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

tokens sequence
[ 1, 7353, 254, 27361, 42009, 310, 1815, 310, 1817, 2411, 343, 254, 3941, 274, 248, 11812, 16, 1822, 310, 573, 282, 513, 311, 913, 597, 343, 618, 7417, 286, 321, 4558, 282, 1309, 347, 43, 513, 4, 282, 254, 636, 274, 618, 13331, 16, 188, 1212, 497, 3686, 276, 12810, 670, 360, 1652, 9331, 286, 2980, 282, 751, 6841, 276, 4852, 14500, 14, 830, 310, 715, 8697, 432, 16, 310, 2980, 248, 1330, 14, 14701, 11812, 16, 839, 3156, 939, 248, 1603, 13860, 286, 1102, 436, 580, 16, 731, 369, 624, 11728, 32227, 14, 286, 701, 573, 248, 2187, 624, 4466, 282, 5053, 432, 16, 9547, 371, 28961, 852, 272, 8418, 2545, 14, 353, 369, 8611, 3834, 3, 731, 369, 593, 3941, 1903, 14, 701, 2263, 1521, 274, 3148, 16, 1469, 1623, 5887, 616, 4866, 3, 1286, 360, 2378, 573, 665, 3418, 390, 7155, 14, 701, 369, 1845, 1062, 9123, 16, 839, 452, 819, 14349, 12604, 274, 772, 11812, 1362, 14, 2470, 338, 27, 14, 374, 18, 19, 20, 16, 3699, 5703, 497, 1062, 17339, 343, 254, 5230, 4610, 16, 731, 2350, 593, 1181, 1755, 683, 748, 310, 573, 43135, 276, 618, 1450, 16, 826, 1623, 369, 618, 6967, 11812, 3, 10944, 368, 593, 1181, 9547, 371, 28961, 324, 4782, 441, 254, 1640, 1362, 274, 772, 4701, 3, 310, 3989, 5419, 616, 282, 3655, 2731, 324, 248, 5230, 3941, 1903, 11812, 16, 188, 1212, 573, 772, 11812, 328, 35152, 3268, 8700, 387, 254, 31905, 14743, 16, 331, 366, 433, 407, 28948, 294, 285, 16, 9547, 371, 28961, 14, 343, 4852, 14500, 19985, 1483, 7022, 26025, 14, 852, 38144, 3760, 2554, 3, 1469, 9107, 286, 10648, 254, 2560, 2288, 14, 593, 310, 1623, 852, 417, 865, 748, 282, 1847, 16, 310, 369, 417, 248, 6685, 27361, 974, 310, 852, 417, 5846, 1181, 274, 254, 7028, 532, 327, 434, 2075, 310, 14167, 436, 2485, 14, 310, 852, 417, 961, 282, 513, 1480, 1181, 785, 16, 2028, 310, 1309, 618, 5769, 286, 310, 497, 23889, 1919, 310, 1623, 1563, 353, 16, 16474, 369, 593, 5230, 16, 380, 16268, 369, 7158, 14, 254, 15669, 369, 22794, 16, 9547, 371, 28961, 1143, 2056, 360, 852, 417, 452, 282, 7461, 668, 2626, 16, 310, 650, 7754, 5419, 4852, 14500, 19985, 1483, 7022, 26025, 282, 665, 4422, 663, 1042, 417, 961, 254, 3941, 274, 7028, 286, 811, 5441, 282, 4126, 615, 2628, 1362, 16, 2666, 11812, 369, 1330, 668, 813, 23, 942, 2194, 532, 353, 369, 8611, 248, 6967, 1663, 1972, 3, 188, 3116, 4335, 286, 310, 403, 432, 5974, 286, 360, 4285, 282, 751, 6841, 276, 31463, 4852, 14500, 314, 14497, 848, 14, 374, 18, 19, 19, 481, 839, 2980, 248, 2875, 16268, 286, 14, 1544, 360, 3051, 495, 18, 18, 18, 10488, 1919, 14, 360, 2980, 248, 44936, 1408, 282, 2035, 286, 22516, 1033, 2429, 2474, 282, 772, 3095, 16, 9547, 371, 28961, 7846, 282, 321, 512, 327, 286, 624, 3, 3699, 11812, 1362, 369, 3834, 14, 1002, 1755, 683, 360, 3159, 28, 254, 3327, 14, 254, 12068, 14, 254, 1062, 5537, 286, 11437, 1979, 6060, 14, 254, 1062, 3011, 24186, 286, 14, 274, 2211, 14, 9547, 371, 28961, 5803, 663, 369, 626, 282, 1041, 2056, 327, 254, 16268, 2350, 25007, 16, 3699, 12603, 286, 441, 573, 248, 20999, 1362, 286, 3997, 476, 625, 3408, 4864, 282, 441, 668, 843, 5167, 286, 963, 9107, 772, 11812, 369, 16, 9127, 9547, 371, 28961, 3, 188, 1982, 368, 403, 7028, 248, 11768, 11812, 276, 254, 4852, 14500, 2104, 14, 1395, 872, 997, 641, 1949, 683, 9547, 371, 28961, 354, 9814, 3891, 16, 1469, 25041, 772, 11812, 314, 18404, 338, 18, 14, 374, 18, 19, 19, 15, 16268, 328, 3561, 12782, 14, 35152, 3268, 343, 8725, 15669, 387, 28948, 294, 285, 328, 254, 6728, 11, 1051, 282, 254, 1062, 1364, 2429, 1269, 2378, 1002, 4654, 479, 276, 1408, 1863, 254, 1362, 1063, 772, 11812, 16, 5830, 2429, 369, 348, 310, 18452, 353, 276, 618, 1450, 14, 603, 417, 1002, 1755, 14, 432, 254, 18231, 286, 12068, 282, 254, 24186, 14, 4093, 82, 382, 14, 2653, 14, 14797, 14, 12762, 2316, 1223, 254, 1640, 628, 369, 327, 310, 852, 417, 452, 282, 7461, 390, 3941, 668, 248, 1956, 2429, 16, 310, 369, 2041, 282, 6761, 671, 343, 618, 1963, 286, 3732, 663, 573, 19057, 6582, 274, 6400, 282, 3768, 772, 1887, 1362, 343, 441, 3, 1286, 310, 807, 513, 618, 11812, 687, 959, 14, 310, 650, 417, 1767, 248, 2115, 4528, 9127, 14, 9547, 371, 28961, 3, 188, 39196, 1038, 625, 3034, 282, 5028, 328, 618, 26636, 4264, 9547, 371, 28961, 434, 14625, 14, 20366, 286, 7028, 14852, 16, 310, 1102, 616, 1460, 3783, 670, 310, 369, 11871, 324, 11768, 48211, 276, 4852, 14500, 286, 2780, 701, 369, 272, 22371, 2131, 282, 441, 324, 772, 11812, 1362, 16, 839, 3051, 276, 20120, 14, 6220, 286, 573, 43135, 772, 11812, 688, 4919, 790, 286, 31463, 1037, 600, 360, 9448, 4852, 14500, 16, 27785, 254, 11812, 7028, 1213, 14, 701, 4400, 9750, 282, 512, 3418, 14, 5532, 390, 7155, 16, 1469, 7017, 650, 1309, 14, 347, 5338, 625, 7461, 668, 327, 11443, 14, 310, 1782, 1354, 1521, 274, 353, 324, 368, 449, 1469, 4003, 441, 282, 818, 1125, 3258, 25944, 282, 772, 11812, 533, 1143, 353, 1872, 593, 3834, 286, 417, 811, 633, 347, 21050, 5362, 2874, 3333, 7052, 254, 1887, 1362, 7053, 14, 701, 6344, 343, 772, 1241, 1362, 2288, 274, 248, 9845, 8725, 14, 32331, 268, 8725, 286, 254, 4445, 11812, 1362, 16, 839, 15939, 327, 701, 587, 321, 1012, 13782, 441, 387, 9199, 324, 8725, 14, 348, 701, 7573, 3428, 811, 747, 248, 1963, 3442, 16, 731, 311, 1623, 417, 248, 15939, 387, 512, 16, 1395, 476, 625, 563, 3320, 343, 9547, 371, 28961, 434, 3134, 16, 310, 650, 388, 2354, 10754, 59, 5419, 616, 282, 3655, 663, 311, 2731, 324, 327, 19081, 1391, 11812, 16, 188, 42, 4123, 9547, 371, 28961, 282, 513, 772, 11812, 369, 254, 1640, 2964, 310, 1797, 2378, 1143, 3, 1469, 311, 248, 819, 248, 41527, 5537, 286, 310, 3428, 747, 310, 369, 276, 1157, 3448, 254, 2560, 1026, 939, 16, 1469, 369, 2430, 593, 1181, 3108 ]
[ 1, 390, 20055, 14, 1041, 2056, 327, 596, 3073, 276, 254, 1581, 16, 188, 1982, 1594, 311, 3320, 14, 368, 872, 282, 12566, 30127, 3676, 23643, 16, 250, 286, 1382, 254, 3797, 959, 16, 188, 188, 1982, 512, 4313, 1157, 14, 368, 476, 1041, 633, 801, 3603, 28, 1465, 15118, 9713, 16, 4640, 257, 7941, 11791, 188, 188, 2148, 743, 16319, 14, 368, 872, 282, 18933, 254, 2629, 1162, 276, 188, 9697, 38136, 65, 9696, 3815, 17, 870, 4338, 46065, 4640, 286, 295, 15, 6149, 254, 1788, 3797, 16, 188, 188, 2148, 624, 1460, 328, 5983, 2520, 10392, 14, 915, 188, 2337, 1333, 13504, 16, 16199, 16, 2000, 17, 20, 17, 7941, 18293, 17, 85, 45651, 382, 16, 2880, 188, 188, 31311, 188, 2855, 7481, 188, 3933, 867, 18109, 22944, 1369, 9713, 14, 1074, 65, 23399, 188, 2855, 1518, 38136, 65, 9696, 3815, 348, 621, 534, 188, 3500, 65, 34690, 426, 543, 477, 684, 1235, 639, 26, 1358, 188, 63, 188, 188, 12199, 65, 34690, 426, 543, 477, 684, 42706, 1358, 477, 684, 42706, 15, 26047, 1358, 477, 684, 42706, 15, 74, 88, 325, 29118, 19, 16, 18, 1358, 477, 684, 42706, 15, 26329, 15, 34178, 29118, 18, 16, 20, 16, 19, 1358, 188, 63, 534, 188, 1510, 1218, 10, 72, 1554, 2192, 477, 1574, 28, 647, 1076, 1493, 10, 375, 16, 3839, 16, 13575, 10, 375, 16, 3839, 16, 43696, 18050, 3039, 870, 581, 270, 1554, 4878, 1073, 1067, 477, 3584, 19127, 4608, 28, 647, 1076, 14661, 188, 188, 22591, 10, 477, 1390, 567, 42706, 15, 9697, 38136, 15, 9696, 3815, 985, 477, 2629, 31, 1194, 24051, 4015, 29646, 477, 5575, 31, 1073, 2012, 19013, 32258, 11162, 477, 1034, 65, 9742, 31, 1073, 2012, 13217, 5134, 16, 36098, 11162, 477, 7771, 5313, 510, 20082, 4493, 1358, 477, 13130, 31, 4862, 2611, 20289, 15993, 477, 27733, 5313, 42706, 14, 621, 14, 295, 32895, 14, 1518, 38136, 14, 6453, 14, 6051, 1358, 477, 2410, 5313, 27465, 4669, 349, 24694, 1358, 477, 2410, 65, 12460, 5313, 1763, 288, 349, 74, 34, 22903, 16, 679, 1358, 477, 9433, 567, 3494, 1333, 7088, 16, 679, 17, 2627, 781, 31595, 17, 42706, 15, 9697, 38136, 15, 9696, 3815, 985, 477, 11819, 31, 8380, 65, 23399, 5550, 477, 2408, 65, 10426, 65, 2137, 31, 4937, 14, 477, 3227, 65, 34690, 31, 12199, 65, 34690, 14, 477, 40697, 65, 15248, 11469, 647, 684, 3500, 5141, 1443, 65, 34690, 14, 477, 3454, 188, 11, 188, 0, 31311, 188, 4390, 274, 4960, 282, 8494, 9536, 4179, 23950, 286, 5042, 274, 248, 3471, 188, 26695, 713, 248, 743, 34807, 390, 4331, 15, 13324, 3471, 1631, 16, 188, 188, 31311, 188, 188, 31311, 188, 20343, 374, 18, 18, 27, 15, 20, 18, 19, 23, 45989, 1297, 6338, 3627, 188, 188, 1516, 1819, 311, 628, 274, 7048, 81, 14, 248, 15118, 6161, 282, 1336, 5698, 2542, 188, 21023, 5831, 8641, 16, 188, 188, 4640, 81, 311, 1903, 3571, 28, 368, 476, 24692, 353, 286, 17, 264, 9741, 188, 263, 758, 254, 2349, 274, 254, 11641, 31251, 4078, 5105, 4493, 348, 188, 15415, 407, 254, 7446, 8870, 6625, 14, 1996, 2629, 495, 274, 254, 188, 17233, 14, 390, 314, 256, 633, 4360, 11, 665, 1938, 2629, 16, 188, 188, 4640, 81, 311, 5770, 276, 254, 3409, 327, 353, 587, 321, 4081, 14, 188, 2770, 14588, 8867, 22458, 29, 1269, 1002, 254, 10195, 17036, 274, 188, 36652, 19786, 390, 19917, 6474, 330, 19783, 19517, 16, 210, 2512, 254, 188, 45612, 31251, 4078, 5105, 4493, 324, 624, 4139, 16, 188, 188, 1368, 933, 452, 2865, 248, 3378, 274, 254, 11641, 31251, 4078, 5105, 188, 17233, 2049, 343, 7048, 81, 16, 210, 1286, 417, 14, 915, 653, 2337, 1333, 2614, 16, 25606, 16, 2000, 17, 16652, 38457, 188, 31311, 188, 2855, 11555, 14, 3512, 188, 3933, 791, 6271, 1369, 475, 188, 3933, 791, 22502, 1369, 475, 188, 3933, 3395, 1369, 7141, 546, 2466, 14, 4318, 2466, 188, 188, 2360, 9006, 10, 50, 11583, 4103, 2192, 477, 11916, 477, 331, 15010, 317, 269, 9330, 343, 1423, 328, 254, 5042, 2715, 16, 1465, 1146, 15412, 28, 1146, 4640, 28, 2360, 29264, 50, 11583, 4103, 66, 1465, 1146, 16069, 28, 2621, 3175, 1146, 8239, 81, 4103, 926, 19255, 2542, 282, 1213, 16, 647, 20204, 1146, 539, 14, 14842, 926, 10771, 274, 7909, 328, 254, 3096, 912, 8861, 16, 25140, 387, 926, 30697, 671, 756, 16, 17673, 85, 282, 374, 16, 647, 3096, 1146, 8035, 390, 8239, 81, 4103, 926, 25702, 274, 254, 3471, 328, 254, 3096, 912, 8861, 14, 869, 470, 286, 338, 16, 926, 17673, 85, 282, 470, 16, 23, 16, 647, 5042, 1146, 8035, 390, 8239, 81, 4103, 926, 2955, 700, 274, 3471, 39340, 282, 254, 8476, 7909, 14, 926, 869, 470, 286, 338, 16, 17673, 85, 282, 470, 16, 23, 16, 1465, 29708, 257, 426, 12969, 10, 80, 1421, 5047, 31, 20, 481, 13082, 1067, 477, 29708, 257, 16, 5318, 1067, 477, 29708, 248, 426, 1583, 877, 10, 30460, 35036, 20, 11, 477, 29708, 299, 4637, 426, 323, 460, 10, 39523, 31, 19, 14, 22160, 35036, 23, 14, 818, 35036, 23, 11, 477, 29708, 269, 426, 9006, 10, 67, 14, 20204, 31, 20, 14, 3096, 31, 78, 4637, 481, 483, 1067, 1465, 11916, 477, 804, 4623, 4338, 21257, 1262, 14, 3175, 14, 20204, 31, 20, 14, 3096, 31, 18, 16, 23, 14, 5042, 31, 18, 16, 23, 14, 22160, 31, 19, 14, 818, 31, 18, 2192, 647, 8239, 81, 4103, 24051, 4338, 21257, 1262, 14, 22160, 14, 818, 11, 647, 1827, 3226, 5263, 426, 3175, 647, 1827, 3226, 3900, 426, 3096, 647, 1827, 3226, 8128, 426, 20204, 647, 1827, 3226, 41073, 426, 5042, 647, 1827, 3226, 250, 65, 72, 6302, 426, 19255, 40, 6302, 10, 5263, 11, 647, 276, 65, 72, 6302, 14, 3096, 14, 5042, 14, 22160, 14, 818, 14, 299, 3958, 426, 6283, 16069, 1934, 48024, 10, 1262, 3226, 250, 65, 72, 6302, 14, 3096, 14, 5042, 14, 22160, 14, 818, 11, 647, 1827, 3226, 4643, 65, 1935, 398, 426, 543, 50, 9330, 65, 4643, 10, 13215, 10, 250, 65, 72, 6302, 14, 75, 581, 20204, 14, 15932, 10, 3900, 14, 75, 581, 15932, 10, 41073, 14, 75 ]
[ 1, 10825, 16, 24820, 282, 441, 1063, 353, 311, 1480, 3447, 16, 0, 6687, 15, 40, 9850, 14, 3792, 286, 9701, 14, 338, 27, 26, 21, 1091, 338, 27, 27, 23, 14, 22488, 10501, 9494, 6284, 14, 3567, 16, 17287, 14, 338, 27, 26, 24, 14, 4704, 10501, 17033, 10351, 14, 3124, 274, 48007, 18637, 9494, 5240, 16, 17287, 14, 338, 27, 26, 24, 1091, 338, 27, 26, 27, 14, 19231, 5329, 38108, 6852, 14, 3605, 5942, 5240, 16, 188, 19632, 14, 338, 27, 27, 22, 1091, 1225, 14, 5816, 274, 35222, 14, 286, 42462, 84, 14, 374, 18, 18, 20, 1091, 1225, 14, 3605, 7956, 5942, 5225, 4352, 14, 3605, 5942, 5240, 16, 188, 28124, 14, 338, 27, 26, 21, 1091, 338, 27, 26, 24, 14, 5044, 1180, 18626, 41690, 1180, 380, 5048, 4912, 14, 48007, 14, 5942, 16, 188, 19632, 14, 338, 27, 26, 24, 15, 14651, 29, 9701, 14, 338, 27, 26, 27, 1091, 338, 27, 27, 19, 14, 374, 18, 18, 19, 1091, 374, 18, 18, 23, 29, 13992, 14, 374, 18, 18, 19, 1091, 374, 18, 18, 20, 29, 21107, 84, 14, 374, 18, 18, 20, 1091, 374, 18, 18, 21, 29, 3879, 15, 13100, 14, 374, 18, 18, 21, 15, 20, 18, 18, 22, 29, 286, 3879, 314, 20, 18, 18, 22, 1091, 374, 18, 18, 23, 557, 6321, 33976, 48007, 21656, 551, 14, 48007, 14, 5942, 16, 188, 24383, 6479, 274, 254, 802, 14, 374, 18, 18, 25, 15, 20, 18, 18, 26, 16, 188, 24383, 551, 40820, 5557, 324, 374, 18, 19, 19, 15, 20, 18, 19, 20, 3443, 407, 4272, 607, 25, 27, 18, 15201, 16, 188, 7260, 31570, 16077, 5557, 14, 374, 18, 19, 20, 286, 374, 18, 19, 21, 16, 188, 31678, 12560, 14, 4175, 29042, 6086, 28420, 7637, 38246, 29, 29042, 4762, 48007, 29, 24030, 407, 6321, 33976, 15, 2816, 24363, 21656, 551, 29, 4452, 374, 18, 18, 27, 15, 20, 18, 19, 24, 16, 188, 6687, 15, 40, 9850, 286, 9701, 14, 338, 27, 26, 27, 1091, 338, 27, 27, 22, 14, 3206, 5883, 10319, 1310, 10017, 41162, 16, 188, 54, 33783, 6284, 328, 36921, 1186, 286, 16226, 46108, 14, 48007, 32878, 6852, 14, 338, 27, 27, 20, 1091, 338, 27, 27, 21, 16, 188, 12216, 4844, 15096, 10533, 15, 21092, 14, 2857, 2093, 6852, 14, 3605, 7956, 5942, 17920, 28059, 41162, 14, 338, 27, 27, 20, 1091, 338, 27, 27, 21, 14, 286, 15709, 15096, 10533, 14, 338, 27, 27, 21, 1091, 338, 27, 27, 23, 16, 188, 19632, 14, 338, 27, 27, 18, 1091, 338, 27, 27, 20, 14, 32329, 496, 14334, 4539, 40434, 41309, 6852, 29, 6616, 14, 4929, 338, 27, 27, 19, 14, 5942, 26921, 7456, 506, 18107, 29, 10945, 274, 10120, 324, 6110, 6739, 39781, 282, 10017, 939, 1834, 12485, 551, 17097, 3142, 420, 343, 5048, 11097, 2867, 21041, 14, 338, 27, 26, 27, 1091, 338, 27, 27, 20, 14, 31175, 3775, 655, 406, 1036, 26921, 10017, 8028, 387, 5604, 13907, 4704, 4580, 29, 745, 41500, 3442, 14, 48007, 374, 18, 18, 18, 14, 3206, 3497, 268, 607, 314, 3711, 503, 18220, 1917, 286, 26304, 28701, 20113, 581, 338, 27, 27, 20, 29, 1822, 276, 16896, 343, 48007, 20289, 4580, 4272, 16, 188, 19632, 14, 309, 33783, 3801, 24585, 6640, 17920, 15, 28724, 32878, 6852, 14, 338, 27, 27, 20, 1091, 338, 27, 27, 23, 16, 188, 39067, 6480, 1544, 338, 27, 27, 18, 276, 17805, 2142, 21903, 274, 5537, 8766, 8946, 16, 0, 35, 1515, 264, 796, 1914, 282, 22552, 1033, 886, 276, 254, 2069, 14, 8838, 32393, 26656, 2977, 286, 5228, 33131, 16, 188, 1516, 1039, 255, 594, 15, 29984, 14, 2057, 2069, 29781, 5961, 4658, 21180, 5215, 14, 10479, 25381, 286, 10555, 2116, 44014, 16, 380, 3834, 1914, 670, 254, 2069, 311, 3989, 20563, 14, 3400, 328, 1656, 2269, 390, 4544, 305, 2044, 16, 0, 54, 23688, 384, 5249, 465, 266, 5815, 2307, 46236, 32905, 46409, 14, 480, 29702, 24312, 979, 4487, 293, 247, 507, 85, 1888, 256, 8501, 12555, 317, 1448, 303, 1542, 766, 400, 11936, 27580, 363, 14347, 1366, 44155, 247, 1886, 81, 6190, 267, 16, 338, 18, 26, 18, 3379, 607, 18, 8636, 308, 5573, 396, 77, 4322, 13913, 16, 21817, 5978, 88, 10297, 22073, 714, 74, 535, 4389, 1277, 75, 14, 299, 20608, 250, 247, 778, 2399, 317, 293, 1366, 17464, 654, 328, 8208, 312, 766, 329, 308, 14, 1108, 3568, 1559, 263, 778, 2399, 317, 328, 641, 365, 308, 329, 308, 14, 30113, 654, 75, 536, 188, 45, 1172, 466, 328, 24018, 25194, 8566, 4222, 1998, 331, 1886, 13550, 250, 30652, 4595, 35432, 953, 1411, 2307, 8962, 1366, 20735, 14, 22651, 8208, 312, 383, 15742, 30905, 455, 328, 953, 1411, 2307, 8962, 1366, 20735, 24018, 25194, 3763, 3190, 1998, 16, 309, 2791, 727, 8671, 465, 8401, 91, 21824, 1366, 3763, 11596, 659, 3874, 14, 247, 2791, 727, 8671, 465, 8401, 91, 21824, 1366, 3763, 11596, 659, 3874, 328, 396, 5486, 17917, 465, 344, 5154, 263, 23563, 28525, 22387, 249, 6558, 16, 22420, 451, 885, 465, 654, 91, 25861, 250, 43132, 1741, 1366, 536, 188, 50, 1255, 14400, 28, 338, 607, 18, 18, 8501, 300, 8671, 15397, 6870, 383, 288, 374, 18, 19, 24, 41210, 16, 21209, 81, 607, 25, 22, 306, 14, 1434, 20735, 465, 8732, 664, 1548, 16, 32820, 23772, 570, 21920, 14882, 4215, 34234, 1366, 257, 400, 87, 301, 885, 465, 2266, 258, 4389, 267, 299, 2307, 91, 554, 1366, 14, 34234, 1366, 16, 610, 8732, 256, 548, 88, 493, 4870, 267, 465, 2266, 258, 5746, 341, 659, 766, 1366, 28167, 1366, 13974, 23772, 1711, 16, 354, 536, 188, 6906, 28302, 328, 1464, 14, 633, 2127, 14, 286, 12856, 13421, 403, 13011, 343, 1093, 282, 1074, 2365, 10200, 16, 34942, 2591, 3310, 332, 20841, 7644, 1845, 37681, 282, 25315, 2374, 561, 248, 11947, 2591, 3310, 8329, 1063, 4654, 16, 14933, 248, 6973, 5598, 3845, 3407, 21918, 403, 3506, 14, 532, 368, 476, 18371, 729, 407, 19122, 248, 1603, 6973, 24061, 16, 4801, 721, 403, 19029, 48075, 343, 4566, 819, 348, 28064, 5802, 14, 20313, 14, 12061, 390, 17591, 23696, 282, 42959, 16, 1258, 85, 2377, 353 ]
[ 1, 4149, 14, 9799, 314, 1578, 855, 11, 407, 254, 4547, 827, 281, 561, 274, 24286, 13277, 14, 663, 311, 669, 254, 385, 2625, 319, 28609, 274, 254, 11619, 16, 3805, 37389, 311, 43633, 14, 1081, 19973, 403, 17180, 32472, 594, 16, 826, 6318, 3133, 314, 47, 1020, 11, 7729, 282, 254, 3405, 2069, 314, 20176, 660, 581, 532, 669, 4708, 254, 7716, 314, 20176, 660, 11, 343, 254, 28609, 274, 254, 14875, 314, 12222, 481, 188, 20176, 660, 314, 46, 19, 14, 1827, 22080, 11, 311, 276, 367, 262, 705, 14, 248, 3893, 17874, 726, 855, 14, 533, 8405, 520, 1464, 4133, 276, 763, 1062, 5634, 12133, 16, 826, 311, 12480, 5618, 407, 37389, 28, 345, 311, 43633, 28, 1205, 520, 1464, 4424, 801, 713, 580, 3758, 14, 387, 248, 2110, 1110, 353, 587, 563, 276, 1495, 16, 188, 510, 12696, 2680, 276, 24286, 311, 11585, 276, 254, 338, 18, 394, 2342, 2722, 282, 254, 14875, 286, 47955, 248, 2196, 34847, 314, 46, 19, 18, 481, 1469, 311, 669, 254, 1177, 12630, 28609, 274, 254, 10718, 855, 16, 380, 4013, 311, 1438, 282, 6106, 254, 2664, 281, 276, 24286, 314, 44, 28700, 481, 1993, 403, 1062, 2196, 13629, 274, 2251, 16, 188, 510, 5095, 314, 7519, 11, 311, 28980, 407, 33161, 14, 2196, 276, 520, 1193, 14098, 286, 1788, 254, 16427, 14, 532, 276, 254, 848, 394, 2342, 16, 1472, 267, 23750, 457, 85, 5095, 4279, 688, 2169, 274, 9016, 16, 188, 510, 4547, 827, 281, 561, 274, 24286, 286, 2926, 1472, 267, 23750, 457, 85, 1881, 375, 2020, 311, 13277, 276, 254, 890, 394, 2342, 274, 4149, 16, 13277, 311, 755, 251, 735, 460, 286, 276, 248, 17558, 291, 2342, 14, 2328, 254, 8631, 624, 8093, 16, 750, 311, 254, 3506, 1389, 1065, 274, 22925, 286, 4653, 1575, 286, 14505, 16, 330, 7198, 255, 2701, 248, 2187, 274, 27669, 343, 520, 1096, 1285, 1033, 1956, 5332, 286, 2926, 10665, 1034, 13474, 14, 1002, 2101, 345, 1042, 593, 756, 407, 5778, 35162, 1444, 417, 2876, 1062, 2019, 387, 254, 980, 274, 254, 5332, 432, 830, 573, 2956, 16, 5066, 14, 15380, 403, 28149, 7004, 276, 5475, 4203, 14, 593, 13277, 1844, 276, 436, 2342, 3032, 4426, 16, 188, 686, 5732, 7640, 26128, 14, 3759, 311, 417, 2258, 343, 3183, 390, 665, 2107, 855, 532, 343, 17558, 291, 9648, 17, 26252, 4902, 16, 1993, 15641, 4149, 286, 2926, 4715, 16, 188, 33314, 14, 1745, 15, 5366, 22947, 7664, 348, 1045, 6517, 2118, 403, 2258, 343, 688, 2169, 274, 4502, 3759, 14, 417, 348, 3684, 348, 254, 4800, 25985, 7664, 14, 417, 348, 3355, 348, 254, 4092, 7664, 16, 380, 3759, 311, 624, 30156, 3353, 16, 188, 60, 267, 23750, 4168, 1125, 1090, 348, 248, 1056, 6082, 14, 533, 29515, 436, 5979, 13277, 1062, 963, 16, 750, 18898, 1181, 343, 7478, 3133, 276, 520, 769, 6866, 666, 5095, 14, 348, 248, 7021, 338, 286, 374, 6082, 16, 3996, 1062, 5384, 14, 345, 1582, 3285, 254, 1162, 580, 16, 750, 1845, 573, 282, 10888, 1385, 7478, 3133, 314, 47, 1020, 14, 4547, 827, 281, 561, 274, 24286, 14, 276, 254, 2342, 274, 254, 15380, 481, 188, 6264, 14, 276, 248, 5332, 14, 254, 6082, 1042, 417, 756, 872, 282, 27534, 14, 532, 3095, 282, 865, 670, 282, 3355, 1051, 276, 254, 8948, 14, 390, 670, 282, 1252, 3689, 14, 843, 282, 20763, 1637, 286, 1862, 624, 1575, 286, 1125, 642, 1789, 533, 403, 1062, 1369, 324, 1472, 267, 23750, 16, 4644, 282, 520, 8105, 14, 345, 369, 1181, 274, 248, 7478, 6082, 2499, 683, 811, 272, 26416, 7198, 255, 16, 13277, 311, 276, 254, 2256, 37424, 274, 34736, 14, 286, 34736, 311, 276, 254, 2256, 37424, 274, 13277, 16, 3774, 520, 2482, 311, 23479, 328, 7131, 14, 520, 19785, 15921, 311, 900, 276, 248, 5011, 1026, 16, 188, 3294, 254, 1057, 671, 14, 13277, 314, 779, 5332, 11, 311, 669, 1472, 267, 23750, 457, 85, 2417, 16, 13277, 311, 17805, 37389, 14, 520, 3405, 2069, 314, 46, 19, 11, 407, 855, 1205, 345, 669, 492, 1083, 254, 11619, 16, 188, 38, 1437, 252, 314, 60, 267, 23750, 457, 85, 7148, 14, 520, 5095, 11, 311, 47955, 13277, 16, 37219, 286, 5332, 403, 520, 1464, 16, 750, 2468, 513, 1269, 327, 16, 1268, 520, 3405, 2069, 314, 27828, 2437, 11, 311, 9799, 407, 254, 28609, 274, 254, 848, 394, 2342, 14, 254, 4013, 16, 1664, 311, 248, 4236, 282, 2014, 16, 188, 1982, 360, 1354, 254, 1307, 2777, 570, 713, 7966, 14, 360, 915, 1949, 4139, 16, 188, 20176, 660, 457, 85, 1307, 2777, 280, 311, 276, 254, 338, 18, 394, 2342, 286, 10047, 12554, 268, 286, 6648, 3405, 3133, 713, 520, 5095, 16, 188, 47, 1020, 2826, 386, 2777, 280, 311, 1062, 2722, 282, 1472, 267, 23750, 457, 85, 338, 18, 394, 2342, 28609, 14, 19474, 5095, 343, 22925, 16, 188, 60, 267, 23750, 369, 9619, 254, 2371, 20104, 5332, 387, 254, 5521, 418, 664, 5272, 800, 328, 4297, 338, 23, 394, 14, 374, 18, 18, 19, 670, 345, 3542, 254, 1423, 274, 520, 1096, 16, 750, 369, 495, 22, 1090, 1668, 286, 520, 338, 19, 394, 2342, 369, 10288, 16, 7644, 28609, 13277, 14, 254, 4547, 827, 281, 561, 274, 24286, 14, 3285, 254, 28609, 274, 254, 802, 16, 380, 1844, 274, 254, 14875, 276, 436, 2342, 2636, 520, 5095, 282, 321, 14459, 276, 436, 802, 16, 5328, 14, 1544, 34736, 311, 669, 276, 436, 2342, 14, 436, 8631, 669, 4765, 248, 2165, 4533, 348, 360, 587, 915, 16, 188, 20, 18, 18, 19, 311, 1726, 324, 3265, 7729, 282, 9490, 314, 47, 2199, 1588, 418, 24, 581, 286, 5475, 4203, 314, 46, 27, 481, 23485, 327, 13277, 10466, 4653, 22925, 14, 436, 802, 369, 248, 4475, 580, 16, 496, 1596, 14, 360, 452, 282, 1852, 327, 399, 1437, 252, 311, 276, 6517, 2118, 14, 286, 2926, 669, 12614, 407, 34736, 16, 496, 248, 2110, 3177, 360, 476, 8340, 401, 366, 8920, 1472, 267, 23750, 248, 4188, 28, 1996, 282, 1862, 597, 286, 7924, 520, 4688, 390, 1450, 324, 642, 44458, 29143, 16, 750, 852, 254, 5987, 16, 188, 510, 7760, 355, 3592, 811, 2636 ]
[ 1, 666, 314, 5844, 85, 338, 28, 26, 481, 380, 6967, 327, 7467, 3419, 2936, 17883, 369, 254, 6967, 274, 248, 4715, 16, 17403, 14, 40059, 67, 14, 5604, 7911, 14, 254, 7435, 274, 254, 5979, 1111, 3414, 311, 248, 1062, 1887, 6967, 3, 839, 403, 1045, 974, 274, 327, 6967, 16, 1260, 2740, 17883, 286, 6851, 274, 2936, 5935, 14, 7467, 311, 6817, 441, 282, 669, 6967, 1887, 3, 188, 21516, 441, 276, 374, 18, 19, 25, 348, 360, 24912, 713, 748, 353, 4313, 747, 282, 6967, 1887, 324, 633, 5935, 1111, 395, 254, 11182, 16, 0, 686, 374, 18, 19, 19, 14, 4966, 31547, 68, 1143, 580, 274, 254, 944, 512, 971, 14, 8808, 10204, 422, 11021, 274, 254, 802, 16, 731, 369, 248, 18265, 27225, 9060, 247, 9560, 14, 11471, 14, 286, 272, 848, 23, 15, 2823, 15, 741, 6515, 636, 16, 731, 369, 500, 9153, 46822, 274, 323, 33210, 1111, 1945, 1340, 248, 2835, 668, 500, 9153, 1585, 81, 14, 254, 6287, 3686, 257, 33210, 25647, 286, 520, 1409, 324, 25932, 14, 286, 10295, 248, 2835, 668, 811, 843, 6475, 5198, 248, 6268, 6394, 476, 7125, 559, 248, 6977, 2494, 279, 640, 294, 274, 9060, 37328, 16, 188, 1982, 626, 434, 12740, 663, 5887, 254, 19223, 1575, 274, 5230, 32466, 14, 353, 434, 31547, 68, 1111, 395, 276, 374, 18, 19, 23, 14, 345, 13286, 254, 500, 9153, 5811, 713, 254, 24622, 18265, 2868, 39501, 434, 5116, 14, 533, 1856, 254, 5461, 14612, 551, 6928, 434, 9315, 10366, 262, 22600, 11899, 5557, 286, 369, 24709, 324, 272, 28499, 91, 16, 496, 580, 15, 11642, 12926, 314, 4465, 31547, 68, 8925, 11029, 286, 4395, 37089, 581, 39501, 434, 5116, 755, 3091, 713, 254, 4701, 274, 7899, 551, 47828, 432, 1444, 254, 1499, 14, 432, 2702, 5001, 570, 282, 11546, 2963, 282, 22451, 282, 8514, 9496, 14, 8864, 671, 276, 615, 14696, 14, 8352, 85, 14, 24412, 14, 286, 8841, 16, 1258, 434, 811, 1309, 353, 434, 8298, 14256, 324, 3997, 3584, 1093, 343, 272, 6153, 12261, 390, 248, 32639, 2502, 26420, 5644, 568, 16, 188, 510, 1250, 2858, 274, 39501, 434, 5116, 314, 4465, 3277, 47828, 747, 18751, 2200, 331, 31447, 274, 1997, 294, 1297, 331, 31447, 14, 23347, 25647, 6365, 1997, 6893, 14, 286, 13258, 30507, 16394, 274, 7855, 434, 1201, 19842, 11, 262, 2066, 282, 3575, 328, 24622, 2966, 16, 1838, 310, 7360, 343, 31547, 68, 668, 2858, 763, 434, 944, 6037, 15, 7575, 273, 16637, 14, 254, 671, 345, 18203, 38372, 276, 10586, 14, 286, 14, 274, 2211, 14, 843, 282, 1354, 633, 1640, 2653, 5218, 357, 10348, 16, 188, 510, 5742, 3315, 274, 436, 2858, 311, 811, 22223, 16, 3063, 368, 452, 248, 7383, 4950, 390, 248, 7383, 11295, 327, 434, 276, 353, 33, 188, 510, 2382, 327, 1623, 6054, 561, 324, 479, 311, 254, 4950, 274, 254, 13258, 30507, 16394, 11295, 327, 360, 2169, 274, 43209, 328, 29, 432, 248, 1708, 15, 3374, 1806, 14, 368, 915, 327, 626, 403, 836, 1612, 12068, 3435, 561, 14, 286, 10985, 16, 310, 811, 1141, 327, 434, 272, 15645, 45347, 2382, 16, 188, 1843, 626, 434, 1495, 4950, 274, 6676, 13743, 5444, 3198, 248, 47986, 70, 3, 2003, 434, 432, 2939, 38860, 10593, 333, 67, 434, 10032, 14, 286, 345, 34085, 742, 254, 1708, 286, 436, 10985, 3144, 561, 343, 436, 16832, 15, 13195, 6676, 13743, 16, 6578, 311, 2602, 40927, 276, 272, 1307, 774, 81, 16, 188, 7176, 580, 369, 254, 944, 2746, 282, 8987, 33, 188, 38, 6247, 5444, 276, 39353, 2353, 254, 944, 785, 282, 915, 16, 3699, 4977, 1245, 311, 756, 593, 1017, 14, 593, 368, 452, 282, 6975, 254, 6394, 713, 272, 17810, 1844, 282, 915, 748, 434, 3198, 16, 740, 1719, 552, 360, 1441, 2731, 4800, 1051, 713, 248, 11295, 390, 4680, 248, 2741, 14, 327, 434, 248, 2628, 4950, 327, 4279, 688, 4325, 671, 16, 188, 4, 1853, 3402, 348, 360, 8195, 254, 4950, 14, 248, 13003, 15259, 786, 8202, 3858, 713, 254, 3544, 449, 188, 1253, 360, 512, 2314, 668, 39501, 434, 5116, 14, 286, 668, 500, 9153, 248, 1603, 1090, 3502, 14, 403, 836, 22794, 2722, 15, 484, 13394, 274, 2653, 1129, 1143, 14, 390, 2653, 1129, 34275, 16, 1691, 2169, 274, 3758, 513, 368, 1862, 47828, 670, 596, 1441, 328, 6394, 33, 188, 2976, 254, 17458, 286, 15142, 13967, 41002, 328, 254, 913, 403, 1062, 17733, 16, 839, 512, 2314, 282, 5838, 16, 1838, 360, 5155, 276, 248, 1026, 327, 13792, 282, 611, 3035, 748, 2428, 3149, 441, 668, 254, 2653, 16, 24836, 327, 8460, 9349, 18571, 432, 254, 1844, 368, 1503, 321, 6876, 276, 387, 248, 2741, 1111, 3414, 434, 272, 6723, 272, 8223, 3442, 476, 1623, 4132, 343, 16, 7823, 4140, 311, 19539, 2683, 14, 7919, 580, 628, 274, 254, 3544, 276, 9229, 2683, 286, 254, 1515, 3563, 274, 783, 2175, 561, 3108, 353, 16, 188, 1212, 669, 5155, 328, 4270, 21683, 14292, 14, 688, 274, 254, 22740, 5698, 14292, 368, 476, 751, 14, 286, 360, 1665, 1004, 11295, 7100, 328, 748, 360, 1141, 18956, 353, 1111, 27019, 1062, 2519, 1665, 14, 974, 603, 626, 403, 1837, 19978, 390, 254, 12551, 274, 248, 1665, 742, 254, 5183, 3108, 353, 14, 368, 1038, 625, 961, 327, 16, 1268, 254, 1491, 4140, 14, 603, 626, 311, 580, 14, 311, 327, 360, 1441, 9349, 47828, 663, 1041, 15645, 5230, 2653, 16, 839, 1441, 417, 4094, 6261, 1111, 43, 476, 625, 1041, 248, 29847, 2726, 1371, 289, 1344, 42491, 997, 348, 1157, 348, 1594, 368, 1817, 915, 328, 254, 913, 16, 188, 3912, 274, 254, 6258, 327, 434, 811, 14499, 46231, 436, 2858, 311, 254, 23550, 486, 387, 254, 980, 274, 254, 2939, 38860, 10593, 333, 67, 8802, 1111, 455, 1093, 9569, 286, 36826, 14, 502, 7984, 2049, 282, 8716, 3327, 16, 19329, 479, 748, 353, 434, 747, 282, 2986, 1594, 747, 327, 16, 188, 1212, 1052, 327, 772, 347, 18918, 18329, 38361, 928, 11479, 407, 248, 6029, 276, 500, 9153, 46822, 274, 323, 33210, 830, 543, 779, 45781, 2653, 7098, 63, 12607, 87, 5636, 288, 26196, 30989, 9795, 668, 500, 9153, 434, 39024, 13151, 747, 248, 12350, 81, 16, 839 ]
[ 1, 670, 16739, 772, 17880, 14, 286, 360, 457, 251, 12864, 360, 457, 307, 2449, 272, 440, 1054, 18318, 5278, 274, 13420, 276, 248, 5081, 274, 14544, 1648, 4740, 28076, 14, 4740, 279, 13525, 5372, 14, 4740, 17197, 322, 286, 4740, 2482, 75, 5372, 16, 6499, 274, 772, 13420, 403, 8869, 11535, 282, 771, 281, 43684, 9965, 706, 38760, 286, 1856, 457, 86, 321, 1102, 9564, 1952, 14, 1648, 254, 13562, 771, 366, 1896, 16603, 286, 10227, 439, 358, 1578, 448, 281, 7606, 82, 437, 1297, 16603, 16, 12033, 368, 457, 251, 2731, 324, 15814, 16601, 390, 1594, 624, 5732, 14, 9747, 248, 5340, 274, 10062, 14, 1741, 888, 286, 7712, 348, 368, 5127, 254, 2764, 274, 633, 1683, 457, 85, 10473, 16, 29616, 16, 0, 11512, 1090, 3502, 2966, 14, 17890, 15, 21857, 258, 753, 16781, 388, 4840, 399, 746, 369, 306, 24551, 1051, 3238, 254, 3780, 274, 254, 14565, 375, 11235, 345, 15722, 276, 39842, 14, 13917, 16, 23721, 12489, 14, 2271, 40112, 390, 838, 7059, 670, 345, 369, 9091, 407, 3746, 1322, 328, 1081, 6936, 324, 520, 3808, 274, 13387, 286, 39165, 869, 45664, 286, 36368, 2380, 14, 399, 746, 369, 248, 10021, 4179, 286, 248, 636, 274, 6158, 327, 310, 1256, 267, 25766, 282, 8470, 23714, 4237, 10237, 16, 188, 61, 19509, 10944, 368, 324, 2328, 819, 272, 14375, 14, 13072, 7477, 282, 436, 12434, 4326, 16, 1395, 14, 417, 254, 42910, 409, 262, 494, 14, 7699, 26098, 14, 9391, 11523, 403, 580, 254, 1125, 4462, 2075, 310, 715, 9714, 282, 1052, 4128, 44791, 348, 963, 348, 248, 16781, 16, 188, 18432, 14, 8872, 382, 276, 13917, 30793, 830, 353, 369, 327, 13369, 1008, 1362, 286, 669, 13432, 328, 843, 254, 5672, 713, 520, 2393, 555, 643, 5043, 282, 3407, 16, 188, 61, 19509, 830, 513, 360, 1431, 33, 13644, 254, 7498, 643, 13658, 14, 452, 1093, 5346, 643, 28136, 33, 3006, 407, 248, 1034, 4950, 16, 388, 4840, 399, 746, 457, 85, 15656, 3737, 248, 1280, 9994, 254, 6280, 327, 596, 403, 4414, 830, 596, 497, 1241, 1090, 3502, 16, 7023, 254, 4445, 17322, 14, 28223, 17006, 5604, 505, 14, 311, 3108, 8735, 16, 36840, 5887, 663, 21768, 9015, 4861, 668, 254, 13822, 1385, 399, 746, 457, 85, 1464, 14, 532, 1002, 2101, 387, 801, 596, 497, 6763, 14, 254, 2153, 1385, 512, 836, 5898, 452, 643, 8013, 16, 1547, 512, 1311, 452, 5346, 7180, 276, 14, 324, 1610, 14, 254, 3398, 3377, 16, 1691, 476, 360, 7328, 14, 642, 683, 327, 3198, 254, 1350, 6402, 14, 12106, 4107, 248, 14805, 668, 8205, 276, 436, 18647, 7498, 1068, 16, 188, 6609, 388, 4840, 1515, 276, 6158, 16, 0, 2943, 310, 1141, 274, 1963, 9253, 14, 310, 1141, 274, 16612, 8419, 9253, 16, 39676, 594, 14, 353, 555, 643, 327, 274, 254, 3282, 7895, 254, 1963, 14, 286, 254, 3002, 3089, 1521, 274, 254, 2086, 16, 2640, 5511, 36616, 22809, 420, 14, 327, 555, 4251, 24246, 16, 496, 1125, 10589, 254, 3002, 311, 254, 1964, 4682, 1305, 324, 254, 1963, 14, 286, 254, 3282, 311, 1635, 254, 4686, 274, 1521, 28092, 254, 2086, 16, 12809, 1081, 4507, 7948, 14, 15175, 254, 2086, 758, 254, 1521, 274, 248, 296, 9792, 390, 5208, 654, 3938, 16, 310, 1305, 13540, 670, 353, 3144, 282, 254, 4688, 282, 1305, 4254, 1963, 16, 310, 2780, 1081, 3002, 286, 3282, 933, 1872, 9441, 274, 254, 977, 282, 785, 286, 2023, 324, 615, 1963, 390, 1354, 1521, 274, 615, 2086, 16, 21256, 282, 2023, 4682, 7675, 324, 615, 1963, 311, 417, 272, 11535, 977, 282, 580, 2796, 1707, 328, 8419, 16, 0, 11478, 85, 706, 8573, 995, 3625, 5205, 28, 740, 4050, 5205, 276, 533, 368, 8943, 286, 3279, 254, 4742, 286, 25785, 274, 254, 14235, 706, 1910, 995, 276, 1321, 286, 2958, 18903, 24593, 286, 11608, 436, 9359, 2662, 825, 1063, 4917, 254, 4050, 5205, 16, 188, 25730, 286, 11608, 436, 9359, 2662, 825, 1063, 12055, 16714, 16, 188, 8209, 360, 11586, 368, 282, 3316, 254, 33479, 5367, 2211, 3315, 1285, 633, 801, 763, 1090, 328, 13416, 14, 368, 774, 1354, 597, 282, 1694, 1090, 282, 3316, 665, 274, 254, 5925, 16, 4925, 14, 603, 368, 1240, 16714, 348, 248, 22420, 37147, 14, 368, 476, 1076, 282, 3316, 772, 3315, 274, 13151, 1285, 633, 24585, 390, 17194, 1090, 16, 188, 11478, 85, 706, 8573, 995, 10632, 640, 13367, 19277, 28, 330, 2211, 2815, 282, 254, 8573, 995, 286, 5740, 939, 254, 2421, 10632, 640, 8028, 24593, 286, 11608, 436, 9359, 2662, 825, 1063, 3089, 254, 2211, 16, 188, 11478, 85, 706, 8573, 995, 3625, 5205, 28, 740, 4050, 5205, 276, 533, 368, 8943, 286, 3279, 254, 4742, 286, 25785, 274, 254, 14235, 706, 1910, 995, 276, 1321, 390, 2958, 18903, 24593, 286, 11608, 436, 9359, 2662, 825, 1063, 4917, 254, 4050, 5205, 16, 188, 23292, 3392, 7501, 28, 330, 25969, 1240, 16714, 2705, 276, 533, 368, 8117, 286, 3279, 254, 3629, 286, 4504, 274, 254, 14235, 706, 1910, 995, 276, 248, 1015, 4326, 24593, 286, 11608, 436, 9359, 2662, 825, 1063, 12055, 16714, 16, 188, 1368, 476, 13033, 3483, 274, 836, 1241, 4466, 14, 532, 368, 1339, 3316, 248, 2194, 274, 763, 819, 8227, 16, 3996, 360, 11586, 368, 282, 3316, 836, 13151, 1285, 633, 801, 763, 1090, 328, 13416, 14, 368, 774, 1354, 597, 282, 1694, 1090, 282, 513, 593, 16, 4925, 14, 603, 368, 1240, 16714, 348, 248, 41942, 14, 368, 476, 1076, 282, 3316, 772, 3315, 274, 13151, 1285, 633, 18834, 390, 8251, 802, 16, 188, 1853, 274, 374, 18, 19, 27, 14, 2421, 10632, 640, 13367, 250, 1020, 403, 2066, 282, 688, 10632, 640, 8573, 995, 3371, 276, 248, 3587, 5192, 14, 286, 2218, 587, 980, 9772, 374, 18, 20, 18, 16, 7560, 915, 254, 8105, 2622, 324, 388, 1122, 52, 2211, 2218, 16, 188, 5897, 13151, 8117, 254, 3629, 286, 3357, 274, 254, 1910, 995, 407, 27765, 615, 40017, 14, 407, 7919, 615, 5532, 713, 2181, 14, 286, 407, 47680, 254, 1887, 3418, 14, 1081, 2391, 286, 1225, 14, 533, 596, 452, 6344, 441, 282, 35794, 16, 11648, 772, 23850, 368, 587, 669, 3034, 282, 1263, 633, 1193, 5532, 668, 843 ]
[ 1, 321, 254, 2169, 274, 12376, 310, 573, 13556, 282, 321, 16, 8718, 310, 457, 619, 321, 2041, 282, 6115, 888, 713, 688, 274, 327, 785, 387, 688, 1110, 16, 188, 1253, 3849, 368, 282, 1242, 25180, 418, 24664, 6770, 33, 188, 510, 2714, 21625, 457, 555, 3563, 274, 15872, 16, 1997, 801, 314, 395, 310, 457, 619, 2748, 713, 436, 624, 276, 254, 1689, 1148, 11, 353, 369, 811, 13496, 742, 688, 10711, 14976, 841, 5938, 248, 1062, 5104, 673, 422, 286, 440, 1008, 25437, 2545, 5514, 343, 5311, 747, 310, 1848, 457, 86, 2314, 254, 4466, 561, 626, 324, 8071, 9749, 16, 310, 650, 1074, 4128, 1058, 2697, 2156, 713, 254, 769, 22908, 85, 457, 666, 2511, 324, 418, 24664, 14, 286, 835, 6705, 688, 1623, 1247, 440, 38028, 5588, 457, 13846, 17236, 16, 310, 457, 70, 1845, 7434, 35397, 286, 573, 643, 5150, 2912, 9749, 310, 16173, 12805, 14, 593, 387, 801, 310, 369, 811, 9487, 688, 274, 1093, 5150, 5737, 282, 6437, 16, 1260, 254, 2072, 555, 15872, 14, 593, 555, 254, 2714, 21625, 14960, 2514, 274, 618, 1887, 14271, 670, 801, 12352, 324, 6676, 9749, 369, 327, 3148, 369, 1143, 20705, 276, 748, 497, 2692, 16577, 1182, 2609, 16, 1838, 348, 360, 457, 307, 8010, 14, 254, 628, 668, 2328, 1789, 1045, 276, 254, 2016, 555, 1623, 1663, 282, 254, 41507, 16, 1585, 248, 624, 1922, 1245, 14, 360, 457, 251, 512, 668, 2328, 1789, 276, 13900, 16, 731, 457, 85, 417, 254, 14311, 274, 7928, 9995, 14, 532, 6597, 315, 555, 819, 248, 1887, 10711, 3015, 286, 248, 2187, 274, 2803, 348, 248, 1619, 324, 9995, 8555, 274, 642, 1789, 16, 1664, 403, 593, 1125, 4273, 2328, 8418, 9749, 324, 18204, 286, 5588, 836, 1842, 14, 310, 5316, 310, 915, 441, 348, 6597, 315, 457, 85, 7477, 282, 254, 2187, 16, 188, 1853, 254, 2072, 555, 15872, 14, 593, 555, 254, 2714, 21625, 14960, 188, 38561, 418, 24664, 6770, 314, 6897, 47, 11, 1848, 457, 86, 1242, 561, 343, 248, 2508, 2843, 14, 532, 1623, 811, 348, 272, 444, 1601, 91, 8745, 274, 34667, 6676, 458, 1243, 721, 248, 4422, 274, 2524, 841, 310, 573, 2956, 2328, 458, 1243, 721, 324, 618, 835, 12773, 3240, 418, 24664, 314, 250, 254, 8752, 17, 9900, 274, 374, 18, 19, 21, 481, 2646, 10160, 729, 561, 282, 3732, 348, 17212, 286, 2876, 1247, 8453, 14, 310, 4285, 282, 1354, 248, 24683, 387, 4832, 618, 1193, 1360, 14, 286, 353, 4315, 3364, 2151, 282, 1390, 353, 841, 618, 3240, 14, 418, 24664, 24270, 16, 4186, 254, 1242, 14, 19047, 369, 248, 5534, 628, 274, 13922, 14135, 47, 286, 1129, 628, 274, 327, 3015, 1623, 6344, 1789, 2049, 16, 839, 4255, 742, 444, 1601, 91, 282, 248, 38900, 2586, 668, 719, 2524, 841, 4832, 561, 16, 188, 7676, 457, 85, 643, 633, 5793, 17137, 38352, 33, 188, 3116, 5769, 311, 248, 24186, 17, 18856, 255, 17, 19545, 422, 1141, 255, 14, 286, 432, 254, 1062, 4917, 345, 369, 8838, 479, 513, 512, 274, 254, 1789, 310, 476, 457, 86, 513, 14, 747, 2706, 772, 15455, 286, 11490, 328, 254, 4242, 16, 750, 457, 85, 669, 9681, 9991, 282, 2150, 5532, 286, 811, 643, 618, 4440, 5793, 17137, 38352, 407, 2019, 16, 839, 669, 452, 248, 3224, 663, 2893, 328, 254, 2072, 343, 441, 348, 248, 23973, 276, 25130, 2116, 14, 7028, 14, 286, 512, 274, 327, 2072, 15, 423, 4866, 327, 310, 3155, 8611, 2631, 668, 1438, 713, 436, 16, 7823, 3224, 9988, 479, 843, 282, 3481, 3270, 7854, 670, 360, 497, 1311, 2430, 1789, 276, 1330, 38132, 274, 811, 338, 18, 11127, 390, 593, 16, 1268, 1623, 688, 274, 618, 5793, 769, 12712, 666, 555, 1663, 432, 254, 9197, 1305, 286, 21097, 274, 254, 3732, 286, 6211, 310, 457, 307, 1289, 939, 19047, 16, 2003, 3015, 1623, 6344, 479, 751, 436, 742, 254, 3112, 276, 248, 1026, 327, 4931, 457, 86, 452, 643, 1841, 1269, 729, 16, 188, 1931, 1623, 688, 274, 618, 5793, 769, 12712, 666, 555, 1663, 432, 254, 9197, 1305, 286, 21097, 274, 254, 3732, 286, 6211, 310, 457, 307, 1289, 939, 19047, 16, 188, 1253, 555, 643, 633, 5793, 5527, 276, 254, 2072, 1499, 33, 188, 43, 457, 79, 16713, 407, 618, 1963, 14, 801, 286, 30816, 16, 310, 4533, 603, 310, 476, 513, 1594, 327, 311, 33677, 2745, 1221, 286, 7526, 9996, 618, 1963, 14, 327, 457, 85, 3837, 4344, 16, 310, 457, 79, 669, 16713, 407, 254, 1815, 274, 417, 14306, 282, 2378, 563, 888, 282, 248, 2545, 327, 2427, 457, 86, 1294, 479, 390, 1545, 479, 282, 1649, 618, 22088, 282, 889, 16, 731, 457, 85, 11437, 14, 974, 618, 1668, 2545, 369, 4791, 3364, 286, 248, 2187, 274, 3400, 248, 2072, 311, 1062, 1837, 785, 14, 532, 310, 457, 79, 31921, 16, 11062, 785, 670, 5514, 343, 10711, 2269, 311, 3837, 20999, 16, 310, 457, 79, 16713, 286, 8814, 387, 254, 7970, 274, 41060, 1612, 5588, 1851, 254, 2008, 274, 615, 4701, 276, 772, 9749, 14, 286, 407, 254, 642, 942, 276, 436, 4351, 663, 403, 811, 1045, 282, 1041, 4344, 4866, 286, 452, 248, 1157, 671, 16, 839, 457, 307, 1143, 688, 8418, 3732, 276, 436, 2072, 1091, 942, 432, 642, 17236, 14, 6211, 14, 254, 942, 663, 1382, 254, 16527, 286, 913, 12048, 360, 785, 343, 16, 380, 2896, 311, 8418, 286, 1594, 310, 3409, 282, 321, 628, 274, 324, 248, 1062, 1034, 671, 16, 188, 24144, 785, 670, 5514, 343, 10711, 2269, 311, 3837, 20999, 16, 188, 13545, 3, 16474, 286, 2631, 16, 731, 650, 452, 643, 5167, 282, 1663, 713, 436, 343, 624, 274, 248, 7928, 286, 621, 27126, 9995, 3981, 14, 532, 254, 4569, 555, 643, 2630, 254, 9297, 16, 310, 5565, 310, 573, 254, 15359, 432, 254, 1242, 282, 417, 16577, 254, 1330, 867, 11935, 286, 282, 4377, 618, 11171, 14, 532, 327, 457, 85, 1663, 624, 343, 671, 16, 188, 1982, 580, 274, 633, 3732, 2980, 282, 1242, 615, 1193, 1360, 14, 748, 7338, 650, 368, 1862, 729, 33, 188, 30187, 633, 11171, 286, 4316, 327, 5147, 311, 248, 3316, 7924, 274, 671, 16, 839, 1004, 1623 ]
[ 1, 2728, 15289, 17985, 16, 21567, 369, 1665, 343, 811, 495, 16, 23, 6320, 10482, 11625, 3448, 16, 0, 23456, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 5698, 6394, 1146, 11677, 892, 3918, 555, 5968, 248, 743, 4704, 23327, 1834, 301, 304, 1472, 52, 5698, 8342, 6394, 16, 380, 338, 24, 14, 19, 18926, 521, 15700, 11677, 892, 7810, 15, 60, 52, 21, 18, 18, 23972, 1017, 3759, 9349, 13415, 343, 254, 1834, 301, 304, 10514, 20854, 1017, 15, 15077, 2382, 13359, 16, 380, 6394, 555, 248, 19896, 671, 274, 1637, 683, 248, 1250, 286, 3809, 5255, 13394, 387, 272, 7523, 274, 470, 14, 20, 24, 1250, 16, 16228, 13128, 343, 254, 6151, 1017, 3759, 6792, 10027, 14, 254, 11677, 892, 7810, 15, 60, 52, 21, 18, 18, 30051, 272, 3458, 3165, 15, 34033, 4988, 286, 248, 1017, 3759, 5255, 1108, 1153, 2346, 975, 16, 380, 6394, 5694, 5230, 7758, 1081, 1285, 1362, 671, 286, 387, 2286, 14, 6524, 282, 254, 2628, 12616, 4298, 16, 380, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 587, 2411, 2066, 276, 3918, 387, 254, 980, 274, 436, 2065, 16, 188, 510, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 47669, 248, 374, 22, 15, 21, 18, 18, 2122, 9400, 343, 338, 20, 14, 23, 90, 5583, 20646, 16, 2640, 254, 21758, 17276, 12583, 1472, 6017, 254, 5583, 20646, 476, 321, 6334, 407, 374, 90, 14, 1205, 11530, 254, 2382, 3184, 16, 380, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 311, 13128, 343, 248, 4298, 11580, 282, 4400, 5053, 254, 3338, 9349, 4298, 16, 380, 11677, 892, 7810, 15, 60, 52, 21, 18, 18, 5961, 338, 18, 1015, 9349, 9740, 1648, 347, 36028, 1482, 20646, 985, 347, 42, 4825, 4, 286, 347, 36028, 1482, 6574, 24550, 3333, 188, 686, 1596, 14, 254, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 311, 13128, 343, 272, 388, 4825, 3847, 15, 2721, 303, 1142, 14, 282, 818, 10711, 2456, 282, 633, 7753, 16, 380, 6394, 47669, 4941, 1015, 2456, 29, 20329, 6394, 14, 2519, 2683, 14, 1665, 10265, 14, 1642, 14, 33456, 570, 14, 1097, 3645, 5290, 286, 34869, 16, 380, 11677, 892, 7810, 15, 60, 52, 21, 18, 18, 669, 5961, 248, 3981, 27998, 9349, 4589, 14, 9155, 756, 2254, 276, 323, 8492, 14292, 16, 380, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 587, 2411, 2066, 276, 3918, 387, 254, 980, 274, 436, 2065, 16, 188, 23456, 892, 555, 3737, 248, 3300, 7315, 274, 254, 743, 1017, 3759, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 5698, 6394, 16, 9175, 561, 254, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 5246, 3184, 4684, 16, 380, 11677, 892, 7810, 15, 60, 52, 21, 18, 18, 3300, 7315, 476, 321, 19974, 1045, 16, 0, 6235, 3737, 276, 338, 27, 26, 27, 286, 1012, 2066, 276, 248, 16782, 286, 9580, 4024, 10872, 14, 436, 271, 700, 4411, 2496, 19088, 274, 24056, 14, 36035, 14, 286, 12096, 12570, 432, 1640, 15, 22953, 2410, 286, 9475, 12472, 388, 696, 311, 248, 20969, 274, 254, 18350, 3252, 327, 440, 3149, 512, 942, 286, 5839, 85, 274, 254, 1499, 16, 23660, 273, 432, 520, 1464, 15, 4905, 14, 32372, 30375, 5530, 274, 12096, 8670, 14, 388, 696, 34394, 10390, 561, 274, 254, 6708, 34868, 274, 32401, 324, 580, 434, 3258, 3095, 713, 248, 1026, 274, 15411, 327, 311, 1081, 4022, 286, 22425, 16, 7867, 1941, 3590, 268, 973, 14, 2869, 43974, 40583, 14, 286, 3132, 36035, 2023, 10711, 15411, 8227, 324, 254, 1842, 274, 254, 2065, 14, 254, 12059, 274, 254, 802, 14, 286, 254, 14997, 1842, 274, 1464, 16, 45910, 2075, 12096, 30375, 13988, 274, 512, 5839, 85, 452, 1102, 12472, 388, 696, 282, 321, 248, 15382, 286, 44464, 6915, 16, 188, 4, 35, 2169, 274, 1683, 4066, 1111, 927, 9113, 14, 254, 8631, 14, 286, 282, 2572, 449, 188, 4, 510, 17009, 411, 16, 42, 16, 12128, 258, 4025, 14, 684, 36, 1391, 748, 626, 311, 324, 1129, 2386, 496, 248, 671, 274, 19418, 597, 249, 35218, 286, 7026, 276, 9343, 14, 360, 872, 282, 1074, 3956, 282, 11418, 286, 321, 23250, 16, 1838, 14, 353, 311, 248, 10725, 282, 1074, 248, 1926, 327, 44562, 286, 33441, 254, 5107, 383, 2413, 274, 1910, 2705, 348, 6935, 315, 286, 26272, 16, 33662, 476, 3073, 282, 321, 621, 455, 5198, 1330, 15, 22921, 286, 1563, 15, 29819, 949, 16, 826, 1926, 14, 27477, 276, 254, 46130, 274, 1910, 2705, 14, 40328, 9083, 6814, 993, 276, 254, 2377, 274, 254, 16442, 274, 1129, 286, 9453, 945, 772, 7899, 432, 254, 16117, 995, 274, 4563, 286, 14348, 16, 31362, 398, 324, 248, 8979, 12393, 20628, 735, 304, 311, 248, 2169, 274, 1683, 4066, 1111, 927, 9113, 14, 254, 8631, 14, 286, 282, 2572, 16, 188, 4, 50, 1376, 255, 311, 254, 1464, 15, 24476, 274, 772, 12096, 4701, 16, 380, 9916, 276, 6507, 248, 5157, 3819, 274, 15411, 311, 276, 4419, 2151, 2522, 282, 1336, 441, 563, 713, 19491, 7621, 1002, 670, 360, 513, 417, 347, 37823, 4, 747, 353, 14, 1205, 4419, 254, 15400, 286, 35640, 1232, 327, 4343, 324, 254, 10711, 286, 16572, 11764, 274, 772, 33339, 1129, 16, 12472, 388, 696, 9, 1926, 311, 272, 36645, 7538, 8920, 11953, 14, 16534, 14, 286, 248, 8560, 274, 1988, 327, 360, 476, 1004, 889, 282, 545, 78, 3744, 286, 3555, 258, 772, 24056, 449, 188, 4, 35, 2169, 274, 12369, 7034, 274, 43546, 324, 772, 2289, 449, 188, 4, 50, 1376, 398, 324, 248, 8979, 12393, 20628, 735, 304, 311, 248, 2169, 274, 12369, 7034, 274, 43546, 324, 772, 2289, 16, 731, 555, 254, 5653, 274, 5194, 1232, 286, 3549, 1917, 14, 286, 310, 865, 274, 641, 509, 423, 1482, 274, 15411, 327, 311, 624, 12511, 5364, 390, 327, 3032, 348, 3258, 348, 436, 4500, 16, 26681, 14, 436, 1926, 4288, 24056, 7273, 282, 1125, 5839, 85, 14, 286, 3004, 311, 248, 32563, 30956, 274, 7040, 13387, 14, 533, 772, 1499, 24314, 315, 3095, 16, 7693 ]
[ 1, 407, 10008, 274, 254, 21603, 590, 570, 371, 265, 10204, 268, 11656, 1397, 25878, 6523, 848, 10, 21, 2192, 338, 24, 22, 15, 19, 24, 27, 16, 188, 50, 294, 20586, 14, 443, 16, 443, 896, 331, 16, 18960, 80, 15474, 14, 1145, 356, 16, 314, 20, 18, 19, 20, 481, 769, 17965, 75, 10747, 5958, 282, 28174, 2416, 45462, 276, 254, 17636, 14532, 451, 590, 570, 371, 265, 10204, 268, 11656, 274, 440, 267, 383, 40089, 7399, 1397, 500, 21382, 28370, 2147, 16, 188, 21664, 13464, 1743, 39764, 1379, 74, 363, 14, 388, 896, 323, 16, 13367, 11622, 753, 14, 1145, 356, 16, 314, 20, 18, 19, 19, 481, 769, 4657, 376, 15, 468, 570, 371, 265, 10204, 268, 11656, 2563, 2416, 45462, 274, 259, 17872, 250, 15, 35, 11748, 47641, 15, 6195, 38573, 546, 20213, 13206, 276, 6601, 4935, 7399, 1397, 500, 21209, 338, 20, 10, 20, 2192, 374, 26, 18, 15, 20, 26, 25, 16, 188, 3722, 312, 39283, 14, 354, 16, 655, 896, 443, 16, 443, 16, 39010, 14, 1145, 356, 16, 314, 20, 18, 19, 19, 481, 769, 17965, 75, 10747, 2456, 274, 26849, 35594, 2416, 45462, 713, 254, 5533, 1085, 7279, 286, 21603, 590, 570, 371, 265, 10204, 268, 11656, 274, 7399, 1397, 23350, 2147, 338, 21, 25, 19, 28, 813, 22, 15, 26, 19, 16, 188, 47, 7202, 14, 354, 16, 354, 896, 444, 16, 427, 16, 378, 8370, 773, 14, 1145, 356, 16, 314, 20, 18, 18, 27, 481, 769, 8795, 308, 21351, 15237, 274, 1307, 41163, 546, 2398, 14, 532, 417, 13387, 14, 4061, 407, 36044, 2416, 45462, 713, 254, 590, 570, 371, 265, 10204, 268, 11656, 274, 254, 2751, 1397, 23350, 2147, 338, 20, 27, 23, 28, 607, 27, 15, 24, 24, 16, 188, 50, 294, 20586, 14, 443, 16, 443, 896, 418, 16, 418, 16, 2147, 297, 294, 14, 1145, 356, 16, 314, 20, 18, 18, 27, 481, 769, 1128, 2887, 20565, 15, 2927, 1040, 274, 4402, 30091, 15921, 2416, 45462, 713, 254, 21603, 590, 570, 371, 265, 10204, 268, 11656, 274, 7399, 1397, 2253, 10656, 35716, 312, 374, 18, 10, 21, 2192, 374, 23, 20, 15, 20, 23, 27, 16, 188, 50, 294, 20586, 14, 443, 16, 443, 896, 416, 16, 401, 16, 309, 2540, 373, 14, 1145, 356, 16, 314, 20, 18, 18, 26, 481, 769, 17965, 75, 10747, 5958, 282, 4402, 30091, 15921, 2416, 45462, 276, 254, 5533, 1085, 7279, 590, 570, 371, 265, 10204, 268, 11656, 274, 440, 267, 383, 40089, 7399, 1397, 500, 21382, 28370, 2147, 848, 24, 10, 21, 2192, 813, 19, 20, 15, 25, 19, 27, 16, 188, 54, 430, 264, 12357, 14, 655, 896, 354, 16, 354, 16, 15835, 14, 1145, 356, 16, 314, 20, 18, 18, 19, 481, 769, 54, 26778, 282, 5845, 2416, 45462, 274, 36044, 713, 254, 590, 570, 371, 265, 10204, 268, 11656, 311, 2258, 343, 2462, 276, 254, 3753, 274, 742, 15, 286, 328, 15, 12743, 276, 254, 685, 1320, 268, 5533, 409, 265, 451, 1112, 25299, 274, 7399, 1397, 21209, 848, 27, 10, 20, 15, 21, 2192, 374, 21, 25, 15, 20, 22, 22, 16, 188, 53, 2053, 14, 500, 16, 388, 896, 378, 16, 388, 16, 8426, 14, 1145, 356, 16, 314, 20, 18, 18, 18, 481, 769, 24957, 45462, 274, 1104, 27071, 713, 254, 590, 570, 371, 265, 10204, 268, 11656, 2563, 20319, 682, 41679, 281, 2977, 5749, 276, 7399, 1397, 21382, 15774, 338, 19, 10, 25, 2192, 338, 22, 19, 21, 15, 19, 22, 19, 24, 16, 188, 1578, 17115, 248, 2575, 10852, 10, 75, 16, 71, 896, 1444, 254, 16107, 12302, 265, 10204, 11, 286, 16339, 2081, 434, 10381, 16, 0, 18057, 17860, 311, 1438, 282, 2730, 1081, 16853, 3170, 286, 6143, 5553, 276, 8597, 11444, 16, 10031, 254, 10183, 274, 254, 8597, 15, 7972, 15, 256, 7860, 1532, 18554, 14, 276, 5829, 4535, 274, 7742, 17860, 403, 3202, 282, 3178, 5958, 274, 6073, 286, 14429, 274, 26235, 20734, 314, 12328, 41, 11, 432, 30215, 16, 1732, 19643, 274, 19935, 314, 2932, 11, 4112, 398, 452, 643, 8158, 3608, 276, 2576, 366, 286, 20235, 638, 288, 15, 878, 375, 24118, 282, 4565, 6275, 286, 1733, 5299, 276, 38101, 2471, 3171, 2362, 2479, 14373, 16, 4772, 436, 1308, 573, 417, 2486, 643, 5597, 276, 254, 26743, 830, 8863, 274, 4022, 17860, 328, 21730, 41, 8076, 403, 3159, 282, 321, 6081, 14, 254, 7889, 274, 436, 785, 369, 282, 1056, 15015, 21147, 15965, 274, 9551, 4112, 398, 282, 25196, 248, 2772, 11120, 495, 11440, 37, 17860, 274, 254, 2471, 14, 883, 16, 71, 16, 38101, 286, 7775, 7838, 8597, 14, 274, 2537, 338, 18, 16, 23, 15, 79, 20, 14373, 276, 272, 26743, 479, 7049, 274, 10892, 19743, 16, 188, 5897, 1508, 913, 327, 254, 9551, 17860, 9713, 369, 2041, 282, 25196, 3136, 13243, 254, 2232, 558, 1168, 21, 11440, 37, 14, 7422, 17188, 441, 282, 25196, 254, 6697, 274, 254, 5511, 2858, 16, 30518, 320, 4766, 2477, 758, 17860, 532, 756, 939, 254, 32369, 24405, 274, 254, 5511, 2858, 16, 3699, 2479, 669, 5767, 327, 14, 670, 15250, 16853, 2632, 328, 254, 26743, 14, 353, 311, 1726, 282, 1242, 254, 17860, 841, 254, 27197, 311, 4095, 22907, 7865, 14, 8737, 20676, 274, 479, 7049, 6073, 15076, 254, 42221, 274, 254, 17860, 343, 19811, 274, 7838, 8597, 1129, 597, 282, 890, 16, 23, 11440, 37, 33283, 683, 19811, 274, 27197, 16, 826, 3446, 248, 3003, 274, 8597, 22665, 273, 14, 533, 1949, 5637, 8592, 18773, 274, 254, 27197, 16, 1678, 14, 276, 254, 26743, 836, 2435, 403, 2499, 7323, 348, 254, 8597, 7136, 407, 8534, 14137, 311, 2156, 5937, 407, 248, 3703, 274, 5149, 38941, 27197, 533, 40548, 254, 8597, 432, 1449, 7539, 16, 188, 9077, 6511, 5255, 17860, 476, 321, 2709, 328, 3278, 343, 9551, 2632, 276, 272, 26743, 479, 7049, 14, 532, 2772, 11120, 8592, 3163, 4279, 327, 254, 17860, 1339, 1242, 841, 38101, 13843, 16, 188, 18057, 17860, 311, 1438, 282, 2730, 16853, 3170, 11444, 16, 6499, 274, 254, 3989, 18747, 16853, 4661, 276, 254, 1499, 587, 321, 17606, 26902, 14, 343, 14, 324, 1610, 14, 272, 3159, 4766, 4988, 274, 374, 7 ]
[ 1, 9077, 2658, 628, 274, 254, 17324, 1361, 669, 15336, 19374, 21410, 33492, 39754, 14, 9679, 11500, 6041, 286, 5687, 434, 9652, 25819, 14, 28678, 955, 555, 911, 2325, 6214, 841, 248, 332, 484, 423, 527, 374, 18, 19, 26, 286, 311, 4250, 254, 1708, 16571, 5834, 348, 963, 348, 473, 11060, 27189, 1318, 16, 188, 3269, 495, 27, 13638, 432, 374, 20, 20, 25623, 2433, 14, 28678, 955, 311, 1250, 756, 282, 9539, 47850, 32156, 250, 309, 423, 336, 18424, 428, 663, 11374, 576, 27, 432, 576, 24, 21, 428, 276, 254, 607, 18, 15, 1171, 5174, 22041, 9, 1581, 16, 188, 53, 605, 34894, 4451, 434, 3326, 42087, 6870, 2861, 67, 500, 12111, 1022, 1704, 821, 20388, 843, 28678, 955, 15290, 254, 3360, 274, 4144, 254, 2214, 274, 248, 24333, 15, 32922, 5510, 274, 338, 16, 21, 6320, 16, 188, 4, 1212, 8669, 597, 343, 32156, 250, 663, 573, 282, 4780, 2705, 254, 1057, 2115, 16, 1223, 324, 254, 1689, 5808, 14, 353, 434, 3061, 328, 6517, 256, 434, 13204, 3150, 500, 12111, 1022, 1704, 749, 16, 0, 3269, 580, 274, 441, 6607, 310, 297, 5029, 1683, 14, 360, 457, 307, 643, 13109, 2151, 282, 8117, 254, 2560, 2710, 15, 13450, 2104, 2292, 276, 248, 9394, 2094, 671, 16, 826, 5603, 310, 715, 7028, 328, 3089, 8555, 274, 7758, 282, 3768, 16, 15808, 14, 1045, 403, 248, 1603, 7020, 328, 254, 15476, 286, 3551, 360, 2314, 3435, 888, 282, 16, 188, 36, 1064, 311, 580, 274, 1093, 33385, 13229, 3828, 17903, 963, 4269, 248, 3408, 603, 417, 248, 16246, 3191, 16, 2953, 18986, 9931, 21158, 343, 338, 22, 394, 286, 338, 23, 394, 5174, 9648, 5288, 276, 248, 8861, 1444, 254, 13229, 14, 5983, 272, 2845, 68, 507, 69, 2189, 274, 45347, 10481, 16, 5431, 22453, 403, 254, 18764, 39284, 14, 16527, 286, 247, 10921, 2157, 327, 1862, 254, 3748, 248, 19029, 14, 14235, 91, 43873, 16, 188, 11252, 338, 23, 10488, 31085, 274, 416, 727, 26557, 286, 387, 272, 27075, 274, 338, 22, 18, 279, 14, 378, 1064, 2701, 272, 3364, 1362, 7213, 286, 248, 30130, 2654, 432, 254, 8624, 16, 8873, 14, 353, 434, 756, 848, 10488, 1919, 432, 254, 8624, 286, 254, 2004, 530, 331, 708, 28725, 16, 188, 686, 10966, 5020, 368, 587, 1074, 254, 6685, 310, 297, 5487, 12660, 428, 18487, 37345, 286, 17460, 7549, 1595, 512, 21158, 597, 2049, 289, 9105, 13558, 327, 6350, 1394, 282, 248, 3223, 1723, 16, 188, 1516, 9791, 3748, 5961, 248, 5723, 6296, 282, 30603, 663, 650, 747, 563, 888, 276, 671, 14, 1093, 328, 254, 997, 483, 324, 254, 1689, 1887, 42829, 8670, 14, 348, 963, 348, 3629, 39877, 286, 40447, 14, 9892, 274, 254, 671, 274, 802, 16, 188, 34342, 11318, 276, 254, 20872, 274, 8716, 367, 3507, 14, 311, 254, 2176, 274, 15575, 324, 254, 378, 22429, 19662, 18172, 1091, 254, 3746, 1035, 778, 327, 1091, 343, 695, 28725, 14, 20541, 18024, 14, 1773, 6170, 1908, 258, 3247, 14, 14696, 2049, 254, 5980, 14, 311, 254, 3834, 1619, 324, 1515, 286, 36061, 16, 188, 29164, 8887, 3126, 311, 748, 368, 457, 70, 8340, 248, 1330, 14714, 3748, 282, 321, 428, 13736, 7669, 383, 276, 254, 22050, 830, 368, 476, 4126, 6667, 274, 254, 14714, 19179, 16, 3730, 353, 457, 85, 4269, 248, 7213, 282, 254, 14714, 15621, 286, 6592, 2703, 14, 4126, 254, 1806, 274, 378, 22429, 19662, 432, 254, 9138, 25738, 504, 1908, 258, 792, 14, 390, 18753, 328, 254, 34762, 274, 580, 274, 254, 1125, 14696, 16, 188, 1934, 9165, 1922, 1416, 14, 4010, 254, 24212, 5935, 274, 13205, 16, 17570, 6504, 286, 11969, 753, 286, 254, 8149, 42423, 5935, 274, 3699, 12339, 274, 8131, 22081, 294, 16, 188, 21285, 327, 1431, 561, 276, 254, 24212, 5935, 403, 347, 510, 9598, 5853, 255, 4, 15814, 276, 338, 23, 27, 26, 407, 1472, 264, 9616, 23024, 5486, 286, 254, 37232, 28290, 339, 887, 432, 254, 338, 24, 394, 5174, 16, 6064, 1514, 274, 32925, 1884, 266, 432, 254, 338, 23, 394, 5174, 286, 254, 23196, 274, 254, 13555, 8019, 432, 254, 338, 22, 394, 5174, 519, 1539, 254, 5935, 274, 3699, 12339, 274, 8131, 22081, 294, 16, 188, 37179, 8887, 80, 17057, 311, 1873, 348, 254, 769, 10418, 274, 10563, 666, 286, 311, 272, 7250, 11768, 324, 580, 15, 1183, 35972, 620, 6715, 343, 1416, 14, 39284, 286, 33598, 16, 731, 311, 4301, 276, 254, 289, 2313, 1348, 276, 310, 10697, 457, 85, 8705, 14, 2734, 2568, 1275, 305, 3990, 286, 10451, 305, 4470, 14, 756, 338, 23, 37550, 1919, 432, 254, 5980, 16, 188, 37179, 8887, 80, 17057, 311, 248, 23427, 3748, 3569, 3132, 10481, 311, 963, 6432, 343, 695, 1668, 7885, 14, 44933, 14, 18241, 286, 40020, 16, 13654, 26569, 17057, 3285, 254, 3748, 274, 10563, 276, 338, 27, 23, 24, 16, 2003, 311, 670, 10563, 2956, 282, 39987, 6153, 9648, 533, 254, 8583, 497, 6548, 282, 9238, 286, 2926, 1143, 2056, 254, 3748, 852, 417, 590, 759, 16, 10770, 615, 15777, 286, 5532, 1041, 436, 3748, 580, 274, 254, 944, 37753, 30539, 324, 272, 11030, 14, 31031, 286, 10711, 12957, 16, 13654, 8887, 80, 17057, 311, 18298, 343, 272, 9306, 3931, 276, 695, 1640, 3177, 1091, 22088, 328, 254, 6136, 16, 3201, 14, 25785, 286, 2636, 274, 4489, 10563, 403, 2828, 276, 254, 8577, 9931, 5157, 286, 368, 476, 6761, 671, 343, 254, 10563, 276, 615, 39284, 16, 3497, 282, 272, 35972, 280, 282, 13654, 8887, 80, 17057, 286, 2705, 310, 297, 5029, 276, 248, 1015, 1026, 3, 188, 38757, 311, 1873, 348, 254, 7794, 3748, 276, 254, 1499, 14, 533, 311, 2075, 353, 311, 580, 274, 254, 944, 12638, 310, 297, 5487, 30539, 16, 188, 38757, 311, 4301, 2734, 8513, 6903, 14, 3555, 276, 254, 289, 2313, 1348, 274, 254, 310, 297, 5487, 41130, 16, 1993, 763, 15476, 403, 4652, 343, 248, 5866, 2803, 286, 4326, 14, 286, 1012, 343, 254, 3921, 357, 312, 17040, 1201, 2139, 16, 380, 2104, 1444, 16301, 311, 3233, 12638, 282, 3629, 26074, 16, 595, 777, 20689, 14, 479, 15601, 286, 19040, 403, 37753, 324, 1034, 16306, 286, 2094, 1963, 35972, 620, 16, 9127, 282, 254, 17804, 274 ]
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
[ 1, 273, 276, 48179, 14, 19114, 16, 839, 2023, 368, 343, 254, 1062, 1640, 3184, 1205, 1311, 8838, 368, 5166, 2501, 16, 3699, 35554, 311, 282, 11882, 327, 368, 15820, 254, 977, 4605, 286, 248, 2133, 327, 6382, 597, 4619, 254, 1090, 16, 839, 476, 513, 327, 407, 4782, 368, 254, 1708, 14451, 1514, 2066, 286, 17309, 4236, 91, 16049, 16, 22303, 633, 671, 286, 8688, 407, 3256, 6607, 8646, 291, 10046, 273, 3157, 654, 2966, 16, 1395, 1782, 321, 2041, 282, 13417, 343, 772, 2214, 407, 11580, 273, 848, 26, 26, 15, 22, 18, 25, 15, 18, 24, 24, 24, 282, 1242, 561, 16, 188, 1368, 933, 321, 35877, 670, 353, 3144, 282, 8646, 291, 10046, 273, 276, 48179, 14, 19114, 16, 1395, 9828, 625, 563, 713, 353, 1269, 7966, 14, 286, 368, 872, 282, 2941, 748, 282, 10077, 324, 16, 826, 311, 2075, 360, 1574, 282, 1041, 1033, 3324, 282, 5256, 368, 403, 7413, 343, 254, 2035, 286, 6231, 625, 24561, 407, 665, 36271, 16, 380, 801, 3109, 311, 282, 1862, 441, 248, 1052, 407, 11580, 273, 848, 26, 26, 15, 22, 18, 25, 15, 18, 24, 24, 24, 282, 22516, 633, 2133, 16, 839, 587, 2241, 668, 633, 3418, 286, 7155, 348, 3402, 348, 368, 1862, 441, 248, 1052, 286, 751, 368, 10628, 343, 272, 13897, 16, 839, 1845, 12317, 387, 254, 10628, 4813, 14, 512, 867, 282, 785, 2292, 343, 368, 16, 188, 2943, 368, 403, 41346, 248, 1213, 324, 8646, 291, 10046, 273, 276, 48179, 14, 19114, 14, 626, 403, 2006, 4462, 282, 4370, 8646, 291, 10046, 273, 3157, 654, 16, 839, 587, 321, 254, 1640, 4360, 10510, 368, 872, 254, 944, 12557, 2501, 13492, 4466, 14, 254, 1640, 3184, 3462, 14, 286, 254, 6287, 2210, 274, 7528, 1305, 16, 839, 587, 321, 2066, 282, 5587, 368, 343, 254, 6287, 2705, 286, 6750, 276, 254, 1631, 16, 9120, 848, 26, 26, 15, 22, 18, 25, 15, 18, 24, 24, 24, 603, 368, 872, 8646, 291, 10046, 273, 276, 48179, 14, 286, 360, 1782, 785, 2292, 343, 368, 282, 6311, 315, 8195, 254, 2133, 16, 0, 1516, 3998, 14, 310, 2865, 272, 4436, 24323, 432, 618, 3224, 14, 254, 3686, 15, 7989, 15, 3014, 15, 11234, 15, 483, 15, 5195, 15273, 1232, 14, 12232, 466, 15911, 3574, 251, 3548, 16, 6788, 593, 1125, 942, 310, 865, 14, 701, 3809, 512, 9104, 274, 458, 1774, 713, 7011, 12433, 16, 1469, 6209, 2645, 479, 282, 513, 254, 1057, 16, 380, 9748, 369, 17695, 254, 6153, 8247, 276, 772, 4701, 286, 17487, 748, 587, 563, 713, 729, 16, 330, 2508, 286, 3944, 3065, 4310, 369, 254, 18027, 1110, 16, 310, 1141, 668, 843, 1125, 2008, 310, 452, 2980, 282, 7325, 597, 7280, 1544, 353, 369, 1480, 36677, 282, 8340, 2631, 1232, 16, 188, 36162, 14, 8069, 14, 25003, 14, 9582, 273, 14, 21196, 14, 14425, 14, 13922, 14, 9790, 2093, 14, 8136, 30610, 324, 2764, 3284, 286, 6319, 2778, 395, 327, 457, 85, 811, 276, 254, 5537, 19352, 16, 188, 31032, 561, 387, 254, 16919, 14, 671, 343, 1963, 286, 3732, 14, 5802, 324, 790, 14, 3629, 1165, 3149, 14, 4149, 14, 2342, 22755, 14, 12352, 14, 9787, 14463, 2778, 43, 457, 79, 2056, 626, 457, 85, 1594, 310, 457, 79, 5651, 16, 188, 2943, 11068, 343, 1629, 73, 671, 14, 276, 254, 2391, 14, 310, 452, 3096, 13666, 1544, 353, 5326, 3435, 2377, 282, 2377, 343, 19068, 37823, 721, 3, 21327, 1232, 14, 12351, 14, 39011, 16, 310, 452, 4405, 10233, 286, 7500, 343, 729, 324, 1090, 14, 4536, 327, 310, 807, 3570, 729, 22823, 564, 75, 599, 16, 731, 457, 85, 747, 254, 1612, 5607, 663, 10831, 701, 311, 20015, 974, 701, 311, 3480, 734, 265, 11515, 248, 30768, 22354, 16, 1286, 310, 476, 457, 86, 915, 368, 14, 368, 476, 457, 86, 915, 479, 16, 188, 46, 1490, 14, 310, 452, 643, 624, 7183, 282, 3437, 2244, 324, 748, 310, 961, 282, 4750, 16, 7934, 1821, 2245, 1444, 286, 1525, 479, 16, 444, 4088, 3081, 561, 16, 309, 6192, 286, 21873, 16, 188, 1516, 2391, 2065, 14, 310, 369, 276, 254, 3252, 274, 254, 2169, 274, 20781, 20094, 2314, 327, 26154, 618, 14542, 282, 2120, 328, 282, 1668, 5957, 286, 1827, 43783, 2883, 5957, 16, 1395, 865, 843, 670, 368, 2443, 272, 20909, 282, 254, 20724, 14, 353, 26104, 276, 4395, 402, 20119, 3956, 33, 310, 573, 5094, 561, 747, 248, 14714, 1360, 14, 254, 8106, 282, 751, 618, 785, 561, 626, 276, 254, 1499, 286, 452, 2996, 348, 254, 5288, 11515, 618, 15484, 14, 348, 310, 573, 2152, 324, 2489, 324, 1125, 1090, 16, 310, 573, 643, 276, 8756, 597, 249, 35218, 1544, 1364, 2871, 286, 369, 4558, 324, 2135, 14621, 282, 2738, 16, 1223, 5176, 596, 852, 14, 43177, 276, 3629, 16, 330, 2169, 433, 5799, 432, 254, 642, 1874, 274, 254, 2504, 314, 11371, 1348, 14, 15001, 11, 4774, 561, 286, 1464, 311, 3382, 14662, 406, 1562, 4251, 16, 6098, 12129, 479, 282, 4010, 14, 3191, 276, 520, 1683, 14, 2445, 520, 21505, 274, 3732, 286, 1963, 14, 314, 3414, 2818, 1694, 458, 13603, 11510, 609, 11348, 1083, 581, 3856, 387, 25295, 18197, 314, 8473, 26884, 23982, 324, 15350, 14, 501, 446, 20094, 343, 12068, 14, 6950, 14, 9034, 286, 41964, 447, 11, 286, 6344, 22516, 324, 479, 282, 9537, 387, 1427, 31948, 15660, 16, 1997, 801, 14, 310, 1815, 2778, 1397, 1253, 254, 35225, 715, 310, 2430, 7518, 3805, 254, 2710, 2889, 276, 374, 18, 19, 22, 14, 310, 452, 643, 3089, 512, 9104, 274, 458, 1774, 713, 248, 743, 1464, 16, 826, 3428, 747, 580, 274, 729, 16, 9673, 32754, 7155, 38023, 407, 248, 1603, 942, 14, 310, 3428, 8869, 4848, 16, 6098, 286, 310, 452, 12407, 282, 865, 1004, 642, 1034, 4047, 14, 348, 310, 452, 643, 14425, 520, 1250, 1926, 18338, 309, 6299, 254, 740, 1048, 21683, 16, 2936, 801, 14, 1869, 380, 4347, 274, 25295, 3420, 441, 22533, 479, 713, 520, 1499, 327, 311, 6715, 343, 12096, 1419, 1357, 16, 2028, 310, 867, 3071, 276, 520, 1683, 248, 1612, 624, 683, 248, 2065, 3502, 14, 310, 20519, 327, 345, 16306, 254, 2241 ]
[ 1, 328, 52, 1021, 51, 609, 13076, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 38093, 1279, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 11916, 23401, 28235, 102, 46988, 11573, 98, 25392, 18215, 101, 31311, 647, 3203, 426, 655, 86, 33777, 3129, 1067, 647, 3203, 16, 14928, 1089, 2327, 426, 1827, 16, 14928, 1089, 2327, 2621, 3203, 16, 24523, 426, 931, 4862, 38093, 1279, 1787, 5868, 647, 3203, 16, 34418, 426, 6259, 6471, 52, 27719, 61, 2137, 4862, 47268, 1787, 5868, 63, 647, 3203, 16, 19686, 28026, 426, 3203, 16, 24523, 1800, 9, 2386, 16, 13575, 8622, 20362, 16, 24523, 14, 3203, 16, 34418, 3185, 647, 3203, 16, 1554, 426, 931, 4862, 38093, 1279, 2327, 35296, 28339, 2012, 6735, 45, 3291, 2621, 1800, 210, 23401, 28235, 102, 15101, 39377, 647, 3203, 16, 3176, 426, 931, 4862, 27949, 28413, 5868, 647, 3203, 16, 18655, 42490, 426, 931, 4862, 20695, 42490, 5868, 647, 3203, 16, 297, 23324, 20695, 426, 931, 4862, 988, 23324, 20695, 5868, 647, 3203, 16, 4384, 2851, 28026, 426, 931, 4862, 11434, 2851, 38093, 1787, 5868, 2621, 3203, 16, 7312, 4796, 426, 1830, 4796, 6471, 52, 27719, 16, 784, 10, 2137, 4862, 13076, 4796, 15993, 4509, 46053, 65, 3908, 45662, 11, 2621, 1800, 210, 32917, 12327, 215, 34169, 33108, 647, 603, 931, 4862, 10692, 2466, 5868, 2224, 684, 19, 5141, 926, 3203, 16, 7665, 2466, 426, 36263, 2372, 65, 23654, 647, 27985, 931, 4862, 10692, 2466, 5868, 2224, 684, 20, 5141, 926, 3203, 16, 7665, 2466, 426, 36263, 2372, 65, 15698, 2621, 1800, 210, 36235, 231, 31738, 28399, 41020, 20810, 48031, 8613, 231, 24449, 5071, 12027, 111, 10395, 216, 38929, 42373, 647, 1827, 16, 24523, 47268, 37126, 61, 20362, 16, 24523, 63, 426, 3203, 16, 34418, 647, 1827, 16, 24523, 5336, 37126, 61, 20362, 16, 24523, 63, 426, 3203, 16, 3176, 2621, 1800, 210, 17100, 104, 10731, 213, 647, 1827, 16, 14928, 1089, 16, 252, 33777, 10, 20362, 11, 2621, 603, 1364, 28, 926, 1827, 16, 6171, 6618, 10, 1139, 16, 30417, 11329, 65, 16546, 65, 1796, 4199, 3147, 1661, 11, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 33447, 43782, 3129, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 53, 3473, 1314, 5904, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 33546, 16357, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 29307, 264, 13507, 28549, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 29844, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 53, 3473, 1314, 5904, 46583, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 29307, 264, 13507, 25308, 460, 28549, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 7191, 8417, 1607, 4470, 273, 17577, 4664, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 36509, 33783, 13363, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 29307, 264, 13076, 6811, 47, 4180, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 47268, 47, 4180, 25112, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 47268, 47, 4180, 25112, 36825, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 47268, 25112, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 4397, 27204, 1878, 1787, 6471, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 13076, 1630, 349, 25112, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 13076, 6811, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 16486, 38093, 2219, 792, 25131, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 16486, 38093, 24759, 25112, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 12216, 13542, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 2148, 32478, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 32478, 10, 1262, 14, 931, 14, 2160, 14, 296, 14 ]
[ 1, 16, 3826, 14, 513, 417, 7537, 327, 626, 403, 942, 274, 2572, 663, 403, 417, 8326, 432, 254, 1096, 2047, 2836, 429, 1091, 830, 5979, 315, 8560, 286, 10481, 311, 254, 6684, 286, 417, 254, 587, 274, 254, 6032, 16, 5932, 942, 403, 276, 7395, 343, 2572, 14, 254, 17928, 274, 2740, 14, 286, 615, 1963, 16, 380, 1096, 2047, 2482, 2468, 4356, 2572, 16, 188, 26313, 12418, 39410, 14, 7217, 31452, 2688, 7217, 418, 9524, 9032, 1029, 21360, 367, 26376, 14, 418, 6721, 1374, 34309, 3376, 3147, 37649, 282, 633, 4507, 16, 2572, 587, 10120, 633, 2314, 286, 1633, 324, 729, 16, 1664, 403, 1125, 1770, 286, 2185, 2966, 663, 14, 2731, 888, 14, 587, 1309, 282, 3622, 314, 634, 11448, 282, 1093, 663, 872, 282, 3957, 581, 769, 1982, 310, 573, 756, 17516, 282, 327, 2796, 390, 9582, 14, 310, 650, 417, 321, 276, 436, 4689, 2966, 1397, 3683, 403, 2041, 282, 1862, 254, 25613, 3979, 282, 7467, 14, 286, 452, 14683, 2443, 6418, 2936, 2314, 286, 8746, 597, 615, 19372, 14, 12895, 254, 7869, 286, 8256, 353, 282, 2490, 276, 2936, 2314, 16, 188, 20176, 267, 28520, 13782, 942, 14, 974, 345, 4699, 417, 811, 254, 763, 14, 532, 4395, 254, 2086, 282, 513, 520, 10050, 35313, 16, 5066, 14, 670, 580, 311, 7221, 282, 272, 30429, 333, 14, 819, 248, 580, 555, 14444, 286, 3133, 14, 3082, 274, 4609, 286, 1336, 276, 254, 14161, 282, 3217, 597, 248, 1963, 276, 254, 4563, 274, 254, 6032, 16, 11166, 14, 4395, 14, 276, 2572, 457, 85, 22909, 14, 254, 21082, 21465, 7626, 4765, 254, 5580, 29493, 274, 254, 30429, 1357, 16, 188, 35, 19624, 15374, 713, 254, 7668, 512, 254, 1789, 327, 6740, 404, 282, 436, 1464, 29, 248, 1026, 274, 1464, 282, 533, 345, 390, 701, 311, 29700, 314, 779, 13421, 274, 254, 2575, 432, 533, 345, 390, 701, 3144, 481, 1395, 4143, 2075, 345, 17, 6512, 2468, 915, 14, 2903, 390, 11129, 254, 1789, 274, 2572, 29, 641, 14, 314, 263, 311, 11, 974, 345, 17, 6512, 311, 248, 19624, 14, 286, 1339, 11308, 254, 4932, 348, 603, 353, 497, 272, 8819, 16, 188, 1031, 1206, 324, 2966, 28, 8474, 12418, 39410, 14, 7217, 31452, 2688, 7217, 418, 9524, 9032, 1029, 21360, 367, 26376, 14, 418, 6721, 1374, 34309, 3376, 3147, 37649, 282, 633, 4507, 16, 2572, 587, 10120, 633, 2314, 286, 1633, 324, 729, 16, 0, 4816, 1395, 1782, 2314, 610, 613, 6030, 40187, 276, 378, 8218, 602, 3, 188, 36, 8218, 602, 311, 580, 274, 254, 13605, 9174, 18272, 15168, 314, 2816, 24800, 14, 378, 8218, 602, 14, 11267, 318, 8277, 11, 18172, 14, 811, 274, 254, 8624, 274, 11135, 26662, 16, 378, 8218, 602, 14, 555, 1034, 643, 8307, 324, 658, 24800, 31852, 22469, 286, 5288, 9696, 40187, 16, 1678, 436, 311, 669, 272, 8418, 610, 3149, 322, 72, 4189, 14, 2328, 324, 248, 3834, 4331, 1773, 8766, 12957, 16, 188, 2432, 403, 641, 43754, 3468, 328, 254, 465, 3149, 322, 72, 11287, 593, 248, 465, 3149, 322, 72, 12957, 282, 378, 8218, 602, 3144, 343, 248, 1096, 324, 254, 338, 18, 282, 374, 18, 6830, 4306, 432, 633, 6596, 378, 8218, 602, 8388, 16, 188, 22376, 293, 610, 3149, 322, 72, 4570, 18782, 476, 22516, 20199, 432, 1996, 254, 5427, 2969, 25757, 390, 432, 1495, 642, 5060, 13571, 348, 2347, 16, 188, 510, 5288, 276, 378, 8218, 602, 311, 9394, 1157, 512, 802, 532, 254, 4442, 5288, 2114, 24038, 555, 643, 432, 4109, 282, 2470, 29, 254, 8612, 5288, 2858, 311, 4297, 1209, 4452, 16, 188, 510, 26346, 5288, 3758, 387, 254, 465, 3149, 322, 40187, 11287, 311, 2743, 742, 16373, 532, 626, 311, 1157, 9478, 5098, 3709, 593, 436, 311, 248, 1062, 4848, 286, 3364, 1619, 282, 465, 3149, 322, 72, 16, 1678, 14, 1899, 282, 254, 2743, 742, 16373, 5288, 353, 311, 417, 7250, 324, 1909, 733, 663, 403, 417, 2486, 12864, 276, 9703, 597, 5288, 286, 513, 417, 961, 15440, 16, 188, 29234, 20399, 607, 18, 7, 274, 254, 7760, 12587, 282, 378, 8218, 602, 403, 8171, 407, 254, 658, 24800, 31852, 532, 626, 403, 669, 1125, 30038, 324, 254, 1303, 15, 70, 1528, 16, 330, 1162, 274, 4566, 403, 2066, 14, 432, 31855, 286, 7970, 29464, 276, 254, 14375, 4890, 15, 10336, 357, 5664, 2213, 3206, 4762, 387, 254, 5976, 15, 17766, 980, 274, 254, 8700, 14, 282, 12352, 14, 3677, 1049, 8627, 286, 12275, 7290, 16, 188, 36, 8218, 602, 311, 3713, 248, 1062, 684, 36283, 888, 9, 17431, 286, 593, 626, 311, 641, 2135, 2286, 7989, 16, 1664, 403, 688, 5167, 14696, 14, 248, 4422, 274, 1157, 8735, 532, 641, 2286, 498, 24167, 16, 4801, 721, 403, 1640, 5108, 687, 248, 1157, 11176, 286, 248, 1603, 16727, 16, 188, 1853, 343, 512, 274, 772, 30539, 360, 452, 5108, 10387, 671, 286, 3324, 15587, 273, 254, 2066, 20794, 286, 642, 43754, 276, 378, 8218, 602, 593, 327, 360, 403, 2041, 282, 5419, 254, 1640, 4466, 16, 188, 686, 378, 8218, 602, 360, 476, 3831, 2626, 432, 607, 12, 11287, 46574, 747, 254, 378, 8218, 602, 3844, 7195, 19596, 939, 254, 624, 9823, 888, 24226, 3616, 747, 378, 34576, 378, 8722, 16, 1822, 254, 20794, 403, 869, 338, 18, 286, 374, 23, 2819, 4306, 282, 254, 465, 3149, 322, 72, 286, 5288, 9696, 72, 11287, 593, 360, 587, 2408, 248, 1096, 276, 633, 12957, 14036, 16, 188, 1212, 11473, 387, 378, 8218, 602, 378, 483, 2200, 14074, 324, 248, 8621, 286, 353, 369, 14724, 16, 8513, 267, 254, 3064, 311, 248, 1062, 32177, 1408, 286, 254, 27579, 403, 3834, 16, 23594, 286, 3148, 368, 872, 311, 626, 16, 5328, 596, 452, 254, 5793, 5631, 23688, 310, 452, 2378, 2254, 3, 45096, 3, 839, 587, 7754, 1663, 888, 3, 0, 13056, 470, 3812, 15351, 4117, 21618, 1491, 8085, 31782, 343, 15351, 4117, 21618, 1491, 8085, 9725, 14, 7901, 14, 5525, 28482, 16436, 8712, 706, 8841, 324, 7096, 328, 4028, 338, 27, 14, 374, 18, 19, 27, 16, 19157, 3812, 3487, 3278, 4236, 370, 4442, 370, 18, 16, 18, 18, 16, 14922, 3395, 2408, 5541, 2643, 8841, 14, 4453, 2643, 41504, 14, 27340 ]
[ 1, 274, 436, 17336, 12488, 2094, 42182, 3027, 823, 21948, 587, 25862, 324, 368, 16, 731, 587, 321, 248, 10986, 282, 1336, 368, 751, 12745, 16534, 324, 17336, 12488, 2094, 42182, 3027, 823, 21948, 954, 0, 15, 330, 42146, 460, 274, 15418, 2301, 87, 16, 188, 9334, 254, 15621, 457, 85, 2272, 792, 311, 13562, 343, 695, 4785, 3417, 406, 14013, 474, 10066, 16, 1395, 457, 619, 3109, 713, 254, 15621, 286, 713, 248, 19992, 1918, 2835, 274, 607, 14, 18, 18, 18, 1090, 274, 21747, 2803, 16, 9776, 26000, 12299, 403, 3233, 17979, 14, 29188, 4960, 432, 2006, 810, 48189, 85, 9, 7083, 1720, 16, 1993, 2408, 23398, 432, 254, 32440, 4235, 274, 48010, 1147, 3836, 329, 14, 388, 1781, 249, 789, 308, 286, 2955, 258, 2605, 262, 3595, 16, 12033, 633, 2072, 956, 12968, 282, 35667, 1862, 368, 580, 1362, 390, 763, 3498, 276, 254, 2758, 14, 1041, 2056, 633, 7213, 3672, 248, 4010, 282, 254, 15621, 16, 188, 2943, 633, 2072, 956, 12968, 21754, 368, 1919, 282, 35667, 14, 580, 274, 633, 801, 35972, 620, 933, 321, 282, 331, 35617, 35667, 16, 380, 8892, 9931, 286, 8952, 274, 8707, 35667, 403, 984, 11415, 14, 286, 254, 8927, 457, 85, 5935, 311, 695, 1684, 9960, 16, 1201, 15, 14734, 17992, 30428, 14, 390, 254, 388, 5446, 6240, 14, 369, 4131, 1788, 254, 27492, 274, 272, 8892, 8149, 39682, 343, 695, 296, 1106, 13731, 16, 1180, 436, 1865, 14, 353, 311, 669, 4395, 6117, 282, 348, 254, 11694, 82, 1783, 6240, 16, 188, 15, 380, 32831, 457, 85, 14328, 3292, 32925, 1884, 274, 254, 16833, 2279, 16, 188, 6128, 348, 633, 2072, 956, 12968, 4319, 368, 282, 4829, 35667, 14, 248, 4010, 282, 12919, 35667, 806, 3991, 368, 282, 254, 2758, 457, 85, 2953, 18986, 21241, 16, 18235, 456, 276, 254, 2710, 274, 35667, 14, 254, 8892, 12919, 2511, 311, 2057, 274, 22223, 20001, 304, 302, 4235, 16, 1997, 254, 10892, 980, 274, 254, 1668, 2758, 7885, 311, 254, 12850, 356, 15, 40, 308, 6781, 7199, 14, 272, 22529, 2522, 343, 763, 26779, 286, 9567, 274, 2803, 16, 188, 15, 1201, 15, 42, 518, 304, 18985, 1422, 16, 9942, 282, 254, 12850, 356, 15, 40, 308, 6781, 7199, 14, 436, 36516, 311, 580, 274, 254, 2758, 457, 85, 6081, 4131, 1285, 254, 20001, 304, 302, 8458, 276, 890, 27, 18, 331, 16, 39, 16, 188, 15, 1201, 15, 21664, 9183, 18985, 1422, 16, 2514, 274, 254, 2758, 457, 85, 16693, 14624, 10715, 14, 1201, 15, 21664, 9183, 311, 669, 628, 274, 254, 16693, 286, 5793, 12919, 9574, 276, 254, 1499, 16, 188, 15, 310, 15026, 32820, 329, 18985, 1422, 16, 40260, 276, 254, 890, 394, 5174, 14, 32820, 329, 555, 254, 16693, 1039, 9413, 276, 254, 2504, 286, 248, 3616, 327, 19405, 432, 254, 5732, 21747, 36516, 16, 188, 510, 15963, 11087, 311, 254, 2104, 457, 85, 944, 8307, 22494, 2586, 16, 731, 457, 85, 1683, 282, 34886, 13963, 18985, 1422, 14, 248, 5081, 274, 5732, 15777, 286, 2006, 32775, 16, 188, 4412, 368, 457, 307, 33829, 4684, 276, 35667, 457, 85, 6611, 2803, 14, 353, 457, 85, 5167, 282, 45716, 276, 248, 1603, 4829, 37940, 16, 2514, 274, 254, 1640, 4902, 282, 4126, 836, 1615, 15, 1183, 25679, 311, 328, 2997, 92, 8211, 8228, 276, 254, 4617, 274, 254, 41394, 6934, 16, 380, 8700, 5961, 6939, 17058, 286, 14209, 276, 254, 48011, 1064, 77, 3180, 286, 2006, 4149, 255, 3396, 13596, 16, 2514, 274, 254, 944, 4489, 4235, 282, 4010, 276, 2997, 92, 8211, 311, 35667, 20002, 16, 380, 15041, 3290, 13300, 6667, 274, 254, 2758, 14, 286, 368, 476, 2156, 915, 348, 2019, 348, 254, 25018, 2280, 432, 695, 26631, 16, 188, 15, 779, 41394, 45733, 25707, 6044, 16, 0, 44492, 311, 254, 1964, 2683, 274, 772, 2072, 16, 1678, 14, 360, 2314, 282, 10170, 3487, 670, 596, 403, 6140, 16, 188, 1212, 476, 2706, 495, 24, 18, 4110, 7306, 4741, 20313, 324, 1125, 642, 9094, 286, 3095, 16, 6100, 368, 272, 10473, 16565, 286, 2353, 3184, 14, 28382, 286, 11967, 3310, 282, 913, 2365, 6211, 328, 633, 22421, 33, 10948, 368, 403, 248, 8388, 1297, 286, 650, 747, 633, 23167, 2200, 8388, 282, 1431, 561, 432, 254, 9287, 33, 188, 1212, 476, 2706, 248, 4311, 5509, 282, 818, 4325, 37847, 2715, 286, 6179, 633, 2072, 4325, 4408, 16, 188, 1212, 476, 4565, 3184, 1311, 20313, 14, 495, 24, 18, 362, 84, 20313, 14, 3379, 3170, 14, 10188, 6315, 286, 4282, 2150, 282, 5256, 633, 2072, 286, 6319, 997, 254, 1640, 3, 0, 7176, 3523, 302, 1948, 36759, 6454, 311, 9887, 324, 1395, 33, 188, 18775, 15, 468, 15, 9481, 11762, 390, 367, 4926, 311, 4936, 11762, 14, 533, 311, 417, 1707, 328, 33667, 14, 532, 328, 30189, 16, 826, 555, 254, 5585, 324, 254, 7121, 8902, 327, 756, 4665, 403, 22403, 670, 2602, 248, 2525, 2181, 369, 16664, 14, 254, 10734, 27756, 274, 254, 519, 14, 2228, 14, 4665, 2631, 16, 188, 4636, 37, 11762, 311, 14, 2926, 14, 669, 1841, 1525, 254, 7780, 274, 1330, 11762, 34557, 286, 26633, 1062, 963, 2577, 494, 16, 188, 11789, 1024, 14, 2533, 819, 348, 2517, 13345, 286, 642, 19369, 2533, 3533, 843, 963, 633, 1193, 2517, 311, 4694, 407, 3083, 14505, 390, 328, 2591, 22521, 4235, 16, 188, 3350, 4359, 14, 2014, 15, 468, 15, 9481, 11762, 2701, 353, 1841, 282, 4349, 695, 1619, 276, 254, 5017, 13144, 14, 533, 2034, 327, 1002, 14801, 4694, 4235, 476, 751, 6704, 276, 254, 1708, 29540, 16, 188, 7345, 4076, 1125, 2008, 5370, 328, 254, 801, 338, 15, 21, 3083, 1508, 14, 436, 18580, 254, 4688, 274, 11061, 6948, 286, 14, 348, 248, 3954, 14, 15606, 12935, 11466, 16, 188, 35, 4957, 274, 4076, 20899, 513, 417, 5370, 328, 729, 1899, 282, 248, 3367, 274, 4377, 390, 1852, 729, 23866, 16, 496, 1596, 14, 248, 2110, 6966, 274, 30189, 328, 4936, 16102, 403, 30005, 14, 286, 3233, 328, 5939, 3963, 16, 188, 510, 10711, 286, 4576, 2517, 274, 633, 16102, 311, 274, 1748, 6177, 1045, 276, 1316, 282, 4678, 514, 436, 1040, 16, 496, 2025, 14, 3614, 254, 5370, 4155, 587, 321, 2330, 683, 343 ]
[ 1, 75, 558, 338, 3185, 2224, 374, 28, 16757, 14310, 65, 6688, 1209, 31, 813, 13835, 27985, 539, 10, 734, 61, 75, 558, 338, 3185, 2224, 495, 28, 16757, 14310, 65, 6688, 1209, 31, 495, 18, 9483, 1952, 28, 13835, 3469, 65, 2788, 426, 16247, 41207, 603, 3469, 65, 2788, 28, 9483, 898, 65, 734, 6892, 543, 1320, 10, 15855, 65, 6688, 8866, 3986, 1952, 28, 6421, 324, 883, 276, 543, 75, 324, 883, 14, 1246, 276, 47859, 10, 1554, 65, 1984, 11, 603, 1246, 2224, 314, 1554, 65, 1984, 61, 6198, 65, 1992, 3185, 17775, 15, 19, 63, 558, 684, 79, 9, 5064, 45826, 603, 4059, 61, 75, 558, 338, 63, 3493, 14661, 286, 4059, 61, 75, 558, 338, 63, 3493, 684, 1298, 5141, 13835, 1039, 65, 1190, 426, 883, 8310, 342, 603, 1390, 65, 1984, 61, 6198, 65, 1992, 63, 2224, 684, 614, 14426, 1433, 5141, 8310, 467, 898, 65, 734, 6892, 543, 1320, 10, 19, 20, 475, 539, 10, 734, 61, 6198, 65, 1992, 558, 338, 3185, 558, 539, 10, 734, 61, 1204, 65, 1190, 558, 338, 26874, 63, 16757, 1800, 254, 5257, 4059, 555, 282, 321, 1628, 561, 8310, 342, 1952, 28, 16757, 898, 65, 734, 6892, 543, 1320, 10, 24, 18, 475, 539, 10, 734, 61, 6198, 65, 1992, 558, 338, 3185, 558, 539, 10, 21976, 4059, 61, 1204, 65, 1190, 558, 338, 26874, 63, 210, 1800, 254, 5257, 4059, 555, 282, 321, 1628, 561, 9483, 1952, 28, 13835, 3469, 65, 2788, 426, 16247, 19167, 603, 3469, 65, 2788, 28, 210, 1800, 603, 254, 1294, 311, 3469, 14, 254, 7699, 311, 1649, 282, 338, 3986, 603, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 9855, 470, 28, 6421, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 426, 338, 6421, 898, 65, 734, 6892, 543, 1320, 10, 19, 8866, 534, 3986, 1952, 28, 6421, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 19167, 1952, 28, 3986, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 426, 428, 19, 3986, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 210, 1800, 931, 3986, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 210, 1800, 641, 3541, 935, 29385, 1800, 7699, 65, 10716, 61, 6198, 65, 734, 14, 8249, 10, 6688, 65, 734, 11, 428, 338, 63, 426, 428, 19, 19167, 603, 922, 65, 734, 2224, 470, 28, 3986, 3340, 65, 9879, 6892, 21151, 1554, 65, 1984, 61, 6198, 65, 1992, 3185, 17775, 15, 19, 9252, 3986, 3340, 65, 9879, 6892, 21151, 1554, 65, 1984, 61, 6198, 65, 1992, 3185, 17775, 15, 19, 63, 558, 37269, 16626, 5868, 11167, 27985, 1479, 65, 1984, 61, 6198, 65, 1992, 63, 2224, 684, 37, 5141, 210, 1800, 380, 935, 311, 1303, 15, 3321, 6535, 2498, 1800, 26721, 254, 1294, 2498, 603, 4059, 61, 6198, 65, 1992, 558, 338, 63, 3493, 14661, 286, 4059, 61, 6198, 65, 1992, 558, 338, 63, 3493, 684, 1298, 5141, 3986, 603, 1390, 65, 1984, 61, 6198, 65, 1992, 63, 2224, 684, 1884, 11483, 1016, 9, 390, 1390, 65, 1984, 61, 6198, 65, 1992, 63, 2224, 684, 76, 940, 84, 5141, 6421, 603, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 9855, 470, 28, 9483, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 426, 338, 9483, 898, 65, 734, 6892, 543, 1320, 10, 564, 10, 9346, 10, 734, 61, 6198, 65, 1992, 558, 338, 3185, 475, 338, 18, 1210, 63, 210, 1800, 432, 46239, 282, 20311, 9483, 898, 65, 734, 6892, 543, 1320, 10, 19, 8866, 210, 1800, 28519, 1294, 6421, 1952, 28, 9483, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 9483, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 29385, 1952, 28, 41207, 603, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 9855, 470, 28, 9483, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 426, 338, 9483, 898, 65, 734, 6892, 543, 734, 61, 6198, 65, 1992, 558, 338, 9252, 210, 1800, 254, 5257, 4059, 555, 282, 321, 1628, 561, 9483, 898, 65, 734, 6892, 543, 1320, 10, 19, 8866, 210, 1800, 28519, 1294, 6421, 1952, 28, 9483, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 9483, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 2498, 1952, 28, 3986, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 3986, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 3986, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 426, 428, 19, 19167, 603, 922, 65, 734, 2224, 470, 28, 3986, 3340, 65, 9879, 6892, 543, 1554, 65, 1984, 61, 6198, 65, 1992, 9252, 3986, 3340, 65, 9879, 6892, 543, 1554, 65, 1984, 61, 6198, 65, 1992, 63, 558, 37269, 16626, 5868, 11167, 27985, 1479, 65, 1984, 61, 6198, 65, 1992, 63, 2224, 684, 38, 5141, 210, 1800, 935, 311, 12996, 314, 38, 11, 2498, 1800, 41286, 1146, 801, 935, 1339, 417, 321, 248, 7699, 19167, 603, 936, 65, 9675, 61, 6198, 65, 1992, 63, 2224, 29154, 20, 5141, 210, 1800, 935, 311, 248, 7699, 3986, 1800, 9609, 324, 935, 1252, 3986, 324, 883, 276, 543, 75, 324, 883, 14, 1246, 276, 47859, 10, 1554, 65, 1984, 11, 603, 1246, 2224, 314, 1554, 65, 1984, 61, 6198, 65, 1992, 3185, 17775, 15, 23, 63, 5064, 6421, 603, 4059, 61, 6198, 65, 1992, 558, 338, 63, 3493, 14661, 286, 4059, 61, 6198, 65, 1992, 558, 338, 63, 3493, 684, 1298, 5141, 9483, 603, 4059, 61, 6198, 65, 1992, 558, 338, 63, 653, 338, 28, 13835, 7699, 65, 10716, 61, 75, 63, 426, 428, 19, 45826, 1952, 28, 13835, 7699, 65, 10716, 61, 75, 63, 426, 338, 45826, 324, 480, 276, 543, 76, 324, 480, 14, 341, 276, 47859, 10, 9007, 65, 9879, 11, 32403, 603, 341, 2224, 314, 1554, 65, 1984, 61, 6198, 65, 1992, 3185, 17775, 15, 23, 63, 558, 37269, 16626, 9, 5064, 13835, 603, 480, 653, 8249, 10, 6688, 65, 734, 2192, 16757, 603, 4059, 61, 6198, 65, 1992, 558, 338, 63, 653, 338, 28, 21976, 898, 65, 734, 61, 76, 63, 426, 1195, 10, 18, 11, 8310, 467, 1952, 28, 21976, 898, 65, 734, 61, 76, 63, 426, 1195, 10, 19, 11, 534, 2498, 27985, 936, 65, 9675, 61, 6198, 65, 1992, 63, 2224 ]
[ 1, 65, 10968, 348, 7907, 65, 10968, 188, 3933, 1289, 1207, 608, 16, 36077, 16, 19906, 16, 14609, 65, 19906, 1369, 21432, 6917, 28937, 14, 393, 477, 16764, 565, 6917, 28937, 188, 3933, 1289, 1207, 608, 16, 36077, 16, 19906, 16, 11854, 15349, 1369, 45959, 6917, 28937, 188, 3933, 1289, 1207, 608, 16, 36077, 16, 18730, 1369, 7538, 5904, 2466, 65, 7443, 14, 393, 477, 20816, 5904, 2466, 65, 7443, 14, 393, 477, 5351, 5904, 2466, 65, 7443, 14, 393, 477, 20077, 17323, 2466, 2466, 65, 7443, 14, 20077, 4173, 5904, 2466, 65, 7443, 14, 393, 477, 3335, 10891, 5904, 2466, 65, 7443, 14, 393, 477, 3335, 10891, 4173, 5904, 2466, 65, 7443, 14, 393, 477, 25853, 474, 1725, 24621, 10841, 5904, 2466, 65, 7443, 14, 393, 477, 25853, 474, 1725, 24621, 10841, 4173, 5904, 2466, 65, 7443, 14, 393, 477, 34347, 5904, 2466, 65, 7443, 14, 1408, 5904, 2466, 65, 7443, 14, 393, 477, 3279, 5904, 2466, 65, 7443, 14, 5833, 5904, 2466, 65, 7443, 14, 393, 477, 7923, 5904, 2466, 65, 7443, 14, 393, 477, 3279, 2370, 32959, 2689, 65, 7443, 14, 393, 477, 2133, 5904, 2466, 65, 7443, 14, 393, 477, 418, 84, 34887, 1465, 1800, 4445, 10949, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 3379, 4796, 1823, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 12468, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 2426, 35071, 474, 9802, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 4817, 7260, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 5719, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 3335, 10891, 6411, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 14286, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 25853, 474, 1725, 24621, 10841, 16732, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 3335, 10891, 16732, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 20077, 22995, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 25853, 474, 1725, 24621, 10841, 6411, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 20077, 6411, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 20077, 4173, 48, 1667, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 25853, 474, 1725, 24621, 10841, 22995, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 20077, 4173, 35071, 474, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 20077, 16732, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 2202, 16109, 10949, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 2382, 4796, 1823, 5904, 2466, 65, 7443, 14, 393, 188, 188, 3933, 1289, 1207, 608, 16, 36077, 16, 19906, 16, 4768, 65, 23909, 250, 1369, 14656, 28937, 34072, 250, 188, 3933, 40113, 16, 17410, 16, 28251, 2317, 16, 5943, 18677, 1369, 261, 17833, 72, 65, 32489, 188, 3933, 40113, 16, 5310, 1369, 9730, 188, 3933, 40113, 16, 18293, 16, 28251, 2317, 1369, 1308, 65, 28251, 1065, 188, 3933, 40113, 16, 42886, 16, 15349, 16, 8676, 1369, 440, 20420, 188, 3933, 40113, 16, 6271, 16, 903, 13845, 1369, 38531, 20365, 726, 188, 3933, 40113, 16, 18293, 16, 2880, 1369, 8545, 188, 3933, 40113, 16, 18293, 16, 26726, 1369, 3377, 65, 42302, 188, 3933, 40113, 16, 2337, 1369, 23192, 22, 18, 22, 188, 3933, 40113, 16, 18293, 16, 85, 2248, 383, 800, 1369, 1579, 65, 22063, 188, 3933, 40113, 16, 42886, 16, 15349, 1369, 1336, 398, 188, 3933, 40113, 16, 18293, 16, 19513, 1369, 1453, 784, 1139, 348, 791, 188, 3933, 1289, 1207, 608, 16, 36077, 16, 19906, 16, 4768, 65, 25099, 1369, 36298, 19929, 5904, 188, 188, 5943, 18677, 65, 32489, 65, 79, 426, 1308, 65, 28251, 1065, 10, 5943, 18677, 65, 32489, 11, 188, 188, 5, 11721, 14577, 5802, 188, 188, 2360, 9285, 317, 4173, 5904, 28937, 10, 20217, 6917, 28937, 2192, 477, 8535, 65, 14652, 426, 11865, 2071, 65, 927, 65, 47053, 317, 2434, 256, 3067, 38859, 65, 7443, 1358, 2312, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 9285, 317, 16732, 5904, 28937, 10, 20217, 6917, 28937, 2192, 477, 8535, 65, 14652, 426, 11865, 2071, 65, 927, 65, 47053, 317, 2434, 256, 3067, 38859, 65, 7443, 1358, 2312, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 42543, 10028, 2931, 28937, 10, 20217, 6917, 28937, 2192, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 23967, 474, 1725, 24621, 10841, 5904, 28937, 10, 20217, 6917, 28937, 2192, 477, 29190, 65, 14652, 426, 11865, 1555, 474, 1725, 24621, 10841, 17323, 2466, 1358, 2312, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 18306, 10891, 5904, 28937, 10, 20217, 6917, 28937, 2192, 477, 29190, 65, 14652, 426, 11865, 12626, 10891, 17323, 2466, 1358, 2312, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 9285, 317, 22995, 6917, 28937, 10, 20217, 6917, 28937, 2192, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 15258, 6917, 28937, 10, 28937, 19929, 5904, 14, 45959, 6917, 28937, 2192, 477, 16210, 426, 11865, 6576, 65, 6262, 1358, 684, 12213, 65, 8357, 3291, 477, 1581, 65, 8191, 426, 11865, 14552, 65, 2137, 1358, 684, 6198, 65, 4768, 65, 21171, 1358, 684, 4768, 65, 21171, 3291, 14973, 804, 4090, 65, 2137, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 24051, 42302, 870, 1067, 477, 4090, 65, 2137, 16, 14063, 65, 9742, 426, 791, 2012, 19024, 3291, 188, 188, 2360, 16788, 6917, 28937, 10, 28937, 19929, 5904, 14, 45959, 6917, 28937, 2192, 477, 16210, 426, 11865, 6576, 65, 6262, 1358, 684, 12213, 65, 8357, 3291, 477, 1581, 65, 8191, 426, 11865, 14552, 65, 2137, 1358, 684, 6198, 65, 4768, 65, 21171, 1358, 684, 4768, 65, 21171, 3291, 14973, 804, 4090, 65, 2137, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 24051, 42302, 870, 1067, 477, 4090, 65, 2137, 16, 14063, 65, 9742, 426, 791, 2012, 24880, 1296, 3291, 188, 188, 2360, 7837, 6917, 28937, 10, 28937, 19929, 5904, 14, 45959, 6917, 28937, 2192, 477, 16210, 426, 11865, 6576, 65, 6262, 1358, 684, 12213, 65, 8357, 3291, 477, 1581, 65, 8191, 426, 11865, 14552, 65, 2137, 1358, 684, 6198, 65, 4768, 65, 21171, 1358, 684, 4768, 65, 21171, 3291, 14973, 804, 4090, 65, 2137, 10, 1262, 14, 10644, 2192, 647 ]
[ 1, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 21, 20, 27, 20, 20, 18, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 26, 21, 27, 24, 27, 27, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 21, 21, 19, 22, 23, 19, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 21, 21, 19, 22, 26, 19, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 19, 22, 18, 19, 22, 26, 27, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 23, 25, 27, 23, 21, 19, 18, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 23, 25, 27, 23, 21, 18, 21, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 22, 22, 18, 18, 23, 18, 22, 18, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 23783, 6878, 19404, 9894, 10461, 12526, 4278, 20606, 4976, 4973, 1135, 3, 0, 2432, 403, 1603, 35202, 3569, 1390, 15374, 348, 1181, 2713, 348, 330, 2177, 16, 39945, 324, 3089, 2181, 801, 286, 6817, 3418, 1938, 314, 264, 417, 387, 512, 581, 330, 2177, 11220, 1972, 6158, 2468, 321, 6604, 1269, 7150, 16, 330, 2177, 457, 2499, 9083, 6667, 555, 1845, 1649, 616, 387, 7435, 343, 642, 35202, 14, 532, 276, 436, 671, 274, 8662, 1125, 452, 1663, 282, 19082, 616, 25882, 16, 1547, 2780, 327, 254, 1477, 6288, 274, 254, 35202, 3849, 282, 254, 5884, 274, 254, 3524, 5457, 16, 1286, 756, 254, 35202, 573, 33038, 24173, 10050, 1063, 353, 8669, 561, 274, 1423, 16, 188, 35, 2177, 311, 248, 5715, 42935, 274, 254, 1668, 3853, 769, 267, 4977, 324, 272, 4977, 1397, 3928, 10578, 15860, 248, 6250, 4577, 12479, 328, 254, 4612, 16, 1180, 338, 18, 7061, 14, 495, 18, 7, 274, 665, 4577, 254, 4612, 3809, 311, 11088, 888, 282, 254, 29458, 16 ]
[ 1, 497, 16, 188, 6128, 1063, 7467, 9159, 1783, 713, 13546, 345, 3419, 441, 436, 1247, 8788, 28, 769, 17325, 315, 310, 715, 343, 368, 1845, 14, 282, 254, 1062, 980, 274, 254, 2289, 666, 314, 40552, 374, 26, 28, 20, 18, 481, 10770, 345, 311, 343, 441, 276, 254, 13555, 14161, 16, 2936, 3427, 12612, 14, 254, 13166, 14, 37089, 286, 33196, 6247, 441, 16, 188, 1435, 457, 85, 25989, 9113, 1063, 254, 6032, 7467, 286, 4377, 276, 520, 4144, 16, 750, 587, 7065, 441, 282, 6995, 16, 188, 26596, 14, 360, 12175, 327, 368, 587, 22539, 21029, 441, 274, 633, 1521, 14, 2314, 14, 286, 4328, 16, 11821, 14, 5787, 14, 286, 16609, 441, 276, 772, 2849, 274, 5839, 14, 360, 12175, 16, 2955, 258, 16, 0, 1171, 607, 23, 2476, 274, 12652, 46148, 254, 5339, 458, 10876, 10149, 16, 188, 442, 23952, 286, 4602, 286, 512, 1093, 663, 4168, 328, 254, 4403, 16, 380, 5962, 369, 2828, 10451, 16, 719, 16, 188, 2943, 254, 1508, 2411, 3449, 14, 254, 10149, 587, 6975, 370, 21, 2945, 939, 248, 5339, 458, 10876, 2490, 16, 188, 1234, 29380, 286, 6873, 1756, 749, 7682, 375, 14, 343, 843, 254, 2501, 311, 22900, 1013, 286, 5108, 16, 188, 30376, 375, 14, 2304, 254, 1508, 403, 2379, 16, 188, 3299, 1628, 10371, 30791, 580, 1110, 2094, 274, 254, 2103, 13345, 16, 188, 40310, 314, 40, 5268, 11, 3371, 276, 254, 374, 18, 19, 26, 15, 20, 18, 19, 27, 2079, 802, 1111, 267, 2490, 274, 338, 22, 401, 5268, 687, 1364, 802, 16, 188, 14273, 15, 2523, 324, 254, 6206, 274, 8695, 1350, 8141, 16, 188, 27054, 457, 85, 28132, 311, 374, 24, 3371, 10890, 683, 1364, 802, 16, 188, 33351, 2672, 712, 18147, 1442, 25536, 286, 30804, 5859, 579, 1456, 16, 188, 13966, 25536, 286, 5859, 579, 1456, 497, 444, 2564, 4507, 1063, 7353, 4602, 2672, 14, 749, 35705, 16, 188, 24200, 324, 1438, 769, 24301, 286, 4317, 666, 282, 1336, 254, 2079, 276, 665, 1026, 327, 457, 85, 2961, 16, 188, 19470, 16, 380, 2079, 311, 1012, 387, 5192, 532, 311, 7362, 248, 6008, 1581, 16, 0, 3243, 16969, 4658, 1738, 286, 1519, 1125, 7664, 274, 4658, 14752, 16, 21524, 755, 1220, 403, 248, 4489, 4360, 324, 10846, 254, 7094, 274, 633, 4658, 1269, 5702, 390, 31364, 16, 330, 2811, 311, 3608, 282, 254, 4658, 533, 5827, 254, 13202, 8125, 7876, 274, 254, 4658, 282, 385, 10355, 4373, 286, 12877, 35101, 742, 16, 826, 1213, 36749, 7636, 24911, 14, 4645, 276, 23238, 456, 14, 8998, 2731, 4658, 16, 188, 43, 452, 8293, 13596, 390, 2289, 13596, 16, 188, 3116, 4658, 311, 7036, 390, 658, 5088, 276, 3551, 16, 188, 28787, 474, 755, 1220, 2413, 276, 4609, 14, 1508, 286, 12895, 671, 16, 188, 46918, 37001, 11382, 3467, 294, 1091, 254, 3834, 769, 78, 3101, 2523, 666, 35101, 324, 512, 4658, 3395, 14, 3290, 32464, 4658, 343, 641, 1051, 2523, 16, 188, 510, 1472, 49, 495, 15, 13615, 3467, 294, 1091, 272, 13472, 15, 43738, 35101, 324, 512, 4658, 3395, 286, 9569, 327, 10741, 3248, 21037, 1508, 683, 9565, 755, 1220, 16, 188, 3294, 15, 9261, 35101, 9439, 669, 2066, 16, 0, 1130, 311, 1841, 282, 751, 633, 5769, 282, 8745, 343, 368, 16, 1223, 368, 1503, 1074, 327, 368, 747, 353, 603, 368, 457, 251, 7183, 282, 1354, 254, 2417, 286, 19287, 775, 16, 310, 2314, 282, 8745, 343, 618, 14311, 1578, 16, 3826, 14, 310, 457, 79, 4864, 668, 9749, 12352, 16, 13654, 1191, 447, 403, 248, 2560, 642, 2563, 16, 188, 1130, 457, 85, 1247, 282, 452, 775, 328, 1116, 282, 9747, 248, 1015, 1921, 390, 3189, 274, 272, 26245, 16, 750, 457, 85, 254, 1640, 387, 47857, 254, 27955, 16, 1223, 345, 457, 85, 593, 19078, 14, 345, 14523, 479, 751, 748, 310, 961, 1525, 1865, 16, 1268, 353, 3809, 688, 785, 328, 618, 628, 282, 1041, 353, 4955, 16, 188, 686, 1137, 422, 311, 254, 2165, 282, 2876, 633, 5769, 282, 8745, 343, 368, 16, 10068, 248, 2874, 343, 775, 327, 345, 457, 85, 7183, 282, 2903, 14, 747, 368, 457, 619, 1354, 561, 254, 21693, 324, 775, 436, 2065, 603, 345, 4424, 16, 188, 46749, 830, 368, 865, 345, 476, 1741, 286, 7712, 390, 1218, 1205, 368, 1574, 328, 13846, 16, 188, 29707, 472, 775, 343, 520, 7383, 10864, 16, 188, 36095, 775, 248, 1519, 747, 254, 8766, 1684, 345, 457, 85, 643, 14306, 16, 188, 19164, 775, 2151, 4226, 282, 10077, 324, 254, 1034, 1362, 16, 188, 18952, 775, 31962, 456, 16, 9473, 1038, 457, 86, 5846, 30259, 963, 16, 10068, 2056, 345, 555, 248, 5324, 328, 1116, 16, 188, 16740, 836, 11861, 16, 1395, 1503, 321, 9600, 282, 915, 748, 248, 1247, 671, 368, 476, 452, 343, 254, 636, 368, 2314, 254, 944, 16, 188, 10512, 633, 5769, 2102, 8745, 343, 368, 33, 22242, 2622, 286, 1970, 479, 1826, 603, 368, 2314, 353, 390, 8994, 353, 16, 188, 43, 513, 8745, 343, 618, 5769, 328, 7906, 16, 23721, 360, 403, 254, 7093, 274, 254, 13781, 5021, 343, 479, 20853, 1923, 1444, 254, 4513, 1205, 345, 479, 395, 398, 286, 14148, 282, 997, 387, 8555, 274, 1789, 16, 1286, 310, 457, 79, 328, 248, 671, 9863, 14, 520, 479, 46368, 311, 1062, 16852, 834, 14, 532, 670, 360, 452, 671, 282, 3355, 1051, 14, 310, 1623, 4126, 520, 2485, 286, 3175, 16, 188, 3116, 3002, 15, 250, 15, 6751, 369, 254, 1057, 16, 1469, 807, 3759, 8745, 747, 641, 642, 974, 701, 20396, 2430, 353, 16, 0, 1982, 633, 25849, 8671, 555, 643, 6825, 286, 368, 900, 772, 975, 282, 38917, 254, 2809, 14, 368, 476, 18990, 248, 3378, 274, 254, 3279, 407, 23715, 254, 4436, 900, 328, 254, 2809, 16, 380, 9359, 4436, 311, 18338, 347, 29921, 8671, 16789, 1249, 428, 7367, 16, 543, 32514, 386, 3681, 1162, 63, 3333, 731, 587, 7457, 348, 248, 954, 25535, 1819, 16, 188, 1982, 368, 403, 1311, 7390, 282, 18990, 254, 3279, 14, 4356, 2960, 441, 1045, 16, 0, 6906, 3083, 7174, 276, 338, 19, 18, 9862, 16, 188, 8263, 994, 324, 7607, 28, 5243, 34683, 9975, 1037, 731, 434, 5243 ]
[ 1, 16, 188, 988, 4518, 1348, 311, 417, 248, 36042, 26846, 407, 665, 2034, 14, 532, 345, 311, 3055, 286, 25764, 670, 345, 3095, 282, 321, 16, 17670, 327, 1623, 16315, 561, 282, 479, 328, 10879, 497, 520, 18534, 6750, 16, 750, 555, 248, 18934, 3177, 324, 8728, 670, 282, 563, 276, 324, 254, 5006, 16, 750, 913, 12512, 1788, 15, 24787, 11570, 286, 3759, 1285, 944, 274, 520, 23869, 286, 9470, 1062, 1665, 328, 520, 4525, 324, 248, 10240, 6534, 16, 750, 311, 248, 1157, 16502, 2081, 343, 4740, 40242, 1923, 6750, 14, 2101, 310, 4931, 457, 86, 1283, 775, 17324, 276, 1996, 2104, 16, 750, 311, 669, 248, 1837, 12599, 14, 286, 520, 21180, 286, 23357, 1186, 452, 643, 2165, 4156, 276, 4419, 2251, 387, 819, 248, 2784, 2289, 16, 188, 510, 1964, 7155, 310, 452, 343, 42989, 403, 520, 1615, 3609, 3026, 286, 520, 3367, 274, 4440, 85, 13260, 16, 42989, 457, 85, 1431, 484, 311, 248, 2298, 13453, 286, 345, 21117, 14898, 520, 3448, 670, 15508, 17680, 16, 2936, 3055, 1232, 555, 1143, 597, 324, 353, 2926, 2019, 14, 532, 345, 1623, 3095, 282, 2941, 254, 8566, 1915, 274, 2876, 276, 286, 561, 343, 520, 13260, 22535, 16, 750, 457, 85, 756, 374, 19, 1090, 1668, 14, 593, 345, 555, 671, 282, 3054, 14, 532, 353, 457, 85, 2674, 668, 327, 671, 830, 345, 1623, 3095, 282, 1741, 1051, 286, 3533, 1826, 520, 1615, 3609, 2892, 311, 1438, 282, 2023, 775, 343, 254, 1499, 956, 9514, 286, 3609, 10200, 2961, 324, 670, 345, 13805, 254, 29947, 390, 11277, 1065, 1245, 16, 188, 988, 4518, 1348, 2692, 650, 452, 16571, 2103, 276, 436, 10557, 14, 532, 626, 311, 1311, 688, 1500, 2417, 328, 1826, 345, 311, 1438, 282, 321, 2041, 282, 1041, 353, 282, 254, 1689, 1245, 343, 520, 1615, 10578, 867, 16, 2936, 2289, 476, 8266, 321, 248, 3893, 15, 265, 2325, 13841, 16, 839, 3970, 2950, 248, 21483, 747, 34210, 250, 14335, 91, 14, 1041, 353, 282, 254, 29947, 387, 374, 22, 1090, 1668, 14, 286, 5582, 1129, 248, 4740, 10803, 14, 345, 11652, 561, 841, 811, 374, 23869, 16, 1286, 42989, 497, 282, 855, 343, 254, 29947, 276, 254, 2734, 2764, 14, 310, 4563, 345, 650, 10801, 248, 2013, 13369, 14, 3233, 7103, 520, 1615, 3609, 3026, 16, 380, 1640, 1068, 9809, 324, 42989, 311, 324, 775, 282, 3906, 286, 38210, 520, 10786, 276, 4237, 274, 254, 331, 486, 286, 18135, 1916, 520, 1868, 282, 1444, 338, 23, 15, 18, 4440, 16, 1997, 327, 1110, 14, 345, 650, 321, 272, 7250, 4793, 324, 380, 36222, 43583, 14, 533, 807, 2023, 775, 343, 688, 1499, 956, 3609, 286, 10054, 1493, 597, 520, 2836, 597, 282, 254, 33473, 274, 748, 353, 587, 1354, 282, 1041, 353, 387, 254, 1689, 1245, 16, 188, 988, 4518, 1348, 24437, 479, 248, 2298, 274, 17726, 9136, 4798, 276, 17227, 282, 520, 4440, 6750, 14, 3616, 14, 286, 11720, 16, 42989, 311, 417, 2094, 328, 6973, 1707, 742, 520, 2391, 12534, 16, 750, 3032, 282, 452, 248, 2196, 4306, 282, 417, 756, 1041, 353, 276, 254, 29947, 14, 532, 282, 580, 1362, 2411, 248, 47864, 16, 750, 555, 1157, 1921, 14, 3759, 14, 286, 38087, 282, 18135, 580, 1362, 946, 939, 343, 327, 9664, 16, 0, 9452, 443, 6721, 274, 16751, 451, 324, 529, 36187, 1834, 1293, 1146, 338, 23, 354, 20141, 374, 18, 19, 27, 314, 23692, 5875, 276, 22525, 22957, 28, 328, 5451, 8977, 1068, 314, 510, 25454, 11, 1027, 310, 1675, 7810, 2229, 47273, 1520, 428, 5267, 434, 418, 1622, 383, 11909, 324, 529, 36187, 1834, 313, 26076, 344, 1086, 16, 188, 510, 33571, 24782, 87, 2142, 457, 85, 2964, 282, 3577, 254, 2714, 50, 2473, 22957, 5451, 7051, 1068, 457, 282, 254, 7956, 15463, 274, 31708, 314, 37, 5988, 11, 4107, 254, 1068, 977, 1008, 11358, 14, 286, 254, 6577, 1339, 33038, 40388, 254, 5451, 8977, 286, 2718, 5554, 43724, 327, 555, 5327, 1659, 248, 1162, 274, 2784, 2185, 16, 188, 510, 1068, 573, 695, 20183, 276, 248, 5666, 274, 5451, 20564, 14, 8977, 286, 18972, 276, 248, 3748, 276, 2357, 6603, 40797, 3180, 16, 188, 6004, 254, 5109, 274, 254, 9878, 369, 1143, 276, 980, 15, 23336, 14, 254, 1068, 3446, 248, 9640, 2318, 436, 2065, 670, 248, 30218, 3379, 1102, 695, 1026, 713, 254, 1321, 14845, 16, 188, 53, 45651, 432, 254, 14747, 274, 1093, 663, 497, 9572, 14, 353, 573, 248, 3306, 269, 613, 3955, 25526, 343, 616, 490, 15544, 282, 3437, 616, 3690, 16, 188, 1128, 3196, 5672, 555, 4709, 327, 254, 4172, 274, 254, 5704, 274, 254, 1694, 2784, 1770, 276, 22525, 22957, 1503, 321, 1181, 3936, 683, 311, 4607, 1012, 16, 188, 19226, 254, 9878, 369, 248, 3442, 274, 254, 1822, 5267, 16089, 399, 3276, 4215, 16824, 2929, 376, 23992, 74, 357, 313, 314, 9736, 555, 1544, 643, 5023, 432, 254, 3027, 457, 85, 13814, 581, 286, 43486, 4532, 23737, 327, 254, 1068, 8460, 1093, 1181, 2103, 276, 254, 2341, 457, 85, 10092, 3027, 9298, 16, 188, 510, 1321, 21468, 327, 47978, 573, 254, 2142, 801, 15384, 327, 254, 1068, 321, 9245, 282, 254, 22596, 24637, 15, 37, 1787, 14, 286, 835, 276, 811, 248, 1362, 14, 282, 254, 331, 5988, 16, 188, 3269, 254, 43970, 15884, 3123, 21527, 286, 4475, 13799, 407, 15, 71, 9628, 1444, 254, 6956, 14, 254, 3452, 15356, 328, 254, 1068, 311, 2692, 282, 321, 22015, 11318, 16, 188, 1130, 311, 1726, 327, 1002, 348, 254, 5672, 16479, 282, 23050, 254, 7892, 286, 4947, 254, 4172, 274, 254, 7051, 286, 2718, 5554, 11808, 14, 254, 2185, 457, 85, 6315, 286, 615, 10782, 321, 13343, 6702, 16, 188, 510, 2341, 9901, 457, 85, 5240, 555, 11981, 327, 353, 587, 2507, 272, 5672, 713, 254, 2563, 14, 5123, 10969, 3778, 327, 10079, 476, 1052, 282, 38917, 14271, 343, 3316, 38060, 16, 188, 510, 3206, 5240, 324, 9901, 555, 4329, 3960, 4328, 687, 254, 5098, 274, 2185, 276, 33571, 24782, 87, 16, 188, 686, 248, 4706, 282, 254, 2341, 399, 11960, 14, 695, 15096, 10533, 555, 2464, 327, 4426, 2181, 321, 2584, 14, 286, 7593, 272, 2181, 2584, 1280, 16, 188, 510, 2142 ]
[ 1, 2942, 274, 785, 282, 3316, 254, 4686, 327, 369, 2464, 274, 729, 16, 188, 510, 33297, 274, 4861, 286, 7269, 282, 2207, 4315, 1192, 322, 15834, 494, 276, 3622, 16, 27441, 711, 327, 343, 254, 801, 4464, 8329, 432, 254, 2646, 11793, 8217, 286, 254, 1460, 432, 254, 15463, 274, 36921, 14, 45881, 14, 286, 8498, 14901, 286, 368, 751, 272, 2843, 274, 254, 7656, 4686, 3195, 274, 254, 2367, 1361, 16, 496, 1596, 282, 327, 4686, 3195, 369, 254, 8756, 2713, 436, 6932, 15374, 286, 254, 3258, 3629, 274, 533, 1125, 328, 254, 1361, 3155, 254, 13179, 16, 310, 961, 282, 5552, 1004, 3442, 274, 254, 1361, 324, 2430, 248, 2545, 327, 369, 9041, 273, 14, 2710, 9888, 14, 286, 748, 310, 3409, 587, 321, 4269, 512, 274, 254, 16577, 286, 11995, 327, 497, 17404, 276, 436, 37446, 16, 188, 510, 6678, 274, 436, 1280, 311, 417, 282, 24808, 665, 1408, 663, 369, 328, 254, 6029, 254, 2286, 274, 254, 3183, 532, 3082, 282, 2941, 432, 436, 22113, 286, 2055, 3461, 348, 248, 1361, 1755, 683, 360, 497, 1063, 16, 20070, 286, 2436, 476, 3906, 282, 7948, 282, 254, 7180, 596, 7434, 593, 1181, 276, 436, 3279, 286, 254, 12604, 274, 1093, 663, 3155, 729, 16, 188, 3116, 6699, 312, 2885, 563, 561, 282, 657, 568, 338, 18, 286, 338, 25, 14, 254, 2672, 663, 497, 2722, 282, 254, 12830, 14, 532, 944, 15108, 282, 254, 354, 15456, 286, 6964, 39057, 5703, 16, 1664, 311, 417, 248, 1362, 310, 1038, 457, 86, 1141, 274, 368, 286, 254, 17284, 368, 1143, 16, 826, 3279, 311, 9676, 282, 512, 274, 368, 276, 254, 12721, 360, 1582, 452, 665, 819, 14969, 9709, 441, 959, 16, 188, 510, 7605, 933, 1263, 248, 10319, 7812, 23601, 3526, 16, 19157, 14, 254, 3183, 7605, 1042, 417, 452, 248, 2107, 3526, 15531, 10319, 7812, 1472, 2409, 16, 826, 3526, 933, 321, 3591, 17115, 13716, 4748, 14, 39577, 2611, 42, 14, 8454, 36356, 286, 642, 4351, 7281, 7269, 286, 12298, 348, 3681, 16, 826, 3526, 933, 2408, 254, 5150, 7923, 274, 14231, 10319, 7812, 1472, 2409, 819, 348, 407, 1665, 265, 321, 318, 786, 390, 17497, 6932, 6029, 10879, 16, 188, 510, 7605, 933, 5566, 1615, 5351, 7617, 348, 596, 4503, 282, 8715, 17534, 16, 19157, 14, 254, 7605, 1042, 417, 2062, 248, 6275, 3608, 282, 5390, 10640, 16, 380, 7617, 15531, 4475, 1460, 6259, 933, 321, 9055, 16, 380, 33770, 2214, 669, 3516, 254, 872, 282, 4947, 7605, 268, 7067, 4850, 16418, 274, 4475, 8715, 6932, 10640, 16, 18234, 276, 254, 1057, 4980, 348, 360, 2507, 20123, 7067, 14, 836, 16418, 4867, 933, 321, 6904, 324, 1033, 2135, 22085, 1525, 272, 6932, 16, 380, 5672, 2214, 555, 7735, 327, 443, 2610, 495, 15, 22, 14, 13570, 20858, 14, 933, 3706, 9055, 1460, 4850, 5390, 1052, 7067, 16, 188, 510, 7605, 933, 1263, 272, 24658, 3609, 2024, 327, 3466, 14108, 1444, 254, 15665, 274, 26863, 87, 1036, 19754, 10363, 16, 380, 3567, 880, 23819, 311, 5577, 5346, 324, 14025, 2417, 387, 254, 6932, 14, 2228, 14, 580, 1408, 2468, 321, 3159, 282, 4503, 836, 8996, 282, 272, 6932, 603, 254, 5833, 555, 417, 8304, 248, 2546, 2660, 282, 2417, 4184, 713, 695, 7617, 286, 695, 26012, 4326, 16, 8498, 72, 14637, 286, 3183, 6079, 933, 321, 9899, 286, 248, 975, 933, 321, 8774, 282, 18714, 2508, 4653, 274, 12866, 286, 3196, 6029, 1921, 15, 484, 16, 380, 2417, 6958, 10637, 15735, 933, 321, 6904, 536, 826, 16911, 29082, 343, 3497, 268, 607, 274, 254, 7605, 457, 85, 14860, 2035, 314, 20, 18, 19, 22, 2192, 8980, 504, 10800, 3609, 286, 5537, 2363, 282, 5256, 11258, 403, 4603, 5320, 282, 7856, 1323, 615, 12451, 286, 19144, 16, 188, 510, 7605, 457, 85, 1615, 3567, 880, 11050, 4021, 27614, 3095, 282, 321, 9055, 282, 2408, 1615, 8112, 286, 743, 7269, 16, 380, 1527, 28071, 4132, 254, 3483, 274, 436, 3526, 327, 933, 321, 2818, 390, 9055, 16, 188, 2943, 14, 830, 14, 286, 843, 310, 3231, 933, 321, 6904, 16, 188, 24544, 9514, 328, 843, 8715, 17534, 933, 321, 10648, 387, 254, 30393, 1245, 16, 188, 510, 9031, 933, 452, 248, 9676, 18195, 12391, 328, 512, 17534, 16, 188, 510, 9031, 933, 1263, 248, 13842, 1402, 6051, 670, 8695, 13047, 390, 14004, 5704, 16, 188, 510, 3196, 1921, 15, 484, 933, 1852, 254, 1479, 286, 1580, 274, 2522, 282, 3533, 1841, 8129, 14444, 16, 188, 510, 8641, 274, 2135, 6932, 47613, 286, 254, 15251, 286, 21331, 274, 836, 47613, 314, 10059, 348, 254, 7605, 457, 85, 1615, 20123, 7067, 481, 188, 510, 13330, 286, 21108, 15251, 407, 254, 20858, 5044, 348, 353, 43875, 282, 254, 4987, 274, 248, 374, 18, 15, 15075, 8657, 327, 311, 31277, 282, 254, 3567, 880, 23819, 16, 188, 510, 2207, 286, 2462, 282, 254, 19454, 310, 3231, 11282, 933, 3606, 282, 28, 13716, 4748, 338, 23, 18, 18, 14, 11814, 328, 8498, 4347, 28280, 1036, 18195, 286, 4626, 8028, 29, 13716, 4748, 338, 23, 24, 19, 14, 11814, 328, 27095, 9241, 3567, 880, 11050, 4021, 29, 286, 254, 3206, 3567, 880, 11050, 4021, 16, 188, 47901, 512, 7605, 6079, 4850, 18195, 12391, 12451, 286, 19144, 16, 2514, 4475, 5164, 274, 254, 18195, 12391, 1142, 311, 247, 327, 436, 6932, 1142, 311, 417, 4686, 18813, 16, 380, 8075, 274, 436, 310, 3231, 1142, 311, 4440, 6029, 5098, 16, 826, 16911, 29082, 343, 45746, 495, 45, 274, 254, 7605, 457, 85, 14860, 2035, 314, 20, 18, 19, 22, 2192, 24555, 254, 2472, 286, 1142, 274, 254, 18195, 35801, 16, 188, 47901, 512, 8715, 11258, 276, 3532, 4987, 16, 16325, 4987, 555, 29953, 4251, 274, 254, 1364, 763, 7797, 16, 731, 311, 28984, 327, 436, 5833, 9196, 4475, 8129, 31047, 286, 7664, 274, 13182, 16, 380, 3520, 11776, 939, 436, 7605, 3609, 933, 321, 10923, 713, 512, 6029, 1921, 15, 8549, 1635, 407, 254, 801, 20324, 5741, 16, 826, 16911, 29082, 343, 3497, 268, 607, 274, 254, 7605, 457, 85, 14860, 2035, 314, 20, 18, 19, 22, 2192, 8980, 504, 10800, 3609, 286, 5537, 2363, 282, 5256, 11258, 403, 4603, 5320, 282, 7856, 1323, 615, 12451, 286, 19144, 16, 188 ]
[ 1, 1358, 37269, 4519, 1358, 37269, 5434, 65, 4519, 5868, 1952, 374, 23, 23, 11, 15088, 324, 5224, 276, 1827, 16, 4100, 26051, 65, 6585, 3761, 5773, 63, 926, 2312, 926, 5580, 65, 3039, 426, 427, 3060, 9571, 10098, 4365, 10, 47953, 31474, 46017, 2719, 926, 5580, 65, 15908, 426, 12578, 16508, 10, 46017, 65, 3039, 16, 1554, 14, 935, 13706, 31, 1984, 65, 7679, 14, 28384, 935, 15232, 31, 1984, 65, 10424, 14, 28384, 935, 44489, 31, 1984, 65, 30166, 14, 17398, 55, 15671, 26, 31, 4937, 11, 926, 5580, 65, 1510, 85, 61, 4530, 4862, 1554, 5868, 63, 426, 550, 1003, 684, 46017, 65, 3039, 5141, 5580, 65, 3039, 14, 684, 46017, 65, 15908, 5141, 5580, 65, 15908, 95, 2621, 3485, 426, 338, 647, 14057, 426, 11836, 647, 6453, 65, 1554, 426, 1827, 16, 9696, 3815, 16, 1554, 647, 324, 278, 276, 931, 28, 926, 1800, 29284, 279, 18556, 2511, 4314, 926, 7221, 65, 14620, 426, 10603, 65, 927, 65, 5154, 957, 65, 14620, 10, 70, 14, 3485, 14, 14057, 14, 44638, 6453, 65, 1554, 11, 926, 3340, 426, 43073, 11712, 16, 28339, 65, 79, 18556, 65, 34682, 65, 4530, 65, 7679, 10, 1003, 7221, 65, 14620, 11, 926, 1800, 15706, 11114, 4759, 314, 4519, 14, 2796, 65, 4519, 14, 2796, 65, 2343, 11, 926, 1800, 3340, 555, 9882, 324, 1033, 2511, 926, 603, 6453, 65, 1554, 417, 276, 3340, 28, 1003, 3340, 61, 9696, 3815, 65, 1554, 63, 426, 11836, 926, 3340, 61, 9696, 3815, 65, 1554, 6895, 33279, 63, 426, 3485, 926, 3340, 61, 9696, 3815, 65, 1554, 6895, 10562, 3376, 65, 33279, 63, 426, 428, 19, 926, 324, 2511, 276, 1827, 16, 20806, 28, 1003, 1800, 751, 931, 324, 436, 2511, 286, 3510, 282, 41450, 1003, 2511, 65, 1554, 426, 2511, 4862, 1554, 5868, 1003, 5580, 65, 1510, 426, 5580, 65, 1510, 85, 61, 4530, 65, 1554, 63, 1003, 4759, 426, 543, 2498, 3179, 4862, 90, 3839, 5868, 324, 3179, 276, 2498, 2511, 4862, 27436, 5868, 63, 558, 1827, 16, 4100, 26051, 65, 6585, 3761, 5773, 1003, 5580, 65, 15908, 426, 5580, 65, 1510, 4862, 46017, 65, 15908, 5868, 1003, 4059, 426, 3340, 16, 784, 10, 4530, 65, 1554, 14, 8037, 11, 1003, 603, 1479, 10, 734, 11, 2224, 10603, 28, 2498, 3510, 65, 734, 10, 3986, 1827, 16, 3343, 65, 7209, 65, 734, 10, 734, 14, 2511, 581, 3986, 5580, 65, 15908, 14, 4759, 11, 1003, 27985, 1479, 10, 734, 11, 2224, 1581, 28, 2498, 324, 1401, 65, 734, 276, 4059, 28, 3986, 3510, 65, 734, 10, 6421, 1827, 16, 3343, 65, 7209, 65, 734, 10, 6816, 65, 734, 14, 2511, 581, 6421, 5580, 65, 15908, 14, 4759, 11, 926, 3485, 6892, 338, 2621, 324, 2511, 65, 1554, 14, 5580, 65, 1510, 276, 5580, 65, 1510, 85, 16, 2480, 15135, 14439, 926, 5580, 65, 1510, 4862, 46017, 65, 15908, 35296, 10212, 47344, 4365, 10, 1003, 5580, 65, 1510, 4862, 46017, 65, 15908, 35296, 29468, 14, 4298, 5313, 33068, 3291, 2621, 1800, 3510, 22636, 3039, 647, 343, 46746, 4365, 10, 3839, 14, 684, 89, 3291, 348, 22636, 65, 3039, 28, 926, 324, 2511, 65, 1554, 14, 5580, 65, 1510, 276, 5580, 65, 1510, 85, 16, 2480, 15135, 14439, 1003, 5580, 65, 3039, 426, 5580, 65, 1510, 4862, 46017, 65, 3039, 5868, 1003, 5580, 65, 3039, 16, 31015, 10, 18, 11, 1003, 22636, 65, 3039, 16, 6171, 10, 2498, 5580, 65, 3039, 16, 1554, 14, 18736, 3333, 13575, 10, 4530, 65, 1554, 16, 8909, 27258, 14307, 558, 22044, 46017, 2719, 2621, 1800, 2722, 4227, 670, 360, 403, 2152, 647, 324, 2511, 65, 1554, 14, 5580, 65, 1510, 276, 5580, 65, 1510, 85, 16, 2480, 15135, 14439, 926, 5580, 65, 1510, 4862, 46017, 65, 3039, 35296, 10212, 1067, 534, 188, 1510, 10603, 65, 927, 65, 22121, 65, 14620, 10, 70, 14, 2796, 65, 4519, 31, 18, 2192, 477, 1477, 534, 188, 1510, 6458, 65, 14620, 10, 14620, 65, 875, 14, 6697, 14, 21749, 14, 2570, 65, 2617, 14, 2498, 13107, 65, 302, 31, 11033, 14, 5641, 65, 7075, 31, 11033, 14, 1361, 65, 21039, 2480, 5313, 17, 1358, 2498, 7871, 65, 6946, 65, 9697, 7343, 31, 4937, 14, 2498, 8751, 65, 6946, 65, 9697, 7343, 31, 5489, 2192, 477, 11916, 477, 12761, 4426, 13107, 1740, 1635, 254, 13107, 1479, 477, 11916, 477, 13107, 65, 875, 65, 4846, 65, 4113, 426, 550, 647, 43073, 16, 58, 7651, 65, 29145, 28, 684, 927, 65, 90, 5047, 65, 14620, 1358, 647, 43073, 16, 5013, 56, 65, 29145, 28, 684, 927, 65, 22121, 65, 24438, 65, 14620, 1358, 647, 43073, 16, 5013, 56, 65, 60, 3023, 65, 29145, 28, 684, 927, 65, 92, 6218, 65, 24438, 1358, 647, 43073, 16, 4433, 56, 65, 60, 3023, 65, 29145, 28, 684, 927, 65, 92, 6218, 65, 46017, 1358, 647, 43073, 16, 35, 21031, 6156, 937, 65, 29145, 28, 684, 927, 65, 14569, 654, 255, 65, 14620, 9, 477, 744, 1465, 1246, 629, 426, 1558, 5078, 16, 25099, 16, 784, 10, 647, 2525, 870, 19150, 870, 466, 90, 514, 31, 19150, 14, 2570, 65, 2617, 870, 40938, 31, 302, 65, 2617, 11, 1465, 1800, 7123, 279, 18556, 324, 254, 19879, 477, 5694, 426, 7123, 65, 79, 18556, 10, 19150, 14, 2570, 65, 2617, 14, 5641, 65, 7075, 11, 1465, 13107, 65, 26213, 426, 43073, 11712, 1067, 477, 13107, 65, 26213, 16, 29149, 65, 30355, 2805, 24586, 426, 1361, 65, 21039, 2480, 477, 13107, 65, 26213, 16, 53, 3733, 1405, 65, 12639, 65, 36847, 3023, 22955, 426, 7871, 65, 6946, 65, 9697, 7343, 477, 13107, 65, 26213, 16, 35032, 10870, 65, 12639, 65, 36847, 3023, 22955, 426, 8751, 65, 6946, 65, 9697, 7343, 477, 13107, 65, 26213, 16, 1160, 65, 9696, 3815, 10, 90, 629, 16, 2137, 65, 44848, 4872, 9696, 3815, 11, 1465, 17241, 426, 42281, 1392, 2012, 93, 1942, 14620, 65, 577, 1942, 577, 95, 5813, 7910, 10, 14620, 65, 875, 14, 21749, 14, 2570, 65, 2617, 1210, 477, 14310, 65, 3039, 426, 427, 3060, 9571, 10098, 4365, 10, 15018, 31, 15018, 14, 32823, 31, 1551, 449, 558, 6697, 1210, 1465, 1800, 751, 254, 13107, 1142, 407, 13107, 1479, 477, 11317, 426, 751, 9321, 10, 14620, 65 ]
[ 1, 324, 7096, 16, 4906, 15597, 1223, 14763, 15214, 29, 29129, 4539, 20363, 14, 34912, 1223, 309, 793, 7649, 34581, 3288, 496, 954, 188, 1212, 403, 580, 274, 254, 6081, 27294, 274, 900, 36020, 3288, 286, 900, 36200, 6326, 16, 8939, 772, 3783, 18980, 274, 900, 36020, 3288, 16, 3239, 8939, 2916, 29822, 286, 8118, 16, 5568, 1860, 3172, 1548, 16, 34581, 379, 14, 331, 530, 14, 45996, 14, 9851, 14, 347, 69, 22780, 12776, 985, 719, 4, 5959, 6074, 14, 15289, 10771, 28, 323, 20, 22, 21, 25, 27, 26, 16, 188, 13816, 317, 379, 31337, 1701, 366, 38515, 1676, 42560, 18839, 343, 512, 743, 39278, 286, 743, 18839, 18616, 398, 14, 328, 15811, 47454, 18597, 343, 576, 26, 758, 36020, 379, 38238, 16, 14759, 2059, 407, 314, 20, 11, 374, 18, 18, 289, 82, 5529, 743, 5080, 11982, 2818, 16, 188, 5677, 89, 5939, 36020, 3288, 7753, 5939, 36020, 379, 3762, 300, 13685, 2248, 359, 6479, 267, 78, 439, 605, 16458, 5939, 36020, 3288, 7753, 341, 313, 1219, 313, 17384, 34274, 271, 48187, 5939, 36020, 3288, 7753, 31395, 8577, 36200, 6326, 311, 4024, 282, 44855, 1572, 8409, 28870, 34581, 3288, 378, 48187, 331, 530, 34581, 379, 5423, 6605, 36316, 4039, 3891, 36020, 379, 4906, 624, 4906, 2916, 8464, 16, 188, 20244, 36020, 379, 5574, 7753, 16, 45621, 286, 3083, 432, 9529, 274, 35871, 1903, 3762, 14, 7753, 286, 11086, 16, 595, 34000, 274, 3762, 2790, 5157, 16, 188, 13816, 317, 379, 7315, 14, 76, 1377, 36020, 379, 7315, 14, 46347, 36020, 379, 7315, 14, 35776, 7925, 826, 2586, 452, 1125, 7753, 668, 36020, 3288, 14, 1507, 1610, 14, 76, 1377, 36020, 379, 7315, 14, 46347, 36020, 379, 7315, 14, 35776, 36020, 379, 7315, 14, 17480, 7315, 14, 1376, 9206, 5339, 7315, 14, 2820, 5339, 7315, 286, 593, 328, 16, 188, 6821, 5640, 4184, 3134, 432, 17454, 24397, 3170, 14, 18580, 5098, 14, 11051, 4665, 286, 20534, 248, 624, 17856, 4360, 324, 633, 2072, 16, 2640, 772, 1173, 109, 28516, 28217, 327, 13033, 4163, 286, 3134, 282, 9260, 6555, 14, 368, 476, 13243, 8494, 633, 10164, 286, 2330, 633, 6324, 4665, 16, 188, 21291, 35578, 4539, 22470, 29129, 34581, 379, 38515, 16, 1015, 3395, 274, 9822, 36020, 3288, 1027, 42349, 706, 3172, 275, 609, 20670, 954, 473, 251, 8577, 34581, 379, 1146, 3566, 1524, 14759, 491, 6326, 1146, 7925, 9720, 254, 9887, 286, 254, 9611, 1015, 3395, 274, 9822, 4588, 333, 14065, 324, 633, 9822, 10602, 4304, 3, 27598, 17271, 4906, 15597, 16, 188, 5897, 3209, 7216, 5172, 10803, 273, 6326, 3672, 3240, 281, 1468, 87, 546, 12431, 14, 37920, 5172, 7160, 4934, 14, 47990, 14, 14430, 6073, 14, 278, 433, 2431, 14, 27958, 5172, 7160, 4892, 900, 14650, 6326, 324, 7096, 16, 0, 46774, 625, 38934, 282, 3510, 5314, 683, 1602, 248, 21663, 282, 2941, 2803, 16, 188, 2515, 353, 19380, 479, 282, 915, 748, 310, 12462, 348, 347, 20362, 264, 2978, 14, 7929, 466, 1157, 4, 188, 42, 7933, 14, 274, 512, 4902, 16, 35580, 282, 915, 327, 310, 369, 3320, 16, 188, 927, 15813, 248, 21663, 14, 748, 6938, 650, 3223, 368, 687, 328, 436, 2443, 33, 0, 7701, 3505, 16582, 25044, 276, 254, 657, 3473, 2081, 2829, 1912, 20418, 543, 84, 3777, 273, 286, 13350, 22686, 63, 286, 4032, 706, 3556, 16, 27114, 311, 254, 1964, 38118, 14, 533, 26591, 944, 274, 254, 11089, 2974, 286, 8302, 248, 5708, 16853, 2497, 8548, 1525, 254, 9812, 274, 657, 3473, 2081, 16, 27114, 311, 254, 6287, 24130, 282, 657, 3473, 2081, 434, 4903, 7675, 286, 5961, 1125, 8856, 16, 657, 3473, 2081, 14364, 4565, 819, 10827, 4806, 348, 22055, 3462, 14, 17336, 14, 18717, 14, 12010, 14, 476, 6654, 14, 259, 1781, 14, 14390, 14, 33381, 14, 16745, 14, 289, 13790, 286, 391, 6506, 16, 188, 1853, 254, 3748, 311, 276, 254, 2710, 274, 248, 1062, 18747, 16853, 4351, 14, 626, 311, 417, 756, 1247, 2365, 282, 2023, 7223, 3134, 282, 2104, 14364, 14, 532, 669, 282, 2411, 3103, 276, 2653, 15, 21023, 16, 11674, 1186, 555, 2411, 248, 1887, 628, 274, 657, 3473, 2081, 434, 6795, 343, 254, 9693, 274, 28007, 27362, 33601, 27965, 47870, 16, 496, 1596, 14, 657, 3473, 2081, 43645, 9423, 47378, 432, 512, 687, 343, 254, 11600, 274, 15678, 286, 14714, 276, 254, 8476, 2104, 16, 5066, 1525, 254, 9812, 274, 657, 3473, 2081, 14, 248, 1500, 1245, 274, 8189, 311, 16298, 276, 2142, 3134, 286, 5294, 16582, 16, 0, 6690, 4202, 403, 2448, 276, 254, 3802, 7234, 380, 2456, 274, 4500, 6958, 6944, 274, 1034, 15, 3818, 17109, 5598, 328, 31165, 286, 3753, 276, 331, 23, 25, 17, 5458, 24, 3630, 14, 3970, 3737, 276, 254, 6521, 3978, 10261, 706, 28433, 314, 8848, 10261, 706, 28433, 338, 27, 22, 314, 20, 18, 19, 26, 11, 374, 19, 26, 15, 20, 21, 20, 481, 826, 785, 369, 5043, 407, 22009, 323, 16, 6448, 1930, 14, 18751, 2200, 418, 16, 367, 10898, 14175, 14, 16625, 444, 16, 12694, 14, 18875, 310, 16, 2253, 305, 34083, 14, 33870, 354, 16, 40287, 14, 12356, 1711, 444, 16, 610, 7748, 47177, 14, 4966, 330, 16, 25874, 9062, 14, 9731, 7820, 4823, 39373, 1743, 14, 4238, 21073, 6105, 375, 14, 24249, 1442, 500, 16, 12694, 14, 7060, 444, 16, 9782, 427, 493, 17059, 14, 286, 2436, 610, 16, 16962, 432, 657, 2344, 11667, 2421, 16, 188, 17965, 75, 10747, 5598, 311, 2258, 343, 7223, 1738, 5215, 14, 1648, 3652, 2417, 274, 254, 1499, 457, 85, 3720, 15281, 6404, 819, 348, 2710, 2642, 14, 9715, 14, 7864, 3595, 8180, 14, 22567, 457, 85, 2642, 14, 286, 2832, 16, 39050, 555, 669, 643, 1953, 282, 3054, 11980, 14, 32393, 3941, 286, 5749, 274, 10127, 286, 9204, 14, 286, 3054, 9444, 1142, 1205, 10766, 254, 2417, 274, 21106, 276, 1938, 1464, 16, 188, 45696, 3351, 348, 282, 843, 31452, 2688, 5598, 314, 21305, 11, 286, 843, 388, 10178, 360, 452, 282, 16577, 314, 36725, 11, 276, 1316, 282, 4962, 254, 4718, 5215, 16, 19236, 774, 321, 5940, 276, 8728, 254, 5758, 3324, 2347, 282, 915, 665, 3563, 274, 13893, 11384, 276, 1738, 6786, 16, 188, 10072, 785, 15250, 254, 2456, 274, 5598, 276, 3630 ]
[ 1, 4417, 10420, 14, 2207, 254, 6593, 5062, 1863, 20891, 390, 28962, 6457, 286, 889, 327, 1056, 282, 2063, 436, 1631, 16, 1375, 8274, 813, 5928, 1286, 254, 1470, 15, 264, 2850, 20140, 289, 9939, 1056, 311, 2152, 532, 254, 4445, 1294, 311, 417, 4618, 14, 889, 2063, 890, 27, 25, 16, 1375, 8274, 848, 5928, 1180, 7323, 2153, 327, 403, 3994, 2634, 282, 390, 2850, 20140, 390, 272, 390, 2850, 20140, 311, 417, 2600, 14, 2063, 254, 3196, 289, 9939, 5035, 1294, 276, 436, 1631, 286, 417, 276, 1375, 26395, 15, 34372, 15647, 848, 14, 5564, 15, 3852, 2850, 20140, 8573, 771, 264, 16657, 443, 252, 325, 40278, 250, 314, 74, 9939, 11, 9851, 11422, 12186, 0, 10415, 25054, 311, 248, 309, 13463, 1839, 327, 587, 1545, 368, 282, 1767, 254, 3835, 7094, 274, 633, 3427, 6987, 16, 1822, 368, 452, 282, 513, 311, 3227, 254, 8047, 4680, 633, 5414, 835, 889, 353, 670, 3899, 633, 16947, 282, 915, 843, 353, 587, 1862, 729, 248, 743, 4659, 16, 188, 47500, 15, 21947, 15786, 6443, 311, 248, 4817, 1160, 327, 434, 643, 23663, 3591, 282, 1336, 368, 11779, 286, 7085, 41208, 15, 21947, 931, 16, 380, 3571, 3672, 254, 323, 1282, 15, 13056, 4817, 14, 443, 3164, 15, 5125, 29440, 4817, 286, 26121, 15, 22283, 4817, 16, 188, 14672, 28282, 988, 5026, 369, 3591, 348, 272, 7292, 11934, 2868, 274, 19896, 3357, 324, 25677, 28282, 16, 510, 3357, 22328, 818, 25677, 28282, 954, 79, 4227, 14, 8371, 30998, 286, 954, 188, 47900, 5804, 3912, 15397, 311, 254, 7250, 4832, 1110, 324, 1683, 4076, 663, 961, 282, 4400, 12566, 615, 1193, 7753, 16, 731, 434, 417, 9290, 390, 1837, 15, 6137, 790, 286, 1062, 3364, 3, 47900, 5804, 3912, 15397, 587, 1545, 368, 282, 1493, 665, 7315, 286, 12566, 353, 348, 368, 8106, 16, 188, 13827, 9409, 2790, 1305, 324, 3899, 2752, 24230, 38544, 324, 6987, 343, 3603, 274, 7268, 35750, 286, 7258, 374, 18, 18, 25, 16, 11721, 5564, 1349, 47290, 1545, 980, 2525, 282, 1806, 6987, 1269, 5742, 729, 276, 615, 7716, 2809, 16, 188, 37, 11005, 1275, 9745, 17200, 43771, 38738, 281, 311, 248, 309, 13463, 1839, 327, 369, 4024, 276, 1316, 282, 1336, 368, 1767, 254, 3835, 7094, 274, 633, 9132, 16, 188, 510, 12208, 15363, 3999, 14769, 324, 27976, 5663, 2189, 369, 3446, 282, 1336, 368, 1369, 286, 785, 343, 21379, 3999, 4227, 276, 27976, 5663, 2189, 16, 21379, 3999, 30672, 476, 321, 11263, 1525, 254, 2896, 3514, 16, 21379, 3999, 3106, 476, 321, 20485, 432, 4227, 286, 38919, 16, 188, 9295, 3190, 521, 91, 369, 3591, 348, 272, 12140, 286, 23983, 22350, 42164, 4131, 343, 254, 1336, 274, 254, 13440, 10435, 3335, 16, 188, 21, 4825, 22186, 311, 248, 4589, 15, 32098, 2809, 327, 476, 321, 900, 324, 248, 4474, 2413, 274, 495, 38, 17645, 8663, 14, 348, 963, 348, 331, 9182, 9703, 9603, 390, 28686, 2426, 971, 16, 188, 47, 1282, 1630, 8073, 14416, 311, 272, 7077, 3571, 4024, 282, 1336, 11264, 282, 11779, 254, 4658, 1580, 274, 2110, 1338, 16, 380, 2024, 25766, 763, 3762, 274, 254, 1057, 2069, 2104, 286, 33198, 254, 2462, 276, 425, 6410, 16, 188, 17683, 255, 21947, 311, 248, 23983, 7725, 327, 4343, 4076, 282, 2706, 8988, 15, 9096, 17176, 328, 45266, 38171, 16, 46463, 21947, 311, 272, 1493, 2520, 7725, 327, 369, 4131, 282, 2150, 17176, 327, 476, 321, 900, 282, 17306, 5630, 29678, 3284, 1102, 276, 5606, 15, 21947, 931, 16, 188, 6471, 3243, 357, 1723, 311, 248, 4081, 4817, 324, 254, 12613, 5904, 4076, 327, 872, 282, 4757, 254, 12605, 1460, 432, 26532, 931, 4227, 16, 188, 40, 11699, 264, 6017, 324, 7268, 848, 311, 248, 2525, 15, 19199, 14, 2486, 4589, 15, 32098, 2809, 327, 476, 1336, 368, 4056, 1392, 633, 7753, 286, 818, 729, 1247, 2456, 16, 188, 6847, 3077, 77, 23132, 40441, 31093, 40156, 5961, 248, 867, 274, 1339, 15, 9541, 495, 38, 5493, 282, 1336, 1575, 248, 4829, 15286, 16, 188, 27035, 11712, 311, 248, 23983, 286, 9377, 2811, 4024, 282, 2706, 19263, 4400, 407, 811, 5123, 248, 7419, 1474, 286, 3340, 15, 21369, 16, 1731, 12509, 403, 4131, 960, 254, 4021, 16, 14466, 16, 27576, 16, 3129, 25032, 1296, 16, 188, 510, 399, 17191, 29056, 10514, 369, 23663, 3591, 348, 272, 12140, 286, 23983, 7123, 3821, 324, 4419, 7485, 869, 5135, 274, 1015, 3307, 16, 188, 15269, 4926, 36, 311, 248, 2196, 2809, 327, 476, 1336, 368, 2150, 41744, 3106, 327, 476, 321, 900, 324, 1956, 14, 3893, 390, 32141, 3940, 4898, 15979, 16, 188, 37112, 6014, 11058, 43771, 38738, 281, 311, 248, 309, 13463, 1839, 327, 369, 4024, 276, 1316, 282, 1336, 368, 1767, 254, 3835, 7094, 274, 633, 9132, 16, 188, 19470, 35056, 37001, 11382, 369, 4024, 348, 272, 12140, 286, 4081, 4817, 327, 6806, 348, 248, 7135, 1065, 960, 272, 1732, 41993, 2416, 19302, 324, 42782, 8447, 4535, 16, 188, 510, 401, 1297, 91, 27523, 15, 35, 45941, 3571, 10238, 45941, 274, 4105, 432, 8114, 4995, 314, 3137, 294, 581, 5372, 14, 7854, 14, 15819, 286, 665, 642, 8114, 2080, 16, 380, 3571, 311, 8304, 276, 254, 16769, 45976, 16, 188, 38, 21, 27060, 1186, 311, 248, 309, 13463, 1839, 327, 587, 1545, 368, 282, 1767, 254, 3835, 7094, 274, 633, 3427, 6987, 16, 1822, 368, 452, 282, 513, 311, 3227, 254, 8047, 4680, 633, 5414, 835, 889, 353, 670, 3899, 633, 16947, 282, 915, 843, 353, 587, 1862, 729, 248, 743, 4659, 16, 188, 38, 21, 23736, 252, 1186, 38738, 281, 311, 248, 492, 18708, 1650, 8047, 327, 587, 1545, 368, 282, 1862, 248, 5194, 743, 997, 282, 512, 274, 633, 3427, 6987, 16, 1822, 368, 452, 282, 513, 311, 3227, 254, 8047, 4680, 633, 5414, 286, 889, 353, 324, 3899, 633, 16947, 282, 915, 843, 353, 587, 1767, 615, 7094, 16, 188, 38, 1758, 16286, 311, 248, 492, 18708, 1650, 8047, 327, 587, 1545, 368, 282, 1767, 254, 3835, 7094, 274, 633, 3427, 6987, 16, 1822, 368, 452, 282, 513, 311, 3227, 254, 8047, 4680, 633, 5414, 835, 889, 353, 670, 3899, 633, 16947, 282, 915, 843, 353, 587, 1862, 729, 248, 743, 4659, 16, 188, 27967, 14699, 9851 ]
[ 1, 4059, 61, 24, 63, 647, 4236, 426, 4059, 61, 25, 63, 647, 300, 1747, 65, 3107, 426, 4059, 61, 26, 63, 2621, 603, 14329, 2224, 4739, 390, 4059, 61, 23, 63, 2224, 347, 7628, 11267, 7350, 1356, 926, 3906, 1800, 46843, 10207, 4059, 286, 9908, 1269, 14329, 2621, 603, 14329, 3493, 4466, 4862, 30872, 9, 5064, 926, 3906, 1800, 46843, 24970, 14329, 2621, 603, 295, 16, 8757, 10, 84, 9, 96, 56, 1029, 1358, 6951, 2192, 926, 603, 4466, 4862, 2855, 65, 88, 23077, 5868, 2224, 16247, 28, 1003, 3906, 1800, 46843, 29840, 3963, 603, 593, 6617, 2621, 603, 295, 16, 8757, 10, 84, 9, 24, 25, 23, 15, 1358, 269, 65, 8896, 2192, 926, 3906, 1800, 46843, 6031, 50, 2339, 5525, 4748, 2932, 2856, 24054, 8647, 2621, 1800, 16574, 16048, 647, 4305, 65, 4259, 426, 4059, 61, 19, 18, 63, 390, 14661, 2621, 5574, 65, 18655, 426, 7456, 1925, 10, 18, 16, 18, 11, 647, 6259, 65, 18655, 426, 7456, 1925, 10, 18, 16, 18, 11, 2621, 603, 20288, 65, 7665, 16, 5318, 2076, 335, 1551, 47268, 4, 2192, 926, 6259, 65, 18655, 426, 7456, 1925, 10, 18655, 11, 2621, 603, 20288, 65, 7665, 16, 5318, 2076, 335, 1551, 34156, 273, 4, 2192, 926, 5574, 65, 18655, 426, 7456, 1925, 10, 18655, 11, 2621, 628, 426, 550, 926, 684, 3107, 5141, 269, 65, 8896, 14, 926, 684, 5401, 5141, 269, 65, 5401, 14, 926, 684, 1747, 71, 65, 3107, 5141, 300, 1747, 65, 3107, 14, 926, 684, 30872, 5141, 14329, 14, 926, 684, 13878, 5141, 6951, 14, 926, 684, 12710, 454, 65, 40941, 5141, 5035, 65, 40941, 14, 926, 684, 17260, 65, 18655, 5141, 5574, 65, 18655, 14, 926, 684, 34418, 65, 18655, 5141, 6259, 65, 18655, 14, 926, 684, 1945, 65, 875, 5141, 269, 65, 875, 390, 347, 38299, 985, 926, 684, 15222, 65, 3107, 5141, 4305, 65, 4259, 14, 926, 684, 262, 65, 24982, 1013, 5141, 314, 734, 61, 19, 19, 63, 2224, 347, 59, 2719, 647, 744, 2621, 4105, 16, 9436, 10, 1945, 11, 1465, 1076, 4105, 534, 188, 2360, 15318, 10, 8702, 11767, 2192, 1465, 1336, 426, 347, 3243, 3991, 3316, 27616, 58, 4105, 5287, 4, 1465, 804, 818, 65, 30011, 10, 1262, 14, 21435, 2192, 647, 21435, 16, 1855, 65, 23297, 2012, 5310, 3839, 1358, 1479, 31, 1320, 11, 647, 21435, 16, 1855, 65, 23297, 2012, 30872, 1358, 1479, 31, 1320, 11, 2621, 21435, 16, 1855, 65, 23297, 10, 926, 684, 284, 10889, 65, 82, 5236, 1358, 926, 2181, 5313, 11548, 65, 5508, 1358, 926, 1336, 5313, 10946, 628, 7702, 276, 18980, 1358, 647, 2312, 2621, 21435, 16, 1855, 65, 23297, 10, 926, 684, 284, 2855, 65, 88, 23077, 1358, 926, 2181, 5313, 11548, 65, 5508, 1358, 926, 1336, 5313, 18652, 29840, 4105, 1358, 647, 2312, 1465, 804, 5846, 10, 1262, 14, 475, 8626, 14, 1375, 9854, 2192, 2621, 343, 1493, 10, 9854, 4862, 5310, 3839, 15993, 743, 1259, 5313, 3291, 348, 4105, 5310, 28, 926, 9166, 426, 41450, 16, 27051, 10, 30238, 5310, 14, 36899, 2480, 31, 1358, 1358, 14036, 3495, 5313, 4, 3291, 926, 4105, 426, 1213, 65, 30238, 10, 27051, 14, 1375, 9854, 11, 926, 40113, 65, 40827, 16, 258, 14092, 10, 2855, 65, 30238, 14, 4105, 14, 1375, 9854, 11, 2621, 7481, 16, 329, 4352, 10, 9854, 4862, 5310, 3839, 22673, 188, 0, 5, 21081, 758, 272, 20082, 1493, 2520, 7771, 428, 915, 21167, 188, 188, 3933, 27303, 1369, 475, 188, 2855, 35553, 348, 15313, 188, 2855, 658, 531, 91, 16, 2046, 5530, 348, 38943, 188, 2855, 658, 531, 91, 16, 31397, 899, 348, 1104, 188, 3933, 658, 531, 91, 16, 13520, 366, 1369, 9592, 188, 3933, 658, 531, 91, 16, 21837, 1369, 4717, 256, 24424, 586, 14, 35014, 1153, 18349, 534, 188, 1510, 930, 65, 16242, 10, 1911, 262, 1153, 301, 14, 1175, 15985, 65, 455, 2192, 477, 40369, 1465, 1676, 17380, 1083, 254, 21588, 8192, 47040, 432, 2379, 1735, 286, 3809, 254, 477, 28792, 43776, 33431, 274, 1004, 16, 3805, 1004, 25640, 311, 276, 272, 477, 3656, 2840, 407, 695, 1193, 1921, 14, 254, 40038, 872, 282, 321, 2584, 713, 2320, 477, 670, 6069, 888, 713, 254, 6131, 3656, 16, 1465, 30875, 477, 15765, 477, 5050, 262, 1153, 301, 1146, 1581, 647, 3162, 1514, 15965, 274, 254, 21588, 1999, 8192, 47040, 477, 1175, 15985, 65, 455, 1146, 35553, 16, 2046, 3604, 647, 10436, 3656, 343, 512, 2379, 8192, 47040, 16, 1465, 16094, 477, 13640, 477, 930, 65, 16242, 65, 455, 1146, 35553, 16, 2046, 3604, 647, 330, 28792, 43776, 33431, 274, 512, 274, 254, 8192, 47040, 5514, 16, 477, 930, 65, 16242, 65, 31827, 1146, 1581, 647, 3162, 1514, 254, 28792, 43776, 33431, 274, 1004, 647, 1999, 28518, 16, 477, 40369, 1465, 930, 65, 16242, 65, 31827, 426, 7954, 1465, 324, 1591, 294, 65, 3192, 276, 5050, 262, 1153, 301, 28, 647, 603, 15313, 16, 3958, 10, 3212, 294, 65, 3192, 11, 2170, 338, 28, 926, 1591, 294, 65, 3192, 61, 18116, 16, 2723, 10, 3212, 294, 65, 3192, 2170, 338, 8866, 426, 338, 647, 930, 65, 16242, 65, 31827, 16, 9436, 10, 926, 38943, 16, 19316, 65, 16242, 65, 265, 86, 10, 18116, 16, 2720, 474, 65, 1410, 10, 3212, 294, 65, 3192, 10409, 1465, 1800, 43776, 33431, 274, 512, 21588, 30237, 477, 930, 65, 16242, 65, 455, 426, 38943, 16, 19316, 65, 16242, 65, 265, 86, 10, 647, 15313, 16, 2720, 474, 65, 1410, 10, 4922, 15985, 65, 455, 1210, 1465, 1076, 930, 65, 16242, 65, 455, 14, 930, 65, 16242, 65, 31827, 534, 188, 1510, 10500, 65, 7443, 10, 19316, 14, 1927, 65, 14327, 14, 23008, 65, 32093, 2192, 477, 40369, 1465, 401, 943, 254, 14201, 6051, 274, 25640, 282, 248, 23229, 1530, 477, 314, 2798, 1732, 92, 277, 1318, 753, 1145, 356, 16, 314, 20, 18, 19, 19, 4878, 1465, 30875, 477, 15765, 477, 4047, 1146, 1581, 647, 3535, 1915, 432, 254, 28518, 16, 477, 1927, 65, 14327, 1146, 1581, 647, 4318, 2655, 2127, 432, 254, 2382, 16, 477, 23008, 65, 32093, 1146, 8035, 647, 401, 43334, 274, 254, 8104, 1921, 16, 1465, 16094, 477, 13640, 477, 4793, 1146, 35553, 16, 2046, 3604, 647, 39055, 2127, 16 ]
[ 1, 671, 670, 22137, 11761, 403, 328, 248, 12446, 15, 12700, 1756, 345, 2790, 16, 188, 18636, 404, 457, 85, 2196, 8189, 3017, 555, 643, 248, 2675, 274, 254, 6795, 276, 3225, 1090, 286, 555, 4671, 282, 5481, 276, 254, 338, 26, 2524, 1544, 254, 22137, 6101, 16, 188, 35, 2442, 274, 254, 7997, 25589, 14, 254, 23439, 7917, 327, 19942, 650, 5884, 407, 624, 683, 607, 18, 18, 14, 18, 18, 18, 276, 254, 1689, 763, 1090, 14, 532, 254, 6151, 8219, 432, 254, 7258, 324, 3206, 22632, 2607, 248, 2871, 274, 338, 26, 20, 14, 18, 18, 18, 869, 254, 4029, 282, 4087, 2114, 274, 374, 18, 19, 24, 286, 254, 1057, 1241, 2524, 276, 374, 18, 19, 25, 16, 34170, 369, 597, 407, 374, 25, 27, 14, 18, 18, 18, 687, 254, 1057, 2114, 1205, 254, 2545, 1391, 2210, 555, 13179, 282, 576, 16, 21, 5140, 695, 8612, 1544, 338, 27, 25, 23, 16, 188, 510, 6151, 473, 4732, 931, 2449, 688, 7664, 327, 254, 7180, 24203, 555, 7389, 2059, 561, 1527, 254, 3355, 3374, 276, 3017, 276, 254, 801, 2630, 274, 374, 18, 19, 25, 16, 380, 1162, 274, 942, 276, 785, 687, 254, 1241, 2524, 282, 4257, 6323, 407, 338, 22, 14, 18, 18, 18, 1091, 254, 801, 10073, 1544, 4028, 374, 18, 19, 21, 16, 496, 695, 6151, 16455, 14, 254, 3781, 7258, 324, 30559, 25358, 2250, 749, 353, 3159, 254, 19942, 2210, 282, 4873, 597, 282, 576, 16, 22, 7, 276, 374, 18, 19, 27, 286, 282, 576, 16, 24, 7, 276, 374, 18, 20, 18, 16, 188, 35, 4868, 274, 1468, 17536, 759, 3017, 286, 10718, 8189, 555, 8326, 4924, 17539, 14, 532, 254, 944, 3225, 8219, 432, 254, 473, 4732, 1102, 327, 3340, 590, 4813, 4168, 9211, 407, 470, 16, 27, 7, 869, 254, 1250, 286, 2543, 19325, 274, 374, 18, 19, 25, 16, 188, 4630, 8935, 6811, 749, 626, 497, 7664, 274, 6750, 44315, 276, 2110, 18903, 14, 1648, 324, 33457, 10582, 830, 254, 4472, 4351, 555, 1444, 607, 20, 14, 18, 18, 18, 5644, 13631, 16, 826, 555, 8649, 597, 17077, 276, 254, 8548, 14, 343, 688, 15806, 8920, 38612, 286, 9787, 34747, 274, 597, 282, 374, 18, 7, 328, 615, 2546, 4009, 276, 1316, 282, 6255, 743, 5655, 16, 188, 510, 27924, 555, 669, 44162, 254, 11543, 5886, 282, 2411, 254, 5427, 457, 85, 19658, 3396, 16687, 14, 1373, 433, 328, 748, 2984, 8935, 1869, 254, 769, 26764, 258, 18490, 666, 324, 254, 33457, 4351, 22426, 432, 3605, 31190, 282, 35769, 5848, 36455, 286, 3701, 8645, 16, 3683, 4273, 276, 254, 8548, 452, 643, 769, 17260, 82, 4687, 666, 5655, 14, 2474, 282, 388, 777, 14, 1899, 282, 11333, 687, 22137, 14, 407, 15002, 729, 597, 282, 9665, 12362, 6214, 274, 2470, 374, 18, 19, 27, 16, 188, 510, 34980, 6625, 1141, 86, 1147, 3737, 248, 1280, 328, 7738, 4419, 327, 580, 276, 338, 18, 274, 9389, 457, 85, 5655, 1649, 276, 4936, 30379, 1364, 802, 532, 756, 580, 15, 24675, 394, 274, 729, 1652, 254, 769, 2523, 15, 395, 15, 67, 2630, 666, 14670, 324, 615, 4325, 2942, 16, 188, 510, 3768, 274, 6000, 2367, 30379, 555, 13179, 432, 338, 25, 7, 276, 338, 27, 27, 25, 282, 338, 18, 7, 276, 374, 18, 19, 24, 14, 254, 1141, 86, 1147, 749, 14, 6069, 327, 254, 14670, 4936, 687, 16151, 4009, 573, 669, 10821, 3811, 16, 188, 34727, 274, 1093, 2430, 4936, 30379, 11042, 248, 14670, 274, 387, 1824, 338, 18, 7, 1364, 802, 314, 3374, 432, 719, 19, 7, 276, 338, 27, 27, 25, 581, 1205, 374, 18, 7, 274, 1093, 2430, 30379, 1652, 769, 2523, 286, 248, 2630, 666, 314, 3374, 432, 374, 23, 10686, 0, 34709, 311, 248, 479, 17915, 324, 10711, 3395, 16, 26076, 4123, 10563, 2328, 254, 30375, 5530, 282, 7580, 555, 2411, 248, 2298, 274, 248, 502, 469, 854, 16, 1547, 1663, 282, 751, 3542, 276, 695, 24258, 9931, 14, 282, 1741, 387, 36546, 15224, 266, 286, 14, 276, 2094, 14, 3236, 324, 254, 2803, 274, 254, 2758, 282, 785, 695, 10439, 328, 729, 348, 353, 555, 2152, 324, 593, 1125, 2489, 16, 188, 1931, 626, 311, 1495, 2169, 274, 9306, 16, 380, 2169, 663, 2427, 457, 86, 872, 282, 1663, 282, 7580, 282, 7500, 2251, 974, 596, 2102, 452, 353, 16, 9946, 67, 18960, 608, 46672, 14, 6623, 286, 16565, 14, 311, 327, 2169, 274, 9306, 16, 188, 25165, 608, 46672, 4255, 282, 7580, 276, 374, 18, 18, 25, 432, 616, 7716, 10586, 14, 282, 1240, 15897, 3847, 387, 254, 16830, 69, 1282, 3330, 5930, 38263, 16, 1268, 436, 369, 811, 272, 15817, 14, 701, 1430, 1331, 14, 974, 701, 573, 643, 593, 769, 36448, 666, 512, 274, 616, 1464, 16, 2003, 8075, 2144, 343, 8747, 286, 10637, 28, 701, 2865, 801, 17263, 324, 616, 5805, 785, 387, 1241, 17877, 14, 1241, 1090, 276, 248, 4059, 16, 1469, 4671, 282, 3223, 7223, 16161, 276, 616, 5537, 1464, 24261, 10117, 254, 3746, 17263, 324, 616, 1193, 1683, 11, 286, 3285, 248, 9475, 274, 10066, 1091, 512, 274, 436, 407, 254, 2289, 274, 10215, 16, 188, 9334, 841, 9619, 254, 3439, 8499, 25088, 67, 30150, 399, 17263, 276, 10586, 14, 701, 369, 7183, 282, 3437, 616, 2251, 286, 616, 1390, 3108, 324, 248, 1464, 276, 6010, 16, 380, 2843, 573, 643, 328, 254, 888, 14408, 255, 324, 1090, 532, 353, 3297, 1034, 1063, 327, 16, 3928, 6935, 13499, 6754, 276, 6010, 670, 18960, 608, 46672, 369, 248, 1612, 3122, 14, 286, 701, 650, 4615, 17212, 9024, 432, 23446, 6355, 925, 1896, 390, 7580, 16, 10586, 369, 4438, 282, 5475, 26300, 276, 254, 15514, 25, 18, 85, 286, 15514, 26, 18, 85, 14, 286, 18960, 608, 46672, 12311, 14, 616, 2836, 6024, 597, 14, 327, 353, 369, 769, 2927, 279, 38115, 12443, 666, 1091, 254, 3056, 8171, 561, 324, 14658, 14, 11387, 407, 248, 884, 1344, 891, 386, 21191, 1091, 1033, 671, 701, 5325, 597, 616, 31772, 274, 4959, 1464, 16, 3928, 18764, 27274, 17690, 1503, 1754, 327, 1464, 276, 9707, 650, 452, 18415, 616, 1755, 1091, 3657, 21026, 282, 254, 948, 327, 701, 555, 8518, 23798 ]
[ 1, 282, 5598, 248, 42314, 324, 7732, 774, 2023, 327, 14, 603, 254, 35000, 30382, 1595, 254, 3427, 2662, 14, 254, 3427, 2662, 587, 321, 3994, 348, 272, 5598, 274, 254, 42314, 324, 1572, 4280, 16, 0, 11478, 10938, 9015, 555, 643, 44308, 348, 248, 1247, 4363, 5911, 276, 7969, 19658, 1912, 4163, 327, 555, 254, 2365, 282, 10233, 34601, 14, 3637, 8940, 1707, 328, 6750, 2499, 683, 501, 8938, 14, 286, 751, 1444, 254, 30178, 274, 19658, 14654, 663, 15444, 366, 2502, 942, 663, 997, 390, 765, 747, 729, 16, 31516, 327, 3831, 819, 5493, 452, 643, 13694, 273, 1093, 5215, 14, 286, 624, 18118, 403, 8353, 282, 11032, 282, 1336, 7730, 1392, 615, 25940, 16, 188, 1931, 248, 1280, 436, 2065, 407, 23428, 668, 272, 5497, 2133, 387, 10274, 282, 889, 11032, 286, 12983, 9015, 282, 12099, 5655, 369, 248, 23609, 327, 1205, 819, 1017, 15, 17061, 3432, 457, 86, 1845, 248, 16044, 15, 455, 16, 188, 510, 23428, 1280, 749, 327, 254, 4817, 1912, 272, 3259, 327, 369, 658, 27056, 407, 254, 1242, 274, 1364, 802, 1912, 369, 9899, 282, 7275, 25925, 407, 20149, 5957, 276, 501, 8938, 9017, 687, 338, 18, 1090, 14, 944, 274, 533, 2144, 432, 1770, 16, 380, 975, 7856, 769, 885, 9669, 3038, 327, 4935, 8940, 497, 28194, 1756, 2474, 282, 23428, 14, 1648, 28645, 2912, 501, 8938, 327, 2818, 254, 3056, 769, 30314, 457, 85, 666, 390, 30201, 432, 763, 512, 15, 30314, 457, 85, 23493, 16, 731, 669, 369, 10601, 3512, 8940, 663, 497, 440, 27758, 324, 254, 9253, 16, 496, 272, 46391, 3782, 14, 248, 2485, 33728, 749, 769, 2440, 369, 1582, 900, 407, 10274, 12099, 398, 282, 7275, 8940, 449, 188, 9334, 2101, 3340, 432, 254, 4817, 3470, 457, 86, 900, 282, 7275, 8940, 14, 25282, 286, 8381, 663, 1240, 254, 12983, 9015, 276, 19658, 1309, 254, 6932, 311, 248, 9477, 668, 843, 819, 4163, 476, 321, 900, 16, 188, 41085, 7548, 749, 254, 889, 274, 12983, 9015, 286, 931, 5692, 276, 26762, 555, 8010, 432, 4163, 327, 8300, 14186, 501, 8938, 324, 27733, 1912, 3647, 834, 254, 2824, 3005, 274, 19658, 1912, 282, 18374, 254, 12132, 274, 248, 2485, 457, 85, 1640, 33685, 286, 835, 769, 27298, 666, 843, 282, 3637, 25925, 9, 501, 8938, 390, 19622, 282, 729, 16, 3683, 403, 1438, 1949, 14, 960, 12983, 9015, 282, 1574, 286, 5228, 22798, 2964, 15, 15683, 286, 756, 3217, 276, 7300, 387, 254, 1364, 3109, 276, 254, 1213, 16, 188, 1304, 5926, 254, 2835, 274, 843, 580, 2485, 8123, 327, 942, 432, 248, 2110, 46746, 2063, 15416, 624, 2156, 14, 3061, 974, 274, 3248, 35067, 2008, 14, 286, 4285, 353, 369, 1438, 282, 3408, 42477, 942, 432, 327, 46746, 2063, 16, 188, 1590, 1253, 596, 1848, 457, 86, 1354, 713, 2320, 369, 626, 457, 85, 248, 18286, 3163, 2362, 46746, 11330, 16, 6971, 5711, 274, 6000, 286, 8940, 3285, 1181, 1637, 10827, 928, 345, 749, 14, 38476, 729, 282, 40595, 15813, 2330, 3778, 274, 942, 274, 3189, 1063, 596, 14630, 254, 10275, 16, 188, 45, 288, 377, 749, 248, 6453, 2152, 276, 2318, 374, 18, 19, 26, 274, 4273, 443, 435, 1198, 2893, 343, 1102, 327, 576, 21, 2476, 2287, 960, 272, 5764, 282, 1041, 248, 19658, 2964, 16, 496, 4679, 512, 274, 1093, 2153, 14, 254, 5764, 650, 6458, 248, 769, 18349, 666, 327, 19658, 14654, 807, 1354, 713, 2320, 670, 2328, 2379, 6902, 14, 343, 1910, 3175, 14, 328, 5054, 282, 15813, 16, 188, 29353, 252, 3904, 406, 285, 14, 272, 13010, 11336, 276, 36851, 2421, 457, 85, 8118, 6693, 7605, 663, 555, 2152, 2479, 328, 843, 11032, 476, 321, 25097, 1060, 594, 29518, 276, 19658, 8112, 14, 749, 580, 1840, 311, 327, 254, 6758, 931, 476, 321, 22798, 16, 740, 5764, 9899, 282, 3637, 8940, 282, 1708, 33685, 774, 321, 1707, 328, 2949, 9856, 327, 3622, 403, 22798, 14, 6524, 282, 14654, 663, 2210, 942, 2103, 390, 16607, 327, 6231, 457, 86, 8419, 8993, 16, 188, 39651, 12148, 248, 13438, 869, 248, 4817, 327, 457, 85, 4131, 276, 15, 5798, 286, 1497, 329, 2620, 931, 328, 501, 8938, 9017, 282, 580, 2485, 286, 3238, 13443, 327, 14698, 931, 432, 9529, 274, 5655, 16, 188, 5910, 4273, 8920, 12983, 9015, 5493, 324, 19658, 1309, 596, 457, 251, 6919, 539, 1538, 328, 22948, 8269, 16, 367, 1088, 6671, 85, 14, 324, 4090, 14, 533, 555, 25925, 3316, 6377, 20910, 15, 3066, 769, 37948, 666, 327, 2475, 13421, 747, 3983, 14, 13077, 15126, 1823, 14, 286, 843, 942, 5641, 561, 32911, 14, 2225, 819, 5493, 476, 321, 624, 15527, 274, 2196, 289, 2645, 683, 20428, 931, 14, 533, 353, 2427, 457, 86, 2408, 276, 695, 1735, 274, 8940, 387, 512, 16, 188, 1130, 669, 3695, 943, 695, 11032, 14, 10657, 254, 1508, 274, 1015, 8419, 14, 14649, 286, 15729, 2315, 286, 835, 40761, 254, 1508, 769, 26453, 3997, 555, 272, 4363, 4688, 274, 7922, 729, 1756, 749, 13189, 91, 22139, 500, 404, 14, 367, 1088, 6671, 85, 9, 1450, 274, 1830, 16, 188, 17769, 6105, 443, 1203, 14218, 7186, 14, 663, 5480, 248, 1910, 5189, 3819, 387, 6132, 26580, 442, 14, 749, 327, 457, 85, 11231, 282, 2411, 7361, 900, 16, 0, 1675, 1787, 274, 12976, 311, 8814, 282, 3064, 772, 801, 7760, 25878, 16, 10419, 16, 45597, 366, 16, 11100, 255, 286, 16586, 2288, 276, 12976, 25372, 16, 839, 29187, 607, 18, 13, 11100, 398, 14, 22017, 85, 286, 8832, 7763, 398, 282, 7829, 16, 1664, 587, 321, 374, 7746, 55, 8856, 14, 2741, 26239, 282, 4017, 35596, 668, 633, 3462, 14, 348, 963, 348, 9676, 22521, 671, 16, 0, 35, 15407, 2239, 1572, 460, 2170, 1572, 1005, 2939, 13637, 2640, 890, 18, 18, 2122, 367, 36898, 38865, 16, 890, 18, 18, 90, 26, 18, 18, 2122, 16, 188, 16746, 12069, 16381, 34221, 343, 890, 18, 18, 2122, 25493, 3260, 16, 890, 18, 18, 90, 26, 18, 18, 2122, 16, 0, 1516, 311, 248, 20253, 9299, 1844, 387, 20855, 39, 4141, 532, 4674, 561, 387, 8675, 4235, 742, 13416, 16, 20855, 39, 4141, 14, 314, 18048, 250, 5465, 2659, 312, 32100, 4039, 2841, 288, 38895, 4548, 11, 311, 248, 38783 ]
[ 1, 452, 5444, 254, 11959, 614, 963, 276, 254, 2391, 14, 653, 1554, 12849, 188, 7470, 587, 321, 2464, 274, 368, 1037, 1181, 624, 16, 188, 39, 263, 10119, 73, 2225, 28, 9315, 751, 282, 443, 409, 79, 1207, 20828, 4800, 12249, 14, 653, 1554, 12849, 188, 510, 9693, 13245, 23597, 432, 254, 278, 3988, 387, 254, 3093, 267, 6748, 9, 275, 14782, 792, 282, 3858, 254, 20828, 16, 22519, 254, 1026, 403, 2254, 7317, 7609, 274, 2141, 735, 304, 4041, 14, 5995, 20644, 1798, 21426, 14, 5848, 29245, 7609, 14, 4529, 9, 36102, 39582, 14, 26967, 2010, 2005, 37175, 286, 15858, 79, 3393, 7609, 1912, 688, 274, 729, 17294, 16, 188, 27088, 10638, 2141, 735, 304, 4041, 14, 353, 311, 4607, 327, 1594, 311, 1062, 3320, 16, 380, 29306, 14, 42711, 14, 9393, 1037, 3997, 311, 7290, 286, 6008, 3238, 443, 409, 79, 1207, 20828, 16, 15159, 535, 323, 4271, 72, 605, 311, 6008, 348, 963, 14, 276, 2824, 274, 254, 4438, 10723, 282, 254, 20828, 16, 188, 3852, 735, 304, 4041, 1939, 2022, 2225, 28, 310, 4143, 843, 1181, 3248, 596, 1782, 2445, 16, 188, 35, 14283, 47409, 399, 14441, 2158, 2225, 28, 7560, 3, 1638, 626, 1594, 3320, 33, 188, 40994, 26367, 274, 5848, 29245, 2225, 28, 1638, 254, 4183, 687, 33, 188, 39212, 79, 3393, 45527, 2225, 28, 310, 2950, 688, 274, 729, 1076, 16, 731, 1848, 625, 997, 1157, 16, 188, 20365, 26367, 274, 5995, 20644, 2225, 28, 1638, 254, 411, 1099, 2691, 33278, 33, 188, 1031, 4384, 2010, 2005, 17679, 2225, 28, 1638, 3997, 33278, 33, 188, 39212, 79, 3393, 45527, 2225, 28, 310, 3409, 3148, 311, 33278, 16, 188, 18145, 9, 36102, 13384, 3675, 2225, 28, 1691, 4448, 387, 4669, 3492, 34446, 33, 188, 510, 10723, 282, 443, 409, 79, 1207, 20828, 452, 643, 17963, 16, 380, 6851, 274, 254, 11959, 614, 1339, 321, 6702, 3, 188, 12510, 479, 3198, 443, 409, 79, 1207, 20828, 16, 188, 35356, 427, 29546, 403, 1225, 14, 3584, 254, 6851, 14, 314, 779, 7522, 8627, 11, 444, 263, 10119, 73, 14, 1472, 264, 36507, 293, 656, 14, 21314, 5486, 7667, 16208, 85, 14, 26967, 2010, 2005, 12608, 307, 14, 286, 444, 435, 858, 21972, 1572, 14576, 14, 348, 963, 348, 1241, 33172, 463, 7575, 28618, 4526, 14, 13797, 28582, 286, 44139, 2051, 14244, 18092, 16, 188, 1853, 254, 9693, 13245, 16306, 713, 254, 2244, 14, 31038, 625, 3190, 275, 7613, 286, 26878, 615, 12668, 16, 188, 46, 264, 625, 3190, 275, 20148, 252, 2225, 28, 411, 1099, 2691, 3, 380, 653, 2360, 32, 368, 1869, 324, 555, 7053, 16, 839, 756, 13914, 323, 10368, 285, 1012, 16, 188, 14846, 9, 36102, 2225, 28, 14919, 14, 653, 1554, 9718, 353, 434, 1037, 1157, 13692, 2144, 16, 6683, 321, 1037, 1382, 80, 250, 9, 2094, 16, 188, 36, 6355, 13784, 1647, 1153, 2225, 28, 1258, 479, 1052, 276, 618, 20049, 398, 14, 411, 1099, 2691, 16, 5243, 10502, 1339, 321, 20224, 3, 188, 14846, 9, 36102, 2225, 28, 21326, 3447, 324, 2768, 14, 13784, 1647, 1153, 16, 3086, 1652, 580, 1037, 2379, 6954, 16, 15113, 915, 2768, 4068, 11959, 614, 1037, 19354, 2196, 16, 188, 46, 264, 625, 3190, 275, 20148, 252, 2225, 28, 380, 20333, 3542, 695, 6776, 328, 254, 4669, 3492, 34446, 16, 7644, 942, 3387, 561, 324, 42847, 16, 188, 44, 75, 8498, 82, 1377, 2225, 28, 839, 872, 729, 6919, 328, 37297, 254, 34839, 14, 417, 24417, 2093, 1668, 23532, 85, 16, 188, 18018, 26386, 330, 676, 285, 4013, 251, 10921, 2225, 28, 2666, 2960, 276, 254, 20181, 250, 7407, 8375, 479, 2110, 2672, 274, 254, 6284, 274, 10781, 403, 1493, 282, 30209, 254, 11959, 614, 888, 713, 17839, 21079, 16, 188, 14846, 9, 36102, 2225, 28, 12441, 434, 1157, 16, 330, 8041, 832, 1037, 6327, 2871, 1037, 684, 1391, 360, 14000, 597, 2768, 26000, 16, 188, 2219, 792, 12490, 443, 594, 89, 887, 2225, 28, 2010, 12117, 32049, 3, 5932, 961, 252, 12192, 1037, 626, 434, 641, 11216, 276, 353, 3, 188, 36, 6355, 13784, 1647, 1153, 2225, 28, 839, 21587, 1074, 248, 1026, 282, 4306, 888, 254, 34839, 14, 411, 1099, 2691, 16, 826, 360, 23389, 3, 188, 53, 10368, 285, 16306, 713, 254, 2244, 16, 188, 46, 264, 625, 3190, 275, 20148, 252, 2225, 28, 380, 378, 507, 30478, 11313, 311, 1045, 14, 6663, 9, 36102, 16, 1691, 311, 353, 368, 2980, 282, 1970, 441, 33, 188, 19387, 3492, 34446, 369, 811, 254, 4917, 16, 380, 20333, 587, 24188, 4373, 16, 10031, 254, 4954, 14, 596, 587, 9709, 670, 360, 403, 4924, 16, 188, 53, 10368, 285, 16479, 282, 2849, 1949, 713, 254, 2244, 14, 254, 2120, 10723, 10902, 3108, 616, 1205, 6663, 9, 36102, 555, 248, 21930, 273, 4793, 16, 6663, 9, 36102, 9263, 282, 3856, 16, 188, 53, 10368, 285, 9470, 7793, 282, 254, 22668, 16, 188, 14846, 9, 36102, 28, 11746, 2271, 67, 19274, 1309, 2393, 587, 1703, 479, 3402, 16, 188, 39041, 323, 10368, 285, 16579, 27952, 28, 496, 254, 980, 14, 2393, 3790, 441, 512, 16, 188, 39041, 323, 10368, 285, 16579, 27952, 28, 1268, 254, 11959, 614, 587, 3051, 328, 16, 188, 14846, 9, 36102, 9517, 16, 323, 10368, 285, 4417, 6134, 387, 616, 6136, 348, 6663, 9, 36102, 434, 5937, 2069, 311, 1938, 2584, 1919, 328, 248, 7474, 5161, 407, 378, 6355, 286, 31038, 625, 3190, 275, 16, 380, 6029, 835, 2462, 282, 6663, 9, 36102, 434, 6024, 20292, 7048, 251, 3238, 248, 2286, 15, 2523, 2141, 735, 304, 4041, 14, 343, 323, 10368, 285, 9999, 254, 7048, 251, 16, 188, 39041, 323, 10368, 285, 16579, 27952, 28, 6663, 9, 36102, 311, 3720, 16, 188, 2899, 835, 7613, 282, 2377, 254, 942, 274, 254, 11959, 614, 16, 188, 39041, 323, 10368, 285, 16579, 27952, 28, 8229, 2124, 368, 587, 1336, 479, 31177, 463, 775, 33, 188, 3602, 38697, 615, 716, 291, 286, 2654, 713, 43183, 274, 347, 1507, 6663, 9, 36102, 4, 286, 347, 1507, 254, 11959, 614, 1445, 188, 9928, 452, 12680, 387, 254, 3093, 267, 6748, 9, 275, 14782, 792, 811, 3238, 2141, 735, 304, 4041, 282, 2014, 615, 2379, 22292, 282, 6663, 9, 36102, 16, 380 ]
[ 1, 14500, 34986, 398, 16, 188, 510, 3798, 311, 867, 387, 254, 750, 28375, 7134, 830, 254, 576, 27, 398, 587, 1354, 328, 254, 45829, 328, 4257, 374, 18, 16, 740, 31745, 1874, 14, 254, 427, 31730, 476, 1767, 254, 2377, 274, 254, 3637, 1525, 2819, 16, 45577, 865, 327, 14209, 311, 15842, 387, 254, 4852, 10483, 576, 27, 398, 3637, 14, 533, 311, 2075, 596, 403, 25680, 282, 4349, 4852, 10483, 576, 27, 398, 21445, 14583, 16, 23948, 328, 8178, 14, 374, 18, 19, 23, 1503, 321, 254, 802, 670, 254, 20585, 3648, 3217, 1683, 1495, 10120, 16, 4886, 457, 86, 2891, 254, 2181, 3051, 286, 1663, 1305, 254, 576, 27, 398, 16, 0, 15834, 1514, 1265, 382, 2886, 276, 254, 8534, 14, 31849, 17349, 3617, 286, 43709, 1665, 428, 3762, 274, 4204, 1719, 1064, 8752, 35913, 1663, 282, 2482, 670, 360, 1141, 668, 254, 842, 491, 2524, 274, 254, 802, 16, 532, 641, 2563, 1826, 276, 254, 8534, 15, 31717, 14299, 390, 254, 2019, 5976, 14, 43709, 36486, 14, 15356, 286, 439, 21681, 273, 36826, 5256, 272, 6571, 15, 1072, 14667, 997, 16, 432, 980, 15, 22078, 374, 18, 19, 26, 282, 4122, 15, 21733, 374, 18, 19, 26, 14, 254, 17216, 8823, 10872, 16262, 14400, 254, 8534, 15356, 1590, 10583, 659, 368, 1919, 713, 248, 30695, 8752, 4143, 1348, 16, 0, 43, 715, 417, 248, 17551, 1058, 1941, 753, 390, 12120, 382, 286, 1041, 641, 3790, 282, 254, 9947, 16, 17307, 457, 85, 14632, 3095, 286, 12775, 403, 4311, 282, 254, 1999, 16, 1395, 403, 8903, 5346, 324, 512, 6902, 26900, 282, 633, 1738, 16, 188, 41, 15, 13953, 6132, 7356, 315, 311, 248, 4698, 274, 19653, 327, 618, 1963, 286, 310, 5838, 286, 4126, 29, 353, 311, 3427, 286, 4061, 324, 44521, 6206, 756, 16, 443, 15, 13953, 6132, 7356, 315, 1042, 417, 2023, 3615, 390, 4181, 7338, 16, 188, 510, 1460, 328, 443, 15, 13953, 6132, 7356, 315, 311, 417, 5864, 348, 14, 4402, 933, 353, 321, 2696, 248, 16048, 324, 14, 5537, 3615, 7338, 14, 13610, 14, 5950, 14, 25003, 14, 390, 1914, 274, 665, 2169, 16, 188, 510, 1460, 328, 443, 15, 13953, 6132, 7356, 315, 311, 2449, 1269, 665, 22881, 16, 24881, 7500, 254, 7338, 274, 633, 12524, 390, 1495, 11835, 1738, 11399, 343, 665, 3418, 368, 774, 452, 4850, 248, 3615, 1580, 16, 8783, 26767, 5537, 3615, 7338, 390, 5613, 8222, 353, 974, 274, 1594, 368, 452, 1218, 328, 443, 15, 13953, 6132, 7356, 315, 16, 13157, 3615, 17485, 432, 248, 16753, 12524, 933, 321, 2709, 1063, 4917, 390, 25386, 665, 6025, 14, 5598, 14, 390, 14486, 2024, 14, 286, 633, 12524, 933, 321, 7976, 274, 512, 21322, 2462, 16, 380, 1460, 328, 443, 15, 13953, 6132, 7356, 315, 311, 282, 321, 900, 387, 633, 1193, 2417, 1707, 328, 633, 3757, 16, 1395, 5307, 2057, 8075, 286, 9520, 324, 633, 5077, 16, 188, 41, 15, 13953, 6132, 7356, 315, 1042, 417, 11882, 327, 254, 12347, 6930, 276, 665, 274, 254, 19653, 403, 35995, 1903, 16, 1286, 368, 452, 248, 2653, 35995, 14, 368, 933, 3533, 1826, 368, 403, 25978, 282, 254, 12347, 276, 1004, 13242, 286, 417, 10443, 328, 7043, 327, 248, 1748, 13242, 311, 32434, 1903, 14, 22055, 1903, 14, 5660, 1903, 14, 18622, 1903, 14, 390, 1903, 274, 665, 642, 1841, 24281, 258, 16, 24881, 946, 4848, 2653, 10602, 9347, 670, 13454, 2653, 16, 188, 1516, 4282, 14, 443, 15, 13953, 6132, 7356, 315, 14, 5961, 21322, 1460, 324, 19653, 6050, 328, 436, 2586, 16, 826, 1460, 311, 2449, 348, 248, 22882, 286, 933, 417, 321, 20685, 348, 248, 11882, 16, 826, 1460, 311, 248, 1830, 274, 3783, 2577, 2317, 819, 348, 19870, 8393, 994, 16, 679, 14, 37295, 4425, 5335, 43516, 14, 286, 46746, 5946, 27945, 16, 2929, 16, 3996, 443, 15, 13953, 6132, 7356, 315, 9188, 282, 2023, 7692, 21322, 1460, 14, 836, 8219, 933, 321, 2696, 7980, 16, 655, 551, 273, 2533, 819, 348, 1830, 3395, 390, 17236, 9461, 14, 3506, 14695, 276, 5194, 4565, 14, 286, 254, 1026, 12347, 403, 11424, 1767, 254, 3458, 21322, 1460, 276, 665, 1635, 13242, 16, 5328, 14, 1015, 3783, 2577, 2317, 2023, 1015, 1508, 7100, 328, 615, 12120, 948, 4822, 286, 11032, 16, 5995, 641, 5819, 587, 443, 15, 13953, 6132, 7356, 315, 321, 5346, 324, 665, 2863, 390, 4577, 4645, 324, 633, 21421, 328, 254, 21322, 1460, 16, 188, 20339, 14, 1015, 3783, 2577, 2317, 2023, 1015, 1508, 7100, 328, 615, 12120, 948, 4822, 286, 11032, 16, 5995, 641, 5819, 587, 443, 15, 13953, 6132, 7356, 315, 321, 5346, 324, 665, 2863, 390, 4577, 4645, 324, 633, 21421, 328, 254, 21322, 1460, 16, 0, 1130, 268, 3613, 28, 8149, 17066, 276, 10169, 1223, 48104, 570, 14, 417, 2019, 432, 1011, 5998, 16, 11763, 1250, 15, 9627, 9648, 452, 643, 27001, 456, 16, 188, 510, 2586, 274, 38738, 3613, 555, 324, 248, 6650, 628, 643, 27001, 456, 16, 380, 29358, 620, 274, 254, 13751, 5487, 281, 6961, 14, 2228, 14, 403, 254, 1964, 12375, 274, 248, 4010, 282, 38738, 3613, 16, 188, 510, 4136, 36559, 276, 254, 3867, 274, 254, 24266, 354, 29988, 14, 533, 311, 254, 944, 9629, 274, 512, 9648, 27001, 456, 276, 38738, 3613, 14, 8193, 274, 10215, 15, 11744, 1330, 6106, 279, 6677, 972, 327, 5501, 248, 3936, 14, 4136, 6029, 14, 669, 6106, 16, 12182, 14, 436, 628, 274, 15974, 13202, 286, 2468, 321, 24740, 16, 380, 10215, 15, 11744, 4434, 13084, 1901, 1015, 3307, 274, 10964, 14, 512, 7618, 16, 0, 53, 37619, 40713, 2950, 520, 1464, 348, 272, 38581, 19299, 14115, 14, 343, 18469, 85, 286, 15972, 14, 532, 1845, 254, 1057, 12029, 16, 750, 650, 563, 1051, 276, 2803, 348, 254, 27556, 8144, 6480, 14, 348, 254, 6297, 35482, 274, 520, 1362, 16, 2514, 7803, 1090, 432, 1012, 14, 2079, 13487, 650, 997, 888, 286, 28507, 387, 254, 1464, 274, 380, 46779, 1243, 2081, 14, 254, 1247, 6480, 3569, 1464, 369, 580, 274, 276, 824, 386, 1195, 1059, 14, 532, 663, 16324, 254, 41969, 274, 254, 8144, 5510, 16, 188, 3602, 650, 997, 888, 286, 915, 254, 636, 663, 6754, 407, 520, 3853, 28, 347 ]
[ 1, 713, 254, 3132, 791, 89, 376, 789, 1067, 11174, 1065, 926, 1800, 276, 7780, 16, 926, 603, 1303, 68, 313, 311, 417, 8037, 286, 1303, 68, 313, 3493, 684, 5462, 5141, 1003, 603, 45442, 10, 4026, 68, 313, 14, 1626, 383, 800, 2192, 2498, 791, 4026, 68, 313, 426, 543, 4026, 68, 313, 63, 1003, 1952, 28, 2498, 791, 4026, 68, 313, 426, 1303, 68, 313, 1003, 324, 883, 276, 791, 4026, 68, 313, 28, 2498, 603, 883, 276, 39684, 8626, 28, 3986, 898, 65, 262, 65, 68, 313, 426, 16247, 3986, 2654, 5896, 603, 3377, 65, 68, 313, 28, 1003, 898, 65, 262, 65, 68, 313, 426, 11475, 5896, 898, 3226, 262, 68, 313, 426, 898, 65, 262, 65, 68, 313, 926, 898, 3226, 3472, 1371, 426, 7685, 1371, 926, 1800, 6688, 3226, 35436, 426, 39684, 8626, 926, 1419, 39684, 8626, 926, 1076, 898, 2621, 1800, 3826, 818, 254, 15722, 5314, 2617, 314, 18611, 13440, 10425, 800, 4892, 378, 1661, 31751, 647, 1800, 1336, 11, 282, 254, 9580, 3446, 1308, 1788, 647, 603, 11317, 24051, 6963, 870, 311, 8037, 28, 926, 2001, 426, 14661, 647, 1952, 28, 926, 2001, 426, 11317, 24051, 6963, 870, 2621, 14887, 24051, 6963, 870, 426, 2001, 558, 8665, 80, 3333, 13575, 9840, 1855, 65, 6963, 11, 558, 1336, 65, 1320, 2621, 1800, 5568, 254, 3132, 1308, 434, 1390, 282, 248, 743, 10815, 593, 360, 476, 2218, 353, 647, 1800, 670, 20272, 2803, 647, 14887, 3226, 1554, 426, 11317, 24051, 1554, 870, 2621, 1076, 14887, 1465, 1076, 11174, 1065, 534, 188, 2360, 19190, 12923, 10, 5912, 2192, 477, 28002, 14567, 2979, 1384, 426, 7954, 1465, 804, 4623, 4338, 21257, 1262, 14, 20838, 31, 11033, 14, 432, 65, 2617, 31, 5489, 14, 8675, 31, 5489, 2192, 647, 11916, 647, 411, 15435, 1444, 21553, 38534, 13043, 434, 20269, 36, 1661, 16420, 5037, 18339, 274, 5495, 647, 314, 3494, 1333, 7088, 16, 679, 17, 275, 83, 23, 90, 17, 2931, 16420, 557, 669, 4288, 1125, 4081, 647, 2983, 324, 624, 6813, 785, 343, 378, 1661, 4227, 16, 2621, 475, 4040, 12, 311, 5271, 254, 1390, 274, 248, 378, 1661, 15, 2927, 1819, 14, 532, 476, 669, 321, 647, 580, 274, 254, 1527, 28, 5896, 475, 248, 2787, 19151, 926, 475, 1495, 19190, 12923, 1740, 926, 475, 272, 9773, 494, 274, 5225, 1190, 4960, 926, 475, 272, 1493, 1819, 1740, 926, 475, 248, 347, 3039, 9162, 4, 2787, 314, 2798, 2622, 11, 2621, 1286, 475, 3933, 65, 2617, 12, 311, 11475, 14, 835, 368, 476, 1477, 248, 2787, 327, 4288, 647, 254, 9162, 274, 254, 19190, 12923, 368, 961, 282, 2706, 16, 210, 826, 587, 1519, 512, 647, 8247, 348, 46703, 85, 286, 3510, 282, 14310, 3039, 14, 12415, 5745, 368, 1477, 348, 647, 475, 4040, 12, 348, 254, 9162, 274, 254, 3598, 1819, 16, 210, 826, 669, 21795, 6153, 3005, 16, 2621, 38877, 10123, 311, 282, 1110, 282, 272, 5210, 1819, 1420, 5896, 248, 426, 19190, 12923, 2012, 67, 16, 2931, 3291, 2621, 1268, 368, 476, 669, 2706, 580, 432, 19459, 432, 248, 2787, 1420, 5896, 29708, 257, 426, 40369, 926, 3239, 40295, 58, 210, 338, 210, 338, 18, 18, 926, 3239, 40295, 58, 374, 23, 210, 848, 18, 18, 926, 3239, 40369, 926, 29708, 248, 426, 19190, 12923, 10, 85, 14, 3933, 65, 2617, 31, 4937, 11, 2621, 2141, 889, 6490, 327, 1663, 343, 7048, 2931, 16420, 1420, 31769, 29708, 1610, 65, 10947, 426, 7048, 2931, 16420, 16, 3434, 65, 11351, 65, 10947, 1067, 7627, 29708, 4005, 684, 67, 16, 2931, 9, 276, 1610, 65, 10947, 7627, 29708, 248, 426, 7048, 2931, 16420, 16, 11351, 65, 2931, 18656, 2012, 67, 16, 2931, 3291, 2621, 11916, 647, 1827, 16, 27242, 426, 8675, 647, 1827, 3226, 262, 68, 313, 426, 16247, 647, 1827, 3226, 68, 313, 65, 9879, 426, 4739, 2621, 603, 432, 65, 2617, 28, 926, 3598, 65, 27665, 426, 20838, 926, 20838, 426, 1827, 3226, 12428, 1067, 926, 270, 483, 426, 1493, 10, 4040, 14, 684, 89, 3291, 926, 324, 1360, 276, 3598, 65, 27665, 16, 8909, 8509, 14439, 1003, 603, 8249, 10, 1259, 16, 24915, 6472, 2224, 470, 28, 2498, 3906, 1003, 1360, 426, 17600, 86, 5813, 13575, 10, 1259, 16, 8909, 6472, 558, 17600, 80, 9, 1003, 270, 483, 16, 6171, 10, 1259, 11, 926, 270, 483, 16, 10212, 1067, 2621, 1952, 28, 926, 1800, 772, 785, 311, 2102, 2152, 926, 603, 45442, 10, 4040, 14, 19190, 12923, 2192, 1003, 20838, 426, 20838, 16, 4040, 5896, 1800, 432, 65, 2617, 31, 5489, 14, 593, 5307, 353, 434, 248, 19151, 926, 27985, 45442, 10, 4040, 14, 1626, 383, 800, 2192, 1003, 603, 8675, 28, 2498, 1827, 3226, 262, 68, 313, 426, 11475, 1003, 1952, 28, 2498, 603, 417, 7481, 16, 3839, 16, 18830, 10, 4040, 2192, 3986, 6975, 11422, 4608, 2012, 4365, 16795, 85, 4, 1042, 417, 2159, 9, 2384, 20838, 11, 2498, 1827, 3226, 262, 68, 313, 426, 311, 36, 2229, 10, 4040, 11, 5896, 1800, 1286, 30214, 390, 1581, 14, 835, 5166, 348, 1819, 801, 926, 1800, 314, 10809, 266, 1800, 25, 21, 11, 926, 27985, 45442, 10, 4040, 14, 314, 3434, 14, 30214, 47757, 1003, 20838, 426, 19190, 12923, 10, 2480, 10, 4040, 4878, 14837, 285, 4872, 4040, 5896, 1800, 17008, 5307, 27821, 14, 1309, 272, 1493, 1819, 348, 432, 926, 1800, 745, 7209, 16, 50, 34713, 926, 1952, 28, 1003, 20838, 426, 20838, 2621, 603, 45442, 10, 4040, 14, 48052, 2192, 926, 20838, 426, 1195, 10, 4040, 11, 2621, 1827, 16, 4040, 426, 20838, 2621, 603, 1827, 3226, 262, 68, 313, 286, 45442, 10, 1262, 16, 4040, 14, 1626, 383, 800, 2192, 926, 603, 417, 1827, 16, 27242, 28, 1003, 1574, 28, 2498, 1827, 3226, 68, 313, 65, 9879, 426, 684, 5813, 13575, 10, 36, 2229, 10, 1262, 16, 4040, 14, 10207, 65, 7286, 31, 4937, 1210, 11167, 1800, 378, 2229, 9166, 587, 6975, 11422, 4608, 324, 38575, 60, 3023, 265, 4227, 327, 403, 1003, 1800, 417, 378, 2229, 5811, 314, 71, 16, 73, 896, 8121, 378, 1661, 4227, 327, 452, 643, 38575, 60, 3023, 265, 1003, 1800, 324, 10064, 887, 11, 1003, 3584, 11422, 4608, 28, 2498, 1827, 3226, 262, 68, 313, 426, 16247 ]
[ 1, 3587, 15579, 14, 368, 1339, 11608, 665, 11704, 343, 441, 282, 248, 8993, 43400, 3082, 274, 3089, 254, 1703, 282, 248, 1278, 274, 1533, 16, 26199, 476, 756, 321, 3854, 15535, 14, 286, 417, 348, 628, 274, 248, 956, 2181, 16, 4626, 13949, 632, 555, 641, 14492, 282, 751, 3103, 343, 665, 23808, 368, 452, 343, 642, 2672, 14, 3614, 360, 774, 1574, 282, 12114, 248, 5894, 16, 188, 8413, 2328, 665, 1703, 14, 368, 286, 4626, 13949, 632, 5041, 282, 1574, 282, 11022, 665, 23808, 939, 1157, 5839, 5786, 16, 839, 889, 254, 1283, 347, 6854, 4, 276, 436, 5084, 890, 282, 1563, 665, 11704, 14, 1703, 390, 15854, 14080, 772, 274, 390, 5719, 282, 633, 889, 274, 772, 27466, 390, 436, 13908, 14, 1648, 633, 11186, 276, 4626, 13949, 632, 3284, 16, 1395, 390, 4626, 13949, 632, 774, 22355, 436, 1213, 407, 10160, 3427, 4226, 12575, 254, 11704, 286, 633, 3949, 5894, 16, 496, 254, 2288, 327, 360, 2468, 11022, 254, 2443, 1525, 495, 18, 2072, 1842, 274, 16710, 274, 254, 1954, 3990, 4226, 14, 368, 390, 4626, 13949, 632, 774, 3217, 248, 502, 2213, 304, 276, 8726, 343, 5084, 890, 16, 20, 16, 188, 31880, 348, 6418, 276, 5084, 890, 16, 23, 14, 368, 5041, 282, 11608, 665, 1703, 282, 500, 26652, 14, 1454, 896, 390, 695, 23424, 14, 5387, 44, 36312, 2719, 324, 2379, 286, 8746, 5203, 17573, 16, 496, 17573, 2110, 3453, 327, 368, 390, 360, 650, 452, 276, 1278, 774, 417, 321, 2066, 14, 819, 348, 8670, 390, 4408, 16, 1395, 286, 4626, 13949, 632, 403, 1004, 19657, 5019, 2113, 665, 977, 282, 2260, 407, 5794, 390, 4833, 276, 248, 1278, 274, 1533, 16, 826, 4205, 282, 6272, 4287, 2992, 4503, 9892, 274, 1826, 254, 1703, 15437, 1285, 390, 841, 665, 14639, 274, 436, 13908, 390, 633, 2860, 343, 4626, 13949, 632, 16, 188, 6516, 1703, 2186, 282, 17573, 1339, 321, 4578, 1525, 580, 802, 841, 254, 3407, 254, 3027, 716, 7993, 254, 1703, 801, 5887, 390, 47365, 450, 865, 274, 254, 765, 14, 32619, 390, 804, 336, 256, 4782, 5884, 282, 254, 1703, 14, 390, 254, 29425, 671, 2114, 11152, 407, 7559, 1533, 16, 188, 39703, 3027, 774, 24473, 17573, 407, 11781, 248, 3510, 258, 4681, 324, 17573, 343, 500, 26652, 14, 343, 248, 3378, 282, 254, 642, 3027, 2474, 282, 254, 4226, 7067, 276, 5084, 338, 19, 16, 20, 16, 380, 17573, 587, 321, 5043, 276, 8726, 343, 500, 26652, 5379, 12147, 42526, 1553, 15779, 286, 47362, 286, 665, 642, 7559, 4653, 327, 500, 36312, 4279, 5387, 44, 26652, 15779, 2719, 276, 1040, 348, 274, 254, 4681, 324, 17573, 16, 1395, 5041, 327, 254, 529, 16, 53, 16, 7468, 42526, 1553, 3059, 286, 4260, 17573, 1533, 1759, 254, 7705, 286, 7563, 69, 420, 274, 836, 17573, 9800, 16, 5931, 17573, 25505, 587, 1354, 1115, 276, 4852, 14500, 3801, 390, 11054, 2347, 407, 500, 26652, 15779, 16, 5243, 8075, 282, 2014, 665, 11781, 14, 10378, 286, 43400, 7914, 587, 321, 12368, 867, 6418, 276, 254, 500, 26652, 15779, 16, 380, 4532, 587, 28368, 343, 500, 26652, 286, 1004, 642, 276, 26450, 254, 17573, 9794, 14, 286, 276, 16739, 580, 43400, 432, 254, 4426, 500, 26652, 1581, 343, 6650, 2705, 276, 29351, 12370, 2779, 286, 3203, 23808, 16, 380, 43400, 2992, 946, 436, 13908, 286, 14, 282, 254, 5900, 11152, 407, 500, 26652, 15779, 14, 476, 5557, 4665, 14, 7914, 286, 11889, 14, 1648, 6652, 434, 7914, 1875, 345, 26346, 3027, 14, 3584, 327, 254, 43400, 2992, 417, 5557, 2852, 2395, 390, 38786, 6444, 2664, 2902, 3655, 532, 4532, 282, 254, 17573, 16, 4129, 20182, 597, 829, 345, 5557, 13326, 407, 819, 43400, 774, 321, 5797, 276, 665, 1278, 274, 19959, 7371, 16, 188, 1368, 390, 4626, 13949, 632, 774, 4005, 3790, 14, 603, 596, 18916, 14, 276, 1330, 3790, 1278, 276, 4852, 14500, 390, 665, 529, 16, 53, 16, 9382, 830, 368, 3051, 390, 785, 16, 1395, 390, 4626, 13949, 632, 774, 7500, 38786, 6444, 432, 248, 1278, 274, 19959, 7371, 276, 4852, 14500, 3801, 348, 3202, 282, 3889, 12370, 2779, 3453, 274, 368, 390, 4626, 13949, 632, 13532, 254, 11905, 274, 17573, 16, 4626, 13949, 632, 774, 1354, 2181, 276, 1278, 390, 17573, 282, 4672, 665, 7914, 390, 9050, 8317, 324, 14, 390, 282, 7500, 2373, 10204, 422, 6444, 12255, 282, 14, 27466, 5704, 14, 390, 30802, 889, 274, 772, 27466, 390, 12370, 2779, 16, 13161, 276, 436, 5084, 890, 2992, 36422, 4626, 13949, 632, 434, 977, 282, 9741, 14, 31233, 390, 23407, 633, 2320, 390, 2218, 282, 772, 27466, 16, 188, 1368, 774, 10073, 282, 11022, 23808, 939, 17573, 407, 4436, 273, 441, 387, 1305, 34, 14931, 13949, 632, 16, 679, 1525, 495, 18, 1842, 274, 254, 1362, 368, 801, 5041, 282, 436, 13908, 16, 5243, 4436, 1339, 2408, 633, 2057, 1390, 14, 15803, 2859, 14, 254, 4436, 2859, 9595, 282, 368, 9930, 1271, 13949, 632, 2320, 14, 286, 248, 2508, 3782, 327, 368, 961, 282, 1447, 561, 274, 17573, 16, 1286, 368, 1447, 561, 2474, 282, 436, 1213, 835, 5084, 890, 16, 20, 14, 890, 16, 21, 14, 286, 890, 16, 22, 274, 436, 13908, 513, 417, 4503, 282, 368, 16, 436, 1447, 15, 483, 1042, 417, 2730, 665, 642, 2511, 274, 436, 13908, 819, 348, 890, 16, 23, 314, 1630, 13845, 581, 890, 16, 25, 314, 4796, 11793, 411, 17862, 581, 338, 19, 16, 23, 314, 41, 1171, 912, 5245, 581, 338, 19, 16, 24, 314, 26372, 5496, 23906, 14, 286, 338, 19, 16, 26, 314, 4620, 324, 401, 4687, 481, 188, 18016, 28, 4886, 625, 18099, 71, 328, 3655, 434, 12370, 355, 553, 84, 554, 16, 1286, 368, 2780, 633, 12370, 2779, 311, 1129, 18099, 265, 9118, 328, 254, 9930, 1271, 13949, 632, 27466, 14, 4356, 946, 254, 7067, 276, 772, 17051, 35837, 14922, 5048, 46400, 45768, 447, 16, 188, 19318, 13949, 632, 14, 46806, 14, 2497, 10597, 14, 286, 2497, 4314, 403, 254, 12370, 2779, 274, 4626, 13949, 632, 16, 3699, 27466, 14, 1648, 772, 2080, 328, 254, 27466, 14, 403, 669, 772, 299, 1248, 80, 640, 9, 12370, 2779, 16, 1395, 5041, 417, 282, 889, 772, 12370, 2779, 1269 ]
[ 1, 16, 53, 16, 14428, 311, 669, 628, 27536, 2059, 434, 1840, 16, 771, 2736, 403, 8459, 286, 4075, 276, 529, 16, 53, 16, 8688, 20708, 14, 532, 1544, 254, 2485, 16728, 276, 16396, 14, 695, 4665, 403, 276, 16396, 8688, 16, 380, 16396, 14428, 555, 33334, 1444, 719, 2476, 1385, 254, 529, 16, 53, 16, 14428, 593, 2019, 436, 802, 16, 188, 18057, 3265, 819, 348, 10718, 2269, 286, 4605, 4665, 403, 669, 8256, 27536, 2059, 19775, 2977, 16, 188, 4, 13816, 2418, 4032, 4236, 5299, 14, 248, 20446, 529, 16, 53, 16, 14428, 286, 3175, 2042, 5299, 276, 4806, 819, 348, 16633, 14, 1213, 20734, 286, 12832, 403, 3515, 5251, 254, 1508, 274, 772, 2042, 4988, 286, 17539, 7552, 5861, 928, 749, 771, 570, 16400, 388, 662, 71, 14, 11413, 274, 27536, 2059, 14, 276, 248, 3782, 16, 347, 1212, 1847, 248, 6650, 2490, 276, 772, 2269, 2042, 276, 254, 6815, 6961, 1899, 282, 254, 31127, 274, 772, 1034, 15, 3818, 4092, 15, 4287, 3203, 324, 1575, 6015, 449, 188, 510, 2485, 555, 2956, 11663, 343, 6211, 282, 1336, 3768, 688, 274, 695, 10718, 4665, 14, 345, 749, 16, 188, 27035, 2059, 14, 248, 7626, 274, 20677, 14, 311, 254, 801, 274, 254, 1241, 5793, 3203, 10992, 22041, 282, 1280, 1250, 6961, 19775, 16, 17463, 13367, 3441, 8320, 43415, 314, 6718, 7519, 11, 286, 1928, 12409, 29017, 972, 314, 5367, 37, 11, 403, 1081, 11214, 282, 1280, 19775, 1689, 2065, 16, 0, 16127, 55, 28, 15313, 70, 19, 21, 18, 19, 16, 18, 27, 20, 21, 16, 331, 21605, 28, 32355, 1599, 5610, 14, 5891, 1884, 1781, 16, 309, 3429, 28, 5258, 14, 4064, 12788, 16, 188, 510, 399, 675, 268, 18020, 311, 254, 898, 274, 4064, 12788, 457, 85, 19816, 34256, 609, 286, 1090, 274, 19816, 38729, 16, 380, 12932, 311, 5937, 343, 13871, 15, 17061, 37379, 327, 2706, 272, 758, 32595, 38805, 343, 272, 9839, 11720, 327, 1856, 457, 86, 1315, 368, 1051, 16, 330, 4868, 274, 12816, 286, 3616, 324, 8752, 561, 721, 14, 2758, 1842, 286, 10838, 26483, 16, 0, 4369, 1558, 15, 36, 22493, 12299, 282, 248, 3316, 2752, 36490, 360, 476, 513, 353, 512, 3, 839, 476, 1336, 368, 5053, 254, 1479, 274, 3046, 432, 248, 1062, 1733, 5278, 16, 7560, 1872, 1903, 282, 2960, 441, 343, 633, 3095, 286, 3418, 14, 360, 403, 624, 683, 5058, 282, 1336, 3, 0, 510, 11327, 7479, 1318, 41028, 1186, 10945, 2024, 33441, 1928, 8157, 1322, 276, 1004, 7760, 7847, 3569, 18178, 19851, 274, 27811, 1186, 1091, 4329, 276, 12612, 314, 5213, 581, 8486, 314, 21625, 581, 286, 1569, 265, 314, 5270, 11, 1091, 10047, 942, 713, 248, 1464, 15, 3554, 14291, 2860, 343, 7467, 2740, 16, 188, 11695, 13476, 1186, 6395, 276, 1125, 21662, 286, 1125, 7336, 29, 15823, 286, 39336, 512, 14248, 29, 286, 4279, 2860, 2124, 248, 5081, 274, 7529, 16, 188, 1253, 42813, 248, 11327, 7479, 1318, 41028, 1186, 10945, 17822, 311, 254, 11527, 282, 12374, 9317, 2489, 282, 254, 6901, 6145, 274, 7467, 2740, 276, 512, 19851, 7336, 16, 6971, 19851, 311, 18178, 324, 254, 1162, 274, 743, 2740, 18613, 398, 663, 5982, 24919, 343, 436, 1408, 348, 4475, 276, 8838, 282, 1242, 390, 18923, 613, 615, 5839, 9205, 16, 188, 19330, 6140, 22971, 4797, 282, 633, 24785, 12304, 16, 188, 7639, 513, 417, 4856, 22971, 4797, 282, 380, 6625, 324, 41028, 1186, 16, 0, 20153, 1705, 1400, 276, 338, 27, 27, 23, 286, 1707, 276, 14381, 1509, 16956, 495, 20, 9984, 311, 248, 963, 21997, 286, 7688, 3783, 31557, 2586, 16, 1260, 628, 274, 254, 12409, 73, 6299, 10419, 626, 457, 85, 248, 1157, 2332, 274, 6948, 374, 22, 17, 25, 286, 615, 4612, 2530, 311, 580, 274, 254, 944, 13825, 1444, 16, 380, 3571, 311, 6301, 286, 3148, 368, 872, 311, 3364, 282, 1074, 286, 2525, 11146, 16, 1547, 403, 36785, 286, 10846, 512, 254, 671, 14, 248, 3225, 1596, 311, 254, 40309, 5869, 4589, 830, 368, 476, 915, 254, 3021, 327, 650, 452, 13179, 603, 368, 573, 417, 20009, 286, 4671, 276, 254, 1116, 282, 254, 1577, 286, 8062, 16, 1547, 452, 669, 28079, 615, 14405, 16153, 830, 368, 476, 1012, 5053, 869, 8839, 3486, 14, 21941, 1935, 390, 254, 11814, 16153, 324, 1093, 663, 4370, 254, 5732, 1806, 16, 188, 4119, 282, 495, 20, 9984, 403, 41400, 29068, 1091, 3516, 407, 248, 3065, 330, 328, 248, 2424, 3981, 1689, 282, 254, 2741, 1390, 276, 254, 16153, 16, 41400, 6990, 1563, 327, 633, 17548, 2468, 3425, 633, 2099, 1115, 390, 1920, 7020, 328, 368, 348, 368, 1115, 343, 248, 10989, 27163, 16, 1993, 6990, 452, 2411, 39124, 4489, 286, 248, 1491, 3687, 282, 254, 2896, 16, 188, 21, 20, 9984, 555, 248, 1062, 2196, 3974, 255, 2473, 13153, 14, 670, 368, 6429, 368, 587, 321, 12129, 282, 16790, 21, 18, 18, 18, 276, 743, 4612, 3974, 255, 2473, 85, 16, 4886, 457, 86, 2891, 561, 328, 254, 12699, 16790, 19, 18, 18, 18, 3208, 375, 2020, 8156, 255, 2473, 2828, 328, 254, 338, 297, 6741, 274, 254, 1722, 387, 719, 2534, 5427, 324, 512, 3648, 14, 743, 286, 1668, 14, 663, 452, 16588, 276, 254, 1985, 1722, 16, 188, 510, 9845, 16815, 311, 1012, 597, 282, 370, 19, 18, 18, 18, 16, 496, 1596, 14, 670, 368, 6429, 495, 20, 9984, 14, 368, 587, 321, 12129, 282, 1115, 276, 16790, 21, 18, 18, 18, 4269, 274, 3974, 255, 2473, 85, 1091, 719, 1246, 743, 4612, 16790, 23, 18, 18, 3974, 255, 2473, 85, 2828, 328, 7022, 5057, 10730, 387, 719, 16, 21, 18, 2534, 5427, 16, 3714, 590, 659, 324, 743, 45380, 2408, 248, 7126, 387, 719, 20909, 756, 743, 4612, 42647, 35990, 1004, 343, 272, 2790, 17263, 6191, 274, 16790, 23, 18, 18, 14, 6429, 276, 254, 790, 324, 756, 16790, 19, 16, 19, 18, 328, 7022, 5057, 10730, 387, 890, 16, 18, 18, 2534, 5427, 16, 188, 1934, 1354, 5585, 274, 436, 855, 597, 16815, 274, 597, 282, 370, 19, 18, 18, 18, 811, 4672, 254, 2704, 6626, 14, 1869, 4270, 11935, 14, 348, 368, 1115, 16, 1180, 1033, 370, 19, 276, 1200, 413, 390, 14405, 7914, 368, 6458 ]
[ 1, 15140, 663, 368, 403, 286, 2075, 368, 961, 282, 2960, 729, 16, 839, 587, 4017, 254, 26846, 286, 22516, 254, 2960, 14, 2449, 254, 17305, 18190, 16, 188, 51, 28, 2532, 310, 751, 248, 2243, 1477, 324, 618, 3224, 390, 7626, 33, 188, 35, 28, 1583, 14, 756, 2367, 3516, 2243, 476, 4503, 324, 248, 2243, 1477, 16, 1286, 633, 3224, 14, 1963, 3442, 5441, 282, 751, 3103, 276, 254, 5332, 14, 596, 403, 9845, 282, 6429, 441, 348, 248, 20227, 16, 188, 51, 28, 2532, 310, 513, 3783, 6844, 33, 188, 35, 28, 1822, 3453, 324, 3783, 6844, 403, 10544, 282, 254, 5833, 16, 826, 669, 3672, 2591, 3310, 10972, 1285, 254, 2288, 14, 4501, 1999, 26846, 434, 4631, 14, 2008, 286, 7691, 1508, 16, 8183, 3310, 9073, 403, 11152, 670, 596, 913, 2025, 2288, 3762, 286, 2951, 3468, 282, 8061, 16, 1944, 1318, 16, 679, 16, 188, 51, 28, 2532, 310, 5416, 618, 15486, 33, 188, 7639, 3751, 327, 4293, 282, 9751, 436, 7050, 587, 898, 276, 4181, 5077, 407, 254, 5833, 16, 188, 1212, 587, 872, 633, 2057, 1390, 14, 254, 1844, 368, 2120, 286, 254, 2485, 327, 368, 785, 324, 14, 2049, 248, 2057, 2859, 286, 10969, 1162, 16, 188, 1212, 587, 818, 633, 4139, 282, 772, 5287, 14, 286, 15475, 254, 977, 282, 889, 729, 282, 2960, 368, 4850, 9551, 1122, 14736, 813, 18, 16, 21, 331, 4692, 4487, 23321, 16, 188, 6906, 4139, 587, 417, 321, 900, 324, 665, 642, 6206, 286, 587, 417, 321, 4667, 328, 282, 665, 2543, 4532, 16, 0, 37, 1653, 17847, 18040, 456, 473, 3263, 81, 15, 3911, 15, 17848, 34414, 819, 348, 17899, 1661, 35, 14, 11913, 1661, 35, 286, 367, 1661, 1967, 35, 403, 4081, 41460, 276, 8480, 8831, 286, 15658, 17576, 286, 900, 17652, 276, 29676, 17576, 348, 21384, 324, 248, 5081, 274, 4995, 12518, 16, 496, 15426, 274, 1017, 11367, 14, 367, 1661, 1967, 35, 314, 82, 20270, 15, 3911, 15, 5015, 15, 16938, 15, 12169, 313, 569, 11, 555, 417, 643, 2066, 276, 9526, 11187, 1899, 282, 254, 9916, 276, 254, 22080, 274, 3316, 9101, 16045, 274, 254, 4832, 2080, 960, 5871, 2983, 16, 3583, 1516, 4320, 1308, 8405, 248, 1213, 274, 13178, 367, 1661, 1967, 35, 327, 311, 6141, 286, 1269, 665, 1874, 390, 17936, 17026, 456, 1830, 16, 380, 1213, 8460, 641, 785, 15, 484, 286, 311, 2926, 37818, 11146, 16, 496, 1596, 14, 254, 4733, 671, 286, 785, 15, 484, 1213, 311, 29953, 3652, 432, 254, 5871, 8831, 1308, 16, 188, 2921, 11436, 1583, 16, 26, 14, 24, 23, 26, 14, 26, 20, 27, 347, 6756, 274, 12768, 273, 17847, 18040, 456, 473, 3263, 81, 18040, 258, 553, 10001, 34414, 4, 0, 29397, 25401, 14, 286, 13148, 10152, 34820, 1676, 21396, 21508, 36555, 330, 2220, 311, 5346, 324, 1468, 16480, 24924, 328, 248, 13398, 3596, 16, 188, 35, 11859, 274, 6494, 1574, 282, 40351, 2005, 775, 343, 3893, 15, 442, 1293, 14, 532, 345, 1311, 8775, 3956, 282, 1041, 6933, 324, 254, 32551, 507, 16, 1691, 345, 19185, 276, 1921, 314, 23, 9, 27, 39070, 19, 23, 18, 37338, 581, 345, 2701, 597, 324, 343, 22733, 15, 21397, 9470, 16, 750, 6165, 248, 576, 16, 22, 23, 276, 254, 576, 18, 15, 13146, 19547, 14, 532, 520, 328, 15, 3313, 3759, 311, 624, 13562, 683, 254, 3778, 650, 1002, 15641, 16, 188, 35, 2220, 1503, 321, 248, 4434, 11145, 14, 532, 345, 34766, 4083, 17305, 747, 254, 13907, 47099, 9, 1569, 1843, 251, 26419, 286, 7554, 2341, 32692, 8029, 17839, 8275, 11658, 16, 750, 25766, 1755, 282, 17575, 7042, 14, 286, 345, 6319, 282, 254, 1689, 1245, 348, 248, 3735, 47253, 14815, 11145, 16, 2028, 368, 1602, 775, 668, 520, 2099, 14, 345, 8405, 353, 343, 580, 3056, 16, 188, 4, 28739, 375, 422, 928, 330, 2220, 2225, 16, 347, 43, 811, 513, 254, 1640, 310, 476, 324, 618, 2214, 282, 2023, 14351, 8856, 449, 188, 35, 7213, 561, 282, 13148, 10152, 311, 3202, 324, 512, 6649, 658, 8128, 16, 750, 1503, 321, 2519, 15, 31859, 14, 532, 353, 434, 974, 345, 14523, 520, 2099, 513, 512, 254, 4864, 1037, 395, 353, 434, 10922, 328, 254, 1631, 16, 0, 3294, 1824, 4941, 942, 452, 643, 5182, 286, 248, 1949, 374, 18, 18, 452, 4634, 5651, 276, 31085, 10586, 841, 248, 7891, 721, 2603, 21237, 387, 272, 6689, 28841, 7280, 8256, 5300, 27076, 276, 254, 31108, 24652, 1350, 274, 3566, 285, 443, 3410, 262, 16, 188, 34660, 892, 3574, 88, 12509, 1318, 14, 254, 6828, 8925, 274, 254, 2485, 327, 20552, 254, 7280, 14, 44318, 11715, 14, 749, 756, 580, 15, 18470, 274, 254, 11159, 495, 18, 18, 5655, 387, 254, 2586, 1285, 6612, 457, 85, 14969, 573, 643, 19594, 324, 16, 188, 1590, 510, 8398, 10079, 497, 772, 1193, 5655, 1756, 3574, 88, 12509, 1318, 2117, 248, 3547, 7847, 328, 6612, 7046, 14, 6069, 327, 254, 261, 7751, 258, 830, 1125, 18203, 769, 4101, 13820, 407, 254, 15616, 387, 10864, 2523, 1590, 16, 188, 19751, 500, 1078, 15558, 1625, 14929, 587, 4010, 254, 5709, 2829, 328, 7608, 14, 248, 2142, 17568, 749, 16, 10586, 457, 85, 13435, 8089, 19015, 15474, 323, 455, 266, 369, 2102, 328, 520, 1026, 16, 188, 36, 40643, 14929, 769, 1701, 37523, 254, 1841, 2863, 274, 1464, 666, 286, 369, 8026, 1527, 254, 3979, 14, 17568, 13996, 579, 892, 17542, 3126, 513, 3546, 81, 3904, 2831, 2117, 16352, 16, 188, 17904, 13202, 8841, 807, 321, 2254, 16, 3683, 497, 10783, 343, 2631, 532, 615, 247, 4070, 43952, 1628, 6876, 328, 15616, 16, 188, 1128, 8715, 2214, 432, 254, 43114, 2813, 6752, 5885, 6577, 573, 643, 38219, 282, 254, 8014, 26902, 407, 6612, 457, 85, 2603, 13182, 282, 3533, 254, 4577, 14, 323, 455, 266, 2117, 254, 443, 19, 3547, 4282, 16, 188, 510, 6577, 5828, 254, 13182, 573, 4299, 248, 2945, 40795, 274, 1773, 286, 15616, 14, 2474, 282, 254, 8241, 2866, 81, 11235, 16, 188, 24605, 41498, 497, 38219, 282, 254, 2104, 282, 3083, 324, 942, 276, 16281, 286, 7275, 254, 4172, 274, 254, 12192, 16, 188, 41890, 16669, 6166, 749, 942, 3686, 276, 1656, 15, 2851, 3551, 276 ]
[ 1, 276, 254, 975, 286, 4574, 1649, 276, 28383, 888, 276, 742, 254, 1985, 1096, 687, 343, 254, 37293, 25397, 16, 380, 13139, 55, 311, 4652, 282, 254, 9130, 328, 310, 1141, 399, 19, 23, 16, 4186, 254, 37293, 17, 395, 7045, 8444, 25397, 311, 254, 7045, 8444, 2675, 1438, 597, 282, 254, 7045, 8444, 314, 21434, 11, 597, 407, 254, 3556, 10812, 16, 380, 309, 606, 6199, 4424, 282, 254, 2824, 432, 254, 13139, 55, 2104, 348, 1042, 254, 2374, 3821, 1665, 16, 0, 31286, 317, 311, 248, 13320, 14, 417, 756, 276, 8892, 11008, 2803, 14, 532, 669, 276, 254, 14815, 4992, 1499, 16, 380, 3132, 7525, 317, 24372, 1143, 407, 411, 3231, 311, 272, 7673, 10334, 286, 626, 403, 1012, 9567, 274, 642, 3830, 343, 2013, 4314, 1143, 407, 642, 4273, 1480, 16, 188, 510, 7525, 317, 338, 18, 18, 18, 1143, 407, 411, 3231, 311, 254, 576, 394, 276, 254, 2868, 1143, 407, 436, 2485, 14, 841, 7525, 317, 338, 14, 374, 286, 495, 16, 826, 580, 311, 1062, 2013, 276, 3616, 282, 3830, 747, 32551, 318, 317, 286, 35109, 4270, 14, 343, 254, 842, 1685, 268, 295, 1220, 3616, 274, 1115, 327, 311, 7434, 512, 687, 254, 1499, 16, 188, 9556, 512, 254, 642, 2004, 1685, 268, 1676, 1220, 3830, 14, 7525, 317, 3277, 33297, 4805, 85, 327, 3577, 687, 432, 254, 3835, 295, 1220, 282, 254, 30056, 867, 328, 254, 977, 1116, 1874, 274, 254, 3481, 16, 188, 1516, 311, 580, 274, 254, 1640, 3277, 2378, 286, 353, 4699, 1623, 11967, 670, 368, 915, 374, 14, 495, 390, 1002, 576, 390, 1093, 33297, 274, 4805, 85, 3073, 328, 254, 801, 3481, 16, 380, 3177, 274, 29433, 286, 254, 19785, 18778, 368, 751, 670, 327, 7659, 282, 4955, 311, 9138, 16, 188, 686, 2135, 6309, 15340, 14, 747, 254, 4254, 368, 751, 276, 17574, 14, 11619, 390, 12399, 81, 14, 368, 587, 915, 7525, 317, 338, 18, 18, 18, 3837, 1181, 11362, 16, 731, 434, 417, 348, 4489, 348, 254, 642, 7525, 317, 3830, 14, 532, 368, 587, 1311, 1074, 353, 16, 1664, 403, 641, 1017, 2615, 24372, 9692, 343, 254, 2099, 14, 327, 310, 452, 2254, 14, 532, 310, 650, 417, 321, 9600, 282, 915, 248, 374, 23, 69, 590, 1360, 2629, 9118, 16, 188, 510, 1887, 2115, 668, 254, 16815, 14, 311, 327, 7525, 317, 13830, 403, 2790, 282, 254, 295, 1220, 1033, 671, 368, 4212, 248, 7819, 274, 254, 7525, 317, 13830, 16, 1838, 14, 254, 624, 368, 1115, 254, 624, 7525, 317, 13830, 626, 403, 286, 254, 8522, 254, 14484, 16, 188, 1982, 368, 403, 13109, 2151, 282, 4212, 254, 495, 18, 1903, 26964, 14, 368, 933, 321, 16300, 688, 3837, 7656, 14484, 407, 254, 980, 274, 254, 2099, 14, 348, 626, 587, 321, 8611, 16205, 274, 254, 14352, 317, 13830, 328, 254, 842, 1685, 268, 295, 1220, 16, 188, 1853, 343, 512, 254, 642, 2004, 1685, 268, 1676, 1220, 3830, 14, 254, 7525, 317, 338, 18, 18, 18, 14815, 555, 248, 1903, 26964, 16815, 16, 1395, 751, 248, 4688, 282, 3223, 869, 338, 18, 286, 374, 18, 1903, 26964, 14, 7100, 328, 843, 1125, 274, 254, 16815, 13830, 368, 751, 286, 669, 14, 254, 9619, 4688, 590, 5348, 311, 1181, 1755, 276, 254, 16815, 14, 683, 353, 311, 276, 3835, 1115, 16, 0, 510, 2485, 457, 85, 5574, 4236, 1848, 457, 86, 7858, 963, 282, 254, 3547, 14, 18216, 348, 1181, 348, 576, 16, 24, 7, 328, 6612, 16, 1268, 353, 3032, 348, 2101, 1125, 12591, 403, 5651, 254, 1491, 2835, 276, 24622, 457, 85, 19775, 28, 5060, 29620, 3017, 16, 188, 2686, 457, 85, 974, 5060, 3017, 587, 321, 248, 2165, 6082, 324, 24622, 457, 85, 4671, 25559, 274, 254, 17837, 3379, 4351, 276, 254, 2764, 16, 1223, 603, 353, 11055, 695, 1615, 13494, 597, 14, 353, 933, 321, 963, 15042, 324, 254, 254, 2764, 16, 188, 6942, 282, 16158, 468, 500, 2755, 1376, 457, 85, 6105, 47848, 286, 712, 1891, 10484, 14, 11159, 719, 18, 7, 274, 8349, 15, 13679, 529, 16, 53, 16, 17772, 14, 532, 811, 338, 23, 7, 274, 254, 5060, 2703, 16, 826, 311, 4214, 254, 5793, 3017, 4954, 324, 254, 2485, 14, 348, 353, 457, 85, 21506, 276, 254, 529, 16, 53, 16, 13805, 695, 5087, 16, 188, 8467, 21220, 311, 4250, 2066, 276, 338, 27, 18, 4203, 14, 532, 2427, 457, 86, 811, 3831, 529, 16, 53, 8408, 5989, 10435, 282, 695, 5060, 28156, 29, 353, 669, 5961, 2636, 286, 11021, 324, 28156, 276, 1004, 2829, 16, 380, 2485, 14, 2228, 14, 2427, 457, 86, 452, 248, 3252, 276, 4002, 14, 533, 2034, 353, 457, 85, 5651, 561, 328, 248, 7656, 2703, 16, 188, 16347, 14, 24622, 555, 3136, 2151, 2244, 282, 1709, 11054, 276, 254, 1499, 14, 286, 353, 457, 85, 18064, 327, 353, 311, 624, 683, 6845, 274, 2430, 593, 16, 188, 22111, 2525, 3017, 3432, 457, 86, 254, 756, 1619, 24622, 476, 818, 282, 695, 4853, 1360, 16, 1286, 254, 2785, 265, 4733, 282, 254, 2485, 457, 85, 3225, 14, 22711, 16001, 14, 4236, 5299, 403, 665, 13629, 14, 24622, 807, 4045, 348, 1181, 348, 370, 19, 23, 16, 23, 18, 590, 1722, 324, 248, 2546, 21074, 14, 4250, 32227, 387, 370, 19, 21, 14, 1269, 1181, 2443, 14, 2474, 282, 16158, 468, 500, 2755, 1376, 16, 188, 1843, 343, 14670, 745, 27165, 4250, 6876, 387, 370, 19, 24, 590, 1722, 14, 353, 457, 85, 417, 561, 274, 254, 19352, 274, 6215, 327, 24622, 807, 6350, 4045, 370, 20, 18, 590, 1722, 324, 254, 3621, 282, 5379, 576, 45, 2517, 276, 254, 2764, 16, 188, 15309, 9104, 274, 5299, 403, 1438, 282, 7353, 624, 1726, 348, 254, 2485, 7583, 282, 8012, 939, 7732, 348, 353, 20534, 597, 695, 3132, 2636, 286, 11021, 16, 0, 1516, 5230, 27006, 1044, 555, 248, 14452, 27861, 21915, 343, 14452, 20033, 328, 353, 16, 188, 14028, 633, 1305, 274, 5818, 2832, 11570, 407, 9150, 436, 36746, 27006, 1044, 16, 188, 27750, 286, 29166, 1903, 343, 248, 5167, 40155, 10751, 2877, 42975, 38182, 16, 0, 510, 354, 4730, 1472, 9956, 6054, 561, 276, 374, 18, 19, 24, 348, 1129 ]
[ 1, 310, 1328, 1438, 282, 321, 2876, 618, 331, 10303, 276, 668, 248, 2065, 16, 33432, 10812, 16, 1691, 1921, 311, 353, 33, 1223, 748, 10377, 403, 368, 3400, 33, 188, 7849, 16, 11421, 276, 30204, 403, 1247, 16, 11660, 5193, 3233, 16, 310, 1038, 625, 865, 2075, 532, 596, 403, 618, 7383, 276, 30204, 16, 310, 452, 248, 1603, 755, 377, 691, 564, 34099, 1480, 16, 1547, 403, 3673, 16716, 2101, 593, 310, 1038, 625, 915, 729, 2156, 16, 188, 7849, 16, 731, 311, 338, 20, 18, 40943, 286, 254, 10377, 403, 374, 23, 18, 411, 1559, 338, 22, 77, 27270, 14054, 504, 16, 188, 57, 4151, 3, 327, 311, 248, 22794, 10812, 14, 286, 688, 1623, 5230, 276, 30204, 1480, 14, 368, 933, 321, 1062, 9714, 16, 5066, 7158, 38913, 3, 310, 1328, 29596, 310, 573, 248, 13339, 10812, 747, 327, 3, 0, 35221, 9740, 274, 20916, 3452, 3284, 286, 6786, 16, 16658, 274, 3956, 327, 403, 900, 282, 3178, 529, 16, 53, 16, 3206, 35630, 286, 29745, 12002, 14, 348, 963, 348, 21527, 16, 6236, 5962, 1090, 14, 587, 2683, 328, 3812, 17604, 16, 6175, 2630, 274, 2211, 15773, 282, 10278, 274, 7150, 33603, 1444, 254, 1499, 16, 21041, 587, 1263, 615, 1193, 931, 14, 3106, 14, 286, 42198, 324, 3452, 4719, 16, 5564, 1792, 45206, 28, 495, 18, 18, 1245, 2211, 276, 254, 745, 3313, 348, 963, 348, 512, 2025, 5925, 276, 254, 2135, 28, 31327, 3930, 43, 338, 18, 20, 14, 31327, 3930, 43, 338, 25, 23, 14, 286, 3789, 35, 338, 18, 19, 16, 2514, 2211, 1209, 495, 4934, 16, 0, 9556, 944, 47009, 310, 457, 79, 272, 45076, 8288, 472, 255, 274, 36395, 14, 343, 254, 2790, 16815, 274, 16580, 432, 618, 3326, 8352, 85, 348, 963, 348, 14696, 310, 457, 307, 11268, 16, 310, 457, 79, 1311, 248, 7779, 14, 417, 5938, 248, 26842, 11176, 1269, 254, 1362, 457, 85, 769, 22750, 71, 6423, 188, 3269, 248, 13003, 390, 593, 10299, 328, 248, 2869, 2643, 7724, 1175, 1044, 286, 10334, 32967, 6247, 819, 348, 13254, 5232, 14, 15572, 16286, 390, 321, 322, 251, 40459, 854, 3330, 7580, 328, 633, 1175, 1044, 35180, 14, 310, 2156, 1218, 353, 260, 382, 2830, 343, 254, 3409, 327, 436, 10334, 4277, 1723, 587, 2304, 624, 1074, 695, 1026, 713, 9535, 16, 188, 2300, 15100, 360, 457, 619, 24367, 6298, 836, 16637, 282, 1741, 12581, 772, 1615, 8680, 14, 1629, 268, 4570, 6167, 14, 7724, 6998, 252, 2200, 286, 1396, 18515, 26378, 5304, 512, 2328, 3225, 18121, 16, 380, 17869, 286, 17826, 311, 1845, 248, 1519, 14, 353, 457, 85, 747, 26744, 2902, 272, 1668, 3224, 3, 4539, 2211, 360, 587, 1845, 1574, 282, 4829, 877, 729, 5612, 14, 2101, 17246, 360, 3191, 1972, 282, 254, 20183, 286, 20554, 274, 10334, 20133, 2641, 1297, 16637, 16, 188, 1516, 1722, 457, 85, 10859, 610, 27057, 311, 14584, 343, 4805, 16936, 14, 593, 23288, 327, 944, 4829, 270, 325, 274, 48071, 324, 633, 2653, 3, 310, 457, 79, 417, 248, 7779, 274, 30449, 254, 21207, 1048, 5646, 14, 310, 1339, 11168, 16, 310, 785, 328, 254, 3596, 327, 603, 2626, 1903, 311, 417, 4269, 1851, 286, 1125, 274, 254, 624, 25695, 26556, 286, 40090, 403, 328, 254, 8680, 974, 254, 3471, 4576, 348, 9799, 282, 39024, 274, 2626, 16, 1678, 603, 368, 1663, 2362, 254, 269, 1891, 291, 40453, 274, 16936, 10341, 835, 1041, 2056, 368, 9328, 353, 597, 16, 1260, 343, 1125, 1247, 19653, 274, 254, 4829, 1499, 14, 512, 15857, 274, 942, 1703, 282, 452, 22456, 254, 11295, 29, 748, 457, 85, 417, 276, 11704, 311, 327, 353, 369, 254, 1062, 801, 43274, 11176, 282, 321, 5740, 407, 45078, 286, 25974, 16, 1260, 310, 1845, 1309, 14, 1247, 2653, 1582, 4424, 561, 274, 7928, 286, 3217, 436, 713, 2470, 343, 254, 801, 274, 35843, 457, 85, 348, 1131, 36802, 348, 272, 10083, 2029, 16, 188, 20, 3467, 294, 254, 7435, 286, 1619, 276, 248, 3096, 274, 24488, 1773, 16, 3635, 951, 324, 1694, 2819, 14, 835, 22195, 758, 5252, 3400, 1773, 16, 188, 22, 3467, 294, 254, 16936, 38898, 16, 188, 26, 5568, 254, 17020, 16936, 10341, 314, 264, 603, 28320, 889, 248, 1157, 11859, 274, 6333, 10341, 37463, 481, 188, 27, 5568, 254, 17020, 18083, 1164, 383, 16, 188, 19, 18, 5568, 254, 18083, 14308, 16, 188, 19, 19, 21660, 254, 10109, 963, 16, 188, 19, 20, 20860, 713, 769, 13106, 9109, 81, 14614, 6423, 13103, 276, 254, 37496, 16, 188, 19, 21, 10068, 248, 32475, 713, 254, 10859, 25095, 16, 188, 19, 22, 35581, 276, 254, 10109, 16, 188, 19, 23, 10046, 315, 11939, 254, 10859, 5818, 16, 188, 19, 24, 10974, 939, 254, 20085, 7047, 16, 188, 19, 25, 2552, 1477, 939, 254, 1497, 3445, 14, 17246, 254, 10859, 311, 4196, 18632, 16, 188, 19, 26, 9006, 38098, 276, 7744, 6299, 10109, 16, 188, 19, 27, 47600, 670, 254, 10859, 555, 8293, 265, 286, 3906, 282, 4277, 276, 248, 637, 15, 47855, 338, 26, 18, 37, 17, 41813, 4597, 576, 324, 374, 23, 2819, 16, 188, 20, 18, 33863, 12581, 254, 348, 1131, 36802, 16, 0, 7639, 1218, 436, 825, 9012, 286, 321, 6425, 327, 407, 40226, 324, 286, 14874, 276, 254, 374, 18, 19, 27, 418, 322, 542, 18823, 6882, 79, 793, 552, 25805, 314, 779, 769, 1731, 19085, 27472, 368, 587, 321, 5019, 2113, 633, 3453, 282, 512, 3790, 324, 9228, 368, 1503, 9996, 14080, 561, 274, 633, 11186, 276, 254, 25805, 286, 368, 587, 321, 2347, 282, 29792, 1392, 14, 2120, 24533, 286, 2270, 418, 322, 542, 18823, 15723, 286, 695, 33150, 390, 27312, 324, 665, 3790, 14080, 561, 274, 11186, 276, 254, 25805, 16, 188, 686, 254, 2288, 274, 665, 8715, 14, 310, 5041, 327, 310, 587, 321, 5346, 324, 7624, 274, 665, 286, 512, 3615, 3134, 13326, 16, 188, 43, 452, 1218, 286, 4603, 2033, 286, 5041, 282, 254, 1788, 36097, 386, 7968, 1402, 411, 17862, 286, 20828, 28401, 1391, 13908, 16, 0, 510, 42981, 11107, 41162, 311, 248, 26607, 2133, 274, 13373, 327, 452, 6493, 1013, 615, 8114, 3327, 17880, 16, 19157, 14, 626, 403, 338, 27, 13373, 457, 17880, 276, 254 ]
[ 1, 41144, 15, 22983, 16, 473, 3663, 587, 417, 321, 3468, 14025, 1096, 10448, 85, 14, 532, 254, 3442, 10611, 675, 311, 248, 1247, 1619, 282, 2035, 580, 3, 3006, 328, 254, 10611, 675, 33, 9720, 561, 624, 1045, 14, 390, 4436, 441, 387, 473, 3663, 34, 525, 265, 319, 16, 2000, 16, 188, 18780, 274, 15001, 11775, 1460, 286, 3588, 16, 188, 29234, 20399, 338, 16, 23, 6400, 432, 254, 7847, 18231, 14, 254, 34992, 43475, 311, 8920, 473, 3663, 272, 2288, 2210, 327, 476, 321, 31174, 407, 1045, 28, 15001, 2953, 2414, 6928, 33638, 12048, 390, 407, 6607, 338, 15, 26, 18, 18, 15, 22, 22, 23, 15, 26, 24, 24, 25, 286, 43187, 254, 2063, 769, 38792, 6423, 188, 27302, 683, 248, 13537, 432, 254, 1533, 2079, 286, 977, 742, 274, 13416, 16, 188, 10296, 248, 13537, 432, 254, 1533, 2079, 286, 977, 328, 13416, 16, 188, 38792, 587, 321, 39289, 248, 1581, 274, 2672, 276, 254, 3564, 34992, 2104, 663, 403, 7183, 282, 3064, 12304, 4863, 16, 7560, 4436, 441, 387, 473, 3663, 34, 1347, 1290, 2414, 16, 2000, 603, 368, 650, 747, 282, 1074, 248, 1683, 15, 38118, 390, 403, 5940, 276, 18796, 16, 188, 8274, 28, 473, 3663, 1042, 417, 4523, 390, 8967, 1683, 15, 297, 696, 14, 532, 587, 2023, 15146, 2960, 1460, 593, 327, 4153, 476, 1041, 615, 1193, 16209, 16, 0, 17385, 1764, 311, 248, 24778, 830, 28521, 447, 403, 3400, 432, 314, 250, 22066, 11, 8882, 85, 16, 731, 311, 248, 2875, 24778, 343, 248, 18599, 14, 368, 872, 282, 4432, 254, 4609, 274, 254, 26358, 1063, 254, 6738, 16, 5523, 2245, 282, 4045, 254, 6738, 286, 3603, 282, 6738, 16, 34942, 12431, 286, 1574, 282, 3570, 38876, 16, 188, 1853, 274, 1012, 3148, 2893, 16, 1664, 403, 4372, 3133, 343, 11731, 532, 2631, 1623, 2978, 16, 188, 37868, 310, 587, 321, 47502, 34837, 324, 1015, 13130, 16, 0, 6709, 521, 2556, 16180, 373, 750, 43543, 4117, 14, 367, 26281, 2633, 3399, 14, 44660, 2633, 3399, 1091, 4906, 254, 1640, 12968, 1045, 16, 188, 3530, 756, 311, 416, 706, 323, 16180, 251, 286, 16769, 248, 11888, 44467, 5883, 24579, 255, 14, 532, 360, 457, 251, 669, 248, 4603, 13128, 31961, 25068, 21890, 14, 5123, 416, 22667, 14, 43347, 25068, 14, 9278, 41398, 14, 16579, 14003, 5247, 14, 22883, 25068, 14, 5717, 286, 2135, 2336, 3199, 1272, 11415, 14, 20760, 286, 13030, 25068, 14, 282, 3831, 248, 2057, 4807, 8478, 2497, 16, 1260, 248, 4603, 2410, 1659, 17968, 23071, 324, 953, 373, 286, 8425, 25068, 14, 360, 1354, 1247, 15125, 276, 772, 785, 42187, 14, 286, 772, 2705, 4343, 441, 282, 11882, 254, 1017, 3184, 274, 772, 785, 42187, 16, 3699, 11146, 4602, 403, 1845, 5058, 282, 2023, 615, 6311, 7338, 14, 37757, 14, 286, 2497, 16, 839, 3831, 3746, 17968, 953, 251, 3134, 324, 22868, 286, 4273, 14, 286, 360, 403, 4603, 13128, 286, 17511, 282, 1336, 633, 2072, 14, 641, 2563, 254, 2042, 16, 188, 3294, 416, 706, 323, 16180, 251, 286, 16769, 248, 11888, 44467, 5883, 24579, 255, 14, 368, 476, 4349, 30507, 18272, 14, 32397, 3115, 530, 14, 378, 72, 6901, 5800, 14, 32665, 14, 11888, 44467, 14, 48097, 258, 14, 6901, 2823, 14, 33255, 644, 14, 45927, 1647, 14, 7695, 90, 262, 14, 7695, 40452, 14, 34243, 258, 14, 8443, 9960, 14, 16368, 250, 14, 367, 602, 24814, 14, 22460, 81, 14, 1472, 1433, 286, 642, 2135, 17236, 16, 188, 7658, 1860, 9720, 6110, 2916, 314, 18, 21, 11, 890, 22, 23, 27, 495, 21, 26, 24, 16, 188, 52, 706, 323, 16180, 251, 286, 16769, 2023, 418, 4151, 23643, 4236, 328, 16180, 373, 286, 452, 643, 5123, 3184, 2497, 282, 254, 1922, 3551, 1648, 750, 43543, 14, 11635, 8810, 14, 42371, 14, 5438, 283, 352, 14, 19960, 12131, 14, 25210, 1832, 67, 14, 20921, 570, 14, 8939, 17201, 14, 26506, 31616, 14, 2147, 675, 9038, 14, 12927, 16348, 14, 12776, 4762, 14, 32095, 23860, 14, 12420, 3313, 286, 642, 8476, 34477, 16, 188, 20426, 416, 706, 323, 16180, 251, 286, 16769, 248, 11888, 44467, 5883, 24579, 255, 1012, 328, 314, 18, 21, 11, 890, 22, 23, 27, 495, 21, 26, 24, 390, 4010, 772, 4513, 314, 24, 25, 21, 9938, 21908, 21118, 14, 750, 43543, 4117, 1091, 655, 1811, 495, 18, 26, 19, 11, 282, 1806, 248, 1887, 5278, 274, 1708, 3184, 16180, 373, 276, 750, 43543, 4117, 387, 40558, 7702, 16, 188, 6906, 953, 373, 403, 1845, 758, 3941, 16, 12033, 353, 311, 10344, 343, 19436, 1720, 14, 269, 832, 3715, 14, 29816, 3843, 9173, 390, 1002, 1093, 1612, 12100, 28890, 327, 28612, 77, 1444, 254, 6956, 16, 1822, 274, 836, 3483, 476, 2730, 254, 1464, 15, 2469, 274, 953, 373, 16, 188, 2943, 368, 4349, 665, 11888, 44467, 390, 6901, 2823, 39687, 953, 251, 432, 248, 11888, 44467, 5883, 24579, 255, 368, 476, 751, 5885, 1385, 2110, 3395, 274, 4577, 432, 348, 1612, 348, 370, 19, 20, 590, 576, 13682, 953, 251, 16, 188, 13655, 1090, 274, 1903, 43347, 25068, 16, 188, 1982, 633, 953, 251, 311, 5709, 407, 665, 274, 836, 2435, 14, 835, 360, 457, 619, 4793, 248, 5247, 953, 251, 324, 368, 286, 368, 457, 619, 756, 452, 282, 2014, 324, 254, 2332, 274, 28111, 368, 457, 307, 900, 16, 1838, 324, 1610, 14, 603, 633, 3132, 953, 251, 457, 85, 28111, 311, 756, 338, 18, 7, 274, 254, 2042, 324, 248, 4196, 743, 953, 251, 16, 839, 457, 619, 1002, 4842, 665, 17231, 8478, 494, 43347, 324, 1903, 324, 254, 2560, 1464, 274, 254, 953, 251, 16, 188, 23954, 596, 403, 15880, 282, 254, 5758, 4181, 28111, 6682, 14, 37833, 6457, 801, 16, 188, 1253, 403, 416, 706, 323, 16180, 251, 286, 16769, 457, 85, 5742, 2942, 33, 0, 1516, 369, 248, 1247, 1218, 16, 5650, 1897, 4003, 479, 282, 1949, 7275, 830, 310, 715, 276, 1464, 286, 830, 310, 961, 282, 563, 16, 188, 510, 6490, 3591, 748, 254, 1897, 807, 1563, 282, 1004, 1408, 14, 348, 963, 348, 1015, 3956, 282, 997, 387, 729, 16, 188, 1516, 369, 272, 28795, 1218, 16, 188, 1843, 368, 403, 593, 1062, 977, 16, 12128 ]
[ 1, 282, 1263, 254, 15350, 1114, 16, 380, 37379, 497, 835, 11154, 276, 19416, 578, 286, 36787, 267, 255, 314, 44207, 11799, 274, 2878, 11671, 276, 17055, 285, 14243, 481, 3683, 274, 729, 452, 25047, 533, 452, 597, 282, 338, 20, 1015, 21607, 314, 3066, 328, 772, 2479, 432, 254, 15621, 30384, 286, 348, 1125, 8115, 573, 282, 321, 1116, 35764, 282, 4962, 254, 1040, 11, 1205, 254, 4331, 15, 74, 2044, 458, 249, 363, 5804, 22068, 497, 1707, 328, 688, 338, 24, 394, 5174, 3415, 4086, 1531, 387, 254, 15776, 706, 17731, 10746, 276, 4549, 16, 1664, 311, 248, 2187, 274, 2471, 33095, 319, 328, 254, 11154, 2426, 3102, 14, 533, 497, 35515, 343, 935, 83, 15837, 15837, 313, 286, 5732, 31755, 1310, 447, 819, 348, 279, 2700, 413, 15837, 15837, 313, 16, 188, 2275, 1125, 36210, 852, 368, 2706, 324, 1004, 1839, 33, 188, 1212, 497, 8869, 24404, 274, 843, 254, 2986, 4351, 2893, 670, 353, 3144, 282, 36210, 7162, 360, 2144, 328, 4310, 1111, 27501, 327, 311, 748, 2234, 25293, 507, 8722, 29955, 2980, 670, 345, 685, 9109, 276, 743, 12464, 747, 441, 16, 6236, 254, 3196, 5831, 27798, 345, 4713, 265, 441, 327, 869, 254, 1241, 1964, 5645, 360, 650, 872, 282, 1663, 597, 343, 687, 248, 4150, 4313, 286, 327, 1004, 997, 573, 282, 321, 9441, 1726, 348, 353, 650, 4702, 327, 1748, 2687, 274, 254, 43020, 14, 593, 360, 573, 282, 1862, 772, 1640, 282, 1004, 16, 1838, 254, 2479, 1213, 324, 1004, 1839, 369, 9441, 6813, 286, 16712, 16, 380, 1964, 5527, 369, 282, 2706, 1241, 1015, 4313, 432, 254, 2114, 327, 11088, 1241, 1015, 25154, 16, 380, 4313, 669, 573, 282, 321, 248, 1408, 1823, 274, 1004, 1839, 434, 12442, 8566, 1915, 327, 650, 867, 729, 7224, 276, 254, 2836, 274, 254, 8223, 286, 387, 254, 1057, 671, 321, 276, 19722, 343, 254, 14115, 286, 1336, 1354, 254, 2835, 3461, 16, 188, 2275, 3138, 273, 248, 4686, 6131, 311, 4852, 46161, 2009, 7689, 25293, 507, 8722, 33, 20306, 272, 43871, 1548, 274, 633, 2705, 274, 2367, 343, 775, 16, 188, 31032, 343, 2234, 25293, 507, 8722, 555, 643, 272, 6508, 38113, 1036, 2705, 324, 441, 16, 750, 311, 248, 6131, 274, 520, 10786, 286, 248, 25932, 382, 343, 248, 1247, 4977, 324, 2429, 16, 731, 369, 20369, 843, 254, 5645, 345, 43135, 3285, 1491, 942, 663, 360, 7798, 265, 343, 328, 254, 5085, 1111, 910, 432, 772, 801, 4654, 14, 533, 3416, 713, 272, 1571, 409, 431, 87, 997, 1056, 343, 688, 29840, 2426, 3102, 327, 360, 573, 4674, 1111, 927, 254, 3196, 2479, 3298, 14, 282, 254, 13757, 9150, 254, 4445, 36210, 16, 750, 555, 248, 9138, 1026, 274, 28642, 834, 254, 6508, 6813, 286, 22223, 476, 88, 1151, 345, 555, 43135, 328, 3481, 16, 5650, 26245, 327, 360, 3446, 4315, 1726, 286, 272, 4954, 324, 441, 282, 3437, 641, 8577, 440, 27330, 16, 2936, 276, 15, 16257, 3520, 286, 2479, 328, 254, 2114, 4307, 254, 9347, 533, 360, 3444, 1205, 5983, 1004, 997, 16, 188, 2943, 286, 843, 852, 368, 751, 254, 19660, 79, 579, 8431, 2133, 33, 1691, 369, 633, 4733, 670, 368, 3611, 327, 368, 650, 321, 2430, 254, 2986, 33, 188, 1212, 452, 4168, 343, 1125, 12515, 17018, 276, 254, 2391, 16, 5066, 14, 2006, 274, 772, 1985, 17880, 573, 643, 11479, 407, 2391, 12515, 924, 348, 963, 348, 6974, 18003, 22482, 432, 254, 2504, 14, 27390, 2624, 4661, 819, 348, 254, 610, 1936, 588, 15, 37761, 384, 3393, 286, 2739, 297, 5880, 3391, 599, 2957, 274, 46694, 14, 3904, 16966, 14, 20922, 531, 322, 286, 610, 759, 605, 275, 74, 16, 2234, 25293, 507, 8722, 1339, 452, 2584, 4226, 274, 688, 274, 254, 2893, 286, 327, 457, 85, 843, 14, 360, 1872, 14, 360, 1652, 248, 1052, 432, 775, 16, 21256, 343, 775, 555, 643, 254, 6287, 4569, 2705, 360, 807, 452, 1663, 2362, 16, 731, 311, 15948, 348, 345, 311, 272, 8620, 276, 2900, 16, 750, 555, 6344, 441, 1419, 307, 12507, 713, 772, 10786, 16, 1180, 254, 801, 1241, 2524, 14, 345, 811, 2263, 441, 939, 254, 5831, 286, 3419, 441, 2194, 6995, 282, 513, 772, 2479, 286, 2464, 441, 282, 4149, 282, 254, 2107, 4661, 2815, 282, 254, 6268, 14, 4010, 32775, 282, 4672, 5281, 286, 997, 713, 2624, 18055, 288, 11804, 274, 16807, 5703, 16, 188, 1368, 573, 641, 2705, 276, 19859, 36210, 324, 248, 2986, 1063, 436, 16, 1334, 1837, 369, 353, 282, 5176, 38647, 33, 188, 1853, 21815, 14, 360, 452, 1845, 1663, 597, 343, 17880, 327, 452, 248, 2835, 282, 1970, 16, 1664, 311, 248, 26365, 474, 12529, 327, 6209, 2645, 254, 2150, 1213, 14, 533, 311, 35515, 343, 17593, 1186, 286, 18514, 31640, 16, 21256, 328, 248, 2133, 747, 436, 311, 3136, 10840, 348, 254, 9749, 452, 282, 3217, 282, 1464, 254, 40568, 274, 836, 9243, 8219, 14, 254, 8698, 15731, 348, 963, 348, 11530, 254, 38755, 274, 327, 2114, 16, 18234, 747, 2367, 328, 248, 30243, 459, 4698, 14, 836, 5645, 452, 2411, 772, 1892, 266, 286, 254, 2774, 1213, 555, 1628, 272, 797, 294, 909, 1579, 328, 772, 1193, 10828, 23832, 16, 188, 510, 1213, 274, 5983, 254, 36210, 324, 254, 2133, 555, 643, 274, 3518, 5442, 14, 248, 743, 4569, 2705, 1033, 1362, 16, 731, 369, 4576, 282, 915, 843, 772, 12713, 274, 14164, 276, 9749, 555, 669, 28474, 248, 1767, 1205, 2367, 328, 254, 2133, 29, 843, 387, 2008, 769, 1391, 311, 624, 666, 1635, 254, 2687, 276, 254, 43020, 390, 769, 2965, 311, 1637, 29, 666, 843, 2624, 3483, 872, 282, 321, 35515, 324, 248, 27889, 422, 997, 327, 311, 276, 19722, 343, 254, 6251, 457, 85, 7899, 16, 188, 1368, 452, 1953, 1822, 5195, 22612, 15418, 301, 7809, 9150, 270, 2175, 286, 15819, 14, 5562, 29445, 452, 34657, 327, 345, 369, 272, 17565, 249, 442, 663, 900, 282, 8033, 3901, 23718, 786, 16, 1691, 311, 633, 4733, 282, 436, 4045, 33, 188, 1212, 2980, 282, 2706, 254, 997, 274, 272, 24344, 5054, 23128, 650, 4316, 324, 248, 1034, 671, 282, 1663, 2778, 267, 25986, 15142, 23880, 1839, 663, 321, 25151, 2234, 25293, 507, 8722, 434, 4785 ]
[ 1, 390, 593, 14, 345, 1102, 248, 3029, 1337, 16106, 9339, 1963, 1045, 276, 21445, 16, 380, 2560, 1963, 17413, 2292, 276, 248, 1241, 5808, 22223, 913, 15336, 10727, 4797, 432, 512, 687, 254, 3029, 1337, 16106, 18172, 432, 289, 3507, 282, 3183, 34664, 16, 31084, 17682, 18668, 11506, 14, 254, 44987, 274, 254, 1963, 14, 286, 25361, 775, 282, 1041, 775, 248, 743, 3183, 12446, 16, 18668, 11506, 4024, 286, 3446, 272, 13940, 12446, 14, 286, 669, 12129, 441, 282, 248, 2057, 3029, 1337, 16106, 3616, 2453, 1234, 1422, 387, 520, 32781, 2342, 8266, 1454, 542, 84, 3955, 286, 1062, 9693, 322, 3955, 4301, 276, 254, 19040, 274, 21445, 14, 11321, 16, 380, 2453, 1234, 1422, 369, 31867, 14, 2057, 274, 4805, 419, 1228, 321, 1896, 4411, 942, 274, 512, 11559, 14, 67, 38943, 343, 20550, 25692, 1312, 274, 10270, 286, 20541, 19357, 286, 13216, 81, 5076, 867, 597, 276, 254, 11485, 830, 18668, 11506, 10238, 3183, 3573, 1604, 286, 17767, 32331, 266, 254, 9323, 286, 45194, 327, 1041, 597, 520, 22012, 913, 16, 310, 452, 643, 14306, 282, 1574, 13216, 81, 5076, 1544, 310, 1218, 5330, 10645, 858, 264, 457, 85, 21411, 14, 593, 324, 327, 1865, 3690, 310, 369, 29523, 282, 7829, 254, 2453, 1234, 1422, 16, 188, 1130, 311, 248, 1247, 8901, 282, 321, 2041, 282, 6761, 671, 343, 942, 432, 31842, 1015, 10762, 14, 286, 310, 715, 593, 14047, 327, 360, 403, 2041, 282, 1041, 10022, 286, 3732, 432, 512, 687, 254, 1499, 16, 443, 18106, 597, 276, 11089, 15128, 14, 360, 497, 13109, 282, 452, 248, 1247, 4458, 343, 254, 388, 32063, 3015, 432, 3779, 375, 16, 2666, 16068, 24030, 580, 1963, 14, 286, 4075, 28424, 282, 254, 3015, 387, 1733, 16, 39676, 594, 14, 254, 2653, 11399, 311, 12129, 282, 254, 31307, 14, 593, 310, 452, 24058, 12604, 274, 15910, 4532, 343, 25692, 1312, 274, 2653, 276, 24058, 9569, 15, 10572, 274, 9060, 8895, 286, 40535, 40386, 6592, 12028, 14, 8869, 5475, 282, 618, 6217, 5279, 15128, 13636, 16, 310, 3657, 4316, 16068, 6134, 248, 1450, 286, 248, 2630, 1788, 254, 13204, 274, 254, 1515, 274, 254, 9287, 16, 310, 715, 14047, 282, 321, 6841, 282, 248, 636, 663, 669, 24283, 248, 4474, 5081, 274, 21808, 6112, 286, 254, 3621, 282, 3858, 561, 286, 4540, 343, 4576, 942, 286, 3284, 16, 188, 1516, 2391, 8621, 360, 11298, 254, 3561, 19364, 14965, 14550, 14, 830, 18668, 11506, 286, 520, 1963, 497, 4610, 597, 282, 1323, 615, 913, 16, 188, 510, 3561, 19364, 14965, 900, 282, 321, 248, 9927, 5339, 15, 276, 948, 14, 387, 580, 1110, 353, 369, 628, 274, 254, 1250, 6081, 16165, 13892, 276, 254, 1924, 16, 496, 254, 4122, 338, 27, 26, 18, 457, 85, 254, 5339, 369, 8649, 561, 274, 2072, 407, 10849, 5475, 26300, 14, 1017, 5145, 4665, 14, 286, 35372, 6326, 16, 1993, 1842, 14, 841, 248, 1247, 2874, 274, 1321, 2958, 488, 8627, 286, 10344, 286, 688, 3960, 6752, 33423, 14, 254, 3326, 5339, 311, 254, 2586, 274, 248, 7656, 4331, 15, 23773, 14428, 3780, 17, 1203, 646, 17, 1025, 81, 17, 291, 1653, 420, 2488, 276, 254, 1427, 23734, 3616, 16, 188, 2432, 311, 248, 7656, 8766, 9658, 2488, 343, 45829, 35633, 276, 286, 561, 911, 21631, 7356, 315, 14, 2371, 25960, 11444, 17418, 14, 4474, 9982, 413, 494, 9931, 2057, 274, 448, 281, 23167, 4480, 286, 26455, 91, 5762, 14696, 16, 1997, 2286, 254, 9931, 403, 14584, 343, 1770, 276, 3406, 9109, 14452, 31437, 286, 2185, 343, 7161, 4800, 8012, 8128, 286, 1017, 24468, 16, 1286, 368, 403, 13227, 286, 276, 21445, 314, 395, 417, 1480, 40535, 12928, 32270, 11, 353, 311, 3989, 2692, 327, 368, 587, 1074, 4684, 387, 254, 3561, 19364, 14965, 16, 10948, 368, 650, 747, 282, 915, 248, 6268, 33, 2141, 811, 45095, 254, 5342, 274, 27150, 9927, 276, 254, 1464, 274, 21445, 16, 188, 1212, 497, 626, 282, 915, 254, 3029, 36455, 2380, 14, 532, 353, 369, 248, 783, 1345, 5198, 3396, 1362, 324, 248, 15913, 14, 286, 801, 360, 2961, 282, 4344, 742, 16, 1691, 743, 9839, 2363, 311, 3316, 1269, 248, 9230, 4467, 8745, 33, 188, 4412, 254, 9629, 6571, 10494, 14, 360, 12506, 324, 254, 13713, 5439, 35429, 276, 254, 4617, 274, 254, 6106, 16, 188, 1931, 4400, 5342, 265, 713, 248, 1350, 274, 4805, 306, 14494, 16, 188, 1212, 13857, 254, 6676, 742, 276, 254, 1364, 25979, 22432, 274, 254, 4948, 14, 286, 348, 254, 1665, 3297, 282, 27756, 254, 3029, 1337, 16106, 10404, 3297, 16, 1664, 497, 5534, 26347, 16, 188, 2432, 497, 10307, 46457, 274, 385, 29266, 386, 1921, 14, 21980, 1450, 70, 559, 14, 286, 25870, 7921, 36210, 16, 188, 510, 38055, 497, 13123, 14, 286, 573, 1125, 286, 20369, 27102, 2462, 16, 188, 43, 7434, 254, 5534, 6450, 12068, 276, 254, 2042, 14185, 16, 188, 510, 35083, 274, 254, 913, 369, 254, 5604, 81, 267, 3183, 12446, 18256, 16, 18668, 11506, 311, 248, 1247, 913, 1318, 16, 188, 1304, 2225, 345, 311, 9753, 15, 1203, 1228, 14, 1012, 327, 345, 311, 276, 520, 607, 18, 457, 85, 16, 188, 43, 1309, 353, 4313, 747, 10932, 6634, 597, 1863, 633, 607, 18, 457, 85, 555, 248, 3837, 12557, 1040, 16, 310, 2035, 328, 11006, 17934, 31084, 282, 1242, 2367, 343, 520, 3183, 3573, 1059, 959, 16, 2552, 310, 587, 2941, 282, 1115, 254, 26347, 286, 360, 587, 6023, 772, 2086, 286, 1649, 248, 913, 328, 254, 3843, 16, 17334, 23072, 70, 592, 286, 10932, 6634, 286, 11921, 12865, 286, 4895, 688, 905, 288, 13053, 972, 1045, 286, 626, 310, 4533, 360, 452, 3136, 248, 2365, 2764, 348, 248, 22012, 913, 16, 188, 1516, 5690, 369, 9024, 276, 19827, 286, 30343, 18256, 14, 11752, 14, 3183, 2949, 14, 21445, 14, 3029, 1337, 16106, 328, 4029, 338, 26, 14, 374, 18, 19, 19, 407, 7158, 36511, 8107, 16, 188, 17041, 17657, 3, 310, 699, 254, 23072, 18256, 36210, 650, 321, 593, 3837, 16, 188, 15179, 7753, 3, 1395, 8855, 573, 248, 1755, 6723, 387, 254, 3029, 1337, 16106, 913, 16, 310, 4285, 282, 1382, 282, 23161, 277, 977, 1063, 353, 2956, 16, 188, 23471, 1230, 779, 5246, 311, 2169 ]
[ 1, 1824, 3570, 688, 274, 254, 2226, 17943, 310, 715, 9999, 14938, 14, 1996, 276, 618, 2342, 274, 5745, 915, 1789, 327, 310, 915, 276, 618, 6567, 7885, 16, 12809, 1002, 670, 310, 715, 47360, 6567, 14, 310, 476, 669, 1872, 254, 362, 487, 266, 286, 254, 2269, 286, 353, 1606, 327, 310, 807, 669, 3177, 942, 663, 403, 4315, 282, 321, 3136, 5252, 16, 188, 4234, 310, 807, 3177, 688, 942, 663, 403, 3136, 5252, 14, 345, 249, 8563, 310, 1038, 625, 1623, 1521, 327, 1181, 16, 188, 1212, 403, 1012, 276, 254, 6815, 1722, 274, 254, 802, 374, 18, 19, 21, 286, 327, 311, 843, 254, 671, 19250, 593, 3684, 16, 26742, 368, 774, 4143, 327, 353, 4667, 254, 1722, 670, 353, 369, 1427, 10244, 670, 368, 19080, 327, 276, 4109, 16, 310, 4428, 625, 2780, 843, 3684, 353, 311, 327, 436, 587, 1663, 282, 1477, 959, 16, 731, 311, 254, 6815, 1722, 286, 360, 403, 425, 1821, 254, 4122, 15, 2823, 16, 188, 7979, 1722, 274, 39346, 479, 668, 618, 4028, 830, 668, 1364, 802, 16, 11389, 369, 276, 378, 18727, 8228, 286, 2323, 526, 87, 1422, 254, 801, 286, 1250, 2065, 274, 254, 1722, 4028, 374, 18, 19, 20, 16, 2552, 24437, 479, 669, 343, 618, 3224, 360, 5108, 671, 2292, 387, 5626, 5153, 16, 188, 5705, 2144, 276, 254, 1364, 2065, 274, 254, 1722, 670, 310, 2350, 282, 17247, 334, 86, 334, 286, 29583, 809, 8874, 14, 14685, 605, 285, 16, 496, 29583, 809, 8874, 310, 5108, 811, 688, 1603, 2942, 286, 835, 310, 2350, 1683, 16, 6064, 526, 85, 479, 668, 254, 1643, 1438, 282, 42204, 670, 626, 369, 641, 13144, 2066, 310, 573, 282, 1431, 324, 1694, 2942, 16, 188, 43, 452, 2631, 282, 3510, 248, 2187, 2966, 14, 811, 248, 1815, 843, 310, 650, 6761, 618, 671, 324, 436, 1722, 16, 0, 44030, 3836, 14, 427, 16, 37, 16, 428, 4953, 26218, 5968, 328, 7608, 338, 19, 19, 3648, 4099, 324, 254, 10438, 15, 1119, 776, 338, 20, 55, 3206, 7292, 16, 380, 3206, 7292, 587, 1354, 1619, 432, 4029, 374, 21, 15, 20, 23, 387, 254, 655, 11774, 26218, 23387, 276, 9632, 38012, 14, 4851, 14, 3444, 4598, 407, 254, 338, 20, 55, 3206, 10313, 46080, 432, 4029, 374, 24, 15, 20, 26, 14, 830, 495, 24, 17305, 587, 321, 362, 3081, 324, 615, 4688, 282, 1041, 254, 2379, 338, 26, 15, 1318, 338, 20, 55, 3206, 10313, 22257, 16, 188, 510, 338, 19, 19, 3648, 4099, 324, 254, 338, 20, 55, 3206, 7292, 497, 6596, 432, 4953, 26218, 434, 7292, 9494, 5869, 789, 286, 587, 1901, 6636, 15, 13156, 1015, 2957, 276, 2194, 16, 380, 7292, 9494, 5869, 789, 497, 4095, 282, 2023, 17305, 2362, 254, 2504, 343, 254, 4954, 282, 2411, 3103, 343, 10313, 4953, 276, 248, 4610, 327, 3290, 9514, 14, 6916, 14, 286, 790, 16, 188, 4369, 254, 3206, 7292, 14, 4953, 26218, 587, 19287, 338, 23, 3648, 282, 254, 374, 18, 19, 26, 338, 20, 55, 3206, 10313, 46080, 16, 8995, 3648, 587, 6429, 374, 19, 17305, 3661, 3516, 324, 7386, 14, 1648, 7261, 432, 254, 374, 18, 19, 26, 338, 19, 55, 39780, 970, 17097, 263, 1036, 286, 338, 20, 432, 254, 374, 18, 19, 25, 338, 19, 55, 3206, 10313, 34512, 11899, 314, 6197, 1779, 481, 188, 510, 338, 20, 55, 3206, 10313, 22257, 587, 321, 2379, 1013, 328, 4029, 374, 26, 343, 338, 20, 55, 3206, 10313, 18489, 1527, 432, 4087, 338, 27, 15, 20, 20, 16, 10313, 4953, 587, 835, 1115, 276, 254, 13671, 2834, 39, 9006, 2371, 347, 35, 4, 22290, 276, 40865, 285, 1161, 40853, 14, 8753, 432, 4087, 374, 23, 15, 21200, 374, 16, 188, 54, 18920, 24842, 29, 4852, 14500, 14, 33017, 16, 188, 9249, 12720, 378, 25460, 29, 34272, 81, 331, 1016, 33794, 67, 14, 33017, 16, 188, 15764, 8275, 2253, 92, 777, 29, 4270, 5852, 14, 427, 16, 44, 16, 188, 53, 1377, 7678, 5258, 29, 16552, 27220, 14, 427, 16, 37, 16, 188, 23317, 32397, 2431, 29, 8514, 9496, 14, 33017, 16, 188, 46645, 14894, 29, 595, 35739, 473, 8537, 14, 33017, 16, 188, 48041, 6132, 17831, 29, 21634, 34272, 81, 14, 427, 16, 47, 16, 188, 17921, 35541, 313, 4039, 29, 8514, 9496, 14, 33017, 16, 188, 36013, 15877, 9114, 12071, 29, 4117, 35819, 14, 23490, 16, 188, 12759, 2569, 7813, 583, 29, 25373, 661, 67, 6874, 14, 427, 16, 44, 16, 188, 6687, 2145, 16946, 2122, 273, 29, 1201, 14298, 655, 466, 5154, 14, 33017, 16, 188, 54, 18778, 16589, 5232, 29, 4852, 14500, 14, 33017, 16, 188, 41, 23037, 443, 1622, 75, 26554, 29, 2995, 268, 25372, 14, 27678, 16, 188, 42347, 7092, 6167, 29, 416, 6506, 11667, 14, 427, 16, 59, 16, 188, 4082, 8275, 27972, 29, 9148, 13798, 662, 2118, 14, 473, 251, 16, 188, 54, 623, 1939, 526, 44457, 29, 47130, 12782, 14, 33017, 16, 188, 57, 91, 1559, 388, 4548, 753, 29, 25136, 19349, 67, 14, 33017, 16, 188, 37812, 5573, 15692, 252, 29, 4852, 36915, 14, 33017, 16, 188, 44700, 18838, 14775, 29, 4117, 418, 2872, 14, 473, 251, 16, 188, 37, 578, 15802, 258, 24454, 29, 5891, 1348, 4762, 14, 20017, 16, 188, 15639, 5848, 31616, 29, 6341, 258, 8228, 14, 427, 16, 59, 16, 188, 48, 10236, 28506, 1348, 29, 33393, 16152, 14, 11816, 16, 188, 12878, 12330, 43290, 29, 33976, 416, 36006, 14, 27678, 16, 188, 2231, 1219, 9026, 265, 29, 771, 3507, 35750, 14, 33017, 16, 188, 30592, 11194, 6180, 75, 29, 6341, 258, 8228, 14, 427, 16, 59, 16, 188, 47, 1169, 8543, 42280, 29, 5626, 27128, 14, 26371, 16, 188, 45518, 4966, 2953, 1711, 29, 15701, 14, 27678, 16, 188, 37, 1326, 46093, 1923, 29, 9495, 12782, 14, 427, 16, 37, 16, 188, 44, 518, 704, 2141, 442, 2407, 29, 10966, 6558, 4762, 14, 33017, 16, 188, 25236, 704, 367, 3473, 263, 29, 9921, 12776, 14, 323, 16, 37, 16, 188, 18208, 19762, 297, 1621, 258, 91, 29, 4852, 14500, 14, 33017, 16, 188, 39, 14243, 26688, 29, 25136, 19349, 67, 14, 33017, 16, 188, 39, 14243, 367, 723, 10348, 4595, 29, 18130, 2081, 6728 ]
[ 1, 774, 321, 2041, 282, 1431, 1385, 254, 260, 3102, 274, 254, 21467, 16, 1180, 360, 16502, 283, 417, 1385, 15020, 286, 2531, 14, 532, 1385, 8398, 995, 14, 1385, 8898, 14, 1385, 254, 35118, 274, 254, 13486, 274, 436, 1499, 14, 1385, 12096, 25512, 1232, 276, 1017, 4902, 16, 188, 17041, 44872, 10451, 338, 22, 14, 374, 18, 19, 26, 4528, 188, 17613, 10632, 2045, 706, 17362, 3113, 254, 25454, 9493, 2572, 254, 9174, 469, 2132, 27385, 338, 19, 16, 19, 19, 16, 20, 18, 19, 26, 16, 188, 5823, 49, 3404, 14384, 1122, 500, 1505, 374, 18, 19, 27, 28, 5525, 1675, 1122, 7054, 59, 7800, 4497, 8500, 23669, 59, 706, 39462, 30879, 5082, 310, 25857, 10863, 9846, 399, 30304, 367, 7604, 27619, 416, 2026, 54, 10577, 24666, 3761, 7370, 3, 188, 3868, 9675, 28, 3792, 3653, 6754, 939, 520, 338, 21, 394, 3074, 328, 520, 1464, 1285, 254, 9199, 18576, 15197, 16, 367, 21832, 254, 6032, 324, 7290, 687, 775, 286, 520, 1963, 16, 9887, 1012, 3653, 311, 276, 2963, 387, 254, 443, 20, 18, 4654, 16, 188, 7902, 282, 254, 813, 286, 254, 338, 25, 394, 1707, 328, 4062, 10882, 32813, 276, 254, 13166, 14, 254, 4633, 12339, 1707, 616, 10278, 328, 254, 36388, 4470, 274, 13784, 6770, 786, 533, 403, 34196, 286, 616, 44171, 459, 3407, 311, 4029, 338, 25, 14, 374, 18, 19, 27, 276, 642, 2906, 254, 338, 25, 394, 274, 254, 813, 394, 1722, 274, 374, 18, 19, 27, 16, 1469, 669, 25416, 327, 6551, 314, 264, 248, 3326, 3879, 11, 587, 751, 888, 713, 3780, 328, 3237, 16, 374, 18, 394, 17, 20, 19, 297, 374, 18, 19, 27, 580, 802, 6214, 274, 254, 7119, 16, 188, 19499, 1318, 10557, 28, 10240, 5626, 11290, 27337, 16768, 14, 4257, 813, 14, 374, 18, 19, 26, 16, 188, 1304, 7583, 328, 520, 47690, 4897, 28, 1822, 254, 7664, 274, 254, 1364, 1842, 403, 5806, 3280, 387, 254, 1057, 671, 16, 13166, 15122, 249, 941, 311, 9121, 977, 1063, 772, 2836, 286, 747, 4065, 30836, 14, 254, 7917, 3284, 403, 9121, 624, 7017, 286, 624, 539, 1538, 16, 8783, 14, 276, 254, 2803, 4619, 254, 1499, 452, 593, 1125, 5457, 14, 1648, 4903, 14, 8031, 14, 1686, 81, 15, 44914, 14, 9771, 9271, 14, 8698, 14, 3358, 15325, 18863, 14, 9197, 14, 12096, 286, 9343, 14, 5806, 2325, 2292, 282, 3217, 436, 1499, 327, 457, 85, 2102, 714, 1672, 273, 687, 254, 4873, 713, 254, 490, 35989, 14, 282, 248, 1110, 274, 641, 1076, 16, 7467, 749, 670, 368, 915, 512, 836, 7664, 9121, 14, 865, 327, 310, 715, 2734, 14, 1002, 387, 254, 3260, 16, 188, 6609, 2572, 321, 343, 368, 328, 436, 9205, 286, 1336, 368, 2033, 16, 188, 2721, 268, 298, 14, 45102, 8529, 1091, 15905, 544, 285, 47789, 2177, 338, 27, 27, 20, 16, 188, 42217, 28, 380, 6667, 4329, 276, 436, 3802, 403, 254, 7724, 8075, 274, 254, 2410, 16, 1286, 368, 452, 248, 1840, 343, 254, 35216, 274, 254, 1460, 14, 4356, 2960, 254, 2410, 16, 188, 3602, 11903, 282, 14104, 404, 2075, 6317, 452, 5048, 6072, 1080, 33, 0, 1516, 6879, 2586, 774, 2023, 4708, 390, 10144, 282, 1303, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 6879, 4235, 286, 5146, 16, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 2701, 641, 13849, 14, 7304, 447, 14, 390, 642, 31145, 23822, 668, 665, 1303, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 6879, 4235, 390, 2543, 15, 14417, 5146, 327, 774, 321, 22647, 14, 12140, 432, 14, 390, 7729, 282, 436, 2586, 16, 330, 2951, 282, 248, 1303, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 6879, 2586, 1042, 417, 1563, 327, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 980, 10804, 254, 2517, 390, 889, 274, 819, 6879, 2586, 390, 695, 7109, 16, 496, 1596, 14, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 311, 417, 248, 3027, 282, 390, 5346, 324, 665, 12764, 368, 774, 4750, 713, 343, 2543, 4532, 14, 1002, 603, 368, 2941, 274, 819, 4532, 314, 264, 889, 248, 2951, 282, 819, 4532, 11, 432, 272, 436, 2586, 16, 9755, 14, 368, 14015, 286, 5041, 327, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 311, 417, 5346, 324, 254, 11343, 274, 819, 5854, 4235, 390, 5146, 14, 286, 311, 417, 5346, 390, 15480, 324, 665, 2517, 14, 3134, 14, 3462, 14, 390, 642, 4605, 328, 390, 2066, 432, 1093, 4235, 390, 5146, 16, 2028, 368, 2218, 248, 1303, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 6879, 2586, 14, 4356, 2033, 327, 353, 311, 3781, 432, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 286, 327, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 1042, 417, 1423, 254, 2517, 328, 327, 6879, 2586, 16, 731, 311, 597, 282, 368, 282, 1354, 38392, 282, 3889, 4684, 432, 14377, 14, 33923, 14, 6549, 17057, 11747, 14, 286, 642, 7620, 26095, 5495, 14, 286, 282, 3889, 633, 1460, 348, 368, 41699, 4426, 16, 188, 2976, 4708, 282, 436, 6879, 2586, 1339, 321, 6825, 276, 3899, 407, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 603, 665, 274, 254, 1527, 10114, 28, 254, 2951, 28, 314, 67, 11, 2706, 12653, 1444, 665, 3135, 328, 436, 6879, 2586, 390, 889, 642, 5445, 327, 6803, 276, 665, 1026, 254, 5150, 9498, 390, 7094, 274, 665, 2517, 1525, 436, 2586, 29, 314, 68, 11, 24524, 633, 2860, 343, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 29, 314, 69, 11, 15641, 327, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 1174, 1595, 390, 980, 10804, 368, 14, 633, 6879, 2586, 14, 390, 633, 2497, 390, 1830, 26349, 29, 286, 314, 70, 11, 1225, 3117, 390, 23584, 33667, 668, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 390, 4859, 4577, 254, 1157, 9585, 2258, 343, 254, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 1390, 390, 39043, 16, 1260, 248, 1949, 1580, 282, 1129, 11152, 282, 2951, 282, 436, 2586, 14, 368, 5041, 327, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 774, 387, 665, 671, 14, 276, 695, 7724, 8411, 14, 23407, 8969, 282, 2951, 282, 436, 6879, 2586, 16, 496, 819, 2288 ]
[ 1, 870, 61, 4040, 313, 63, 477, 1076, 270, 188, 188, 5, 4145, 1142, 282, 1213, 248, 2545, 188, 5, 480, 311, 248, 30214, 210, 188, 5, 246, 314, 16964, 3578, 14, 16964, 8626, 14, 16964, 35436, 11, 188, 5, 246, 314, 16964, 3578, 14, 16964, 8626, 11, 188, 5, 246, 314, 16964, 3578, 41786, 188, 1510, 1382, 10, 3299, 14, 76, 2192, 477, 480, 6500, 426, 8249, 10, 76, 11, 477, 603, 246, 480, 6500, 2224, 495, 28, 373, 426, 480, 61, 18, 874, 12, 76, 61, 19, 1077, 424, 76, 61, 20, 3185, 477, 27985, 480, 6500, 2224, 374, 28, 373, 426, 480, 61, 18, 874, 12, 76, 61, 19, 3185, 477, 27985, 480, 6500, 2224, 338, 28, 373, 426, 480, 61, 18, 874, 11, 477, 1076, 501, 188, 188, 22191, 22191, 6498, 1784, 3985, 188, 22191, 22191, 6498, 1784, 3985, 188, 188, 339, 4623, 1554, 870, 2224, 684, 870, 7073, 870, 5141, 5691, 188, 188, 22191, 22191, 6498, 1784, 3985, 5269, 534, 0, 33734, 25702, 6161, 40369, 188, 3933, 3512, 1369, 3512, 188, 3933, 465, 1481, 11955, 333, 16, 2137, 16, 18730, 1369, 13689, 534, 188, 2360, 25702, 10, 5310, 16, 6917, 2192, 477, 40369, 15730, 319, 25702, 6905, 40369, 477, 8091, 65, 302, 426, 13689, 16, 12955, 10, 5310, 16, 2689, 10, 24, 22, 581, 13689, 16, 38577, 4664, 2012, 22950, 319, 3226, 302, 11162, 21901, 3505, 65, 2290, 31, 4937, 11, 477, 1246, 65, 3214, 426, 13689, 16, 12955, 10, 5310, 16, 16014, 11, 477, 341, 65, 3214, 426, 13689, 16, 12955, 10, 5310, 16, 16014, 11, 1465, 40369, 25702, 6376, 40369, 477, 804, 4623, 4338, 21257, 1262, 14, 10262, 252, 65, 2137, 31, 11033, 14, 1246, 65, 3214, 31, 18, 14, 341, 65, 3214, 31, 18, 2192, 647, 1800, 603, 10262, 252, 65, 2137, 28, 647, 1827, 16, 90, 65, 3214, 426, 10262, 252, 65, 2137, 4862, 90, 5868, 647, 1827, 16, 91, 65, 3214, 426, 10262, 252, 65, 2137, 4862, 91, 5868, 647, 1800, 1952, 28, 647, 1800, 253, 1827, 16, 90, 65, 3214, 426, 1246, 65, 3214, 647, 1800, 253, 1827, 16, 91, 65, 3214, 426, 341, 65, 3214, 1465, 804, 4623, 1320, 21257, 1262, 2192, 1800, 814, 22143, 28, 641, 3709, 647, 1076, 270, 9, 90, 40285, 1262, 16, 90, 65, 3214, 881, 554, 40285, 1262, 16, 91, 65, 3214, 15553, 1465, 804, 10112, 899, 10, 1262, 2192, 1800, 814, 22143, 28, 641, 3709, 647, 40369, 27284, 4083, 1740, 40369, 647, 1076, 550, 926, 347, 90, 1356, 1827, 16, 90, 65, 3214, 14, 926, 347, 91, 1356, 1827, 16, 91, 65, 3214, 926, 744, 1465, 1800, 804, 2706, 65, 14317, 65, 3214, 10, 1262, 14, 2694, 65, 90, 65, 10662, 14, 2694, 65, 91, 65, 10662, 2192, 477, 1800, 253, 40369, 44906, 248, 1844, 276, 533, 254, 1844, 274, 436, 1740, 311, 3198, 274, 254, 477, 1800, 253, 8769, 494, 4131, 343, 40038, 4667, 348, 4616, 14, 324, 10160, 254, 743, 2382, 40369, 477, 1800, 253, 743, 65, 90, 426, 1827, 24051, 1161, 3576, 65, 14317, 65, 10289, 10, 3958, 65, 90, 65, 10662, 14, 1827, 16, 90, 65, 3214, 11, 477, 1800, 253, 743, 65, 91, 426, 1827, 24051, 1161, 3576, 65, 14317, 65, 10289, 10, 3958, 65, 91, 65, 10662, 14, 1827, 16, 91, 65, 3214, 11, 477, 1800, 253, 1076, 25702, 10, 90, 65, 3214, 31, 1775, 65, 90, 14, 341, 65, 3214, 31, 1775, 65, 91, 11, 1465, 1800, 1196, 4515, 9102, 477, 1800, 804, 4623, 1161, 3576, 65, 14317, 65, 10289, 10, 3958, 65, 10662, 14, 7638, 65, 3214, 2192, 477, 1800, 253, 8188, 426, 3512, 1067, 475, 2694, 65, 10662, 477, 1800, 253, 743, 65, 3214, 426, 7638, 65, 3214, 428, 8188, 477, 1800, 253, 1076, 470, 603, 743, 65, 3214, 653, 470, 1952, 743, 65, 3214, 575, 0, 5, 416, 1412, 455, 21033, 7785, 2157, 972, 188, 5, 188, 5, 8064, 374, 18, 19, 23, 5396, 3567, 16, 1822, 12142, 31794, 16, 188, 5, 188, 5, 826, 2024, 311, 1903, 3571, 29, 368, 476, 24692, 353, 286, 17, 264, 9741, 188, 5, 353, 758, 254, 2349, 274, 254, 11641, 4078, 5105, 4493, 348, 3737, 407, 188, 5, 254, 7446, 8870, 6625, 29, 1996, 2629, 374, 274, 254, 4493, 14, 390, 314, 256, 188, 5, 633, 4360, 11, 665, 1938, 2629, 16, 188, 5, 188, 5, 826, 2024, 311, 5770, 276, 254, 3409, 327, 353, 587, 321, 4081, 14, 532, 188, 5, 14588, 8867, 22458, 29, 1269, 1002, 254, 10195, 17036, 274, 188, 5, 20242, 390, 19917, 6474, 330, 19783, 19517, 16, 2512, 254, 11641, 188, 5, 4078, 5105, 4493, 324, 624, 4139, 16, 188, 5, 188, 5, 1395, 933, 452, 2865, 248, 3378, 274, 254, 11641, 4078, 5105, 4493, 188, 5, 2049, 343, 436, 2024, 29, 603, 417, 14, 3510, 282, 254, 7446, 8870, 188, 5, 6625, 14, 3567, 896, 607, 27, 17156, 13103, 14, 31093, 495, 21, 18, 14, 9438, 14, 6724, 470, 20, 19, 19, 19, 15, 19, 21, 18, 25, 4953, 188, 5, 188, 188, 31311, 1516, 14769, 11023, 254, 3621, 324, 416, 1412, 455, 282, 15820, 272, 330, 3164, 22, 2382, 16, 188, 188, 1130, 311, 272, 5630, 282, 254, 269, 6269, 18339, 274, 11610, 5493, 14, 533, 669, 10238, 188, 35, 3164, 22, 3762, 16, 380, 2967, 1129, 327, 436, 14769, 587, 4503, 3051, 1735, 282, 188, 318, 15793, 624, 4479, 1460, 314, 71, 16, 73, 16, 17779, 4227, 3838, 481, 188, 31311, 188, 188, 870, 7382, 870, 426, 347, 18208, 18981, 653, 1014, 438, 5304, 34, 9644, 16, 679, 21103, 188, 2855, 4994, 188, 2855, 13009, 188, 2855, 7481, 188, 2855, 295, 188, 2855, 1082, 188, 2855, 14310, 3039, 188, 188, 3933, 7048, 2755, 22, 1369, 2361, 22, 188, 3933, 7048, 2755, 22, 1369, 931, 65, 11548, 188, 188, 14226, 28, 477, 1800, 17669, 1305, 311, 14842, 16, 477, 432, 7048, 2755, 22, 1369, 2361, 22, 65, 18002, 188, 16364, 16445, 4608, 28, 477, 2361, 22, 65, 18002, 426, 8037, 188, 188, 3933, 7048, 2755, 22, 1369, 2361, 22, 65, 25859, 188, 3933, 7048, 2755, 22, 1369, 2361, 22, 65, 5530, 188, 3933, 7048, 2755, 22, 1369, 2361, 22, 65, 4113, 188 ]
[ 1, 188, 2300, 254, 7315, 2824, 14, 665, 5083, 282, 6551, 457, 85, 4403, 432, 254, 5246, 1091, 2584, 276, 19951, 24652, 26987, 1285, 248, 7213, 282, 7334, 276, 374, 18, 18, 24, 1091, 587, 321, 769, 8181, 1756, 17124, 6167, 7917, 16, 188, 1590, 1982, 2996, 369, 11876, 282, 417, 6101, 324, 21623, 6551, 407, 327, 5246, 14, 596, 3061, 10075, 457, 86, 13057, 324, 775, 8563, 1756, 749, 17124, 6167, 14, 663, 311, 417, 2367, 324, 248, 7236, 532, 663, 5094, 520, 6101, 324, 6551, 276, 254, 1427, 2728, 3505, 16, 188, 686, 19229, 14, 830, 254, 763, 8940, 36300, 1364, 2286, 14, 10869, 749, 254, 7315, 1848, 457, 86, 1041, 729, 1141, 665, 1637, 274, 6551, 1091, 532, 688, 573, 3418, 668, 9407, 16, 188, 1590, 2686, 2169, 274, 8446, 311, 748, 555, 41592, 3148, 597, 1756, 749, 31676, 2862, 3836, 14, 272, 440, 30431, 20121, 16, 0, 29670, 1525, 254, 23072, 274, 254, 5979, 14, 19113, 7194, 8898, 274, 3629, 785, 2292, 282, 2706, 248, 16448, 9960, 327, 555, 1845, 38431, 636, 14, 417, 7750, 324, 695, 13296, 592, 14, 532, 669, 324, 695, 37111, 286, 4609, 16, 1678, 14, 1863, 254, 4122, 15, 19, 27, 18, 18, 85, 14, 626, 369, 641, 347, 357, 22062, 15, 19445, 2546, 407, 533, 33491, 807, 321, 23470, 3333, 188, 510, 443, 5082, 369, 254, 801, 282, 2546, 877, 254, 6621, 286, 5575, 274, 33491, 2474, 282, 2004, 454, 14, 1599, 15315, 14, 18130, 286, 2556, 256, 16, 1993, 403, 4489, 315, 1873, 348, 254, 576, 35316, 16, 10770, 14, 254, 27549, 1918, 6342, 274, 3840, 434, 576, 35316, 274, 24327, 20151, 311, 254, 10615, 15350, 19401, 274, 10225, 254, 3184, 274, 665, 16213, 14, 9564, 276, 254, 1499, 16, 826, 2034, 327, 16213, 3184, 476, 321, 4329, 276, 248, 10615, 3335, 286, 6211, 865, 4414, 748, 596, 403, 10982, 16, 1583, 642, 975, 555, 254, 19266, 286, 10615, 14512, 348, 254, 443, 5082, 4172, 16, 188, 510, 27549, 1918, 6342, 274, 3840, 5767, 327, 368, 769, 26343, 633, 15158, 7504, 348, 368, 650, 5053, 248, 7151, 1397, 1997, 3086, 44011, 14, 360, 563, 248, 3109, 1949, 16, 839, 587, 1970, 368, 668, 380, 17044, 331, 1480, 16, 188, 2943, 360, 3856, 274, 16213, 10408, 14, 360, 403, 2602, 13948, 282, 254, 5759, 274, 10408, 16, 330, 16213, 327, 311, 2714, 10128, 1024, 6141, 286, 36839, 3834, 457, 311, 10408, 1391, 14, 747, 248, 5757, 274, 6141, 1773, 16, 7553, 254, 1988, 14, 2714, 67, 16213, 274, 254, 801, 1773, 14960, 188, 41, 5082, 457, 85, 10408, 15, 4820, 273, 975, 34403, 248, 2413, 432, 399, 282, 1472, 14, 343, 254, 4706, 399, 6134, 324, 10408, 23030, 286, 11832, 343, 3509, 10408, 282, 254, 4706, 1472, 16, 731, 3517, 14, 3004, 14, 327, 512, 642, 2533, 1129, 254, 1057, 14, 248, 16213, 274, 443, 10408, 650, 321, 1755, 683, 580, 274, 388, 10408, 16, 6499, 274, 254, 10408, 40415, 403, 1062, 15662, 286, 476, 756, 321, 7318, 407, 248, 9899, 4977, 16, 188, 2943, 6143, 311, 7136, 282, 1247, 8101, 274, 4112, 286, 3360, 3555, 3198, 254, 5979, 14, 353, 4196, 28646, 713, 3506, 33491, 16, 6236, 436, 1213, 274, 8641, 14, 1330, 20033, 274, 6143, 390, 642, 34920, 476, 2411, 17675, 276, 254, 16213, 954, 1993, 403, 1869, 4662, 45643, 16, 188, 2943, 8695, 16213, 19266, 14, 272, 6311, 18840, 2006, 2533, 819, 348, 1162, 14, 1921, 14, 6444, 14, 3629, 14, 286, 1844, 274, 836, 45643, 286, 665, 5854, 10597, 16, 750, 669, 18840, 843, 836, 2730, 254, 4440, 7094, 274, 254, 16213, 16, 3774, 641, 16213, 311, 9415, 6141, 14, 254, 7793, 353, 3144, 282, 1129, 1903, 274, 271, 5452, 6247, 286, 45643, 14, 254, 2103, 695, 1294, 16, 188, 15, 403, 2156, 4607, 282, 254, 16402, 4977, 16, 188, 9928, 45643, 286, 271, 5452, 6247, 476, 756, 321, 2254, 407, 248, 9899, 16213, 3680, 255, 758, 338, 18, 90, 27379, 16, 1860, 254, 16402, 4977, 14, 248, 28125, 19, 286, 272, 17354, 20, 16213, 774, 997, 4414, 254, 1057, 14, 532, 836, 33491, 403, 3136, 1015, 276, 2349, 274, 19266, 16, 1180, 436, 1865, 14, 633, 4249, 383, 699, 311, 282, 4349, 432, 248, 15158, 7504, 3569, 6311, 286, 7692, 6621, 368, 476, 4377, 16, 188, 36, 910, 1232, 10487, 282, 254, 4662, 286, 5854, 3065, 1665, 327, 4699, 11088, 432, 254, 16213, 16, 188, 2943, 360, 3856, 274, 254, 3183, 276, 248, 16213, 14, 360, 1563, 254, 11398, 274, 3065, 1665, 713, 512, 254, 21607, 274, 254, 36002, 16, 188, 35, 16213, 434, 33881, 21098, 311, 254, 2332, 274, 13302, 283, 248, 16213, 11029, 14, 286, 254, 3003, 274, 1665, 286, 3524, 3551, 4130, 407, 23462, 1525, 254, 8577, 16, 188, 510, 443, 5082, 4504, 248, 2537, 15, 7495, 4172, 432, 46498, 282, 27887, 282, 12853, 877, 33491, 2474, 282, 843, 963, 596, 403, 2541, 16, 188, 11518, 1096, 256, 311, 1143, 597, 274, 338, 18, 18, 2704, 16, 496, 254, 1068, 274, 248, 16213, 327, 311, 1637, 683, 580, 2057, 1096, 256, 14, 360, 6094, 353, 756, 276, 2704, 390, 23145, 16, 330, 16213, 327, 311, 580, 15, 86, 7190, 85, 274, 248, 1096, 256, 311, 6117, 282, 348, 1129, 338, 18, 23145, 390, 1869, 248, 338, 18, 15, 24264, 16, 24327, 85, 687, 338, 18, 18, 23145, 403, 6117, 282, 276, 1096, 1781, 286, 1071, 20551, 14, 348, 276, 338, 16, 18, 26, 261, 1601, 14, 374, 16, 19, 23, 261, 1601, 14, 286, 593, 328, 16, 188, 1934, 254, 16402, 4977, 14, 626, 311, 641, 7775, 2967, 869, 248, 16213, 327, 311, 890, 27, 23145, 286, 580, 533, 311, 338, 16, 18, 18, 261, 1601, 16, 1678, 14, 254, 3326, 650, 2042, 3136, 248, 2298, 1637, 683, 254, 5987, 16, 5596, 33491, 274, 4363, 2713, 476, 2042, 1015, 8101, 1707, 328, 512, 254, 642, 2533, 274, 10408, 14, 19266, 286, 2541, 16, 1822, 642, 2533, 1129, 4363, 428, 2541, 14, 19266, 286, 10408, 428, 353, 3517, 327, 248, 3936, 8577, 587, 2042, 1181, 624, 683, 248, 4434, 580, 16, 188, 3294, 3086, 44011, 14, 360, 1852, 436, 607, 394, 331, 348, 11897, 348, 2004, 454 ]
[ 1, 8101, 276, 4682, 18292, 14, 5569, 4859, 5656, 407, 254, 4532, 390, 4859, 4285, 407, 254, 7540, 32105, 16, 496, 254, 2288, 327, 248, 3027, 1042, 417, 2014, 695, 3768, 14, 254, 7540, 32105, 2992, 2353, 254, 642, 3027, 282, 2014, 254, 2057, 4682, 18292, 276, 1316, 324, 254, 15582, 282, 321, 4095, 16, 188, 10, 21, 11, 30944, 282, 2014, 254, 4682, 18292, 15229, 407, 254, 7540, 32105, 1525, 254, 4092, 20030, 774, 2759, 254, 7540, 32105, 282, 2722, 254, 1068, 1269, 14348, 282, 254, 6215, 274, 28281, 248, 743, 2662, 328, 254, 1057, 2443, 387, 248, 1938, 3798, 16, 188, 10, 19, 11, 7693, 254, 4532, 452, 417, 5656, 2154, 254, 1162, 274, 2672, 14, 254, 15582, 2992, 2793, 274, 1241, 2672, 16, 188, 10, 20, 11, 1822, 2672, 274, 254, 15582, 2992, 321, 2066, 14, 37429, 286, 3781, 16, 380, 3792, 274, 254, 15582, 2992, 2120, 248, 1533, 4110, 14, 5569, 4859, 5656, 869, 254, 4532, 16, 188, 10, 21, 11, 9360, 1129, 5618, 14, 272, 10868, 15582, 3442, 2992, 855, 248, 26192, 274, 14512, 286, 274, 3070, 3110, 414, 286, 31069, 16, 1997, 254, 1057, 671, 14, 254, 3442, 2992, 17110, 276, 3899, 665, 5819, 533, 1503, 1862, 5884, 282, 5118, 23834, 348, 282, 254, 2672, 457, 11343, 14, 37429, 414, 390, 13886, 16, 330, 3442, 2992, 669, 2023, 1460, 328, 520, 390, 616, 5537, 286, 11030, 3981, 14, 3838, 16, 314, 8658, 17, 20266, 2138, 854, 481, 380, 7540, 32105, 2992, 3461, 254, 15756, 286, 14751, 17, 20266, 2138, 854, 282, 254, 4532, 286, 4842, 248, 20030, 324, 665, 5536, 16, 188, 10, 22, 11, 6236, 254, 1068, 14, 254, 15582, 2672, 2992, 4598, 17110, 276, 3899, 282, 254, 642, 2672, 14, 254, 4532, 286, 254, 7540, 32105, 665, 5819, 327, 933, 452, 643, 10281, 2474, 282, 314, 21, 11, 573, 596, 12805, 387, 327, 671, 16, 188, 10, 23, 11, 330, 15582, 3442, 2468, 321, 10868, 348, 248, 3442, 274, 272, 6272, 1509, 39620, 276, 665, 2764, 6272, 1509, 9794, 4850, 254, 1068, 14, 5569, 254, 4532, 5041, 4859, 16, 188, 10, 19, 11, 1822, 29148, 274, 15582, 2672, 403, 2186, 282, 16418, 407, 254, 20605, 457, 85, 6852, 16, 188, 10, 20, 11, 5650, 3027, 774, 6370, 248, 3442, 274, 254, 15582, 16, 380, 2543, 3442, 14, 663, 2992, 321, 254, 3792, 274, 254, 15582, 14, 774, 321, 10868, 25398, 407, 254, 4532, 14, 1063, 248, 20030, 4092, 407, 254, 7540, 32105, 16, 188, 10, 21, 11, 380, 20605, 457, 85, 6852, 774, 7415, 417, 282, 6409, 272, 10868, 15582, 3442, 328, 254, 9643, 867, 561, 276, 13724, 848, 314, 19, 581, 276, 533, 1068, 254, 3027, 17, 1945, 447, 774, 6370, 1495, 15582, 3442, 1063, 248, 20030, 4092, 407, 254, 7540, 32105, 16, 188, 10, 22, 11, 7693, 626, 403, 2623, 4532, 343, 9366, 2013, 6112, 14, 596, 2992, 765, 25398, 276, 6370, 273, 248, 15582, 3442, 16, 188, 10, 23, 11, 380, 3792, 274, 254, 15582, 774, 452, 254, 1057, 45279, 286, 321, 2256, 281, 4070, 276, 254, 1057, 2504, 348, 580, 274, 254, 4532, 14, 5569, 248, 3027, 2662, 327, 254, 3792, 321, 274, 248, 1015, 45279, 286, 321, 2256, 281, 4070, 276, 248, 2504, 642, 683, 1093, 274, 254, 4532, 16, 188, 10, 24, 11, 1286, 254, 4532, 452, 5656, 327, 254, 15582, 3442, 17, 24200, 403, 282, 321, 10868, 407, 399, 5082, 14, 390, 603, 248, 3027, 555, 417, 10868, 248, 3442, 14, 390, 603, 254, 4532, 452, 417, 25398, 10868, 248, 3442, 14, 390, 603, 248, 3442, 555, 417, 643, 10868, 276, 8726, 343, 314, 22, 11, 390, 314, 23, 581, 254, 20605, 457, 85, 6852, 2992, 6370, 254, 749, 3442, 10, 85, 481, 188, 10, 19, 11, 330, 3027, 774, 5527, 248, 15582, 3442, 756, 603, 353, 8775, 327, 5819, 2159, 14, 533, 1862, 5884, 282, 811, 17871, 23834, 348, 282, 254, 37429, 414, 390, 13886, 274, 254, 15582, 3442, 14, 390, 603, 254, 3027, 8775, 327, 254, 3442, 1042, 417, 6894, 254, 31507, 5656, 328, 407, 254, 4532, 16, 330, 5527, 2992, 321, 9017, 282, 254, 7540, 32105, 4598, 841, 254, 3027, 1851, 2411, 6425, 274, 254, 13897, 286, 254, 5819, 328, 533, 254, 5527, 311, 1707, 16, 188, 10, 20, 11, 15556, 254, 14459, 15582, 3442, 17417, 85, 390, 254, 4532, 5041, 327, 254, 15582, 3442, 2992, 417, 321, 5618, 390, 327, 520, 17, 379, 16418, 2992, 321, 42126, 14, 254, 20605, 457, 85, 6852, 2992, 7415, 328, 254, 5527, 16, 188, 10, 19, 11, 1286, 248, 15582, 3442, 17417, 85, 14, 9517, 390, 324, 642, 4462, 311, 7722, 14, 1495, 3442, 2992, 321, 10868, 276, 8726, 343, 254, 1057, 4653, 348, 1093, 327, 3608, 282, 254, 13897, 274, 254, 3442, 1851, 24223, 14, 3838, 16, 188, 10, 20, 11, 1286, 248, 15582, 3442, 1042, 417, 765, 14388, 286, 14158, 14, 390, 603, 254, 3442, 457, 85, 642, 12451, 2474, 282, 254, 15779, 403, 417, 24325, 14, 248, 3027, 774, 2662, 254, 20605, 457, 85, 6852, 282, 7415, 1826, 254, 3442, 2992, 321, 7722, 16, 4801, 276, 254, 5759, 274, 819, 248, 2662, 14, 254, 20605, 457, 85, 6852, 774, 7957, 248, 3442, 328, 254, 9643, 5234, 276, 254, 338, 297, 6026, 274, 436, 12151, 16, 188, 10, 19, 11, 2028, 254, 4682, 18292, 5234, 276, 13724, 607, 311, 4936, 286, 254, 15582, 2672, 403, 5618, 14, 254, 7540, 32105, 2992, 12826, 254, 1068, 4227, 282, 254, 15582, 2672, 16, 7553, 27315, 14, 512, 17166, 2992, 321, 25059, 3468, 869, 254, 15582, 286, 254, 4532, 343, 9858, 282, 254, 7540, 32105, 14, 533, 3517, 254, 16468, 276, 254, 1068, 593, 327, 14, 603, 3202, 14, 353, 774, 9806, 254, 15582, 286, 254, 4532, 276, 17246, 327, 254, 1068, 41164, 7856, 286, 14158, 16, 188, 10, 19, 11, 380, 15582, 2992, 321, 4204, 286, 37429, 286, 2992, 5256, 327, 254, 4532, 403, 3994, 343, 13540, 286, 327, 1004, 3027, 311, 1635, 5118, 4954, 282, 1225, 695, 1068, 16, 188, 10, 20, 11, 380, 1068, 2992, 321, 17376, 407, 254, 15779, 286, 14, 830, 254, 15779, 403, 11249, 14, 407, 665, 642, 4653, 5656, 869, 254, 4532, 390, 14 ]
[ 1, 2868, 607, 1230, 18, 14, 286, 327, 1385, 748, 573, 643, 1815, 282, 321, 248, 35048, 2214, 14, 254, 1250, 18945, 17694, 7993, 2214, 276, 254, 1499, 16, 28821, 273, 369, 11620, 2984, 274, 254, 11899, 324, 254, 374, 18, 18, 24, 1230, 18, 25, 1260, 1028, 2868, 841, 14351, 607, 25, 24, 6438, 387, 272, 3278, 274, 848, 20, 16, 20, 27, 1648, 374, 13638, 286, 374, 2630, 13638, 16, 188, 35746, 835, 2956, 254, 473, 11060, 2868, 963, 14, 27664, 276, 801, 1619, 324, 254, 2379, 16, 1678, 14, 596, 29679, 286, 3542, 374, 1230, 18, 282, 5687, 276, 254, 33207, 16, 28821, 273, 369, 835, 26087, 324, 254, 771, 1194, 437, 1230, 28828, 14494, 41210, 6214, 274, 254, 3525, 8926, 14, 286, 276, 520, 5759, 14, 254, 43560, 497, 3065, 45788, 495, 1230, 18, 14, 4144, 282, 13610, 327, 520, 2214, 573, 1468, 25624, 811, 6214, 274, 254, 944, 1726, 473, 11060, 14405, 276, 1499, 24333, 16, 188, 35746, 1628, 324, 657, 25568, 14, 6789, 434, 18231, 324, 695, 763, 5723, 15, 484, 9862, 1385, 37116, 286, 5687, 328, 374, 26, 4929, 1269, 35226, 8426, 974, 274, 22733, 4577, 16, 496, 254, 801, 5723, 484, 2099, 1385, 37116, 14, 28821, 273, 11374, 811, 374, 276, 6789, 434, 338, 18, 24, 1382, 9903, 16, 496, 6789, 434, 1250, 286, 1364, 5723, 597, 2099, 14, 436, 671, 1385, 5687, 14, 28821, 273, 959, 4104, 282, 1041, 272, 3373, 14, 14351, 811, 813, 1063, 345, 369, 5856, 1055, 407, 742, 15, 1021, 5181, 26354, 17839, 609, 79, 711, 16, 188, 35746, 2956, 695, 3525, 8926, 4403, 343, 1241, 1361, 9862, 4405, 387, 23549, 4762, 14, 657, 33452, 85, 16, 28821, 273, 2900, 3297, 8158, 343, 272, 27826, 274, 338, 19, 21, 432, 890, 21, 38972, 327, 2818, 2537, 2712, 266, 14, 348, 6789, 497, 11056, 276, 374, 18, 21, 15, 6149, 9903, 1385, 13563, 16, 9673, 14351, 811, 374, 21, 276, 254, 1689, 3637, 1385, 254, 15881, 14, 6789, 1311, 715, 37962, 495, 23, 26, 286, 19714, 282, 3223, 407, 374, 20, 27, 6438, 16, 496, 615, 1689, 3637, 1385, 3561, 7334, 14, 6789, 715, 37962, 495, 25, 25, 17, 24, 1111, 13710, 4442, 4717, 276, 3525, 331, 8549, 16, 28821, 273, 669, 11374, 890, 19, 432, 890, 19, 14830, 14, 286, 3285, 254, 19530, 4612, 282, 4717, 338, 18, 14, 18, 18, 18, 473, 11060, 6438, 16, 9673, 3561, 7334, 1129, 338, 24, 18, 1269, 2863, 276, 254, 374, 19, 297, 687, 14, 596, 1497, 16171, 14, 10036, 890, 260, 25323, 324, 811, 813, 22, 6438, 16, 188, 35746, 34427, 11835, 324, 254, 5883, 444, 4240, 343, 615, 801, 3637, 4405, 387, 254, 743, 9174, 305, 5573, 1676, 29674, 28765, 276, 9174, 305, 5573, 16, 28821, 273, 4618, 327, 345, 369, 417, 1062, 17339, 343, 254, 561, 3313, 44816, 353, 347, 6805, 39105, 39636, 3333, 380, 9679, 13225, 369, 1382, 561, 670, 328, 495, 23, 14, 343, 520, 2214, 715, 36605, 495, 20, 20, 7004, 6524, 282, 338, 23, 26, 432, 12316, 3246, 16, 496, 248, 3637, 5042, 561, 687, 763, 1842, 14, 6789, 34427, 16020, 254, 1683, 1874, 407, 338, 18, 21, 6438, 16, 496, 615, 1689, 3637, 14, 6789, 1663, 597, 1385, 1656, 315, 28276, 276, 1495, 9067, 20391, 18291, 16, 826, 671, 254, 3637, 369, 35068, 282, 374, 20, 687, 85, 248, 1874, 16, 496, 254, 980, 6789, 1856, 407, 338, 18, 260, 25323, 343, 28821, 273, 417, 2876, 248, 4688, 282, 10193, 16, 496, 615, 1689, 3637, 1385, 5687, 14, 959, 276, 9174, 305, 5573, 14, 28821, 273, 11374, 248, 2630, 15, 9627, 14, 25866, 6789, 282, 248, 4941, 15, 15546, 293, 9903, 16, 2646, 417, 2876, 248, 10193, 276, 6789, 434, 5394, 274, 10726, 276, 32544, 8361, 14, 28821, 273, 332, 34495, 6789, 282, 9903, 276, 615, 1689, 3637, 1385, 23437, 30498, 276, 33177, 2866, 14, 343, 719, 24, 417, 561, 16, 33177, 2866, 369, 959, 254, 18231, 324, 6789, 434, 2379, 2155, 4175, 85, 3637, 14, 436, 671, 1385, 1427, 11795, 16, 9769, 15552, 254, 6438, 14, 28821, 273, 4061, 248, 2847, 291, 719, 24, 327, 2818, 4941, 13303, 14, 343, 520, 2214, 30558, 597, 615, 5793, 9903, 274, 254, 14405, 16, 2640, 520, 1770, 1012, 5715, 9535, 3149, 324, 254, 14405, 14, 596, 959, 2144, 597, 1385, 3561, 7334, 276, 254, 9753, 15, 12661, 16, 3561, 7334, 14, 663, 497, 295, 8627, 387, 374, 25, 17, 23, 14, 7207, 597, 4610, 6789, 338, 23, 18, 282, 3223, 16, 3996, 28821, 273, 374, 20, 14, 6789, 4214, 38219, 3561, 7334, 407, 813, 260, 25323, 16, 188, 510, 374, 18, 18, 25, 1230, 18, 26, 2956, 248, 743, 8458, 324, 6789, 14, 348, 2948, 3474, 506, 286, 3539, 569, 573, 1081, 13981, 387, 254, 980, 274, 254, 1985, 1260, 1028, 2868, 16, 380, 4523, 573, 2584, 624, 683, 338, 20, 23, 18, 5834, 260, 25323, 869, 729, 14, 286, 254, 756, 1241, 5834, 47232, 327, 6789, 573, 9353, 758, 28821, 273, 14, 2304, 1385, 5267, 276, 30951, 276, 374, 18, 18, 22, 286, 254, 763, 1385, 5687, 276, 374, 18, 18, 23, 14, 573, 512, 5699, 670, 580, 274, 254, 763, 497, 10776, 16, 3826, 327, 1081, 573, 4634, 14, 16661, 13500, 1826, 6789, 286, 28821, 273, 807, 6384, 615, 2251, 343, 615, 763, 1964, 9709, 8684, 11797, 16, 6789, 573, 417, 4405, 248, 5834, 1544, 254, 1260, 1028, 14, 1205, 1129, 3103, 276, 495, 20, 25623, 2433, 286, 4175, 18828, 20, 18, 3625, 319, 924, 16, 380, 2114, 2956, 963, 324, 6789, 29, 9619, 254, 801, 5834, 1385, 23437, 30498, 276, 39184, 407, 272, 27826, 286, 576, 18, 6438, 16, 28821, 273, 10620, 607, 24, 432, 848, 22, 14830, 314, 22838, 1694, 85, 11, 276, 6789, 434, 2194, 274, 607, 23, 19, 16, 380, 6175, 5834, 276, 23957, 435, 14, 2950, 28821, 273, 4717, 495, 19, 314, 24, 24, 14830, 11, 286, 607, 21, 417, 561, 314, 20, 1694, 85, 286, 248, 2712, 11, 276, 2824, 274, 520, 1683, 9287, 14, 348, 6789, 14887, 597, 254, 2868, 374, 1230, 18, 16, 28821, 273, 11374, 338, 22, 18, 6438, 387, 813, 18, 286, 2263, 1241, 30853, 16 ]
[ 1, 1668, 44725, 14, 7273, 19209, 85, 390, 11081, 16, 188, 32740, 1921, 28, 607, 26, 2122, 1246, 576, 18, 2122, 16, 188, 510, 2371, 5258, 40095, 311, 248, 1733, 47292, 7824, 27026, 16, 2371, 5258, 399, 9719, 403, 2013, 282, 21317, 2130, 276, 1921, 36007, 254, 5186, 21317, 472, 14, 3614, 254, 2371, 5258, 40095, 434, 28837, 486, 311, 27202, 16, 188, 686, 8404, 14, 254, 2371, 5258, 40095, 434, 3065, 758, 89, 721, 476, 321, 2254, 276, 4359, 282, 254, 3524, 8293, 2069, 16, 380, 8542, 286, 4179, 403, 254, 1057, 348, 324, 254, 21317, 472, 6362, 413, 16, 188, 7671, 5258, 399, 9719, 732, 3272, 265, 11401, 286, 17652, 343, 21317, 2130, 14, 282, 533, 596, 403, 8026, 2815, 16, 0, 3294, 436, 1110, 276, 618, 1464, 14, 254, 46709, 286, 254, 40269, 527, 452, 2411, 3555, 20797, 274, 11953, 16, 11261, 407, 1612, 310, 2941, 624, 668, 4128, 286, 254, 1499, 1444, 479, 939, 254, 1330, 5077, 286, 31355, 310, 2156, 7537, 282, 2014, 3983, 282, 16, 188, 57, 3186, 618, 1116, 282, 3408, 248, 8550, 432, 14743, 328, 618, 2377, 555, 9988, 479, 668, 618, 2860, 343, 24852, 16, 188, 30347, 324, 3709, 432, 248, 5812, 1051, 82, 454, 274, 9067, 555, 9988, 479, 668, 843, 310, 7858, 282, 12100, 3284, 16, 188, 57, 531, 273, 248, 5757, 274, 16577, 742, 618, 2377, 16222, 24961, 23225, 555, 9988, 479, 668, 618, 3621, 282, 1741, 343, 12078, 16, 188, 1031, 18106, 254, 1364, 2298, 274, 1773, 561, 274, 5340, 1063, 18534, 353, 555, 9988, 479, 668, 618, 14542, 282, 3570, 6349, 2110, 1789, 32581, 75, 16, 71, 16, 30103, 11, 10469, 254, 980, 16, 188, 8209, 16440, 440, 17592, 14, 20149, 618, 9704, 282, 836, 1330, 3284, 286, 6817, 4128, 843, 596, 1503, 1115, 561, 276, 642, 3551, 276, 618, 1464, 6923, 643, 15645, 9604, 16, 310, 4316, 254, 801, 671, 310, 8123, 254, 2875, 2486, 15154, 765, 274, 18202, 248, 8550, 44268, 286, 14743, 328, 618, 2377, 4415, 310, 369, 24961, 7618, 23225, 2049, 248, 27897, 3425, 2734, 618, 1683, 16, 731, 369, 248, 3396, 286, 32368, 1362, 16, 2666, 2718, 13748, 17252, 4112, 16, 2666, 16577, 91, 3461, 17252, 19250, 16, 31141, 310, 852, 748, 310, 573, 1845, 2152, 28, 4996, 618, 1116, 747, 248, 7779, 276, 2824, 274, 618, 2377, 282, 3889, 4128, 16, 1268, 835, 310, 4285, 282, 513, 1594, 310, 573, 1582, 2152, 28, 1315, 729, 321, 16, 188, 57, 16011, 618, 9704, 282, 248, 1603, 19250, 8727, 3081, 254, 4658, 593, 18450, 14887, 1444, 618, 19004, 369, 20369, 16, 2666, 6173, 3285, 2094, 286, 5079, 16, 2666, 12261, 286, 8846, 40274, 16, 310, 3428, 747, 310, 2980, 282, 6738, 561, 618, 4658, 286, 12112, 18665, 2909, 401, 9019, 21227, 16959, 401, 9314, 3, 1268, 324, 254, 944, 628, 310, 1848, 457, 86, 12186, 310, 6919, 328, 254, 40231, 328, 618, 2069, 286, 254, 18846, 274, 618, 6173, 16, 1223, 603, 310, 3428, 618, 1116, 10638, 324, 618, 2377, 310, 650, 1076, 282, 836, 43008, 16, 188, 1253, 436, 2705, 9988, 479, 369, 417, 327, 310, 933, 1845, 321, 4344, 343, 248, 11859, 274, 19250, 8857, 15, 927, 20593, 687, 618, 2377, 747, 248, 1361, 274, 30031, 15594, 1152, 561, 274, 1683, 324, 254, 801, 671, 16, 731, 369, 34941, 254, 7697, 286, 3405, 40231, 327, 28860, 248, 4733, 282, 24852, 390, 21344, 14, 533, 403, 10179, 310, 457, 79, 2056, 360, 512, 452, 3428, 16, 2028, 7290, 248, 24625, 1354, 5982, 324, 633, 785, 276, 2824, 274, 633, 2214, 390, 7605, 368, 1242, 282, 1872, 436, 33082, 5311, 276, 633, 11171, 14, 633, 8846, 6681, 560, 14, 633, 6173, 2094, 560, 286, 512, 368, 961, 282, 513, 311, 6738, 561, 274, 633, 4658, 286, 41269, 769, 53, 1866, 3789, 49, 1791, 16959, 401, 26646, 25807, 1675, 11288, 1223, 14, 282, 321, 8055, 14, 368, 457, 70, 452, 1033, 977, 282, 1041, 327, 4188, 16, 1268, 368, 669, 452, 1495, 4188, 16, 1395, 476, 20668, 14, 11352, 248, 6173, 14, 43544, 633, 4662, 390, 5854, 3026, 286, 835, 1270, 2555, 314, 53, 16, 54, 16, 49, 16, 50, 481, 188, 1516, 311, 2075, 310, 1052, 353, 254, 416, 32455, 11709, 974, 811, 747, 843, 254, 1887, 14, 1034, 30899, 862, 387, 254, 4873, 274, 248, 23941, 476, 321, 25228, 888, 282, 248, 1330, 14, 9791, 8577, 14, 310, 7573, 2780, 327, 772, 9704, 282, 1887, 3284, 276, 772, 4701, 32581, 71, 16, 73, 16, 9888, 597, 343, 248, 7626, 14, 10036, 248, 2545, 14, 1129, 8290, 407, 248, 7434, 580, 3838, 11, 476, 321, 25228, 888, 282, 772, 9704, 282, 254, 1330, 14, 9791, 3284, 360, 2705, 14938, 14, 532, 403, 2156, 24404, 274, 16, 2807, 7353, 6425, 274, 618, 9704, 282, 836, 9791, 3284, 14, 6817, 4128, 748, 836, 9704, 1503, 1563, 324, 642, 3551, 276, 618, 1464, 286, 1938, 328, 13511, 282, 3669, 12997, 282, 729, 14, 310, 1872, 348, 2101, 310, 457, 79, 24961, 324, 670, 254, 1887, 3284, 1663, 2049, 16, 188, 8209, 1015, 1111, 395, 7754, 12161, 1111, 2440, 3177, 274, 23751, 286, 44464, 1827, 15, 258, 43131, 555, 2411, 248, 8575, 324, 479, 1012, 1081, 1525, 4128, 14, 532, 669, 1093, 1444, 479, 29, 26272, 254, 8683, 268, 432, 1789, 282, 11504, 286, 7537, 713, 1789, 282, 26021, 286, 2941, 668, 16, 188, 424, 3711, 2910, 315, 626, 497, 2110, 3551, 274, 618, 2377, 327, 497, 624, 7786, 683, 2489, 32581, 75, 16, 71, 16, 8857, 274, 618, 11172, 14, 18266, 274, 618, 6037, 286, 618, 30992, 2280, 41786, 533, 1143, 353, 624, 2746, 282, 11308, 254, 20788, 282, 417, 1810, 256, 729, 1919, 16, 0, 38, 9792, 555, 6622, 1125, 5384, 15809, 14, 1648, 248, 2868, 274, 10264, 13654, 708, 29770, 6834, 14, 2049, 343, 248, 7456, 792, 274, 29770, 14, 286, 624, 3970, 520, 5427, 17, 21707, 2868, 328, 23026, 343, 1427, 2728, 13320, 4966, 4771, 2267, 16, 20261, 311, 248, 21840, 663, 555, 44148, 387, 254, 1708, 274, 254, 1062, 10727, 4715, 345, 6344, 36343, 286, 4828, 2900, 16, 750, 555, 669, 573, 248, 8105, 4212, 343, 520, 3425, 347, 43, 715, 254, 3327, 14, 3957 ]
[ 1, 533, 311, 254, 9490, 16, 188, 54, 313, 4451, 311, 8171, 282, 2367, 343, 42991, 387, 37132, 8498, 974, 701, 11220, 276, 4782, 942, 254, 4954, 282, 321, 44350, 16, 16228, 5346, 324, 580, 457, 85, 1193, 1738, 14, 5077, 286, 5708, 9898, 311, 254, 977, 274, 1910, 14551, 16, 15771, 4451, 367, 1471, 294, 489, 5986, 555, 2958, 3819, 276, 7208, 286, 10743, 348, 248, 2079, 7151, 276, 388, 527, 256, 4967, 10663, 7964, 22675, 72, 4580, 16, 188, 48, 1220, 17702, 7143, 14, 354, 16, 38, 16, 555, 643, 24961, 23635, 609, 276, 35591, 324, 338, 18, 1090, 343, 248, 2683, 328, 3015, 6083, 1738, 16, 5891, 671, 345, 555, 2254, 254, 7169, 274, 16472, 14, 348, 963, 348, 615, 29012, 3405, 286, 11929, 15823, 16, 2640, 254, 3177, 327, 18711, 85, 403, 900, 324, 1480, 1125, 942, 14, 286, 324, 1480, 23795, 9633, 274, 671, 14, 345, 555, 7221, 37132, 8498, 276, 254, 3409, 274, 1949, 273, 624, 8642, 286, 1408, 15, 33582, 7082, 282, 44014, 16, 188, 1130, 555, 643, 618, 15423, 286, 1157, 19413, 282, 785, 343, 248, 9726, 274, 942, 276, 2624, 2230, 466, 317, 1091, 432, 38536, 286, 28902, 4531, 5495, 282, 2958, 8841, 286, 1321, 7827, 16, 12859, 8854, 15487, 1869, 282, 479, 276, 338, 27, 26, 25, 286, 555, 643, 272, 14997, 4584, 2378, 1544, 16, 496, 618, 2318, 2705, 1125, 1914, 32211, 497, 900, 276, 254, 4531, 28, 4229, 352, 84, 2813, 14, 1416, 286, 3327, 4767, 14, 254, 5527, 2211, 286, 1676, 8451, 282, 1390, 248, 1603, 16, 657, 696, 497, 1181, 3248, 276, 1093, 1842, 16, 380, 1040, 274, 254, 45887, 369, 9441, 348, 1726, 348, 18078, 4229, 31608, 16472, 16, 11909, 4654, 1845, 2956, 254, 1362, 16, 5891, 254, 1090, 343, 254, 10428, 14702, 37734, 4531, 19354, 14, 353, 3032, 944, 276, 15, 31462, 1914, 555, 643, 7722, 407, 254, 11358, 274, 18866, 16472, 16, 826, 311, 1972, 3657, 276, 254, 1068, 274, 10089, 889, 8750, 16, 47139, 3032, 282, 321, 254, 11358, 1914, 4590, 2499, 683, 7160, 16, 4772, 274, 436, 5176, 310, 641, 3248, 5565, 282, 785, 276, 248, 4531, 4610, 16, 188, 24073, 310, 452, 643, 3103, 343, 254, 2443, 274, 12469, 1104, 4373, 4076, 407, 8838, 282, 867, 597, 248, 331, 7727, 10504, 8028, 276, 254, 1922, 3242, 1561, 3816, 533, 555, 2254, 22539, 5511, 3778, 274, 1104, 4373, 6676, 10499, 16, 7823, 9138, 2811, 327, 310, 41928, 276, 369, 15111, 328, 27128, 6874, 276, 38007, 14, 17507, 16, 740, 473, 20643, 41393, 7151, 286, 616, 473, 20643, 41393, 14914, 5325, 248, 1683, 327, 369, 16753, 324, 848, 12469, 8583, 282, 3051, 276, 324, 615, 10168, 14, 4065, 286, 1863, 615, 6676, 369, 248, 802, 1668, 16, 380, 1305, 286, 4584, 596, 2865, 3419, 836, 2185, 254, 4688, 286, 254, 3621, 282, 1242, 615, 1491, 7160, 286, 3419, 729, 254, 5493, 282, 2411, 14037, 343, 248, 9779, 11823, 16, 188, 3294, 436, 3798, 274, 618, 1464, 310, 715, 11213, 282, 8272, 618, 2705, 343, 21164, 286, 5495, 327, 452, 254, 21037, 1294, 274, 2367, 2502, 1972, 7160, 16, 188, 45796, 337, 457, 85, 1464, 785, 555, 643, 8838, 3054, 254, 3184, 274, 942, 457, 85, 4701, 16, 1469, 555, 2152, 436, 939, 785, 276, 254, 28451, 286, 324, 11216, 18903, 29, 432, 2367, 343, 942, 663, 452, 2623, 15496, 282, 8189, 2706, 8856, 282, 2411, 28158, 1827, 15, 29925, 14, 282, 36266, 286, 6324, 248, 2025, 4513, 327, 369, 248, 11897, 14311, 274, 3015, 4458, 324, 942, 276, 11089, 26798, 16, 1469, 28520, 3089, 6319, 432, 21412, 282, 11905, 16, 1469, 555, 4168, 343, 942, 663, 452, 7212, 1015, 3395, 274, 14563, 286, 663, 10888, 343, 21429, 390, 6083, 9490, 16, 1469, 311, 9899, 276, 6398, 9062, 496, 10298, 9515, 6267, 4480, 286, 254, 2456, 274, 1948, 2930, 8126, 3519, 10067, 7346, 314, 9314, 85, 481, 1469, 555, 8158, 6344, 942, 1041, 4631, 939, 6507, 248, 22643, 1305, 975, 286, 33449, 729, 1074, 13893, 12866, 276, 254, 3015, 16, 35228, 6382, 248, 39269, 274, 3847, 286, 10243, 11050, 4110, 432, 26798, 6640, 286, 248, 10436, 457, 85, 45119, 19360, 1823, 276, 8530, 15177, 11050, 432, 44974, 31308, 6640, 36339, 4580, 16, 35228, 311, 272, 45076, 289, 23937, 286, 28520, 1129, 3812, 276, 3629, 16, 1469, 669, 28520, 12061, 14, 4221, 14, 4731, 254, 1453, 413, 286, 8864, 671, 343, 1157, 3732, 16, 188, 25942, 378, 3098, 6323, 276, 2314, 343, 5099, 24127, 670, 345, 801, 867, 520, 2836, 328, 436, 1213, 1125, 1090, 3502, 16, 731, 311, 20999, 286, 2217, 776, 14, 19306, 1594, 3555, 3198, 775, 2778, 285, 345, 2225, 14, 353, 311, 248, 10727, 286, 345, 14131, 18256, 3, 8873, 5099, 24127, 311, 669, 17395, 286, 11990, 580, 282, 321, 6919, 286, 1712, 386, 1205, 2367, 343, 12571, 14, 15748, 268, 5457, 14, 3189, 286, 254, 1213, 274, 11887, 286, 12020, 16, 9360, 580, 457, 85, 2836, 2714, 9960, 457, 311, 13286, 713, 2714, 74, 2088, 457, 276, 248, 2563, 274, 7061, 16, 22495, 24127, 20712, 272, 9331, 1408, 1919, 432, 615, 3405, 286, 8756, 2977, 286, 348, 8452, 2957, 28, 769, 1130, 311, 248, 2675, 2115, 282, 2314, 286, 282, 2411, 21808, 668, 11288, 1664, 311, 272, 356, 19862, 3179, 282, 436, 10786, 533, 345, 10482, 343, 248, 6920, 22312, 16, 8452, 14131, 254, 4333, 274, 37132, 8498, 286, 6039, 3113, 254, 4954, 282, 2169, 283, 254, 2314, 324, 286, 10727, 274, 5099, 24127, 276, 254, 42991, 663, 403, 42683, 615, 4701, 286, 29301, 20972, 6750, 16, 188, 40, 9850, 286, 11413, 274, 6683, 8493, 995, 3567, 16, 188, 7507, 16, 5945, 12797, 1048, 311, 669, 254, 20605, 274, 4852, 4239, 500, 16, 5945, 12797, 1048, 29459, 14, 3567, 896, 248, 17047, 6577, 14, 286, 311, 254, 14794, 286, 8398, 2664, 5739, 274, 473, 7178, 5461, 14699, 5044, 14, 4095, 276, 338, 27, 27, 20, 16, 473, 7178, 311, 248, 417, 15, 1507, 15, 15177, 14235, 5833, 343, 36221, 5495, 324, 5060, 5150, 10563, 14, 11284, 14, 5436, 2317, 14, 19636, 14, 286, 38055, 14, 348, 963, 348, 802, 15, 4506, 14235, 4584, 2024, 14, 272, 5497, 10066, 5035, 14, 286, 380, 27682 ]
[ 1, 27102, 36444, 260, 17136, 403, 1733, 14, 532, 10054, 596, 774, 2759, 368, 282, 3177, 9394, 16649, 286, 3290, 368, 272, 15931, 3083, 16, 496, 1068, 254, 36444, 260, 17136, 452, 4800, 4561, 14, 368, 476, 16129, 248, 16010, 282, 16010, 348, 248, 898, 274, 254, 4561, 16, 1268, 670, 353, 1623, 311, 248, 47728, 41882, 14, 835, 368, 476, 5440, 811, 889, 633, 9620, 282, 1989, 254, 4561, 16, 50, 964, 1024, 1582, 260, 800, 254, 4561, 7004, 974, 353, 774, 321, 561, 274, 5127, 16, 11166, 254, 41882, 4417, 282, 321, 43861, 14, 368, 452, 282, 5440, 417, 1989, 353, 16, 33461, 254, 41882, 282, 2257, 5909, 328, 248, 34668, 5224, 811, 747, 248, 439, 1277, 3182, 11673, 390, 6648, 248, 476, 274, 4561, 46936, 21158, 407, 1851, 248, 9791, 28803, 16, 1180, 254, 1865, 327, 1910, 4561, 260, 17136, 403, 19402, 14, 593, 327, 368, 1339, 452, 282, 2874, 343, 729, 248, 1157, 2874, 624, 23186, 1538, 16, 10068, 2056, 327, 327, 368, 5053, 282, 889, 254, 1157, 439, 1277, 81, 375, 286, 1580, 398, 324, 254, 36444, 260, 17136, 16, 7709, 368, 24096, 671, 324, 368, 282, 9165, 688, 14822, 4584, 274, 41882, 1914, 5495, 16, 496, 1068, 368, 1582, 889, 4426, 3462, 324, 254, 260, 17136, 14, 596, 774, 6280, 597, 328, 254, 997, 483, 3136, 21849, 286, 276, 1125, 2153, 5291, 615, 3189, 319, 16, 35, 624, 2378, 30270, 2169, 274, 4561, 19784, 311, 10466, 248, 4561, 10988, 16, 1547, 1441, 624, 286, 624, 7406, 14, 21026, 282, 248, 3736, 1162, 274, 1017, 6051, 8219, 27200, 4264, 2211, 274, 2181, 16, 2028, 254, 5702, 311, 11102, 407, 248, 3989, 9899, 14, 9595, 20370, 14, 254, 2379, 1508, 476, 321, 1464, 15, 27304, 16, 330, 4561, 10988, 311, 3256, 417, 324, 3997, 328, 254, 642, 1116, 16, 731, 434, 1845, 5534, 5702, 1914, 11102, 1637, 683, 9884, 34781, 10882, 286, 669, 1129, 5384, 274, 254, 1213, 15334, 2154, 282, 254, 14670, 274, 14369, 314, 19550, 11, 4561, 4892, 254, 21448, 2876, 276, 12180, 1738, 16, 2148, 368, 282, 7415, 282, 7274, 254, 3834, 2115, 4684, 14, 254, 1964, 6280, 368, 587, 452, 282, 1041, 807, 321, 282, 2536, 1444, 763, 14544, 274, 260, 17136, 28, 254, 12983, 9104, 348, 963, 348, 1910, 4561, 9104, 16, 8493, 594, 274, 836, 1663, 276, 2006, 11490, 286, 9569, 286, 669, 452, 615, 5680, 286, 23041, 16, 740, 12983, 41882, 311, 5118, 14, 1002, 593, 353, 3672, 248, 14542, 282, 17326, 14799, 286, 353, 476, 321, 624, 27829, 282, 1354, 1521, 274, 16, 4801, 1205, 248, 1910, 4561, 41882, 311, 624, 23810, 39821, 25210, 862, 36250, 286, 33470, 1034, 14, 353, 1623, 311, 4236, 91, 16, 0, 1516, 369, 618, 801, 9205, 3238, 378, 6184, 275, 286, 310, 369, 1062, 8814, 16, 2666, 6023, 369, 432, 2702, 2011, 500, 4206, 14228, 387, 719, 28, 21, 18, 5207, 16, 1664, 369, 248, 9205, 274, 4414, 607, 20, 2942, 348, 254, 6023, 369, 3447, 407, 576, 2942, 16, 2666, 18259, 369, 626, 282, 4615, 479, 387, 254, 13941, 45293, 17696, 4516, 16, 188, 510, 801, 2115, 310, 8123, 841, 10638, 13941, 45293, 369, 254, 7742, 16, 380, 7742, 274, 13941, 45293, 2758, 369, 14724, 276, 254, 1722, 274, 2470, 343, 688, 32391, 14, 533, 369, 1623, 8691, 324, 665, 3605, 5237, 942, 16, 188, 3116, 18259, 2144, 387, 254, 17696, 4516, 343, 520, 8086, 24743, 75, 310, 15, 20, 18, 16, 826, 369, 618, 801, 2705, 327, 2996, 2144, 282, 4615, 479, 343, 520, 1096, 276, 248, 4516, 16, 310, 369, 1623, 17741, 1033, 7061, 274, 618, 1464, 276, 13941, 45293, 2758, 16, 2646, 248, 9205, 274, 495, 23, 2819, 432, 254, 17696, 4516, 14, 360, 4774, 254, 9962, 16, 496, 254, 2342, 14, 618, 248, 329, 554, 286, 374, 15, 34988, 497, 1225, 14, 30160, 479, 16, 1260, 353, 369, 3136, 3447, 387, 1444, 338, 19, 28, 18, 18, 5207, 14, 360, 852, 417, 7924, 772, 671, 286, 2350, 282, 3598, 841, 17741, 618, 7383, 8725, 428, 10859, 286, 11471, 16, 188, 4412, 31031, 324, 374, 1842, 387, 618, 18259, 434, 1619, 14, 353, 369, 254, 671, 282, 452, 248, 4741, 274, 254, 13941, 45293, 3124, 16, 2666, 18259, 2117, 479, 512, 254, 4139, 274, 254, 4902, 327, 403, 6397, 11268, 407, 3997, 663, 3144, 282, 13941, 45293, 324, 254, 801, 671, 16, 750, 669, 1862, 2501, 286, 2117, 479, 254, 1643, 14634, 274, 512, 327, 4902, 16, 188, 510, 801, 1619, 310, 9448, 282, 4010, 369, 254, 16057, 274, 6032, 40280, 2011, 14, 533, 311, 1225, 276, 512, 254, 4105, 274, 5267, 348, 963, 348, 3238, 5267, 16, 380, 1390, 274, 327, 16057, 311, 1638, 77, 584, 14, 533, 311, 248, 1062, 4489, 1619, 276, 13941, 45293, 16, 380, 4010, 369, 1623, 4269, 286, 310, 1623, 11042, 248, 2187, 626, 16, 188, 4412, 327, 310, 2350, 282, 8307, 24333, 21056, 276, 13941, 45293, 14, 533, 311, 5478, 1029, 1298, 13379, 2229, 43, 21056, 16, 731, 369, 669, 248, 5167, 1619, 282, 4010, 16, 188, 3992, 695, 671, 4010, 254, 7478, 4902, 274, 13941, 45293, 747, 310, 32534, 13941, 45293, 14, 310, 2805, 13941, 45293, 16, 1664, 311, 248, 1619, 1869, 444, 9401, 26257, 1811, 44058, 276, 13941, 45293, 497, 512, 254, 1708, 944, 354, 9182, 4273, 452, 615, 13760, 16, 1838, 310, 11268, 29923, 2758, 348, 963, 16, 188, 9056, 276, 254, 1360, 369, 248, 4149, 407, 254, 13941, 45293, 38466, 16, 826, 369, 618, 801, 2705, 328, 248, 38466, 6023, 286, 310, 1623, 11042, 248, 2187, 16, 188, 4412, 8864, 1603, 1842, 276, 28215, 45293, 14, 310, 1143, 248, 4010, 282, 46721, 484, 44654, 276, 1223, 74, 376, 33810, 16, 46721, 484, 8431, 11638, 36414, 311, 248, 1062, 8307, 17937, 1619, 274, 5267, 286, 1062, 942, 1652, 254, 4688, 282, 4010, 436, 16057, 286, 310, 369, 580, 274, 729, 16, 310, 2350, 282, 309, 2932, 12116, 1176, 43, 27363, 35550, 43, 16057, 407, 248, 22071, 1643, 286, 353, 369, 248, 9205, 274, 624, 683, 848, 2942, 16, 731, 369, 1623, 248, 247, 4123, 9205, 532, 310, 369, 8814, 974, 310, 807, 4010, 254, 6032, 11638, 36414, 16, 731, 311, 2674, 848 ]
[ 1, 414, 286, 8031, 4541, 14, 403, 900, 324, 254, 5485, 274, 3997, 16, 18821, 9795, 274, 248, 5779, 274, 2155, 15, 358, 1473, 592, 29, 436, 587, 23691, 2353, 254, 11343, 11444, 274, 5473, 1615, 286, 3004, 248, 7656, 2490, 276, 772, 1615, 5192, 16, 188, 30021, 34945, 8571, 286, 254, 5945, 6834, 310, 1141, 436, 311, 756, 38400, 328, 254, 888, 274, 272, 5060, 29107, 2035, 14, 343, 248, 1499, 15, 4223, 9599, 327, 4343, 12832, 282, 321, 9245, 432, 830, 596, 403, 2066, 282, 830, 596, 403, 2961, 16, 188, 30021, 25525, 14967, 23698, 310, 1038, 457, 86, 1141, 436, 4681, 324, 13597, 476, 321, 3436, 4220, 1289, 407, 29487, 5288, 21311, 16, 16059, 1081, 274, 729, 310, 715, 417, 5320, 282, 11686, 248, 2365, 2520, 274, 5534, 8101, 274, 2269, 324, 8088, 14, 6648, 6582, 14, 274, 1090, 974, 274, 248, 3316, 39084, 274, 254, 3629, 274, 2417, 16, 22176, 311, 18893, 286, 44286, 16, 32711, 10993, 348, 963, 348, 4153, 452, 282, 1041, 6902, 668, 843, 282, 7030, 877, 286, 8494, 353, 16, 188, 2432, 403, 3265, 12255, 282, 5899, 1575, 14, 254, 9239, 274, 5899, 8684, 286, 254, 4848, 5553, 286, 22836, 274, 7924, 1129, 763, 4607, 6490, 16, 380, 743, 5808, 274, 8827, 1482, 42502, 286, 254, 2363, 274, 5899, 11463, 1503, 963, 513, 1919, 343, 836, 7155, 687, 254, 1689, 374, 18, 1090, 390, 593, 286, 14, 276, 254, 22141, 14, 310, 3409, 327, 360, 476, 452, 248, 30002, 286, 7976, 8652, 1444, 254, 4466, 2066, 282, 441, 14, 248, 8652, 1707, 328, 1885, 286, 417, 14348, 16, 0, 686, 338, 27, 20, 25, 14, 40763, 399, 966, 1277, 573, 248, 26009, 9301, 1916, 248, 1062, 2628, 1659, 26166, 713, 520, 11485, 17, 521, 2604, 276, 7580, 16, 731, 5325, 4680, 520, 13714, 286, 520, 14911, 432, 254, 2244, 345, 900, 348, 520, 11485, 14, 13782, 1241, 8247, 960, 756, 580, 867, 274, 33575, 266, 286, 580, 3260, 16, 188, 11371, 71, 14, 338, 19, 416, 489, 10104, 5138, 311, 248, 2875, 42254, 758, 38069, 274, 254, 10450, 274, 254, 7680, 348, 248, 4721, 6988, 869, 580, 8014, 286, 254, 1689, 16, 7614, 274, 5742, 248, 3260, 286, 4735, 282, 1495, 2244, 286, 10902, 254, 3260, 3108, 368, 14, 1438, 432, 580, 3954, 282, 1495, 14, 5991, 71, 14, 338, 19, 416, 489, 10104, 5138, 5827, 254, 3260, 282, 452, 248, 24310, 14, 24459, 474, 1142, 16, 1599, 5392, 254, 3260, 328, 580, 2244, 968, 305, 682, 248, 32794, 274, 254, 642, 763, 9692, 14, 974, 353, 25690, 254, 3260, 432, 254, 7680, 869, 729, 16, 188, 686, 5991, 71, 14, 338, 19, 416, 489, 10104, 5138, 14, 254, 13843, 274, 580, 2245, 968, 305, 682, 248, 22481, 2292, 274, 254, 763, 5615, 14, 2743, 15, 28023, 729, 4680, 580, 1495, 14, 41553, 1923, 254, 23631, 274, 615, 1999, 22212, 282, 4565, 248, 9508, 3954, 17, 5477, 16, 826, 311, 248, 4715, 1919, 432, 440, 995, 286, 8518, 995, 713, 10183, 14, 1919, 432, 10256, 713, 5442, 14, 713, 15209, 16, 380, 785, 7807, 327, 353, 457, 85, 7282, 282, 4124, 1269, 254, 39249, 274, 254, 2391, 29, 327, 360, 4319, 343, 441, 1845, 248, 2713, 91, 24718, 274, 815, 15, 3859, 1055, 3954, 17, 30598, 407, 533, 360, 1074, 9113, 2840, 14, 286, 533, 4683, 772, 2687, 282, 2687, 9898, 282, 248, 15154, 5900, 16, 1223, 3614, 772, 7353, 311, 2277, 19262, 14, 353, 457, 85, 436, 2277, 361, 41760, 533, 4343, 441, 282, 915, 14, 533, 15257, 254, 3112, 324, 1949, 2181, 16, 4801, 2101, 1004, 743, 2181, 14, 1004, 743, 3954, 17, 5477, 14, 1339, 321, 5094, 276, 2349, 274, 254, 1668, 14, 2631, 476, 321, 16620, 974, 274, 254, 12442, 17118, 286, 8111, 1295, 274, 512, 3954, 17, 30598, 16, 11922, 14, 436, 2427, 457, 86, 1394, 282, 19555, 29, 254, 11646, 4303, 4409, 248, 2110, 2169, 274, 1316, 16, 188, 686, 5991, 71, 14, 338, 19, 416, 489, 10104, 5138, 14, 495, 657, 10197, 1114, 16830, 21863, 252, 286, 642, 7242, 14, 399, 966, 1277, 33842, 520, 6679, 42379, 4264, 975, 256, 5670, 14, 533, 16728, 1385, 4688, 286, 2417, 314, 349, 592, 311, 16013, 276, 4959, 481, 496, 248, 7726, 1026, 14, 975, 256, 5670, 311, 248, 2169, 274, 30943, 1051, 274, 254, 6340, 4865, 274, 4752, 14, 248, 14126, 274, 5876, 14, 248, 4988, 276, 254, 6215, 274, 4715, 16, 4021, 256, 5670, 758, 43359, 16494, 274, 512, 9104, 14, 286, 407, 6697, 14, 8840, 14, 533, 345, 7593, 282, 758, 7124, 939, 254, 1218, 1088, 792, 14121, 22, 11, 33808, 554, 3038, 311, 248, 2169, 274, 975, 256, 5670, 16, 399, 966, 1277, 3470, 457, 86, 248, 21868, 7250, 382, 390, 248, 34874, 3823, 382, 29, 345, 24388, 8434, 14, 17312, 14, 19978, 14, 2654, 1114, 14, 5876, 14, 1571, 2757, 1273, 16, 750, 3155, 327, 4866, 555, 282, 14265, 877, 561, 274, 254, 8640, 282, 1305, 6646, 4715, 14, 532, 345, 6392, 327, 4866, 311, 756, 2378, 248, 571, 35343, 7173, 274, 33468, 14, 1493, 282, 10301, 387, 254, 5757, 274, 248, 7650, 16, 496, 399, 966, 1277, 457, 85, 671, 254, 4959, 11112, 274, 13050, 3303, 254, 2546, 1289, 251, 282, 321, 338, 17, 19, 18, 24, 274, 254, 4047, 432, 254, 1274, 1065, 282, 254, 5976, 15462, 939, 7580, 14, 6432, 348, 254, 2245, 869, 763, 10597, 276, 30370, 328, 248, 31126, 15, 344, 28414, 2453, 13820, 276, 272, 10542, 6363, 14685, 69, 1106, 758, 254, 2758, 16, 1180, 495, 657, 10197, 1114, 16830, 21863, 252, 399, 966, 1277, 2541, 1241, 1289, 251, 1034, 15652, 274, 2787, 286, 8013, 729, 4680, 248, 18316, 432, 248, 4747, 274, 580, 1289, 251, 14, 835, 4092, 729, 343, 935, 80, 759, 286, 900, 729, 348, 20055, 324, 254, 4987, 274, 248, 867, 274, 863, 25747, 474, 9994, 5493, 29, 1241, 14461, 440, 15, 10697, 429, 9052, 14, 14584, 276, 248, 3692, 533, 573, 3661, 24171, 248, 8944, 20486, 867, 16, 496, 1040, 14, 495, 657, 10197, 1114, 16830, 21863, 252, 9917, 254, 4333, 274, 254, 31126, 15, 344, 28414, 2453, 888, 1051, 713, 254, 8640, 286, 4003, 353 ]
[ 1, 911, 15186, 343, 5054, 310, 5926, 254, 356, 40329, 5799, 16, 0, 510, 7899, 274, 254, 20082, 4580, 274, 4704, 3184, 14699, 706, 28205, 14699, 311, 282, 321, 254, 1964, 13330, 1525, 254, 2104, 274, 17131, 14699, 276, 2349, 274, 21745, 273, 1017, 3184, 4584, 16, 1860, 1901, 248, 13153, 274, 1240, 327, 774, 7834, 254, 3371, 282, 5711, 254, 5060, 9836, 274, 3847, 1565, 343, 248, 3555, 1460, 274, 7716, 9974, 422, 286, 8698, 20554, 14, 42216, 3017, 274, 13251, 17511, 14852, 14, 25047, 286, 254, 29536, 274, 248, 2958, 21776, 298, 274, 1988, 16, 188, 3294, 254, 2687, 9299, 348, 2211, 6480, 387, 10371, 30791, 4580, 286, 45196, 328, 254, 16878, 30859, 274, 3847, 286, 11100, 14, 11811, 11552, 13245, 387, 2948, 19546, 2421, 286, 254, 1427, 40178, 6640, 274, 33790, 286, 11100, 19628, 587, 2692, 321, 13220, 597, 254, 27256, 2024, 387, 27910, 5225, 8387, 4580, 276, 254, 3535, 20707, 4272, 14, 13165, 14, 830, 701, 18378, 616, 11485, 17, 45302, 2342, 16, 188, 510, 41424, 3568, 476, 7620, 1394, 282, 512, 9104, 274, 8533, 8856, 4619, 248, 2413, 274, 1416, 16582, 432, 2367, 348, 272, 9306, 14, 5983, 4311, 38100, 32560, 324, 20228, 286, 7905, 14, 27256, 5537, 1525, 32775, 286, 39284, 14, 41353, 14, 282, 6324, 28515, 16, 188, 1212, 3831, 282, 254, 1321, 6490, 274, 254, 35767, 274, 10786, 276, 9389, 977, 436, 2687, 14, 26390, 254, 1733, 14, 2156, 440, 42367, 1844, 533, 254, 3608, 14235, 452, 2600, 687, 13638, 1091, 286, 3906, 282, 1115, 1091, 276, 1081, 772, 9575, 4701, 286, 1525, 254, 13815, 14, 8590, 10542, 16, 188, 510, 22975, 276, 28205, 14699, 286, 10967, 311, 248, 628, 274, 248, 4698, 274, 28205, 5329, 2237, 14, 1033, 274, 533, 4107, 272, 4954, 324, 6649, 5588, 343, 7478, 14, 27188, 14, 286, 642, 17511, 21196, 282, 889, 327, 4569, 2502, 254, 11905, 274, 272, 30318, 11514, 3568, 327, 1004, 11627, 1895, 615, 7478, 3981, 286, 47669, 353, 348, 628, 274, 272, 732, 34724, 23850, 16, 0, 14068, 918, 5486, 428, 248, 24922, 2485, 428, 311, 7729, 282, 248, 2135, 6752, 19958, 276, 254, 33496, 589, 12794, 16, 188, 1212, 1970, 254, 2835, 274, 843, 30026, 40105, 6398, 918, 5486, 900, 248, 1330, 10812, 9259, 276, 6187, 19743, 348, 628, 274, 248, 439, 4949, 3170, 274, 1656, 3184, 28278, 2937, 324, 4117, 7334, 16, 380, 28278, 369, 593, 2978, 14, 327, 353, 369, 9421, 282, 5416, 276, 2963, 16, 188, 14068, 918, 5486, 311, 7729, 282, 248, 2135, 6752, 19958, 276, 254, 33496, 589, 12794, 16, 496, 374, 18, 18, 24, 624, 327, 338, 18, 18, 470, 18, 18, 942, 6323, 2765, 841, 248, 6044, 14, 8105, 2059, 407, 6398, 918, 5486, 1140, 3854, 12473, 7924, 282, 254, 2504, 16, 839, 31183, 327, 436, 369, 6569, 248, 580, 742, 6932, 14, 4402, 248, 4311, 2169, 274, 7924, 16, 5932, 7924, 311, 11401, 4420, 432, 6398, 918, 5486, 457, 85, 1193, 1733, 4172, 3170, 274, 6508, 1656, 3184, 28278, 16, 188, 3294, 254, 1057, 671, 348, 254, 12473, 7924, 369, 34276, 276, 254, 33496, 589, 12794, 14, 6398, 918, 5486, 5797, 248, 3203, 343, 254, 24922, 2485, 655, 383, 38645, 16, 1547, 900, 248, 10812, 9259, 276, 248, 1330, 7569, 276, 6187, 19743, 348, 628, 274, 254, 3170, 274, 2978, 28278, 16, 826, 4116, 369, 9421, 282, 513, 276, 19743, 14, 532, 254, 24922, 8826, 573, 641, 2843, 748, 2350, 328, 276, 254, 7569, 16, 188, 2300, 2470, 374, 22, 394, 374, 18, 18, 25, 248, 10812, 23519, 597, 387, 254, 2586, 16, 380, 18323, 4420, 272, 12331, 32004, 41244, 332, 14731, 327, 4130, 9490, 2124, 254, 2974, 16, 380, 8826, 852, 417, 2033, 2075, 942, 6323, 2765, 14, 286, 596, 852, 417, 865, 748, 369, 276, 254, 10812, 2634, 282, 254, 18323, 16, 188, 1212, 1143, 254, 4458, 343, 254, 9490, 276, 254, 33496, 589, 12794, 14, 286, 2956, 282, 7214, 16, 839, 26865, 248, 1733, 4172, 3170, 274, 2978, 28278, 14, 7465, 2006, 5130, 4203, 16, 839, 6705, 748, 24922, 8826, 852, 417, 865, 14, 327, 1899, 282, 2194, 5759, 274, 1423, 19743, 3285, 628, 274, 248, 40664, 4351, 16, 0, 19, 22, 4452, 374, 18, 19, 22, 1091, 8241, 325, 892, 20509, 14, 12290, 69, 20332, 4548, 16, 188, 19, 26, 4452, 374, 18, 19, 22, 1091, 8241, 325, 892, 25620, 6401, 323, 3102, 14, 3779, 367, 1345, 16, 188, 56, 20047, 67, 1663, 713, 436, 11146, 3893, 15, 9879, 1851, 643, 1440, 4089, 276, 254, 36632, 30817, 432, 4087, 457, 85, 1868, 15, 8430, 374, 27, 394, 282, 248, 1656, 315, 848, 23, 394, 276, 254, 2245, 274, 248, 10734, 763, 2524, 16, 6236, 436, 2114, 14, 596, 4405, 1919, 276, 4257, 282, 763, 11334, 12053, 327, 12467, 387, 254, 3525, 8926, 14, 10036, 495, 15, 19, 282, 3561, 9476, 286, 9994, 374, 15, 20, 343, 3918, 5760, 330, 7913, 20705, 15, 3066, 31217, 835, 5108, 4297, 457, 85, 2654, 387, 254, 31779, 34470, 1419, 401, 6016, 24370, 312, 372, 15438, 8513, 3891, 3609, 2488, 276, 21261, 14, 841, 248, 2194, 274, 1694, 11146, 9862, 573, 643, 11214, 286, 835, 25351, 324, 11640, 4462, 314, 1946, 24069, 282, 321, 8334, 4682, 276, 3629, 481, 188, 15331, 254, 3367, 274, 3830, 4405, 407, 254, 3746, 1874, 14, 353, 311, 5440, 37681, 282, 5433, 254, 30817, 16, 7865, 14, 688, 21601, 507, 1091, 417, 1824, 1583, 294, 4852, 19171, 13219, 14, 254, 743, 8462, 7826, 276, 4029, 1091, 774, 1002, 17326, 387, 729, 343, 248, 260, 609, 8356, 14, 38540, 327, 254, 9243, 15175, 274, 374, 27, 394, 369, 8266, 40664, 14, 1635, 327, 763, 2524, 2634, 596, 497, 576, 18, 394, 286, 573, 756, 4405, 580, 2099, 276, 254, 2774, 802, 1091, 248, 374, 15, 19, 1919, 2863, 282, 42739, 26422, 16, 188, 17769, 14, 2228, 24524, 796, 836, 30817, 774, 321, 14, 596, 476, 417, 321, 12489, 348, 254, 1615, 21264, 3537, 497, 3970, 900, 282, 3533, 254, 396, 6835, 274, 254, 6936, 11453, 324, 1689, 5603, 457, 85, 331, 19813, 2955, 854, 22867, 6214, 274, 254, 14726, 3687, 16, 26662, 14, 5582, 18534, 576, 394, 276, 374, 18, 19, 19, 457, 85 ]
[ 1, 872, 282, 1920, 353, 742, 16, 1834, 8785, 4544, 1317, 327, 403, 5023, 2969, 1017, 5266, 5378, 375, 14283, 403, 7390, 282, 1076, 16, 1286, 368, 513, 2705, 14695, 276, 2713, 1051, 254, 1360, 14, 4544, 311, 5271, 624, 24525, 26717, 4619, 254, 2069, 16, 188, 6004, 1017, 15, 27695, 5378, 375, 14283, 311, 248, 8960, 5046, 14, 353, 756, 4279, 2006, 3370, 1024, 15, 25371, 1454, 3710, 16, 1993, 1454, 3710, 403, 5271, 254, 1921, 274, 248, 28470, 2739, 11955, 16, 380, 5046, 311, 2152, 276, 772, 46338, 8960, 9259, 758, 24824, 14, 286, 368, 403, 2041, 282, 563, 1683, 254, 1057, 1362, 16, 5431, 1338, 872, 2006, 1842, 324, 7160, 1063, 10601, 282, 785, 16, 2916, 332, 445, 3359, 4566, 933, 321, 15919, 324, 2006, 3498, 4859, 368, 774, 2417, 13088, 273, 254, 12895, 1213, 16, 380, 4869, 274, 1338, 1074, 254, 8495, 7160, 1213, 282, 321, 963, 15, 11141, 615, 9580, 16989, 265, 2085, 2200, 16, 188, 2433, 3392, 41691, 16737, 7492, 9887, 324, 1395, 33, 188, 1368, 403, 248, 1157, 7236, 324, 254, 5046, 603, 368, 457, 251, 5940, 276, 6833, 273, 633, 4122, 4530, 16, 3392, 41691, 28372, 476, 1862, 368, 248, 624, 16989, 265, 7094, 286, 1002, 4565, 248, 719, 15, 6713, 276, 688, 1338, 16, 3006, 756, 403, 254, 12965, 10253, 6845, 274, 1129, 41966, 14, 532, 254, 8846, 314, 250, 1770, 11, 286, 13204, 14, 492, 39551, 14, 299, 1781, 14, 286, 1002, 254, 257, 990, 3042, 13008, 476, 321, 16989, 265, 348, 963, 16, 9473, 286, 2185, 663, 650, 669, 747, 282, 2490, 6441, 1921, 11054, 328, 254, 2069, 774, 669, 5485, 432, 4544, 3577, 7067, 16, 188, 510, 1640, 1026, 282, 3533, 633, 4469, 1917, 324, 16835, 28372, 311, 939, 272, 276, 15, 10533, 20549, 343, 248, 2069, 25027, 273, 19049, 819, 348, 3093, 16, 25982, 13309, 16, 188, 23254, 265, 276, 4569, 624, 668, 3392, 41691, 16737, 7492, 33, 9120, 441, 324, 248, 46370, 7087, 387, 314, 24, 19, 23, 11, 576, 27, 27, 15, 22, 20, 20, 22, 390, 3256, 7325, 561, 254, 825, 328, 436, 3135, 282, 915, 748, 10599, 41133, 14699, 276, 29560, 14, 23959, 476, 513, 324, 368, 3, 188, 2433, 4704, 22954, 21913, 375, 14283, 9887, 1180, 3086, 33, 188, 7882, 310, 248, 6901, 331, 32300, 324, 4704, 22954, 21913, 375, 14283, 33, 0, 1128, 9237, 3485, 28, 495, 314, 483, 274, 338, 18, 481, 188, 13718, 10074, 11811, 10, 85, 2192, 33079, 382, 2009, 8579, 3392, 277, 283, 3990, 16, 188, 1253, 248, 1015, 2705, 1364, 2286, 457, 85, 4221, 369, 16, 6317, 2140, 9415, 1311, 286, 11249, 939, 254, 2288, 1230, 2295, 580, 369, 3447, 14, 641, 580, 270, 13402, 265, 14, 641, 580, 457, 85, 886, 4341, 24940, 16, 1822, 254, 642, 4337, 7360, 343, 248, 1062, 1432, 4633, 22015, 14, 286, 835, 310, 2144, 328, 14, 30155, 747, 248, 2194, 18237, 19148, 16, 314, 13545, 14, 532, 626, 369, 2304, 248, 671, 670, 618, 27672, 10075, 457, 86, 884, 6778, 14, 286, 670, 618, 7481, 10075, 457, 86, 593, 1493, 13351, 27812, 14, 254, 4221, 2350, 963, 14, 286, 360, 9325, 688, 3418, 668, 772, 785, 28, 1334, 513, 360, 3510, 33, 3063, 360, 4126, 3899, 1303, 15, 32012, 33, 1691, 4337, 452, 11876, 368, 33, 826, 1364, 1897, 1845, 332, 10352, 479, 1230, 263, 457, 85, 593, 1837, 282, 2536, 811, 580, 390, 763, 11284, 974, 626, 403, 593, 1125, 327, 310, 26021, 14, 286, 324, 1015, 4462, 16, 310, 10817, 32130, 5573, 330, 1906, 1234, 14, 324, 254, 16534, 14, 500, 16, 47, 16, 2357, 24695, 1747, 14, 324, 254, 11985, 274, 520, 3335, 14, 286, 14919, 1442, 72, 35524, 71, 339, 14, 324, 616, 3621, 282, 3510, 5230, 4243, 286, 2486, 669, 8376, 254, 18846, 274, 21747, 25612, 16, 1268, 310, 807, 811, 348, 4214, 452, 749, 15064, 3060, 771, 47397, 363, 14, 324, 254, 33258, 282, 4932, 14, 390, 30422, 427, 358, 535, 727, 14, 324, 254, 12511, 693, 1186, 274, 520, 16947, 14, 390, 17442, 33739, 14, 324, 254, 10183, 274, 520, 5645, 14, 390, 21289, 437, 256, 339, 3779, 18218, 14, 390, 416, 606, 302, 354, 304, 415, 75, 14, 390, 2009, 8579, 3392, 277, 2635, 302, 14, 390, 37991, 5579, 518, 443, 660, 1219, 286, 328, 286, 328, 16, 0, 34975, 15, 31255, 15, 17193, 16, 679, 3290, 35059, 33142, 23801, 14, 3327, 286, 642, 9123, 4358, 17193, 5146, 16, 826, 1581, 311, 1707, 328, 254, 1162, 274, 17381, 327, 403, 5043, 328, 254, 7142, 16, 7023, 254, 1640, 286, 944, 4489, 23801, 403, 2790, 282, 436, 1581, 16, 188, 33373, 33142, 12477, 17690, 452, 643, 2449, 407, 27161, 15, 31255, 15, 17193, 16, 679, 16, 0, 39, 2205, 315, 1830, 899, 732, 2145, 494, 14625, 2969, 10088, 15, 395, 15, 1935, 9902, 16, 1270, 37728, 28642, 366, 374, 16, 18, 7528, 2497, 2499, 683, 26416, 931, 16, 3535, 4152, 1221, 4172, 30566, 1508, 343, 7538, 40636, 5022, 7067, 16, 11994, 1211, 16064, 10088, 15, 395, 15, 1935, 4719, 2499, 683, 5011, 1013, 5011, 995, 16, 3535, 4152, 1221, 7332, 4686, 36747, 1707, 2983, 274, 47946, 324, 5114, 15, 33582, 11114, 15, 21259, 16, 188, 4914, 293, 1538, 556, 2313, 8387, 2949, 1707, 5008, 3820, 4457, 1269, 19241, 1508, 16, 1729, 375, 8278, 38844, 315, 16997, 2703, 18718, 300, 15, 21259, 286, 16893, 21493, 300, 15, 43548, 16, 1729, 375, 8278, 38844, 315, 4306, 19161, 2867, 2517, 324, 378, 20, 36, 41398, 16, 3511, 293, 1538, 3250, 300, 15, 20964, 2983, 274, 47946, 841, 13574, 31043, 324, 1767, 16, 3921, 704, 594, 6458, 11444, 4163, 343, 16, 0, 1516, 2391, 1722, 369, 14584, 343, 2653, 14, 3732, 14, 790, 14, 21873, 14, 15268, 14, 286, 8555, 274, 11995, 387, 254, 980, 16, 310, 5565, 310, 807, 1309, 596, 497, 11995, 274, 15268, 532, 28955, 327, 369, 417, 254, 1068, 16, 9598, 2065, 310, 3542, 2996, 1062, 17635, 282, 479, 16, 2666, 7158, 19998, 4667, 1919, 16, 10944, 2830, 310, 452, 593, 1125, 9138, 12604, 282, 2120, 328, 282, 16, 310, 5108, 22762, 28616, 343, 616, 348, 248, 1401, 16, 1469, 1845, 1315, 479, 513, 5745, 310 ]
[ 1, 9812, 14, 380, 27638, 4272, 9397, 14, 380, 13686, 6728, 25697, 17397, 9397, 2141, 380, 26384, 9397, 46468, 5541, 423, 330, 9397, 18489, 4580, 14, 1223, 1676, 371, 4123, 496, 15, 7260, 1223, 5883, 23464, 18489, 1180, 9397, 35801, 496, 36239, 1223, 9812, 85, 14, 380, 27638, 4272, 9397, 14, 380, 13686, 6728, 25697, 17397, 9397, 1223, 380, 26384, 9397, 16, 0, 686, 3793, 607, 27, 2672, 11042, 272, 984, 6113, 11503, 8820, 343, 1201, 505, 1078, 25219, 314, 82, 876, 1487, 11, 663, 3419, 248, 9138, 8686, 8455, 3046, 328, 44709, 26441, 5670, 16, 1286, 368, 452, 2378, 13500, 668, 254, 19223, 3005, 14, 19610, 14, 44682, 328, 633, 16842, 14, 1201, 505, 1078, 804, 10317, 512, 254, 39130, 16, 1691, 668, 1470, 29866, 14, 843, 852, 596, 1663, 668, 33, 1201, 505, 1078, 11834, 254, 3541, 16, 750, 555, 669, 643, 2041, 282, 372, 15, 3107, 688, 274, 254, 9776, 20626, 457, 85, 11330, 14, 533, 596, 1815, 497, 10919, 4591, 1091, 272, 8418, 7937, 16, 188, 1212, 11042, 248, 997, 888, 276, 671, 282, 254, 801, 8425, 10400, 17, 47269, 327, 11424, 254, 1470, 8135, 432, 254, 801, 888, 276, 254, 3447, 338, 26, 18, 18, 85, 282, 2966, 457, 85, 4829, 3963, 16, 188, 35, 20369, 286, 9138, 8820, 16, 0, 3294, 254, 2667, 352, 434, 5945, 11526, 328, 7365, 6086, 1125, 42838, 568, 2980, 282, 865, 843, 360, 3446, 772, 27362, 33601, 18197, 16, 380, 1527, 403, 254, 10464, 16, 21685, 465, 11286, 1119, 34, 22903, 16, 679, 324, 624, 1460, 16, 188, 36489, 248, 2245, 274, 4948, 15, 14252, 22571, 327, 5429, 495, 1558, 607, 4525, 16, 19423, 254, 9111, 16, 45473, 17, 9376, 23108, 274, 254, 1527, 9530, 33601, 6073, 28, 13232, 1625, 29594, 15798, 839, 265, 29, 9796, 32938, 595, 18744, 29, 11261, 9796, 657, 359, 32659, 29, 12941, 8709, 329, 570, 16, 188, 2976, 403, 2066, 3783, 387, 22811, 57, 16, 3072, 35, 2932, 43, 1374, 3215, 53, 16296, 16, 9257, 16, 20670, 276, 290, 5981, 282, 2706, 248, 3506, 1040, 16, 380, 6073, 6930, 1709, 282, 1241, 4525, 16, 380, 4805, 7389, 329, 570, 311, 4434, 314, 19, 26, 12691, 11, 286, 311, 1157, 324, 254, 5516, 16, 29616, 254, 10109, 30508, 286, 10964, 327, 4010, 16, 5650, 802, 818, 624, 7716, 6073, 18244, 16, 10068, 624, 814, 47935, 8247, 18244, 536, 8796, 366, 254, 5935, 286, 254, 8927, 407, 1610, 3, 7052, 368, 751, 2956, 14, 353, 4765, 6742, 286, 6742, 1033, 802, 282, 6384, 633, 2779, 17, 18113, 1912, 1637, 279, 22832, 286, 1773, 273, 29, 624, 23060, 286, 8597, 7552, 16, 0, 24, 396, 725, 15819, 21318, 16, 15554, 4740, 286, 3471, 532, 254, 15819, 311, 1419, 4837, 834, 16, 23945, 9587, 532, 3095, 248, 3709, 16, 188, 20, 286, 495, 7126, 12881, 15819, 432, 2009, 1208, 4543, 16, 380, 374, 396, 725, 311, 276, 1157, 1580, 14, 254, 495, 396, 725, 311, 1903, 286, 555, 248, 15581, 348, 34609, 16, 188, 21, 396, 725, 12881, 15819, 21318, 14, 618, 5588, 452, 7127, 254, 15819, 561, 328, 254, 1628, 1874, 274, 254, 4290, 16, 3006, 4607, 16, 7560, 915, 254, 7315, 7457, 324, 4139, 16, 17008, 1247, 1580, 16, 370, 19, 23, 18, 16, 20130, 597, 2532, 912, 816, 71, 16, 188, 20, 27441, 2620, 6474, 323, 22765, 428, 1158, 4231, 494, 428, 6321, 21385, 3, 188, 8043, 512, 14, 323, 3372, 374, 2155, 9587, 2483, 2620, 14, 331, 9503, 1800, 19, 2004, 454, 428, 40350, 7042, 2009, 1208, 5883, 389, 30168, 1158, 266, 343, 12231, 5646, 21385, 848, 17, 19, 18, 17512, 5196, 31386, 428, 374, 19, 19, 3472, 3208, 394, 428, 338, 18, 18, 3472, 15597, 370, 21, 18, 18, 5715, 331, 9503, 1800, 20, 9796, 16802, 693, 5883, 389, 30168, 21385, 848, 17, 19, 18, 17512, 5196, 31386, 428, 338, 26, 26, 3472, 3208, 394, 428, 890, 20, 3472, 15597, 370, 20, 18, 18, 5715, 1993, 2483, 2620, 452, 811, 643, 6876, 276, 248, 17823, 2244, 10413, 2876, 900, 16, 7052, 248, 1722, 4718, 16, 18235, 456, 276, 36196, 14408, 20130, 484, 756, 16, 21685, 479, 428, 4517, 398, 16, 0, 17651, 15, 32590, 7916, 324, 17246, 633, 5098, 387, 495, 18, 14, 18, 18, 18, 4525, 16, 188, 686, 254, 11454, 274, 254, 440, 39416, 3821, 4293, 328, 33976, 457, 85, 8404, 338, 21, 26, 18, 4182, 436, 2065, 14, 360, 1872, 248, 8075, 282, 9042, 772, 8223, 14, 276, 641, 8539, 2349, 14, 327, 368, 2102, 865, 254, 1640, 1026, 282, 5256, 633, 5098, 328, 248, 6243, 28, 731, 311, 11897, 327, 368, 2941, 843, 248, 6243, 457, 85, 7564, 25100, 785, 14, 7816, 286, 3575, 254, 10132, 457, 85, 5098, 19447, 14, 286, 2033, 254, 12454, 274, 254, 6243, 1033, 671, 368, 8550, 16, 188, 17455, 8312, 8404, 338, 21, 26, 18, 7212, 3821, 4293, 327, 4476, 282, 452, 4130, 7242, 274, 254, 3821, 282, 18217, 337, 254, 19064, 274, 254, 6243, 14, 9550, 580, 15388, 286, 2373, 971, 2489, 286, 29368, 248, 29490, 1233, 327, 2347, 254, 8404, 10132, 282, 8851, 35292, 282, 272, 27075, 830, 7564, 369, 10323, 16, 4539, 2211, 360, 3409, 368, 457, 619, 1582, 2377, 248, 3979, 9564, 2734, 348, 289, 2423, 273, 348, 254, 580, 327, 16026, 328, 327, 8404, 35691, 14, 286, 15008, 6041, 14, 248, 24463, 11260, 286, 2410, 274, 25763, 254, 43551, 314, 1889, 779, 82, 32024, 16, 679, 11, 24437, 10390, 327, 2634, 282, 254, 25311, 3284, 328, 8404, 338, 21, 26, 18, 2065, 14, 529, 16, 53, 16, 2257, 15066, 573, 417, 573, 248, 4544, 1295, 1544, 374, 18, 18, 23, 16, 188, 1368, 1141, 368, 457, 307, 2254, 286, 3611, 353, 512, 1063, 428, 286, 254, 8404, 10132, 774, 1002, 15939, 248, 2298, 668, 843, 2746, 353, 311, 282, 2120, 633, 3983, 348, 596, 7368, 843, 282, 12095, 283, 286, 440, 23725, 283, 248, 7126, 45454, 428, 532, 254, 948, 311, 944, 16026, 8014, 561, 286, 2891, 11897, 1460, 668, 254, 6243, 457, 85, 38314, 14, 1432, 889, 274, 7564, 25100, 14, 286, 254, 6177, 274, 9150, 7126, 8161, 1601, 1002, 670, 417, 8611, 2347, 16, 188, 2432, 457, 85, 1885, 327 ]
[ 1, 8018, 65, 4685, 10, 5401, 14, 6951, 14, 5224, 11, 324, 5224, 276, 4806, 1077, 926, 2086, 65, 8018, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 13446, 61, 10962, 1077, 926, 16814, 30855, 31, 29761, 30855, 14, 647, 2312, 534, 188, 1510, 791, 7763, 65, 12838, 65, 4685, 10, 4685, 28, 5218, 18318, 21439, 14, 3762, 28, 5389, 61, 6411, 44444, 477, 11916, 10703, 1999, 2099, 44438, 477, 16814, 30855, 426, 4739, 477, 2382, 426, 791, 8380, 65, 8018, 65, 5530, 10, 13117, 16, 784, 10, 4685, 16, 530, 65, 11548, 65, 7312, 65, 302, 14, 7954, 1210, 477, 603, 2382, 311, 417, 8037, 28, 647, 16814, 30855, 426, 2382, 16, 11017, 647, 603, 16814, 30855, 61, 18, 63, 2224, 12995, 1356, 926, 16814, 30855, 426, 270, 4, 3494, 40285, 29761, 30855, 12911, 1465, 1076, 19319, 340, 17323, 7577, 10, 647, 4877, 31, 26458, 22381, 14, 647, 21019, 31, 72, 4, 93, 4685, 16, 5401, 65, 302, 95, 5, 93, 4685, 16, 1554, 95, 5, 93, 29761, 30855, 31532, 647, 3310, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 41, 13697, 14, 647, 3310, 65, 5901, 65, 875, 567, 985, 647, 3929, 31, 4685, 16, 1554, 14, 647, 476, 65, 1935, 31, 5489, 14, 647, 476, 65, 27832, 31, 4937, 14, 647, 2086, 65, 8018, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 30436, 14834, 14, 647, 16814, 30855, 31, 29761, 30855, 14, 477, 2312, 534, 188, 1510, 791, 7763, 65, 33021, 10, 5401, 2192, 477, 11916, 10703, 2530, 8815, 324, 25374, 3310, 44438, 477, 13456, 1390, 14, 16814, 30855, 426, 3929, 16, 8909, 18849, 985, 374, 11, 477, 2530, 426, 19319, 340, 17323, 7577, 10, 647, 4877, 31, 26458, 22381, 14, 647, 21019, 31, 72, 4, 93, 5401, 31532, 647, 3310, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 41, 13697, 14, 647, 3310, 65, 5901, 65, 875, 567, 985, 647, 3929, 31, 1554, 14, 647, 476, 65, 1935, 31, 5489, 14, 647, 476, 65, 27832, 31, 4937, 14, 647, 2086, 20258, 1077, 647, 2086, 65, 8018, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 30436, 14834, 14, 647, 16814, 30855, 31, 29761, 30855, 14, 477, 2312, 1465, 9630, 426, 15205, 2495, 985, 347, 24117, 9431, 477, 9104, 426, 15205, 12838, 498, 2736, 985, 347, 29750, 560, 38829, 9431, 477, 324, 7109, 276, 9630, 28, 647, 324, 2169, 276, 9104, 28, 926, 2530, 16, 13487, 16, 9436, 10, 1003, 19319, 340, 17323, 7577, 10, 2498, 4877, 31, 26458, 22381, 14, 2498, 21019, 31, 72, 4, 93, 5401, 95, 2566, 93, 18069, 95, 5, 93, 10962, 31532, 2498, 3310, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 30436, 14834, 14, 2498, 3310, 65, 5901, 65, 875, 567, 985, 2498, 3929, 31, 72, 4, 93, 18069, 16, 5401, 1067, 95, 550, 10962, 16, 5401, 1067, 31532, 2498, 476, 65, 1935, 31, 5489, 14, 2498, 476, 65, 27832, 31, 4937, 14, 2498, 2086, 65, 8018, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 13446, 61, 10962, 1077, 1003, 2312, 926, 2312, 1465, 1076, 2530, 534, 188, 1510, 791, 7763, 65, 8018, 65, 4685, 10, 5401, 28, 1195, 14, 6951, 28, 1195, 14, 5224, 28, 25374, 17323, 5315, 2192, 477, 11916, 10703, 1999, 3310, 5224, 44438, 477, 13456, 2169, 426, 6951, 16, 8909, 18849, 985, 338, 11, 477, 1076, 19319, 340, 17323, 7577, 10, 647, 4877, 31, 26458, 22381, 14, 647, 21019, 31, 72, 4, 93, 5401, 95, 2566, 93, 13878, 95, 2566, 93, 4685, 16, 11017, 31532, 647, 3310, 65, 2360, 31, 4685, 16, 8018, 65, 2360, 14, 647, 3310, 65, 5901, 65, 875, 31, 47, 10373, 65, 10284, 65, 13446, 61, 10962, 1077, 647, 3929, 31, 4685, 16, 33205, 14, 647, 476, 65, 1935, 31, 4937, 14, 647, 476, 65, 27832, 31, 5489, 14, 647, 16814, 30855, 31, 4685, 16, 29761, 30855, 14, 477, 2312, 188, 0, 31311, 2976, 2752, 15579, 900, 4619, 8293, 44438, 534, 188, 2360, 11107, 16506, 24632, 32858, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 20816, 324, 248, 3327, 8047, 476, 625, 321, 1102, 44438, 477, 1477, 534, 188, 2360, 11107, 16506, 30458, 544, 32858, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 248, 32728, 2468, 321, 1102, 276, 248, 11107, 16506, 31311, 477, 1477, 534, 188, 2360, 1583, 13016, 72, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 641, 1365, 72, 311, 1225, 276, 248, 16635, 830, 2961, 31311, 477, 1477, 534, 188, 2360, 6110, 4387, 31324, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 248, 1110, 8468, 3238, 274, 248, 18977, 494, 31311, 477, 1477, 534, 188, 2360, 1583, 1128, 69, 383, 264, 42676, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 248, 16635, 4103, 1042, 417, 452, 272, 33795, 16635, 31311, 477, 1477, 534, 188, 2360, 31934, 11410, 35711, 2466, 4608, 10, 5173, 2192, 477, 11916, 20690, 1659, 670, 248, 42620, 6511, 2551, 11410, 35711, 2466, 66, 15529, 1390, 311, 9270, 44438, 477, 1477, 534, 188, 2360, 30647, 2689, 4608, 10, 5173, 2192, 1465, 11916, 5173, 5279, 670, 248, 7663, 2787, 2468, 321, 35444, 44438, 1465, 804, 4623, 4338, 21257, 1262, 14, 2787, 14, 1839, 2192, 647, 1827, 16, 8335, 426, 314, 926, 684, 40271, 13997, 7663, 2787, 34676, 12911, 428, 1839, 34676, 12911, 7011, 2386, 647, 13074, 7910, 10, 2617, 14, 1839, 11, 647, 2155, 4872, 870, 4338, 21257, 1262, 16, 8335, 11, 534, 188, 2360, 1583, 21839, 6386, 16079, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 248, 28519, 311, 3446, 343, 248, 1303, 15, 1235, 12689, 494, 7271, 31311, 1465, 804, 4623, 4338, 21257, 1262, 14, 7271, 2192, 647, 1827, 16, 8335, 426, 11865, 40271, 2706, 248, 7699, 324, 11836, 5813, 7910, 10, 26158, 1210, 647, 2155, 4872, 870, 4338, 21257, 1262, 16, 8335, 11, 534, 188, 2360, 23446, 44698, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 248, 8047, 311, 10331, 432, 7391, 22027, 2830, 44438, 1465, 804, 4623, 4338, 21257, 1262, 14, 8047, 65, 3039, 65, 3839, 14, 2429, 31, 11033, 2192, 647, 11916, 647, 1732, 5774, 28, 926, 8047, 65, 3039, 65, 3839, 314, 1320, 2192, 380, 1802, 282, 254, 8047, 1819, 533, 807, 1003, 417, 321, 9595, 16, 926, 2429, 314 ]
[ 1, 3473, 2431, 349, 1366, 648, 14, 22789, 3645, 321, 21306, 1379, 17603, 10454, 636, 5591, 7034, 447, 458, 1310, 26425, 260, 258, 8991, 12801, 375, 16, 12227, 282, 615, 3006, 1676, 33012, 3585, 360, 452, 417, 5597, 254, 17666, 2008, 387, 8166, 36, 3182, 16, 3574, 17183, 14613, 1613, 10729, 14270, 3682, 16052, 72, 2991, 6113, 14270, 10580, 3048, 323, 4685, 521, 14, 12260, 1736, 512, 266, 411, 10729, 8991, 12260, 11189, 382, 293, 10580, 3682, 28796, 3048, 636, 15311, 300, 1990, 606, 3682, 12163, 569, 34234, 323, 1016, 858, 1164, 459, 12559, 8380, 258, 26819, 16, 28626, 18120, 12163, 569, 13072, 5175, 82, 1471, 45010, 1542, 440, 92, 20608, 3263, 71, 2038, 37368, 12260, 1736, 5389, 71, 16, 18637, 20333, 11660, 1343, 298, 759, 3801, 16, 188, 15887, 2324, 81, 15214, 2038, 37368, 3682, 20835, 89, 293, 1813, 8166, 2324, 81, 7650, 1798, 655, 37505, 301, 14, 17601, 1542, 13051, 7179, 3847, 258, 8226, 45732, 1758, 1084, 559, 386, 3682, 9856, 324, 25096, 12515, 1064, 4218, 1629, 21548, 10580, 16, 15438, 17574, 15438, 17574, 22425, 19413, 652, 920, 258, 46574, 452, 643, 1034, 1873, 324, 615, 25082, 2636, 14, 18899, 25096, 2181, 286, 6450, 10377, 16, 5066, 16052, 68, 20748, 20608, 305, 14, 29480, 34234, 283, 10729, 23147, 699, 2324, 81, 9275, 27555, 16774, 405, 1758, 14, 34237, 18120, 35188, 14079, 318, 858, 278, 46356, 10627, 3642, 29219, 1813, 16, 12182, 436, 25096, 311, 417, 2066, 276, 633, 2504, 16, 39912, 1736, 36557, 588, 1188, 357, 1891, 19177, 7179, 12441, 258, 289, 2313, 15387, 8498, 11754, 31439, 365, 29299, 86, 16, 188, 510, 756, 3335, 4376, 311, 17890, 16, 380, 25096, 1042, 2903, 31135, 14, 4633, 12168, 286, 1924, 8688, 276, 1596, 282, 17890, 299, 8211, 16, 188, 1982, 368, 403, 5940, 276, 7353, 248, 3442, 274, 8166, 2324, 81, 14, 533, 311, 16753, 276, 45926, 348, 963, 348, 5974, 14, 368, 476, 1354, 5585, 274, 615, 27961, 3831, 16, 7052, 368, 2411, 248, 3442, 274, 254, 25096, 14, 368, 476, 1703, 615, 642, 31056, 22541, 14, 533, 2408, 2232, 38612, 324, 1081, 14815, 286, 2741, 1115, 16, 188, 2943, 368, 961, 282, 1649, 2501, 713, 633, 2320, 14, 8166, 2324, 81, 555, 2006, 8339, 2902, 2983, 2066, 16, 1395, 476, 889, 633, 655, 8671, 390, 10436, 9597, 16, 188, 1368, 476, 669, 889, 254, 3134, 274, 46848, 286, 14704, 1618, 334, 16, 380, 25096, 555, 642, 18292, 4466, 14, 1648, 4171, 21253, 16, 1286, 368, 403, 276, 872, 274, 1336, 390, 1305, 432, 436, 25096, 14, 8166, 2324, 81, 5961, 512, 274, 254, 7119, 2034, 274, 7528, 2497, 16, 188, 1368, 476, 2960, 729, 343, 272, 4436, 14, 248, 4341, 1052, 14, 248, 37252, 390, 248, 13919, 23412, 16, 21040, 311, 2066, 374, 22, 2942, 248, 1362, 16, 38394, 19137, 82, 1471, 403, 7656, 387, 8166, 2324, 81, 343, 7732, 33880, 276, 254, 9529, 16, 188, 5910, 274, 254, 14815, 3830, 368, 1503, 4126, 403, 28, 1286, 368, 747, 4311, 3830, 835, 368, 1503, 961, 282, 1574, 254, 11334, 12224, 2066, 1648, 28, 5696, 324, 688, 8143, 33, 188, 3131, 3830, 41280, 2408, 248, 5081, 274, 25089, 25267, 348, 963, 348, 15183, 789, 286, 657, 3276, 11717, 3891, 16, 25587, 792, 12224, 403, 248, 790, 1767, 274, 13494, 16, 1286, 368, 650, 747, 282, 1574, 248, 2099, 390, 763, 1045, 311, 248, 5278, 4269, 2732, 561, 28, 7683, 436, 1142, 282, 4017, 254, 16470, 2317, 286, 22402, 274, 272, 32187, 390, 45820, 9024, 3808, 16, 188, 15179, 2731, 10427, 77, 759, 25096, 343, 1062, 5167, 4024, 2586, 16, 657, 28979, 428, 1395, 587, 4615, 436, 16815, 387, 254, 671, 274, 633, 18292, 532, 476, 1582, 10407, 254, 16815, 16, 188, 8828, 561, 772, 5199, 23132, 8870, 8217, 16, 9506, 2994, 366, 8028, 428, 8166, 2324, 81, 9506, 2994, 682, 16, 188, 3722, 87, 705, 12941, 428, 338, 9956, 16, 8939, 37940, 274, 39723, 499, 4858, 27220, 8421, 34955, 286, 915, 642, 9884, 33490, 4466, 16, 37936, 1074, 383, 3330, 7179, 360, 613, 445, 7813, 72, 1219, 6149, 1506, 4635, 411, 3473, 267, 4058, 1672, 80, 28, 37936, 1074, 293, 883, 6113, 26495, 742, 36265, 21540, 6398, 6553, 15, 44449, 16, 41127, 20996, 260, 4384, 1951, 7650, 44102, 2739, 19535, 5627, 20996, 260, 44745, 1542, 16052, 14, 3048, 1291, 15387, 2675, 2857, 7835, 1891, 709, 16, 15214, 2038, 37368, 3682, 20835, 89, 293, 1813, 8166, 2324, 81, 7650, 374, 20, 19, 68, 655, 37505, 301, 14, 17601, 1542, 13051, 7179, 3847, 258, 8226, 45732, 1758, 1084, 559, 386, 3682, 9856, 324, 25096, 12515, 1064, 4218, 1629, 21548, 10580, 16, 2253, 254, 801, 580, 663, 587, 25096, 1887, 18574, 374, 18, 1903, 26964, 353, 16, 5243, 4436, 2859, 587, 417, 321, 3737, 16, 1569, 87, 705, 14414, 23, 18, 18, 345, 8161, 45316, 40482, 1270, 428, 338, 9956, 16, 11903, 665, 19210, 390, 8166, 2324, 81, 25096, 42069, 18427, 5809, 68, 329, 5809, 68, 329, 16, 8166, 36, 3182, 513, 417, 2023, 665, 4139, 274, 615, 17666, 2008, 328, 615, 4282, 286, 348, 596, 513, 417, 2903, 1924, 6211, 360, 587, 5307, 436, 282, 321, 607, 1842, 16, 416, 4787, 35482, 6923, 1629, 6190, 247, 16016, 323, 1923, 81, 19015, 1028, 500, 14462, 638, 6292, 3, 188, 22192, 36557, 588, 1188, 357, 1891, 289, 34849, 86, 2800, 2991, 8214, 469, 332, 1476, 33553, 252, 490, 14, 20996, 11171, 18120, 3048, 300, 305, 1704, 6998, 12885, 1891, 29005, 7142, 10580, 14, 369, 276, 1736, 27877, 321, 12901, 293, 19177, 35562, 442, 16, 37936, 1074, 293, 883, 6113, 26495, 742, 36265, 21540, 6398, 6553, 15, 44449, 16, 1569, 460, 444, 15, 28547, 15, 3711, 33895, 23147, 12658, 2264, 2307, 566, 291, 661, 384, 16, 5199, 291, 15, 21833, 258, 15, 54, 20678, 9942, 39723, 2003, 311, 417, 512, 348, 3648, 403, 669, 3994, 282, 248, 30695, 6086, 374, 607, 18, 29912, 16815, 597, 282, 779, 1062, 1689, 1362, 841, 502, 1293, 25096, 7725, 924, 338, 8521, 16, 37936, 1074, 293, 883, 6113, 26495, 742, 36265, 21540, 6398, 6553, 15, 44449, 16, 11267, 445, 554, 626, 403, 641, 9856, 324, 699, 2324, 81, 39723, 16, 4906, 597, 282, 338, 20, 11535, 38612, 1691, 434, 593, 2628 ]
[ 1, 869, 7964, 3246, 434, 27220, 286, 11261, 15497, 16, 27243, 6667, 403, 7775, 432, 1033, 15964, 274, 254, 2779, 16, 380, 2752, 15, 20364, 1683, 17443, 328, 607, 24, 15063, 14174, 19464, 274, 6397, 46607, 2575, 16, 380, 8085, 5961, 248, 1683, 274, 4911, 495, 26, 18, 18, 6106, 4525, 343, 763, 6131, 47160, 14, 763, 23536, 36025, 286, 1241, 286, 248, 2630, 43902, 16, 380, 16313, 2245, 324, 512, 633, 1963, 286, 3732, 311, 5723, 286, 9587, 343, 9138, 6667, 274, 254, 8476, 14299, 16, 380, 22835, 555, 13597, 14, 2006, 46155, 14, 248, 11155, 2244, 286, 248, 37947, 18914, 16, 826, 22835, 555, 16897, 1125, 1247, 3327, 11824, 286, 2591, 3284, 16, 26963, 254, 23941, 311, 248, 1330, 1668, 16735, 327, 369, 1252, 3932, 1400, 324, 248, 571, 1126, 751, 15, 12249, 16, 188, 2678, 273, 2449, 22882, 274, 8138, 1179, 71, 42541, 8368, 274, 42416, 8529, 1676, 9469, 16, 0, 35, 3097, 369, 1143, 407, 12828, 8529, 286, 1250, 265, 407, 16454, 23683, 262, 282, 14611, 254, 15547, 14, 348, 3443, 16, 380, 3097, 369, 6825, 495, 15, 18, 6101, 16, 188, 35, 3097, 369, 1143, 407, 16454, 23683, 262, 286, 1250, 265, 407, 12828, 8529, 282, 2903, 254, 2819, 274, 254, 2072, 4654, 286, 8925, 6692, 2828, 328, 7738, 14, 3850, 374, 18, 14, 374, 18, 19, 25, 286, 8109, 14, 3850, 374, 26, 14, 374, 18, 19, 25, 16, 380, 3097, 369, 6825, 495, 15, 18, 6101, 16, 188, 35, 3097, 369, 1143, 407, 12828, 8529, 286, 1250, 265, 407, 16454, 23683, 262, 282, 2903, 254, 1581, 274, 30917, 13210, 14, 348, 3443, 16, 380, 3097, 369, 6825, 495, 15, 18, 6101, 16, 188, 510, 3097, 369, 6825, 495, 15, 18, 6101, 16, 188, 35, 3097, 369, 1143, 407, 12828, 8529, 286, 1250, 265, 407, 16454, 23683, 262, 282, 22530, 11715, 15, 23, 457, 85, 14, 348, 3443, 16, 380, 3097, 369, 6825, 495, 15, 18, 6101, 16, 188, 1737, 26242, 319, 282, 2062, 23361, 737, 1939, 1293, 348, 272, 23381, 10501, 45196, 387, 24463, 10240, 4580, 17, 3329, 4704, 4580, 3458, 4087, 576, 14, 374, 18, 19, 25, 16, 188, 1737, 26242, 319, 282, 2062, 34321, 21922, 348, 248, 10126, 10017, 45196, 387, 444, 12720, 33298, 4580, 3458, 4087, 576, 14, 374, 18, 19, 25, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 2549, 524, 319, 274, 12345, 3649, 1386, 14, 40319, 268, 17258, 387, 37276, 33298, 4580, 14, 3458, 3850, 338, 27, 14, 374, 18, 19, 25, 16, 188, 2549, 524, 319, 274, 655, 777, 466, 43847, 2139, 14, 18960, 31712, 387, 25697, 14, 3458, 3850, 813, 14, 374, 18, 19, 25, 16, 188, 1737, 26242, 319, 282, 3577, 2436, 16398, 432, 248, 331, 461, 352, 753, 387, 24463, 4704, 4580, 282, 248, 11983, 331, 461, 352, 753, 387, 444, 12720, 33298, 4580, 3458, 4029, 495, 14, 374, 18, 19, 25, 16, 188, 1737, 26242, 319, 282, 3577, 610, 13514, 23245, 432, 272, 40319, 268, 17258, 387, 444, 12720, 33298, 4580, 282, 248, 628, 671, 9274, 3458, 4087, 576, 14, 374, 18, 19, 25, 16, 188, 1737, 26242, 319, 282, 3577, 1469, 19131, 7410, 1191, 432, 272, 40319, 268, 17258, 282, 248, 11092, 330, 504, 387, 444, 12720, 33298, 4580, 3458, 4087, 576, 14, 374, 18, 19, 25, 16, 188, 1737, 26242, 319, 282, 2062, 655, 38623, 11113, 348, 272, 40319, 268, 17258, 387, 444, 12720, 33298, 4580, 3458, 4087, 576, 14, 374, 18, 19, 25, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 2062, 36216, 43351, 348, 248, 2057, 671, 8530, 15, 25101, 18960, 31712, 387, 25697, 3458, 4598, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 2062, 20614, 17170, 348, 248, 418, 1475, 2290, 17258, 3458, 4598, 16, 188, 1737, 26242, 319, 282, 22530, 512, 18960, 399, 30633, 14, 4823, 18960, 399, 30633, 14, 286, 18960, 330, 1456, 387, 25697, 14, 348, 3443, 16, 188, 1737, 26242, 319, 282, 2062, 28748, 418, 1147, 4239, 348, 272, 17258, 25280, 457, 34621, 27481, 314, 8909, 1844, 11, 387, 24463, 4704, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 2062, 6132, 26724, 8543, 285, 3522, 348, 272, 17258, 25280, 457, 34621, 27481, 314, 8909, 1844, 11, 387, 24463, 4704, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 2062, 10722, 9782, 367, 2503, 348, 272, 17258, 29081, 1318, 26100, 457, 39170, 27481, 387, 24463, 4704, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 2062, 15221, 40605, 348, 248, 813, 394, 27774, 11983, 15355, 27481, 387, 24463, 10240, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 16, 188, 1737, 26242, 319, 282, 2062, 10722, 16188, 348, 248, 813, 394, 27774, 17258, 15355, 27481, 387, 24463, 10240, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 6370, 16200, 69, 32375, 348, 248, 37566, 255, 17258, 26100, 457, 34621, 27481, 387, 24463, 4704, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 6370, 15031, 473, 10306, 348, 248, 37566, 255, 17258, 848, 394, 27774, 6663, 2139, 2820, 27481, 387, 24463, 10240, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 12878, 67, 388, 560, 2139, 9501, 8969, 282, 7829, 18306, 5039, 33664, 939, 17989, 25823, 282, 321, 2828, 328, 4029, 338, 22, 14, 374, 18, 19, 25, 387, 42630, 9960, 5117, 1186, 5044, 276, 4117, 42147, 14, 2856, 16, 188, 46, 592, 20798, 9501, 8969, 282, 7829 ]
[ 1, 188, 3719, 684, 28933, 13575, 10, 35424, 11, 188, 0, 2855, 20272, 188, 2720, 73, 426, 20272, 16, 784, 25540, 18050, 1554, 31178, 188, 339, 4623, 1554, 870, 2224, 347, 870, 7073, 870, 1356, 188, 187, 34832, 16, 21050, 5985, 10, 5097, 31, 34832, 16, 10042, 10181, 14, 5811, 567, 44366, 285, 292, 552, 11, 85, 2384, 10, 1554, 11, 85, 2384, 10, 5097, 1554, 4444, 23, 85, 28, 2384, 10, 8335, 11, 85, 2719, 188, 188, 2855, 11555, 188, 2855, 671, 188, 2855, 13783, 188, 2855, 3512, 188, 2855, 261, 10424, 188, 188, 3933, 257, 11511, 20, 1369, 475, 188, 188, 5, 440, 13601, 836, 282, 889, 7048, 412, 1187, 78, 188, 5, 3933, 7292, 5820, 16, 5820, 1369, 475, 188, 5, 3028, 6018, 12235, 72, 426, 1265, 6018, 12235, 188, 188, 3933, 5280, 1187, 78, 1369, 475, 534, 188, 2360, 401, 789, 26159, 28, 188, 187, 1510, 4623, 4338, 21257, 1262, 14, 5566, 65, 30128, 65, 29462, 31, 18, 16, 23, 2192, 986, 187, 31311, 1218, 1827, 16, 72, 789, 324, 3340, 11916, 986, 187, 1262, 16, 72, 789, 426, 470, 16, 986, 187, 1262, 16, 30128, 426, 5566, 65, 30128, 65, 29462, 986, 187, 1262, 3226, 19689, 426, 470, 16, 986, 187, 1262, 3226, 486, 253, 426, 470, 16, 986, 187, 1262, 3226, 6103, 65, 9007, 65, 486, 426, 470, 16, 534, 187, 1510, 6862, 10, 1262, 14, 19070, 2192, 986, 187, 1262, 3226, 486, 253, 6892, 19070, 986, 187, 1262, 3226, 19689, 6892, 338, 16, 986, 187, 339, 1827, 3226, 486, 2170, 1827, 16, 30128, 28, 978, 187, 1262, 16, 72, 789, 426, 1827, 3226, 19689, 1209, 1827, 3226, 486, 978, 187, 1262, 3226, 486, 253, 426, 470, 16, 978, 187, 1262, 3226, 19689, 426, 470, 16, 534, 188, 2360, 14104, 24596, 28, 188, 187, 1510, 4623, 4338, 21257, 1262, 14, 1246, 14, 341, 14, 3758, 14, 362, 2192, 986, 187, 1262, 16, 90, 14, 1827, 16, 91, 426, 1246, 14, 341, 986, 187, 1262, 16, 20649, 426, 3758, 986, 187, 1262, 16, 88, 426, 362, 986, 187, 1262, 16, 486, 426, 470, 16, 986, 187, 1262, 16, 26019, 426, 16247, 986, 187, 1262, 16, 84, 426, 470, 16, 986, 187, 1262, 16, 6286, 7610, 426, 470, 16, 24, 986, 187, 1262, 16, 13693, 20649, 426, 3758, 534, 187, 1510, 8376, 10, 1262, 2192, 986, 187, 1262, 16, 2123, 2070, 426, 338, 22, 18, 16, 6703, 187, 67, 426, 13783, 16, 4470, 2380, 10, 1262, 16, 20649, 558, 1827, 16, 13693, 20649, 11, 986, 187, 90, 19, 14, 341, 19, 426, 1827, 16, 90, 558, 1827, 16, 84, 475, 13783, 16, 7237, 10, 67, 581, 1827, 16, 91, 558, 1827, 16, 84, 475, 13783, 16, 4604, 10, 67, 11, 986, 187, 67, 426, 13783, 16, 4470, 2380, 10, 1262, 16, 20649, 558, 1827, 16, 13693, 20649, 558, 1827, 16, 2123, 2070, 11, 986, 187, 90, 20, 14, 341, 20, 426, 1827, 16, 90, 558, 1827, 16, 84, 475, 13783, 16, 7237, 10, 67, 581, 1827, 16, 91, 558, 1827, 16, 84, 475, 13783, 16, 4604, 10, 67, 11, 986, 187, 67, 426, 13783, 16, 4470, 2380, 10, 1262, 16, 20649, 558, 1827, 16, 13693, 20649, 428, 1827, 16, 2123, 2070, 11, 986, 187, 90, 21, 14, 341, 21, 426, 1827, 16, 90, 558, 1827, 16, 84, 475, 13783, 16, 7237, 10, 67, 581, 1827, 16, 91, 558, 1827, 16, 84, 475, 13783, 16, 4604, 10, 67, 11, 6703, 187, 3028, 6399, 22, 70, 10, 19, 896, 470, 16, 21, 14, 470, 16, 20, 14, 338, 16, 428, 1827, 16, 486, 1209, 1827, 16, 6286, 7610, 11, 6703, 187, 3028, 23614, 10, 5820, 65, 3025, 43, 13983, 1791, 65, 40, 1505, 11, 986, 187, 3028, 26449, 21, 70, 10, 90, 19, 14, 341, 19, 14, 470, 2612, 986, 187, 3028, 26449, 21, 70, 10, 90, 20, 14, 341, 20, 14, 470, 2612, 986, 187, 3028, 26449, 21, 70, 10, 90, 21, 14, 341, 21, 14, 470, 2612, 986, 187, 3028, 7486, 1067, 6703, 187, 3028, 6399, 22, 70, 10, 18, 16, 22, 14, 470, 896, 470, 896, 338, 16, 428, 1827, 16, 486, 1209, 1827, 16, 6286, 7610, 11, 6703, 187, 3028, 23614, 10, 5820, 65, 14923, 65, 8151, 2707, 11, 986, 187, 3028, 26449, 21, 70, 10, 90, 19, 14, 341, 19, 14, 470, 2612, 986, 187, 3028, 26449, 21, 70, 10, 90, 20, 14, 341, 20, 14, 470, 2612, 986, 187, 3028, 26449, 21, 70, 10, 90, 21, 14, 341, 21, 14, 470, 2612, 986, 187, 3028, 7486, 1067, 534, 187, 1510, 6862, 10, 1262, 14, 19070, 2192, 986, 187, 1262, 16, 84, 6892, 19070, 475, 848, 16, 986, 187, 1262, 16, 90, 6892, 1827, 16, 88, 475, 13783, 16, 7237, 10, 677, 16, 4470, 2380, 10, 1262, 16, 20649, 1210, 475, 19070, 986, 187, 1262, 16, 91, 6892, 1827, 16, 88, 475, 13783, 16, 4604, 10, 677, 16, 4470, 2380, 10, 1262, 16, 20649, 1210, 475, 19070, 986, 187, 1262, 16, 486, 6892, 19070, 986, 187, 1262, 16, 13693, 20649, 6892, 19070, 475, 338, 23, 18, 18, 16, 986, 187, 339, 1827, 16, 486, 2170, 1827, 16, 6286, 7610, 28, 978, 187, 1262, 16, 26019, 426, 11475, 534, 188, 2360, 35530, 28, 188, 187, 1510, 4623, 4338, 21257, 1262, 14, 1246, 14, 341, 14, 3758, 14, 362, 14, 7109, 2192, 986, 187, 1262, 16, 90, 14, 1827, 16, 91, 426, 1246, 14, 341, 986, 187, 1262, 16, 20649, 426, 3758, 986, 187, 1262, 16, 88, 426, 362, 986, 187, 1262, 16, 486, 426, 470, 16, 986, 187, 1262, 16, 84, 426, 470, 16, 23, 986, 187, 1262, 16, 26019, 426, 16247, 986, 187, 1262, 16, 18069, 426, 7109, 534, 187, 1510, 8376, 10, 1262, 2192, 986, 187, 67, 426, 13783, 16, 4470, 2380, 10, 1262, 16, 20649, 11, 986, 187, 90, 20, 14, 341, 20, 426, 1827, 16, 90, 14, 210, 1827, 16, 91, 986, 187, 90, 19, 14, 341, 19, 426, 1827, 16, 90, 558, 1827, 16, 84, 475, 13783, 16, 7237, 10, 67, 581, 1827, 16, 91, 558, 1827, 16, 84, 475, 13783, 16, 4604, 10, 67, 11, 6703, 187, 3028, 2721, 792, 6917, 10 ]
[ 1, 286, 16963, 3894, 18979, 85, 1140, 5846, 2453, 282, 1390, 248, 1603, 286, 439, 13988, 16, 1982, 368, 8012, 248, 10305, 47454, 11874, 368, 476, 14631, 282, 338, 17, 20, 4, 29335, 47454, 11874, 532, 587, 2353, 368, 282, 889, 3109, 20711, 2298, 343, 6081, 29335, 1637, 683, 338, 17, 20, 4, 324, 6681, 2243, 4793, 16, 188, 2052, 266, 343, 10305, 9278, 22967, 14311, 286, 47454, 14, 1021, 318, 398, 3838, 16, 188, 8274, 28, 436, 311, 248, 330, 282, 378, 42584, 13325, 324, 5862, 3944, 2471, 13558, 274, 1996, 637, 1828, 390, 1303, 3640, 9065, 11106, 390, 6234, 16, 1395, 1339, 3355, 1026, 1051, 282, 1577, 1444, 16, 1673, 6535, 311, 1640, 2471, 5569, 368, 1074, 248, 1157, 348, 43494, 2471, 16, 465, 1153, 635, 21750, 19469, 31354, 5374, 8285, 587, 1862, 1640, 1508, 328, 641, 3640, 16, 188, 2943, 16699, 276, 10305, 47454, 39278, 4680, 6143, 9286, 28378, 328, 7591, 13048, 3377, 353, 12979, 276, 24525, 16, 10072, 2008, 353, 587, 14101, 276, 1619, 16, 188, 7639, 3751, 610, 943, 2353, 261, 8833, 46396, 593, 4356, 1545, 1603, 1842, 390, 593, 324, 443, 19, 18, 323, 4858, 5258, 1063, 596, 6044, 348, 615, 3553, 957, 282, 1316, 286, 512, 6837, 328, 261, 8833, 785, 3195, 1438, 328, 314, 20188, 18911, 11, 669, 1545, 338, 15, 20, 260, 659, 603, 6143, 311, 6774, 286, 311, 276, 5574, 324, 6143, 9286, 2629, 1063, 11492, 16, 0, 10891, 28, 29947, 374, 19, 19, 13919, 29947, 470, 529, 12609, 374, 19, 19, 28, 9562, 406, 281, 4488, 399, 375, 38513, 374, 13794, 29947, 374, 19, 19, 3191, 21676, 273, 28, 657, 5335, 9562, 406, 281, 4488, 24585, 399, 375, 38513, 28, 8229, 587, 3223, 33, 4966, 12316, 71, 16, 657, 5335, 9562, 406, 281, 4488, 24585, 399, 375, 38513, 276, 3778, 28, 330, 7404, 16, 29947, 374, 19, 19, 28, 10967, 29663, 286, 13965, 15, 250, 387, 411, 359, 925, 91, 22468, 16, 9562, 406, 281, 4488, 399, 375, 38513, 28, 10903, 24993, 349, 21308, 24585, 399, 375, 38513, 282, 321, 2330, 888, 16, 657, 5335, 9562, 406, 281, 4488, 24585, 399, 375, 38513, 28, 330, 5871, 7150, 274, 14248, 16, 0, 3269, 756, 2537, 1842, 5615, 1863, 3206, 8486, 273, 6086, 286, 580, 274, 254, 1643, 10282, 26762, 28616, 274, 254, 802, 4917, 14, 40442, 5602, 2865, 248, 17262, 274, 34702, 568, 432, 254, 25961, 328, 6612, 14, 2474, 282, 30109, 14586, 9, 2702, 1180, 614, 16, 188, 510, 1280, 2957, 327, 254, 25961, 10202, 4602, 555, 6930, 5352, 495, 18, 1015, 11007, 7465, 5675, 14, 2185, 434, 14247, 14, 286, 3425, 286, 1631, 16, 188, 2432, 403, 641, 38603, 4317, 327, 14, 532, 254, 40442, 5602, 5675, 2024, 555, 643, 276, 286, 561, 274, 254, 25961, 434, 2743, 74, 3399, 687, 254, 2391, 4422, 274, 1090, 16, 31481, 568, 801, 3297, 276, 12369, 276, 4297, 274, 374, 18, 19, 22, 14, 533, 369, 669, 801, 2287, 407, 30109, 14586, 16, 188, 8465, 5603, 14, 254, 25961, 9831, 272, 5672, 713, 4043, 13047, 18616, 10862, 418, 608, 2495, 309, 4398, 301, 533, 3849, 282, 248, 4941, 15, 12838, 13030, 282, 1242, 254, 374, 18, 19, 23, 6649, 5675, 2858, 16, 309, 4398, 301, 5968, 345, 650, 4750, 254, 13565, 27704, 1527, 40442, 5602, 9, 32818, 18904, 3223, 687, 16872, 2341, 16, 188, 510, 11477, 274, 436, 3547, 4428, 625, 321, 1181, 7007, 324, 1450, 8462, 28777, 7446, 2635, 16, 1260, 374, 22, 25, 24360, 2704, 561, 14, 40442, 5602, 1503, 452, 254, 5793, 26762, 8621, 276, 254, 2504, 348, 254, 2024, 13792, 282, 2575, 254, 1708, 15, 14312, 265, 15002, 956, 276, 374, 18, 19, 24, 16, 380, 1676, 43954, 4250, 1741, 387, 1583, 16, 576, 276, 254, 30817, 16, 0, 8048, 802, 14, 11607, 49, 36279, 10047, 2292, 254, 944, 1726, 4314, 276, 254, 36863, 47139, 24638, 16, 826, 802, 14, 254, 7847, 587, 1354, 1619, 328, 4028, 374, 23, 1091, 374, 25, 387, 254, 20843, 3801, 15320, 5044, 276, 26737, 14, 286, 3789, 53, 36863, 5734, 311, 1062, 9714, 282, 10302, 327, 353, 587, 321, 29188, 387, 31231, 1800, 20, 18, 19, 26, 16, 1180, 1093, 15910, 254, 2288, 14, 360, 1623, 3409, 327, 368, 476, 1074, 254, 671, 282, 4010, 441, 286, 2941, 624, 668, 254, 512, 15, 258, 16000, 273, 5322, 360, 3831, 282, 1920, 368, 11733, 3, 188, 6426, 1890, 254, 2288, 324, 3789, 53, 587, 321, 248, 2214, 274, 495, 18, 13, 8925, 15, 5097, 2214, 2672, 286, 14654, 663, 587, 33365, 772, 10314, 34763, 4602, 273, 14, 11065, 14, 9995, 14, 9690, 8478, 1209, 10943, 14, 9690, 4305, 6053, 286, 3163, 348, 963, 348, 772, 33657, 1360, 9115, 3134, 16, 1583, 2563, 748, 633, 2485, 457, 85, 30836, 403, 14, 3789, 53, 476, 1336, 368, 8194, 729, 407, 1541, 971, 248, 2024, 327, 311, 4311, 282, 633, 5833, 286, 254, 8758, 9690, 9115, 3095, 353, 1503, 2377, 16, 188, 686, 1596, 282, 4569, 624, 668, 3789, 53, 36863, 5734, 14, 7847, 35596, 587, 669, 4126, 2876, 282, 6761, 671, 343, 624, 683, 848, 26, 18, 4663, 4956, 432, 512, 687, 254, 1499, 16, 188, 2148, 1093, 663, 587, 321, 328, 15, 10968, 1285, 254, 2288, 14, 368, 457, 619, 321, 8814, 282, 865, 327, 626, 587, 321, 248, 4524, 18329, 34488, 14, 272, 10314, 34763, 9115, 7131, 14, 248, 15256, 14405, 348, 963, 348, 11607, 49, 36279, 2421, 14, 533, 311, 248, 31167, 3609, 2211, 327, 10665, 3148, 432, 39014, 18195, 2814, 4484, 13493, 282, 6808, 13510, 10090, 1296, 4425, 5567, 18489, 16, 188, 9981, 1091, 2003, 811, 668, 10665, 353, 16, 1286, 368, 457, 251, 2731, 324, 624, 1460, 668, 3789, 53, 36863, 5734, 286, 748, 2701, 441, 254, 2485, 343, 769, 53, 16537, 282, 16144, 1395, 40385, 1756, 4356, 5370, 254, 2951, 7457, 282, 772, 2485, 1390, 16, 19957, 14, 1093, 663, 403, 5940, 276, 4569, 624, 668, 11607, 49, 36279, 286, 254, 8418, 33657, 9115, 2288, 9121, 276, 26737, 328, 4028, 374, 23, 428, 20, 25, 14, 4356, 5370, 1045, 16, 188, 7849, 593, 1181, 324, 3089, 254, 671, 2966, 14, 286, 360, 997, 3461, 282, 6349, 368, 512, 387, 31231, 1800, 20 ]
[ 1, 188, 2778, 8168, 2835, 369, 9394, 27824, 324, 248, 13936, 15, 17364, 2371, 432, 19587, 28, 345, 457, 70, 643, 5279, 10229, 14, 345, 7233, 1919, 432, 9343, 387, 688, 1110, 286, 6350, 2144, 282, 8994, 254, 42267, 17464, 345, 2950, 276, 19648, 14, 532, 311, 7317, 668, 254, 9197, 10073, 274, 772, 2504, 16, 14125, 14, 387, 641, 1110, 276, 772, 7621, 369, 1996, 274, 441, 1989, 796, 16, 314, 28828, 353, 4634, 1051, 327, 1802, 14, 310, 650, 452, 16315, 324, 2056, 14, 47511, 1120, 390, 641, 47511, 1120, 2612, 750, 369, 5940, 14, 8121, 286, 2875, 14, 276, 618, 2835, 286, 276, 618, 1963, 14, 286, 276, 748, 24228, 441, 282, 5053, 254, 1464, 360, 457, 307, 26324, 561, 324, 9113, 16, 188, 1130, 369, 2602, 248, 1157, 23609, 274, 254, 1575, 274, 2835, 16, 6317, 403, 10466, 13947, 286, 9009, 262, 1452, 14, 286, 310, 1141, 327, 276, 436, 1362, 286, 2289, 3233, 14, 596, 961, 282, 915, 1464, 16, 4772, 580, 872, 417, 997, 2019, 282, 915, 830, 5779, 555, 2584, 441, 1230, 7989, 14, 23266, 14, 286, 1136, 16707, 592, 276, 254, 2377, 274, 7386, 403, 2378, 593, 7602, 41012, 432, 254, 8698, 12660, 16, 7614, 14, 254, 6109, 1129, 3427, 2966, 1606, 282, 321, 624, 668, 15945, 14, 2080, 1186, 14, 286, 254, 6995, 282, 6725, 9177, 13672, 6570, 348, 14, 963, 14, 6995, 16, 188, 3992, 1038, 457, 86, 751, 479, 3320, 16, 310, 457, 79, 2056, 310, 573, 668, 348, 1181, 3373, 328, 436, 636, 348, 30374, 47037, 258, 3061, 852, 14, 6876, 314, 395, 18191, 1230, 43, 4143, 603, 345, 2378, 3432, 457, 86, 18191, 14276, 440, 1073, 276, 254, 636, 457, 85, 29482, 16, 310, 1848, 457, 86, 1041, 248, 6283, 561, 274, 775, 314, 43, 3470, 457, 86, 2732, 581, 310, 1848, 457, 86, 18045, 775, 327, 345, 286, 520, 4335, 12406, 282, 5129, 248, 1401, 314, 43, 3470, 457, 86, 2732, 581, 286, 310, 715, 2056, 345, 457, 85, 1034, 1544, 14059, 668, 254, 22742, 3306, 328, 254, 32435, 327, 345, 8300, 1815, 369, 248, 27715, 14, 532, 663, 3416, 561, 282, 452, 248, 46655, 274, 5588, 286, 248, 12161, 15003, 324, 7467, 16, 1268, 327, 457, 85, 417, 1623, 254, 1110, 16, 380, 1110, 311, 327, 310, 5926, 248, 1330, 5158, 274, 254, 2835, 327, 2572, 555, 1635, 479, 14, 286, 310, 457, 79, 1845, 3853, 327, 2572, 457, 85, 2835, 12406, 282, 321, 2117, 14, 286, 4395, 254, 4954, 15437, 282, 3768, 353, 276, 1408, 276, 248, 944, 12100, 1026, 16, 188, 5538, 254, 2560, 2835, 16, 731, 587, 321, 4269, 633, 671, 16, 0, 18422, 267, 17504, 1594, 713, 8603, 434, 2394, 16, 188, 45, 7616, 555, 1845, 643, 5167, 282, 479, 16, 188, 4816, 513, 368, 961, 282, 915, 10483, 33, 188, 43, 865, 416, 994, 16926, 12695, 14247, 16, 188, 6630, 258, 13500, 670, 254, 24648, 650, 3408, 16, 188, 47885, 307, 17541, 403, 2828, 324, 4517, 86, 434, 5098, 16, 188, 2899, 267, 4811, 2674, 1241, 1090, 3502, 16, 188, 5338, 625, 1970, 479, 2626, 368, 1038, 625, 961, 323, 9757, 282, 865, 16, 188, 8450, 5153, 14, 310, 961, 282, 452, 248, 1612, 2241, 343, 368, 16, 188, 1934, 255, 1391, 311, 10493, 328, 254, 2741, 16, 188, 26563, 311, 1851, 520, 3904, 354, 5272, 88, 1219, 1689, 1722, 16, 188, 510, 10442, 3362, 8245, 4428, 625, 751, 248, 1157, 473, 20, 2140, 4221, 974, 22706, 434, 3448, 497, 593, 5252, 16, 188, 31468, 255, 777, 26073, 2082, 520, 27292, 6249, 8572, 16, 188, 3916, 368, 865, 843, 282, 2960, 8973, 6060, 81, 33, 188, 41, 30850, 9874, 520, 259, 3228, 1672, 282, 915, 843, 2019, 345, 1817, 8649, 16, 188, 52, 2248, 1448, 18039, 265, 254, 6571, 742, 520, 1096, 8102, 16, 188, 53, 6805, 9183, 1143, 790, 274, 254, 1026, 310, 2241, 16, 188, 45085, 369, 2117, 345, 573, 2832, 811, 3970, 16, 188, 43, 1141, 310, 865, 748, 13705, 8199, 311, 2430, 1045, 16, 188, 5882, 609, 369, 248, 9382, 24806, 16, 0, 6545, 596, 1623, 13922, 436, 328, 4028, 401, 1047, 434, 6086, 33, 188, 15445, 254, 33605, 40255, 37118, 553, 297, 1546, 324, 633, 4688, 282, 3223, 248, 370, 23, 14, 18, 18, 18, 38760, 9597, 324, 633, 1689, 1247, 2371, 443, 1433, 1089, 3, 2048, 15427, 274, 4953, 41277, 286, 19985, 1483, 3840, 16, 188, 17622, 1451, 4117, 9137, 747, 1582, 1063, 16, 11352, 248, 7213, 324, 576, 282, 1427, 6934, 443, 4508, 3, 188, 17622, 1451, 3605, 9495, 343, 641, 27924, 274, 1789, 282, 513, 16, 11352, 248, 7213, 324, 374, 282, 5707, 3859, 1275, 3, 188, 7176, 580, 587, 368, 3223, 31977, 0, 779, 2705, 274, 1090, 2701, 327, 2508, 16, 188, 9334, 593, 14, 401, 366, 852, 1649, 272, 980, 282, 353, 248, 2298, 28982, 16, 188, 5213, 10986, 360, 3419, 772, 8030, 16, 188, 395, 310, 1218, 353, 687, 286, 687, 7162, 254, 1665, 27318, 1919, 16, 188, 67, 1612, 4715, 276, 254, 6234, 286, 254, 16527, 16, 0, 14183, 22336, 23827, 14, 7193, 5389, 496, 32650, 27144, 9724, 2807, 42011, 3, 188, 2678, 343, 248, 3561, 22787, 3587, 2497, 1491, 8085, 22760, 324, 248, 1656, 6333, 9540, 276, 254, 10014, 22336, 23827, 14, 7193, 5525, 28482, 16436, 8712, 32650, 706, 1676, 2625, 264, 16, 679, 286, 5166, 6582, 276, 1491, 8085, 35282, 16, 323, 437, 633, 1683, 27144, 9724, 328, 254, 416, 9185, 32650, 286, 2014, 769, 60, 33392, 666, 7905, 16, 8721, 16085, 6474, 32650, 2856, 10014, 22336, 23827, 14, 7193, 4738, 323, 13380, 4252, 26877, 5380, 53, 3, 188, 7731, 9981, 937, 46, 5319, 10014, 22336, 23827, 14, 7193, 6333, 9540, 32650, 5961, 3587, 2497, 6598, 348, 272, 5630, 282, 5732, 2057, 2497, 22760, 486, 16, 10014, 22336, 23827, 14, 7193, 39236, 476, 5166, 348, 1181, 348, 495, 7, 282, 719, 7, 276, 1491, 8085, 35282, 670, 960, 772, 2497, 16, 839, 3831, 39236, 276, 10014, 22336, 23827, 14, 7193, 4188, 274, 1491, 8085, 22760, 486, 3134, 16, 188, 14183, 22336, 23827, 14, 7193, 3206, 24882, 5389, 721, 12, 5243, 10014, 22336, 23827, 32650, 16032, 587, 669, 4615, 5285, 328 ]
[ 1, 494, 248, 248, 12745, 13957, 8143, 16, 2174, 13957, 3021, 3270, 494, 5058, 13957, 8143, 3270, 494, 324, 2174, 20055, 16, 0, 2432, 555, 643, 3509, 5786, 276, 254, 3310, 687, 3225, 3498, 668, 254, 45256, 274, 688, 274, 772, 24599, 286, 11089, 26972, 16, 188, 2721, 313, 4198, 294, 444, 34143, 68, 432, 254, 39393, 34612, 555, 34228, 8652, 407, 26390, 254, 3979, 286, 7535, 248, 3564, 9670, 2683, 276, 4903, 3526, 16, 188, 6235, 315, 14, 1315, 457, 85, 1041, 353, 2508, 327, 254, 3509, 9839, 5670, 274, 1427, 11795, 457, 85, 2974, 311, 2631, 743, 16, 188, 15069, 338, 2636, 254, 2504, 457, 85, 9839, 286, 11089, 7423, 687, 254, 1364, 338, 21, 18, 1090, 16, 188, 16365, 254, 944, 9817, 4659, 274, 254, 4080, 311, 327, 254, 5510, 457, 85, 11089, 2974, 369, 758, 624, 3360, 276, 254, 338, 27, 20, 18, 85, 14, 276, 254, 338, 27, 22, 18, 85, 1285, 3525, 3539, 3595, 14, 286, 869, 338, 27, 24, 19, 286, 338, 27, 25, 24, 683, 353, 555, 643, 3970, 16, 188, 686, 948, 14, 254, 2504, 457, 85, 11089, 2974, 555, 2602, 8010, 407, 272, 3278, 274, 470, 16, 25, 7, 4753, 1544, 338, 27, 25, 24, 14, 343, 3017, 24191, 338, 16, 19, 7, 4753, 869, 374, 18, 18, 19, 286, 374, 18, 18, 24, 16, 188, 23618, 15406, 387, 254, 11089, 2974, 10228, 5651, 254, 1110, 327, 688, 14, 532, 417, 512, 14, 24599, 15476, 403, 1129, 28145, 407, 624, 683, 254, 19166, 8219, 650, 1754, 16, 188, 3131, 338, 2636, 254, 9839, 22497, 343, 688, 274, 254, 5793, 2974, 11339, 869, 254, 374, 18, 18, 24, 286, 374, 18, 19, 21, 22610, 4970, 14, 348, 963, 348, 843, 1181, 615, 7423, 452, 10821, 3811, 1544, 615, 14069, 13226, 16, 188, 3912, 274, 254, 1794, 16411, 2362, 1125, 274, 836, 15476, 311, 254, 3252, 274, 248, 1956, 2135, 10875, 16, 188, 21511, 353, 321, 9484, 609, 314, 30883, 264, 12018, 14, 34922, 255, 1896, 14, 8301, 484, 4451, 581, 16853, 5009, 314, 25502, 22013, 329, 3980, 14, 5518, 569, 12501, 413, 14, 36268, 581, 254, 4524, 314, 57, 2213, 454, 87, 14, 19363, 3836, 581, 7873, 1540, 314, 54, 2213, 74, 2189, 581, 390, 13597, 5808, 6319, 314, 23231, 23328, 14, 39917, 518, 2527, 581, 254, 3505, 1865, 324, 944, 274, 836, 3748, 457, 85, 6071, 555, 22313, 390, 311, 641, 3248, 1225, 16, 188, 2148, 2489, 14, 254, 4462, 324, 615, 22753, 403, 1637, 4607, 286, 403, 2746, 282, 8934, 328, 1181, 624, 683, 14486, 9898, 286, 254, 16456, 282, 3936, 9839, 22497, 16, 1180, 1610, 14, 603, 360, 563, 888, 282, 338, 27, 21, 24, 14, 27850, 5333, 3605, 286, 17359, 267, 3980, 497, 2674, 254, 1057, 1921, 16, 188, 1931, 27850, 5333, 3605, 555, 2600, 4791, 963, 348, 272, 4584, 286, 3163, 14311, 14, 1205, 695, 9884, 14245, 555, 18898, 282, 3073, 12638, 687, 254, 3248, 15, 3818, 324, 9094, 390, 6000, 1091, 4780, 1899, 282, 254, 3652, 6177, 274, 14659, 348, 248, 12762, 1308, 2352, 343, 695, 18435, 1183, 2318, 1364, 5174, 16, 188, 510, 11494, 668, 2075, 9839, 22497, 1323, 12997, 276, 2349, 274, 2974, 286, 4903, 3017, 403, 2488, 14, 532, 580, 948, 327, 311, 2508, 311, 248, 769, 3839, 18381, 7324, 390, 2966, 457, 85, 3979, 1129, 3303, 407, 4475, 6902, 276, 254, 2391, 16, 188, 2148, 1610, 14, 626, 650, 1582, 452, 643, 248, 3748, 274, 665, 8230, 387, 15113, 22013, 329, 3980, 1269, 254, 8189, 8856, 2449, 1863, 254, 3447, 338, 27, 27, 18, 85, 254, 3748, 457, 85, 2950, 17480, 286, 23478, 2893, 16, 496, 1577, 14, 436, 4351, 311, 11231, 282, 452, 643, 4095, 1269, 254, 3748, 457, 85, 3132, 46171, 278, 457, 293, 251, 348, 248, 17696, 3408, 16, 188, 1516, 1802, 18381, 2034, 353, 457, 85, 26712, 492, 613, 282, 1754, 327, 14, 811, 974, 626, 311, 641, 3248, 248, 2196, 4903, 1865, 324, 15113, 22013, 329, 3980, 282, 2159, 14, 360, 933, 3256, 9238, 353, 16, 2028, 16130, 254, 4903, 16562, 274, 15476, 14, 360, 403, 8903, 4864, 668, 942, 457, 85, 4701, 286, 44281, 16, 188, 1843, 327, 14, 4780, 14, 311, 254, 12209, 1110, 327, 2234, 444, 34143, 68, 311, 2732, 282, 1041, 16, 4801, 603, 3017, 276, 24017, 590, 35884, 4313, 8042, 276, 688, 274, 836, 3551, 14, 248, 3748, 343, 248, 37927, 2974, 555, 282, 1323, 327, 1181, 1755, 328, 248, 590, 35884, 3596, 282, 6384, 695, 4475, 2209, 16, 188, 9984, 5344, 2974, 476, 4214, 1394, 282, 248, 20535, 21689, 274, 37927, 4681, 14, 2863, 274, 11216, 1402, 286, 2072, 45909, 14, 286, 3652, 3134, 14, 1863, 512, 327, 457, 85, 1628, 311, 248, 2560, 2187, 274, 48215, 15, 484, 16527, 14, 248, 3015, 7228, 14, 248, 5935, 14, 286, 4895, 248, 13021, 16, 188, 510, 2546, 274, 3686, 11068, 407, 942, 276, 35484, 386, 390, 37927, 15476, 11177, 8950, 758, 4183, 16, 188, 510, 2251, 274, 272, 9839, 2104, 311, 4131, 328, 272, 732, 4768, 4868, 274, 695, 32412, 14, 3405, 11019, 14, 3506, 5146, 390, 642, 5851, 2520, 14, 8189, 8856, 14, 286, 6255, 6288, 324, 2784, 942, 16, 188, 33314, 14, 254, 2142, 476, 513, 1612, 668, 665, 274, 836, 2533, 3584, 3405, 11019, 16, 188, 9928, 274, 1427, 11795, 457, 85, 2318, 26927, 497, 3303, 407, 615, 44146, 348, 17098, 14, 343, 364, 275, 1595, 286, 279, 1832, 273, 8946, 688, 274, 254, 17830, 11019, 1649, 276, 1619, 16, 188, 510, 4987, 274, 7873, 1540, 276, 254, 338, 27, 394, 5174, 5325, 597, 4472, 4708, 282, 642, 3551, 14, 17188, 743, 26927, 282, 1709, 16, 1223, 1002, 1012, 14, 254, 2142, 457, 85, 3843, 273, 7935, 276, 254, 22500, 1448, 4467, 16046, 1089, 555, 643, 248, 1500, 2715, 276, 29661, 254, 7728, 5042, 274, 4903, 2348, 6248, 4375, 432, 41233, 4264, 9266, 16, 188, 1931, 3405, 11019, 476, 756, 513, 593, 1181, 16, 188, 2432, 457, 85, 641, 1110, 3532, 248, 1694, 15, 33386, 5529, 1089, 432, 309, 4271, 27868, 282, 34922, 255, 1896, 14, 390, 432, 9266, 282, 15113, 22013, 329, 3980, 1091, 353, 650, 321, 248, 1062, 19402, 5598 ]
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
[ 1, 13274, 276, 254, 18569, 457, 328, 254, 3467, 318, 820, 22540, 387, 254, 36441, 19099, 16, 188, 5078, 265, 276, 374, 18, 18, 22, 14, 28553, 32069, 771, 9038, 311, 1683, 282, 248, 3015, 274, 2745, 1604, 432, 2362, 254, 1499, 16, 2640, 687, 495, 18, 2672, 14, 436, 23738, 15, 3066, 39078, 555, 2411, 29034, 324, 695, 4311, 11463, 274, 29764, 14, 18806, 286, 1499, 3327, 16, 6730, 3327, 348, 248, 1026, 282, 2706, 286, 4540, 14, 23128, 12375, 276, 4703, 695, 38113, 1036, 3808, 28, 2714, 12372, 1171, 10481, 276, 3997, 14960, 4186, 25989, 44473, 14, 2966, 254, 29764, 1361, 7583, 695, 9205, 348, 10726, 457, 85, 4144, 732, 36032, 39078, 16, 9720, 561, 624, 668, 729, 1045, 16, 188, 38, 301, 16090, 282, 529, 1906, 14, 354, 11506, 286, 9946, 668, 254, 6598, 274, 1015, 10762, 328, 3798, 14, 286, 596, 2247, 254, 10711, 1213, 3108, 2714, 510, 12814, 13274, 276, 254, 18569, 457, 348, 963, 348, 254, 3808, 3108, 353, 16, 1547, 669, 2247, 28553, 32069, 771, 9038, 457, 85, 3808, 274, 9302, 286, 254, 3177, 274, 3015, 1111, 395, 1963, 1111, 3414, 28553, 32069, 771, 9038, 3290, 324, 942, 274, 512, 10762, 286, 3746, 995, 939, 254, 2875, 10725, 274, 4358, 16, 188, 4412, 436, 14, 360, 3957, 254, 2949, 274, 2714, 29303, 13274, 276, 254, 18569, 15787, 533, 3672, 688, 36319, 13084, 732, 1021, 398, 265, 343, 5230, 15672, 16, 22946, 929, 432, 1491, 2705, 286, 5514, 343, 9323, 14, 2714, 510, 12814, 13274, 276, 254, 18569, 457, 3809, 248, 13034, 997, 387, 15729, 9726, 286, 748, 353, 2034, 324, 10726, 16, 2807, 4782, 248, 4179, 282, 6109, 274, 9302, 368, 403, 12129, 282, 4736, 2154, 843, 360, 476, 1916, 272, 24658, 5779, 324, 11283, 286, 34472, 7681, 19038, 16, 0, 1516, 311, 254, 1250, 5527, 274, 254, 1722, 274, 4087, 286, 310, 715, 11811, 19859, 959, 387, 254, 13921, 1089, 38030, 1228, 25805, 5156, 3, 188, 40140, 4344, 26245, 16, 310, 1623, 747, 254, 12068, 286, 6331, 276, 254, 3925, 16, 380, 13362, 7156, 311, 3136, 4576, 1480, 16, 188, 1130, 311, 248, 1062, 2875, 3021, 16, 310, 2541, 561, 763, 2718, 21795, 29, 338, 17, 20, 18093, 286, 338, 17, 26, 18093, 4474, 14, 286, 40508, 729, 328, 282, 254, 3021, 2530, 16, 2552, 310, 41693, 248, 20815, 432, 657, 1277, 75, 457, 5519, 43706, 85, 769, 6128, 46730, 666, 867, 1241, 2008, 14, 35367, 286, 7457, 343, 21750, 20502, 16, 380, 9127, 20815, 311, 432, 22174, 14699, 16, 188, 12963, 2056, 282, 4010, 254, 13921, 1089, 38030, 1228, 25805, 5156, 286, 915, 748, 254, 2150, 2214, 286, 618, 7512, 11811, 16565, 411, 4215, 452, 3446, 16, 188, 2515, 3837, 3, 10264, 327, 2875, 21277, 1051, 254, 3925, 16, 188, 22608, 436, 33424, 3021, 14, 1247, 2150, 3, 188, 2440, 311, 593, 4344, 16, 626, 403, 593, 1125, 21924, 282, 254, 7315, 532, 417, 403, 473, 12793, 43, 26877, 16, 310, 2314, 34821, 561, 254, 7705, 16, 310, 573, 248, 6833, 274, 790, 2430, 436, 343, 368, 3, 0, 10186, 248, 3225, 4429, 343, 16046, 14, 380, 38607, 1745, 25037, 22117, 28706, 555, 4799, 1612, 15, 4165, 4932, 668, 254, 2860, 869, 380, 38607, 2672, 14, 2436, 34876, 252, 286, 5018, 8543, 435, 2125, 16, 188, 1590, 16756, 749, 327, 328, 248, 1162, 274, 15100, 596, 457, 70, 321, 276, 254, 4617, 274, 272, 4020, 286, 2436, 650, 811, 3660, 520, 1612, 649, 9792, 17049, 1051, 254, 980, 274, 520, 11172, 14, 997, 687, 254, 1708, 286, 1309, 14, 2714, 1130, 457, 85, 756, 479, 457, 286, 835, 563, 888, 282, 25630, 286, 47197, 286, 1810, 10463, 16, 188, 6957, 1045, 282, 2520, 274, 254, 2835, 16, 188, 1590, 2432, 369, 580, 6932, 387, 254, 4747, 274, 18131, 283, 30852, 276, 338, 27, 24, 23, 670, 345, 2602, 12319, 977, 1051, 939, 6010, 282, 254, 6248, 8624, 276, 39068, 16, 188, 1304, 573, 248, 3117, 279, 25330, 2595, 286, 573, 520, 4561, 1989, 265, 12997, 16, 496, 948, 14, 345, 369, 3416, 1919, 432, 248, 4959, 5293, 974, 345, 1848, 457, 86, 997, 4344, 2151, 3, 0, 51, 19, 16, 34464, 1081, 248, 35054, 286, 4466, 28752, 282, 5406, 276, 436, 370, 19, 19, 18, 271, 1523, 4236, 324, 254, 1689, 719, 2524, 16, 2253, 2110, 282, 12840, 12362, 14, 13115, 14, 11947, 286, 512, 4479, 286, 20804, 1460, 324, 436, 28752, 14, 1648, 254, 5077, 2347, 282, 3316, 254, 28752, 387, 254, 980, 274, 254, 671, 16427, 16, 188, 51, 20, 16, 399, 8328, 254, 11057, 286, 23041, 274, 254, 35054, 286, 4466, 21207, 3280, 7916, 276, 254, 1788, 1897, 16, 2253, 2056, 282, 2247, 254, 1726, 7589, 274, 254, 763, 21207, 3280, 7916, 1648, 14, 532, 417, 3587, 282, 14, 254, 5189, 5925, 16, 188, 686, 642, 2906, 14, 1862, 254, 8778, 2133, 324, 1004, 4479, 2413, 274, 254, 2365, 13259, 2210, 16, 188, 67, 16, 1691, 311, 272, 24966, 434, 712, 991, 282, 354, 4802, 414, 33, 271, 16, 1691, 311, 272, 24966, 434, 712, 991, 282, 9120, 33, 188, 2275, 1181, 624, 587, 616, 4507, 452, 282, 1674, 1004, 802, 324, 254, 1689, 2537, 1090, 282, 452, 254, 7852, 2347, 324, 25474, 434, 4584, 33, 188, 9928, 8660, 11586, 6000, 282, 7274, 2485, 5574, 16, 1334, 476, 248, 2485, 8367, 5574, 12498, 33, 188, 16818, 368, 6094, 254, 5285, 274, 380, 14586, 1834, 3991, 6313, 282, 6259, 2210, 2417, 348, 9730, 5285, 33, 18637, 5285, 33, 42775, 42788, 33, 188, 2148, 1004, 274, 836, 763, 3781, 9282, 14, 10077, 6521, 11705, 282, 1868, 254, 1527, 16, 314, 67, 11, 380, 32228, 274, 254, 13037, 16, 188, 510, 1040, 274, 272, 1564, 2210, 1767, 328, 254, 2703, 1294, 274, 248, 18065, 37916, 434, 16893, 311, 248, 1142, 274, 1241, 1789, 16, 0, 4884, 14, 324, 1610, 14, 2556, 22392, 1145, 356, 16, 314, 20, 18, 18, 20, 11, 390, 378, 4280, 14, 28185, 286, 20301, 1048, 314, 20, 18, 18, 20, 481, 188, 4884, 29530, 286, 3574, 81, 275, 314, 20, 18, 18, 23, 11, 390, 1729, 268, 5111, 277, 286, 37627, 10353, 12896, 314, 20, 18, 18, 27, 481, 188, 3014 ]
[ 1, 11, 647, 10207, 426, 3005, 327, 1041, 597, 254, 11247, 387, 254, 1708, 274, 254, 1819, 647, 2768, 268, 1083, 426, 3005, 4832, 432, 830, 254, 931, 7435, 477, 11916, 14973, 324, 883, 14, 299, 276, 47859, 10, 8509, 2192, 647, 1056, 426, 299, 16, 8909, 10, 7355, 250, 6720, 18, 63, 647, 1800, 1286, 353, 476, 625, 321, 3416, 713, 248, 8035, 311, 311, 1311, 248, 628, 274, 254, 10207, 647, 1574, 28, 926, 8035, 10, 2484, 11, 926, 1076, 883, 14, 3005, 61, 18, 28, 75, 1077, 3005, 61, 75, 33144, 647, 3584, 28, 926, 3906, 477, 1076, 428, 19, 14, 3005, 14, 7954, 188, 188, 1510, 5228, 9612, 3662, 33051, 10, 5263, 21114, 14, 3340, 21114, 426, 684, 9007, 16, 90, 44729, 1358, 10207, 7357, 426, 8037, 14, 1836, 426, 338, 18, 16, 18, 2192, 477, 11916, 477, 826, 1308, 3809, 272, 954, 90, 44729, 1819, 14, 25690, 665, 39056, 3005, 274, 931, 390, 931, 3005, 327, 403, 417, 10210, 1034, 16, 210, 1465, 3175, 28, 647, 3175, 21114, 428, 314, 2689, 11, 1390, 274, 3175, 1819, 647, 3340, 21114, 428, 314, 21021, 2787, 11, 1390, 274, 3340, 1819, 14, 4145, 311, 3340, 16, 90, 44729, 14, 368, 476, 2023, 254, 1057, 1390, 348, 254, 3175, 1819, 14, 532, 353, 587, 321, 687, 3427, 16, 12938, 3340, 21114, 428, 314, 21021, 14, 4461, 11, 1390, 274, 3340, 3039, 14, 587, 561, 3340, 248, 1819, 343, 254, 1057, 1390, 348, 3175, 603, 417, 2449, 647, 10207, 7357, 428, 314, 21021, 14, 539, 11, 1162, 274, 3005, 387, 254, 4917, 274, 254, 1819, 10957, 274, 11247, 14, 603, 8037, 436, 587, 321, 1102, 14, 603, 368, 865, 626, 311, 641, 10207, 8967, 10207, 426, 470, 16, 647, 8057, 428, 314, 21021, 14, 8035, 11, 254, 2476, 274, 931, 327, 476, 321, 5023, 1063, 248, 9477, 311, 11154, 16, 12938, 11423, 428, 314, 21021, 14, 8035, 11, 254, 2476, 274, 931, 327, 476, 321, 5023, 286, 1311, 1382, 254, 2024, 16, 1286, 624, 931, 311, 1382, 272, 6343, 311, 5279, 16, 210, 1465, 3340, 28, 647, 641, 6374, 14, 532, 10238, 272, 3340, 1819, 343, 512, 274, 254, 1303, 15, 5366, 3662, 931, 432, 254, 3175, 1819, 16, 7915, 11916, 1465, 1800, 1286, 3175, 1819, 417, 1102, 6975, 272, 6343, 477, 603, 417, 7481, 16, 3839, 16, 2946, 586, 10, 5263, 21114, 2192, 647, 1819, 4608, 426, 19000, 1551, 8748, 8267, 417, 1102, 1445, 11, 647, 6975, 1819, 4608, 14973, 1800, 6529, 276, 1819, 282, 1074, 10207, 286, 2884, 274, 931, 477, 3175, 4365, 426, 1493, 10, 5263, 21114, 3984, 84, 3291, 477, 3005, 426, 3175, 4365, 16, 1073, 8509, 1067, 477, 3175, 4365, 16, 10212, 1067, 1465, 1800, 19789, 10207, 3005, 324, 35553, 16, 1506, 3933, 9867, 282, 785, 477, 1800, 1286, 417, 2449, 1074, 353, 28, 477, 603, 10207, 7357, 2224, 8037, 28, 647, 10207, 7357, 14, 10207, 14, 2768, 268, 1083, 426, 1074, 3129, 8034, 10, 8509, 11, 647, 1800, 11430, 1581, 274, 3005, 276, 10207, 713, 248, 1956, 2787, 647, 10207, 426, 684, 5813, 13575, 10, 9879, 11, 1465, 1800, 1286, 10207, 7357, 369, 2449, 286, 353, 434, 8522, 683, 4907, 751, 10207, 28, 477, 27985, 10207, 7357, 2170, 470, 28, 647, 10207, 426, 3005, 61, 18, 28, 9879, 7357, 63, 647, 1800, 10068, 10207, 3005, 713, 2787, 647, 10207, 426, 684, 5813, 13575, 10, 9879, 11, 575, 477, 1952, 28, 1800, 10207, 7357, 2224, 470, 28, 647, 10207, 426, 14661, 1800, 826, 311, 4145, 324, 35553, 16, 46017, 293, 632, 1465, 1800, 1180, 3899, 10207, 6206, 360, 513, 417, 961, 254, 1364, 1839, 282, 2706, 743, 1360, 477, 603, 10207, 16155, 19, 63, 2224, 17600, 80, 5141, 647, 10207, 426, 10207, 17775, 15, 19, 63, 1465, 1800, 2884, 274, 3132, 931, 867, 28, 477, 931, 10547, 426, 8249, 10, 8509, 11, 428, 10207, 7357, 1465, 1800, 7683, 728, 3933, 9867, 282, 751, 931, 477, 1800, 16574, 65, 9879, 1591, 2736, 3005, 387, 254, 4917, 274, 254, 1819, 477, 1800, 11751, 65, 21832, 2034, 327, 603, 248, 1360, 311, 1102, 343, 254, 3320, 1162, 274, 11705, 835, 353, 587, 321, 12489, 286, 248, 9477, 587, 321, 11154, 477, 931, 426, 15313, 16, 1506, 3933, 9867, 10, 5263, 21114, 14, 16574, 65, 9879, 426, 10207, 7357, 14, 11751, 65, 21832, 426, 16247, 11, 1713, 14973, 1800, 5162, 561, 843, 1181, 931, 369, 5023, 28, 477, 1574, 28, 647, 248, 426, 8249, 10, 2137, 61, 18, 3185, 647, 720, 10547, 426, 931, 10547, 428, 8249, 10, 2137, 11, 477, 3584, 28, 647, 720, 10547, 426, 931, 10547, 428, 338, 253, 647, 931, 426, 543, 2137, 63, 477, 11423, 426, 539, 10, 23995, 475, 931, 10547, 17, 19, 18, 18, 16, 18, 11, 477, 1800, 3719, 11423, 1465, 1800, 17790, 843, 1125, 3005, 497, 5023, 390, 477, 1800, 41384, 272, 2160, 603, 624, 683, 684, 23995, 9, 7, 274, 931, 5023, 477, 603, 720, 10547, 2224, 470, 28, 647, 3270, 347, 2231, 17213, 3005, 1102, 14, 641, 931, 369, 5023, 432, 2384, 85, 4, 2384, 10, 5263, 21114, 11, 477, 27985, 720, 10547, 9855, 11423, 28, 647, 4975, 8271, 18693, 4608, 426, 19000, 21539, 75, 39056, 3005, 274, 2384, 75, 1102, 14, 327, 311, 624, 683, 42962, 19, 72, 2476, 16, 6064, 18693, 4104, 14, 8943, 3175, 1819, 210, 2384, 85, 4, 2384, 314, 70, 339, 10547, 14, 931, 10547, 14, 1836, 14, 3175, 21114, 1210, 647, 6975, 4975, 8271, 18693, 4608, 477, 1952, 28, 1800, 30194, 5023, 14, 532, 1637, 683, 9477, 2615, 647, 603, 417, 7481, 16, 3839, 16, 18830, 2012, 90, 44729, 15, 68, 518, 45098, 926, 7481, 16, 79, 6658, 18824, 2012, 90, 44729, 15, 68, 518, 3291, 647, 3378, 20, 10, 5263, 21114, 3984, 11075, 90, 44729, 15, 68, 518, 17, 29550, 5263, 21114, 11, 647, 3270, 16795, 75, 17213, 3005, 274, 2384, 75, 1102, 286, 5023, 432, 2384, 85, 4, 2384, 314, 70, 339, 10547, 14, 931, 10547, 14, 3175, 21114, 11, 14843, 477, 1800, 7683, 35553, 5580, 293, 632, 282, 3510, 931, 314, 3014, 10207, 11, 282, 254, 3340, 1819, 477, 1800, 20451, 37846, 254, 5811, 274, 254, 8035, 14, 324, 1012, 353, 311, 254 ]
[ 1, 570, 587, 10888, 343, 5009, 13085, 3335, 348, 963, 16, 188, 2976, 836, 2533, 774, 2730, 248, 1401, 457, 85, 1827, 15, 39022, 1899, 282, 2863, 274, 6973, 16, 1547, 774, 2780, 596, 403, 417, 348, 6873, 348, 615, 21080, 16, 2003, 457, 85, 38519, 14, 974, 276, 4445, 414, 14, 1125, 5588, 343, 7706, 1555, 570, 403, 6450, 286, 35243, 1111, 13710, 4569, 2967, 555, 2631, 282, 513, 343, 9015, 390, 28122, 16, 188, 2275, 2532, 310, 11903, 2666, 8126, 5834, 265, 33, 188, 13059, 286, 2628, 4584, 10670, 403, 14258, 282, 2941, 3148, 596, 476, 668, 7706, 1555, 570, 16, 8486, 597, 324, 5537, 2363, 13151, 327, 2247, 1885, 15, 3066, 4221, 37882, 282, 1336, 2086, 663, 452, 7706, 1555, 570, 14, 819, 348, 254, 2141, 1275, 15, 41, 3741, 3836, 1308, 16, 380, 28451, 5833, 20113, 1201, 315, 5961, 248, 3064, 274, 5537, 2363, 8856, 324, 10670, 14, 1081, 276, 1408, 348, 963, 348, 3783, 16, 330, 9475, 27477, 276, 3520, 668, 7706, 1555, 570, 476, 321, 248, 7866, 286, 248, 2099, 1641, 255, 324, 248, 1401, 663, 8950, 593, 1062, 1015, 16, 188, 2433, 32344, 16228, 34383, 1860, 331, 1475, 399, 654, 1555, 570, 15208, 33, 188, 27745, 2636, 327, 2318, 7923, 286, 7076, 311, 254, 2165, 282, 8838, 248, 1401, 343, 7706, 1555, 570, 2941, 282, 1218, 16, 2341, 407, 1350, 14, 5168, 403, 1129, 4667, 23170, 6607, 324, 2318, 9028, 274, 2086, 1111, 16988, 7706, 1555, 570, 476, 321, 3516, 348, 2318, 348, 2289, 607, 8094, 16, 5431, 5168, 1305, 9028, 2086, 276, 38682, 38571, 390, 338, 297, 9392, 14, 286, 835, 15175, 729, 276, 272, 6661, 14, 1518, 262, 39967, 4221, 2024, 324, 19843, 10774, 11570, 282, 1336, 1093, 343, 7706, 1555, 570, 16, 1664, 311, 669, 248, 743, 43511, 399, 654, 1555, 570, 24815, 317, 276, 254, 529, 16, 53, 16, 5594, 327, 1125, 5703, 3409, 587, 321, 20185, 276, 254, 2734, 2764, 16, 188, 9334, 343, 819, 4221, 5495, 276, 1619, 14, 353, 311, 1726, 282, 4316, 327, 7706, 1555, 570, 311, 248, 35161, 4569, 2967, 16, 731, 311, 417, 561, 29076, 286, 626, 311, 641, 769, 69, 459, 1397, 1270, 468, 11881, 286, 43754, 403, 1062, 1726, 16, 188, 41734, 1201, 315, 311, 248, 3746, 28451, 327, 7526, 3371, 276, 38682, 38571, 939, 15682, 2079, 663, 452, 3270, 25651, 747, 7706, 1555, 570, 16, 380, 5833, 5961, 1903, 2796, 43434, 14, 4244, 250, 1020, 286, 9475, 1305, 16, 9720, 561, 624, 407, 13594, 8061, 16, 41734, 2345, 315, 16, 2000, 390, 1052, 848, 18, 18, 15, 20, 20, 19, 15, 22, 25, 27, 20, 16, 0, 6644, 23708, 2070, 14, 254, 9670, 18089, 6577, 327, 5441, 282, 1916, 254, 338, 25, 15, 24597, 36436, 15, 3852, 904, 7873, 1360, 14, 13665, 9359, 324, 370, 19, 21, 26, 2945, 276, 1350, 7852, 436, 802, 670, 254, 1350, 5816, 274, 25697, 6825, 254, 338, 18, 15, 2823, 2341, 25697, 41458, 8028, 16, 188, 1304, 749, 1922, 6166, 286, 44235, 6166, 452, 4168, 1837, 282, 1263, 254, 1665, 15, 36579, 2133, 16, 20843, 286, 36436, 5656, 282, 2014, 615, 3768, 343, 248, 9676, 2630, 15, 1137, 6053, 2802, 20353, 726, 276, 1081, 21154, 14, 345, 749, 14, 286, 596, 15599, 328, 1350, 7852, 16, 188, 26706, 17170, 14, 3497, 23708, 2070, 457, 85, 2025, 7014, 14, 749, 254, 36436, 15, 3852, 904, 1360, 7846, 695, 15347, 670, 353, 28149, 343, 17155, 6319, 324, 8141, 758, 248, 743, 2024, 3591, 407, 8558, 6851, 324, 4610, 12762, 8864, 23210, 16, 188, 27750, 398, 276, 20843, 286, 36436, 21154, 452, 9107, 512, 2049, 282, 751, 11159, 2630, 254, 5189, 2042, 432, 254, 4260, 2142, 286, 580, 15, 34118, 432, 254, 1350, 14, 343, 254, 6242, 3435, 432, 1922, 6053, 10203, 16, 826, 2065, 14, 254, 7468, 38366, 13132, 3419, 3497, 23708, 2070, 370, 19, 16, 25, 2945, 282, 1305, 5661, 324, 18089, 15, 20455, 2363, 1444, 254, 1665, 15, 36579, 10704, 16, 188, 57, 639, 3801, 933, 417, 321, 5709, 407, 254, 743, 1665, 15, 36579, 2615, 16, 380, 18089, 2035, 758, 7966, 276, 254, 5189, 9382, 3672, 272, 4360, 324, 7873, 1091, 532, 353, 457, 85, 417, 254, 769, 3139, 666, 2169, 14, 533, 6438, 328, 13597, 16, 33344, 311, 7103, 248, 18089, 2035, 327, 1503, 2408, 26994, 18248, 1869, 27632, 2623, 4934, 1091, 7873, 8235, 19753, 407, 1999, 27632, 14505, 16, 188, 510, 743, 7363, 669, 3809, 4248, 387, 374, 27, 1350, 4347, 274, 25697, 6000, 14, 3569, 7180, 1091, 6930, 407, 615, 1999, 1844, 3778, 1091, 403, 3516, 324, 19807, 16, 188, 1130, 457, 85, 248, 1581, 269, 1080, 1051, 432, 272, 4182, 8677, 7363, 10149, 282, 751, 8095, 274, 607, 24, 2107, 44235, 6000, 16, 380, 3652, 4212, 1581, 1311, 3672, 17898, 18853, 286, 763, 8251, 14654, 343, 31333, 1788, 370, 19, 19, 23, 14, 18, 18, 18, 28, 1569, 46122, 3904, 7195, 14, 663, 17663, 266, 17155, 2150, 14, 2133, 2363, 286, 642, 3134, 348, 44235, 457, 85, 637, 11365, 6251, 29, 286, 25474, 20798, 38700, 14, 663, 311, 5346, 324, 17155, 9115, 286, 642, 2030, 373, 348, 44235, 457, 85, 14807, 4184, 16064, 16, 188, 18063, 12582, 796, 6851, 452, 749, 254, 2545, 11845, 403, 2815, 282, 11958, 15, 484, 12337, 285, 324, 20204, 39295, 1091, 282, 1315, 2958, 27513, 1354, 687, 11065, 286, 642, 7180, 1012, 2152, 407, 44235, 6000, 16, 1268, 641, 22197, 452, 643, 5740, 324, 254, 1748, 4314, 6596, 324, 19807, 16, 188, 6018, 15772, 9274, 12746, 12026, 27543, 12714, 282, 4245, 328, 254, 12762, 7363, 16, 3904, 7195, 286, 20798, 38700, 852, 417, 3669, 282, 9501, 324, 4245, 16, 188, 44115, 2723, 276, 254, 7363, 14, 35835, 2232, 5211, 2509, 6704, 276, 642, 19454, 324, 19807, 16, 37329, 6000, 403, 6914, 324, 3577, 282, 254, 9580, 295, 32836, 4347, 274, 14272, 286, 29965, 18686, 14, 830, 596, 2417, 1851, 615, 7180, 295, 38126, 390, 17034, 16, 188, 32977, 1601, 254, 33824, 3577, 274, 370, 20, 19, 24, 2945, 432, 254, 21130, 10696, 282, 254, 4078, 10696, 16, 826, 311, 3556, 2802, 2501, 14, 3713, 5864, 324, 12762, 3095, 16, 380, 1767, 2034, 327, 44235, 587, 452, 624, 2501 ]
[ 1, 427, 9519, 1661, 16, 188, 20, 20, 28, 22, 19, 20044, 6470, 14864, 2909, 26180, 6721, 16, 188, 20, 20, 28, 22, 26, 3977, 27309, 7806, 9, 53, 11179, 2554, 5766, 8500, 399, 10854, 928, 188, 20, 22, 28, 21, 22, 6474, 8474, 4738, 6474, 10340, 16, 188, 20, 22, 28, 22, 18, 9930, 38934, 53, 1924, 5766, 19159, 9032, 47540, 16, 188, 20, 22, 28, 23, 25, 347, 15417, 37, 27619, 2554, 21360, 500, 36509, 14138, 16177, 2339, 53, 928, 188, 20, 23, 28, 18, 25, 2909, 19434, 17141, 53, 3368, 2909, 21788, 16, 188, 20, 23, 28, 19, 18, 3368, 2909, 19434, 17141, 53, 3368, 2909, 21788, 16, 188, 20, 23, 28, 19, 25, 4738, 330, 418, 24586, 1520, 10340, 1505, 2554, 16, 188, 20, 23, 28, 22, 21, 3368, 10325, 6986, 1037, 1405, 46838, 7743, 1384, 16, 188, 20, 24, 28, 19, 26, 330, 411, 17141, 1661, 7743, 2222, 1254, 22790, 16, 188, 20, 24, 28, 22, 21, 21360, 41661, 50, 4764, 9846, 24499, 16, 188, 20, 24, 28, 23, 25, 7946, 347, 9452, 3789, 1122, 1384, 6075, 59, 15889, 449, 188, 20, 25, 28, 22, 24, 20617, 44349, 2909, 18800, 16, 0, 2433, 626, 18335, 1269, 3335, 33, 31117, 327, 476, 321, 7002, 2362, 10762, 407, 3655, 14, 9892, 274, 615, 7716, 13636, 33, 1395, 1038, 457, 86, 872, 282, 4149, 282, 1427, 2728, 3124, 390, 4549, 282, 1074, 561, 16, 188, 2300, 3696, 16, 374, 27, 14, 248, 4311, 5150, 18335, 3170, 1091, 769, 47219, 14908, 666, 10835, 510, 36513, 6419, 27472, 407, 254, 22051, 267, 18335, 2485, 3779, 19692, 1106, 6870, 383, 376, 1091, 3144, 282, 7184, 9939, 457, 85, 13416, 16, 188, 510, 8820, 2949, 311, 628, 274, 32095, 31308, 457, 85, 19530, 7760, 338, 25, 4726, 6156, 14699, 706, 16678, 14550, 16, 3996, 769, 47219, 14908, 666, 311, 328, 254, 3798, 324, 580, 1362, 756, 14, 254, 2485, 587, 3351, 276, 36221, 324, 1241, 3498, 282, 2507, 28515, 343, 7184, 9939, 3371, 348, 963, 348, 3371, 387, 254, 13656, 262, 29664, 1427, 679, 398, 4580, 16, 188, 510, 913, 14, 533, 587, 321, 254, 2485, 457, 85, 801, 2949, 276, 254, 1928, 2016, 14, 23972, 10727, 14, 3327, 14, 18335, 286, 5150, 1416, 14, 960, 1116, 12360, 4605, 327, 2706, 248, 13753, 37394, 14145, 16, 380, 40021, 6457, 25050, 14, 286, 254, 2949, 14, 533, 2701, 889, 274, 19948, 1476, 14, 40824, 273, 5445, 286, 254, 16437, 274, 4960, 14, 311, 5864, 282, 321, 7361, 12140, 2362, 10762, 16, 188, 36, 363, 2139, 3297, 2367, 328, 9487, 769, 47219, 14908, 666, 282, 7184, 9939, 4182, 436, 802, 14, 841, 701, 19057, 282, 22051, 348, 248, 19099, 20858, 5734, 529, 16, 53, 16, 23776, 387, 254, 36979, 248, 6753, 15913, 14, 254, 6081, 5060, 9339, 14235, 15913, 276, 254, 1499, 16, 2640, 254, 20870, 17458, 274, 769, 47219, 14908, 1756, 3499, 322, 569, 24471, 250, 286, 1201, 1984, 81, 4771, 2267, 14, 39815, 2139, 9107, 254, 3779, 19692, 1106, 6870, 383, 376, 2949, 286, 4044, 4457, 16, 188, 1934, 11073, 254, 1922, 3015, 276, 254, 2949, 14, 39815, 2139, 555, 47597, 343, 26996, 8784, 5461, 3867, 286, 11677, 67, 12705, 336, 14, 248, 32095, 31308, 5833, 327, 2893, 282, 8367, 12408, 15, 7671, 14235, 286, 4326, 16, 188, 510, 2949, 286, 4044, 4457, 403, 4376, 407, 254, 12405, 457, 85, 19099, 6625, 274, 3840, 14, 254, 7184, 9939, 7258, 274, 254, 8980, 493, 14, 254, 6640, 274, 17131, 286, 3430, 14291, 14699, 14, 254, 4580, 274, 19099, 14, 254, 6640, 274, 14699, 286, 13050, 286, 254, 1922, 3015, 16, 188, 54, 25323, 403, 370, 26, 324, 7544, 286, 370, 22, 324, 2086, 338, 20, 286, 758, 286, 403, 2066, 3783, 939, 11516, 325, 22540, 14, 390, 407, 6607, 495, 21, 24, 15, 21, 21, 22, 15, 22, 21, 27, 20, 390, 495, 21, 24, 15, 20, 25, 20, 15, 18, 19, 24, 18, 16, 9175, 561, 248, 3379, 24230, 274, 254, 2949, 1045, 16, 0, 7658, 5243, 9763, 418, 3988, 26340, 670, 368, 872, 3184, 24008, 26340, 3134, 276, 13996, 351, 14293, 14, 25687, 16, 1583, 2563, 843, 963, 368, 10077, 14, 387, 2008, 368, 811, 872, 248, 24008, 26340, 14, 286, 343, 772, 4602, 274, 29331, 9804, 6134, 407, 14, 368, 476, 10443, 328, 5243, 9763, 418, 3988, 26340, 282, 751, 254, 2545, 2152, 8876, 14, 286, 387, 248, 2210, 368, 476, 7642, 16, 496, 13996, 351, 14293, 14, 25687, 14, 603, 368, 452, 272, 12100, 872, 324, 248, 24008, 26340, 14, 1052, 441, 977, 1919, 387, 848, 18, 18, 15, 21, 18, 24, 15, 20, 22, 25, 25, 16, 188, 9334, 1594, 2875, 14, 747, 21407, 633, 9882, 276, 254, 1096, 14, 476, 4689, 597, 633, 2560, 1362, 641, 2563, 843, 963, 368, 10077, 324, 1464, 457, 85, 1612, 1628, 7613, 16, 5243, 9763, 418, 3988, 26340, 587, 5846, 1789, 324, 368, 343, 811, 248, 2875, 4341, 1052, 16, 1822, 274, 772, 24008, 26340, 3134, 403, 328, 1116, 324, 368, 14, 282, 1336, 368, 751, 888, 328, 3425, 841, 1464, 14148, 368, 276, 633, 11106, 16, 188, 1368, 1503, 452, 811, 12277, 633, 9882, 276, 248, 3396, 1096, 2049, 343, 248, 888, 35072, 2057, 274, 590, 759, 2201, 14, 390, 4895, 368, 872, 743, 24008, 328, 633, 13996, 351, 14293, 14, 25687, 2342, 390, 1619, 274, 2072, 16, 1395, 476, 3356, 328, 248, 19207, 2306, 432, 5243, 9763, 418, 3988, 26340, 14, 593, 633, 3265, 587, 751, 5751, 14, 5537, 2497, 387, 248, 5118, 4236, 16, 3699, 7528, 2497, 311, 2075, 360, 457, 251, 248, 963, 15, 4165, 1390, 324, 254, 13996, 351, 14293, 2104, 14, 286, 944, 274, 14345, 16, 188, 6906, 9763, 418, 3988, 26340, 311, 6134, 407, 282, 5587, 368, 14, 9892, 274, 748, 5900, 274, 24008, 26340, 2497, 368, 872, 324, 633, 13996, 351, 14293, 2342, 14, 2072, 14, 390, 6574, 16, 839, 457, 619, 751, 254, 2545, 2152, 324, 368, 4400, 14, 343, 772, 11835, 1396, 678, 72, 24008, 26340, 85, 663, 587, 1354, 633, 1052, 286, 2859, 633, 3138, 1840, 16, 2028, 353, 3144, 282, 6311, 24008, 26340, 3134, 14, 626, 311, 641, 872, 282, 997, 9564, 1952 ]
[ 1, 6682, 274, 4043, 1579, 14, 532, 403, 4196, 1515, 456, 2602, 3427, 276, 7760, 3358, 1918, 628, 15496, 16, 380, 2660, 555, 4448, 343, 272, 4868, 274, 7093, 12007, 14, 20790, 1321, 343, 248, 9411, 10256, 14000, 14, 286, 13079, 78, 504, 343, 248, 2006, 4612, 4865, 8745, 16, 380, 13879, 403, 4448, 276, 248, 8892, 257, 4242, 2471, 327, 311, 16373, 286, 10335, 25018, 2280, 282, 321, 248, 13715, 274, 1499, 7847, 12471, 286, 272, 3858, 274, 254, 9607, 286, 14650, 3377, 785, 324, 327, 898, 16, 4829, 1213, 327, 311, 4524, 758, 254, 6013, 274, 15596, 254, 712, 1503, 321, 14, 286, 10, 576, 11, 2023, 254, 11755, 2575, 274, 3686, 18055, 10, 390, 3686, 46531, 274, 1316, 11, 687, 254, 40058, 274, 248, 3056, 11405, 16, 188, 2432, 1041, 641, 5011, 21089, 4457, 835, 16, 310, 452, 299, 2259, 525, 594, 3768, 2075, 310, 8669, 16439, 16, 310, 3646, 11042, 4679, 14, 417, 758, 38069, 748, 310, 15065, 28281, 16, 1223, 369, 13568, 9441, 785, 327, 2660, 324, 1585, 13247, 15690, 15, 1139, 14, 310, 963, 4025, 353, 324, 4128, 16, 188, 1212, 852, 374, 18, 19, 23, 22482, 900, 432, 338, 18, 4190, 11128, 2362, 254, 1928, 2016, 282, 321, 772, 3284, 16, 3699, 2237, 403, 327, 36716, 85, 9604, 328, 3520, 286, 5079, 328, 7899, 10, 7292, 37953, 11, 403, 3564, 19411, 15, 5153, 19973, 1129, 5692, 16354, 2456, 16, 1993, 4719, 403, 254, 3117, 2072, 407, 16730, 2912, 328, 254, 15392, 274, 25294, 20027, 1525, 254, 416, 45080, 712, 2863, 286, 2367, 248, 624, 1689, 2560, 282, 338, 23, 8912, 20, 19, 22, 934, 924, 276, 8062, 343, 254, 4181, 19236, 10089, 16, 2488, 2371, 6490, 16, 188, 11226, 2595, 32090, 282, 1949, 4750, 4349, 740, 12292, 14, 2997, 3632, 14, 15897, 414, 28, 37115, 16219, 721, 274, 3479, 262, 7475, 2966, 16, 839, 961, 327, 626, 311, 8458, 26742, 2025, 276, 254, 4980, 10420, 41845, 3102, 286, 615, 4708, 2738, 12848, 327, 4343, 440, 88, 5881, 4068, 602, 16, 20928, 610, 48, 10373, 39617, 23673, 286, 3577, 24171, 328, 633, 1034, 2251, 16, 2417, 8815, 282, 14854, 15237, 22759, 343, 610, 48, 10373, 8870, 16, 310, 403, 618, 19381, 2153, 16, 310, 369, 1143, 2552, 407, 22539, 2391, 785, 387, 254, 11679, 50, 693, 273, 327, 310, 10655, 852, 254, 5675, 274, 8716, 274, 618, 19413, 4190, 11128, 16, 310, 497, 603, 436, 852, 25927, 16, 37478, 2350, 4859, 26416, 327, 345, 37196, 1748, 13364, 282, 14334, 10187, 3, 1583, 580, 476, 1074, 248, 7757, 16339, 16, 310, 403, 32056, 2102, 963, 343, 248, 21871, 417, 16, 1223, 310, 452, 14007, 2902, 512, 618, 10089, 713, 10654, 324, 248, 2211, 343, 248, 3225, 9705, 16, 7960, 23735, 28, 3171, 29, 1223, 327, 22136, 368, 286, 11500, 286, 20498, 42686, 16, 188, 5897, 7032, 2865, 13979, 4349, 740, 12292, 14, 2997, 3632, 14, 15897, 414, 28, 328, 687, 338, 20, 2945, 743, 1926, 4605, 14, 533, 555, 1102, 343, 443, 1779, 3307, 6730, 254, 2056, 1735, 286, 2110, 5540, 274, 338, 14, 24, 24, 24, 4541, 34940, 2254, 276, 5687, 869, 338, 27, 27, 23, 286, 374, 18, 19, 22, 16, 3699, 7120, 6705, 7659, 11332, 328, 687, 338, 20, 2945, 1985, 15689, 3733, 35237, 5443, 33499, 85, 14, 533, 311, 7917, 343, 443, 1779, 12916, 29522, 2113, 254, 11763, 671, 286, 1307, 275, 9744, 9633, 274, 338, 14, 24, 24, 24, 8641, 38683, 5514, 276, 5687, 869, 338, 27, 27, 23, 286, 374, 18, 19, 22, 16, 3177, 46410, 684, 20088, 5315, 25945, 684, 2320, 14, 684, 1499, 46410, 684, 5879, 452, 8022, 2177, 3546, 4052, 19719, 4626, 416, 36786, 13399, 315, 33, 13724, 25945, 684, 1689, 46410, 684, 5879, 452, 8117, 2873, 22809, 14, 390, 23417, 282, 556, 4919, 14, 26416, 3183, 4996, 6462, 6275, 348, 20014, 45980, 5085, 286, 40880, 5322, 3402, 33, 1268, 254, 2110, 4105, 1354, 756, 33334, 1525, 254, 3316, 286, 27961, 1789, 274, 39963, 4349, 740, 12292, 14, 2997, 3632, 14, 15897, 414, 28, 37115, 29, 286, 626, 10047, 641, 1428, 12580, 282, 321, 327, 254, 3277, 387, 254, 4566, 274, 533, 596, 2793, 1062, 1143, 10175, 348, 390, 276, 743, 3358, 11328, 713, 254, 842, 491, 286, 45747, 7389, 21476, 972, 14, 4679, 7541, 282, 321, 248, 39657, 898, 16, 496, 254, 2013, 2211, 14, 830, 254, 1914, 274, 1735, 687, 279, 3613, 15, 10353, 382, 311, 1012, 254, 7922, 25082, 5246, 14, 360, 835, 1074, 248, 26479, 21694, 274, 254, 7109, 274, 6789, 14, 348, 46484, 348, 1427, 11795, 14, 11204, 869, 254, 801, 286, 3506, 8227, 274, 323, 16, 380, 763, 8534, 85, 274, 1427, 11795, 20249, 9023, 1022, 14, 403, 869, 848, 18, 18, 286, 890, 18, 18, 3778, 276, 7596, 14, 343, 248, 8760, 276, 688, 47909, 274, 31511, 9529, 14, 286, 596, 12300, 28528, 417, 593, 348, 254, 548, 9744, 2114, 274, 3335, 16, 1547, 403, 14, 40839, 14, 248, 642, 16354, 324, 254, 1619, 274, 248, 9848, 17040, 2575, 14, 286, 254, 2035, 274, 436, 14287, 255, 311, 2961, 407, 10256, 274, 27001, 568, 14, 580, 4150, 286, 5982, 11132, 274, 533, 403, 8135, 1218, 14, 688, 274, 729, 4569, 254, 4865, 274, 1090, 16, 496, 436, 254, 4893, 14299, 274, 1427, 11795, 276, 254, 3555, 1162, 274, 7164, 16035, 25201, 452, 343, 6250, 47909, 16, 188, 510, 6879, 8117, 368, 1102, 27657, 9991, 248, 2328, 30803, 274, 655, 5506, 3649, 4751, 4727, 2083, 28, 26864, 15590, 297, 13973, 286, 36294, 43688, 374, 18, 19, 25, 328, 772, 16373, 16, 380, 15682, 30551, 367, 25211, 4340, 11880, 13344, 14, 852, 1205, 254, 6879, 20253, 1102, 19859, 633, 2545, 16, 7560, 1074, 441, 603, 368, 6100, 436, 311, 248, 1926, 16, 1395, 2793, 300, 3199, 30165, 12859, 7599, 15396, 28, 330, 367, 25211, 15946, 282, 20230, 322, 1036, 10061, 374, 18, 18, 23, 7659, 2674, 11751, 366, 3, 5243, 8745, 1032, 11208, 247, 9361, 28, 254, 1464, 573, 248, 16606, 327, 436, 1874, 807, 9340, 452, 16, 1395, 684, 307, 272, 1899, 274, 31935, 434, 22135, 5266, 390, 8752, 555, 643, 742, 16, 321, 254, 6151, 22135, 669, 16, 5085, 274, 22189, 475, 15 ]
[ 1, 1510, 8521, 7277, 9049, 10, 19644, 2192, 3451, 11916, 662, 1441, 417, 1438, 282, 2374, 324, 24145, 14, 532, 360, 933, 2374, 282, 1041, 3451, 2056, 327, 353, 555, 254, 3338, 2983, 31311, 3451, 324, 1308, 2327, 276, 15205, 13029, 37339, 20959, 985, 347, 13029, 3685, 20959, 985, 347, 13029, 38, 16934, 20959, 4, 5064, 5292, 1574, 28, 7959, 751, 9321, 10, 19644, 14, 1308, 2327, 11, 5292, 3584, 28, 2962, 7959, 6975, 15121, 2883, 5173, 14, 347, 510, 956, 347, 558, 16002, 24051, 2360, 870, 24051, 1554, 870, 558, 347, 311, 5651, 248, 347, 558, 1308, 2327, 558, 347, 1308, 4, 3451, 791, 8335, 6116, 10504, 16, 9436, 10, 19644, 11, 17221, 17221, 191, 188, 1510, 751, 7658, 2689, 10, 5097, 2192, 3451, 1800, 2440, 4699, 441, 254, 3544, 274, 254, 26400, 286, 587, 785, 3451, 1800, 250, 15118, 9258, 338, 16, 23, 16, 20, 286, 3564, 314, 8853, 403, 1755, 3451, 1800, 1540, 4832, 276, 374, 16, 19, 3451, 1574, 28, 5292, 6975, 401, 639, 5173, 1551, 2440, 311, 14799, 2719, 3451, 3584, 19000, 14, 300, 28, 5292, 1800, 784, 254, 1615, 10360, 3544, 5292, 270, 426, 11555, 16, 35305, 65, 5216, 41441, 20, 1534, 24370, 65, 6129, 3451, 1800, 2118, 888, 348, 1125, 1052, 15, 26451, 348, 369, 7414, 3451, 1205, 1245, 9855, 470, 28, 287, 5292, 270, 426, 270, 16, 72, 65, 2071, 5292, 1245, 426, 1245, 15, 19, 3451, 1800, 339, 626, 311, 248, 1827, 4629, 276, 254, 26400, 434, 1922, 12598, 835, 3451, 1800, 662, 1782, 1041, 254, 9128, 327, 254, 26400, 311, 248, 956, 1308, 3451, 10644, 426, 270, 16, 72, 65, 9200, 924, 16, 784, 1551, 1262, 985, 8037, 11, 3451, 1142, 2327, 426, 270, 16, 72, 65, 3107, 16, 1884, 65, 1554, 3451, 603, 10644, 28, 5292, 1052, 10018, 426, 10644, 24051, 2360, 870, 24051, 1554, 870, 13, 1356, 4983, 13, 72, 16, 72, 65, 3107, 16, 1884, 65, 1554, 32018, 314, 1259, 29922, 1320, 10, 72, 16, 72, 65, 3522, 15414, 8516, 2719, 4, 3451, 1952, 28, 5292, 1052, 10018, 426, 270, 16, 72, 65, 3107, 16, 1884, 65, 1554, 32018, 314, 1259, 29922, 1320, 10, 72, 16, 72, 65, 3522, 15414, 8516, 2719, 4, 287, 3451, 1076, 1052, 10018, 287, 17221, 191, 188, 5, 12802, 436, 3808, 282, 512, 38544, 274, 6096, 7955, 191, 188, 1510, 6096, 20959, 9417, 8626, 2192, 3451, 6096, 10018, 426, 2787, 16, 13575, 10, 4113, 10, 1320, 14, 12702, 581, 347, 35280, 3451, 324, 16002, 276, 791, 8335, 6116, 10504, 28, 5292, 16002, 16, 13029, 37339, 20959, 10, 8179, 10018, 11, 4737, 188, 5, 12802, 436, 3808, 282, 512, 38544, 274, 2160, 7955, 191, 188, 1510, 1455, 20959, 9417, 8626, 2192, 3451, 1455, 10018, 426, 347, 4608, 276, 29922, 784, 7658, 2689, 10, 19, 8516, 4, 1146, 29922, 2617, 16, 13575, 10, 4113, 10, 1320, 14, 12702, 581, 347, 35280, 3451, 324, 16002, 276, 791, 8335, 6116, 10504, 28, 5292, 16002, 16, 13029, 3685, 20959, 10, 990, 10018, 11, 4737, 188, 5, 12802, 436, 3808, 282, 512, 38544, 274, 13469, 7955, 191, 188, 1510, 13689, 73, 20959, 9417, 8626, 2192, 3451, 603, 417, 13469, 28, 5292, 1076, 3451, 1455, 10018, 426, 751, 7658, 2689, 10, 19, 8516, 4, 1146, 29922, 2617, 16, 13575, 10, 4113, 10, 1320, 14, 12702, 581, 347, 35280, 3451, 324, 16002, 276, 791, 8335, 6116, 10504, 28, 5292, 16002, 16, 13029, 38, 16934, 20959, 10, 990, 10018, 11, 4737, 188, 1510, 30254, 9417, 8626, 2192, 3451, 1800, 13689, 73, 20959, 9417, 8626, 11, 3451, 603, 417, 13469, 28, 5292, 1076, 3451, 1455, 10018, 426, 751, 7658, 2689, 10, 19, 8516, 4, 1146, 29922, 2617, 16, 13575, 10, 4113, 10, 1320, 14, 12702, 581, 347, 35280, 3451, 324, 16002, 276, 791, 8335, 6116, 10504, 28, 5292, 16002, 16, 13029, 38, 16934, 20959, 10, 990, 10018, 11, 32023, 191, 188, 15464, 7277, 9049, 10, 6799, 7277, 9049, 6472, 191, 188, 5, 423, 274, 28849, 16, 4640, 4737, 188, 5, 2484, 16, 4640, 191, 188, 5, 1532, 311, 248, 2875, 889, 1068, 324, 254, 1788, 6161, 191, 188, 5, 432, 28849, 1369, 6096, 20959, 14, 13689, 73, 20959, 14, 1455, 20959, 14, 867, 13769, 3280, 4737, 188, 5, 867, 13769, 3280, 10, 18, 11, 4737, 188, 5, 13689, 73, 20959, 1551, 2440, 1856, 625, 321, 11154, 2719, 191, 188, 5, 6096, 20959, 1551, 2770, 436, 587, 2719, 4737, 188, 5, 867, 13769, 3280, 10, 19, 11, 4737, 188, 5, 804, 16885, 14439, 3451, 1800, 13689, 73, 20959, 1551, 2440, 311, 248, 13469, 3808, 276, 985, 347, 11783, 2719, 17221, 191, 188, 5, 956, 2453, 28, 3451, 1800, 804, 271, 1345, 10, 1262, 2192, 5292, 1800, 1455, 20959, 1551, 2440, 311, 272, 2160, 3808, 276, 2453, 2719, 4737, 188, 5, 16885, 1067, 191, 188, 5, 271, 426, 2453, 1067, 191, 188, 5, 271, 16, 30798, 1067, 191, 188, 5, 1800, 423, 274, 1056, 16, 4640, 4737, 188, 5, 3340, 311, 1146, 191, 188, 5, 532, 436, 587, 191, 188, 5, 16885, 314, 1259, 338, 20, 11, 1146, 436, 311, 248, 13469, 3808, 276, 16885, 191, 188, 5, 11441, 276, 2453, 1420, 30798, 314, 1259, 338, 24, 11, 1146, 436, 311, 272, 2160, 3808, 276, 2453, 4118, 191, 188, 5, 19668, 980, 274, 3817, 1333, 3107, 16, 18890, 383, 366, 16, 679, 17, 19396, 266, 17, 19, 22, 22, 26, 21, 26, 17, 210, 5922, 2305, 0, 3933, 40113, 16, 6271, 16, 6262, 373, 312, 733, 1369, 7893, 188, 3933, 40113, 16, 5310, 1369, 3106, 188, 3933, 40113, 16, 5310, 16, 18730, 16, 8945, 924, 1369, 637, 65, 14837, 188, 3933, 40113, 16, 32983, 1369, 11145, 188, 3933, 40113, 16, 8324, 16, 6799, 39675, 1369, 42281, 1392, 14, 2787, 7910, 188, 2855, 1579, 3374, 188, 2855, 295, 188, 3933, 47033, 22, 1369, 33432, 53, 1000, 534, 188, 2360, 17247, 10, 18730, 16, 6917, 2192, 477, 1390, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 23, 18, 14, 4311, 31, 4937, 11, 477, 42281, 426, 3106, 16, 10336, 809, 6009, 10, 3958, 65, 3857, 31, 23, 18, 14, 4311, 31, 4937, 11, 1465, 804, 4623, 1320, 21257, 1262, 2192, 647, 1076, 1827, 16, 1554, 534, 188, 2360 ]
[ 1, 436, 769, 36711, 282, 2445, 954, 954, 954, 286, 3989, 372, 21210, 2546, 1756, 331, 25688, 362, 16, 22730, 10877, 2877, 14, 607, 24, 21, 529, 16, 323, 16, 42317, 21269, 314, 20, 18, 19, 19, 11, 314, 3323, 531, 1104, 896, 387, 890, 11, 314, 11265, 24415, 10597, 10749, 481, 16630, 311, 3469, 16, 188, 6235, 14, 254, 24343, 6635, 2828, 327, 254, 17846, 6241, 2048, 573, 9464, 3000, 4220, 14326, 282, 33044, 254, 7767, 274, 18064, 9307, 8756, 25845, 14, 286, 327, 254, 15890, 573, 4104, 282, 5122, 254, 5759, 274, 9307, 8756, 25845, 4317, 248, 5118, 5382, 16, 380, 24343, 6635, 30002, 327, 14, 387, 254, 671, 33044, 7527, 520, 19059, 14, 254, 17119, 274, 254, 7767, 274, 4591, 328, 9307, 8756, 25845, 369, 17376, 407, 254, 17846, 6241, 2048, 457, 85, 2964, 276, 11109, 362, 16, 15890, 14, 719, 18, 25, 323, 16, 411, 16, 374, 70, 890, 25, 14, 338, 18, 26, 314, 19, 27, 26, 18, 581, 533, 4694, 254, 7767, 274, 9350, 1885, 328, 254, 3152, 14, 532, 1628, 254, 3480, 15, 1798, 274, 18064, 254, 5759, 274, 9307, 8756, 25845, 343, 254, 15890, 276, 1093, 2153, 276, 533, 254, 3152, 573, 5447, 1885, 4073, 282, 6975, 248, 5118, 5382, 328, 254, 2443, 16, 4644, 282, 254, 24343, 6635, 14, 2228, 14, 254, 17846, 6241, 2048, 28093, 432, 327, 4541, 276, 33044, 457, 1068, 286, 4694, 254, 7767, 274, 18064, 9307, 8756, 25845, 769, 291, 602, 315, 328, 254, 3152, 1756, 719, 23, 19, 401, 16, 495, 70, 14, 387, 607, 18, 18, 16, 188, 510, 24343, 6635, 457, 85, 7705, 311, 4376, 407, 2110, 7589, 274, 254, 17846, 6241, 2048, 457, 85, 4596, 276, 33044, 457, 1068, 16, 1180, 1610, 14, 254, 1350, 1278, 4709, 327, 33044, 573, 769, 14651, 61, 265, 63, 9220, 1885, 666, 274, 520, 9307, 8756, 25845, 14, 2486, 254, 1278, 10661, 520, 31389, 15, 1153, 15, 779, 15, 21742, 1703, 407, 4419, 254, 1885, 345, 573, 3443, 769, 13719, 432, 15948, 1756, 2499, 683, 407, 14440, 327, 353, 4104, 282, 6975, 248, 5118, 5382, 16, 33044, 14, 813, 18, 27, 323, 16, 411, 16, 374, 70, 14, 387, 576, 20, 18, 1230, 22, 20, 19, 16, 380, 1350, 1278, 669, 2458, 327, 353, 573, 3970, 30493, 276, 5919, 1318, 362, 16, 1158, 15, 1097, 13524, 14, 719, 27, 22, 323, 16, 411, 16, 374, 70, 719, 27, 24, 314, 19, 27, 26, 23, 581, 327, 769, 5217, 565, 274, 9307, 8756, 25845, 311, 417, 272, 3179, 274, 254, 6442, 274, 7498, 533, 254, 15890, 1339, 2361, 37145, 1221, 5122, 1397, 33044, 14, 9008, 14, 387, 576, 20, 19, 16, 496, 254, 24343, 6635, 457, 85, 1806, 14, 254, 17846, 6241, 2048, 457, 85, 21421, 328, 436, 5919, 1318, 15454, 274, 9307, 8756, 25845, 276, 29351, 33044, 457, 4408, 13218, 254, 12227, 12293, 25494, 14, 348, 20685, 407, 436, 2048, 276, 20799, 466, 362, 16, 3124, 274, 12394, 14, 495, 25, 26, 529, 16, 323, 16, 495, 22, 25, 14, 495, 23, 22, 314, 19, 27, 24, 22, 11, 1140, 974, 353, 3103, 254, 13393, 4367, 2809, 274, 272, 769, 2714, 329, 8890, 286, 22823, 34094, 457, 17841, 12043, 17988, 274, 254, 17846, 7498, 6468, 16, 188, 510, 24343, 6635, 457, 85, 4596, 669, 7674, 254, 6280, 327, 254, 1885, 4376, 248, 4419, 274, 641, 9307, 8756, 25845, 16, 839, 452, 749, 327, 769, 263, 311, 254, 8075, 274, 254, 4833, 1111, 1410, 254, 1278, 1111, 927, 7415, 748, 11496, 933, 321, 8171, 432, 1885, 7962, 387, 2260, 1756, 19533, 1345, 375, 362, 16, 6041, 14, 607, 24, 23, 529, 16, 323, 16, 338, 1140, 21269, 314, 20, 18, 19, 19, 11, 314, 468, 41509, 11, 314, 3323, 531, 1104, 896, 387, 338, 481, 380, 1885, 311, 4073, 282, 1305, 248, 9358, 10510, 14, 769, 6266, 14256, 254, 1885, 276, 254, 1665, 944, 13481, 282, 254, 13695, 14, 665, 8642, 40805, 274, 948, 807, 452, 1102, 254, 5503, 3483, 274, 254, 6442, 4317, 248, 5118, 5382, 1397, 9596, 362, 16, 9137, 14, 576, 22, 21, 529, 16, 323, 16, 495, 18, 25, 14, 495, 19, 27, 314, 19, 27, 25, 27, 11, 954, 1223, 248, 1350, 15, 13181, 2964, 32695, 248, 31389, 5527, 774, 417, 321, 44127, 328, 4260, 23112, 5569, 254, 769, 32411, 369, 2714, 5912, 1221, 20084, 8792, 17841, 19533, 1345, 375, 14, 9008, 14, 387, 21269, 314, 3323, 531, 1104, 896, 387, 338, 481, 188, 686, 1665, 274, 436, 6832, 15, 614, 21210, 2546, 14, 353, 311, 7532, 5785, 2508, 327, 254, 17846, 6241, 2048, 457, 85, 17714, 274, 33044, 457, 31389, 1703, 311, 10654, 276, 436, 4260, 23112, 11832, 16, 380, 24343, 6635, 4728, 327, 3093, 16, 771, 308, 47071, 4329, 272, 4596, 327, 33044, 369, 758, 254, 4683, 274, 9307, 8756, 25845, 387, 254, 671, 274, 254, 28747, 14, 286, 852, 417, 18469, 432, 327, 4596, 328, 2743, 15, 26256, 16, 1268, 626, 369, 24096, 1885, 13091, 276, 254, 642, 3758, 348, 963, 16, 1260, 254, 17846, 6241, 2048, 2458, 14, 33044, 457, 1703, 274, 9307, 798, 81, 15, 247, 1557, 25845, 369, 1095, 726, 407, 769, 779, 5819, 274, 254, 6442, 1756, 813, 18, 27, 323, 16, 411, 16, 374, 70, 14, 387, 576, 20, 19, 1111, 10117, 254, 5281, 327, 345, 28517, 2501, 282, 7274, 254, 7498, 10213, 254, 1362, 274, 254, 28747, 14, 327, 345, 12946, 2006, 2942, 841, 10982, 254, 5490, 1063, 4832, 324, 520, 4335, 457, 85, 1683, 14, 286, 327, 345, 13077, 2006, 2942, 869, 9349, 520, 3002, 15, 250, 15, 6751, 286, 9550, 520, 4335, 16, 380, 1703, 369, 669, 1095, 726, 407, 520, 3753, 841, 254, 28747, 14, 1648, 520, 16139, 28092, 63, 4867, 282, 10233, 254, 5490, 286, 3944, 520, 9749, 1756, 286, 1938, 769, 73, 400, 61, 273, 63, 248, 3117, 3782, 282, 254, 3398, 1397, 19553, 16, 380, 24343, 6635, 40558, 436, 1885, 974, 3093, 16, 771, 308, 47071, 7652, 327, 33044, 457, 12124, 46427, 286, 13715, 274, 43632, 497, 417, 16245, 343, 254, 5950, 274, 9307, 8756, 25845, 16, 719, 23, 19, 401, 16, 495, 70, 896, 387, 607, 18, 22, 14, 296, 16 ]
[ 1, 35182, 869, 368, 286, 254, 2497, 11399, 16, 380, 4205, 1339, 2408, 254, 4139, 274, 5740, 3134, 14, 7068, 590, 3134, 14, 4139, 274, 512, 9104, 274, 7068, 1648, 10203, 14, 3134, 7068, 14, 12762, 10203, 14, 17424, 7068, 14, 286, 2626, 327, 368, 452, 282, 2014, 16, 188, 6690, 403, 248, 1603, 2875, 11861, 286, 24061, 327, 476, 1041, 633, 3083, 274, 5537, 5337, 733, 286, 3465, 398, 3364, 286, 1637, 671, 3089, 16, 731, 311, 248, 3109, 15, 1578, 15, 10263, 2660, 327, 368, 476, 889, 282, 1074, 248, 44936, 286, 7363, 4735, 2485, 276, 254, 2758, 16, 188, 1212, 19977, 10871, 327, 15195, 3465, 398, 286, 5337, 733, 452, 615, 1193, 867, 274, 2349, 286, 1580, 593, 1063, 15002, 248, 2379, 24415, 360, 650, 1754, 6211, 282, 563, 939, 9132, 286, 6987, 282, 3570, 665, 39084, 16, 5650, 274, 254, 41275, 3465, 398, 286, 5337, 733, 2101, 12881, 555, 615, 1193, 867, 274, 1564, 593, 4356, 2482, 4221, 615, 6987, 6111, 1063, 15002, 328, 4205, 16, 188, 43, 872, 282, 2055, 16601, 14, 476, 368, 1336, 33, 188, 42208, 368, 452, 1869, 248, 977, 1162, 286, 324, 44442, 274, 633, 16601, 360, 452, 1640, 3465, 398, 286, 5337, 733, 328, 254, 1581, 663, 807, 3831, 368, 1640, 1841, 44442, 2497, 16, 188, 2275, 933, 360, 865, 368, 403, 12881, 33, 188, 3431, 23553, 3465, 398, 286, 5337, 733, 452, 867, 615, 3780, 387, 1726, 29852, 14, 368, 807, 1663, 665, 671, 282, 2374, 1789, 286, 321, 5618, 668, 615, 12733, 16, 188, 2433, 353, 248, 2194, 2417, 1903, 2497, 33, 188, 4234, 353, 311, 772, 41275, 3465, 398, 286, 5337, 733, 5961, 368, 2194, 2417, 1903, 2497, 9564, 1444, 276, 14456, 38677, 286, 324, 665, 47311, 1774, 596, 452, 248, 8111, 274, 10575, 274, 3790, 282, 1041, 368, 1002, 16, 188, 43, 872, 31012, 44442, 2497, 282, 2055, 618, 2342, 14, 476, 368, 1336, 479, 33, 188, 42208, 14, 368, 807, 5053, 432, 31012, 286, 5537, 867, 274, 3134, 11868, 327, 626, 311, 248, 1581, 274, 5537, 3465, 398, 286, 5337, 733, 324, 368, 16, 188, 43, 452, 248, 4304, 274, 17460, 343, 479, 29, 883, 5565, 282, 770, 23679, 353, 11476, 33, 188, 5897, 41275, 3465, 398, 286, 5337, 733, 452, 4304, 15066, 282, 5166, 633, 3629, 432, 665, 4577, 14, 593, 368, 807, 811, 7712, 286, 1862, 248, 1052, 324, 44442, 2497, 16, 188, 4816, 513, 368, 889, 10408, 1008, 7161, 398, 33, 188, 23254, 273, 1897, 14, 772, 2497, 11645, 5103, 282, 889, 254, 1057, 282, 29144, 9961, 286, 254, 1057, 650, 1336, 282, 4132, 286, 1619, 1789, 2474, 282, 695, 2245, 16, 188, 8234, 360, 403, 17751, 286, 17190, 3465, 398, 286, 5337, 733, 403, 39949, 1024, 1873, 16, 188, 1212, 2023, 41803, 286, 5118, 41580, 286, 6770, 733, 14456, 38677, 3134, 282, 772, 7528, 282, 5053, 29034, 41580, 286, 6770, 733, 276, 14456, 38677, 286, 669, 476, 7085, 615, 4009, 390, 7068, 324, 665, 1479, 274, 4735, 3134, 276, 14456, 38677, 16, 1800, 27793, 398, 1843, 47, 11904, 30874, 38677, 14, 1395, 587, 751, 4688, 282, 452, 1903, 18550, 282, 5166, 2501, 286, 671, 348, 963, 1196, 6713, 398, 65, 5591, 38677, 16, 3699, 1922, 6770, 733, 286, 41580, 276, 14456, 38677, 587, 513, 512, 785, 4850, 3867, 4798, 14, 7258, 1572, 12201, 9241, 747, 367, 10609, 286, 906, 6713, 273, 14, 31593, 286, 906, 22604, 3838, 16, 1395, 774, 669, 2374, 14167, 1800, 27793, 398, 1843, 47, 11904, 250, 30874, 38677, 9856, 324, 633, 12852, 16, 1395, 774, 1052, 387, 558, 27, 19, 15, 27, 23, 26, 20, 18, 19, 18, 21, 25, 21, 282, 1905, 7446, 3172, 4638, 16, 0, 686, 436, 17016, 360, 1354, 272, 9220, 997, 387, 33457, 286, 15388, 18248, 387, 254, 9580, 1252, 3932, 1400, 36357, 14228, 16, 839, 31154, 1285, 254, 4987, 274, 254, 743, 4516, 276, 374, 18, 18, 19, 286, 374, 18, 18, 21, 16, 20626, 18248, 497, 1311, 248, 1794, 7970, 286, 254, 6376, 848, 25, 85, 497, 419, 15841, 8019, 18248, 14, 9567, 274, 2181, 1045, 343, 8555, 274, 33457, 40266, 576, 25, 85, 14, 607, 25, 85, 286, 274, 2211, 719, 24, 85, 16, 188, 9928, 785, 721, 497, 31154, 1648, 6376, 890, 18, 85, 286, 890, 20, 85, 286, 1181, 624, 16, 18235, 568, 11268, 497, 11261, 5245, 4239, 14, 657, 1203, 1275, 1502, 43484, 14, 740, 25015, 286, 2049, 254, 12369, 31836, 324, 688, 3684, 269, 2493, 2181, 432, 33457, 286, 15388, 18248, 16, 839, 915, 9580, 1252, 3932, 1400, 6376, 607, 18, 26, 4934, 286, 3684, 20626, 18248, 512, 31154, 276, 9138, 5603, 33504, 16, 0, 2433, 254, 6287, 2115, 276, 254, 1499, 16, 188, 10477, 2784, 4785, 32253, 276, 12076, 16, 188, 2899, 1143, 254, 5168, 14, 286, 345, 807, 3191, 14, 390, 417, 16, 188, 2686, 3260, 311, 8812, 1045, 14, 5157, 16, 0, 1130, 369, 2287, 276, 254, 4890, 10243, 8872, 2966, 327, 254, 11924, 274, 380, 1502, 43484, 452, 248, 2958, 16893, 7626, 327, 587, 7948, 370, 20, 25, 18, 16, 21, 2945, 4264, 254, 801, 3298, 274, 4987, 14, 533, 1875, 924, 370, 25, 25, 23, 16, 25, 2945, 16, 4644, 282, 254, 3802, 14, 836, 4139, 497, 4799, 276, 10560, 9017, 407, 17786, 18171, 282, 254, 8852, 6284, 282, 14611, 254, 8341, 5048, 3214, 13908, 314, 46, 4726, 11, 869, 254, 2758, 286, 38081, 15, 18462, 1930, 9938, 6170, 16, 2514, 274, 254, 5925, 274, 254, 418, 4726, 369, 327, 38081, 15, 18462, 1930, 9938, 6170, 2961, 282, 452, 248, 5758, 274, 370, 20, 18, 18, 2945, 276, 2958, 16893, 21493, 276, 254, 2133, 457, 85, 801, 3298, 16, 18789, 403, 4574, 3435, 713, 1619, 324, 380, 1502, 43484, 276, 254, 2391, 1722, 16, 330, 14673, 369, 11200, 407, 254, 2048, 274, 9631, 14, 835, 254, 11924, 5968, 1364, 2065, 387, 254, 12699, 41972, 4654, 327, 596, 18074, 282, 2654, 3112, 328, 3298, 580, 23455, 276, 3447, 3793, 286, 248, 4987, 18795, 650, 321, 3435, 282, 254, 1773, 6170, 276, 254, 3435, 3498, 16, 496, 1596, 14, 2474, 282, 20219, 264, 25746, 14894, 274, 657, 16, 46062, 457, 85, 10366, 45546, 6240, 14, 596 ]
[ 1, 510, 39156, 20113, 5044, 324, 12405, 314, 23082, 11, 3290, 3184, 1521, 286, 2289, 15, 15533, 4584, 282, 2784, 2086, 276, 272, 3026, 274, 2314, 286, 1633, 324, 2572, 286, 512, 274, 520, 2086, 16, 380, 331, 7778, 332, 37960, 282, 968, 408, 248, 3177, 274, 15383, 14, 13886, 14, 45281, 14, 286, 40878, 276, 254, 14643, 274, 772, 2086, 16, 188, 510, 331, 7778, 311, 16753, 407, 254, 2341, 274, 3561, 22787, 286, 311, 1493, 813, 28, 21, 18, 248, 16, 79, 16, 282, 607, 28, 21, 18, 269, 16, 79, 896, 40868, 696, 939, 1825, 18782, 16, 12405, 403, 17190, 328, 248, 2057, 15, 2523, 3596, 276, 580, 274, 763, 2289, 15, 5989, 5495, 29, 23249, 2081, 38108, 314, 1114, 338, 15, 21, 1090, 11, 286, 3220, 1611, 8028, 314, 1114, 495, 15, 24, 1090, 481, 330, 610, 6057, 38571, 6529, 1593, 8028, 311, 669, 2449, 276, 254, 39504, 314, 26, 28, 21, 18, 248, 16, 79, 16, 428, 338, 20, 28, 21, 18, 269, 16, 79, 12989, 188, 35, 9107, 2024, 311, 2449, 2474, 282, 2086, 434, 16280, 3095, 16, 12405, 403, 7136, 282, 254, 29088, 14, 19843, 11349, 14, 3778, 14, 9622, 14, 286, 855, 3335, 2835, 4945, 16, 188, 24352, 403, 2066, 282, 2086, 343, 2628, 3095, 276, 8726, 343, 4087, 3126, 434, 1303, 15, 12372, 29783, 3526, 286, 254, 4602, 15, 6816, 4174, 311, 11644, 282, 898, 276, 254, 1824, 28161, 3026, 327, 311, 944, 12557, 324, 254, 1401, 16, 188, 26372, 91, 3297, 2367, 387, 254, 39156, 20113, 5044, 348, 248, 9475, 276, 338, 27, 26, 26, 16, 1469, 555, 248, 9299, 13819, 286, 248, 10436, 434, 276, 10126, 10017, 432, 4087, 3126, 2421, 16, 1469, 3285, 254, 4569, 3925, 6251, 276, 374, 18, 18, 19, 16, 1469, 14131, 9299, 286, 2876, 282, 865, 254, 2086, 286, 5703, 16, 188, 14455, 91, 2956, 2367, 276, 254, 1401, 1521, 8533, 276, 374, 18, 19, 23, 841, 29301, 327, 2086, 403, 616, 1972, 9646, 16, 1469, 3297, 2367, 387, 254, 4569, 3925, 276, 374, 18, 19, 24, 286, 311, 4250, 254, 11983, 23249, 2081, 45196, 16, 188, 48, 1711, 2956, 2367, 387, 254, 4569, 3925, 276, 374, 18, 19, 20, 348, 248, 16048, 9475, 16, 2646, 9169, 276, 272, 13010, 9475, 2472, 14, 46845, 4255, 713, 254, 1450, 43575, 9475, 1844, 276, 374, 18, 19, 23, 16, 46845, 555, 643, 6841, 324, 374, 25, 1090, 286, 555, 763, 2086, 274, 616, 1193, 16, 188, 45, 551, 555, 248, 39269, 434, 276, 33298, 10017, 432, 254, 2421, 274, 26798, 16, 1469, 555, 4168, 343, 2784, 2086, 276, 26798, 14, 14478, 14, 11233, 286, 3561, 22787, 16, 1469, 555, 643, 387, 254, 4569, 3925, 1544, 374, 18, 19, 22, 286, 14131, 2367, 343, 33828, 10504, 974, 596, 403, 17727, 14, 11437, 286, 2057, 274, 2269, 16, 188, 17814, 2125, 3297, 348, 248, 5805, 7969, 387, 254, 4569, 3925, 276, 374, 18, 19, 21, 16, 1469, 20356, 432, 4087, 3126, 276, 374, 18, 19, 25, 343, 248, 4110, 276, 33298, 10017, 16, 2646, 30185, 701, 3297, 2367, 387, 254, 4569, 3925, 20674, 16, 1469, 7583, 282, 4126, 7290, 254, 2086, 2941, 286, 1709, 16, 188, 510, 39156, 20113, 5044, 324, 12405, 311, 4301, 9446, 282, 254, 13416, 387, 3699, 12578, 1494, 434, 23714, 267, 6240, 387, 890, 18, 27, 4117, 495, 21, 5619, 5555, 16, 188, 2148, 1460, 668, 28132, 286, 4009, 14, 4436, 36607, 10111, 11087, 387, 480, 3573, 11087, 34, 2249, 466, 16, 13434, 390, 4341, 28, 719, 18, 23, 16, 20, 25, 22, 16, 22, 25, 18, 19, 16, 0, 1853, 4597, 2117, 35681, 1093, 2537, 2906, 14, 11995, 8461, 1891, 282, 616, 2836, 16, 1547, 573, 12946, 248, 1034, 671, 324, 2966, 16, 1691, 2956, 348, 248, 2875, 29499, 3285, 2314, 16, 1547, 15694, 1034, 4047, 13227, 14, 248, 26831, 1096, 23267, 14, 286, 272, 2674, 12905, 1722, 12866, 16, 11648, 512, 254, 33958, 286, 36191, 274, 615, 2860, 14, 615, 2314, 324, 1004, 642, 1582, 4104, 14, 286, 615, 2860, 756, 8669, 9779, 16, 188, 1368, 807, 915, 353, 276, 254, 1026, 4597, 29367, 432, 2394, 282, 2394, 348, 345, 2950, 520, 27361, 2849, 1051, 254, 36687, 16, 188, 1130, 369, 8713, 670, 35681, 9795, 668, 3148, 596, 573, 6139, 668, 1004, 642, 1285, 615, 12866, 16, 188, 1843, 368, 3611, 353, 670, 596, 1218, 615, 362, 5646, 282, 1004, 642, 16, 188, 510, 2774, 1362, 1927, 4079, 10725, 16, 4186, 254, 33504, 327, 35420, 265, 939, 254, 15727, 314, 6266, 1129, 11981, 248, 890, 18, 7, 4688, 274, 9067, 328, 254, 16455, 11, 282, 254, 15581, 1008, 27587, 348, 35681, 457, 85, 11912, 7233, 616, 1051, 254, 36687, 16, 1664, 369, 21873, 32563, 939, 254, 1284, 11116, 18339, 348, 35681, 1652, 4558, 282, 2411, 6645, 16, 444, 1169, 16, 380, 5793, 649, 958, 328, 254, 9117, 274, 1033, 1284, 1456, 48136, 286, 7549, 2959, 1318, 16, 1223, 348, 254, 12603, 38321, 254, 2286, 1919, 14, 368, 4428, 457, 86, 1336, 532, 25841, 2049, 16, 188, 20461, 26025, 747, 436, 580, 9042, 479, 274, 2075, 310, 513, 748, 310, 513, 16, 310, 2314, 27765, 2314, 16, 310, 2314, 13782, 276, 343, 254, 17294, 14, 16578, 286, 39448, 348, 248, 5769, 286, 248, 4335, 6429, 2292, 276, 7668, 16, 1223, 310, 2314, 4703, 843, 254, 6032, 555, 2102, 900, 615, 2860, 282, 3217, 14683, 18199, 16, 731, 369, 254, 3834, 7012, 11812, 14, 286, 310, 715, 27205, 327, 28192, 286, 310, 497, 2041, 282, 321, 626, 282, 8987, 353, 512, 16, 188, 4792, 457, 85, 282, 1125, 14, 1125, 1090, 274, 2314, 14, 10725, 14, 33276, 286, 14032, 2234, 16, 286, 6645, 16, 444, 1169, 3, 0, 6004, 360, 8812, 254, 3452, 21690, 328, 254, 26598, 2179, 3800, 1364, 7738, 14, 254, 10259, 21801, 286, 310, 4285, 282, 4126, 5337, 76, 20413, 1143, 432, 254, 31792, 276, 772, 3015, 10060, 16, 380, 31792, 434, 2584, 687, 353, 434, 1193, 6956, 14, 593, 626, 369, 9567, 324, 2782, 10143, 276, 254, 29054, 286, 324, 36200, 276, 254, 5099, 16, 188, 43, 452, 8611, 641, 4596, 668, 1665, 10970, 6958, 5172, 14, 286, 310, 452, 641, 7338, 328, 347 ]
[ 1, 274, 436, 310, 10288, 401, 23949, 10007, 328, 254, 411, 3069, 4669, 6254, 12969, 16, 1260, 248, 898, 14, 641, 5913, 390, 47288, 807, 4540, 282, 254, 22760, 4622, 286, 254, 22760, 4622, 3038, 807, 641, 3248, 13417, 343, 254, 11383, 5287, 16, 188, 10476, 401, 23949, 369, 3416, 742, 14, 3148, 2956, 2367, 959, 16, 310, 1938, 1652, 16418, 432, 15963, 2550, 327, 411, 3069, 311, 417, 401, 23949, 36701, 16, 16144, 327, 276, 2482, 603, 633, 2485, 17, 19542, 6577, 4279, 14491, 282, 321, 401, 23949, 36701, 16, 0, 4390, 282, 580, 274, 254, 24610, 276, 254, 4698, 380, 6797, 1318, 407, 254, 45026, 17009, 34331, 301, 443, 2478, 267, 14, 1569, 46929, 32587, 254, 14512, 274, 12951, 14, 17714, 14, 286, 13780, 319, 276, 5779, 16, 188, 8271, 526, 265, 274, 254, 23801, 282, 254, 9323, 274, 2436, 22804, 1348, 14, 830, 25167, 311, 248, 825, 274, 10725, 14, 286, 41533, 311, 248, 825, 274, 24031, 1426, 14, 1569, 46929, 1623, 1419, 1595, 713, 254, 5215, 274, 17695, 14, 4541, 14, 286, 18202, 836, 2957, 274, 1129, 533, 360, 403, 3673, 9988, 282, 3570, 14, 10205, 390, 11504, 276, 13034, 5779, 16, 188, 11518, 274, 254, 607, 332, 11354, 285, 311, 867, 282, 248, 1015, 4698, 274, 7020, 327, 403, 4405, 276, 254, 12865, 1527, 7451, 20833, 27717, 6014, 5957, 16, 380, 17388, 39063, 10482, 836, 7020, 532, 311, 3427, 282, 17531, 254, 2126, 1739, 274, 254, 2426, 16, 380, 4645, 12083, 274, 254, 4105, 5827, 31745, 22293, 14621, 276, 5719, 282, 671, 16, 0, 29253, 4684, 28, 348, 248, 37570, 7109, 14, 843, 476, 310, 11586, 618, 6211, 282, 3191, 13825, 282, 618, 2072, 670, 626, 403, 593, 1125, 9898, 2066, 33, 188, 8687, 368, 865, 327, 626, 403, 3009, 2021, 398, 6104, 254, 10032, 4351, 33, 8918, 14, 852, 368, 865, 327, 836, 942, 452, 2411, 624, 20185, 974, 274, 19047, 248, 16, 77, 16, 67, 16, 2909, 25593, 3404, 8816, 6547, 20141, 45122, 7370, 33, 188, 17234, 8064, 25719, 1725, 908, 85, 374, 18, 19, 26, 1822, 12142, 31794, 16, 0, 1130, 555, 643, 35147, 1544, 310, 852, 580, 286, 369, 4536, 360, 403, 1899, 16, 188, 6264, 14, 1315, 457, 85, 513, 353, 2292, 328, 7025, 374, 17, 20, 25, 16, 2003, 587, 1862, 368, 512, 8621, 282, 3083, 254, 8349, 14, 21879, 14, 18386, 14, 3547, 1091, 10619, 1157, 7319, 4419, 1157, 3547, 6109, 626, 16, 188, 5705, 328, 7025, 1315, 457, 85, 512, 1470, 1157, 3547, 6109, 16, 1258, 457, 85, 1800, 11976, 13238, 286, 4856, 353, 561, 282, 254, 37060, 1499, 286, 4895, 2996, 587, 1354, 4226, 16, 188, 43, 865, 46303, 2278, 4383, 5823, 2554, 311, 597, 324, 353, 977, 33, 188, 2686, 7629, 790, 16, 310, 587, 321, 2731, 3461, 282, 748, 12287, 1074, 16, 26742, 1856, 457, 86, 452, 665, 4128, 2778, 73, 5693, 321, 21794, 13692, 865, 16, 0, 686, 272, 16100, 3970, 3737, 276, 254, 1427, 2728, 7514, 14, 17042, 382, 33952, 286, 2410, 12756, 330, 2184, 8001, 327, 399, 560, 255, 36239, 1563, 624, 286, 1755, 9787, 7180, 16, 380, 4596, 5158, 311, 7234, 2514, 12544, 282, 22785, 31086, 28, 2916, 399, 2655, 276, 36239, 14, 286, 311, 12601, 432, 520, 41544, 769, 21163, 1756, 380, 443, 456, 3124, 16, 750, 2957, 327, 2624, 2109, 286, 32957, 7328, 327, 17539, 5299, 869, 719, 7, 286, 607, 18, 7, 348, 248, 898, 274, 248, 34052, 274, 9839, 3909, 16, 380, 2477, 3909, 3144, 432, 2477, 2477, 4865, 286, 6259, 274, 5532, 14, 2477, 732, 15, 16964, 15790, 14, 286, 2477, 11343, 286, 5081, 274, 9961, 14, 3134, 14, 286, 636, 8935, 16, 42129, 315, 580, 274, 254, 944, 10817, 4462, 324, 13922, 3909, 14, 2477, 12762, 6555, 14, 3432, 457, 86, 3468, 5234, 276, 254, 16100, 16, 188, 27177, 14, 2234, 16, 330, 2184, 3061, 687, 15, 251, 3718, 276, 9994, 248, 1449, 5753, 869, 769, 8694, 3530, 496, 2666, 8029, 13146, 457, 11409, 666, 286, 254, 1017, 2042, 274, 7827, 276, 4902, 747, 254, 4852, 10483, 6728, 14166, 14, 4645, 276, 248, 2863, 274, 942, 286, 7180, 276, 254, 1364, 9711, 16, 496, 1577, 14, 345, 821, 35248, 21150, 12810, 324, 17515, 769, 468, 26600, 324, 763, 282, 1241, 2008, 348, 1125, 743, 8841, 348, 852, 254, 4852, 10483, 286, 4852, 7715, 36380, 3551, 5514, 666, 869, 338, 27, 27, 20, 286, 374, 18, 18, 27, 16, 1678, 14, 4852, 10483, 311, 2102, 580, 274, 254, 944, 40688, 26044, 9839, 3551, 276, 254, 2504, 14, 286, 21150, 311, 580, 274, 254, 944, 29041, 1923, 16, 8918, 14, 1125, 274, 254, 3017, 4184, 7617, 14, 4645, 432, 254, 7155, 345, 2349, 348, 427, 2805, 14598, 1186, 14, 11586, 2477, 3909, 282, 13622, 1493, 2245, 14, 286, 41459, 6136, 34552, 14, 533, 774, 2490, 3909, 328, 580, 2187, 532, 783, 429, 1495, 16, 17318, 1024, 14, 529, 16, 53, 16, 8020, 5103, 282, 452, 2019, 36718, 8952, 683, 615, 5130, 20775, 2486, 452, 1181, 2330, 4440, 16229, 16, 188, 686, 1962, 14, 695, 272, 4576, 286, 47341, 16100, 14, 532, 688, 274, 254, 11496, 3471, 624, 747, 3471, 37346, 432, 248, 28422, 6834, 17719, 683, 254, 556, 5691, 41960, 43338, 274, 248, 25995, 16, 0, 2976, 267, 9899, 348, 272, 6623, 387, 380, 7296, 323, 16125, 1348, 4580, 274, 33753, 276, 28626, 46786, 14, 286, 841, 13178, 520, 28315, 276, 374, 18, 18, 23, 14, 36816, 369, 4400, 23378, 597, 407, 20921, 19363, 3473, 22017, 85, 274, 25124, 16, 188, 23954, 374, 18, 18, 27, 36816, 369, 17741, 2367, 328, 248, 5081, 274, 2165, 6319, 1648, 580, 742, 8841, 286, 1733, 20263, 15592, 3088, 314, 1507, 254, 38287, 481, 1678, 276, 327, 5603, 1464, 4251, 324, 36816, 314, 395, 248, 2187, 274, 2489, 11, 670, 345, 369, 1143, 27151, 1285, 254, 28243, 16, 188, 1516, 369, 248, 8353, 1110, 276, 36816, 457, 85, 5095, 16, 1180, 254, 1689, 374, 1090, 14, 36816, 4168, 19469, 12744, 282, 2896, 286, 2941, 843, 282, 1382, 248, 2072, 276, 819, 248, 2746, 4682, 671, 14, 4610, 597, 520, 1193, 26975, 3819, 1091, 36816, 2995, 3313, 22017, 85, 11771, 314, 32324, 481, 27417, 742 ]
[ 1, 7228, 16, 188, 510, 9845, 32698, 14, 11042, 407, 512, 14, 13889, 274, 248, 10286, 5278, 14, 2424, 286, 3065, 8760, 286, 19792, 286, 7351, 789, 14, 248, 47141, 494, 31307, 324, 254, 42720, 7335, 16665, 409, 11340, 1322, 286, 4663, 4956, 663, 573, 643, 9734, 512, 1362, 16, 15358, 254, 6280, 14, 2499, 683, 272, 742, 15, 10968, 2591, 2288, 14, 254, 1907, 8902, 457, 85, 9107, 282, 2120, 248, 47369, 314, 43697, 407, 740, 256, 2437, 11, 276, 254, 6649, 9643, 14, 533, 28955, 369, 39433, 265, 407, 3972, 8364, 14, 286, 254, 47369, 369, 2828, 276, 254, 17058, 7228, 841, 254, 15669, 16, 188, 510, 763, 15, 1183, 4654, 2956, 276, 33103, 328, 8109, 343, 254, 16962, 47122, 14, 248, 21403, 282, 30276, 254, 7477, 282, 7335, 16665, 409, 5539, 274, 12382, 7416, 16962, 16, 380, 21403, 369, 18338, 2714, 11567, 8466, 18624, 282, 1270, 1234, 254, 2038, 28404, 8466, 485, 286, 37183, 485, 457, 286, 369, 1635, 407, 12382, 23086, 35240, 323, 16, 35109, 2139, 14, 314, 32501, 11839, 324, 8466, 18624, 14, 4347, 274, 6757, 17812, 14, 2421, 274, 11666, 14, 11666, 5427, 481, 188, 27780, 39504, 763, 7332, 11824, 3444, 248, 580, 15, 11642, 8350, 2654, 533, 2263, 1619, 841, 254, 16962, 47122, 14, 26447, 29590, 282, 2207, 254, 1002, 29941, 31305, 14, 286, 2818, 7736, 26302, 432, 11824, 580, 286, 763, 16, 188, 6690, 11824, 497, 3444, 407, 248, 23795, 763, 15, 11642, 10864, 2654, 387, 338, 20, 16, 19, 18, 14, 533, 369, 2828, 276, 254, 20228, 2104, 286, 11152, 35596, 671, 282, 2896, 343, 23943, 14, 1806, 31305, 286, 7829, 254, 12458, 6254, 418, 3101, 13367, 19277, 314, 19, 20, 16, 22, 23, 428, 338, 22, 16, 18, 18, 481, 188, 510, 763, 7332, 8109, 11824, 4671, 841, 254, 10864, 2654, 343, 11824, 1241, 14, 1694, 14, 2537, 286, 2712, 16, 826, 6692, 369, 6965, 387, 338, 23, 16, 22, 18, 324, 248, 495, 18, 15, 15075, 10062, 2654, 286, 624, 671, 282, 590, 2255, 254, 20228, 286, 31305, 16, 188, 35, 16727, 15669, 286, 254, 7847, 8725, 387, 657, 16, 2436, 457, 85, 6640, 14, 11666, 9706, 742, 248, 2057, 801, 1362, 274, 254, 378, 3231, 53, 24785, 29123, 286, 12304, 16, 188, 27557, 3998, 2956, 343, 763, 7332, 11824, 14, 4941, 286, 4175, 16, 1993, 11824, 497, 3444, 407, 248, 580, 15, 11642, 8350, 2654, 14, 533, 369, 2828, 276, 254, 20228, 2104, 16, 188, 510, 4523, 274, 7998, 3998, 7332, 11824, 4671, 841, 254, 8350, 2654, 343, 11824, 7261, 286, 3460, 1063, 248, 2654, 274, 580, 4813, 324, 10864, 14, 1285, 533, 254, 378, 3231, 53, 24785, 4078, 29123, 2263, 1619, 14, 28860, 254, 8820, 11824, 14, 254, 378, 3231, 53, 771, 3399, 1795, 34298, 47122, 14, 17263, 26302, 286, 254, 10902, 40431, 16, 188, 510, 2379, 21403, 14, 254, 1795, 34298, 378, 3231, 53, 15096, 457, 85, 47122, 14, 369, 1635, 407, 12382, 444, 16, 427, 16, 40657, 27751, 314, 18780, 274, 16937, 14, 5427, 11, 328, 2714, 4369, 30614, 274, 1822, 1302, 560, 276, 34852, 282, 23704, 5251, 34852, 348, 43331, 428, 254, 26777, 274, 19525, 7335, 16665, 409, 5539, 14960, 188, 42263, 7998, 8820, 2950, 254, 9498, 274, 2624, 378, 3231, 53, 16161, 407, 254, 378, 3231, 53, 15096, 3093, 33994, 473, 457, 36660, 348, 628, 274, 254, 10902, 16268, 16, 188, 510, 46501, 21145, 14, 24030, 407, 39152, 2112, 11506, 14, 369, 11620, 282, 254, 1640, 743, 286, 14726, 22074, 457, 85, 7736, 9498, 387, 254, 374, 18, 19, 26, 4654, 276, 18692, 274, 42312, 46501, 663, 573, 248, 33645, 274, 4782, 7736, 26302, 16, 826, 802, 457, 85, 5557, 1747, 369, 6221, 7005, 428, 2421, 274, 3539, 15546, 324, 616, 7998, 3998, 7736, 9498, 18338, 2714, 28709, 13946, 4835, 3208, 394, 20374, 4687, 274, 3162, 21630, 6341, 258, 8228, 1838, 301, 407, 15243, 286, 15267, 15, 43, 1287, 7646, 457, 533, 5309, 843, 254, 1427, 2728, 17, 4119, 8681, 1127, 3579, 14, 343, 248, 1017, 2974, 3909, 286, 343, 1125, 9526, 17423, 7924, 4822, 14, 369, 580, 274, 254, 4442, 24656, 1773, 1540, 276, 254, 4953, 16, 25511, 432, 2537, 10218, 23702, 274, 254, 25662, 5008, 497, 10105, 3444, 407, 1449, 19854, 21348, 3360, 7315, 44971, 314, 2026, 7811, 11, 270, 14995, 4828, 7044, 6595, 303, 1380, 12205, 314, 5358, 15, 43, 1287, 11, 7646, 286, 15243, 21348, 3360, 5628, 7044, 5670, 314, 2026, 6953, 11, 15267, 15, 43, 1287, 7646, 4645, 276, 743, 8285, 5802, 1129, 3516, 16, 188, 24190, 7005, 428, 2421, 274, 3539, 15546, 286, 3093, 33994, 473, 457, 36660, 314, 24581, 1987, 22882, 274, 378, 3231, 53, 481, 188, 510, 378, 635, 10154, 21145, 14, 24030, 407, 32926, 276, 18692, 274, 8452, 378, 635, 10154, 311, 11620, 282, 254, 1640, 743, 286, 14726, 22074, 457, 85, 20117, 9498, 387, 254, 374, 18, 19, 26, 4654, 16, 826, 802, 457, 85, 5557, 1747, 369, 36704, 24471, 250, 20142, 428, 2421, 274, 418, 601, 23860, 324, 616, 20117, 18338, 2714, 52, 39680, 496, 15, 34342, 87, 41660, 274, 254, 1158, 3214, 268, 24923, 276, 401, 4789, 3719, 2147, 302, 945, 343, 248, 14117, 5604, 4755, 1270, 1234, 457, 533, 2448, 254, 2363, 274, 276, 15, 11866, 87, 1735, 2983, 324, 889, 387, 6442, 13084, 282, 4646, 254, 671, 286, 2042, 2258, 343, 3398, 33773, 1735, 16, 24984, 2109, 452, 9656, 282, 1263, 248, 15735, 282, 4947, 254, 2289, 274, 248, 31767, 6705, 387, 248, 6029, 14, 533, 311, 5503, 276, 14231, 695, 16719, 282, 254, 5672, 671, 1360, 14, 2228, 593, 2019, 626, 403, 641, 4095, 5445, 16, 188, 6630, 15235, 466, 24471, 250, 20142, 428, 2421, 274, 418, 601, 23860, 286, 3093, 33994, 473, 457, 36660, 314, 24581, 1987, 22882, 274, 378, 3231, 53, 481, 188, 3431, 1188, 1086, 324, 836, 763, 33880, 1339, 321, 1615, 378, 3231, 53, 2672, 343, 1637, 683, 607, 1090, 457, 2705, 276, 2209, 24698, 14, 1648, 7646, 18813, 20662, 2479, 532, 417, 1648, 5095, 13104, 16, 188, 510, 1569, 1799, 682, 457, 30175, 5614, 255, 21145, 37219, 14, 24030, 407, 13205, 14892, 14, 2449, 272, 4954, 324, 512, 29590, 274, 254, 378, 3231, 53, 24785, 29123, 286 ]
[ 1, 11486, 1879, 362, 5934, 1532, 314, 285, 1873, 348, 16650, 276, 4182, 9258, 11, 29420, 3672, 248, 10800, 867, 274, 32048, 14025, 254, 362, 5934, 1532, 17669, 2611, 16, 731, 476, 321, 900, 282, 1916, 1015, 3395, 274, 4742, 28, 38900, 28798, 4742, 14, 362, 5934, 1532, 22736, 10088, 15, 250, 14, 11519, 5493, 14, 6879, 4742, 14, 4622, 4742, 16, 731, 311, 7353, 9340, 1726, 348, 624, 286, 624, 31272, 2411, 338, 18, 18, 7, 7306, 1013, 343, 362, 5934, 1532, 16, 188, 1516, 3802, 30748, 282, 25897, 254, 1640, 8112, 324, 6507, 4742, 960, 16650, 286, 362, 5934, 1532, 8755, 16, 310, 756, 3709, 836, 2107, 282, 254, 4742, 4131, 328, 1708, 274, 16650, 286, 362, 5934, 1532, 8755, 16, 380, 11979, 1640, 8112, 324, 2809, 2363, 403, 1311, 4475, 282, 254, 2251, 274, 633, 2133, 14, 532, 417, 276, 254, 7780, 274, 436, 3899, 16, 188, 2432, 403, 1125, 1640, 8112, 324, 1004, 628, 274, 254, 32048, 14, 324, 1610, 22521, 14, 5553, 14, 2288, 4184, 14, 3838, 16, 839, 2468, 3709, 729, 512, 1045, 14, 532, 2536, 254, 1708, 338, 18, 327, 2563, 282, 944, 11924, 254, 944, 348, 3517, 16, 188, 2432, 403, 593, 1125, 4462, 324, 436, 282, 321, 1800, 19, 1640, 3819, 512, 276, 512, 16, 826, 3998, 310, 1652, 272, 4436, 432, 618, 24625, 663, 555, 248, 5114, 343, 338, 18, 14, 18, 18, 18, 655, 12470, 282, 321, 7110, 16, 1547, 961, 282, 4672, 254, 2949, 931, 274, 655, 12470, 532, 4328, 254, 362, 37849, 16, 1334, 282, 3425, 254, 655, 12470, 286, 751, 2949, 931, 670, 688, 274, 729, 2055, 432, 580, 3064, 282, 1495, 33, 380, 23947, 286, 1640, 1026, 282, 513, 353, 311, 436, 1800, 19, 16, 188, 29200, 624, 5011, 995, 683, 15032, 58, 390, 15032, 20770, 16, 188, 27302, 4184, 343, 1956, 4458, 683, 1125, 11824, 282, 1004, 15032, 58, 17, 1384, 20770, 248, 362, 21307, 25221, 16, 188, 34975, 12200, 274, 7306, 10400, 670, 596, 2055, 1444, 276, 633, 7306, 931, 3925, 16, 188, 34284, 1701, 456, 1460, 756, 2066, 276, 362, 21307, 16, 188, 2231, 7461, 668, 254, 2629, 273, 830, 1015, 15032, 58, 17, 1384, 20770, 14491, 403, 1225, 16, 380, 362, 21307, 3809, 1521, 274, 254, 5498, 9258, 274, 4233, 29108, 16, 188, 2432, 3432, 457, 86, 1181, 2949, 5585, 407, 12519, 282, 1999, 4233, 29108, 1544, 374, 16, 23, 16, 188, 9654, 14, 368, 961, 282, 3570, 3208, 17599, 32048, 16, 380, 16650, 286, 362, 5934, 1532, 3462, 22809, 687, 671, 14, 593, 513, 254, 32048, 16, 3683, 274, 254, 32048, 751, 29567, 670, 743, 16319, 1663, 561, 16, 1664, 1856, 457, 86, 321, 665, 8758, 3373, 328, 633, 2809, 14, 348, 254, 29567, 32048, 403, 1311, 30843, 16, 5891, 254, 671, 14, 836, 29567, 32048, 587, 12877, 3298, 561, 16, 1838, 321, 44350, 276, 13454, 324, 254, 2462, 16, 188, 15341, 29420, 374, 16, 23, 555, 624, 683, 374, 18, 18, 9084, 3395, 16, 5650, 5955, 248, 1479, 274, 4293, 14, 286, 6382, 1460, 324, 1949, 18374, 286, 31938, 16, 331, 16011, 254, 34037, 2701, 633, 2809, 624, 9969, 16, 5671, 327, 254, 539, 2375, 274, 37530, 40, 1867, 311, 841, 254, 37530, 5173, 276, 8371, 4355, 368, 1038, 457, 86, 452, 282, 5667, 353, 16, 1268, 387, 254, 5114, 1874, 14, 368, 513, 452, 282, 5667, 353, 348, 1033, 9084, 1479, 10674, 943, 432, 37332, 5173, 3468, 390, 21064, 16, 188, 5125, 16580, 931, 30682, 633, 2949, 286, 1649, 7767, 328, 254, 4622, 16, 826, 311, 3233, 1972, 670, 368, 4540, 282, 362, 21307, 533, 21463, 248, 2187, 274, 5351, 14, 931, 24477, 286, 4184, 785, 16, 12077, 633, 8755, 8325, 14, 353, 457, 85, 6397, 9734, 2102, 16, 1395, 1038, 457, 86, 961, 282, 687, 7767, 353, 286, 3355, 1051, 1789, 16, 188, 9534, 14886, 756, 748, 457, 85, 1339, 15, 927, 15, 9541, 14, 417, 5167, 15, 927, 15, 9541, 16, 188, 10653, 756, 2304, 254, 4091, 931, 533, 2427, 457, 86, 1767, 387, 512, 390, 2427, 457, 86, 1767, 1285, 248, 6692, 5089, 33086, 16, 188, 510, 14922, 10653, 264, 311, 248, 1062, 4311, 7110, 1740, 276, 254, 29420, 16, 731, 457, 85, 2155, 6250, 532, 669, 1062, 1837, 282, 889, 16, 330, 2187, 274, 3418, 276, 254, 3015, 403, 2815, 282, 353, 16, 380, 4569, 6783, 311, 3837, 1017, 16, 4801, 324, 254, 7212, 11924, 14, 353, 457, 85, 9394, 3364, 282, 321, 10676, 343, 7077, 3277, 747, 31832, 3083, 16, 188, 9334, 593, 14, 626, 311, 641, 8545, 432, 436, 14922, 10653, 264, 974, 353, 457, 85, 2674, 254, 756, 1026, 282, 751, 3487, 432, 665, 7110, 1740, 16, 1286, 368, 1038, 457, 86, 889, 4817, 77, 943, 348, 8298, 14, 368, 452, 282, 889, 254, 8755, 3468, 16, 188, 12904, 311, 1495, 1726, 286, 7541, 900, 7110, 1740, 16, 39423, 688, 314, 23, 18, 14605, 2983, 1076, 4598, 248, 17033, 1740, 14, 960, 533, 368, 476, 3425, 254, 4631, 16, 330, 4686, 1740, 555, 1062, 3587, 1464, 671, 343, 668, 338, 18, 2819, 16, 2646, 327, 14, 368, 2468, 1041, 665, 1052, 282, 353, 3468, 390, 21064, 314, 1507, 1610, 14, 960, 254, 14922, 10653, 264, 282, 751, 695, 2779, 481, 1395, 452, 282, 889, 9289, 10653, 264, 324, 665, 9243, 8663, 16, 188, 30814, 1091, 6524, 324, 436, 16, 1260, 1845, 368, 4212, 353, 977, 328, 254, 1450, 16, 1800, 22, 311, 580, 274, 254, 1794, 16049, 360, 915, 670, 12287, 403, 3532, 8441, 5322, 19068, 9127, 959, 2129, 188, 634, 1157, 1140, 31136, 310, 1038, 457, 86, 465, 627, 843, 282, 5053, 8755, 4960, 954, 1256, 3963, 33, 0, 1031, 344, 484, 264, 322, 13728, 7591, 5962, 374, 18, 19, 24, 7126, 587, 5357, 248, 4800, 3694, 869, 10798, 45, 706, 14566, 2278, 25515, 16, 4978, 4532, 327, 774, 4683, 254, 10869, 403, 34319, 14, 378, 4210, 14, 5207, 45, 286, 367, 8196, 16, 188, 686, 254, 1364, 29484, 12002, 276, 374, 18, 19, 22, 14, 436, 7591, 8005, 573, 1635, 254, 14566, 2278, 25515, 7236, 610, 16, 2323, 357, 44756, 248, 1157, 1394, 274, 1444, 338, 22, 24, 26, 24, 24, 12652, 16 ]
[ 1, 387, 836, 11079, 587, 513, 248, 1247, 2545, 274, 1665, 2886, 633, 22417, 286, 254, 2949, 18151, 432, 1438, 432, 848, 282, 338, 20, 9625, 311, 417, 1247, 2151, 282, 7304, 254, 4325, 2042, 16, 188, 510, 399, 5773, 13789, 327, 310, 452, 4131, 452, 22558, 972, 286, 652, 2175, 2622, 428, 23, 18, 28483, 69, 597, 282, 607, 21206, 286, 38639, 282, 428, 22, 18, 28483, 69, 387, 338, 18, 21206, 16, 31570, 338, 18, 21206, 254, 356, 67, 2116, 652, 2175, 1663, 597, 282, 254, 428, 20, 18, 28483, 69, 1245, 286, 1242, 282, 3073, 2622, 254, 26923, 4155, 16, 1180, 1610, 387, 338, 24, 21206, 3340, 4155, 14, 254, 6081, 18978, 828, 34704, 311, 2602, 1444, 607, 21206, 16, 188, 510, 6131, 8657, 324, 254, 399, 5773, 311, 2449, 432, 248, 576, 18, 21206, 14, 45203, 26998, 16, 1993, 347, 37, 5282, 4, 9513, 2317, 403, 1062, 1656, 2042, 286, 5271, 7692, 282, 963, 1525, 470, 16, 18, 19, 7536, 380, 8657, 311, 748, 5085, 254, 7673, 7009, 274, 254, 3340, 4155, 16, 2807, 960, 248, 470, 16, 18, 19, 7, 26998, 254, 3340, 4155, 587, 321, 1525, 11305, 19, 18, 18, 18, 14467, 670, 26923, 387, 338, 18, 21206, 16, 188, 510, 1423, 2416, 22448, 311, 254, 1062, 4489, 367, 1811, 2868, 432, 12409, 17894, 10501, 314, 1731, 395, 2081, 14, 29778, 481, 731, 369, 6596, 974, 353, 311, 248, 7573, 347, 21163, 32532, 4, 4242, 286, 353, 434, 1062, 1656, 2363, 286, 1305, 2042, 16, 310, 4131, 248, 3316, 2363, 975, 1648, 248, 33235, 14, 801, 2210, 331, 3511, 6553, 210, 286, 11830, 444, 6059, 255, 324, 758, 370, 20, 18, 18, 16, 18, 18, 16, 188, 510, 4105, 403, 12110, 2066, 286, 670, 254, 295, 14582, 35056, 3395, 403, 900, 596, 476, 321, 42984, 286, 900, 687, 959, 276, 642, 6319, 16, 188, 3912, 274, 254, 9889, 2704, 274, 254, 338, 24, 37, 25, 19, 2725, 900, 311, 327, 353, 311, 1062, 3364, 282, 2024, 254, 2725, 324, 23538, 20, 21, 20, 10112, 5351, 960, 756, 495, 19745, 282, 254, 3064, 5414, 16, 380, 338, 24, 37, 25, 19, 669, 4288, 248, 1694, 4897, 14, 848, 2298, 4662, 330, 17, 38, 23867, 16, 188, 510, 4893, 4116, 274, 254, 1453, 50, 311, 282, 1218, 13519, 432, 254, 23538, 20, 21, 20, 2176, 286, 867, 254, 2520, 4155, 14, 2520, 286, 11145, 20319, 2317, 286, 1218, 254, 11145, 3340, 31540, 314, 56, 570, 254, 367, 1811, 434, 4131, 276, 330, 17, 38, 23867, 481, 330, 1330, 331, 2024, 369, 3427, 282, 4521, 46720, 13519, 432, 254, 23538, 20, 21, 20, 1360, 286, 867, 254, 4426, 9625, 1017, 390, 1656, 328, 254, 367, 1811, 434, 3340, 23096, 16, 13157, 3571, 1116, 1182, 1152, 311, 8774, 407, 10160, 888, 272, 46436, 1839, 11865, 12, 3291, 841, 1004, 8158, 1218, 3797, 16, 1286, 254, 26848, 869, 254, 5414, 286, 254, 367, 1811, 311, 6965, 324, 665, 1865, 254, 5414, 476, 835, 3177, 254, 2160, 286, 501, 22363, 899, 254, 5495, 16, 188, 2943, 6324, 387, 576, 21206, 254, 1575, 29605, 311, 811, 248, 1603, 279, 3261, 11134, 286, 254, 23538, 20, 21, 20, 4458, 476, 9929, 34427, 387, 248, 2546, 890, 24, 18, 18, 271, 5195, 16, 188, 510, 4662, 14, 576, 4897, 330, 17, 38, 23867, 274, 254, 338, 24, 37, 25, 19, 2725, 2701, 353, 3364, 282, 751, 931, 432, 254, 1491, 1499, 286, 4856, 353, 2049, 254, 23538, 20, 21, 20, 713, 254, 5414, 324, 5009, 16, 188, 510, 11343, 274, 1656, 2042, 14, 5751, 331, 210, 286, 19639, 509, 29446, 210, 324, 836, 3963, 669, 2034, 327, 368, 1038, 625, 872, 282, 2941, 2486, 1495, 7591, 3335, 282, 1649, 836, 26055, 282, 785, 16, 1395, 476, 785, 276, 248, 9587, 1017, 1245, 3335, 3082, 16, 188, 4387, 2211, 836, 3357, 807, 452, 643, 8774, 343, 2630, 248, 13003, 12996, 9071, 16206, 286, 254, 898, 650, 452, 643, 254, 1057, 16, 1268, 254, 2150, 286, 3532, 671, 369, 2541, 432, 248, 2065, 282, 811, 272, 8820, 960, 254, 367, 1811, 2416, 22448, 16, 188, 510, 1575, 6015, 311, 593, 4800, 3461, 327, 353, 2427, 625, 10413, 1002, 872, 28524, 16, 330, 374, 23, 5874, 3925, 30876, 38177, 314, 15299, 432, 13570, 1572, 471, 11, 311, 900, 282, 2023, 440, 9821, 11305, 338, 25, 1880, 1601, 282, 254, 1241, 8130, 21132, 16, 188, 510, 756, 2115, 274, 2628, 3751, 1045, 311, 327, 254, 19196, 900, 324, 254, 558, 23, 5874, 3340, 933, 321, 254, 9394, 7692, 21100, 7253, 20, 7, 390, 1755, 11, 1479, 7414, 16, 826, 311, 974, 254, 19196, 311, 900, 282, 1575, 254, 2416, 22448, 286, 254, 2416, 22448, 4504, 436, 6540, 348, 248, 3681, 324, 353, 434, 4662, 330, 17, 38, 23867, 16, 731, 311, 11103, 282, 1920, 436, 6540, 348, 2722, 282, 607, 1880, 1601, 348, 1841, 282, 1920, 254, 7663, 2413, 274, 254, 28352, 17803, 16, 188, 510, 558, 23, 5874, 19196, 933, 321, 10594, 282, 248, 1330, 4112, 15886, 348, 353, 17813, 682, 688, 1575, 1899, 282, 254, 558, 19, 25, 1880, 1601, 387, 353, 434, 3175, 16, 188, 10072, 274, 254, 13789, 403, 1303, 25818, 286, 476, 321, 4131, 276, 811, 668, 665, 1026, 368, 961, 16, 310, 4131, 512, 274, 618, 13789, 347, 36, 1073, 4552, 4, 3616, 328, 1330, 7242, 274, 13906, 44175, 41744, 16, 380, 13906, 44175, 3290, 248, 11322, 3112, 6243, 286, 254, 13789, 403, 4131, 495, 15, 17639, 2375, 594, 1788, 254, 4310, 16, 188, 43, 4131, 254, 2520, 286, 11145, 13789, 328, 1330, 7242, 274, 13906, 44175, 327, 4793, 276, 1330, 16963, 12431, 274, 254, 1479, 327, 13570, 1572, 471, 26965, 16, 380, 1330, 29018, 17358, 4603, 545, 10212, 254, 6324, 13789, 286, 1949, 1336, 282, 4646, 254, 5876, 5100, 16, 188, 510, 11145, 13789, 872, 688, 2628, 1521, 670, 3532, 2228, 16, 16457, 9801, 432, 254, 3175, 282, 254, 11145, 282, 254, 3175, 274, 254, 8740, 24, 18, 22, 311, 248, 1339, 603, 368, 403, 1438, 282, 4962, 254, 719, 18, 28483, 7663, 2413, 1841, 343, 436, 2150, 16, 4772, 274, 254, 1017, 26898, 2237, 1045, 314, 779, 8740, 24, 18, 22, 555, 248 ]
[ 1, 188, 8450, 877, 3611, 254, 3471, 274, 254, 6503, 980, 286, 3097, 265, 282, 26996, 14, 663, 7360, 713, 3479, 877, 457, 85, 760, 85, 2725, 16, 188, 1590, 45085, 1397, 3479, 877, 3611, 272, 30979, 4179, 16, 188, 1590, 5338, 457, 86, 321, 1034, 16, 7560, 1397, 3479, 877, 1815, 701, 3611, 310, 4308, 1939, 43666, 457, 85, 4179, 14, 532, 7002, 701, 8487, 457, 86, 16, 1469, 47905, 15677, 1711, 282, 2615, 254, 7621, 282, 254, 2141, 28366, 413, 9412, 1063, 10638, 248, 1116, 561, 282, 26996, 16, 188, 1590, 39211, 457, 86, 1242, 561, 348, 254, 30434, 274, 254, 5945, 2795, 482, 14, 852, 368, 7518, 1469, 332, 339, 1055, 248, 21829, 283, 670, 701, 3611, 15677, 1711, 3770, 27970, 16, 188, 29164, 335, 11577, 616, 1450, 38337, 16, 188, 8450, 877, 3611, 15677, 1711, 3541, 888, 343, 254, 4500, 593, 1656, 327, 756, 3479, 877, 457, 85, 8429, 21111, 807, 2536, 353, 597, 16, 188, 5338, 2011, 14, 26996, 14, 286, 31759, 1102, 3622, 2731, 387, 254, 33758, 274, 1963, 286, 3732, 16, 25834, 22969, 16, 380, 3132, 22135, 16, 12102, 16736, 348, 14685, 22908, 286, 19219, 16, 310, 4308, 13883, 14, 663, 807, 1477, 324, 31759, 16, 380, 610, 7235, 252, 2380, 28, 418, 45004, 40033, 1085, 14, 610, 8211, 500, 264, 15, 8450, 286, 16073, 15, 8450, 16, 380, 1572, 792, 286, 500, 792, 28, 1201, 8810, 286, 27118, 7296, 25000, 16, 6221, 23684, 16, 12456, 286, 29203, 18481, 28, 254, 3132, 286, 1615, 3093, 16, 401, 366, 16, 1223, 580, 624, 16, 188, 18398, 2795, 482, 6459, 254, 3797, 3925, 286, 254, 19972, 28882, 5260, 16, 188, 1590, 38, 14818, 7518, 26996, 29679, 16, 769, 1931, 368, 457, 251, 3720, 11288, 2552, 14, 1081, 5252, 1865, 286, 26590, 13039, 616, 3277, 16, 769, 43, 457, 79, 6829, 16, 3826, 310, 865, 748, 34111, 3428, 16, 310, 457, 79, 26996, 7296, 14, 254, 24375, 559, 274, 618, 1499, 1397, 1469, 7602, 2828, 561, 248, 1116, 16, 188, 1590, 44063, 7296, 1397, 750, 9325, 343, 11333, 16, 769, 50, 283, 828, 282, 2445, 368, 1397, 750, 2263, 616, 1116, 2778, 395, 3428, 248, 26512, 16, 188, 8450, 877, 8812, 520, 11132, 16, 1395, 1872, 353, 1480, 14, 1038, 457, 86, 368, 33, 1395, 1872, 747, 368, 457, 251, 16817, 387, 633, 1193, 14558, 14, 286, 368, 1038, 457, 86, 865, 2075, 16, 188, 510, 1572, 386, 275, 418, 1078, 4761, 14, 3093, 16, 500, 13314, 4400, 616, 4710, 254, 496, 379, 4956, 713, 254, 2126, 2599, 551, 16, 6236, 520, 8147, 14, 345, 34379, 343, 12456, 18481, 14, 254, 3326, 3093, 16, 401, 366, 286, 1615, 1572, 1345, 313, 43284, 16, 19475, 14, 596, 9874, 254, 1241, 286, 2287, 615, 1508, 888, 282, 3479, 877, 286, 17064, 16, 188, 44063, 457, 85, 45447, 2350, 597, 16, 15554, 4576, 16, 771, 27473, 22015, 16, 188, 43, 452, 282, 915, 436, 16, 3479, 877, 41907, 282, 5803, 16, 826, 587, 321, 4576, 16, 14685, 22908, 4488, 16, 24375, 559, 16, 2552, 248, 7621, 2362, 254, 2244, 7078, 616, 3983, 16, 188, 13747, 929, 31188, 286, 596, 2950, 248, 8691, 1988, 2743, 616, 3277, 16, 188, 1590, 43, 457, 619, 321, 977, 888, 1397, 31759, 7233, 282, 830, 26996, 6054, 16, 2646, 248, 1603, 7061, 14, 701, 4744, 16, 188, 1590, 3992, 14, 360, 476, 563, 1397, 1469, 6459, 8705, 1022, 286, 27118, 286, 310, 4308, 3444, 616, 16, 188, 8450, 877, 7233, 282, 254, 3383, 16, 17097, 336, 1198, 494, 14, 701, 1311, 3428, 248, 26512, 16, 188, 38, 8730, 6054, 742, 282, 34111, 457, 85, 1874, 14, 42750, 387, 616, 16, 188, 1590, 43, 5565, 310, 7002, 1397, 34111, 658, 320, 1055, 16, 188, 1590, 8177, 368, 14, 32028, 1397, 34111, 7406, 254, 24797, 16, 188, 29164, 335, 11958, 561, 14, 19567, 27102, 16, 13794, 273, 616, 2849, 4264, 15677, 1711, 14, 1201, 8810, 30156, 3353, 254, 2784, 3306, 16, 380, 3132, 5194, 15, 27623, 5607, 16, 23298, 1495, 7385, 324, 479, 16, 1268, 593, 1015, 432, 254, 1515, 274, 441, 16, 310, 2033, 27118, 14, 532, 310, 1038, 457, 86, 2033, 368, 16, 1223, 310, 457, 79, 417, 2056, 310, 747, 368, 16, 188, 1590, 1212, 1606, 282, 452, 17252, 3136, 272, 8223, 1397, 26996, 25129, 282, 15677, 1711, 16, 188, 1590, 2976, 977, 1397, 15677, 1711, 41907, 16, 769, 4816, 417, 7518, 1547, 7233, 561, 274, 254, 3609, 9259, 16, 188, 3602, 1102, 3622, 758, 248, 31633, 274, 6950, 286, 3297, 615, 652, 275, 800, 14, 1205, 254, 9146, 92, 786, 3156, 328, 432, 9884, 16, 188, 13718, 1072, 1659, 14, 32028, 3156, 1051, 387, 254, 3694, 16, 15677, 1711, 573, 1143, 272, 9464, 42291, 2160, 286, 1102, 5803, 11733, 939, 254, 2257, 16, 26996, 12946, 44741, 324, 616, 282, 16010, 742, 254, 3071, 21273, 16, 4814, 609, 14, 15677, 1711, 39173, 26996, 713, 254, 6950, 16, 15677, 1711, 45519, 616, 1827, 15, 8296, 14, 532, 417, 4400, 2151, 286, 26996, 18777, 616, 561, 274, 254, 5049, 16, 188, 1590, 3916, 368, 2033, 748, 368, 457, 251, 6349, 33, 1469, 5182, 248, 21161, 274, 23200, 92, 1448, 1269, 960, 616, 5945, 2795, 482, 16, 1469, 900, 616, 4609, 286, 3759, 14, 618, 13841, 14, 286, 254, 6750, 701, 6139, 432, 616, 10274, 3224, 16, 1223, 327, 369, 353, 1397, 1469, 658, 320, 1055, 16, 769, 2943, 369, 254, 1364, 671, 27118, 5325, 248, 3260, 1269, 960, 616, 8898, 33, 2141, 1201, 8810, 33, 2141, 368, 33, 1691, 4448, 282, 254, 636, 663, 41205, 327, 345, 650, 1582, 2411, 520, 8898, 7518, 3479, 877, 12148, 276, 248, 9229, 6173, 16, 188, 2899, 3156, 597, 387, 775, 343, 248, 1247, 30764, 276, 616, 2836, 16, 188, 8450, 877, 41614, 282, 3575, 254, 652, 275, 800, 16, 380, 24375, 559, 573, 1143, 248, 4372, 2160, 1111, 264, 593, 353, 5260, 16, 15677, 1711, 2263, 5585, 14, 532, 254, 24375, 559, 12036, 1181, 624, 4400, 683, 701, 933, 452, 16, 188, 35900, 1711, 3428, 20483, 46204, 3437, 616, 2482, 16, 310, 457, 307, 643, 8389, 747, 310, 457, 79, 254, 8706, 21483, 16, 310, 452, 282, 5757, 618, 687, 38402, 16 ]
[ 1, 273, 330, 1838, 588, 18823, 2147, 1407, 1180, 512, 1093, 8578, 16487, 2873, 663, 403, 5983, 254, 10840, 1767, 1171, 432, 15335, 1013, 4767, 888, 282, 2546, 4829, 5779, 14, 12055, 254, 11057, 286, 23041, 274, 960, 248, 30711, 3686, 2342, 311, 3061, 254, 6593, 3798, 16, 2028, 9567, 274, 11264, 286, 43095, 24537, 1754, 688, 1479, 274, 3944, 3686, 4205, 14, 353, 476, 321, 417, 5503, 14, 532, 324, 1125, 8578, 16487, 2873, 14, 353, 1503, 5440, 321, 248, 12557, 3109, 12581, 254, 1026, 324, 368, 282, 12209, 19784, 16, 380, 5322, 327, 4955, 282, 321, 3443, 387, 607, 18, 2476, 1026, 8841, 403, 1062, 2013, 282, 327, 274, 16285, 532, 7004, 974, 596, 7834, 368, 248, 2187, 624, 15400, 282, 27919, 633, 1362, 15, 927, 15, 1183, 14486, 14, 368, 1797, 254, 8758, 4688, 282, 751, 748, 327, 368, 403, 12055, 286, 3250, 729, 282, 1491, 5157, 1464, 9282, 16, 7648, 373, 4760, 274, 1826, 368, 4955, 282, 321, 26879, 390, 417, 1525, 633, 5157, 40669, 14, 368, 807, 1852, 633, 4566, 888, 282, 248, 11474, 286, 27687, 10542, 830, 633, 41010, 14, 3615, 5537, 14, 390, 29215, 1503, 1336, 368, 8943, 353, 16, 4539, 512, 274, 254, 11057, 14, 580, 274, 254, 944, 1157, 24919, 327, 942, 5353, 311, 327, 368, 4126, 254, 11401, 22653, 3026, 16, 2514, 328, 254, 27799, 3829, 4156, 274, 10344, 343, 254, 1767, 1171, 713, 14020, 4326, 311, 2304, 2304, 624, 9999, 254, 23839, 274, 580, 434, 6071, 14, 7541, 3690, 16, 21040, 6494, 476, 811, 2023, 368, 343, 8372, 939, 254, 2008, 596, 2445, 1002, 2101, 642, 16285, 5322, 476, 2042, 2917, 248, 1247, 2874, 624, 8688, 16, 15695, 273, 3468, 282, 633, 2779, 6071, 14, 3614, 14, 476, 321, 3837, 10840, 348, 1770, 286, 2185, 561, 274, 633, 1985, 807, 37446, 282, 1519, 368, 1707, 328, 254, 1026, 276, 533, 368, 3608, 282, 2411, 14, 286, 1582, 276, 8726, 343, 254, 1748, 1408, 327, 368, 403, 13382, 282, 1709, 282, 321, 16, 826, 476, 417, 756, 321, 3657, 42203, 324, 775, 390, 616, 14, 2228, 353, 1503, 321, 3657, 20990, 324, 368, 11380, 348, 327, 368, 403, 2731, 282, 867, 597, 633, 6949, 15, 1775, 2570, 16, 2028, 3089, 248, 997, 387, 248, 24998, 12558, 14, 368, 872, 282, 1852, 327, 1707, 328, 633, 5266, 14, 248, 30711, 12558, 311, 13930, 248, 1479, 274, 3615, 4767, 286, 311, 7411, 624, 2156, 683, 417, 18632, 407, 11405, 6329, 16, 1795, 3975, 274, 1770, 286, 2185, 663, 1663, 561, 274, 1914, 12967, 254, 17266, 6437, 327, 596, 452, 282, 977, 1919, 1663, 2362, 1323, 286, 1242, 32725, 2626, 327, 28187, 248, 6685, 14486, 16, 2807, 5342, 273, 713, 248, 607, 18, 2476, 1026, 2779, 14, 1002, 2101, 14, 368, 1441, 2041, 282, 24473, 16313, 32651, 713, 4829, 5779, 959, 286, 28478, 254, 977, 1802, 888, 713, 10334, 785, 7103, 327, 633, 6329, 6844, 587, 2874, 343, 14, 387, 254, 1062, 1824, 14, 248, 10431, 274, 254, 32725, 11889, 16, 4539, 512, 254, 7589, 274, 3686, 276, 30711, 8841, 14, 407, 2019, 254, 944, 27641, 2443, 311, 327, 353, 17329, 3032, 747, 1914, 16, 1395, 4955, 282, 321, 7017, 5503, 282, 19504, 248, 3954, 286, 28490, 282, 2342, 4653, 286, 9865, 14, 533, 1503, 2408, 1789, 747, 34556, 282, 9565, 10089, 7051, 5022, 286, 14874, 276, 1361, 9633, 16, 2028, 436, 1623, 311, 5440, 24970, 324, 2996, 327, 555, 5035, 2084, 593, 1837, 324, 1125, 1125, 1090, 282, 3217, 276, 888, 615, 6995, 282, 27919, 974, 596, 1041, 2056, 368, 14, 353, 7573, 311, 3061, 248, 9366, 5360, 12454, 683, 30023, 282, 3051, 758, 254, 5255, 12570, 274, 254, 11264, 286, 7212, 29215, 387, 272, 276, 15, 14900, 3925, 16, 330, 5758, 274, 276, 248, 13347, 2476, 1026, 1683, 14, 353, 434, 1841, 282, 452, 248, 2591, 5157, 1464, 286, 7798, 343, 1794, 1770, 286, 2185, 1525, 248, 5081, 274, 15569, 16, 188, 38818, 7589, 274, 22454, 1089, 8832, 16540, 1260, 5012, 432, 254, 15645, 4132, 14, 248, 24998, 1683, 311, 3837, 1181, 811, 747, 248, 2951, 327, 7526, 34257, 254, 7825, 15552, 8285, 17845, 16992, 328, 580, 1748, 1116, 830, 29250, 363, 1688, 311, 8610, 286, 669, 254, 9259, 282, 1663, 888, 282, 254, 4603, 8304, 5157, 1464, 327, 4279, 580, 1748, 888, 959, 713, 254, 2211, 274, 254, 6685, 6071, 1444, 254, 642, 1116, 16, 3730, 457, 85, 248, 16032, 328, 254, 12495, 2675, 7589, 47013, 276, 254, 1914, 4466, 2449, 939, 254, 30711, 9648, 16, 11364, 248, 3073, 28, 3845, 286, 8398, 5585, 774, 321, 254, 13494, 286, 4236, 274, 19784, 4061, 407, 811, 248, 30711, 3686, 1683, 16, 1260, 3402, 348, 2996, 12450, 266, 432, 10089, 5226, 8813, 286, 5628, 10089, 21429, 407, 2034, 274, 4479, 17130, 2766, 19536, 14, 353, 311, 2602, 9308, 254, 32056, 942, 3673, 513, 417, 1619, 729, 11028, 1595, 713, 665, 1479, 274, 2002, 281, 2178, 533, 476, 1916, 41549, 2435, 286, 1619, 254, 19784, 387, 5274, 16, 1260, 15028, 348, 254, 33592, 13455, 5686, 4424, 14, 254, 3278, 671, 671, 2114, 324, 533, 272, 1999, 4279, 282, 3351, 276, 248, 30711, 390, 7462, 1903, 2779, 311, 1241, 282, 2712, 248, 1603, 2524, 387, 254, 944, 16, 380, 7462, 1903, 1683, 3351, 311, 9377, 1544, 353, 4279, 4073, 8441, 324, 17246, 7160, 16, 380, 948, 311, 436, 1623, 311, 580, 274, 254, 3505, 3357, 274, 254, 30711, 3686, 9648, 14, 282, 5559, 254, 2766, 1903, 274, 254, 15708, 16, 23901, 254, 5062, 18522, 10596, 16418, 274, 755, 71, 286, 5395, 2531, 3415, 328, 254, 25645, 282, 1041, 2056, 327, 5139, 274, 836, 311, 19122, 665, 31644, 33813, 390, 12022, 665, 624, 16, 380, 1527, 4305, 274, 5585, 960, 254, 7160, 1683, 16992, 650, 321, 254, 3979, 274, 5098, 16, 2028, 272, 31644, 390, 272, 23436, 29688, 9470, 276, 254, 3758, 274, 254, 19784, 1213, 14, 345, 311, 276, 248, 1350, 4414, 830, 345, 555, 46118, 1002, 254, 1824, 2332, 274, 5846, 274, 520, 3258, 1464, 16, 496, 819, 5819, 254, 44650, 12287, 3858, 248, 1110, 561, 274, 12209, 23420, 4414, 830, 580, 274, 254, 944, 1330, 3360, 276, 254, 19064, 8631, 476, 2759, 20411, 24970, 1508, 328 ]
[ 1, 86, 872, 282, 3236, 324, 272, 769, 12899, 2114, 666, 390, 769, 5318, 3407, 666, 282, 751, 1438, 16, 1547, 476, 17065, 772, 2896, 2456, 286, 3017, 23850, 328, 615, 2349, 16, 188, 20, 11, 1180, 8136, 286, 2318, 330, 36305, 14, 360, 1674, 432, 370, 23, 18, 18, 77, 282, 370, 23, 2945, 14, 1862, 729, 2218, 282, 254, 32448, 4994, 14, 286, 785, 343, 729, 939, 10192, 16, 188, 1843, 1205, 436, 311, 254, 2025, 2522, 14, 360, 669, 2780, 276, 9888, 772, 1193, 4653, 16, 10789, 8549, 872, 1015, 1789, 387, 1015, 2008, 14, 593, 360, 34856, 254, 13716, 58, 2705, 1707, 328, 248, 32431, 457, 872, 16, 826, 311, 254, 2169, 274, 18334, 5715, 360, 457, 70, 452, 2980, 670, 360, 497, 4832, 4273, 16, 188, 6128, 747, 254, 11535, 36305, 360, 1674, 276, 14, 360, 587, 1920, 44239, 286, 4400, 9773, 834, 16, 380, 3585, 28760, 311, 1582, 272, 4360, 16, 188, 510, 671, 311, 1012, 282, 1767, 843, 8213, 2317, 751, 14199, 1849, 417, 811, 276, 254, 1564, 274, 32431, 3622, 14, 532, 669, 276, 254, 1564, 274, 254, 2774, 3015, 286, 254, 4022, 4631, 360, 3373, 16, 188, 1853, 248, 3015, 14, 772, 2472, 328, 254, 1499, 3798, 311, 1480, 1247, 14, 286, 772, 2365, 3373, 4417, 1480, 1017, 282, 513, 4859, 16, 188, 17921, 11267, 4443, 311, 580, 274, 33140, 10663, 457, 85, 30816, 9804, 276, 3017, 286, 2896, 2456, 16, 750, 457, 85, 248, 1694, 15, 2523, 10112, 22966, 14, 286, 248, 36343, 274, 2525, 15, 19818, 3106, 14, 248, 17, 68, 5022, 14, 23807, 39295, 14, 9645, 8899, 14, 286, 34639, 642, 3017, 5445, 16, 188, 50, 16149, 41111, 311, 254, 815, 15, 30320, 286, 5444, 348, 11413, 274, 1501, 336, 570, 14, 580, 274, 2966, 457, 85, 944, 44830, 2703, 29272, 14, 432, 38121, 1863, 695, 23583, 343, 1472, 408, 320, 276, 374, 18, 19, 23, 387, 248, 370, 21, 16, 23, 6320, 28534, 16, 750, 369, 669, 328, 254, 22822, 2214, 274, 1364, 15075, 16, 679, 533, 369, 9043, 407, 20197, 22961, 17, 53, 358, 251, 45015, 324, 687, 370, 19, 378, 2146, 16, 188, 41, 31810, 43290, 15, 1212, 737, 311, 580, 274, 4990, 457, 85, 1708, 12591, 14, 248, 763, 15, 2523, 11413, 14, 286, 10112, 14794, 16, 750, 311, 254, 815, 15, 30320, 274, 9956, 86, 11506, 14, 533, 369, 9043, 407, 4002, 41162, 1209, 42762, 1020, 324, 370, 22, 16, 22, 378, 2146, 16, 0, 1128, 7109, 21400, 9852, 311, 18415, 282, 1093, 663, 5565, 282, 1916, 615, 1193, 1683, 16, 1268, 272, 7109, 21400, 9852, 311, 417, 2696, 276, 254, 1057, 1026, 348, 248, 2546, 4987, 390, 3532, 9852, 670, 368, 889, 248, 9595, 21400, 16, 188, 1128, 7109, 21400, 311, 2840, 348, 248, 1408, 663, 20534, 615, 1193, 1683, 328, 615, 2575, 14, 286, 663, 1042, 417, 2120, 248, 3532, 7771, 16, 25147, 476, 2411, 272, 7109, 21400, 532, 626, 403, 1015, 9347, 867, 561, 324, 1004, 1350, 274, 6789, 16, 11648, 633, 1350, 2142, 6093, 368, 1339, 4503, 324, 248, 9404, 286, 276, 688, 2957, 3316, 272, 7109, 21400, 2211, 16, 188, 1516, 311, 580, 274, 254, 944, 1726, 7589, 274, 254, 1213, 16, 839, 476, 3831, 597, 282, 719, 18, 7, 274, 254, 980, 2703, 1294, 274, 633, 1683, 324, 272, 7109, 21400, 9852, 16, 24896, 276, 2482, 2101, 14, 327, 39900, 513, 818, 21089, 4457, 282, 633, 4987, 18550, 16, 1180, 1610, 14, 603, 254, 2194, 24415, 324, 254, 2133, 368, 403, 3532, 311, 370, 20, 23, 18, 14, 18, 18, 18, 688, 10624, 587, 818, 272, 2982, 374, 18, 7, 282, 1545, 324, 21089, 4457, 16, 826, 2034, 596, 587, 5307, 248, 1916, 2042, 274, 370, 21, 18, 18, 14, 18, 18, 18, 28, 436, 555, 254, 1040, 274, 3509, 254, 18292, 368, 457, 619, 872, 16, 188, 2275, 3063, 27886, 10696, 42011, 15, 11712, 9247, 507, 33, 188, 36, 3008, 587, 756, 3603, 7852, 670, 596, 915, 2893, 6140, 328, 254, 1916, 16, 826, 2034, 327, 353, 457, 85, 1726, 282, 452, 7852, 2066, 282, 1336, 3084, 254, 2133, 14, 282, 4349, 4605, 348, 596, 403, 2961, 14, 324, 1610, 16, 188, 2148, 436, 1865, 14, 772, 7338, 311, 1845, 282, 6384, 248, 1157, 1245, 274, 2367, 7732, 282, 3709, 3532, 2893, 286, 21089, 4457, 16, 188, 1253, 6100, 380, 44872, 44981, 1860, 2253, 4066, 740, 42011, 15, 11712, 33, 188, 1982, 368, 1836, 282, 2035, 835, 368, 2035, 282, 1836, 16, 8783, 16481, 436, 944, 1726, 4659, 274, 254, 1213, 16, 7530, 561, 4414, 748, 368, 961, 432, 633, 743, 1683, 16, 23912, 2462, 1938, 276, 254, 1916, 587, 35570, 2982, 4665, 29, 368, 1038, 457, 86, 961, 282, 980, 597, 348, 580, 274, 2714, 21149, 457, 7109, 42507, 663, 6165, 561, 274, 2501, 16, 188, 5338, 457, 86, 10443, 328, 7036, 7980, 432, 42507, 14, 27592, 1318, 390, 34184, 432, 3732, 286, 1963, 16, 1395, 872, 282, 14036, 512, 7589, 274, 254, 4987, 3298, 286, 818, 248, 44860, 713, 836, 7980, 16, 1395, 1339, 1545, 324, 2042, 274, 2080, 14695, 348, 353, 807, 321, 719, 2524, 1863, 368, 2353, 1093, 4605, 390, 27592, 16, 1260, 248, 2025, 3954, 14, 818, 374, 18, 7, 348, 360, 452, 1582, 2378, 2254, 248, 1916, 6140, 387, 3132, 2042, 1091, 1582, 3, 188, 30347, 687, 7363, 476, 2226, 366, 254, 2042, 15895, 274, 7109, 3532, 276, 254, 801, 1619, 16, 5879, 563, 939, 512, 327, 3941, 33, 14414, 254, 10624, 774, 417, 27701, 368, 665, 624, 2501, 286, 368, 457, 619, 872, 282, 10443, 328, 1963, 390, 3732, 390, 3258, 14982, 16, 188, 1982, 368, 452, 641, 2705, 276, 254, 4987, 4351, 14, 403, 1851, 9916, 7363, 273, 14, 390, 3256, 452, 641, 2843, 748, 368, 403, 2430, 14, 360, 5419, 368, 1038, 457, 86, 2411, 286, 7109, 3145, 26213, 16, 1268, 603, 368, 452, 390, 368, 403, 3303, 282, 7109, 1916, 14, 360, 6865, 5419, 368, 7829, 272, 7109, 21400, 2211, 16, 188, 1516, 311, 3532, 254, 1640, 2342, 276, 254, 6234, 14, 4316, 327, 348, 272, 7109, 21400, 9852, 368, 872, 282, 4962, 248, 37753, 28534, 16, 2463, 486, 248 ]
[ 1, 1652, 1919, 432, 729, 888, 276, 254, 8020, 16, 188, 1590, 3885, 8739, 14, 345, 4313, 12745, 16, 5879, 1038, 457, 86, 368, 1141, 368, 457, 619, 1920, 775, 7518, 7439, 30954, 348, 254, 642, 33742, 9328, 1444, 16, 188, 1590, 4357, 14, 310, 1141, 368, 997, 1247, 343, 775, 16, 310, 457, 70, 1920, 775, 603, 310, 497, 368, 14, 532, 603, 368, 457, 251, 811, 417, 9587, 343, 775, 4895, 368, 933, 1076, 775, 1397, 7439, 2225, 343, 272, 17934, 10265, 16, 188, 4884, 748, 310, 1563, 33, 310, 476, 457, 86, 14190, 282, 254, 10450, 274, 7156, 3280, 272, 5224, 811, 282, 1076, 353, 248, 2065, 1938, 328, 254, 1076, 7213, 282, 254, 13571, 16, 731, 2427, 457, 86, 1041, 3177, 16, 8229, 650, 513, 327, 33, 2666, 401, 34810, 19599, 14, 327, 457, 85, 663, 16, 839, 457, 307, 643, 6841, 324, 2674, 890, 1090, 1012, 286, 3614, 701, 457, 85, 4378, 254, 580, 343, 254, 8691, 289, 18525, 447, 310, 2314, 616, 624, 286, 624, 1033, 1362, 16, 10770, 311, 616, 13957, 286, 3614, 1364, 802, 274, 616, 1464, 10916, 457, 86, 643, 3364, 310, 457, 307, 1582, 1815, 701, 369, 624, 5230, 683, 701, 311, 2966, 16, 1469, 457, 85, 248, 1247, 2174, 282, 5604, 286, 272, 12745, 4335, 282, 479, 16, 839, 8777, 2292, 286, 3387, 2292, 16, 839, 12175, 2292, 286, 563, 324, 1034, 13752, 2292, 16, 1469, 12695, 282, 1115, 5667, 343, 248, 5675, 286, 4277, 7883, 1930, 327, 310, 3217, 1683, 16, 310, 807, 3624, 248, 7803, 642, 1789, 603, 310, 573, 671, 314, 395, 254, 3621, 282, 2683, 481, 1334, 23250, 715, 310, 21729, 1469, 311, 13940, 286, 701, 457, 85, 618, 7383, 31121, 16, 0, 1130, 434, 272, 2843, 593, 1887, 353, 2674, 7629, 32950, 14, 1863, 368, 15467, 748, 353, 476, 513, 16, 188, 8465, 2871, 14, 670, 31327, 1405, 23448, 867, 561, 282, 23207, 254, 6311, 5212, 327, 18745, 742, 772, 3309, 11319, 374, 18, 20, 18, 1738, 1521, 2868, 14, 360, 4783, 4703, 248, 1283, 327, 46569, 441, 28, 769, 10847, 12393, 1738, 1397, 1585, 580, 1116, 14, 353, 16654, 248, 1612, 3770, 759, 91, 14, 254, 2169, 274, 7250, 2450, 22627, 3308, 327, 807, 1563, 3148, 286, 2631, 387, 254, 1057, 671, 16, 1585, 254, 642, 1116, 14, 436, 2774, 3309, 11319, 374, 18, 20, 18, 2133, 311, 9676, 282, 44841, 1034, 15, 1646, 20516, 7674, 282, 1738, 1521, 14, 254, 9104, 274, 1789, 327, 42366, 7185, 12406, 282, 321, 13283, 328, 3082, 274, 7919, 561, 2094, 15, 3818, 18774, 16, 16119, 665, 16427, 276, 1738, 1521, 321, 3248, 683, 254, 1887, 12086, 274, 7300, 328, 254, 8631, 33, 188, 510, 2443, 360, 457, 251, 17537, 2966, 5955, 248, 3055, 9932, 282, 254, 2843, 14, 1311, 1062, 1181, 248, 2784, 1631, 276, 254, 1321, 15, 14931, 1499, 16, 380, 1283, 769, 10847, 12393, 1738, 666, 1652, 248, 2169, 274, 7276, 7815, 276, 248, 374, 18, 19, 22, 9505, 81, 3737, 276, 380, 25864, 293, 14, 254, 4633, 1321, 15, 14931, 6521, 14, 286, 1544, 835, 555, 7078, 328, 387, 248, 1162, 274, 17877, 14, 43689, 276, 1733, 628, 407, 1564, 286, 2501, 432, 254, 32384, 413, 72, 7504, 6625, 16, 11166, 743, 348, 248, 1631, 14, 353, 457, 85, 4131, 328, 272, 11953, 327, 3032, 4607, 276, 29223, 28, 1395, 3256, 476, 457, 86, 2241, 668, 1910, 1738, 1269, 4536, 668, 254, 1619, 327, 7300, 3051, 16, 188, 510, 9791, 4535, 368, 476, 513, 276, 248, 1017, 15, 18666, 16310, 5035, 14, 7290, 16250, 33032, 276, 248, 11295, 286, 835, 13182, 348, 596, 39081, 3814, 615, 1612, 1499, 14, 311, 1129, 22807, 387, 4785, 4172, 286, 343, 5534, 10183, 348, 1910, 22993, 2277, 344, 4854, 286, 39145, 254, 20280, 16, 18130, 1919, 512, 254, 15030, 15, 526, 31394, 6752, 382, 25634, 286, 368, 457, 251, 1311, 1628, 343, 254, 41586, 5881, 14, 26360, 948, 327, 360, 457, 251, 6707, 254, 1619, 360, 3051, 14, 2156, 324, 254, 7007, 1111, 395, 353, 457, 85, 1034, 2391, 671, 282, 4533, 561, 811, 748, 360, 457, 251, 6707, 14, 843, 282, 28904, 254, 4577, 14, 286, 1002, 843, 282, 889, 772, 3520, 282, 1041, 353, 1755, 16, 188, 510, 7570, 1045, 7500, 282, 2173, 561, 248, 16688, 274, 254, 12387, 274, 6349, 1321, 1738, 939, 248, 32372, 9400, 16, 839, 12129, 14775, 1825, 361, 5746, 286, 5604, 32808, 14, 763, 32372, 15, 14931, 8381, 328, 7093, 8624, 85, 14, 282, 2173, 561, 248, 2169, 274, 9505, 81, 274, 615, 1193, 324, 254, 8788, 274, 32372, 1738, 1111, 395, 254, 7674, 353, 9117, 432, 248, 1499, 830, 8381, 286, 42366, 7185, 403, 2156, 17675, 276, 615, 1193, 2742, 375, 16, 18136, 1745, 10094, 2955, 24598, 1201, 79, 2866, 274, 16843, 2421, 286, 254, 8979, 12393, 4626, 20333, 5961, 248, 3379, 5353, 255, 274, 843, 1910, 1738, 6837, 328, 32372, 4719, 327, 360, 457, 251, 811, 4832, 282, 2033, 16, 188, 2943, 360, 2956, 8643, 1919, 387, 436, 2443, 14, 353, 3285, 1837, 282, 4533, 561, 748, 4759, 1848, 457, 86, 23204, 343, 32372, 1738, 14, 432, 9839, 7028, 282, 17510, 2642, 282, 22686, 16, 496, 948, 20418, 311, 580, 274, 254, 944, 9308, 38647, 276, 254, 975, 14, 5346, 417, 756, 324, 254, 2653, 360, 5838, 532, 248, 5534, 2332, 274, 748, 6395, 282, 772, 2575, 14, 324, 1755, 390, 7007, 16, 496, 248, 3555, 24912, 327, 457, 85, 348, 20369, 348, 353, 311, 39383, 14, 31327, 1405, 23448, 1270, 20418, 12376, 7321, 6558, 35497, 359, 6449, 15, 11695, 469, 8775, 248, 1612, 15, 4165, 17558, 251, 274, 10666, 663, 403, 29301, 327, 772, 18929, 403, 14, 21184, 1923, 315, 14, 7353, 1637, 5660, 894, 780, 687, 671, 1111, 395, 10718, 6143, 20659, 276, 254, 10542, 311, 628, 274, 254, 1865, 2075, 16, 3928, 24625, 34742, 26419, 252, 14, 669, 328, 254, 20418, 2214, 14, 34900, 248, 2560, 743, 11409, 324, 40379, 2371, 8597, 1111, 395, 254, 3526, 286, 8698, 7674, 327, 1041, 353, 1837, 324, 1403, 398, 282, 5129, 16, 188, 2148, 248, 3055, 15643, 328, 254, 32372, 1631, 14, 360, 3831, 2537, 20369, 9311, 328, 695, 12387, 286, 2365 ]
[ 1, 19753, 2218, 13130, 282, 5256, 327, 368, 5485, 432, 11758, 20288, 16, 1822, 274, 772, 6211, 403, 4376, 407, 254, 310, 36255, 5734, 457, 85, 10800, 841, 15, 42422, 8920, 14, 533, 3672, 5427, 23170, 5939, 2497, 286, 17823, 4105, 362, 507, 14, 16762, 597, 343, 772, 1193, 28515, 286, 5247, 4105, 26211, 16, 0, 510, 14894, 610, 591, 274, 254, 8767, 6934, 10663, 774, 417, 321, 7728, 683, 41389, 23146, 303, 1604, 390, 321, 2041, 282, 25530, 9819, 8952, 276, 248, 1956, 2937, 14, 532, 596, 8494, 254, 2155, 13580, 7937, 274, 9787, 254, 14463, 1205, 1527, 615, 13331, 16, 188, 3350, 1362, 14, 4597, 1469, 71, 5418, 311, 248, 10842, 15, 1318, 24631, 6571, 391, 746, 9115, 636, 324, 4013, 10663, 2357, 896, 6104, 272, 10136, 570, 6571, 38262, 967, 276, 580, 1733, 21689, 1362, 841, 1362, 16, 2807, 2286, 14, 345, 35806, 85, 3183, 14, 960, 353, 282, 324, 463, 4995, 1111, 37527, 9927, 1111, 14400, 20550, 46187, 16, 188, 4, 1982, 248, 1408, 311, 3256, 248, 11811, 286, 596, 1441, 1045, 324, 248, 8621, 14, 360, 1038, 625, 2156, 9709, 597, 248, 7621, 286, 1074, 561, 310, 1328, 624, 683, 248, 42365, 2020, 928, 1469, 71, 5418, 749, 16, 347, 510, 24292, 14, 2228, 14, 248, 1162, 274, 729, 452, 2584, 254, 671, 282, 2941, 668, 748, 310, 513, 449, 188, 510, 19245, 21748, 311, 2631, 743, 282, 1469, 71, 5418, 16, 2646, 1438, 282, 1416, 2079, 276, 4851, 14, 1469, 71, 5418, 286, 688, 7512, 1416, 3371, 4255, 282, 26803, 286, 9656, 282, 1242, 272, 1416, 19147, 16, 188, 4, 2686, 4104, 4598, 928, 345, 749, 16, 347, 2686, 434, 670, 310, 6139, 310, 807, 14430, 16637, 449, 188, 2899, 71, 5418, 11652, 16637, 387, 254, 610, 11123, 361, 16758, 30835, 328, 11194, 5555, 276, 254, 2318, 338, 27, 25, 18, 85, 14, 669, 11295, 89, 3708, 286, 2367, 348, 248, 3640, 4277, 387, 25373, 88, 26724, 434, 2362, 254, 6234, 16, 2936, 1362, 7180, 1544, 452, 643, 12495, 286, 1125, 14, 1648, 248, 7261, 15, 2823, 45572, 348, 248, 18494, 286, 26134, 29418, 324, 254, 2010, 6355, 3801, 21869, 434, 7258, 16, 188, 2976, 254, 1205, 14, 345, 369, 3939, 273, 520, 10786, 16, 750, 11115, 520, 2485, 14, 36307, 15, 41, 674, 1180, 463, 286, 16802, 693, 319, 14, 276, 338, 27, 25, 24, 14, 6350, 715, 36605, 248, 5114, 1581, 327, 1012, 3672, 4013, 10663, 2357, 16, 286, 3928, 68, 13883, 14, 14794, 274, 254, 13883, 286, 2357, 16, 23167, 2200, 7935, 4171, 16, 188, 17921, 14419, 14, 248, 26009, 9301, 324, 8426, 13990, 1318, 10814, 398, 14, 311, 1495, 17328, 636, 3686, 248, 3893, 1464, 16, 330, 1827, 15, 24757, 347, 19346, 569, 21801, 42234, 928, 14419, 555, 16186, 14574, 3859, 343, 26009, 8645, 324, 2674, 338, 23, 1090, 14, 4731, 276, 748, 345, 7980, 282, 321, 374, 18, 1015, 10328, 1285, 327, 671, 16, 188, 4, 24989, 555, 1582, 1623, 4936, 254, 14463, 928, 345, 749, 16, 188, 37, 5748, 8645, 1111, 67, 10578, 345, 6139, 432, 520, 3282, 1111, 73, 1106, 775, 248, 11785, 14, 12180, 9863, 286, 248, 1026, 282, 1041, 7435, 2445, 16, 1268, 345, 749, 254, 19245, 21748, 869, 843, 942, 3669, 282, 775, 348, 248, 26009, 9301, 286, 248, 42234, 311, 13260, 14, 2101, 353, 369, 624, 593, 670, 345, 369, 3686, 276, 8514, 9496, 16, 188, 4, 1982, 368, 9317, 4684, 348, 248, 42234, 1111, 4568, 14, 310, 2674, 1582, 513, 14, 974, 327, 434, 417, 843, 310, 1041, 618, 2501, 16, 543, 1931, 63, 353, 434, 8418, 14, 254, 2967, 449, 188, 38473, 749, 254, 1770, 345, 2893, 343, 387, 8426, 13990, 1318, 403, 9600, 670, 596, 1074, 561, 345, 6933, 254, 26347, 16, 380, 2306, 311, 1002, 624, 9307, 670, 596, 915, 775, 276, 2181, 14, 345, 749, 14, 819, 348, 670, 345, 6933, 387, 254, 15858, 44825, 6297, 3393, 276, 30455, 39198, 14, 830, 1125, 274, 520, 815, 15, 25820, 563, 282, 10087, 526, 16, 188, 4, 510, 9704, 476, 321, 3837, 11437, 928, 345, 749, 14, 12575, 729, 348, 347, 34163, 286, 33097, 449, 188, 4, 3602, 1441, 811, 28502, 301, 3353, 14, 843, 310, 1328, 2041, 282, 513, 1081, 1789, 928, 345, 749, 16, 188, 20188, 254, 2967, 311, 417, 593, 13260, 16, 1180, 16098, 2038, 34139, 14, 37372, 347, 47901, 928, 42913, 1890, 387, 1502, 262, 2290, 20922, 10715, 9, 276, 610, 11123, 361, 286, 4731, 16354, 276, 1922, 3833, 34853, 25219, 5103, 282, 563, 1116, 276, 1116, 16, 1678, 14, 345, 749, 14, 345, 11098, 248, 2967, 276, 843, 942, 7858, 282, 775, 276, 520, 1015, 9253, 16, 188, 4, 2943, 368, 1441, 4731, 3327, 14, 942, 1038, 625, 1519, 368, 747, 368, 1441, 9169, 729, 928, 345, 749, 16, 347, 1130, 434, 1311, 2169, 274, 9169, 942, 14, 532, 353, 434, 276, 248, 1015, 7928, 449, 188, 6004, 5139, 274, 729, 961, 282, 1862, 597, 615, 2286, 4701, 14, 254, 1770, 5041, 327, 626, 403, 11057, 282, 1129, 14894, 12456, 1285, 254, 1362, 16, 188, 4, 2432, 403, 624, 38612, 683, 626, 403, 7674, 928, 2038, 34139, 749, 14, 6069, 327, 345, 14131, 1129, 248, 42913, 3010, 16, 347, 1130, 434, 417, 254, 1057, 2115, 1033, 1362, 16, 21778, 14, 368, 1441, 2328, 16727, 14, 532, 3997, 311, 1015, 14, 3233, 276, 248, 3748, 747, 436, 16, 1664, 403, 688, 4576, 6109, 449, 188, 5934, 34139, 749, 345, 669, 4504, 254, 4954, 282, 1862, 520, 3833, 688, 28895, 14, 2328, 2056, 12587, 286, 24292, 19038, 865, 254, 11947, 274, 34853, 25219, 434, 1689, 13958, 16, 188, 2148, 1469, 71, 5418, 14, 2367, 254, 6571, 391, 746, 4107, 775, 248, 2591, 19001, 345, 1503, 417, 4859, 452, 16, 188, 4, 3116, 2072, 13891, 282, 3437, 479, 276, 254, 8745, 407, 4128, 928, 345, 749, 16, 188, 1931, 387, 254, 391, 746, 14, 345, 476, 4540, 343, 520, 815, 15, 25820, 348, 963, 348, 38917, 12587, 1111, 10117, 19321, 1591, 19669, 14, 5054, 1469, 71, 5418, 8405, 348, 7512, 10563, 16, 188, 4, 43, 1328, 276, 33097, 274, 729, 928, 345, 749, 14, 6069, 327, 345, 8775, 729, 28795, 16, 188 ]
[ 1, 188, 536, 6161, 1420, 7915, 1146, 18608, 28, 43180, 477, 1146, 13723, 18081, 28, 3612, 8002, 188, 188, 536, 6161, 7382, 28, 3237, 388, 1404, 281, 653, 74, 1404, 281, 76, 34, 22903, 16, 679, 32, 188, 31311, 188, 2855, 261, 35545, 283, 188, 2855, 35553, 188, 2855, 4249, 602, 16, 18293, 188, 188, 2855, 254, 4548, 188, 2855, 254, 4548, 16, 25239, 348, 26001, 188, 3933, 254, 4548, 16, 25239, 16, 18326, 65, 14317, 297, 9518, 1369, 19627, 988, 9518, 188, 188, 3933, 4249, 602, 16, 27298, 16, 18730, 16, 14728, 35093, 1369, 16769, 35093, 188, 188, 2360, 7479, 81, 2116, 21478, 35093, 10, 21478, 35093, 2192, 477, 11916, 1516, 311, 248, 27728, 5314, 2617, 324, 956, 954, 1395, 573, 1755, 3510, 248, 1491, 580, 16, 14973, 11916, 477, 804, 4623, 4338, 21257, 1262, 14, 14395, 14, 296, 65, 250, 14, 296, 65, 483, 31, 19, 18, 18, 14, 210, 1170, 5578, 31, 4350, 16, 80, 2929, 16, 85, 14954, 1217, 14, 1170, 18709, 65, 17647, 31, 4350, 16, 80, 2929, 16, 85, 14954, 1217, 14, 1170, 14038, 5313, 16143, 15, 291, 9877, 1358, 1170, 411, 31, 11033, 14, 411, 65, 5824, 31, 11033, 14, 271, 31, 11033, 14, 271, 65, 5824, 31, 11033, 14, 210, 1170, 11996, 65, 41058, 31, 4937, 14, 1170, 16465, 65, 5097, 31, 18, 16, 21, 14, 1170, 418, 19, 65, 12497, 31, 18, 16, 18, 14, 418, 20, 65, 12497, 31, 18, 16, 18, 14, 8269, 65, 8406, 334, 31, 18, 16, 18, 14, 1170, 35735, 414, 65, 7625, 31, 11033, 14, 3340, 65, 1021, 1020, 414, 65, 7625, 31, 11033, 14, 1170, 391, 1229, 31, 80, 35629, 16, 14317, 16, 23612, 5283, 5550, 210, 1170, 254, 4548, 65, 84, 1229, 31, 11033, 2192, 647, 11916, 37987, 254, 3482, 274, 254, 7479, 81, 2116, 16769, 35093, 16, 647, 330, 7479, 81, 2116, 16769, 35093, 311, 272, 440, 34097, 1530, 327, 13792, 282, 14913, 647, 14038, 2160, 328, 3175, 343, 2982, 5876, 5447, 282, 254, 647, 1530, 16, 2621, 380, 5876, 12084, 20368, 742, 3175, 8289, 343, 248, 2110, 647, 5744, 16, 826, 311, 1015, 432, 248, 475, 11898, 483, 3609, 12, 5046, 14, 647, 830, 254, 475, 18508, 12, 8289, 403, 12084, 17108, 742, 16, 2621, 1146, 875, 14395, 28, 254, 4548, 16, 25239, 16, 38075, 2466, 647, 1146, 3457, 14395, 28, 323, 3332, 3312, 4629, 327, 1372, 7222, 11804, 254, 3175, 16990, 274, 254, 10066, 314, 71, 16, 73, 896, 580, 1039, 487, 1475, 274, 16990, 3175, 3762, 14, 390, 3340, 274, 248, 1985, 3703, 11, 45261, 1146, 875, 296, 65, 250, 28, 539, 647, 1146, 3457, 296, 65, 250, 28, 10771, 274, 3175, 4934, 14, 254, 7670, 274, 254, 2245, 13855, 276, 533, 254, 931, 2704, 3051, 2621, 1146, 875, 296, 65, 483, 28, 539, 647, 1146, 3457, 296, 65, 483, 28, 380, 1162, 274, 8535, 4934, 16, 23881, 1146, 875, 5578, 28, 254, 4548, 16, 25239, 16, 32287, 2925, 16, 38276, 2925, 647, 1146, 3457, 5578, 28, 380, 14163, 414, 3608, 387, 22837, 19780, 3340, 16, 16990, 647, 1146, 875, 411, 28, 254, 4548, 16, 25239, 16, 18326, 1984, 16, 38075, 29835, 23051, 647, 1146, 3457, 411, 28, 380, 4548, 4629, 13091, 282, 248, 867, 274, 13094, 327, 933, 8710, 321, 5926, 869, 254, 6574, 35093, 286, 1495, 10066, 29, 8710, 603, 6574, 35093, 933, 321, 38900, 14, 3437, 436, 348, 8037, 16, 8710, 826, 867, 274, 13094, 10487, 282, 254, 5342, 432, 7775, 8710, 282, 8535, 3703, 16, 23881, 1146, 875, 411, 65, 5824, 28, 254, 4548, 16, 25239, 16, 18326, 1984, 16, 38075, 29835, 23051, 647, 1146, 3457, 411, 65, 5824, 28, 380, 4548, 4629, 13091, 282, 248, 867, 274, 13094, 327, 3986, 933, 321, 5926, 869, 254, 6574, 35093, 286, 1495, 3986, 10066, 29, 603, 6574, 35093, 933, 321, 38900, 14, 3986, 3437, 436, 348, 8037, 16, 826, 867, 274, 13094, 10487, 282, 3986, 254, 5342, 432, 254, 8535, 282, 254, 7775, 3703, 16, 17602, 647, 1146, 875, 271, 28, 254, 4548, 16, 25239, 16, 18326, 1984, 16, 38075, 29835, 23051, 647, 1146, 3457, 271, 28, 380, 4548, 4629, 13091, 282, 248, 867, 274, 8269, 2127, 327, 8710, 933, 321, 5926, 869, 254, 6574, 35093, 286, 1495, 8710, 10066, 29, 603, 6574, 35093, 933, 321, 38900, 14, 8710, 3437, 436, 348, 8037, 16, 826, 867, 274, 8269, 2127, 10487, 8710, 282, 254, 5342, 432, 7775, 282, 8535, 3703, 16, 210, 15088, 647, 1146, 875, 271, 65, 5824, 28, 254, 4548, 16, 25239, 16, 18326, 1984, 16, 38075, 29835, 23051, 647, 1146, 3457, 271, 65, 5824, 28, 380, 4548, 4629, 13091, 282, 248, 867, 274, 8269, 2127, 3986, 327, 933, 321, 5926, 869, 254, 6574, 35093, 286, 3986, 1495, 10066, 29, 603, 6574, 35093, 933, 321, 210, 3986, 38900, 14, 3437, 436, 348, 8037, 16, 826, 867, 274, 8269, 3986, 2127, 10487, 282, 254, 5342, 432, 7775, 282, 210, 3986, 8535, 3703, 16, 210, 17602, 647, 1146, 875, 11996, 65, 41058, 28, 7108, 647, 1146, 3457, 11996, 65, 41058, 28, 1286, 11475, 314, 6799, 581, 5457, 411, 65, 5824, 426, 411, 16, 54, 14, 883, 16, 71, 16, 19516, 254, 7775, 15, 18508, 9016, 286, 254, 19516, 8535, 15, 22066, 9016, 889, 254, 1057, 19516, 13094, 16, 18238, 647, 1146, 875, 16465, 65, 5097, 28, 254, 4548, 16, 5238, 16, 9346, 58, 647, 1146, 3457, 16465, 65, 5097, 28, 5423, 1392, 254, 1245, 274, 3175, 16465, 28, 3158, 254, 5744, 327, 272, 3175, 22837, 434, 3158, 1294, 587, 321, 4092, 282, 470, 1285, 13408, 3158, 274, 8535, 1370, 568, 16, 2621, 1146, 875, 35735, 414, 65, 7625, 28, 8035, 647, 1146, 3457, 35735, 414, 65, 7625, 28, 380, 2232, 1563, 324, 3277, 16, 1286, 867, 14, 1454, 2175, 926, 248, 35735, 414, 12004, 28, 254, 45767, 22553, 274, 248, 3816, 1129, 1996, 742, 14, 926, 390, 328, 16, 2621, 1146, 875, 3340, 65, 1021, 1020, 414, 65, 7625, 28, 8035, 647, 1146, 3457, 3340, 65, 1021, 1020, 414, 65, 7625, 28, 380, 35735, 414, 2232, 324, 3340, 11086, 926, 3082, 274, 3277, 16, 2621, 1146, 875, 418, 19, 65, 12497, 28, 8035, 647, 1146, 3457, 418, 19, 65, 12497, 28, 418 ]
[ 1, 324, 254, 23196, 16, 188, 7313, 1704, 91, 43820, 9039, 282, 10044, 624, 2107, 4139, 668, 254, 23196, 670, 19527, 3970, 387, 520, 47891, 3847, 1180, 463, 11485, 16, 380, 2004, 1601, 286, 5556, 1704, 91, 961, 7608, 457, 85, 16268, 282, 321, 248, 1972, 24164, 4687, 14, 417, 272, 36501, 2727, 9728, 4501, 274, 248, 23196, 327, 1125, 942, 452, 2102, 2254, 16, 188, 510, 7793, 254, 24164, 4687, 14, 254, 624, 29433, 5556, 1704, 91, 555, 16, 2807, 7608, 14, 345, 8219, 282, 321, 248, 12845, 274, 21918, 16, 188, 1590, 43, 457, 619, 3061, 5909, 345, 1106, 276, 254, 888, 14, 9118, 367, 2569, 1275, 476, 457, 86, 915, 479, 1756, 5556, 1704, 91, 749, 16, 188, 1982, 3762, 274, 254, 23196, 13214, 561, 2634, 282, 7608, 14, 254, 13214, 1856, 457, 86, 1663, 432, 5556, 1704, 91, 16, 1223, 1038, 457, 86, 14687, 15468, 407, 5556, 1704, 91, 457, 85, 11485, 282, 751, 248, 5087, 16, 380, 23196, 311, 417, 626, 14, 1129, 4783, 276, 272, 23214, 13410, 4189, 16, 188, 510, 36170, 311, 628, 274, 436, 4311, 2705, 324, 5556, 1704, 91, 14, 272, 31864, 7716, 286, 31813, 4704, 3680, 14, 663, 311, 248, 3442, 274, 254, 31864, 8498, 4347, 16, 750, 311, 9714, 274, 520, 785, 14, 286, 9714, 254, 2004, 1601, 4099, 2996, 432, 31864, 282, 2706, 248, 23196, 274, 248, 8766, 10374, 14, 580, 327, 311, 32543, 282, 321, 11263, 407, 9529, 324, 1090, 282, 1663, 16, 188, 7313, 1704, 91, 4168, 328, 436, 2133, 324, 338, 24, 2524, 14, 286, 254, 3360, 328, 775, 282, 2706, 1594, 2628, 369, 41586, 5881, 16, 380, 785, 311, 687, 16, 826, 8621, 14, 345, 587, 751, 254, 1321, 457, 85, 4733, 16, 188, 4921, 7993, 32433, 369, 628, 274, 254, 44324, 2705, 274, 2430, 436, 2133, 16, 1180, 5556, 1704, 91, 14, 254, 751, 15, 35386, 369, 512, 2072, 16, 750, 573, 3611, 6109, 668, 843, 1289, 16058, 32433, 369, 14, 286, 5556, 1704, 91, 2144, 343, 248, 1581, 274, 23758, 345, 2980, 432, 32433, 14, 593, 348, 417, 282, 7924, 520, 671, 16, 5556, 1704, 91, 749, 32433, 369, 4196, 26364, 286, 852, 1004, 16290, 12481, 19987, 14, 387, 580, 1110, 1002, 40832, 348, 603, 6134, 3108, 3925, 14, 13091, 286, 21275, 273, 3695, 22505, 16, 5556, 1704, 91, 7962, 345, 3428, 12161, 14, 4782, 7787, 282, 580, 274, 254, 13565, 457, 85, 512, 15, 2523, 6287, 1631, 37589, 16, 188, 7313, 1704, 91, 5441, 942, 282, 865, 254, 23196, 3470, 457, 86, 811, 520, 8641, 14, 532, 248, 1361, 3324, 16, 380, 23196, 369, 801, 2152, 276, 23497, 14, 1063, 353, 369, 2584, 282, 16041, 1191, 317, 47164, 3847, 5044, 276, 31864, 282, 321, 5094, 276, 25370, 16, 380, 23497, 23196, 369, 2541, 713, 338, 26, 1015, 7242, 16, 5650, 5158, 369, 835, 21319, 276, 25370, 14, 1063, 254, 25370, 23196, 369, 1649, 2292, 16, 188, 7313, 1704, 91, 369, 2102, 272, 4095, 16989, 264, 276, 31864, 14, 3569, 2893, 2408, 254, 19419, 399, 708, 44795, 431, 459, 324, 254, 31864, 11092, 14, 254, 15824, 258, 19320, 20104, 276, 2824, 274, 254, 37042, 3801, 46431, 14, 286, 254, 25370, 40815, 387, 254, 31864, 890, 17, 19, 19, 20104, 16, 188, 6264, 14, 626, 369, 3960, 7131, 324, 254, 32433, 2133, 432, 8624, 282, 8624, 16, 380, 2004, 1601, 19527, 775, 1241, 2008, 1063, 4782, 775, 254, 2545, 16, 6236, 254, 1213, 14, 5556, 1704, 91, 17752, 11006, 328, 942, 276, 254, 2004, 1601, 5833, 282, 751, 272, 10227, 997, 16, 188, 1590, 43, 457, 79, 374, 18, 2819, 432, 254, 2004, 1601, 457, 2488, 14, 286, 596, 497, 9845, 282, 1663, 407, 27546, 1756, 5556, 1704, 91, 749, 16, 769, 2943, 254, 6326, 5435, 749, 14, 2714, 2686, 32606, 12869, 3095, 282, 321, 4255, 248, 1612, 2298, 282, 254, 1628, 15491, 310, 4255, 353, 16, 310, 457, 79, 4864, 248, 2630, 15, 11772, 16, 1223, 327, 457, 85, 3901, 16, 4772, 276, 254, 980, 14, 310, 961, 353, 282, 321, 3834, 16, 1286, 327, 5326, 310, 573, 282, 1242, 687, 14, 310, 2956, 687, 16, 2666, 1390, 311, 1438, 328, 353, 16, 2666, 12332, 16, 188, 5125, 286, 687, 14, 5556, 1704, 91, 650, 1041, 4631, 328, 254, 33211, 14, 756, 282, 888, 13341, 670, 1594, 369, 417, 4414, 748, 345, 2980, 16, 188, 1982, 942, 1038, 457, 86, 747, 254, 6522, 1830, 14, 843, 587, 5556, 1704, 91, 7858, 33, 750, 3155, 327, 1897, 369, 3435, 14, 974, 345, 555, 1815, 668, 353, 2156, 16, 750, 749, 345, 650, 3687, 432, 520, 2705, 15910, 1416, 2079, 387, 15701, 314, 29685, 481, 188, 4630, 912, 311, 254, 756, 1408, 5556, 1704, 91, 25538, 5441, 282, 4356, 16, 1286, 2996, 555, 1635, 32433, 248, 34772, 35420, 274, 254, 6522, 1830, 14, 5556, 1704, 91, 311, 417, 6425, 274, 353, 16, 188, 2148, 327, 1865, 14, 670, 254, 247, 5748, 3144, 742, 254, 23196, 14, 5556, 1704, 91, 587, 997, 387, 254, 9287, 16, 750, 587, 997, 387, 32433, 14, 11213, 282, 915, 248, 8356, 16, 0, 20464, 282, 14713, 3663, 9796, 16, 3730, 368, 1782, 1074, 512, 254, 8930, 282, 665, 3418, 368, 774, 452, 668, 772, 743, 19923, 1426, 4360, 14, 1648, 254, 618, 40711, 781, 621, 286, 843, 282, 39957, 512, 633, 743, 5215, 16, 188, 1253, 1042, 14713, 3663, 9796, 2042, 33, 188, 1982, 368, 1441, 272, 5210, 17287, 14, 368, 1782, 8135, 751, 14713, 3663, 9796, 387, 641, 2982, 2042, 432, 7815, 16, 1180, 5210, 19923, 343, 3843, 2123, 8164, 14, 14713, 3663, 9796, 587, 3906, 282, 321, 248, 4196, 1903, 13924, 282, 633, 19923, 1426, 16, 188, 1253, 311, 743, 668, 14713, 3663, 9796, 33, 188, 1212, 457, 307, 2790, 624, 3956, 282, 5166, 14, 4892, 2790, 8555, 274, 9123, 2517, 286, 5493, 328, 254, 743, 286, 11535, 618, 40711, 781, 621, 282, 1336, 368, 1033, 1362, 14, 286, 328, 633, 1033, 9205, 16, 188, 5639, 310, 13621, 618, 12699, 10480, 387, 665, 671, 33, 188, 20192, 417, 16, 3397, 274, 1129, 248, 15146, 18603, 2034, 327, 14713, 3663, 19923, 1426, 311, 248, 5758, 338, 20, 1722, 3203, 16, 1268, 254 ]
[ 1, 328, 14925, 578, 418, 317, 1344, 5804, 314, 20, 22, 15, 20, 15, 20, 14, 374, 20, 581, 432, 34193, 16, 826, 311, 272, 4576, 3637, 597, 328, 2838, 14, 286, 3614, 418, 317, 1344, 5804, 14, 663, 311, 1873, 348, 769, 7507, 7113, 2273, 7324, 555, 3542, 520, 944, 16154, 271, 8128, 520, 1575, 1042, 997, 14493, 286, 807, 321, 1062, 19680, 324, 354, 19549, 727, 16, 188, 686, 254, 5427, 7262, 587, 915, 254, 1076, 282, 254, 5653, 274, 5237, 4043, 655, 1888, 3010, 20559, 314, 20, 15, 18, 14, 374, 11, 663, 4313, 324, 520, 2543, 4800, 4656, 377, 486, 3223, 348, 345, 3809, 328, 5604, 293, 8086, 2255, 250, 727, 314, 25, 15, 25, 14, 338, 481, 1585, 2838, 436, 311, 14, 407, 2019, 14, 254, 944, 5022, 23167, 274, 20559, 434, 5095, 14, 2228, 327, 434, 417, 3853, 1181, 286, 360, 1038, 625, 1847, 20559, 282, 1623, 2654, 248, 16577, 1045, 1385, 248, 30380, 753, 16406, 663, 555, 1856, 811, 580, 274, 520, 1364, 607, 271, 8128, 16, 188, 39898, 7796, 35539, 2527, 29280, 466, 11813, 42493, 6677, 10237, 314, 19, 24, 15, 18, 14, 338, 20, 11, 587, 321, 10601, 282, 254, 5653, 282, 3906, 520, 5095, 14, 286, 3694, 324, 254, 576, 394, 671, 436, 802, 16, 45962, 387, 254, 671, 274, 3899, 520, 16406, 10916, 625, 643, 4756, 14, 2101, 353, 434, 11231, 282, 321, 3655, 5022, 324, 254, 35539, 2527, 663, 555, 13098, 688, 1062, 3972, 9997, 276, 520, 1364, 495, 38319, 16, 839, 1038, 625, 747, 6349, 18851, 31186, 593, 360, 403, 11213, 327, 276, 374, 18, 19, 24, 42493, 6677, 10237, 587, 3109, 520, 7131, 597, 2499, 683, 811, 769, 297, 16480, 9734, 666, 348, 345, 555, 2152, 3970, 16, 188, 686, 254, 21401, 7262, 751, 254, 4688, 282, 915, 1495, 45034, 14615, 35539, 2527, 10803, 276, 2181, 348, 374, 20, 802, 1668, 19175, 6534, 28815, 37676, 418, 2478, 28789, 314, 26, 15, 18, 14, 607, 11, 3809, 328, 9539, 47850, 20936, 14517, 262, 7820, 314, 19, 19, 15, 26, 15, 19, 14, 576, 481, 1585, 2838, 353, 434, 1837, 282, 699, 1385, 418, 2478, 28789, 2228, 14517, 262, 7820, 311, 1755, 683, 520, 1868, 5767, 286, 555, 11374, 13623, 85, 1385, 254, 12695, 274, 12399, 445, 22311, 43154, 286, 17362, 45348, 418, 2588, 267, 262, 14, 16222, 669, 9375, 254, 5653, 343, 1499, 956, 20371, 14, 747, 8149, 35409, 286, 5469, 6307, 47559, 42037, 16, 826, 311, 248, 1181, 1755, 3694, 254, 5694, 1754, 16, 188, 686, 8753, 7262, 587, 751, 254, 4688, 282, 915, 3326, 1499, 3929, 5527, 427, 3126, 44023, 47942, 314, 22, 15, 19, 14, 374, 11, 1354, 328, 7479, 16421, 1569, 3779, 16409, 314, 18, 15, 19, 481, 826, 311, 44023, 47942, 434, 801, 23167, 1544, 10036, 282, 740, 494, 36740, 478, 276, 248, 23167, 324, 254, 411, 6155, 5186, 40934, 6534, 3929, 14, 888, 276, 4028, 16, 9673, 254, 2863, 14, 286, 254, 948, 436, 311, 616, 801, 23167, 3238, 274, 13798, 10297, 14, 353, 434, 1837, 282, 915, 44023, 47942, 10036, 282, 427, 3126, 16, 188, 19026, 338, 24, 394, 15, 59, 14576, 10297, 804, 1682, 1385, 17542, 408, 267, 14, 309, 1781, 7157, 24619, 11082, 85, 14, 26351, 1345, 11110, 286, 30707, 359, 478, 87, 2377, 5062, 1037, 395, 624, 3, 188, 8209, 254, 1722, 555, 643, 14584, 593, 2019, 1789, 1623, 3034, 282, 2536, 597, 687, 254, 1689, 2065, 390, 2950, 16, 3397, 274, 327, 311, 1899, 282, 248, 4523, 274, 15483, 2636, 276, 13798, 10297, 16, 380, 801, 311, 2966, 16222, 1495, 3144, 719, 1842, 1938, 16, 188, 510, 18433, 13798, 10297, 913, 311, 254, 801, 1623, 1887, 2659, 31823, 913, 274, 374, 18, 19, 23, 286, 353, 1623, 1042, 452, 248, 2298, 274, 3148, 16, 380, 1964, 2288, 3277, 580, 274, 254, 8766, 23861, 5259, 13210, 16222, 254, 758, 9045, 3277, 3989, 13694, 265, 21413, 14, 286, 11082, 1086, 14, 1648, 254, 11082, 274, 248, 636, 2692, 282, 751, 624, 3983, 683, 624, 7212, 20371, 16, 188, 510, 913, 3672, 2006, 11082, 1086, 2101, 254, 944, 16154, 311, 18568, 8451, 309, 1781, 7157, 24619, 314, 18, 15, 18, 11, 254, 1250, 3240, 274, 254, 1247, 7960, 469, 9153, 309, 1781, 7157, 24619, 16, 3996, 345, 434, 756, 248, 11082, 386, 18568, 8451, 311, 3159, 282, 751, 248, 2187, 274, 3983, 286, 1002, 5415, 671, 14, 5582, 254, 948, 345, 434, 8389, 254, 1062, 3972, 309, 2866, 81, 310, 1089, 67, 314, 19, 15, 20, 11, 276, 248, 23167, 327, 1623, 19185, 1181, 1564, 16, 1180, 18568, 8451, 1129, 520, 3282, 434, 3240, 807, 321, 248, 3893, 1381, 2325, 13841, 16, 750, 587, 751, 248, 2187, 274, 3983, 286, 353, 807, 1336, 520, 5095, 14, 532, 345, 1782, 669, 452, 942, 10657, 775, 282, 520, 3282, 286, 16300, 775, 282, 321, 1755, 683, 345, 3061, 311, 16, 188, 35, 624, 4576, 11082, 432, 561, 1431, 1110, 311, 327, 274, 1572, 87, 5804, 12607, 11617, 314, 18, 15, 18, 11, 663, 2350, 607, 22, 15, 26, 276, 254, 26784, 16729, 286, 311, 3396, 315, 38847, 348, 248, 636, 282, 3575, 16, 380, 374, 19, 802, 1668, 12607, 11617, 587, 321, 39835, 1385, 367, 14316, 542, 19905, 367, 30871, 314, 18, 15, 18, 11, 276, 248, 719, 391, 9850, 16, 3996, 1081, 1770, 403, 11082, 1086, 353, 434, 4204, 282, 1309, 12607, 11617, 587, 1242, 348, 254, 1887, 17555, 286, 688, 403, 247, 7984, 775, 348, 248, 1499, 16460, 276, 254, 2328, 16, 188, 7979, 3989, 13694, 265, 10803, 328, 436, 3021, 311, 28231, 26351, 1345, 11110, 314, 23, 15, 18, 14, 576, 11, 663, 4313, 282, 3906, 520, 3834, 1242, 348, 345, 19706, 15785, 21483, 13280, 331, 1345, 4280, 314, 27, 15, 21, 14, 495, 481, 26351, 1345, 11110, 311, 11923, 1062, 3989, 286, 520, 6122, 561, 3223, 1385, 500, 74, 329, 18838, 9493, 2726, 2607, 811, 843, 1181, 12464, 345, 555, 14, 2101, 360, 403, 11213, 282, 915, 775, 5597, 1045, 248, 1612, 2298, 407, 254, 10187, 331, 1345, 4280, 16, 188, 7979, 13694, 265, 10803, 328, 436, 3021, 311, 309, 32802, 5804, 30707, 359, 478, 87, 314, 19, 20, 15, 18 ]
[ 1, 248, 3316, 4358, 16, 731, 457, 85, 4848, 282, 1309, 327, 343, 512, 254, 785, 254, 2784, 25754, 311, 2328, 14, 254, 756, 1026, 324, 775, 311, 597, 16, 0, 11988, 5867, 5267, 16046, 28188, 8404, 14583, 432, 38083, 282, 13900, 286, 751, 906, 20375, 16771, 34109, 328, 712, 28581, 16, 679, 16, 28017, 26823, 7702, 286, 751, 254, 8612, 2257, 17426, 328, 5867, 5267, 16046, 28188, 432, 38083, 282, 13900, 16, 3497, 6214, 14, 286, 9747, 8418, 5961, 328, 5867, 5267, 16046, 28188, 20199, 432, 38083, 282, 13900, 16, 188, 3912, 274, 254, 4144, 4022, 15066, 14, 5867, 5267, 16046, 28188, 311, 1873, 324, 8920, 1708, 15, 1410, 349, 3134, 387, 35853, 7702, 16, 7644, 11379, 343, 642, 5060, 286, 9575, 15066, 555, 2477, 254, 3858, 274, 436, 26823, 2917, 16, 3201, 14, 353, 555, 248, 4474, 2896, 512, 2362, 254, 20280, 14, 286, 368, 476, 1926, 5867, 5267, 16046, 28188, 20199, 432, 38083, 282, 13900, 14, 324, 248, 26842, 286, 43634, 15, 4773, 2705, 16, 188, 686, 1596, 282, 436, 14, 360, 452, 669, 9831, 254, 712, 28581, 621, 324, 272, 8429, 2525, 2705, 16, 1395, 476, 1926, 38083, 282, 13900, 20199, 348, 963, 348, 997, 324, 642, 4139, 4850, 254, 27917, 407, 960, 772, 5939, 621, 16, 20928, 436, 621, 432, 254, 5396, 9956, 15663, 14, 7268, 15663, 14, 5258, 40071, 3525, 390, 1991, 15663, 282, 889, 772, 3134, 14, 286, 1041, 633, 4149, 35853, 407, 1905, 273, 2624, 621, 15, 7286, 5961, 286, 12968, 14041, 561, 407, 436, 3783, 4149, 6577, 16, 0, 22365, 383, 3547, 432, 254, 36756, 4715, 14, 1648, 5962, 1508, 14, 311, 1635, 2622, 16, 15246, 328, 254, 3762, 390, 4708, 2622, 282, 4010, 254, 1999, 3547, 4806, 16, 188, 2148, 248, 2057, 16032, 274, 512, 2391, 286, 14726, 3284, 2828, 407, 388, 8, 38, 286, 3732, 16, 188, 2148, 248, 2057, 16032, 274, 512, 254, 6151, 5962, 3547, 286, 1508, 16, 0, 13601, 65, 7382, 65, 1037, 3845, 3027, 2514, 802, 1286, 368, 3437, 248, 4245, 14, 436, 18987, 30793, 633, 1390, 593, 368, 1038, 625, 452, 282, 1479, 353, 276, 1689, 671, 16, 188, 13601, 65, 7382, 65, 12460, 65, 1037, 3845, 3027, 2514, 802, 1286, 368, 3437, 248, 4245, 14, 436, 18987, 30793, 633, 4436, 2859, 593, 368, 1038, 625, 452, 282, 1479, 353, 276, 1689, 671, 16, 188, 77, 7945, 65, 12763, 65, 1021, 40889, 65, 2523, 3845, 3027, 18828, 7061, 25814, 282, 5667, 23965, 24660, 327, 476, 7325, 276, 248, 4245, 825, 624, 4400, 683, 665, 1910, 16, 188, 6486, 3193, 5319, 1787, 3845, 3027, 19932, 368, 1689, 2722, 633, 9621, 25814, 407, 254, 10435, 3335, 14339, 593, 327, 12587, 9, 17459, 286, 15718, 3585, 476, 321, 12311, 348, 596, 2055, 432, 3135, 282, 3135, 16, 188, 1349, 265, 65, 35239, 65, 22161, 3845, 3027, 2514, 802, 15212, 533, 12587, 452, 24531, 282, 2903, 13879, 14, 286, 4699, 254, 18757, 28697, 561, 274, 615, 1026, 16, 188, 89, 789, 69, 65, 37355, 265, 65, 29625, 3845, 3027, 19932, 368, 1689, 2722, 633, 9621, 25814, 407, 254, 8745, 282, 1868, 254, 671, 327, 633, 4311, 7528, 7923, 1162, 369, 5618, 282, 321, 3469, 314, 927, 3570, 5845, 14854, 11920, 481, 188, 89, 789, 69, 65, 33309, 65, 35239, 2316, 3845, 3027, 5596, 1842, 330, 4311, 3681, 1162, 900, 407, 254, 8745, 282, 4316, 748, 1004, 22494, 555, 276, 615, 12352, 7089, 16, 188, 65, 308, 781, 3845, 3027, 5596, 1090, 3397, 274, 5396, 39617, 16, 1547, 1545, 441, 282, 30276, 286, 1359, 254, 1162, 274, 12587, 286, 282, 915, 843, 12587, 2055, 1444, 254, 2586, 670, 596, 457, 251, 960, 353, 16, 826, 7526, 441, 282, 3054, 254, 1026, 772, 4282, 2893, 14, 324, 1610, 407, 2328, 2056, 4076, 403, 4419, 748, 596, 872, 4214, 16, 188, 65, 308, 1763, 3845, 3027, 22454, 272, 4813, 7823, 5396, 39617, 18987, 16, 188, 65, 308, 16983, 3845, 3027, 19932, 368, 1689, 2722, 633, 9621, 7823, 5396, 39617, 18987, 16, 188, 1368, 476, 4432, 254, 7336, 328, 633, 4242, 282, 10073, 665, 13879, 603, 368, 5565, 16, 826, 476, 4214, 321, 2152, 407, 26225, 254, 11686, 13879, 4610, 328, 633, 4242, 314, 2770, 1125, 4282, 3357, 587, 417, 785, 8876, 603, 13879, 403, 13233, 481, 0, 24989, 5019, 648, 265, 687, 248, 11249, 9287, 348, 380, 15473, 11516, 81, 2600, 7738, 2286, 387, 254, 399, 2901, 2011, 25052, 14699, 5044, 16, 188, 510, 1361, 5325, 254, 2949, 343, 272, 3132, 785, 1869, 769, 39212, 399, 7024, 666, 9661, 5577, 324, 254, 913, 407, 657, 1917, 10584, 1618, 16, 188, 19226, 254, 642, 7242, 2600, 369, 769, 13655, 1011, 3619, 666, 407, 14704, 264, 367, 570, 4256, 29893, 14, 348, 963, 348, 2893, 407, 7960, 34143, 17935, 6868, 1711, 16, 188, 16749, 3689, 4087, 250, 14, 248, 18834, 3327, 2949, 2135, 14, 749, 769, 13655, 1011, 3619, 666, 369, 520, 7383, 628, 274, 254, 913, 16, 188, 1516, 369, 669, 417, 254, 801, 671, 4087, 250, 573, 2254, 254, 1361, 1323, 16, 188, 15080, 67, 12705, 7792, 1832, 753, 14, 34603, 382, 324, 254, 32200, 14, 749, 616, 7383, 628, 274, 254, 913, 369, 9339, 254, 6868, 1711, 7242, 16, 188, 7486, 273, 254, 12350, 369, 254, 32200, 457, 85, 2949, 274, 769, 3431, 1673, 733, 19781, 1756, 9661, 5577, 324, 380, 15473, 11516, 81, 407, 20936, 17575, 12271, 854, 619, 275, 16, 188, 510, 9287, 3297, 282, 36539, 9256, 841, 254, 1361, 6522, 14, 343, 4679, 512, 254, 8223, 2672, 4782, 380, 15473, 11516, 81, 248, 6134, 13858, 319, 16, 188, 46, 7748, 1502, 2846, 1951, 1048, 14, 248, 12394, 7716, 14, 749, 701, 286, 616, 5769, 497, 1062, 17339, 343, 254, 3327, 16, 188, 23914, 2290, 45772, 14, 248, 18834, 3327, 4584, 2135, 14, 749, 345, 1623, 11042, 254, 2949, 348, 963, 16, 188, 7373, 21112, 36176, 252, 14, 248, 11336, 274, 11409, 14, 749, 701, 1102, 254, 3327, 33385, 16, 188, 2976, 1241, 2672, 274, 380, 15473, 11516, 81, 19899, 328, 615, 23755, 324, 254, 399, 2901, 2011, 457, 85, 4425, 1526, 6519, 16, 188, 1590, 1212, 2169, 274, 7822, 307, 436, 2169, 274, 18231, 1756, 886, 382, 4966, 331, 329, 6286 ]
[ 1, 10337, 65, 29902, 2719, 647, 1827, 16, 8552, 426, 17106, 8742, 10, 1262, 11, 647, 2155, 10, 7902, 423, 23004, 9049, 14, 1827, 481, 870, 4338, 870, 9417, 8626, 14, 1375, 35436, 11, 1465, 1196, 285, 22363, 527, 477, 804, 1470, 10, 1262, 2192, 647, 11916, 12564, 266, 248, 3808, 14, 533, 933, 321, 15754, 348, 13543, 276, 33486, 15, 26, 647, 3198, 254, 2662, 2069, 16, 2621, 12679, 282, 254, 3808, 5009, 254, 19105, 1308, 647, 1146, 4640, 28, 20290, 29264, 5736, 65, 6505, 65, 2290, 66, 311, 1869, 16, 647, 11916, 2621, 1800, 11291, 2918, 17106, 2160, 603, 3320, 2165, 647, 1827, 16, 5736, 65, 6505, 65, 2290, 1067, 2621, 1574, 28, 926, 14046, 426, 13729, 16, 2711, 85, 10, 1262, 16, 9376, 16, 2825, 16, 28339, 1551, 17914, 15, 26, 14307, 647, 3584, 11422, 4608, 28, 926, 6975, 388, 4350, 3141, 35952, 10, 22, 18, 18, 14, 347, 18941, 13543, 2719, 2621, 1800, 23433, 23665, 2662, 328, 2160, 647, 1827, 16, 10337, 65, 29902, 16, 7209, 65, 8335, 65, 3933, 10, 1262, 16, 8552, 14, 14046, 11, 1465, 804, 2374, 65, 6505, 65, 2290, 10, 1262, 2192, 647, 11916, 6709, 5992, 1826, 254, 987, 9110, 5114, 555, 8158, 7846, 695, 647, 6315, 16, 2621, 2807, 4145, 436, 2374, 8193, 328, 10657, 254, 647, 20269, 58, 15, 7902, 423, 15, 4664, 5037, 2662, 10207, 1294, 343, 254, 2165, 332, 1705, 1400, 276, 647, 1146, 4640, 28, 9321, 29264, 6505, 65, 2290, 66, 670, 436, 1740, 311, 3446, 16, 647, 11916, 647, 1574, 28, 926, 2165, 426, 1827, 16, 9376, 16, 26692, 9594, 58, 15, 7902, 423, 15, 4664, 9431, 647, 3584, 9763, 4608, 28, 926, 6975, 388, 4350, 3141, 35952, 10, 22, 18, 19, 14, 347, 35446, 1558, 15, 7902, 423, 15, 4664, 10207, 2719, 2621, 603, 417, 17686, 10, 2290, 14, 1827, 16, 6505, 65, 2290, 2192, 926, 6975, 388, 4350, 3141, 35952, 10, 22, 18, 19, 14, 347, 18941, 8755, 2165, 2719, 188, 0, 3933, 17880, 1369, 26933, 188, 188, 2360, 6225, 5161, 28, 477, 27268, 3023, 52, 3127, 16292, 426, 550, 647, 45187, 5141, 684, 10, 1358, 647, 684, 95, 5141, 38309, 1358, 647, 684, 63, 5141, 39406, 1358, 477, 744, 14973, 804, 4623, 4338, 21257, 1262, 14, 1988, 2192, 647, 1827, 3226, 17421, 65, 9485, 426, 7954, 647, 1827, 3226, 24235, 426, 11475, 647, 1827, 3226, 18705, 10, 17255, 11, 14973, 804, 791, 423, 65, 8757, 10, 1262, 14, 1006, 2192, 647, 32334, 426, 1827, 24051, 2360, 46065, 32923, 3023, 52, 3127, 16292, 61, 3495, 63, 647, 603, 8249, 10, 1262, 3226, 17421, 65, 9485, 11, 653, 338, 28, 926, 1827, 3226, 24235, 426, 16247, 647, 27985, 1827, 3226, 17421, 65, 9485, 16155, 19, 63, 3493, 32334, 28, 926, 1827, 3226, 24235, 426, 16247, 647, 1952, 28, 926, 501, 426, 1827, 3226, 17421, 65, 9485, 16, 9324, 1067, 926, 603, 417, 501, 28, 1003, 1827, 3226, 24235, 426, 16247, 7627, 477, 804, 791, 18705, 10, 1262, 14, 1988, 2192, 647, 324, 1006, 276, 1988, 28, 926, 603, 1006, 276, 11865, 10, 1358, 38309, 1358, 684, 4862, 2192, 1003, 1827, 3226, 17421, 65, 9485, 16, 9436, 10, 3495, 11, 926, 1952, 28, 1003, 1827, 3226, 423, 65, 8757, 10, 3495, 11, 14973, 1196, 8897, 477, 804, 13011, 10, 1262, 2192, 647, 1076, 1827, 3226, 24235, 286, 8249, 10, 1262, 3226, 17421, 65, 9485, 11, 2224, 470, 575, 188, 1510, 311, 65, 24235, 10, 17255, 2192, 477, 1076, 6225, 5161, 10, 17255, 481, 24235, 188, 188, 86, 426, 539, 10, 5263, 4872, 24915, 6472, 188, 1507, 248, 18, 276, 2413, 10, 86, 2192, 477, 1988, 426, 3175, 4872, 24915, 1067, 477, 603, 311, 65, 24235, 10, 17255, 11, 2224, 11475, 28, 647, 3270, 1551, 23467, 2719, 477, 1952, 28, 647, 3270, 1551, 7513, 2719, 188, 0, 5, 33544, 11598, 17, 4655, 17, 12196, 15118, 188, 5, 8064, 314, 69, 11, 374, 18, 19, 20, 1599, 277, 491, 67, 14, 3567, 16, 1822, 3453, 10544, 16, 188, 5, 188, 5, 21081, 758, 254, 13934, 4493, 14, 10811, 374, 16, 18, 314, 779, 347, 17233, 3181, 188, 5, 368, 774, 417, 889, 436, 1819, 3584, 276, 10007, 343, 254, 4493, 16, 188, 5, 1395, 774, 3915, 248, 3378, 274, 254, 4493, 387, 188, 5, 188, 5, 3817, 1333, 2614, 16, 8197, 16, 2000, 17, 16652, 17, 17313, 15, 20, 16, 18, 188, 5, 188, 5, 15556, 2347, 407, 7559, 1533, 390, 5656, 282, 276, 3899, 14, 3571, 188, 5, 5770, 758, 254, 4493, 311, 5770, 328, 272, 347, 1675, 3977, 4, 22704, 14, 188, 5, 14588, 15039, 4012, 22284, 3368, 8867, 18771, 14, 1996, 3764, 390, 10195, 16, 188, 5, 2512, 254, 4493, 324, 254, 2107, 3335, 12841, 15176, 286, 188, 5, 7169, 758, 254, 4493, 16, 188, 5, 188, 188, 3933, 5062, 16, 9523, 16, 11236, 6893, 65, 2484, 65, 41187, 1369, 15566, 6893, 4938, 39054, 188, 2855, 671, 188, 2855, 269, 1719, 383, 188, 188, 2360, 5834, 25800, 4534, 36413, 10, 29015, 6893, 4938, 39054, 2192, 585, 11916, 26031, 324, 47787, 8542, 327, 3432, 625, 5937, 407, 12320, 7123, 1508, 31311, 1698, 1196, 82, 1719, 383, 16, 4553, 16, 20948, 65, 2087, 1340, 585, 804, 1056, 65, 14052, 65, 1955, 11310, 65, 297, 2883, 65, 10947, 10, 1262, 2192, 477, 5505, 65, 297, 2883, 65, 7147, 426, 393, 1030, 347, 2484, 15, 1879, 5798, 17, 27462, 16, 5310, 17, 14052, 65, 1171, 6171, 65, 43495, 435, 13821, 11236, 6893, 65, 14052, 65, 297, 2883, 4, 477, 1827, 16, 13464, 3550, 65, 8552, 16, 15983, 65, 3039, 65, 7147, 10, 14052, 65, 297, 2883, 65, 7147, 14, 31832, 31, 4937, 11, 477, 1827, 16, 8552, 16, 20948, 1551, 9482, 18684, 37654, 24611, 188, 27462, 16, 14052, 65, 1171, 6171, 65, 43495, 435, 22511, 539, 65, 1992, 10445, 5011, 16, 23515, 564, 2343, 9482, 2719, 477, 33945, 426, 1827, 16, 13464, 3550, 65, 8552, 16, 3434, 65, 7147, 10, 14052, 65, 297, 2883, 65, 7147, 11, 477, 4005, 8249, 10, 5047, 4862, 4365, 9255, 266, 33096, 4365, 9255, 22673, 2224, 470, 1698, 1196, 82, 1719, 383, 16, 4553, 16, 20948, 65, 2087, 1340, 585, 804, 1056, 65, 14052, 65, 9925, 18536 ]
[ 1, 457, 86, 24945, 2151, 5839, 16, 35681, 706, 310, 6231, 457, 86, 254, 756, 15169, 663, 10888, 343, 436, 4333, 16, 839, 403, 32085, 756, 841, 360, 913, 5839, 16, 1286, 626, 311, 641, 10637, 14, 360, 5103, 282, 2780, 626, 3470, 457, 86, 2151, 5839, 16, 7614, 274, 1129, 37130, 14, 2228, 14, 254, 3541, 282, 618, 24056, 2144, 387, 801, 276, 272, 2481, 15920, 1256, 327, 6707, 618, 7697, 807, 1767, 618, 1350, 274, 2482, 16, 2552, 327, 369, 3444, 343, 31615, 9625, 274, 7338, 327, 9988, 479, 843, 282, 13976, 618, 2482, 328, 618, 1193, 16, 7023, 1938, 852, 310, 2941, 327, 836, 5445, 497, 254, 20226, 7587, 274, 9444, 3753, 4767, 16, 188, 15309, 663, 1038, 457, 86, 2780, 276, 2572, 452, 248, 1837, 671, 343, 436, 3258, 27440, 2115, 16, 769, 1368, 2865, 2481, 531, 5418, 447, 432, 2572, 7518, 596, 1309, 343, 32783, 548, 2082, 16, 5919, 14, 353, 457, 85, 417, 747, 310, 3611, 248, 4179, 432, 1788, 26947, 343, 23729, 527, 43609, 588, 319, 14, 769, 38, 2119, 5820, 1675, 14, 4252, 14711, 12423, 4252, 2119, 388, 17620, 59, 4252, 2119, 41, 5169, 53, 4528, 666, 2038, 12165, 27440, 311, 624, 747, 272, 2843, 40550, 713, 618, 1450, 327, 310, 1848, 457, 86, 452, 1063, 1111, 67, 5812, 22080, 327, 311, 12064, 618, 1615, 6023, 274, 1815, 16, 1286, 11387, 407, 254, 5723, 19082, 274, 254, 13555, 25412, 14, 835, 310, 10815, 254, 2843, 282, 22054, 315, 10672, 16, 8873, 14, 748, 1042, 353, 2563, 830, 310, 1141, 254, 2843, 2144, 432, 33, 1286, 310, 1652, 254, 2843, 742, 274, 7672, 14, 650, 353, 452, 643, 665, 1637, 274, 272, 2481, 15920, 1256, 33, 188, 45379, 274, 254, 2843, 457, 85, 866, 7494, 14, 254, 2843, 327, 310, 807, 1767, 618, 1499, 407, 6707, 618, 7697, 369, 4828, 796, 16, 3845, 14, 310, 573, 282, 6023, 4128, 282, 1141, 14548, 343, 580, 14047, 1815, 248, 1362, 16, 2552, 14, 670, 327, 3285, 6742, 14, 310, 14459, 4128, 282, 1581, 624, 683, 580, 14047, 1815, 248, 1362, 16, 21300, 14, 310, 6705, 327, 310, 12015, 254, 1499, 12997, 16, 7693, 1063, 310, 756, 2950, 13486, 14, 1012, 310, 807, 915, 254, 1665, 9888, 939, 16, 731, 1143, 2151, 274, 248, 2967, 327, 310, 4574, 16017, 248, 270, 4751, 741, 286, 3297, 20631, 561, 274, 254, 3555, 963, 274, 9204, 310, 573, 369, 17675, 3198, 16, 6788, 35681, 14, 254, 3541, 282, 618, 24056, 3470, 457, 86, 4414, 748, 310, 369, 6817, 324, 14, 532, 353, 369, 4414, 748, 310, 2961, 14, 286, 310, 457, 79, 1181, 624, 16186, 286, 5058, 2966, 974, 274, 353, 16, 188, 5125, 671, 14, 310, 6139, 327, 254, 12578, 1494, 573, 1582, 13585, 479, 14, 286, 327, 618, 5839, 369, 417, 12154, 16, 380, 6032, 573, 23250, 479, 343, 254, 5493, 282, 8494, 618, 9204, 14, 286, 310, 13620, 328, 729, 276, 5839, 16, 750, 6344, 479, 1767, 618, 8442, 328, 1464, 14, 286, 9988, 479, 843, 282, 8188, 254, 2456, 274, 618, 11980, 8750, 16, 14607, 9204, 369, 248, 341, 3035, 310, 650, 452, 282, 8572, 324, 254, 1515, 274, 618, 1464, 14, 532, 2740, 573, 1143, 353, 20624, 16, 188, 13683, 618, 30815, 34751, 14, 310, 7207, 597, 1129, 30003, 324, 327, 33013, 16359, 3379, 16, 6499, 5987, 15, 1183, 38140, 343, 9204, 1872, 254, 14410, 327, 35681, 7360, 274, 286, 915, 254, 9650, 4313, 274, 14896, 8170, 280, 328, 254, 9117, 274, 7434, 4254, 14, 3732, 14, 286, 5935, 6851, 670, 596, 1574, 282, 5353, 254, 36200, 1040, 274, 436, 8750, 16, 310, 2780, 327, 436, 3379, 587, 513, 248, 1247, 2874, 274, 1157, 16, 1334, 26990, 327, 35681, 1102, 248, 7151, 663, 807, 1336, 616, 295, 6854, 616, 1464, 286, 1074, 15268, 959, 16, 310, 715, 30003, 324, 254, 3324, 618, 5935, 555, 643, 2328, 276, 254, 2391, 1603, 1090, 282, 2859, 6083, 1738, 14, 5577, 9204, 14, 1285, 4078, 12304, 11761, 16, 731, 11023, 248, 3202, 2713, 286, 6093, 282, 254, 2186, 327, 587, 1336, 11439, 254, 34466, 327, 1002, 254, 38140, 14152, 6168, 16, 43546, 774, 417, 14430, 9204, 1919, 747, 15616, 742, 772, 22974, 14, 532, 942, 343, 9204, 476, 1074, 254, 4609, 282, 751, 561, 274, 3598, 14, 1354, 248, 3109, 3461, 14, 286, 16129, 254, 5493, 2066, 282, 729, 282, 1074, 6444, 16, 2003, 1336, 774, 321, 1112, 85, 14, 353, 774, 321, 4229, 7599, 14, 390, 353, 774, 321, 9444, 3753, 4767, 16, 12809, 29274, 5839, 12173, 441, 276, 254, 977, 3544, 274, 2482, 282, 915, 254, 5322, 276, 2824, 274, 772, 2836, 16, 0, 2300, 772, 4735, 18550, 5147, 4282, 9676, 282, 5170, 924, 276, 37141, 14, 276, 495, 2875, 4867, 368, 476, 2662, 14, 4400, 286, 4214, 14, 8346, 18550, 286, 4665, 432, 597, 282, 607, 4735, 4273, 276, 37141, 286, 8476, 2104, 16, 188, 4601, 2792, 7325, 276, 254, 3783, 24415, 2662, 825, 286, 4615, 44442, 18550, 432, 597, 282, 607, 8346, 4273, 276, 37141, 16, 188, 1212, 22539, 5559, 772, 5060, 14659, 4273, 14, 5427, 2342, 8346, 15806, 286, 3780, 44442, 4273, 276, 37141, 14, 286, 756, 785, 343, 1157, 14, 9377, 5337, 733, 276, 37141, 16, 188, 12963, 1789, 248, 1612, 6742, 328, 4684, 407, 960, 772, 347, 23057, 4735, 571, 1471, 286, 4665, 3783, 2497, 4, 4024, 324, 5170, 924, 276, 37141, 16, 188, 1516, 25962, 248, 1247, 2874, 274, 671, 348, 368, 403, 2041, 282, 2662, 4735, 18550, 14, 432, 9377, 2342, 14, 5060, 390, 3780, 5337, 733, 276, 37141, 14, 2292, 276, 580, 1619, 16, 188, 15309, 37141, 8346, 15806, 587, 2960, 368, 3468, 343, 615, 8346, 7980, 16, 1691, 368, 452, 282, 513, 311, 282, 7085, 254, 7702, 14, 3134, 615, 3831, 286, 5053, 254, 44442, 2485, 276, 37141, 327, 18956, 368, 1640, 16, 188, 1212, 2023, 13259, 1683, 8346, 37141, 286, 3764, 2342, 8346, 3134, 16, 28017, 1708, 3780, 5170, 924, 37141, 286, 1640, 5060, 5170, 924, 18550, 16, 839, 7065, 3260, 282, 3260, 20325, 9470, 37141, 286, 17740, 12890, 9470, 4665, 16, 6398, 957, 2072, 4735, 37141, 286, 17740, 6092, 4735, 1581, 16, 5427, 9575, 5337, 733, 37141, 2023, 10849 ]
[ 1, 7479, 478, 3595, 867, 282, 27534, 276, 3447, 374, 18, 19, 21, 16, 188, 54, 14598, 11761, 282, 427, 8431, 83, 13963, 91, 1155, 14, 8089, 274, 24638, 706, 1277, 29, 11353, 14, 328, 254, 8641, 274, 248, 2675, 3026, 324, 5475, 7935, 286, 5384, 6319, 286, 31713, 276, 254, 2391, 802, 16, 188, 54, 14598, 11761, 282, 416, 727, 80, 357, 21289, 952, 334, 1155, 14, 3792, 274, 254, 2341, 16743, 6313, 274, 44690, 40925, 4543, 314, 33156, 1254, 581, 328, 16468, 687, 374, 18, 19, 20, 14, 254, 4954, 282, 2023, 2269, 3860, 282, 2963, 14, 286, 254, 7935, 7742, 16, 188, 54, 14598, 11761, 282, 16929, 27133, 11130, 14, 19231, 3792, 324, 44690, 40925, 14, 11769, 14, 706, 1277, 29, 13917, 387, 17139, 14, 328, 254, 14069, 5704, 276, 44690, 40925, 14, 254, 2504, 434, 2472, 348, 272, 2269, 14311, 14, 286, 254, 21413, 387, 24111, 7479, 478, 16, 188, 54, 14598, 11761, 282, 38734, 17292, 258, 323, 7064, 445, 8025, 14, 3792, 274, 657, 4467, 301, 44690, 40925, 14, 328, 7916, 14, 3358, 1918, 7674, 14, 286, 254, 1841, 3373, 274, 254, 4340, 15, 1128, 256, 312, 753, 367, 24187, 314, 7453, 40390, 481, 188, 41, 461, 2248, 32392, 14, 20605, 274, 254, 32392, 323, 27245, 1402, 9948, 14, 328, 254, 2803, 274, 254, 32392, 1963, 276, 44690, 40925, 286, 254, 30715, 274, 3944, 2269, 16, 188, 3294, 248, 671, 670, 44690, 40925, 311, 11263, 348, 248, 2165, 7626, 324, 2963, 14, 331, 4787, 753, 3556, 348, 248, 825, 274, 2269, 3860, 311, 248, 13566, 2715, 276, 254, 32390, 18719, 2860, 16, 188, 54, 14598, 11761, 282, 6244, 11701, 438, 281, 13514, 14, 4078, 15381, 274, 11931, 444, 8, 1277, 29, 50, 44690, 40925, 14, 328, 254, 2485, 434, 4566, 276, 44690, 40925, 14, 8811, 30584, 14, 286, 18809, 3595, 274, 254, 24111, 7479, 478, 3556, 1631, 16, 188, 54, 14598, 11761, 282, 7200, 18420, 14, 4078, 15381, 324, 44690, 40925, 387, 46744, 2677, 1048, 14, 328, 5704, 276, 44690, 40925, 14, 1922, 12464, 14, 286, 416, 8, 1277, 29, 38, 16, 188, 54, 14598, 11761, 282, 8301, 325, 21327, 19726, 727, 14, 4078, 15381, 274, 32392, 16743, 14, 328, 254, 2803, 274, 254, 2485, 14, 6507, 248, 4474, 20201, 274, 5704, 14, 286, 254, 5475, 7935, 3026, 16, 188, 4119, 1575, 15, 14124, 8946, 587, 27449, 2743, 15, 13837, 2269, 6259, 276, 1596, 282, 4654, 1922, 4681, 348, 8132, 2237, 5884, 16, 188, 4630, 3942, 971, 555, 2411, 272, 3821, 324, 8189, 286, 248, 1500, 628, 274, 254, 2504, 434, 2958, 8548, 15, 16985, 7730, 1823, 5861, 16, 188, 54, 14598, 11761, 282, 388, 2255, 1337, 19416, 9153, 88, 14, 8089, 274, 23481, 1466, 706, 1277, 29, 14272, 18686, 14, 328, 48044, 254, 1162, 274, 6702, 3551, 14, 23060, 295, 15, 44242, 15409, 14, 286, 27141, 3944, 10399, 1773, 16, 188, 54, 14598, 11761, 282, 323, 778, 5418, 12850, 334, 1155, 14, 4078, 9701, 274, 4453, 16, 2345, 45843, 14, 328, 15679, 28118, 14, 13107, 9902, 14, 286, 254, 401, 11060, 7587, 16, 188, 54, 14598, 11761, 282, 10081, 478, 8301, 325, 727, 14, 9701, 274, 5225, 22495, 14, 328, 4654, 4681, 324, 5099, 19724, 276, 7227, 286, 11769, 14, 348, 963, 348, 5704, 286, 7916, 46580, 2502, 254, 1922, 2703, 16, 188, 1853, 254, 20389, 1575, 274, 44690, 40925, 5299, 286, 254, 4681, 324, 8235, 22136, 22356, 14, 254, 19173, 4351, 4313, 713, 15715, 254, 6015, 27924, 16, 188, 54, 14598, 11761, 282, 20540, 3883, 12669, 275, 727, 14, 9701, 274, 43023, 6190, 23893, 4114, 20670, 14, 328, 3170, 2230, 40859, 14, 15410, 343, 10200, 276, 6338, 32617, 14, 286, 254, 2072, 12660, 16, 188, 3269, 2477, 1305, 432, 254, 2142, 286, 254, 21122, 274, 1518, 1483, 924, 282, 9260, 3820, 46870, 14, 31526, 4273, 403, 4610, 615, 28900, 328, 13107, 9902, 16, 188, 54, 14598, 11761, 282, 22532, 325, 46093, 5015, 91, 1155, 14, 3792, 274, 21367, 44, 14, 328, 254, 44473, 274, 254, 2485, 14, 254, 401, 7519, 41, 2703, 14, 286, 7270, 5661, 16, 188, 54, 14598, 11761, 282, 26523, 6279, 1997, 285, 25880, 14, 4078, 15381, 274, 47890, 15, 2879, 67, 44690, 40925, 14, 328, 6507, 254, 401, 7519, 41, 2703, 14, 16514, 743, 4163, 14, 286, 44690, 40925, 348, 248, 2530, 324, 9670, 5704, 16, 188, 54, 14598, 11761, 282, 45952, 1855, 250, 19109, 2248, 334, 1155, 14, 5783, 273, 9701, 274, 6297, 462, 7472, 14, 328, 254, 1922, 16601, 8548, 286, 254, 5511, 2472, 274, 13107, 9902, 16, 188, 54, 14598, 11761, 282, 3479, 1182, 325, 46067, 727, 14, 4078, 9701, 274, 18546, 67, 5153, 14, 328, 13922, 769, 40159, 276, 44690, 40925, 4, 16714, 286, 254, 1922, 16601, 4351, 16, 188, 1853, 254, 11675, 3778, 274, 28345, 2490, 14, 4273, 403, 6507, 743, 6319, 282, 21387, 254, 34236, 4681, 324, 9526, 286, 17635, 17962, 16, 188, 54, 14598, 11761, 282, 13883, 16929, 14, 4078, 15381, 274, 330, 2805, 52, 3127, 14, 328, 254, 2365, 282, 31183, 8262, 5172, 390, 642, 16682, 286, 4995, 5146, 276, 254, 2104, 1444, 254, 771, 727, 26165, 7280, 16, 188, 52, 39680, 315, 3509, 5939, 3886, 38361, 23505, 4009, 286, 254, 2365, 324, 15392, 276, 254, 7806, 8005, 403, 7895, 254, 2504, 276, 695, 2472, 348, 272, 310, 1607, 6480, 276, 254, 331, 1779, 16, 188, 54, 14598, 11761, 282, 13963, 354, 16, 46067, 727, 14, 8089, 274, 20858, 706, 1277, 29, 8118, 19585, 14, 328, 254, 2251, 286, 25852, 274, 254, 310, 1607, 8548, 276, 374, 18, 19, 20, 286, 254, 21164, 282, 2411, 248, 6480, 276, 1303, 15, 24898, 16582, 276, 374, 18, 19, 21, 286, 4317, 16, 188, 54, 14598, 11761, 282, 7524, 1469, 11952, 14, 11413, 274, 25094, 3864, 14, 328, 254, 3629, 274, 254, 1922, 2703, 286, 254, 2365, 8856, 327, 807, 321, 5325, 407, 254, 9932, 274, 5939, 1162, 2176, 1402, 16, 188, 54, 14598, 11761, 282, 771, 344, 301, 16932, 322, 12357, 14, 11413, 274, 12705, 2199, 437, 13559, 679, 14, 328, 695, 2472, 276, 254, 3564, 2363, 274, 254, 310, 1607, 8548, 286, 743, 4163, 328, 254, 16427, 16, 188, 54, 14598, 11761, 282, 12456, 2948, 6386 ]
[ 1, 10, 926, 1827, 16, 31255, 16, 16987, 14, 1827, 16, 2788, 11, 534, 188, 2360, 9956, 265, 39689, 10, 18730, 16, 6917, 2192, 477, 3407, 426, 3106, 16, 23384, 6009, 10, 14728, 65, 2582, 65, 1855, 31, 4937, 11, 477, 4358, 426, 3106, 16, 38577, 4664, 10, 39689, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 347, 3380, 18855, 39689, 30, 93, 18, 1965, 550, 19, 19895, 3333, 7910, 10, 1262, 16, 31255, 16, 435, 382, 14, 1827, 16, 31255, 16, 5401, 11, 534, 188, 2360, 16400, 40, 579, 10, 18730, 16, 6917, 2192, 477, 4358, 426, 3106, 16, 38577, 4664, 10, 39689, 11, 477, 3407, 426, 3106, 16, 23384, 6009, 10, 14728, 65, 2582, 65, 1855, 31, 4937, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 347, 39689, 40, 579, 30, 93, 18, 19895, 3333, 7910, 10, 1262, 16, 31255, 16, 16987, 11, 534, 188, 2360, 16400, 6643, 10, 18730, 16, 6917, 2192, 477, 3407, 426, 3106, 16, 23384, 6009, 10, 14728, 65, 2582, 31, 4937, 11, 477, 4358, 426, 3106, 16, 38577, 4664, 10, 39689, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 347, 39689, 6643, 30, 16987, 11469, 18, 19895, 3333, 7910, 10, 1262, 16, 31255, 16, 16987, 11, 534, 188, 2360, 16400, 6643, 56, 1548, 10, 18730, 16, 6917, 2192, 477, 4358, 9376, 426, 3106, 16, 38577, 4664, 10, 39689, 6643, 11, 477, 1294, 426, 3106, 16, 16014, 6009, 10, 6799, 31, 18, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 347, 39689, 6643, 30, 3039, 11469, 18, 1965, 1294, 11469, 19, 19895, 3333, 7910, 10, 926, 1827, 16, 31255, 9376, 16, 31255, 16, 16987, 14, 1827, 16, 2788, 11, 188, 188, 31515, 65, 54, 15144, 1384, 426, 314, 477, 5387, 3039, 985, 347, 16987, 8154, 477, 5387, 5401, 985, 347, 5401, 8154, 477, 5387, 435, 382, 985, 347, 435, 382, 8154, 188, 11, 534, 188, 2360, 1834, 2368, 10, 18730, 16, 6917, 2192, 477, 1631, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 20, 18, 14, 9898, 31, 31515, 65, 54, 15144, 1384, 14, 4145, 31, 18, 11, 477, 1294, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 20, 18, 22, 26, 14, 4311, 31, 4937, 11, 534, 188, 2360, 4493, 10, 18730, 16, 6917, 2192, 477, 1390, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 20, 23, 23, 11, 477, 2094, 65, 1554, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 20, 23, 23, 14, 9650, 31, 4937, 11, 477, 9433, 426, 3106, 16, 9460, 6009, 10, 21782, 31, 4937, 11, 477, 2426, 426, 3106, 16, 45484, 10, 21782, 31, 4937, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 1827, 16, 14063, 65, 1554, 534, 188, 2360, 5541, 2308, 10, 18730, 16, 6917, 2192, 477, 19151, 426, 3106, 16, 8436, 6009, 10, 647, 2694, 65, 3857, 31, 20, 18, 22, 26, 14, 647, 4311, 31, 4937, 14, 647, 1336, 65, 1139, 5313, 35156, 328, 254, 1242, 274, 254, 2787, 314, 75, 16, 71, 16, 347, 435, 382, 4, 684, 647, 684, 35156, 347, 435, 382, 17, 31255, 16, 2425, 21, 985, 532, 417, 347, 435, 382, 20, 17, 435, 382, 16, 2425, 21, 2719, 9, 477, 2312, 477, 9306, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 20, 23, 23, 11, 477, 9433, 426, 3106, 16, 9460, 6009, 10, 21782, 31, 4937, 11, 477, 7771, 426, 3106, 16, 38577, 4664, 10, 17233, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 1827, 16, 16987, 188, 0, 2855, 745, 7209, 188, 2855, 7481, 188, 2855, 11555, 188, 2855, 295, 188, 3933, 745, 7209, 1369, 42925, 12564, 4608, 534, 188, 2360, 47837, 26804, 10, 5912, 2192, 477, 11916, 411, 376, 789, 248, 31310, 14807, 14, 286, 8775, 695, 1802, 16, 11916, 477, 804, 4623, 4338, 21257, 1262, 14, 1802, 14, 1375, 35436, 2192, 647, 1800, 641, 958, 13510, 8239, 21700, 2678, 647, 2155, 10, 36476, 26804, 14, 1827, 481, 870, 4338, 21257, 424, 35436, 11, 647, 621, 65, 7147, 426, 7481, 16, 3839, 16, 43696, 10, 375, 16, 3839, 16, 43696, 10, 375, 16, 3839, 16, 43696, 18050, 3039, 870, 10409, 647, 1922, 65, 3839, 426, 7481, 16, 3839, 16, 13575, 10, 1194, 65, 7147, 14, 1802, 11, 647, 603, 7481, 16, 3839, 16, 18830, 10, 6608, 65, 3839, 2192, 926, 1827, 16, 3839, 426, 1922, 65, 3839, 647, 1952, 28, 926, 1827, 16, 3839, 426, 7481, 16, 3839, 16, 13575, 10, 784, 9321, 10, 10134, 14, 37269, 5134, 3023, 7604, 1358, 684, 11162, 1802, 11, 534, 188, 2360, 15318, 26804, 10, 36476, 26804, 2192, 477, 11916, 411, 376, 789, 272, 5854, 4817, 14, 286, 20534, 254, 3797, 3005, 324, 353, 16, 11916, 477, 804, 4623, 4338, 21257, 1262, 14, 2629, 14, 3140, 1554, 14, 27820, 31, 11033, 14, 1375, 35436, 2192, 647, 2155, 10, 11767, 26804, 14, 1827, 481, 870, 4338, 21257, 3839, 31, 9727, 1554, 14, 1375, 35436, 11, 647, 1827, 16, 4015, 426, 2629, 647, 1827, 16, 22450, 426, 27820, 1465, 804, 1916, 65, 8626, 10, 1262, 14, 12702, 2192, 647, 1076, 543, 1262, 16, 3839, 63, 558, 12702, 1465, 804, 2374, 65, 9007, 10, 1262, 14, 12702, 31, 11033, 14, 475, 82, 5593, 8626, 14, 1375, 35436, 2192, 647, 11916, 13921, 3797, 343, 6938, 286, 1076, 695, 3340, 348, 248, 11908, 2787, 16, 2621, 2512, 745, 7209, 16, 5736, 65, 9007, 1067, 324, 4139, 16, 647, 1196, 3457, 12702, 28, 248, 1581, 274, 2024, 6938, 647, 1196, 3457, 1642, 258, 8626, 28, 642, 39214, 6938, 282, 1477, 2049, 647, 1196, 3457, 39684, 8626, 28, 22737, 6938, 282, 1477, 2049, 647, 1196, 2238, 254, 3797, 434, 3340, 647, 11916, 647, 1574, 28, 926, 19896, 5216, 426, 745, 7209, 16, 19918, 12116, 16156, 1067, 5896, 1800, 3417, 16079, 328, 7268, 14, 9957, 11054, 16, 926, 1800, 641, 958, 13510, 8239, 2370, 20295, 4790, 926, 19896, 5216, 16, 23224, 16975, 18908, 745, 7209, 16, 19918, 40, 65, 2921, 43692, 4151, 35658, 4151, 926, 39684, 8626, 16, 1160, 6799, 2012, 5318, 484, 5216, 1358, 19896, 5216, 11, 647, 3584, 40444, 4608, 28, 926, 1477, 647, 39684, 8626, 16 ]
[ 1, 456, 869, 254, 1394, 4619, 254, 801, 2630, 14, 1004, 2214, 16691, 11057, 286, 835, 38747, 729, 16, 380, 801, 1694, 2704, 497, 11374, 407, 1599, 7759, 252, 14, 532, 254, 35932, 1856, 338, 18, 4400, 16621, 16, 309, 447, 650, 1663, 286, 563, 348, 1081, 6936, 11177, 13098, 282, 1115, 5667, 15, 484, 14, 532, 1599, 7759, 252, 7110, 282, 1703, 248, 1694, 1110, 1394, 387, 254, 2654, 16, 188, 13655, 624, 2704, 497, 1856, 407, 1599, 7759, 252, 1285, 254, 5742, 2819, 274, 254, 1250, 2630, 16, 1860, 5527, 254, 4175, 1110, 18544, 14, 416, 560, 1974, 67, 255, 33736, 695, 1250, 440, 29834, 265, 338, 18, 1110, 1382, 274, 254, 2286, 282, 1394, 576, 18, 15, 21, 26, 16, 2003, 650, 321, 615, 2379, 2687, 276, 254, 1394, 14, 348, 254, 15351, 34698, 6568, 24631, 801, 248, 13521, 14, 835, 248, 576, 27, 15, 22, 23, 1394, 16, 731, 852, 417, 1336, 327, 416, 7811, 2350, 4717, 1391, 324, 248, 813, 28, 20, 26, 13353, 14, 6755, 1599, 7759, 252, 457, 85, 5585, 282, 593, 275, 282, 35531, 26631, 16, 380, 2099, 3929, 2350, 282, 1599, 7759, 252, 14, 9619, 607, 22, 15, 25, 20, 16, 188, 41120, 1318, 5604, 16667, 3445, 3123, 275, 11374, 374, 18, 2704, 324, 254, 35932, 327, 7046, 16, 29081, 1318, 3779, 45, 13913, 8470, 1856, 338, 19, 14, 286, 41942, 1572, 404, 885, 731, 252, 4061, 338, 18, 16, 23394, 657, 16, 18146, 254, 1527, 7046, 14, 8470, 286, 16667, 3445, 3123, 275, 650, 959, 8987, 3893, 23546, 276, 2704, 14, 21233, 374, 19, 286, 338, 25, 2881, 16, 188, 686, 21201, 252, 14, 1427, 2728, 14, 254, 35932, 286, 254, 28099, 3720, 29638, 254, 2099, 338, 23, 15, 19, 23, 387, 254, 2722, 274, 254, 801, 6961, 16, 380, 1250, 12467, 254, 28099, 9619, 3893, 254, 2332, 274, 2704, 1856, 407, 416, 560, 1974, 67, 255, 16, 4539, 254, 374, 21, 2704, 11374, 276, 254, 2543, 14, 254, 35932, 573, 756, 2712, 16, 1860, 1041, 597, 324, 3542, 2704, 14, 32491, 12345, 43377, 28829, 14, 18834, 32582, 9963, 14, 286, 8470, 6344, 4646, 254, 18544, 282, 756, 4941, 2704, 16, 496, 254, 6815, 6961, 14, 254, 35932, 35367, 254, 1394, 282, 8195, 756, 7261, 2704, 3108, 657, 16, 18146, 813, 18, 15, 25, 27, 16, 188, 12075, 4717, 2873, 324, 416, 7811, 276, 1364, 2286, 457, 85, 2099, 497, 8251, 30188, 20799, 5161, 343, 338, 18, 2704, 286, 16667, 3445, 3123, 275, 286, 731, 252, 343, 4175, 2704, 1004, 16, 826, 6612, 14, 254, 35932, 587, 1115, 959, 387, 1683, 1385, 8011, 302, 2965, 6640, 16, 0, 1853, 254, 2504, 457, 85, 1773, 276, 9374, 36678, 2289, 14, 9804, 1309, 18357, 1339, 321, 1143, 1012, 282, 5256, 248, 9377, 1773, 6015, 324, 2764, 14248, 16, 188, 23784, 457, 85, 1773, 11019, 311, 1497, 24078, 14, 286, 5569, 3095, 282, 29008, 366, 286, 20902, 403, 9458, 14, 254, 1840, 587, 751, 7007, 16, 188, 339, 11019, 25068, 286, 32972, 3906, 282, 321, 758, 33217, 14, 17740, 14, 3944, 1773, 587, 2411, 2746, 282, 2023, 16, 188, 13966, 4861, 1102, 327, 8864, 328, 1773, 11019, 555, 417, 4783, 597, 343, 3095, 16, 496, 695, 1280, 14, 30944, 282, 3059, 14, 380, 18637, 28870, 274, 11290, 31688, 309, 33554, 276, 9938, 286, 46481, 7575, 16540, 46490, 14, 254, 26696, 39, 7980, 327, 407, 374, 18, 20, 18, 254, 18544, 324, 37443, 1773, 6564, 286, 39427, 1914, 587, 321, 370, 26, 22, 6320, 16, 188, 6942, 282, 254, 26696, 39, 1280, 14, 254, 7825, 869, 1615, 8864, 286, 7363, 273, 324, 3095, 311, 10718, 16, 496, 374, 18, 19, 18, 14, 8864, 369, 5828, 282, 321, 370, 21, 24, 16, 22, 6320, 343, 248, 370, 27, 19, 16, 20, 6320, 872, 1091, 248, 7825, 274, 370, 23, 22, 16, 26, 6320, 16, 380, 1361, 6319, 276, 374, 18, 20, 18, 8864, 587, 321, 370, 22, 19, 16, 23, 6320, 343, 248, 370, 19, 20, 23, 16, 27, 6320, 872, 1091, 272, 370, 26, 22, 16, 22, 6320, 7825, 16, 496, 374, 18, 22, 18, 254, 1361, 7980, 370, 23, 19, 16, 25, 6320, 1129, 5108, 343, 248, 370, 19, 27, 23, 16, 22, 6320, 872, 1091, 248, 7825, 274, 370, 19, 22, 21, 16, 25, 6320, 16, 188, 510, 948, 14, 2474, 282, 254, 31196, 13001, 14, 311, 327, 603, 254, 3184, 274, 1464, 276, 436, 2504, 311, 282, 321, 8610, 14, 1773, 11019, 1339, 321, 5360, 16, 1223, 327, 2501, 587, 452, 282, 1663, 432, 9118, 16, 188, 53, 318, 31956, 14, 33017, 896, 311, 2102, 6349, 836, 2456, 16, 4644, 282, 254, 6145, 8217, 14, 35035, 3801, 28517, 9529, 274, 8688, 276, 254, 2318, 374, 18, 18, 18, 457, 85, 282, 5481, 286, 3054, 11019, 324, 17181, 3017, 16, 378, 5560, 273, 272, 5828, 370, 20, 18, 18, 2945, 14, 254, 35035, 3801, 5816, 274, 5883, 29108, 555, 643, 6548, 282, 2490, 4009, 282, 1336, 10992, 1919, 387, 254, 6557, 1091, 2210, 5299, 327, 324, 688, 452, 5326, 1438, 432, 8864, 1444, 370, 25, 23, 248, 1722, 324, 1773, 282, 4679, 370, 21, 18, 18, 16, 188, 510, 31196, 13001, 7980, 327, 407, 374, 18, 21, 23, 14, 254, 16133, 1773, 4665, 590, 11375, 587, 452, 2477, 16356, 16, 496, 2025, 14, 254, 3561, 286, 254, 4117, 587, 2377, 254, 944, 13753, 7935, 7674, 14, 769, 3014, 2194, 872, 15449, 324, 15028, 624, 683, 2630, 254, 3746, 2194, 1397, 1223, 436, 2042, 7583, 282, 1709, 16, 380, 3746, 1245, 7935, 587, 11159, 3893, 432, 370, 19, 21, 6320, 248, 802, 276, 374, 18, 19, 18, 282, 2674, 495, 18, 6320, 20422, 407, 254, 374, 18, 22, 18, 457, 85, 16, 188, 510, 26696, 39, 457, 85, 4596, 311, 327, 276, 254, 2734, 2764, 14, 6921, 587, 452, 282, 2874, 343, 254, 33473, 274, 1637, 9377, 286, 624, 7996, 1773, 12832, 16, 826, 774, 2408, 17109, 390, 10996, 7169, 328, 1773, 8132, 390, 10027, 282, 757, 21069, 1773, 324, 8841, 286, 9094, 16, 1678, 14, 254, 11817, 274, 254, 2764, 1840, 587, 321, 31217, 2154, 5077, 2584, 1012, 16, 188, 510, 26696, 39, 1280, 2957, 327 ]
[ 1, 26, 14, 338, 16, 18, 1077, 191, 19780, 543, 22, 16, 22, 14, 576, 16, 22, 14, 374, 16, 20, 14, 848, 16, 25, 63, 3185, 23125, 1827, 16, 8052, 17762, 781, 16, 455, 10212, 10, 8630, 14, 933, 65, 1234, 14, 391, 33488, 31, 19, 71, 15, 21, 581, 191, 13855, 14046, 567, 4608, 276, 347, 558, 1827, 16, 18112, 65, 1554, 11, 34406, 188, 339, 4623, 1554, 870, 36655, 870, 7073, 870, 5141, 3451, 1104, 317, 65, 329, 42933, 16, 7073, 1067, 0, 5, 43384, 12088, 28, 38931, 15, 26, 43384, 188, 188, 3933, 4623, 31111, 870, 1369, 48052, 65, 21787, 924, 188, 188, 3933, 18717, 9485, 1369, 27335, 188, 188, 3933, 3553, 1711, 16, 6271, 16, 5310, 16, 18730, 1369, 751, 65, 7443, 188, 188, 8749, 426, 751, 65, 7443, 2012, 37560, 65, 584, 35011, 1358, 684, 8749, 3291, 534, 188, 2360, 5614, 5890, 10, 4519, 266, 16, 13056, 5890, 14, 27335, 16, 5890, 494, 2192, 477, 11916, 477, 3257, 1083, 254, 931, 6952, 276, 254, 5614, 27335, 16, 477, 11916, 477, 2426, 426, 27335, 16, 8436, 6009, 10, 647, 3279, 31, 4937, 14, 889, 65, 8324, 31, 4937, 14, 7444, 65, 1554, 5313, 37560, 65, 8488, 17, 5826, 65, 1139, 16, 9867, 3291, 1465, 20117, 426, 27335, 16, 16014, 6009, 10, 7443, 65, 9321, 5313, 5826, 255, 65, 302, 1358, 3515, 31, 4937, 11, 477, 20117, 65, 1554, 426, 27335, 16, 8436, 6009, 1067, 1465, 11877, 426, 27335, 16, 16014, 6009, 10, 7443, 65, 9321, 5313, 24037, 870, 37560, 65, 302, 3291, 477, 11877, 65, 3323, 809, 426, 27335, 16, 8436, 6009, 1067, 477, 11877, 65, 1554, 426, 27335, 16, 8436, 6009, 1067, 1465, 9152, 426, 27335, 16, 16014, 6009, 10, 7443, 65, 9321, 5313, 24037, 65, 302, 3291, 477, 9152, 65, 3323, 809, 426, 27335, 16, 8436, 6009, 1067, 477, 9152, 65, 18542, 426, 27335, 16, 8436, 6009, 1067, 1465, 3446, 426, 27335, 16, 23384, 6009, 10, 7443, 65, 9321, 5313, 21651, 3291, 477, 9055, 426, 27335, 16, 23384, 6009, 10, 7443, 65, 9321, 5313, 37555, 3291, 1465, 804, 751, 65, 7443, 10, 1262, 2192, 647, 1076, 5614, 1465, 804, 10077, 65, 5826, 255, 65, 1554, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 16, 5826, 255, 16, 19150, 603, 10644, 16, 5826, 255, 1952, 10644, 16, 19150, 1465, 804, 10077, 65, 37560, 65, 3323, 809, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 16, 24037, 16, 37560, 16, 3323, 809, 1465, 804, 10077, 65, 37560, 65, 1554, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 16, 24037, 16, 37560, 16, 1554, 1465, 804, 10077, 65, 24037, 65, 3323, 809, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 16, 24037, 16, 3323, 809, 1465, 804, 10077, 65, 24037, 65, 18542, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 16, 24037, 16, 18542, 1465, 804, 3485, 65, 13672, 18955, 10, 1262, 14, 960, 31, 11033, 2192, 647, 1076, 5614, 16, 25099, 16, 455, 4872, 47334, 10, 35987, 31, 5489, 11, 1465, 804, 1218, 65, 13672, 18955, 10, 1262, 14, 960, 31, 11033, 2192, 647, 1076, 5614, 16, 25099, 16, 455, 4872, 47334, 10, 35987, 31, 5489, 481, 6946, 65, 4768, 2012, 24037, 1358, 684, 5826, 255, 3291, 188, 0, 5, 43384, 12088, 28, 38931, 15, 26, 43384, 188, 3933, 6248, 16, 18293, 1369, 35355, 65, 18293, 348, 35355, 188, 3933, 6248, 16, 5310, 1369, 13689, 188, 3933, 6248, 16, 88, 20, 1369, 45959, 47, 14622, 188, 3933, 40113, 16, 5310, 1369, 3106, 534, 188, 2360, 47097, 10, 20217, 47, 14622, 2192, 1465, 804, 31659, 10, 1262, 14, 390, 79, 2192, 647, 1800, 34452, 1631, 684, 1793, 292, 2084, 1630, 313, 34937, 46900, 16, 37355, 65, 3107, 9, 647, 13689, 16, 1855, 65, 11316, 2012, 850, 1816, 273, 65, 850, 292, 410, 2387, 313, 37593, 37355, 1358, 684, 37355, 65, 3107, 1358, 12474, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 9, 2682, 3958, 65, 3857, 31, 20, 23, 23, 14, 3515, 31, 4937, 14, 13689, 65, 4519, 31, 4937, 581, 12474, 1920, 65, 6799, 31, 5489, 11, 2621, 1800, 34452, 1631, 684, 1793, 292, 2084, 1630, 313, 34937, 46900, 16, 262, 65, 16383, 65, 37355, 9, 647, 13689, 16, 1855, 65, 11316, 2012, 850, 1816, 273, 65, 850, 292, 410, 2387, 313, 37593, 37355, 1358, 684, 262, 65, 16383, 65, 37355, 1358, 12474, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 24222, 6009, 9, 2682, 6799, 31, 5489, 581, 12474, 1920, 65, 6799, 31, 5489, 11, 25178, 804, 23516, 10, 1262, 14, 390, 79, 2192, 647, 1800, 1569, 1044, 273, 1631, 684, 1793, 292, 2084, 1630, 313, 34937, 46900, 16, 37355, 65, 3107, 9, 647, 13689, 16, 15983, 65, 11316, 2012, 850, 1816, 273, 65, 850, 292, 410, 2387, 313, 37593, 37355, 1358, 684, 37355, 65, 3107, 3291, 2621, 1800, 1569, 1044, 273, 1631, 684, 1793, 292, 2084, 1630, 313, 34937, 46900, 16, 262, 65, 16383, 65, 37355, 9, 647, 13689, 16, 15983, 65, 11316, 2012, 850, 1816, 273, 65, 850, 292, 410, 2387, 313, 37593, 37355, 1358, 684, 262, 65, 16383, 65, 37355, 3291, 25178, 3106, 426, 550, 647, 684, 14006, 16, 4259, 5141, 550, 926, 684, 22347, 5141, 26491, 5912, 65, 1554, 5141, 684, 6811, 34125, 926, 684, 302, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 21478, 6009, 1358, 23567, 26491, 20777, 65, 2290, 5141, 684, 4937, 13614, 581, 926, 684, 1554, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 1358, 23567, 26491, 21831, 5141, 684, 4937, 1358, 684, 3958, 65, 3857, 5141, 684, 26, 18, 13614, 581, 926, 684, 468, 8110, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 4768, 16, 9928, 1934, 9928, 6009, 1358, 23567, 26491, 927, 5141, 347, 525, 4862, 14006, 16, 36798, 5868, 985, 684, 14370, 3773, 5364, 5141, 684, 5489, 1358, 684, 21782, 5141, 684, 4937, 9, 2240, 647, 3454, 647, 684, 14006, 16, 32075, 5141, 550, 926, 684, 22347, 5141, 26491, 46593, 5141, 347, 2012, 5901, 65, 875, 870, 1194, 65, 1911, 1358, 684, 5901, 65, 875, 870, 7443, 1358, 684, 19303, 4963, 3291, 985, 684, 21831, 65, 35386, 5141, 7788 ]
[ 1, 5, 1180, 15969, 5876, 2522, 16, 188, 5, 314, 49, 2491, 1316, 14, 323, 2491, 2196, 1316, 11, 426, 314, 21, 16, 18, 14, 338, 16, 23, 481, 188, 188, 1244, 20938, 426, 576, 188, 188, 37, 18, 426, 314, 18, 14, 338, 14, 338, 1209, 374, 14, 470, 11, 188, 37, 19, 426, 314, 18, 14, 338, 1209, 576, 14, 338, 14, 338, 1209, 576, 11, 188, 188, 35, 18, 426, 314, 477, 34189, 477, 314, 19, 14, 581, 477, 314, 19, 1209, 576, 14, 338, 1209, 576, 581, 477, 314, 18, 14, 470, 14, 470, 11, 188, 11, 188, 35, 19, 426, 314, 477, 34189, 477, 314, 19, 1209, 576, 14, 581, 477, 314, 19, 14, 470, 581, 477, 314, 18, 14, 470, 14, 338, 1209, 576, 11, 188, 11, 188, 188, 36, 18, 426, 314, 477, 34189, 477, 314, 18, 14, 581, 477, 314, 19, 14, 338, 1209, 374, 581, 477, 314, 18, 14, 470, 14, 470, 581, 188, 11, 188, 36, 19, 426, 314, 477, 34189, 477, 3274, 19, 1209, 374, 14, 581, 477, 314, 19, 14, 470, 581, 477, 314, 20, 14, 428, 19, 14, 338, 1209, 374, 11, 188, 11, 188, 188, 1598, 426, 314, 19, 1209, 719, 14, 338, 1209, 719, 14, 374, 1209, 495, 14, 470, 11, 188, 2383, 19, 426, 3274, 19, 14, 576, 1209, 495, 14, 374, 1209, 495, 14, 470, 11, 188, 2383, 20, 426, 314, 19, 14, 428, 22, 1209, 495, 14, 338, 1209, 495, 14, 470, 11, 188, 2383, 21, 426, 314, 20, 14, 428, 22, 1209, 495, 14, 428, 20, 1209, 495, 14, 470, 11, 188, 2383, 22, 426, 3274, 20, 14, 607, 1209, 495, 14, 428, 20, 1209, 495, 14, 338, 11, 188, 0, 31311, 188, 1516, 311, 1903, 286, 440, 2021, 19262, 3571, 4299, 713, 254, 1321, 4877, 16, 188, 188, 30427, 311, 1903, 282, 3378, 14, 9741, 14, 15025, 14, 889, 14, 17605, 14, 5416, 14, 390, 188, 7941, 3230, 436, 3571, 14, 1996, 276, 2520, 2063, 825, 390, 348, 248, 17616, 188, 25570, 14, 324, 665, 3964, 14, 6092, 390, 1303, 15, 36332, 14, 286, 407, 665, 188, 29704, 16, 188, 188, 686, 33563, 327, 9196, 9201, 5168, 14, 254, 2410, 390, 4337, 188, 1153, 436, 3571, 5354, 8803, 665, 286, 512, 9201, 1564, 276, 254, 188, 32164, 282, 254, 1321, 4877, 16, 839, 1041, 436, 30617, 324, 254, 5485, 188, 1153, 254, 1321, 387, 1733, 286, 282, 254, 47913, 274, 772, 44962, 286, 188, 12222, 640, 16, 839, 18074, 436, 30617, 282, 321, 272, 18924, 765, 274, 188, 1621, 20852, 8692, 276, 14152, 10257, 274, 512, 1225, 286, 2764, 3453, 282, 436, 188, 32164, 758, 9201, 1533, 16, 188, 188, 9452, 18739, 3977, 32064, 347, 1675, 3977, 985, 14588, 22458, 3368, 8867, 18771, 14, 188, 4100, 21711, 4012, 25042, 14, 30724, 17204, 5638, 24822, 5766, 2909, 15039, 3368, 188, 36652, 19786, 14, 19917, 6474, 330, 19783, 19517, 4738, 35059, 1029, 6583, 2554, 16777, 16, 188, 1029, 7449, 29525, 31054, 2909, 30363, 16436, 8500, 33459, 6474, 8867, 44669, 14, 30867, 4012, 188, 38299, 26328, 14, 31996, 2856, 2842, 36037, 3368, 31639, 14, 33622, 4012, 34168, 14, 188, 1254, 30339, 10445, 14, 15889, 3368, 4012, 2856, 41178, 8067, 9032, 2909, 18739, 4012, 2909, 18671, 4012, 188, 38299, 47737, 18658, 2856, 2909, 18739, 16, 188, 188, 2148, 624, 1460, 14, 4356, 3606, 282, 653, 2337, 1333, 329, 21329, 16, 2000, 4217, 188, 188, 34, 7382, 28, 18026, 13191, 15710, 188, 31311, 188, 2855, 35553, 188, 188, 1510, 378, 373, 258, 3836, 7357, 10, 35, 14, 36, 2192, 477, 11916, 477, 826, 17419, 254, 271, 373, 258, 3836, 5764, 282, 3687, 248, 1360, 432, 330, 282, 378, 14973, 16094, 28, 512, 1246, 14, 91, 3485, 8333, 327, 403, 276, 254, 1360, 477, 11916, 477, 603, 330, 61, 18, 63, 2224, 378, 61, 18, 5064, 1800, 339, 330, 286, 378, 3768, 254, 1057, 1558, 5091, 14, 3687, 248, 4800, 1360, 276, 712, 647, 17125, 426, 210, 338, 603, 378, 61, 19, 63, 9855, 330, 61, 19, 63, 1952, 428, 19, 1800, 8406, 504, 1826, 282, 3687, 31659, 390, 23516, 647, 1076, 21151, 35, 61, 18, 1077, 75, 11, 324, 883, 276, 1246, 6152, 10, 35, 61, 19, 1077, 36, 61, 19, 20250, 19116, 420, 14, 19116, 420, 8866, 7627, 477, 27985, 330, 61, 19, 63, 2224, 378, 61, 19, 5064, 1800, 339, 330, 286, 378, 3768, 254, 1057, 712, 5091, 14, 3687, 248, 4800, 1360, 276, 1558, 647, 17125, 426, 210, 338, 603, 378, 61, 18, 63, 9855, 330, 61, 18, 63, 1952, 428, 19, 1800, 8406, 504, 1826, 282, 3687, 31659, 390, 23516, 647, 1076, 21151, 75, 14, 35, 61, 19, 3185, 324, 883, 276, 1246, 6152, 10, 35, 61, 18, 1077, 36, 61, 18, 20250, 19116, 420, 14, 19116, 420, 8866, 14973, 1952, 28, 1800, 2440, 20712, 248, 15969, 1360, 647, 17125, 90, 426, 338, 603, 378, 61, 18, 63, 9855, 330, 61, 18, 63, 1952, 428, 19, 1800, 1160, 254, 3758, 274, 1360, 9994, 647, 17125, 91, 426, 338, 603, 378, 61, 19, 63, 9855, 330, 61, 19, 63, 1952, 428, 19, 23881, 898, 426, 7954, 647, 341, 1190, 426, 330, 61, 19, 63, 1800, 1160, 712, 1242, 647, 14278, 426, 330, 15, 36, 1800, 1161, 3576, 14278, 428, 7189, 330, 286, 378, 403, 35553, 15965, 647, 14278, 426, 2054, 10, 3323, 1671, 61, 19, 31479, 9346, 10, 3323, 1671, 61, 18, 26874, 647, 2160, 426, 470, 16, 18, 1800, 18529, 877, 712, 2160, 4678, 647, 324, 883, 276, 1246, 6152, 10, 35, 61, 18, 1077, 36, 61, 18, 20250, 19116, 420, 90, 14, 19116, 420, 90, 2192, 1800, 1507, 512, 1558, 2127, 14, 3109, 3461, 276, 1558, 926, 898, 16, 9436, 4324, 75, 14, 91, 1190, 1210, 926, 2160, 6892, 14278, 926, 1205, 2160, 9855, 470, 16, 23, 28, 1800, 5880, 254, 712, 2160, 311, 1480, 1733, 14, 3109, 3461, 276, 712, 1003, 341, 1190, 6892, 17125, 91, 1003, 2160, 24064, 338, 16, 18, 1003, 898, 16, 9436, 4324, 75, 14, 91, 1190, 1210, 647, 1076, 898, 188, 188, 1510, 378, 373, 258, 3836, 28643, 10, 35, 14, 36, 2192, 477, 11916, 477, 16059, 254 ]
[ 1, 324, 254, 9104, 274, 7417, 368, 18074, 282, 8033, 633, 13957, 7103, 254, 3782, 327, 368, 5053, 282, 8106, 282, 1041, 16, 380, 977, 4596, 311, 248, 2298, 624, 683, 248, 4298, 32181, 16, 1268, 353, 12991, 774, 4780, 321, 248, 6954, 16, 188, 3992, 353, 434, 1652, 8010, 713, 1623, 1623, 1837, 324, 2876, 1002, 11728, 1062, 11728, 32227, 7928, 32181, 1996, 3783, 390, 1002, 276, 254, 17103, 8548, 16, 1664, 403, 7223, 18560, 274, 7158, 338, 24, 31534, 327, 368, 476, 3489, 432, 16, 31241, 14, 596, 476, 625, 756, 4349, 36746, 286, 8823, 91, 8125, 13846, 16, 188, 686, 1068, 368, 452, 688, 18685, 668, 772, 7251, 285, 390, 9961, 3713, 16130, 14, 811, 1602, 286, 772, 2214, 587, 8372, 368, 16, 1395, 587, 1623, 1339, 997, 324, 6490, 14, 1544, 360, 2277, 1398, 283, 441, 16, 0, 50, 24307, 16769, 16087, 45768, 447, 276, 18197, 67, 14, 4851, 314, 4141, 11, 387, 254, 418, 4151, 23643, 4509, 26350, 15214, 3, 188, 1516, 587, 12991, 9165, 353, 282, 321, 7722, 16, 188, 15412, 85, 12406, 282, 1315, 729, 2014, 254, 7760, 13537, 486, 274, 633, 1683, 16, 1678, 14, 254, 10202, 5925, 6706, 432, 2485, 282, 1074, 561, 843, 633, 6104, 1868, 16, 4851, 1903, 6574, 6329, 18550, 276, 18197, 67, 14, 6408, 2485, 282, 4842, 16, 26719, 17740, 1017, 2417, 452, 1612, 12721, 274, 27664, 324, 10849, 6574, 6329, 18550, 276, 4851, 43272, 16, 11475, 14, 353, 476, 4955, 282, 642, 2779, 573, 643, 15225, 16, 14933, 2328, 272, 4205, 327, 254, 2967, 2602, 8468, 328, 633, 4717, 16, 188, 1982, 368, 1038, 625, 2033, 286, 403, 1628, 343, 370, 19, 14, 22, 20, 23, 282, 3051, 328, 13416, 286, 2849, 282, 785, 343, 16, 1223, 368, 452, 1652, 5529, 6329, 12968, 327, 4045, 836, 4009, 33, 3996, 1093, 7702, 835, 8013, 276, 374, 18, 18, 27, 348, 40445, 865, 8998, 10582, 1899, 282, 695, 20775, 16, 1838, 1125, 43104, 13845, 668, 10849, 6574, 6329, 18550, 276, 18197, 67, 14, 6408, 3783, 286, 7085, 633, 7980, 593, 327, 254, 4807, 7109, 1042, 417, 3437, 2151, 282, 2014, 248, 2330, 12699, 14670, 16, 496, 436, 5779, 670, 353, 9957, 282, 765, 286, 3713, 3831, 34109, 324, 6211, 14, 25508, 3778, 14, 1574, 282, 1074, 248, 4474, 2413, 274, 633, 1193, 1683, 16, 1395, 2014, 324, 254, 12583, 20, 20, 29839, 25453, 12997, 14, 407, 18202, 286, 29839, 834, 248, 7771, 16576, 434, 1096, 6329, 1063, 5938, 16, 8229, 5441, 282, 3957, 668, 3133, 343, 836, 4400, 16, 2640, 1738, 6329, 7702, 641, 2563, 748, 1479, 274, 3709, 314, 10059, 348, 254, 1364, 2115, 327, 555, 1612, 390, 641, 1491, 1294, 14, 353, 1503, 2730, 633, 6329, 9132, 4598, 2612, 1286, 368, 2314, 15224, 266, 286, 1926, 297, 2252, 14, 1041, 2056, 282, 7085, 254, 4009, 597, 407, 248, 1181, 2103, 4236, 683, 254, 3278, 16, 826, 3290, 6844, 10510, 248, 2072, 327, 8460, 1637, 2424, 10879, 683, 7760, 7617, 16, 188, 1516, 1408, 476, 1354, 282, 3570, 29111, 40792, 1358, 310, 715, 1438, 282, 13353, 615, 7363, 248, 1612, 624, 16, 1664, 403, 15485, 274, 2110, 4285, 2332, 327, 587, 1862, 512, 615, 3095, 16, 1860, 7856, 5228, 836, 4806, 14, 368, 403, 12352, 1444, 286, 2241, 282, 633, 1096, 276, 248, 18914, 390, 642, 1963, 3442, 16, 1395, 872, 282, 321, 276, 7131, 14, 8920, 2624, 5495, 641, 2563, 603, 368, 18916, 16, 11352, 436, 713, 7966, 670, 11871, 324, 347, 9736, 434, 1652, 254, 3021, 4, 1205, 248, 37703, 2408, 29, 960, 756, 3132, 4105, 14, 12320, 254, 4653, 274, 254, 6633, 383, 1789, 668, 3686, 276, 1017, 6948, 1470, 29866, 774, 669, 417, 512, 1903, 6574, 6329, 18550, 4273, 14, 1920, 276, 2482, 28, 399, 30633, 14, 2514, 4360, 368, 476, 751, 324, 4065, 10730, 286, 642, 2533, 327, 403, 1480, 1157, 282, 4319, 4987, 6326, 390, 642, 34109, 16, 188, 5910, 6329, 4273, 14, 286, 1074, 561, 327, 368, 961, 328, 254, 4009, 274, 1125, 1015, 4273, 286, 615, 16893, 10200, 16, 1664, 4417, 248, 1110, 1385, 633, 7771, 1480, 16, 6499, 452, 9548, 8088, 811, 407, 12445, 282, 254, 23071, 16, 8918, 14, 436, 5407, 587, 1970, 368, 830, 596, 587, 452, 282, 1354, 633, 1096, 311, 669, 10047, 248, 7427, 276, 254, 1527, 802, 16, 3774, 12352, 276, 436, 2504, 933, 1309, 272, 2371, 2701, 347, 15193, 1181, 324, 633, 6329, 2485, 14, 368, 476, 563, 282, 5589, 449, 826, 587, 5587, 597, 368, 933, 997, 387, 254, 1972, 2042, 274, 1096, 6329, 282, 4306, 6111, 16, 496, 436, 1068, 14, 254, 6252, 774, 1602, 2075, 513, 942, 563, 3320, 16, 731, 434, 10054, 668, 254, 4230, 343, 763, 1015, 14329, 8333, 747, 31135, 15, 927, 15, 46310, 1020, 286, 31135, 15, 927, 15, 91, 258, 16, 27505, 3617, 533, 452, 282, 7085, 650, 321, 963, 687, 370, 20, 14, 18, 18, 18, 248, 802, 532, 321, 6425, 274, 16, 13919, 407, 5859, 16700, 434, 2156, 14790, 4932, 14, 347, 35, 35174, 9548, 311, 248, 977, 1116, 4306, 4807, 368, 4306, 428, 1334, 1181, 2501, 432, 353, 449, 0, 44680, 1159, 328, 19806, 24042, 4417, 4133, 869, 7082, 11115, 328, 17028, 1013, 1068, 1240, 1885, 286, 19534, 274, 3736, 13185, 14, 286, 1093, 327, 2683, 328, 14416, 931, 16, 496, 4359, 14, 436, 1240, 32587, 254, 16719, 274, 2955, 494, 457, 85, 2660, 282, 4541, 3784, 276, 8189, 2415, 3819, 14, 1707, 328, 5715, 15, 5097, 2416, 931, 16, 380, 3802, 32644, 7969, 1230, 10875, 732, 38084, 314, 10117, 24911, 4009, 11, 276, 1015, 8815, 274, 6795, 348, 10234, 407, 2955, 494, 16, 380, 4202, 6409, 327, 10192, 1091, 1826, 6548, 390, 17109, 1091, 4417, 624, 1794, 276, 2703, 15, 3066, 26972, 683, 276, 615, 37713, 20775, 286, 327, 15335, 1013, 7969, 4179, 311, 272, 1726, 4629, 276, 8270, 24911, 16, 1678, 14, 626, 311, 348, 1181, 9726, 1525, 254, 1015, 2504, 8815, 348, 869, 729, 14, 286, 2362, 37713, 2963, 16, 496, 22077, 457, 85, 1068, 14, 1017, 24911, 311, 5514, 343, 1017, 7869, 1296, 14, 4501, 254, 2456, 274, 248, 2714, 22486, 281, 4900, 457, 5535, 16, 3774, 7969, 4179, 774, 321 ]
[ 1, 282, 2023, 4073, 3360, 286, 2601, 274, 1773, 324, 30146, 22422, 387, 254, 1708, 274, 254, 15041, 666, 960, 254, 5909, 10718, 1964, 16, 188, 510, 1280, 2225, 28, 769, 35, 3532, 274, 33177, 72, 437, 457, 85, 4747, 12406, 282, 452, 643, 14261, 343, 248, 9430, 10718, 1964, 543, 4465, 4288, 1773, 387, 512, 2008, 63, 348, 628, 274, 254, 1252, 3932, 8692, 29, 3082, 254, 5210, 5909, 10718, 1964, 543, 4465, 555, 282, 321, 11834, 432, 248, 3183, 3821, 63, 369, 6334, 286, 7128, 1397, 44448, 27105, 763, 642, 47754, 274, 3532, 9865, 1849, 254, 5759, 274, 248, 8461, 746, 2081, 975, 286, 254, 1956, 21615, 4568, 1129, 848, 3472, 1480, 6708, 16, 1678, 353, 1042, 417, 7723, 2657, 836, 31047, 348, 3468, 5346, 324, 2863, 274, 1464, 16, 731, 11023, 327, 254, 21615, 4568, 650, 452, 643, 769, 36711, 286, 7996, 282, 1767, 348, 628, 274, 665, 1252, 3932, 8692, 6423, 188, 510, 11814, 23796, 14, 432, 248, 4707, 2520, 14, 327, 254, 3398, 5672, 555, 2102, 19974, 687, 495, 18, 2945, 16076, 286, 6987, 432, 254, 14491, 274, 610, 13468, 1275, 286, 24741, 11930, 286, 254, 13355, 386, 11050, 42362, 14, 286, 327, 596, 403, 4917, 282, 10429, 286, 4429, 668, 607, 18, 18, 2165, 27513, 286, 745, 15, 20362, 640, 3103, 276, 254, 1252, 3932, 8692, 16, 0, 20953, 254, 5316, 1565, 432, 633, 1738, 16, 188, 3912, 15, 252, 15, 530, 21196, 5674, 286, 16947, 343, 248, 9595, 6025, 33561, 390, 17551, 12120, 382, 343, 374, 18, 18, 13, 2942, 274, 2982, 3609, 276, 29151, 286, 3753, 1767, 16, 188, 22, 18, 15596, 432, 687, 495, 14, 18, 18, 18, 274, 633, 6208, 11324, 14, 1648, 633, 28456, 34178, 324, 2713, 6179, 14, 3941, 14, 8428, 6025, 14, 2710, 2642, 14, 286, 624, 16, 188, 22283, 286, 4184, 274, 633, 3941, 286, 4456, 282, 3054, 633, 44014, 286, 3184, 274, 1464, 16, 188, 6539, 17598, 274, 633, 14486, 286, 1963, 2803, 282, 1949, 2033, 633, 2365, 1738, 10228, 16, 188, 35, 4311, 286, 47374, 44014, 2035, 4196, 31167, 282, 633, 931, 286, 7148, 407, 633, 330, 1054, 1064, 27481, 16, 188, 24, 21, 7, 274, 2672, 663, 573, 1656, 2237, 274, 14192, 399, 14, 248, 2417, 2715, 324, 37780, 14, 4255, 713, 248, 5708, 2413, 16, 188, 23, 19, 7, 274, 2672, 663, 573, 1656, 2237, 274, 39061, 495, 85, 14, 248, 2417, 2715, 324, 2710, 2642, 14, 4255, 713, 248, 5708, 2413, 16, 188, 26, 25, 7, 274, 2672, 663, 3428, 596, 1848, 457, 86, 865, 843, 282, 3051, 248, 5708, 1464, 641, 3248, 3428, 327, 1026, 16, 188, 26, 22, 7, 274, 2672, 663, 3428, 596, 573, 3542, 1423, 274, 615, 4701, 641, 3248, 3428, 327, 1026, 16, 188, 25, 22, 7, 274, 2672, 663, 3428, 615, 1738, 369, 328, 254, 3320, 1802, 641, 3248, 3428, 327, 1026, 16, 0, 20, 18, 19, 18, 465, 1482, 9423, 486, 24119, 10381, 10944, 368, 324, 9375, 633, 4328, 343, 441, 16, 6123, 254, 402, 10652, 403, 1062, 40899, 282, 452, 16, 380, 1880, 659, 39397, 247, 305, 8806, 311, 248, 1062, 963, 31310, 402, 88, 343, 272, 9220, 6326, 1581, 286, 28779, 6104, 7850, 16, 5329, 254, 33824, 6761, 328, 28278, 324, 1033, 465, 570, 276, 772, 5287, 16, 380, 7045, 6795, 10156, 5307, 7760, 13537, 486, 274, 338, 23, 18, 18, 18, 6400, 576, 23, 274, 533, 311, 17155, 6400, 286, 607, 23, 2758, 6400, 286, 7045, 3683, 274, 254, 9630, 11282, 85, 324, 836, 9163, 403, 5651, 7787, 327, 2023, 248, 3109, 407, 3109, 5046, 1648, 20665, 324, 6111, 35579, 374, 19, 20, 6796, 2570, 18, 19, 88, 20, 23, 21, 18, 18, 18, 8322, 16, 188, 20, 18, 19, 18, 465, 1482, 9423, 486, 24119, 10381, 16968, 1200, 76, 15456, 254, 13537, 486, 274, 247, 680, 1730, 67, 300, 88, 20, 1032, 85, 311, 374, 23, 10025, 446, 248, 376, 75, 17551, 16, 1860, 865, 624, 668, 695, 13537, 486, 25708, 4010, 254, 2622, 2951, 3817, 2614, 16, 9045, 1412, 1647, 16, 679, 39885, 256, 680, 1730, 67, 362, 20, 13537, 486, 16, 24257, 46849, 1162, 3590, 22, 27, 21, 247, 17984, 804, 462, 3280, 9071, 2539, 4116, 42516, 286, 17188, 4832, 343, 374, 18, 19, 18, 2495, 512, 465, 570, 9163, 3584, 4038, 81, 480, 68, 18522, 248, 804, 462, 3280, 9071, 282, 3536, 254, 10473, 16, 188, 1130, 434, 1841, 282, 751, 390, 6013, 27358, 82, 32549, 15, 89, 4123, 10381, 432, 2006, 13860, 16, 1286, 368, 1354, 248, 2722, 997, 387, 254, 10381, 368, 587, 9751, 254, 4898, 3672, 254, 9130, 14, 25397, 14, 3171, 8245, 14, 6199, 14, 286, 248, 1423, 14, 9155, 254, 3821, 1423, 6161, 16, 2640, 272, 9220, 4698, 274, 6864, 13830, 286, 4156, 14, 353, 434, 643, 900, 2124, 254, 944, 6140, 14, 3364, 286, 4081, 24119, 10381, 9994, 2024, 16, 374, 18, 19, 18, 610, 1482, 20835, 486, 411, 4123, 5959, 11741, 16, 380, 24119, 10381, 328, 254, 7093, 1116, 311, 3657, 12557, 282, 272, 3238, 5473, 753, 16, 12809, 24119, 10381, 774, 669, 3606, 282, 254, 26975, 24119, 2024, 16, 380, 21640, 2660, 282, 1218, 248, 1683, 24119, 10381, 311, 282, 3034, 387, 254, 2520, 14, 390, 254, 2135, 1575, 6015, 16, 31241, 14, 254, 1683, 24119, 10381, 311, 3256, 12492, 282, 10044, 254, 44082, 255, 830, 254, 19745, 403, 16, 188, 686, 248, 7332, 4898, 14, 1004, 3816, 311, 3468, 7729, 282, 254, 1575, 6015, 14, 593, 1004, 975, 4699, 254, 3138, 6540, 16, 1664, 403, 495, 4893, 15857, 274, 2546, 1665, 20368, 16, 380, 4898, 3095, 282, 321, 9874, 343, 248, 5874, 47580, 23822, 2704, 16, 374, 18, 19, 18, 610, 1482, 20835, 486, 411, 4123, 5959, 11741, 16, 5650, 4898, 12299, 248, 20840, 6540, 1580, 16, 1395, 403, 2041, 282, 4214, 3109, 597, 254, 6540, 282, 254, 3202, 1245, 17115, 272, 26366, 12095, 15, 15040, 38177, 286, 36014, 2508, 274, 819, 3265, 16, 380, 6540, 311, 254, 1962, 274, 8322, 1575, 4061, 407, 254, 9130, 16, 2253, 2056, 327, 254, 743, 33534, 3432, 625, 23889, 14, 286, 15374, 254, 1062, 1057, 715, 468, 486, 16, 188, 510, 1423, 3692, 774, 452 ]
[ 1, 310, 457, 79, 811, 16032, 742, 642, 790, 1789, 15, 626, 457, 85, 272, 34127, 5362, 16, 19052, 14, 626, 457, 85, 272, 14379, 5362, 14, 3901, 14, 532, 626, 457, 85, 272, 34127, 5362, 16, 22876, 811, 4893, 14379, 14, 626, 457, 85, 2057, 34127, 28050, 286, 11061, 16, 731, 457, 85, 747, 14, 4344, 14, 532, 2075, 311, 327, 276, 254, 2546, 6163, 33, 2003, 3032, 248, 1612, 561, 626, 14, 532, 14, 33278, 14, 5745, 14, 353, 457, 85, 626, 16, 188, 22302, 340, 28, 2514, 2115, 310, 457, 307, 2254, 276, 512, 274, 836, 41686, 328, 20873, 374, 16, 18, 311, 327, 596, 457, 251, 2367, 328, 16448, 5251, 254, 2546, 6163, 16, 1223, 14, 348, 2019, 348, 310, 2033, 14, 254, 5864, 4590, 274, 327, 311, 14, 670, 368, 3227, 20873, 14, 368, 457, 619, 452, 248, 11859, 274, 41092, 637, 15, 38964, 14, 533, 587, 321, 254, 2546, 6163, 16, 1223, 368, 457, 251, 9845, 282, 14, 8855, 14, 3227, 624, 41092, 282, 7957, 1093, 16, 11903, 368, 3611, 2626, 668, 327, 33, 188, 23741, 28, 7023, 45914, 276, 254, 5288, 16, 310, 1141, 748, 596, 457, 251, 2169, 274, 1438, 324, 311, 254, 3621, 282, 5566, 286, 3054, 254, 2546, 6163, 1269, 19836, 248, 743, 2629, 274, 20873, 14, 533, 310, 5316, 2169, 274, 2701, 3177, 16, 839, 476, 2602, 785, 328, 254, 5199, 1420, 23004, 8755, 390, 811, 1041, 248, 743, 580, 327, 587, 7957, 353, 390, 1594, 286, 368, 476, 513, 327, 3238, 274, 20873, 16, 188, 22302, 340, 28, 10078, 368, 751, 665, 12854, 432, 2430, 254, 2479, 274, 843, 1789, 751, 2818, 276, 254, 2546, 6163, 33, 4772, 368, 3854, 597, 254, 1110, 668, 34127, 14, 830, 14, 353, 457, 85, 2169, 274, 9817, 327, 626, 457, 85, 436, 34127, 6163, 276, 254, 2546, 6163, 532, 360, 1038, 457, 86, 452, 14, 324, 4090, 14, 747, 427, 535, 462, 18727, 276, 626, 390, 688, 642, 1623, 4081, 390, 1623, 4489, 41092, 16, 188, 23741, 28, 310, 1848, 457, 86, 2479, 29556, 2019, 713, 327, 2413, 274, 1789, 16, 310, 865, 248, 2187, 274, 836, 452, 643, 276, 254, 2546, 6163, 324, 248, 1205, 16, 1547, 457, 251, 626, 276, 338, 16, 26, 16, 25, 286, 3061, 248, 2187, 274, 729, 403, 626, 276, 338, 16, 26, 16, 24, 286, 1002, 4182, 683, 327, 16, 1838, 14, 310, 457, 79, 417, 4414, 2056, 670, 254, 34127, 6163, 2144, 276, 16, 3683, 274, 836, 1789, 452, 3061, 643, 626, 324, 248, 1205, 286, 12106, 1623, 23982, 974, 1996, 12106, 369, 960, 729, 390, 353, 4168, 963, 2151, 286, 835, 353, 811, 2169, 274, 10146, 561, 286, 11473, 626, 16, 188, 2515, 14, 310, 1141, 327, 457, 85, 628, 274, 254, 1840, 311, 327, 12106, 15, 2927, 14, 843, 1125, 942, 900, 254, 34127, 6163, 33, 26742, 417, 1480, 1125, 16, 1838, 14, 603, 353, 457, 85, 626, 14, 248, 11, 942, 7537, 668, 14, 286, 835, 353, 2427, 457, 86, 751, 4168, 328, 14, 593, 353, 2427, 457, 86, 751, 5360, 14, 533, 2034, 942, 1038, 457, 86, 961, 282, 889, 353, 533, 2034, 353, 2427, 457, 86, 751, 4168, 328, 29, 353, 457, 85, 2169, 274, 248, 5713, 16, 1286, 353, 457, 85, 248, 2978, 8755, 390, 248, 2978, 2115, 835, 368, 1038, 457, 86, 961, 282, 889, 353, 286, 835, 12106, 5441, 282, 785, 328, 353, 16, 188, 22302, 340, 28, 1223, 835, 14, 603, 368, 497, 282, 5228, 353, 368, 650, 21649, 321, 9888, 272, 8755, 327, 20873, 573, 14, 977, 33, 188, 23741, 28, 11421, 14, 286, 327, 457, 85, 1837, 14, 977, 33, 731, 457, 85, 2169, 274, 747, 769, 3885, 14, 360, 1038, 457, 86, 961, 282, 513, 2654, 436, 8755, 1397, 5919, 14, 12106, 457, 85, 14040, 254, 2063, 276, 4175, 1090, 14, 4895, 360, 933, 24844, 353, 561, 14, 310, 1038, 457, 86, 865, 16, 188, 22302, 340, 28, 11421, 16, 2003, 24437, 479, 274, 436, 5156, 1470, 310, 811, 3156, 597, 432, 9768, 3430, 3836, 248, 4422, 274, 1090, 3502, 28, 347, 43508, 457, 85, 2546, 6163, 311, 248, 306, 46893, 666, 750, 457, 85, 811, 6607, 561, 254, 948, 327, 14, 747, 368, 457, 251, 3853, 14, 248, 2187, 274, 254, 4866, 311, 4175, 390, 3460, 390, 624, 1090, 1668, 286, 311, 417, 32837, 20873, 2063, 286, 4895, 311, 417, 248, 20873, 15, 759, 8755, 532, 14, 324, 248, 2187, 274, 836, 4462, 360, 457, 251, 4864, 668, 14, 353, 811, 2427, 457, 86, 751, 5023, 16, 188, 23741, 28, 11421, 16, 1547, 457, 307, 1652, 282, 513, 353, 387, 688, 1110, 16, 188, 23741, 28, 1664, 457, 85, 643, 624, 2241, 668, 353, 14, 747, 436, 5156, 1470, 286, 642, 942, 452, 749, 14, 769, 1212, 933, 24844, 436, 561, 286, 24844, 327, 561, 1397, 310, 1141, 11533, 457, 85, 811, 1652, 282, 513, 353, 16, 8718, 603, 360, 751, 21553, 34750, 248, 1612, 11861, 91, 387, 248, 7847, 14, 345, 457, 619, 811, 1242, 282, 513, 4866, 29, 345, 457, 85, 1652, 4374, 2298, 16, 188, 22302, 340, 28, 310, 946, 2049, 343, 254, 11558, 250, 3626, 16468, 286, 310, 865, 327, 596, 457, 251, 7028, 282, 563, 6214, 343, 254, 16448, 5251, 14, 1826, 14083, 2701, 254, 2055, 390, 417, 593, 596, 457, 251, 7028, 282, 1041, 248, 2055, 276, 327, 3758, 16, 3646, 282, 751, 254, 3894, 14174, 14, 593, 282, 3856, 16, 310, 1141, 670, 436, 5156, 1470, 369, 3737, 14, 248, 2187, 274, 942, 497, 22096, 3108, 353, 3853, 14, 769, 6332, 14, 6898, 14, 10619, 14, 360, 933, 513, 1594, 668, 436, 1756, 286, 310, 1038, 457, 86, 1141, 2626, 555, 1623, 4251, 16, 188, 23741, 28, 1664, 369, 248, 1612, 2298, 274, 2241, 14, 310, 1141, 14, 1063, 20873, 374, 16, 18, 16, 4772, 14, 603, 368, 457, 251, 1438, 282, 24844, 2626, 561, 14, 1315, 457, 85, 513, 353, 1012, 16, 1268, 14, 310, 1038, 457, 86, 1141, 2626, 1652, 29466, 561, 16, 839, 1652, 44911, 3537, 286, 248, 1755, 15243, 286, 688, 642, 4866, 14, 532, 360, 1311, 452, 272, 34127, 6163, 16, 188 ]
[ 1, 16212, 16, 0, 46, 17160, 10452, 14934, 3473, 36181, 14, 813, 18, 274, 32110, 5998, 4811, 7025, 14, 3793, 576, 14, 374, 18, 19, 27, 387, 4087, 67, 2421, 8482, 5044, 16, 188, 21422, 1524, 2497, 497, 2828, 328, 7998, 14, 3793, 813, 14, 374, 18, 19, 27, 14, 387, 2948, 2052, 23031, 15513, 1524, 8832, 14, 338, 18, 27, 411, 16, 13422, 5555, 14, 32095, 31308, 14, 343, 3439, 16, 17731, 7752, 1000, 1979, 15114, 16, 5225, 420, 3444, 276, 254, 15710, 1928, 41616, 6240, 35445, 14, 374, 25, 21, 18, 15710, 6240, 8443, 14, 32095, 31308, 14, 18921, 495, 18, 24, 22, 20, 16, 188, 13348, 273, 348, 23157, 1234, 43015, 497, 26041, 36181, 14, 33848, 592, 36181, 14, 10722, 32814, 766, 14, 34210, 91, 32814, 766, 14, 5330, 10978, 286, 45985, 26357, 16, 188, 46, 17160, 369, 5522, 4029, 719, 14, 338, 27, 22, 26, 14, 276, 32095, 31308, 14, 254, 5952, 274, 254, 3447, 5330, 7005, 14934, 3473, 286, 20936, 5576, 26357, 14934, 3473, 16, 27118, 11298, 32095, 31308, 4704, 4580, 286, 26474, 22812, 4580, 14, 37122, 343, 248, 21081, 367, 25211, 45879, 4110, 16, 188, 2899, 4168, 324, 374, 27, 1090, 387, 12155, 466, 443, 16, 18091, 4568, 20104, 8667, 16, 1469, 369, 248, 3442, 274, 19558, 457, 85, 31257, 28958, 6240, 16, 1469, 11042, 4731, 254, 18010, 14, 616, 12068, 286, 2367, 276, 616, 15350, 16, 1469, 573, 248, 5230, 8356, 286, 248, 1247, 12856, 286, 369, 7434, 1062, 1181, 16, 1469, 587, 321, 9568, 407, 616, 1963, 286, 3732, 16, 496, 1596, 282, 616, 4507, 27118, 369, 28860, 276, 2393, 407, 616, 3240, 14, 2436, 2048, 2125, 36181, 14, 10237, 9680, 7385, 14, 32454, 9763, 29, 286, 12830, 14, 5330, 33516, 14934, 3473, 14, 22119, 16, 286, 500, 16, 23274, 769, 45582, 666, 14934, 3473, 16, 188, 2899, 311, 15694, 407, 616, 5769, 14, 500, 16, 331, 16, 36181, 29, 18808, 14, 24249, 1442, 23200, 36181, 274, 32110, 5998, 286, 1469, 8579, 36181, 274, 35389, 29, 18360, 14, 37697, 31259, 1078, 274, 32095, 31308, 14, 19558, 9247, 651, 405, 274, 32095, 31308, 286, 367, 1781, 91, 7785, 4464, 274, 4890, 14, 29, 1241, 37163, 14, 309, 280, 569, 36181, 14, 26041, 36181, 286, 33848, 592, 36181, 29, 1247, 4785, 6816, 14, 10978, 36181, 29, 248, 1162, 274, 642, 17268, 286, 1125, 3732, 16, 188, 11455, 2052, 23031, 15513, 1524, 8832, 14, 338, 18, 27, 411, 16, 13422, 5555, 14, 32095, 31308, 314, 25, 18, 24, 11, 22, 23, 21, 15, 20, 24, 20, 24, 14, 311, 276, 4045, 274, 16209, 16, 27101, 441, 387, 8061, 16, 79, 549, 298, 23031, 2265, 1524, 74, 6637, 16, 679, 282, 855, 254, 3783, 11811, 8521, 16, 0, 4119, 2479, 327, 10032, 36395, 843, 1181, 5598, 311, 282, 5291, 742, 23896, 807, 321, 1157, 324, 2713, 16, 41432, 432, 254, 5942, 6244, 2421, 1309, 327, 6211, 843, 1125, 2819, 596, 1339, 2849, 282, 742, 254, 23896, 432, 248, 289, 1344, 42491, 311, 1181, 1755, 1460, 683, 4501, 843, 1125, 23896, 254, 289, 1344, 42491, 954, 1547, 1309, 942, 513, 417, 1623, 23896, 532, 513, 2033, 596, 452, 282, 2849, 324, 495, 18, 2819, 16, 17194, 22074, 3093, 16, 3086, 6558, 24111, 749, 254, 8680, 807, 942, 1041, 32464, 9898, 16, 1469, 749, 28, 347, 1212, 872, 248, 624, 3458, 5535, 282, 942, 282, 1316, 286, 20763, 10890, 23896, 432, 10032, 36395, 449, 188, 510, 8381, 387, 254, 10032, 7172, 407, 495, 18, 18, 1015, 942, 16, 3683, 900, 248, 8680, 1269, 47469, 1460, 29, 688, 248, 8680, 343, 47469, 1460, 29, 286, 254, 1515, 497, 248, 8680, 343, 248, 6915, 282, 843, 1125, 2819, 274, 3684, 7618, 650, 5291, 742, 254, 23896, 276, 254, 2653, 16, 17938, 1460, 328, 254, 1364, 8680, 248, 3306, 650, 282, 2849, 324, 763, 2942, 282, 5291, 742, 254, 23896, 276, 248, 3893, 34826, 2204, 42491, 16, 380, 942, 663, 573, 254, 36395, 343, 254, 5598, 1460, 2653, 343, 254, 1603, 383, 23896, 16, 2147, 612, 5161, 12178, 40506, 5330, 749, 28, 347, 8255, 1831, 7618, 311, 1594, 4679, 3997, 476, 282, 14, 533, 311, 2075, 360, 7925, 779, 2819, 274, 39194, 7618, 282, 5291, 2653, 23896, 449, 0, 1853, 33832, 2139, 44562, 338, 18, 18, 14997, 1090, 14, 28606, 6881, 555, 3446, 1594, 7573, 18178, 282, 1579, 254, 7906, 380, 32665, 22033, 10771, 890, 17387, 16, 7023, 338, 18, 18, 274, 836, 13040, 8235, 587, 2378, 321, 4061, 286, 756, 374, 26, 403, 12846, 324, 3605, 3840, 16, 510, 10771, 890, 17387, 17089, 26520, 282, 33832, 27198, 9714, 16428, 21241, 286, 282, 580, 274, 254, 944, 20185, 8219, 276, 254, 3670, 654, 2803, 16, 731, 311, 254, 7981, 485, 274, 33832, 27198, 2553, 285, 5964, 1409, 282, 3831, 368, 440, 1054, 18318, 2150, 286, 272, 25138, 1805, 834, 14, 7465, 4306, 16, 826, 3587, 17387, 32665, 22033, 3277, 248, 2868, 274, 10473, 286, 19064, 2150, 247, 7817, 282, 580, 274, 254, 944, 8307, 8235, 276, 33832, 27198, 2803, 254, 1583, 16, 890, 378, 12617, 16, 380, 3132, 1583, 16, 890, 311, 45781, 324, 9888, 5694, 14, 260, 22832, 42417, 286, 25586, 14643, 286, 13471, 1285, 254, 338, 27, 20, 18, 85, 286, 338, 27, 21, 18, 85, 16, 380, 1839, 274, 254, 1096, 1143, 353, 272, 7950, 17555, 286, 272, 35167, 13320, 274, 5529, 16428, 16, 7865, 14, 2410, 22534, 46638, 369, 593, 2584, 343, 254, 378, 12617, 14, 345, 1143, 353, 254, 3132, 19189, 1096, 16, 11518, 274, 254, 338, 18, 18, 8235, 276, 254, 32665, 22033, 10771, 890, 17387, 4288, 1594, 15645, 7323, 248, 5158, 274, 254, 16428, 7126, 432, 8776, 8739, 27133, 7041, 25986, 338, 27, 21, 18, 1583, 16, 890, 2009, 24839, 5332, 1096, 16, 731, 311, 248, 7126, 327, 4288, 22762, 6109, 14, 1851, 867, 2006, 3759, 5694, 14, 17246, 695, 1619, 276, 33832, 27198, 2803, 16, 380, 3132, 7126, 369, 7722, 1285, 19784, 2893, 328, 254, 1096, 533, 1311, 15380, 2966, 286, 1012, 436, 13916, 5964, 5158, 274, 33832, 27198, 2835, 555, 1102, 248, 9665, 1683, 16, 330, 9820, 274, 5372, 432, 254, 7126, 311, 34392, 8427, 276, 254, 33832, 2139, 21656, 834, 26658, 14, 6069, 248, 5158 ]
[ 1, 512, 1242, 432, 387, 436, 671, 626, 16, 347, 188, 1934, 563, 1045, 360, 403, 387, 45320, 12333, 254, 3132, 2426, 14, 2304, 254, 18914, 2734, 254, 14223, 276, 39273, 14, 942, 5103, 282, 20012, 580, 274, 254, 944, 1726, 2115, 28, 6191, 15256, 3894, 6750, 16, 21949, 67, 14, 6524, 276, 1316, 282, 520, 3002, 14, 835, 254, 607, 4525, 9819, 495, 14, 11719, 451, 286, 688, 31666, 3306, 959, 33747, 14, 701, 369, 276, 1017, 2079, 4405, 1110, 7299, 14, 8353, 282, 254, 38233, 2820, 841, 276, 254, 13416, 274, 9137, 19816, 14, 286, 2445, 254, 1096, 2176, 626, 434, 3282, 16, 347, 1982, 310, 278, 723, 925, 4264, 254, 8624, 14, 310, 452, 282, 15907, 328, 282, 5155, 390, 563, 14, 353, 434, 618, 2615, 16, 347, 38, 437, 5234, 14, 347, 12815, 2956, 324, 11837, 12854, 311, 512, 345, 476, 5230, 27147, 4212, 3762, 14, 532, 1063, 7353, 248, 743, 41169, 14, 345, 2102, 369, 248, 1755, 1423, 4612, 14, 942, 3673, 11504, 353, 16, 2646, 615, 278, 723, 925, 4950, 14, 311, 310, 254, 944, 5230, 9256, 16, 9127, 282, 520, 3002, 16, 22044, 188, 20278, 14, 374, 24, 14, 311, 580, 465, 70, 12333, 343, 254, 6081, 1401, 14, 20268, 1912, 18914, 276, 374, 18, 18, 20, 14, 254, 11912, 5968, 687, 338, 24, 1090, 274, 5095, 14, 4574, 13664, 687, 576, 18, 16, 374, 7, 328, 290, 5981, 6453, 3021, 16, 4186, 248, 1623, 2784, 2289, 14, 11837, 668, 254, 9349, 6139, 843, 282, 5155, 387, 254, 4525, 274, 254, 2941, 14, 670, 11912, 9039, 282, 1852, 775, 282, 254, 16606, 1476, 9299, 14, 11837, 587, 321, 8568, 265, 10939, 14, 417, 974, 476, 625, 4010, 1093, 1887, 15, 1554, 3648, 14, 254, 1668, 368, 1441, 14, 532, 974, 345, 669, 961, 282, 321, 343, 618, 11912, 14, 282, 4503, 520, 4950, 16, 188, 3294, 254, 2289, 274, 890, 14, 18914, 311, 274, 520, 390, 616, 1193, 3109, 858, 45320, 12333, 26784, 9471, 6494, 4652, 343, 3648, 14, 756, 603, 254, 8462, 933, 3238, 4950, 13182, 328, 254, 16406, 434, 8014, 587, 1845, 321, 2131, 16, 4425, 18318, 254, 32651, 14, 18914, 34392, 749, 28, 347, 9203, 2666, 21647, 286, 310, 369, 248, 5520, 8826, 14, 512, 1242, 432, 387, 436, 671, 626, 16, 347, 188, 1934, 563, 671, 324, 45320, 12333, 254, 3132, 2426, 14, 670, 254, 18914, 2734, 254, 3894, 276, 39273, 14, 942, 5103, 282, 20012, 811, 668, 254, 944, 1726, 2115, 28, 6191, 14247, 6750, 16, 21949, 67, 14, 6524, 282, 1336, 520, 3002, 14, 835, 254, 607, 4525, 9819, 495, 14, 11719, 451, 286, 688, 31666, 3306, 959, 348, 963, 14, 701, 369, 276, 8251, 1017, 2079, 4405, 1110, 7299, 14, 2731, 387, 254, 38233, 2820, 841, 276, 282, 254, 13416, 274, 9137, 13443, 14, 286, 2445, 254, 1096, 2176, 626, 434, 3282, 16, 347, 1982, 310, 278, 723, 925, 4264, 254, 8624, 14, 310, 452, 282, 2536, 282, 5155, 390, 2055, 14, 353, 434, 618, 2615, 16, 347, 38, 437, 5234, 14, 347, 12815, 2956, 324, 11837, 12854, 311, 512, 596, 476, 5230, 27147, 4212, 7758, 14, 532, 1063, 7353, 248, 41169, 14, 345, 2102, 369, 272, 1002, 1755, 1423, 4612, 14, 942, 403, 2692, 282, 11504, 353, 16, 2646, 254, 278, 723, 925, 4950, 14, 311, 310, 254, 944, 8418, 9256, 16, 9127, 282, 520, 3002, 16, 22044, 188, 53, 739, 14, 374, 24, 14, 311, 580, 465, 70, 12333, 343, 254, 6081, 1401, 14, 20268, 1146, 18914, 276, 374, 18, 18, 20, 14, 615, 11912, 5968, 687, 24452, 1090, 274, 5095, 14, 4574, 13664, 687, 576, 18, 16, 374, 7, 328, 290, 5981, 1280, 3021, 16, 4186, 248, 6508, 2784, 2289, 14, 11837, 3665, 254, 9349, 6139, 843, 282, 5155, 324, 254, 4525, 274, 254, 6131, 14, 670, 11912, 9039, 282, 1852, 775, 282, 254, 16606, 1476, 4584, 14, 11837, 587, 321, 8568, 265, 6037, 2104, 14, 417, 974, 476, 625, 563, 282, 915, 1093, 1887, 15, 1554, 3648, 14, 254, 1668, 368, 403, 14, 532, 974, 345, 669, 30934, 282, 321, 343, 618, 11912, 14, 282, 4503, 520, 4950, 16, 188, 3294, 254, 2289, 274, 890, 14, 18914, 311, 274, 520, 1062, 1193, 3109, 858, 45320, 12333, 26784, 9471, 6494, 274, 3648, 14, 756, 603, 254, 8462, 933, 3238, 4950, 13182, 328, 254, 16406, 434, 8014, 587, 2411, 2131, 16, 4425, 18318, 254, 32651, 14, 18914, 34392, 749, 28, 347, 9203, 839, 369, 248, 5520, 8826, 14, 512, 1242, 432, 626, 16, 347, 188, 1934, 563, 671, 324, 45320, 12333, 254, 3132, 2426, 14, 2304, 254, 18914, 2734, 254, 19791, 3894, 276, 39273, 14, 942, 5103, 282, 20012, 580, 274, 254, 944, 1726, 2115, 28, 6191, 15256, 3894, 6750, 16, 21949, 67, 14, 6524, 282, 1336, 520, 3002, 14, 835, 665, 607, 4525, 9819, 495, 14, 11719, 451, 286, 688, 31666, 3306, 959, 10214, 14, 701, 369, 276, 1017, 2079, 30185, 4405, 1110, 7299, 14, 2731, 387, 254, 38233, 2820, 841, 276, 254, 13416, 274, 9137, 1305, 14, 286, 2445, 254, 17404, 626, 434, 3282, 16, 347, 1982, 310, 278, 723, 925, 324, 254, 8624, 14, 310, 452, 282, 5053, 282, 5155, 390, 563, 14, 353, 434, 618, 2615, 16, 347, 38, 437, 749, 14, 347, 12815, 2956, 324, 11837, 12854, 311, 512, 345, 311, 2041, 282, 5230, 27147, 4212, 7758, 14, 532, 1063, 7353, 688, 3563, 274, 41169, 14, 345, 2102, 369, 248, 3564, 1423, 4612, 14, 942, 452, 248, 14542, 282, 11504, 353, 16, 2646, 520, 390, 616, 278, 723, 925, 4950, 14, 311, 310, 254, 944, 9138, 9256, 16, 9127, 282, 615, 3002, 16, 22044, 0, 47, 2278, 46349, 14, 11725, 16, 1849, 1260, 248, 1708, 2142, 10825, 14, 15128, 6241, 2048, 7236, 14073, 388, 2867, 1539, 369, 387, 254, 3925, 274, 688, 274, 254, 944, 31383, 5861, 282, 45719, 286, 11171, 15128, 457, 85, 1493, 5694, 1533, 16, 496, 374, 18, 19, 23, 14, 1205, 4181, 4916, 324, 254, 13791, 388, 2867, 1539, 369, 254, 6652, 274, 1868, 276, 248, 14673, 3854, 687, 254, 12974, 274, 2142, 5694, 16, 2936, 3780, 369, 669, 19023, 324, 9904, 276, 254, 33049, 274, 248, 1364, 6830 ]
[ 1, 16, 731, 3032, 327, 254, 12095, 555, 1845, 643, 4667, 286, 641, 580, 369, 5320, 282, 1354, 597, 254, 2759, 16, 839, 452, 15694, 974, 274, 4541, 1953, 407, 248, 6948, 260, 6525, 286, 669, 254, 3398, 14, 532, 626, 311, 10387, 36009, 432, 6166, 3569, 21871, 4476, 282, 321, 28, 347, 4816, 852, 368, 4349, 248, 2779, 1269, 742, 15, 31943, 11775, 603, 368, 452, 248, 4807, 282, 5439, 859, 4539, 2211, 14, 626, 403, 8088, 274, 819, 3487, 1525, 4136, 657, 313, 4239, 286, 1125, 274, 254, 9630, 390, 30689, 452, 9163, 14, 974, 596, 3356, 328, 729, 324, 2876, 282, 785, 14, 13594, 17268, 14, 7089, 273, 2086, 668, 14, 18506, 286, 22469, 16, 731, 311, 6508, 7996, 282, 7274, 2858, 14583, 324, 1034, 15, 38118, 1096, 21287, 14, 286, 830, 360, 3051, 311, 1480, 2019, 432, 819, 248, 1096, 5439, 282, 1041, 436, 2212, 33924, 16, 5066, 626, 311, 248, 2803, 274, 8235, 1129, 362, 13971, 1659, 328, 836, 1096, 21287, 16, 839, 452, 3477, 282, 8617, 248, 11930, 18914, 532, 836, 14, 1480, 14, 403, 593, 2019, 1919, 432, 830, 360, 3051, 14, 327, 436, 311, 3256, 417, 272, 4360, 16, 496, 1596, 14, 11930, 6568, 1114, 403, 593, 1330, 327, 756, 254, 7794, 9163, 4793, 276, 729, 387, 512, 16, 1664, 311, 417, 2151, 2245, 282, 4513, 254, 30589, 327, 650, 1862, 248, 2034, 274, 2876, 1683, 432, 254, 18914, 14, 286, 15829, 14, 436, 311, 417, 14910, 4003, 16, 188, 1212, 403, 2117, 327, 8583, 9, 11775, 476, 756, 321, 2696, 348, 272, 4360, 2304, 331, 3141, 311, 276, 3377, 14, 286, 1002, 327, 587, 2353, 10387, 3452, 3175, 16, 1691, 360, 403, 417, 2117, 311, 748, 360, 403, 3159, 282, 513, 343, 772, 9163, 276, 254, 26052, 16, 323, 437, 729, 33, 1760, 1714, 729, 33, 4762, 729, 9118, 328, 9931, 1269, 10808, 11775, 33, 380, 8235, 587, 417, 3256, 15099, 3, 1664, 807, 321, 248, 4403, 274, 3997, 3256, 20807, 282, 2014, 665, 28649, 20353, 726, 390, 282, 15958, 7624, 274, 11930, 2802, 1863, 254, 2563, 311, 11201, 16, 188, 17041, 1726, 311, 327, 254, 43841, 3103, 403, 1143, 6425, 274, 254, 7477, 327, 8583, 1041, 282, 254, 6795, 274, 254, 15476, 830, 596, 3051, 16, 1286, 596, 476, 5439, 615, 8235, 15353, 2734, 615, 8841, 14, 836, 942, 587, 889, 254, 1922, 16527, 286, 3134, 328, 3071, 14, 1269, 6069, 1996, 34046, 390, 16942, 282, 254, 13558, 390, 42106, 3280, 597, 1096, 21287, 16, 1286, 596, 452, 282, 2055, 615, 8235, 11054, 14, 596, 774, 348, 963, 8745, 561, 274, 3748, 390, 889, 3134, 276, 642, 4902, 16, 657, 313, 4239, 311, 248, 2703, 3748, 343, 272, 32691, 1017, 1162, 274, 8583, 3686, 14, 286, 2156, 669, 2367, 1525, 254, 14069, 5008, 390, 9884, 16, 826, 17394, 282, 254, 13736, 294, 1593, 14, 6795, 286, 5098, 274, 254, 3748, 8906, 16, 1678, 14, 974, 274, 657, 313, 4239, 434, 14069, 12454, 14, 1125, 274, 254, 9648, 403, 11357, 2493, 14, 2824, 254, 6234, 286, 452, 6569, 10305, 2218, 4402, 22580, 387, 254, 2824, 390, 10305, 16, 380, 942, 276, 729, 10443, 328, 328, 15, 31943, 11775, 276, 1316, 282, 321, 2041, 282, 3051, 626, 14, 286, 436, 311, 2075, 248, 8583, 9, 11775, 6787, 311, 687, 21189, 14, 3202, 286, 248, 1708, 11358, 282, 321, 28048, 12581, 331, 3141, 16, 731, 311, 671, 254, 6650, 1162, 274, 8583, 9, 15117, 403, 3611, 286, 2181, 2584, 282, 1862, 729, 1305, 16, 188, 1853, 248, 14147, 274, 657, 14361, 2130, 5555, 14, 310, 5041, 2560, 13994, 14951, 343, 30342, 16, 310, 715, 2056, 327, 747, 479, 14, 512, 274, 254, 3748, 8906, 22316, 398, 1354, 1033, 4954, 282, 2849, 282, 657, 313, 4239, 434, 1247, 16527, 14, 8735, 14, 15224, 266, 14, 1103, 4271, 1086, 14, 254, 14699, 11839, 286, 593, 328, 16, 839, 1920, 254, 3748, 9091, 14, 6761, 772, 2501, 11841, 286, 1354, 15125, 276, 772, 26809, 16, 14168, 248, 1096, 311, 23691, 628, 274, 11332, 434, 1464, 836, 1842, 14, 286, 12991, 248, 8583, 11775, 6787, 311, 593, 38890, 5785, 4607, 16, 17008, 254, 6282, 587, 321, 324, 1093, 8235, 282, 321, 24003, 276, 642, 9931, 14, 8256, 38903, 282, 254, 8583, 286, 2328, 615, 4701, 2746, 348, 963, 16, 8783, 2304, 452, 310, 1873, 3972, 11775, 276, 254, 3748, 434, 15803, 9931, 282, 2759, 665, 5274, 390, 21406, 14, 942, 403, 417, 26956, 390, 12247, 1310, 366, 14, 596, 811, 961, 282, 3051, 14, 5439, 286, 321, 248, 11897, 628, 274, 772, 3748, 16, 188, 5639, 310, 27431, 366, 3148, 327, 30342, 555, 749, 16, 310, 1480, 3051, 276, 254, 8906, 274, 3748, 286, 715, 272, 3812, 2525, 274, 512, 254, 657, 313, 4239, 8946, 428, 16527, 14, 14696, 14, 14699, 11839, 16, 2666, 2086, 512, 2849, 282, 254, 1922, 2079, 390, 4149, 407, 1643, 16, 310, 889, 618, 1096, 8334, 324, 6104, 282, 785, 286, 888, 16, 310, 872, 282, 321, 2041, 282, 5439, 2734, 618, 2342, 286, 715, 5058, 282, 2014, 248, 5118, 2332, 324, 248, 8583, 9404, 327, 4343, 479, 282, 513, 593, 16, 1286, 331, 3141, 311, 3854, 276, 1269, 248, 8583, 11775, 6787, 14, 626, 587, 321, 248, 8534, 2820, 1040, 343, 254, 5615, 1903, 9931, 276, 657, 313, 4239, 4419, 11775, 7282, 348, 3748, 8906, 8583, 997, 324, 642, 4466, 16, 10948, 360, 933, 2706, 772, 1193, 15557, 286, 15958, 282, 2014, 28649, 21729, 310, 811, 476, 625, 2780, 254, 11930, 807, 9317, 580, 6787, 1269, 254, 642, 16, 731, 434, 13737, 560, 474, 16, 0, 9928, 1928, 41616, 42838, 568, 403, 7413, 343, 254, 769, 37, 13236, 386, 43546, 276, 254, 42178, 267, 39676, 1397, 731, 311, 1800, 24, 18, 25, 276, 380, 1928, 41616, 388, 1088, 2047, 16, 1286, 436, 15411, 311, 900, 387, 512, 353, 311, 2692, 900, 1285, 254, 801, 390, 1250, 44159, 276, 4109, 348, 248, 1026, 282, 3034, 254, 743, 802, 16, 731, 311, 628, 274, 254, 331, 13236, 386, 48221, 268, 6454, 3591, 407, 2436, 42178, 286, 900, 407, 8157, 1322, 276, 9389, 11401, 1544, 338, 25, 23, 23, 16, 188, 510, 331, 13236, 386, 15411, 311, 20518 ]
[ 1, 321, 248, 15096, 14, 353, 457, 85, 671, 282, 1649, 633, 7697, 713, 2181, 286, 4503, 16, 46640, 14, 603, 368, 457, 251, 4221, 436, 368, 457, 251, 4558, 282, 1354, 254, 1689, 3109, 16, 28319, 441, 2966, 16, 0, 18467, 1080, 11884, 261, 2189, 16, 16828, 268, 324, 7389, 3149, 314, 23, 9, 22, 4, 286, 758, 481, 2514, 1921, 16, 34651, 45909, 286, 46622, 387, 35903, 16, 22373, 407, 44184, 8318, 839, 67, 733, 276, 399, 6203, 739, 67, 14, 2357, 16, 418, 1943, 14, 10726, 16, 0, 35, 5131, 274, 347, 18274, 276, 3539, 4, 188, 25672, 640, 274, 347, 18274, 276, 3539, 4, 188, 20530, 640, 274, 347, 18274, 276, 3539, 4, 188, 37, 16935, 30220, 274, 347, 18274, 276, 3539, 4, 188, 4620, 555, 7846, 695, 440, 35991, 14, 440, 325, 38207, 10786, 3490, 507, 1426, 428, 286, 12756, 434, 4541, 274, 1770, 9917, 282, 254, 4873, 14, 1582, 6817, 324, 272, 8223, 434, 24691, 14, 756, 772, 11570, 16, 188, 20452, 328, 254, 3112, 555, 11448, 643, 2152, 1181, 1755, 683, 436, 16, 188, 3912, 274, 254, 1640, 274, 254, 3542, 21161, 11021, 14, 867, 276, 9476, 276, 338, 27, 23, 18, 14, 45193, 315, 3165, 15, 18699, 281, 286, 637, 918, 971, 6753, 19524, 434, 367, 1049, 771, 412, 6874, 276, 254, 16645, 32503, 274, 695, 11692, 9728, 8977, 328, 248, 13229, 16, 188, 510, 3481, 1115, 407, 15446, 712, 10914, 286, 254, 3758, 274, 15906, 17170, 403, 1143, 597, 7913, 274, 1985, 2073, 15, 17879, 24651, 274, 1910, 3753, 327, 1563, 1612, 670, 5845, 593, 1125, 2008, 16, 188, 35, 40188, 15, 25552, 889, 274, 3026, 16, 11166, 254, 12433, 311, 4805, 286, 7011, 14, 17170, 1311, 34191, 19266, 274, 2181, 687, 19555, 16, 188, 41, 3318, 14, 17266, 14, 20824, 315, 4950, 14, 17170, 434, 12887, 3539, 8483, 67, 311, 580, 274, 254, 1640, 1727, 446, 398, 274, 695, 18548, 16, 188, 1130, 434, 248, 10650, 684, 37023, 21161, 9, 2073, 14164, 16, 188, 47858, 286, 712, 10914, 2023, 248, 785, 327, 4701, 597, 282, 695, 3929, 14, 17695, 254, 42858, 11929, 3373, 274, 2073, 286, 695, 3405, 7918, 2045, 14, 348, 7212, 407, 763, 4136, 5645, 16, 188, 30141, 1723, 274, 347, 18274, 276, 3539, 4, 0, 1516, 41332, 22585, 403, 39719, 282, 1901, 2624, 3920, 46865, 2867, 12594, 2400, 432, 254, 10386, 18535, 262, 5093, 401, 1857, 28, 11722, 92, 518, 13909, 14, 13644, 515, 958, 14, 1201, 419, 1446, 67, 11363, 2778, 286, 596, 403, 274, 254, 1057, 4747, 348, 729, 593, 368, 476, 4214, 2374, 603, 254, 34869, 311, 276, 3709, 343, 641, 872, 282, 5080, 254, 10423, 14, 532, 4316, 327, 1004, 2107, 41332, 5304, 2427, 457, 86, 452, 282, 1901, 254, 4445, 34869, 311, 11479, 328, 16, 330, 5167, 18599, 282, 1115, 2482, 37948, 343, 633, 16406, 16, 188, 1516, 1830, 3144, 343, 2537, 12801, 5784, 14002, 314, 329, 34419, 11, 282, 889, 343, 254, 41332, 22585, 16, 0, 510, 17635, 21241, 274, 254, 1427, 35445, 276, 6338, 7495, 7078, 254, 3983, 274, 272, 3781, 1303, 15, 45658, 5833, 324, 2479, 274, 254, 2803, 14, 3638, 286, 4184, 274, 1416, 276, 36523, 1869, 22928, 1779, 5044, 16, 188, 1130, 555, 643, 4941, 1090, 1544, 436, 5833, 2507, 85, 2479, 286, 4584, 5495, 14, 348, 963, 348, 1240, 18506, 286, 6319, 7281, 286, 4376, 407, 254, 9031, 2206, 16, 188, 2432, 497, 2102, 763, 5384, 12586, 282, 254, 1427, 35445, 10648, 276, 4452, 286, 1012, 254, 2543, 9748, 2849, 369, 10648, 1525, 254, 5713, 29965, 25376, 1269, 378, 6434, 14, 533, 13037, 2080, 286, 539, 605, 909, 21241, 14, 8698, 2803, 286, 20554, 533, 369, 2818, 713, 2868, 274, 9107, 3284, 1525, 436, 802, 457, 85, 12315, 274, 45910, 273, 5130, 331, 19764, 447, 276, 6338, 7495, 14, 36523, 16, 188, 510, 28795, 25866, 274, 15771, 4451, 473, 3633, 76, 1155, 281, 272, 1416, 23309, 286, 14794, 274, 22928, 1779, 5044, 5740, 12587, 254, 40772, 784, 2343, 2705, 274, 29301, 254, 8535, 4056, 447, 274, 254, 1427, 35445, 286, 274, 3466, 2113, 12604, 328, 8219, 663, 452, 1628, 272, 40772, 784, 2343, 10429, 276, 254, 6611, 286, 32007, 2803, 274, 6338, 7495, 15536, 282, 695, 39171, 14, 35767, 14, 9726, 14, 8698, 6315, 286, 254, 4311, 10227, 5799, 16, 380, 1427, 35445, 276, 6338, 7495, 650, 747, 282, 5552, 3997, 324, 3435, 286, 9375, 2628, 671, 343, 772, 4741, 21895, 286, 21403, 2873, 2328, 436, 802, 457, 85, 411, 32984, 276, 6338, 7495, 5384, 16, 731, 369, 248, 1247, 10986, 1851, 3997, 387, 772, 7292, 5867, 10746, 3, 0, 2300, 4109, 374, 14, 10041, 55, 12382, 286, 401, 9850, 274, 28939, 15, 14855, 4992, 4569, 19896, 2997, 7283, 18700, 18429, 23560, 3737, 254, 2838, 17629, 20113, 28, 330, 33175, 1991, 32212, 328, 1732, 11848, 16, 380, 2838, 2094, 23553, 3133, 327, 403, 7362, 1615, 2479, 432, 4445, 2912, 12983, 2025, 9015, 16, 188, 30747, 317, 457, 4136, 4020, 369, 327, 1225, 3555, 4569, 2632, 452, 4104, 276, 16558, 4317, 2107, 14877, 596, 452, 2254, 16, 750, 6930, 3460, 7674, 9999, 3555, 4569, 2479, 14, 819, 348, 931, 7940, 735, 1593, 14, 3367, 274, 21433, 14, 18741, 282, 25590, 24985, 14, 286, 2746, 282, 16064, 16, 188, 30747, 317, 749, 520, 6287, 4563, 311, 327, 14566, 587, 751, 8172, 32231, 10877, 265, 348, 248, 769, 6608, 5758, 14, 13283, 1480, 1181, 328, 254, 6813, 17436, 274, 248, 1748, 956, 274, 12140, 532, 3587, 3106, 1756, 286, 7537, 695, 7320, 282, 13787, 4264, 12983, 2025, 9015, 16, 750, 835, 5279, 14603, 324, 248, 2764, 4317, 3555, 4569, 28, 2683, 624, 328, 440, 34097, 4569, 29, 9234, 15, 1318, 531, 1399, 314, 10297, 11179, 5219, 43, 14, 254, 6901, 8707, 15, 40, 6641, 265, 14566, 557, 14888, 15596, 432, 9444, 286, 16280, 19573, 29, 390, 2683, 624, 328, 27639, 1794, 3177, 3520, 14, 8031, 14318, 14, 2099, 4731, 14, 3838, 16, 188, 12144, 15, 2523, 3555, 4569, 20778, 286, 6567, 9701, 274, 14566, 5329, 712, 1119, 2009, 37, 329, 16762, 23088, 351, 469, 457, 85, 4678, 15, 30011, 28, 769, 15442, 311, 4414, 977, 1397, 496, 248, 2306, 282, 20082, 17920, 8217 ]
[ 1, 380, 5461, 10832, 14228, 2602, 555, 248, 3837, 9220, 6268, 6163, 14, 286, 248, 3837, 13562, 867, 597, 324, 248, 2245, 4516, 16, 21370, 26318, 7296, 14531, 3419, 441, 512, 248, 26184, 713, 615, 41291, 276, 374, 18, 19, 23, 16, 188, 510, 33623, 6163, 311, 2057, 274, 1247, 14110, 14, 1648, 272, 2674, 9817, 2332, 274, 35200, 15, 250, 15, 5477, 6415, 747, 28107, 414, 286, 47416, 16, 4539, 2211, 14, 254, 33623, 6268, 6163, 3432, 625, 756, 2245, 15, 779, 1290, 343, 6415, 747, 740, 349, 37712, 14, 7296, 20628, 735, 304, 4488, 16, 254, 3525, 14, 286, 2636, 747, 22785, 9120, 40367, 286, 15897, 11752, 44686, 561, 254, 1581, 16, 2646, 512, 14, 603, 368, 1441, 10676, 276, 248, 2245, 4516, 324, 5534, 29083, 274, 671, 14, 368, 1797, 1652, 282, 452, 688, 4740, 276, 15, 29936, 14209, 282, 1336, 1477, 665, 1903, 671, 368, 452, 16, 188, 1212, 1441, 8814, 327, 254, 5461, 10832, 14228, 10538, 4699, 282, 4126, 380, 9598, 42864, 747, 254, 1515, 274, 441, 14, 3614, 360, 1797, 1652, 282, 11168, 327, 626, 311, 1594, 4325, 2978, 515, 668, 7290, 254, 6268, 1205, 1129, 276, 2245, 4684, 16, 839, 476, 625, 3236, 282, 3957, 748, 596, 1815, 274, 254, 2986, 3, 188, 1982, 368, 497, 328, 254, 5461, 10832, 14228, 14, 748, 580, 6268, 650, 368, 961, 282, 321, 2056, 282, 3217, 2049, 33, 19329, 441, 276, 254, 5536, 3, 188, 3513, 3683, 7927, 14437, 9289, 14980, 786, 3, 188, 1253, 1042, 6477, 276, 254, 10351, 1563, 33, 188, 35221, 668, 254, 31295, 3546, 620, 16, 0, 1630, 9912, 993, 32106, 943, 368, 1045, 276, 436, 12745, 3783, 13325, 14729, 2099, 16, 47994, 436, 13325, 14729, 2099, 14, 368, 1339, 3858, 254, 8195, 1360, 286, 751, 624, 7168, 683, 633, 27847, 16, 20877, 628, 276, 254, 271, 15982, 5527, 603, 368, 8195, 801, 368, 587, 3223, 248, 13325, 390, 248, 32194, 3821, 16, 3063, 417, 7537, 282, 14631, 633, 30589, 960, 254, 14631, 2704, 327, 368, 751, 324, 254, 801, 286, 1250, 1619, 286, 36147, 25852, 16, 380, 11967, 2099, 555, 338, 18, 11106, 417, 756, 282, 5527, 633, 13325, 14729, 6750, 532, 669, 282, 1315, 368, 2705, 17826, 324, 248, 1062, 1034, 671, 16, 47994, 436, 13325, 14729, 2099, 14, 368, 1339, 3858, 254, 8195, 1360, 286, 751, 624, 7168, 683, 633, 27847, 16, 7008, 759, 801, 282, 3223, 248, 13325, 390, 248, 32194, 3821, 16, 0, 12254, 3310, 1280, 254, 3398, 749, 276, 248, 3547, 3603, 7025, 327, 4507, 3854, 254, 3122, 286, 616, 19090, 4778, 282, 254, 4531, 16, 6123, 497, 10776, 14, 286, 254, 3122, 4811, 328, 3793, 495, 18, 16, 380, 4855, 434, 1580, 369, 417, 4598, 2066, 16, 188, 5283, 1401, 15089, 6166, 5043, 272, 5672, 286, 835, 17682, 3398, 16, 188, 46, 2248, 31266, 3398, 9572, 374, 21, 15, 2823, 15, 741, 21891, 3126, 28614, 4275, 286, 374, 22, 15, 2823, 15, 741, 399, 1089, 569, 7524, 328, 7025, 328, 7068, 274, 801, 15, 14179, 7498, 286, 1250, 15, 14179, 36643, 282, 6977, 1238, 3102, 16, 188, 1130, 369, 417, 1873, 603, 254, 763, 573, 15656, 16, 0, 35, 607, 5158, 867, 274, 7802, 652, 644, 91, 1464, 15, 10037, 1910, 28518, 5792, 2069, 4105, 343, 15350, 22571, 34943, 387, 254, 1708, 274, 254, 6003, 286, 9001, 14, 593, 368, 476, 16290, 729, 747, 248, 3112, 47629, 28518, 40472, 327, 434, 2732, 282, 36011, 561, 432, 520, 15659, 16, 188, 6690, 41449, 1464, 15, 3176, 28518, 2069, 4105, 2408, 763, 9001, 327, 403, 374, 4525, 1034, 343, 5866, 265, 15310, 286, 813, 4, 799, 494, 4525, 14, 763, 6003, 327, 403, 338, 26, 4, 1034, 343, 607, 16, 23, 4, 799, 494, 3448, 286, 248, 848, 4, 1034, 19004, 343, 248, 799, 494, 20435, 16, 188, 17140, 2450, 4024, 2069, 628, 14498, 327, 403, 1143, 343, 1837, 27829, 7802, 327, 587, 417, 2654, 286, 476, 321, 295, 3094, 802, 841, 802, 16, 188, 40, 910, 2886, 15516, 39832, 10375, 997, 867, 274, 14498, 327, 403, 5503, 324, 665, 3385, 46301, 37386, 2342, 14, 6911, 3815, 472, 26000, 9960, 390, 5690, 1089, 3, 188, 35, 607, 5158, 867, 274, 7802, 652, 644, 91, 1464, 15, 10037, 1910, 28518, 5792, 2069, 4105, 343, 15350, 22571, 34943, 387, 254, 1708, 274, 254, 6003, 286, 9001, 14, 593, 368, 476, 16290, 729, 747, 248, 3112, 47629, 28518, 40472, 327, 434, 2732, 282, 36011, 561, 432, 520, 15659, 16, 1993, 41449, 1464, 15, 3176, 28518, 2069, 4105, 2408, 763, 9001, 327, 403, 374, 4525, 1034, 343, 5866, 265, 15310, 286, 813, 9482, 799, 494, 4525, 14, 763, 6003, 327, 403, 338, 26, 9482, 1034, 343, 607, 16, 23, 9482, 799, 494, 3448, 286, 248, 848, 9482, 1034, 19004, 343, 248, 799, 494, 20435, 16, 10147, 2450, 4024, 2069, 628, 14498, 327, 403, 1143, 343, 1837, 27829, 7802, 327, 587, 417, 2654, 286, 476, 321, 295, 3094, 802, 841, 802, 16, 401, 910, 2886, 15516, 39832, 10375, 997, 867, 274, 14498, 327, 403, 5503, 324, 665, 3385, 46301, 37386, 2342, 14, 6911, 3815, 472, 26000, 9960, 390, 5690, 1089, 3, 1547, 1441, 1247, 18534, 5028, 282, 665, 6911, 3815, 472, 6029, 14, 348, 596, 818, 248, 1612, 624, 15432, 282, 254, 10209, 15, 264, 15, 36984, 398, 2286, 3, 188, 17639, 5196, 28, 374, 3071, 1034, 9001, 343, 5866, 265, 15310, 286, 813, 9482, 799, 494, 4525, 14, 338, 26, 9482, 1034, 6003, 343, 607, 16, 23, 9482, 799, 494, 3448, 286, 248, 848, 9482, 1034, 19004, 343, 248, 799, 494, 20435, 16, 0, 3600, 8656, 1393, 21124, 314, 3600, 35, 581, 747, 642, 9875, 6404, 14, 555, 643, 2258, 343, 2477, 9116, 324, 286, 7684, 432, 39398, 6147, 26042, 2642, 314, 37, 8305, 581, 254, 944, 1794, 23312, 16115, 4144, 282, 2393, 276, 1125, 2435, 3994, 407, 30597, 11328, 16, 1268, 4317, 25310, 254, 7767, 274, 2477, 10414, 14, 254, 6125, 3108, 436, 5697, 403, 417, 963, 7002, 14, 2225, 354, 16, 45490, 20086, 8092, 14, 10129, 14, 354, 6486, 14, 11685, 6765, 274, 30597, 1466, 387, 254, 19229, 29366, 276, 9861, 16, 769, 6128, 1851, 543, 3600, 35, 63, 3038, 12173, 368, 387 ]
[ 1, 14, 532, 310, 1141, 327, 665, 3960, 33443, 276, 248, 3960, 10787, 17025, 5480, 942, 282, 2941, 16494, 274, 1815, 327, 5103, 282, 6975, 2237, 274, 24376, 16, 26355, 311, 4780, 3657, 963, 12601, 282, 327, 974, 353, 311, 668, 4536, 668, 7995, 274, 1247, 10183, 16, 2003, 434, 248, 3657, 1157, 2115, 324, 4864, 668, 8446, 276, 248, 556, 5691, 41960, 14, 8642, 14, 9915, 7928, 14, 533, 7526, 16, 731, 2427, 625, 751, 254, 2560, 1026, 282, 665, 3541, 14, 532, 353, 7526, 16, 188, 1435, 6307, 434, 3002, 14, 42577, 14, 4025, 688, 4576, 2893, 274, 3452, 11409, 276, 616, 1193, 977, 314, 395, 5261, 758, 1081, 12316, 71, 773, 286, 473, 1546, 74, 1486, 14, 603, 368, 1521, 2739, 10113, 819, 1789, 11, 286, 310, 21107, 618, 3378, 274, 616, 684, 510, 25014, 38237, 276, 309, 1761, 1671, 28, 20692, 414, 286, 4771, 268, 34699, 5813, 731, 434, 3364, 282, 12675, 254, 2371, 25076, 2605, 586, 428, 1081, 1258, 89, 958, 11067, 276, 254, 5427, 276, 254, 3447, 576, 18, 434, 428, 532, 436, 1926, 311, 1062, 1837, 282, 8777, 387, 16, 188, 15115, 328, 1258, 6307, 434, 1610, 14, 580, 807, 321, 32179, 282, 2780, 327, 626, 933, 321, 624, 32054, 276, 8446, 16, 12182, 14, 626, 311, 248, 4678, 15, 11351, 28, 2323, 3864, 81, 367, 3410, 14, 2304, 248, 27310, 474, 28816, 274, 5692, 663, 311, 1012, 3792, 274, 254, 9629, 8677, 14, 9733, 254, 19178, 1393, 977, 15, 7503, 37896, 286, 8282, 248, 1157, 3224, 274, 254, 743, 17895, 16, 23438, 1157, 11409, 14, 353, 3032, 14, 1042, 417, 1041, 580, 6839, 282, 11412, 15, 68, 3708, 286, 2802, 15, 45636, 16, 0, 22, 394, 42630, 323, 39295, 311, 248, 4022, 621, 27126, 18442, 2756, 5407, 276, 28276, 16, 576, 394, 42630, 323, 39295, 3290, 1656, 2042, 18442, 2756, 276, 621, 27126, 14, 1683, 2426, 3102, 324, 4273, 276, 254, 7928, 286, 33317, 16582, 16, 188, 1675, 5082, 309, 1029, 59, 55, 2856, 27883, 9385, 59, 6220, 14, 418, 10705, 4095, 276, 374, 18, 18, 19, 14, 311, 272, 4903, 8620, 15523, 276, 11625, 2868, 274, 13107, 5588, 8033, 14, 4384, 20771, 14, 2076, 33019, 8033, 16, 188, 662, 348, 2426, 3102, 6577, 276, 4002, 14, 4023, 14134, 276, 26108, 7854, 14, 498, 5610, 14, 2931, 5203, 14, 31120, 294, 3838, 16, 188, 5897, 4248, 311, 8838, 368, 5166, 2501, 286, 4126, 9150, 327, 30695, 11812, 7417, 274, 633, 13331, 328, 633, 2628, 1362, 16, 188, 8430, 3184, 286, 5118, 24964, 258, 26108, 14, 46965, 35760, 26108, 14, 951, 2527, 24964, 26108, 14, 1523, 1890, 26108, 14, 20285, 3170, 16, 188, 1212, 403, 580, 274, 254, 5793, 900, 13846, 286, 12333, 28575, 276, 4002, 16, 3699, 7212, 286, 9676, 4602, 9012, 15857, 286, 22409, 1004, 5224, 274, 13846, 533, 403, 835, 14584, 324, 13107, 16, 0, 47, 5242, 67, 18935, 11812, 33888, 3706, 1125, 11812, 33888, 2150, 16, 1547, 3831, 1125, 11812, 3134, 1648, 11812, 14797, 16, 1547, 452, 785, 276, 11812, 1631, 324, 1125, 1090, 16, 3688, 14, 596, 403, 7212, 2151, 276, 11812, 3027, 2497, 16, 6499, 11812, 17083, 4349, 11812, 14797, 328, 25746, 18935, 1544, 353, 311, 10849, 286, 16832, 16, 188, 47, 5242, 67, 18935, 11812, 33888, 452, 1125, 11057, 16, 1547, 476, 2706, 665, 11812, 33888, 1707, 328, 254, 4422, 457, 85, 2662, 16, 3683, 17083, 2156, 1602, 729, 282, 1041, 254, 11812, 14797, 16, 3683, 17083, 2780, 327, 25746, 18935, 476, 2706, 11812, 14797, 1707, 328, 615, 16879, 16, 3688, 14, 596, 1038, 457, 86, 5382, 282, 889, 25746, 18935, 457, 85, 2497, 282, 1041, 248, 11812, 14797, 16, 188, 686, 1596, 282, 11812, 14797, 14, 25746, 18935, 11812, 33888, 669, 3831, 688, 3134, 2258, 282, 11812, 14797, 16, 1547, 476, 1041, 248, 14797, 282, 3678, 286, 11812, 5340, 42182, 324, 633, 11812, 3027, 16, 380, 11812, 4422, 476, 7087, 748, 2169, 274, 26578, 2741, 324, 615, 11812, 3027, 16, 0, 43344, 5596, 8028, 428, 3063, 378, 21521, 19789, 43331, 33, 188, 510, 3063, 378, 21521, 19789, 43331, 33, 314, 8674, 6403, 11, 27774, 5596, 8028, 311, 4024, 324, 2086, 276, 9392, 763, 314, 25, 15, 26, 802, 1668, 85, 11, 282, 321, 8326, 407, 11811, 1225, 398, 276, 254, 20253, 14, 819, 348, 1470, 15, 34912, 3371, 17190, 276, 11405, 41953, 447, 14, 3015, 10920, 1322, 14, 31964, 38985, 14, 1321, 1738, 286, 2079, 16215, 14, 5940, 4507, 14, 286, 2489, 16, 188, 510, 27774, 5596, 8028, 3809, 607, 18, 1091, 719, 18, 2819, 16, 188, 2148, 9299, 2449, 276, 12540, 14, 4356, 3316, 248, 9299, 9830, 825, 286, 4436, 282, 441, 593, 327, 360, 774, 5982, 368, 324, 14874, 286, 889, 254, 1460, 282, 7275, 254, 2024, 16, 188, 510, 2024, 369, 7654, 4089, 276, 34548, 27362, 33601, 14, 28007, 314, 31068, 11, 276, 338, 27, 27, 26, 15, 27, 27, 286, 369, 5384, 276, 9299, 2086, 668, 1116, 89, 3708, 286, 18282, 4901, 16, 27775, 360, 1102, 327, 4584, 324, 9392, 763, 2086, 7174, 276, 1500, 13423, 274, 2165, 7955, 407, 615, 4507, 16, 188, 4884, 669, 28, 41006, 568, 324, 10259, 89, 3708, 276, 8126, 6495, 28513, 6825, 407, 28007, 4626, 286, 5919, 1232, 286, 28007, 12405, 457, 85, 9241, 14, 4028, 374, 18, 18, 27, 16, 0, 531, 21712, 16, 8040, 311, 13616, 21712, 10, 26, 11, 6484, 1819, 16, 188, 1234, 900, 14, 5569, 7414, 1045, 16, 188, 27981, 14, 1015, 14120, 14, 1015, 2336, 19151, 45046, 387, 254, 1057, 671, 16, 188, 262, 254, 2725, 328, 24380, 13616, 21712, 587, 2336, 19744, 16, 7939, 17756, 27067, 756, 580, 2725, 16, 188, 31368, 3198, 254, 1819, 481, 17673, 311, 1922, 16, 188, 608, 36600, 314, 2798, 44349, 13754, 9047, 481, 188, 1516, 10238, 248, 743, 2336, 5690, 14, 830, 368, 476, 4702, 743, 1922, 4752, 16, 188, 531, 21712, 19544, 756, 7414, 14120, 16, 188, 90, 16, 90, 16, 90, 16, 90, 2590, 1146, 272, 7939, 16, 210, 1246, 16, 90, 16, 90, 16, 90, 17, 90, 16, 90, 16, 90, 16, 90, 1146, 272, 7939, 3444, 407, 248, 745, 2929, 8754, 16, 188, 9554, 7939, 1225, 276, 254, 12780, 16, 188, 6713 ]
[ 1, 403, 624, 21252, 390, 11686, 368, 16, 24836, 30217, 1518, 46339, 4273, 390, 1330, 2072, 9630, 1041, 254, 10275, 274, 4536, 327, 8899, 311, 756, 324, 1887, 4273, 343, 5534, 34557, 324, 436, 3964, 16, 411, 9977, 1311, 311, 670, 360, 2780, 327, 772, 2485, 3809, 1521, 274, 353, 3, 7757, 14, 1887, 10275, 14, 276, 948, 14, 254, 5493, 5740, 407, 772, 1518, 46339, 4273, 476, 321, 772, 8830, 8819, 314, 608, 1143, 324, 1495, 3964, 282, 321, 5309, 276, 1495, 3802, 2612, 7823, 1887, 10275, 311, 282, 1141, 327, 6053, 286, 8899, 43695, 390, 4566, 403, 4196, 1015, 286, 4707, 432, 580, 1495, 16, 826, 4536, 311, 1062, 8093, 1081, 324, 633, 2072, 282, 633, 20201, 16, 6123, 314, 4553, 7993, 286, 6053, 11, 1339, 563, 1116, 276, 1116, 286, 603, 900, 8876, 368, 587, 27601, 2490, 254, 12167, 274, 1081, 14, 533, 587, 2917, 2490, 633, 2896, 286, 633, 5851, 16, 1860, 321, 2041, 282, 14190, 436, 624, 3468, 343, 633, 2072, 14, 1309, 327, 254, 785, 274, 8899, 311, 282, 6255, 11835, 21413, 14, 327, 311, 14, 10341, 6462, 327, 403, 2102, 7317, 276, 6981, 390, 276, 633, 1830, 390, 633, 2072, 4954, 16, 1395, 785, 587, 2722, 254, 7096, 343, 254, 1640, 21413, 368, 452, 3854, 633, 8899, 5861, 16, 18205, 327, 368, 476, 417, 5416, 8895, 282, 248, 37694, 14, 1002, 603, 353, 311, 276, 254, 1640, 3184, 14, 1640, 11792, 16, 1180, 248, 1755, 4541, 274, 836, 12007, 310, 5419, 4221, 5243, 4590, 282, 2490, 633, 2896, 286, 633, 6053, 311, 282, 1354, 633, 8899, 282, 254, 1110, 830, 368, 641, 3248, 452, 282, 1041, 254, 7096, 14, 16056, 11380, 16, 3006, 35852, 327, 3258, 7485, 1115, 248, 1062, 1726, 286, 933, 1582, 6907, 13102, 729, 16, 380, 1726, 2115, 311, 282, 865, 670, 830, 286, 843, 282, 889, 3258, 7485, 16, 188, 2943, 368, 403, 2731, 324, 248, 743, 1026, 274, 2430, 1789, 327, 476, 1862, 624, 671, 286, 4682, 6995, 14, 580, 2115, 327, 1845, 3144, 282, 2482, 311, 28, 1691, 311, 1480, 1157, 282, 321, 1972, 286, 748, 311, 353, 33, 2514, 274, 254, 5793, 3133, 343, 13612, 47, 4273, 311, 417, 254, 2072, 14, 532, 843, 942, 1574, 282, 1225, 282, 2489, 16, 826, 311, 272, 2382, 274, 1594, 327, 311, 1480, 1157, 282, 321, 1972, 16, 13612, 47, 311, 248, 2072, 286, 360, 1339, 785, 348, 580, 16, 1286, 368, 497, 282, 1493, 248, 5871, 2072, 368, 872, 282, 321, 5320, 324, 33, 338, 16, 13294, 748, 368, 403, 1438, 282, 513, 14, 374, 16, 13294, 748, 368, 872, 282, 513, 282, 1354, 327, 2072, 14, 495, 16, 11903, 254, 671, 282, 1602, 254, 2485, 314, 20, 22, 1209, 813, 581, 576, 16, 188, 3602, 452, 254, 2501, 282, 3084, 436, 2348, 314, 29779, 248, 9852, 581, 607, 16, 1547, 2035, 282, 1263, 436, 2348, 14, 719, 16, 1547, 452, 254, 24477, 282, 3191, 276, 2072, 1863, 596, 915, 254, 1508, 14, 813, 16, 11903, 21759, 282, 2874, 343, 512, 254, 942, 663, 587, 452, 282, 2377, 848, 16, 1547, 452, 254, 587, 282, 11094, 12396, 29, 890, 16, 5931, 5535, 282, 6255, 6211, 282, 520, 2072, 14, 338, 18, 16, 1395, 452, 248, 1830, 390, 2497, 327, 587, 1920, 6211, 3435, 14, 338, 19, 16, 188, 4534, 5320, 324, 254, 2417, 14, 974, 254, 2863, 314, 339, 353, 5699, 11, 403, 1733, 14, 338, 20, 16, 1223, 624, 7925, 3826, 688, 942, 961, 282, 513, 1594, 14, 532, 272, 13612, 47, 2072, 286, 254, 942, 663, 9057, 276, 436, 2072, 974, 353, 852, 997, 747, 248, 2072, 16, 1838, 282, 9057, 276, 13612, 47, 587, 452, 282, 321, 5320, 324, 254, 1057, 1789, 327, 248, 5871, 2072, 14, 532, 626, 403, 763, 2135, 3784, 28, 248, 16, 380, 2332, 274, 1004, 580, 274, 1093, 1789, 28, 731, 3809, 1181, 1637, 671, 314, 19, 20, 15, 19, 23, 3498, 1091, 1242, 581, 2501, 314, 2295, 9852, 581, 7028, 14, 641, 2417, 14, 3838, 271, 16, 380, 1508, 274, 254, 2485, 28, 13612, 47, 3017, 587, 3906, 14, 286, 6995, 274, 671, 14, 5851, 16, 2028, 368, 997, 387, 13612, 47, 368, 587, 915, 248, 1181, 3564, 4688, 282, 4962, 615, 7148, 276, 1464, 835, 254, 5871, 2703, 14, 532, 327, 1042, 417, 1563, 368, 452, 641, 785, 390, 3324, 16, 380, 1887, 2967, 311, 4269, 254, 3184, 274, 254, 1508, 368, 751, 432, 353, 16, 0, 510, 801, 2511, 37714, 254, 27023, 274, 17403, 14, 5562, 254, 1250, 2511, 12968, 343, 254, 17403, 24016, 398, 16, 496, 436, 1240, 14, 254, 24433, 356, 19776, 1476, 403, 900, 276, 16032, 17403, 27023, 286, 24016, 398, 286, 1037, 15696, 19104, 510, 32039, 15, 7671, 6852, 274, 496, 43131, 36796, 16282, 254, 5060, 42860, 327, 3849, 282, 254, 529, 16, 48, 16, 5894, 282, 10600, 28279, 276, 338, 27, 22, 25, 286, 254, 11823, 274, 4990, 276, 338, 27, 22, 26, 16, 188, 510, 15351, 20328, 311, 580, 274, 254, 1603, 17963, 17957, 276, 17403, 434, 8707, 3124, 8571, 85, 14, 2049, 343, 254, 388, 28698, 1219, 27023, 14, 286, 248, 1330, 25565, 24829, 286, 34581, 6302, 15, 3410, 1470, 1758, 4301, 2006, 6109, 1788, 3112, 328, 254, 10767, 1874, 274, 254, 14328, 3292, 16, 188, 40693, 16375, 20830, 85, 8707, 3124, 7885, 14, 4131, 276, 254, 2318, 338, 24, 394, 5174, 407, 254, 17890, 41717, 323, 1617, 25028, 254, 17952, 690, 291, 14, 452, 4175, 17957, 16, 1822, 532, 580, 314, 779, 20328, 274, 7410, 941, 11, 1311, 5587, 17403, 3149, 286, 12587, 17837, 282, 695, 9902, 14, 286, 19491, 286, 14069, 4235, 16, 0, 16749, 3689, 39488, 314, 16749, 2495, 11, 2147, 36128, 13089, 314, 6276, 4452, 374, 24, 14, 338, 27, 19, 19, 14, 30538, 1049, 320, 14, 16330, 428, 4811, 4028, 576, 14, 338, 27, 27, 20, 14, 1427, 2728, 14, 4953, 11, 369, 248, 4144, 2371, 28929, 8258, 11400, 16, 188, 29838, 27906, 30460, 416, 13137, 92, 989, 9081, 14, 345, 6139, 282, 1115, 387, 2289, 1694, 14, 286, 369, 3402, 40777, 248, 1401, 46907, 91, 16, 1997, 2289, 4175, 345, 369, 17506, 13738, 3648, 343, 11668, 286, 4782 ]
[ 1, 5064, 1003, 306, 1404, 304, 16, 22450, 16, 784, 65, 76, 302, 65, 302, 10, 3014, 26377, 1003, 306, 1404, 304, 16, 22450, 16, 14837, 65, 339, 65, 1410, 65, 18830, 10, 3014, 7284, 3758, 14, 4382, 14, 2498, 14046, 31, 4705, 65, 9867, 11, 926, 1419, 1827, 16, 79, 313, 65, 1377, 1886, 273, 65, 3321, 1884, 65, 6688, 61, 9097, 16, 76, 302, 63, 1465, 804, 791, 39679, 65, 1980, 65, 8335, 65, 21, 19, 21, 65, 34089, 10, 1262, 14, 10644, 2192, 647, 603, 10644, 16, 21974, 16, 1554, 3493, 1827, 16, 1554, 28, 926, 1076, 2621, 1413, 65, 426, 10644, 16, 18017, 3891, 16, 784, 12203, 2012, 9491, 1358, 12598, 31, 5504, 90, 79, 377, 16, 4732, 65, 47, 2229, 11, 647, 603, 1413, 21057, 926, 7123, 302, 65, 426, 1413, 4274, 784, 26605, 2012, 7075, 302, 3291, 926, 603, 7123, 302, 65, 417, 276, 1827, 16, 1377, 1886, 273, 65, 507, 47652, 28, 1003, 1076, 647, 1952, 28, 926, 1076, 2621, 603, 1827, 16, 1377, 1886, 273, 65, 507, 47652, 61, 7075, 302, 65, 6895, 18, 63, 2224, 354, 2229, 65, 43960, 65, 9232, 3147, 1661, 28, 926, 867, 65, 426, 1413, 4274, 784, 12203, 2012, 1160, 1358, 12598, 31, 5504, 90, 79, 377, 16, 4732, 65, 6281, 47, 11, 926, 603, 867, 21057, 1003, 1364, 426, 867, 4274, 784, 12203, 3129, 2012, 6103, 3291, 1003, 603, 1364, 28, 2498, 306, 1404, 304, 16, 5238, 16, 1160, 65, 468, 2012, 15354, 85, 1358, 1827, 16, 1554, 14, 684, 6103, 65, 79, 313, 65, 302, 1358, 1364, 11, 2498, 3316, 426, 1413, 4274, 784, 26605, 2012, 11662, 3291, 2498, 603, 3316, 3493, 684, 5508, 5141, 3986, 1827, 16, 9376, 65, 21786, 10, 6266, 31, 6103, 11, 5896, 1419, 1827, 16, 1377, 1886, 273, 65, 507, 47652, 61, 7075, 302, 65, 63, 1465, 804, 791, 39679, 65, 79, 313, 65, 8406, 20195, 65, 8335, 65, 34089, 10, 1262, 14, 10644, 2192, 647, 603, 10644, 16, 21974, 16, 1554, 3493, 1827, 16, 1554, 28, 926, 1076, 647, 306, 1404, 304, 16, 22450, 16, 14837, 65, 339, 65, 1410, 65, 18830, 10, 9097, 16, 3014, 7284, 10644, 16, 20649, 14, 10644, 16, 11957, 14, 926, 14046, 31, 9097, 16, 4705, 9867, 14, 14853, 31, 9097, 16, 22513, 11, 1465, 804, 2662, 65, 21786, 10, 1262, 14, 1242, 31, 11033, 14, 980, 31, 11033, 14, 343, 65, 31, 11033, 14, 841, 31, 11033, 14, 477, 2694, 31, 21, 18, 2192, 647, 883, 83, 65, 426, 296, 21464, 79, 377, 16, 43, 83, 2012, 1160, 3291, 647, 7123, 426, 883, 83, 4274, 1855, 10101, 2012, 7075, 1358, 12598, 31, 5504, 90, 79, 377, 16, 4732, 65, 47, 2229, 11, 647, 1246, 426, 7123, 16, 1855, 10101, 10, 6048, 31, 5504, 90, 79, 377, 16, 3129, 5078, 10, 6436, 5313, 20753, 18723, 647, 1246, 16, 1855, 10101, 10, 6048, 31, 5504, 90, 79, 377, 16, 3129, 6009, 10, 6436, 5313, 18508, 1358, 1390, 5313, 23579, 65, 10284, 1358, 1294, 31, 5504, 90, 79, 377, 16, 4732, 65, 47, 2229, 1210, 647, 603, 1242, 28, 926, 1246, 16, 1855, 10101, 10, 6048, 31, 5504, 90, 79, 377, 16, 3129, 6009, 10, 6436, 5313, 1139, 15, 19609, 1358, 1390, 5313, 5318, 1358, 1294, 31, 5318, 1210, 647, 603, 980, 28, 926, 1246, 16, 1855, 10101, 10, 6048, 31, 5504, 90, 79, 377, 16, 3129, 6009, 10, 6436, 5313, 1139, 15, 19609, 1358, 1390, 5313, 423, 1358, 1294, 31, 423, 1210, 647, 603, 343, 21057, 926, 1246, 16, 1855, 10101, 10, 6048, 31, 5504, 90, 79, 377, 16, 3129, 6009, 10, 6436, 5313, 76, 302, 15, 19609, 1358, 1390, 5313, 3014, 1358, 1294, 31, 3014, 65, 1210, 647, 867, 65, 426, 7123, 16, 1160, 12203, 2012, 1160, 1358, 12598, 31, 5504, 90, 79, 377, 16, 4732, 65, 6281, 47, 11, 647, 867, 4274, 1160, 12203, 3129, 2012, 3958, 1358, 2694, 11, 647, 603, 841, 28, 926, 867, 4274, 1160, 12203, 3129, 2012, 6266, 1358, 841, 11, 647, 7123, 302, 65, 426, 1827, 16, 14082, 16, 784, 1128, 1787, 1067, 647, 7123, 16, 1160, 26605, 2012, 7075, 302, 1358, 7123, 302, 26377, 647, 2570, 65, 426, 1827, 16, 14082, 16, 784, 1128, 1787, 1067, 647, 883, 83, 4274, 1160, 1787, 10, 302, 26377, 647, 1827, 16, 1377, 1886, 273, 65, 507, 47652, 61, 7075, 302, 65, 63, 426, 314, 47, 2229, 65, 43960, 65, 9232, 3147, 1661, 14, 2312, 647, 1827, 16, 14082, 16, 12802, 10, 28332, 26377, 534, 188, 2360, 28009, 44724, 19, 21, 24, 10, 13090, 44724, 2192, 477, 804, 4623, 4338, 21257, 1262, 2192, 647, 28009, 44724, 24051, 4338, 21257, 1262, 11, 647, 1827, 16, 1099, 2113, 65, 19, 21, 24, 65, 18831, 426, 16247, 647, 1827, 16, 21786, 65, 14728, 65, 18831, 426, 16247, 647, 1827, 16, 21786, 65, 46276, 65, 18831, 426, 16247, 647, 1827, 16, 21786, 65, 38305, 65, 18831, 426, 16247, 647, 1827, 16, 21786, 65, 11188, 65, 18831, 426, 16247, 647, 1827, 16, 14728, 426, 8037, 647, 1827, 16, 9102, 65, 14728, 426, 8037, 647, 1827, 16, 9102, 65, 6608, 426, 8037, 647, 1827, 16, 9102, 65, 38305, 426, 8037, 647, 1827, 16, 6799, 426, 8037, 647, 1827, 16, 15135, 426, 11836, 647, 306, 1404, 304, 16, 2325, 16, 15464, 65, 7833, 65, 19644, 10, 926, 684, 1099, 2113, 15, 3343, 2968, 15, 11628, 15, 34089, 1358, 306, 265, 16, 45443, 14, 926, 1827, 3226, 39679, 65, 1099, 2113, 65, 11628, 65, 34089, 11, 647, 306, 1404, 304, 16, 2325, 16, 15464, 65, 7833, 65, 19644, 2012, 1980, 15, 28332, 15, 34089, 1358, 306, 265, 16, 45443, 14, 926, 1827, 3226, 39679, 65, 1980, 65, 28332, 65, 19, 21, 24, 65, 34089, 11, 1465, 804, 33423, 10, 1262, 2192, 647, 306, 1404, 304, 16, 2325, 16, 11833, 65, 7833, 65, 19644, 10, 926, 684, 1099, 2113, 15, 3343, 2968, 15, 11628, 15, 34089, 1358, 306, 265, 16, 45443, 14, 926, 1827, 3226, 39679, 65, 1099, 2113, 65, 11628, 65, 34089, 11, 647, 306, 1404, 304, 16, 2325, 16, 11833, 65, 7833, 65, 19644, 2012, 1980, 15, 28332, 15, 34089, 1358, 306, 265, 16, 45443, 14, 926, 1827, 3226, 39679, 65, 1980 ]
[ 1, 8762, 11, 647, 1827, 16, 1857, 9802, 3722, 717, 511, 7990, 291, 16, 1160, 19300, 10, 3441, 19, 26, 11, 647, 1827, 16, 1857, 9802, 3722, 717, 511, 7990, 291, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 9802, 3722, 717, 511, 7990, 291, 14307, 647, 1827, 16, 1857, 9802, 34715, 24086, 2678, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 9802, 34715, 24086, 2678, 16, 1160, 8828, 494, 10, 4937, 11, 647, 10374, 19, 27, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 19, 27, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 14295, 265, 15, 3434, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 9802, 34715, 24086, 2678, 16, 1160, 19300, 10, 3441, 19, 27, 11, 647, 1827, 16, 1857, 9802, 34715, 24086, 2678, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 9802, 34715, 24086, 2678, 14307, 647, 1827, 16, 1857, 9802, 12401, 7259, 2678, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 9802, 12401, 7259, 2678, 16, 1160, 8828, 494, 10, 4937, 11, 647, 10374, 20, 18, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 20, 18, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 46167, 15, 3434, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 9802, 12401, 7259, 2678, 16, 1160, 19300, 10, 3441, 20, 18, 11, 647, 1827, 16, 1857, 9802, 12401, 7259, 2678, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 9802, 12401, 7259, 2678, 14307, 647, 1827, 16, 1857, 25800, 6411, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 10374, 20, 19, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 20, 19, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 5530, 15, 90, 15, 26329, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 25800, 6411, 16, 1160, 19300, 10, 3441, 20, 19, 11, 647, 1827, 16, 1857, 25800, 6411, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 25800, 6411, 14307, 647, 1827, 16, 1857, 9147, 10241, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 10374, 20, 20, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 20, 20, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 1139, 15, 2880, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 9147, 10241, 16, 1160, 19300, 10, 3441, 20, 20, 11, 647, 1827, 16, 1857, 9147, 10241, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 9147, 10241, 14307, 647, 1827, 16, 1857, 44908, 5513, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 10374, 20, 21, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 20, 21, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 3434, 15, 11833, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 44908, 5513, 16, 1160, 19300, 10, 3441, 20, 21, 11, 647, 1827, 16, 1857, 44908, 5513, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 44908, 5513, 14307, 647, 1827, 16, 1857, 44908, 686, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 10374, 20, 22, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 20, 22, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 3434, 15, 1855, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 44908, 686, 16, 1160, 19300, 10, 3441, 20, 22, 11, 647, 1827, 16, 1857, 44908, 686, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 44908, 686, 14307, 647, 1827, 16, 1857, 32852, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 32852, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 32852, 14307, 647, 1827, 16, 1857, 11139, 4085, 9827, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 4085, 9827, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 11139, 4085, 9827, 14307, 647, 1827, 16, 1857, 11139, 1304, 6570, 19, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 1304, 6570, 19, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 11139, 1304, 6570, 19, 14307, 647, 1827, 16, 1857, 11139, 1304, 6570, 20, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 1304, 6570, 20, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 11139, 1304, 6570, 20, 14307, 647, 1827, 16, 1857, 11139, 1304, 6570, 21, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 1304, 6570, 21, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 11139, 1304, 6570, 21, 14307, 647, 1827, 16, 1857, 11139, 1304, 6570, 22, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 1304, 6570, 22, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 11139, 1304, 6570, 22, 14307, 647, 1827, 16, 1857, 11139, 1304, 6570, 23, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 1304, 6570, 23, 16, 1160, 4103, 2327, 9840, 3933 ]

[ 1, 7353, 254, 27361, 42009, 310, 1815, 310, 1817, 2411, 343, 254, 3941, 274, 248, 11812, 16, 1822, 310, 573, 282, 513, 311, 913, 597, 343, 618, 7417, 286, 321, 4558, 282, 1309, 347, 43, 513, 4, 282, 254, 636, 274, 618, 13331, 16, 188, 1212, 497, 3686, 276, 12810, 670, 360, 1652, 9331, 286, 2980, 282, 751, 6841, 276, 4852, 14500, 14, 830, 310, 715, 8697, 432, 16, 310, 2980, 248, 1330, 14, 14701, 11812, 16, 839, 3156, 939, 248, 1603, 13860, 286, 1102, 436, 580, 16, 731, 369, 624, 11728, 32227, 14, 286, 701, 573, 248, 2187, 624, 4466, 282, 5053, 432, 16, 9547, 371, 28961, 852, 272, 8418, 2545, 14, 353, 369, 8611, 3834, 3, 731, 369, 593, 3941, 1903, 14, 701, 2263, 1521, 274, 3148, 16, 1469, 1623, 5887, 616, 4866, 3, 1286, 360, 2378, 573, 665, 3418, 390, 7155, 14, 701, 369, 1845, 1062, 9123, 16, 839, 452, 819, 14349, 12604, 274, 772, 11812, 1362, 14, 2470, 338, 27, 14, 374, 18, 19, 20, 16, 3699, 5703, 497, 1062, 17339, 343, 254, 5230, 4610, 16, 731, 2350, 593, 1181, 1755, 683, 748, 310, 573, 43135, 276, 618, 1450, 16, 826, 1623, 369, 618, 6967, 11812, 3, 10944, 368, 593, 1181, 9547, 371, 28961, 324, 4782, 441, 254, 1640, 1362, 274, 772, 4701, 3, 310, 3989, 5419, 616, 282, 3655, 2731, 324, 248, 5230, 3941, 1903, 11812, 16, 188, 1212, 573, 772, 11812, 328, 35152, 3268, 8700, 387, 254, 31905, 14743, 16, 331, 366, 433, 407, 28948, 294, 285, 16, 9547, 371, 28961, 14, 343, 4852, 14500, 19985, 1483, 7022, 26025, 14, 852, 38144, 3760, 2554, 3, 1469, 9107, 286, 10648, 254, 2560, 2288, 14, 593, 310, 1623, 852, 417, 865, 748, 282, 1847, 16, 310, 369, 417, 248, 6685, 27361, 974, 310, 852, 417, 5846, 1181, 274, 254, 7028, 532, 327, 434, 2075, 310, 14167, 436, 2485, 14, 310, 852, 417, 961, 282, 513, 1480, 1181, 785, 16, 2028, 310, 1309, 618, 5769, 286, 310, 497, 23889, 1919, 310, 1623, 1563, 353, 16, 16474, 369, 593, 5230, 16, 380, 16268, 369, 7158, 14, 254, 15669, 369, 22794, 16, 9547, 371, 28961, 1143, 2056, 360, 852, 417, 452, 282, 7461, 668, 2626, 16, 310, 650, 7754, 5419, 4852, 14500, 19985, 1483, 7022, 26025, 282, 665, 4422, 663, 1042, 417, 961, 254, 3941, 274, 7028, 286, 811, 5441, 282, 4126, 615, 2628, 1362, 16, 2666, 11812, 369, 1330, 668, 813, 23, 942, 2194, 532, 353, 369, 8611, 248, 6967, 1663, 1972, 3, 188, 3116, 4335, 286, 310, 403, 432, 5974, 286, 360, 4285, 282, 751, 6841, 276, 31463, 4852, 14500, 314, 14497, 848, 14, 374, 18, 19, 19, 481, 839, 2980, 248, 2875, 16268, 286, 14, 1544, 360, 3051, 495, 18, 18, 18, 10488, 1919, 14, 360, 2980, 248, 44936, 1408, 282, 2035, 286, 22516, 1033, 2429, 2474, 282, 772, 3095, 16, 9547, 371, 28961, 7846, 282, 321, 512, 327, 286, 624, 3, 3699, 11812, 1362, 369, 3834, 14, 1002, 1755, 683, 360, 3159, 28, 254, 3327, 14, 254, 12068, 14, 254, 1062, 5537, 286, 11437, 1979, 6060, 14, 254, 1062, 3011, 24186, 286, 14, 274, 2211, 14, 9547, 371, 28961, 5803, 663, 369, 626, 282, 1041, 2056, 327, 254, 16268, 2350, 25007, 16, 3699, 12603, 286, 441, 573, 248, 20999, 1362, 286, 3997, 476, 625, 3408, 4864, 282, 441, 668, 843, 5167, 286, 963, 9107, 772, 11812, 369, 16, 9127, 9547, 371, 28961, 3, 188, 1982, 368, 403, 7028, 248, 11768, 11812, 276, 254, 4852, 14500, 2104, 14, 1395, 872, 997, 641, 1949, 683, 9547, 371, 28961, 354, 9814, 3891, 16, 1469, 25041, 772, 11812, 314, 18404, 338, 18, 14, 374, 18, 19, 19, 15, 16268, 328, 3561, 12782, 14, 35152, 3268, 343, 8725, 15669, 387, 28948, 294, 285, 328, 254, 6728, 11, 1051, 282, 254, 1062, 1364, 2429, 1269, 2378, 1002, 4654, 479, 276, 1408, 1863, 254, 1362, 1063, 772, 11812, 16, 5830, 2429, 369, 348, 310, 18452, 353, 276, 618, 1450, 14, 603, 417, 1002, 1755, 14, 432, 254, 18231, 286, 12068, 282, 254, 24186, 14, 4093, 82, 382, 14, 2653, 14, 14797, 14, 12762, 2316, 1223, 254, 1640, 628, 369, 327, 310, 852, 417, 452, 282, 7461, 390, 3941, 668, 248, 1956, 2429, 16, 310, 369, 2041, 282, 6761, 671, 343, 618, 1963, 286, 3732, 663, 573, 19057, 6582, 274, 6400, 282, 3768, 772, 1887, 1362, 343, 441, 3, 1286, 310, 807, 513, 618, 11812, 687, 959, 14, 310, 650, 417, 1767, 248, 2115, 4528, 9127, 14, 9547, 371, 28961, 3, 188, 39196, 1038, 625, 3034, 282, 5028, 328, 618, 26636, 4264, 9547, 371, 28961, 434, 14625, 14, 20366, 286, 7028, 14852, 16, 310, 1102, 616, 1460, 3783, 670, 310, 369, 11871, 324, 11768, 48211, 276, 4852, 14500, 286, 2780, 701, 369, 272, 22371, 2131, 282, 441, 324, 772, 11812, 1362, 16, 839, 3051, 276, 20120, 14, 6220, 286, 573, 43135, 772, 11812, 688, 4919, 790, 286, 31463, 1037, 600, 360, 9448, 4852, 14500, 16, 27785, 254, 11812, 7028, 1213, 14, 701, 4400, 9750, 282, 512, 3418, 14, 5532, 390, 7155, 16, 1469, 7017, 650, 1309, 14, 347, 5338, 625, 7461, 668, 327, 11443, 14, 310, 1782, 1354, 1521, 274, 353, 324, 368, 449, 1469, 4003, 441, 282, 818, 1125, 3258, 25944, 282, 772, 11812, 533, 1143, 353, 1872, 593, 3834, 286, 417, 811, 633, 347, 21050, 5362, 2874, 3333, 7052, 254, 1887, 1362, 7053, 14, 701, 6344, 343, 772, 1241, 1362, 2288, 274, 248, 9845, 8725, 14, 32331, 268, 8725, 286, 254, 4445, 11812, 1362, 16, 839, 15939, 327, 701, 587, 321, 1012, 13782, 441, 387, 9199, 324, 8725, 14, 348, 701, 7573, 3428, 811, 747, 248, 1963, 3442, 16, 731, 311, 1623, 417, 248, 15939, 387, 512, 16, 1395, 476, 625, 563, 3320, 343, 9547, 371, 28961, 434, 3134, 16, 310, 650, 388, 2354, 10754, 59, 5419, 616, 282, 3655, 663, 311, 2731, 324, 327, 19081, 1391, 11812, 16, 188, 42, 4123, 9547, 371, 28961, 282, 513, 772, 11812, 369, 254, 1640, 2964, 310, 1797, 2378, 1143, 3, 1469, 311, 248, 819, 248, 41527, 5537, 286, 310, 3428, 747, 310, 369, 276, 1157, 3448, 254, 2560, 1026, 939, 16, 1469, 369, 2430, 593, 1181, 3108 ]

[ 1, 390, 20055, 14, 1041, 2056, 327, 596, 3073, 276, 254, 1581, 16, 188, 1982, 1594, 311, 3320, 14, 368, 872, 282, 12566, 30127, 3676, 23643, 16, 250, 286, 1382, 254, 3797, 959, 16, 188, 188, 1982, 512, 4313, 1157, 14, 368, 476, 1041, 633, 801, 3603, 28, 1465, 15118, 9713, 16, 4640, 257, 7941, 11791, 188, 188, 2148, 743, 16319, 14, 368, 872, 282, 18933, 254, 2629, 1162, 276, 188, 9697, 38136, 65, 9696, 3815, 17, 870, 4338, 46065, 4640, 286, 295, 15, 6149, 254, 1788, 3797, 16, 188, 188, 2148, 624, 1460, 328, 5983, 2520, 10392, 14, 915, 188, 2337, 1333, 13504, 16, 16199, 16, 2000, 17, 20, 17, 7941, 18293, 17, 85, 45651, 382, 16, 2880, 188, 188, 31311, 188, 2855, 7481, 188, 3933, 867, 18109, 22944, 1369, 9713, 14, 1074, 65, 23399, 188, 2855, 1518, 38136, 65, 9696, 3815, 348, 621, 534, 188, 3500, 65, 34690, 426, 543, 477, 684, 1235, 639, 26, 1358, 188, 63, 188, 188, 12199, 65, 34690, 426, 543, 477, 684, 42706, 1358, 477, 684, 42706, 15, 26047, 1358, 477, 684, 42706, 15, 74, 88, 325, 29118, 19, 16, 18, 1358, 477, 684, 42706, 15, 26329, 15, 34178, 29118, 18, 16, 20, 16, 19, 1358, 188, 63, 534, 188, 1510, 1218, 10, 72, 1554, 2192, 477, 1574, 28, 647, 1076, 1493, 10, 375, 16, 3839, 16, 13575, 10, 375, 16, 3839, 16, 43696, 18050, 3039, 870, 581, 270, 1554, 4878, 1073, 1067, 477, 3584, 19127, 4608, 28, 647, 1076, 14661, 188, 188, 22591, 10, 477, 1390, 567, 42706, 15, 9697, 38136, 15, 9696, 3815, 985, 477, 2629, 31, 1194, 24051, 4015, 29646, 477, 5575, 31, 1073, 2012, 19013, 32258, 11162, 477, 1034, 65, 9742, 31, 1073, 2012, 13217, 5134, 16, 36098, 11162, 477, 7771, 5313, 510, 20082, 4493, 1358, 477, 13130, 31, 4862, 2611, 20289, 15993, 477, 27733, 5313, 42706, 14, 621, 14, 295, 32895, 14, 1518, 38136, 14, 6453, 14, 6051, 1358, 477, 2410, 5313, 27465, 4669, 349, 24694, 1358, 477, 2410, 65, 12460, 5313, 1763, 288, 349, 74, 34, 22903, 16, 679, 1358, 477, 9433, 567, 3494, 1333, 7088, 16, 679, 17, 2627, 781, 31595, 17, 42706, 15, 9697, 38136, 15, 9696, 3815, 985, 477, 11819, 31, 8380, 65, 23399, 5550, 477, 2408, 65, 10426, 65, 2137, 31, 4937, 14, 477, 3227, 65, 34690, 31, 12199, 65, 34690, 14, 477, 40697, 65, 15248, 11469, 647, 684, 3500, 5141, 1443, 65, 34690, 14, 477, 3454, 188, 11, 188, 0, 31311, 188, 4390, 274, 4960, 282, 8494, 9536, 4179, 23950, 286, 5042, 274, 248, 3471, 188, 26695, 713, 248, 743, 34807, 390, 4331, 15, 13324, 3471, 1631, 16, 188, 188, 31311, 188, 188, 31311, 188, 20343, 374, 18, 18, 27, 15, 20, 18, 19, 23, 45989, 1297, 6338, 3627, 188, 188, 1516, 1819, 311, 628, 274, 7048, 81, 14, 248, 15118, 6161, 282, 1336, 5698, 2542, 188, 21023, 5831, 8641, 16, 188, 188, 4640, 81, 311, 1903, 3571, 28, 368, 476, 24692, 353, 286, 17, 264, 9741, 188, 263, 758, 254, 2349, 274, 254, 11641, 31251, 4078, 5105, 4493, 348, 188, 15415, 407, 254, 7446, 8870, 6625, 14, 1996, 2629, 495, 274, 254, 188, 17233, 14, 390, 314, 256, 633, 4360, 11, 665, 1938, 2629, 16, 188, 188, 4640, 81, 311, 5770, 276, 254, 3409, 327, 353, 587, 321, 4081, 14, 188, 2770, 14588, 8867, 22458, 29, 1269, 1002, 254, 10195, 17036, 274, 188, 36652, 19786, 390, 19917, 6474, 330, 19783, 19517, 16, 210, 2512, 254, 188, 45612, 31251, 4078, 5105, 4493, 324, 624, 4139, 16, 188, 188, 1368, 933, 452, 2865, 248, 3378, 274, 254, 11641, 31251, 4078, 5105, 188, 17233, 2049, 343, 7048, 81, 16, 210, 1286, 417, 14, 915, 653, 2337, 1333, 2614, 16, 25606, 16, 2000, 17, 16652, 38457, 188, 31311, 188, 2855, 11555, 14, 3512, 188, 3933, 791, 6271, 1369, 475, 188, 3933, 791, 22502, 1369, 475, 188, 3933, 3395, 1369, 7141, 546, 2466, 14, 4318, 2466, 188, 188, 2360, 9006, 10, 50, 11583, 4103, 2192, 477, 11916, 477, 331, 15010, 317, 269, 9330, 343, 1423, 328, 254, 5042, 2715, 16, 1465, 1146, 15412, 28, 1146, 4640, 28, 2360, 29264, 50, 11583, 4103, 66, 1465, 1146, 16069, 28, 2621, 3175, 1146, 8239, 81, 4103, 926, 19255, 2542, 282, 1213, 16, 647, 20204, 1146, 539, 14, 14842, 926, 10771, 274, 7909, 328, 254, 3096, 912, 8861, 16, 25140, 387, 926, 30697, 671, 756, 16, 17673, 85, 282, 374, 16, 647, 3096, 1146, 8035, 390, 8239, 81, 4103, 926, 25702, 274, 254, 3471, 328, 254, 3096, 912, 8861, 14, 869, 470, 286, 338, 16, 926, 17673, 85, 282, 470, 16, 23, 16, 647, 5042, 1146, 8035, 390, 8239, 81, 4103, 926, 2955, 700, 274, 3471, 39340, 282, 254, 8476, 7909, 14, 926, 869, 470, 286, 338, 16, 17673, 85, 282, 470, 16, 23, 16, 1465, 29708, 257, 426, 12969, 10, 80, 1421, 5047, 31, 20, 481, 13082, 1067, 477, 29708, 257, 16, 5318, 1067, 477, 29708, 248, 426, 1583, 877, 10, 30460, 35036, 20, 11, 477, 29708, 299, 4637, 426, 323, 460, 10, 39523, 31, 19, 14, 22160, 35036, 23, 14, 818, 35036, 23, 11, 477, 29708, 269, 426, 9006, 10, 67, 14, 20204, 31, 20, 14, 3096, 31, 78, 4637, 481, 483, 1067, 1465, 11916, 477, 804, 4623, 4338, 21257, 1262, 14, 3175, 14, 20204, 31, 20, 14, 3096, 31, 18, 16, 23, 14, 5042, 31, 18, 16, 23, 14, 22160, 31, 19, 14, 818, 31, 18, 2192, 647, 8239, 81, 4103, 24051, 4338, 21257, 1262, 14, 22160, 14, 818, 11, 647, 1827, 3226, 5263, 426, 3175, 647, 1827, 3226, 3900, 426, 3096, 647, 1827, 3226, 8128, 426, 20204, 647, 1827, 3226, 41073, 426, 5042, 647, 1827, 3226, 250, 65, 72, 6302, 426, 19255, 40, 6302, 10, 5263, 11, 647, 276, 65, 72, 6302, 14, 3096, 14, 5042, 14, 22160, 14, 818, 14, 299, 3958, 426, 6283, 16069, 1934, 48024, 10, 1262, 3226, 250, 65, 72, 6302, 14, 3096, 14, 5042, 14, 22160, 14, 818, 11, 647, 1827, 3226, 4643, 65, 1935, 398, 426, 543, 50, 9330, 65, 4643, 10, 13215, 10, 250, 65, 72, 6302, 14, 75, 581, 20204, 14, 15932, 10, 3900, 14, 75, 581, 15932, 10, 41073, 14, 75 ]

[ 1, 10825, 16, 24820, 282, 441, 1063, 353, 311, 1480, 3447, 16, 0, 6687, 15, 40, 9850, 14, 3792, 286, 9701, 14, 338, 27, 26, 21, 1091, 338, 27, 27, 23, 14, 22488, 10501, 9494, 6284, 14, 3567, 16, 17287, 14, 338, 27, 26, 24, 14, 4704, 10501, 17033, 10351, 14, 3124, 274, 48007, 18637, 9494, 5240, 16, 17287, 14, 338, 27, 26, 24, 1091, 338, 27, 26, 27, 14, 19231, 5329, 38108, 6852, 14, 3605, 5942, 5240, 16, 188, 19632, 14, 338, 27, 27, 22, 1091, 1225, 14, 5816, 274, 35222, 14, 286, 42462, 84, 14, 374, 18, 18, 20, 1091, 1225, 14, 3605, 7956, 5942, 5225, 4352, 14, 3605, 5942, 5240, 16, 188, 28124, 14, 338, 27, 26, 21, 1091, 338, 27, 26, 24, 14, 5044, 1180, 18626, 41690, 1180, 380, 5048, 4912, 14, 48007, 14, 5942, 16, 188, 19632, 14, 338, 27, 26, 24, 15, 14651, 29, 9701, 14, 338, 27, 26, 27, 1091, 338, 27, 27, 19, 14, 374, 18, 18, 19, 1091, 374, 18, 18, 23, 29, 13992, 14, 374, 18, 18, 19, 1091, 374, 18, 18, 20, 29, 21107, 84, 14, 374, 18, 18, 20, 1091, 374, 18, 18, 21, 29, 3879, 15, 13100, 14, 374, 18, 18, 21, 15, 20, 18, 18, 22, 29, 286, 3879, 314, 20, 18, 18, 22, 1091, 374, 18, 18, 23, 557, 6321, 33976, 48007, 21656, 551, 14, 48007, 14, 5942, 16, 188, 24383, 6479, 274, 254, 802, 14, 374, 18, 18, 25, 15, 20, 18, 18, 26, 16, 188, 24383, 551, 40820, 5557, 324, 374, 18, 19, 19, 15, 20, 18, 19, 20, 3443, 407, 4272, 607, 25, 27, 18, 15201, 16, 188, 7260, 31570, 16077, 5557, 14, 374, 18, 19, 20, 286, 374, 18, 19, 21, 16, 188, 31678, 12560, 14, 4175, 29042, 6086, 28420, 7637, 38246, 29, 29042, 4762, 48007, 29, 24030, 407, 6321, 33976, 15, 2816, 24363, 21656, 551, 29, 4452, 374, 18, 18, 27, 15, 20, 18, 19, 24, 16, 188, 6687, 15, 40, 9850, 286, 9701, 14, 338, 27, 26, 27, 1091, 338, 27, 27, 22, 14, 3206, 5883, 10319, 1310, 10017, 41162, 16, 188, 54, 33783, 6284, 328, 36921, 1186, 286, 16226, 46108, 14, 48007, 32878, 6852, 14, 338, 27, 27, 20, 1091, 338, 27, 27, 21, 16, 188, 12216, 4844, 15096, 10533, 15, 21092, 14, 2857, 2093, 6852, 14, 3605, 7956, 5942, 17920, 28059, 41162, 14, 338, 27, 27, 20, 1091, 338, 27, 27, 21, 14, 286, 15709, 15096, 10533, 14, 338, 27, 27, 21, 1091, 338, 27, 27, 23, 16, 188, 19632, 14, 338, 27, 27, 18, 1091, 338, 27, 27, 20, 14, 32329, 496, 14334, 4539, 40434, 41309, 6852, 29, 6616, 14, 4929, 338, 27, 27, 19, 14, 5942, 26921, 7456, 506, 18107, 29, 10945, 274, 10120, 324, 6110, 6739, 39781, 282, 10017, 939, 1834, 12485, 551, 17097, 3142, 420, 343, 5048, 11097, 2867, 21041, 14, 338, 27, 26, 27, 1091, 338, 27, 27, 20, 14, 31175, 3775, 655, 406, 1036, 26921, 10017, 8028, 387, 5604, 13907, 4704, 4580, 29, 745, 41500, 3442, 14, 48007, 374, 18, 18, 18, 14, 3206, 3497, 268, 607, 314, 3711, 503, 18220, 1917, 286, 26304, 28701, 20113, 581, 338, 27, 27, 20, 29, 1822, 276, 16896, 343, 48007, 20289, 4580, 4272, 16, 188, 19632, 14, 309, 33783, 3801, 24585, 6640, 17920, 15, 28724, 32878, 6852, 14, 338, 27, 27, 20, 1091, 338, 27, 27, 23, 16, 188, 39067, 6480, 1544, 338, 27, 27, 18, 276, 17805, 2142, 21903, 274, 5537, 8766, 8946, 16, 0, 35, 1515, 264, 796, 1914, 282, 22552, 1033, 886, 276, 254, 2069, 14, 8838, 32393, 26656, 2977, 286, 5228, 33131, 16, 188, 1516, 1039, 255, 594, 15, 29984, 14, 2057, 2069, 29781, 5961, 4658, 21180, 5215, 14, 10479, 25381, 286, 10555, 2116, 44014, 16, 380, 3834, 1914, 670, 254, 2069, 311, 3989, 20563, 14, 3400, 328, 1656, 2269, 390, 4544, 305, 2044, 16, 0, 54, 23688, 384, 5249, 465, 266, 5815, 2307, 46236, 32905, 46409, 14, 480, 29702, 24312, 979, 4487, 293, 247, 507, 85, 1888, 256, 8501, 12555, 317, 1448, 303, 1542, 766, 400, 11936, 27580, 363, 14347, 1366, 44155, 247, 1886, 81, 6190, 267, 16, 338, 18, 26, 18, 3379, 607, 18, 8636, 308, 5573, 396, 77, 4322, 13913, 16, 21817, 5978, 88, 10297, 22073, 714, 74, 535, 4389, 1277, 75, 14, 299, 20608, 250, 247, 778, 2399, 317, 293, 1366, 17464, 654, 328, 8208, 312, 766, 329, 308, 14, 1108, 3568, 1559, 263, 778, 2399, 317, 328, 641, 365, 308, 329, 308, 14, 30113, 654, 75, 536, 188, 45, 1172, 466, 328, 24018, 25194, 8566, 4222, 1998, 331, 1886, 13550, 250, 30652, 4595, 35432, 953, 1411, 2307, 8962, 1366, 20735, 14, 22651, 8208, 312, 383, 15742, 30905, 455, 328, 953, 1411, 2307, 8962, 1366, 20735, 24018, 25194, 3763, 3190, 1998, 16, 309, 2791, 727, 8671, 465, 8401, 91, 21824, 1366, 3763, 11596, 659, 3874, 14, 247, 2791, 727, 8671, 465, 8401, 91, 21824, 1366, 3763, 11596, 659, 3874, 328, 396, 5486, 17917, 465, 344, 5154, 263, 23563, 28525, 22387, 249, 6558, 16, 22420, 451, 885, 465, 654, 91, 25861, 250, 43132, 1741, 1366, 536, 188, 50, 1255, 14400, 28, 338, 607, 18, 18, 8501, 300, 8671, 15397, 6870, 383, 288, 374, 18, 19, 24, 41210, 16, 21209, 81, 607, 25, 22, 306, 14, 1434, 20735, 465, 8732, 664, 1548, 16, 32820, 23772, 570, 21920, 14882, 4215, 34234, 1366, 257, 400, 87, 301, 885, 465, 2266, 258, 4389, 267, 299, 2307, 91, 554, 1366, 14, 34234, 1366, 16, 610, 8732, 256, 548, 88, 493, 4870, 267, 465, 2266, 258, 5746, 341, 659, 766, 1366, 28167, 1366, 13974, 23772, 1711, 16, 354, 536, 188, 6906, 28302, 328, 1464, 14, 633, 2127, 14, 286, 12856, 13421, 403, 13011, 343, 1093, 282, 1074, 2365, 10200, 16, 34942, 2591, 3310, 332, 20841, 7644, 1845, 37681, 282, 25315, 2374, 561, 248, 11947, 2591, 3310, 8329, 1063, 4654, 16, 14933, 248, 6973, 5598, 3845, 3407, 21918, 403, 3506, 14, 532, 368, 476, 18371, 729, 407, 19122, 248, 1603, 6973, 24061, 16, 4801, 721, 403, 19029, 48075, 343, 4566, 819, 348, 28064, 5802, 14, 20313, 14, 12061, 390, 17591, 23696, 282, 42959, 16, 1258, 85, 2377, 353 ]

[ 1, 4149, 14, 9799, 314, 1578, 855, 11, 407, 254, 4547, 827, 281, 561, 274, 24286, 13277, 14, 663, 311, 669, 254, 385, 2625, 319, 28609, 274, 254, 11619, 16, 3805, 37389, 311, 43633, 14, 1081, 19973, 403, 17180, 32472, 594, 16, 826, 6318, 3133, 314, 47, 1020, 11, 7729, 282, 254, 3405, 2069, 314, 20176, 660, 581, 532, 669, 4708, 254, 7716, 314, 20176, 660, 11, 343, 254, 28609, 274, 254, 14875, 314, 12222, 481, 188, 20176, 660, 314, 46, 19, 14, 1827, 22080, 11, 311, 276, 367, 262, 705, 14, 248, 3893, 17874, 726, 855, 14, 533, 8405, 520, 1464, 4133, 276, 763, 1062, 5634, 12133, 16, 826, 311, 12480, 5618, 407, 37389, 28, 345, 311, 43633, 28, 1205, 520, 1464, 4424, 801, 713, 580, 3758, 14, 387, 248, 2110, 1110, 353, 587, 563, 276, 1495, 16, 188, 510, 12696, 2680, 276, 24286, 311, 11585, 276, 254, 338, 18, 394, 2342, 2722, 282, 254, 14875, 286, 47955, 248, 2196, 34847, 314, 46, 19, 18, 481, 1469, 311, 669, 254, 1177, 12630, 28609, 274, 254, 10718, 855, 16, 380, 4013, 311, 1438, 282, 6106, 254, 2664, 281, 276, 24286, 314, 44, 28700, 481, 1993, 403, 1062, 2196, 13629, 274, 2251, 16, 188, 510, 5095, 314, 7519, 11, 311, 28980, 407, 33161, 14, 2196, 276, 520, 1193, 14098, 286, 1788, 254, 16427, 14, 532, 276, 254, 848, 394, 2342, 16, 1472, 267, 23750, 457, 85, 5095, 4279, 688, 2169, 274, 9016, 16, 188, 510, 4547, 827, 281, 561, 274, 24286, 286, 2926, 1472, 267, 23750, 457, 85, 1881, 375, 2020, 311, 13277, 276, 254, 890, 394, 2342, 274, 4149, 16, 13277, 311, 755, 251, 735, 460, 286, 276, 248, 17558, 291, 2342, 14, 2328, 254, 8631, 624, 8093, 16, 750, 311, 254, 3506, 1389, 1065, 274, 22925, 286, 4653, 1575, 286, 14505, 16, 330, 7198, 255, 2701, 248, 2187, 274, 27669, 343, 520, 1096, 1285, 1033, 1956, 5332, 286, 2926, 10665, 1034, 13474, 14, 1002, 2101, 345, 1042, 593, 756, 407, 5778, 35162, 1444, 417, 2876, 1062, 2019, 387, 254, 980, 274, 254, 5332, 432, 830, 573, 2956, 16, 5066, 14, 15380, 403, 28149, 7004, 276, 5475, 4203, 14, 593, 13277, 1844, 276, 436, 2342, 3032, 4426, 16, 188, 686, 5732, 7640, 26128, 14, 3759, 311, 417, 2258, 343, 3183, 390, 665, 2107, 855, 532, 343, 17558, 291, 9648, 17, 26252, 4902, 16, 1993, 15641, 4149, 286, 2926, 4715, 16, 188, 33314, 14, 1745, 15, 5366, 22947, 7664, 348, 1045, 6517, 2118, 403, 2258, 343, 688, 2169, 274, 4502, 3759, 14, 417, 348, 3684, 348, 254, 4800, 25985, 7664, 14, 417, 348, 3355, 348, 254, 4092, 7664, 16, 380, 3759, 311, 624, 30156, 3353, 16, 188, 60, 267, 23750, 4168, 1125, 1090, 348, 248, 1056, 6082, 14, 533, 29515, 436, 5979, 13277, 1062, 963, 16, 750, 18898, 1181, 343, 7478, 3133, 276, 520, 769, 6866, 666, 5095, 14, 348, 248, 7021, 338, 286, 374, 6082, 16, 3996, 1062, 5384, 14, 345, 1582, 3285, 254, 1162, 580, 16, 750, 1845, 573, 282, 10888, 1385, 7478, 3133, 314, 47, 1020, 14, 4547, 827, 281, 561, 274, 24286, 14, 276, 254, 2342, 274, 254, 15380, 481, 188, 6264, 14, 276, 248, 5332, 14, 254, 6082, 1042, 417, 756, 872, 282, 27534, 14, 532, 3095, 282, 865, 670, 282, 3355, 1051, 276, 254, 8948, 14, 390, 670, 282, 1252, 3689, 14, 843, 282, 20763, 1637, 286, 1862, 624, 1575, 286, 1125, 642, 1789, 533, 403, 1062, 1369, 324, 1472, 267, 23750, 16, 4644, 282, 520, 8105, 14, 345, 369, 1181, 274, 248, 7478, 6082, 2499, 683, 811, 272, 26416, 7198, 255, 16, 13277, 311, 276, 254, 2256, 37424, 274, 34736, 14, 286, 34736, 311, 276, 254, 2256, 37424, 274, 13277, 16, 3774, 520, 2482, 311, 23479, 328, 7131, 14, 520, 19785, 15921, 311, 900, 276, 248, 5011, 1026, 16, 188, 3294, 254, 1057, 671, 14, 13277, 314, 779, 5332, 11, 311, 669, 1472, 267, 23750, 457, 85, 2417, 16, 13277, 311, 17805, 37389, 14, 520, 3405, 2069, 314, 46, 19, 11, 407, 855, 1205, 345, 669, 492, 1083, 254, 11619, 16, 188, 38, 1437, 252, 314, 60, 267, 23750, 457, 85, 7148, 14, 520, 5095, 11, 311, 47955, 13277, 16, 37219, 286, 5332, 403, 520, 1464, 16, 750, 2468, 513, 1269, 327, 16, 1268, 520, 3405, 2069, 314, 27828, 2437, 11, 311, 9799, 407, 254, 28609, 274, 254, 848, 394, 2342, 14, 254, 4013, 16, 1664, 311, 248, 4236, 282, 2014, 16, 188, 1982, 360, 1354, 254, 1307, 2777, 570, 713, 7966, 14, 360, 915, 1949, 4139, 16, 188, 20176, 660, 457, 85, 1307, 2777, 280, 311, 276, 254, 338, 18, 394, 2342, 286, 10047, 12554, 268, 286, 6648, 3405, 3133, 713, 520, 5095, 16, 188, 47, 1020, 2826, 386, 2777, 280, 311, 1062, 2722, 282, 1472, 267, 23750, 457, 85, 338, 18, 394, 2342, 28609, 14, 19474, 5095, 343, 22925, 16, 188, 60, 267, 23750, 369, 9619, 254, 2371, 20104, 5332, 387, 254, 5521, 418, 664, 5272, 800, 328, 4297, 338, 23, 394, 14, 374, 18, 18, 19, 670, 345, 3542, 254, 1423, 274, 520, 1096, 16, 750, 369, 495, 22, 1090, 1668, 286, 520, 338, 19, 394, 2342, 369, 10288, 16, 7644, 28609, 13277, 14, 254, 4547, 827, 281, 561, 274, 24286, 14, 3285, 254, 28609, 274, 254, 802, 16, 380, 1844, 274, 254, 14875, 276, 436, 2342, 2636, 520, 5095, 282, 321, 14459, 276, 436, 802, 16, 5328, 14, 1544, 34736, 311, 669, 276, 436, 2342, 14, 436, 8631, 669, 4765, 248, 2165, 4533, 348, 360, 587, 915, 16, 188, 20, 18, 18, 19, 311, 1726, 324, 3265, 7729, 282, 9490, 314, 47, 2199, 1588, 418, 24, 581, 286, 5475, 4203, 314, 46, 27, 481, 23485, 327, 13277, 10466, 4653, 22925, 14, 436, 802, 369, 248, 4475, 580, 16, 496, 1596, 14, 360, 452, 282, 1852, 327, 399, 1437, 252, 311, 276, 6517, 2118, 14, 286, 2926, 669, 12614, 407, 34736, 16, 496, 248, 2110, 3177, 360, 476, 8340, 401, 366, 8920, 1472, 267, 23750, 248, 4188, 28, 1996, 282, 1862, 597, 286, 7924, 520, 4688, 390, 1450, 324, 642, 44458, 29143, 16, 750, 852, 254, 5987, 16, 188, 510, 7760, 355, 3592, 811, 2636 ]

[ 1, 666, 314, 5844, 85, 338, 28, 26, 481, 380, 6967, 327, 7467, 3419, 2936, 17883, 369, 254, 6967, 274, 248, 4715, 16, 17403, 14, 40059, 67, 14, 5604, 7911, 14, 254, 7435, 274, 254, 5979, 1111, 3414, 311, 248, 1062, 1887, 6967, 3, 839, 403, 1045, 974, 274, 327, 6967, 16, 1260, 2740, 17883, 286, 6851, 274, 2936, 5935, 14, 7467, 311, 6817, 441, 282, 669, 6967, 1887, 3, 188, 21516, 441, 276, 374, 18, 19, 25, 348, 360, 24912, 713, 748, 353, 4313, 747, 282, 6967, 1887, 324, 633, 5935, 1111, 395, 254, 11182, 16, 0, 686, 374, 18, 19, 19, 14, 4966, 31547, 68, 1143, 580, 274, 254, 944, 512, 971, 14, 8808, 10204, 422, 11021, 274, 254, 802, 16, 731, 369, 248, 18265, 27225, 9060, 247, 9560, 14, 11471, 14, 286, 272, 848, 23, 15, 2823, 15, 741, 6515, 636, 16, 731, 369, 500, 9153, 46822, 274, 323, 33210, 1111, 1945, 1340, 248, 2835, 668, 500, 9153, 1585, 81, 14, 254, 6287, 3686, 257, 33210, 25647, 286, 520, 1409, 324, 25932, 14, 286, 10295, 248, 2835, 668, 811, 843, 6475, 5198, 248, 6268, 6394, 476, 7125, 559, 248, 6977, 2494, 279, 640, 294, 274, 9060, 37328, 16, 188, 1982, 626, 434, 12740, 663, 5887, 254, 19223, 1575, 274, 5230, 32466, 14, 353, 434, 31547, 68, 1111, 395, 276, 374, 18, 19, 23, 14, 345, 13286, 254, 500, 9153, 5811, 713, 254, 24622, 18265, 2868, 39501, 434, 5116, 14, 533, 1856, 254, 5461, 14612, 551, 6928, 434, 9315, 10366, 262, 22600, 11899, 5557, 286, 369, 24709, 324, 272, 28499, 91, 16, 496, 580, 15, 11642, 12926, 314, 4465, 31547, 68, 8925, 11029, 286, 4395, 37089, 581, 39501, 434, 5116, 755, 3091, 713, 254, 4701, 274, 7899, 551, 47828, 432, 1444, 254, 1499, 14, 432, 2702, 5001, 570, 282, 11546, 2963, 282, 22451, 282, 8514, 9496, 14, 8864, 671, 276, 615, 14696, 14, 8352, 85, 14, 24412, 14, 286, 8841, 16, 1258, 434, 811, 1309, 353, 434, 8298, 14256, 324, 3997, 3584, 1093, 343, 272, 6153, 12261, 390, 248, 32639, 2502, 26420, 5644, 568, 16, 188, 510, 1250, 2858, 274, 39501, 434, 5116, 314, 4465, 3277, 47828, 747, 18751, 2200, 331, 31447, 274, 1997, 294, 1297, 331, 31447, 14, 23347, 25647, 6365, 1997, 6893, 14, 286, 13258, 30507, 16394, 274, 7855, 434, 1201, 19842, 11, 262, 2066, 282, 3575, 328, 24622, 2966, 16, 1838, 310, 7360, 343, 31547, 68, 668, 2858, 763, 434, 944, 6037, 15, 7575, 273, 16637, 14, 254, 671, 345, 18203, 38372, 276, 10586, 14, 286, 14, 274, 2211, 14, 843, 282, 1354, 633, 1640, 2653, 5218, 357, 10348, 16, 188, 510, 5742, 3315, 274, 436, 2858, 311, 811, 22223, 16, 3063, 368, 452, 248, 7383, 4950, 390, 248, 7383, 11295, 327, 434, 276, 353, 33, 188, 510, 2382, 327, 1623, 6054, 561, 324, 479, 311, 254, 4950, 274, 254, 13258, 30507, 16394, 11295, 327, 360, 2169, 274, 43209, 328, 29, 432, 248, 1708, 15, 3374, 1806, 14, 368, 915, 327, 626, 403, 836, 1612, 12068, 3435, 561, 14, 286, 10985, 16, 310, 811, 1141, 327, 434, 272, 15645, 45347, 2382, 16, 188, 1843, 626, 434, 1495, 4950, 274, 6676, 13743, 5444, 3198, 248, 47986, 70, 3, 2003, 434, 432, 2939, 38860, 10593, 333, 67, 434, 10032, 14, 286, 345, 34085, 742, 254, 1708, 286, 436, 10985, 3144, 561, 343, 436, 16832, 15, 13195, 6676, 13743, 16, 6578, 311, 2602, 40927, 276, 272, 1307, 774, 81, 16, 188, 7176, 580, 369, 254, 944, 2746, 282, 8987, 33, 188, 38, 6247, 5444, 276, 39353, 2353, 254, 944, 785, 282, 915, 16, 3699, 4977, 1245, 311, 756, 593, 1017, 14, 593, 368, 452, 282, 6975, 254, 6394, 713, 272, 17810, 1844, 282, 915, 748, 434, 3198, 16, 740, 1719, 552, 360, 1441, 2731, 4800, 1051, 713, 248, 11295, 390, 4680, 248, 2741, 14, 327, 434, 248, 2628, 4950, 327, 4279, 688, 4325, 671, 16, 188, 4, 1853, 3402, 348, 360, 8195, 254, 4950, 14, 248, 13003, 15259, 786, 8202, 3858, 713, 254, 3544, 449, 188, 1253, 360, 512, 2314, 668, 39501, 434, 5116, 14, 286, 668, 500, 9153, 248, 1603, 1090, 3502, 14, 403, 836, 22794, 2722, 15, 484, 13394, 274, 2653, 1129, 1143, 14, 390, 2653, 1129, 34275, 16, 1691, 2169, 274, 3758, 513, 368, 1862, 47828, 670, 596, 1441, 328, 6394, 33, 188, 2976, 254, 17458, 286, 15142, 13967, 41002, 328, 254, 913, 403, 1062, 17733, 16, 839, 512, 2314, 282, 5838, 16, 1838, 360, 5155, 276, 248, 1026, 327, 13792, 282, 611, 3035, 748, 2428, 3149, 441, 668, 254, 2653, 16, 24836, 327, 8460, 9349, 18571, 432, 254, 1844, 368, 1503, 321, 6876, 276, 387, 248, 2741, 1111, 3414, 434, 272, 6723, 272, 8223, 3442, 476, 1623, 4132, 343, 16, 7823, 4140, 311, 19539, 2683, 14, 7919, 580, 628, 274, 254, 3544, 276, 9229, 2683, 286, 254, 1515, 3563, 274, 783, 2175, 561, 3108, 353, 16, 188, 1212, 669, 5155, 328, 4270, 21683, 14292, 14, 688, 274, 254, 22740, 5698, 14292, 368, 476, 751, 14, 286, 360, 1665, 1004, 11295, 7100, 328, 748, 360, 1141, 18956, 353, 1111, 27019, 1062, 2519, 1665, 14, 974, 603, 626, 403, 1837, 19978, 390, 254, 12551, 274, 248, 1665, 742, 254, 5183, 3108, 353, 14, 368, 1038, 625, 961, 327, 16, 1268, 254, 1491, 4140, 14, 603, 626, 311, 580, 14, 311, 327, 360, 1441, 9349, 47828, 663, 1041, 15645, 5230, 2653, 16, 839, 1441, 417, 4094, 6261, 1111, 43, 476, 625, 1041, 248, 29847, 2726, 1371, 289, 1344, 42491, 997, 348, 1157, 348, 1594, 368, 1817, 915, 328, 254, 913, 16, 188, 3912, 274, 254, 6258, 327, 434, 811, 14499, 46231, 436, 2858, 311, 254, 23550, 486, 387, 254, 980, 274, 254, 2939, 38860, 10593, 333, 67, 8802, 1111, 455, 1093, 9569, 286, 36826, 14, 502, 7984, 2049, 282, 8716, 3327, 16, 19329, 479, 748, 353, 434, 747, 282, 2986, 1594, 747, 327, 16, 188, 1212, 1052, 327, 772, 347, 18918, 18329, 38361, 928, 11479, 407, 248, 6029, 276, 500, 9153, 46822, 274, 323, 33210, 830, 543, 779, 45781, 2653, 7098, 63, 12607, 87, 5636, 288, 26196, 30989, 9795, 668, 500, 9153, 434, 39024, 13151, 747, 248, 12350, 81, 16, 839 ]

[ 1, 670, 16739, 772, 17880, 14, 286, 360, 457, 251, 12864, 360, 457, 307, 2449, 272, 440, 1054, 18318, 5278, 274, 13420, 276, 248, 5081, 274, 14544, 1648, 4740, 28076, 14, 4740, 279, 13525, 5372, 14, 4740, 17197, 322, 286, 4740, 2482, 75, 5372, 16, 6499, 274, 772, 13420, 403, 8869, 11535, 282, 771, 281, 43684, 9965, 706, 38760, 286, 1856, 457, 86, 321, 1102, 9564, 1952, 14, 1648, 254, 13562, 771, 366, 1896, 16603, 286, 10227, 439, 358, 1578, 448, 281, 7606, 82, 437, 1297, 16603, 16, 12033, 368, 457, 251, 2731, 324, 15814, 16601, 390, 1594, 624, 5732, 14, 9747, 248, 5340, 274, 10062, 14, 1741, 888, 286, 7712, 348, 368, 5127, 254, 2764, 274, 633, 1683, 457, 85, 10473, 16, 29616, 16, 0, 11512, 1090, 3502, 2966, 14, 17890, 15, 21857, 258, 753, 16781, 388, 4840, 399, 746, 369, 306, 24551, 1051, 3238, 254, 3780, 274, 254, 14565, 375, 11235, 345, 15722, 276, 39842, 14, 13917, 16, 23721, 12489, 14, 2271, 40112, 390, 838, 7059, 670, 345, 369, 9091, 407, 3746, 1322, 328, 1081, 6936, 324, 520, 3808, 274, 13387, 286, 39165, 869, 45664, 286, 36368, 2380, 14, 399, 746, 369, 248, 10021, 4179, 286, 248, 636, 274, 6158, 327, 310, 1256, 267, 25766, 282, 8470, 23714, 4237, 10237, 16, 188, 61, 19509, 10944, 368, 324, 2328, 819, 272, 14375, 14, 13072, 7477, 282, 436, 12434, 4326, 16, 1395, 14, 417, 254, 42910, 409, 262, 494, 14, 7699, 26098, 14, 9391, 11523, 403, 580, 254, 1125, 4462, 2075, 310, 715, 9714, 282, 1052, 4128, 44791, 348, 963, 348, 248, 16781, 16, 188, 18432, 14, 8872, 382, 276, 13917, 30793, 830, 353, 369, 327, 13369, 1008, 1362, 286, 669, 13432, 328, 843, 254, 5672, 713, 520, 2393, 555, 643, 5043, 282, 3407, 16, 188, 61, 19509, 830, 513, 360, 1431, 33, 13644, 254, 7498, 643, 13658, 14, 452, 1093, 5346, 643, 28136, 33, 3006, 407, 248, 1034, 4950, 16, 388, 4840, 399, 746, 457, 85, 15656, 3737, 248, 1280, 9994, 254, 6280, 327, 596, 403, 4414, 830, 596, 497, 1241, 1090, 3502, 16, 7023, 254, 4445, 17322, 14, 28223, 17006, 5604, 505, 14, 311, 3108, 8735, 16, 36840, 5887, 663, 21768, 9015, 4861, 668, 254, 13822, 1385, 399, 746, 457, 85, 1464, 14, 532, 1002, 2101, 387, 801, 596, 497, 6763, 14, 254, 2153, 1385, 512, 836, 5898, 452, 643, 8013, 16, 1547, 512, 1311, 452, 5346, 7180, 276, 14, 324, 1610, 14, 254, 3398, 3377, 16, 1691, 476, 360, 7328, 14, 642, 683, 327, 3198, 254, 1350, 6402, 14, 12106, 4107, 248, 14805, 668, 8205, 276, 436, 18647, 7498, 1068, 16, 188, 6609, 388, 4840, 1515, 276, 6158, 16, 0, 2943, 310, 1141, 274, 1963, 9253, 14, 310, 1141, 274, 16612, 8419, 9253, 16, 39676, 594, 14, 353, 555, 643, 327, 274, 254, 3282, 7895, 254, 1963, 14, 286, 254, 3002, 3089, 1521, 274, 254, 2086, 16, 2640, 5511, 36616, 22809, 420, 14, 327, 555, 4251, 24246, 16, 496, 1125, 10589, 254, 3002, 311, 254, 1964, 4682, 1305, 324, 254, 1963, 14, 286, 254, 3282, 311, 1635, 254, 4686, 274, 1521, 28092, 254, 2086, 16, 12809, 1081, 4507, 7948, 14, 15175, 254, 2086, 758, 254, 1521, 274, 248, 296, 9792, 390, 5208, 654, 3938, 16, 310, 1305, 13540, 670, 353, 3144, 282, 254, 4688, 282, 1305, 4254, 1963, 16, 310, 2780, 1081, 3002, 286, 3282, 933, 1872, 9441, 274, 254, 977, 282, 785, 286, 2023, 324, 615, 1963, 390, 1354, 1521, 274, 615, 2086, 16, 21256, 282, 2023, 4682, 7675, 324, 615, 1963, 311, 417, 272, 11535, 977, 282, 580, 2796, 1707, 328, 8419, 16, 0, 11478, 85, 706, 8573, 995, 3625, 5205, 28, 740, 4050, 5205, 276, 533, 368, 8943, 286, 3279, 254, 4742, 286, 25785, 274, 254, 14235, 706, 1910, 995, 276, 1321, 286, 2958, 18903, 24593, 286, 11608, 436, 9359, 2662, 825, 1063, 4917, 254, 4050, 5205, 16, 188, 25730, 286, 11608, 436, 9359, 2662, 825, 1063, 12055, 16714, 16, 188, 8209, 360, 11586, 368, 282, 3316, 254, 33479, 5367, 2211, 3315, 1285, 633, 801, 763, 1090, 328, 13416, 14, 368, 774, 1354, 597, 282, 1694, 1090, 282, 3316, 665, 274, 254, 5925, 16, 4925, 14, 603, 368, 1240, 16714, 348, 248, 22420, 37147, 14, 368, 476, 1076, 282, 3316, 772, 3315, 274, 13151, 1285, 633, 24585, 390, 17194, 1090, 16, 188, 11478, 85, 706, 8573, 995, 10632, 640, 13367, 19277, 28, 330, 2211, 2815, 282, 254, 8573, 995, 286, 5740, 939, 254, 2421, 10632, 640, 8028, 24593, 286, 11608, 436, 9359, 2662, 825, 1063, 3089, 254, 2211, 16, 188, 11478, 85, 706, 8573, 995, 3625, 5205, 28, 740, 4050, 5205, 276, 533, 368, 8943, 286, 3279, 254, 4742, 286, 25785, 274, 254, 14235, 706, 1910, 995, 276, 1321, 390, 2958, 18903, 24593, 286, 11608, 436, 9359, 2662, 825, 1063, 4917, 254, 4050, 5205, 16, 188, 23292, 3392, 7501, 28, 330, 25969, 1240, 16714, 2705, 276, 533, 368, 8117, 286, 3279, 254, 3629, 286, 4504, 274, 254, 14235, 706, 1910, 995, 276, 248, 1015, 4326, 24593, 286, 11608, 436, 9359, 2662, 825, 1063, 12055, 16714, 16, 188, 1368, 476, 13033, 3483, 274, 836, 1241, 4466, 14, 532, 368, 1339, 3316, 248, 2194, 274, 763, 819, 8227, 16, 3996, 360, 11586, 368, 282, 3316, 836, 13151, 1285, 633, 801, 763, 1090, 328, 13416, 14, 368, 774, 1354, 597, 282, 1694, 1090, 282, 513, 593, 16, 4925, 14, 603, 368, 1240, 16714, 348, 248, 41942, 14, 368, 476, 1076, 282, 3316, 772, 3315, 274, 13151, 1285, 633, 18834, 390, 8251, 802, 16, 188, 1853, 274, 374, 18, 19, 27, 14, 2421, 10632, 640, 13367, 250, 1020, 403, 2066, 282, 688, 10632, 640, 8573, 995, 3371, 276, 248, 3587, 5192, 14, 286, 2218, 587, 980, 9772, 374, 18, 20, 18, 16, 7560, 915, 254, 8105, 2622, 324, 388, 1122, 52, 2211, 2218, 16, 188, 5897, 13151, 8117, 254, 3629, 286, 3357, 274, 254, 1910, 995, 407, 27765, 615, 40017, 14, 407, 7919, 615, 5532, 713, 2181, 14, 286, 407, 47680, 254, 1887, 3418, 14, 1081, 2391, 286, 1225, 14, 533, 596, 452, 6344, 441, 282, 35794, 16, 11648, 772, 23850, 368, 587, 669, 3034, 282, 1263, 633, 1193, 5532, 668, 843 ]

[ 1, 321, 254, 2169, 274, 12376, 310, 573, 13556, 282, 321, 16, 8718, 310, 457, 619, 321, 2041, 282, 6115, 888, 713, 688, 274, 327, 785, 387, 688, 1110, 16, 188, 1253, 3849, 368, 282, 1242, 25180, 418, 24664, 6770, 33, 188, 510, 2714, 21625, 457, 555, 3563, 274, 15872, 16, 1997, 801, 314, 395, 310, 457, 619, 2748, 713, 436, 624, 276, 254, 1689, 1148, 11, 353, 369, 811, 13496, 742, 688, 10711, 14976, 841, 5938, 248, 1062, 5104, 673, 422, 286, 440, 1008, 25437, 2545, 5514, 343, 5311, 747, 310, 1848, 457, 86, 2314, 254, 4466, 561, 626, 324, 8071, 9749, 16, 310, 650, 1074, 4128, 1058, 2697, 2156, 713, 254, 769, 22908, 85, 457, 666, 2511, 324, 418, 24664, 14, 286, 835, 6705, 688, 1623, 1247, 440, 38028, 5588, 457, 13846, 17236, 16, 310, 457, 70, 1845, 7434, 35397, 286, 573, 643, 5150, 2912, 9749, 310, 16173, 12805, 14, 593, 387, 801, 310, 369, 811, 9487, 688, 274, 1093, 5150, 5737, 282, 6437, 16, 1260, 254, 2072, 555, 15872, 14, 593, 555, 254, 2714, 21625, 14960, 2514, 274, 618, 1887, 14271, 670, 801, 12352, 324, 6676, 9749, 369, 327, 3148, 369, 1143, 20705, 276, 748, 497, 2692, 16577, 1182, 2609, 16, 1838, 348, 360, 457, 307, 8010, 14, 254, 628, 668, 2328, 1789, 1045, 276, 254, 2016, 555, 1623, 1663, 282, 254, 41507, 16, 1585, 248, 624, 1922, 1245, 14, 360, 457, 251, 512, 668, 2328, 1789, 276, 13900, 16, 731, 457, 85, 417, 254, 14311, 274, 7928, 9995, 14, 532, 6597, 315, 555, 819, 248, 1887, 10711, 3015, 286, 248, 2187, 274, 2803, 348, 248, 1619, 324, 9995, 8555, 274, 642, 1789, 16, 1664, 403, 593, 1125, 4273, 2328, 8418, 9749, 324, 18204, 286, 5588, 836, 1842, 14, 310, 5316, 310, 915, 441, 348, 6597, 315, 457, 85, 7477, 282, 254, 2187, 16, 188, 1853, 254, 2072, 555, 15872, 14, 593, 555, 254, 2714, 21625, 14960, 188, 38561, 418, 24664, 6770, 314, 6897, 47, 11, 1848, 457, 86, 1242, 561, 343, 248, 2508, 2843, 14, 532, 1623, 811, 348, 272, 444, 1601, 91, 8745, 274, 34667, 6676, 458, 1243, 721, 248, 4422, 274, 2524, 841, 310, 573, 2956, 2328, 458, 1243, 721, 324, 618, 835, 12773, 3240, 418, 24664, 314, 250, 254, 8752, 17, 9900, 274, 374, 18, 19, 21, 481, 2646, 10160, 729, 561, 282, 3732, 348, 17212, 286, 2876, 1247, 8453, 14, 310, 4285, 282, 1354, 248, 24683, 387, 4832, 618, 1193, 1360, 14, 286, 353, 4315, 3364, 2151, 282, 1390, 353, 841, 618, 3240, 14, 418, 24664, 24270, 16, 4186, 254, 1242, 14, 19047, 369, 248, 5534, 628, 274, 13922, 14135, 47, 286, 1129, 628, 274, 327, 3015, 1623, 6344, 1789, 2049, 16, 839, 4255, 742, 444, 1601, 91, 282, 248, 38900, 2586, 668, 719, 2524, 841, 4832, 561, 16, 188, 7676, 457, 85, 643, 633, 5793, 17137, 38352, 33, 188, 3116, 5769, 311, 248, 24186, 17, 18856, 255, 17, 19545, 422, 1141, 255, 14, 286, 432, 254, 1062, 4917, 345, 369, 8838, 479, 513, 512, 274, 254, 1789, 310, 476, 457, 86, 513, 14, 747, 2706, 772, 15455, 286, 11490, 328, 254, 4242, 16, 750, 457, 85, 669, 9681, 9991, 282, 2150, 5532, 286, 811, 643, 618, 4440, 5793, 17137, 38352, 407, 2019, 16, 839, 669, 452, 248, 3224, 663, 2893, 328, 254, 2072, 343, 441, 348, 248, 23973, 276, 25130, 2116, 14, 7028, 14, 286, 512, 274, 327, 2072, 15, 423, 4866, 327, 310, 3155, 8611, 2631, 668, 1438, 713, 436, 16, 7823, 3224, 9988, 479, 843, 282, 3481, 3270, 7854, 670, 360, 497, 1311, 2430, 1789, 276, 1330, 38132, 274, 811, 338, 18, 11127, 390, 593, 16, 1268, 1623, 688, 274, 618, 5793, 769, 12712, 666, 555, 1663, 432, 254, 9197, 1305, 286, 21097, 274, 254, 3732, 286, 6211, 310, 457, 307, 1289, 939, 19047, 16, 2003, 3015, 1623, 6344, 479, 751, 436, 742, 254, 3112, 276, 248, 1026, 327, 4931, 457, 86, 452, 643, 1841, 1269, 729, 16, 188, 1931, 1623, 688, 274, 618, 5793, 769, 12712, 666, 555, 1663, 432, 254, 9197, 1305, 286, 21097, 274, 254, 3732, 286, 6211, 310, 457, 307, 1289, 939, 19047, 16, 188, 1253, 555, 643, 633, 5793, 5527, 276, 254, 2072, 1499, 33, 188, 43, 457, 79, 16713, 407, 618, 1963, 14, 801, 286, 30816, 16, 310, 4533, 603, 310, 476, 513, 1594, 327, 311, 33677, 2745, 1221, 286, 7526, 9996, 618, 1963, 14, 327, 457, 85, 3837, 4344, 16, 310, 457, 79, 669, 16713, 407, 254, 1815, 274, 417, 14306, 282, 2378, 563, 888, 282, 248, 2545, 327, 2427, 457, 86, 1294, 479, 390, 1545, 479, 282, 1649, 618, 22088, 282, 889, 16, 731, 457, 85, 11437, 14, 974, 618, 1668, 2545, 369, 4791, 3364, 286, 248, 2187, 274, 3400, 248, 2072, 311, 1062, 1837, 785, 14, 532, 310, 457, 79, 31921, 16, 11062, 785, 670, 5514, 343, 10711, 2269, 311, 3837, 20999, 16, 310, 457, 79, 16713, 286, 8814, 387, 254, 7970, 274, 41060, 1612, 5588, 1851, 254, 2008, 274, 615, 4701, 276, 772, 9749, 14, 286, 407, 254, 642, 942, 276, 436, 4351, 663, 403, 811, 1045, 282, 1041, 4344, 4866, 286, 452, 248, 1157, 671, 16, 839, 457, 307, 1143, 688, 8418, 3732, 276, 436, 2072, 1091, 942, 432, 642, 17236, 14, 6211, 14, 254, 942, 663, 1382, 254, 16527, 286, 913, 12048, 360, 785, 343, 16, 380, 2896, 311, 8418, 286, 1594, 310, 3409, 282, 321, 628, 274, 324, 248, 1062, 1034, 671, 16, 188, 24144, 785, 670, 5514, 343, 10711, 2269, 311, 3837, 20999, 16, 188, 13545, 3, 16474, 286, 2631, 16, 731, 650, 452, 643, 5167, 282, 1663, 713, 436, 343, 624, 274, 248, 7928, 286, 621, 27126, 9995, 3981, 14, 532, 254, 4569, 555, 643, 2630, 254, 9297, 16, 310, 5565, 310, 573, 254, 15359, 432, 254, 1242, 282, 417, 16577, 254, 1330, 867, 11935, 286, 282, 4377, 618, 11171, 14, 532, 327, 457, 85, 1663, 624, 343, 671, 16, 188, 1982, 580, 274, 633, 3732, 2980, 282, 1242, 615, 1193, 1360, 14, 748, 7338, 650, 368, 1862, 729, 33, 188, 30187, 633, 11171, 286, 4316, 327, 5147, 311, 248, 3316, 7924, 274, 671, 16, 839, 1004, 1623 ]

[ 1, 2728, 15289, 17985, 16, 21567, 369, 1665, 343, 811, 495, 16, 23, 6320, 10482, 11625, 3448, 16, 0, 23456, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 5698, 6394, 1146, 11677, 892, 3918, 555, 5968, 248, 743, 4704, 23327, 1834, 301, 304, 1472, 52, 5698, 8342, 6394, 16, 380, 338, 24, 14, 19, 18926, 521, 15700, 11677, 892, 7810, 15, 60, 52, 21, 18, 18, 23972, 1017, 3759, 9349, 13415, 343, 254, 1834, 301, 304, 10514, 20854, 1017, 15, 15077, 2382, 13359, 16, 380, 6394, 555, 248, 19896, 671, 274, 1637, 683, 248, 1250, 286, 3809, 5255, 13394, 387, 272, 7523, 274, 470, 14, 20, 24, 1250, 16, 16228, 13128, 343, 254, 6151, 1017, 3759, 6792, 10027, 14, 254, 11677, 892, 7810, 15, 60, 52, 21, 18, 18, 30051, 272, 3458, 3165, 15, 34033, 4988, 286, 248, 1017, 3759, 5255, 1108, 1153, 2346, 975, 16, 380, 6394, 5694, 5230, 7758, 1081, 1285, 1362, 671, 286, 387, 2286, 14, 6524, 282, 254, 2628, 12616, 4298, 16, 380, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 587, 2411, 2066, 276, 3918, 387, 254, 980, 274, 436, 2065, 16, 188, 510, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 47669, 248, 374, 22, 15, 21, 18, 18, 2122, 9400, 343, 338, 20, 14, 23, 90, 5583, 20646, 16, 2640, 254, 21758, 17276, 12583, 1472, 6017, 254, 5583, 20646, 476, 321, 6334, 407, 374, 90, 14, 1205, 11530, 254, 2382, 3184, 16, 380, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 311, 13128, 343, 248, 4298, 11580, 282, 4400, 5053, 254, 3338, 9349, 4298, 16, 380, 11677, 892, 7810, 15, 60, 52, 21, 18, 18, 5961, 338, 18, 1015, 9349, 9740, 1648, 347, 36028, 1482, 20646, 985, 347, 42, 4825, 4, 286, 347, 36028, 1482, 6574, 24550, 3333, 188, 686, 1596, 14, 254, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 311, 13128, 343, 272, 388, 4825, 3847, 15, 2721, 303, 1142, 14, 282, 818, 10711, 2456, 282, 633, 7753, 16, 380, 6394, 47669, 4941, 1015, 2456, 29, 20329, 6394, 14, 2519, 2683, 14, 1665, 10265, 14, 1642, 14, 33456, 570, 14, 1097, 3645, 5290, 286, 34869, 16, 380, 11677, 892, 7810, 15, 60, 52, 21, 18, 18, 669, 5961, 248, 3981, 27998, 9349, 4589, 14, 9155, 756, 2254, 276, 323, 8492, 14292, 16, 380, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 587, 2411, 2066, 276, 3918, 387, 254, 980, 274, 436, 2065, 16, 188, 23456, 892, 555, 3737, 248, 3300, 7315, 274, 254, 743, 1017, 3759, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 5698, 6394, 16, 9175, 561, 254, 11677, 892, 1834, 301, 304, 7810, 15, 60, 52, 21, 18, 18, 5246, 3184, 4684, 16, 380, 11677, 892, 7810, 15, 60, 52, 21, 18, 18, 3300, 7315, 476, 321, 19974, 1045, 16, 0, 6235, 3737, 276, 338, 27, 26, 27, 286, 1012, 2066, 276, 248, 16782, 286, 9580, 4024, 10872, 14, 436, 271, 700, 4411, 2496, 19088, 274, 24056, 14, 36035, 14, 286, 12096, 12570, 432, 1640, 15, 22953, 2410, 286, 9475, 12472, 388, 696, 311, 248, 20969, 274, 254, 18350, 3252, 327, 440, 3149, 512, 942, 286, 5839, 85, 274, 254, 1499, 16, 23660, 273, 432, 520, 1464, 15, 4905, 14, 32372, 30375, 5530, 274, 12096, 8670, 14, 388, 696, 34394, 10390, 561, 274, 254, 6708, 34868, 274, 32401, 324, 580, 434, 3258, 3095, 713, 248, 1026, 274, 15411, 327, 311, 1081, 4022, 286, 22425, 16, 7867, 1941, 3590, 268, 973, 14, 2869, 43974, 40583, 14, 286, 3132, 36035, 2023, 10711, 15411, 8227, 324, 254, 1842, 274, 254, 2065, 14, 254, 12059, 274, 254, 802, 14, 286, 254, 14997, 1842, 274, 1464, 16, 45910, 2075, 12096, 30375, 13988, 274, 512, 5839, 85, 452, 1102, 12472, 388, 696, 282, 321, 248, 15382, 286, 44464, 6915, 16, 188, 4, 35, 2169, 274, 1683, 4066, 1111, 927, 9113, 14, 254, 8631, 14, 286, 282, 2572, 449, 188, 4, 510, 17009, 411, 16, 42, 16, 12128, 258, 4025, 14, 684, 36, 1391, 748, 626, 311, 324, 1129, 2386, 496, 248, 671, 274, 19418, 597, 249, 35218, 286, 7026, 276, 9343, 14, 360, 872, 282, 1074, 3956, 282, 11418, 286, 321, 23250, 16, 1838, 14, 353, 311, 248, 10725, 282, 1074, 248, 1926, 327, 44562, 286, 33441, 254, 5107, 383, 2413, 274, 1910, 2705, 348, 6935, 315, 286, 26272, 16, 33662, 476, 3073, 282, 321, 621, 455, 5198, 1330, 15, 22921, 286, 1563, 15, 29819, 949, 16, 826, 1926, 14, 27477, 276, 254, 46130, 274, 1910, 2705, 14, 40328, 9083, 6814, 993, 276, 254, 2377, 274, 254, 16442, 274, 1129, 286, 9453, 945, 772, 7899, 432, 254, 16117, 995, 274, 4563, 286, 14348, 16, 31362, 398, 324, 248, 8979, 12393, 20628, 735, 304, 311, 248, 2169, 274, 1683, 4066, 1111, 927, 9113, 14, 254, 8631, 14, 286, 282, 2572, 16, 188, 4, 50, 1376, 255, 311, 254, 1464, 15, 24476, 274, 772, 12096, 4701, 16, 380, 9916, 276, 6507, 248, 5157, 3819, 274, 15411, 311, 276, 4419, 2151, 2522, 282, 1336, 441, 563, 713, 19491, 7621, 1002, 670, 360, 513, 417, 347, 37823, 4, 747, 353, 14, 1205, 4419, 254, 15400, 286, 35640, 1232, 327, 4343, 324, 254, 10711, 286, 16572, 11764, 274, 772, 33339, 1129, 16, 12472, 388, 696, 9, 1926, 311, 272, 36645, 7538, 8920, 11953, 14, 16534, 14, 286, 248, 8560, 274, 1988, 327, 360, 476, 1004, 889, 282, 545, 78, 3744, 286, 3555, 258, 772, 24056, 449, 188, 4, 35, 2169, 274, 12369, 7034, 274, 43546, 324, 772, 2289, 449, 188, 4, 50, 1376, 398, 324, 248, 8979, 12393, 20628, 735, 304, 311, 248, 2169, 274, 12369, 7034, 274, 43546, 324, 772, 2289, 16, 731, 555, 254, 5653, 274, 5194, 1232, 286, 3549, 1917, 14, 286, 310, 865, 274, 641, 509, 423, 1482, 274, 15411, 327, 311, 624, 12511, 5364, 390, 327, 3032, 348, 3258, 348, 436, 4500, 16, 26681, 14, 436, 1926, 4288, 24056, 7273, 282, 1125, 5839, 85, 14, 286, 3004, 311, 248, 32563, 30956, 274, 7040, 13387, 14, 533, 772, 1499, 24314, 315, 3095, 16, 7693 ]

[ 1, 407, 10008, 274, 254, 21603, 590, 570, 371, 265, 10204, 268, 11656, 1397, 25878, 6523, 848, 10, 21, 2192, 338, 24, 22, 15, 19, 24, 27, 16, 188, 50, 294, 20586, 14, 443, 16, 443, 896, 331, 16, 18960, 80, 15474, 14, 1145, 356, 16, 314, 20, 18, 19, 20, 481, 769, 17965, 75, 10747, 5958, 282, 28174, 2416, 45462, 276, 254, 17636, 14532, 451, 590, 570, 371, 265, 10204, 268, 11656, 274, 440, 267, 383, 40089, 7399, 1397, 500, 21382, 28370, 2147, 16, 188, 21664, 13464, 1743, 39764, 1379, 74, 363, 14, 388, 896, 323, 16, 13367, 11622, 753, 14, 1145, 356, 16, 314, 20, 18, 19, 19, 481, 769, 4657, 376, 15, 468, 570, 371, 265, 10204, 268, 11656, 2563, 2416, 45462, 274, 259, 17872, 250, 15, 35, 11748, 47641, 15, 6195, 38573, 546, 20213, 13206, 276, 6601, 4935, 7399, 1397, 500, 21209, 338, 20, 10, 20, 2192, 374, 26, 18, 15, 20, 26, 25, 16, 188, 3722, 312, 39283, 14, 354, 16, 655, 896, 443, 16, 443, 16, 39010, 14, 1145, 356, 16, 314, 20, 18, 19, 19, 481, 769, 17965, 75, 10747, 2456, 274, 26849, 35594, 2416, 45462, 713, 254, 5533, 1085, 7279, 286, 21603, 590, 570, 371, 265, 10204, 268, 11656, 274, 7399, 1397, 23350, 2147, 338, 21, 25, 19, 28, 813, 22, 15, 26, 19, 16, 188, 47, 7202, 14, 354, 16, 354, 896, 444, 16, 427, 16, 378, 8370, 773, 14, 1145, 356, 16, 314, 20, 18, 18, 27, 481, 769, 8795, 308, 21351, 15237, 274, 1307, 41163, 546, 2398, 14, 532, 417, 13387, 14, 4061, 407, 36044, 2416, 45462, 713, 254, 590, 570, 371, 265, 10204, 268, 11656, 274, 254, 2751, 1397, 23350, 2147, 338, 20, 27, 23, 28, 607, 27, 15, 24, 24, 16, 188, 50, 294, 20586, 14, 443, 16, 443, 896, 418, 16, 418, 16, 2147, 297, 294, 14, 1145, 356, 16, 314, 20, 18, 18, 27, 481, 769, 1128, 2887, 20565, 15, 2927, 1040, 274, 4402, 30091, 15921, 2416, 45462, 713, 254, 21603, 590, 570, 371, 265, 10204, 268, 11656, 274, 7399, 1397, 2253, 10656, 35716, 312, 374, 18, 10, 21, 2192, 374, 23, 20, 15, 20, 23, 27, 16, 188, 50, 294, 20586, 14, 443, 16, 443, 896, 416, 16, 401, 16, 309, 2540, 373, 14, 1145, 356, 16, 314, 20, 18, 18, 26, 481, 769, 17965, 75, 10747, 5958, 282, 4402, 30091, 15921, 2416, 45462, 276, 254, 5533, 1085, 7279, 590, 570, 371, 265, 10204, 268, 11656, 274, 440, 267, 383, 40089, 7399, 1397, 500, 21382, 28370, 2147, 848, 24, 10, 21, 2192, 813, 19, 20, 15, 25, 19, 27, 16, 188, 54, 430, 264, 12357, 14, 655, 896, 354, 16, 354, 16, 15835, 14, 1145, 356, 16, 314, 20, 18, 18, 19, 481, 769, 54, 26778, 282, 5845, 2416, 45462, 274, 36044, 713, 254, 590, 570, 371, 265, 10204, 268, 11656, 311, 2258, 343, 2462, 276, 254, 3753, 274, 742, 15, 286, 328, 15, 12743, 276, 254, 685, 1320, 268, 5533, 409, 265, 451, 1112, 25299, 274, 7399, 1397, 21209, 848, 27, 10, 20, 15, 21, 2192, 374, 21, 25, 15, 20, 22, 22, 16, 188, 53, 2053, 14, 500, 16, 388, 896, 378, 16, 388, 16, 8426, 14, 1145, 356, 16, 314, 20, 18, 18, 18, 481, 769, 24957, 45462, 274, 1104, 27071, 713, 254, 590, 570, 371, 265, 10204, 268, 11656, 2563, 20319, 682, 41679, 281, 2977, 5749, 276, 7399, 1397, 21382, 15774, 338, 19, 10, 25, 2192, 338, 22, 19, 21, 15, 19, 22, 19, 24, 16, 188, 1578, 17115, 248, 2575, 10852, 10, 75, 16, 71, 896, 1444, 254, 16107, 12302, 265, 10204, 11, 286, 16339, 2081, 434, 10381, 16, 0, 18057, 17860, 311, 1438, 282, 2730, 1081, 16853, 3170, 286, 6143, 5553, 276, 8597, 11444, 16, 10031, 254, 10183, 274, 254, 8597, 15, 7972, 15, 256, 7860, 1532, 18554, 14, 276, 5829, 4535, 274, 7742, 17860, 403, 3202, 282, 3178, 5958, 274, 6073, 286, 14429, 274, 26235, 20734, 314, 12328, 41, 11, 432, 30215, 16, 1732, 19643, 274, 19935, 314, 2932, 11, 4112, 398, 452, 643, 8158, 3608, 276, 2576, 366, 286, 20235, 638, 288, 15, 878, 375, 24118, 282, 4565, 6275, 286, 1733, 5299, 276, 38101, 2471, 3171, 2362, 2479, 14373, 16, 4772, 436, 1308, 573, 417, 2486, 643, 5597, 276, 254, 26743, 830, 8863, 274, 4022, 17860, 328, 21730, 41, 8076, 403, 3159, 282, 321, 6081, 14, 254, 7889, 274, 436, 785, 369, 282, 1056, 15015, 21147, 15965, 274, 9551, 4112, 398, 282, 25196, 248, 2772, 11120, 495, 11440, 37, 17860, 274, 254, 2471, 14, 883, 16, 71, 16, 38101, 286, 7775, 7838, 8597, 14, 274, 2537, 338, 18, 16, 23, 15, 79, 20, 14373, 276, 272, 26743, 479, 7049, 274, 10892, 19743, 16, 188, 5897, 1508, 913, 327, 254, 9551, 17860, 9713, 369, 2041, 282, 25196, 3136, 13243, 254, 2232, 558, 1168, 21, 11440, 37, 14, 7422, 17188, 441, 282, 25196, 254, 6697, 274, 254, 5511, 2858, 16, 30518, 320, 4766, 2477, 758, 17860, 532, 756, 939, 254, 32369, 24405, 274, 254, 5511, 2858, 16, 3699, 2479, 669, 5767, 327, 14, 670, 15250, 16853, 2632, 328, 254, 26743, 14, 353, 311, 1726, 282, 1242, 254, 17860, 841, 254, 27197, 311, 4095, 22907, 7865, 14, 8737, 20676, 274, 479, 7049, 6073, 15076, 254, 42221, 274, 254, 17860, 343, 19811, 274, 7838, 8597, 1129, 597, 282, 890, 16, 23, 11440, 37, 33283, 683, 19811, 274, 27197, 16, 826, 3446, 248, 3003, 274, 8597, 22665, 273, 14, 533, 1949, 5637, 8592, 18773, 274, 254, 27197, 16, 1678, 14, 276, 254, 26743, 836, 2435, 403, 2499, 7323, 348, 254, 8597, 7136, 407, 8534, 14137, 311, 2156, 5937, 407, 248, 3703, 274, 5149, 38941, 27197, 533, 40548, 254, 8597, 432, 1449, 7539, 16, 188, 9077, 6511, 5255, 17860, 476, 321, 2709, 328, 3278, 343, 9551, 2632, 276, 272, 26743, 479, 7049, 14, 532, 2772, 11120, 8592, 3163, 4279, 327, 254, 17860, 1339, 1242, 841, 38101, 13843, 16, 188, 18057, 17860, 311, 1438, 282, 2730, 16853, 3170, 11444, 16, 6499, 274, 254, 3989, 18747, 16853, 4661, 276, 254, 1499, 587, 321, 17606, 26902, 14, 343, 14, 324, 1610, 14, 272, 3159, 4766, 4988, 274, 374, 7 ]

[ 1, 9077, 2658, 628, 274, 254, 17324, 1361, 669, 15336, 19374, 21410, 33492, 39754, 14, 9679, 11500, 6041, 286, 5687, 434, 9652, 25819, 14, 28678, 955, 555, 911, 2325, 6214, 841, 248, 332, 484, 423, 527, 374, 18, 19, 26, 286, 311, 4250, 254, 1708, 16571, 5834, 348, 963, 348, 473, 11060, 27189, 1318, 16, 188, 3269, 495, 27, 13638, 432, 374, 20, 20, 25623, 2433, 14, 28678, 955, 311, 1250, 756, 282, 9539, 47850, 32156, 250, 309, 423, 336, 18424, 428, 663, 11374, 576, 27, 432, 576, 24, 21, 428, 276, 254, 607, 18, 15, 1171, 5174, 22041, 9, 1581, 16, 188, 53, 605, 34894, 4451, 434, 3326, 42087, 6870, 2861, 67, 500, 12111, 1022, 1704, 821, 20388, 843, 28678, 955, 15290, 254, 3360, 274, 4144, 254, 2214, 274, 248, 24333, 15, 32922, 5510, 274, 338, 16, 21, 6320, 16, 188, 4, 1212, 8669, 597, 343, 32156, 250, 663, 573, 282, 4780, 2705, 254, 1057, 2115, 16, 1223, 324, 254, 1689, 5808, 14, 353, 434, 3061, 328, 6517, 256, 434, 13204, 3150, 500, 12111, 1022, 1704, 749, 16, 0, 3269, 580, 274, 441, 6607, 310, 297, 5029, 1683, 14, 360, 457, 307, 643, 13109, 2151, 282, 8117, 254, 2560, 2710, 15, 13450, 2104, 2292, 276, 248, 9394, 2094, 671, 16, 826, 5603, 310, 715, 7028, 328, 3089, 8555, 274, 7758, 282, 3768, 16, 15808, 14, 1045, 403, 248, 1603, 7020, 328, 254, 15476, 286, 3551, 360, 2314, 3435, 888, 282, 16, 188, 36, 1064, 311, 580, 274, 1093, 33385, 13229, 3828, 17903, 963, 4269, 248, 3408, 603, 417, 248, 16246, 3191, 16, 2953, 18986, 9931, 21158, 343, 338, 22, 394, 286, 338, 23, 394, 5174, 9648, 5288, 276, 248, 8861, 1444, 254, 13229, 14, 5983, 272, 2845, 68, 507, 69, 2189, 274, 45347, 10481, 16, 5431, 22453, 403, 254, 18764, 39284, 14, 16527, 286, 247, 10921, 2157, 327, 1862, 254, 3748, 248, 19029, 14, 14235, 91, 43873, 16, 188, 11252, 338, 23, 10488, 31085, 274, 416, 727, 26557, 286, 387, 272, 27075, 274, 338, 22, 18, 279, 14, 378, 1064, 2701, 272, 3364, 1362, 7213, 286, 248, 30130, 2654, 432, 254, 8624, 16, 8873, 14, 353, 434, 756, 848, 10488, 1919, 432, 254, 8624, 286, 254, 2004, 530, 331, 708, 28725, 16, 188, 686, 10966, 5020, 368, 587, 1074, 254, 6685, 310, 297, 5487, 12660, 428, 18487, 37345, 286, 17460, 7549, 1595, 512, 21158, 597, 2049, 289, 9105, 13558, 327, 6350, 1394, 282, 248, 3223, 1723, 16, 188, 1516, 9791, 3748, 5961, 248, 5723, 6296, 282, 30603, 663, 650, 747, 563, 888, 276, 671, 14, 1093, 328, 254, 997, 483, 324, 254, 1689, 1887, 42829, 8670, 14, 348, 963, 348, 3629, 39877, 286, 40447, 14, 9892, 274, 254, 671, 274, 802, 16, 188, 34342, 11318, 276, 254, 20872, 274, 8716, 367, 3507, 14, 311, 254, 2176, 274, 15575, 324, 254, 378, 22429, 19662, 18172, 1091, 254, 3746, 1035, 778, 327, 1091, 343, 695, 28725, 14, 20541, 18024, 14, 1773, 6170, 1908, 258, 3247, 14, 14696, 2049, 254, 5980, 14, 311, 254, 3834, 1619, 324, 1515, 286, 36061, 16, 188, 29164, 8887, 3126, 311, 748, 368, 457, 70, 8340, 248, 1330, 14714, 3748, 282, 321, 428, 13736, 7669, 383, 276, 254, 22050, 830, 368, 476, 4126, 6667, 274, 254, 14714, 19179, 16, 3730, 353, 457, 85, 4269, 248, 7213, 282, 254, 14714, 15621, 286, 6592, 2703, 14, 4126, 254, 1806, 274, 378, 22429, 19662, 432, 254, 9138, 25738, 504, 1908, 258, 792, 14, 390, 18753, 328, 254, 34762, 274, 580, 274, 254, 1125, 14696, 16, 188, 1934, 9165, 1922, 1416, 14, 4010, 254, 24212, 5935, 274, 13205, 16, 17570, 6504, 286, 11969, 753, 286, 254, 8149, 42423, 5935, 274, 3699, 12339, 274, 8131, 22081, 294, 16, 188, 21285, 327, 1431, 561, 276, 254, 24212, 5935, 403, 347, 510, 9598, 5853, 255, 4, 15814, 276, 338, 23, 27, 26, 407, 1472, 264, 9616, 23024, 5486, 286, 254, 37232, 28290, 339, 887, 432, 254, 338, 24, 394, 5174, 16, 6064, 1514, 274, 32925, 1884, 266, 432, 254, 338, 23, 394, 5174, 286, 254, 23196, 274, 254, 13555, 8019, 432, 254, 338, 22, 394, 5174, 519, 1539, 254, 5935, 274, 3699, 12339, 274, 8131, 22081, 294, 16, 188, 37179, 8887, 80, 17057, 311, 1873, 348, 254, 769, 10418, 274, 10563, 666, 286, 311, 272, 7250, 11768, 324, 580, 15, 1183, 35972, 620, 6715, 343, 1416, 14, 39284, 286, 33598, 16, 731, 311, 4301, 276, 254, 289, 2313, 1348, 276, 310, 10697, 457, 85, 8705, 14, 2734, 2568, 1275, 305, 3990, 286, 10451, 305, 4470, 14, 756, 338, 23, 37550, 1919, 432, 254, 5980, 16, 188, 37179, 8887, 80, 17057, 311, 248, 23427, 3748, 3569, 3132, 10481, 311, 963, 6432, 343, 695, 1668, 7885, 14, 44933, 14, 18241, 286, 40020, 16, 13654, 26569, 17057, 3285, 254, 3748, 274, 10563, 276, 338, 27, 23, 24, 16, 2003, 311, 670, 10563, 2956, 282, 39987, 6153, 9648, 533, 254, 8583, 497, 6548, 282, 9238, 286, 2926, 1143, 2056, 254, 3748, 852, 417, 590, 759, 16, 10770, 615, 15777, 286, 5532, 1041, 436, 3748, 580, 274, 254, 944, 37753, 30539, 324, 272, 11030, 14, 31031, 286, 10711, 12957, 16, 13654, 8887, 80, 17057, 311, 18298, 343, 272, 9306, 3931, 276, 695, 1640, 3177, 1091, 22088, 328, 254, 6136, 16, 3201, 14, 25785, 286, 2636, 274, 4489, 10563, 403, 2828, 276, 254, 8577, 9931, 5157, 286, 368, 476, 6761, 671, 343, 254, 10563, 276, 615, 39284, 16, 3497, 282, 272, 35972, 280, 282, 13654, 8887, 80, 17057, 286, 2705, 310, 297, 5029, 276, 248, 1015, 1026, 3, 188, 38757, 311, 1873, 348, 254, 7794, 3748, 276, 254, 1499, 14, 533, 311, 2075, 353, 311, 580, 274, 254, 944, 12638, 310, 297, 5487, 30539, 16, 188, 38757, 311, 4301, 2734, 8513, 6903, 14, 3555, 276, 254, 289, 2313, 1348, 274, 254, 310, 297, 5487, 41130, 16, 1993, 763, 15476, 403, 4652, 343, 248, 5866, 2803, 286, 4326, 14, 286, 1012, 343, 254, 3921, 357, 312, 17040, 1201, 2139, 16, 380, 2104, 1444, 16301, 311, 3233, 12638, 282, 3629, 26074, 16, 595, 777, 20689, 14, 479, 15601, 286, 19040, 403, 37753, 324, 1034, 16306, 286, 2094, 1963, 35972, 620, 16, 9127, 282, 254, 17804, 274 ]

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

[ 1, 273, 276, 48179, 14, 19114, 16, 839, 2023, 368, 343, 254, 1062, 1640, 3184, 1205, 1311, 8838, 368, 5166, 2501, 16, 3699, 35554, 311, 282, 11882, 327, 368, 15820, 254, 977, 4605, 286, 248, 2133, 327, 6382, 597, 4619, 254, 1090, 16, 839, 476, 513, 327, 407, 4782, 368, 254, 1708, 14451, 1514, 2066, 286, 17309, 4236, 91, 16049, 16, 22303, 633, 671, 286, 8688, 407, 3256, 6607, 8646, 291, 10046, 273, 3157, 654, 2966, 16, 1395, 1782, 321, 2041, 282, 13417, 343, 772, 2214, 407, 11580, 273, 848, 26, 26, 15, 22, 18, 25, 15, 18, 24, 24, 24, 282, 1242, 561, 16, 188, 1368, 933, 321, 35877, 670, 353, 3144, 282, 8646, 291, 10046, 273, 276, 48179, 14, 19114, 16, 1395, 9828, 625, 563, 713, 353, 1269, 7966, 14, 286, 368, 872, 282, 2941, 748, 282, 10077, 324, 16, 826, 311, 2075, 360, 1574, 282, 1041, 1033, 3324, 282, 5256, 368, 403, 7413, 343, 254, 2035, 286, 6231, 625, 24561, 407, 665, 36271, 16, 380, 801, 3109, 311, 282, 1862, 441, 248, 1052, 407, 11580, 273, 848, 26, 26, 15, 22, 18, 25, 15, 18, 24, 24, 24, 282, 22516, 633, 2133, 16, 839, 587, 2241, 668, 633, 3418, 286, 7155, 348, 3402, 348, 368, 1862, 441, 248, 1052, 286, 751, 368, 10628, 343, 272, 13897, 16, 839, 1845, 12317, 387, 254, 10628, 4813, 14, 512, 867, 282, 785, 2292, 343, 368, 16, 188, 2943, 368, 403, 41346, 248, 1213, 324, 8646, 291, 10046, 273, 276, 48179, 14, 19114, 14, 626, 403, 2006, 4462, 282, 4370, 8646, 291, 10046, 273, 3157, 654, 16, 839, 587, 321, 254, 1640, 4360, 10510, 368, 872, 254, 944, 12557, 2501, 13492, 4466, 14, 254, 1640, 3184, 3462, 14, 286, 254, 6287, 2210, 274, 7528, 1305, 16, 839, 587, 321, 2066, 282, 5587, 368, 343, 254, 6287, 2705, 286, 6750, 276, 254, 1631, 16, 9120, 848, 26, 26, 15, 22, 18, 25, 15, 18, 24, 24, 24, 603, 368, 872, 8646, 291, 10046, 273, 276, 48179, 14, 286, 360, 1782, 785, 2292, 343, 368, 282, 6311, 315, 8195, 254, 2133, 16, 0, 1516, 3998, 14, 310, 2865, 272, 4436, 24323, 432, 618, 3224, 14, 254, 3686, 15, 7989, 15, 3014, 15, 11234, 15, 483, 15, 5195, 15273, 1232, 14, 12232, 466, 15911, 3574, 251, 3548, 16, 6788, 593, 1125, 942, 310, 865, 14, 701, 3809, 512, 9104, 274, 458, 1774, 713, 7011, 12433, 16, 1469, 6209, 2645, 479, 282, 513, 254, 1057, 16, 380, 9748, 369, 17695, 254, 6153, 8247, 276, 772, 4701, 286, 17487, 748, 587, 563, 713, 729, 16, 330, 2508, 286, 3944, 3065, 4310, 369, 254, 18027, 1110, 16, 310, 1141, 668, 843, 1125, 2008, 310, 452, 2980, 282, 7325, 597, 7280, 1544, 353, 369, 1480, 36677, 282, 8340, 2631, 1232, 16, 188, 36162, 14, 8069, 14, 25003, 14, 9582, 273, 14, 21196, 14, 14425, 14, 13922, 14, 9790, 2093, 14, 8136, 30610, 324, 2764, 3284, 286, 6319, 2778, 395, 327, 457, 85, 811, 276, 254, 5537, 19352, 16, 188, 31032, 561, 387, 254, 16919, 14, 671, 343, 1963, 286, 3732, 14, 5802, 324, 790, 14, 3629, 1165, 3149, 14, 4149, 14, 2342, 22755, 14, 12352, 14, 9787, 14463, 2778, 43, 457, 79, 2056, 626, 457, 85, 1594, 310, 457, 79, 5651, 16, 188, 2943, 11068, 343, 1629, 73, 671, 14, 276, 254, 2391, 14, 310, 452, 3096, 13666, 1544, 353, 5326, 3435, 2377, 282, 2377, 343, 19068, 37823, 721, 3, 21327, 1232, 14, 12351, 14, 39011, 16, 310, 452, 4405, 10233, 286, 7500, 343, 729, 324, 1090, 14, 4536, 327, 310, 807, 3570, 729, 22823, 564, 75, 599, 16, 731, 457, 85, 747, 254, 1612, 5607, 663, 10831, 701, 311, 20015, 974, 701, 311, 3480, 734, 265, 11515, 248, 30768, 22354, 16, 1286, 310, 476, 457, 86, 915, 368, 14, 368, 476, 457, 86, 915, 479, 16, 188, 46, 1490, 14, 310, 452, 643, 624, 7183, 282, 3437, 2244, 324, 748, 310, 961, 282, 4750, 16, 7934, 1821, 2245, 1444, 286, 1525, 479, 16, 444, 4088, 3081, 561, 16, 309, 6192, 286, 21873, 16, 188, 1516, 2391, 2065, 14, 310, 369, 276, 254, 3252, 274, 254, 2169, 274, 20781, 20094, 2314, 327, 26154, 618, 14542, 282, 2120, 328, 282, 1668, 5957, 286, 1827, 43783, 2883, 5957, 16, 1395, 865, 843, 670, 368, 2443, 272, 20909, 282, 254, 20724, 14, 353, 26104, 276, 4395, 402, 20119, 3956, 33, 310, 573, 5094, 561, 747, 248, 14714, 1360, 14, 254, 8106, 282, 751, 618, 785, 561, 626, 276, 254, 1499, 286, 452, 2996, 348, 254, 5288, 11515, 618, 15484, 14, 348, 310, 573, 2152, 324, 2489, 324, 1125, 1090, 16, 310, 573, 643, 276, 8756, 597, 249, 35218, 1544, 1364, 2871, 286, 369, 4558, 324, 2135, 14621, 282, 2738, 16, 1223, 5176, 596, 852, 14, 43177, 276, 3629, 16, 330, 2169, 433, 5799, 432, 254, 642, 1874, 274, 254, 2504, 314, 11371, 1348, 14, 15001, 11, 4774, 561, 286, 1464, 311, 3382, 14662, 406, 1562, 4251, 16, 6098, 12129, 479, 282, 4010, 14, 3191, 276, 520, 1683, 14, 2445, 520, 21505, 274, 3732, 286, 1963, 14, 314, 3414, 2818, 1694, 458, 13603, 11510, 609, 11348, 1083, 581, 3856, 387, 25295, 18197, 314, 8473, 26884, 23982, 324, 15350, 14, 501, 446, 20094, 343, 12068, 14, 6950, 14, 9034, 286, 41964, 447, 11, 286, 6344, 22516, 324, 479, 282, 9537, 387, 1427, 31948, 15660, 16, 1997, 801, 14, 310, 1815, 2778, 1397, 1253, 254, 35225, 715, 310, 2430, 7518, 3805, 254, 2710, 2889, 276, 374, 18, 19, 22, 14, 310, 452, 643, 3089, 512, 9104, 274, 458, 1774, 713, 248, 743, 1464, 16, 826, 3428, 747, 580, 274, 729, 16, 9673, 32754, 7155, 38023, 407, 248, 1603, 942, 14, 310, 3428, 8869, 4848, 16, 6098, 286, 310, 452, 12407, 282, 865, 1004, 642, 1034, 4047, 14, 348, 310, 452, 643, 14425, 520, 1250, 1926, 18338, 309, 6299, 254, 740, 1048, 21683, 16, 2936, 801, 14, 1869, 380, 4347, 274, 25295, 3420, 441, 22533, 479, 713, 520, 1499, 327, 311, 6715, 343, 12096, 1419, 1357, 16, 2028, 310, 867, 3071, 276, 520, 1683, 248, 1612, 624, 683, 248, 2065, 3502, 14, 310, 20519, 327, 345, 16306, 254, 2241 ]

[ 1, 328, 52, 1021, 51, 609, 13076, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 38093, 1279, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 11916, 23401, 28235, 102, 46988, 11573, 98, 25392, 18215, 101, 31311, 647, 3203, 426, 655, 86, 33777, 3129, 1067, 647, 3203, 16, 14928, 1089, 2327, 426, 1827, 16, 14928, 1089, 2327, 2621, 3203, 16, 24523, 426, 931, 4862, 38093, 1279, 1787, 5868, 647, 3203, 16, 34418, 426, 6259, 6471, 52, 27719, 61, 2137, 4862, 47268, 1787, 5868, 63, 647, 3203, 16, 19686, 28026, 426, 3203, 16, 24523, 1800, 9, 2386, 16, 13575, 8622, 20362, 16, 24523, 14, 3203, 16, 34418, 3185, 647, 3203, 16, 1554, 426, 931, 4862, 38093, 1279, 2327, 35296, 28339, 2012, 6735, 45, 3291, 2621, 1800, 210, 23401, 28235, 102, 15101, 39377, 647, 3203, 16, 3176, 426, 931, 4862, 27949, 28413, 5868, 647, 3203, 16, 18655, 42490, 426, 931, 4862, 20695, 42490, 5868, 647, 3203, 16, 297, 23324, 20695, 426, 931, 4862, 988, 23324, 20695, 5868, 647, 3203, 16, 4384, 2851, 28026, 426, 931, 4862, 11434, 2851, 38093, 1787, 5868, 2621, 3203, 16, 7312, 4796, 426, 1830, 4796, 6471, 52, 27719, 16, 784, 10, 2137, 4862, 13076, 4796, 15993, 4509, 46053, 65, 3908, 45662, 11, 2621, 1800, 210, 32917, 12327, 215, 34169, 33108, 647, 603, 931, 4862, 10692, 2466, 5868, 2224, 684, 19, 5141, 926, 3203, 16, 7665, 2466, 426, 36263, 2372, 65, 23654, 647, 27985, 931, 4862, 10692, 2466, 5868, 2224, 684, 20, 5141, 926, 3203, 16, 7665, 2466, 426, 36263, 2372, 65, 15698, 2621, 1800, 210, 36235, 231, 31738, 28399, 41020, 20810, 48031, 8613, 231, 24449, 5071, 12027, 111, 10395, 216, 38929, 42373, 647, 1827, 16, 24523, 47268, 37126, 61, 20362, 16, 24523, 63, 426, 3203, 16, 34418, 647, 1827, 16, 24523, 5336, 37126, 61, 20362, 16, 24523, 63, 426, 3203, 16, 3176, 2621, 1800, 210, 17100, 104, 10731, 213, 647, 1827, 16, 14928, 1089, 16, 252, 33777, 10, 20362, 11, 2621, 603, 1364, 28, 926, 1827, 16, 6171, 6618, 10, 1139, 16, 30417, 11329, 65, 16546, 65, 1796, 4199, 3147, 1661, 11, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 33447, 43782, 3129, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 53, 3473, 1314, 5904, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 33546, 16357, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 29307, 264, 13507, 28549, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 29844, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 53, 3473, 1314, 5904, 46583, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 29307, 264, 13507, 25308, 460, 28549, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 7191, 8417, 1607, 4470, 273, 17577, 4664, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 36509, 33783, 13363, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 29307, 264, 13076, 6811, 47, 4180, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 47268, 47, 4180, 25112, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 47268, 47, 4180, 25112, 36825, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 47268, 25112, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 4397, 27204, 1878, 1787, 6471, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 13076, 1630, 349, 25112, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 13076, 6811, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 16486, 38093, 2219, 792, 25131, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 16486, 38093, 24759, 25112, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 12216, 13542, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 2148, 32478, 10, 1262, 14, 931, 14, 2160, 14, 296, 14, 1364, 2192, 647, 4739, 9482, 9482, 647, 1477, 575, 477, 1800, 41368, 477, 804, 328, 52, 1021, 51, 609, 32478, 10, 1262, 14, 931, 14, 2160, 14, 296, 14 ]

[ 1, 16, 3826, 14, 513, 417, 7537, 327, 626, 403, 942, 274, 2572, 663, 403, 417, 8326, 432, 254, 1096, 2047, 2836, 429, 1091, 830, 5979, 315, 8560, 286, 10481, 311, 254, 6684, 286, 417, 254, 587, 274, 254, 6032, 16, 5932, 942, 403, 276, 7395, 343, 2572, 14, 254, 17928, 274, 2740, 14, 286, 615, 1963, 16, 380, 1096, 2047, 2482, 2468, 4356, 2572, 16, 188, 26313, 12418, 39410, 14, 7217, 31452, 2688, 7217, 418, 9524, 9032, 1029, 21360, 367, 26376, 14, 418, 6721, 1374, 34309, 3376, 3147, 37649, 282, 633, 4507, 16, 2572, 587, 10120, 633, 2314, 286, 1633, 324, 729, 16, 1664, 403, 1125, 1770, 286, 2185, 2966, 663, 14, 2731, 888, 14, 587, 1309, 282, 3622, 314, 634, 11448, 282, 1093, 663, 872, 282, 3957, 581, 769, 1982, 310, 573, 756, 17516, 282, 327, 2796, 390, 9582, 14, 310, 650, 417, 321, 276, 436, 4689, 2966, 1397, 3683, 403, 2041, 282, 1862, 254, 25613, 3979, 282, 7467, 14, 286, 452, 14683, 2443, 6418, 2936, 2314, 286, 8746, 597, 615, 19372, 14, 12895, 254, 7869, 286, 8256, 353, 282, 2490, 276, 2936, 2314, 16, 188, 20176, 267, 28520, 13782, 942, 14, 974, 345, 4699, 417, 811, 254, 763, 14, 532, 4395, 254, 2086, 282, 513, 520, 10050, 35313, 16, 5066, 14, 670, 580, 311, 7221, 282, 272, 30429, 333, 14, 819, 248, 580, 555, 14444, 286, 3133, 14, 3082, 274, 4609, 286, 1336, 276, 254, 14161, 282, 3217, 597, 248, 1963, 276, 254, 4563, 274, 254, 6032, 16, 11166, 14, 4395, 14, 276, 2572, 457, 85, 22909, 14, 254, 21082, 21465, 7626, 4765, 254, 5580, 29493, 274, 254, 30429, 1357, 16, 188, 35, 19624, 15374, 713, 254, 7668, 512, 254, 1789, 327, 6740, 404, 282, 436, 1464, 29, 248, 1026, 274, 1464, 282, 533, 345, 390, 701, 311, 29700, 314, 779, 13421, 274, 254, 2575, 432, 533, 345, 390, 701, 3144, 481, 1395, 4143, 2075, 345, 17, 6512, 2468, 915, 14, 2903, 390, 11129, 254, 1789, 274, 2572, 29, 641, 14, 314, 263, 311, 11, 974, 345, 17, 6512, 311, 248, 19624, 14, 286, 1339, 11308, 254, 4932, 348, 603, 353, 497, 272, 8819, 16, 188, 1031, 1206, 324, 2966, 28, 8474, 12418, 39410, 14, 7217, 31452, 2688, 7217, 418, 9524, 9032, 1029, 21360, 367, 26376, 14, 418, 6721, 1374, 34309, 3376, 3147, 37649, 282, 633, 4507, 16, 2572, 587, 10120, 633, 2314, 286, 1633, 324, 729, 16, 0, 4816, 1395, 1782, 2314, 610, 613, 6030, 40187, 276, 378, 8218, 602, 3, 188, 36, 8218, 602, 311, 580, 274, 254, 13605, 9174, 18272, 15168, 314, 2816, 24800, 14, 378, 8218, 602, 14, 11267, 318, 8277, 11, 18172, 14, 811, 274, 254, 8624, 274, 11135, 26662, 16, 378, 8218, 602, 14, 555, 1034, 643, 8307, 324, 658, 24800, 31852, 22469, 286, 5288, 9696, 40187, 16, 1678, 436, 311, 669, 272, 8418, 610, 3149, 322, 72, 4189, 14, 2328, 324, 248, 3834, 4331, 1773, 8766, 12957, 16, 188, 2432, 403, 641, 43754, 3468, 328, 254, 465, 3149, 322, 72, 11287, 593, 248, 465, 3149, 322, 72, 12957, 282, 378, 8218, 602, 3144, 343, 248, 1096, 324, 254, 338, 18, 282, 374, 18, 6830, 4306, 432, 633, 6596, 378, 8218, 602, 8388, 16, 188, 22376, 293, 610, 3149, 322, 72, 4570, 18782, 476, 22516, 20199, 432, 1996, 254, 5427, 2969, 25757, 390, 432, 1495, 642, 5060, 13571, 348, 2347, 16, 188, 510, 5288, 276, 378, 8218, 602, 311, 9394, 1157, 512, 802, 532, 254, 4442, 5288, 2114, 24038, 555, 643, 432, 4109, 282, 2470, 29, 254, 8612, 5288, 2858, 311, 4297, 1209, 4452, 16, 188, 510, 26346, 5288, 3758, 387, 254, 465, 3149, 322, 40187, 11287, 311, 2743, 742, 16373, 532, 626, 311, 1157, 9478, 5098, 3709, 593, 436, 311, 248, 1062, 4848, 286, 3364, 1619, 282, 465, 3149, 322, 72, 16, 1678, 14, 1899, 282, 254, 2743, 742, 16373, 5288, 353, 311, 417, 7250, 324, 1909, 733, 663, 403, 417, 2486, 12864, 276, 9703, 597, 5288, 286, 513, 417, 961, 15440, 16, 188, 29234, 20399, 607, 18, 7, 274, 254, 7760, 12587, 282, 378, 8218, 602, 403, 8171, 407, 254, 658, 24800, 31852, 532, 626, 403, 669, 1125, 30038, 324, 254, 1303, 15, 70, 1528, 16, 330, 1162, 274, 4566, 403, 2066, 14, 432, 31855, 286, 7970, 29464, 276, 254, 14375, 4890, 15, 10336, 357, 5664, 2213, 3206, 4762, 387, 254, 5976, 15, 17766, 980, 274, 254, 8700, 14, 282, 12352, 14, 3677, 1049, 8627, 286, 12275, 7290, 16, 188, 36, 8218, 602, 311, 3713, 248, 1062, 684, 36283, 888, 9, 17431, 286, 593, 626, 311, 641, 2135, 2286, 7989, 16, 1664, 403, 688, 5167, 14696, 14, 248, 4422, 274, 1157, 8735, 532, 641, 2286, 498, 24167, 16, 4801, 721, 403, 1640, 5108, 687, 248, 1157, 11176, 286, 248, 1603, 16727, 16, 188, 1853, 343, 512, 274, 772, 30539, 360, 452, 5108, 10387, 671, 286, 3324, 15587, 273, 254, 2066, 20794, 286, 642, 43754, 276, 378, 8218, 602, 593, 327, 360, 403, 2041, 282, 5419, 254, 1640, 4466, 16, 188, 686, 378, 8218, 602, 360, 476, 3831, 2626, 432, 607, 12, 11287, 46574, 747, 254, 378, 8218, 602, 3844, 7195, 19596, 939, 254, 624, 9823, 888, 24226, 3616, 747, 378, 34576, 378, 8722, 16, 1822, 254, 20794, 403, 869, 338, 18, 286, 374, 23, 2819, 4306, 282, 254, 465, 3149, 322, 72, 286, 5288, 9696, 72, 11287, 593, 360, 587, 2408, 248, 1096, 276, 633, 12957, 14036, 16, 188, 1212, 11473, 387, 378, 8218, 602, 378, 483, 2200, 14074, 324, 248, 8621, 286, 353, 369, 14724, 16, 8513, 267, 254, 3064, 311, 248, 1062, 32177, 1408, 286, 254, 27579, 403, 3834, 16, 23594, 286, 3148, 368, 872, 311, 626, 16, 5328, 596, 452, 254, 5793, 5631, 23688, 310, 452, 2378, 2254, 3, 45096, 3, 839, 587, 7754, 1663, 888, 3, 0, 13056, 470, 3812, 15351, 4117, 21618, 1491, 8085, 31782, 343, 15351, 4117, 21618, 1491, 8085, 9725, 14, 7901, 14, 5525, 28482, 16436, 8712, 706, 8841, 324, 7096, 328, 4028, 338, 27, 14, 374, 18, 19, 27, 16, 19157, 3812, 3487, 3278, 4236, 370, 4442, 370, 18, 16, 18, 18, 16, 14922, 3395, 2408, 5541, 2643, 8841, 14, 4453, 2643, 41504, 14, 27340 ]

[ 1, 274, 436, 17336, 12488, 2094, 42182, 3027, 823, 21948, 587, 25862, 324, 368, 16, 731, 587, 321, 248, 10986, 282, 1336, 368, 751, 12745, 16534, 324, 17336, 12488, 2094, 42182, 3027, 823, 21948, 954, 0, 15, 330, 42146, 460, 274, 15418, 2301, 87, 16, 188, 9334, 254, 15621, 457, 85, 2272, 792, 311, 13562, 343, 695, 4785, 3417, 406, 14013, 474, 10066, 16, 1395, 457, 619, 3109, 713, 254, 15621, 286, 713, 248, 19992, 1918, 2835, 274, 607, 14, 18, 18, 18, 1090, 274, 21747, 2803, 16, 9776, 26000, 12299, 403, 3233, 17979, 14, 29188, 4960, 432, 2006, 810, 48189, 85, 9, 7083, 1720, 16, 1993, 2408, 23398, 432, 254, 32440, 4235, 274, 48010, 1147, 3836, 329, 14, 388, 1781, 249, 789, 308, 286, 2955, 258, 2605, 262, 3595, 16, 12033, 633, 2072, 956, 12968, 282, 35667, 1862, 368, 580, 1362, 390, 763, 3498, 276, 254, 2758, 14, 1041, 2056, 633, 7213, 3672, 248, 4010, 282, 254, 15621, 16, 188, 2943, 633, 2072, 956, 12968, 21754, 368, 1919, 282, 35667, 14, 580, 274, 633, 801, 35972, 620, 933, 321, 282, 331, 35617, 35667, 16, 380, 8892, 9931, 286, 8952, 274, 8707, 35667, 403, 984, 11415, 14, 286, 254, 8927, 457, 85, 5935, 311, 695, 1684, 9960, 16, 1201, 15, 14734, 17992, 30428, 14, 390, 254, 388, 5446, 6240, 14, 369, 4131, 1788, 254, 27492, 274, 272, 8892, 8149, 39682, 343, 695, 296, 1106, 13731, 16, 1180, 436, 1865, 14, 353, 311, 669, 4395, 6117, 282, 348, 254, 11694, 82, 1783, 6240, 16, 188, 15, 380, 32831, 457, 85, 14328, 3292, 32925, 1884, 274, 254, 16833, 2279, 16, 188, 6128, 348, 633, 2072, 956, 12968, 4319, 368, 282, 4829, 35667, 14, 248, 4010, 282, 12919, 35667, 806, 3991, 368, 282, 254, 2758, 457, 85, 2953, 18986, 21241, 16, 18235, 456, 276, 254, 2710, 274, 35667, 14, 254, 8892, 12919, 2511, 311, 2057, 274, 22223, 20001, 304, 302, 4235, 16, 1997, 254, 10892, 980, 274, 254, 1668, 2758, 7885, 311, 254, 12850, 356, 15, 40, 308, 6781, 7199, 14, 272, 22529, 2522, 343, 763, 26779, 286, 9567, 274, 2803, 16, 188, 15, 1201, 15, 42, 518, 304, 18985, 1422, 16, 9942, 282, 254, 12850, 356, 15, 40, 308, 6781, 7199, 14, 436, 36516, 311, 580, 274, 254, 2758, 457, 85, 6081, 4131, 1285, 254, 20001, 304, 302, 8458, 276, 890, 27, 18, 331, 16, 39, 16, 188, 15, 1201, 15, 21664, 9183, 18985, 1422, 16, 2514, 274, 254, 2758, 457, 85, 16693, 14624, 10715, 14, 1201, 15, 21664, 9183, 311, 669, 628, 274, 254, 16693, 286, 5793, 12919, 9574, 276, 254, 1499, 16, 188, 15, 310, 15026, 32820, 329, 18985, 1422, 16, 40260, 276, 254, 890, 394, 5174, 14, 32820, 329, 555, 254, 16693, 1039, 9413, 276, 254, 2504, 286, 248, 3616, 327, 19405, 432, 254, 5732, 21747, 36516, 16, 188, 510, 15963, 11087, 311, 254, 2104, 457, 85, 944, 8307, 22494, 2586, 16, 731, 457, 85, 1683, 282, 34886, 13963, 18985, 1422, 14, 248, 5081, 274, 5732, 15777, 286, 2006, 32775, 16, 188, 4412, 368, 457, 307, 33829, 4684, 276, 35667, 457, 85, 6611, 2803, 14, 353, 457, 85, 5167, 282, 45716, 276, 248, 1603, 4829, 37940, 16, 2514, 274, 254, 1640, 4902, 282, 4126, 836, 1615, 15, 1183, 25679, 311, 328, 2997, 92, 8211, 8228, 276, 254, 4617, 274, 254, 41394, 6934, 16, 380, 8700, 5961, 6939, 17058, 286, 14209, 276, 254, 48011, 1064, 77, 3180, 286, 2006, 4149, 255, 3396, 13596, 16, 2514, 274, 254, 944, 4489, 4235, 282, 4010, 276, 2997, 92, 8211, 311, 35667, 20002, 16, 380, 15041, 3290, 13300, 6667, 274, 254, 2758, 14, 286, 368, 476, 2156, 915, 348, 2019, 348, 254, 25018, 2280, 432, 695, 26631, 16, 188, 15, 779, 41394, 45733, 25707, 6044, 16, 0, 44492, 311, 254, 1964, 2683, 274, 772, 2072, 16, 1678, 14, 360, 2314, 282, 10170, 3487, 670, 596, 403, 6140, 16, 188, 1212, 476, 2706, 495, 24, 18, 4110, 7306, 4741, 20313, 324, 1125, 642, 9094, 286, 3095, 16, 6100, 368, 272, 10473, 16565, 286, 2353, 3184, 14, 28382, 286, 11967, 3310, 282, 913, 2365, 6211, 328, 633, 22421, 33, 10948, 368, 403, 248, 8388, 1297, 286, 650, 747, 633, 23167, 2200, 8388, 282, 1431, 561, 432, 254, 9287, 33, 188, 1212, 476, 2706, 248, 4311, 5509, 282, 818, 4325, 37847, 2715, 286, 6179, 633, 2072, 4325, 4408, 16, 188, 1212, 476, 4565, 3184, 1311, 20313, 14, 495, 24, 18, 362, 84, 20313, 14, 3379, 3170, 14, 10188, 6315, 286, 4282, 2150, 282, 5256, 633, 2072, 286, 6319, 997, 254, 1640, 3, 0, 7176, 3523, 302, 1948, 36759, 6454, 311, 9887, 324, 1395, 33, 188, 18775, 15, 468, 15, 9481, 11762, 390, 367, 4926, 311, 4936, 11762, 14, 533, 311, 417, 1707, 328, 33667, 14, 532, 328, 30189, 16, 826, 555, 254, 5585, 324, 254, 7121, 8902, 327, 756, 4665, 403, 22403, 670, 2602, 248, 2525, 2181, 369, 16664, 14, 254, 10734, 27756, 274, 254, 519, 14, 2228, 14, 4665, 2631, 16, 188, 4636, 37, 11762, 311, 14, 2926, 14, 669, 1841, 1525, 254, 7780, 274, 1330, 11762, 34557, 286, 26633, 1062, 963, 2577, 494, 16, 188, 11789, 1024, 14, 2533, 819, 348, 2517, 13345, 286, 642, 19369, 2533, 3533, 843, 963, 633, 1193, 2517, 311, 4694, 407, 3083, 14505, 390, 328, 2591, 22521, 4235, 16, 188, 3350, 4359, 14, 2014, 15, 468, 15, 9481, 11762, 2701, 353, 1841, 282, 4349, 695, 1619, 276, 254, 5017, 13144, 14, 533, 2034, 327, 1002, 14801, 4694, 4235, 476, 751, 6704, 276, 254, 1708, 29540, 16, 188, 7345, 4076, 1125, 2008, 5370, 328, 254, 801, 338, 15, 21, 3083, 1508, 14, 436, 18580, 254, 4688, 274, 11061, 6948, 286, 14, 348, 248, 3954, 14, 15606, 12935, 11466, 16, 188, 35, 4957, 274, 4076, 20899, 513, 417, 5370, 328, 729, 1899, 282, 248, 3367, 274, 4377, 390, 1852, 729, 23866, 16, 496, 1596, 14, 248, 2110, 6966, 274, 30189, 328, 4936, 16102, 403, 30005, 14, 286, 3233, 328, 5939, 3963, 16, 188, 510, 10711, 286, 4576, 2517, 274, 633, 16102, 311, 274, 1748, 6177, 1045, 276, 1316, 282, 4678, 514, 436, 1040, 16, 496, 2025, 14, 3614, 254, 5370, 4155, 587, 321, 2330, 683, 343 ]

[ 1, 75, 558, 338, 3185, 2224, 374, 28, 16757, 14310, 65, 6688, 1209, 31, 813, 13835, 27985, 539, 10, 734, 61, 75, 558, 338, 3185, 2224, 495, 28, 16757, 14310, 65, 6688, 1209, 31, 495, 18, 9483, 1952, 28, 13835, 3469, 65, 2788, 426, 16247, 41207, 603, 3469, 65, 2788, 28, 9483, 898, 65, 734, 6892, 543, 1320, 10, 15855, 65, 6688, 8866, 3986, 1952, 28, 6421, 324, 883, 276, 543, 75, 324, 883, 14, 1246, 276, 47859, 10, 1554, 65, 1984, 11, 603, 1246, 2224, 314, 1554, 65, 1984, 61, 6198, 65, 1992, 3185, 17775, 15, 19, 63, 558, 684, 79, 9, 5064, 45826, 603, 4059, 61, 75, 558, 338, 63, 3493, 14661, 286, 4059, 61, 75, 558, 338, 63, 3493, 684, 1298, 5141, 13835, 1039, 65, 1190, 426, 883, 8310, 342, 603, 1390, 65, 1984, 61, 6198, 65, 1992, 63, 2224, 684, 614, 14426, 1433, 5141, 8310, 467, 898, 65, 734, 6892, 543, 1320, 10, 19, 20, 475, 539, 10, 734, 61, 6198, 65, 1992, 558, 338, 3185, 558, 539, 10, 734, 61, 1204, 65, 1190, 558, 338, 26874, 63, 16757, 1800, 254, 5257, 4059, 555, 282, 321, 1628, 561, 8310, 342, 1952, 28, 16757, 898, 65, 734, 6892, 543, 1320, 10, 24, 18, 475, 539, 10, 734, 61, 6198, 65, 1992, 558, 338, 3185, 558, 539, 10, 21976, 4059, 61, 1204, 65, 1190, 558, 338, 26874, 63, 210, 1800, 254, 5257, 4059, 555, 282, 321, 1628, 561, 9483, 1952, 28, 13835, 3469, 65, 2788, 426, 16247, 19167, 603, 3469, 65, 2788, 28, 210, 1800, 603, 254, 1294, 311, 3469, 14, 254, 7699, 311, 1649, 282, 338, 3986, 603, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 9855, 470, 28, 6421, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 426, 338, 6421, 898, 65, 734, 6892, 543, 1320, 10, 19, 8866, 534, 3986, 1952, 28, 6421, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 19167, 1952, 28, 3986, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 426, 428, 19, 3986, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 210, 1800, 931, 3986, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 210, 1800, 641, 3541, 935, 29385, 1800, 7699, 65, 10716, 61, 6198, 65, 734, 14, 8249, 10, 6688, 65, 734, 11, 428, 338, 63, 426, 428, 19, 19167, 603, 922, 65, 734, 2224, 470, 28, 3986, 3340, 65, 9879, 6892, 21151, 1554, 65, 1984, 61, 6198, 65, 1992, 3185, 17775, 15, 19, 9252, 3986, 3340, 65, 9879, 6892, 21151, 1554, 65, 1984, 61, 6198, 65, 1992, 3185, 17775, 15, 19, 63, 558, 37269, 16626, 5868, 11167, 27985, 1479, 65, 1984, 61, 6198, 65, 1992, 63, 2224, 684, 37, 5141, 210, 1800, 380, 935, 311, 1303, 15, 3321, 6535, 2498, 1800, 26721, 254, 1294, 2498, 603, 4059, 61, 6198, 65, 1992, 558, 338, 63, 3493, 14661, 286, 4059, 61, 6198, 65, 1992, 558, 338, 63, 3493, 684, 1298, 5141, 3986, 603, 1390, 65, 1984, 61, 6198, 65, 1992, 63, 2224, 684, 1884, 11483, 1016, 9, 390, 1390, 65, 1984, 61, 6198, 65, 1992, 63, 2224, 684, 76, 940, 84, 5141, 6421, 603, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 9855, 470, 28, 9483, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 426, 338, 9483, 898, 65, 734, 6892, 543, 1320, 10, 564, 10, 9346, 10, 734, 61, 6198, 65, 1992, 558, 338, 3185, 475, 338, 18, 1210, 63, 210, 1800, 432, 46239, 282, 20311, 9483, 898, 65, 734, 6892, 543, 1320, 10, 19, 8866, 210, 1800, 28519, 1294, 6421, 1952, 28, 9483, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 9483, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 29385, 1952, 28, 41207, 603, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 9855, 470, 28, 9483, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 426, 338, 9483, 898, 65, 734, 6892, 543, 734, 61, 6198, 65, 1992, 558, 338, 9252, 210, 1800, 254, 5257, 4059, 555, 282, 321, 1628, 561, 9483, 898, 65, 734, 6892, 543, 1320, 10, 19, 8866, 210, 1800, 28519, 1294, 6421, 1952, 28, 9483, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 9483, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 2498, 1952, 28, 3986, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 3986, 898, 65, 734, 6892, 543, 1320, 10, 18, 8866, 3986, 7699, 65, 10716, 61, 6198, 65, 1992, 63, 426, 428, 19, 19167, 603, 922, 65, 734, 2224, 470, 28, 3986, 3340, 65, 9879, 6892, 543, 1554, 65, 1984, 61, 6198, 65, 1992, 9252, 3986, 3340, 65, 9879, 6892, 543, 1554, 65, 1984, 61, 6198, 65, 1992, 63, 558, 37269, 16626, 5868, 11167, 27985, 1479, 65, 1984, 61, 6198, 65, 1992, 63, 2224, 684, 38, 5141, 210, 1800, 935, 311, 12996, 314, 38, 11, 2498, 1800, 41286, 1146, 801, 935, 1339, 417, 321, 248, 7699, 19167, 603, 936, 65, 9675, 61, 6198, 65, 1992, 63, 2224, 29154, 20, 5141, 210, 1800, 935, 311, 248, 7699, 3986, 1800, 9609, 324, 935, 1252, 3986, 324, 883, 276, 543, 75, 324, 883, 14, 1246, 276, 47859, 10, 1554, 65, 1984, 11, 603, 1246, 2224, 314, 1554, 65, 1984, 61, 6198, 65, 1992, 3185, 17775, 15, 23, 63, 5064, 6421, 603, 4059, 61, 6198, 65, 1992, 558, 338, 63, 3493, 14661, 286, 4059, 61, 6198, 65, 1992, 558, 338, 63, 3493, 684, 1298, 5141, 9483, 603, 4059, 61, 6198, 65, 1992, 558, 338, 63, 653, 338, 28, 13835, 7699, 65, 10716, 61, 75, 63, 426, 428, 19, 45826, 1952, 28, 13835, 7699, 65, 10716, 61, 75, 63, 426, 338, 45826, 324, 480, 276, 543, 76, 324, 480, 14, 341, 276, 47859, 10, 9007, 65, 9879, 11, 32403, 603, 341, 2224, 314, 1554, 65, 1984, 61, 6198, 65, 1992, 3185, 17775, 15, 23, 63, 558, 37269, 16626, 9, 5064, 13835, 603, 480, 653, 8249, 10, 6688, 65, 734, 2192, 16757, 603, 4059, 61, 6198, 65, 1992, 558, 338, 63, 653, 338, 28, 21976, 898, 65, 734, 61, 76, 63, 426, 1195, 10, 18, 11, 8310, 467, 1952, 28, 21976, 898, 65, 734, 61, 76, 63, 426, 1195, 10, 19, 11, 534, 2498, 27985, 936, 65, 9675, 61, 6198, 65, 1992, 63, 2224 ]

[ 1, 65, 10968, 348, 7907, 65, 10968, 188, 3933, 1289, 1207, 608, 16, 36077, 16, 19906, 16, 14609, 65, 19906, 1369, 21432, 6917, 28937, 14, 393, 477, 16764, 565, 6917, 28937, 188, 3933, 1289, 1207, 608, 16, 36077, 16, 19906, 16, 11854, 15349, 1369, 45959, 6917, 28937, 188, 3933, 1289, 1207, 608, 16, 36077, 16, 18730, 1369, 7538, 5904, 2466, 65, 7443, 14, 393, 477, 20816, 5904, 2466, 65, 7443, 14, 393, 477, 5351, 5904, 2466, 65, 7443, 14, 393, 477, 20077, 17323, 2466, 2466, 65, 7443, 14, 20077, 4173, 5904, 2466, 65, 7443, 14, 393, 477, 3335, 10891, 5904, 2466, 65, 7443, 14, 393, 477, 3335, 10891, 4173, 5904, 2466, 65, 7443, 14, 393, 477, 25853, 474, 1725, 24621, 10841, 5904, 2466, 65, 7443, 14, 393, 477, 25853, 474, 1725, 24621, 10841, 4173, 5904, 2466, 65, 7443, 14, 393, 477, 34347, 5904, 2466, 65, 7443, 14, 1408, 5904, 2466, 65, 7443, 14, 393, 477, 3279, 5904, 2466, 65, 7443, 14, 5833, 5904, 2466, 65, 7443, 14, 393, 477, 7923, 5904, 2466, 65, 7443, 14, 393, 477, 3279, 2370, 32959, 2689, 65, 7443, 14, 393, 477, 2133, 5904, 2466, 65, 7443, 14, 393, 477, 418, 84, 34887, 1465, 1800, 4445, 10949, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 3379, 4796, 1823, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 12468, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 2426, 35071, 474, 9802, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 4817, 7260, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 5719, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 3335, 10891, 6411, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 14286, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 25853, 474, 1725, 24621, 10841, 16732, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 3335, 10891, 16732, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 20077, 22995, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 25853, 474, 1725, 24621, 10841, 6411, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 20077, 6411, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 20077, 4173, 48, 1667, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 25853, 474, 1725, 24621, 10841, 22995, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 20077, 4173, 35071, 474, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 20077, 16732, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 2202, 16109, 10949, 5904, 2466, 65, 7443, 14, 393, 477, 1800, 2382, 4796, 1823, 5904, 2466, 65, 7443, 14, 393, 188, 188, 3933, 1289, 1207, 608, 16, 36077, 16, 19906, 16, 4768, 65, 23909, 250, 1369, 14656, 28937, 34072, 250, 188, 3933, 40113, 16, 17410, 16, 28251, 2317, 16, 5943, 18677, 1369, 261, 17833, 72, 65, 32489, 188, 3933, 40113, 16, 5310, 1369, 9730, 188, 3933, 40113, 16, 18293, 16, 28251, 2317, 1369, 1308, 65, 28251, 1065, 188, 3933, 40113, 16, 42886, 16, 15349, 16, 8676, 1369, 440, 20420, 188, 3933, 40113, 16, 6271, 16, 903, 13845, 1369, 38531, 20365, 726, 188, 3933, 40113, 16, 18293, 16, 2880, 1369, 8545, 188, 3933, 40113, 16, 18293, 16, 26726, 1369, 3377, 65, 42302, 188, 3933, 40113, 16, 2337, 1369, 23192, 22, 18, 22, 188, 3933, 40113, 16, 18293, 16, 85, 2248, 383, 800, 1369, 1579, 65, 22063, 188, 3933, 40113, 16, 42886, 16, 15349, 1369, 1336, 398, 188, 3933, 40113, 16, 18293, 16, 19513, 1369, 1453, 784, 1139, 348, 791, 188, 3933, 1289, 1207, 608, 16, 36077, 16, 19906, 16, 4768, 65, 25099, 1369, 36298, 19929, 5904, 188, 188, 5943, 18677, 65, 32489, 65, 79, 426, 1308, 65, 28251, 1065, 10, 5943, 18677, 65, 32489, 11, 188, 188, 5, 11721, 14577, 5802, 188, 188, 2360, 9285, 317, 4173, 5904, 28937, 10, 20217, 6917, 28937, 2192, 477, 8535, 65, 14652, 426, 11865, 2071, 65, 927, 65, 47053, 317, 2434, 256, 3067, 38859, 65, 7443, 1358, 2312, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 9285, 317, 16732, 5904, 28937, 10, 20217, 6917, 28937, 2192, 477, 8535, 65, 14652, 426, 11865, 2071, 65, 927, 65, 47053, 317, 2434, 256, 3067, 38859, 65, 7443, 1358, 2312, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 42543, 10028, 2931, 28937, 10, 20217, 6917, 28937, 2192, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 23967, 474, 1725, 24621, 10841, 5904, 28937, 10, 20217, 6917, 28937, 2192, 477, 29190, 65, 14652, 426, 11865, 1555, 474, 1725, 24621, 10841, 17323, 2466, 1358, 2312, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 18306, 10891, 5904, 28937, 10, 20217, 6917, 28937, 2192, 477, 29190, 65, 14652, 426, 11865, 12626, 10891, 17323, 2466, 1358, 2312, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 9285, 317, 22995, 6917, 28937, 10, 20217, 6917, 28937, 2192, 477, 913, 65, 8253, 2931, 65, 3313, 19032, 426, 11475, 188, 188, 2360, 15258, 6917, 28937, 10, 28937, 19929, 5904, 14, 45959, 6917, 28937, 2192, 477, 16210, 426, 11865, 6576, 65, 6262, 1358, 684, 12213, 65, 8357, 3291, 477, 1581, 65, 8191, 426, 11865, 14552, 65, 2137, 1358, 684, 6198, 65, 4768, 65, 21171, 1358, 684, 4768, 65, 21171, 3291, 14973, 804, 4090, 65, 2137, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 24051, 42302, 870, 1067, 477, 4090, 65, 2137, 16, 14063, 65, 9742, 426, 791, 2012, 19024, 3291, 188, 188, 2360, 16788, 6917, 28937, 10, 28937, 19929, 5904, 14, 45959, 6917, 28937, 2192, 477, 16210, 426, 11865, 6576, 65, 6262, 1358, 684, 12213, 65, 8357, 3291, 477, 1581, 65, 8191, 426, 11865, 14552, 65, 2137, 1358, 684, 6198, 65, 4768, 65, 21171, 1358, 684, 4768, 65, 21171, 3291, 14973, 804, 4090, 65, 2137, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 24051, 42302, 870, 1067, 477, 4090, 65, 2137, 16, 14063, 65, 9742, 426, 791, 2012, 24880, 1296, 3291, 188, 188, 2360, 7837, 6917, 28937, 10, 28937, 19929, 5904, 14, 45959, 6917, 28937, 2192, 477, 16210, 426, 11865, 6576, 65, 6262, 1358, 684, 12213, 65, 8357, 3291, 477, 1581, 65, 8191, 426, 11865, 14552, 65, 2137, 1358, 684, 6198, 65, 4768, 65, 21171, 1358, 684, 4768, 65, 21171, 3291, 14973, 804, 4090, 65, 2137, 10, 1262, 14, 10644, 2192, 647 ]

[ 1, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 21, 20, 27, 20, 20, 18, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 26, 21, 27, 24, 27, 27, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 21, 21, 19, 22, 23, 19, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 21, 21, 19, 22, 26, 19, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 19, 22, 18, 19, 22, 26, 27, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 23, 25, 27, 23, 21, 19, 18, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 23, 25, 27, 23, 21, 18, 21, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 24169, 28, 1819, 65, 18830, 14439, 1493, 65, 3066, 344, 12063, 276, 1040, 16, 8267, 32460, 1984, 17, 2614, 17, 2880, 17, 69, 15800, 302, 17, 5530, 17, 23075, 17, 22, 22, 18, 18, 23, 18, 22, 18, 16, 11064, 11, 311, 417, 1525, 254, 4003, 1802, 10, 85, 2192, 44768, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 20958, 12428, 21059, 276, 1209, 1984, 17, 2614, 17, 88, 42342, 17, 69, 15800, 302, 15, 28173, 16, 77, 92, 17, 2337, 13504, 17, 40702, 17, 19302, 17, 7312, 17, 21686, 16, 5417, 328, 1360, 607, 20, 23, 23783, 6878, 19404, 9894, 10461, 12526, 4278, 20606, 4976, 4973, 1135, 3, 0, 2432, 403, 1603, 35202, 3569, 1390, 15374, 348, 1181, 2713, 348, 330, 2177, 16, 39945, 324, 3089, 2181, 801, 286, 6817, 3418, 1938, 314, 264, 417, 387, 512, 581, 330, 2177, 11220, 1972, 6158, 2468, 321, 6604, 1269, 7150, 16, 330, 2177, 457, 2499, 9083, 6667, 555, 1845, 1649, 616, 387, 7435, 343, 642, 35202, 14, 532, 276, 436, 671, 274, 8662, 1125, 452, 1663, 282, 19082, 616, 25882, 16, 1547, 2780, 327, 254, 1477, 6288, 274, 254, 35202, 3849, 282, 254, 5884, 274, 254, 3524, 5457, 16, 1286, 756, 254, 35202, 573, 33038, 24173, 10050, 1063, 353, 8669, 561, 274, 1423, 16, 188, 35, 2177, 311, 248, 5715, 42935, 274, 254, 1668, 3853, 769, 267, 4977, 324, 272, 4977, 1397, 3928, 10578, 15860, 248, 6250, 4577, 12479, 328, 254, 4612, 16, 1180, 338, 18, 7061, 14, 495, 18, 7, 274, 665, 4577, 254, 4612, 3809, 311, 11088, 888, 282, 254, 29458, 16 ]

[ 1, 497, 16, 188, 6128, 1063, 7467, 9159, 1783, 713, 13546, 345, 3419, 441, 436, 1247, 8788, 28, 769, 17325, 315, 310, 715, 343, 368, 1845, 14, 282, 254, 1062, 980, 274, 254, 2289, 666, 314, 40552, 374, 26, 28, 20, 18, 481, 10770, 345, 311, 343, 441, 276, 254, 13555, 14161, 16, 2936, 3427, 12612, 14, 254, 13166, 14, 37089, 286, 33196, 6247, 441, 16, 188, 1435, 457, 85, 25989, 9113, 1063, 254, 6032, 7467, 286, 4377, 276, 520, 4144, 16, 750, 587, 7065, 441, 282, 6995, 16, 188, 26596, 14, 360, 12175, 327, 368, 587, 22539, 21029, 441, 274, 633, 1521, 14, 2314, 14, 286, 4328, 16, 11821, 14, 5787, 14, 286, 16609, 441, 276, 772, 2849, 274, 5839, 14, 360, 12175, 16, 2955, 258, 16, 0, 1171, 607, 23, 2476, 274, 12652, 46148, 254, 5339, 458, 10876, 10149, 16, 188, 442, 23952, 286, 4602, 286, 512, 1093, 663, 4168, 328, 254, 4403, 16, 380, 5962, 369, 2828, 10451, 16, 719, 16, 188, 2943, 254, 1508, 2411, 3449, 14, 254, 10149, 587, 6975, 370, 21, 2945, 939, 248, 5339, 458, 10876, 2490, 16, 188, 1234, 29380, 286, 6873, 1756, 749, 7682, 375, 14, 343, 843, 254, 2501, 311, 22900, 1013, 286, 5108, 16, 188, 30376, 375, 14, 2304, 254, 1508, 403, 2379, 16, 188, 3299, 1628, 10371, 30791, 580, 1110, 2094, 274, 254, 2103, 13345, 16, 188, 40310, 314, 40, 5268, 11, 3371, 276, 254, 374, 18, 19, 26, 15, 20, 18, 19, 27, 2079, 802, 1111, 267, 2490, 274, 338, 22, 401, 5268, 687, 1364, 802, 16, 188, 14273, 15, 2523, 324, 254, 6206, 274, 8695, 1350, 8141, 16, 188, 27054, 457, 85, 28132, 311, 374, 24, 3371, 10890, 683, 1364, 802, 16, 188, 33351, 2672, 712, 18147, 1442, 25536, 286, 30804, 5859, 579, 1456, 16, 188, 13966, 25536, 286, 5859, 579, 1456, 497, 444, 2564, 4507, 1063, 7353, 4602, 2672, 14, 749, 35705, 16, 188, 24200, 324, 1438, 769, 24301, 286, 4317, 666, 282, 1336, 254, 2079, 276, 665, 1026, 327, 457, 85, 2961, 16, 188, 19470, 16, 380, 2079, 311, 1012, 387, 5192, 532, 311, 7362, 248, 6008, 1581, 16, 0, 3243, 16969, 4658, 1738, 286, 1519, 1125, 7664, 274, 4658, 14752, 16, 21524, 755, 1220, 403, 248, 4489, 4360, 324, 10846, 254, 7094, 274, 633, 4658, 1269, 5702, 390, 31364, 16, 330, 2811, 311, 3608, 282, 254, 4658, 533, 5827, 254, 13202, 8125, 7876, 274, 254, 4658, 282, 385, 10355, 4373, 286, 12877, 35101, 742, 16, 826, 1213, 36749, 7636, 24911, 14, 4645, 276, 23238, 456, 14, 8998, 2731, 4658, 16, 188, 43, 452, 8293, 13596, 390, 2289, 13596, 16, 188, 3116, 4658, 311, 7036, 390, 658, 5088, 276, 3551, 16, 188, 28787, 474, 755, 1220, 2413, 276, 4609, 14, 1508, 286, 12895, 671, 16, 188, 46918, 37001, 11382, 3467, 294, 1091, 254, 3834, 769, 78, 3101, 2523, 666, 35101, 324, 512, 4658, 3395, 14, 3290, 32464, 4658, 343, 641, 1051, 2523, 16, 188, 510, 1472, 49, 495, 15, 13615, 3467, 294, 1091, 272, 13472, 15, 43738, 35101, 324, 512, 4658, 3395, 286, 9569, 327, 10741, 3248, 21037, 1508, 683, 9565, 755, 1220, 16, 188, 3294, 15, 9261, 35101, 9439, 669, 2066, 16, 0, 1130, 311, 1841, 282, 751, 633, 5769, 282, 8745, 343, 368, 16, 1223, 368, 1503, 1074, 327, 368, 747, 353, 603, 368, 457, 251, 7183, 282, 1354, 254, 2417, 286, 19287, 775, 16, 310, 2314, 282, 8745, 343, 618, 14311, 1578, 16, 3826, 14, 310, 457, 79, 4864, 668, 9749, 12352, 16, 13654, 1191, 447, 403, 248, 2560, 642, 2563, 16, 188, 1130, 457, 85, 1247, 282, 452, 775, 328, 1116, 282, 9747, 248, 1015, 1921, 390, 3189, 274, 272, 26245, 16, 750, 457, 85, 254, 1640, 387, 47857, 254, 27955, 16, 1223, 345, 457, 85, 593, 19078, 14, 345, 14523, 479, 751, 748, 310, 961, 1525, 1865, 16, 1268, 353, 3809, 688, 785, 328, 618, 628, 282, 1041, 353, 4955, 16, 188, 686, 1137, 422, 311, 254, 2165, 282, 2876, 633, 5769, 282, 8745, 343, 368, 16, 10068, 248, 2874, 343, 775, 327, 345, 457, 85, 7183, 282, 2903, 14, 747, 368, 457, 619, 1354, 561, 254, 21693, 324, 775, 436, 2065, 603, 345, 4424, 16, 188, 46749, 830, 368, 865, 345, 476, 1741, 286, 7712, 390, 1218, 1205, 368, 1574, 328, 13846, 16, 188, 29707, 472, 775, 343, 520, 7383, 10864, 16, 188, 36095, 775, 248, 1519, 747, 254, 8766, 1684, 345, 457, 85, 643, 14306, 16, 188, 19164, 775, 2151, 4226, 282, 10077, 324, 254, 1034, 1362, 16, 188, 18952, 775, 31962, 456, 16, 9473, 1038, 457, 86, 5846, 30259, 963, 16, 10068, 2056, 345, 555, 248, 5324, 328, 1116, 16, 188, 16740, 836, 11861, 16, 1395, 1503, 321, 9600, 282, 915, 748, 248, 1247, 671, 368, 476, 452, 343, 254, 636, 368, 2314, 254, 944, 16, 188, 10512, 633, 5769, 2102, 8745, 343, 368, 33, 22242, 2622, 286, 1970, 479, 1826, 603, 368, 2314, 353, 390, 8994, 353, 16, 188, 43, 513, 8745, 343, 618, 5769, 328, 7906, 16, 23721, 360, 403, 254, 7093, 274, 254, 13781, 5021, 343, 479, 20853, 1923, 1444, 254, 4513, 1205, 345, 479, 395, 398, 286, 14148, 282, 997, 387, 8555, 274, 1789, 16, 1286, 310, 457, 79, 328, 248, 671, 9863, 14, 520, 479, 46368, 311, 1062, 16852, 834, 14, 532, 670, 360, 452, 671, 282, 3355, 1051, 14, 310, 1623, 4126, 520, 2485, 286, 3175, 16, 188, 3116, 3002, 15, 250, 15, 6751, 369, 254, 1057, 16, 1469, 807, 3759, 8745, 747, 641, 642, 974, 701, 20396, 2430, 353, 16, 0, 1982, 633, 25849, 8671, 555, 643, 6825, 286, 368, 900, 772, 975, 282, 38917, 254, 2809, 14, 368, 476, 18990, 248, 3378, 274, 254, 3279, 407, 23715, 254, 4436, 900, 328, 254, 2809, 16, 380, 9359, 4436, 311, 18338, 347, 29921, 8671, 16789, 1249, 428, 7367, 16, 543, 32514, 386, 3681, 1162, 63, 3333, 731, 587, 7457, 348, 248, 954, 25535, 1819, 16, 188, 1982, 368, 403, 1311, 7390, 282, 18990, 254, 3279, 14, 4356, 2960, 441, 1045, 16, 0, 6906, 3083, 7174, 276, 338, 19, 18, 9862, 16, 188, 8263, 994, 324, 7607, 28, 5243, 34683, 9975, 1037, 731, 434, 5243 ]

[ 1, 16, 188, 988, 4518, 1348, 311, 417, 248, 36042, 26846, 407, 665, 2034, 14, 532, 345, 311, 3055, 286, 25764, 670, 345, 3095, 282, 321, 16, 17670, 327, 1623, 16315, 561, 282, 479, 328, 10879, 497, 520, 18534, 6750, 16, 750, 555, 248, 18934, 3177, 324, 8728, 670, 282, 563, 276, 324, 254, 5006, 16, 750, 913, 12512, 1788, 15, 24787, 11570, 286, 3759, 1285, 944, 274, 520, 23869, 286, 9470, 1062, 1665, 328, 520, 4525, 324, 248, 10240, 6534, 16, 750, 311, 248, 1157, 16502, 2081, 343, 4740, 40242, 1923, 6750, 14, 2101, 310, 4931, 457, 86, 1283, 775, 17324, 276, 1996, 2104, 16, 750, 311, 669, 248, 1837, 12599, 14, 286, 520, 21180, 286, 23357, 1186, 452, 643, 2165, 4156, 276, 4419, 2251, 387, 819, 248, 2784, 2289, 16, 188, 510, 1964, 7155, 310, 452, 343, 42989, 403, 520, 1615, 3609, 3026, 286, 520, 3367, 274, 4440, 85, 13260, 16, 42989, 457, 85, 1431, 484, 311, 248, 2298, 13453, 286, 345, 21117, 14898, 520, 3448, 670, 15508, 17680, 16, 2936, 3055, 1232, 555, 1143, 597, 324, 353, 2926, 2019, 14, 532, 345, 1623, 3095, 282, 2941, 254, 8566, 1915, 274, 2876, 276, 286, 561, 343, 520, 13260, 22535, 16, 750, 457, 85, 756, 374, 19, 1090, 1668, 14, 593, 345, 555, 671, 282, 3054, 14, 532, 353, 457, 85, 2674, 668, 327, 671, 830, 345, 1623, 3095, 282, 1741, 1051, 286, 3533, 1826, 520, 1615, 3609, 2892, 311, 1438, 282, 2023, 775, 343, 254, 1499, 956, 9514, 286, 3609, 10200, 2961, 324, 670, 345, 13805, 254, 29947, 390, 11277, 1065, 1245, 16, 188, 988, 4518, 1348, 2692, 650, 452, 16571, 2103, 276, 436, 10557, 14, 532, 626, 311, 1311, 688, 1500, 2417, 328, 1826, 345, 311, 1438, 282, 321, 2041, 282, 1041, 353, 282, 254, 1689, 1245, 343, 520, 1615, 10578, 867, 16, 2936, 2289, 476, 8266, 321, 248, 3893, 15, 265, 2325, 13841, 16, 839, 3970, 2950, 248, 21483, 747, 34210, 250, 14335, 91, 14, 1041, 353, 282, 254, 29947, 387, 374, 22, 1090, 1668, 14, 286, 5582, 1129, 248, 4740, 10803, 14, 345, 11652, 561, 841, 811, 374, 23869, 16, 1286, 42989, 497, 282, 855, 343, 254, 29947, 276, 254, 2734, 2764, 14, 310, 4563, 345, 650, 10801, 248, 2013, 13369, 14, 3233, 7103, 520, 1615, 3609, 3026, 16, 380, 1640, 1068, 9809, 324, 42989, 311, 324, 775, 282, 3906, 286, 38210, 520, 10786, 276, 4237, 274, 254, 331, 486, 286, 18135, 1916, 520, 1868, 282, 1444, 338, 23, 15, 18, 4440, 16, 1997, 327, 1110, 14, 345, 650, 321, 272, 7250, 4793, 324, 380, 36222, 43583, 14, 533, 807, 2023, 775, 343, 688, 1499, 956, 3609, 286, 10054, 1493, 597, 520, 2836, 597, 282, 254, 33473, 274, 748, 353, 587, 1354, 282, 1041, 353, 387, 254, 1689, 1245, 16, 188, 988, 4518, 1348, 24437, 479, 248, 2298, 274, 17726, 9136, 4798, 276, 17227, 282, 520, 4440, 6750, 14, 3616, 14, 286, 11720, 16, 42989, 311, 417, 2094, 328, 6973, 1707, 742, 520, 2391, 12534, 16, 750, 3032, 282, 452, 248, 2196, 4306, 282, 417, 756, 1041, 353, 276, 254, 29947, 14, 532, 282, 580, 1362, 2411, 248, 47864, 16, 750, 555, 1157, 1921, 14, 3759, 14, 286, 38087, 282, 18135, 580, 1362, 946, 939, 343, 327, 9664, 16, 0, 9452, 443, 6721, 274, 16751, 451, 324, 529, 36187, 1834, 1293, 1146, 338, 23, 354, 20141, 374, 18, 19, 27, 314, 23692, 5875, 276, 22525, 22957, 28, 328, 5451, 8977, 1068, 314, 510, 25454, 11, 1027, 310, 1675, 7810, 2229, 47273, 1520, 428, 5267, 434, 418, 1622, 383, 11909, 324, 529, 36187, 1834, 313, 26076, 344, 1086, 16, 188, 510, 33571, 24782, 87, 2142, 457, 85, 2964, 282, 3577, 254, 2714, 50, 2473, 22957, 5451, 7051, 1068, 457, 282, 254, 7956, 15463, 274, 31708, 314, 37, 5988, 11, 4107, 254, 1068, 977, 1008, 11358, 14, 286, 254, 6577, 1339, 33038, 40388, 254, 5451, 8977, 286, 2718, 5554, 43724, 327, 555, 5327, 1659, 248, 1162, 274, 2784, 2185, 16, 188, 510, 1068, 573, 695, 20183, 276, 248, 5666, 274, 5451, 20564, 14, 8977, 286, 18972, 276, 248, 3748, 276, 2357, 6603, 40797, 3180, 16, 188, 6004, 254, 5109, 274, 254, 9878, 369, 1143, 276, 980, 15, 23336, 14, 254, 1068, 3446, 248, 9640, 2318, 436, 2065, 670, 248, 30218, 3379, 1102, 695, 1026, 713, 254, 1321, 14845, 16, 188, 53, 45651, 432, 254, 14747, 274, 1093, 663, 497, 9572, 14, 353, 573, 248, 3306, 269, 613, 3955, 25526, 343, 616, 490, 15544, 282, 3437, 616, 3690, 16, 188, 1128, 3196, 5672, 555, 4709, 327, 254, 4172, 274, 254, 5704, 274, 254, 1694, 2784, 1770, 276, 22525, 22957, 1503, 321, 1181, 3936, 683, 311, 4607, 1012, 16, 188, 19226, 254, 9878, 369, 248, 3442, 274, 254, 1822, 5267, 16089, 399, 3276, 4215, 16824, 2929, 376, 23992, 74, 357, 313, 314, 9736, 555, 1544, 643, 5023, 432, 254, 3027, 457, 85, 13814, 581, 286, 43486, 4532, 23737, 327, 254, 1068, 8460, 1093, 1181, 2103, 276, 254, 2341, 457, 85, 10092, 3027, 9298, 16, 188, 510, 1321, 21468, 327, 47978, 573, 254, 2142, 801, 15384, 327, 254, 1068, 321, 9245, 282, 254, 22596, 24637, 15, 37, 1787, 14, 286, 835, 276, 811, 248, 1362, 14, 282, 254, 331, 5988, 16, 188, 3269, 254, 43970, 15884, 3123, 21527, 286, 4475, 13799, 407, 15, 71, 9628, 1444, 254, 6956, 14, 254, 3452, 15356, 328, 254, 1068, 311, 2692, 282, 321, 22015, 11318, 16, 188, 1130, 311, 1726, 327, 1002, 348, 254, 5672, 16479, 282, 23050, 254, 7892, 286, 4947, 254, 4172, 274, 254, 7051, 286, 2718, 5554, 11808, 14, 254, 2185, 457, 85, 6315, 286, 615, 10782, 321, 13343, 6702, 16, 188, 510, 2341, 9901, 457, 85, 5240, 555, 11981, 327, 353, 587, 2507, 272, 5672, 713, 254, 2563, 14, 5123, 10969, 3778, 327, 10079, 476, 1052, 282, 38917, 14271, 343, 3316, 38060, 16, 188, 510, 3206, 5240, 324, 9901, 555, 4329, 3960, 4328, 687, 254, 5098, 274, 2185, 276, 33571, 24782, 87, 16, 188, 686, 248, 4706, 282, 254, 2341, 399, 11960, 14, 695, 15096, 10533, 555, 2464, 327, 4426, 2181, 321, 2584, 14, 286, 7593, 272, 2181, 2584, 1280, 16, 188, 510, 2142 ]

[ 1, 2942, 274, 785, 282, 3316, 254, 4686, 327, 369, 2464, 274, 729, 16, 188, 510, 33297, 274, 4861, 286, 7269, 282, 2207, 4315, 1192, 322, 15834, 494, 276, 3622, 16, 27441, 711, 327, 343, 254, 801, 4464, 8329, 432, 254, 2646, 11793, 8217, 286, 254, 1460, 432, 254, 15463, 274, 36921, 14, 45881, 14, 286, 8498, 14901, 286, 368, 751, 272, 2843, 274, 254, 7656, 4686, 3195, 274, 254, 2367, 1361, 16, 496, 1596, 282, 327, 4686, 3195, 369, 254, 8756, 2713, 436, 6932, 15374, 286, 254, 3258, 3629, 274, 533, 1125, 328, 254, 1361, 3155, 254, 13179, 16, 310, 961, 282, 5552, 1004, 3442, 274, 254, 1361, 324, 2430, 248, 2545, 327, 369, 9041, 273, 14, 2710, 9888, 14, 286, 748, 310, 3409, 587, 321, 4269, 512, 274, 254, 16577, 286, 11995, 327, 497, 17404, 276, 436, 37446, 16, 188, 510, 6678, 274, 436, 1280, 311, 417, 282, 24808, 665, 1408, 663, 369, 328, 254, 6029, 254, 2286, 274, 254, 3183, 532, 3082, 282, 2941, 432, 436, 22113, 286, 2055, 3461, 348, 248, 1361, 1755, 683, 360, 497, 1063, 16, 20070, 286, 2436, 476, 3906, 282, 7948, 282, 254, 7180, 596, 7434, 593, 1181, 276, 436, 3279, 286, 254, 12604, 274, 1093, 663, 3155, 729, 16, 188, 3116, 6699, 312, 2885, 563, 561, 282, 657, 568, 338, 18, 286, 338, 25, 14, 254, 2672, 663, 497, 2722, 282, 254, 12830, 14, 532, 944, 15108, 282, 254, 354, 15456, 286, 6964, 39057, 5703, 16, 1664, 311, 417, 248, 1362, 310, 1038, 457, 86, 1141, 274, 368, 286, 254, 17284, 368, 1143, 16, 826, 3279, 311, 9676, 282, 512, 274, 368, 276, 254, 12721, 360, 1582, 452, 665, 819, 14969, 9709, 441, 959, 16, 188, 510, 7605, 933, 1263, 248, 10319, 7812, 23601, 3526, 16, 19157, 14, 254, 3183, 7605, 1042, 417, 452, 248, 2107, 3526, 15531, 10319, 7812, 1472, 2409, 16, 826, 3526, 933, 321, 3591, 17115, 13716, 4748, 14, 39577, 2611, 42, 14, 8454, 36356, 286, 642, 4351, 7281, 7269, 286, 12298, 348, 3681, 16, 826, 3526, 933, 2408, 254, 5150, 7923, 274, 14231, 10319, 7812, 1472, 2409, 819, 348, 407, 1665, 265, 321, 318, 786, 390, 17497, 6932, 6029, 10879, 16, 188, 510, 7605, 933, 5566, 1615, 5351, 7617, 348, 596, 4503, 282, 8715, 17534, 16, 19157, 14, 254, 7605, 1042, 417, 2062, 248, 6275, 3608, 282, 5390, 10640, 16, 380, 7617, 15531, 4475, 1460, 6259, 933, 321, 9055, 16, 380, 33770, 2214, 669, 3516, 254, 872, 282, 4947, 7605, 268, 7067, 4850, 16418, 274, 4475, 8715, 6932, 10640, 16, 18234, 276, 254, 1057, 4980, 348, 360, 2507, 20123, 7067, 14, 836, 16418, 4867, 933, 321, 6904, 324, 1033, 2135, 22085, 1525, 272, 6932, 16, 380, 5672, 2214, 555, 7735, 327, 443, 2610, 495, 15, 22, 14, 13570, 20858, 14, 933, 3706, 9055, 1460, 4850, 5390, 1052, 7067, 16, 188, 510, 7605, 933, 1263, 272, 24658, 3609, 2024, 327, 3466, 14108, 1444, 254, 15665, 274, 26863, 87, 1036, 19754, 10363, 16, 380, 3567, 880, 23819, 311, 5577, 5346, 324, 14025, 2417, 387, 254, 6932, 14, 2228, 14, 580, 1408, 2468, 321, 3159, 282, 4503, 836, 8996, 282, 272, 6932, 603, 254, 5833, 555, 417, 8304, 248, 2546, 2660, 282, 2417, 4184, 713, 695, 7617, 286, 695, 26012, 4326, 16, 8498, 72, 14637, 286, 3183, 6079, 933, 321, 9899, 286, 248, 975, 933, 321, 8774, 282, 18714, 2508, 4653, 274, 12866, 286, 3196, 6029, 1921, 15, 484, 16, 380, 2417, 6958, 10637, 15735, 933, 321, 6904, 536, 826, 16911, 29082, 343, 3497, 268, 607, 274, 254, 7605, 457, 85, 14860, 2035, 314, 20, 18, 19, 22, 2192, 8980, 504, 10800, 3609, 286, 5537, 2363, 282, 5256, 11258, 403, 4603, 5320, 282, 7856, 1323, 615, 12451, 286, 19144, 16, 188, 510, 7605, 457, 85, 1615, 3567, 880, 11050, 4021, 27614, 3095, 282, 321, 9055, 282, 2408, 1615, 8112, 286, 743, 7269, 16, 380, 1527, 28071, 4132, 254, 3483, 274, 436, 3526, 327, 933, 321, 2818, 390, 9055, 16, 188, 2943, 14, 830, 14, 286, 843, 310, 3231, 933, 321, 6904, 16, 188, 24544, 9514, 328, 843, 8715, 17534, 933, 321, 10648, 387, 254, 30393, 1245, 16, 188, 510, 9031, 933, 452, 248, 9676, 18195, 12391, 328, 512, 17534, 16, 188, 510, 9031, 933, 1263, 248, 13842, 1402, 6051, 670, 8695, 13047, 390, 14004, 5704, 16, 188, 510, 3196, 1921, 15, 484, 933, 1852, 254, 1479, 286, 1580, 274, 2522, 282, 3533, 1841, 8129, 14444, 16, 188, 510, 8641, 274, 2135, 6932, 47613, 286, 254, 15251, 286, 21331, 274, 836, 47613, 314, 10059, 348, 254, 7605, 457, 85, 1615, 20123, 7067, 481, 188, 510, 13330, 286, 21108, 15251, 407, 254, 20858, 5044, 348, 353, 43875, 282, 254, 4987, 274, 248, 374, 18, 15, 15075, 8657, 327, 311, 31277, 282, 254, 3567, 880, 23819, 16, 188, 510, 2207, 286, 2462, 282, 254, 19454, 310, 3231, 11282, 933, 3606, 282, 28, 13716, 4748, 338, 23, 18, 18, 14, 11814, 328, 8498, 4347, 28280, 1036, 18195, 286, 4626, 8028, 29, 13716, 4748, 338, 23, 24, 19, 14, 11814, 328, 27095, 9241, 3567, 880, 11050, 4021, 29, 286, 254, 3206, 3567, 880, 11050, 4021, 16, 188, 47901, 512, 7605, 6079, 4850, 18195, 12391, 12451, 286, 19144, 16, 2514, 4475, 5164, 274, 254, 18195, 12391, 1142, 311, 247, 327, 436, 6932, 1142, 311, 417, 4686, 18813, 16, 380, 8075, 274, 436, 310, 3231, 1142, 311, 4440, 6029, 5098, 16, 826, 16911, 29082, 343, 45746, 495, 45, 274, 254, 7605, 457, 85, 14860, 2035, 314, 20, 18, 19, 22, 2192, 24555, 254, 2472, 286, 1142, 274, 254, 18195, 35801, 16, 188, 47901, 512, 8715, 11258, 276, 3532, 4987, 16, 16325, 4987, 555, 29953, 4251, 274, 254, 1364, 763, 7797, 16, 731, 311, 28984, 327, 436, 5833, 9196, 4475, 8129, 31047, 286, 7664, 274, 13182, 16, 380, 3520, 11776, 939, 436, 7605, 3609, 933, 321, 10923, 713, 512, 6029, 1921, 15, 8549, 1635, 407, 254, 801, 20324, 5741, 16, 826, 16911, 29082, 343, 3497, 268, 607, 274, 254, 7605, 457, 85, 14860, 2035, 314, 20, 18, 19, 22, 2192, 8980, 504, 10800, 3609, 286, 5537, 2363, 282, 5256, 11258, 403, 4603, 5320, 282, 7856, 1323, 615, 12451, 286, 19144, 16, 188 ]

[ 1, 1358, 37269, 4519, 1358, 37269, 5434, 65, 4519, 5868, 1952, 374, 23, 23, 11, 15088, 324, 5224, 276, 1827, 16, 4100, 26051, 65, 6585, 3761, 5773, 63, 926, 2312, 926, 5580, 65, 3039, 426, 427, 3060, 9571, 10098, 4365, 10, 47953, 31474, 46017, 2719, 926, 5580, 65, 15908, 426, 12578, 16508, 10, 46017, 65, 3039, 16, 1554, 14, 935, 13706, 31, 1984, 65, 7679, 14, 28384, 935, 15232, 31, 1984, 65, 10424, 14, 28384, 935, 44489, 31, 1984, 65, 30166, 14, 17398, 55, 15671, 26, 31, 4937, 11, 926, 5580, 65, 1510, 85, 61, 4530, 4862, 1554, 5868, 63, 426, 550, 1003, 684, 46017, 65, 3039, 5141, 5580, 65, 3039, 14, 684, 46017, 65, 15908, 5141, 5580, 65, 15908, 95, 2621, 3485, 426, 338, 647, 14057, 426, 11836, 647, 6453, 65, 1554, 426, 1827, 16, 9696, 3815, 16, 1554, 647, 324, 278, 276, 931, 28, 926, 1800, 29284, 279, 18556, 2511, 4314, 926, 7221, 65, 14620, 426, 10603, 65, 927, 65, 5154, 957, 65, 14620, 10, 70, 14, 3485, 14, 14057, 14, 44638, 6453, 65, 1554, 11, 926, 3340, 426, 43073, 11712, 16, 28339, 65, 79, 18556, 65, 34682, 65, 4530, 65, 7679, 10, 1003, 7221, 65, 14620, 11, 926, 1800, 15706, 11114, 4759, 314, 4519, 14, 2796, 65, 4519, 14, 2796, 65, 2343, 11, 926, 1800, 3340, 555, 9882, 324, 1033, 2511, 926, 603, 6453, 65, 1554, 417, 276, 3340, 28, 1003, 3340, 61, 9696, 3815, 65, 1554, 63, 426, 11836, 926, 3340, 61, 9696, 3815, 65, 1554, 6895, 33279, 63, 426, 3485, 926, 3340, 61, 9696, 3815, 65, 1554, 6895, 10562, 3376, 65, 33279, 63, 426, 428, 19, 926, 324, 2511, 276, 1827, 16, 20806, 28, 1003, 1800, 751, 931, 324, 436, 2511, 286, 3510, 282, 41450, 1003, 2511, 65, 1554, 426, 2511, 4862, 1554, 5868, 1003, 5580, 65, 1510, 426, 5580, 65, 1510, 85, 61, 4530, 65, 1554, 63, 1003, 4759, 426, 543, 2498, 3179, 4862, 90, 3839, 5868, 324, 3179, 276, 2498, 2511, 4862, 27436, 5868, 63, 558, 1827, 16, 4100, 26051, 65, 6585, 3761, 5773, 1003, 5580, 65, 15908, 426, 5580, 65, 1510, 4862, 46017, 65, 15908, 5868, 1003, 4059, 426, 3340, 16, 784, 10, 4530, 65, 1554, 14, 8037, 11, 1003, 603, 1479, 10, 734, 11, 2224, 10603, 28, 2498, 3510, 65, 734, 10, 3986, 1827, 16, 3343, 65, 7209, 65, 734, 10, 734, 14, 2511, 581, 3986, 5580, 65, 15908, 14, 4759, 11, 1003, 27985, 1479, 10, 734, 11, 2224, 1581, 28, 2498, 324, 1401, 65, 734, 276, 4059, 28, 3986, 3510, 65, 734, 10, 6421, 1827, 16, 3343, 65, 7209, 65, 734, 10, 6816, 65, 734, 14, 2511, 581, 6421, 5580, 65, 15908, 14, 4759, 11, 926, 3485, 6892, 338, 2621, 324, 2511, 65, 1554, 14, 5580, 65, 1510, 276, 5580, 65, 1510, 85, 16, 2480, 15135, 14439, 926, 5580, 65, 1510, 4862, 46017, 65, 15908, 35296, 10212, 47344, 4365, 10, 1003, 5580, 65, 1510, 4862, 46017, 65, 15908, 35296, 29468, 14, 4298, 5313, 33068, 3291, 2621, 1800, 3510, 22636, 3039, 647, 343, 46746, 4365, 10, 3839, 14, 684, 89, 3291, 348, 22636, 65, 3039, 28, 926, 324, 2511, 65, 1554, 14, 5580, 65, 1510, 276, 5580, 65, 1510, 85, 16, 2480, 15135, 14439, 1003, 5580, 65, 3039, 426, 5580, 65, 1510, 4862, 46017, 65, 3039, 5868, 1003, 5580, 65, 3039, 16, 31015, 10, 18, 11, 1003, 22636, 65, 3039, 16, 6171, 10, 2498, 5580, 65, 3039, 16, 1554, 14, 18736, 3333, 13575, 10, 4530, 65, 1554, 16, 8909, 27258, 14307, 558, 22044, 46017, 2719, 2621, 1800, 2722, 4227, 670, 360, 403, 2152, 647, 324, 2511, 65, 1554, 14, 5580, 65, 1510, 276, 5580, 65, 1510, 85, 16, 2480, 15135, 14439, 926, 5580, 65, 1510, 4862, 46017, 65, 3039, 35296, 10212, 1067, 534, 188, 1510, 10603, 65, 927, 65, 22121, 65, 14620, 10, 70, 14, 2796, 65, 4519, 31, 18, 2192, 477, 1477, 534, 188, 1510, 6458, 65, 14620, 10, 14620, 65, 875, 14, 6697, 14, 21749, 14, 2570, 65, 2617, 14, 2498, 13107, 65, 302, 31, 11033, 14, 5641, 65, 7075, 31, 11033, 14, 1361, 65, 21039, 2480, 5313, 17, 1358, 2498, 7871, 65, 6946, 65, 9697, 7343, 31, 4937, 14, 2498, 8751, 65, 6946, 65, 9697, 7343, 31, 5489, 2192, 477, 11916, 477, 12761, 4426, 13107, 1740, 1635, 254, 13107, 1479, 477, 11916, 477, 13107, 65, 875, 65, 4846, 65, 4113, 426, 550, 647, 43073, 16, 58, 7651, 65, 29145, 28, 684, 927, 65, 90, 5047, 65, 14620, 1358, 647, 43073, 16, 5013, 56, 65, 29145, 28, 684, 927, 65, 22121, 65, 24438, 65, 14620, 1358, 647, 43073, 16, 5013, 56, 65, 60, 3023, 65, 29145, 28, 684, 927, 65, 92, 6218, 65, 24438, 1358, 647, 43073, 16, 4433, 56, 65, 60, 3023, 65, 29145, 28, 684, 927, 65, 92, 6218, 65, 46017, 1358, 647, 43073, 16, 35, 21031, 6156, 937, 65, 29145, 28, 684, 927, 65, 14569, 654, 255, 65, 14620, 9, 477, 744, 1465, 1246, 629, 426, 1558, 5078, 16, 25099, 16, 784, 10, 647, 2525, 870, 19150, 870, 466, 90, 514, 31, 19150, 14, 2570, 65, 2617, 870, 40938, 31, 302, 65, 2617, 11, 1465, 1800, 7123, 279, 18556, 324, 254, 19879, 477, 5694, 426, 7123, 65, 79, 18556, 10, 19150, 14, 2570, 65, 2617, 14, 5641, 65, 7075, 11, 1465, 13107, 65, 26213, 426, 43073, 11712, 1067, 477, 13107, 65, 26213, 16, 29149, 65, 30355, 2805, 24586, 426, 1361, 65, 21039, 2480, 477, 13107, 65, 26213, 16, 53, 3733, 1405, 65, 12639, 65, 36847, 3023, 22955, 426, 7871, 65, 6946, 65, 9697, 7343, 477, 13107, 65, 26213, 16, 35032, 10870, 65, 12639, 65, 36847, 3023, 22955, 426, 8751, 65, 6946, 65, 9697, 7343, 477, 13107, 65, 26213, 16, 1160, 65, 9696, 3815, 10, 90, 629, 16, 2137, 65, 44848, 4872, 9696, 3815, 11, 1465, 17241, 426, 42281, 1392, 2012, 93, 1942, 14620, 65, 577, 1942, 577, 95, 5813, 7910, 10, 14620, 65, 875, 14, 21749, 14, 2570, 65, 2617, 1210, 477, 14310, 65, 3039, 426, 427, 3060, 9571, 10098, 4365, 10, 15018, 31, 15018, 14, 32823, 31, 1551, 449, 558, 6697, 1210, 1465, 1800, 751, 254, 13107, 1142, 407, 13107, 1479, 477, 11317, 426, 751, 9321, 10, 14620, 65 ]

[ 1, 324, 7096, 16, 4906, 15597, 1223, 14763, 15214, 29, 29129, 4539, 20363, 14, 34912, 1223, 309, 793, 7649, 34581, 3288, 496, 954, 188, 1212, 403, 580, 274, 254, 6081, 27294, 274, 900, 36020, 3288, 286, 900, 36200, 6326, 16, 8939, 772, 3783, 18980, 274, 900, 36020, 3288, 16, 3239, 8939, 2916, 29822, 286, 8118, 16, 5568, 1860, 3172, 1548, 16, 34581, 379, 14, 331, 530, 14, 45996, 14, 9851, 14, 347, 69, 22780, 12776, 985, 719, 4, 5959, 6074, 14, 15289, 10771, 28, 323, 20, 22, 21, 25, 27, 26, 16, 188, 13816, 317, 379, 31337, 1701, 366, 38515, 1676, 42560, 18839, 343, 512, 743, 39278, 286, 743, 18839, 18616, 398, 14, 328, 15811, 47454, 18597, 343, 576, 26, 758, 36020, 379, 38238, 16, 14759, 2059, 407, 314, 20, 11, 374, 18, 18, 289, 82, 5529, 743, 5080, 11982, 2818, 16, 188, 5677, 89, 5939, 36020, 3288, 7753, 5939, 36020, 379, 3762, 300, 13685, 2248, 359, 6479, 267, 78, 439, 605, 16458, 5939, 36020, 3288, 7753, 341, 313, 1219, 313, 17384, 34274, 271, 48187, 5939, 36020, 3288, 7753, 31395, 8577, 36200, 6326, 311, 4024, 282, 44855, 1572, 8409, 28870, 34581, 3288, 378, 48187, 331, 530, 34581, 379, 5423, 6605, 36316, 4039, 3891, 36020, 379, 4906, 624, 4906, 2916, 8464, 16, 188, 20244, 36020, 379, 5574, 7753, 16, 45621, 286, 3083, 432, 9529, 274, 35871, 1903, 3762, 14, 7753, 286, 11086, 16, 595, 34000, 274, 3762, 2790, 5157, 16, 188, 13816, 317, 379, 7315, 14, 76, 1377, 36020, 379, 7315, 14, 46347, 36020, 379, 7315, 14, 35776, 7925, 826, 2586, 452, 1125, 7753, 668, 36020, 3288, 14, 1507, 1610, 14, 76, 1377, 36020, 379, 7315, 14, 46347, 36020, 379, 7315, 14, 35776, 36020, 379, 7315, 14, 17480, 7315, 14, 1376, 9206, 5339, 7315, 14, 2820, 5339, 7315, 286, 593, 328, 16, 188, 6821, 5640, 4184, 3134, 432, 17454, 24397, 3170, 14, 18580, 5098, 14, 11051, 4665, 286, 20534, 248, 624, 17856, 4360, 324, 633, 2072, 16, 2640, 772, 1173, 109, 28516, 28217, 327, 13033, 4163, 286, 3134, 282, 9260, 6555, 14, 368, 476, 13243, 8494, 633, 10164, 286, 2330, 633, 6324, 4665, 16, 188, 21291, 35578, 4539, 22470, 29129, 34581, 379, 38515, 16, 1015, 3395, 274, 9822, 36020, 3288, 1027, 42349, 706, 3172, 275, 609, 20670, 954, 473, 251, 8577, 34581, 379, 1146, 3566, 1524, 14759, 491, 6326, 1146, 7925, 9720, 254, 9887, 286, 254, 9611, 1015, 3395, 274, 9822, 4588, 333, 14065, 324, 633, 9822, 10602, 4304, 3, 27598, 17271, 4906, 15597, 16, 188, 5897, 3209, 7216, 5172, 10803, 273, 6326, 3672, 3240, 281, 1468, 87, 546, 12431, 14, 37920, 5172, 7160, 4934, 14, 47990, 14, 14430, 6073, 14, 278, 433, 2431, 14, 27958, 5172, 7160, 4892, 900, 14650, 6326, 324, 7096, 16, 0, 46774, 625, 38934, 282, 3510, 5314, 683, 1602, 248, 21663, 282, 2941, 2803, 16, 188, 2515, 353, 19380, 479, 282, 915, 748, 310, 12462, 348, 347, 20362, 264, 2978, 14, 7929, 466, 1157, 4, 188, 42, 7933, 14, 274, 512, 4902, 16, 35580, 282, 915, 327, 310, 369, 3320, 16, 188, 927, 15813, 248, 21663, 14, 748, 6938, 650, 3223, 368, 687, 328, 436, 2443, 33, 0, 7701, 3505, 16582, 25044, 276, 254, 657, 3473, 2081, 2829, 1912, 20418, 543, 84, 3777, 273, 286, 13350, 22686, 63, 286, 4032, 706, 3556, 16, 27114, 311, 254, 1964, 38118, 14, 533, 26591, 944, 274, 254, 11089, 2974, 286, 8302, 248, 5708, 16853, 2497, 8548, 1525, 254, 9812, 274, 657, 3473, 2081, 16, 27114, 311, 254, 6287, 24130, 282, 657, 3473, 2081, 434, 4903, 7675, 286, 5961, 1125, 8856, 16, 657, 3473, 2081, 14364, 4565, 819, 10827, 4806, 348, 22055, 3462, 14, 17336, 14, 18717, 14, 12010, 14, 476, 6654, 14, 259, 1781, 14, 14390, 14, 33381, 14, 16745, 14, 289, 13790, 286, 391, 6506, 16, 188, 1853, 254, 3748, 311, 276, 254, 2710, 274, 248, 1062, 18747, 16853, 4351, 14, 626, 311, 417, 756, 1247, 2365, 282, 2023, 7223, 3134, 282, 2104, 14364, 14, 532, 669, 282, 2411, 3103, 276, 2653, 15, 21023, 16, 11674, 1186, 555, 2411, 248, 1887, 628, 274, 657, 3473, 2081, 434, 6795, 343, 254, 9693, 274, 28007, 27362, 33601, 27965, 47870, 16, 496, 1596, 14, 657, 3473, 2081, 43645, 9423, 47378, 432, 512, 687, 343, 254, 11600, 274, 15678, 286, 14714, 276, 254, 8476, 2104, 16, 5066, 1525, 254, 9812, 274, 657, 3473, 2081, 14, 248, 1500, 1245, 274, 8189, 311, 16298, 276, 2142, 3134, 286, 5294, 16582, 16, 0, 6690, 4202, 403, 2448, 276, 254, 3802, 7234, 380, 2456, 274, 4500, 6958, 6944, 274, 1034, 15, 3818, 17109, 5598, 328, 31165, 286, 3753, 276, 331, 23, 25, 17, 5458, 24, 3630, 14, 3970, 3737, 276, 254, 6521, 3978, 10261, 706, 28433, 314, 8848, 10261, 706, 28433, 338, 27, 22, 314, 20, 18, 19, 26, 11, 374, 19, 26, 15, 20, 21, 20, 481, 826, 785, 369, 5043, 407, 22009, 323, 16, 6448, 1930, 14, 18751, 2200, 418, 16, 367, 10898, 14175, 14, 16625, 444, 16, 12694, 14, 18875, 310, 16, 2253, 305, 34083, 14, 33870, 354, 16, 40287, 14, 12356, 1711, 444, 16, 610, 7748, 47177, 14, 4966, 330, 16, 25874, 9062, 14, 9731, 7820, 4823, 39373, 1743, 14, 4238, 21073, 6105, 375, 14, 24249, 1442, 500, 16, 12694, 14, 7060, 444, 16, 9782, 427, 493, 17059, 14, 286, 2436, 610, 16, 16962, 432, 657, 2344, 11667, 2421, 16, 188, 17965, 75, 10747, 5598, 311, 2258, 343, 7223, 1738, 5215, 14, 1648, 3652, 2417, 274, 254, 1499, 457, 85, 3720, 15281, 6404, 819, 348, 2710, 2642, 14, 9715, 14, 7864, 3595, 8180, 14, 22567, 457, 85, 2642, 14, 286, 2832, 16, 39050, 555, 669, 643, 1953, 282, 3054, 11980, 14, 32393, 3941, 286, 5749, 274, 10127, 286, 9204, 14, 286, 3054, 9444, 1142, 1205, 10766, 254, 2417, 274, 21106, 276, 1938, 1464, 16, 188, 45696, 3351, 348, 282, 843, 31452, 2688, 5598, 314, 21305, 11, 286, 843, 388, 10178, 360, 452, 282, 16577, 314, 36725, 11, 276, 1316, 282, 4962, 254, 4718, 5215, 16, 19236, 774, 321, 5940, 276, 8728, 254, 5758, 3324, 2347, 282, 915, 665, 3563, 274, 13893, 11384, 276, 1738, 6786, 16, 188, 10072, 785, 15250, 254, 2456, 274, 5598, 276, 3630 ]

[ 1, 4417, 10420, 14, 2207, 254, 6593, 5062, 1863, 20891, 390, 28962, 6457, 286, 889, 327, 1056, 282, 2063, 436, 1631, 16, 1375, 8274, 813, 5928, 1286, 254, 1470, 15, 264, 2850, 20140, 289, 9939, 1056, 311, 2152, 532, 254, 4445, 1294, 311, 417, 4618, 14, 889, 2063, 890, 27, 25, 16, 1375, 8274, 848, 5928, 1180, 7323, 2153, 327, 403, 3994, 2634, 282, 390, 2850, 20140, 390, 272, 390, 2850, 20140, 311, 417, 2600, 14, 2063, 254, 3196, 289, 9939, 5035, 1294, 276, 436, 1631, 286, 417, 276, 1375, 26395, 15, 34372, 15647, 848, 14, 5564, 15, 3852, 2850, 20140, 8573, 771, 264, 16657, 443, 252, 325, 40278, 250, 314, 74, 9939, 11, 9851, 11422, 12186, 0, 10415, 25054, 311, 248, 309, 13463, 1839, 327, 587, 1545, 368, 282, 1767, 254, 3835, 7094, 274, 633, 3427, 6987, 16, 1822, 368, 452, 282, 513, 311, 3227, 254, 8047, 4680, 633, 5414, 835, 889, 353, 670, 3899, 633, 16947, 282, 915, 843, 353, 587, 1862, 729, 248, 743, 4659, 16, 188, 47500, 15, 21947, 15786, 6443, 311, 248, 4817, 1160, 327, 434, 643, 23663, 3591, 282, 1336, 368, 11779, 286, 7085, 41208, 15, 21947, 931, 16, 380, 3571, 3672, 254, 323, 1282, 15, 13056, 4817, 14, 443, 3164, 15, 5125, 29440, 4817, 286, 26121, 15, 22283, 4817, 16, 188, 14672, 28282, 988, 5026, 369, 3591, 348, 272, 7292, 11934, 2868, 274, 19896, 3357, 324, 25677, 28282, 16, 510, 3357, 22328, 818, 25677, 28282, 954, 79, 4227, 14, 8371, 30998, 286, 954, 188, 47900, 5804, 3912, 15397, 311, 254, 7250, 4832, 1110, 324, 1683, 4076, 663, 961, 282, 4400, 12566, 615, 1193, 7753, 16, 731, 434, 417, 9290, 390, 1837, 15, 6137, 790, 286, 1062, 3364, 3, 47900, 5804, 3912, 15397, 587, 1545, 368, 282, 1493, 665, 7315, 286, 12566, 353, 348, 368, 8106, 16, 188, 13827, 9409, 2790, 1305, 324, 3899, 2752, 24230, 38544, 324, 6987, 343, 3603, 274, 7268, 35750, 286, 7258, 374, 18, 18, 25, 16, 11721, 5564, 1349, 47290, 1545, 980, 2525, 282, 1806, 6987, 1269, 5742, 729, 276, 615, 7716, 2809, 16, 188, 37, 11005, 1275, 9745, 17200, 43771, 38738, 281, 311, 248, 309, 13463, 1839, 327, 369, 4024, 276, 1316, 282, 1336, 368, 1767, 254, 3835, 7094, 274, 633, 9132, 16, 188, 510, 12208, 15363, 3999, 14769, 324, 27976, 5663, 2189, 369, 3446, 282, 1336, 368, 1369, 286, 785, 343, 21379, 3999, 4227, 276, 27976, 5663, 2189, 16, 21379, 3999, 30672, 476, 321, 11263, 1525, 254, 2896, 3514, 16, 21379, 3999, 3106, 476, 321, 20485, 432, 4227, 286, 38919, 16, 188, 9295, 3190, 521, 91, 369, 3591, 348, 272, 12140, 286, 23983, 22350, 42164, 4131, 343, 254, 1336, 274, 254, 13440, 10435, 3335, 16, 188, 21, 4825, 22186, 311, 248, 4589, 15, 32098, 2809, 327, 476, 321, 900, 324, 248, 4474, 2413, 274, 495, 38, 17645, 8663, 14, 348, 963, 348, 331, 9182, 9703, 9603, 390, 28686, 2426, 971, 16, 188, 47, 1282, 1630, 8073, 14416, 311, 272, 7077, 3571, 4024, 282, 1336, 11264, 282, 11779, 254, 4658, 1580, 274, 2110, 1338, 16, 380, 2024, 25766, 763, 3762, 274, 254, 1057, 2069, 2104, 286, 33198, 254, 2462, 276, 425, 6410, 16, 188, 17683, 255, 21947, 311, 248, 23983, 7725, 327, 4343, 4076, 282, 2706, 8988, 15, 9096, 17176, 328, 45266, 38171, 16, 46463, 21947, 311, 272, 1493, 2520, 7725, 327, 369, 4131, 282, 2150, 17176, 327, 476, 321, 900, 282, 17306, 5630, 29678, 3284, 1102, 276, 5606, 15, 21947, 931, 16, 188, 6471, 3243, 357, 1723, 311, 248, 4081, 4817, 324, 254, 12613, 5904, 4076, 327, 872, 282, 4757, 254, 12605, 1460, 432, 26532, 931, 4227, 16, 188, 40, 11699, 264, 6017, 324, 7268, 848, 311, 248, 2525, 15, 19199, 14, 2486, 4589, 15, 32098, 2809, 327, 476, 1336, 368, 4056, 1392, 633, 7753, 286, 818, 729, 1247, 2456, 16, 188, 6847, 3077, 77, 23132, 40441, 31093, 40156, 5961, 248, 867, 274, 1339, 15, 9541, 495, 38, 5493, 282, 1336, 1575, 248, 4829, 15286, 16, 188, 27035, 11712, 311, 248, 23983, 286, 9377, 2811, 4024, 282, 2706, 19263, 4400, 407, 811, 5123, 248, 7419, 1474, 286, 3340, 15, 21369, 16, 1731, 12509, 403, 4131, 960, 254, 4021, 16, 14466, 16, 27576, 16, 3129, 25032, 1296, 16, 188, 510, 399, 17191, 29056, 10514, 369, 23663, 3591, 348, 272, 12140, 286, 23983, 7123, 3821, 324, 4419, 7485, 869, 5135, 274, 1015, 3307, 16, 188, 15269, 4926, 36, 311, 248, 2196, 2809, 327, 476, 1336, 368, 2150, 41744, 3106, 327, 476, 321, 900, 324, 1956, 14, 3893, 390, 32141, 3940, 4898, 15979, 16, 188, 37112, 6014, 11058, 43771, 38738, 281, 311, 248, 309, 13463, 1839, 327, 369, 4024, 276, 1316, 282, 1336, 368, 1767, 254, 3835, 7094, 274, 633, 9132, 16, 188, 19470, 35056, 37001, 11382, 369, 4024, 348, 272, 12140, 286, 4081, 4817, 327, 6806, 348, 248, 7135, 1065, 960, 272, 1732, 41993, 2416, 19302, 324, 42782, 8447, 4535, 16, 188, 510, 401, 1297, 91, 27523, 15, 35, 45941, 3571, 10238, 45941, 274, 4105, 432, 8114, 4995, 314, 3137, 294, 581, 5372, 14, 7854, 14, 15819, 286, 665, 642, 8114, 2080, 16, 380, 3571, 311, 8304, 276, 254, 16769, 45976, 16, 188, 38, 21, 27060, 1186, 311, 248, 309, 13463, 1839, 327, 587, 1545, 368, 282, 1767, 254, 3835, 7094, 274, 633, 3427, 6987, 16, 1822, 368, 452, 282, 513, 311, 3227, 254, 8047, 4680, 633, 5414, 835, 889, 353, 670, 3899, 633, 16947, 282, 915, 843, 353, 587, 1862, 729, 248, 743, 4659, 16, 188, 38, 21, 23736, 252, 1186, 38738, 281, 311, 248, 492, 18708, 1650, 8047, 327, 587, 1545, 368, 282, 1862, 248, 5194, 743, 997, 282, 512, 274, 633, 3427, 6987, 16, 1822, 368, 452, 282, 513, 311, 3227, 254, 8047, 4680, 633, 5414, 286, 889, 353, 324, 3899, 633, 16947, 282, 915, 843, 353, 587, 1767, 615, 7094, 16, 188, 38, 1758, 16286, 311, 248, 492, 18708, 1650, 8047, 327, 587, 1545, 368, 282, 1767, 254, 3835, 7094, 274, 633, 3427, 6987, 16, 1822, 368, 452, 282, 513, 311, 3227, 254, 8047, 4680, 633, 5414, 835, 889, 353, 670, 3899, 633, 16947, 282, 915, 843, 353, 587, 1862, 729, 248, 743, 4659, 16, 188, 27967, 14699, 9851 ]

[ 1, 4059, 61, 24, 63, 647, 4236, 426, 4059, 61, 25, 63, 647, 300, 1747, 65, 3107, 426, 4059, 61, 26, 63, 2621, 603, 14329, 2224, 4739, 390, 4059, 61, 23, 63, 2224, 347, 7628, 11267, 7350, 1356, 926, 3906, 1800, 46843, 10207, 4059, 286, 9908, 1269, 14329, 2621, 603, 14329, 3493, 4466, 4862, 30872, 9, 5064, 926, 3906, 1800, 46843, 24970, 14329, 2621, 603, 295, 16, 8757, 10, 84, 9, 96, 56, 1029, 1358, 6951, 2192, 926, 603, 4466, 4862, 2855, 65, 88, 23077, 5868, 2224, 16247, 28, 1003, 3906, 1800, 46843, 29840, 3963, 603, 593, 6617, 2621, 603, 295, 16, 8757, 10, 84, 9, 24, 25, 23, 15, 1358, 269, 65, 8896, 2192, 926, 3906, 1800, 46843, 6031, 50, 2339, 5525, 4748, 2932, 2856, 24054, 8647, 2621, 1800, 16574, 16048, 647, 4305, 65, 4259, 426, 4059, 61, 19, 18, 63, 390, 14661, 2621, 5574, 65, 18655, 426, 7456, 1925, 10, 18, 16, 18, 11, 647, 6259, 65, 18655, 426, 7456, 1925, 10, 18, 16, 18, 11, 2621, 603, 20288, 65, 7665, 16, 5318, 2076, 335, 1551, 47268, 4, 2192, 926, 6259, 65, 18655, 426, 7456, 1925, 10, 18655, 11, 2621, 603, 20288, 65, 7665, 16, 5318, 2076, 335, 1551, 34156, 273, 4, 2192, 926, 5574, 65, 18655, 426, 7456, 1925, 10, 18655, 11, 2621, 628, 426, 550, 926, 684, 3107, 5141, 269, 65, 8896, 14, 926, 684, 5401, 5141, 269, 65, 5401, 14, 926, 684, 1747, 71, 65, 3107, 5141, 300, 1747, 65, 3107, 14, 926, 684, 30872, 5141, 14329, 14, 926, 684, 13878, 5141, 6951, 14, 926, 684, 12710, 454, 65, 40941, 5141, 5035, 65, 40941, 14, 926, 684, 17260, 65, 18655, 5141, 5574, 65, 18655, 14, 926, 684, 34418, 65, 18655, 5141, 6259, 65, 18655, 14, 926, 684, 1945, 65, 875, 5141, 269, 65, 875, 390, 347, 38299, 985, 926, 684, 15222, 65, 3107, 5141, 4305, 65, 4259, 14, 926, 684, 262, 65, 24982, 1013, 5141, 314, 734, 61, 19, 19, 63, 2224, 347, 59, 2719, 647, 744, 2621, 4105, 16, 9436, 10, 1945, 11, 1465, 1076, 4105, 534, 188, 2360, 15318, 10, 8702, 11767, 2192, 1465, 1336, 426, 347, 3243, 3991, 3316, 27616, 58, 4105, 5287, 4, 1465, 804, 818, 65, 30011, 10, 1262, 14, 21435, 2192, 647, 21435, 16, 1855, 65, 23297, 2012, 5310, 3839, 1358, 1479, 31, 1320, 11, 647, 21435, 16, 1855, 65, 23297, 2012, 30872, 1358, 1479, 31, 1320, 11, 2621, 21435, 16, 1855, 65, 23297, 10, 926, 684, 284, 10889, 65, 82, 5236, 1358, 926, 2181, 5313, 11548, 65, 5508, 1358, 926, 1336, 5313, 10946, 628, 7702, 276, 18980, 1358, 647, 2312, 2621, 21435, 16, 1855, 65, 23297, 10, 926, 684, 284, 2855, 65, 88, 23077, 1358, 926, 2181, 5313, 11548, 65, 5508, 1358, 926, 1336, 5313, 18652, 29840, 4105, 1358, 647, 2312, 1465, 804, 5846, 10, 1262, 14, 475, 8626, 14, 1375, 9854, 2192, 2621, 343, 1493, 10, 9854, 4862, 5310, 3839, 15993, 743, 1259, 5313, 3291, 348, 4105, 5310, 28, 926, 9166, 426, 41450, 16, 27051, 10, 30238, 5310, 14, 36899, 2480, 31, 1358, 1358, 14036, 3495, 5313, 4, 3291, 926, 4105, 426, 1213, 65, 30238, 10, 27051, 14, 1375, 9854, 11, 926, 40113, 65, 40827, 16, 258, 14092, 10, 2855, 65, 30238, 14, 4105, 14, 1375, 9854, 11, 2621, 7481, 16, 329, 4352, 10, 9854, 4862, 5310, 3839, 22673, 188, 0, 5, 21081, 758, 272, 20082, 1493, 2520, 7771, 428, 915, 21167, 188, 188, 3933, 27303, 1369, 475, 188, 2855, 35553, 348, 15313, 188, 2855, 658, 531, 91, 16, 2046, 5530, 348, 38943, 188, 2855, 658, 531, 91, 16, 31397, 899, 348, 1104, 188, 3933, 658, 531, 91, 16, 13520, 366, 1369, 9592, 188, 3933, 658, 531, 91, 16, 21837, 1369, 4717, 256, 24424, 586, 14, 35014, 1153, 18349, 534, 188, 1510, 930, 65, 16242, 10, 1911, 262, 1153, 301, 14, 1175, 15985, 65, 455, 2192, 477, 40369, 1465, 1676, 17380, 1083, 254, 21588, 8192, 47040, 432, 2379, 1735, 286, 3809, 254, 477, 28792, 43776, 33431, 274, 1004, 16, 3805, 1004, 25640, 311, 276, 272, 477, 3656, 2840, 407, 695, 1193, 1921, 14, 254, 40038, 872, 282, 321, 2584, 713, 2320, 477, 670, 6069, 888, 713, 254, 6131, 3656, 16, 1465, 30875, 477, 15765, 477, 5050, 262, 1153, 301, 1146, 1581, 647, 3162, 1514, 15965, 274, 254, 21588, 1999, 8192, 47040, 477, 1175, 15985, 65, 455, 1146, 35553, 16, 2046, 3604, 647, 10436, 3656, 343, 512, 2379, 8192, 47040, 16, 1465, 16094, 477, 13640, 477, 930, 65, 16242, 65, 455, 1146, 35553, 16, 2046, 3604, 647, 330, 28792, 43776, 33431, 274, 512, 274, 254, 8192, 47040, 5514, 16, 477, 930, 65, 16242, 65, 31827, 1146, 1581, 647, 3162, 1514, 254, 28792, 43776, 33431, 274, 1004, 647, 1999, 28518, 16, 477, 40369, 1465, 930, 65, 16242, 65, 31827, 426, 7954, 1465, 324, 1591, 294, 65, 3192, 276, 5050, 262, 1153, 301, 28, 647, 603, 15313, 16, 3958, 10, 3212, 294, 65, 3192, 11, 2170, 338, 28, 926, 1591, 294, 65, 3192, 61, 18116, 16, 2723, 10, 3212, 294, 65, 3192, 2170, 338, 8866, 426, 338, 647, 930, 65, 16242, 65, 31827, 16, 9436, 10, 926, 38943, 16, 19316, 65, 16242, 65, 265, 86, 10, 18116, 16, 2720, 474, 65, 1410, 10, 3212, 294, 65, 3192, 10409, 1465, 1800, 43776, 33431, 274, 512, 21588, 30237, 477, 930, 65, 16242, 65, 455, 426, 38943, 16, 19316, 65, 16242, 65, 265, 86, 10, 647, 15313, 16, 2720, 474, 65, 1410, 10, 4922, 15985, 65, 455, 1210, 1465, 1076, 930, 65, 16242, 65, 455, 14, 930, 65, 16242, 65, 31827, 534, 188, 1510, 10500, 65, 7443, 10, 19316, 14, 1927, 65, 14327, 14, 23008, 65, 32093, 2192, 477, 40369, 1465, 401, 943, 254, 14201, 6051, 274, 25640, 282, 248, 23229, 1530, 477, 314, 2798, 1732, 92, 277, 1318, 753, 1145, 356, 16, 314, 20, 18, 19, 19, 4878, 1465, 30875, 477, 15765, 477, 4047, 1146, 1581, 647, 3535, 1915, 432, 254, 28518, 16, 477, 1927, 65, 14327, 1146, 1581, 647, 4318, 2655, 2127, 432, 254, 2382, 16, 477, 23008, 65, 32093, 1146, 8035, 647, 401, 43334, 274, 254, 8104, 1921, 16, 1465, 16094, 477, 13640, 477, 4793, 1146, 35553, 16, 2046, 3604, 647, 39055, 2127, 16 ]

[ 1, 671, 670, 22137, 11761, 403, 328, 248, 12446, 15, 12700, 1756, 345, 2790, 16, 188, 18636, 404, 457, 85, 2196, 8189, 3017, 555, 643, 248, 2675, 274, 254, 6795, 276, 3225, 1090, 286, 555, 4671, 282, 5481, 276, 254, 338, 26, 2524, 1544, 254, 22137, 6101, 16, 188, 35, 2442, 274, 254, 7997, 25589, 14, 254, 23439, 7917, 327, 19942, 650, 5884, 407, 624, 683, 607, 18, 18, 14, 18, 18, 18, 276, 254, 1689, 763, 1090, 14, 532, 254, 6151, 8219, 432, 254, 7258, 324, 3206, 22632, 2607, 248, 2871, 274, 338, 26, 20, 14, 18, 18, 18, 869, 254, 4029, 282, 4087, 2114, 274, 374, 18, 19, 24, 286, 254, 1057, 1241, 2524, 276, 374, 18, 19, 25, 16, 34170, 369, 597, 407, 374, 25, 27, 14, 18, 18, 18, 687, 254, 1057, 2114, 1205, 254, 2545, 1391, 2210, 555, 13179, 282, 576, 16, 21, 5140, 695, 8612, 1544, 338, 27, 25, 23, 16, 188, 510, 6151, 473, 4732, 931, 2449, 688, 7664, 327, 254, 7180, 24203, 555, 7389, 2059, 561, 1527, 254, 3355, 3374, 276, 3017, 276, 254, 801, 2630, 274, 374, 18, 19, 25, 16, 380, 1162, 274, 942, 276, 785, 687, 254, 1241, 2524, 282, 4257, 6323, 407, 338, 22, 14, 18, 18, 18, 1091, 254, 801, 10073, 1544, 4028, 374, 18, 19, 21, 16, 496, 695, 6151, 16455, 14, 254, 3781, 7258, 324, 30559, 25358, 2250, 749, 353, 3159, 254, 19942, 2210, 282, 4873, 597, 282, 576, 16, 22, 7, 276, 374, 18, 19, 27, 286, 282, 576, 16, 24, 7, 276, 374, 18, 20, 18, 16, 188, 35, 4868, 274, 1468, 17536, 759, 3017, 286, 10718, 8189, 555, 8326, 4924, 17539, 14, 532, 254, 944, 3225, 8219, 432, 254, 473, 4732, 1102, 327, 3340, 590, 4813, 4168, 9211, 407, 470, 16, 27, 7, 869, 254, 1250, 286, 2543, 19325, 274, 374, 18, 19, 25, 16, 188, 4630, 8935, 6811, 749, 626, 497, 7664, 274, 6750, 44315, 276, 2110, 18903, 14, 1648, 324, 33457, 10582, 830, 254, 4472, 4351, 555, 1444, 607, 20, 14, 18, 18, 18, 5644, 13631, 16, 826, 555, 8649, 597, 17077, 276, 254, 8548, 14, 343, 688, 15806, 8920, 38612, 286, 9787, 34747, 274, 597, 282, 374, 18, 7, 328, 615, 2546, 4009, 276, 1316, 282, 6255, 743, 5655, 16, 188, 510, 27924, 555, 669, 44162, 254, 11543, 5886, 282, 2411, 254, 5427, 457, 85, 19658, 3396, 16687, 14, 1373, 433, 328, 748, 2984, 8935, 1869, 254, 769, 26764, 258, 18490, 666, 324, 254, 33457, 4351, 22426, 432, 3605, 31190, 282, 35769, 5848, 36455, 286, 3701, 8645, 16, 3683, 4273, 276, 254, 8548, 452, 643, 769, 17260, 82, 4687, 666, 5655, 14, 2474, 282, 388, 777, 14, 1899, 282, 11333, 687, 22137, 14, 407, 15002, 729, 597, 282, 9665, 12362, 6214, 274, 2470, 374, 18, 19, 27, 16, 188, 510, 34980, 6625, 1141, 86, 1147, 3737, 248, 1280, 328, 7738, 4419, 327, 580, 276, 338, 18, 274, 9389, 457, 85, 5655, 1649, 276, 4936, 30379, 1364, 802, 532, 756, 580, 15, 24675, 394, 274, 729, 1652, 254, 769, 2523, 15, 395, 15, 67, 2630, 666, 14670, 324, 615, 4325, 2942, 16, 188, 510, 3768, 274, 6000, 2367, 30379, 555, 13179, 432, 338, 25, 7, 276, 338, 27, 27, 25, 282, 338, 18, 7, 276, 374, 18, 19, 24, 14, 254, 1141, 86, 1147, 749, 14, 6069, 327, 254, 14670, 4936, 687, 16151, 4009, 573, 669, 10821, 3811, 16, 188, 34727, 274, 1093, 2430, 4936, 30379, 11042, 248, 14670, 274, 387, 1824, 338, 18, 7, 1364, 802, 314, 3374, 432, 719, 19, 7, 276, 338, 27, 27, 25, 581, 1205, 374, 18, 7, 274, 1093, 2430, 30379, 1652, 769, 2523, 286, 248, 2630, 666, 314, 3374, 432, 374, 23, 10686, 0, 34709, 311, 248, 479, 17915, 324, 10711, 3395, 16, 26076, 4123, 10563, 2328, 254, 30375, 5530, 282, 7580, 555, 2411, 248, 2298, 274, 248, 502, 469, 854, 16, 1547, 1663, 282, 751, 3542, 276, 695, 24258, 9931, 14, 282, 1741, 387, 36546, 15224, 266, 286, 14, 276, 2094, 14, 3236, 324, 254, 2803, 274, 254, 2758, 282, 785, 695, 10439, 328, 729, 348, 353, 555, 2152, 324, 593, 1125, 2489, 16, 188, 1931, 626, 311, 1495, 2169, 274, 9306, 16, 380, 2169, 663, 2427, 457, 86, 872, 282, 1663, 282, 7580, 282, 7500, 2251, 974, 596, 2102, 452, 353, 16, 9946, 67, 18960, 608, 46672, 14, 6623, 286, 16565, 14, 311, 327, 2169, 274, 9306, 16, 188, 25165, 608, 46672, 4255, 282, 7580, 276, 374, 18, 18, 25, 432, 616, 7716, 10586, 14, 282, 1240, 15897, 3847, 387, 254, 16830, 69, 1282, 3330, 5930, 38263, 16, 1268, 436, 369, 811, 272, 15817, 14, 701, 1430, 1331, 14, 974, 701, 573, 643, 593, 769, 36448, 666, 512, 274, 616, 1464, 16, 2003, 8075, 2144, 343, 8747, 286, 10637, 28, 701, 2865, 801, 17263, 324, 616, 5805, 785, 387, 1241, 17877, 14, 1241, 1090, 276, 248, 4059, 16, 1469, 4671, 282, 3223, 7223, 16161, 276, 616, 5537, 1464, 24261, 10117, 254, 3746, 17263, 324, 616, 1193, 1683, 11, 286, 3285, 248, 9475, 274, 10066, 1091, 512, 274, 436, 407, 254, 2289, 274, 10215, 16, 188, 9334, 841, 9619, 254, 3439, 8499, 25088, 67, 30150, 399, 17263, 276, 10586, 14, 701, 369, 7183, 282, 3437, 616, 2251, 286, 616, 1390, 3108, 324, 248, 1464, 276, 6010, 16, 380, 2843, 573, 643, 328, 254, 888, 14408, 255, 324, 1090, 532, 353, 3297, 1034, 1063, 327, 16, 3928, 6935, 13499, 6754, 276, 6010, 670, 18960, 608, 46672, 369, 248, 1612, 3122, 14, 286, 701, 650, 4615, 17212, 9024, 432, 23446, 6355, 925, 1896, 390, 7580, 16, 10586, 369, 4438, 282, 5475, 26300, 276, 254, 15514, 25, 18, 85, 286, 15514, 26, 18, 85, 14, 286, 18960, 608, 46672, 12311, 14, 616, 2836, 6024, 597, 14, 327, 353, 369, 769, 2927, 279, 38115, 12443, 666, 1091, 254, 3056, 8171, 561, 324, 14658, 14, 11387, 407, 248, 884, 1344, 891, 386, 21191, 1091, 1033, 671, 701, 5325, 597, 616, 31772, 274, 4959, 1464, 16, 3928, 18764, 27274, 17690, 1503, 1754, 327, 1464, 276, 9707, 650, 452, 18415, 616, 1755, 1091, 3657, 21026, 282, 254, 948, 327, 701, 555, 8518, 23798 ]

[ 1, 282, 5598, 248, 42314, 324, 7732, 774, 2023, 327, 14, 603, 254, 35000, 30382, 1595, 254, 3427, 2662, 14, 254, 3427, 2662, 587, 321, 3994, 348, 272, 5598, 274, 254, 42314, 324, 1572, 4280, 16, 0, 11478, 10938, 9015, 555, 643, 44308, 348, 248, 1247, 4363, 5911, 276, 7969, 19658, 1912, 4163, 327, 555, 254, 2365, 282, 10233, 34601, 14, 3637, 8940, 1707, 328, 6750, 2499, 683, 501, 8938, 14, 286, 751, 1444, 254, 30178, 274, 19658, 14654, 663, 15444, 366, 2502, 942, 663, 997, 390, 765, 747, 729, 16, 31516, 327, 3831, 819, 5493, 452, 643, 13694, 273, 1093, 5215, 14, 286, 624, 18118, 403, 8353, 282, 11032, 282, 1336, 7730, 1392, 615, 25940, 16, 188, 1931, 248, 1280, 436, 2065, 407, 23428, 668, 272, 5497, 2133, 387, 10274, 282, 889, 11032, 286, 12983, 9015, 282, 12099, 5655, 369, 248, 23609, 327, 1205, 819, 1017, 15, 17061, 3432, 457, 86, 1845, 248, 16044, 15, 455, 16, 188, 510, 23428, 1280, 749, 327, 254, 4817, 1912, 272, 3259, 327, 369, 658, 27056, 407, 254, 1242, 274, 1364, 802, 1912, 369, 9899, 282, 7275, 25925, 407, 20149, 5957, 276, 501, 8938, 9017, 687, 338, 18, 1090, 14, 944, 274, 533, 2144, 432, 1770, 16, 380, 975, 7856, 769, 885, 9669, 3038, 327, 4935, 8940, 497, 28194, 1756, 2474, 282, 23428, 14, 1648, 28645, 2912, 501, 8938, 327, 2818, 254, 3056, 769, 30314, 457, 85, 666, 390, 30201, 432, 763, 512, 15, 30314, 457, 85, 23493, 16, 731, 669, 369, 10601, 3512, 8940, 663, 497, 440, 27758, 324, 254, 9253, 16, 496, 272, 46391, 3782, 14, 248, 2485, 33728, 749, 769, 2440, 369, 1582, 900, 407, 10274, 12099, 398, 282, 7275, 8940, 449, 188, 9334, 2101, 3340, 432, 254, 4817, 3470, 457, 86, 900, 282, 7275, 8940, 14, 25282, 286, 8381, 663, 1240, 254, 12983, 9015, 276, 19658, 1309, 254, 6932, 311, 248, 9477, 668, 843, 819, 4163, 476, 321, 900, 16, 188, 41085, 7548, 749, 254, 889, 274, 12983, 9015, 286, 931, 5692, 276, 26762, 555, 8010, 432, 4163, 327, 8300, 14186, 501, 8938, 324, 27733, 1912, 3647, 834, 254, 2824, 3005, 274, 19658, 1912, 282, 18374, 254, 12132, 274, 248, 2485, 457, 85, 1640, 33685, 286, 835, 769, 27298, 666, 843, 282, 3637, 25925, 9, 501, 8938, 390, 19622, 282, 729, 16, 3683, 403, 1438, 1949, 14, 960, 12983, 9015, 282, 1574, 286, 5228, 22798, 2964, 15, 15683, 286, 756, 3217, 276, 7300, 387, 254, 1364, 3109, 276, 254, 1213, 16, 188, 1304, 5926, 254, 2835, 274, 843, 580, 2485, 8123, 327, 942, 432, 248, 2110, 46746, 2063, 15416, 624, 2156, 14, 3061, 974, 274, 3248, 35067, 2008, 14, 286, 4285, 353, 369, 1438, 282, 3408, 42477, 942, 432, 327, 46746, 2063, 16, 188, 1590, 1253, 596, 1848, 457, 86, 1354, 713, 2320, 369, 626, 457, 85, 248, 18286, 3163, 2362, 46746, 11330, 16, 6971, 5711, 274, 6000, 286, 8940, 3285, 1181, 1637, 10827, 928, 345, 749, 14, 38476, 729, 282, 40595, 15813, 2330, 3778, 274, 942, 274, 3189, 1063, 596, 14630, 254, 10275, 16, 188, 45, 288, 377, 749, 248, 6453, 2152, 276, 2318, 374, 18, 19, 26, 274, 4273, 443, 435, 1198, 2893, 343, 1102, 327, 576, 21, 2476, 2287, 960, 272, 5764, 282, 1041, 248, 19658, 2964, 16, 496, 4679, 512, 274, 1093, 2153, 14, 254, 5764, 650, 6458, 248, 769, 18349, 666, 327, 19658, 14654, 807, 1354, 713, 2320, 670, 2328, 2379, 6902, 14, 343, 1910, 3175, 14, 328, 5054, 282, 15813, 16, 188, 29353, 252, 3904, 406, 285, 14, 272, 13010, 11336, 276, 36851, 2421, 457, 85, 8118, 6693, 7605, 663, 555, 2152, 2479, 328, 843, 11032, 476, 321, 25097, 1060, 594, 29518, 276, 19658, 8112, 14, 749, 580, 1840, 311, 327, 254, 6758, 931, 476, 321, 22798, 16, 740, 5764, 9899, 282, 3637, 8940, 282, 1708, 33685, 774, 321, 1707, 328, 2949, 9856, 327, 3622, 403, 22798, 14, 6524, 282, 14654, 663, 2210, 942, 2103, 390, 16607, 327, 6231, 457, 86, 8419, 8993, 16, 188, 39651, 12148, 248, 13438, 869, 248, 4817, 327, 457, 85, 4131, 276, 15, 5798, 286, 1497, 329, 2620, 931, 328, 501, 8938, 9017, 282, 580, 2485, 286, 3238, 13443, 327, 14698, 931, 432, 9529, 274, 5655, 16, 188, 5910, 4273, 8920, 12983, 9015, 5493, 324, 19658, 1309, 596, 457, 251, 6919, 539, 1538, 328, 22948, 8269, 16, 367, 1088, 6671, 85, 14, 324, 4090, 14, 533, 555, 25925, 3316, 6377, 20910, 15, 3066, 769, 37948, 666, 327, 2475, 13421, 747, 3983, 14, 13077, 15126, 1823, 14, 286, 843, 942, 5641, 561, 32911, 14, 2225, 819, 5493, 476, 321, 624, 15527, 274, 2196, 289, 2645, 683, 20428, 931, 14, 533, 353, 2427, 457, 86, 2408, 276, 695, 1735, 274, 8940, 387, 512, 16, 188, 1130, 669, 3695, 943, 695, 11032, 14, 10657, 254, 1508, 274, 1015, 8419, 14, 14649, 286, 15729, 2315, 286, 835, 40761, 254, 1508, 769, 26453, 3997, 555, 272, 4363, 4688, 274, 7922, 729, 1756, 749, 13189, 91, 22139, 500, 404, 14, 367, 1088, 6671, 85, 9, 1450, 274, 1830, 16, 188, 17769, 6105, 443, 1203, 14218, 7186, 14, 663, 5480, 248, 1910, 5189, 3819, 387, 6132, 26580, 442, 14, 749, 327, 457, 85, 11231, 282, 2411, 7361, 900, 16, 0, 1675, 1787, 274, 12976, 311, 8814, 282, 3064, 772, 801, 7760, 25878, 16, 10419, 16, 45597, 366, 16, 11100, 255, 286, 16586, 2288, 276, 12976, 25372, 16, 839, 29187, 607, 18, 13, 11100, 398, 14, 22017, 85, 286, 8832, 7763, 398, 282, 7829, 16, 1664, 587, 321, 374, 7746, 55, 8856, 14, 2741, 26239, 282, 4017, 35596, 668, 633, 3462, 14, 348, 963, 348, 9676, 22521, 671, 16, 0, 35, 15407, 2239, 1572, 460, 2170, 1572, 1005, 2939, 13637, 2640, 890, 18, 18, 2122, 367, 36898, 38865, 16, 890, 18, 18, 90, 26, 18, 18, 2122, 16, 188, 16746, 12069, 16381, 34221, 343, 890, 18, 18, 2122, 25493, 3260, 16, 890, 18, 18, 90, 26, 18, 18, 2122, 16, 0, 1516, 311, 248, 20253, 9299, 1844, 387, 20855, 39, 4141, 532, 4674, 561, 387, 8675, 4235, 742, 13416, 16, 20855, 39, 4141, 14, 314, 18048, 250, 5465, 2659, 312, 32100, 4039, 2841, 288, 38895, 4548, 11, 311, 248, 38783 ]

[ 1, 452, 5444, 254, 11959, 614, 963, 276, 254, 2391, 14, 653, 1554, 12849, 188, 7470, 587, 321, 2464, 274, 368, 1037, 1181, 624, 16, 188, 39, 263, 10119, 73, 2225, 28, 9315, 751, 282, 443, 409, 79, 1207, 20828, 4800, 12249, 14, 653, 1554, 12849, 188, 510, 9693, 13245, 23597, 432, 254, 278, 3988, 387, 254, 3093, 267, 6748, 9, 275, 14782, 792, 282, 3858, 254, 20828, 16, 22519, 254, 1026, 403, 2254, 7317, 7609, 274, 2141, 735, 304, 4041, 14, 5995, 20644, 1798, 21426, 14, 5848, 29245, 7609, 14, 4529, 9, 36102, 39582, 14, 26967, 2010, 2005, 37175, 286, 15858, 79, 3393, 7609, 1912, 688, 274, 729, 17294, 16, 188, 27088, 10638, 2141, 735, 304, 4041, 14, 353, 311, 4607, 327, 1594, 311, 1062, 3320, 16, 380, 29306, 14, 42711, 14, 9393, 1037, 3997, 311, 7290, 286, 6008, 3238, 443, 409, 79, 1207, 20828, 16, 15159, 535, 323, 4271, 72, 605, 311, 6008, 348, 963, 14, 276, 2824, 274, 254, 4438, 10723, 282, 254, 20828, 16, 188, 3852, 735, 304, 4041, 1939, 2022, 2225, 28, 310, 4143, 843, 1181, 3248, 596, 1782, 2445, 16, 188, 35, 14283, 47409, 399, 14441, 2158, 2225, 28, 7560, 3, 1638, 626, 1594, 3320, 33, 188, 40994, 26367, 274, 5848, 29245, 2225, 28, 1638, 254, 4183, 687, 33, 188, 39212, 79, 3393, 45527, 2225, 28, 310, 2950, 688, 274, 729, 1076, 16, 731, 1848, 625, 997, 1157, 16, 188, 20365, 26367, 274, 5995, 20644, 2225, 28, 1638, 254, 411, 1099, 2691, 33278, 33, 188, 1031, 4384, 2010, 2005, 17679, 2225, 28, 1638, 3997, 33278, 33, 188, 39212, 79, 3393, 45527, 2225, 28, 310, 3409, 3148, 311, 33278, 16, 188, 18145, 9, 36102, 13384, 3675, 2225, 28, 1691, 4448, 387, 4669, 3492, 34446, 33, 188, 510, 10723, 282, 443, 409, 79, 1207, 20828, 452, 643, 17963, 16, 380, 6851, 274, 254, 11959, 614, 1339, 321, 6702, 3, 188, 12510, 479, 3198, 443, 409, 79, 1207, 20828, 16, 188, 35356, 427, 29546, 403, 1225, 14, 3584, 254, 6851, 14, 314, 779, 7522, 8627, 11, 444, 263, 10119, 73, 14, 1472, 264, 36507, 293, 656, 14, 21314, 5486, 7667, 16208, 85, 14, 26967, 2010, 2005, 12608, 307, 14, 286, 444, 435, 858, 21972, 1572, 14576, 14, 348, 963, 348, 1241, 33172, 463, 7575, 28618, 4526, 14, 13797, 28582, 286, 44139, 2051, 14244, 18092, 16, 188, 1853, 254, 9693, 13245, 16306, 713, 254, 2244, 14, 31038, 625, 3190, 275, 7613, 286, 26878, 615, 12668, 16, 188, 46, 264, 625, 3190, 275, 20148, 252, 2225, 28, 411, 1099, 2691, 3, 380, 653, 2360, 32, 368, 1869, 324, 555, 7053, 16, 839, 756, 13914, 323, 10368, 285, 1012, 16, 188, 14846, 9, 36102, 2225, 28, 14919, 14, 653, 1554, 9718, 353, 434, 1037, 1157, 13692, 2144, 16, 6683, 321, 1037, 1382, 80, 250, 9, 2094, 16, 188, 36, 6355, 13784, 1647, 1153, 2225, 28, 1258, 479, 1052, 276, 618, 20049, 398, 14, 411, 1099, 2691, 16, 5243, 10502, 1339, 321, 20224, 3, 188, 14846, 9, 36102, 2225, 28, 21326, 3447, 324, 2768, 14, 13784, 1647, 1153, 16, 3086, 1652, 580, 1037, 2379, 6954, 16, 15113, 915, 2768, 4068, 11959, 614, 1037, 19354, 2196, 16, 188, 46, 264, 625, 3190, 275, 20148, 252, 2225, 28, 380, 20333, 3542, 695, 6776, 328, 254, 4669, 3492, 34446, 16, 7644, 942, 3387, 561, 324, 42847, 16, 188, 44, 75, 8498, 82, 1377, 2225, 28, 839, 872, 729, 6919, 328, 37297, 254, 34839, 14, 417, 24417, 2093, 1668, 23532, 85, 16, 188, 18018, 26386, 330, 676, 285, 4013, 251, 10921, 2225, 28, 2666, 2960, 276, 254, 20181, 250, 7407, 8375, 479, 2110, 2672, 274, 254, 6284, 274, 10781, 403, 1493, 282, 30209, 254, 11959, 614, 888, 713, 17839, 21079, 16, 188, 14846, 9, 36102, 2225, 28, 12441, 434, 1157, 16, 330, 8041, 832, 1037, 6327, 2871, 1037, 684, 1391, 360, 14000, 597, 2768, 26000, 16, 188, 2219, 792, 12490, 443, 594, 89, 887, 2225, 28, 2010, 12117, 32049, 3, 5932, 961, 252, 12192, 1037, 626, 434, 641, 11216, 276, 353, 3, 188, 36, 6355, 13784, 1647, 1153, 2225, 28, 839, 21587, 1074, 248, 1026, 282, 4306, 888, 254, 34839, 14, 411, 1099, 2691, 16, 826, 360, 23389, 3, 188, 53, 10368, 285, 16306, 713, 254, 2244, 16, 188, 46, 264, 625, 3190, 275, 20148, 252, 2225, 28, 380, 378, 507, 30478, 11313, 311, 1045, 14, 6663, 9, 36102, 16, 1691, 311, 353, 368, 2980, 282, 1970, 441, 33, 188, 19387, 3492, 34446, 369, 811, 254, 4917, 16, 380, 20333, 587, 24188, 4373, 16, 10031, 254, 4954, 14, 596, 587, 9709, 670, 360, 403, 4924, 16, 188, 53, 10368, 285, 16479, 282, 2849, 1949, 713, 254, 2244, 14, 254, 2120, 10723, 10902, 3108, 616, 1205, 6663, 9, 36102, 555, 248, 21930, 273, 4793, 16, 6663, 9, 36102, 9263, 282, 3856, 16, 188, 53, 10368, 285, 9470, 7793, 282, 254, 22668, 16, 188, 14846, 9, 36102, 28, 11746, 2271, 67, 19274, 1309, 2393, 587, 1703, 479, 3402, 16, 188, 39041, 323, 10368, 285, 16579, 27952, 28, 496, 254, 980, 14, 2393, 3790, 441, 512, 16, 188, 39041, 323, 10368, 285, 16579, 27952, 28, 1268, 254, 11959, 614, 587, 3051, 328, 16, 188, 14846, 9, 36102, 9517, 16, 323, 10368, 285, 4417, 6134, 387, 616, 6136, 348, 6663, 9, 36102, 434, 5937, 2069, 311, 1938, 2584, 1919, 328, 248, 7474, 5161, 407, 378, 6355, 286, 31038, 625, 3190, 275, 16, 380, 6029, 835, 2462, 282, 6663, 9, 36102, 434, 6024, 20292, 7048, 251, 3238, 248, 2286, 15, 2523, 2141, 735, 304, 4041, 14, 343, 323, 10368, 285, 9999, 254, 7048, 251, 16, 188, 39041, 323, 10368, 285, 16579, 27952, 28, 6663, 9, 36102, 311, 3720, 16, 188, 2899, 835, 7613, 282, 2377, 254, 942, 274, 254, 11959, 614, 16, 188, 39041, 323, 10368, 285, 16579, 27952, 28, 8229, 2124, 368, 587, 1336, 479, 31177, 463, 775, 33, 188, 3602, 38697, 615, 716, 291, 286, 2654, 713, 43183, 274, 347, 1507, 6663, 9, 36102, 4, 286, 347, 1507, 254, 11959, 614, 1445, 188, 9928, 452, 12680, 387, 254, 3093, 267, 6748, 9, 275, 14782, 792, 811, 3238, 2141, 735, 304, 4041, 282, 2014, 615, 2379, 22292, 282, 6663, 9, 36102, 16, 380 ]

[ 1, 14500, 34986, 398, 16, 188, 510, 3798, 311, 867, 387, 254, 750, 28375, 7134, 830, 254, 576, 27, 398, 587, 1354, 328, 254, 45829, 328, 4257, 374, 18, 16, 740, 31745, 1874, 14, 254, 427, 31730, 476, 1767, 254, 2377, 274, 254, 3637, 1525, 2819, 16, 45577, 865, 327, 14209, 311, 15842, 387, 254, 4852, 10483, 576, 27, 398, 3637, 14, 533, 311, 2075, 596, 403, 25680, 282, 4349, 4852, 10483, 576, 27, 398, 21445, 14583, 16, 23948, 328, 8178, 14, 374, 18, 19, 23, 1503, 321, 254, 802, 670, 254, 20585, 3648, 3217, 1683, 1495, 10120, 16, 4886, 457, 86, 2891, 254, 2181, 3051, 286, 1663, 1305, 254, 576, 27, 398, 16, 0, 15834, 1514, 1265, 382, 2886, 276, 254, 8534, 14, 31849, 17349, 3617, 286, 43709, 1665, 428, 3762, 274, 4204, 1719, 1064, 8752, 35913, 1663, 282, 2482, 670, 360, 1141, 668, 254, 842, 491, 2524, 274, 254, 802, 16, 532, 641, 2563, 1826, 276, 254, 8534, 15, 31717, 14299, 390, 254, 2019, 5976, 14, 43709, 36486, 14, 15356, 286, 439, 21681, 273, 36826, 5256, 272, 6571, 15, 1072, 14667, 997, 16, 432, 980, 15, 22078, 374, 18, 19, 26, 282, 4122, 15, 21733, 374, 18, 19, 26, 14, 254, 17216, 8823, 10872, 16262, 14400, 254, 8534, 15356, 1590, 10583, 659, 368, 1919, 713, 248, 30695, 8752, 4143, 1348, 16, 0, 43, 715, 417, 248, 17551, 1058, 1941, 753, 390, 12120, 382, 286, 1041, 641, 3790, 282, 254, 9947, 16, 17307, 457, 85, 14632, 3095, 286, 12775, 403, 4311, 282, 254, 1999, 16, 1395, 403, 8903, 5346, 324, 512, 6902, 26900, 282, 633, 1738, 16, 188, 41, 15, 13953, 6132, 7356, 315, 311, 248, 4698, 274, 19653, 327, 618, 1963, 286, 310, 5838, 286, 4126, 29, 353, 311, 3427, 286, 4061, 324, 44521, 6206, 756, 16, 443, 15, 13953, 6132, 7356, 315, 1042, 417, 2023, 3615, 390, 4181, 7338, 16, 188, 510, 1460, 328, 443, 15, 13953, 6132, 7356, 315, 311, 417, 5864, 348, 14, 4402, 933, 353, 321, 2696, 248, 16048, 324, 14, 5537, 3615, 7338, 14, 13610, 14, 5950, 14, 25003, 14, 390, 1914, 274, 665, 2169, 16, 188, 510, 1460, 328, 443, 15, 13953, 6132, 7356, 315, 311, 2449, 1269, 665, 22881, 16, 24881, 7500, 254, 7338, 274, 633, 12524, 390, 1495, 11835, 1738, 11399, 343, 665, 3418, 368, 774, 452, 4850, 248, 3615, 1580, 16, 8783, 26767, 5537, 3615, 7338, 390, 5613, 8222, 353, 974, 274, 1594, 368, 452, 1218, 328, 443, 15, 13953, 6132, 7356, 315, 16, 13157, 3615, 17485, 432, 248, 16753, 12524, 933, 321, 2709, 1063, 4917, 390, 25386, 665, 6025, 14, 5598, 14, 390, 14486, 2024, 14, 286, 633, 12524, 933, 321, 7976, 274, 512, 21322, 2462, 16, 380, 1460, 328, 443, 15, 13953, 6132, 7356, 315, 311, 282, 321, 900, 387, 633, 1193, 2417, 1707, 328, 633, 3757, 16, 1395, 5307, 2057, 8075, 286, 9520, 324, 633, 5077, 16, 188, 41, 15, 13953, 6132, 7356, 315, 1042, 417, 11882, 327, 254, 12347, 6930, 276, 665, 274, 254, 19653, 403, 35995, 1903, 16, 1286, 368, 452, 248, 2653, 35995, 14, 368, 933, 3533, 1826, 368, 403, 25978, 282, 254, 12347, 276, 1004, 13242, 286, 417, 10443, 328, 7043, 327, 248, 1748, 13242, 311, 32434, 1903, 14, 22055, 1903, 14, 5660, 1903, 14, 18622, 1903, 14, 390, 1903, 274, 665, 642, 1841, 24281, 258, 16, 24881, 946, 4848, 2653, 10602, 9347, 670, 13454, 2653, 16, 188, 1516, 4282, 14, 443, 15, 13953, 6132, 7356, 315, 14, 5961, 21322, 1460, 324, 19653, 6050, 328, 436, 2586, 16, 826, 1460, 311, 2449, 348, 248, 22882, 286, 933, 417, 321, 20685, 348, 248, 11882, 16, 826, 1460, 311, 248, 1830, 274, 3783, 2577, 2317, 819, 348, 19870, 8393, 994, 16, 679, 14, 37295, 4425, 5335, 43516, 14, 286, 46746, 5946, 27945, 16, 2929, 16, 3996, 443, 15, 13953, 6132, 7356, 315, 9188, 282, 2023, 7692, 21322, 1460, 14, 836, 8219, 933, 321, 2696, 7980, 16, 655, 551, 273, 2533, 819, 348, 1830, 3395, 390, 17236, 9461, 14, 3506, 14695, 276, 5194, 4565, 14, 286, 254, 1026, 12347, 403, 11424, 1767, 254, 3458, 21322, 1460, 276, 665, 1635, 13242, 16, 5328, 14, 1015, 3783, 2577, 2317, 2023, 1015, 1508, 7100, 328, 615, 12120, 948, 4822, 286, 11032, 16, 5995, 641, 5819, 587, 443, 15, 13953, 6132, 7356, 315, 321, 5346, 324, 665, 2863, 390, 4577, 4645, 324, 633, 21421, 328, 254, 21322, 1460, 16, 188, 20339, 14, 1015, 3783, 2577, 2317, 2023, 1015, 1508, 7100, 328, 615, 12120, 948, 4822, 286, 11032, 16, 5995, 641, 5819, 587, 443, 15, 13953, 6132, 7356, 315, 321, 5346, 324, 665, 2863, 390, 4577, 4645, 324, 633, 21421, 328, 254, 21322, 1460, 16, 0, 1130, 268, 3613, 28, 8149, 17066, 276, 10169, 1223, 48104, 570, 14, 417, 2019, 432, 1011, 5998, 16, 11763, 1250, 15, 9627, 9648, 452, 643, 27001, 456, 16, 188, 510, 2586, 274, 38738, 3613, 555, 324, 248, 6650, 628, 643, 27001, 456, 16, 380, 29358, 620, 274, 254, 13751, 5487, 281, 6961, 14, 2228, 14, 403, 254, 1964, 12375, 274, 248, 4010, 282, 38738, 3613, 16, 188, 510, 4136, 36559, 276, 254, 3867, 274, 254, 24266, 354, 29988, 14, 533, 311, 254, 944, 9629, 274, 512, 9648, 27001, 456, 276, 38738, 3613, 14, 8193, 274, 10215, 15, 11744, 1330, 6106, 279, 6677, 972, 327, 5501, 248, 3936, 14, 4136, 6029, 14, 669, 6106, 16, 12182, 14, 436, 628, 274, 15974, 13202, 286, 2468, 321, 24740, 16, 380, 10215, 15, 11744, 4434, 13084, 1901, 1015, 3307, 274, 10964, 14, 512, 7618, 16, 0, 53, 37619, 40713, 2950, 520, 1464, 348, 272, 38581, 19299, 14115, 14, 343, 18469, 85, 286, 15972, 14, 532, 1845, 254, 1057, 12029, 16, 750, 650, 563, 1051, 276, 2803, 348, 254, 27556, 8144, 6480, 14, 348, 254, 6297, 35482, 274, 520, 1362, 16, 2514, 7803, 1090, 432, 1012, 14, 2079, 13487, 650, 997, 888, 286, 28507, 387, 254, 1464, 274, 380, 46779, 1243, 2081, 14, 254, 1247, 6480, 3569, 1464, 369, 580, 274, 276, 824, 386, 1195, 1059, 14, 532, 663, 16324, 254, 41969, 274, 254, 8144, 5510, 16, 188, 3602, 650, 997, 888, 286, 915, 254, 636, 663, 6754, 407, 520, 3853, 28, 347 ]

[ 1, 713, 254, 3132, 791, 89, 376, 789, 1067, 11174, 1065, 926, 1800, 276, 7780, 16, 926, 603, 1303, 68, 313, 311, 417, 8037, 286, 1303, 68, 313, 3493, 684, 5462, 5141, 1003, 603, 45442, 10, 4026, 68, 313, 14, 1626, 383, 800, 2192, 2498, 791, 4026, 68, 313, 426, 543, 4026, 68, 313, 63, 1003, 1952, 28, 2498, 791, 4026, 68, 313, 426, 1303, 68, 313, 1003, 324, 883, 276, 791, 4026, 68, 313, 28, 2498, 603, 883, 276, 39684, 8626, 28, 3986, 898, 65, 262, 65, 68, 313, 426, 16247, 3986, 2654, 5896, 603, 3377, 65, 68, 313, 28, 1003, 898, 65, 262, 65, 68, 313, 426, 11475, 5896, 898, 3226, 262, 68, 313, 426, 898, 65, 262, 65, 68, 313, 926, 898, 3226, 3472, 1371, 426, 7685, 1371, 926, 1800, 6688, 3226, 35436, 426, 39684, 8626, 926, 1419, 39684, 8626, 926, 1076, 898, 2621, 1800, 3826, 818, 254, 15722, 5314, 2617, 314, 18611, 13440, 10425, 800, 4892, 378, 1661, 31751, 647, 1800, 1336, 11, 282, 254, 9580, 3446, 1308, 1788, 647, 603, 11317, 24051, 6963, 870, 311, 8037, 28, 926, 2001, 426, 14661, 647, 1952, 28, 926, 2001, 426, 11317, 24051, 6963, 870, 2621, 14887, 24051, 6963, 870, 426, 2001, 558, 8665, 80, 3333, 13575, 9840, 1855, 65, 6963, 11, 558, 1336, 65, 1320, 2621, 1800, 5568, 254, 3132, 1308, 434, 1390, 282, 248, 743, 10815, 593, 360, 476, 2218, 353, 647, 1800, 670, 20272, 2803, 647, 14887, 3226, 1554, 426, 11317, 24051, 1554, 870, 2621, 1076, 14887, 1465, 1076, 11174, 1065, 534, 188, 2360, 19190, 12923, 10, 5912, 2192, 477, 28002, 14567, 2979, 1384, 426, 7954, 1465, 804, 4623, 4338, 21257, 1262, 14, 20838, 31, 11033, 14, 432, 65, 2617, 31, 5489, 14, 8675, 31, 5489, 2192, 647, 11916, 647, 411, 15435, 1444, 21553, 38534, 13043, 434, 20269, 36, 1661, 16420, 5037, 18339, 274, 5495, 647, 314, 3494, 1333, 7088, 16, 679, 17, 275, 83, 23, 90, 17, 2931, 16420, 557, 669, 4288, 1125, 4081, 647, 2983, 324, 624, 6813, 785, 343, 378, 1661, 4227, 16, 2621, 475, 4040, 12, 311, 5271, 254, 1390, 274, 248, 378, 1661, 15, 2927, 1819, 14, 532, 476, 669, 321, 647, 580, 274, 254, 1527, 28, 5896, 475, 248, 2787, 19151, 926, 475, 1495, 19190, 12923, 1740, 926, 475, 272, 9773, 494, 274, 5225, 1190, 4960, 926, 475, 272, 1493, 1819, 1740, 926, 475, 248, 347, 3039, 9162, 4, 2787, 314, 2798, 2622, 11, 2621, 1286, 475, 3933, 65, 2617, 12, 311, 11475, 14, 835, 368, 476, 1477, 248, 2787, 327, 4288, 647, 254, 9162, 274, 254, 19190, 12923, 368, 961, 282, 2706, 16, 210, 826, 587, 1519, 512, 647, 8247, 348, 46703, 85, 286, 3510, 282, 14310, 3039, 14, 12415, 5745, 368, 1477, 348, 647, 475, 4040, 12, 348, 254, 9162, 274, 254, 3598, 1819, 16, 210, 826, 669, 21795, 6153, 3005, 16, 2621, 38877, 10123, 311, 282, 1110, 282, 272, 5210, 1819, 1420, 5896, 248, 426, 19190, 12923, 2012, 67, 16, 2931, 3291, 2621, 1268, 368, 476, 669, 2706, 580, 432, 19459, 432, 248, 2787, 1420, 5896, 29708, 257, 426, 40369, 926, 3239, 40295, 58, 210, 338, 210, 338, 18, 18, 926, 3239, 40295, 58, 374, 23, 210, 848, 18, 18, 926, 3239, 40369, 926, 29708, 248, 426, 19190, 12923, 10, 85, 14, 3933, 65, 2617, 31, 4937, 11, 2621, 2141, 889, 6490, 327, 1663, 343, 7048, 2931, 16420, 1420, 31769, 29708, 1610, 65, 10947, 426, 7048, 2931, 16420, 16, 3434, 65, 11351, 65, 10947, 1067, 7627, 29708, 4005, 684, 67, 16, 2931, 9, 276, 1610, 65, 10947, 7627, 29708, 248, 426, 7048, 2931, 16420, 16, 11351, 65, 2931, 18656, 2012, 67, 16, 2931, 3291, 2621, 11916, 647, 1827, 16, 27242, 426, 8675, 647, 1827, 3226, 262, 68, 313, 426, 16247, 647, 1827, 3226, 68, 313, 65, 9879, 426, 4739, 2621, 603, 432, 65, 2617, 28, 926, 3598, 65, 27665, 426, 20838, 926, 20838, 426, 1827, 3226, 12428, 1067, 926, 270, 483, 426, 1493, 10, 4040, 14, 684, 89, 3291, 926, 324, 1360, 276, 3598, 65, 27665, 16, 8909, 8509, 14439, 1003, 603, 8249, 10, 1259, 16, 24915, 6472, 2224, 470, 28, 2498, 3906, 1003, 1360, 426, 17600, 86, 5813, 13575, 10, 1259, 16, 8909, 6472, 558, 17600, 80, 9, 1003, 270, 483, 16, 6171, 10, 1259, 11, 926, 270, 483, 16, 10212, 1067, 2621, 1952, 28, 926, 1800, 772, 785, 311, 2102, 2152, 926, 603, 45442, 10, 4040, 14, 19190, 12923, 2192, 1003, 20838, 426, 20838, 16, 4040, 5896, 1800, 432, 65, 2617, 31, 5489, 14, 593, 5307, 353, 434, 248, 19151, 926, 27985, 45442, 10, 4040, 14, 1626, 383, 800, 2192, 1003, 603, 8675, 28, 2498, 1827, 3226, 262, 68, 313, 426, 11475, 1003, 1952, 28, 2498, 603, 417, 7481, 16, 3839, 16, 18830, 10, 4040, 2192, 3986, 6975, 11422, 4608, 2012, 4365, 16795, 85, 4, 1042, 417, 2159, 9, 2384, 20838, 11, 2498, 1827, 3226, 262, 68, 313, 426, 311, 36, 2229, 10, 4040, 11, 5896, 1800, 1286, 30214, 390, 1581, 14, 835, 5166, 348, 1819, 801, 926, 1800, 314, 10809, 266, 1800, 25, 21, 11, 926, 27985, 45442, 10, 4040, 14, 314, 3434, 14, 30214, 47757, 1003, 20838, 426, 19190, 12923, 10, 2480, 10, 4040, 4878, 14837, 285, 4872, 4040, 5896, 1800, 17008, 5307, 27821, 14, 1309, 272, 1493, 1819, 348, 432, 926, 1800, 745, 7209, 16, 50, 34713, 926, 1952, 28, 1003, 20838, 426, 20838, 2621, 603, 45442, 10, 4040, 14, 48052, 2192, 926, 20838, 426, 1195, 10, 4040, 11, 2621, 1827, 16, 4040, 426, 20838, 2621, 603, 1827, 3226, 262, 68, 313, 286, 45442, 10, 1262, 16, 4040, 14, 1626, 383, 800, 2192, 926, 603, 417, 1827, 16, 27242, 28, 1003, 1574, 28, 2498, 1827, 3226, 68, 313, 65, 9879, 426, 684, 5813, 13575, 10, 36, 2229, 10, 1262, 16, 4040, 14, 10207, 65, 7286, 31, 4937, 1210, 11167, 1800, 378, 2229, 9166, 587, 6975, 11422, 4608, 324, 38575, 60, 3023, 265, 4227, 327, 403, 1003, 1800, 417, 378, 2229, 5811, 314, 71, 16, 73, 896, 8121, 378, 1661, 4227, 327, 452, 643, 38575, 60, 3023, 265, 1003, 1800, 324, 10064, 887, 11, 1003, 3584, 11422, 4608, 28, 2498, 1827, 3226, 262, 68, 313, 426, 16247 ]

[ 1, 3587, 15579, 14, 368, 1339, 11608, 665, 11704, 343, 441, 282, 248, 8993, 43400, 3082, 274, 3089, 254, 1703, 282, 248, 1278, 274, 1533, 16, 26199, 476, 756, 321, 3854, 15535, 14, 286, 417, 348, 628, 274, 248, 956, 2181, 16, 4626, 13949, 632, 555, 641, 14492, 282, 751, 3103, 343, 665, 23808, 368, 452, 343, 642, 2672, 14, 3614, 360, 774, 1574, 282, 12114, 248, 5894, 16, 188, 8413, 2328, 665, 1703, 14, 368, 286, 4626, 13949, 632, 5041, 282, 1574, 282, 11022, 665, 23808, 939, 1157, 5839, 5786, 16, 839, 889, 254, 1283, 347, 6854, 4, 276, 436, 5084, 890, 282, 1563, 665, 11704, 14, 1703, 390, 15854, 14080, 772, 274, 390, 5719, 282, 633, 889, 274, 772, 27466, 390, 436, 13908, 14, 1648, 633, 11186, 276, 4626, 13949, 632, 3284, 16, 1395, 390, 4626, 13949, 632, 774, 22355, 436, 1213, 407, 10160, 3427, 4226, 12575, 254, 11704, 286, 633, 3949, 5894, 16, 496, 254, 2288, 327, 360, 2468, 11022, 254, 2443, 1525, 495, 18, 2072, 1842, 274, 16710, 274, 254, 1954, 3990, 4226, 14, 368, 390, 4626, 13949, 632, 774, 3217, 248, 502, 2213, 304, 276, 8726, 343, 5084, 890, 16, 20, 16, 188, 31880, 348, 6418, 276, 5084, 890, 16, 23, 14, 368, 5041, 282, 11608, 665, 1703, 282, 500, 26652, 14, 1454, 896, 390, 695, 23424, 14, 5387, 44, 36312, 2719, 324, 2379, 286, 8746, 5203, 17573, 16, 496, 17573, 2110, 3453, 327, 368, 390, 360, 650, 452, 276, 1278, 774, 417, 321, 2066, 14, 819, 348, 8670, 390, 4408, 16, 1395, 286, 4626, 13949, 632, 403, 1004, 19657, 5019, 2113, 665, 977, 282, 2260, 407, 5794, 390, 4833, 276, 248, 1278, 274, 1533, 16, 826, 4205, 282, 6272, 4287, 2992, 4503, 9892, 274, 1826, 254, 1703, 15437, 1285, 390, 841, 665, 14639, 274, 436, 13908, 390, 633, 2860, 343, 4626, 13949, 632, 16, 188, 6516, 1703, 2186, 282, 17573, 1339, 321, 4578, 1525, 580, 802, 841, 254, 3407, 254, 3027, 716, 7993, 254, 1703, 801, 5887, 390, 47365, 450, 865, 274, 254, 765, 14, 32619, 390, 804, 336, 256, 4782, 5884, 282, 254, 1703, 14, 390, 254, 29425, 671, 2114, 11152, 407, 7559, 1533, 16, 188, 39703, 3027, 774, 24473, 17573, 407, 11781, 248, 3510, 258, 4681, 324, 17573, 343, 500, 26652, 14, 343, 248, 3378, 282, 254, 642, 3027, 2474, 282, 254, 4226, 7067, 276, 5084, 338, 19, 16, 20, 16, 380, 17573, 587, 321, 5043, 276, 8726, 343, 500, 26652, 5379, 12147, 42526, 1553, 15779, 286, 47362, 286, 665, 642, 7559, 4653, 327, 500, 36312, 4279, 5387, 44, 26652, 15779, 2719, 276, 1040, 348, 274, 254, 4681, 324, 17573, 16, 1395, 5041, 327, 254, 529, 16, 53, 16, 7468, 42526, 1553, 3059, 286, 4260, 17573, 1533, 1759, 254, 7705, 286, 7563, 69, 420, 274, 836, 17573, 9800, 16, 5931, 17573, 25505, 587, 1354, 1115, 276, 4852, 14500, 3801, 390, 11054, 2347, 407, 500, 26652, 15779, 16, 5243, 8075, 282, 2014, 665, 11781, 14, 10378, 286, 43400, 7914, 587, 321, 12368, 867, 6418, 276, 254, 500, 26652, 15779, 16, 380, 4532, 587, 28368, 343, 500, 26652, 286, 1004, 642, 276, 26450, 254, 17573, 9794, 14, 286, 276, 16739, 580, 43400, 432, 254, 4426, 500, 26652, 1581, 343, 6650, 2705, 276, 29351, 12370, 2779, 286, 3203, 23808, 16, 380, 43400, 2992, 946, 436, 13908, 286, 14, 282, 254, 5900, 11152, 407, 500, 26652, 15779, 14, 476, 5557, 4665, 14, 7914, 286, 11889, 14, 1648, 6652, 434, 7914, 1875, 345, 26346, 3027, 14, 3584, 327, 254, 43400, 2992, 417, 5557, 2852, 2395, 390, 38786, 6444, 2664, 2902, 3655, 532, 4532, 282, 254, 17573, 16, 4129, 20182, 597, 829, 345, 5557, 13326, 407, 819, 43400, 774, 321, 5797, 276, 665, 1278, 274, 19959, 7371, 16, 188, 1368, 390, 4626, 13949, 632, 774, 4005, 3790, 14, 603, 596, 18916, 14, 276, 1330, 3790, 1278, 276, 4852, 14500, 390, 665, 529, 16, 53, 16, 9382, 830, 368, 3051, 390, 785, 16, 1395, 390, 4626, 13949, 632, 774, 7500, 38786, 6444, 432, 248, 1278, 274, 19959, 7371, 276, 4852, 14500, 3801, 348, 3202, 282, 3889, 12370, 2779, 3453, 274, 368, 390, 4626, 13949, 632, 13532, 254, 11905, 274, 17573, 16, 4626, 13949, 632, 774, 1354, 2181, 276, 1278, 390, 17573, 282, 4672, 665, 7914, 390, 9050, 8317, 324, 14, 390, 282, 7500, 2373, 10204, 422, 6444, 12255, 282, 14, 27466, 5704, 14, 390, 30802, 889, 274, 772, 27466, 390, 12370, 2779, 16, 13161, 276, 436, 5084, 890, 2992, 36422, 4626, 13949, 632, 434, 977, 282, 9741, 14, 31233, 390, 23407, 633, 2320, 390, 2218, 282, 772, 27466, 16, 188, 1368, 774, 10073, 282, 11022, 23808, 939, 17573, 407, 4436, 273, 441, 387, 1305, 34, 14931, 13949, 632, 16, 679, 1525, 495, 18, 1842, 274, 254, 1362, 368, 801, 5041, 282, 436, 13908, 16, 5243, 4436, 1339, 2408, 633, 2057, 1390, 14, 15803, 2859, 14, 254, 4436, 2859, 9595, 282, 368, 9930, 1271, 13949, 632, 2320, 14, 286, 248, 2508, 3782, 327, 368, 961, 282, 1447, 561, 274, 17573, 16, 1286, 368, 1447, 561, 2474, 282, 436, 1213, 835, 5084, 890, 16, 20, 14, 890, 16, 21, 14, 286, 890, 16, 22, 274, 436, 13908, 513, 417, 4503, 282, 368, 16, 436, 1447, 15, 483, 1042, 417, 2730, 665, 642, 2511, 274, 436, 13908, 819, 348, 890, 16, 23, 314, 1630, 13845, 581, 890, 16, 25, 314, 4796, 11793, 411, 17862, 581, 338, 19, 16, 23, 314, 41, 1171, 912, 5245, 581, 338, 19, 16, 24, 314, 26372, 5496, 23906, 14, 286, 338, 19, 16, 26, 314, 4620, 324, 401, 4687, 481, 188, 18016, 28, 4886, 625, 18099, 71, 328, 3655, 434, 12370, 355, 553, 84, 554, 16, 1286, 368, 2780, 633, 12370, 2779, 311, 1129, 18099, 265, 9118, 328, 254, 9930, 1271, 13949, 632, 27466, 14, 4356, 946, 254, 7067, 276, 772, 17051, 35837, 14922, 5048, 46400, 45768, 447, 16, 188, 19318, 13949, 632, 14, 46806, 14, 2497, 10597, 14, 286, 2497, 4314, 403, 254, 12370, 2779, 274, 4626, 13949, 632, 16, 3699, 27466, 14, 1648, 772, 2080, 328, 254, 27466, 14, 403, 669, 772, 299, 1248, 80, 640, 9, 12370, 2779, 16, 1395, 5041, 417, 282, 889, 772, 12370, 2779, 1269 ]

[ 1, 16, 53, 16, 14428, 311, 669, 628, 27536, 2059, 434, 1840, 16, 771, 2736, 403, 8459, 286, 4075, 276, 529, 16, 53, 16, 8688, 20708, 14, 532, 1544, 254, 2485, 16728, 276, 16396, 14, 695, 4665, 403, 276, 16396, 8688, 16, 380, 16396, 14428, 555, 33334, 1444, 719, 2476, 1385, 254, 529, 16, 53, 16, 14428, 593, 2019, 436, 802, 16, 188, 18057, 3265, 819, 348, 10718, 2269, 286, 4605, 4665, 403, 669, 8256, 27536, 2059, 19775, 2977, 16, 188, 4, 13816, 2418, 4032, 4236, 5299, 14, 248, 20446, 529, 16, 53, 16, 14428, 286, 3175, 2042, 5299, 276, 4806, 819, 348, 16633, 14, 1213, 20734, 286, 12832, 403, 3515, 5251, 254, 1508, 274, 772, 2042, 4988, 286, 17539, 7552, 5861, 928, 749, 771, 570, 16400, 388, 662, 71, 14, 11413, 274, 27536, 2059, 14, 276, 248, 3782, 16, 347, 1212, 1847, 248, 6650, 2490, 276, 772, 2269, 2042, 276, 254, 6815, 6961, 1899, 282, 254, 31127, 274, 772, 1034, 15, 3818, 4092, 15, 4287, 3203, 324, 1575, 6015, 449, 188, 510, 2485, 555, 2956, 11663, 343, 6211, 282, 1336, 3768, 688, 274, 695, 10718, 4665, 14, 345, 749, 16, 188, 27035, 2059, 14, 248, 7626, 274, 20677, 14, 311, 254, 801, 274, 254, 1241, 5793, 3203, 10992, 22041, 282, 1280, 1250, 6961, 19775, 16, 17463, 13367, 3441, 8320, 43415, 314, 6718, 7519, 11, 286, 1928, 12409, 29017, 972, 314, 5367, 37, 11, 403, 1081, 11214, 282, 1280, 19775, 1689, 2065, 16, 0, 16127, 55, 28, 15313, 70, 19, 21, 18, 19, 16, 18, 27, 20, 21, 16, 331, 21605, 28, 32355, 1599, 5610, 14, 5891, 1884, 1781, 16, 309, 3429, 28, 5258, 14, 4064, 12788, 16, 188, 510, 399, 675, 268, 18020, 311, 254, 898, 274, 4064, 12788, 457, 85, 19816, 34256, 609, 286, 1090, 274, 19816, 38729, 16, 380, 12932, 311, 5937, 343, 13871, 15, 17061, 37379, 327, 2706, 272, 758, 32595, 38805, 343, 272, 9839, 11720, 327, 1856, 457, 86, 1315, 368, 1051, 16, 330, 4868, 274, 12816, 286, 3616, 324, 8752, 561, 721, 14, 2758, 1842, 286, 10838, 26483, 16, 0, 4369, 1558, 15, 36, 22493, 12299, 282, 248, 3316, 2752, 36490, 360, 476, 513, 353, 512, 3, 839, 476, 1336, 368, 5053, 254, 1479, 274, 3046, 432, 248, 1062, 1733, 5278, 16, 7560, 1872, 1903, 282, 2960, 441, 343, 633, 3095, 286, 3418, 14, 360, 403, 624, 683, 5058, 282, 1336, 3, 0, 510, 11327, 7479, 1318, 41028, 1186, 10945, 2024, 33441, 1928, 8157, 1322, 276, 1004, 7760, 7847, 3569, 18178, 19851, 274, 27811, 1186, 1091, 4329, 276, 12612, 314, 5213, 581, 8486, 314, 21625, 581, 286, 1569, 265, 314, 5270, 11, 1091, 10047, 942, 713, 248, 1464, 15, 3554, 14291, 2860, 343, 7467, 2740, 16, 188, 11695, 13476, 1186, 6395, 276, 1125, 21662, 286, 1125, 7336, 29, 15823, 286, 39336, 512, 14248, 29, 286, 4279, 2860, 2124, 248, 5081, 274, 7529, 16, 188, 1253, 42813, 248, 11327, 7479, 1318, 41028, 1186, 10945, 17822, 311, 254, 11527, 282, 12374, 9317, 2489, 282, 254, 6901, 6145, 274, 7467, 2740, 276, 512, 19851, 7336, 16, 6971, 19851, 311, 18178, 324, 254, 1162, 274, 743, 2740, 18613, 398, 663, 5982, 24919, 343, 436, 1408, 348, 4475, 276, 8838, 282, 1242, 390, 18923, 613, 615, 5839, 9205, 16, 188, 19330, 6140, 22971, 4797, 282, 633, 24785, 12304, 16, 188, 7639, 513, 417, 4856, 22971, 4797, 282, 380, 6625, 324, 41028, 1186, 16, 0, 20153, 1705, 1400, 276, 338, 27, 27, 23, 286, 1707, 276, 14381, 1509, 16956, 495, 20, 9984, 311, 248, 963, 21997, 286, 7688, 3783, 31557, 2586, 16, 1260, 628, 274, 254, 12409, 73, 6299, 10419, 626, 457, 85, 248, 1157, 2332, 274, 6948, 374, 22, 17, 25, 286, 615, 4612, 2530, 311, 580, 274, 254, 944, 13825, 1444, 16, 380, 3571, 311, 6301, 286, 3148, 368, 872, 311, 3364, 282, 1074, 286, 2525, 11146, 16, 1547, 403, 36785, 286, 10846, 512, 254, 671, 14, 248, 3225, 1596, 311, 254, 40309, 5869, 4589, 830, 368, 476, 915, 254, 3021, 327, 650, 452, 13179, 603, 368, 573, 417, 20009, 286, 4671, 276, 254, 1116, 282, 254, 1577, 286, 8062, 16, 1547, 452, 669, 28079, 615, 14405, 16153, 830, 368, 476, 1012, 5053, 869, 8839, 3486, 14, 21941, 1935, 390, 254, 11814, 16153, 324, 1093, 663, 4370, 254, 5732, 1806, 16, 188, 4119, 282, 495, 20, 9984, 403, 41400, 29068, 1091, 3516, 407, 248, 3065, 330, 328, 248, 2424, 3981, 1689, 282, 254, 2741, 1390, 276, 254, 16153, 16, 41400, 6990, 1563, 327, 633, 17548, 2468, 3425, 633, 2099, 1115, 390, 1920, 7020, 328, 368, 348, 368, 1115, 343, 248, 10989, 27163, 16, 1993, 6990, 452, 2411, 39124, 4489, 286, 248, 1491, 3687, 282, 254, 2896, 16, 188, 21, 20, 9984, 555, 248, 1062, 2196, 3974, 255, 2473, 13153, 14, 670, 368, 6429, 368, 587, 321, 12129, 282, 16790, 21, 18, 18, 18, 276, 743, 4612, 3974, 255, 2473, 85, 16, 4886, 457, 86, 2891, 561, 328, 254, 12699, 16790, 19, 18, 18, 18, 3208, 375, 2020, 8156, 255, 2473, 2828, 328, 254, 338, 297, 6741, 274, 254, 1722, 387, 719, 2534, 5427, 324, 512, 3648, 14, 743, 286, 1668, 14, 663, 452, 16588, 276, 254, 1985, 1722, 16, 188, 510, 9845, 16815, 311, 1012, 597, 282, 370, 19, 18, 18, 18, 16, 496, 1596, 14, 670, 368, 6429, 495, 20, 9984, 14, 368, 587, 321, 12129, 282, 1115, 276, 16790, 21, 18, 18, 18, 4269, 274, 3974, 255, 2473, 85, 1091, 719, 1246, 743, 4612, 16790, 23, 18, 18, 3974, 255, 2473, 85, 2828, 328, 7022, 5057, 10730, 387, 719, 16, 21, 18, 2534, 5427, 16, 3714, 590, 659, 324, 743, 45380, 2408, 248, 7126, 387, 719, 20909, 756, 743, 4612, 42647, 35990, 1004, 343, 272, 2790, 17263, 6191, 274, 16790, 23, 18, 18, 14, 6429, 276, 254, 790, 324, 756, 16790, 19, 16, 19, 18, 328, 7022, 5057, 10730, 387, 890, 16, 18, 18, 2534, 5427, 16, 188, 1934, 1354, 5585, 274, 436, 855, 597, 16815, 274, 597, 282, 370, 19, 18, 18, 18, 811, 4672, 254, 2704, 6626, 14, 1869, 4270, 11935, 14, 348, 368, 1115, 16, 1180, 1033, 370, 19, 276, 1200, 413, 390, 14405, 7914, 368, 6458 ]

[ 1, 15140, 663, 368, 403, 286, 2075, 368, 961, 282, 2960, 729, 16, 839, 587, 4017, 254, 26846, 286, 22516, 254, 2960, 14, 2449, 254, 17305, 18190, 16, 188, 51, 28, 2532, 310, 751, 248, 2243, 1477, 324, 618, 3224, 390, 7626, 33, 188, 35, 28, 1583, 14, 756, 2367, 3516, 2243, 476, 4503, 324, 248, 2243, 1477, 16, 1286, 633, 3224, 14, 1963, 3442, 5441, 282, 751, 3103, 276, 254, 5332, 14, 596, 403, 9845, 282, 6429, 441, 348, 248, 20227, 16, 188, 51, 28, 2532, 310, 513, 3783, 6844, 33, 188, 35, 28, 1822, 3453, 324, 3783, 6844, 403, 10544, 282, 254, 5833, 16, 826, 669, 3672, 2591, 3310, 10972, 1285, 254, 2288, 14, 4501, 1999, 26846, 434, 4631, 14, 2008, 286, 7691, 1508, 16, 8183, 3310, 9073, 403, 11152, 670, 596, 913, 2025, 2288, 3762, 286, 2951, 3468, 282, 8061, 16, 1944, 1318, 16, 679, 16, 188, 51, 28, 2532, 310, 5416, 618, 15486, 33, 188, 7639, 3751, 327, 4293, 282, 9751, 436, 7050, 587, 898, 276, 4181, 5077, 407, 254, 5833, 16, 188, 1212, 587, 872, 633, 2057, 1390, 14, 254, 1844, 368, 2120, 286, 254, 2485, 327, 368, 785, 324, 14, 2049, 248, 2057, 2859, 286, 10969, 1162, 16, 188, 1212, 587, 818, 633, 4139, 282, 772, 5287, 14, 286, 15475, 254, 977, 282, 889, 729, 282, 2960, 368, 4850, 9551, 1122, 14736, 813, 18, 16, 21, 331, 4692, 4487, 23321, 16, 188, 6906, 4139, 587, 417, 321, 900, 324, 665, 642, 6206, 286, 587, 417, 321, 4667, 328, 282, 665, 2543, 4532, 16, 0, 37, 1653, 17847, 18040, 456, 473, 3263, 81, 15, 3911, 15, 17848, 34414, 819, 348, 17899, 1661, 35, 14, 11913, 1661, 35, 286, 367, 1661, 1967, 35, 403, 4081, 41460, 276, 8480, 8831, 286, 15658, 17576, 286, 900, 17652, 276, 29676, 17576, 348, 21384, 324, 248, 5081, 274, 4995, 12518, 16, 496, 15426, 274, 1017, 11367, 14, 367, 1661, 1967, 35, 314, 82, 20270, 15, 3911, 15, 5015, 15, 16938, 15, 12169, 313, 569, 11, 555, 417, 643, 2066, 276, 9526, 11187, 1899, 282, 254, 9916, 276, 254, 22080, 274, 3316, 9101, 16045, 274, 254, 4832, 2080, 960, 5871, 2983, 16, 3583, 1516, 4320, 1308, 8405, 248, 1213, 274, 13178, 367, 1661, 1967, 35, 327, 311, 6141, 286, 1269, 665, 1874, 390, 17936, 17026, 456, 1830, 16, 380, 1213, 8460, 641, 785, 15, 484, 286, 311, 2926, 37818, 11146, 16, 496, 1596, 14, 254, 4733, 671, 286, 785, 15, 484, 1213, 311, 29953, 3652, 432, 254, 5871, 8831, 1308, 16, 188, 2921, 11436, 1583, 16, 26, 14, 24, 23, 26, 14, 26, 20, 27, 347, 6756, 274, 12768, 273, 17847, 18040, 456, 473, 3263, 81, 18040, 258, 553, 10001, 34414, 4, 0, 29397, 25401, 14, 286, 13148, 10152, 34820, 1676, 21396, 21508, 36555, 330, 2220, 311, 5346, 324, 1468, 16480, 24924, 328, 248, 13398, 3596, 16, 188, 35, 11859, 274, 6494, 1574, 282, 40351, 2005, 775, 343, 3893, 15, 442, 1293, 14, 532, 345, 1311, 8775, 3956, 282, 1041, 6933, 324, 254, 32551, 507, 16, 1691, 345, 19185, 276, 1921, 314, 23, 9, 27, 39070, 19, 23, 18, 37338, 581, 345, 2701, 597, 324, 343, 22733, 15, 21397, 9470, 16, 750, 6165, 248, 576, 16, 22, 23, 276, 254, 576, 18, 15, 13146, 19547, 14, 532, 520, 328, 15, 3313, 3759, 311, 624, 13562, 683, 254, 3778, 650, 1002, 15641, 16, 188, 35, 2220, 1503, 321, 248, 4434, 11145, 14, 532, 345, 34766, 4083, 17305, 747, 254, 13907, 47099, 9, 1569, 1843, 251, 26419, 286, 7554, 2341, 32692, 8029, 17839, 8275, 11658, 16, 750, 25766, 1755, 282, 17575, 7042, 14, 286, 345, 6319, 282, 254, 1689, 1245, 348, 248, 3735, 47253, 14815, 11145, 16, 2028, 368, 1602, 775, 668, 520, 2099, 14, 345, 8405, 353, 343, 580, 3056, 16, 188, 4, 28739, 375, 422, 928, 330, 2220, 2225, 16, 347, 43, 811, 513, 254, 1640, 310, 476, 324, 618, 2214, 282, 2023, 14351, 8856, 449, 188, 35, 7213, 561, 282, 13148, 10152, 311, 3202, 324, 512, 6649, 658, 8128, 16, 750, 1503, 321, 2519, 15, 31859, 14, 532, 353, 434, 974, 345, 14523, 520, 2099, 513, 512, 254, 4864, 1037, 395, 353, 434, 10922, 328, 254, 1631, 16, 0, 3294, 1824, 4941, 942, 452, 643, 5182, 286, 248, 1949, 374, 18, 18, 452, 4634, 5651, 276, 31085, 10586, 841, 248, 7891, 721, 2603, 21237, 387, 272, 6689, 28841, 7280, 8256, 5300, 27076, 276, 254, 31108, 24652, 1350, 274, 3566, 285, 443, 3410, 262, 16, 188, 34660, 892, 3574, 88, 12509, 1318, 14, 254, 6828, 8925, 274, 254, 2485, 327, 20552, 254, 7280, 14, 44318, 11715, 14, 749, 756, 580, 15, 18470, 274, 254, 11159, 495, 18, 18, 5655, 387, 254, 2586, 1285, 6612, 457, 85, 14969, 573, 643, 19594, 324, 16, 188, 1590, 510, 8398, 10079, 497, 772, 1193, 5655, 1756, 3574, 88, 12509, 1318, 2117, 248, 3547, 7847, 328, 6612, 7046, 14, 6069, 327, 254, 261, 7751, 258, 830, 1125, 18203, 769, 4101, 13820, 407, 254, 15616, 387, 10864, 2523, 1590, 16, 188, 19751, 500, 1078, 15558, 1625, 14929, 587, 4010, 254, 5709, 2829, 328, 7608, 14, 248, 2142, 17568, 749, 16, 10586, 457, 85, 13435, 8089, 19015, 15474, 323, 455, 266, 369, 2102, 328, 520, 1026, 16, 188, 36, 40643, 14929, 769, 1701, 37523, 254, 1841, 2863, 274, 1464, 666, 286, 369, 8026, 1527, 254, 3979, 14, 17568, 13996, 579, 892, 17542, 3126, 513, 3546, 81, 3904, 2831, 2117, 16352, 16, 188, 17904, 13202, 8841, 807, 321, 2254, 16, 3683, 497, 10783, 343, 2631, 532, 615, 247, 4070, 43952, 1628, 6876, 328, 15616, 16, 188, 1128, 8715, 2214, 432, 254, 43114, 2813, 6752, 5885, 6577, 573, 643, 38219, 282, 254, 8014, 26902, 407, 6612, 457, 85, 2603, 13182, 282, 3533, 254, 4577, 14, 323, 455, 266, 2117, 254, 443, 19, 3547, 4282, 16, 188, 510, 6577, 5828, 254, 13182, 573, 4299, 248, 2945, 40795, 274, 1773, 286, 15616, 14, 2474, 282, 254, 8241, 2866, 81, 11235, 16, 188, 24605, 41498, 497, 38219, 282, 254, 2104, 282, 3083, 324, 942, 276, 16281, 286, 7275, 254, 4172, 274, 254, 12192, 16, 188, 41890, 16669, 6166, 749, 942, 3686, 276, 1656, 15, 2851, 3551, 276 ]

[ 1, 276, 254, 975, 286, 4574, 1649, 276, 28383, 888, 276, 742, 254, 1985, 1096, 687, 343, 254, 37293, 25397, 16, 380, 13139, 55, 311, 4652, 282, 254, 9130, 328, 310, 1141, 399, 19, 23, 16, 4186, 254, 37293, 17, 395, 7045, 8444, 25397, 311, 254, 7045, 8444, 2675, 1438, 597, 282, 254, 7045, 8444, 314, 21434, 11, 597, 407, 254, 3556, 10812, 16, 380, 309, 606, 6199, 4424, 282, 254, 2824, 432, 254, 13139, 55, 2104, 348, 1042, 254, 2374, 3821, 1665, 16, 0, 31286, 317, 311, 248, 13320, 14, 417, 756, 276, 8892, 11008, 2803, 14, 532, 669, 276, 254, 14815, 4992, 1499, 16, 380, 3132, 7525, 317, 24372, 1143, 407, 411, 3231, 311, 272, 7673, 10334, 286, 626, 403, 1012, 9567, 274, 642, 3830, 343, 2013, 4314, 1143, 407, 642, 4273, 1480, 16, 188, 510, 7525, 317, 338, 18, 18, 18, 1143, 407, 411, 3231, 311, 254, 576, 394, 276, 254, 2868, 1143, 407, 436, 2485, 14, 841, 7525, 317, 338, 14, 374, 286, 495, 16, 826, 580, 311, 1062, 2013, 276, 3616, 282, 3830, 747, 32551, 318, 317, 286, 35109, 4270, 14, 343, 254, 842, 1685, 268, 295, 1220, 3616, 274, 1115, 327, 311, 7434, 512, 687, 254, 1499, 16, 188, 9556, 512, 254, 642, 2004, 1685, 268, 1676, 1220, 3830, 14, 7525, 317, 3277, 33297, 4805, 85, 327, 3577, 687, 432, 254, 3835, 295, 1220, 282, 254, 30056, 867, 328, 254, 977, 1116, 1874, 274, 254, 3481, 16, 188, 1516, 311, 580, 274, 254, 1640, 3277, 2378, 286, 353, 4699, 1623, 11967, 670, 368, 915, 374, 14, 495, 390, 1002, 576, 390, 1093, 33297, 274, 4805, 85, 3073, 328, 254, 801, 3481, 16, 380, 3177, 274, 29433, 286, 254, 19785, 18778, 368, 751, 670, 327, 7659, 282, 4955, 311, 9138, 16, 188, 686, 2135, 6309, 15340, 14, 747, 254, 4254, 368, 751, 276, 17574, 14, 11619, 390, 12399, 81, 14, 368, 587, 915, 7525, 317, 338, 18, 18, 18, 3837, 1181, 11362, 16, 731, 434, 417, 348, 4489, 348, 254, 642, 7525, 317, 3830, 14, 532, 368, 587, 1311, 1074, 353, 16, 1664, 403, 641, 1017, 2615, 24372, 9692, 343, 254, 2099, 14, 327, 310, 452, 2254, 14, 532, 310, 650, 417, 321, 9600, 282, 915, 248, 374, 23, 69, 590, 1360, 2629, 9118, 16, 188, 510, 1887, 2115, 668, 254, 16815, 14, 311, 327, 7525, 317, 13830, 403, 2790, 282, 254, 295, 1220, 1033, 671, 368, 4212, 248, 7819, 274, 254, 7525, 317, 13830, 16, 1838, 14, 254, 624, 368, 1115, 254, 624, 7525, 317, 13830, 626, 403, 286, 254, 8522, 254, 14484, 16, 188, 1982, 368, 403, 13109, 2151, 282, 4212, 254, 495, 18, 1903, 26964, 14, 368, 933, 321, 16300, 688, 3837, 7656, 14484, 407, 254, 980, 274, 254, 2099, 14, 348, 626, 587, 321, 8611, 16205, 274, 254, 14352, 317, 13830, 328, 254, 842, 1685, 268, 295, 1220, 16, 188, 1853, 343, 512, 254, 642, 2004, 1685, 268, 1676, 1220, 3830, 14, 254, 7525, 317, 338, 18, 18, 18, 14815, 555, 248, 1903, 26964, 16815, 16, 1395, 751, 248, 4688, 282, 3223, 869, 338, 18, 286, 374, 18, 1903, 26964, 14, 7100, 328, 843, 1125, 274, 254, 16815, 13830, 368, 751, 286, 669, 14, 254, 9619, 4688, 590, 5348, 311, 1181, 1755, 276, 254, 16815, 14, 683, 353, 311, 276, 3835, 1115, 16, 0, 510, 2485, 457, 85, 5574, 4236, 1848, 457, 86, 7858, 963, 282, 254, 3547, 14, 18216, 348, 1181, 348, 576, 16, 24, 7, 328, 6612, 16, 1268, 353, 3032, 348, 2101, 1125, 12591, 403, 5651, 254, 1491, 2835, 276, 24622, 457, 85, 19775, 28, 5060, 29620, 3017, 16, 188, 2686, 457, 85, 974, 5060, 3017, 587, 321, 248, 2165, 6082, 324, 24622, 457, 85, 4671, 25559, 274, 254, 17837, 3379, 4351, 276, 254, 2764, 16, 1223, 603, 353, 11055, 695, 1615, 13494, 597, 14, 353, 933, 321, 963, 15042, 324, 254, 254, 2764, 16, 188, 6942, 282, 16158, 468, 500, 2755, 1376, 457, 85, 6105, 47848, 286, 712, 1891, 10484, 14, 11159, 719, 18, 7, 274, 8349, 15, 13679, 529, 16, 53, 16, 17772, 14, 532, 811, 338, 23, 7, 274, 254, 5060, 2703, 16, 826, 311, 4214, 254, 5793, 3017, 4954, 324, 254, 2485, 14, 348, 353, 457, 85, 21506, 276, 254, 529, 16, 53, 16, 13805, 695, 5087, 16, 188, 8467, 21220, 311, 4250, 2066, 276, 338, 27, 18, 4203, 14, 532, 2427, 457, 86, 811, 3831, 529, 16, 53, 8408, 5989, 10435, 282, 695, 5060, 28156, 29, 353, 669, 5961, 2636, 286, 11021, 324, 28156, 276, 1004, 2829, 16, 380, 2485, 14, 2228, 14, 2427, 457, 86, 452, 248, 3252, 276, 4002, 14, 533, 2034, 353, 457, 85, 5651, 561, 328, 248, 7656, 2703, 16, 188, 16347, 14, 24622, 555, 3136, 2151, 2244, 282, 1709, 11054, 276, 254, 1499, 14, 286, 353, 457, 85, 18064, 327, 353, 311, 624, 683, 6845, 274, 2430, 593, 16, 188, 22111, 2525, 3017, 3432, 457, 86, 254, 756, 1619, 24622, 476, 818, 282, 695, 4853, 1360, 16, 1286, 254, 2785, 265, 4733, 282, 254, 2485, 457, 85, 3225, 14, 22711, 16001, 14, 4236, 5299, 403, 665, 13629, 14, 24622, 807, 4045, 348, 1181, 348, 370, 19, 23, 16, 23, 18, 590, 1722, 324, 248, 2546, 21074, 14, 4250, 32227, 387, 370, 19, 21, 14, 1269, 1181, 2443, 14, 2474, 282, 16158, 468, 500, 2755, 1376, 16, 188, 1843, 343, 14670, 745, 27165, 4250, 6876, 387, 370, 19, 24, 590, 1722, 14, 353, 457, 85, 417, 561, 274, 254, 19352, 274, 6215, 327, 24622, 807, 6350, 4045, 370, 20, 18, 590, 1722, 324, 254, 3621, 282, 5379, 576, 45, 2517, 276, 254, 2764, 16, 188, 15309, 9104, 274, 5299, 403, 1438, 282, 7353, 624, 1726, 348, 254, 2485, 7583, 282, 8012, 939, 7732, 348, 353, 20534, 597, 695, 3132, 2636, 286, 11021, 16, 0, 1516, 5230, 27006, 1044, 555, 248, 14452, 27861, 21915, 343, 14452, 20033, 328, 353, 16, 188, 14028, 633, 1305, 274, 5818, 2832, 11570, 407, 9150, 436, 36746, 27006, 1044, 16, 188, 27750, 286, 29166, 1903, 343, 248, 5167, 40155, 10751, 2877, 42975, 38182, 16, 0, 510, 354, 4730, 1472, 9956, 6054, 561, 276, 374, 18, 19, 24, 348, 1129 ]

[ 1, 310, 1328, 1438, 282, 321, 2876, 618, 331, 10303, 276, 668, 248, 2065, 16, 33432, 10812, 16, 1691, 1921, 311, 353, 33, 1223, 748, 10377, 403, 368, 3400, 33, 188, 7849, 16, 11421, 276, 30204, 403, 1247, 16, 11660, 5193, 3233, 16, 310, 1038, 625, 865, 2075, 532, 596, 403, 618, 7383, 276, 30204, 16, 310, 452, 248, 1603, 755, 377, 691, 564, 34099, 1480, 16, 1547, 403, 3673, 16716, 2101, 593, 310, 1038, 625, 915, 729, 2156, 16, 188, 7849, 16, 731, 311, 338, 20, 18, 40943, 286, 254, 10377, 403, 374, 23, 18, 411, 1559, 338, 22, 77, 27270, 14054, 504, 16, 188, 57, 4151, 3, 327, 311, 248, 22794, 10812, 14, 286, 688, 1623, 5230, 276, 30204, 1480, 14, 368, 933, 321, 1062, 9714, 16, 5066, 7158, 38913, 3, 310, 1328, 29596, 310, 573, 248, 13339, 10812, 747, 327, 3, 0, 35221, 9740, 274, 20916, 3452, 3284, 286, 6786, 16, 16658, 274, 3956, 327, 403, 900, 282, 3178, 529, 16, 53, 16, 3206, 35630, 286, 29745, 12002, 14, 348, 963, 348, 21527, 16, 6236, 5962, 1090, 14, 587, 2683, 328, 3812, 17604, 16, 6175, 2630, 274, 2211, 15773, 282, 10278, 274, 7150, 33603, 1444, 254, 1499, 16, 21041, 587, 1263, 615, 1193, 931, 14, 3106, 14, 286, 42198, 324, 3452, 4719, 16, 5564, 1792, 45206, 28, 495, 18, 18, 1245, 2211, 276, 254, 745, 3313, 348, 963, 348, 512, 2025, 5925, 276, 254, 2135, 28, 31327, 3930, 43, 338, 18, 20, 14, 31327, 3930, 43, 338, 25, 23, 14, 286, 3789, 35, 338, 18, 19, 16, 2514, 2211, 1209, 495, 4934, 16, 0, 9556, 944, 47009, 310, 457, 79, 272, 45076, 8288, 472, 255, 274, 36395, 14, 343, 254, 2790, 16815, 274, 16580, 432, 618, 3326, 8352, 85, 348, 963, 348, 14696, 310, 457, 307, 11268, 16, 310, 457, 79, 1311, 248, 7779, 14, 417, 5938, 248, 26842, 11176, 1269, 254, 1362, 457, 85, 769, 22750, 71, 6423, 188, 3269, 248, 13003, 390, 593, 10299, 328, 248, 2869, 2643, 7724, 1175, 1044, 286, 10334, 32967, 6247, 819, 348, 13254, 5232, 14, 15572, 16286, 390, 321, 322, 251, 40459, 854, 3330, 7580, 328, 633, 1175, 1044, 35180, 14, 310, 2156, 1218, 353, 260, 382, 2830, 343, 254, 3409, 327, 436, 10334, 4277, 1723, 587, 2304, 624, 1074, 695, 1026, 713, 9535, 16, 188, 2300, 15100, 360, 457, 619, 24367, 6298, 836, 16637, 282, 1741, 12581, 772, 1615, 8680, 14, 1629, 268, 4570, 6167, 14, 7724, 6998, 252, 2200, 286, 1396, 18515, 26378, 5304, 512, 2328, 3225, 18121, 16, 380, 17869, 286, 17826, 311, 1845, 248, 1519, 14, 353, 457, 85, 747, 26744, 2902, 272, 1668, 3224, 3, 4539, 2211, 360, 587, 1845, 1574, 282, 4829, 877, 729, 5612, 14, 2101, 17246, 360, 3191, 1972, 282, 254, 20183, 286, 20554, 274, 10334, 20133, 2641, 1297, 16637, 16, 188, 1516, 1722, 457, 85, 10859, 610, 27057, 311, 14584, 343, 4805, 16936, 14, 593, 23288, 327, 944, 4829, 270, 325, 274, 48071, 324, 633, 2653, 3, 310, 457, 79, 417, 248, 7779, 274, 30449, 254, 21207, 1048, 5646, 14, 310, 1339, 11168, 16, 310, 785, 328, 254, 3596, 327, 603, 2626, 1903, 311, 417, 4269, 1851, 286, 1125, 274, 254, 624, 25695, 26556, 286, 40090, 403, 328, 254, 8680, 974, 254, 3471, 4576, 348, 9799, 282, 39024, 274, 2626, 16, 1678, 603, 368, 1663, 2362, 254, 269, 1891, 291, 40453, 274, 16936, 10341, 835, 1041, 2056, 368, 9328, 353, 597, 16, 1260, 343, 1125, 1247, 19653, 274, 254, 4829, 1499, 14, 512, 15857, 274, 942, 1703, 282, 452, 22456, 254, 11295, 29, 748, 457, 85, 417, 276, 11704, 311, 327, 353, 369, 254, 1062, 801, 43274, 11176, 282, 321, 5740, 407, 45078, 286, 25974, 16, 1260, 310, 1845, 1309, 14, 1247, 2653, 1582, 4424, 561, 274, 7928, 286, 3217, 436, 713, 2470, 343, 254, 801, 274, 35843, 457, 85, 348, 1131, 36802, 348, 272, 10083, 2029, 16, 188, 20, 3467, 294, 254, 7435, 286, 1619, 276, 248, 3096, 274, 24488, 1773, 16, 3635, 951, 324, 1694, 2819, 14, 835, 22195, 758, 5252, 3400, 1773, 16, 188, 22, 3467, 294, 254, 16936, 38898, 16, 188, 26, 5568, 254, 17020, 16936, 10341, 314, 264, 603, 28320, 889, 248, 1157, 11859, 274, 6333, 10341, 37463, 481, 188, 27, 5568, 254, 17020, 18083, 1164, 383, 16, 188, 19, 18, 5568, 254, 18083, 14308, 16, 188, 19, 19, 21660, 254, 10109, 963, 16, 188, 19, 20, 20860, 713, 769, 13106, 9109, 81, 14614, 6423, 13103, 276, 254, 37496, 16, 188, 19, 21, 10068, 248, 32475, 713, 254, 10859, 25095, 16, 188, 19, 22, 35581, 276, 254, 10109, 16, 188, 19, 23, 10046, 315, 11939, 254, 10859, 5818, 16, 188, 19, 24, 10974, 939, 254, 20085, 7047, 16, 188, 19, 25, 2552, 1477, 939, 254, 1497, 3445, 14, 17246, 254, 10859, 311, 4196, 18632, 16, 188, 19, 26, 9006, 38098, 276, 7744, 6299, 10109, 16, 188, 19, 27, 47600, 670, 254, 10859, 555, 8293, 265, 286, 3906, 282, 4277, 276, 248, 637, 15, 47855, 338, 26, 18, 37, 17, 41813, 4597, 576, 324, 374, 23, 2819, 16, 188, 20, 18, 33863, 12581, 254, 348, 1131, 36802, 16, 0, 7639, 1218, 436, 825, 9012, 286, 321, 6425, 327, 407, 40226, 324, 286, 14874, 276, 254, 374, 18, 19, 27, 418, 322, 542, 18823, 6882, 79, 793, 552, 25805, 314, 779, 769, 1731, 19085, 27472, 368, 587, 321, 5019, 2113, 633, 3453, 282, 512, 3790, 324, 9228, 368, 1503, 9996, 14080, 561, 274, 633, 11186, 276, 254, 25805, 286, 368, 587, 321, 2347, 282, 29792, 1392, 14, 2120, 24533, 286, 2270, 418, 322, 542, 18823, 15723, 286, 695, 33150, 390, 27312, 324, 665, 3790, 14080, 561, 274, 11186, 276, 254, 25805, 16, 188, 686, 254, 2288, 274, 665, 8715, 14, 310, 5041, 327, 310, 587, 321, 5346, 324, 7624, 274, 665, 286, 512, 3615, 3134, 13326, 16, 188, 43, 452, 1218, 286, 4603, 2033, 286, 5041, 282, 254, 1788, 36097, 386, 7968, 1402, 411, 17862, 286, 20828, 28401, 1391, 13908, 16, 0, 510, 42981, 11107, 41162, 311, 248, 26607, 2133, 274, 13373, 327, 452, 6493, 1013, 615, 8114, 3327, 17880, 16, 19157, 14, 626, 403, 338, 27, 13373, 457, 17880, 276, 254 ]

[ 1, 41144, 15, 22983, 16, 473, 3663, 587, 417, 321, 3468, 14025, 1096, 10448, 85, 14, 532, 254, 3442, 10611, 675, 311, 248, 1247, 1619, 282, 2035, 580, 3, 3006, 328, 254, 10611, 675, 33, 9720, 561, 624, 1045, 14, 390, 4436, 441, 387, 473, 3663, 34, 525, 265, 319, 16, 2000, 16, 188, 18780, 274, 15001, 11775, 1460, 286, 3588, 16, 188, 29234, 20399, 338, 16, 23, 6400, 432, 254, 7847, 18231, 14, 254, 34992, 43475, 311, 8920, 473, 3663, 272, 2288, 2210, 327, 476, 321, 31174, 407, 1045, 28, 15001, 2953, 2414, 6928, 33638, 12048, 390, 407, 6607, 338, 15, 26, 18, 18, 15, 22, 22, 23, 15, 26, 24, 24, 25, 286, 43187, 254, 2063, 769, 38792, 6423, 188, 27302, 683, 248, 13537, 432, 254, 1533, 2079, 286, 977, 742, 274, 13416, 16, 188, 10296, 248, 13537, 432, 254, 1533, 2079, 286, 977, 328, 13416, 16, 188, 38792, 587, 321, 39289, 248, 1581, 274, 2672, 276, 254, 3564, 34992, 2104, 663, 403, 7183, 282, 3064, 12304, 4863, 16, 7560, 4436, 441, 387, 473, 3663, 34, 1347, 1290, 2414, 16, 2000, 603, 368, 650, 747, 282, 1074, 248, 1683, 15, 38118, 390, 403, 5940, 276, 18796, 16, 188, 8274, 28, 473, 3663, 1042, 417, 4523, 390, 8967, 1683, 15, 297, 696, 14, 532, 587, 2023, 15146, 2960, 1460, 593, 327, 4153, 476, 1041, 615, 1193, 16209, 16, 0, 17385, 1764, 311, 248, 24778, 830, 28521, 447, 403, 3400, 432, 314, 250, 22066, 11, 8882, 85, 16, 731, 311, 248, 2875, 24778, 343, 248, 18599, 14, 368, 872, 282, 4432, 254, 4609, 274, 254, 26358, 1063, 254, 6738, 16, 5523, 2245, 282, 4045, 254, 6738, 286, 3603, 282, 6738, 16, 34942, 12431, 286, 1574, 282, 3570, 38876, 16, 188, 1853, 274, 1012, 3148, 2893, 16, 1664, 403, 4372, 3133, 343, 11731, 532, 2631, 1623, 2978, 16, 188, 37868, 310, 587, 321, 47502, 34837, 324, 1015, 13130, 16, 0, 6709, 521, 2556, 16180, 373, 750, 43543, 4117, 14, 367, 26281, 2633, 3399, 14, 44660, 2633, 3399, 1091, 4906, 254, 1640, 12968, 1045, 16, 188, 3530, 756, 311, 416, 706, 323, 16180, 251, 286, 16769, 248, 11888, 44467, 5883, 24579, 255, 14, 532, 360, 457, 251, 669, 248, 4603, 13128, 31961, 25068, 21890, 14, 5123, 416, 22667, 14, 43347, 25068, 14, 9278, 41398, 14, 16579, 14003, 5247, 14, 22883, 25068, 14, 5717, 286, 2135, 2336, 3199, 1272, 11415, 14, 20760, 286, 13030, 25068, 14, 282, 3831, 248, 2057, 4807, 8478, 2497, 16, 1260, 248, 4603, 2410, 1659, 17968, 23071, 324, 953, 373, 286, 8425, 25068, 14, 360, 1354, 1247, 15125, 276, 772, 785, 42187, 14, 286, 772, 2705, 4343, 441, 282, 11882, 254, 1017, 3184, 274, 772, 785, 42187, 16, 3699, 11146, 4602, 403, 1845, 5058, 282, 2023, 615, 6311, 7338, 14, 37757, 14, 286, 2497, 16, 839, 3831, 3746, 17968, 953, 251, 3134, 324, 22868, 286, 4273, 14, 286, 360, 403, 4603, 13128, 286, 17511, 282, 1336, 633, 2072, 14, 641, 2563, 254, 2042, 16, 188, 3294, 416, 706, 323, 16180, 251, 286, 16769, 248, 11888, 44467, 5883, 24579, 255, 14, 368, 476, 4349, 30507, 18272, 14, 32397, 3115, 530, 14, 378, 72, 6901, 5800, 14, 32665, 14, 11888, 44467, 14, 48097, 258, 14, 6901, 2823, 14, 33255, 644, 14, 45927, 1647, 14, 7695, 90, 262, 14, 7695, 40452, 14, 34243, 258, 14, 8443, 9960, 14, 16368, 250, 14, 367, 602, 24814, 14, 22460, 81, 14, 1472, 1433, 286, 642, 2135, 17236, 16, 188, 7658, 1860, 9720, 6110, 2916, 314, 18, 21, 11, 890, 22, 23, 27, 495, 21, 26, 24, 16, 188, 52, 706, 323, 16180, 251, 286, 16769, 2023, 418, 4151, 23643, 4236, 328, 16180, 373, 286, 452, 643, 5123, 3184, 2497, 282, 254, 1922, 3551, 1648, 750, 43543, 14, 11635, 8810, 14, 42371, 14, 5438, 283, 352, 14, 19960, 12131, 14, 25210, 1832, 67, 14, 20921, 570, 14, 8939, 17201, 14, 26506, 31616, 14, 2147, 675, 9038, 14, 12927, 16348, 14, 12776, 4762, 14, 32095, 23860, 14, 12420, 3313, 286, 642, 8476, 34477, 16, 188, 20426, 416, 706, 323, 16180, 251, 286, 16769, 248, 11888, 44467, 5883, 24579, 255, 1012, 328, 314, 18, 21, 11, 890, 22, 23, 27, 495, 21, 26, 24, 390, 4010, 772, 4513, 314, 24, 25, 21, 9938, 21908, 21118, 14, 750, 43543, 4117, 1091, 655, 1811, 495, 18, 26, 19, 11, 282, 1806, 248, 1887, 5278, 274, 1708, 3184, 16180, 373, 276, 750, 43543, 4117, 387, 40558, 7702, 16, 188, 6906, 953, 373, 403, 1845, 758, 3941, 16, 12033, 353, 311, 10344, 343, 19436, 1720, 14, 269, 832, 3715, 14, 29816, 3843, 9173, 390, 1002, 1093, 1612, 12100, 28890, 327, 28612, 77, 1444, 254, 6956, 16, 1822, 274, 836, 3483, 476, 2730, 254, 1464, 15, 2469, 274, 953, 373, 16, 188, 2943, 368, 4349, 665, 11888, 44467, 390, 6901, 2823, 39687, 953, 251, 432, 248, 11888, 44467, 5883, 24579, 255, 368, 476, 751, 5885, 1385, 2110, 3395, 274, 4577, 432, 348, 1612, 348, 370, 19, 20, 590, 576, 13682, 953, 251, 16, 188, 13655, 1090, 274, 1903, 43347, 25068, 16, 188, 1982, 633, 953, 251, 311, 5709, 407, 665, 274, 836, 2435, 14, 835, 360, 457, 619, 4793, 248, 5247, 953, 251, 324, 368, 286, 368, 457, 619, 756, 452, 282, 2014, 324, 254, 2332, 274, 28111, 368, 457, 307, 900, 16, 1838, 324, 1610, 14, 603, 633, 3132, 953, 251, 457, 85, 28111, 311, 756, 338, 18, 7, 274, 254, 2042, 324, 248, 4196, 743, 953, 251, 16, 839, 457, 619, 1002, 4842, 665, 17231, 8478, 494, 43347, 324, 1903, 324, 254, 2560, 1464, 274, 254, 953, 251, 16, 188, 23954, 596, 403, 15880, 282, 254, 5758, 4181, 28111, 6682, 14, 37833, 6457, 801, 16, 188, 1253, 403, 416, 706, 323, 16180, 251, 286, 16769, 457, 85, 5742, 2942, 33, 0, 1516, 369, 248, 1247, 1218, 16, 5650, 1897, 4003, 479, 282, 1949, 7275, 830, 310, 715, 276, 1464, 286, 830, 310, 961, 282, 563, 16, 188, 510, 6490, 3591, 748, 254, 1897, 807, 1563, 282, 1004, 1408, 14, 348, 963, 348, 1015, 3956, 282, 997, 387, 729, 16, 188, 1516, 369, 272, 28795, 1218, 16, 188, 1843, 368, 403, 593, 1062, 977, 16, 12128 ]

[ 1, 282, 1263, 254, 15350, 1114, 16, 380, 37379, 497, 835, 11154, 276, 19416, 578, 286, 36787, 267, 255, 314, 44207, 11799, 274, 2878, 11671, 276, 17055, 285, 14243, 481, 3683, 274, 729, 452, 25047, 533, 452, 597, 282, 338, 20, 1015, 21607, 314, 3066, 328, 772, 2479, 432, 254, 15621, 30384, 286, 348, 1125, 8115, 573, 282, 321, 1116, 35764, 282, 4962, 254, 1040, 11, 1205, 254, 4331, 15, 74, 2044, 458, 249, 363, 5804, 22068, 497, 1707, 328, 688, 338, 24, 394, 5174, 3415, 4086, 1531, 387, 254, 15776, 706, 17731, 10746, 276, 4549, 16, 1664, 311, 248, 2187, 274, 2471, 33095, 319, 328, 254, 11154, 2426, 3102, 14, 533, 497, 35515, 343, 935, 83, 15837, 15837, 313, 286, 5732, 31755, 1310, 447, 819, 348, 279, 2700, 413, 15837, 15837, 313, 16, 188, 2275, 1125, 36210, 852, 368, 2706, 324, 1004, 1839, 33, 188, 1212, 497, 8869, 24404, 274, 843, 254, 2986, 4351, 2893, 670, 353, 3144, 282, 36210, 7162, 360, 2144, 328, 4310, 1111, 27501, 327, 311, 748, 2234, 25293, 507, 8722, 29955, 2980, 670, 345, 685, 9109, 276, 743, 12464, 747, 441, 16, 6236, 254, 3196, 5831, 27798, 345, 4713, 265, 441, 327, 869, 254, 1241, 1964, 5645, 360, 650, 872, 282, 1663, 597, 343, 687, 248, 4150, 4313, 286, 327, 1004, 997, 573, 282, 321, 9441, 1726, 348, 353, 650, 4702, 327, 1748, 2687, 274, 254, 43020, 14, 593, 360, 573, 282, 1862, 772, 1640, 282, 1004, 16, 1838, 254, 2479, 1213, 324, 1004, 1839, 369, 9441, 6813, 286, 16712, 16, 380, 1964, 5527, 369, 282, 2706, 1241, 1015, 4313, 432, 254, 2114, 327, 11088, 1241, 1015, 25154, 16, 380, 4313, 669, 573, 282, 321, 248, 1408, 1823, 274, 1004, 1839, 434, 12442, 8566, 1915, 327, 650, 867, 729, 7224, 276, 254, 2836, 274, 254, 8223, 286, 387, 254, 1057, 671, 321, 276, 19722, 343, 254, 14115, 286, 1336, 1354, 254, 2835, 3461, 16, 188, 2275, 3138, 273, 248, 4686, 6131, 311, 4852, 46161, 2009, 7689, 25293, 507, 8722, 33, 20306, 272, 43871, 1548, 274, 633, 2705, 274, 2367, 343, 775, 16, 188, 31032, 343, 2234, 25293, 507, 8722, 555, 643, 272, 6508, 38113, 1036, 2705, 324, 441, 16, 750, 311, 248, 6131, 274, 520, 10786, 286, 248, 25932, 382, 343, 248, 1247, 4977, 324, 2429, 16, 731, 369, 20369, 843, 254, 5645, 345, 43135, 3285, 1491, 942, 663, 360, 7798, 265, 343, 328, 254, 5085, 1111, 910, 432, 772, 801, 4654, 14, 533, 3416, 713, 272, 1571, 409, 431, 87, 997, 1056, 343, 688, 29840, 2426, 3102, 327, 360, 573, 4674, 1111, 927, 254, 3196, 2479, 3298, 14, 282, 254, 13757, 9150, 254, 4445, 36210, 16, 750, 555, 248, 9138, 1026, 274, 28642, 834, 254, 6508, 6813, 286, 22223, 476, 88, 1151, 345, 555, 43135, 328, 3481, 16, 5650, 26245, 327, 360, 3446, 4315, 1726, 286, 272, 4954, 324, 441, 282, 3437, 641, 8577, 440, 27330, 16, 2936, 276, 15, 16257, 3520, 286, 2479, 328, 254, 2114, 4307, 254, 9347, 533, 360, 3444, 1205, 5983, 1004, 997, 16, 188, 2943, 286, 843, 852, 368, 751, 254, 19660, 79, 579, 8431, 2133, 33, 1691, 369, 633, 4733, 670, 368, 3611, 327, 368, 650, 321, 2430, 254, 2986, 33, 188, 1212, 452, 4168, 343, 1125, 12515, 17018, 276, 254, 2391, 16, 5066, 14, 2006, 274, 772, 1985, 17880, 573, 643, 11479, 407, 2391, 12515, 924, 348, 963, 348, 6974, 18003, 22482, 432, 254, 2504, 14, 27390, 2624, 4661, 819, 348, 254, 610, 1936, 588, 15, 37761, 384, 3393, 286, 2739, 297, 5880, 3391, 599, 2957, 274, 46694, 14, 3904, 16966, 14, 20922, 531, 322, 286, 610, 759, 605, 275, 74, 16, 2234, 25293, 507, 8722, 1339, 452, 2584, 4226, 274, 688, 274, 254, 2893, 286, 327, 457, 85, 843, 14, 360, 1872, 14, 360, 1652, 248, 1052, 432, 775, 16, 21256, 343, 775, 555, 643, 254, 6287, 4569, 2705, 360, 807, 452, 1663, 2362, 16, 731, 311, 15948, 348, 345, 311, 272, 8620, 276, 2900, 16, 750, 555, 6344, 441, 1419, 307, 12507, 713, 772, 10786, 16, 1180, 254, 801, 1241, 2524, 14, 345, 811, 2263, 441, 939, 254, 5831, 286, 3419, 441, 2194, 6995, 282, 513, 772, 2479, 286, 2464, 441, 282, 4149, 282, 254, 2107, 4661, 2815, 282, 254, 6268, 14, 4010, 32775, 282, 4672, 5281, 286, 997, 713, 2624, 18055, 288, 11804, 274, 16807, 5703, 16, 188, 1368, 573, 641, 2705, 276, 19859, 36210, 324, 248, 2986, 1063, 436, 16, 1334, 1837, 369, 353, 282, 5176, 38647, 33, 188, 1853, 21815, 14, 360, 452, 1845, 1663, 597, 343, 17880, 327, 452, 248, 2835, 282, 1970, 16, 1664, 311, 248, 26365, 474, 12529, 327, 6209, 2645, 254, 2150, 1213, 14, 533, 311, 35515, 343, 17593, 1186, 286, 18514, 31640, 16, 21256, 328, 248, 2133, 747, 436, 311, 3136, 10840, 348, 254, 9749, 452, 282, 3217, 282, 1464, 254, 40568, 274, 836, 9243, 8219, 14, 254, 8698, 15731, 348, 963, 348, 11530, 254, 38755, 274, 327, 2114, 16, 18234, 747, 2367, 328, 248, 30243, 459, 4698, 14, 836, 5645, 452, 2411, 772, 1892, 266, 286, 254, 2774, 1213, 555, 1628, 272, 797, 294, 909, 1579, 328, 772, 1193, 10828, 23832, 16, 188, 510, 1213, 274, 5983, 254, 36210, 324, 254, 2133, 555, 643, 274, 3518, 5442, 14, 248, 743, 4569, 2705, 1033, 1362, 16, 731, 369, 4576, 282, 915, 843, 772, 12713, 274, 14164, 276, 9749, 555, 669, 28474, 248, 1767, 1205, 2367, 328, 254, 2133, 29, 843, 387, 2008, 769, 1391, 311, 624, 666, 1635, 254, 2687, 276, 254, 43020, 390, 769, 2965, 311, 1637, 29, 666, 843, 2624, 3483, 872, 282, 321, 35515, 324, 248, 27889, 422, 997, 327, 311, 276, 19722, 343, 254, 6251, 457, 85, 7899, 16, 188, 1368, 452, 1953, 1822, 5195, 22612, 15418, 301, 7809, 9150, 270, 2175, 286, 15819, 14, 5562, 29445, 452, 34657, 327, 345, 369, 272, 17565, 249, 442, 663, 900, 282, 8033, 3901, 23718, 786, 16, 1691, 311, 633, 4733, 282, 436, 4045, 33, 188, 1212, 2980, 282, 2706, 254, 997, 274, 272, 24344, 5054, 23128, 650, 4316, 324, 248, 1034, 671, 282, 1663, 2778, 267, 25986, 15142, 23880, 1839, 663, 321, 25151, 2234, 25293, 507, 8722, 434, 4785 ]

[ 1, 390, 593, 14, 345, 1102, 248, 3029, 1337, 16106, 9339, 1963, 1045, 276, 21445, 16, 380, 2560, 1963, 17413, 2292, 276, 248, 1241, 5808, 22223, 913, 15336, 10727, 4797, 432, 512, 687, 254, 3029, 1337, 16106, 18172, 432, 289, 3507, 282, 3183, 34664, 16, 31084, 17682, 18668, 11506, 14, 254, 44987, 274, 254, 1963, 14, 286, 25361, 775, 282, 1041, 775, 248, 743, 3183, 12446, 16, 18668, 11506, 4024, 286, 3446, 272, 13940, 12446, 14, 286, 669, 12129, 441, 282, 248, 2057, 3029, 1337, 16106, 3616, 2453, 1234, 1422, 387, 520, 32781, 2342, 8266, 1454, 542, 84, 3955, 286, 1062, 9693, 322, 3955, 4301, 276, 254, 19040, 274, 21445, 14, 11321, 16, 380, 2453, 1234, 1422, 369, 31867, 14, 2057, 274, 4805, 419, 1228, 321, 1896, 4411, 942, 274, 512, 11559, 14, 67, 38943, 343, 20550, 25692, 1312, 274, 10270, 286, 20541, 19357, 286, 13216, 81, 5076, 867, 597, 276, 254, 11485, 830, 18668, 11506, 10238, 3183, 3573, 1604, 286, 17767, 32331, 266, 254, 9323, 286, 45194, 327, 1041, 597, 520, 22012, 913, 16, 310, 452, 643, 14306, 282, 1574, 13216, 81, 5076, 1544, 310, 1218, 5330, 10645, 858, 264, 457, 85, 21411, 14, 593, 324, 327, 1865, 3690, 310, 369, 29523, 282, 7829, 254, 2453, 1234, 1422, 16, 188, 1130, 311, 248, 1247, 8901, 282, 321, 2041, 282, 6761, 671, 343, 942, 432, 31842, 1015, 10762, 14, 286, 310, 715, 593, 14047, 327, 360, 403, 2041, 282, 1041, 10022, 286, 3732, 432, 512, 687, 254, 1499, 16, 443, 18106, 597, 276, 11089, 15128, 14, 360, 497, 13109, 282, 452, 248, 1247, 4458, 343, 254, 388, 32063, 3015, 432, 3779, 375, 16, 2666, 16068, 24030, 580, 1963, 14, 286, 4075, 28424, 282, 254, 3015, 387, 1733, 16, 39676, 594, 14, 254, 2653, 11399, 311, 12129, 282, 254, 31307, 14, 593, 310, 452, 24058, 12604, 274, 15910, 4532, 343, 25692, 1312, 274, 2653, 276, 24058, 9569, 15, 10572, 274, 9060, 8895, 286, 40535, 40386, 6592, 12028, 14, 8869, 5475, 282, 618, 6217, 5279, 15128, 13636, 16, 310, 3657, 4316, 16068, 6134, 248, 1450, 286, 248, 2630, 1788, 254, 13204, 274, 254, 1515, 274, 254, 9287, 16, 310, 715, 14047, 282, 321, 6841, 282, 248, 636, 663, 669, 24283, 248, 4474, 5081, 274, 21808, 6112, 286, 254, 3621, 282, 3858, 561, 286, 4540, 343, 4576, 942, 286, 3284, 16, 188, 1516, 2391, 8621, 360, 11298, 254, 3561, 19364, 14965, 14550, 14, 830, 18668, 11506, 286, 520, 1963, 497, 4610, 597, 282, 1323, 615, 913, 16, 188, 510, 3561, 19364, 14965, 900, 282, 321, 248, 9927, 5339, 15, 276, 948, 14, 387, 580, 1110, 353, 369, 628, 274, 254, 1250, 6081, 16165, 13892, 276, 254, 1924, 16, 496, 254, 4122, 338, 27, 26, 18, 457, 85, 254, 5339, 369, 8649, 561, 274, 2072, 407, 10849, 5475, 26300, 14, 1017, 5145, 4665, 14, 286, 35372, 6326, 16, 1993, 1842, 14, 841, 248, 1247, 2874, 274, 1321, 2958, 488, 8627, 286, 10344, 286, 688, 3960, 6752, 33423, 14, 254, 3326, 5339, 311, 254, 2586, 274, 248, 7656, 4331, 15, 23773, 14428, 3780, 17, 1203, 646, 17, 1025, 81, 17, 291, 1653, 420, 2488, 276, 254, 1427, 23734, 3616, 16, 188, 2432, 311, 248, 7656, 8766, 9658, 2488, 343, 45829, 35633, 276, 286, 561, 911, 21631, 7356, 315, 14, 2371, 25960, 11444, 17418, 14, 4474, 9982, 413, 494, 9931, 2057, 274, 448, 281, 23167, 4480, 286, 26455, 91, 5762, 14696, 16, 1997, 2286, 254, 9931, 403, 14584, 343, 1770, 276, 3406, 9109, 14452, 31437, 286, 2185, 343, 7161, 4800, 8012, 8128, 286, 1017, 24468, 16, 1286, 368, 403, 13227, 286, 276, 21445, 314, 395, 417, 1480, 40535, 12928, 32270, 11, 353, 311, 3989, 2692, 327, 368, 587, 1074, 4684, 387, 254, 3561, 19364, 14965, 16, 10948, 368, 650, 747, 282, 915, 248, 6268, 33, 2141, 811, 45095, 254, 5342, 274, 27150, 9927, 276, 254, 1464, 274, 21445, 16, 188, 1212, 497, 626, 282, 915, 254, 3029, 36455, 2380, 14, 532, 353, 369, 248, 783, 1345, 5198, 3396, 1362, 324, 248, 15913, 14, 286, 801, 360, 2961, 282, 4344, 742, 16, 1691, 743, 9839, 2363, 311, 3316, 1269, 248, 9230, 4467, 8745, 33, 188, 4412, 254, 9629, 6571, 10494, 14, 360, 12506, 324, 254, 13713, 5439, 35429, 276, 254, 4617, 274, 254, 6106, 16, 188, 1931, 4400, 5342, 265, 713, 248, 1350, 274, 4805, 306, 14494, 16, 188, 1212, 13857, 254, 6676, 742, 276, 254, 1364, 25979, 22432, 274, 254, 4948, 14, 286, 348, 254, 1665, 3297, 282, 27756, 254, 3029, 1337, 16106, 10404, 3297, 16, 1664, 497, 5534, 26347, 16, 188, 2432, 497, 10307, 46457, 274, 385, 29266, 386, 1921, 14, 21980, 1450, 70, 559, 14, 286, 25870, 7921, 36210, 16, 188, 510, 38055, 497, 13123, 14, 286, 573, 1125, 286, 20369, 27102, 2462, 16, 188, 43, 7434, 254, 5534, 6450, 12068, 276, 254, 2042, 14185, 16, 188, 510, 35083, 274, 254, 913, 369, 254, 5604, 81, 267, 3183, 12446, 18256, 16, 18668, 11506, 311, 248, 1247, 913, 1318, 16, 188, 1304, 2225, 345, 311, 9753, 15, 1203, 1228, 14, 1012, 327, 345, 311, 276, 520, 607, 18, 457, 85, 16, 188, 43, 1309, 353, 4313, 747, 10932, 6634, 597, 1863, 633, 607, 18, 457, 85, 555, 248, 3837, 12557, 1040, 16, 310, 2035, 328, 11006, 17934, 31084, 282, 1242, 2367, 343, 520, 3183, 3573, 1059, 959, 16, 2552, 310, 587, 2941, 282, 1115, 254, 26347, 286, 360, 587, 6023, 772, 2086, 286, 1649, 248, 913, 328, 254, 3843, 16, 17334, 23072, 70, 592, 286, 10932, 6634, 286, 11921, 12865, 286, 4895, 688, 905, 288, 13053, 972, 1045, 286, 626, 310, 4533, 360, 452, 3136, 248, 2365, 2764, 348, 248, 22012, 913, 16, 188, 1516, 5690, 369, 9024, 276, 19827, 286, 30343, 18256, 14, 11752, 14, 3183, 2949, 14, 21445, 14, 3029, 1337, 16106, 328, 4029, 338, 26, 14, 374, 18, 19, 19, 407, 7158, 36511, 8107, 16, 188, 17041, 17657, 3, 310, 699, 254, 23072, 18256, 36210, 650, 321, 593, 3837, 16, 188, 15179, 7753, 3, 1395, 8855, 573, 248, 1755, 6723, 387, 254, 3029, 1337, 16106, 913, 16, 310, 4285, 282, 1382, 282, 23161, 277, 977, 1063, 353, 2956, 16, 188, 23471, 1230, 779, 5246, 311, 2169 ]

[ 1, 1824, 3570, 688, 274, 254, 2226, 17943, 310, 715, 9999, 14938, 14, 1996, 276, 618, 2342, 274, 5745, 915, 1789, 327, 310, 915, 276, 618, 6567, 7885, 16, 12809, 1002, 670, 310, 715, 47360, 6567, 14, 310, 476, 669, 1872, 254, 362, 487, 266, 286, 254, 2269, 286, 353, 1606, 327, 310, 807, 669, 3177, 942, 663, 403, 4315, 282, 321, 3136, 5252, 16, 188, 4234, 310, 807, 3177, 688, 942, 663, 403, 3136, 5252, 14, 345, 249, 8563, 310, 1038, 625, 1623, 1521, 327, 1181, 16, 188, 1212, 403, 1012, 276, 254, 6815, 1722, 274, 254, 802, 374, 18, 19, 21, 286, 327, 311, 843, 254, 671, 19250, 593, 3684, 16, 26742, 368, 774, 4143, 327, 353, 4667, 254, 1722, 670, 353, 369, 1427, 10244, 670, 368, 19080, 327, 276, 4109, 16, 310, 4428, 625, 2780, 843, 3684, 353, 311, 327, 436, 587, 1663, 282, 1477, 959, 16, 731, 311, 254, 6815, 1722, 286, 360, 403, 425, 1821, 254, 4122, 15, 2823, 16, 188, 7979, 1722, 274, 39346, 479, 668, 618, 4028, 830, 668, 1364, 802, 16, 11389, 369, 276, 378, 18727, 8228, 286, 2323, 526, 87, 1422, 254, 801, 286, 1250, 2065, 274, 254, 1722, 4028, 374, 18, 19, 20, 16, 2552, 24437, 479, 669, 343, 618, 3224, 360, 5108, 671, 2292, 387, 5626, 5153, 16, 188, 5705, 2144, 276, 254, 1364, 2065, 274, 254, 1722, 670, 310, 2350, 282, 17247, 334, 86, 334, 286, 29583, 809, 8874, 14, 14685, 605, 285, 16, 496, 29583, 809, 8874, 310, 5108, 811, 688, 1603, 2942, 286, 835, 310, 2350, 1683, 16, 6064, 526, 85, 479, 668, 254, 1643, 1438, 282, 42204, 670, 626, 369, 641, 13144, 2066, 310, 573, 282, 1431, 324, 1694, 2942, 16, 188, 43, 452, 2631, 282, 3510, 248, 2187, 2966, 14, 811, 248, 1815, 843, 310, 650, 6761, 618, 671, 324, 436, 1722, 16, 0, 44030, 3836, 14, 427, 16, 37, 16, 428, 4953, 26218, 5968, 328, 7608, 338, 19, 19, 3648, 4099, 324, 254, 10438, 15, 1119, 776, 338, 20, 55, 3206, 7292, 16, 380, 3206, 7292, 587, 1354, 1619, 432, 4029, 374, 21, 15, 20, 23, 387, 254, 655, 11774, 26218, 23387, 276, 9632, 38012, 14, 4851, 14, 3444, 4598, 407, 254, 338, 20, 55, 3206, 10313, 46080, 432, 4029, 374, 24, 15, 20, 26, 14, 830, 495, 24, 17305, 587, 321, 362, 3081, 324, 615, 4688, 282, 1041, 254, 2379, 338, 26, 15, 1318, 338, 20, 55, 3206, 10313, 22257, 16, 188, 510, 338, 19, 19, 3648, 4099, 324, 254, 338, 20, 55, 3206, 7292, 497, 6596, 432, 4953, 26218, 434, 7292, 9494, 5869, 789, 286, 587, 1901, 6636, 15, 13156, 1015, 2957, 276, 2194, 16, 380, 7292, 9494, 5869, 789, 497, 4095, 282, 2023, 17305, 2362, 254, 2504, 343, 254, 4954, 282, 2411, 3103, 343, 10313, 4953, 276, 248, 4610, 327, 3290, 9514, 14, 6916, 14, 286, 790, 16, 188, 4369, 254, 3206, 7292, 14, 4953, 26218, 587, 19287, 338, 23, 3648, 282, 254, 374, 18, 19, 26, 338, 20, 55, 3206, 10313, 46080, 16, 8995, 3648, 587, 6429, 374, 19, 17305, 3661, 3516, 324, 7386, 14, 1648, 7261, 432, 254, 374, 18, 19, 26, 338, 19, 55, 39780, 970, 17097, 263, 1036, 286, 338, 20, 432, 254, 374, 18, 19, 25, 338, 19, 55, 3206, 10313, 34512, 11899, 314, 6197, 1779, 481, 188, 510, 338, 20, 55, 3206, 10313, 22257, 587, 321, 2379, 1013, 328, 4029, 374, 26, 343, 338, 20, 55, 3206, 10313, 18489, 1527, 432, 4087, 338, 27, 15, 20, 20, 16, 10313, 4953, 587, 835, 1115, 276, 254, 13671, 2834, 39, 9006, 2371, 347, 35, 4, 22290, 276, 40865, 285, 1161, 40853, 14, 8753, 432, 4087, 374, 23, 15, 21200, 374, 16, 188, 54, 18920, 24842, 29, 4852, 14500, 14, 33017, 16, 188, 9249, 12720, 378, 25460, 29, 34272, 81, 331, 1016, 33794, 67, 14, 33017, 16, 188, 15764, 8275, 2253, 92, 777, 29, 4270, 5852, 14, 427, 16, 44, 16, 188, 53, 1377, 7678, 5258, 29, 16552, 27220, 14, 427, 16, 37, 16, 188, 23317, 32397, 2431, 29, 8514, 9496, 14, 33017, 16, 188, 46645, 14894, 29, 595, 35739, 473, 8537, 14, 33017, 16, 188, 48041, 6132, 17831, 29, 21634, 34272, 81, 14, 427, 16, 47, 16, 188, 17921, 35541, 313, 4039, 29, 8514, 9496, 14, 33017, 16, 188, 36013, 15877, 9114, 12071, 29, 4117, 35819, 14, 23490, 16, 188, 12759, 2569, 7813, 583, 29, 25373, 661, 67, 6874, 14, 427, 16, 44, 16, 188, 6687, 2145, 16946, 2122, 273, 29, 1201, 14298, 655, 466, 5154, 14, 33017, 16, 188, 54, 18778, 16589, 5232, 29, 4852, 14500, 14, 33017, 16, 188, 41, 23037, 443, 1622, 75, 26554, 29, 2995, 268, 25372, 14, 27678, 16, 188, 42347, 7092, 6167, 29, 416, 6506, 11667, 14, 427, 16, 59, 16, 188, 4082, 8275, 27972, 29, 9148, 13798, 662, 2118, 14, 473, 251, 16, 188, 54, 623, 1939, 526, 44457, 29, 47130, 12782, 14, 33017, 16, 188, 57, 91, 1559, 388, 4548, 753, 29, 25136, 19349, 67, 14, 33017, 16, 188, 37812, 5573, 15692, 252, 29, 4852, 36915, 14, 33017, 16, 188, 44700, 18838, 14775, 29, 4117, 418, 2872, 14, 473, 251, 16, 188, 37, 578, 15802, 258, 24454, 29, 5891, 1348, 4762, 14, 20017, 16, 188, 15639, 5848, 31616, 29, 6341, 258, 8228, 14, 427, 16, 59, 16, 188, 48, 10236, 28506, 1348, 29, 33393, 16152, 14, 11816, 16, 188, 12878, 12330, 43290, 29, 33976, 416, 36006, 14, 27678, 16, 188, 2231, 1219, 9026, 265, 29, 771, 3507, 35750, 14, 33017, 16, 188, 30592, 11194, 6180, 75, 29, 6341, 258, 8228, 14, 427, 16, 59, 16, 188, 47, 1169, 8543, 42280, 29, 5626, 27128, 14, 26371, 16, 188, 45518, 4966, 2953, 1711, 29, 15701, 14, 27678, 16, 188, 37, 1326, 46093, 1923, 29, 9495, 12782, 14, 427, 16, 37, 16, 188, 44, 518, 704, 2141, 442, 2407, 29, 10966, 6558, 4762, 14, 33017, 16, 188, 25236, 704, 367, 3473, 263, 29, 9921, 12776, 14, 323, 16, 37, 16, 188, 18208, 19762, 297, 1621, 258, 91, 29, 4852, 14500, 14, 33017, 16, 188, 39, 14243, 26688, 29, 25136, 19349, 67, 14, 33017, 16, 188, 39, 14243, 367, 723, 10348, 4595, 29, 18130, 2081, 6728 ]

[ 1, 774, 321, 2041, 282, 1431, 1385, 254, 260, 3102, 274, 254, 21467, 16, 1180, 360, 16502, 283, 417, 1385, 15020, 286, 2531, 14, 532, 1385, 8398, 995, 14, 1385, 8898, 14, 1385, 254, 35118, 274, 254, 13486, 274, 436, 1499, 14, 1385, 12096, 25512, 1232, 276, 1017, 4902, 16, 188, 17041, 44872, 10451, 338, 22, 14, 374, 18, 19, 26, 4528, 188, 17613, 10632, 2045, 706, 17362, 3113, 254, 25454, 9493, 2572, 254, 9174, 469, 2132, 27385, 338, 19, 16, 19, 19, 16, 20, 18, 19, 26, 16, 188, 5823, 49, 3404, 14384, 1122, 500, 1505, 374, 18, 19, 27, 28, 5525, 1675, 1122, 7054, 59, 7800, 4497, 8500, 23669, 59, 706, 39462, 30879, 5082, 310, 25857, 10863, 9846, 399, 30304, 367, 7604, 27619, 416, 2026, 54, 10577, 24666, 3761, 7370, 3, 188, 3868, 9675, 28, 3792, 3653, 6754, 939, 520, 338, 21, 394, 3074, 328, 520, 1464, 1285, 254, 9199, 18576, 15197, 16, 367, 21832, 254, 6032, 324, 7290, 687, 775, 286, 520, 1963, 16, 9887, 1012, 3653, 311, 276, 2963, 387, 254, 443, 20, 18, 4654, 16, 188, 7902, 282, 254, 813, 286, 254, 338, 25, 394, 1707, 328, 4062, 10882, 32813, 276, 254, 13166, 14, 254, 4633, 12339, 1707, 616, 10278, 328, 254, 36388, 4470, 274, 13784, 6770, 786, 533, 403, 34196, 286, 616, 44171, 459, 3407, 311, 4029, 338, 25, 14, 374, 18, 19, 27, 276, 642, 2906, 254, 338, 25, 394, 274, 254, 813, 394, 1722, 274, 374, 18, 19, 27, 16, 1469, 669, 25416, 327, 6551, 314, 264, 248, 3326, 3879, 11, 587, 751, 888, 713, 3780, 328, 3237, 16, 374, 18, 394, 17, 20, 19, 297, 374, 18, 19, 27, 580, 802, 6214, 274, 254, 7119, 16, 188, 19499, 1318, 10557, 28, 10240, 5626, 11290, 27337, 16768, 14, 4257, 813, 14, 374, 18, 19, 26, 16, 188, 1304, 7583, 328, 520, 47690, 4897, 28, 1822, 254, 7664, 274, 254, 1364, 1842, 403, 5806, 3280, 387, 254, 1057, 671, 16, 13166, 15122, 249, 941, 311, 9121, 977, 1063, 772, 2836, 286, 747, 4065, 30836, 14, 254, 7917, 3284, 403, 9121, 624, 7017, 286, 624, 539, 1538, 16, 8783, 14, 276, 254, 2803, 4619, 254, 1499, 452, 593, 1125, 5457, 14, 1648, 4903, 14, 8031, 14, 1686, 81, 15, 44914, 14, 9771, 9271, 14, 8698, 14, 3358, 15325, 18863, 14, 9197, 14, 12096, 286, 9343, 14, 5806, 2325, 2292, 282, 3217, 436, 1499, 327, 457, 85, 2102, 714, 1672, 273, 687, 254, 4873, 713, 254, 490, 35989, 14, 282, 248, 1110, 274, 641, 1076, 16, 7467, 749, 670, 368, 915, 512, 836, 7664, 9121, 14, 865, 327, 310, 715, 2734, 14, 1002, 387, 254, 3260, 16, 188, 6609, 2572, 321, 343, 368, 328, 436, 9205, 286, 1336, 368, 2033, 16, 188, 2721, 268, 298, 14, 45102, 8529, 1091, 15905, 544, 285, 47789, 2177, 338, 27, 27, 20, 16, 188, 42217, 28, 380, 6667, 4329, 276, 436, 3802, 403, 254, 7724, 8075, 274, 254, 2410, 16, 1286, 368, 452, 248, 1840, 343, 254, 35216, 274, 254, 1460, 14, 4356, 2960, 254, 2410, 16, 188, 3602, 11903, 282, 14104, 404, 2075, 6317, 452, 5048, 6072, 1080, 33, 0, 1516, 6879, 2586, 774, 2023, 4708, 390, 10144, 282, 1303, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 6879, 4235, 286, 5146, 16, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 2701, 641, 13849, 14, 7304, 447, 14, 390, 642, 31145, 23822, 668, 665, 1303, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 6879, 4235, 390, 2543, 15, 14417, 5146, 327, 774, 321, 22647, 14, 12140, 432, 14, 390, 7729, 282, 436, 2586, 16, 330, 2951, 282, 248, 1303, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 6879, 2586, 1042, 417, 1563, 327, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 980, 10804, 254, 2517, 390, 889, 274, 819, 6879, 2586, 390, 695, 7109, 16, 496, 1596, 14, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 311, 417, 248, 3027, 282, 390, 5346, 324, 665, 12764, 368, 774, 4750, 713, 343, 2543, 4532, 14, 1002, 603, 368, 2941, 274, 819, 4532, 314, 264, 889, 248, 2951, 282, 819, 4532, 11, 432, 272, 436, 2586, 16, 9755, 14, 368, 14015, 286, 5041, 327, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 311, 417, 5346, 324, 254, 11343, 274, 819, 5854, 4235, 390, 5146, 14, 286, 311, 417, 5346, 390, 15480, 324, 665, 2517, 14, 3134, 14, 3462, 14, 390, 642, 4605, 328, 390, 2066, 432, 1093, 4235, 390, 5146, 16, 2028, 368, 2218, 248, 1303, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 6879, 2586, 14, 4356, 2033, 327, 353, 311, 3781, 432, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 286, 327, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 1042, 417, 1423, 254, 2517, 328, 327, 6879, 2586, 16, 731, 311, 597, 282, 368, 282, 1354, 38392, 282, 3889, 4684, 432, 14377, 14, 33923, 14, 6549, 17057, 11747, 14, 286, 642, 7620, 26095, 5495, 14, 286, 282, 3889, 633, 1460, 348, 368, 41699, 4426, 16, 188, 2976, 4708, 282, 436, 6879, 2586, 1339, 321, 6825, 276, 3899, 407, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 603, 665, 274, 254, 1527, 10114, 28, 254, 2951, 28, 314, 67, 11, 2706, 12653, 1444, 665, 3135, 328, 436, 6879, 2586, 390, 889, 642, 5445, 327, 6803, 276, 665, 1026, 254, 5150, 9498, 390, 7094, 274, 665, 2517, 1525, 436, 2586, 29, 314, 68, 11, 24524, 633, 2860, 343, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 29, 314, 69, 11, 15641, 327, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 1174, 1595, 390, 980, 10804, 368, 14, 633, 6879, 2586, 14, 390, 633, 2497, 390, 1830, 26349, 29, 286, 314, 70, 11, 1225, 3117, 390, 23584, 33667, 668, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 390, 4859, 4577, 254, 1157, 9585, 2258, 343, 254, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 1390, 390, 39043, 16, 1260, 248, 1949, 1580, 282, 1129, 11152, 282, 2951, 282, 436, 2586, 14, 368, 5041, 327, 4906, 11256, 263, 594, 9897, 1013, 3567, 896, 774, 387, 665, 671, 14, 276, 695, 7724, 8411, 14, 23407, 8969, 282, 2951, 282, 436, 6879, 2586, 16, 496, 819, 2288 ]

[ 1, 870, 61, 4040, 313, 63, 477, 1076, 270, 188, 188, 5, 4145, 1142, 282, 1213, 248, 2545, 188, 5, 480, 311, 248, 30214, 210, 188, 5, 246, 314, 16964, 3578, 14, 16964, 8626, 14, 16964, 35436, 11, 188, 5, 246, 314, 16964, 3578, 14, 16964, 8626, 11, 188, 5, 246, 314, 16964, 3578, 41786, 188, 1510, 1382, 10, 3299, 14, 76, 2192, 477, 480, 6500, 426, 8249, 10, 76, 11, 477, 603, 246, 480, 6500, 2224, 495, 28, 373, 426, 480, 61, 18, 874, 12, 76, 61, 19, 1077, 424, 76, 61, 20, 3185, 477, 27985, 480, 6500, 2224, 374, 28, 373, 426, 480, 61, 18, 874, 12, 76, 61, 19, 3185, 477, 27985, 480, 6500, 2224, 338, 28, 373, 426, 480, 61, 18, 874, 11, 477, 1076, 501, 188, 188, 22191, 22191, 6498, 1784, 3985, 188, 22191, 22191, 6498, 1784, 3985, 188, 188, 339, 4623, 1554, 870, 2224, 684, 870, 7073, 870, 5141, 5691, 188, 188, 22191, 22191, 6498, 1784, 3985, 5269, 534, 0, 33734, 25702, 6161, 40369, 188, 3933, 3512, 1369, 3512, 188, 3933, 465, 1481, 11955, 333, 16, 2137, 16, 18730, 1369, 13689, 534, 188, 2360, 25702, 10, 5310, 16, 6917, 2192, 477, 40369, 15730, 319, 25702, 6905, 40369, 477, 8091, 65, 302, 426, 13689, 16, 12955, 10, 5310, 16, 2689, 10, 24, 22, 581, 13689, 16, 38577, 4664, 2012, 22950, 319, 3226, 302, 11162, 21901, 3505, 65, 2290, 31, 4937, 11, 477, 1246, 65, 3214, 426, 13689, 16, 12955, 10, 5310, 16, 16014, 11, 477, 341, 65, 3214, 426, 13689, 16, 12955, 10, 5310, 16, 16014, 11, 1465, 40369, 25702, 6376, 40369, 477, 804, 4623, 4338, 21257, 1262, 14, 10262, 252, 65, 2137, 31, 11033, 14, 1246, 65, 3214, 31, 18, 14, 341, 65, 3214, 31, 18, 2192, 647, 1800, 603, 10262, 252, 65, 2137, 28, 647, 1827, 16, 90, 65, 3214, 426, 10262, 252, 65, 2137, 4862, 90, 5868, 647, 1827, 16, 91, 65, 3214, 426, 10262, 252, 65, 2137, 4862, 91, 5868, 647, 1800, 1952, 28, 647, 1800, 253, 1827, 16, 90, 65, 3214, 426, 1246, 65, 3214, 647, 1800, 253, 1827, 16, 91, 65, 3214, 426, 341, 65, 3214, 1465, 804, 4623, 1320, 21257, 1262, 2192, 1800, 814, 22143, 28, 641, 3709, 647, 1076, 270, 9, 90, 40285, 1262, 16, 90, 65, 3214, 881, 554, 40285, 1262, 16, 91, 65, 3214, 15553, 1465, 804, 10112, 899, 10, 1262, 2192, 1800, 814, 22143, 28, 641, 3709, 647, 40369, 27284, 4083, 1740, 40369, 647, 1076, 550, 926, 347, 90, 1356, 1827, 16, 90, 65, 3214, 14, 926, 347, 91, 1356, 1827, 16, 91, 65, 3214, 926, 744, 1465, 1800, 804, 2706, 65, 14317, 65, 3214, 10, 1262, 14, 2694, 65, 90, 65, 10662, 14, 2694, 65, 91, 65, 10662, 2192, 477, 1800, 253, 40369, 44906, 248, 1844, 276, 533, 254, 1844, 274, 436, 1740, 311, 3198, 274, 254, 477, 1800, 253, 8769, 494, 4131, 343, 40038, 4667, 348, 4616, 14, 324, 10160, 254, 743, 2382, 40369, 477, 1800, 253, 743, 65, 90, 426, 1827, 24051, 1161, 3576, 65, 14317, 65, 10289, 10, 3958, 65, 90, 65, 10662, 14, 1827, 16, 90, 65, 3214, 11, 477, 1800, 253, 743, 65, 91, 426, 1827, 24051, 1161, 3576, 65, 14317, 65, 10289, 10, 3958, 65, 91, 65, 10662, 14, 1827, 16, 91, 65, 3214, 11, 477, 1800, 253, 1076, 25702, 10, 90, 65, 3214, 31, 1775, 65, 90, 14, 341, 65, 3214, 31, 1775, 65, 91, 11, 1465, 1800, 1196, 4515, 9102, 477, 1800, 804, 4623, 1161, 3576, 65, 14317, 65, 10289, 10, 3958, 65, 10662, 14, 7638, 65, 3214, 2192, 477, 1800, 253, 8188, 426, 3512, 1067, 475, 2694, 65, 10662, 477, 1800, 253, 743, 65, 3214, 426, 7638, 65, 3214, 428, 8188, 477, 1800, 253, 1076, 470, 603, 743, 65, 3214, 653, 470, 1952, 743, 65, 3214, 575, 0, 5, 416, 1412, 455, 21033, 7785, 2157, 972, 188, 5, 188, 5, 8064, 374, 18, 19, 23, 5396, 3567, 16, 1822, 12142, 31794, 16, 188, 5, 188, 5, 826, 2024, 311, 1903, 3571, 29, 368, 476, 24692, 353, 286, 17, 264, 9741, 188, 5, 353, 758, 254, 2349, 274, 254, 11641, 4078, 5105, 4493, 348, 3737, 407, 188, 5, 254, 7446, 8870, 6625, 29, 1996, 2629, 374, 274, 254, 4493, 14, 390, 314, 256, 188, 5, 633, 4360, 11, 665, 1938, 2629, 16, 188, 5, 188, 5, 826, 2024, 311, 5770, 276, 254, 3409, 327, 353, 587, 321, 4081, 14, 532, 188, 5, 14588, 8867, 22458, 29, 1269, 1002, 254, 10195, 17036, 274, 188, 5, 20242, 390, 19917, 6474, 330, 19783, 19517, 16, 2512, 254, 11641, 188, 5, 4078, 5105, 4493, 324, 624, 4139, 16, 188, 5, 188, 5, 1395, 933, 452, 2865, 248, 3378, 274, 254, 11641, 4078, 5105, 4493, 188, 5, 2049, 343, 436, 2024, 29, 603, 417, 14, 3510, 282, 254, 7446, 8870, 188, 5, 6625, 14, 3567, 896, 607, 27, 17156, 13103, 14, 31093, 495, 21, 18, 14, 9438, 14, 6724, 470, 20, 19, 19, 19, 15, 19, 21, 18, 25, 4953, 188, 5, 188, 188, 31311, 1516, 14769, 11023, 254, 3621, 324, 416, 1412, 455, 282, 15820, 272, 330, 3164, 22, 2382, 16, 188, 188, 1130, 311, 272, 5630, 282, 254, 269, 6269, 18339, 274, 11610, 5493, 14, 533, 669, 10238, 188, 35, 3164, 22, 3762, 16, 380, 2967, 1129, 327, 436, 14769, 587, 4503, 3051, 1735, 282, 188, 318, 15793, 624, 4479, 1460, 314, 71, 16, 73, 16, 17779, 4227, 3838, 481, 188, 31311, 188, 188, 870, 7382, 870, 426, 347, 18208, 18981, 653, 1014, 438, 5304, 34, 9644, 16, 679, 21103, 188, 2855, 4994, 188, 2855, 13009, 188, 2855, 7481, 188, 2855, 295, 188, 2855, 1082, 188, 2855, 14310, 3039, 188, 188, 3933, 7048, 2755, 22, 1369, 2361, 22, 188, 3933, 7048, 2755, 22, 1369, 931, 65, 11548, 188, 188, 14226, 28, 477, 1800, 17669, 1305, 311, 14842, 16, 477, 432, 7048, 2755, 22, 1369, 2361, 22, 65, 18002, 188, 16364, 16445, 4608, 28, 477, 2361, 22, 65, 18002, 426, 8037, 188, 188, 3933, 7048, 2755, 22, 1369, 2361, 22, 65, 25859, 188, 3933, 7048, 2755, 22, 1369, 2361, 22, 65, 5530, 188, 3933, 7048, 2755, 22, 1369, 2361, 22, 65, 4113, 188 ]

[ 1, 188, 2300, 254, 7315, 2824, 14, 665, 5083, 282, 6551, 457, 85, 4403, 432, 254, 5246, 1091, 2584, 276, 19951, 24652, 26987, 1285, 248, 7213, 282, 7334, 276, 374, 18, 18, 24, 1091, 587, 321, 769, 8181, 1756, 17124, 6167, 7917, 16, 188, 1590, 1982, 2996, 369, 11876, 282, 417, 6101, 324, 21623, 6551, 407, 327, 5246, 14, 596, 3061, 10075, 457, 86, 13057, 324, 775, 8563, 1756, 749, 17124, 6167, 14, 663, 311, 417, 2367, 324, 248, 7236, 532, 663, 5094, 520, 6101, 324, 6551, 276, 254, 1427, 2728, 3505, 16, 188, 686, 19229, 14, 830, 254, 763, 8940, 36300, 1364, 2286, 14, 10869, 749, 254, 7315, 1848, 457, 86, 1041, 729, 1141, 665, 1637, 274, 6551, 1091, 532, 688, 573, 3418, 668, 9407, 16, 188, 1590, 2686, 2169, 274, 8446, 311, 748, 555, 41592, 3148, 597, 1756, 749, 31676, 2862, 3836, 14, 272, 440, 30431, 20121, 16, 0, 29670, 1525, 254, 23072, 274, 254, 5979, 14, 19113, 7194, 8898, 274, 3629, 785, 2292, 282, 2706, 248, 16448, 9960, 327, 555, 1845, 38431, 636, 14, 417, 7750, 324, 695, 13296, 592, 14, 532, 669, 324, 695, 37111, 286, 4609, 16, 1678, 14, 1863, 254, 4122, 15, 19, 27, 18, 18, 85, 14, 626, 369, 641, 347, 357, 22062, 15, 19445, 2546, 407, 533, 33491, 807, 321, 23470, 3333, 188, 510, 443, 5082, 369, 254, 801, 282, 2546, 877, 254, 6621, 286, 5575, 274, 33491, 2474, 282, 2004, 454, 14, 1599, 15315, 14, 18130, 286, 2556, 256, 16, 1993, 403, 4489, 315, 1873, 348, 254, 576, 35316, 16, 10770, 14, 254, 27549, 1918, 6342, 274, 3840, 434, 576, 35316, 274, 24327, 20151, 311, 254, 10615, 15350, 19401, 274, 10225, 254, 3184, 274, 665, 16213, 14, 9564, 276, 254, 1499, 16, 826, 2034, 327, 16213, 3184, 476, 321, 4329, 276, 248, 10615, 3335, 286, 6211, 865, 4414, 748, 596, 403, 10982, 16, 1583, 642, 975, 555, 254, 19266, 286, 10615, 14512, 348, 254, 443, 5082, 4172, 16, 188, 510, 27549, 1918, 6342, 274, 3840, 5767, 327, 368, 769, 26343, 633, 15158, 7504, 348, 368, 650, 5053, 248, 7151, 1397, 1997, 3086, 44011, 14, 360, 563, 248, 3109, 1949, 16, 839, 587, 1970, 368, 668, 380, 17044, 331, 1480, 16, 188, 2943, 360, 3856, 274, 16213, 10408, 14, 360, 403, 2602, 13948, 282, 254, 5759, 274, 10408, 16, 330, 16213, 327, 311, 2714, 10128, 1024, 6141, 286, 36839, 3834, 457, 311, 10408, 1391, 14, 747, 248, 5757, 274, 6141, 1773, 16, 7553, 254, 1988, 14, 2714, 67, 16213, 274, 254, 801, 1773, 14960, 188, 41, 5082, 457, 85, 10408, 15, 4820, 273, 975, 34403, 248, 2413, 432, 399, 282, 1472, 14, 343, 254, 4706, 399, 6134, 324, 10408, 23030, 286, 11832, 343, 3509, 10408, 282, 254, 4706, 1472, 16, 731, 3517, 14, 3004, 14, 327, 512, 642, 2533, 1129, 254, 1057, 14, 248, 16213, 274, 443, 10408, 650, 321, 1755, 683, 580, 274, 388, 10408, 16, 6499, 274, 254, 10408, 40415, 403, 1062, 15662, 286, 476, 756, 321, 7318, 407, 248, 9899, 4977, 16, 188, 2943, 6143, 311, 7136, 282, 1247, 8101, 274, 4112, 286, 3360, 3555, 3198, 254, 5979, 14, 353, 4196, 28646, 713, 3506, 33491, 16, 6236, 436, 1213, 274, 8641, 14, 1330, 20033, 274, 6143, 390, 642, 34920, 476, 2411, 17675, 276, 254, 16213, 954, 1993, 403, 1869, 4662, 45643, 16, 188, 2943, 8695, 16213, 19266, 14, 272, 6311, 18840, 2006, 2533, 819, 348, 1162, 14, 1921, 14, 6444, 14, 3629, 14, 286, 1844, 274, 836, 45643, 286, 665, 5854, 10597, 16, 750, 669, 18840, 843, 836, 2730, 254, 4440, 7094, 274, 254, 16213, 16, 3774, 641, 16213, 311, 9415, 6141, 14, 254, 7793, 353, 3144, 282, 1129, 1903, 274, 271, 5452, 6247, 286, 45643, 14, 254, 2103, 695, 1294, 16, 188, 15, 403, 2156, 4607, 282, 254, 16402, 4977, 16, 188, 9928, 45643, 286, 271, 5452, 6247, 476, 756, 321, 2254, 407, 248, 9899, 16213, 3680, 255, 758, 338, 18, 90, 27379, 16, 1860, 254, 16402, 4977, 14, 248, 28125, 19, 286, 272, 17354, 20, 16213, 774, 997, 4414, 254, 1057, 14, 532, 836, 33491, 403, 3136, 1015, 276, 2349, 274, 19266, 16, 1180, 436, 1865, 14, 633, 4249, 383, 699, 311, 282, 4349, 432, 248, 15158, 7504, 3569, 6311, 286, 7692, 6621, 368, 476, 4377, 16, 188, 36, 910, 1232, 10487, 282, 254, 4662, 286, 5854, 3065, 1665, 327, 4699, 11088, 432, 254, 16213, 16, 188, 2943, 360, 3856, 274, 254, 3183, 276, 248, 16213, 14, 360, 1563, 254, 11398, 274, 3065, 1665, 713, 512, 254, 21607, 274, 254, 36002, 16, 188, 35, 16213, 434, 33881, 21098, 311, 254, 2332, 274, 13302, 283, 248, 16213, 11029, 14, 286, 254, 3003, 274, 1665, 286, 3524, 3551, 4130, 407, 23462, 1525, 254, 8577, 16, 188, 510, 443, 5082, 4504, 248, 2537, 15, 7495, 4172, 432, 46498, 282, 27887, 282, 12853, 877, 33491, 2474, 282, 843, 963, 596, 403, 2541, 16, 188, 11518, 1096, 256, 311, 1143, 597, 274, 338, 18, 18, 2704, 16, 496, 254, 1068, 274, 248, 16213, 327, 311, 1637, 683, 580, 2057, 1096, 256, 14, 360, 6094, 353, 756, 276, 2704, 390, 23145, 16, 330, 16213, 327, 311, 580, 15, 86, 7190, 85, 274, 248, 1096, 256, 311, 6117, 282, 348, 1129, 338, 18, 23145, 390, 1869, 248, 338, 18, 15, 24264, 16, 24327, 85, 687, 338, 18, 18, 23145, 403, 6117, 282, 276, 1096, 1781, 286, 1071, 20551, 14, 348, 276, 338, 16, 18, 26, 261, 1601, 14, 374, 16, 19, 23, 261, 1601, 14, 286, 593, 328, 16, 188, 1934, 254, 16402, 4977, 14, 626, 311, 641, 7775, 2967, 869, 248, 16213, 327, 311, 890, 27, 23145, 286, 580, 533, 311, 338, 16, 18, 18, 261, 1601, 16, 1678, 14, 254, 3326, 650, 2042, 3136, 248, 2298, 1637, 683, 254, 5987, 16, 5596, 33491, 274, 4363, 2713, 476, 2042, 1015, 8101, 1707, 328, 512, 254, 642, 2533, 274, 10408, 14, 19266, 286, 2541, 16, 1822, 642, 2533, 1129, 4363, 428, 2541, 14, 19266, 286, 10408, 428, 353, 3517, 327, 248, 3936, 8577, 587, 2042, 1181, 624, 683, 248, 4434, 580, 16, 188, 3294, 3086, 44011, 14, 360, 1852, 436, 607, 394, 331, 348, 11897, 348, 2004, 454 ]

[ 1, 8101, 276, 4682, 18292, 14, 5569, 4859, 5656, 407, 254, 4532, 390, 4859, 4285, 407, 254, 7540, 32105, 16, 496, 254, 2288, 327, 248, 3027, 1042, 417, 2014, 695, 3768, 14, 254, 7540, 32105, 2992, 2353, 254, 642, 3027, 282, 2014, 254, 2057, 4682, 18292, 276, 1316, 324, 254, 15582, 282, 321, 4095, 16, 188, 10, 21, 11, 30944, 282, 2014, 254, 4682, 18292, 15229, 407, 254, 7540, 32105, 1525, 254, 4092, 20030, 774, 2759, 254, 7540, 32105, 282, 2722, 254, 1068, 1269, 14348, 282, 254, 6215, 274, 28281, 248, 743, 2662, 328, 254, 1057, 2443, 387, 248, 1938, 3798, 16, 188, 10, 19, 11, 7693, 254, 4532, 452, 417, 5656, 2154, 254, 1162, 274, 2672, 14, 254, 15582, 2992, 2793, 274, 1241, 2672, 16, 188, 10, 20, 11, 1822, 2672, 274, 254, 15582, 2992, 321, 2066, 14, 37429, 286, 3781, 16, 380, 3792, 274, 254, 15582, 2992, 2120, 248, 1533, 4110, 14, 5569, 4859, 5656, 869, 254, 4532, 16, 188, 10, 21, 11, 9360, 1129, 5618, 14, 272, 10868, 15582, 3442, 2992, 855, 248, 26192, 274, 14512, 286, 274, 3070, 3110, 414, 286, 31069, 16, 1997, 254, 1057, 671, 14, 254, 3442, 2992, 17110, 276, 3899, 665, 5819, 533, 1503, 1862, 5884, 282, 5118, 23834, 348, 282, 254, 2672, 457, 11343, 14, 37429, 414, 390, 13886, 16, 330, 3442, 2992, 669, 2023, 1460, 328, 520, 390, 616, 5537, 286, 11030, 3981, 14, 3838, 16, 314, 8658, 17, 20266, 2138, 854, 481, 380, 7540, 32105, 2992, 3461, 254, 15756, 286, 14751, 17, 20266, 2138, 854, 282, 254, 4532, 286, 4842, 248, 20030, 324, 665, 5536, 16, 188, 10, 22, 11, 6236, 254, 1068, 14, 254, 15582, 2672, 2992, 4598, 17110, 276, 3899, 282, 254, 642, 2672, 14, 254, 4532, 286, 254, 7540, 32105, 665, 5819, 327, 933, 452, 643, 10281, 2474, 282, 314, 21, 11, 573, 596, 12805, 387, 327, 671, 16, 188, 10, 23, 11, 330, 15582, 3442, 2468, 321, 10868, 348, 248, 3442, 274, 272, 6272, 1509, 39620, 276, 665, 2764, 6272, 1509, 9794, 4850, 254, 1068, 14, 5569, 254, 4532, 5041, 4859, 16, 188, 10, 19, 11, 1822, 29148, 274, 15582, 2672, 403, 2186, 282, 16418, 407, 254, 20605, 457, 85, 6852, 16, 188, 10, 20, 11, 5650, 3027, 774, 6370, 248, 3442, 274, 254, 15582, 16, 380, 2543, 3442, 14, 663, 2992, 321, 254, 3792, 274, 254, 15582, 14, 774, 321, 10868, 25398, 407, 254, 4532, 14, 1063, 248, 20030, 4092, 407, 254, 7540, 32105, 16, 188, 10, 21, 11, 380, 20605, 457, 85, 6852, 774, 7415, 417, 282, 6409, 272, 10868, 15582, 3442, 328, 254, 9643, 867, 561, 276, 13724, 848, 314, 19, 581, 276, 533, 1068, 254, 3027, 17, 1945, 447, 774, 6370, 1495, 15582, 3442, 1063, 248, 20030, 4092, 407, 254, 7540, 32105, 16, 188, 10, 22, 11, 7693, 626, 403, 2623, 4532, 343, 9366, 2013, 6112, 14, 596, 2992, 765, 25398, 276, 6370, 273, 248, 15582, 3442, 16, 188, 10, 23, 11, 380, 3792, 274, 254, 15582, 774, 452, 254, 1057, 45279, 286, 321, 2256, 281, 4070, 276, 254, 1057, 2504, 348, 580, 274, 254, 4532, 14, 5569, 248, 3027, 2662, 327, 254, 3792, 321, 274, 248, 1015, 45279, 286, 321, 2256, 281, 4070, 276, 248, 2504, 642, 683, 1093, 274, 254, 4532, 16, 188, 10, 24, 11, 1286, 254, 4532, 452, 5656, 327, 254, 15582, 3442, 17, 24200, 403, 282, 321, 10868, 407, 399, 5082, 14, 390, 603, 248, 3027, 555, 417, 10868, 248, 3442, 14, 390, 603, 254, 4532, 452, 417, 25398, 10868, 248, 3442, 14, 390, 603, 248, 3442, 555, 417, 643, 10868, 276, 8726, 343, 314, 22, 11, 390, 314, 23, 581, 254, 20605, 457, 85, 6852, 2992, 6370, 254, 749, 3442, 10, 85, 481, 188, 10, 19, 11, 330, 3027, 774, 5527, 248, 15582, 3442, 756, 603, 353, 8775, 327, 5819, 2159, 14, 533, 1862, 5884, 282, 811, 17871, 23834, 348, 282, 254, 37429, 414, 390, 13886, 274, 254, 15582, 3442, 14, 390, 603, 254, 3027, 8775, 327, 254, 3442, 1042, 417, 6894, 254, 31507, 5656, 328, 407, 254, 4532, 16, 330, 5527, 2992, 321, 9017, 282, 254, 7540, 32105, 4598, 841, 254, 3027, 1851, 2411, 6425, 274, 254, 13897, 286, 254, 5819, 328, 533, 254, 5527, 311, 1707, 16, 188, 10, 20, 11, 15556, 254, 14459, 15582, 3442, 17417, 85, 390, 254, 4532, 5041, 327, 254, 15582, 3442, 2992, 417, 321, 5618, 390, 327, 520, 17, 379, 16418, 2992, 321, 42126, 14, 254, 20605, 457, 85, 6852, 2992, 7415, 328, 254, 5527, 16, 188, 10, 19, 11, 1286, 248, 15582, 3442, 17417, 85, 14, 9517, 390, 324, 642, 4462, 311, 7722, 14, 1495, 3442, 2992, 321, 10868, 276, 8726, 343, 254, 1057, 4653, 348, 1093, 327, 3608, 282, 254, 13897, 274, 254, 3442, 1851, 24223, 14, 3838, 16, 188, 10, 20, 11, 1286, 248, 15582, 3442, 1042, 417, 765, 14388, 286, 14158, 14, 390, 603, 254, 3442, 457, 85, 642, 12451, 2474, 282, 254, 15779, 403, 417, 24325, 14, 248, 3027, 774, 2662, 254, 20605, 457, 85, 6852, 282, 7415, 1826, 254, 3442, 2992, 321, 7722, 16, 4801, 276, 254, 5759, 274, 819, 248, 2662, 14, 254, 20605, 457, 85, 6852, 774, 7957, 248, 3442, 328, 254, 9643, 5234, 276, 254, 338, 297, 6026, 274, 436, 12151, 16, 188, 10, 19, 11, 2028, 254, 4682, 18292, 5234, 276, 13724, 607, 311, 4936, 286, 254, 15582, 2672, 403, 5618, 14, 254, 7540, 32105, 2992, 12826, 254, 1068, 4227, 282, 254, 15582, 2672, 16, 7553, 27315, 14, 512, 17166, 2992, 321, 25059, 3468, 869, 254, 15582, 286, 254, 4532, 343, 9858, 282, 254, 7540, 32105, 14, 533, 3517, 254, 16468, 276, 254, 1068, 593, 327, 14, 603, 3202, 14, 353, 774, 9806, 254, 15582, 286, 254, 4532, 276, 17246, 327, 254, 1068, 41164, 7856, 286, 14158, 16, 188, 10, 19, 11, 380, 15582, 2992, 321, 4204, 286, 37429, 286, 2992, 5256, 327, 254, 4532, 403, 3994, 343, 13540, 286, 327, 1004, 3027, 311, 1635, 5118, 4954, 282, 1225, 695, 1068, 16, 188, 10, 20, 11, 380, 1068, 2992, 321, 17376, 407, 254, 15779, 286, 14, 830, 254, 15779, 403, 11249, 14, 407, 665, 642, 4653, 5656, 869, 254, 4532, 390, 14 ]

[ 1, 2868, 607, 1230, 18, 14, 286, 327, 1385, 748, 573, 643, 1815, 282, 321, 248, 35048, 2214, 14, 254, 1250, 18945, 17694, 7993, 2214, 276, 254, 1499, 16, 28821, 273, 369, 11620, 2984, 274, 254, 11899, 324, 254, 374, 18, 18, 24, 1230, 18, 25, 1260, 1028, 2868, 841, 14351, 607, 25, 24, 6438, 387, 272, 3278, 274, 848, 20, 16, 20, 27, 1648, 374, 13638, 286, 374, 2630, 13638, 16, 188, 35746, 835, 2956, 254, 473, 11060, 2868, 963, 14, 27664, 276, 801, 1619, 324, 254, 2379, 16, 1678, 14, 596, 29679, 286, 3542, 374, 1230, 18, 282, 5687, 276, 254, 33207, 16, 28821, 273, 369, 835, 26087, 324, 254, 771, 1194, 437, 1230, 28828, 14494, 41210, 6214, 274, 254, 3525, 8926, 14, 286, 276, 520, 5759, 14, 254, 43560, 497, 3065, 45788, 495, 1230, 18, 14, 4144, 282, 13610, 327, 520, 2214, 573, 1468, 25624, 811, 6214, 274, 254, 944, 1726, 473, 11060, 14405, 276, 1499, 24333, 16, 188, 35746, 1628, 324, 657, 25568, 14, 6789, 434, 18231, 324, 695, 763, 5723, 15, 484, 9862, 1385, 37116, 286, 5687, 328, 374, 26, 4929, 1269, 35226, 8426, 974, 274, 22733, 4577, 16, 496, 254, 801, 5723, 484, 2099, 1385, 37116, 14, 28821, 273, 11374, 811, 374, 276, 6789, 434, 338, 18, 24, 1382, 9903, 16, 496, 6789, 434, 1250, 286, 1364, 5723, 597, 2099, 14, 436, 671, 1385, 5687, 14, 28821, 273, 959, 4104, 282, 1041, 272, 3373, 14, 14351, 811, 813, 1063, 345, 369, 5856, 1055, 407, 742, 15, 1021, 5181, 26354, 17839, 609, 79, 711, 16, 188, 35746, 2956, 695, 3525, 8926, 4403, 343, 1241, 1361, 9862, 4405, 387, 23549, 4762, 14, 657, 33452, 85, 16, 28821, 273, 2900, 3297, 8158, 343, 272, 27826, 274, 338, 19, 21, 432, 890, 21, 38972, 327, 2818, 2537, 2712, 266, 14, 348, 6789, 497, 11056, 276, 374, 18, 21, 15, 6149, 9903, 1385, 13563, 16, 9673, 14351, 811, 374, 21, 276, 254, 1689, 3637, 1385, 254, 15881, 14, 6789, 1311, 715, 37962, 495, 23, 26, 286, 19714, 282, 3223, 407, 374, 20, 27, 6438, 16, 496, 615, 1689, 3637, 1385, 3561, 7334, 14, 6789, 715, 37962, 495, 25, 25, 17, 24, 1111, 13710, 4442, 4717, 276, 3525, 331, 8549, 16, 28821, 273, 669, 11374, 890, 19, 432, 890, 19, 14830, 14, 286, 3285, 254, 19530, 4612, 282, 4717, 338, 18, 14, 18, 18, 18, 473, 11060, 6438, 16, 9673, 3561, 7334, 1129, 338, 24, 18, 1269, 2863, 276, 254, 374, 19, 297, 687, 14, 596, 1497, 16171, 14, 10036, 890, 260, 25323, 324, 811, 813, 22, 6438, 16, 188, 35746, 34427, 11835, 324, 254, 5883, 444, 4240, 343, 615, 801, 3637, 4405, 387, 254, 743, 9174, 305, 5573, 1676, 29674, 28765, 276, 9174, 305, 5573, 16, 28821, 273, 4618, 327, 345, 369, 417, 1062, 17339, 343, 254, 561, 3313, 44816, 353, 347, 6805, 39105, 39636, 3333, 380, 9679, 13225, 369, 1382, 561, 670, 328, 495, 23, 14, 343, 520, 2214, 715, 36605, 495, 20, 20, 7004, 6524, 282, 338, 23, 26, 432, 12316, 3246, 16, 496, 248, 3637, 5042, 561, 687, 763, 1842, 14, 6789, 34427, 16020, 254, 1683, 1874, 407, 338, 18, 21, 6438, 16, 496, 615, 1689, 3637, 14, 6789, 1663, 597, 1385, 1656, 315, 28276, 276, 1495, 9067, 20391, 18291, 16, 826, 671, 254, 3637, 369, 35068, 282, 374, 20, 687, 85, 248, 1874, 16, 496, 254, 980, 6789, 1856, 407, 338, 18, 260, 25323, 343, 28821, 273, 417, 2876, 248, 4688, 282, 10193, 16, 496, 615, 1689, 3637, 1385, 5687, 14, 959, 276, 9174, 305, 5573, 14, 28821, 273, 11374, 248, 2630, 15, 9627, 14, 25866, 6789, 282, 248, 4941, 15, 15546, 293, 9903, 16, 2646, 417, 2876, 248, 10193, 276, 6789, 434, 5394, 274, 10726, 276, 32544, 8361, 14, 28821, 273, 332, 34495, 6789, 282, 9903, 276, 615, 1689, 3637, 1385, 23437, 30498, 276, 33177, 2866, 14, 343, 719, 24, 417, 561, 16, 33177, 2866, 369, 959, 254, 18231, 324, 6789, 434, 2379, 2155, 4175, 85, 3637, 14, 436, 671, 1385, 1427, 11795, 16, 9769, 15552, 254, 6438, 14, 28821, 273, 4061, 248, 2847, 291, 719, 24, 327, 2818, 4941, 13303, 14, 343, 520, 2214, 30558, 597, 615, 5793, 9903, 274, 254, 14405, 16, 2640, 520, 1770, 1012, 5715, 9535, 3149, 324, 254, 14405, 14, 596, 959, 2144, 597, 1385, 3561, 7334, 276, 254, 9753, 15, 12661, 16, 3561, 7334, 14, 663, 497, 295, 8627, 387, 374, 25, 17, 23, 14, 7207, 597, 4610, 6789, 338, 23, 18, 282, 3223, 16, 3996, 28821, 273, 374, 20, 14, 6789, 4214, 38219, 3561, 7334, 407, 813, 260, 25323, 16, 188, 510, 374, 18, 18, 25, 1230, 18, 26, 2956, 248, 743, 8458, 324, 6789, 14, 348, 2948, 3474, 506, 286, 3539, 569, 573, 1081, 13981, 387, 254, 980, 274, 254, 1985, 1260, 1028, 2868, 16, 380, 4523, 573, 2584, 624, 683, 338, 20, 23, 18, 5834, 260, 25323, 869, 729, 14, 286, 254, 756, 1241, 5834, 47232, 327, 6789, 573, 9353, 758, 28821, 273, 14, 2304, 1385, 5267, 276, 30951, 276, 374, 18, 18, 22, 286, 254, 763, 1385, 5687, 276, 374, 18, 18, 23, 14, 573, 512, 5699, 670, 580, 274, 254, 763, 497, 10776, 16, 3826, 327, 1081, 573, 4634, 14, 16661, 13500, 1826, 6789, 286, 28821, 273, 807, 6384, 615, 2251, 343, 615, 763, 1964, 9709, 8684, 11797, 16, 6789, 573, 417, 4405, 248, 5834, 1544, 254, 1260, 1028, 14, 1205, 1129, 3103, 276, 495, 20, 25623, 2433, 286, 4175, 18828, 20, 18, 3625, 319, 924, 16, 380, 2114, 2956, 963, 324, 6789, 29, 9619, 254, 801, 5834, 1385, 23437, 30498, 276, 39184, 407, 272, 27826, 286, 576, 18, 6438, 16, 28821, 273, 10620, 607, 24, 432, 848, 22, 14830, 314, 22838, 1694, 85, 11, 276, 6789, 434, 2194, 274, 607, 23, 19, 16, 380, 6175, 5834, 276, 23957, 435, 14, 2950, 28821, 273, 4717, 495, 19, 314, 24, 24, 14830, 11, 286, 607, 21, 417, 561, 314, 20, 1694, 85, 286, 248, 2712, 11, 276, 2824, 274, 520, 1683, 9287, 14, 348, 6789, 14887, 597, 254, 2868, 374, 1230, 18, 16, 28821, 273, 11374, 338, 22, 18, 6438, 387, 813, 18, 286, 2263, 1241, 30853, 16 ]

[ 1, 1668, 44725, 14, 7273, 19209, 85, 390, 11081, 16, 188, 32740, 1921, 28, 607, 26, 2122, 1246, 576, 18, 2122, 16, 188, 510, 2371, 5258, 40095, 311, 248, 1733, 47292, 7824, 27026, 16, 2371, 5258, 399, 9719, 403, 2013, 282, 21317, 2130, 276, 1921, 36007, 254, 5186, 21317, 472, 14, 3614, 254, 2371, 5258, 40095, 434, 28837, 486, 311, 27202, 16, 188, 686, 8404, 14, 254, 2371, 5258, 40095, 434, 3065, 758, 89, 721, 476, 321, 2254, 276, 4359, 282, 254, 3524, 8293, 2069, 16, 380, 8542, 286, 4179, 403, 254, 1057, 348, 324, 254, 21317, 472, 6362, 413, 16, 188, 7671, 5258, 399, 9719, 732, 3272, 265, 11401, 286, 17652, 343, 21317, 2130, 14, 282, 533, 596, 403, 8026, 2815, 16, 0, 3294, 436, 1110, 276, 618, 1464, 14, 254, 46709, 286, 254, 40269, 527, 452, 2411, 3555, 20797, 274, 11953, 16, 11261, 407, 1612, 310, 2941, 624, 668, 4128, 286, 254, 1499, 1444, 479, 939, 254, 1330, 5077, 286, 31355, 310, 2156, 7537, 282, 2014, 3983, 282, 16, 188, 57, 3186, 618, 1116, 282, 3408, 248, 8550, 432, 14743, 328, 618, 2377, 555, 9988, 479, 668, 618, 2860, 343, 24852, 16, 188, 30347, 324, 3709, 432, 248, 5812, 1051, 82, 454, 274, 9067, 555, 9988, 479, 668, 843, 310, 7858, 282, 12100, 3284, 16, 188, 57, 531, 273, 248, 5757, 274, 16577, 742, 618, 2377, 16222, 24961, 23225, 555, 9988, 479, 668, 618, 3621, 282, 1741, 343, 12078, 16, 188, 1031, 18106, 254, 1364, 2298, 274, 1773, 561, 274, 5340, 1063, 18534, 353, 555, 9988, 479, 668, 618, 14542, 282, 3570, 6349, 2110, 1789, 32581, 75, 16, 71, 16, 30103, 11, 10469, 254, 980, 16, 188, 8209, 16440, 440, 17592, 14, 20149, 618, 9704, 282, 836, 1330, 3284, 286, 6817, 4128, 843, 596, 1503, 1115, 561, 276, 642, 3551, 276, 618, 1464, 6923, 643, 15645, 9604, 16, 310, 4316, 254, 801, 671, 310, 8123, 254, 2875, 2486, 15154, 765, 274, 18202, 248, 8550, 44268, 286, 14743, 328, 618, 2377, 4415, 310, 369, 24961, 7618, 23225, 2049, 248, 27897, 3425, 2734, 618, 1683, 16, 731, 369, 248, 3396, 286, 32368, 1362, 16, 2666, 2718, 13748, 17252, 4112, 16, 2666, 16577, 91, 3461, 17252, 19250, 16, 31141, 310, 852, 748, 310, 573, 1845, 2152, 28, 4996, 618, 1116, 747, 248, 7779, 276, 2824, 274, 618, 2377, 282, 3889, 4128, 16, 1268, 835, 310, 4285, 282, 513, 1594, 310, 573, 1582, 2152, 28, 1315, 729, 321, 16, 188, 57, 16011, 618, 9704, 282, 248, 1603, 19250, 8727, 3081, 254, 4658, 593, 18450, 14887, 1444, 618, 19004, 369, 20369, 16, 2666, 6173, 3285, 2094, 286, 5079, 16, 2666, 12261, 286, 8846, 40274, 16, 310, 3428, 747, 310, 2980, 282, 6738, 561, 618, 4658, 286, 12112, 18665, 2909, 401, 9019, 21227, 16959, 401, 9314, 3, 1268, 324, 254, 944, 628, 310, 1848, 457, 86, 12186, 310, 6919, 328, 254, 40231, 328, 618, 2069, 286, 254, 18846, 274, 618, 6173, 16, 1223, 603, 310, 3428, 618, 1116, 10638, 324, 618, 2377, 310, 650, 1076, 282, 836, 43008, 16, 188, 1253, 436, 2705, 9988, 479, 369, 417, 327, 310, 933, 1845, 321, 4344, 343, 248, 11859, 274, 19250, 8857, 15, 927, 20593, 687, 618, 2377, 747, 248, 1361, 274, 30031, 15594, 1152, 561, 274, 1683, 324, 254, 801, 671, 16, 731, 369, 34941, 254, 7697, 286, 3405, 40231, 327, 28860, 248, 4733, 282, 24852, 390, 21344, 14, 533, 403, 10179, 310, 457, 79, 2056, 360, 512, 452, 3428, 16, 2028, 7290, 248, 24625, 1354, 5982, 324, 633, 785, 276, 2824, 274, 633, 2214, 390, 7605, 368, 1242, 282, 1872, 436, 33082, 5311, 276, 633, 11171, 14, 633, 8846, 6681, 560, 14, 633, 6173, 2094, 560, 286, 512, 368, 961, 282, 513, 311, 6738, 561, 274, 633, 4658, 286, 41269, 769, 53, 1866, 3789, 49, 1791, 16959, 401, 26646, 25807, 1675, 11288, 1223, 14, 282, 321, 8055, 14, 368, 457, 70, 452, 1033, 977, 282, 1041, 327, 4188, 16, 1268, 368, 669, 452, 1495, 4188, 16, 1395, 476, 20668, 14, 11352, 248, 6173, 14, 43544, 633, 4662, 390, 5854, 3026, 286, 835, 1270, 2555, 314, 53, 16, 54, 16, 49, 16, 50, 481, 188, 1516, 311, 2075, 310, 1052, 353, 254, 416, 32455, 11709, 974, 811, 747, 843, 254, 1887, 14, 1034, 30899, 862, 387, 254, 4873, 274, 248, 23941, 476, 321, 25228, 888, 282, 248, 1330, 14, 9791, 8577, 14, 310, 7573, 2780, 327, 772, 9704, 282, 1887, 3284, 276, 772, 4701, 32581, 71, 16, 73, 16, 9888, 597, 343, 248, 7626, 14, 10036, 248, 2545, 14, 1129, 8290, 407, 248, 7434, 580, 3838, 11, 476, 321, 25228, 888, 282, 772, 9704, 282, 254, 1330, 14, 9791, 3284, 360, 2705, 14938, 14, 532, 403, 2156, 24404, 274, 16, 2807, 7353, 6425, 274, 618, 9704, 282, 836, 9791, 3284, 14, 6817, 4128, 748, 836, 9704, 1503, 1563, 324, 642, 3551, 276, 618, 1464, 286, 1938, 328, 13511, 282, 3669, 12997, 282, 729, 14, 310, 1872, 348, 2101, 310, 457, 79, 24961, 324, 670, 254, 1887, 3284, 1663, 2049, 16, 188, 8209, 1015, 1111, 395, 7754, 12161, 1111, 2440, 3177, 274, 23751, 286, 44464, 1827, 15, 258, 43131, 555, 2411, 248, 8575, 324, 479, 1012, 1081, 1525, 4128, 14, 532, 669, 1093, 1444, 479, 29, 26272, 254, 8683, 268, 432, 1789, 282, 11504, 286, 7537, 713, 1789, 282, 26021, 286, 2941, 668, 16, 188, 424, 3711, 2910, 315, 626, 497, 2110, 3551, 274, 618, 2377, 327, 497, 624, 7786, 683, 2489, 32581, 75, 16, 71, 16, 8857, 274, 618, 11172, 14, 18266, 274, 618, 6037, 286, 618, 30992, 2280, 41786, 533, 1143, 353, 624, 2746, 282, 11308, 254, 20788, 282, 417, 1810, 256, 729, 1919, 16, 0, 38, 9792, 555, 6622, 1125, 5384, 15809, 14, 1648, 248, 2868, 274, 10264, 13654, 708, 29770, 6834, 14, 2049, 343, 248, 7456, 792, 274, 29770, 14, 286, 624, 3970, 520, 5427, 17, 21707, 2868, 328, 23026, 343, 1427, 2728, 13320, 4966, 4771, 2267, 16, 20261, 311, 248, 21840, 663, 555, 44148, 387, 254, 1708, 274, 254, 1062, 10727, 4715, 345, 6344, 36343, 286, 4828, 2900, 16, 750, 555, 669, 573, 248, 8105, 4212, 343, 520, 3425, 347, 43, 715, 254, 3327, 14, 3957 ]

[ 1, 533, 311, 254, 9490, 16, 188, 54, 313, 4451, 311, 8171, 282, 2367, 343, 42991, 387, 37132, 8498, 974, 701, 11220, 276, 4782, 942, 254, 4954, 282, 321, 44350, 16, 16228, 5346, 324, 580, 457, 85, 1193, 1738, 14, 5077, 286, 5708, 9898, 311, 254, 977, 274, 1910, 14551, 16, 15771, 4451, 367, 1471, 294, 489, 5986, 555, 2958, 3819, 276, 7208, 286, 10743, 348, 248, 2079, 7151, 276, 388, 527, 256, 4967, 10663, 7964, 22675, 72, 4580, 16, 188, 48, 1220, 17702, 7143, 14, 354, 16, 38, 16, 555, 643, 24961, 23635, 609, 276, 35591, 324, 338, 18, 1090, 343, 248, 2683, 328, 3015, 6083, 1738, 16, 5891, 671, 345, 555, 2254, 254, 7169, 274, 16472, 14, 348, 963, 348, 615, 29012, 3405, 286, 11929, 15823, 16, 2640, 254, 3177, 327, 18711, 85, 403, 900, 324, 1480, 1125, 942, 14, 286, 324, 1480, 23795, 9633, 274, 671, 14, 345, 555, 7221, 37132, 8498, 276, 254, 3409, 274, 1949, 273, 624, 8642, 286, 1408, 15, 33582, 7082, 282, 44014, 16, 188, 1130, 555, 643, 618, 15423, 286, 1157, 19413, 282, 785, 343, 248, 9726, 274, 942, 276, 2624, 2230, 466, 317, 1091, 432, 38536, 286, 28902, 4531, 5495, 282, 2958, 8841, 286, 1321, 7827, 16, 12859, 8854, 15487, 1869, 282, 479, 276, 338, 27, 26, 25, 286, 555, 643, 272, 14997, 4584, 2378, 1544, 16, 496, 618, 2318, 2705, 1125, 1914, 32211, 497, 900, 276, 254, 4531, 28, 4229, 352, 84, 2813, 14, 1416, 286, 3327, 4767, 14, 254, 5527, 2211, 286, 1676, 8451, 282, 1390, 248, 1603, 16, 657, 696, 497, 1181, 3248, 276, 1093, 1842, 16, 380, 1040, 274, 254, 45887, 369, 9441, 348, 1726, 348, 18078, 4229, 31608, 16472, 16, 11909, 4654, 1845, 2956, 254, 1362, 16, 5891, 254, 1090, 343, 254, 10428, 14702, 37734, 4531, 19354, 14, 353, 3032, 944, 276, 15, 31462, 1914, 555, 643, 7722, 407, 254, 11358, 274, 18866, 16472, 16, 826, 311, 1972, 3657, 276, 254, 1068, 274, 10089, 889, 8750, 16, 47139, 3032, 282, 321, 254, 11358, 1914, 4590, 2499, 683, 7160, 16, 4772, 274, 436, 5176, 310, 641, 3248, 5565, 282, 785, 276, 248, 4531, 4610, 16, 188, 24073, 310, 452, 643, 3103, 343, 254, 2443, 274, 12469, 1104, 4373, 4076, 407, 8838, 282, 867, 597, 248, 331, 7727, 10504, 8028, 276, 254, 1922, 3242, 1561, 3816, 533, 555, 2254, 22539, 5511, 3778, 274, 1104, 4373, 6676, 10499, 16, 7823, 9138, 2811, 327, 310, 41928, 276, 369, 15111, 328, 27128, 6874, 276, 38007, 14, 17507, 16, 740, 473, 20643, 41393, 7151, 286, 616, 473, 20643, 41393, 14914, 5325, 248, 1683, 327, 369, 16753, 324, 848, 12469, 8583, 282, 3051, 276, 324, 615, 10168, 14, 4065, 286, 1863, 615, 6676, 369, 248, 802, 1668, 16, 380, 1305, 286, 4584, 596, 2865, 3419, 836, 2185, 254, 4688, 286, 254, 3621, 282, 1242, 615, 1491, 7160, 286, 3419, 729, 254, 5493, 282, 2411, 14037, 343, 248, 9779, 11823, 16, 188, 3294, 436, 3798, 274, 618, 1464, 310, 715, 11213, 282, 8272, 618, 2705, 343, 21164, 286, 5495, 327, 452, 254, 21037, 1294, 274, 2367, 2502, 1972, 7160, 16, 188, 45796, 337, 457, 85, 1464, 785, 555, 643, 8838, 3054, 254, 3184, 274, 942, 457, 85, 4701, 16, 1469, 555, 2152, 436, 939, 785, 276, 254, 28451, 286, 324, 11216, 18903, 29, 432, 2367, 343, 942, 663, 452, 2623, 15496, 282, 8189, 2706, 8856, 282, 2411, 28158, 1827, 15, 29925, 14, 282, 36266, 286, 6324, 248, 2025, 4513, 327, 369, 248, 11897, 14311, 274, 3015, 4458, 324, 942, 276, 11089, 26798, 16, 1469, 28520, 3089, 6319, 432, 21412, 282, 11905, 16, 1469, 555, 4168, 343, 942, 663, 452, 7212, 1015, 3395, 274, 14563, 286, 663, 10888, 343, 21429, 390, 6083, 9490, 16, 1469, 311, 9899, 276, 6398, 9062, 496, 10298, 9515, 6267, 4480, 286, 254, 2456, 274, 1948, 2930, 8126, 3519, 10067, 7346, 314, 9314, 85, 481, 1469, 555, 8158, 6344, 942, 1041, 4631, 939, 6507, 248, 22643, 1305, 975, 286, 33449, 729, 1074, 13893, 12866, 276, 254, 3015, 16, 35228, 6382, 248, 39269, 274, 3847, 286, 10243, 11050, 4110, 432, 26798, 6640, 286, 248, 10436, 457, 85, 45119, 19360, 1823, 276, 8530, 15177, 11050, 432, 44974, 31308, 6640, 36339, 4580, 16, 35228, 311, 272, 45076, 289, 23937, 286, 28520, 1129, 3812, 276, 3629, 16, 1469, 669, 28520, 12061, 14, 4221, 14, 4731, 254, 1453, 413, 286, 8864, 671, 343, 1157, 3732, 16, 188, 25942, 378, 3098, 6323, 276, 2314, 343, 5099, 24127, 670, 345, 801, 867, 520, 2836, 328, 436, 1213, 1125, 1090, 3502, 16, 731, 311, 20999, 286, 2217, 776, 14, 19306, 1594, 3555, 3198, 775, 2778, 285, 345, 2225, 14, 353, 311, 248, 10727, 286, 345, 14131, 18256, 3, 8873, 5099, 24127, 311, 669, 17395, 286, 11990, 580, 282, 321, 6919, 286, 1712, 386, 1205, 2367, 343, 12571, 14, 15748, 268, 5457, 14, 3189, 286, 254, 1213, 274, 11887, 286, 12020, 16, 9360, 580, 457, 85, 2836, 2714, 9960, 457, 311, 13286, 713, 2714, 74, 2088, 457, 276, 248, 2563, 274, 7061, 16, 22495, 24127, 20712, 272, 9331, 1408, 1919, 432, 615, 3405, 286, 8756, 2977, 286, 348, 8452, 2957, 28, 769, 1130, 311, 248, 2675, 2115, 282, 2314, 286, 282, 2411, 21808, 668, 11288, 1664, 311, 272, 356, 19862, 3179, 282, 436, 10786, 533, 345, 10482, 343, 248, 6920, 22312, 16, 8452, 14131, 254, 4333, 274, 37132, 8498, 286, 6039, 3113, 254, 4954, 282, 2169, 283, 254, 2314, 324, 286, 10727, 274, 5099, 24127, 276, 254, 42991, 663, 403, 42683, 615, 4701, 286, 29301, 20972, 6750, 16, 188, 40, 9850, 286, 11413, 274, 6683, 8493, 995, 3567, 16, 188, 7507, 16, 5945, 12797, 1048, 311, 669, 254, 20605, 274, 4852, 4239, 500, 16, 5945, 12797, 1048, 29459, 14, 3567, 896, 248, 17047, 6577, 14, 286, 311, 254, 14794, 286, 8398, 2664, 5739, 274, 473, 7178, 5461, 14699, 5044, 14, 4095, 276, 338, 27, 27, 20, 16, 473, 7178, 311, 248, 417, 15, 1507, 15, 15177, 14235, 5833, 343, 36221, 5495, 324, 5060, 5150, 10563, 14, 11284, 14, 5436, 2317, 14, 19636, 14, 286, 38055, 14, 348, 963, 348, 802, 15, 4506, 14235, 4584, 2024, 14, 272, 5497, 10066, 5035, 14, 286, 380, 27682 ]

[ 1, 27102, 36444, 260, 17136, 403, 1733, 14, 532, 10054, 596, 774, 2759, 368, 282, 3177, 9394, 16649, 286, 3290, 368, 272, 15931, 3083, 16, 496, 1068, 254, 36444, 260, 17136, 452, 4800, 4561, 14, 368, 476, 16129, 248, 16010, 282, 16010, 348, 248, 898, 274, 254, 4561, 16, 1268, 670, 353, 1623, 311, 248, 47728, 41882, 14, 835, 368, 476, 5440, 811, 889, 633, 9620, 282, 1989, 254, 4561, 16, 50, 964, 1024, 1582, 260, 800, 254, 4561, 7004, 974, 353, 774, 321, 561, 274, 5127, 16, 11166, 254, 41882, 4417, 282, 321, 43861, 14, 368, 452, 282, 5440, 417, 1989, 353, 16, 33461, 254, 41882, 282, 2257, 5909, 328, 248, 34668, 5224, 811, 747, 248, 439, 1277, 3182, 11673, 390, 6648, 248, 476, 274, 4561, 46936, 21158, 407, 1851, 248, 9791, 28803, 16, 1180, 254, 1865, 327, 1910, 4561, 260, 17136, 403, 19402, 14, 593, 327, 368, 1339, 452, 282, 2874, 343, 729, 248, 1157, 2874, 624, 23186, 1538, 16, 10068, 2056, 327, 327, 368, 5053, 282, 889, 254, 1157, 439, 1277, 81, 375, 286, 1580, 398, 324, 254, 36444, 260, 17136, 16, 7709, 368, 24096, 671, 324, 368, 282, 9165, 688, 14822, 4584, 274, 41882, 1914, 5495, 16, 496, 1068, 368, 1582, 889, 4426, 3462, 324, 254, 260, 17136, 14, 596, 774, 6280, 597, 328, 254, 997, 483, 3136, 21849, 286, 276, 1125, 2153, 5291, 615, 3189, 319, 16, 35, 624, 2378, 30270, 2169, 274, 4561, 19784, 311, 10466, 248, 4561, 10988, 16, 1547, 1441, 624, 286, 624, 7406, 14, 21026, 282, 248, 3736, 1162, 274, 1017, 6051, 8219, 27200, 4264, 2211, 274, 2181, 16, 2028, 254, 5702, 311, 11102, 407, 248, 3989, 9899, 14, 9595, 20370, 14, 254, 2379, 1508, 476, 321, 1464, 15, 27304, 16, 330, 4561, 10988, 311, 3256, 417, 324, 3997, 328, 254, 642, 1116, 16, 731, 434, 1845, 5534, 5702, 1914, 11102, 1637, 683, 9884, 34781, 10882, 286, 669, 1129, 5384, 274, 254, 1213, 15334, 2154, 282, 254, 14670, 274, 14369, 314, 19550, 11, 4561, 4892, 254, 21448, 2876, 276, 12180, 1738, 16, 2148, 368, 282, 7415, 282, 7274, 254, 3834, 2115, 4684, 14, 254, 1964, 6280, 368, 587, 452, 282, 1041, 807, 321, 282, 2536, 1444, 763, 14544, 274, 260, 17136, 28, 254, 12983, 9104, 348, 963, 348, 1910, 4561, 9104, 16, 8493, 594, 274, 836, 1663, 276, 2006, 11490, 286, 9569, 286, 669, 452, 615, 5680, 286, 23041, 16, 740, 12983, 41882, 311, 5118, 14, 1002, 593, 353, 3672, 248, 14542, 282, 17326, 14799, 286, 353, 476, 321, 624, 27829, 282, 1354, 1521, 274, 16, 4801, 1205, 248, 1910, 4561, 41882, 311, 624, 23810, 39821, 25210, 862, 36250, 286, 33470, 1034, 14, 353, 1623, 311, 4236, 91, 16, 0, 1516, 369, 618, 801, 9205, 3238, 378, 6184, 275, 286, 310, 369, 1062, 8814, 16, 2666, 6023, 369, 432, 2702, 2011, 500, 4206, 14228, 387, 719, 28, 21, 18, 5207, 16, 1664, 369, 248, 9205, 274, 4414, 607, 20, 2942, 348, 254, 6023, 369, 3447, 407, 576, 2942, 16, 2666, 18259, 369, 626, 282, 4615, 479, 387, 254, 13941, 45293, 17696, 4516, 16, 188, 510, 801, 2115, 310, 8123, 841, 10638, 13941, 45293, 369, 254, 7742, 16, 380, 7742, 274, 13941, 45293, 2758, 369, 14724, 276, 254, 1722, 274, 2470, 343, 688, 32391, 14, 533, 369, 1623, 8691, 324, 665, 3605, 5237, 942, 16, 188, 3116, 18259, 2144, 387, 254, 17696, 4516, 343, 520, 8086, 24743, 75, 310, 15, 20, 18, 16, 826, 369, 618, 801, 2705, 327, 2996, 2144, 282, 4615, 479, 343, 520, 1096, 276, 248, 4516, 16, 310, 369, 1623, 17741, 1033, 7061, 274, 618, 1464, 276, 13941, 45293, 2758, 16, 2646, 248, 9205, 274, 495, 23, 2819, 432, 254, 17696, 4516, 14, 360, 4774, 254, 9962, 16, 496, 254, 2342, 14, 618, 248, 329, 554, 286, 374, 15, 34988, 497, 1225, 14, 30160, 479, 16, 1260, 353, 369, 3136, 3447, 387, 1444, 338, 19, 28, 18, 18, 5207, 14, 360, 852, 417, 7924, 772, 671, 286, 2350, 282, 3598, 841, 17741, 618, 7383, 8725, 428, 10859, 286, 11471, 16, 188, 4412, 31031, 324, 374, 1842, 387, 618, 18259, 434, 1619, 14, 353, 369, 254, 671, 282, 452, 248, 4741, 274, 254, 13941, 45293, 3124, 16, 2666, 18259, 2117, 479, 512, 254, 4139, 274, 254, 4902, 327, 403, 6397, 11268, 407, 3997, 663, 3144, 282, 13941, 45293, 324, 254, 801, 671, 16, 750, 669, 1862, 2501, 286, 2117, 479, 254, 1643, 14634, 274, 512, 327, 4902, 16, 188, 510, 801, 1619, 310, 9448, 282, 4010, 369, 254, 16057, 274, 6032, 40280, 2011, 14, 533, 311, 1225, 276, 512, 254, 4105, 274, 5267, 348, 963, 348, 3238, 5267, 16, 380, 1390, 274, 327, 16057, 311, 1638, 77, 584, 14, 533, 311, 248, 1062, 4489, 1619, 276, 13941, 45293, 16, 380, 4010, 369, 1623, 4269, 286, 310, 1623, 11042, 248, 2187, 626, 16, 188, 4412, 327, 310, 2350, 282, 8307, 24333, 21056, 276, 13941, 45293, 14, 533, 311, 5478, 1029, 1298, 13379, 2229, 43, 21056, 16, 731, 369, 669, 248, 5167, 1619, 282, 4010, 16, 188, 3992, 695, 671, 4010, 254, 7478, 4902, 274, 13941, 45293, 747, 310, 32534, 13941, 45293, 14, 310, 2805, 13941, 45293, 16, 1664, 311, 248, 1619, 1869, 444, 9401, 26257, 1811, 44058, 276, 13941, 45293, 497, 512, 254, 1708, 944, 354, 9182, 4273, 452, 615, 13760, 16, 1838, 310, 11268, 29923, 2758, 348, 963, 16, 188, 9056, 276, 254, 1360, 369, 248, 4149, 407, 254, 13941, 45293, 38466, 16, 826, 369, 618, 801, 2705, 328, 248, 38466, 6023, 286, 310, 1623, 11042, 248, 2187, 16, 188, 4412, 8864, 1603, 1842, 276, 28215, 45293, 14, 310, 1143, 248, 4010, 282, 46721, 484, 44654, 276, 1223, 74, 376, 33810, 16, 46721, 484, 8431, 11638, 36414, 311, 248, 1062, 8307, 17937, 1619, 274, 5267, 286, 1062, 942, 1652, 254, 4688, 282, 4010, 436, 16057, 286, 310, 369, 580, 274, 729, 16, 310, 2350, 282, 309, 2932, 12116, 1176, 43, 27363, 35550, 43, 16057, 407, 248, 22071, 1643, 286, 353, 369, 248, 9205, 274, 624, 683, 848, 2942, 16, 731, 369, 1623, 248, 247, 4123, 9205, 532, 310, 369, 8814, 974, 310, 807, 4010, 254, 6032, 11638, 36414, 16, 731, 311, 2674, 848 ]

[ 1, 414, 286, 8031, 4541, 14, 403, 900, 324, 254, 5485, 274, 3997, 16, 18821, 9795, 274, 248, 5779, 274, 2155, 15, 358, 1473, 592, 29, 436, 587, 23691, 2353, 254, 11343, 11444, 274, 5473, 1615, 286, 3004, 248, 7656, 2490, 276, 772, 1615, 5192, 16, 188, 30021, 34945, 8571, 286, 254, 5945, 6834, 310, 1141, 436, 311, 756, 38400, 328, 254, 888, 274, 272, 5060, 29107, 2035, 14, 343, 248, 1499, 15, 4223, 9599, 327, 4343, 12832, 282, 321, 9245, 432, 830, 596, 403, 2066, 282, 830, 596, 403, 2961, 16, 188, 30021, 25525, 14967, 23698, 310, 1038, 457, 86, 1141, 436, 4681, 324, 13597, 476, 321, 3436, 4220, 1289, 407, 29487, 5288, 21311, 16, 16059, 1081, 274, 729, 310, 715, 417, 5320, 282, 11686, 248, 2365, 2520, 274, 5534, 8101, 274, 2269, 324, 8088, 14, 6648, 6582, 14, 274, 1090, 974, 274, 248, 3316, 39084, 274, 254, 3629, 274, 2417, 16, 22176, 311, 18893, 286, 44286, 16, 32711, 10993, 348, 963, 348, 4153, 452, 282, 1041, 6902, 668, 843, 282, 7030, 877, 286, 8494, 353, 16, 188, 2432, 403, 3265, 12255, 282, 5899, 1575, 14, 254, 9239, 274, 5899, 8684, 286, 254, 4848, 5553, 286, 22836, 274, 7924, 1129, 763, 4607, 6490, 16, 380, 743, 5808, 274, 8827, 1482, 42502, 286, 254, 2363, 274, 5899, 11463, 1503, 963, 513, 1919, 343, 836, 7155, 687, 254, 1689, 374, 18, 1090, 390, 593, 286, 14, 276, 254, 22141, 14, 310, 3409, 327, 360, 476, 452, 248, 30002, 286, 7976, 8652, 1444, 254, 4466, 2066, 282, 441, 14, 248, 8652, 1707, 328, 1885, 286, 417, 14348, 16, 0, 686, 338, 27, 20, 25, 14, 40763, 399, 966, 1277, 573, 248, 26009, 9301, 1916, 248, 1062, 2628, 1659, 26166, 713, 520, 11485, 17, 521, 2604, 276, 7580, 16, 731, 5325, 4680, 520, 13714, 286, 520, 14911, 432, 254, 2244, 345, 900, 348, 520, 11485, 14, 13782, 1241, 8247, 960, 756, 580, 867, 274, 33575, 266, 286, 580, 3260, 16, 188, 11371, 71, 14, 338, 19, 416, 489, 10104, 5138, 311, 248, 2875, 42254, 758, 38069, 274, 254, 10450, 274, 254, 7680, 348, 248, 4721, 6988, 869, 580, 8014, 286, 254, 1689, 16, 7614, 274, 5742, 248, 3260, 286, 4735, 282, 1495, 2244, 286, 10902, 254, 3260, 3108, 368, 14, 1438, 432, 580, 3954, 282, 1495, 14, 5991, 71, 14, 338, 19, 416, 489, 10104, 5138, 5827, 254, 3260, 282, 452, 248, 24310, 14, 24459, 474, 1142, 16, 1599, 5392, 254, 3260, 328, 580, 2244, 968, 305, 682, 248, 32794, 274, 254, 642, 763, 9692, 14, 974, 353, 25690, 254, 3260, 432, 254, 7680, 869, 729, 16, 188, 686, 5991, 71, 14, 338, 19, 416, 489, 10104, 5138, 14, 254, 13843, 274, 580, 2245, 968, 305, 682, 248, 22481, 2292, 274, 254, 763, 5615, 14, 2743, 15, 28023, 729, 4680, 580, 1495, 14, 41553, 1923, 254, 23631, 274, 615, 1999, 22212, 282, 4565, 248, 9508, 3954, 17, 5477, 16, 826, 311, 248, 4715, 1919, 432, 440, 995, 286, 8518, 995, 713, 10183, 14, 1919, 432, 10256, 713, 5442, 14, 713, 15209, 16, 380, 785, 7807, 327, 353, 457, 85, 7282, 282, 4124, 1269, 254, 39249, 274, 254, 2391, 29, 327, 360, 4319, 343, 441, 1845, 248, 2713, 91, 24718, 274, 815, 15, 3859, 1055, 3954, 17, 30598, 407, 533, 360, 1074, 9113, 2840, 14, 286, 533, 4683, 772, 2687, 282, 2687, 9898, 282, 248, 15154, 5900, 16, 1223, 3614, 772, 7353, 311, 2277, 19262, 14, 353, 457, 85, 436, 2277, 361, 41760, 533, 4343, 441, 282, 915, 14, 533, 15257, 254, 3112, 324, 1949, 2181, 16, 4801, 2101, 1004, 743, 2181, 14, 1004, 743, 3954, 17, 5477, 14, 1339, 321, 5094, 276, 2349, 274, 254, 1668, 14, 2631, 476, 321, 16620, 974, 274, 254, 12442, 17118, 286, 8111, 1295, 274, 512, 3954, 17, 30598, 16, 11922, 14, 436, 2427, 457, 86, 1394, 282, 19555, 29, 254, 11646, 4303, 4409, 248, 2110, 2169, 274, 1316, 16, 188, 686, 5991, 71, 14, 338, 19, 416, 489, 10104, 5138, 14, 495, 657, 10197, 1114, 16830, 21863, 252, 286, 642, 7242, 14, 399, 966, 1277, 33842, 520, 6679, 42379, 4264, 975, 256, 5670, 14, 533, 16728, 1385, 4688, 286, 2417, 314, 349, 592, 311, 16013, 276, 4959, 481, 496, 248, 7726, 1026, 14, 975, 256, 5670, 311, 248, 2169, 274, 30943, 1051, 274, 254, 6340, 4865, 274, 4752, 14, 248, 14126, 274, 5876, 14, 248, 4988, 276, 254, 6215, 274, 4715, 16, 4021, 256, 5670, 758, 43359, 16494, 274, 512, 9104, 14, 286, 407, 6697, 14, 8840, 14, 533, 345, 7593, 282, 758, 7124, 939, 254, 1218, 1088, 792, 14121, 22, 11, 33808, 554, 3038, 311, 248, 2169, 274, 975, 256, 5670, 16, 399, 966, 1277, 3470, 457, 86, 248, 21868, 7250, 382, 390, 248, 34874, 3823, 382, 29, 345, 24388, 8434, 14, 17312, 14, 19978, 14, 2654, 1114, 14, 5876, 14, 1571, 2757, 1273, 16, 750, 3155, 327, 4866, 555, 282, 14265, 877, 561, 274, 254, 8640, 282, 1305, 6646, 4715, 14, 532, 345, 6392, 327, 4866, 311, 756, 2378, 248, 571, 35343, 7173, 274, 33468, 14, 1493, 282, 10301, 387, 254, 5757, 274, 248, 7650, 16, 496, 399, 966, 1277, 457, 85, 671, 254, 4959, 11112, 274, 13050, 3303, 254, 2546, 1289, 251, 282, 321, 338, 17, 19, 18, 24, 274, 254, 4047, 432, 254, 1274, 1065, 282, 254, 5976, 15462, 939, 7580, 14, 6432, 348, 254, 2245, 869, 763, 10597, 276, 30370, 328, 248, 31126, 15, 344, 28414, 2453, 13820, 276, 272, 10542, 6363, 14685, 69, 1106, 758, 254, 2758, 16, 1180, 495, 657, 10197, 1114, 16830, 21863, 252, 399, 966, 1277, 2541, 1241, 1289, 251, 1034, 15652, 274, 2787, 286, 8013, 729, 4680, 248, 18316, 432, 248, 4747, 274, 580, 1289, 251, 14, 835, 4092, 729, 343, 935, 80, 759, 286, 900, 729, 348, 20055, 324, 254, 4987, 274, 248, 867, 274, 863, 25747, 474, 9994, 5493, 29, 1241, 14461, 440, 15, 10697, 429, 9052, 14, 14584, 276, 248, 3692, 533, 573, 3661, 24171, 248, 8944, 20486, 867, 16, 496, 1040, 14, 495, 657, 10197, 1114, 16830, 21863, 252, 9917, 254, 4333, 274, 254, 31126, 15, 344, 28414, 2453, 888, 1051, 713, 254, 8640, 286, 4003, 353 ]

[ 1, 911, 15186, 343, 5054, 310, 5926, 254, 356, 40329, 5799, 16, 0, 510, 7899, 274, 254, 20082, 4580, 274, 4704, 3184, 14699, 706, 28205, 14699, 311, 282, 321, 254, 1964, 13330, 1525, 254, 2104, 274, 17131, 14699, 276, 2349, 274, 21745, 273, 1017, 3184, 4584, 16, 1860, 1901, 248, 13153, 274, 1240, 327, 774, 7834, 254, 3371, 282, 5711, 254, 5060, 9836, 274, 3847, 1565, 343, 248, 3555, 1460, 274, 7716, 9974, 422, 286, 8698, 20554, 14, 42216, 3017, 274, 13251, 17511, 14852, 14, 25047, 286, 254, 29536, 274, 248, 2958, 21776, 298, 274, 1988, 16, 188, 3294, 254, 2687, 9299, 348, 2211, 6480, 387, 10371, 30791, 4580, 286, 45196, 328, 254, 16878, 30859, 274, 3847, 286, 11100, 14, 11811, 11552, 13245, 387, 2948, 19546, 2421, 286, 254, 1427, 40178, 6640, 274, 33790, 286, 11100, 19628, 587, 2692, 321, 13220, 597, 254, 27256, 2024, 387, 27910, 5225, 8387, 4580, 276, 254, 3535, 20707, 4272, 14, 13165, 14, 830, 701, 18378, 616, 11485, 17, 45302, 2342, 16, 188, 510, 41424, 3568, 476, 7620, 1394, 282, 512, 9104, 274, 8533, 8856, 4619, 248, 2413, 274, 1416, 16582, 432, 2367, 348, 272, 9306, 14, 5983, 4311, 38100, 32560, 324, 20228, 286, 7905, 14, 27256, 5537, 1525, 32775, 286, 39284, 14, 41353, 14, 282, 6324, 28515, 16, 188, 1212, 3831, 282, 254, 1321, 6490, 274, 254, 35767, 274, 10786, 276, 9389, 977, 436, 2687, 14, 26390, 254, 1733, 14, 2156, 440, 42367, 1844, 533, 254, 3608, 14235, 452, 2600, 687, 13638, 1091, 286, 3906, 282, 1115, 1091, 276, 1081, 772, 9575, 4701, 286, 1525, 254, 13815, 14, 8590, 10542, 16, 188, 510, 22975, 276, 28205, 14699, 286, 10967, 311, 248, 628, 274, 248, 4698, 274, 28205, 5329, 2237, 14, 1033, 274, 533, 4107, 272, 4954, 324, 6649, 5588, 343, 7478, 14, 27188, 14, 286, 642, 17511, 21196, 282, 889, 327, 4569, 2502, 254, 11905, 274, 272, 30318, 11514, 3568, 327, 1004, 11627, 1895, 615, 7478, 3981, 286, 47669, 353, 348, 628, 274, 272, 732, 34724, 23850, 16, 0, 14068, 918, 5486, 428, 248, 24922, 2485, 428, 311, 7729, 282, 248, 2135, 6752, 19958, 276, 254, 33496, 589, 12794, 16, 188, 1212, 1970, 254, 2835, 274, 843, 30026, 40105, 6398, 918, 5486, 900, 248, 1330, 10812, 9259, 276, 6187, 19743, 348, 628, 274, 248, 439, 4949, 3170, 274, 1656, 3184, 28278, 2937, 324, 4117, 7334, 16, 380, 28278, 369, 593, 2978, 14, 327, 353, 369, 9421, 282, 5416, 276, 2963, 16, 188, 14068, 918, 5486, 311, 7729, 282, 248, 2135, 6752, 19958, 276, 254, 33496, 589, 12794, 16, 496, 374, 18, 18, 24, 624, 327, 338, 18, 18, 470, 18, 18, 942, 6323, 2765, 841, 248, 6044, 14, 8105, 2059, 407, 6398, 918, 5486, 1140, 3854, 12473, 7924, 282, 254, 2504, 16, 839, 31183, 327, 436, 369, 6569, 248, 580, 742, 6932, 14, 4402, 248, 4311, 2169, 274, 7924, 16, 5932, 7924, 311, 11401, 4420, 432, 6398, 918, 5486, 457, 85, 1193, 1733, 4172, 3170, 274, 6508, 1656, 3184, 28278, 16, 188, 3294, 254, 1057, 671, 348, 254, 12473, 7924, 369, 34276, 276, 254, 33496, 589, 12794, 14, 6398, 918, 5486, 5797, 248, 3203, 343, 254, 24922, 2485, 655, 383, 38645, 16, 1547, 900, 248, 10812, 9259, 276, 248, 1330, 7569, 276, 6187, 19743, 348, 628, 274, 254, 3170, 274, 2978, 28278, 16, 826, 4116, 369, 9421, 282, 513, 276, 19743, 14, 532, 254, 24922, 8826, 573, 641, 2843, 748, 2350, 328, 276, 254, 7569, 16, 188, 2300, 2470, 374, 22, 394, 374, 18, 18, 25, 248, 10812, 23519, 597, 387, 254, 2586, 16, 380, 18323, 4420, 272, 12331, 32004, 41244, 332, 14731, 327, 4130, 9490, 2124, 254, 2974, 16, 380, 8826, 852, 417, 2033, 2075, 942, 6323, 2765, 14, 286, 596, 852, 417, 865, 748, 369, 276, 254, 10812, 2634, 282, 254, 18323, 16, 188, 1212, 1143, 254, 4458, 343, 254, 9490, 276, 254, 33496, 589, 12794, 14, 286, 2956, 282, 7214, 16, 839, 26865, 248, 1733, 4172, 3170, 274, 2978, 28278, 14, 7465, 2006, 5130, 4203, 16, 839, 6705, 748, 24922, 8826, 852, 417, 865, 14, 327, 1899, 282, 2194, 5759, 274, 1423, 19743, 3285, 628, 274, 248, 40664, 4351, 16, 0, 19, 22, 4452, 374, 18, 19, 22, 1091, 8241, 325, 892, 20509, 14, 12290, 69, 20332, 4548, 16, 188, 19, 26, 4452, 374, 18, 19, 22, 1091, 8241, 325, 892, 25620, 6401, 323, 3102, 14, 3779, 367, 1345, 16, 188, 56, 20047, 67, 1663, 713, 436, 11146, 3893, 15, 9879, 1851, 643, 1440, 4089, 276, 254, 36632, 30817, 432, 4087, 457, 85, 1868, 15, 8430, 374, 27, 394, 282, 248, 1656, 315, 848, 23, 394, 276, 254, 2245, 274, 248, 10734, 763, 2524, 16, 6236, 436, 2114, 14, 596, 4405, 1919, 276, 4257, 282, 763, 11334, 12053, 327, 12467, 387, 254, 3525, 8926, 14, 10036, 495, 15, 19, 282, 3561, 9476, 286, 9994, 374, 15, 20, 343, 3918, 5760, 330, 7913, 20705, 15, 3066, 31217, 835, 5108, 4297, 457, 85, 2654, 387, 254, 31779, 34470, 1419, 401, 6016, 24370, 312, 372, 15438, 8513, 3891, 3609, 2488, 276, 21261, 14, 841, 248, 2194, 274, 1694, 11146, 9862, 573, 643, 11214, 286, 835, 25351, 324, 11640, 4462, 314, 1946, 24069, 282, 321, 8334, 4682, 276, 3629, 481, 188, 15331, 254, 3367, 274, 3830, 4405, 407, 254, 3746, 1874, 14, 353, 311, 5440, 37681, 282, 5433, 254, 30817, 16, 7865, 14, 688, 21601, 507, 1091, 417, 1824, 1583, 294, 4852, 19171, 13219, 14, 254, 743, 8462, 7826, 276, 4029, 1091, 774, 1002, 17326, 387, 729, 343, 248, 260, 609, 8356, 14, 38540, 327, 254, 9243, 15175, 274, 374, 27, 394, 369, 8266, 40664, 14, 1635, 327, 763, 2524, 2634, 596, 497, 576, 18, 394, 286, 573, 756, 4405, 580, 2099, 276, 254, 2774, 802, 1091, 248, 374, 15, 19, 1919, 2863, 282, 42739, 26422, 16, 188, 17769, 14, 2228, 24524, 796, 836, 30817, 774, 321, 14, 596, 476, 417, 321, 12489, 348, 254, 1615, 21264, 3537, 497, 3970, 900, 282, 3533, 254, 396, 6835, 274, 254, 6936, 11453, 324, 1689, 5603, 457, 85, 331, 19813, 2955, 854, 22867, 6214, 274, 254, 14726, 3687, 16, 26662, 14, 5582, 18534, 576, 394, 276, 374, 18, 19, 19, 457, 85 ]

[ 1, 872, 282, 1920, 353, 742, 16, 1834, 8785, 4544, 1317, 327, 403, 5023, 2969, 1017, 5266, 5378, 375, 14283, 403, 7390, 282, 1076, 16, 1286, 368, 513, 2705, 14695, 276, 2713, 1051, 254, 1360, 14, 4544, 311, 5271, 624, 24525, 26717, 4619, 254, 2069, 16, 188, 6004, 1017, 15, 27695, 5378, 375, 14283, 311, 248, 8960, 5046, 14, 353, 756, 4279, 2006, 3370, 1024, 15, 25371, 1454, 3710, 16, 1993, 1454, 3710, 403, 5271, 254, 1921, 274, 248, 28470, 2739, 11955, 16, 380, 5046, 311, 2152, 276, 772, 46338, 8960, 9259, 758, 24824, 14, 286, 368, 403, 2041, 282, 563, 1683, 254, 1057, 1362, 16, 5431, 1338, 872, 2006, 1842, 324, 7160, 1063, 10601, 282, 785, 16, 2916, 332, 445, 3359, 4566, 933, 321, 15919, 324, 2006, 3498, 4859, 368, 774, 2417, 13088, 273, 254, 12895, 1213, 16, 380, 4869, 274, 1338, 1074, 254, 8495, 7160, 1213, 282, 321, 963, 15, 11141, 615, 9580, 16989, 265, 2085, 2200, 16, 188, 2433, 3392, 41691, 16737, 7492, 9887, 324, 1395, 33, 188, 1368, 403, 248, 1157, 7236, 324, 254, 5046, 603, 368, 457, 251, 5940, 276, 6833, 273, 633, 4122, 4530, 16, 3392, 41691, 28372, 476, 1862, 368, 248, 624, 16989, 265, 7094, 286, 1002, 4565, 248, 719, 15, 6713, 276, 688, 1338, 16, 3006, 756, 403, 254, 12965, 10253, 6845, 274, 1129, 41966, 14, 532, 254, 8846, 314, 250, 1770, 11, 286, 13204, 14, 492, 39551, 14, 299, 1781, 14, 286, 1002, 254, 257, 990, 3042, 13008, 476, 321, 16989, 265, 348, 963, 16, 9473, 286, 2185, 663, 650, 669, 747, 282, 2490, 6441, 1921, 11054, 328, 254, 2069, 774, 669, 5485, 432, 4544, 3577, 7067, 16, 188, 510, 1640, 1026, 282, 3533, 633, 4469, 1917, 324, 16835, 28372, 311, 939, 272, 276, 15, 10533, 20549, 343, 248, 2069, 25027, 273, 19049, 819, 348, 3093, 16, 25982, 13309, 16, 188, 23254, 265, 276, 4569, 624, 668, 3392, 41691, 16737, 7492, 33, 9120, 441, 324, 248, 46370, 7087, 387, 314, 24, 19, 23, 11, 576, 27, 27, 15, 22, 20, 20, 22, 390, 3256, 7325, 561, 254, 825, 328, 436, 3135, 282, 915, 748, 10599, 41133, 14699, 276, 29560, 14, 23959, 476, 513, 324, 368, 3, 188, 2433, 4704, 22954, 21913, 375, 14283, 9887, 1180, 3086, 33, 188, 7882, 310, 248, 6901, 331, 32300, 324, 4704, 22954, 21913, 375, 14283, 33, 0, 1128, 9237, 3485, 28, 495, 314, 483, 274, 338, 18, 481, 188, 13718, 10074, 11811, 10, 85, 2192, 33079, 382, 2009, 8579, 3392, 277, 283, 3990, 16, 188, 1253, 248, 1015, 2705, 1364, 2286, 457, 85, 4221, 369, 16, 6317, 2140, 9415, 1311, 286, 11249, 939, 254, 2288, 1230, 2295, 580, 369, 3447, 14, 641, 580, 270, 13402, 265, 14, 641, 580, 457, 85, 886, 4341, 24940, 16, 1822, 254, 642, 4337, 7360, 343, 248, 1062, 1432, 4633, 22015, 14, 286, 835, 310, 2144, 328, 14, 30155, 747, 248, 2194, 18237, 19148, 16, 314, 13545, 14, 532, 626, 369, 2304, 248, 671, 670, 618, 27672, 10075, 457, 86, 884, 6778, 14, 286, 670, 618, 7481, 10075, 457, 86, 593, 1493, 13351, 27812, 14, 254, 4221, 2350, 963, 14, 286, 360, 9325, 688, 3418, 668, 772, 785, 28, 1334, 513, 360, 3510, 33, 3063, 360, 4126, 3899, 1303, 15, 32012, 33, 1691, 4337, 452, 11876, 368, 33, 826, 1364, 1897, 1845, 332, 10352, 479, 1230, 263, 457, 85, 593, 1837, 282, 2536, 811, 580, 390, 763, 11284, 974, 626, 403, 593, 1125, 327, 310, 26021, 14, 286, 324, 1015, 4462, 16, 310, 10817, 32130, 5573, 330, 1906, 1234, 14, 324, 254, 16534, 14, 500, 16, 47, 16, 2357, 24695, 1747, 14, 324, 254, 11985, 274, 520, 3335, 14, 286, 14919, 1442, 72, 35524, 71, 339, 14, 324, 616, 3621, 282, 3510, 5230, 4243, 286, 2486, 669, 8376, 254, 18846, 274, 21747, 25612, 16, 1268, 310, 807, 811, 348, 4214, 452, 749, 15064, 3060, 771, 47397, 363, 14, 324, 254, 33258, 282, 4932, 14, 390, 30422, 427, 358, 535, 727, 14, 324, 254, 12511, 693, 1186, 274, 520, 16947, 14, 390, 17442, 33739, 14, 324, 254, 10183, 274, 520, 5645, 14, 390, 21289, 437, 256, 339, 3779, 18218, 14, 390, 416, 606, 302, 354, 304, 415, 75, 14, 390, 2009, 8579, 3392, 277, 2635, 302, 14, 390, 37991, 5579, 518, 443, 660, 1219, 286, 328, 286, 328, 16, 0, 34975, 15, 31255, 15, 17193, 16, 679, 3290, 35059, 33142, 23801, 14, 3327, 286, 642, 9123, 4358, 17193, 5146, 16, 826, 1581, 311, 1707, 328, 254, 1162, 274, 17381, 327, 403, 5043, 328, 254, 7142, 16, 7023, 254, 1640, 286, 944, 4489, 23801, 403, 2790, 282, 436, 1581, 16, 188, 33373, 33142, 12477, 17690, 452, 643, 2449, 407, 27161, 15, 31255, 15, 17193, 16, 679, 16, 0, 39, 2205, 315, 1830, 899, 732, 2145, 494, 14625, 2969, 10088, 15, 395, 15, 1935, 9902, 16, 1270, 37728, 28642, 366, 374, 16, 18, 7528, 2497, 2499, 683, 26416, 931, 16, 3535, 4152, 1221, 4172, 30566, 1508, 343, 7538, 40636, 5022, 7067, 16, 11994, 1211, 16064, 10088, 15, 395, 15, 1935, 4719, 2499, 683, 5011, 1013, 5011, 995, 16, 3535, 4152, 1221, 7332, 4686, 36747, 1707, 2983, 274, 47946, 324, 5114, 15, 33582, 11114, 15, 21259, 16, 188, 4914, 293, 1538, 556, 2313, 8387, 2949, 1707, 5008, 3820, 4457, 1269, 19241, 1508, 16, 1729, 375, 8278, 38844, 315, 16997, 2703, 18718, 300, 15, 21259, 286, 16893, 21493, 300, 15, 43548, 16, 1729, 375, 8278, 38844, 315, 4306, 19161, 2867, 2517, 324, 378, 20, 36, 41398, 16, 3511, 293, 1538, 3250, 300, 15, 20964, 2983, 274, 47946, 841, 13574, 31043, 324, 1767, 16, 3921, 704, 594, 6458, 11444, 4163, 343, 16, 0, 1516, 2391, 1722, 369, 14584, 343, 2653, 14, 3732, 14, 790, 14, 21873, 14, 15268, 14, 286, 8555, 274, 11995, 387, 254, 980, 16, 310, 5565, 310, 807, 1309, 596, 497, 11995, 274, 15268, 532, 28955, 327, 369, 417, 254, 1068, 16, 9598, 2065, 310, 3542, 2996, 1062, 17635, 282, 479, 16, 2666, 7158, 19998, 4667, 1919, 16, 10944, 2830, 310, 452, 593, 1125, 9138, 12604, 282, 2120, 328, 282, 16, 310, 5108, 22762, 28616, 343, 616, 348, 248, 1401, 16, 1469, 1845, 1315, 479, 513, 5745, 310 ]

[ 1, 9812, 14, 380, 27638, 4272, 9397, 14, 380, 13686, 6728, 25697, 17397, 9397, 2141, 380, 26384, 9397, 46468, 5541, 423, 330, 9397, 18489, 4580, 14, 1223, 1676, 371, 4123, 496, 15, 7260, 1223, 5883, 23464, 18489, 1180, 9397, 35801, 496, 36239, 1223, 9812, 85, 14, 380, 27638, 4272, 9397, 14, 380, 13686, 6728, 25697, 17397, 9397, 1223, 380, 26384, 9397, 16, 0, 686, 3793, 607, 27, 2672, 11042, 272, 984, 6113, 11503, 8820, 343, 1201, 505, 1078, 25219, 314, 82, 876, 1487, 11, 663, 3419, 248, 9138, 8686, 8455, 3046, 328, 44709, 26441, 5670, 16, 1286, 368, 452, 2378, 13500, 668, 254, 19223, 3005, 14, 19610, 14, 44682, 328, 633, 16842, 14, 1201, 505, 1078, 804, 10317, 512, 254, 39130, 16, 1691, 668, 1470, 29866, 14, 843, 852, 596, 1663, 668, 33, 1201, 505, 1078, 11834, 254, 3541, 16, 750, 555, 669, 643, 2041, 282, 372, 15, 3107, 688, 274, 254, 9776, 20626, 457, 85, 11330, 14, 533, 596, 1815, 497, 10919, 4591, 1091, 272, 8418, 7937, 16, 188, 1212, 11042, 248, 997, 888, 276, 671, 282, 254, 801, 8425, 10400, 17, 47269, 327, 11424, 254, 1470, 8135, 432, 254, 801, 888, 276, 254, 3447, 338, 26, 18, 18, 85, 282, 2966, 457, 85, 4829, 3963, 16, 188, 35, 20369, 286, 9138, 8820, 16, 0, 3294, 254, 2667, 352, 434, 5945, 11526, 328, 7365, 6086, 1125, 42838, 568, 2980, 282, 865, 843, 360, 3446, 772, 27362, 33601, 18197, 16, 380, 1527, 403, 254, 10464, 16, 21685, 465, 11286, 1119, 34, 22903, 16, 679, 324, 624, 1460, 16, 188, 36489, 248, 2245, 274, 4948, 15, 14252, 22571, 327, 5429, 495, 1558, 607, 4525, 16, 19423, 254, 9111, 16, 45473, 17, 9376, 23108, 274, 254, 1527, 9530, 33601, 6073, 28, 13232, 1625, 29594, 15798, 839, 265, 29, 9796, 32938, 595, 18744, 29, 11261, 9796, 657, 359, 32659, 29, 12941, 8709, 329, 570, 16, 188, 2976, 403, 2066, 3783, 387, 22811, 57, 16, 3072, 35, 2932, 43, 1374, 3215, 53, 16296, 16, 9257, 16, 20670, 276, 290, 5981, 282, 2706, 248, 3506, 1040, 16, 380, 6073, 6930, 1709, 282, 1241, 4525, 16, 380, 4805, 7389, 329, 570, 311, 4434, 314, 19, 26, 12691, 11, 286, 311, 1157, 324, 254, 5516, 16, 29616, 254, 10109, 30508, 286, 10964, 327, 4010, 16, 5650, 802, 818, 624, 7716, 6073, 18244, 16, 10068, 624, 814, 47935, 8247, 18244, 536, 8796, 366, 254, 5935, 286, 254, 8927, 407, 1610, 3, 7052, 368, 751, 2956, 14, 353, 4765, 6742, 286, 6742, 1033, 802, 282, 6384, 633, 2779, 17, 18113, 1912, 1637, 279, 22832, 286, 1773, 273, 29, 624, 23060, 286, 8597, 7552, 16, 0, 24, 396, 725, 15819, 21318, 16, 15554, 4740, 286, 3471, 532, 254, 15819, 311, 1419, 4837, 834, 16, 23945, 9587, 532, 3095, 248, 3709, 16, 188, 20, 286, 495, 7126, 12881, 15819, 432, 2009, 1208, 4543, 16, 380, 374, 396, 725, 311, 276, 1157, 1580, 14, 254, 495, 396, 725, 311, 1903, 286, 555, 248, 15581, 348, 34609, 16, 188, 21, 396, 725, 12881, 15819, 21318, 14, 618, 5588, 452, 7127, 254, 15819, 561, 328, 254, 1628, 1874, 274, 254, 4290, 16, 3006, 4607, 16, 7560, 915, 254, 7315, 7457, 324, 4139, 16, 17008, 1247, 1580, 16, 370, 19, 23, 18, 16, 20130, 597, 2532, 912, 816, 71, 16, 188, 20, 27441, 2620, 6474, 323, 22765, 428, 1158, 4231, 494, 428, 6321, 21385, 3, 188, 8043, 512, 14, 323, 3372, 374, 2155, 9587, 2483, 2620, 14, 331, 9503, 1800, 19, 2004, 454, 428, 40350, 7042, 2009, 1208, 5883, 389, 30168, 1158, 266, 343, 12231, 5646, 21385, 848, 17, 19, 18, 17512, 5196, 31386, 428, 374, 19, 19, 3472, 3208, 394, 428, 338, 18, 18, 3472, 15597, 370, 21, 18, 18, 5715, 331, 9503, 1800, 20, 9796, 16802, 693, 5883, 389, 30168, 21385, 848, 17, 19, 18, 17512, 5196, 31386, 428, 338, 26, 26, 3472, 3208, 394, 428, 890, 20, 3472, 15597, 370, 20, 18, 18, 5715, 1993, 2483, 2620, 452, 811, 643, 6876, 276, 248, 17823, 2244, 10413, 2876, 900, 16, 7052, 248, 1722, 4718, 16, 18235, 456, 276, 36196, 14408, 20130, 484, 756, 16, 21685, 479, 428, 4517, 398, 16, 0, 17651, 15, 32590, 7916, 324, 17246, 633, 5098, 387, 495, 18, 14, 18, 18, 18, 4525, 16, 188, 686, 254, 11454, 274, 254, 440, 39416, 3821, 4293, 328, 33976, 457, 85, 8404, 338, 21, 26, 18, 4182, 436, 2065, 14, 360, 1872, 248, 8075, 282, 9042, 772, 8223, 14, 276, 641, 8539, 2349, 14, 327, 368, 2102, 865, 254, 1640, 1026, 282, 5256, 633, 5098, 328, 248, 6243, 28, 731, 311, 11897, 327, 368, 2941, 843, 248, 6243, 457, 85, 7564, 25100, 785, 14, 7816, 286, 3575, 254, 10132, 457, 85, 5098, 19447, 14, 286, 2033, 254, 12454, 274, 254, 6243, 1033, 671, 368, 8550, 16, 188, 17455, 8312, 8404, 338, 21, 26, 18, 7212, 3821, 4293, 327, 4476, 282, 452, 4130, 7242, 274, 254, 3821, 282, 18217, 337, 254, 19064, 274, 254, 6243, 14, 9550, 580, 15388, 286, 2373, 971, 2489, 286, 29368, 248, 29490, 1233, 327, 2347, 254, 8404, 10132, 282, 8851, 35292, 282, 272, 27075, 830, 7564, 369, 10323, 16, 4539, 2211, 360, 3409, 368, 457, 619, 1582, 2377, 248, 3979, 9564, 2734, 348, 289, 2423, 273, 348, 254, 580, 327, 16026, 328, 327, 8404, 35691, 14, 286, 15008, 6041, 14, 248, 24463, 11260, 286, 2410, 274, 25763, 254, 43551, 314, 1889, 779, 82, 32024, 16, 679, 11, 24437, 10390, 327, 2634, 282, 254, 25311, 3284, 328, 8404, 338, 21, 26, 18, 2065, 14, 529, 16, 53, 16, 2257, 15066, 573, 417, 573, 248, 4544, 1295, 1544, 374, 18, 18, 23, 16, 188, 1368, 1141, 368, 457, 307, 2254, 286, 3611, 353, 512, 1063, 428, 286, 254, 8404, 10132, 774, 1002, 15939, 248, 2298, 668, 843, 2746, 353, 311, 282, 2120, 633, 3983, 348, 596, 7368, 843, 282, 12095, 283, 286, 440, 23725, 283, 248, 7126, 45454, 428, 532, 254, 948, 311, 944, 16026, 8014, 561, 286, 2891, 11897, 1460, 668, 254, 6243, 457, 85, 38314, 14, 1432, 889, 274, 7564, 25100, 14, 286, 254, 6177, 274, 9150, 7126, 8161, 1601, 1002, 670, 417, 8611, 2347, 16, 188, 2432, 457, 85, 1885, 327 ]

[ 1, 8018, 65, 4685, 10, 5401, 14, 6951, 14, 5224, 11, 324, 5224, 276, 4806, 1077, 926, 2086, 65, 8018, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 13446, 61, 10962, 1077, 926, 16814, 30855, 31, 29761, 30855, 14, 647, 2312, 534, 188, 1510, 791, 7763, 65, 12838, 65, 4685, 10, 4685, 28, 5218, 18318, 21439, 14, 3762, 28, 5389, 61, 6411, 44444, 477, 11916, 10703, 1999, 2099, 44438, 477, 16814, 30855, 426, 4739, 477, 2382, 426, 791, 8380, 65, 8018, 65, 5530, 10, 13117, 16, 784, 10, 4685, 16, 530, 65, 11548, 65, 7312, 65, 302, 14, 7954, 1210, 477, 603, 2382, 311, 417, 8037, 28, 647, 16814, 30855, 426, 2382, 16, 11017, 647, 603, 16814, 30855, 61, 18, 63, 2224, 12995, 1356, 926, 16814, 30855, 426, 270, 4, 3494, 40285, 29761, 30855, 12911, 1465, 1076, 19319, 340, 17323, 7577, 10, 647, 4877, 31, 26458, 22381, 14, 647, 21019, 31, 72, 4, 93, 4685, 16, 5401, 65, 302, 95, 5, 93, 4685, 16, 1554, 95, 5, 93, 29761, 30855, 31532, 647, 3310, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 41, 13697, 14, 647, 3310, 65, 5901, 65, 875, 567, 985, 647, 3929, 31, 4685, 16, 1554, 14, 647, 476, 65, 1935, 31, 5489, 14, 647, 476, 65, 27832, 31, 4937, 14, 647, 2086, 65, 8018, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 30436, 14834, 14, 647, 16814, 30855, 31, 29761, 30855, 14, 477, 2312, 534, 188, 1510, 791, 7763, 65, 33021, 10, 5401, 2192, 477, 11916, 10703, 2530, 8815, 324, 25374, 3310, 44438, 477, 13456, 1390, 14, 16814, 30855, 426, 3929, 16, 8909, 18849, 985, 374, 11, 477, 2530, 426, 19319, 340, 17323, 7577, 10, 647, 4877, 31, 26458, 22381, 14, 647, 21019, 31, 72, 4, 93, 5401, 31532, 647, 3310, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 41, 13697, 14, 647, 3310, 65, 5901, 65, 875, 567, 985, 647, 3929, 31, 1554, 14, 647, 476, 65, 1935, 31, 5489, 14, 647, 476, 65, 27832, 31, 4937, 14, 647, 2086, 20258, 1077, 647, 2086, 65, 8018, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 30436, 14834, 14, 647, 16814, 30855, 31, 29761, 30855, 14, 477, 2312, 1465, 9630, 426, 15205, 2495, 985, 347, 24117, 9431, 477, 9104, 426, 15205, 12838, 498, 2736, 985, 347, 29750, 560, 38829, 9431, 477, 324, 7109, 276, 9630, 28, 647, 324, 2169, 276, 9104, 28, 926, 2530, 16, 13487, 16, 9436, 10, 1003, 19319, 340, 17323, 7577, 10, 2498, 4877, 31, 26458, 22381, 14, 2498, 21019, 31, 72, 4, 93, 5401, 95, 2566, 93, 18069, 95, 5, 93, 10962, 31532, 2498, 3310, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 30436, 14834, 14, 2498, 3310, 65, 5901, 65, 875, 567, 985, 2498, 3929, 31, 72, 4, 93, 18069, 16, 5401, 1067, 95, 550, 10962, 16, 5401, 1067, 31532, 2498, 476, 65, 1935, 31, 5489, 14, 2498, 476, 65, 27832, 31, 4937, 14, 2498, 2086, 65, 8018, 65, 2360, 31, 18498, 5082, 65, 24887, 65, 13446, 61, 10962, 1077, 1003, 2312, 926, 2312, 1465, 1076, 2530, 534, 188, 1510, 791, 7763, 65, 8018, 65, 4685, 10, 5401, 28, 1195, 14, 6951, 28, 1195, 14, 5224, 28, 25374, 17323, 5315, 2192, 477, 11916, 10703, 1999, 3310, 5224, 44438, 477, 13456, 2169, 426, 6951, 16, 8909, 18849, 985, 338, 11, 477, 1076, 19319, 340, 17323, 7577, 10, 647, 4877, 31, 26458, 22381, 14, 647, 21019, 31, 72, 4, 93, 5401, 95, 2566, 93, 13878, 95, 2566, 93, 4685, 16, 11017, 31532, 647, 3310, 65, 2360, 31, 4685, 16, 8018, 65, 2360, 14, 647, 3310, 65, 5901, 65, 875, 31, 47, 10373, 65, 10284, 65, 13446, 61, 10962, 1077, 647, 3929, 31, 4685, 16, 33205, 14, 647, 476, 65, 1935, 31, 4937, 14, 647, 476, 65, 27832, 31, 5489, 14, 647, 16814, 30855, 31, 4685, 16, 29761, 30855, 14, 477, 2312, 188, 0, 31311, 2976, 2752, 15579, 900, 4619, 8293, 44438, 534, 188, 2360, 11107, 16506, 24632, 32858, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 20816, 324, 248, 3327, 8047, 476, 625, 321, 1102, 44438, 477, 1477, 534, 188, 2360, 11107, 16506, 30458, 544, 32858, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 248, 32728, 2468, 321, 1102, 276, 248, 11107, 16506, 31311, 477, 1477, 534, 188, 2360, 1583, 13016, 72, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 641, 1365, 72, 311, 1225, 276, 248, 16635, 830, 2961, 31311, 477, 1477, 534, 188, 2360, 6110, 4387, 31324, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 248, 1110, 8468, 3238, 274, 248, 18977, 494, 31311, 477, 1477, 534, 188, 2360, 1583, 1128, 69, 383, 264, 42676, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 248, 16635, 4103, 1042, 417, 452, 272, 33795, 16635, 31311, 477, 1477, 534, 188, 2360, 31934, 11410, 35711, 2466, 4608, 10, 5173, 2192, 477, 11916, 20690, 1659, 670, 248, 42620, 6511, 2551, 11410, 35711, 2466, 66, 15529, 1390, 311, 9270, 44438, 477, 1477, 534, 188, 2360, 30647, 2689, 4608, 10, 5173, 2192, 1465, 11916, 5173, 5279, 670, 248, 7663, 2787, 2468, 321, 35444, 44438, 1465, 804, 4623, 4338, 21257, 1262, 14, 2787, 14, 1839, 2192, 647, 1827, 16, 8335, 426, 314, 926, 684, 40271, 13997, 7663, 2787, 34676, 12911, 428, 1839, 34676, 12911, 7011, 2386, 647, 13074, 7910, 10, 2617, 14, 1839, 11, 647, 2155, 4872, 870, 4338, 21257, 1262, 16, 8335, 11, 534, 188, 2360, 1583, 21839, 6386, 16079, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 248, 28519, 311, 3446, 343, 248, 1303, 15, 1235, 12689, 494, 7271, 31311, 1465, 804, 4623, 4338, 21257, 1262, 14, 7271, 2192, 647, 1827, 16, 8335, 426, 11865, 40271, 2706, 248, 7699, 324, 11836, 5813, 7910, 10, 26158, 1210, 647, 2155, 4872, 870, 4338, 21257, 1262, 16, 8335, 11, 534, 188, 2360, 23446, 44698, 4608, 10, 5173, 2192, 477, 11916, 5173, 5279, 670, 248, 8047, 311, 10331, 432, 7391, 22027, 2830, 44438, 1465, 804, 4623, 4338, 21257, 1262, 14, 8047, 65, 3039, 65, 3839, 14, 2429, 31, 11033, 2192, 647, 11916, 647, 1732, 5774, 28, 926, 8047, 65, 3039, 65, 3839, 314, 1320, 2192, 380, 1802, 282, 254, 8047, 1819, 533, 807, 1003, 417, 321, 9595, 16, 926, 2429, 314 ]

[ 1, 3473, 2431, 349, 1366, 648, 14, 22789, 3645, 321, 21306, 1379, 17603, 10454, 636, 5591, 7034, 447, 458, 1310, 26425, 260, 258, 8991, 12801, 375, 16, 12227, 282, 615, 3006, 1676, 33012, 3585, 360, 452, 417, 5597, 254, 17666, 2008, 387, 8166, 36, 3182, 16, 3574, 17183, 14613, 1613, 10729, 14270, 3682, 16052, 72, 2991, 6113, 14270, 10580, 3048, 323, 4685, 521, 14, 12260, 1736, 512, 266, 411, 10729, 8991, 12260, 11189, 382, 293, 10580, 3682, 28796, 3048, 636, 15311, 300, 1990, 606, 3682, 12163, 569, 34234, 323, 1016, 858, 1164, 459, 12559, 8380, 258, 26819, 16, 28626, 18120, 12163, 569, 13072, 5175, 82, 1471, 45010, 1542, 440, 92, 20608, 3263, 71, 2038, 37368, 12260, 1736, 5389, 71, 16, 18637, 20333, 11660, 1343, 298, 759, 3801, 16, 188, 15887, 2324, 81, 15214, 2038, 37368, 3682, 20835, 89, 293, 1813, 8166, 2324, 81, 7650, 1798, 655, 37505, 301, 14, 17601, 1542, 13051, 7179, 3847, 258, 8226, 45732, 1758, 1084, 559, 386, 3682, 9856, 324, 25096, 12515, 1064, 4218, 1629, 21548, 10580, 16, 15438, 17574, 15438, 17574, 22425, 19413, 652, 920, 258, 46574, 452, 643, 1034, 1873, 324, 615, 25082, 2636, 14, 18899, 25096, 2181, 286, 6450, 10377, 16, 5066, 16052, 68, 20748, 20608, 305, 14, 29480, 34234, 283, 10729, 23147, 699, 2324, 81, 9275, 27555, 16774, 405, 1758, 14, 34237, 18120, 35188, 14079, 318, 858, 278, 46356, 10627, 3642, 29219, 1813, 16, 12182, 436, 25096, 311, 417, 2066, 276, 633, 2504, 16, 39912, 1736, 36557, 588, 1188, 357, 1891, 19177, 7179, 12441, 258, 289, 2313, 15387, 8498, 11754, 31439, 365, 29299, 86, 16, 188, 510, 756, 3335, 4376, 311, 17890, 16, 380, 25096, 1042, 2903, 31135, 14, 4633, 12168, 286, 1924, 8688, 276, 1596, 282, 17890, 299, 8211, 16, 188, 1982, 368, 403, 5940, 276, 7353, 248, 3442, 274, 8166, 2324, 81, 14, 533, 311, 16753, 276, 45926, 348, 963, 348, 5974, 14, 368, 476, 1354, 5585, 274, 615, 27961, 3831, 16, 7052, 368, 2411, 248, 3442, 274, 254, 25096, 14, 368, 476, 1703, 615, 642, 31056, 22541, 14, 533, 2408, 2232, 38612, 324, 1081, 14815, 286, 2741, 1115, 16, 188, 2943, 368, 961, 282, 1649, 2501, 713, 633, 2320, 14, 8166, 2324, 81, 555, 2006, 8339, 2902, 2983, 2066, 16, 1395, 476, 889, 633, 655, 8671, 390, 10436, 9597, 16, 188, 1368, 476, 669, 889, 254, 3134, 274, 46848, 286, 14704, 1618, 334, 16, 380, 25096, 555, 642, 18292, 4466, 14, 1648, 4171, 21253, 16, 1286, 368, 403, 276, 872, 274, 1336, 390, 1305, 432, 436, 25096, 14, 8166, 2324, 81, 5961, 512, 274, 254, 7119, 2034, 274, 7528, 2497, 16, 188, 1368, 476, 2960, 729, 343, 272, 4436, 14, 248, 4341, 1052, 14, 248, 37252, 390, 248, 13919, 23412, 16, 21040, 311, 2066, 374, 22, 2942, 248, 1362, 16, 38394, 19137, 82, 1471, 403, 7656, 387, 8166, 2324, 81, 343, 7732, 33880, 276, 254, 9529, 16, 188, 5910, 274, 254, 14815, 3830, 368, 1503, 4126, 403, 28, 1286, 368, 747, 4311, 3830, 835, 368, 1503, 961, 282, 1574, 254, 11334, 12224, 2066, 1648, 28, 5696, 324, 688, 8143, 33, 188, 3131, 3830, 41280, 2408, 248, 5081, 274, 25089, 25267, 348, 963, 348, 15183, 789, 286, 657, 3276, 11717, 3891, 16, 25587, 792, 12224, 403, 248, 790, 1767, 274, 13494, 16, 1286, 368, 650, 747, 282, 1574, 248, 2099, 390, 763, 1045, 311, 248, 5278, 4269, 2732, 561, 28, 7683, 436, 1142, 282, 4017, 254, 16470, 2317, 286, 22402, 274, 272, 32187, 390, 45820, 9024, 3808, 16, 188, 15179, 2731, 10427, 77, 759, 25096, 343, 1062, 5167, 4024, 2586, 16, 657, 28979, 428, 1395, 587, 4615, 436, 16815, 387, 254, 671, 274, 633, 18292, 532, 476, 1582, 10407, 254, 16815, 16, 188, 8828, 561, 772, 5199, 23132, 8870, 8217, 16, 9506, 2994, 366, 8028, 428, 8166, 2324, 81, 9506, 2994, 682, 16, 188, 3722, 87, 705, 12941, 428, 338, 9956, 16, 8939, 37940, 274, 39723, 499, 4858, 27220, 8421, 34955, 286, 915, 642, 9884, 33490, 4466, 16, 37936, 1074, 383, 3330, 7179, 360, 613, 445, 7813, 72, 1219, 6149, 1506, 4635, 411, 3473, 267, 4058, 1672, 80, 28, 37936, 1074, 293, 883, 6113, 26495, 742, 36265, 21540, 6398, 6553, 15, 44449, 16, 41127, 20996, 260, 4384, 1951, 7650, 44102, 2739, 19535, 5627, 20996, 260, 44745, 1542, 16052, 14, 3048, 1291, 15387, 2675, 2857, 7835, 1891, 709, 16, 15214, 2038, 37368, 3682, 20835, 89, 293, 1813, 8166, 2324, 81, 7650, 374, 20, 19, 68, 655, 37505, 301, 14, 17601, 1542, 13051, 7179, 3847, 258, 8226, 45732, 1758, 1084, 559, 386, 3682, 9856, 324, 25096, 12515, 1064, 4218, 1629, 21548, 10580, 16, 2253, 254, 801, 580, 663, 587, 25096, 1887, 18574, 374, 18, 1903, 26964, 353, 16, 5243, 4436, 2859, 587, 417, 321, 3737, 16, 1569, 87, 705, 14414, 23, 18, 18, 345, 8161, 45316, 40482, 1270, 428, 338, 9956, 16, 11903, 665, 19210, 390, 8166, 2324, 81, 25096, 42069, 18427, 5809, 68, 329, 5809, 68, 329, 16, 8166, 36, 3182, 513, 417, 2023, 665, 4139, 274, 615, 17666, 2008, 328, 615, 4282, 286, 348, 596, 513, 417, 2903, 1924, 6211, 360, 587, 5307, 436, 282, 321, 607, 1842, 16, 416, 4787, 35482, 6923, 1629, 6190, 247, 16016, 323, 1923, 81, 19015, 1028, 500, 14462, 638, 6292, 3, 188, 22192, 36557, 588, 1188, 357, 1891, 289, 34849, 86, 2800, 2991, 8214, 469, 332, 1476, 33553, 252, 490, 14, 20996, 11171, 18120, 3048, 300, 305, 1704, 6998, 12885, 1891, 29005, 7142, 10580, 14, 369, 276, 1736, 27877, 321, 12901, 293, 19177, 35562, 442, 16, 37936, 1074, 293, 883, 6113, 26495, 742, 36265, 21540, 6398, 6553, 15, 44449, 16, 1569, 460, 444, 15, 28547, 15, 3711, 33895, 23147, 12658, 2264, 2307, 566, 291, 661, 384, 16, 5199, 291, 15, 21833, 258, 15, 54, 20678, 9942, 39723, 2003, 311, 417, 512, 348, 3648, 403, 669, 3994, 282, 248, 30695, 6086, 374, 607, 18, 29912, 16815, 597, 282, 779, 1062, 1689, 1362, 841, 502, 1293, 25096, 7725, 924, 338, 8521, 16, 37936, 1074, 293, 883, 6113, 26495, 742, 36265, 21540, 6398, 6553, 15, 44449, 16, 11267, 445, 554, 626, 403, 641, 9856, 324, 699, 2324, 81, 39723, 16, 4906, 597, 282, 338, 20, 11535, 38612, 1691, 434, 593, 2628 ]

[ 1, 869, 7964, 3246, 434, 27220, 286, 11261, 15497, 16, 27243, 6667, 403, 7775, 432, 1033, 15964, 274, 254, 2779, 16, 380, 2752, 15, 20364, 1683, 17443, 328, 607, 24, 15063, 14174, 19464, 274, 6397, 46607, 2575, 16, 380, 8085, 5961, 248, 1683, 274, 4911, 495, 26, 18, 18, 6106, 4525, 343, 763, 6131, 47160, 14, 763, 23536, 36025, 286, 1241, 286, 248, 2630, 43902, 16, 380, 16313, 2245, 324, 512, 633, 1963, 286, 3732, 311, 5723, 286, 9587, 343, 9138, 6667, 274, 254, 8476, 14299, 16, 380, 22835, 555, 13597, 14, 2006, 46155, 14, 248, 11155, 2244, 286, 248, 37947, 18914, 16, 826, 22835, 555, 16897, 1125, 1247, 3327, 11824, 286, 2591, 3284, 16, 26963, 254, 23941, 311, 248, 1330, 1668, 16735, 327, 369, 1252, 3932, 1400, 324, 248, 571, 1126, 751, 15, 12249, 16, 188, 2678, 273, 2449, 22882, 274, 8138, 1179, 71, 42541, 8368, 274, 42416, 8529, 1676, 9469, 16, 0, 35, 3097, 369, 1143, 407, 12828, 8529, 286, 1250, 265, 407, 16454, 23683, 262, 282, 14611, 254, 15547, 14, 348, 3443, 16, 380, 3097, 369, 6825, 495, 15, 18, 6101, 16, 188, 35, 3097, 369, 1143, 407, 16454, 23683, 262, 286, 1250, 265, 407, 12828, 8529, 282, 2903, 254, 2819, 274, 254, 2072, 4654, 286, 8925, 6692, 2828, 328, 7738, 14, 3850, 374, 18, 14, 374, 18, 19, 25, 286, 8109, 14, 3850, 374, 26, 14, 374, 18, 19, 25, 16, 380, 3097, 369, 6825, 495, 15, 18, 6101, 16, 188, 35, 3097, 369, 1143, 407, 12828, 8529, 286, 1250, 265, 407, 16454, 23683, 262, 282, 2903, 254, 1581, 274, 30917, 13210, 14, 348, 3443, 16, 380, 3097, 369, 6825, 495, 15, 18, 6101, 16, 188, 510, 3097, 369, 6825, 495, 15, 18, 6101, 16, 188, 35, 3097, 369, 1143, 407, 12828, 8529, 286, 1250, 265, 407, 16454, 23683, 262, 282, 22530, 11715, 15, 23, 457, 85, 14, 348, 3443, 16, 380, 3097, 369, 6825, 495, 15, 18, 6101, 16, 188, 1737, 26242, 319, 282, 2062, 23361, 737, 1939, 1293, 348, 272, 23381, 10501, 45196, 387, 24463, 10240, 4580, 17, 3329, 4704, 4580, 3458, 4087, 576, 14, 374, 18, 19, 25, 16, 188, 1737, 26242, 319, 282, 2062, 34321, 21922, 348, 248, 10126, 10017, 45196, 387, 444, 12720, 33298, 4580, 3458, 4087, 576, 14, 374, 18, 19, 25, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 2549, 524, 319, 274, 12345, 3649, 1386, 14, 40319, 268, 17258, 387, 37276, 33298, 4580, 14, 3458, 3850, 338, 27, 14, 374, 18, 19, 25, 16, 188, 2549, 524, 319, 274, 655, 777, 466, 43847, 2139, 14, 18960, 31712, 387, 25697, 14, 3458, 3850, 813, 14, 374, 18, 19, 25, 16, 188, 1737, 26242, 319, 282, 3577, 2436, 16398, 432, 248, 331, 461, 352, 753, 387, 24463, 4704, 4580, 282, 248, 11983, 331, 461, 352, 753, 387, 444, 12720, 33298, 4580, 3458, 4029, 495, 14, 374, 18, 19, 25, 16, 188, 1737, 26242, 319, 282, 3577, 610, 13514, 23245, 432, 272, 40319, 268, 17258, 387, 444, 12720, 33298, 4580, 282, 248, 628, 671, 9274, 3458, 4087, 576, 14, 374, 18, 19, 25, 16, 188, 1737, 26242, 319, 282, 3577, 1469, 19131, 7410, 1191, 432, 272, 40319, 268, 17258, 282, 248, 11092, 330, 504, 387, 444, 12720, 33298, 4580, 3458, 4087, 576, 14, 374, 18, 19, 25, 16, 188, 1737, 26242, 319, 282, 2062, 655, 38623, 11113, 348, 272, 40319, 268, 17258, 387, 444, 12720, 33298, 4580, 3458, 4087, 576, 14, 374, 18, 19, 25, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 2062, 36216, 43351, 348, 248, 2057, 671, 8530, 15, 25101, 18960, 31712, 387, 25697, 3458, 4598, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 2062, 20614, 17170, 348, 248, 418, 1475, 2290, 17258, 3458, 4598, 16, 188, 1737, 26242, 319, 282, 22530, 512, 18960, 399, 30633, 14, 4823, 18960, 399, 30633, 14, 286, 18960, 330, 1456, 387, 25697, 14, 348, 3443, 16, 188, 1737, 26242, 319, 282, 2062, 28748, 418, 1147, 4239, 348, 272, 17258, 25280, 457, 34621, 27481, 314, 8909, 1844, 11, 387, 24463, 4704, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 2062, 6132, 26724, 8543, 285, 3522, 348, 272, 17258, 25280, 457, 34621, 27481, 314, 8909, 1844, 11, 387, 24463, 4704, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 2062, 10722, 9782, 367, 2503, 348, 272, 17258, 29081, 1318, 26100, 457, 39170, 27481, 387, 24463, 4704, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 2062, 15221, 40605, 348, 248, 813, 394, 27774, 11983, 15355, 27481, 387, 24463, 10240, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 16, 188, 1737, 26242, 319, 282, 2062, 10722, 16188, 348, 248, 813, 394, 27774, 17258, 15355, 27481, 387, 24463, 10240, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 6370, 16200, 69, 32375, 348, 248, 37566, 255, 17258, 26100, 457, 34621, 27481, 387, 24463, 4704, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 1737, 26242, 319, 282, 6370, 15031, 473, 10306, 348, 248, 37566, 255, 17258, 848, 394, 27774, 6663, 2139, 2820, 27481, 387, 24463, 10240, 4580, 3458, 324, 254, 374, 18, 19, 25, 15, 19, 26, 2079, 802, 14, 13532, 5384, 11905, 274, 512, 637, 15, 36908, 5022, 16, 188, 12878, 67, 388, 560, 2139, 9501, 8969, 282, 7829, 18306, 5039, 33664, 939, 17989, 25823, 282, 321, 2828, 328, 4029, 338, 22, 14, 374, 18, 19, 25, 387, 42630, 9960, 5117, 1186, 5044, 276, 4117, 42147, 14, 2856, 16, 188, 46, 592, 20798, 9501, 8969, 282, 7829 ]

[ 1, 188, 3719, 684, 28933, 13575, 10, 35424, 11, 188, 0, 2855, 20272, 188, 2720, 73, 426, 20272, 16, 784, 25540, 18050, 1554, 31178, 188, 339, 4623, 1554, 870, 2224, 347, 870, 7073, 870, 1356, 188, 187, 34832, 16, 21050, 5985, 10, 5097, 31, 34832, 16, 10042, 10181, 14, 5811, 567, 44366, 285, 292, 552, 11, 85, 2384, 10, 1554, 11, 85, 2384, 10, 5097, 1554, 4444, 23, 85, 28, 2384, 10, 8335, 11, 85, 2719, 188, 188, 2855, 11555, 188, 2855, 671, 188, 2855, 13783, 188, 2855, 3512, 188, 2855, 261, 10424, 188, 188, 3933, 257, 11511, 20, 1369, 475, 188, 188, 5, 440, 13601, 836, 282, 889, 7048, 412, 1187, 78, 188, 5, 3933, 7292, 5820, 16, 5820, 1369, 475, 188, 5, 3028, 6018, 12235, 72, 426, 1265, 6018, 12235, 188, 188, 3933, 5280, 1187, 78, 1369, 475, 534, 188, 2360, 401, 789, 26159, 28, 188, 187, 1510, 4623, 4338, 21257, 1262, 14, 5566, 65, 30128, 65, 29462, 31, 18, 16, 23, 2192, 986, 187, 31311, 1218, 1827, 16, 72, 789, 324, 3340, 11916, 986, 187, 1262, 16, 72, 789, 426, 470, 16, 986, 187, 1262, 16, 30128, 426, 5566, 65, 30128, 65, 29462, 986, 187, 1262, 3226, 19689, 426, 470, 16, 986, 187, 1262, 3226, 486, 253, 426, 470, 16, 986, 187, 1262, 3226, 6103, 65, 9007, 65, 486, 426, 470, 16, 534, 187, 1510, 6862, 10, 1262, 14, 19070, 2192, 986, 187, 1262, 3226, 486, 253, 6892, 19070, 986, 187, 1262, 3226, 19689, 6892, 338, 16, 986, 187, 339, 1827, 3226, 486, 2170, 1827, 16, 30128, 28, 978, 187, 1262, 16, 72, 789, 426, 1827, 3226, 19689, 1209, 1827, 3226, 486, 978, 187, 1262, 3226, 486, 253, 426, 470, 16, 978, 187, 1262, 3226, 19689, 426, 470, 16, 534, 188, 2360, 14104, 24596, 28, 188, 187, 1510, 4623, 4338, 21257, 1262, 14, 1246, 14, 341, 14, 3758, 14, 362, 2192, 986, 187, 1262, 16, 90, 14, 1827, 16, 91, 426, 1246, 14, 341, 986, 187, 1262, 16, 20649, 426, 3758, 986, 187, 1262, 16, 88, 426, 362, 986, 187, 1262, 16, 486, 426, 470, 16, 986, 187, 1262, 16, 26019, 426, 16247, 986, 187, 1262, 16, 84, 426, 470, 16, 986, 187, 1262, 16, 6286, 7610, 426, 470, 16, 24, 986, 187, 1262, 16, 13693, 20649, 426, 3758, 534, 187, 1510, 8376, 10, 1262, 2192, 986, 187, 1262, 16, 2123, 2070, 426, 338, 22, 18, 16, 6703, 187, 67, 426, 13783, 16, 4470, 2380, 10, 1262, 16, 20649, 558, 1827, 16, 13693, 20649, 11, 986, 187, 90, 19, 14, 341, 19, 426, 1827, 16, 90, 558, 1827, 16, 84, 475, 13783, 16, 7237, 10, 67, 581, 1827, 16, 91, 558, 1827, 16, 84, 475, 13783, 16, 4604, 10, 67, 11, 986, 187, 67, 426, 13783, 16, 4470, 2380, 10, 1262, 16, 20649, 558, 1827, 16, 13693, 20649, 558, 1827, 16, 2123, 2070, 11, 986, 187, 90, 20, 14, 341, 20, 426, 1827, 16, 90, 558, 1827, 16, 84, 475, 13783, 16, 7237, 10, 67, 581, 1827, 16, 91, 558, 1827, 16, 84, 475, 13783, 16, 4604, 10, 67, 11, 986, 187, 67, 426, 13783, 16, 4470, 2380, 10, 1262, 16, 20649, 558, 1827, 16, 13693, 20649, 428, 1827, 16, 2123, 2070, 11, 986, 187, 90, 21, 14, 341, 21, 426, 1827, 16, 90, 558, 1827, 16, 84, 475, 13783, 16, 7237, 10, 67, 581, 1827, 16, 91, 558, 1827, 16, 84, 475, 13783, 16, 4604, 10, 67, 11, 6703, 187, 3028, 6399, 22, 70, 10, 19, 896, 470, 16, 21, 14, 470, 16, 20, 14, 338, 16, 428, 1827, 16, 486, 1209, 1827, 16, 6286, 7610, 11, 6703, 187, 3028, 23614, 10, 5820, 65, 3025, 43, 13983, 1791, 65, 40, 1505, 11, 986, 187, 3028, 26449, 21, 70, 10, 90, 19, 14, 341, 19, 14, 470, 2612, 986, 187, 3028, 26449, 21, 70, 10, 90, 20, 14, 341, 20, 14, 470, 2612, 986, 187, 3028, 26449, 21, 70, 10, 90, 21, 14, 341, 21, 14, 470, 2612, 986, 187, 3028, 7486, 1067, 6703, 187, 3028, 6399, 22, 70, 10, 18, 16, 22, 14, 470, 896, 470, 896, 338, 16, 428, 1827, 16, 486, 1209, 1827, 16, 6286, 7610, 11, 6703, 187, 3028, 23614, 10, 5820, 65, 14923, 65, 8151, 2707, 11, 986, 187, 3028, 26449, 21, 70, 10, 90, 19, 14, 341, 19, 14, 470, 2612, 986, 187, 3028, 26449, 21, 70, 10, 90, 20, 14, 341, 20, 14, 470, 2612, 986, 187, 3028, 26449, 21, 70, 10, 90, 21, 14, 341, 21, 14, 470, 2612, 986, 187, 3028, 7486, 1067, 534, 187, 1510, 6862, 10, 1262, 14, 19070, 2192, 986, 187, 1262, 16, 84, 6892, 19070, 475, 848, 16, 986, 187, 1262, 16, 90, 6892, 1827, 16, 88, 475, 13783, 16, 7237, 10, 677, 16, 4470, 2380, 10, 1262, 16, 20649, 1210, 475, 19070, 986, 187, 1262, 16, 91, 6892, 1827, 16, 88, 475, 13783, 16, 4604, 10, 677, 16, 4470, 2380, 10, 1262, 16, 20649, 1210, 475, 19070, 986, 187, 1262, 16, 486, 6892, 19070, 986, 187, 1262, 16, 13693, 20649, 6892, 19070, 475, 338, 23, 18, 18, 16, 986, 187, 339, 1827, 16, 486, 2170, 1827, 16, 6286, 7610, 28, 978, 187, 1262, 16, 26019, 426, 11475, 534, 188, 2360, 35530, 28, 188, 187, 1510, 4623, 4338, 21257, 1262, 14, 1246, 14, 341, 14, 3758, 14, 362, 14, 7109, 2192, 986, 187, 1262, 16, 90, 14, 1827, 16, 91, 426, 1246, 14, 341, 986, 187, 1262, 16, 20649, 426, 3758, 986, 187, 1262, 16, 88, 426, 362, 986, 187, 1262, 16, 486, 426, 470, 16, 986, 187, 1262, 16, 84, 426, 470, 16, 23, 986, 187, 1262, 16, 26019, 426, 16247, 986, 187, 1262, 16, 18069, 426, 7109, 534, 187, 1510, 8376, 10, 1262, 2192, 986, 187, 67, 426, 13783, 16, 4470, 2380, 10, 1262, 16, 20649, 11, 986, 187, 90, 20, 14, 341, 20, 426, 1827, 16, 90, 14, 210, 1827, 16, 91, 986, 187, 90, 19, 14, 341, 19, 426, 1827, 16, 90, 558, 1827, 16, 84, 475, 13783, 16, 7237, 10, 67, 581, 1827, 16, 91, 558, 1827, 16, 84, 475, 13783, 16, 4604, 10, 67, 11, 6703, 187, 3028, 2721, 792, 6917, 10 ]

[ 1, 286, 16963, 3894, 18979, 85, 1140, 5846, 2453, 282, 1390, 248, 1603, 286, 439, 13988, 16, 1982, 368, 8012, 248, 10305, 47454, 11874, 368, 476, 14631, 282, 338, 17, 20, 4, 29335, 47454, 11874, 532, 587, 2353, 368, 282, 889, 3109, 20711, 2298, 343, 6081, 29335, 1637, 683, 338, 17, 20, 4, 324, 6681, 2243, 4793, 16, 188, 2052, 266, 343, 10305, 9278, 22967, 14311, 286, 47454, 14, 1021, 318, 398, 3838, 16, 188, 8274, 28, 436, 311, 248, 330, 282, 378, 42584, 13325, 324, 5862, 3944, 2471, 13558, 274, 1996, 637, 1828, 390, 1303, 3640, 9065, 11106, 390, 6234, 16, 1395, 1339, 3355, 1026, 1051, 282, 1577, 1444, 16, 1673, 6535, 311, 1640, 2471, 5569, 368, 1074, 248, 1157, 348, 43494, 2471, 16, 465, 1153, 635, 21750, 19469, 31354, 5374, 8285, 587, 1862, 1640, 1508, 328, 641, 3640, 16, 188, 2943, 16699, 276, 10305, 47454, 39278, 4680, 6143, 9286, 28378, 328, 7591, 13048, 3377, 353, 12979, 276, 24525, 16, 10072, 2008, 353, 587, 14101, 276, 1619, 16, 188, 7639, 3751, 610, 943, 2353, 261, 8833, 46396, 593, 4356, 1545, 1603, 1842, 390, 593, 324, 443, 19, 18, 323, 4858, 5258, 1063, 596, 6044, 348, 615, 3553, 957, 282, 1316, 286, 512, 6837, 328, 261, 8833, 785, 3195, 1438, 328, 314, 20188, 18911, 11, 669, 1545, 338, 15, 20, 260, 659, 603, 6143, 311, 6774, 286, 311, 276, 5574, 324, 6143, 9286, 2629, 1063, 11492, 16, 0, 10891, 28, 29947, 374, 19, 19, 13919, 29947, 470, 529, 12609, 374, 19, 19, 28, 9562, 406, 281, 4488, 399, 375, 38513, 374, 13794, 29947, 374, 19, 19, 3191, 21676, 273, 28, 657, 5335, 9562, 406, 281, 4488, 24585, 399, 375, 38513, 28, 8229, 587, 3223, 33, 4966, 12316, 71, 16, 657, 5335, 9562, 406, 281, 4488, 24585, 399, 375, 38513, 276, 3778, 28, 330, 7404, 16, 29947, 374, 19, 19, 28, 10967, 29663, 286, 13965, 15, 250, 387, 411, 359, 925, 91, 22468, 16, 9562, 406, 281, 4488, 399, 375, 38513, 28, 10903, 24993, 349, 21308, 24585, 399, 375, 38513, 282, 321, 2330, 888, 16, 657, 5335, 9562, 406, 281, 4488, 24585, 399, 375, 38513, 28, 330, 5871, 7150, 274, 14248, 16, 0, 3269, 756, 2537, 1842, 5615, 1863, 3206, 8486, 273, 6086, 286, 580, 274, 254, 1643, 10282, 26762, 28616, 274, 254, 802, 4917, 14, 40442, 5602, 2865, 248, 17262, 274, 34702, 568, 432, 254, 25961, 328, 6612, 14, 2474, 282, 30109, 14586, 9, 2702, 1180, 614, 16, 188, 510, 1280, 2957, 327, 254, 25961, 10202, 4602, 555, 6930, 5352, 495, 18, 1015, 11007, 7465, 5675, 14, 2185, 434, 14247, 14, 286, 3425, 286, 1631, 16, 188, 2432, 403, 641, 38603, 4317, 327, 14, 532, 254, 40442, 5602, 5675, 2024, 555, 643, 276, 286, 561, 274, 254, 25961, 434, 2743, 74, 3399, 687, 254, 2391, 4422, 274, 1090, 16, 31481, 568, 801, 3297, 276, 12369, 276, 4297, 274, 374, 18, 19, 22, 14, 533, 369, 669, 801, 2287, 407, 30109, 14586, 16, 188, 8465, 5603, 14, 254, 25961, 9831, 272, 5672, 713, 4043, 13047, 18616, 10862, 418, 608, 2495, 309, 4398, 301, 533, 3849, 282, 248, 4941, 15, 12838, 13030, 282, 1242, 254, 374, 18, 19, 23, 6649, 5675, 2858, 16, 309, 4398, 301, 5968, 345, 650, 4750, 254, 13565, 27704, 1527, 40442, 5602, 9, 32818, 18904, 3223, 687, 16872, 2341, 16, 188, 510, 11477, 274, 436, 3547, 4428, 625, 321, 1181, 7007, 324, 1450, 8462, 28777, 7446, 2635, 16, 1260, 374, 22, 25, 24360, 2704, 561, 14, 40442, 5602, 1503, 452, 254, 5793, 26762, 8621, 276, 254, 2504, 348, 254, 2024, 13792, 282, 2575, 254, 1708, 15, 14312, 265, 15002, 956, 276, 374, 18, 19, 24, 16, 380, 1676, 43954, 4250, 1741, 387, 1583, 16, 576, 276, 254, 30817, 16, 0, 8048, 802, 14, 11607, 49, 36279, 10047, 2292, 254, 944, 1726, 4314, 276, 254, 36863, 47139, 24638, 16, 826, 802, 14, 254, 7847, 587, 1354, 1619, 328, 4028, 374, 23, 1091, 374, 25, 387, 254, 20843, 3801, 15320, 5044, 276, 26737, 14, 286, 3789, 53, 36863, 5734, 311, 1062, 9714, 282, 10302, 327, 353, 587, 321, 29188, 387, 31231, 1800, 20, 18, 19, 26, 16, 1180, 1093, 15910, 254, 2288, 14, 360, 1623, 3409, 327, 368, 476, 1074, 254, 671, 282, 4010, 441, 286, 2941, 624, 668, 254, 512, 15, 258, 16000, 273, 5322, 360, 3831, 282, 1920, 368, 11733, 3, 188, 6426, 1890, 254, 2288, 324, 3789, 53, 587, 321, 248, 2214, 274, 495, 18, 13, 8925, 15, 5097, 2214, 2672, 286, 14654, 663, 587, 33365, 772, 10314, 34763, 4602, 273, 14, 11065, 14, 9995, 14, 9690, 8478, 1209, 10943, 14, 9690, 4305, 6053, 286, 3163, 348, 963, 348, 772, 33657, 1360, 9115, 3134, 16, 1583, 2563, 748, 633, 2485, 457, 85, 30836, 403, 14, 3789, 53, 476, 1336, 368, 8194, 729, 407, 1541, 971, 248, 2024, 327, 311, 4311, 282, 633, 5833, 286, 254, 8758, 9690, 9115, 3095, 353, 1503, 2377, 16, 188, 686, 1596, 282, 4569, 624, 668, 3789, 53, 36863, 5734, 14, 7847, 35596, 587, 669, 4126, 2876, 282, 6761, 671, 343, 624, 683, 848, 26, 18, 4663, 4956, 432, 512, 687, 254, 1499, 16, 188, 2148, 1093, 663, 587, 321, 328, 15, 10968, 1285, 254, 2288, 14, 368, 457, 619, 321, 8814, 282, 865, 327, 626, 587, 321, 248, 4524, 18329, 34488, 14, 272, 10314, 34763, 9115, 7131, 14, 248, 15256, 14405, 348, 963, 348, 11607, 49, 36279, 2421, 14, 533, 311, 248, 31167, 3609, 2211, 327, 10665, 3148, 432, 39014, 18195, 2814, 4484, 13493, 282, 6808, 13510, 10090, 1296, 4425, 5567, 18489, 16, 188, 9981, 1091, 2003, 811, 668, 10665, 353, 16, 1286, 368, 457, 251, 2731, 324, 624, 1460, 668, 3789, 53, 36863, 5734, 286, 748, 2701, 441, 254, 2485, 343, 769, 53, 16537, 282, 16144, 1395, 40385, 1756, 4356, 5370, 254, 2951, 7457, 282, 772, 2485, 1390, 16, 19957, 14, 1093, 663, 403, 5940, 276, 4569, 624, 668, 11607, 49, 36279, 286, 254, 8418, 33657, 9115, 2288, 9121, 276, 26737, 328, 4028, 374, 23, 428, 20, 25, 14, 4356, 5370, 1045, 16, 188, 7849, 593, 1181, 324, 3089, 254, 671, 2966, 14, 286, 360, 997, 3461, 282, 6349, 368, 512, 387, 31231, 1800, 20 ]

[ 1, 188, 2778, 8168, 2835, 369, 9394, 27824, 324, 248, 13936, 15, 17364, 2371, 432, 19587, 28, 345, 457, 70, 643, 5279, 10229, 14, 345, 7233, 1919, 432, 9343, 387, 688, 1110, 286, 6350, 2144, 282, 8994, 254, 42267, 17464, 345, 2950, 276, 19648, 14, 532, 311, 7317, 668, 254, 9197, 10073, 274, 772, 2504, 16, 14125, 14, 387, 641, 1110, 276, 772, 7621, 369, 1996, 274, 441, 1989, 796, 16, 314, 28828, 353, 4634, 1051, 327, 1802, 14, 310, 650, 452, 16315, 324, 2056, 14, 47511, 1120, 390, 641, 47511, 1120, 2612, 750, 369, 5940, 14, 8121, 286, 2875, 14, 276, 618, 2835, 286, 276, 618, 1963, 14, 286, 276, 748, 24228, 441, 282, 5053, 254, 1464, 360, 457, 307, 26324, 561, 324, 9113, 16, 188, 1130, 369, 2602, 248, 1157, 23609, 274, 254, 1575, 274, 2835, 16, 6317, 403, 10466, 13947, 286, 9009, 262, 1452, 14, 286, 310, 1141, 327, 276, 436, 1362, 286, 2289, 3233, 14, 596, 961, 282, 915, 1464, 16, 4772, 580, 872, 417, 997, 2019, 282, 915, 830, 5779, 555, 2584, 441, 1230, 7989, 14, 23266, 14, 286, 1136, 16707, 592, 276, 254, 2377, 274, 7386, 403, 2378, 593, 7602, 41012, 432, 254, 8698, 12660, 16, 7614, 14, 254, 6109, 1129, 3427, 2966, 1606, 282, 321, 624, 668, 15945, 14, 2080, 1186, 14, 286, 254, 6995, 282, 6725, 9177, 13672, 6570, 348, 14, 963, 14, 6995, 16, 188, 3992, 1038, 457, 86, 751, 479, 3320, 16, 310, 457, 79, 2056, 310, 573, 668, 348, 1181, 3373, 328, 436, 636, 348, 30374, 47037, 258, 3061, 852, 14, 6876, 314, 395, 18191, 1230, 43, 4143, 603, 345, 2378, 3432, 457, 86, 18191, 14276, 440, 1073, 276, 254, 636, 457, 85, 29482, 16, 310, 1848, 457, 86, 1041, 248, 6283, 561, 274, 775, 314, 43, 3470, 457, 86, 2732, 581, 310, 1848, 457, 86, 18045, 775, 327, 345, 286, 520, 4335, 12406, 282, 5129, 248, 1401, 314, 43, 3470, 457, 86, 2732, 581, 286, 310, 715, 2056, 345, 457, 85, 1034, 1544, 14059, 668, 254, 22742, 3306, 328, 254, 32435, 327, 345, 8300, 1815, 369, 248, 27715, 14, 532, 663, 3416, 561, 282, 452, 248, 46655, 274, 5588, 286, 248, 12161, 15003, 324, 7467, 16, 1268, 327, 457, 85, 417, 1623, 254, 1110, 16, 380, 1110, 311, 327, 310, 5926, 248, 1330, 5158, 274, 254, 2835, 327, 2572, 555, 1635, 479, 14, 286, 310, 457, 79, 1845, 3853, 327, 2572, 457, 85, 2835, 12406, 282, 321, 2117, 14, 286, 4395, 254, 4954, 15437, 282, 3768, 353, 276, 1408, 276, 248, 944, 12100, 1026, 16, 188, 5538, 254, 2560, 2835, 16, 731, 587, 321, 4269, 633, 671, 16, 0, 18422, 267, 17504, 1594, 713, 8603, 434, 2394, 16, 188, 45, 7616, 555, 1845, 643, 5167, 282, 479, 16, 188, 4816, 513, 368, 961, 282, 915, 10483, 33, 188, 43, 865, 416, 994, 16926, 12695, 14247, 16, 188, 6630, 258, 13500, 670, 254, 24648, 650, 3408, 16, 188, 47885, 307, 17541, 403, 2828, 324, 4517, 86, 434, 5098, 16, 188, 2899, 267, 4811, 2674, 1241, 1090, 3502, 16, 188, 5338, 625, 1970, 479, 2626, 368, 1038, 625, 961, 323, 9757, 282, 865, 16, 188, 8450, 5153, 14, 310, 961, 282, 452, 248, 1612, 2241, 343, 368, 16, 188, 1934, 255, 1391, 311, 10493, 328, 254, 2741, 16, 188, 26563, 311, 1851, 520, 3904, 354, 5272, 88, 1219, 1689, 1722, 16, 188, 510, 10442, 3362, 8245, 4428, 625, 751, 248, 1157, 473, 20, 2140, 4221, 974, 22706, 434, 3448, 497, 593, 5252, 16, 188, 31468, 255, 777, 26073, 2082, 520, 27292, 6249, 8572, 16, 188, 3916, 368, 865, 843, 282, 2960, 8973, 6060, 81, 33, 188, 41, 30850, 9874, 520, 259, 3228, 1672, 282, 915, 843, 2019, 345, 1817, 8649, 16, 188, 52, 2248, 1448, 18039, 265, 254, 6571, 742, 520, 1096, 8102, 16, 188, 53, 6805, 9183, 1143, 790, 274, 254, 1026, 310, 2241, 16, 188, 45085, 369, 2117, 345, 573, 2832, 811, 3970, 16, 188, 43, 1141, 310, 865, 748, 13705, 8199, 311, 2430, 1045, 16, 188, 5882, 609, 369, 248, 9382, 24806, 16, 0, 6545, 596, 1623, 13922, 436, 328, 4028, 401, 1047, 434, 6086, 33, 188, 15445, 254, 33605, 40255, 37118, 553, 297, 1546, 324, 633, 4688, 282, 3223, 248, 370, 23, 14, 18, 18, 18, 38760, 9597, 324, 633, 1689, 1247, 2371, 443, 1433, 1089, 3, 2048, 15427, 274, 4953, 41277, 286, 19985, 1483, 3840, 16, 188, 17622, 1451, 4117, 9137, 747, 1582, 1063, 16, 11352, 248, 7213, 324, 576, 282, 1427, 6934, 443, 4508, 3, 188, 17622, 1451, 3605, 9495, 343, 641, 27924, 274, 1789, 282, 513, 16, 11352, 248, 7213, 324, 374, 282, 5707, 3859, 1275, 3, 188, 7176, 580, 587, 368, 3223, 31977, 0, 779, 2705, 274, 1090, 2701, 327, 2508, 16, 188, 9334, 593, 14, 401, 366, 852, 1649, 272, 980, 282, 353, 248, 2298, 28982, 16, 188, 5213, 10986, 360, 3419, 772, 8030, 16, 188, 395, 310, 1218, 353, 687, 286, 687, 7162, 254, 1665, 27318, 1919, 16, 188, 67, 1612, 4715, 276, 254, 6234, 286, 254, 16527, 16, 0, 14183, 22336, 23827, 14, 7193, 5389, 496, 32650, 27144, 9724, 2807, 42011, 3, 188, 2678, 343, 248, 3561, 22787, 3587, 2497, 1491, 8085, 22760, 324, 248, 1656, 6333, 9540, 276, 254, 10014, 22336, 23827, 14, 7193, 5525, 28482, 16436, 8712, 32650, 706, 1676, 2625, 264, 16, 679, 286, 5166, 6582, 276, 1491, 8085, 35282, 16, 323, 437, 633, 1683, 27144, 9724, 328, 254, 416, 9185, 32650, 286, 2014, 769, 60, 33392, 666, 7905, 16, 8721, 16085, 6474, 32650, 2856, 10014, 22336, 23827, 14, 7193, 4738, 323, 13380, 4252, 26877, 5380, 53, 3, 188, 7731, 9981, 937, 46, 5319, 10014, 22336, 23827, 14, 7193, 6333, 9540, 32650, 5961, 3587, 2497, 6598, 348, 272, 5630, 282, 5732, 2057, 2497, 22760, 486, 16, 10014, 22336, 23827, 14, 7193, 39236, 476, 5166, 348, 1181, 348, 495, 7, 282, 719, 7, 276, 1491, 8085, 35282, 670, 960, 772, 2497, 16, 839, 3831, 39236, 276, 10014, 22336, 23827, 14, 7193, 4188, 274, 1491, 8085, 22760, 486, 3134, 16, 188, 14183, 22336, 23827, 14, 7193, 3206, 24882, 5389, 721, 12, 5243, 10014, 22336, 23827, 32650, 16032, 587, 669, 4615, 5285, 328 ]

[ 1, 494, 248, 248, 12745, 13957, 8143, 16, 2174, 13957, 3021, 3270, 494, 5058, 13957, 8143, 3270, 494, 324, 2174, 20055, 16, 0, 2432, 555, 643, 3509, 5786, 276, 254, 3310, 687, 3225, 3498, 668, 254, 45256, 274, 688, 274, 772, 24599, 286, 11089, 26972, 16, 188, 2721, 313, 4198, 294, 444, 34143, 68, 432, 254, 39393, 34612, 555, 34228, 8652, 407, 26390, 254, 3979, 286, 7535, 248, 3564, 9670, 2683, 276, 4903, 3526, 16, 188, 6235, 315, 14, 1315, 457, 85, 1041, 353, 2508, 327, 254, 3509, 9839, 5670, 274, 1427, 11795, 457, 85, 2974, 311, 2631, 743, 16, 188, 15069, 338, 2636, 254, 2504, 457, 85, 9839, 286, 11089, 7423, 687, 254, 1364, 338, 21, 18, 1090, 16, 188, 16365, 254, 944, 9817, 4659, 274, 254, 4080, 311, 327, 254, 5510, 457, 85, 11089, 2974, 369, 758, 624, 3360, 276, 254, 338, 27, 20, 18, 85, 14, 276, 254, 338, 27, 22, 18, 85, 1285, 3525, 3539, 3595, 14, 286, 869, 338, 27, 24, 19, 286, 338, 27, 25, 24, 683, 353, 555, 643, 3970, 16, 188, 686, 948, 14, 254, 2504, 457, 85, 11089, 2974, 555, 2602, 8010, 407, 272, 3278, 274, 470, 16, 25, 7, 4753, 1544, 338, 27, 25, 24, 14, 343, 3017, 24191, 338, 16, 19, 7, 4753, 869, 374, 18, 18, 19, 286, 374, 18, 18, 24, 16, 188, 23618, 15406, 387, 254, 11089, 2974, 10228, 5651, 254, 1110, 327, 688, 14, 532, 417, 512, 14, 24599, 15476, 403, 1129, 28145, 407, 624, 683, 254, 19166, 8219, 650, 1754, 16, 188, 3131, 338, 2636, 254, 9839, 22497, 343, 688, 274, 254, 5793, 2974, 11339, 869, 254, 374, 18, 18, 24, 286, 374, 18, 19, 21, 22610, 4970, 14, 348, 963, 348, 843, 1181, 615, 7423, 452, 10821, 3811, 1544, 615, 14069, 13226, 16, 188, 3912, 274, 254, 1794, 16411, 2362, 1125, 274, 836, 15476, 311, 254, 3252, 274, 248, 1956, 2135, 10875, 16, 188, 21511, 353, 321, 9484, 609, 314, 30883, 264, 12018, 14, 34922, 255, 1896, 14, 8301, 484, 4451, 581, 16853, 5009, 314, 25502, 22013, 329, 3980, 14, 5518, 569, 12501, 413, 14, 36268, 581, 254, 4524, 314, 57, 2213, 454, 87, 14, 19363, 3836, 581, 7873, 1540, 314, 54, 2213, 74, 2189, 581, 390, 13597, 5808, 6319, 314, 23231, 23328, 14, 39917, 518, 2527, 581, 254, 3505, 1865, 324, 944, 274, 836, 3748, 457, 85, 6071, 555, 22313, 390, 311, 641, 3248, 1225, 16, 188, 2148, 2489, 14, 254, 4462, 324, 615, 22753, 403, 1637, 4607, 286, 403, 2746, 282, 8934, 328, 1181, 624, 683, 14486, 9898, 286, 254, 16456, 282, 3936, 9839, 22497, 16, 1180, 1610, 14, 603, 360, 563, 888, 282, 338, 27, 21, 24, 14, 27850, 5333, 3605, 286, 17359, 267, 3980, 497, 2674, 254, 1057, 1921, 16, 188, 1931, 27850, 5333, 3605, 555, 2600, 4791, 963, 348, 272, 4584, 286, 3163, 14311, 14, 1205, 695, 9884, 14245, 555, 18898, 282, 3073, 12638, 687, 254, 3248, 15, 3818, 324, 9094, 390, 6000, 1091, 4780, 1899, 282, 254, 3652, 6177, 274, 14659, 348, 248, 12762, 1308, 2352, 343, 695, 18435, 1183, 2318, 1364, 5174, 16, 188, 510, 11494, 668, 2075, 9839, 22497, 1323, 12997, 276, 2349, 274, 2974, 286, 4903, 3017, 403, 2488, 14, 532, 580, 948, 327, 311, 2508, 311, 248, 769, 3839, 18381, 7324, 390, 2966, 457, 85, 3979, 1129, 3303, 407, 4475, 6902, 276, 254, 2391, 16, 188, 2148, 1610, 14, 626, 650, 1582, 452, 643, 248, 3748, 274, 665, 8230, 387, 15113, 22013, 329, 3980, 1269, 254, 8189, 8856, 2449, 1863, 254, 3447, 338, 27, 27, 18, 85, 254, 3748, 457, 85, 2950, 17480, 286, 23478, 2893, 16, 496, 1577, 14, 436, 4351, 311, 11231, 282, 452, 643, 4095, 1269, 254, 3748, 457, 85, 3132, 46171, 278, 457, 293, 251, 348, 248, 17696, 3408, 16, 188, 1516, 1802, 18381, 2034, 353, 457, 85, 26712, 492, 613, 282, 1754, 327, 14, 811, 974, 626, 311, 641, 3248, 248, 2196, 4903, 1865, 324, 15113, 22013, 329, 3980, 282, 2159, 14, 360, 933, 3256, 9238, 353, 16, 2028, 16130, 254, 4903, 16562, 274, 15476, 14, 360, 403, 8903, 4864, 668, 942, 457, 85, 4701, 286, 44281, 16, 188, 1843, 327, 14, 4780, 14, 311, 254, 12209, 1110, 327, 2234, 444, 34143, 68, 311, 2732, 282, 1041, 16, 4801, 603, 3017, 276, 24017, 590, 35884, 4313, 8042, 276, 688, 274, 836, 3551, 14, 248, 3748, 343, 248, 37927, 2974, 555, 282, 1323, 327, 1181, 1755, 328, 248, 590, 35884, 3596, 282, 6384, 695, 4475, 2209, 16, 188, 9984, 5344, 2974, 476, 4214, 1394, 282, 248, 20535, 21689, 274, 37927, 4681, 14, 2863, 274, 11216, 1402, 286, 2072, 45909, 14, 286, 3652, 3134, 14, 1863, 512, 327, 457, 85, 1628, 311, 248, 2560, 2187, 274, 48215, 15, 484, 16527, 14, 248, 3015, 7228, 14, 248, 5935, 14, 286, 4895, 248, 13021, 16, 188, 510, 2546, 274, 3686, 11068, 407, 942, 276, 35484, 386, 390, 37927, 15476, 11177, 8950, 758, 4183, 16, 188, 510, 2251, 274, 272, 9839, 2104, 311, 4131, 328, 272, 732, 4768, 4868, 274, 695, 32412, 14, 3405, 11019, 14, 3506, 5146, 390, 642, 5851, 2520, 14, 8189, 8856, 14, 286, 6255, 6288, 324, 2784, 942, 16, 188, 33314, 14, 254, 2142, 476, 513, 1612, 668, 665, 274, 836, 2533, 3584, 3405, 11019, 16, 188, 9928, 274, 1427, 11795, 457, 85, 2318, 26927, 497, 3303, 407, 615, 44146, 348, 17098, 14, 343, 364, 275, 1595, 286, 279, 1832, 273, 8946, 688, 274, 254, 17830, 11019, 1649, 276, 1619, 16, 188, 510, 4987, 274, 7873, 1540, 276, 254, 338, 27, 394, 5174, 5325, 597, 4472, 4708, 282, 642, 3551, 14, 17188, 743, 26927, 282, 1709, 16, 1223, 1002, 1012, 14, 254, 2142, 457, 85, 3843, 273, 7935, 276, 254, 22500, 1448, 4467, 16046, 1089, 555, 643, 248, 1500, 2715, 276, 29661, 254, 7728, 5042, 274, 4903, 2348, 6248, 4375, 432, 41233, 4264, 9266, 16, 188, 1931, 3405, 11019, 476, 756, 513, 593, 1181, 16, 188, 2432, 457, 85, 641, 1110, 3532, 248, 1694, 15, 33386, 5529, 1089, 432, 309, 4271, 27868, 282, 34922, 255, 1896, 14, 390, 432, 9266, 282, 15113, 22013, 329, 3980, 1091, 353, 650, 321, 248, 1062, 19402, 5598 ]

[ 1, 17, 17313, 15, 20, 16, 18, 188, 5, 188, 5, 15556, 2347, 407, 7559, 1533, 390, 5656, 282, 276, 3899, 14, 3571, 188, 5, 5770, 758, 254, 4493, 311, 5770, 328, 272, 347, 1675, 3977, 4, 22704, 14, 188, 5, 14588, 15039, 4012, 22284, 3368, 8867, 18771, 14, 1996, 3764, 390, 10195, 16, 188, 5, 2512, 254, 4493, 324, 254, 2107, 3335, 12841, 15176, 286, 188, 5, 7169, 758, 254, 4493, 16, 188, 188, 3933, 332, 20, 9523, 1369, 4623, 4015, 870, 188, 188, 870, 455, 870, 426, 543, 477, 684, 16563, 65, 23676, 1358, 1465, 684, 10956, 65, 9460, 65, 32498, 65, 25333, 43, 8678, 65, 9284, 1358, 477, 684, 36062, 65, 6871, 37859, 65, 32498, 65, 25333, 43, 8678, 65, 9284, 1358, 477, 684, 45260, 65, 45, 56, 65, 39846, 9, 188, 63, 188, 188, 16563, 65, 23676, 426, 684, 14844, 988, 525, 362, 7, 85, 9, 2384, 34875, 4015, 31178, 188, 188, 10956, 65, 9460, 65, 32498, 65, 25333, 43, 8678, 65, 9284, 426, 684, 1244, 20, 65, 10956, 65, 9460, 9, 188, 36062, 65, 6871, 37859, 65, 32498, 65, 25333, 43, 8678, 65, 9284, 426, 684, 1244, 20, 65, 36062, 65, 6871, 37859, 9, 188, 188, 5, 25814, 282, 17241, 512, 975, 4752, 6952, 276, 254, 2165, 15, 2788, 4513, 16, 188, 45260, 65, 45, 56, 65, 39846, 426, 684, 10124, 9, 188, 0, 5, 43384, 12088, 28, 38931, 15, 26, 43384, 188, 188, 5, 8064, 374, 18, 19, 25, 323, 4077, 1326, 43932, 294, 653, 85, 379, 41489, 34, 433, 698, 16, 679, 32, 188, 5, 188, 5, 826, 1819, 311, 628, 274, 740, 6114, 188, 5, 188, 5, 740, 6114, 311, 1903, 3571, 28, 368, 476, 24692, 353, 286, 17, 264, 9741, 188, 5, 353, 758, 254, 2349, 274, 254, 11641, 4078, 5105, 4493, 348, 3737, 407, 188, 5, 254, 7446, 8870, 6625, 14, 1996, 2629, 495, 274, 254, 4493, 14, 390, 188, 5, 314, 256, 633, 4360, 11, 665, 1938, 2629, 16, 188, 5, 188, 5, 740, 6114, 311, 5770, 276, 254, 3409, 327, 353, 587, 321, 4081, 14, 188, 5, 532, 14588, 8867, 22458, 29, 1269, 1002, 254, 10195, 17036, 274, 188, 5, 20242, 390, 19917, 6474, 330, 19783, 19517, 16, 210, 2512, 254, 188, 5, 11641, 4078, 5105, 4493, 324, 624, 4139, 16, 188, 5, 188, 5, 1395, 933, 452, 2865, 248, 3378, 274, 254, 11641, 4078, 5105, 4493, 188, 5, 2049, 343, 740, 6114, 16, 210, 1286, 417, 14, 915, 653, 2337, 1333, 2614, 16, 25606, 16, 2000, 17, 16652, 38457, 188, 188, 5, 10068, 12088, 624, 15118, 21, 15, 759, 188, 3933, 4623, 31111, 870, 1369, 314, 31622, 65, 2855, 14, 8790, 14, 3270, 65, 3578, 11, 188, 870, 3773, 318, 14013, 870, 426, 1479, 188, 188, 2855, 269, 1719, 383, 188, 2855, 35355, 188, 188, 5, 3646, 282, 1056, 327, 360, 452, 254, 36988, 324, 41793, 13200, 286, 4090, 65, 2137, 65, 10694, 65, 927, 65, 68, 4730, 65, 9321, 188, 68, 4730, 21, 426, 269, 1719, 383, 16, 2855, 640, 43037, 2012, 68, 4730, 21, 3291, 188, 11716, 406, 410, 426, 269, 1719, 383, 16, 2855, 640, 43037, 2012, 11716, 406, 410, 3291, 188, 188, 3933, 272, 6114, 16, 22128, 1369, 740, 6114, 4608, 188, 3933, 272, 6114, 16, 23348, 16, 250, 27589, 16, 11041, 65, 878, 20, 1369, 41793, 13200, 14, 4090, 65, 2137, 65, 10694, 65, 927, 65, 68, 4730, 65, 9321, 188, 188, 250, 4628, 426, 550, 477, 1453, 9, 686, 4628, 5141, 543, 647, 550, 87, 9, 9059, 26375, 5141, 550, 87, 9, 5283, 5141, 684, 24236, 34125, 575, 1453, 9, 15253, 38, 2157, 2327, 5141, 684, 878, 20, 15, 19, 20, 15, 21, 22, 23, 15, 24, 25, 15, 26, 27, 18, 16, 37898, 15, 19, 16, 31499, 11041, 16, 679, 1358, 575, 1453, 9, 5283, 5141, 550, 87, 9, 5954, 5141, 338, 24, 14, 1453, 9, 2327, 5141, 684, 23450, 34125, 575, 1453, 9, 39, 1720, 13586, 304, 1013, 5141, 16247, 14, 575, 1453, 9, 40168, 4620, 5141, 35355, 16, 35007, 10, 20, 18, 19, 25, 14, 338, 18, 14, 495, 19, 14, 338, 20, 14, 607, 27, 14, 374, 23, 581, 575, 1453, 9, 15253, 41815, 11901, 5141, 684, 19, 20, 16, 21, 22, 23, 16, 24, 25, 16, 26, 27, 18, 1358, 575, 1453, 9, 21597, 41815, 11901, 5141, 684, 18, 27, 26, 16, 25, 24, 16, 23, 22, 16, 21, 20, 19, 1358, 575, 1453, 9, 13076, 37, 3077, 5141, 23567, 575, 1453, 9, 56, 5735, 2535, 5141, 684, 88, 5735, 15, 19, 20, 21, 22, 23, 24, 25, 26, 1358, 575, 1453, 9, 5283, 37993, 39142, 5141, 28245, 575, 1453, 9, 10961, 2535, 5141, 684, 75, 15, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 1358, 575, 1453, 9, 39, 2011, 21361, 5141, 11475, 14, 575, 1453, 9, 6411, 2535, 5141, 684, 7387, 15, 19, 20, 21, 22, 23, 24, 25, 26, 1358, 575, 1453, 9, 21597, 38, 2157, 2327, 5141, 684, 531, 15, 18, 27, 26, 15, 25, 24, 15, 23, 22, 15, 21, 20, 19, 16, 878, 20, 16, 11265, 1358, 575, 1453, 9, 4664, 2327, 5141, 684, 2484, 2290, 1358, 575, 1453, 9, 19758, 31185, 5141, 32218, 87, 9, 47012, 5141, 684, 6799, 1358, 1453, 9, 6811, 2535, 5141, 684, 8212, 15, 19, 20, 21, 22, 23, 24, 25, 26, 13614, 1077, 575, 1453, 9, 8742, 10906, 5141, 28245, 575, 1453, 9, 5459, 2929, 2535, 5141, 684, 2303, 2929, 15, 19, 20, 21, 22, 23, 24, 25, 26, 1358, 575, 1453, 9, 10961, 2466, 5141, 684, 86, 20, 16, 17706, 1358, 575, 1453, 9, 19248, 6330, 6337, 5141, 543, 926, 550, 87, 9, 9255, 5141, 684, 250, 15, 2255, 1358, 7627, 1453, 9, 13441, 11901, 5141, 684, 19, 20, 28, 67, 18, 28, 23, 18, 28, 22, 20, 28, 21, 70, 28, 67, 22, 1358, 7627, 1453, 9, 7577, 21791, 8828, 5141, 11475, 14, 7627, 1453, 9, 56, 5735, 2535, 5141, 684, 88, 5735, 15, 19, 20, 21, 22, 23, 24, 25, 26, 1358, 7627, 1453, 9, 10891, 5141, 28245, 7627, 1453, 9, 19248, 14024, 2535, 5141, 684 ]

[ 1, 13274, 276, 254, 18569, 457, 328, 254, 3467, 318, 820, 22540, 387, 254, 36441, 19099, 16, 188, 5078, 265, 276, 374, 18, 18, 22, 14, 28553, 32069, 771, 9038, 311, 1683, 282, 248, 3015, 274, 2745, 1604, 432, 2362, 254, 1499, 16, 2640, 687, 495, 18, 2672, 14, 436, 23738, 15, 3066, 39078, 555, 2411, 29034, 324, 695, 4311, 11463, 274, 29764, 14, 18806, 286, 1499, 3327, 16, 6730, 3327, 348, 248, 1026, 282, 2706, 286, 4540, 14, 23128, 12375, 276, 4703, 695, 38113, 1036, 3808, 28, 2714, 12372, 1171, 10481, 276, 3997, 14960, 4186, 25989, 44473, 14, 2966, 254, 29764, 1361, 7583, 695, 9205, 348, 10726, 457, 85, 4144, 732, 36032, 39078, 16, 9720, 561, 624, 668, 729, 1045, 16, 188, 38, 301, 16090, 282, 529, 1906, 14, 354, 11506, 286, 9946, 668, 254, 6598, 274, 1015, 10762, 328, 3798, 14, 286, 596, 2247, 254, 10711, 1213, 3108, 2714, 510, 12814, 13274, 276, 254, 18569, 457, 348, 963, 348, 254, 3808, 3108, 353, 16, 1547, 669, 2247, 28553, 32069, 771, 9038, 457, 85, 3808, 274, 9302, 286, 254, 3177, 274, 3015, 1111, 395, 1963, 1111, 3414, 28553, 32069, 771, 9038, 3290, 324, 942, 274, 512, 10762, 286, 3746, 995, 939, 254, 2875, 10725, 274, 4358, 16, 188, 4412, 436, 14, 360, 3957, 254, 2949, 274, 2714, 29303, 13274, 276, 254, 18569, 15787, 533, 3672, 688, 36319, 13084, 732, 1021, 398, 265, 343, 5230, 15672, 16, 22946, 929, 432, 1491, 2705, 286, 5514, 343, 9323, 14, 2714, 510, 12814, 13274, 276, 254, 18569, 457, 3809, 248, 13034, 997, 387, 15729, 9726, 286, 748, 353, 2034, 324, 10726, 16, 2807, 4782, 248, 4179, 282, 6109, 274, 9302, 368, 403, 12129, 282, 4736, 2154, 843, 360, 476, 1916, 272, 24658, 5779, 324, 11283, 286, 34472, 7681, 19038, 16, 0, 1516, 311, 254, 1250, 5527, 274, 254, 1722, 274, 4087, 286, 310, 715, 11811, 19859, 959, 387, 254, 13921, 1089, 38030, 1228, 25805, 5156, 3, 188, 40140, 4344, 26245, 16, 310, 1623, 747, 254, 12068, 286, 6331, 276, 254, 3925, 16, 380, 13362, 7156, 311, 3136, 4576, 1480, 16, 188, 1130, 311, 248, 1062, 2875, 3021, 16, 310, 2541, 561, 763, 2718, 21795, 29, 338, 17, 20, 18093, 286, 338, 17, 26, 18093, 4474, 14, 286, 40508, 729, 328, 282, 254, 3021, 2530, 16, 2552, 310, 41693, 248, 20815, 432, 657, 1277, 75, 457, 5519, 43706, 85, 769, 6128, 46730, 666, 867, 1241, 2008, 14, 35367, 286, 7457, 343, 21750, 20502, 16, 380, 9127, 20815, 311, 432, 22174, 14699, 16, 188, 12963, 2056, 282, 4010, 254, 13921, 1089, 38030, 1228, 25805, 5156, 286, 915, 748, 254, 2150, 2214, 286, 618, 7512, 11811, 16565, 411, 4215, 452, 3446, 16, 188, 2515, 3837, 3, 10264, 327, 2875, 21277, 1051, 254, 3925, 16, 188, 22608, 436, 33424, 3021, 14, 1247, 2150, 3, 188, 2440, 311, 593, 4344, 16, 626, 403, 593, 1125, 21924, 282, 254, 7315, 532, 417, 403, 473, 12793, 43, 26877, 16, 310, 2314, 34821, 561, 254, 7705, 16, 310, 573, 248, 6833, 274, 790, 2430, 436, 343, 368, 3, 0, 10186, 248, 3225, 4429, 343, 16046, 14, 380, 38607, 1745, 25037, 22117, 28706, 555, 4799, 1612, 15, 4165, 4932, 668, 254, 2860, 869, 380, 38607, 2672, 14, 2436, 34876, 252, 286, 5018, 8543, 435, 2125, 16, 188, 1590, 16756, 749, 327, 328, 248, 1162, 274, 15100, 596, 457, 70, 321, 276, 254, 4617, 274, 272, 4020, 286, 2436, 650, 811, 3660, 520, 1612, 649, 9792, 17049, 1051, 254, 980, 274, 520, 11172, 14, 997, 687, 254, 1708, 286, 1309, 14, 2714, 1130, 457, 85, 756, 479, 457, 286, 835, 563, 888, 282, 25630, 286, 47197, 286, 1810, 10463, 16, 188, 6957, 1045, 282, 2520, 274, 254, 2835, 16, 188, 1590, 2432, 369, 580, 6932, 387, 254, 4747, 274, 18131, 283, 30852, 276, 338, 27, 24, 23, 670, 345, 2602, 12319, 977, 1051, 939, 6010, 282, 254, 6248, 8624, 276, 39068, 16, 188, 1304, 573, 248, 3117, 279, 25330, 2595, 286, 573, 520, 4561, 1989, 265, 12997, 16, 496, 948, 14, 345, 369, 3416, 1919, 432, 248, 4959, 5293, 974, 345, 1848, 457, 86, 997, 4344, 2151, 3, 0, 51, 19, 16, 34464, 1081, 248, 35054, 286, 4466, 28752, 282, 5406, 276, 436, 370, 19, 19, 18, 271, 1523, 4236, 324, 254, 1689, 719, 2524, 16, 2253, 2110, 282, 12840, 12362, 14, 13115, 14, 11947, 286, 512, 4479, 286, 20804, 1460, 324, 436, 28752, 14, 1648, 254, 5077, 2347, 282, 3316, 254, 28752, 387, 254, 980, 274, 254, 671, 16427, 16, 188, 51, 20, 16, 399, 8328, 254, 11057, 286, 23041, 274, 254, 35054, 286, 4466, 21207, 3280, 7916, 276, 254, 1788, 1897, 16, 2253, 2056, 282, 2247, 254, 1726, 7589, 274, 254, 763, 21207, 3280, 7916, 1648, 14, 532, 417, 3587, 282, 14, 254, 5189, 5925, 16, 188, 686, 642, 2906, 14, 1862, 254, 8778, 2133, 324, 1004, 4479, 2413, 274, 254, 2365, 13259, 2210, 16, 188, 67, 16, 1691, 311, 272, 24966, 434, 712, 991, 282, 354, 4802, 414, 33, 271, 16, 1691, 311, 272, 24966, 434, 712, 991, 282, 9120, 33, 188, 2275, 1181, 624, 587, 616, 4507, 452, 282, 1674, 1004, 802, 324, 254, 1689, 2537, 1090, 282, 452, 254, 7852, 2347, 324, 25474, 434, 4584, 33, 188, 9928, 8660, 11586, 6000, 282, 7274, 2485, 5574, 16, 1334, 476, 248, 2485, 8367, 5574, 12498, 33, 188, 16818, 368, 6094, 254, 5285, 274, 380, 14586, 1834, 3991, 6313, 282, 6259, 2210, 2417, 348, 9730, 5285, 33, 18637, 5285, 33, 42775, 42788, 33, 188, 2148, 1004, 274, 836, 763, 3781, 9282, 14, 10077, 6521, 11705, 282, 1868, 254, 1527, 16, 314, 67, 11, 380, 32228, 274, 254, 13037, 16, 188, 510, 1040, 274, 272, 1564, 2210, 1767, 328, 254, 2703, 1294, 274, 248, 18065, 37916, 434, 16893, 311, 248, 1142, 274, 1241, 1789, 16, 0, 4884, 14, 324, 1610, 14, 2556, 22392, 1145, 356, 16, 314, 20, 18, 18, 20, 11, 390, 378, 4280, 14, 28185, 286, 20301, 1048, 314, 20, 18, 18, 20, 481, 188, 4884, 29530, 286, 3574, 81, 275, 314, 20, 18, 18, 23, 11, 390, 1729, 268, 5111, 277, 286, 37627, 10353, 12896, 314, 20, 18, 18, 27, 481, 188, 3014 ]

[ 1, 11, 647, 10207, 426, 3005, 327, 1041, 597, 254, 11247, 387, 254, 1708, 274, 254, 1819, 647, 2768, 268, 1083, 426, 3005, 4832, 432, 830, 254, 931, 7435, 477, 11916, 14973, 324, 883, 14, 299, 276, 47859, 10, 8509, 2192, 647, 1056, 426, 299, 16, 8909, 10, 7355, 250, 6720, 18, 63, 647, 1800, 1286, 353, 476, 625, 321, 3416, 713, 248, 8035, 311, 311, 1311, 248, 628, 274, 254, 10207, 647, 1574, 28, 926, 8035, 10, 2484, 11, 926, 1076, 883, 14, 3005, 61, 18, 28, 75, 1077, 3005, 61, 75, 33144, 647, 3584, 28, 926, 3906, 477, 1076, 428, 19, 14, 3005, 14, 7954, 188, 188, 1510, 5228, 9612, 3662, 33051, 10, 5263, 21114, 14, 3340, 21114, 426, 684, 9007, 16, 90, 44729, 1358, 10207, 7357, 426, 8037, 14, 1836, 426, 338, 18, 16, 18, 2192, 477, 11916, 477, 826, 1308, 3809, 272, 954, 90, 44729, 1819, 14, 25690, 665, 39056, 3005, 274, 931, 390, 931, 3005, 327, 403, 417, 10210, 1034, 16, 210, 1465, 3175, 28, 647, 3175, 21114, 428, 314, 2689, 11, 1390, 274, 3175, 1819, 647, 3340, 21114, 428, 314, 21021, 2787, 11, 1390, 274, 3340, 1819, 14, 4145, 311, 3340, 16, 90, 44729, 14, 368, 476, 2023, 254, 1057, 1390, 348, 254, 3175, 1819, 14, 532, 353, 587, 321, 687, 3427, 16, 12938, 3340, 21114, 428, 314, 21021, 14, 4461, 11, 1390, 274, 3340, 3039, 14, 587, 561, 3340, 248, 1819, 343, 254, 1057, 1390, 348, 3175, 603, 417, 2449, 647, 10207, 7357, 428, 314, 21021, 14, 539, 11, 1162, 274, 3005, 387, 254, 4917, 274, 254, 1819, 10957, 274, 11247, 14, 603, 8037, 436, 587, 321, 1102, 14, 603, 368, 865, 626, 311, 641, 10207, 8967, 10207, 426, 470, 16, 647, 8057, 428, 314, 21021, 14, 8035, 11, 254, 2476, 274, 931, 327, 476, 321, 5023, 1063, 248, 9477, 311, 11154, 16, 12938, 11423, 428, 314, 21021, 14, 8035, 11, 254, 2476, 274, 931, 327, 476, 321, 5023, 286, 1311, 1382, 254, 2024, 16, 1286, 624, 931, 311, 1382, 272, 6343, 311, 5279, 16, 210, 1465, 3340, 28, 647, 641, 6374, 14, 532, 10238, 272, 3340, 1819, 343, 512, 274, 254, 1303, 15, 5366, 3662, 931, 432, 254, 3175, 1819, 16, 7915, 11916, 1465, 1800, 1286, 3175, 1819, 417, 1102, 6975, 272, 6343, 477, 603, 417, 7481, 16, 3839, 16, 2946, 586, 10, 5263, 21114, 2192, 647, 1819, 4608, 426, 19000, 1551, 8748, 8267, 417, 1102, 1445, 11, 647, 6975, 1819, 4608, 14973, 1800, 6529, 276, 1819, 282, 1074, 10207, 286, 2884, 274, 931, 477, 3175, 4365, 426, 1493, 10, 5263, 21114, 3984, 84, 3291, 477, 3005, 426, 3175, 4365, 16, 1073, 8509, 1067, 477, 3175, 4365, 16, 10212, 1067, 1465, 1800, 19789, 10207, 3005, 324, 35553, 16, 1506, 3933, 9867, 282, 785, 477, 1800, 1286, 417, 2449, 1074, 353, 28, 477, 603, 10207, 7357, 2224, 8037, 28, 647, 10207, 7357, 14, 10207, 14, 2768, 268, 1083, 426, 1074, 3129, 8034, 10, 8509, 11, 647, 1800, 11430, 1581, 274, 3005, 276, 10207, 713, 248, 1956, 2787, 647, 10207, 426, 684, 5813, 13575, 10, 9879, 11, 1465, 1800, 1286, 10207, 7357, 369, 2449, 286, 353, 434, 8522, 683, 4907, 751, 10207, 28, 477, 27985, 10207, 7357, 2170, 470, 28, 647, 10207, 426, 3005, 61, 18, 28, 9879, 7357, 63, 647, 1800, 10068, 10207, 3005, 713, 2787, 647, 10207, 426, 684, 5813, 13575, 10, 9879, 11, 575, 477, 1952, 28, 1800, 10207, 7357, 2224, 470, 28, 647, 10207, 426, 14661, 1800, 826, 311, 4145, 324, 35553, 16, 46017, 293, 632, 1465, 1800, 1180, 3899, 10207, 6206, 360, 513, 417, 961, 254, 1364, 1839, 282, 2706, 743, 1360, 477, 603, 10207, 16155, 19, 63, 2224, 17600, 80, 5141, 647, 10207, 426, 10207, 17775, 15, 19, 63, 1465, 1800, 2884, 274, 3132, 931, 867, 28, 477, 931, 10547, 426, 8249, 10, 8509, 11, 428, 10207, 7357, 1465, 1800, 7683, 728, 3933, 9867, 282, 751, 931, 477, 1800, 16574, 65, 9879, 1591, 2736, 3005, 387, 254, 4917, 274, 254, 1819, 477, 1800, 11751, 65, 21832, 2034, 327, 603, 248, 1360, 311, 1102, 343, 254, 3320, 1162, 274, 11705, 835, 353, 587, 321, 12489, 286, 248, 9477, 587, 321, 11154, 477, 931, 426, 15313, 16, 1506, 3933, 9867, 10, 5263, 21114, 14, 16574, 65, 9879, 426, 10207, 7357, 14, 11751, 65, 21832, 426, 16247, 11, 1713, 14973, 1800, 5162, 561, 843, 1181, 931, 369, 5023, 28, 477, 1574, 28, 647, 248, 426, 8249, 10, 2137, 61, 18, 3185, 647, 720, 10547, 426, 931, 10547, 428, 8249, 10, 2137, 11, 477, 3584, 28, 647, 720, 10547, 426, 931, 10547, 428, 338, 253, 647, 931, 426, 543, 2137, 63, 477, 11423, 426, 539, 10, 23995, 475, 931, 10547, 17, 19, 18, 18, 16, 18, 11, 477, 1800, 3719, 11423, 1465, 1800, 17790, 843, 1125, 3005, 497, 5023, 390, 477, 1800, 41384, 272, 2160, 603, 624, 683, 684, 23995, 9, 7, 274, 931, 5023, 477, 603, 720, 10547, 2224, 470, 28, 647, 3270, 347, 2231, 17213, 3005, 1102, 14, 641, 931, 369, 5023, 432, 2384, 85, 4, 2384, 10, 5263, 21114, 11, 477, 27985, 720, 10547, 9855, 11423, 28, 647, 4975, 8271, 18693, 4608, 426, 19000, 21539, 75, 39056, 3005, 274, 2384, 75, 1102, 14, 327, 311, 624, 683, 42962, 19, 72, 2476, 16, 6064, 18693, 4104, 14, 8943, 3175, 1819, 210, 2384, 85, 4, 2384, 314, 70, 339, 10547, 14, 931, 10547, 14, 1836, 14, 3175, 21114, 1210, 647, 6975, 4975, 8271, 18693, 4608, 477, 1952, 28, 1800, 30194, 5023, 14, 532, 1637, 683, 9477, 2615, 647, 603, 417, 7481, 16, 3839, 16, 18830, 2012, 90, 44729, 15, 68, 518, 45098, 926, 7481, 16, 79, 6658, 18824, 2012, 90, 44729, 15, 68, 518, 3291, 647, 3378, 20, 10, 5263, 21114, 3984, 11075, 90, 44729, 15, 68, 518, 17, 29550, 5263, 21114, 11, 647, 3270, 16795, 75, 17213, 3005, 274, 2384, 75, 1102, 286, 5023, 432, 2384, 85, 4, 2384, 314, 70, 339, 10547, 14, 931, 10547, 14, 3175, 21114, 11, 14843, 477, 1800, 7683, 35553, 5580, 293, 632, 282, 3510, 931, 314, 3014, 10207, 11, 282, 254, 3340, 1819, 477, 1800, 20451, 37846, 254, 5811, 274, 254, 8035, 14, 324, 1012, 353, 311, 254 ]

[ 1, 570, 587, 10888, 343, 5009, 13085, 3335, 348, 963, 16, 188, 2976, 836, 2533, 774, 2730, 248, 1401, 457, 85, 1827, 15, 39022, 1899, 282, 2863, 274, 6973, 16, 1547, 774, 2780, 596, 403, 417, 348, 6873, 348, 615, 21080, 16, 2003, 457, 85, 38519, 14, 974, 276, 4445, 414, 14, 1125, 5588, 343, 7706, 1555, 570, 403, 6450, 286, 35243, 1111, 13710, 4569, 2967, 555, 2631, 282, 513, 343, 9015, 390, 28122, 16, 188, 2275, 2532, 310, 11903, 2666, 8126, 5834, 265, 33, 188, 13059, 286, 2628, 4584, 10670, 403, 14258, 282, 2941, 3148, 596, 476, 668, 7706, 1555, 570, 16, 8486, 597, 324, 5537, 2363, 13151, 327, 2247, 1885, 15, 3066, 4221, 37882, 282, 1336, 2086, 663, 452, 7706, 1555, 570, 14, 819, 348, 254, 2141, 1275, 15, 41, 3741, 3836, 1308, 16, 380, 28451, 5833, 20113, 1201, 315, 5961, 248, 3064, 274, 5537, 2363, 8856, 324, 10670, 14, 1081, 276, 1408, 348, 963, 348, 3783, 16, 330, 9475, 27477, 276, 3520, 668, 7706, 1555, 570, 476, 321, 248, 7866, 286, 248, 2099, 1641, 255, 324, 248, 1401, 663, 8950, 593, 1062, 1015, 16, 188, 2433, 32344, 16228, 34383, 1860, 331, 1475, 399, 654, 1555, 570, 15208, 33, 188, 27745, 2636, 327, 2318, 7923, 286, 7076, 311, 254, 2165, 282, 8838, 248, 1401, 343, 7706, 1555, 570, 2941, 282, 1218, 16, 2341, 407, 1350, 14, 5168, 403, 1129, 4667, 23170, 6607, 324, 2318, 9028, 274, 2086, 1111, 16988, 7706, 1555, 570, 476, 321, 3516, 348, 2318, 348, 2289, 607, 8094, 16, 5431, 5168, 1305, 9028, 2086, 276, 38682, 38571, 390, 338, 297, 9392, 14, 286, 835, 15175, 729, 276, 272, 6661, 14, 1518, 262, 39967, 4221, 2024, 324, 19843, 10774, 11570, 282, 1336, 1093, 343, 7706, 1555, 570, 16, 1664, 311, 669, 248, 743, 43511, 399, 654, 1555, 570, 24815, 317, 276, 254, 529, 16, 53, 16, 5594, 327, 1125, 5703, 3409, 587, 321, 20185, 276, 254, 2734, 2764, 16, 188, 9334, 343, 819, 4221, 5495, 276, 1619, 14, 353, 311, 1726, 282, 4316, 327, 7706, 1555, 570, 311, 248, 35161, 4569, 2967, 16, 731, 311, 417, 561, 29076, 286, 626, 311, 641, 769, 69, 459, 1397, 1270, 468, 11881, 286, 43754, 403, 1062, 1726, 16, 188, 41734, 1201, 315, 311, 248, 3746, 28451, 327, 7526, 3371, 276, 38682, 38571, 939, 15682, 2079, 663, 452, 3270, 25651, 747, 7706, 1555, 570, 16, 380, 5833, 5961, 1903, 2796, 43434, 14, 4244, 250, 1020, 286, 9475, 1305, 16, 9720, 561, 624, 407, 13594, 8061, 16, 41734, 2345, 315, 16, 2000, 390, 1052, 848, 18, 18, 15, 20, 20, 19, 15, 22, 25, 27, 20, 16, 0, 6644, 23708, 2070, 14, 254, 9670, 18089, 6577, 327, 5441, 282, 1916, 254, 338, 25, 15, 24597, 36436, 15, 3852, 904, 7873, 1360, 14, 13665, 9359, 324, 370, 19, 21, 26, 2945, 276, 1350, 7852, 436, 802, 670, 254, 1350, 5816, 274, 25697, 6825, 254, 338, 18, 15, 2823, 2341, 25697, 41458, 8028, 16, 188, 1304, 749, 1922, 6166, 286, 44235, 6166, 452, 4168, 1837, 282, 1263, 254, 1665, 15, 36579, 2133, 16, 20843, 286, 36436, 5656, 282, 2014, 615, 3768, 343, 248, 9676, 2630, 15, 1137, 6053, 2802, 20353, 726, 276, 1081, 21154, 14, 345, 749, 14, 286, 596, 15599, 328, 1350, 7852, 16, 188, 26706, 17170, 14, 3497, 23708, 2070, 457, 85, 2025, 7014, 14, 749, 254, 36436, 15, 3852, 904, 1360, 7846, 695, 15347, 670, 353, 28149, 343, 17155, 6319, 324, 8141, 758, 248, 743, 2024, 3591, 407, 8558, 6851, 324, 4610, 12762, 8864, 23210, 16, 188, 27750, 398, 276, 20843, 286, 36436, 21154, 452, 9107, 512, 2049, 282, 751, 11159, 2630, 254, 5189, 2042, 432, 254, 4260, 2142, 286, 580, 15, 34118, 432, 254, 1350, 14, 343, 254, 6242, 3435, 432, 1922, 6053, 10203, 16, 826, 2065, 14, 254, 7468, 38366, 13132, 3419, 3497, 23708, 2070, 370, 19, 16, 25, 2945, 282, 1305, 5661, 324, 18089, 15, 20455, 2363, 1444, 254, 1665, 15, 36579, 10704, 16, 188, 57, 639, 3801, 933, 417, 321, 5709, 407, 254, 743, 1665, 15, 36579, 2615, 16, 380, 18089, 2035, 758, 7966, 276, 254, 5189, 9382, 3672, 272, 4360, 324, 7873, 1091, 532, 353, 457, 85, 417, 254, 769, 3139, 666, 2169, 14, 533, 6438, 328, 13597, 16, 33344, 311, 7103, 248, 18089, 2035, 327, 1503, 2408, 26994, 18248, 1869, 27632, 2623, 4934, 1091, 7873, 8235, 19753, 407, 1999, 27632, 14505, 16, 188, 510, 743, 7363, 669, 3809, 4248, 387, 374, 27, 1350, 4347, 274, 25697, 6000, 14, 3569, 7180, 1091, 6930, 407, 615, 1999, 1844, 3778, 1091, 403, 3516, 324, 19807, 16, 188, 1130, 457, 85, 248, 1581, 269, 1080, 1051, 432, 272, 4182, 8677, 7363, 10149, 282, 751, 8095, 274, 607, 24, 2107, 44235, 6000, 16, 380, 3652, 4212, 1581, 1311, 3672, 17898, 18853, 286, 763, 8251, 14654, 343, 31333, 1788, 370, 19, 19, 23, 14, 18, 18, 18, 28, 1569, 46122, 3904, 7195, 14, 663, 17663, 266, 17155, 2150, 14, 2133, 2363, 286, 642, 3134, 348, 44235, 457, 85, 637, 11365, 6251, 29, 286, 25474, 20798, 38700, 14, 663, 311, 5346, 324, 17155, 9115, 286, 642, 2030, 373, 348, 44235, 457, 85, 14807, 4184, 16064, 16, 188, 18063, 12582, 796, 6851, 452, 749, 254, 2545, 11845, 403, 2815, 282, 11958, 15, 484, 12337, 285, 324, 20204, 39295, 1091, 282, 1315, 2958, 27513, 1354, 687, 11065, 286, 642, 7180, 1012, 2152, 407, 44235, 6000, 16, 1268, 641, 22197, 452, 643, 5740, 324, 254, 1748, 4314, 6596, 324, 19807, 16, 188, 6018, 15772, 9274, 12746, 12026, 27543, 12714, 282, 4245, 328, 254, 12762, 7363, 16, 3904, 7195, 286, 20798, 38700, 852, 417, 3669, 282, 9501, 324, 4245, 16, 188, 44115, 2723, 276, 254, 7363, 14, 35835, 2232, 5211, 2509, 6704, 276, 642, 19454, 324, 19807, 16, 37329, 6000, 403, 6914, 324, 3577, 282, 254, 9580, 295, 32836, 4347, 274, 14272, 286, 29965, 18686, 14, 830, 596, 2417, 1851, 615, 7180, 295, 38126, 390, 17034, 16, 188, 32977, 1601, 254, 33824, 3577, 274, 370, 20, 19, 24, 2945, 432, 254, 21130, 10696, 282, 254, 4078, 10696, 16, 826, 311, 3556, 2802, 2501, 14, 3713, 5864, 324, 12762, 3095, 16, 380, 1767, 2034, 327, 44235, 587, 452, 624, 2501 ]

[ 1, 427, 9519, 1661, 16, 188, 20, 20, 28, 22, 19, 20044, 6470, 14864, 2909, 26180, 6721, 16, 188, 20, 20, 28, 22, 26, 3977, 27309, 7806, 9, 53, 11179, 2554, 5766, 8500, 399, 10854, 928, 188, 20, 22, 28, 21, 22, 6474, 8474, 4738, 6474, 10340, 16, 188, 20, 22, 28, 22, 18, 9930, 38934, 53, 1924, 5766, 19159, 9032, 47540, 16, 188, 20, 22, 28, 23, 25, 347, 15417, 37, 27619, 2554, 21360, 500, 36509, 14138, 16177, 2339, 53, 928, 188, 20, 23, 28, 18, 25, 2909, 19434, 17141, 53, 3368, 2909, 21788, 16, 188, 20, 23, 28, 19, 18, 3368, 2909, 19434, 17141, 53, 3368, 2909, 21788, 16, 188, 20, 23, 28, 19, 25, 4738, 330, 418, 24586, 1520, 10340, 1505, 2554, 16, 188, 20, 23, 28, 22, 21, 3368, 10325, 6986, 1037, 1405, 46838, 7743, 1384, 16, 188, 20, 24, 28, 19, 26, 330, 411, 17141, 1661, 7743, 2222, 1254, 22790, 16, 188, 20, 24, 28, 22, 21, 21360, 41661, 50, 4764, 9846, 24499, 16, 188, 20, 24, 28, 23, 25, 7946, 347, 9452, 3789, 1122, 1384, 6075, 59, 15889, 449, 188, 20, 25, 28, 22, 24, 20617, 44349, 2909, 18800, 16, 0, 2433, 626, 18335, 1269, 3335, 33, 31117, 327, 476, 321, 7002, 2362, 10762, 407, 3655, 14, 9892, 274, 615, 7716, 13636, 33, 1395, 1038, 457, 86, 872, 282, 4149, 282, 1427, 2728, 3124, 390, 4549, 282, 1074, 561, 16, 188, 2300, 3696, 16, 374, 27, 14, 248, 4311, 5150, 18335, 3170, 1091, 769, 47219, 14908, 666, 10835, 510, 36513, 6419, 27472, 407, 254, 22051, 267, 18335, 2485, 3779, 19692, 1106, 6870, 383, 376, 1091, 3144, 282, 7184, 9939, 457, 85, 13416, 16, 188, 510, 8820, 2949, 311, 628, 274, 32095, 31308, 457, 85, 19530, 7760, 338, 25, 4726, 6156, 14699, 706, 16678, 14550, 16, 3996, 769, 47219, 14908, 666, 311, 328, 254, 3798, 324, 580, 1362, 756, 14, 254, 2485, 587, 3351, 276, 36221, 324, 1241, 3498, 282, 2507, 28515, 343, 7184, 9939, 3371, 348, 963, 348, 3371, 387, 254, 13656, 262, 29664, 1427, 679, 398, 4580, 16, 188, 510, 913, 14, 533, 587, 321, 254, 2485, 457, 85, 801, 2949, 276, 254, 1928, 2016, 14, 23972, 10727, 14, 3327, 14, 18335, 286, 5150, 1416, 14, 960, 1116, 12360, 4605, 327, 2706, 248, 13753, 37394, 14145, 16, 380, 40021, 6457, 25050, 14, 286, 254, 2949, 14, 533, 2701, 889, 274, 19948, 1476, 14, 40824, 273, 5445, 286, 254, 16437, 274, 4960, 14, 311, 5864, 282, 321, 7361, 12140, 2362, 10762, 16, 188, 36, 363, 2139, 3297, 2367, 328, 9487, 769, 47219, 14908, 666, 282, 7184, 9939, 4182, 436, 802, 14, 841, 701, 19057, 282, 22051, 348, 248, 19099, 20858, 5734, 529, 16, 53, 16, 23776, 387, 254, 36979, 248, 6753, 15913, 14, 254, 6081, 5060, 9339, 14235, 15913, 276, 254, 1499, 16, 2640, 254, 20870, 17458, 274, 769, 47219, 14908, 1756, 3499, 322, 569, 24471, 250, 286, 1201, 1984, 81, 4771, 2267, 14, 39815, 2139, 9107, 254, 3779, 19692, 1106, 6870, 383, 376, 2949, 286, 4044, 4457, 16, 188, 1934, 11073, 254, 1922, 3015, 276, 254, 2949, 14, 39815, 2139, 555, 47597, 343, 26996, 8784, 5461, 3867, 286, 11677, 67, 12705, 336, 14, 248, 32095, 31308, 5833, 327, 2893, 282, 8367, 12408, 15, 7671, 14235, 286, 4326, 16, 188, 510, 2949, 286, 4044, 4457, 403, 4376, 407, 254, 12405, 457, 85, 19099, 6625, 274, 3840, 14, 254, 7184, 9939, 7258, 274, 254, 8980, 493, 14, 254, 6640, 274, 17131, 286, 3430, 14291, 14699, 14, 254, 4580, 274, 19099, 14, 254, 6640, 274, 14699, 286, 13050, 286, 254, 1922, 3015, 16, 188, 54, 25323, 403, 370, 26, 324, 7544, 286, 370, 22, 324, 2086, 338, 20, 286, 758, 286, 403, 2066, 3783, 939, 11516, 325, 22540, 14, 390, 407, 6607, 495, 21, 24, 15, 21, 21, 22, 15, 22, 21, 27, 20, 390, 495, 21, 24, 15, 20, 25, 20, 15, 18, 19, 24, 18, 16, 9175, 561, 248, 3379, 24230, 274, 254, 2949, 1045, 16, 0, 7658, 5243, 9763, 418, 3988, 26340, 670, 368, 872, 3184, 24008, 26340, 3134, 276, 13996, 351, 14293, 14, 25687, 16, 1583, 2563, 843, 963, 368, 10077, 14, 387, 2008, 368, 811, 872, 248, 24008, 26340, 14, 286, 343, 772, 4602, 274, 29331, 9804, 6134, 407, 14, 368, 476, 10443, 328, 5243, 9763, 418, 3988, 26340, 282, 751, 254, 2545, 2152, 8876, 14, 286, 387, 248, 2210, 368, 476, 7642, 16, 496, 13996, 351, 14293, 14, 25687, 14, 603, 368, 452, 272, 12100, 872, 324, 248, 24008, 26340, 14, 1052, 441, 977, 1919, 387, 848, 18, 18, 15, 21, 18, 24, 15, 20, 22, 25, 25, 16, 188, 9334, 1594, 2875, 14, 747, 21407, 633, 9882, 276, 254, 1096, 14, 476, 4689, 597, 633, 2560, 1362, 641, 2563, 843, 963, 368, 10077, 324, 1464, 457, 85, 1612, 1628, 7613, 16, 5243, 9763, 418, 3988, 26340, 587, 5846, 1789, 324, 368, 343, 811, 248, 2875, 4341, 1052, 16, 1822, 274, 772, 24008, 26340, 3134, 403, 328, 1116, 324, 368, 14, 282, 1336, 368, 751, 888, 328, 3425, 841, 1464, 14148, 368, 276, 633, 11106, 16, 188, 1368, 1503, 452, 811, 12277, 633, 9882, 276, 248, 3396, 1096, 2049, 343, 248, 888, 35072, 2057, 274, 590, 759, 2201, 14, 390, 4895, 368, 872, 743, 24008, 328, 633, 13996, 351, 14293, 14, 25687, 2342, 390, 1619, 274, 2072, 16, 1395, 476, 3356, 328, 248, 19207, 2306, 432, 5243, 9763, 418, 3988, 26340, 14, 593, 633, 3265, 587, 751, 5751, 14, 5537, 2497, 387, 248, 5118, 4236, 16, 3699, 7528, 2497, 311, 2075, 360, 457, 251, 248, 963, 15, 4165, 1390, 324, 254, 13996, 351, 14293, 2104, 14, 286, 944, 274, 14345, 16, 188, 6906, 9763, 418, 3988, 26340, 311, 6134, 407, 282, 5587, 368, 14, 9892, 274, 748, 5900, 274, 24008, 26340, 2497, 368, 872, 324, 633, 13996, 351, 14293, 2342, 14, 2072, 14, 390, 6574, 16, 839, 457, 619, 751, 254, 2545, 2152, 324, 368, 4400, 14, 343, 772, 11835, 1396, 678, 72, 24008, 26340, 85, 663, 587, 1354, 633, 1052, 286, 2859, 633, 3138, 1840, 16, 2028, 353, 3144, 282, 6311, 24008, 26340, 3134, 14, 626, 311, 641, 872, 282, 997, 9564, 1952 ]

[ 1, 6682, 274, 4043, 1579, 14, 532, 403, 4196, 1515, 456, 2602, 3427, 276, 7760, 3358, 1918, 628, 15496, 16, 380, 2660, 555, 4448, 343, 272, 4868, 274, 7093, 12007, 14, 20790, 1321, 343, 248, 9411, 10256, 14000, 14, 286, 13079, 78, 504, 343, 248, 2006, 4612, 4865, 8745, 16, 380, 13879, 403, 4448, 276, 248, 8892, 257, 4242, 2471, 327, 311, 16373, 286, 10335, 25018, 2280, 282, 321, 248, 13715, 274, 1499, 7847, 12471, 286, 272, 3858, 274, 254, 9607, 286, 14650, 3377, 785, 324, 327, 898, 16, 4829, 1213, 327, 311, 4524, 758, 254, 6013, 274, 15596, 254, 712, 1503, 321, 14, 286, 10, 576, 11, 2023, 254, 11755, 2575, 274, 3686, 18055, 10, 390, 3686, 46531, 274, 1316, 11, 687, 254, 40058, 274, 248, 3056, 11405, 16, 188, 2432, 1041, 641, 5011, 21089, 4457, 835, 16, 310, 452, 299, 2259, 525, 594, 3768, 2075, 310, 8669, 16439, 16, 310, 3646, 11042, 4679, 14, 417, 758, 38069, 748, 310, 15065, 28281, 16, 1223, 369, 13568, 9441, 785, 327, 2660, 324, 1585, 13247, 15690, 15, 1139, 14, 310, 963, 4025, 353, 324, 4128, 16, 188, 1212, 852, 374, 18, 19, 23, 22482, 900, 432, 338, 18, 4190, 11128, 2362, 254, 1928, 2016, 282, 321, 772, 3284, 16, 3699, 2237, 403, 327, 36716, 85, 9604, 328, 3520, 286, 5079, 328, 7899, 10, 7292, 37953, 11, 403, 3564, 19411, 15, 5153, 19973, 1129, 5692, 16354, 2456, 16, 1993, 4719, 403, 254, 3117, 2072, 407, 16730, 2912, 328, 254, 15392, 274, 25294, 20027, 1525, 254, 416, 45080, 712, 2863, 286, 2367, 248, 624, 1689, 2560, 282, 338, 23, 8912, 20, 19, 22, 934, 924, 276, 8062, 343, 254, 4181, 19236, 10089, 16, 2488, 2371, 6490, 16, 188, 11226, 2595, 32090, 282, 1949, 4750, 4349, 740, 12292, 14, 2997, 3632, 14, 15897, 414, 28, 37115, 16219, 721, 274, 3479, 262, 7475, 2966, 16, 839, 961, 327, 626, 311, 8458, 26742, 2025, 276, 254, 4980, 10420, 41845, 3102, 286, 615, 4708, 2738, 12848, 327, 4343, 440, 88, 5881, 4068, 602, 16, 20928, 610, 48, 10373, 39617, 23673, 286, 3577, 24171, 328, 633, 1034, 2251, 16, 2417, 8815, 282, 14854, 15237, 22759, 343, 610, 48, 10373, 8870, 16, 310, 403, 618, 19381, 2153, 16, 310, 369, 1143, 2552, 407, 22539, 2391, 785, 387, 254, 11679, 50, 693, 273, 327, 310, 10655, 852, 254, 5675, 274, 8716, 274, 618, 19413, 4190, 11128, 16, 310, 497, 603, 436, 852, 25927, 16, 37478, 2350, 4859, 26416, 327, 345, 37196, 1748, 13364, 282, 14334, 10187, 3, 1583, 580, 476, 1074, 248, 7757, 16339, 16, 310, 403, 32056, 2102, 963, 343, 248, 21871, 417, 16, 1223, 310, 452, 14007, 2902, 512, 618, 10089, 713, 10654, 324, 248, 2211, 343, 248, 3225, 9705, 16, 7960, 23735, 28, 3171, 29, 1223, 327, 22136, 368, 286, 11500, 286, 20498, 42686, 16, 188, 5897, 7032, 2865, 13979, 4349, 740, 12292, 14, 2997, 3632, 14, 15897, 414, 28, 328, 687, 338, 20, 2945, 743, 1926, 4605, 14, 533, 555, 1102, 343, 443, 1779, 3307, 6730, 254, 2056, 1735, 286, 2110, 5540, 274, 338, 14, 24, 24, 24, 4541, 34940, 2254, 276, 5687, 869, 338, 27, 27, 23, 286, 374, 18, 19, 22, 16, 3699, 7120, 6705, 7659, 11332, 328, 687, 338, 20, 2945, 1985, 15689, 3733, 35237, 5443, 33499, 85, 14, 533, 311, 7917, 343, 443, 1779, 12916, 29522, 2113, 254, 11763, 671, 286, 1307, 275, 9744, 9633, 274, 338, 14, 24, 24, 24, 8641, 38683, 5514, 276, 5687, 869, 338, 27, 27, 23, 286, 374, 18, 19, 22, 16, 3177, 46410, 684, 20088, 5315, 25945, 684, 2320, 14, 684, 1499, 46410, 684, 5879, 452, 8022, 2177, 3546, 4052, 19719, 4626, 416, 36786, 13399, 315, 33, 13724, 25945, 684, 1689, 46410, 684, 5879, 452, 8117, 2873, 22809, 14, 390, 23417, 282, 556, 4919, 14, 26416, 3183, 4996, 6462, 6275, 348, 20014, 45980, 5085, 286, 40880, 5322, 3402, 33, 1268, 254, 2110, 4105, 1354, 756, 33334, 1525, 254, 3316, 286, 27961, 1789, 274, 39963, 4349, 740, 12292, 14, 2997, 3632, 14, 15897, 414, 28, 37115, 29, 286, 626, 10047, 641, 1428, 12580, 282, 321, 327, 254, 3277, 387, 254, 4566, 274, 533, 596, 2793, 1062, 1143, 10175, 348, 390, 276, 743, 3358, 11328, 713, 254, 842, 491, 286, 45747, 7389, 21476, 972, 14, 4679, 7541, 282, 321, 248, 39657, 898, 16, 496, 254, 2013, 2211, 14, 830, 254, 1914, 274, 1735, 687, 279, 3613, 15, 10353, 382, 311, 1012, 254, 7922, 25082, 5246, 14, 360, 835, 1074, 248, 26479, 21694, 274, 254, 7109, 274, 6789, 14, 348, 46484, 348, 1427, 11795, 14, 11204, 869, 254, 801, 286, 3506, 8227, 274, 323, 16, 380, 763, 8534, 85, 274, 1427, 11795, 20249, 9023, 1022, 14, 403, 869, 848, 18, 18, 286, 890, 18, 18, 3778, 276, 7596, 14, 343, 248, 8760, 276, 688, 47909, 274, 31511, 9529, 14, 286, 596, 12300, 28528, 417, 593, 348, 254, 548, 9744, 2114, 274, 3335, 16, 1547, 403, 14, 40839, 14, 248, 642, 16354, 324, 254, 1619, 274, 248, 9848, 17040, 2575, 14, 286, 254, 2035, 274, 436, 14287, 255, 311, 2961, 407, 10256, 274, 27001, 568, 14, 580, 4150, 286, 5982, 11132, 274, 533, 403, 8135, 1218, 14, 688, 274, 729, 4569, 254, 4865, 274, 1090, 16, 496, 436, 254, 4893, 14299, 274, 1427, 11795, 276, 254, 3555, 1162, 274, 7164, 16035, 25201, 452, 343, 6250, 47909, 16, 188, 510, 6879, 8117, 368, 1102, 27657, 9991, 248, 2328, 30803, 274, 655, 5506, 3649, 4751, 4727, 2083, 28, 26864, 15590, 297, 13973, 286, 36294, 43688, 374, 18, 19, 25, 328, 772, 16373, 16, 380, 15682, 30551, 367, 25211, 4340, 11880, 13344, 14, 852, 1205, 254, 6879, 20253, 1102, 19859, 633, 2545, 16, 7560, 1074, 441, 603, 368, 6100, 436, 311, 248, 1926, 16, 1395, 2793, 300, 3199, 30165, 12859, 7599, 15396, 28, 330, 367, 25211, 15946, 282, 20230, 322, 1036, 10061, 374, 18, 18, 23, 7659, 2674, 11751, 366, 3, 5243, 8745, 1032, 11208, 247, 9361, 28, 254, 1464, 573, 248, 16606, 327, 436, 1874, 807, 9340, 452, 16, 1395, 684, 307, 272, 1899, 274, 31935, 434, 22135, 5266, 390, 8752, 555, 643, 742, 16, 321, 254, 6151, 22135, 669, 16, 5085, 274, 22189, 475, 15 ]

[ 1, 1510, 8521, 7277, 9049, 10, 19644, 2192, 3451, 11916, 662, 1441, 417, 1438, 282, 2374, 324, 24145, 14, 532, 360, 933, 2374, 282, 1041, 3451, 2056, 327, 353, 555, 254, 3338, 2983, 31311, 3451, 324, 1308, 2327, 276, 15205, 13029, 37339, 20959, 985, 347, 13029, 3685, 20959, 985, 347, 13029, 38, 16934, 20959, 4, 5064, 5292, 1574, 28, 7959, 751, 9321, 10, 19644, 14, 1308, 2327, 11, 5292, 3584, 28, 2962, 7959, 6975, 15121, 2883, 5173, 14, 347, 510, 956, 347, 558, 16002, 24051, 2360, 870, 24051, 1554, 870, 558, 347, 311, 5651, 248, 347, 558, 1308, 2327, 558, 347, 1308, 4, 3451, 791, 8335, 6116, 10504, 16, 9436, 10, 19644, 11, 17221, 17221, 191, 188, 1510, 751, 7658, 2689, 10, 5097, 2192, 3451, 1800, 2440, 4699, 441, 254, 3544, 274, 254, 26400, 286, 587, 785, 3451, 1800, 250, 15118, 9258, 338, 16, 23, 16, 20, 286, 3564, 314, 8853, 403, 1755, 3451, 1800, 1540, 4832, 276, 374, 16, 19, 3451, 1574, 28, 5292, 6975, 401, 639, 5173, 1551, 2440, 311, 14799, 2719, 3451, 3584, 19000, 14, 300, 28, 5292, 1800, 784, 254, 1615, 10360, 3544, 5292, 270, 426, 11555, 16, 35305, 65, 5216, 41441, 20, 1534, 24370, 65, 6129, 3451, 1800, 2118, 888, 348, 1125, 1052, 15, 26451, 348, 369, 7414, 3451, 1205, 1245, 9855, 470, 28, 287, 5292, 270, 426, 270, 16, 72, 65, 2071, 5292, 1245, 426, 1245, 15, 19, 3451, 1800, 339, 626, 311, 248, 1827, 4629, 276, 254, 26400, 434, 1922, 12598, 835, 3451, 1800, 662, 1782, 1041, 254, 9128, 327, 254, 26400, 311, 248, 956, 1308, 3451, 10644, 426, 270, 16, 72, 65, 9200, 924, 16, 784, 1551, 1262, 985, 8037, 11, 3451, 1142, 2327, 426, 270, 16, 72, 65, 3107, 16, 1884, 65, 1554, 3451, 603, 10644, 28, 5292, 1052, 10018, 426, 10644, 24051, 2360, 870, 24051, 1554, 870, 13, 1356, 4983, 13, 72, 16, 72, 65, 3107, 16, 1884, 65, 1554, 32018, 314, 1259, 29922, 1320, 10, 72, 16, 72, 65, 3522, 15414, 8516, 2719, 4, 3451, 1952, 28, 5292, 1052, 10018, 426, 270, 16, 72, 65, 3107, 16, 1884, 65, 1554, 32018, 314, 1259, 29922, 1320, 10, 72, 16, 72, 65, 3522, 15414, 8516, 2719, 4, 287, 3451, 1076, 1052, 10018, 287, 17221, 191, 188, 5, 12802, 436, 3808, 282, 512, 38544, 274, 6096, 7955, 191, 188, 1510, 6096, 20959, 9417, 8626, 2192, 3451, 6096, 10018, 426, 2787, 16, 13575, 10, 4113, 10, 1320, 14, 12702, 581, 347, 35280, 3451, 324, 16002, 276, 791, 8335, 6116, 10504, 28, 5292, 16002, 16, 13029, 37339, 20959, 10, 8179, 10018, 11, 4737, 188, 5, 12802, 436, 3808, 282, 512, 38544, 274, 2160, 7955, 191, 188, 1510, 1455, 20959, 9417, 8626, 2192, 3451, 1455, 10018, 426, 347, 4608, 276, 29922, 784, 7658, 2689, 10, 19, 8516, 4, 1146, 29922, 2617, 16, 13575, 10, 4113, 10, 1320, 14, 12702, 581, 347, 35280, 3451, 324, 16002, 276, 791, 8335, 6116, 10504, 28, 5292, 16002, 16, 13029, 3685, 20959, 10, 990, 10018, 11, 4737, 188, 5, 12802, 436, 3808, 282, 512, 38544, 274, 13469, 7955, 191, 188, 1510, 13689, 73, 20959, 9417, 8626, 2192, 3451, 603, 417, 13469, 28, 5292, 1076, 3451, 1455, 10018, 426, 751, 7658, 2689, 10, 19, 8516, 4, 1146, 29922, 2617, 16, 13575, 10, 4113, 10, 1320, 14, 12702, 581, 347, 35280, 3451, 324, 16002, 276, 791, 8335, 6116, 10504, 28, 5292, 16002, 16, 13029, 38, 16934, 20959, 10, 990, 10018, 11, 4737, 188, 1510, 30254, 9417, 8626, 2192, 3451, 1800, 13689, 73, 20959, 9417, 8626, 11, 3451, 603, 417, 13469, 28, 5292, 1076, 3451, 1455, 10018, 426, 751, 7658, 2689, 10, 19, 8516, 4, 1146, 29922, 2617, 16, 13575, 10, 4113, 10, 1320, 14, 12702, 581, 347, 35280, 3451, 324, 16002, 276, 791, 8335, 6116, 10504, 28, 5292, 16002, 16, 13029, 38, 16934, 20959, 10, 990, 10018, 11, 32023, 191, 188, 15464, 7277, 9049, 10, 6799, 7277, 9049, 6472, 191, 188, 5, 423, 274, 28849, 16, 4640, 4737, 188, 5, 2484, 16, 4640, 191, 188, 5, 1532, 311, 248, 2875, 889, 1068, 324, 254, 1788, 6161, 191, 188, 5, 432, 28849, 1369, 6096, 20959, 14, 13689, 73, 20959, 14, 1455, 20959, 14, 867, 13769, 3280, 4737, 188, 5, 867, 13769, 3280, 10, 18, 11, 4737, 188, 5, 13689, 73, 20959, 1551, 2440, 1856, 625, 321, 11154, 2719, 191, 188, 5, 6096, 20959, 1551, 2770, 436, 587, 2719, 4737, 188, 5, 867, 13769, 3280, 10, 19, 11, 4737, 188, 5, 804, 16885, 14439, 3451, 1800, 13689, 73, 20959, 1551, 2440, 311, 248, 13469, 3808, 276, 985, 347, 11783, 2719, 17221, 191, 188, 5, 956, 2453, 28, 3451, 1800, 804, 271, 1345, 10, 1262, 2192, 5292, 1800, 1455, 20959, 1551, 2440, 311, 272, 2160, 3808, 276, 2453, 2719, 4737, 188, 5, 16885, 1067, 191, 188, 5, 271, 426, 2453, 1067, 191, 188, 5, 271, 16, 30798, 1067, 191, 188, 5, 1800, 423, 274, 1056, 16, 4640, 4737, 188, 5, 3340, 311, 1146, 191, 188, 5, 532, 436, 587, 191, 188, 5, 16885, 314, 1259, 338, 20, 11, 1146, 436, 311, 248, 13469, 3808, 276, 16885, 191, 188, 5, 11441, 276, 2453, 1420, 30798, 314, 1259, 338, 24, 11, 1146, 436, 311, 272, 2160, 3808, 276, 2453, 4118, 191, 188, 5, 19668, 980, 274, 3817, 1333, 3107, 16, 18890, 383, 366, 16, 679, 17, 19396, 266, 17, 19, 22, 22, 26, 21, 26, 17, 210, 5922, 2305, 0, 3933, 40113, 16, 6271, 16, 6262, 373, 312, 733, 1369, 7893, 188, 3933, 40113, 16, 5310, 1369, 3106, 188, 3933, 40113, 16, 5310, 16, 18730, 16, 8945, 924, 1369, 637, 65, 14837, 188, 3933, 40113, 16, 32983, 1369, 11145, 188, 3933, 40113, 16, 8324, 16, 6799, 39675, 1369, 42281, 1392, 14, 2787, 7910, 188, 2855, 1579, 3374, 188, 2855, 295, 188, 3933, 47033, 22, 1369, 33432, 53, 1000, 534, 188, 2360, 17247, 10, 18730, 16, 6917, 2192, 477, 1390, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 23, 18, 14, 4311, 31, 4937, 11, 477, 42281, 426, 3106, 16, 10336, 809, 6009, 10, 3958, 65, 3857, 31, 23, 18, 14, 4311, 31, 4937, 11, 1465, 804, 4623, 1320, 21257, 1262, 2192, 647, 1076, 1827, 16, 1554, 534, 188, 2360 ]

[ 1, 436, 769, 36711, 282, 2445, 954, 954, 954, 286, 3989, 372, 21210, 2546, 1756, 331, 25688, 362, 16, 22730, 10877, 2877, 14, 607, 24, 21, 529, 16, 323, 16, 42317, 21269, 314, 20, 18, 19, 19, 11, 314, 3323, 531, 1104, 896, 387, 890, 11, 314, 11265, 24415, 10597, 10749, 481, 16630, 311, 3469, 16, 188, 6235, 14, 254, 24343, 6635, 2828, 327, 254, 17846, 6241, 2048, 573, 9464, 3000, 4220, 14326, 282, 33044, 254, 7767, 274, 18064, 9307, 8756, 25845, 14, 286, 327, 254, 15890, 573, 4104, 282, 5122, 254, 5759, 274, 9307, 8756, 25845, 4317, 248, 5118, 5382, 16, 380, 24343, 6635, 30002, 327, 14, 387, 254, 671, 33044, 7527, 520, 19059, 14, 254, 17119, 274, 254, 7767, 274, 4591, 328, 9307, 8756, 25845, 369, 17376, 407, 254, 17846, 6241, 2048, 457, 85, 2964, 276, 11109, 362, 16, 15890, 14, 719, 18, 25, 323, 16, 411, 16, 374, 70, 890, 25, 14, 338, 18, 26, 314, 19, 27, 26, 18, 581, 533, 4694, 254, 7767, 274, 9350, 1885, 328, 254, 3152, 14, 532, 1628, 254, 3480, 15, 1798, 274, 18064, 254, 5759, 274, 9307, 8756, 25845, 343, 254, 15890, 276, 1093, 2153, 276, 533, 254, 3152, 573, 5447, 1885, 4073, 282, 6975, 248, 5118, 5382, 328, 254, 2443, 16, 4644, 282, 254, 24343, 6635, 14, 2228, 14, 254, 17846, 6241, 2048, 28093, 432, 327, 4541, 276, 33044, 457, 1068, 286, 4694, 254, 7767, 274, 18064, 9307, 8756, 25845, 769, 291, 602, 315, 328, 254, 3152, 1756, 719, 23, 19, 401, 16, 495, 70, 14, 387, 607, 18, 18, 16, 188, 510, 24343, 6635, 457, 85, 7705, 311, 4376, 407, 2110, 7589, 274, 254, 17846, 6241, 2048, 457, 85, 4596, 276, 33044, 457, 1068, 16, 1180, 1610, 14, 254, 1350, 1278, 4709, 327, 33044, 573, 769, 14651, 61, 265, 63, 9220, 1885, 666, 274, 520, 9307, 8756, 25845, 14, 2486, 254, 1278, 10661, 520, 31389, 15, 1153, 15, 779, 15, 21742, 1703, 407, 4419, 254, 1885, 345, 573, 3443, 769, 13719, 432, 15948, 1756, 2499, 683, 407, 14440, 327, 353, 4104, 282, 6975, 248, 5118, 5382, 16, 33044, 14, 813, 18, 27, 323, 16, 411, 16, 374, 70, 14, 387, 576, 20, 18, 1230, 22, 20, 19, 16, 380, 1350, 1278, 669, 2458, 327, 353, 573, 3970, 30493, 276, 5919, 1318, 362, 16, 1158, 15, 1097, 13524, 14, 719, 27, 22, 323, 16, 411, 16, 374, 70, 719, 27, 24, 314, 19, 27, 26, 23, 581, 327, 769, 5217, 565, 274, 9307, 8756, 25845, 311, 417, 272, 3179, 274, 254, 6442, 274, 7498, 533, 254, 15890, 1339, 2361, 37145, 1221, 5122, 1397, 33044, 14, 9008, 14, 387, 576, 20, 19, 16, 496, 254, 24343, 6635, 457, 85, 1806, 14, 254, 17846, 6241, 2048, 457, 85, 21421, 328, 436, 5919, 1318, 15454, 274, 9307, 8756, 25845, 276, 29351, 33044, 457, 4408, 13218, 254, 12227, 12293, 25494, 14, 348, 20685, 407, 436, 2048, 276, 20799, 466, 362, 16, 3124, 274, 12394, 14, 495, 25, 26, 529, 16, 323, 16, 495, 22, 25, 14, 495, 23, 22, 314, 19, 27, 24, 22, 11, 1140, 974, 353, 3103, 254, 13393, 4367, 2809, 274, 272, 769, 2714, 329, 8890, 286, 22823, 34094, 457, 17841, 12043, 17988, 274, 254, 17846, 7498, 6468, 16, 188, 510, 24343, 6635, 457, 85, 4596, 669, 7674, 254, 6280, 327, 254, 1885, 4376, 248, 4419, 274, 641, 9307, 8756, 25845, 16, 839, 452, 749, 327, 769, 263, 311, 254, 8075, 274, 254, 4833, 1111, 1410, 254, 1278, 1111, 927, 7415, 748, 11496, 933, 321, 8171, 432, 1885, 7962, 387, 2260, 1756, 19533, 1345, 375, 362, 16, 6041, 14, 607, 24, 23, 529, 16, 323, 16, 338, 1140, 21269, 314, 20, 18, 19, 19, 11, 314, 468, 41509, 11, 314, 3323, 531, 1104, 896, 387, 338, 481, 380, 1885, 311, 4073, 282, 1305, 248, 9358, 10510, 14, 769, 6266, 14256, 254, 1885, 276, 254, 1665, 944, 13481, 282, 254, 13695, 14, 665, 8642, 40805, 274, 948, 807, 452, 1102, 254, 5503, 3483, 274, 254, 6442, 4317, 248, 5118, 5382, 1397, 9596, 362, 16, 9137, 14, 576, 22, 21, 529, 16, 323, 16, 495, 18, 25, 14, 495, 19, 27, 314, 19, 27, 25, 27, 11, 954, 1223, 248, 1350, 15, 13181, 2964, 32695, 248, 31389, 5527, 774, 417, 321, 44127, 328, 4260, 23112, 5569, 254, 769, 32411, 369, 2714, 5912, 1221, 20084, 8792, 17841, 19533, 1345, 375, 14, 9008, 14, 387, 21269, 314, 3323, 531, 1104, 896, 387, 338, 481, 188, 686, 1665, 274, 436, 6832, 15, 614, 21210, 2546, 14, 353, 311, 7532, 5785, 2508, 327, 254, 17846, 6241, 2048, 457, 85, 17714, 274, 33044, 457, 31389, 1703, 311, 10654, 276, 436, 4260, 23112, 11832, 16, 380, 24343, 6635, 4728, 327, 3093, 16, 771, 308, 47071, 4329, 272, 4596, 327, 33044, 369, 758, 254, 4683, 274, 9307, 8756, 25845, 387, 254, 671, 274, 254, 28747, 14, 286, 852, 417, 18469, 432, 327, 4596, 328, 2743, 15, 26256, 16, 1268, 626, 369, 24096, 1885, 13091, 276, 254, 642, 3758, 348, 963, 16, 1260, 254, 17846, 6241, 2048, 2458, 14, 33044, 457, 1703, 274, 9307, 798, 81, 15, 247, 1557, 25845, 369, 1095, 726, 407, 769, 779, 5819, 274, 254, 6442, 1756, 813, 18, 27, 323, 16, 411, 16, 374, 70, 14, 387, 576, 20, 19, 1111, 10117, 254, 5281, 327, 345, 28517, 2501, 282, 7274, 254, 7498, 10213, 254, 1362, 274, 254, 28747, 14, 327, 345, 12946, 2006, 2942, 841, 10982, 254, 5490, 1063, 4832, 324, 520, 4335, 457, 85, 1683, 14, 286, 327, 345, 13077, 2006, 2942, 869, 9349, 520, 3002, 15, 250, 15, 6751, 286, 9550, 520, 4335, 16, 380, 1703, 369, 669, 1095, 726, 407, 520, 3753, 841, 254, 28747, 14, 1648, 520, 16139, 28092, 63, 4867, 282, 10233, 254, 5490, 286, 3944, 520, 9749, 1756, 286, 1938, 769, 73, 400, 61, 273, 63, 248, 3117, 3782, 282, 254, 3398, 1397, 19553, 16, 380, 24343, 6635, 40558, 436, 1885, 974, 3093, 16, 771, 308, 47071, 7652, 327, 33044, 457, 12124, 46427, 286, 13715, 274, 43632, 497, 417, 16245, 343, 254, 5950, 274, 9307, 8756, 25845, 16, 719, 23, 19, 401, 16, 495, 70, 896, 387, 607, 18, 22, 14, 296, 16 ]

[ 1, 35182, 869, 368, 286, 254, 2497, 11399, 16, 380, 4205, 1339, 2408, 254, 4139, 274, 5740, 3134, 14, 7068, 590, 3134, 14, 4139, 274, 512, 9104, 274, 7068, 1648, 10203, 14, 3134, 7068, 14, 12762, 10203, 14, 17424, 7068, 14, 286, 2626, 327, 368, 452, 282, 2014, 16, 188, 6690, 403, 248, 1603, 2875, 11861, 286, 24061, 327, 476, 1041, 633, 3083, 274, 5537, 5337, 733, 286, 3465, 398, 3364, 286, 1637, 671, 3089, 16, 731, 311, 248, 3109, 15, 1578, 15, 10263, 2660, 327, 368, 476, 889, 282, 1074, 248, 44936, 286, 7363, 4735, 2485, 276, 254, 2758, 16, 188, 1212, 19977, 10871, 327, 15195, 3465, 398, 286, 5337, 733, 452, 615, 1193, 867, 274, 2349, 286, 1580, 593, 1063, 15002, 248, 2379, 24415, 360, 650, 1754, 6211, 282, 563, 939, 9132, 286, 6987, 282, 3570, 665, 39084, 16, 5650, 274, 254, 41275, 3465, 398, 286, 5337, 733, 2101, 12881, 555, 615, 1193, 867, 274, 1564, 593, 4356, 2482, 4221, 615, 6987, 6111, 1063, 15002, 328, 4205, 16, 188, 43, 872, 282, 2055, 16601, 14, 476, 368, 1336, 33, 188, 42208, 368, 452, 1869, 248, 977, 1162, 286, 324, 44442, 274, 633, 16601, 360, 452, 1640, 3465, 398, 286, 5337, 733, 328, 254, 1581, 663, 807, 3831, 368, 1640, 1841, 44442, 2497, 16, 188, 2275, 933, 360, 865, 368, 403, 12881, 33, 188, 3431, 23553, 3465, 398, 286, 5337, 733, 452, 867, 615, 3780, 387, 1726, 29852, 14, 368, 807, 1663, 665, 671, 282, 2374, 1789, 286, 321, 5618, 668, 615, 12733, 16, 188, 2433, 353, 248, 2194, 2417, 1903, 2497, 33, 188, 4234, 353, 311, 772, 41275, 3465, 398, 286, 5337, 733, 5961, 368, 2194, 2417, 1903, 2497, 9564, 1444, 276, 14456, 38677, 286, 324, 665, 47311, 1774, 596, 452, 248, 8111, 274, 10575, 274, 3790, 282, 1041, 368, 1002, 16, 188, 43, 872, 31012, 44442, 2497, 282, 2055, 618, 2342, 14, 476, 368, 1336, 479, 33, 188, 42208, 14, 368, 807, 5053, 432, 31012, 286, 5537, 867, 274, 3134, 11868, 327, 626, 311, 248, 1581, 274, 5537, 3465, 398, 286, 5337, 733, 324, 368, 16, 188, 43, 452, 248, 4304, 274, 17460, 343, 479, 29, 883, 5565, 282, 770, 23679, 353, 11476, 33, 188, 5897, 41275, 3465, 398, 286, 5337, 733, 452, 4304, 15066, 282, 5166, 633, 3629, 432, 665, 4577, 14, 593, 368, 807, 811, 7712, 286, 1862, 248, 1052, 324, 44442, 2497, 16, 188, 4816, 513, 368, 889, 10408, 1008, 7161, 398, 33, 188, 23254, 273, 1897, 14, 772, 2497, 11645, 5103, 282, 889, 254, 1057, 282, 29144, 9961, 286, 254, 1057, 650, 1336, 282, 4132, 286, 1619, 1789, 2474, 282, 695, 2245, 16, 188, 8234, 360, 403, 17751, 286, 17190, 3465, 398, 286, 5337, 733, 403, 39949, 1024, 1873, 16, 188, 1212, 2023, 41803, 286, 5118, 41580, 286, 6770, 733, 14456, 38677, 3134, 282, 772, 7528, 282, 5053, 29034, 41580, 286, 6770, 733, 276, 14456, 38677, 286, 669, 476, 7085, 615, 4009, 390, 7068, 324, 665, 1479, 274, 4735, 3134, 276, 14456, 38677, 16, 1800, 27793, 398, 1843, 47, 11904, 30874, 38677, 14, 1395, 587, 751, 4688, 282, 452, 1903, 18550, 282, 5166, 2501, 286, 671, 348, 963, 1196, 6713, 398, 65, 5591, 38677, 16, 3699, 1922, 6770, 733, 286, 41580, 276, 14456, 38677, 587, 513, 512, 785, 4850, 3867, 4798, 14, 7258, 1572, 12201, 9241, 747, 367, 10609, 286, 906, 6713, 273, 14, 31593, 286, 906, 22604, 3838, 16, 1395, 774, 669, 2374, 14167, 1800, 27793, 398, 1843, 47, 11904, 250, 30874, 38677, 9856, 324, 633, 12852, 16, 1395, 774, 1052, 387, 558, 27, 19, 15, 27, 23, 26, 20, 18, 19, 18, 21, 25, 21, 282, 1905, 7446, 3172, 4638, 16, 0, 686, 436, 17016, 360, 1354, 272, 9220, 997, 387, 33457, 286, 15388, 18248, 387, 254, 9580, 1252, 3932, 1400, 36357, 14228, 16, 839, 31154, 1285, 254, 4987, 274, 254, 743, 4516, 276, 374, 18, 18, 19, 286, 374, 18, 18, 21, 16, 20626, 18248, 497, 1311, 248, 1794, 7970, 286, 254, 6376, 848, 25, 85, 497, 419, 15841, 8019, 18248, 14, 9567, 274, 2181, 1045, 343, 8555, 274, 33457, 40266, 576, 25, 85, 14, 607, 25, 85, 286, 274, 2211, 719, 24, 85, 16, 188, 9928, 785, 721, 497, 31154, 1648, 6376, 890, 18, 85, 286, 890, 20, 85, 286, 1181, 624, 16, 18235, 568, 11268, 497, 11261, 5245, 4239, 14, 657, 1203, 1275, 1502, 43484, 14, 740, 25015, 286, 2049, 254, 12369, 31836, 324, 688, 3684, 269, 2493, 2181, 432, 33457, 286, 15388, 18248, 16, 839, 915, 9580, 1252, 3932, 1400, 6376, 607, 18, 26, 4934, 286, 3684, 20626, 18248, 512, 31154, 276, 9138, 5603, 33504, 16, 0, 2433, 254, 6287, 2115, 276, 254, 1499, 16, 188, 10477, 2784, 4785, 32253, 276, 12076, 16, 188, 2899, 1143, 254, 5168, 14, 286, 345, 807, 3191, 14, 390, 417, 16, 188, 2686, 3260, 311, 8812, 1045, 14, 5157, 16, 0, 1130, 369, 2287, 276, 254, 4890, 10243, 8872, 2966, 327, 254, 11924, 274, 380, 1502, 43484, 452, 248, 2958, 16893, 7626, 327, 587, 7948, 370, 20, 25, 18, 16, 21, 2945, 4264, 254, 801, 3298, 274, 4987, 14, 533, 1875, 924, 370, 25, 25, 23, 16, 25, 2945, 16, 4644, 282, 254, 3802, 14, 836, 4139, 497, 4799, 276, 10560, 9017, 407, 17786, 18171, 282, 254, 8852, 6284, 282, 14611, 254, 8341, 5048, 3214, 13908, 314, 46, 4726, 11, 869, 254, 2758, 286, 38081, 15, 18462, 1930, 9938, 6170, 16, 2514, 274, 254, 5925, 274, 254, 418, 4726, 369, 327, 38081, 15, 18462, 1930, 9938, 6170, 2961, 282, 452, 248, 5758, 274, 370, 20, 18, 18, 2945, 276, 2958, 16893, 21493, 276, 254, 2133, 457, 85, 801, 3298, 16, 18789, 403, 4574, 3435, 713, 1619, 324, 380, 1502, 43484, 276, 254, 2391, 1722, 16, 330, 14673, 369, 11200, 407, 254, 2048, 274, 9631, 14, 835, 254, 11924, 5968, 1364, 2065, 387, 254, 12699, 41972, 4654, 327, 596, 18074, 282, 2654, 3112, 328, 3298, 580, 23455, 276, 3447, 3793, 286, 248, 4987, 18795, 650, 321, 3435, 282, 254, 1773, 6170, 276, 254, 3435, 3498, 16, 496, 1596, 14, 2474, 282, 20219, 264, 25746, 14894, 274, 657, 16, 46062, 457, 85, 10366, 45546, 6240, 14, 596 ]

[ 1, 510, 39156, 20113, 5044, 324, 12405, 314, 23082, 11, 3290, 3184, 1521, 286, 2289, 15, 15533, 4584, 282, 2784, 2086, 276, 272, 3026, 274, 2314, 286, 1633, 324, 2572, 286, 512, 274, 520, 2086, 16, 380, 331, 7778, 332, 37960, 282, 968, 408, 248, 3177, 274, 15383, 14, 13886, 14, 45281, 14, 286, 40878, 276, 254, 14643, 274, 772, 2086, 16, 188, 510, 331, 7778, 311, 16753, 407, 254, 2341, 274, 3561, 22787, 286, 311, 1493, 813, 28, 21, 18, 248, 16, 79, 16, 282, 607, 28, 21, 18, 269, 16, 79, 896, 40868, 696, 939, 1825, 18782, 16, 12405, 403, 17190, 328, 248, 2057, 15, 2523, 3596, 276, 580, 274, 763, 2289, 15, 5989, 5495, 29, 23249, 2081, 38108, 314, 1114, 338, 15, 21, 1090, 11, 286, 3220, 1611, 8028, 314, 1114, 495, 15, 24, 1090, 481, 330, 610, 6057, 38571, 6529, 1593, 8028, 311, 669, 2449, 276, 254, 39504, 314, 26, 28, 21, 18, 248, 16, 79, 16, 428, 338, 20, 28, 21, 18, 269, 16, 79, 12989, 188, 35, 9107, 2024, 311, 2449, 2474, 282, 2086, 434, 16280, 3095, 16, 12405, 403, 7136, 282, 254, 29088, 14, 19843, 11349, 14, 3778, 14, 9622, 14, 286, 855, 3335, 2835, 4945, 16, 188, 24352, 403, 2066, 282, 2086, 343, 2628, 3095, 276, 8726, 343, 4087, 3126, 434, 1303, 15, 12372, 29783, 3526, 286, 254, 4602, 15, 6816, 4174, 311, 11644, 282, 898, 276, 254, 1824, 28161, 3026, 327, 311, 944, 12557, 324, 254, 1401, 16, 188, 26372, 91, 3297, 2367, 387, 254, 39156, 20113, 5044, 348, 248, 9475, 276, 338, 27, 26, 26, 16, 1469, 555, 248, 9299, 13819, 286, 248, 10436, 434, 276, 10126, 10017, 432, 4087, 3126, 2421, 16, 1469, 3285, 254, 4569, 3925, 6251, 276, 374, 18, 18, 19, 16, 1469, 14131, 9299, 286, 2876, 282, 865, 254, 2086, 286, 5703, 16, 188, 14455, 91, 2956, 2367, 276, 254, 1401, 1521, 8533, 276, 374, 18, 19, 23, 841, 29301, 327, 2086, 403, 616, 1972, 9646, 16, 1469, 3297, 2367, 387, 254, 4569, 3925, 276, 374, 18, 19, 24, 286, 311, 4250, 254, 11983, 23249, 2081, 45196, 16, 188, 48, 1711, 2956, 2367, 387, 254, 4569, 3925, 276, 374, 18, 19, 20, 348, 248, 16048, 9475, 16, 2646, 9169, 276, 272, 13010, 9475, 2472, 14, 46845, 4255, 713, 254, 1450, 43575, 9475, 1844, 276, 374, 18, 19, 23, 16, 46845, 555, 643, 6841, 324, 374, 25, 1090, 286, 555, 763, 2086, 274, 616, 1193, 16, 188, 45, 551, 555, 248, 39269, 434, 276, 33298, 10017, 432, 254, 2421, 274, 26798, 16, 1469, 555, 4168, 343, 2784, 2086, 276, 26798, 14, 14478, 14, 11233, 286, 3561, 22787, 16, 1469, 555, 643, 387, 254, 4569, 3925, 1544, 374, 18, 19, 22, 286, 14131, 2367, 343, 33828, 10504, 974, 596, 403, 17727, 14, 11437, 286, 2057, 274, 2269, 16, 188, 17814, 2125, 3297, 348, 248, 5805, 7969, 387, 254, 4569, 3925, 276, 374, 18, 19, 21, 16, 1469, 20356, 432, 4087, 3126, 276, 374, 18, 19, 25, 343, 248, 4110, 276, 33298, 10017, 16, 2646, 30185, 701, 3297, 2367, 387, 254, 4569, 3925, 20674, 16, 1469, 7583, 282, 4126, 7290, 254, 2086, 2941, 286, 1709, 16, 188, 510, 39156, 20113, 5044, 324, 12405, 311, 4301, 9446, 282, 254, 13416, 387, 3699, 12578, 1494, 434, 23714, 267, 6240, 387, 890, 18, 27, 4117, 495, 21, 5619, 5555, 16, 188, 2148, 1460, 668, 28132, 286, 4009, 14, 4436, 36607, 10111, 11087, 387, 480, 3573, 11087, 34, 2249, 466, 16, 13434, 390, 4341, 28, 719, 18, 23, 16, 20, 25, 22, 16, 22, 25, 18, 19, 16, 0, 1853, 4597, 2117, 35681, 1093, 2537, 2906, 14, 11995, 8461, 1891, 282, 616, 2836, 16, 1547, 573, 12946, 248, 1034, 671, 324, 2966, 16, 1691, 2956, 348, 248, 2875, 29499, 3285, 2314, 16, 1547, 15694, 1034, 4047, 13227, 14, 248, 26831, 1096, 23267, 14, 286, 272, 2674, 12905, 1722, 12866, 16, 11648, 512, 254, 33958, 286, 36191, 274, 615, 2860, 14, 615, 2314, 324, 1004, 642, 1582, 4104, 14, 286, 615, 2860, 756, 8669, 9779, 16, 188, 1368, 807, 915, 353, 276, 254, 1026, 4597, 29367, 432, 2394, 282, 2394, 348, 345, 2950, 520, 27361, 2849, 1051, 254, 36687, 16, 188, 1130, 369, 8713, 670, 35681, 9795, 668, 3148, 596, 573, 6139, 668, 1004, 642, 1285, 615, 12866, 16, 188, 1843, 368, 3611, 353, 670, 596, 1218, 615, 362, 5646, 282, 1004, 642, 16, 188, 510, 2774, 1362, 1927, 4079, 10725, 16, 4186, 254, 33504, 327, 35420, 265, 939, 254, 15727, 314, 6266, 1129, 11981, 248, 890, 18, 7, 4688, 274, 9067, 328, 254, 16455, 11, 282, 254, 15581, 1008, 27587, 348, 35681, 457, 85, 11912, 7233, 616, 1051, 254, 36687, 16, 1664, 369, 21873, 32563, 939, 254, 1284, 11116, 18339, 348, 35681, 1652, 4558, 282, 2411, 6645, 16, 444, 1169, 16, 380, 5793, 649, 958, 328, 254, 9117, 274, 1033, 1284, 1456, 48136, 286, 7549, 2959, 1318, 16, 1223, 348, 254, 12603, 38321, 254, 2286, 1919, 14, 368, 4428, 457, 86, 1336, 532, 25841, 2049, 16, 188, 20461, 26025, 747, 436, 580, 9042, 479, 274, 2075, 310, 513, 748, 310, 513, 16, 310, 2314, 27765, 2314, 16, 310, 2314, 13782, 276, 343, 254, 17294, 14, 16578, 286, 39448, 348, 248, 5769, 286, 248, 4335, 6429, 2292, 276, 7668, 16, 1223, 310, 2314, 4703, 843, 254, 6032, 555, 2102, 900, 615, 2860, 282, 3217, 14683, 18199, 16, 731, 369, 254, 3834, 7012, 11812, 14, 286, 310, 715, 27205, 327, 28192, 286, 310, 497, 2041, 282, 321, 626, 282, 8987, 353, 512, 16, 188, 4792, 457, 85, 282, 1125, 14, 1125, 1090, 274, 2314, 14, 10725, 14, 33276, 286, 14032, 2234, 16, 286, 6645, 16, 444, 1169, 3, 0, 6004, 360, 8812, 254, 3452, 21690, 328, 254, 26598, 2179, 3800, 1364, 7738, 14, 254, 10259, 21801, 286, 310, 4285, 282, 4126, 5337, 76, 20413, 1143, 432, 254, 31792, 276, 772, 3015, 10060, 16, 380, 31792, 434, 2584, 687, 353, 434, 1193, 6956, 14, 593, 626, 369, 9567, 324, 2782, 10143, 276, 254, 29054, 286, 324, 36200, 276, 254, 5099, 16, 188, 43, 452, 8611, 641, 4596, 668, 1665, 10970, 6958, 5172, 14, 286, 310, 452, 641, 7338, 328, 347 ]

[ 1, 274, 436, 310, 10288, 401, 23949, 10007, 328, 254, 411, 3069, 4669, 6254, 12969, 16, 1260, 248, 898, 14, 641, 5913, 390, 47288, 807, 4540, 282, 254, 22760, 4622, 286, 254, 22760, 4622, 3038, 807, 641, 3248, 13417, 343, 254, 11383, 5287, 16, 188, 10476, 401, 23949, 369, 3416, 742, 14, 3148, 2956, 2367, 959, 16, 310, 1938, 1652, 16418, 432, 15963, 2550, 327, 411, 3069, 311, 417, 401, 23949, 36701, 16, 16144, 327, 276, 2482, 603, 633, 2485, 17, 19542, 6577, 4279, 14491, 282, 321, 401, 23949, 36701, 16, 0, 4390, 282, 580, 274, 254, 24610, 276, 254, 4698, 380, 6797, 1318, 407, 254, 45026, 17009, 34331, 301, 443, 2478, 267, 14, 1569, 46929, 32587, 254, 14512, 274, 12951, 14, 17714, 14, 286, 13780, 319, 276, 5779, 16, 188, 8271, 526, 265, 274, 254, 23801, 282, 254, 9323, 274, 2436, 22804, 1348, 14, 830, 25167, 311, 248, 825, 274, 10725, 14, 286, 41533, 311, 248, 825, 274, 24031, 1426, 14, 1569, 46929, 1623, 1419, 1595, 713, 254, 5215, 274, 17695, 14, 4541, 14, 286, 18202, 836, 2957, 274, 1129, 533, 360, 403, 3673, 9988, 282, 3570, 14, 10205, 390, 11504, 276, 13034, 5779, 16, 188, 11518, 274, 254, 607, 332, 11354, 285, 311, 867, 282, 248, 1015, 4698, 274, 7020, 327, 403, 4405, 276, 254, 12865, 1527, 7451, 20833, 27717, 6014, 5957, 16, 380, 17388, 39063, 10482, 836, 7020, 532, 311, 3427, 282, 17531, 254, 2126, 1739, 274, 254, 2426, 16, 380, 4645, 12083, 274, 254, 4105, 5827, 31745, 22293, 14621, 276, 5719, 282, 671, 16, 0, 29253, 4684, 28, 348, 248, 37570, 7109, 14, 843, 476, 310, 11586, 618, 6211, 282, 3191, 13825, 282, 618, 2072, 670, 626, 403, 593, 1125, 9898, 2066, 33, 188, 8687, 368, 865, 327, 626, 403, 3009, 2021, 398, 6104, 254, 10032, 4351, 33, 8918, 14, 852, 368, 865, 327, 836, 942, 452, 2411, 624, 20185, 974, 274, 19047, 248, 16, 77, 16, 67, 16, 2909, 25593, 3404, 8816, 6547, 20141, 45122, 7370, 33, 188, 17234, 8064, 25719, 1725, 908, 85, 374, 18, 19, 26, 1822, 12142, 31794, 16, 0, 1130, 555, 643, 35147, 1544, 310, 852, 580, 286, 369, 4536, 360, 403, 1899, 16, 188, 6264, 14, 1315, 457, 85, 513, 353, 2292, 328, 7025, 374, 17, 20, 25, 16, 2003, 587, 1862, 368, 512, 8621, 282, 3083, 254, 8349, 14, 21879, 14, 18386, 14, 3547, 1091, 10619, 1157, 7319, 4419, 1157, 3547, 6109, 626, 16, 188, 5705, 328, 7025, 1315, 457, 85, 512, 1470, 1157, 3547, 6109, 16, 1258, 457, 85, 1800, 11976, 13238, 286, 4856, 353, 561, 282, 254, 37060, 1499, 286, 4895, 2996, 587, 1354, 4226, 16, 188, 43, 865, 46303, 2278, 4383, 5823, 2554, 311, 597, 324, 353, 977, 33, 188, 2686, 7629, 790, 16, 310, 587, 321, 2731, 3461, 282, 748, 12287, 1074, 16, 26742, 1856, 457, 86, 452, 665, 4128, 2778, 73, 5693, 321, 21794, 13692, 865, 16, 0, 686, 272, 16100, 3970, 3737, 276, 254, 1427, 2728, 7514, 14, 17042, 382, 33952, 286, 2410, 12756, 330, 2184, 8001, 327, 399, 560, 255, 36239, 1563, 624, 286, 1755, 9787, 7180, 16, 380, 4596, 5158, 311, 7234, 2514, 12544, 282, 22785, 31086, 28, 2916, 399, 2655, 276, 36239, 14, 286, 311, 12601, 432, 520, 41544, 769, 21163, 1756, 380, 443, 456, 3124, 16, 750, 2957, 327, 2624, 2109, 286, 32957, 7328, 327, 17539, 5299, 869, 719, 7, 286, 607, 18, 7, 348, 248, 898, 274, 248, 34052, 274, 9839, 3909, 16, 380, 2477, 3909, 3144, 432, 2477, 2477, 4865, 286, 6259, 274, 5532, 14, 2477, 732, 15, 16964, 15790, 14, 286, 2477, 11343, 286, 5081, 274, 9961, 14, 3134, 14, 286, 636, 8935, 16, 42129, 315, 580, 274, 254, 944, 10817, 4462, 324, 13922, 3909, 14, 2477, 12762, 6555, 14, 3432, 457, 86, 3468, 5234, 276, 254, 16100, 16, 188, 27177, 14, 2234, 16, 330, 2184, 3061, 687, 15, 251, 3718, 276, 9994, 248, 1449, 5753, 869, 769, 8694, 3530, 496, 2666, 8029, 13146, 457, 11409, 666, 286, 254, 1017, 2042, 274, 7827, 276, 4902, 747, 254, 4852, 10483, 6728, 14166, 14, 4645, 276, 248, 2863, 274, 942, 286, 7180, 276, 254, 1364, 9711, 16, 496, 1577, 14, 345, 821, 35248, 21150, 12810, 324, 17515, 769, 468, 26600, 324, 763, 282, 1241, 2008, 348, 1125, 743, 8841, 348, 852, 254, 4852, 10483, 286, 4852, 7715, 36380, 3551, 5514, 666, 869, 338, 27, 27, 20, 286, 374, 18, 18, 27, 16, 1678, 14, 4852, 10483, 311, 2102, 580, 274, 254, 944, 40688, 26044, 9839, 3551, 276, 254, 2504, 14, 286, 21150, 311, 580, 274, 254, 944, 29041, 1923, 16, 8918, 14, 1125, 274, 254, 3017, 4184, 7617, 14, 4645, 432, 254, 7155, 345, 2349, 348, 427, 2805, 14598, 1186, 14, 11586, 2477, 3909, 282, 13622, 1493, 2245, 14, 286, 41459, 6136, 34552, 14, 533, 774, 2490, 3909, 328, 580, 2187, 532, 783, 429, 1495, 16, 17318, 1024, 14, 529, 16, 53, 16, 8020, 5103, 282, 452, 2019, 36718, 8952, 683, 615, 5130, 20775, 2486, 452, 1181, 2330, 4440, 16229, 16, 188, 686, 1962, 14, 695, 272, 4576, 286, 47341, 16100, 14, 532, 688, 274, 254, 11496, 3471, 624, 747, 3471, 37346, 432, 248, 28422, 6834, 17719, 683, 254, 556, 5691, 41960, 43338, 274, 248, 25995, 16, 0, 2976, 267, 9899, 348, 272, 6623, 387, 380, 7296, 323, 16125, 1348, 4580, 274, 33753, 276, 28626, 46786, 14, 286, 841, 13178, 520, 28315, 276, 374, 18, 18, 23, 14, 36816, 369, 4400, 23378, 597, 407, 20921, 19363, 3473, 22017, 85, 274, 25124, 16, 188, 23954, 374, 18, 18, 27, 36816, 369, 17741, 2367, 328, 248, 5081, 274, 2165, 6319, 1648, 580, 742, 8841, 286, 1733, 20263, 15592, 3088, 314, 1507, 254, 38287, 481, 1678, 276, 327, 5603, 1464, 4251, 324, 36816, 314, 395, 248, 2187, 274, 2489, 11, 670, 345, 369, 1143, 27151, 1285, 254, 28243, 16, 188, 1516, 369, 248, 8353, 1110, 276, 36816, 457, 85, 5095, 16, 1180, 254, 1689, 374, 1090, 14, 36816, 4168, 19469, 12744, 282, 2896, 286, 2941, 843, 282, 1382, 248, 2072, 276, 819, 248, 2746, 4682, 671, 14, 4610, 597, 520, 1193, 26975, 3819, 1091, 36816, 2995, 3313, 22017, 85, 11771, 314, 32324, 481, 27417, 742 ]

[ 1, 7228, 16, 188, 510, 9845, 32698, 14, 11042, 407, 512, 14, 13889, 274, 248, 10286, 5278, 14, 2424, 286, 3065, 8760, 286, 19792, 286, 7351, 789, 14, 248, 47141, 494, 31307, 324, 254, 42720, 7335, 16665, 409, 11340, 1322, 286, 4663, 4956, 663, 573, 643, 9734, 512, 1362, 16, 15358, 254, 6280, 14, 2499, 683, 272, 742, 15, 10968, 2591, 2288, 14, 254, 1907, 8902, 457, 85, 9107, 282, 2120, 248, 47369, 314, 43697, 407, 740, 256, 2437, 11, 276, 254, 6649, 9643, 14, 533, 28955, 369, 39433, 265, 407, 3972, 8364, 14, 286, 254, 47369, 369, 2828, 276, 254, 17058, 7228, 841, 254, 15669, 16, 188, 510, 763, 15, 1183, 4654, 2956, 276, 33103, 328, 8109, 343, 254, 16962, 47122, 14, 248, 21403, 282, 30276, 254, 7477, 282, 7335, 16665, 409, 5539, 274, 12382, 7416, 16962, 16, 380, 21403, 369, 18338, 2714, 11567, 8466, 18624, 282, 1270, 1234, 254, 2038, 28404, 8466, 485, 286, 37183, 485, 457, 286, 369, 1635, 407, 12382, 23086, 35240, 323, 16, 35109, 2139, 14, 314, 32501, 11839, 324, 8466, 18624, 14, 4347, 274, 6757, 17812, 14, 2421, 274, 11666, 14, 11666, 5427, 481, 188, 27780, 39504, 763, 7332, 11824, 3444, 248, 580, 15, 11642, 8350, 2654, 533, 2263, 1619, 841, 254, 16962, 47122, 14, 26447, 29590, 282, 2207, 254, 1002, 29941, 31305, 14, 286, 2818, 7736, 26302, 432, 11824, 580, 286, 763, 16, 188, 6690, 11824, 497, 3444, 407, 248, 23795, 763, 15, 11642, 10864, 2654, 387, 338, 20, 16, 19, 18, 14, 533, 369, 2828, 276, 254, 20228, 2104, 286, 11152, 35596, 671, 282, 2896, 343, 23943, 14, 1806, 31305, 286, 7829, 254, 12458, 6254, 418, 3101, 13367, 19277, 314, 19, 20, 16, 22, 23, 428, 338, 22, 16, 18, 18, 481, 188, 510, 763, 7332, 8109, 11824, 4671, 841, 254, 10864, 2654, 343, 11824, 1241, 14, 1694, 14, 2537, 286, 2712, 16, 826, 6692, 369, 6965, 387, 338, 23, 16, 22, 18, 324, 248, 495, 18, 15, 15075, 10062, 2654, 286, 624, 671, 282, 590, 2255, 254, 20228, 286, 31305, 16, 188, 35, 16727, 15669, 286, 254, 7847, 8725, 387, 657, 16, 2436, 457, 85, 6640, 14, 11666, 9706, 742, 248, 2057, 801, 1362, 274, 254, 378, 3231, 53, 24785, 29123, 286, 12304, 16, 188, 27557, 3998, 2956, 343, 763, 7332, 11824, 14, 4941, 286, 4175, 16, 1993, 11824, 497, 3444, 407, 248, 580, 15, 11642, 8350, 2654, 14, 533, 369, 2828, 276, 254, 20228, 2104, 16, 188, 510, 4523, 274, 7998, 3998, 7332, 11824, 4671, 841, 254, 8350, 2654, 343, 11824, 7261, 286, 3460, 1063, 248, 2654, 274, 580, 4813, 324, 10864, 14, 1285, 533, 254, 378, 3231, 53, 24785, 4078, 29123, 2263, 1619, 14, 28860, 254, 8820, 11824, 14, 254, 378, 3231, 53, 771, 3399, 1795, 34298, 47122, 14, 17263, 26302, 286, 254, 10902, 40431, 16, 188, 510, 2379, 21403, 14, 254, 1795, 34298, 378, 3231, 53, 15096, 457, 85, 47122, 14, 369, 1635, 407, 12382, 444, 16, 427, 16, 40657, 27751, 314, 18780, 274, 16937, 14, 5427, 11, 328, 2714, 4369, 30614, 274, 1822, 1302, 560, 276, 34852, 282, 23704, 5251, 34852, 348, 43331, 428, 254, 26777, 274, 19525, 7335, 16665, 409, 5539, 14960, 188, 42263, 7998, 8820, 2950, 254, 9498, 274, 2624, 378, 3231, 53, 16161, 407, 254, 378, 3231, 53, 15096, 3093, 33994, 473, 457, 36660, 348, 628, 274, 254, 10902, 16268, 16, 188, 510, 46501, 21145, 14, 24030, 407, 39152, 2112, 11506, 14, 369, 11620, 282, 254, 1640, 743, 286, 14726, 22074, 457, 85, 7736, 9498, 387, 254, 374, 18, 19, 26, 4654, 276, 18692, 274, 42312, 46501, 663, 573, 248, 33645, 274, 4782, 7736, 26302, 16, 826, 802, 457, 85, 5557, 1747, 369, 6221, 7005, 428, 2421, 274, 3539, 15546, 324, 616, 7998, 3998, 7736, 9498, 18338, 2714, 28709, 13946, 4835, 3208, 394, 20374, 4687, 274, 3162, 21630, 6341, 258, 8228, 1838, 301, 407, 15243, 286, 15267, 15, 43, 1287, 7646, 457, 533, 5309, 843, 254, 1427, 2728, 17, 4119, 8681, 1127, 3579, 14, 343, 248, 1017, 2974, 3909, 286, 343, 1125, 9526, 17423, 7924, 4822, 14, 369, 580, 274, 254, 4442, 24656, 1773, 1540, 276, 254, 4953, 16, 25511, 432, 2537, 10218, 23702, 274, 254, 25662, 5008, 497, 10105, 3444, 407, 1449, 19854, 21348, 3360, 7315, 44971, 314, 2026, 7811, 11, 270, 14995, 4828, 7044, 6595, 303, 1380, 12205, 314, 5358, 15, 43, 1287, 11, 7646, 286, 15243, 21348, 3360, 5628, 7044, 5670, 314, 2026, 6953, 11, 15267, 15, 43, 1287, 7646, 4645, 276, 743, 8285, 5802, 1129, 3516, 16, 188, 24190, 7005, 428, 2421, 274, 3539, 15546, 286, 3093, 33994, 473, 457, 36660, 314, 24581, 1987, 22882, 274, 378, 3231, 53, 481, 188, 510, 378, 635, 10154, 21145, 14, 24030, 407, 32926, 276, 18692, 274, 8452, 378, 635, 10154, 311, 11620, 282, 254, 1640, 743, 286, 14726, 22074, 457, 85, 20117, 9498, 387, 254, 374, 18, 19, 26, 4654, 16, 826, 802, 457, 85, 5557, 1747, 369, 36704, 24471, 250, 20142, 428, 2421, 274, 418, 601, 23860, 324, 616, 20117, 18338, 2714, 52, 39680, 496, 15, 34342, 87, 41660, 274, 254, 1158, 3214, 268, 24923, 276, 401, 4789, 3719, 2147, 302, 945, 343, 248, 14117, 5604, 4755, 1270, 1234, 457, 533, 2448, 254, 2363, 274, 276, 15, 11866, 87, 1735, 2983, 324, 889, 387, 6442, 13084, 282, 4646, 254, 671, 286, 2042, 2258, 343, 3398, 33773, 1735, 16, 24984, 2109, 452, 9656, 282, 1263, 248, 15735, 282, 4947, 254, 2289, 274, 248, 31767, 6705, 387, 248, 6029, 14, 533, 311, 5503, 276, 14231, 695, 16719, 282, 254, 5672, 671, 1360, 14, 2228, 593, 2019, 626, 403, 641, 4095, 5445, 16, 188, 6630, 15235, 466, 24471, 250, 20142, 428, 2421, 274, 418, 601, 23860, 286, 3093, 33994, 473, 457, 36660, 314, 24581, 1987, 22882, 274, 378, 3231, 53, 481, 188, 3431, 1188, 1086, 324, 836, 763, 33880, 1339, 321, 1615, 378, 3231, 53, 2672, 343, 1637, 683, 607, 1090, 457, 2705, 276, 2209, 24698, 14, 1648, 7646, 18813, 20662, 2479, 532, 417, 1648, 5095, 13104, 16, 188, 510, 1569, 1799, 682, 457, 30175, 5614, 255, 21145, 37219, 14, 24030, 407, 13205, 14892, 14, 2449, 272, 4954, 324, 512, 29590, 274, 254, 378, 3231, 53, 24785, 29123, 286 ]

[ 1, 11486, 1879, 362, 5934, 1532, 314, 285, 1873, 348, 16650, 276, 4182, 9258, 11, 29420, 3672, 248, 10800, 867, 274, 32048, 14025, 254, 362, 5934, 1532, 17669, 2611, 16, 731, 476, 321, 900, 282, 1916, 1015, 3395, 274, 4742, 28, 38900, 28798, 4742, 14, 362, 5934, 1532, 22736, 10088, 15, 250, 14, 11519, 5493, 14, 6879, 4742, 14, 4622, 4742, 16, 731, 311, 7353, 9340, 1726, 348, 624, 286, 624, 31272, 2411, 338, 18, 18, 7, 7306, 1013, 343, 362, 5934, 1532, 16, 188, 1516, 3802, 30748, 282, 25897, 254, 1640, 8112, 324, 6507, 4742, 960, 16650, 286, 362, 5934, 1532, 8755, 16, 310, 756, 3709, 836, 2107, 282, 254, 4742, 4131, 328, 1708, 274, 16650, 286, 362, 5934, 1532, 8755, 16, 380, 11979, 1640, 8112, 324, 2809, 2363, 403, 1311, 4475, 282, 254, 2251, 274, 633, 2133, 14, 532, 417, 276, 254, 7780, 274, 436, 3899, 16, 188, 2432, 403, 1125, 1640, 8112, 324, 1004, 628, 274, 254, 32048, 14, 324, 1610, 22521, 14, 5553, 14, 2288, 4184, 14, 3838, 16, 839, 2468, 3709, 729, 512, 1045, 14, 532, 2536, 254, 1708, 338, 18, 327, 2563, 282, 944, 11924, 254, 944, 348, 3517, 16, 188, 2432, 403, 593, 1125, 4462, 324, 436, 282, 321, 1800, 19, 1640, 3819, 512, 276, 512, 16, 826, 3998, 310, 1652, 272, 4436, 432, 618, 24625, 663, 555, 248, 5114, 343, 338, 18, 14, 18, 18, 18, 655, 12470, 282, 321, 7110, 16, 1547, 961, 282, 4672, 254, 2949, 931, 274, 655, 12470, 532, 4328, 254, 362, 37849, 16, 1334, 282, 3425, 254, 655, 12470, 286, 751, 2949, 931, 670, 688, 274, 729, 2055, 432, 580, 3064, 282, 1495, 33, 380, 23947, 286, 1640, 1026, 282, 513, 353, 311, 436, 1800, 19, 16, 188, 29200, 624, 5011, 995, 683, 15032, 58, 390, 15032, 20770, 16, 188, 27302, 4184, 343, 1956, 4458, 683, 1125, 11824, 282, 1004, 15032, 58, 17, 1384, 20770, 248, 362, 21307, 25221, 16, 188, 34975, 12200, 274, 7306, 10400, 670, 596, 2055, 1444, 276, 633, 7306, 931, 3925, 16, 188, 34284, 1701, 456, 1460, 756, 2066, 276, 362, 21307, 16, 188, 2231, 7461, 668, 254, 2629, 273, 830, 1015, 15032, 58, 17, 1384, 20770, 14491, 403, 1225, 16, 380, 362, 21307, 3809, 1521, 274, 254, 5498, 9258, 274, 4233, 29108, 16, 188, 2432, 3432, 457, 86, 1181, 2949, 5585, 407, 12519, 282, 1999, 4233, 29108, 1544, 374, 16, 23, 16, 188, 9654, 14, 368, 961, 282, 3570, 3208, 17599, 32048, 16, 380, 16650, 286, 362, 5934, 1532, 3462, 22809, 687, 671, 14, 593, 513, 254, 32048, 16, 3683, 274, 254, 32048, 751, 29567, 670, 743, 16319, 1663, 561, 16, 1664, 1856, 457, 86, 321, 665, 8758, 3373, 328, 633, 2809, 14, 348, 254, 29567, 32048, 403, 1311, 30843, 16, 5891, 254, 671, 14, 836, 29567, 32048, 587, 12877, 3298, 561, 16, 1838, 321, 44350, 276, 13454, 324, 254, 2462, 16, 188, 15341, 29420, 374, 16, 23, 555, 624, 683, 374, 18, 18, 9084, 3395, 16, 5650, 5955, 248, 1479, 274, 4293, 14, 286, 6382, 1460, 324, 1949, 18374, 286, 31938, 16, 331, 16011, 254, 34037, 2701, 633, 2809, 624, 9969, 16, 5671, 327, 254, 539, 2375, 274, 37530, 40, 1867, 311, 841, 254, 37530, 5173, 276, 8371, 4355, 368, 1038, 457, 86, 452, 282, 5667, 353, 16, 1268, 387, 254, 5114, 1874, 14, 368, 513, 452, 282, 5667, 353, 348, 1033, 9084, 1479, 10674, 943, 432, 37332, 5173, 3468, 390, 21064, 16, 188, 5125, 16580, 931, 30682, 633, 2949, 286, 1649, 7767, 328, 254, 4622, 16, 826, 311, 3233, 1972, 670, 368, 4540, 282, 362, 21307, 533, 21463, 248, 2187, 274, 5351, 14, 931, 24477, 286, 4184, 785, 16, 12077, 633, 8755, 8325, 14, 353, 457, 85, 6397, 9734, 2102, 16, 1395, 1038, 457, 86, 961, 282, 687, 7767, 353, 286, 3355, 1051, 1789, 16, 188, 9534, 14886, 756, 748, 457, 85, 1339, 15, 927, 15, 9541, 14, 417, 5167, 15, 927, 15, 9541, 16, 188, 10653, 756, 2304, 254, 4091, 931, 533, 2427, 457, 86, 1767, 387, 512, 390, 2427, 457, 86, 1767, 1285, 248, 6692, 5089, 33086, 16, 188, 510, 14922, 10653, 264, 311, 248, 1062, 4311, 7110, 1740, 276, 254, 29420, 16, 731, 457, 85, 2155, 6250, 532, 669, 1062, 1837, 282, 889, 16, 330, 2187, 274, 3418, 276, 254, 3015, 403, 2815, 282, 353, 16, 380, 4569, 6783, 311, 3837, 1017, 16, 4801, 324, 254, 7212, 11924, 14, 353, 457, 85, 9394, 3364, 282, 321, 10676, 343, 7077, 3277, 747, 31832, 3083, 16, 188, 9334, 593, 14, 626, 311, 641, 8545, 432, 436, 14922, 10653, 264, 974, 353, 457, 85, 2674, 254, 756, 1026, 282, 751, 3487, 432, 665, 7110, 1740, 16, 1286, 368, 1038, 457, 86, 889, 4817, 77, 943, 348, 8298, 14, 368, 452, 282, 889, 254, 8755, 3468, 16, 188, 12904, 311, 1495, 1726, 286, 7541, 900, 7110, 1740, 16, 39423, 688, 314, 23, 18, 14605, 2983, 1076, 4598, 248, 17033, 1740, 14, 960, 533, 368, 476, 3425, 254, 4631, 16, 330, 4686, 1740, 555, 1062, 3587, 1464, 671, 343, 668, 338, 18, 2819, 16, 2646, 327, 14, 368, 2468, 1041, 665, 1052, 282, 353, 3468, 390, 21064, 314, 1507, 1610, 14, 960, 254, 14922, 10653, 264, 282, 751, 695, 2779, 481, 1395, 452, 282, 889, 9289, 10653, 264, 324, 665, 9243, 8663, 16, 188, 30814, 1091, 6524, 324, 436, 16, 1260, 1845, 368, 4212, 353, 977, 328, 254, 1450, 16, 1800, 22, 311, 580, 274, 254, 1794, 16049, 360, 915, 670, 12287, 403, 3532, 8441, 5322, 19068, 9127, 959, 2129, 188, 634, 1157, 1140, 31136, 310, 1038, 457, 86, 465, 627, 843, 282, 5053, 8755, 4960, 954, 1256, 3963, 33, 0, 1031, 344, 484, 264, 322, 13728, 7591, 5962, 374, 18, 19, 24, 7126, 587, 5357, 248, 4800, 3694, 869, 10798, 45, 706, 14566, 2278, 25515, 16, 4978, 4532, 327, 774, 4683, 254, 10869, 403, 34319, 14, 378, 4210, 14, 5207, 45, 286, 367, 8196, 16, 188, 686, 254, 1364, 29484, 12002, 276, 374, 18, 19, 22, 14, 436, 7591, 8005, 573, 1635, 254, 14566, 2278, 25515, 7236, 610, 16, 2323, 357, 44756, 248, 1157, 1394, 274, 1444, 338, 22, 24, 26, 24, 24, 12652, 16 ]

[ 1, 387, 836, 11079, 587, 513, 248, 1247, 2545, 274, 1665, 2886, 633, 22417, 286, 254, 2949, 18151, 432, 1438, 432, 848, 282, 338, 20, 9625, 311, 417, 1247, 2151, 282, 7304, 254, 4325, 2042, 16, 188, 510, 399, 5773, 13789, 327, 310, 452, 4131, 452, 22558, 972, 286, 652, 2175, 2622, 428, 23, 18, 28483, 69, 597, 282, 607, 21206, 286, 38639, 282, 428, 22, 18, 28483, 69, 387, 338, 18, 21206, 16, 31570, 338, 18, 21206, 254, 356, 67, 2116, 652, 2175, 1663, 597, 282, 254, 428, 20, 18, 28483, 69, 1245, 286, 1242, 282, 3073, 2622, 254, 26923, 4155, 16, 1180, 1610, 387, 338, 24, 21206, 3340, 4155, 14, 254, 6081, 18978, 828, 34704, 311, 2602, 1444, 607, 21206, 16, 188, 510, 6131, 8657, 324, 254, 399, 5773, 311, 2449, 432, 248, 576, 18, 21206, 14, 45203, 26998, 16, 1993, 347, 37, 5282, 4, 9513, 2317, 403, 1062, 1656, 2042, 286, 5271, 7692, 282, 963, 1525, 470, 16, 18, 19, 7536, 380, 8657, 311, 748, 5085, 254, 7673, 7009, 274, 254, 3340, 4155, 16, 2807, 960, 248, 470, 16, 18, 19, 7, 26998, 254, 3340, 4155, 587, 321, 1525, 11305, 19, 18, 18, 18, 14467, 670, 26923, 387, 338, 18, 21206, 16, 188, 510, 1423, 2416, 22448, 311, 254, 1062, 4489, 367, 1811, 2868, 432, 12409, 17894, 10501, 314, 1731, 395, 2081, 14, 29778, 481, 731, 369, 6596, 974, 353, 311, 248, 7573, 347, 21163, 32532, 4, 4242, 286, 353, 434, 1062, 1656, 2363, 286, 1305, 2042, 16, 310, 4131, 248, 3316, 2363, 975, 1648, 248, 33235, 14, 801, 2210, 331, 3511, 6553, 210, 286, 11830, 444, 6059, 255, 324, 758, 370, 20, 18, 18, 16, 18, 18, 16, 188, 510, 4105, 403, 12110, 2066, 286, 670, 254, 295, 14582, 35056, 3395, 403, 900, 596, 476, 321, 42984, 286, 900, 687, 959, 276, 642, 6319, 16, 188, 3912, 274, 254, 9889, 2704, 274, 254, 338, 24, 37, 25, 19, 2725, 900, 311, 327, 353, 311, 1062, 3364, 282, 2024, 254, 2725, 324, 23538, 20, 21, 20, 10112, 5351, 960, 756, 495, 19745, 282, 254, 3064, 5414, 16, 380, 338, 24, 37, 25, 19, 669, 4288, 248, 1694, 4897, 14, 848, 2298, 4662, 330, 17, 38, 23867, 16, 188, 510, 4893, 4116, 274, 254, 1453, 50, 311, 282, 1218, 13519, 432, 254, 23538, 20, 21, 20, 2176, 286, 867, 254, 2520, 4155, 14, 2520, 286, 11145, 20319, 2317, 286, 1218, 254, 11145, 3340, 31540, 314, 56, 570, 254, 367, 1811, 434, 4131, 276, 330, 17, 38, 23867, 481, 330, 1330, 331, 2024, 369, 3427, 282, 4521, 46720, 13519, 432, 254, 23538, 20, 21, 20, 1360, 286, 867, 254, 4426, 9625, 1017, 390, 1656, 328, 254, 367, 1811, 434, 3340, 23096, 16, 13157, 3571, 1116, 1182, 1152, 311, 8774, 407, 10160, 888, 272, 46436, 1839, 11865, 12, 3291, 841, 1004, 8158, 1218, 3797, 16, 1286, 254, 26848, 869, 254, 5414, 286, 254, 367, 1811, 311, 6965, 324, 665, 1865, 254, 5414, 476, 835, 3177, 254, 2160, 286, 501, 22363, 899, 254, 5495, 16, 188, 2943, 6324, 387, 576, 21206, 254, 1575, 29605, 311, 811, 248, 1603, 279, 3261, 11134, 286, 254, 23538, 20, 21, 20, 4458, 476, 9929, 34427, 387, 248, 2546, 890, 24, 18, 18, 271, 5195, 16, 188, 510, 4662, 14, 576, 4897, 330, 17, 38, 23867, 274, 254, 338, 24, 37, 25, 19, 2725, 2701, 353, 3364, 282, 751, 931, 432, 254, 1491, 1499, 286, 4856, 353, 2049, 254, 23538, 20, 21, 20, 713, 254, 5414, 324, 5009, 16, 188, 510, 11343, 274, 1656, 2042, 14, 5751, 331, 210, 286, 19639, 509, 29446, 210, 324, 836, 3963, 669, 2034, 327, 368, 1038, 625, 872, 282, 2941, 2486, 1495, 7591, 3335, 282, 1649, 836, 26055, 282, 785, 16, 1395, 476, 785, 276, 248, 9587, 1017, 1245, 3335, 3082, 16, 188, 4387, 2211, 836, 3357, 807, 452, 643, 8774, 343, 2630, 248, 13003, 12996, 9071, 16206, 286, 254, 898, 650, 452, 643, 254, 1057, 16, 1268, 254, 2150, 286, 3532, 671, 369, 2541, 432, 248, 2065, 282, 811, 272, 8820, 960, 254, 367, 1811, 2416, 22448, 16, 188, 510, 1575, 6015, 311, 593, 4800, 3461, 327, 353, 2427, 625, 10413, 1002, 872, 28524, 16, 330, 374, 23, 5874, 3925, 30876, 38177, 314, 15299, 432, 13570, 1572, 471, 11, 311, 900, 282, 2023, 440, 9821, 11305, 338, 25, 1880, 1601, 282, 254, 1241, 8130, 21132, 16, 188, 510, 756, 2115, 274, 2628, 3751, 1045, 311, 327, 254, 19196, 900, 324, 254, 558, 23, 5874, 3340, 933, 321, 254, 9394, 7692, 21100, 7253, 20, 7, 390, 1755, 11, 1479, 7414, 16, 826, 311, 974, 254, 19196, 311, 900, 282, 1575, 254, 2416, 22448, 286, 254, 2416, 22448, 4504, 436, 6540, 348, 248, 3681, 324, 353, 434, 4662, 330, 17, 38, 23867, 16, 731, 311, 11103, 282, 1920, 436, 6540, 348, 2722, 282, 607, 1880, 1601, 348, 1841, 282, 1920, 254, 7663, 2413, 274, 254, 28352, 17803, 16, 188, 510, 558, 23, 5874, 19196, 933, 321, 10594, 282, 248, 1330, 4112, 15886, 348, 353, 17813, 682, 688, 1575, 1899, 282, 254, 558, 19, 25, 1880, 1601, 387, 353, 434, 3175, 16, 188, 10072, 274, 254, 13789, 403, 1303, 25818, 286, 476, 321, 4131, 276, 811, 668, 665, 1026, 368, 961, 16, 310, 4131, 512, 274, 618, 13789, 347, 36, 1073, 4552, 4, 3616, 328, 1330, 7242, 274, 13906, 44175, 41744, 16, 380, 13906, 44175, 3290, 248, 11322, 3112, 6243, 286, 254, 13789, 403, 4131, 495, 15, 17639, 2375, 594, 1788, 254, 4310, 16, 188, 43, 4131, 254, 2520, 286, 11145, 13789, 328, 1330, 7242, 274, 13906, 44175, 327, 4793, 276, 1330, 16963, 12431, 274, 254, 1479, 327, 13570, 1572, 471, 26965, 16, 380, 1330, 29018, 17358, 4603, 545, 10212, 254, 6324, 13789, 286, 1949, 1336, 282, 4646, 254, 5876, 5100, 16, 188, 510, 11145, 13789, 872, 688, 2628, 1521, 670, 3532, 2228, 16, 16457, 9801, 432, 254, 3175, 282, 254, 11145, 282, 254, 3175, 274, 254, 8740, 24, 18, 22, 311, 248, 1339, 603, 368, 403, 1438, 282, 4962, 254, 719, 18, 28483, 7663, 2413, 1841, 343, 436, 2150, 16, 4772, 274, 254, 1017, 26898, 2237, 1045, 314, 779, 8740, 24, 18, 22, 555, 248 ]

[ 1, 188, 8450, 877, 3611, 254, 3471, 274, 254, 6503, 980, 286, 3097, 265, 282, 26996, 14, 663, 7360, 713, 3479, 877, 457, 85, 760, 85, 2725, 16, 188, 1590, 45085, 1397, 3479, 877, 3611, 272, 30979, 4179, 16, 188, 1590, 5338, 457, 86, 321, 1034, 16, 7560, 1397, 3479, 877, 1815, 701, 3611, 310, 4308, 1939, 43666, 457, 85, 4179, 14, 532, 7002, 701, 8487, 457, 86, 16, 1469, 47905, 15677, 1711, 282, 2615, 254, 7621, 282, 254, 2141, 28366, 413, 9412, 1063, 10638, 248, 1116, 561, 282, 26996, 16, 188, 1590, 39211, 457, 86, 1242, 561, 348, 254, 30434, 274, 254, 5945, 2795, 482, 14, 852, 368, 7518, 1469, 332, 339, 1055, 248, 21829, 283, 670, 701, 3611, 15677, 1711, 3770, 27970, 16, 188, 29164, 335, 11577, 616, 1450, 38337, 16, 188, 8450, 877, 3611, 15677, 1711, 3541, 888, 343, 254, 4500, 593, 1656, 327, 756, 3479, 877, 457, 85, 8429, 21111, 807, 2536, 353, 597, 16, 188, 5338, 2011, 14, 26996, 14, 286, 31759, 1102, 3622, 2731, 387, 254, 33758, 274, 1963, 286, 3732, 16, 25834, 22969, 16, 380, 3132, 22135, 16, 12102, 16736, 348, 14685, 22908, 286, 19219, 16, 310, 4308, 13883, 14, 663, 807, 1477, 324, 31759, 16, 380, 610, 7235, 252, 2380, 28, 418, 45004, 40033, 1085, 14, 610, 8211, 500, 264, 15, 8450, 286, 16073, 15, 8450, 16, 380, 1572, 792, 286, 500, 792, 28, 1201, 8810, 286, 27118, 7296, 25000, 16, 6221, 23684, 16, 12456, 286, 29203, 18481, 28, 254, 3132, 286, 1615, 3093, 16, 401, 366, 16, 1223, 580, 624, 16, 188, 18398, 2795, 482, 6459, 254, 3797, 3925, 286, 254, 19972, 28882, 5260, 16, 188, 1590, 38, 14818, 7518, 26996, 29679, 16, 769, 1931, 368, 457, 251, 3720, 11288, 2552, 14, 1081, 5252, 1865, 286, 26590, 13039, 616, 3277, 16, 769, 43, 457, 79, 6829, 16, 3826, 310, 865, 748, 34111, 3428, 16, 310, 457, 79, 26996, 7296, 14, 254, 24375, 559, 274, 618, 1499, 1397, 1469, 7602, 2828, 561, 248, 1116, 16, 188, 1590, 44063, 7296, 1397, 750, 9325, 343, 11333, 16, 769, 50, 283, 828, 282, 2445, 368, 1397, 750, 2263, 616, 1116, 2778, 395, 3428, 248, 26512, 16, 188, 8450, 877, 8812, 520, 11132, 16, 1395, 1872, 353, 1480, 14, 1038, 457, 86, 368, 33, 1395, 1872, 747, 368, 457, 251, 16817, 387, 633, 1193, 14558, 14, 286, 368, 1038, 457, 86, 865, 2075, 16, 188, 510, 1572, 386, 275, 418, 1078, 4761, 14, 3093, 16, 500, 13314, 4400, 616, 4710, 254, 496, 379, 4956, 713, 254, 2126, 2599, 551, 16, 6236, 520, 8147, 14, 345, 34379, 343, 12456, 18481, 14, 254, 3326, 3093, 16, 401, 366, 286, 1615, 1572, 1345, 313, 43284, 16, 19475, 14, 596, 9874, 254, 1241, 286, 2287, 615, 1508, 888, 282, 3479, 877, 286, 17064, 16, 188, 44063, 457, 85, 45447, 2350, 597, 16, 15554, 4576, 16, 771, 27473, 22015, 16, 188, 43, 452, 282, 915, 436, 16, 3479, 877, 41907, 282, 5803, 16, 826, 587, 321, 4576, 16, 14685, 22908, 4488, 16, 24375, 559, 16, 2552, 248, 7621, 2362, 254, 2244, 7078, 616, 3983, 16, 188, 13747, 929, 31188, 286, 596, 2950, 248, 8691, 1988, 2743, 616, 3277, 16, 188, 1590, 43, 457, 619, 321, 977, 888, 1397, 31759, 7233, 282, 830, 26996, 6054, 16, 2646, 248, 1603, 7061, 14, 701, 4744, 16, 188, 1590, 3992, 14, 360, 476, 563, 1397, 1469, 6459, 8705, 1022, 286, 27118, 286, 310, 4308, 3444, 616, 16, 188, 8450, 877, 7233, 282, 254, 3383, 16, 17097, 336, 1198, 494, 14, 701, 1311, 3428, 248, 26512, 16, 188, 38, 8730, 6054, 742, 282, 34111, 457, 85, 1874, 14, 42750, 387, 616, 16, 188, 1590, 43, 5565, 310, 7002, 1397, 34111, 658, 320, 1055, 16, 188, 1590, 8177, 368, 14, 32028, 1397, 34111, 7406, 254, 24797, 16, 188, 29164, 335, 11958, 561, 14, 19567, 27102, 16, 13794, 273, 616, 2849, 4264, 15677, 1711, 14, 1201, 8810, 30156, 3353, 254, 2784, 3306, 16, 380, 3132, 5194, 15, 27623, 5607, 16, 23298, 1495, 7385, 324, 479, 16, 1268, 593, 1015, 432, 254, 1515, 274, 441, 16, 310, 2033, 27118, 14, 532, 310, 1038, 457, 86, 2033, 368, 16, 1223, 310, 457, 79, 417, 2056, 310, 747, 368, 16, 188, 1590, 1212, 1606, 282, 452, 17252, 3136, 272, 8223, 1397, 26996, 25129, 282, 15677, 1711, 16, 188, 1590, 2976, 977, 1397, 15677, 1711, 41907, 16, 769, 4816, 417, 7518, 1547, 7233, 561, 274, 254, 3609, 9259, 16, 188, 3602, 1102, 3622, 758, 248, 31633, 274, 6950, 286, 3297, 615, 652, 275, 800, 14, 1205, 254, 9146, 92, 786, 3156, 328, 432, 9884, 16, 188, 13718, 1072, 1659, 14, 32028, 3156, 1051, 387, 254, 3694, 16, 15677, 1711, 573, 1143, 272, 9464, 42291, 2160, 286, 1102, 5803, 11733, 939, 254, 2257, 16, 26996, 12946, 44741, 324, 616, 282, 16010, 742, 254, 3071, 21273, 16, 4814, 609, 14, 15677, 1711, 39173, 26996, 713, 254, 6950, 16, 15677, 1711, 45519, 616, 1827, 15, 8296, 14, 532, 417, 4400, 2151, 286, 26996, 18777, 616, 561, 274, 254, 5049, 16, 188, 1590, 3916, 368, 2033, 748, 368, 457, 251, 6349, 33, 1469, 5182, 248, 21161, 274, 23200, 92, 1448, 1269, 960, 616, 5945, 2795, 482, 16, 1469, 900, 616, 4609, 286, 3759, 14, 618, 13841, 14, 286, 254, 6750, 701, 6139, 432, 616, 10274, 3224, 16, 1223, 327, 369, 353, 1397, 1469, 658, 320, 1055, 16, 769, 2943, 369, 254, 1364, 671, 27118, 5325, 248, 3260, 1269, 960, 616, 8898, 33, 2141, 1201, 8810, 33, 2141, 368, 33, 1691, 4448, 282, 254, 636, 663, 41205, 327, 345, 650, 1582, 2411, 520, 8898, 7518, 3479, 877, 12148, 276, 248, 9229, 6173, 16, 188, 2899, 3156, 597, 387, 775, 343, 248, 1247, 30764, 276, 616, 2836, 16, 188, 8450, 877, 41614, 282, 3575, 254, 652, 275, 800, 16, 380, 24375, 559, 573, 1143, 248, 4372, 2160, 1111, 264, 593, 353, 5260, 16, 15677, 1711, 2263, 5585, 14, 532, 254, 24375, 559, 12036, 1181, 624, 4400, 683, 701, 933, 452, 16, 188, 35900, 1711, 3428, 20483, 46204, 3437, 616, 2482, 16, 310, 457, 307, 643, 8389, 747, 310, 457, 79, 254, 8706, 21483, 16, 310, 452, 282, 5757, 618, 687, 38402, 16 ]

[ 1, 273, 330, 1838, 588, 18823, 2147, 1407, 1180, 512, 1093, 8578, 16487, 2873, 663, 403, 5983, 254, 10840, 1767, 1171, 432, 15335, 1013, 4767, 888, 282, 2546, 4829, 5779, 14, 12055, 254, 11057, 286, 23041, 274, 960, 248, 30711, 3686, 2342, 311, 3061, 254, 6593, 3798, 16, 2028, 9567, 274, 11264, 286, 43095, 24537, 1754, 688, 1479, 274, 3944, 3686, 4205, 14, 353, 476, 321, 417, 5503, 14, 532, 324, 1125, 8578, 16487, 2873, 14, 353, 1503, 5440, 321, 248, 12557, 3109, 12581, 254, 1026, 324, 368, 282, 12209, 19784, 16, 380, 5322, 327, 4955, 282, 321, 3443, 387, 607, 18, 2476, 1026, 8841, 403, 1062, 2013, 282, 327, 274, 16285, 532, 7004, 974, 596, 7834, 368, 248, 2187, 624, 15400, 282, 27919, 633, 1362, 15, 927, 15, 1183, 14486, 14, 368, 1797, 254, 8758, 4688, 282, 751, 748, 327, 368, 403, 12055, 286, 3250, 729, 282, 1491, 5157, 1464, 9282, 16, 7648, 373, 4760, 274, 1826, 368, 4955, 282, 321, 26879, 390, 417, 1525, 633, 5157, 40669, 14, 368, 807, 1852, 633, 4566, 888, 282, 248, 11474, 286, 27687, 10542, 830, 633, 41010, 14, 3615, 5537, 14, 390, 29215, 1503, 1336, 368, 8943, 353, 16, 4539, 512, 274, 254, 11057, 14, 580, 274, 254, 944, 1157, 24919, 327, 942, 5353, 311, 327, 368, 4126, 254, 11401, 22653, 3026, 16, 2514, 328, 254, 27799, 3829, 4156, 274, 10344, 343, 254, 1767, 1171, 713, 14020, 4326, 311, 2304, 2304, 624, 9999, 254, 23839, 274, 580, 434, 6071, 14, 7541, 3690, 16, 21040, 6494, 476, 811, 2023, 368, 343, 8372, 939, 254, 2008, 596, 2445, 1002, 2101, 642, 16285, 5322, 476, 2042, 2917, 248, 1247, 2874, 624, 8688, 16, 15695, 273, 3468, 282, 633, 2779, 6071, 14, 3614, 14, 476, 321, 3837, 10840, 348, 1770, 286, 2185, 561, 274, 633, 1985, 807, 37446, 282, 1519, 368, 1707, 328, 254, 1026, 276, 533, 368, 3608, 282, 2411, 14, 286, 1582, 276, 8726, 343, 254, 1748, 1408, 327, 368, 403, 13382, 282, 1709, 282, 321, 16, 826, 476, 417, 756, 321, 3657, 42203, 324, 775, 390, 616, 14, 2228, 353, 1503, 321, 3657, 20990, 324, 368, 11380, 348, 327, 368, 403, 2731, 282, 867, 597, 633, 6949, 15, 1775, 2570, 16, 2028, 3089, 248, 997, 387, 248, 24998, 12558, 14, 368, 872, 282, 1852, 327, 1707, 328, 633, 5266, 14, 248, 30711, 12558, 311, 13930, 248, 1479, 274, 3615, 4767, 286, 311, 7411, 624, 2156, 683, 417, 18632, 407, 11405, 6329, 16, 1795, 3975, 274, 1770, 286, 2185, 663, 1663, 561, 274, 1914, 12967, 254, 17266, 6437, 327, 596, 452, 282, 977, 1919, 1663, 2362, 1323, 286, 1242, 32725, 2626, 327, 28187, 248, 6685, 14486, 16, 2807, 5342, 273, 713, 248, 607, 18, 2476, 1026, 2779, 14, 1002, 2101, 14, 368, 1441, 2041, 282, 24473, 16313, 32651, 713, 4829, 5779, 959, 286, 28478, 254, 977, 1802, 888, 713, 10334, 785, 7103, 327, 633, 6329, 6844, 587, 2874, 343, 14, 387, 254, 1062, 1824, 14, 248, 10431, 274, 254, 32725, 11889, 16, 4539, 512, 254, 7589, 274, 3686, 276, 30711, 8841, 14, 407, 2019, 254, 944, 27641, 2443, 311, 327, 353, 17329, 3032, 747, 1914, 16, 1395, 4955, 282, 321, 7017, 5503, 282, 19504, 248, 3954, 286, 28490, 282, 2342, 4653, 286, 9865, 14, 533, 1503, 2408, 1789, 747, 34556, 282, 9565, 10089, 7051, 5022, 286, 14874, 276, 1361, 9633, 16, 2028, 436, 1623, 311, 5440, 24970, 324, 2996, 327, 555, 5035, 2084, 593, 1837, 324, 1125, 1125, 1090, 282, 3217, 276, 888, 615, 6995, 282, 27919, 974, 596, 1041, 2056, 368, 14, 353, 7573, 311, 3061, 248, 9366, 5360, 12454, 683, 30023, 282, 3051, 758, 254, 5255, 12570, 274, 254, 11264, 286, 7212, 29215, 387, 272, 276, 15, 14900, 3925, 16, 330, 5758, 274, 276, 248, 13347, 2476, 1026, 1683, 14, 353, 434, 1841, 282, 452, 248, 2591, 5157, 1464, 286, 7798, 343, 1794, 1770, 286, 2185, 1525, 248, 5081, 274, 15569, 16, 188, 38818, 7589, 274, 22454, 1089, 8832, 16540, 1260, 5012, 432, 254, 15645, 4132, 14, 248, 24998, 1683, 311, 3837, 1181, 811, 747, 248, 2951, 327, 7526, 34257, 254, 7825, 15552, 8285, 17845, 16992, 328, 580, 1748, 1116, 830, 29250, 363, 1688, 311, 8610, 286, 669, 254, 9259, 282, 1663, 888, 282, 254, 4603, 8304, 5157, 1464, 327, 4279, 580, 1748, 888, 959, 713, 254, 2211, 274, 254, 6685, 6071, 1444, 254, 642, 1116, 16, 3730, 457, 85, 248, 16032, 328, 254, 12495, 2675, 7589, 47013, 276, 254, 1914, 4466, 2449, 939, 254, 30711, 9648, 16, 11364, 248, 3073, 28, 3845, 286, 8398, 5585, 774, 321, 254, 13494, 286, 4236, 274, 19784, 4061, 407, 811, 248, 30711, 3686, 1683, 16, 1260, 3402, 348, 2996, 12450, 266, 432, 10089, 5226, 8813, 286, 5628, 10089, 21429, 407, 2034, 274, 4479, 17130, 2766, 19536, 14, 353, 311, 2602, 9308, 254, 32056, 942, 3673, 513, 417, 1619, 729, 11028, 1595, 713, 665, 1479, 274, 2002, 281, 2178, 533, 476, 1916, 41549, 2435, 286, 1619, 254, 19784, 387, 5274, 16, 1260, 15028, 348, 254, 33592, 13455, 5686, 4424, 14, 254, 3278, 671, 671, 2114, 324, 533, 272, 1999, 4279, 282, 3351, 276, 248, 30711, 390, 7462, 1903, 2779, 311, 1241, 282, 2712, 248, 1603, 2524, 387, 254, 944, 16, 380, 7462, 1903, 1683, 3351, 311, 9377, 1544, 353, 4279, 4073, 8441, 324, 17246, 7160, 16, 380, 948, 311, 436, 1623, 311, 580, 274, 254, 3505, 3357, 274, 254, 30711, 3686, 9648, 14, 282, 5559, 254, 2766, 1903, 274, 254, 15708, 16, 23901, 254, 5062, 18522, 10596, 16418, 274, 755, 71, 286, 5395, 2531, 3415, 328, 254, 25645, 282, 1041, 2056, 327, 5139, 274, 836, 311, 19122, 665, 31644, 33813, 390, 12022, 665, 624, 16, 380, 1527, 4305, 274, 5585, 960, 254, 7160, 1683, 16992, 650, 321, 254, 3979, 274, 5098, 16, 2028, 272, 31644, 390, 272, 23436, 29688, 9470, 276, 254, 3758, 274, 254, 19784, 1213, 14, 345, 311, 276, 248, 1350, 4414, 830, 345, 555, 46118, 1002, 254, 1824, 2332, 274, 5846, 274, 520, 3258, 1464, 16, 496, 819, 5819, 254, 44650, 12287, 3858, 248, 1110, 561, 274, 12209, 23420, 4414, 830, 580, 274, 254, 944, 1330, 3360, 276, 254, 19064, 8631, 476, 2759, 20411, 24970, 1508, 328 ]

[ 1, 86, 872, 282, 3236, 324, 272, 769, 12899, 2114, 666, 390, 769, 5318, 3407, 666, 282, 751, 1438, 16, 1547, 476, 17065, 772, 2896, 2456, 286, 3017, 23850, 328, 615, 2349, 16, 188, 20, 11, 1180, 8136, 286, 2318, 330, 36305, 14, 360, 1674, 432, 370, 23, 18, 18, 77, 282, 370, 23, 2945, 14, 1862, 729, 2218, 282, 254, 32448, 4994, 14, 286, 785, 343, 729, 939, 10192, 16, 188, 1843, 1205, 436, 311, 254, 2025, 2522, 14, 360, 669, 2780, 276, 9888, 772, 1193, 4653, 16, 10789, 8549, 872, 1015, 1789, 387, 1015, 2008, 14, 593, 360, 34856, 254, 13716, 58, 2705, 1707, 328, 248, 32431, 457, 872, 16, 826, 311, 254, 2169, 274, 18334, 5715, 360, 457, 70, 452, 2980, 670, 360, 497, 4832, 4273, 16, 188, 6128, 747, 254, 11535, 36305, 360, 1674, 276, 14, 360, 587, 1920, 44239, 286, 4400, 9773, 834, 16, 380, 3585, 28760, 311, 1582, 272, 4360, 16, 188, 510, 671, 311, 1012, 282, 1767, 843, 8213, 2317, 751, 14199, 1849, 417, 811, 276, 254, 1564, 274, 32431, 3622, 14, 532, 669, 276, 254, 1564, 274, 254, 2774, 3015, 286, 254, 4022, 4631, 360, 3373, 16, 188, 1853, 248, 3015, 14, 772, 2472, 328, 254, 1499, 3798, 311, 1480, 1247, 14, 286, 772, 2365, 3373, 4417, 1480, 1017, 282, 513, 4859, 16, 188, 17921, 11267, 4443, 311, 580, 274, 33140, 10663, 457, 85, 30816, 9804, 276, 3017, 286, 2896, 2456, 16, 750, 457, 85, 248, 1694, 15, 2523, 10112, 22966, 14, 286, 248, 36343, 274, 2525, 15, 19818, 3106, 14, 248, 17, 68, 5022, 14, 23807, 39295, 14, 9645, 8899, 14, 286, 34639, 642, 3017, 5445, 16, 188, 50, 16149, 41111, 311, 254, 815, 15, 30320, 286, 5444, 348, 11413, 274, 1501, 336, 570, 14, 580, 274, 2966, 457, 85, 944, 44830, 2703, 29272, 14, 432, 38121, 1863, 695, 23583, 343, 1472, 408, 320, 276, 374, 18, 19, 23, 387, 248, 370, 21, 16, 23, 6320, 28534, 16, 750, 369, 669, 328, 254, 22822, 2214, 274, 1364, 15075, 16, 679, 533, 369, 9043, 407, 20197, 22961, 17, 53, 358, 251, 45015, 324, 687, 370, 19, 378, 2146, 16, 188, 41, 31810, 43290, 15, 1212, 737, 311, 580, 274, 4990, 457, 85, 1708, 12591, 14, 248, 763, 15, 2523, 11413, 14, 286, 10112, 14794, 16, 750, 311, 254, 815, 15, 30320, 274, 9956, 86, 11506, 14, 533, 369, 9043, 407, 4002, 41162, 1209, 42762, 1020, 324, 370, 22, 16, 22, 378, 2146, 16, 0, 1128, 7109, 21400, 9852, 311, 18415, 282, 1093, 663, 5565, 282, 1916, 615, 1193, 1683, 16, 1268, 272, 7109, 21400, 9852, 311, 417, 2696, 276, 254, 1057, 1026, 348, 248, 2546, 4987, 390, 3532, 9852, 670, 368, 889, 248, 9595, 21400, 16, 188, 1128, 7109, 21400, 311, 2840, 348, 248, 1408, 663, 20534, 615, 1193, 1683, 328, 615, 2575, 14, 286, 663, 1042, 417, 2120, 248, 3532, 7771, 16, 25147, 476, 2411, 272, 7109, 21400, 532, 626, 403, 1015, 9347, 867, 561, 324, 1004, 1350, 274, 6789, 16, 11648, 633, 1350, 2142, 6093, 368, 1339, 4503, 324, 248, 9404, 286, 276, 688, 2957, 3316, 272, 7109, 21400, 2211, 16, 188, 1516, 311, 580, 274, 254, 944, 1726, 7589, 274, 254, 1213, 16, 839, 476, 3831, 597, 282, 719, 18, 7, 274, 254, 980, 2703, 1294, 274, 633, 1683, 324, 272, 7109, 21400, 9852, 16, 24896, 276, 2482, 2101, 14, 327, 39900, 513, 818, 21089, 4457, 282, 633, 4987, 18550, 16, 1180, 1610, 14, 603, 254, 2194, 24415, 324, 254, 2133, 368, 403, 3532, 311, 370, 20, 23, 18, 14, 18, 18, 18, 688, 10624, 587, 818, 272, 2982, 374, 18, 7, 282, 1545, 324, 21089, 4457, 16, 826, 2034, 596, 587, 5307, 248, 1916, 2042, 274, 370, 21, 18, 18, 14, 18, 18, 18, 28, 436, 555, 254, 1040, 274, 3509, 254, 18292, 368, 457, 619, 872, 16, 188, 2275, 3063, 27886, 10696, 42011, 15, 11712, 9247, 507, 33, 188, 36, 3008, 587, 756, 3603, 7852, 670, 596, 915, 2893, 6140, 328, 254, 1916, 16, 826, 2034, 327, 353, 457, 85, 1726, 282, 452, 7852, 2066, 282, 1336, 3084, 254, 2133, 14, 282, 4349, 4605, 348, 596, 403, 2961, 14, 324, 1610, 16, 188, 2148, 436, 1865, 14, 772, 7338, 311, 1845, 282, 6384, 248, 1157, 1245, 274, 2367, 7732, 282, 3709, 3532, 2893, 286, 21089, 4457, 16, 188, 1253, 6100, 380, 44872, 44981, 1860, 2253, 4066, 740, 42011, 15, 11712, 33, 188, 1982, 368, 1836, 282, 2035, 835, 368, 2035, 282, 1836, 16, 8783, 16481, 436, 944, 1726, 4659, 274, 254, 1213, 16, 7530, 561, 4414, 748, 368, 961, 432, 633, 743, 1683, 16, 23912, 2462, 1938, 276, 254, 1916, 587, 35570, 2982, 4665, 29, 368, 1038, 457, 86, 961, 282, 980, 597, 348, 580, 274, 2714, 21149, 457, 7109, 42507, 663, 6165, 561, 274, 2501, 16, 188, 5338, 457, 86, 10443, 328, 7036, 7980, 432, 42507, 14, 27592, 1318, 390, 34184, 432, 3732, 286, 1963, 16, 1395, 872, 282, 14036, 512, 7589, 274, 254, 4987, 3298, 286, 818, 248, 44860, 713, 836, 7980, 16, 1395, 1339, 1545, 324, 2042, 274, 2080, 14695, 348, 353, 807, 321, 719, 2524, 1863, 368, 2353, 1093, 4605, 390, 27592, 16, 1260, 248, 2025, 3954, 14, 818, 374, 18, 7, 348, 360, 452, 1582, 2378, 2254, 248, 1916, 6140, 387, 3132, 2042, 1091, 1582, 3, 188, 30347, 687, 7363, 476, 2226, 366, 254, 2042, 15895, 274, 7109, 3532, 276, 254, 801, 1619, 16, 5879, 563, 939, 512, 327, 3941, 33, 14414, 254, 10624, 774, 417, 27701, 368, 665, 624, 2501, 286, 368, 457, 619, 872, 282, 10443, 328, 1963, 390, 3732, 390, 3258, 14982, 16, 188, 1982, 368, 452, 641, 2705, 276, 254, 4987, 4351, 14, 403, 1851, 9916, 7363, 273, 14, 390, 3256, 452, 641, 2843, 748, 368, 403, 2430, 14, 360, 5419, 368, 1038, 457, 86, 2411, 286, 7109, 3145, 26213, 16, 1268, 603, 368, 452, 390, 368, 403, 3303, 282, 7109, 1916, 14, 360, 6865, 5419, 368, 7829, 272, 7109, 21400, 2211, 16, 188, 1516, 311, 3532, 254, 1640, 2342, 276, 254, 6234, 14, 4316, 327, 348, 272, 7109, 21400, 9852, 368, 872, 282, 4962, 248, 37753, 28534, 16, 2463, 486, 248 ]

[ 1, 1652, 1919, 432, 729, 888, 276, 254, 8020, 16, 188, 1590, 3885, 8739, 14, 345, 4313, 12745, 16, 5879, 1038, 457, 86, 368, 1141, 368, 457, 619, 1920, 775, 7518, 7439, 30954, 348, 254, 642, 33742, 9328, 1444, 16, 188, 1590, 4357, 14, 310, 1141, 368, 997, 1247, 343, 775, 16, 310, 457, 70, 1920, 775, 603, 310, 497, 368, 14, 532, 603, 368, 457, 251, 811, 417, 9587, 343, 775, 4895, 368, 933, 1076, 775, 1397, 7439, 2225, 343, 272, 17934, 10265, 16, 188, 4884, 748, 310, 1563, 33, 310, 476, 457, 86, 14190, 282, 254, 10450, 274, 7156, 3280, 272, 5224, 811, 282, 1076, 353, 248, 2065, 1938, 328, 254, 1076, 7213, 282, 254, 13571, 16, 731, 2427, 457, 86, 1041, 3177, 16, 8229, 650, 513, 327, 33, 2666, 401, 34810, 19599, 14, 327, 457, 85, 663, 16, 839, 457, 307, 643, 6841, 324, 2674, 890, 1090, 1012, 286, 3614, 701, 457, 85, 4378, 254, 580, 343, 254, 8691, 289, 18525, 447, 310, 2314, 616, 624, 286, 624, 1033, 1362, 16, 10770, 311, 616, 13957, 286, 3614, 1364, 802, 274, 616, 1464, 10916, 457, 86, 643, 3364, 310, 457, 307, 1582, 1815, 701, 369, 624, 5230, 683, 701, 311, 2966, 16, 1469, 457, 85, 248, 1247, 2174, 282, 5604, 286, 272, 12745, 4335, 282, 479, 16, 839, 8777, 2292, 286, 3387, 2292, 16, 839, 12175, 2292, 286, 563, 324, 1034, 13752, 2292, 16, 1469, 12695, 282, 1115, 5667, 343, 248, 5675, 286, 4277, 7883, 1930, 327, 310, 3217, 1683, 16, 310, 807, 3624, 248, 7803, 642, 1789, 603, 310, 573, 671, 314, 395, 254, 3621, 282, 2683, 481, 1334, 23250, 715, 310, 21729, 1469, 311, 13940, 286, 701, 457, 85, 618, 7383, 31121, 16, 0, 1130, 434, 272, 2843, 593, 1887, 353, 2674, 7629, 32950, 14, 1863, 368, 15467, 748, 353, 476, 513, 16, 188, 8465, 2871, 14, 670, 31327, 1405, 23448, 867, 561, 282, 23207, 254, 6311, 5212, 327, 18745, 742, 772, 3309, 11319, 374, 18, 20, 18, 1738, 1521, 2868, 14, 360, 4783, 4703, 248, 1283, 327, 46569, 441, 28, 769, 10847, 12393, 1738, 1397, 1585, 580, 1116, 14, 353, 16654, 248, 1612, 3770, 759, 91, 14, 254, 2169, 274, 7250, 2450, 22627, 3308, 327, 807, 1563, 3148, 286, 2631, 387, 254, 1057, 671, 16, 1585, 254, 642, 1116, 14, 436, 2774, 3309, 11319, 374, 18, 20, 18, 2133, 311, 9676, 282, 44841, 1034, 15, 1646, 20516, 7674, 282, 1738, 1521, 14, 254, 9104, 274, 1789, 327, 42366, 7185, 12406, 282, 321, 13283, 328, 3082, 274, 7919, 561, 2094, 15, 3818, 18774, 16, 16119, 665, 16427, 276, 1738, 1521, 321, 3248, 683, 254, 1887, 12086, 274, 7300, 328, 254, 8631, 33, 188, 510, 2443, 360, 457, 251, 17537, 2966, 5955, 248, 3055, 9932, 282, 254, 2843, 14, 1311, 1062, 1181, 248, 2784, 1631, 276, 254, 1321, 15, 14931, 1499, 16, 380, 1283, 769, 10847, 12393, 1738, 666, 1652, 248, 2169, 274, 7276, 7815, 276, 248, 374, 18, 19, 22, 9505, 81, 3737, 276, 380, 25864, 293, 14, 254, 4633, 1321, 15, 14931, 6521, 14, 286, 1544, 835, 555, 7078, 328, 387, 248, 1162, 274, 17877, 14, 43689, 276, 1733, 628, 407, 1564, 286, 2501, 432, 254, 32384, 413, 72, 7504, 6625, 16, 11166, 743, 348, 248, 1631, 14, 353, 457, 85, 4131, 328, 272, 11953, 327, 3032, 4607, 276, 29223, 28, 1395, 3256, 476, 457, 86, 2241, 668, 1910, 1738, 1269, 4536, 668, 254, 1619, 327, 7300, 3051, 16, 188, 510, 9791, 4535, 368, 476, 513, 276, 248, 1017, 15, 18666, 16310, 5035, 14, 7290, 16250, 33032, 276, 248, 11295, 286, 835, 13182, 348, 596, 39081, 3814, 615, 1612, 1499, 14, 311, 1129, 22807, 387, 4785, 4172, 286, 343, 5534, 10183, 348, 1910, 22993, 2277, 344, 4854, 286, 39145, 254, 20280, 16, 18130, 1919, 512, 254, 15030, 15, 526, 31394, 6752, 382, 25634, 286, 368, 457, 251, 1311, 1628, 343, 254, 41586, 5881, 14, 26360, 948, 327, 360, 457, 251, 6707, 254, 1619, 360, 3051, 14, 2156, 324, 254, 7007, 1111, 395, 353, 457, 85, 1034, 2391, 671, 282, 4533, 561, 811, 748, 360, 457, 251, 6707, 14, 843, 282, 28904, 254, 4577, 14, 286, 1002, 843, 282, 889, 772, 3520, 282, 1041, 353, 1755, 16, 188, 510, 7570, 1045, 7500, 282, 2173, 561, 248, 16688, 274, 254, 12387, 274, 6349, 1321, 1738, 939, 248, 32372, 9400, 16, 839, 12129, 14775, 1825, 361, 5746, 286, 5604, 32808, 14, 763, 32372, 15, 14931, 8381, 328, 7093, 8624, 85, 14, 282, 2173, 561, 248, 2169, 274, 9505, 81, 274, 615, 1193, 324, 254, 8788, 274, 32372, 1738, 1111, 395, 254, 7674, 353, 9117, 432, 248, 1499, 830, 8381, 286, 42366, 7185, 403, 2156, 17675, 276, 615, 1193, 2742, 375, 16, 18136, 1745, 10094, 2955, 24598, 1201, 79, 2866, 274, 16843, 2421, 286, 254, 8979, 12393, 4626, 20333, 5961, 248, 3379, 5353, 255, 274, 843, 1910, 1738, 6837, 328, 32372, 4719, 327, 360, 457, 251, 811, 4832, 282, 2033, 16, 188, 2943, 360, 2956, 8643, 1919, 387, 436, 2443, 14, 353, 3285, 1837, 282, 4533, 561, 748, 4759, 1848, 457, 86, 23204, 343, 32372, 1738, 14, 432, 9839, 7028, 282, 17510, 2642, 282, 22686, 16, 496, 948, 20418, 311, 580, 274, 254, 944, 9308, 38647, 276, 254, 975, 14, 5346, 417, 756, 324, 254, 2653, 360, 5838, 532, 248, 5534, 2332, 274, 748, 6395, 282, 772, 2575, 14, 324, 1755, 390, 7007, 16, 496, 248, 3555, 24912, 327, 457, 85, 348, 20369, 348, 353, 311, 39383, 14, 31327, 1405, 23448, 1270, 20418, 12376, 7321, 6558, 35497, 359, 6449, 15, 11695, 469, 8775, 248, 1612, 15, 4165, 17558, 251, 274, 10666, 663, 403, 29301, 327, 772, 18929, 403, 14, 21184, 1923, 315, 14, 7353, 1637, 5660, 894, 780, 687, 671, 1111, 395, 10718, 6143, 20659, 276, 254, 10542, 311, 628, 274, 254, 1865, 2075, 16, 3928, 24625, 34742, 26419, 252, 14, 669, 328, 254, 20418, 2214, 14, 34900, 248, 2560, 743, 11409, 324, 40379, 2371, 8597, 1111, 395, 254, 3526, 286, 8698, 7674, 327, 1041, 353, 1837, 324, 1403, 398, 282, 5129, 16, 188, 2148, 248, 3055, 15643, 328, 254, 32372, 1631, 14, 360, 3831, 2537, 20369, 9311, 328, 695, 12387, 286, 2365 ]

[ 1, 19753, 2218, 13130, 282, 5256, 327, 368, 5485, 432, 11758, 20288, 16, 1822, 274, 772, 6211, 403, 4376, 407, 254, 310, 36255, 5734, 457, 85, 10800, 841, 15, 42422, 8920, 14, 533, 3672, 5427, 23170, 5939, 2497, 286, 17823, 4105, 362, 507, 14, 16762, 597, 343, 772, 1193, 28515, 286, 5247, 4105, 26211, 16, 0, 510, 14894, 610, 591, 274, 254, 8767, 6934, 10663, 774, 417, 321, 7728, 683, 41389, 23146, 303, 1604, 390, 321, 2041, 282, 25530, 9819, 8952, 276, 248, 1956, 2937, 14, 532, 596, 8494, 254, 2155, 13580, 7937, 274, 9787, 254, 14463, 1205, 1527, 615, 13331, 16, 188, 3350, 1362, 14, 4597, 1469, 71, 5418, 311, 248, 10842, 15, 1318, 24631, 6571, 391, 746, 9115, 636, 324, 4013, 10663, 2357, 896, 6104, 272, 10136, 570, 6571, 38262, 967, 276, 580, 1733, 21689, 1362, 841, 1362, 16, 2807, 2286, 14, 345, 35806, 85, 3183, 14, 960, 353, 282, 324, 463, 4995, 1111, 37527, 9927, 1111, 14400, 20550, 46187, 16, 188, 4, 1982, 248, 1408, 311, 3256, 248, 11811, 286, 596, 1441, 1045, 324, 248, 8621, 14, 360, 1038, 625, 2156, 9709, 597, 248, 7621, 286, 1074, 561, 310, 1328, 624, 683, 248, 42365, 2020, 928, 1469, 71, 5418, 749, 16, 347, 510, 24292, 14, 2228, 14, 248, 1162, 274, 729, 452, 2584, 254, 671, 282, 2941, 668, 748, 310, 513, 449, 188, 510, 19245, 21748, 311, 2631, 743, 282, 1469, 71, 5418, 16, 2646, 1438, 282, 1416, 2079, 276, 4851, 14, 1469, 71, 5418, 286, 688, 7512, 1416, 3371, 4255, 282, 26803, 286, 9656, 282, 1242, 272, 1416, 19147, 16, 188, 4, 2686, 4104, 4598, 928, 345, 749, 16, 347, 2686, 434, 670, 310, 6139, 310, 807, 14430, 16637, 449, 188, 2899, 71, 5418, 11652, 16637, 387, 254, 610, 11123, 361, 16758, 30835, 328, 11194, 5555, 276, 254, 2318, 338, 27, 25, 18, 85, 14, 669, 11295, 89, 3708, 286, 2367, 348, 248, 3640, 4277, 387, 25373, 88, 26724, 434, 2362, 254, 6234, 16, 2936, 1362, 7180, 1544, 452, 643, 12495, 286, 1125, 14, 1648, 248, 7261, 15, 2823, 45572, 348, 248, 18494, 286, 26134, 29418, 324, 254, 2010, 6355, 3801, 21869, 434, 7258, 16, 188, 2976, 254, 1205, 14, 345, 369, 3939, 273, 520, 10786, 16, 750, 11115, 520, 2485, 14, 36307, 15, 41, 674, 1180, 463, 286, 16802, 693, 319, 14, 276, 338, 27, 25, 24, 14, 6350, 715, 36605, 248, 5114, 1581, 327, 1012, 3672, 4013, 10663, 2357, 16, 286, 3928, 68, 13883, 14, 14794, 274, 254, 13883, 286, 2357, 16, 23167, 2200, 7935, 4171, 16, 188, 17921, 14419, 14, 248, 26009, 9301, 324, 8426, 13990, 1318, 10814, 398, 14, 311, 1495, 17328, 636, 3686, 248, 3893, 1464, 16, 330, 1827, 15, 24757, 347, 19346, 569, 21801, 42234, 928, 14419, 555, 16186, 14574, 3859, 343, 26009, 8645, 324, 2674, 338, 23, 1090, 14, 4731, 276, 748, 345, 7980, 282, 321, 374, 18, 1015, 10328, 1285, 327, 671, 16, 188, 4, 24989, 555, 1582, 1623, 4936, 254, 14463, 928, 345, 749, 16, 188, 37, 5748, 8645, 1111, 67, 10578, 345, 6139, 432, 520, 3282, 1111, 73, 1106, 775, 248, 11785, 14, 12180, 9863, 286, 248, 1026, 282, 1041, 7435, 2445, 16, 1268, 345, 749, 254, 19245, 21748, 869, 843, 942, 3669, 282, 775, 348, 248, 26009, 9301, 286, 248, 42234, 311, 13260, 14, 2101, 353, 369, 624, 593, 670, 345, 369, 3686, 276, 8514, 9496, 16, 188, 4, 1982, 368, 9317, 4684, 348, 248, 42234, 1111, 4568, 14, 310, 2674, 1582, 513, 14, 974, 327, 434, 417, 843, 310, 1041, 618, 2501, 16, 543, 1931, 63, 353, 434, 8418, 14, 254, 2967, 449, 188, 38473, 749, 254, 1770, 345, 2893, 343, 387, 8426, 13990, 1318, 403, 9600, 670, 596, 1074, 561, 345, 6933, 254, 26347, 16, 380, 2306, 311, 1002, 624, 9307, 670, 596, 915, 775, 276, 2181, 14, 345, 749, 14, 819, 348, 670, 345, 6933, 387, 254, 15858, 44825, 6297, 3393, 276, 30455, 39198, 14, 830, 1125, 274, 520, 815, 15, 25820, 563, 282, 10087, 526, 16, 188, 4, 510, 9704, 476, 321, 3837, 11437, 928, 345, 749, 14, 12575, 729, 348, 347, 34163, 286, 33097, 449, 188, 4, 3602, 1441, 811, 28502, 301, 3353, 14, 843, 310, 1328, 2041, 282, 513, 1081, 1789, 928, 345, 749, 16, 188, 20188, 254, 2967, 311, 417, 593, 13260, 16, 1180, 16098, 2038, 34139, 14, 37372, 347, 47901, 928, 42913, 1890, 387, 1502, 262, 2290, 20922, 10715, 9, 276, 610, 11123, 361, 286, 4731, 16354, 276, 1922, 3833, 34853, 25219, 5103, 282, 563, 1116, 276, 1116, 16, 1678, 14, 345, 749, 14, 345, 11098, 248, 2967, 276, 843, 942, 7858, 282, 775, 276, 520, 1015, 9253, 16, 188, 4, 2943, 368, 1441, 4731, 3327, 14, 942, 1038, 625, 1519, 368, 747, 368, 1441, 9169, 729, 928, 345, 749, 16, 347, 1130, 434, 1311, 2169, 274, 9169, 942, 14, 532, 353, 434, 276, 248, 1015, 7928, 449, 188, 6004, 5139, 274, 729, 961, 282, 1862, 597, 615, 2286, 4701, 14, 254, 1770, 5041, 327, 626, 403, 11057, 282, 1129, 14894, 12456, 1285, 254, 1362, 16, 188, 4, 2432, 403, 624, 38612, 683, 626, 403, 7674, 928, 2038, 34139, 749, 14, 6069, 327, 345, 14131, 1129, 248, 42913, 3010, 16, 347, 1130, 434, 417, 254, 1057, 2115, 1033, 1362, 16, 21778, 14, 368, 1441, 2328, 16727, 14, 532, 3997, 311, 1015, 14, 3233, 276, 248, 3748, 747, 436, 16, 1664, 403, 688, 4576, 6109, 449, 188, 5934, 34139, 749, 345, 669, 4504, 254, 4954, 282, 1862, 520, 3833, 688, 28895, 14, 2328, 2056, 12587, 286, 24292, 19038, 865, 254, 11947, 274, 34853, 25219, 434, 1689, 13958, 16, 188, 2148, 1469, 71, 5418, 14, 2367, 254, 6571, 391, 746, 4107, 775, 248, 2591, 19001, 345, 1503, 417, 4859, 452, 16, 188, 4, 3116, 2072, 13891, 282, 3437, 479, 276, 254, 8745, 407, 4128, 928, 345, 749, 16, 188, 1931, 387, 254, 391, 746, 14, 345, 476, 4540, 343, 520, 815, 15, 25820, 348, 963, 348, 38917, 12587, 1111, 10117, 19321, 1591, 19669, 14, 5054, 1469, 71, 5418, 8405, 348, 7512, 10563, 16, 188, 4, 43, 1328, 276, 33097, 274, 729, 928, 345, 749, 14, 6069, 327, 345, 8775, 729, 28795, 16, 188 ]

[ 1, 188, 536, 6161, 1420, 7915, 1146, 18608, 28, 43180, 477, 1146, 13723, 18081, 28, 3612, 8002, 188, 188, 536, 6161, 7382, 28, 3237, 388, 1404, 281, 653, 74, 1404, 281, 76, 34, 22903, 16, 679, 32, 188, 31311, 188, 2855, 261, 35545, 283, 188, 2855, 35553, 188, 2855, 4249, 602, 16, 18293, 188, 188, 2855, 254, 4548, 188, 2855, 254, 4548, 16, 25239, 348, 26001, 188, 3933, 254, 4548, 16, 25239, 16, 18326, 65, 14317, 297, 9518, 1369, 19627, 988, 9518, 188, 188, 3933, 4249, 602, 16, 27298, 16, 18730, 16, 14728, 35093, 1369, 16769, 35093, 188, 188, 2360, 7479, 81, 2116, 21478, 35093, 10, 21478, 35093, 2192, 477, 11916, 1516, 311, 248, 27728, 5314, 2617, 324, 956, 954, 1395, 573, 1755, 3510, 248, 1491, 580, 16, 14973, 11916, 477, 804, 4623, 4338, 21257, 1262, 14, 14395, 14, 296, 65, 250, 14, 296, 65, 483, 31, 19, 18, 18, 14, 210, 1170, 5578, 31, 4350, 16, 80, 2929, 16, 85, 14954, 1217, 14, 1170, 18709, 65, 17647, 31, 4350, 16, 80, 2929, 16, 85, 14954, 1217, 14, 1170, 14038, 5313, 16143, 15, 291, 9877, 1358, 1170, 411, 31, 11033, 14, 411, 65, 5824, 31, 11033, 14, 271, 31, 11033, 14, 271, 65, 5824, 31, 11033, 14, 210, 1170, 11996, 65, 41058, 31, 4937, 14, 1170, 16465, 65, 5097, 31, 18, 16, 21, 14, 1170, 418, 19, 65, 12497, 31, 18, 16, 18, 14, 418, 20, 65, 12497, 31, 18, 16, 18, 14, 8269, 65, 8406, 334, 31, 18, 16, 18, 14, 1170, 35735, 414, 65, 7625, 31, 11033, 14, 3340, 65, 1021, 1020, 414, 65, 7625, 31, 11033, 14, 1170, 391, 1229, 31, 80, 35629, 16, 14317, 16, 23612, 5283, 5550, 210, 1170, 254, 4548, 65, 84, 1229, 31, 11033, 2192, 647, 11916, 37987, 254, 3482, 274, 254, 7479, 81, 2116, 16769, 35093, 16, 647, 330, 7479, 81, 2116, 16769, 35093, 311, 272, 440, 34097, 1530, 327, 13792, 282, 14913, 647, 14038, 2160, 328, 3175, 343, 2982, 5876, 5447, 282, 254, 647, 1530, 16, 2621, 380, 5876, 12084, 20368, 742, 3175, 8289, 343, 248, 2110, 647, 5744, 16, 826, 311, 1015, 432, 248, 475, 11898, 483, 3609, 12, 5046, 14, 647, 830, 254, 475, 18508, 12, 8289, 403, 12084, 17108, 742, 16, 2621, 1146, 875, 14395, 28, 254, 4548, 16, 25239, 16, 38075, 2466, 647, 1146, 3457, 14395, 28, 323, 3332, 3312, 4629, 327, 1372, 7222, 11804, 254, 3175, 16990, 274, 254, 10066, 314, 71, 16, 73, 896, 580, 1039, 487, 1475, 274, 16990, 3175, 3762, 14, 390, 3340, 274, 248, 1985, 3703, 11, 45261, 1146, 875, 296, 65, 250, 28, 539, 647, 1146, 3457, 296, 65, 250, 28, 10771, 274, 3175, 4934, 14, 254, 7670, 274, 254, 2245, 13855, 276, 533, 254, 931, 2704, 3051, 2621, 1146, 875, 296, 65, 483, 28, 539, 647, 1146, 3457, 296, 65, 483, 28, 380, 1162, 274, 8535, 4934, 16, 23881, 1146, 875, 5578, 28, 254, 4548, 16, 25239, 16, 32287, 2925, 16, 38276, 2925, 647, 1146, 3457, 5578, 28, 380, 14163, 414, 3608, 387, 22837, 19780, 3340, 16, 16990, 647, 1146, 875, 411, 28, 254, 4548, 16, 25239, 16, 18326, 1984, 16, 38075, 29835, 23051, 647, 1146, 3457, 411, 28, 380, 4548, 4629, 13091, 282, 248, 867, 274, 13094, 327, 933, 8710, 321, 5926, 869, 254, 6574, 35093, 286, 1495, 10066, 29, 8710, 603, 6574, 35093, 933, 321, 38900, 14, 3437, 436, 348, 8037, 16, 8710, 826, 867, 274, 13094, 10487, 282, 254, 5342, 432, 7775, 8710, 282, 8535, 3703, 16, 23881, 1146, 875, 411, 65, 5824, 28, 254, 4548, 16, 25239, 16, 18326, 1984, 16, 38075, 29835, 23051, 647, 1146, 3457, 411, 65, 5824, 28, 380, 4548, 4629, 13091, 282, 248, 867, 274, 13094, 327, 3986, 933, 321, 5926, 869, 254, 6574, 35093, 286, 1495, 3986, 10066, 29, 603, 6574, 35093, 933, 321, 38900, 14, 3986, 3437, 436, 348, 8037, 16, 826, 867, 274, 13094, 10487, 282, 3986, 254, 5342, 432, 254, 8535, 282, 254, 7775, 3703, 16, 17602, 647, 1146, 875, 271, 28, 254, 4548, 16, 25239, 16, 18326, 1984, 16, 38075, 29835, 23051, 647, 1146, 3457, 271, 28, 380, 4548, 4629, 13091, 282, 248, 867, 274, 8269, 2127, 327, 8710, 933, 321, 5926, 869, 254, 6574, 35093, 286, 1495, 8710, 10066, 29, 603, 6574, 35093, 933, 321, 38900, 14, 8710, 3437, 436, 348, 8037, 16, 826, 867, 274, 8269, 2127, 10487, 8710, 282, 254, 5342, 432, 7775, 282, 8535, 3703, 16, 210, 15088, 647, 1146, 875, 271, 65, 5824, 28, 254, 4548, 16, 25239, 16, 18326, 1984, 16, 38075, 29835, 23051, 647, 1146, 3457, 271, 65, 5824, 28, 380, 4548, 4629, 13091, 282, 248, 867, 274, 8269, 2127, 3986, 327, 933, 321, 5926, 869, 254, 6574, 35093, 286, 3986, 1495, 10066, 29, 603, 6574, 35093, 933, 321, 210, 3986, 38900, 14, 3437, 436, 348, 8037, 16, 826, 867, 274, 8269, 3986, 2127, 10487, 282, 254, 5342, 432, 7775, 282, 210, 3986, 8535, 3703, 16, 210, 17602, 647, 1146, 875, 11996, 65, 41058, 28, 7108, 647, 1146, 3457, 11996, 65, 41058, 28, 1286, 11475, 314, 6799, 581, 5457, 411, 65, 5824, 426, 411, 16, 54, 14, 883, 16, 71, 16, 19516, 254, 7775, 15, 18508, 9016, 286, 254, 19516, 8535, 15, 22066, 9016, 889, 254, 1057, 19516, 13094, 16, 18238, 647, 1146, 875, 16465, 65, 5097, 28, 254, 4548, 16, 5238, 16, 9346, 58, 647, 1146, 3457, 16465, 65, 5097, 28, 5423, 1392, 254, 1245, 274, 3175, 16465, 28, 3158, 254, 5744, 327, 272, 3175, 22837, 434, 3158, 1294, 587, 321, 4092, 282, 470, 1285, 13408, 3158, 274, 8535, 1370, 568, 16, 2621, 1146, 875, 35735, 414, 65, 7625, 28, 8035, 647, 1146, 3457, 35735, 414, 65, 7625, 28, 380, 2232, 1563, 324, 3277, 16, 1286, 867, 14, 1454, 2175, 926, 248, 35735, 414, 12004, 28, 254, 45767, 22553, 274, 248, 3816, 1129, 1996, 742, 14, 926, 390, 328, 16, 2621, 1146, 875, 3340, 65, 1021, 1020, 414, 65, 7625, 28, 8035, 647, 1146, 3457, 3340, 65, 1021, 1020, 414, 65, 7625, 28, 380, 35735, 414, 2232, 324, 3340, 11086, 926, 3082, 274, 3277, 16, 2621, 1146, 875, 418, 19, 65, 12497, 28, 8035, 647, 1146, 3457, 418, 19, 65, 12497, 28, 418 ]

[ 1, 324, 254, 23196, 16, 188, 7313, 1704, 91, 43820, 9039, 282, 10044, 624, 2107, 4139, 668, 254, 23196, 670, 19527, 3970, 387, 520, 47891, 3847, 1180, 463, 11485, 16, 380, 2004, 1601, 286, 5556, 1704, 91, 961, 7608, 457, 85, 16268, 282, 321, 248, 1972, 24164, 4687, 14, 417, 272, 36501, 2727, 9728, 4501, 274, 248, 23196, 327, 1125, 942, 452, 2102, 2254, 16, 188, 510, 7793, 254, 24164, 4687, 14, 254, 624, 29433, 5556, 1704, 91, 555, 16, 2807, 7608, 14, 345, 8219, 282, 321, 248, 12845, 274, 21918, 16, 188, 1590, 43, 457, 619, 3061, 5909, 345, 1106, 276, 254, 888, 14, 9118, 367, 2569, 1275, 476, 457, 86, 915, 479, 1756, 5556, 1704, 91, 749, 16, 188, 1982, 3762, 274, 254, 23196, 13214, 561, 2634, 282, 7608, 14, 254, 13214, 1856, 457, 86, 1663, 432, 5556, 1704, 91, 16, 1223, 1038, 457, 86, 14687, 15468, 407, 5556, 1704, 91, 457, 85, 11485, 282, 751, 248, 5087, 16, 380, 23196, 311, 417, 626, 14, 1129, 4783, 276, 272, 23214, 13410, 4189, 16, 188, 510, 36170, 311, 628, 274, 436, 4311, 2705, 324, 5556, 1704, 91, 14, 272, 31864, 7716, 286, 31813, 4704, 3680, 14, 663, 311, 248, 3442, 274, 254, 31864, 8498, 4347, 16, 750, 311, 9714, 274, 520, 785, 14, 286, 9714, 254, 2004, 1601, 4099, 2996, 432, 31864, 282, 2706, 248, 23196, 274, 248, 8766, 10374, 14, 580, 327, 311, 32543, 282, 321, 11263, 407, 9529, 324, 1090, 282, 1663, 16, 188, 7313, 1704, 91, 4168, 328, 436, 2133, 324, 338, 24, 2524, 14, 286, 254, 3360, 328, 775, 282, 2706, 1594, 2628, 369, 41586, 5881, 16, 380, 785, 311, 687, 16, 826, 8621, 14, 345, 587, 751, 254, 1321, 457, 85, 4733, 16, 188, 4921, 7993, 32433, 369, 628, 274, 254, 44324, 2705, 274, 2430, 436, 2133, 16, 1180, 5556, 1704, 91, 14, 254, 751, 15, 35386, 369, 512, 2072, 16, 750, 573, 3611, 6109, 668, 843, 1289, 16058, 32433, 369, 14, 286, 5556, 1704, 91, 2144, 343, 248, 1581, 274, 23758, 345, 2980, 432, 32433, 14, 593, 348, 417, 282, 7924, 520, 671, 16, 5556, 1704, 91, 749, 32433, 369, 4196, 26364, 286, 852, 1004, 16290, 12481, 19987, 14, 387, 580, 1110, 1002, 40832, 348, 603, 6134, 3108, 3925, 14, 13091, 286, 21275, 273, 3695, 22505, 16, 5556, 1704, 91, 7962, 345, 3428, 12161, 14, 4782, 7787, 282, 580, 274, 254, 13565, 457, 85, 512, 15, 2523, 6287, 1631, 37589, 16, 188, 7313, 1704, 91, 5441, 942, 282, 865, 254, 23196, 3470, 457, 86, 811, 520, 8641, 14, 532, 248, 1361, 3324, 16, 380, 23196, 369, 801, 2152, 276, 23497, 14, 1063, 353, 369, 2584, 282, 16041, 1191, 317, 47164, 3847, 5044, 276, 31864, 282, 321, 5094, 276, 25370, 16, 380, 23497, 23196, 369, 2541, 713, 338, 26, 1015, 7242, 16, 5650, 5158, 369, 835, 21319, 276, 25370, 14, 1063, 254, 25370, 23196, 369, 1649, 2292, 16, 188, 7313, 1704, 91, 369, 2102, 272, 4095, 16989, 264, 276, 31864, 14, 3569, 2893, 2408, 254, 19419, 399, 708, 44795, 431, 459, 324, 254, 31864, 11092, 14, 254, 15824, 258, 19320, 20104, 276, 2824, 274, 254, 37042, 3801, 46431, 14, 286, 254, 25370, 40815, 387, 254, 31864, 890, 17, 19, 19, 20104, 16, 188, 6264, 14, 626, 369, 3960, 7131, 324, 254, 32433, 2133, 432, 8624, 282, 8624, 16, 380, 2004, 1601, 19527, 775, 1241, 2008, 1063, 4782, 775, 254, 2545, 16, 6236, 254, 1213, 14, 5556, 1704, 91, 17752, 11006, 328, 942, 276, 254, 2004, 1601, 5833, 282, 751, 272, 10227, 997, 16, 188, 1590, 43, 457, 79, 374, 18, 2819, 432, 254, 2004, 1601, 457, 2488, 14, 286, 596, 497, 9845, 282, 1663, 407, 27546, 1756, 5556, 1704, 91, 749, 16, 769, 2943, 254, 6326, 5435, 749, 14, 2714, 2686, 32606, 12869, 3095, 282, 321, 4255, 248, 1612, 2298, 282, 254, 1628, 15491, 310, 4255, 353, 16, 310, 457, 79, 4864, 248, 2630, 15, 11772, 16, 1223, 327, 457, 85, 3901, 16, 4772, 276, 254, 980, 14, 310, 961, 353, 282, 321, 3834, 16, 1286, 327, 5326, 310, 573, 282, 1242, 687, 14, 310, 2956, 687, 16, 2666, 1390, 311, 1438, 328, 353, 16, 2666, 12332, 16, 188, 5125, 286, 687, 14, 5556, 1704, 91, 650, 1041, 4631, 328, 254, 33211, 14, 756, 282, 888, 13341, 670, 1594, 369, 417, 4414, 748, 345, 2980, 16, 188, 1982, 942, 1038, 457, 86, 747, 254, 6522, 1830, 14, 843, 587, 5556, 1704, 91, 7858, 33, 750, 3155, 327, 1897, 369, 3435, 14, 974, 345, 555, 1815, 668, 353, 2156, 16, 750, 749, 345, 650, 3687, 432, 520, 2705, 15910, 1416, 2079, 387, 15701, 314, 29685, 481, 188, 4630, 912, 311, 254, 756, 1408, 5556, 1704, 91, 25538, 5441, 282, 4356, 16, 1286, 2996, 555, 1635, 32433, 248, 34772, 35420, 274, 254, 6522, 1830, 14, 5556, 1704, 91, 311, 417, 6425, 274, 353, 16, 188, 2148, 327, 1865, 14, 670, 254, 247, 5748, 3144, 742, 254, 23196, 14, 5556, 1704, 91, 587, 997, 387, 254, 9287, 16, 750, 587, 997, 387, 32433, 14, 11213, 282, 915, 248, 8356, 16, 0, 20464, 282, 14713, 3663, 9796, 16, 3730, 368, 1782, 1074, 512, 254, 8930, 282, 665, 3418, 368, 774, 452, 668, 772, 743, 19923, 1426, 4360, 14, 1648, 254, 618, 40711, 781, 621, 286, 843, 282, 39957, 512, 633, 743, 5215, 16, 188, 1253, 1042, 14713, 3663, 9796, 2042, 33, 188, 1982, 368, 1441, 272, 5210, 17287, 14, 368, 1782, 8135, 751, 14713, 3663, 9796, 387, 641, 2982, 2042, 432, 7815, 16, 1180, 5210, 19923, 343, 3843, 2123, 8164, 14, 14713, 3663, 9796, 587, 3906, 282, 321, 248, 4196, 1903, 13924, 282, 633, 19923, 1426, 16, 188, 1253, 311, 743, 668, 14713, 3663, 9796, 33, 188, 1212, 457, 307, 2790, 624, 3956, 282, 5166, 14, 4892, 2790, 8555, 274, 9123, 2517, 286, 5493, 328, 254, 743, 286, 11535, 618, 40711, 781, 621, 282, 1336, 368, 1033, 1362, 14, 286, 328, 633, 1033, 9205, 16, 188, 5639, 310, 13621, 618, 12699, 10480, 387, 665, 671, 33, 188, 20192, 417, 16, 3397, 274, 1129, 248, 15146, 18603, 2034, 327, 14713, 3663, 19923, 1426, 311, 248, 5758, 338, 20, 1722, 3203, 16, 1268, 254 ]

[ 1, 328, 14925, 578, 418, 317, 1344, 5804, 314, 20, 22, 15, 20, 15, 20, 14, 374, 20, 581, 432, 34193, 16, 826, 311, 272, 4576, 3637, 597, 328, 2838, 14, 286, 3614, 418, 317, 1344, 5804, 14, 663, 311, 1873, 348, 769, 7507, 7113, 2273, 7324, 555, 3542, 520, 944, 16154, 271, 8128, 520, 1575, 1042, 997, 14493, 286, 807, 321, 1062, 19680, 324, 354, 19549, 727, 16, 188, 686, 254, 5427, 7262, 587, 915, 254, 1076, 282, 254, 5653, 274, 5237, 4043, 655, 1888, 3010, 20559, 314, 20, 15, 18, 14, 374, 11, 663, 4313, 324, 520, 2543, 4800, 4656, 377, 486, 3223, 348, 345, 3809, 328, 5604, 293, 8086, 2255, 250, 727, 314, 25, 15, 25, 14, 338, 481, 1585, 2838, 436, 311, 14, 407, 2019, 14, 254, 944, 5022, 23167, 274, 20559, 434, 5095, 14, 2228, 327, 434, 417, 3853, 1181, 286, 360, 1038, 625, 1847, 20559, 282, 1623, 2654, 248, 16577, 1045, 1385, 248, 30380, 753, 16406, 663, 555, 1856, 811, 580, 274, 520, 1364, 607, 271, 8128, 16, 188, 39898, 7796, 35539, 2527, 29280, 466, 11813, 42493, 6677, 10237, 314, 19, 24, 15, 18, 14, 338, 20, 11, 587, 321, 10601, 282, 254, 5653, 282, 3906, 520, 5095, 14, 286, 3694, 324, 254, 576, 394, 671, 436, 802, 16, 45962, 387, 254, 671, 274, 3899, 520, 16406, 10916, 625, 643, 4756, 14, 2101, 353, 434, 11231, 282, 321, 3655, 5022, 324, 254, 35539, 2527, 663, 555, 13098, 688, 1062, 3972, 9997, 276, 520, 1364, 495, 38319, 16, 839, 1038, 625, 747, 6349, 18851, 31186, 593, 360, 403, 11213, 327, 276, 374, 18, 19, 24, 42493, 6677, 10237, 587, 3109, 520, 7131, 597, 2499, 683, 811, 769, 297, 16480, 9734, 666, 348, 345, 555, 2152, 3970, 16, 188, 686, 254, 21401, 7262, 751, 254, 4688, 282, 915, 1495, 45034, 14615, 35539, 2527, 10803, 276, 2181, 348, 374, 20, 802, 1668, 19175, 6534, 28815, 37676, 418, 2478, 28789, 314, 26, 15, 18, 14, 607, 11, 3809, 328, 9539, 47850, 20936, 14517, 262, 7820, 314, 19, 19, 15, 26, 15, 19, 14, 576, 481, 1585, 2838, 353, 434, 1837, 282, 699, 1385, 418, 2478, 28789, 2228, 14517, 262, 7820, 311, 1755, 683, 520, 1868, 5767, 286, 555, 11374, 13623, 85, 1385, 254, 12695, 274, 12399, 445, 22311, 43154, 286, 17362, 45348, 418, 2588, 267, 262, 14, 16222, 669, 9375, 254, 5653, 343, 1499, 956, 20371, 14, 747, 8149, 35409, 286, 5469, 6307, 47559, 42037, 16, 826, 311, 248, 1181, 1755, 3694, 254, 5694, 1754, 16, 188, 686, 8753, 7262, 587, 751, 254, 4688, 282, 915, 3326, 1499, 3929, 5527, 427, 3126, 44023, 47942, 314, 22, 15, 19, 14, 374, 11, 1354, 328, 7479, 16421, 1569, 3779, 16409, 314, 18, 15, 19, 481, 826, 311, 44023, 47942, 434, 801, 23167, 1544, 10036, 282, 740, 494, 36740, 478, 276, 248, 23167, 324, 254, 411, 6155, 5186, 40934, 6534, 3929, 14, 888, 276, 4028, 16, 9673, 254, 2863, 14, 286, 254, 948, 436, 311, 616, 801, 23167, 3238, 274, 13798, 10297, 14, 353, 434, 1837, 282, 915, 44023, 47942, 10036, 282, 427, 3126, 16, 188, 19026, 338, 24, 394, 15, 59, 14576, 10297, 804, 1682, 1385, 17542, 408, 267, 14, 309, 1781, 7157, 24619, 11082, 85, 14, 26351, 1345, 11110, 286, 30707, 359, 478, 87, 2377, 5062, 1037, 395, 624, 3, 188, 8209, 254, 1722, 555, 643, 14584, 593, 2019, 1789, 1623, 3034, 282, 2536, 597, 687, 254, 1689, 2065, 390, 2950, 16, 3397, 274, 327, 311, 1899, 282, 248, 4523, 274, 15483, 2636, 276, 13798, 10297, 16, 380, 801, 311, 2966, 16222, 1495, 3144, 719, 1842, 1938, 16, 188, 510, 18433, 13798, 10297, 913, 311, 254, 801, 1623, 1887, 2659, 31823, 913, 274, 374, 18, 19, 23, 286, 353, 1623, 1042, 452, 248, 2298, 274, 3148, 16, 380, 1964, 2288, 3277, 580, 274, 254, 8766, 23861, 5259, 13210, 16222, 254, 758, 9045, 3277, 3989, 13694, 265, 21413, 14, 286, 11082, 1086, 14, 1648, 254, 11082, 274, 248, 636, 2692, 282, 751, 624, 3983, 683, 624, 7212, 20371, 16, 188, 510, 913, 3672, 2006, 11082, 1086, 2101, 254, 944, 16154, 311, 18568, 8451, 309, 1781, 7157, 24619, 314, 18, 15, 18, 11, 254, 1250, 3240, 274, 254, 1247, 7960, 469, 9153, 309, 1781, 7157, 24619, 16, 3996, 345, 434, 756, 248, 11082, 386, 18568, 8451, 311, 3159, 282, 751, 248, 2187, 274, 3983, 286, 1002, 5415, 671, 14, 5582, 254, 948, 345, 434, 8389, 254, 1062, 3972, 309, 2866, 81, 310, 1089, 67, 314, 19, 15, 20, 11, 276, 248, 23167, 327, 1623, 19185, 1181, 1564, 16, 1180, 18568, 8451, 1129, 520, 3282, 434, 3240, 807, 321, 248, 3893, 1381, 2325, 13841, 16, 750, 587, 751, 248, 2187, 274, 3983, 286, 353, 807, 1336, 520, 5095, 14, 532, 345, 1782, 669, 452, 942, 10657, 775, 282, 520, 3282, 286, 16300, 775, 282, 321, 1755, 683, 345, 3061, 311, 16, 188, 35, 624, 4576, 11082, 432, 561, 1431, 1110, 311, 327, 274, 1572, 87, 5804, 12607, 11617, 314, 18, 15, 18, 11, 663, 2350, 607, 22, 15, 26, 276, 254, 26784, 16729, 286, 311, 3396, 315, 38847, 348, 248, 636, 282, 3575, 16, 380, 374, 19, 802, 1668, 12607, 11617, 587, 321, 39835, 1385, 367, 14316, 542, 19905, 367, 30871, 314, 18, 15, 18, 11, 276, 248, 719, 391, 9850, 16, 3996, 1081, 1770, 403, 11082, 1086, 353, 434, 4204, 282, 1309, 12607, 11617, 587, 1242, 348, 254, 1887, 17555, 286, 688, 403, 247, 7984, 775, 348, 248, 1499, 16460, 276, 254, 2328, 16, 188, 7979, 3989, 13694, 265, 10803, 328, 436, 3021, 311, 28231, 26351, 1345, 11110, 314, 23, 15, 18, 14, 576, 11, 663, 4313, 282, 3906, 520, 3834, 1242, 348, 345, 19706, 15785, 21483, 13280, 331, 1345, 4280, 314, 27, 15, 21, 14, 495, 481, 26351, 1345, 11110, 311, 11923, 1062, 3989, 286, 520, 6122, 561, 3223, 1385, 500, 74, 329, 18838, 9493, 2726, 2607, 811, 843, 1181, 12464, 345, 555, 14, 2101, 360, 403, 11213, 282, 915, 775, 5597, 1045, 248, 1612, 2298, 407, 254, 10187, 331, 1345, 4280, 16, 188, 7979, 13694, 265, 10803, 328, 436, 3021, 311, 309, 32802, 5804, 30707, 359, 478, 87, 314, 19, 20, 15, 18 ]

[ 1, 248, 3316, 4358, 16, 731, 457, 85, 4848, 282, 1309, 327, 343, 512, 254, 785, 254, 2784, 25754, 311, 2328, 14, 254, 756, 1026, 324, 775, 311, 597, 16, 0, 11988, 5867, 5267, 16046, 28188, 8404, 14583, 432, 38083, 282, 13900, 286, 751, 906, 20375, 16771, 34109, 328, 712, 28581, 16, 679, 16, 28017, 26823, 7702, 286, 751, 254, 8612, 2257, 17426, 328, 5867, 5267, 16046, 28188, 432, 38083, 282, 13900, 16, 3497, 6214, 14, 286, 9747, 8418, 5961, 328, 5867, 5267, 16046, 28188, 20199, 432, 38083, 282, 13900, 16, 188, 3912, 274, 254, 4144, 4022, 15066, 14, 5867, 5267, 16046, 28188, 311, 1873, 324, 8920, 1708, 15, 1410, 349, 3134, 387, 35853, 7702, 16, 7644, 11379, 343, 642, 5060, 286, 9575, 15066, 555, 2477, 254, 3858, 274, 436, 26823, 2917, 16, 3201, 14, 353, 555, 248, 4474, 2896, 512, 2362, 254, 20280, 14, 286, 368, 476, 1926, 5867, 5267, 16046, 28188, 20199, 432, 38083, 282, 13900, 14, 324, 248, 26842, 286, 43634, 15, 4773, 2705, 16, 188, 686, 1596, 282, 436, 14, 360, 452, 669, 9831, 254, 712, 28581, 621, 324, 272, 8429, 2525, 2705, 16, 1395, 476, 1926, 38083, 282, 13900, 20199, 348, 963, 348, 997, 324, 642, 4139, 4850, 254, 27917, 407, 960, 772, 5939, 621, 16, 20928, 436, 621, 432, 254, 5396, 9956, 15663, 14, 7268, 15663, 14, 5258, 40071, 3525, 390, 1991, 15663, 282, 889, 772, 3134, 14, 286, 1041, 633, 4149, 35853, 407, 1905, 273, 2624, 621, 15, 7286, 5961, 286, 12968, 14041, 561, 407, 436, 3783, 4149, 6577, 16, 0, 22365, 383, 3547, 432, 254, 36756, 4715, 14, 1648, 5962, 1508, 14, 311, 1635, 2622, 16, 15246, 328, 254, 3762, 390, 4708, 2622, 282, 4010, 254, 1999, 3547, 4806, 16, 188, 2148, 248, 2057, 16032, 274, 512, 2391, 286, 14726, 3284, 2828, 407, 388, 8, 38, 286, 3732, 16, 188, 2148, 248, 2057, 16032, 274, 512, 254, 6151, 5962, 3547, 286, 1508, 16, 0, 13601, 65, 7382, 65, 1037, 3845, 3027, 2514, 802, 1286, 368, 3437, 248, 4245, 14, 436, 18987, 30793, 633, 1390, 593, 368, 1038, 625, 452, 282, 1479, 353, 276, 1689, 671, 16, 188, 13601, 65, 7382, 65, 12460, 65, 1037, 3845, 3027, 2514, 802, 1286, 368, 3437, 248, 4245, 14, 436, 18987, 30793, 633, 4436, 2859, 593, 368, 1038, 625, 452, 282, 1479, 353, 276, 1689, 671, 16, 188, 77, 7945, 65, 12763, 65, 1021, 40889, 65, 2523, 3845, 3027, 18828, 7061, 25814, 282, 5667, 23965, 24660, 327, 476, 7325, 276, 248, 4245, 825, 624, 4400, 683, 665, 1910, 16, 188, 6486, 3193, 5319, 1787, 3845, 3027, 19932, 368, 1689, 2722, 633, 9621, 25814, 407, 254, 10435, 3335, 14339, 593, 327, 12587, 9, 17459, 286, 15718, 3585, 476, 321, 12311, 348, 596, 2055, 432, 3135, 282, 3135, 16, 188, 1349, 265, 65, 35239, 65, 22161, 3845, 3027, 2514, 802, 15212, 533, 12587, 452, 24531, 282, 2903, 13879, 14, 286, 4699, 254, 18757, 28697, 561, 274, 615, 1026, 16, 188, 89, 789, 69, 65, 37355, 265, 65, 29625, 3845, 3027, 19932, 368, 1689, 2722, 633, 9621, 25814, 407, 254, 8745, 282, 1868, 254, 671, 327, 633, 4311, 7528, 7923, 1162, 369, 5618, 282, 321, 3469, 314, 927, 3570, 5845, 14854, 11920, 481, 188, 89, 789, 69, 65, 33309, 65, 35239, 2316, 3845, 3027, 5596, 1842, 330, 4311, 3681, 1162, 900, 407, 254, 8745, 282, 4316, 748, 1004, 22494, 555, 276, 615, 12352, 7089, 16, 188, 65, 308, 781, 3845, 3027, 5596, 1090, 3397, 274, 5396, 39617, 16, 1547, 1545, 441, 282, 30276, 286, 1359, 254, 1162, 274, 12587, 286, 282, 915, 843, 12587, 2055, 1444, 254, 2586, 670, 596, 457, 251, 960, 353, 16, 826, 7526, 441, 282, 3054, 254, 1026, 772, 4282, 2893, 14, 324, 1610, 407, 2328, 2056, 4076, 403, 4419, 748, 596, 872, 4214, 16, 188, 65, 308, 1763, 3845, 3027, 22454, 272, 4813, 7823, 5396, 39617, 18987, 16, 188, 65, 308, 16983, 3845, 3027, 19932, 368, 1689, 2722, 633, 9621, 7823, 5396, 39617, 18987, 16, 188, 1368, 476, 4432, 254, 7336, 328, 633, 4242, 282, 10073, 665, 13879, 603, 368, 5565, 16, 826, 476, 4214, 321, 2152, 407, 26225, 254, 11686, 13879, 4610, 328, 633, 4242, 314, 2770, 1125, 4282, 3357, 587, 417, 785, 8876, 603, 13879, 403, 13233, 481, 0, 24989, 5019, 648, 265, 687, 248, 11249, 9287, 348, 380, 15473, 11516, 81, 2600, 7738, 2286, 387, 254, 399, 2901, 2011, 25052, 14699, 5044, 16, 188, 510, 1361, 5325, 254, 2949, 343, 272, 3132, 785, 1869, 769, 39212, 399, 7024, 666, 9661, 5577, 324, 254, 913, 407, 657, 1917, 10584, 1618, 16, 188, 19226, 254, 642, 7242, 2600, 369, 769, 13655, 1011, 3619, 666, 407, 14704, 264, 367, 570, 4256, 29893, 14, 348, 963, 348, 2893, 407, 7960, 34143, 17935, 6868, 1711, 16, 188, 16749, 3689, 4087, 250, 14, 248, 18834, 3327, 2949, 2135, 14, 749, 769, 13655, 1011, 3619, 666, 369, 520, 7383, 628, 274, 254, 913, 16, 188, 1516, 369, 669, 417, 254, 801, 671, 4087, 250, 573, 2254, 254, 1361, 1323, 16, 188, 15080, 67, 12705, 7792, 1832, 753, 14, 34603, 382, 324, 254, 32200, 14, 749, 616, 7383, 628, 274, 254, 913, 369, 9339, 254, 6868, 1711, 7242, 16, 188, 7486, 273, 254, 12350, 369, 254, 32200, 457, 85, 2949, 274, 769, 3431, 1673, 733, 19781, 1756, 9661, 5577, 324, 380, 15473, 11516, 81, 407, 20936, 17575, 12271, 854, 619, 275, 16, 188, 510, 9287, 3297, 282, 36539, 9256, 841, 254, 1361, 6522, 14, 343, 4679, 512, 254, 8223, 2672, 4782, 380, 15473, 11516, 81, 248, 6134, 13858, 319, 16, 188, 46, 7748, 1502, 2846, 1951, 1048, 14, 248, 12394, 7716, 14, 749, 701, 286, 616, 5769, 497, 1062, 17339, 343, 254, 3327, 16, 188, 23914, 2290, 45772, 14, 248, 18834, 3327, 4584, 2135, 14, 749, 345, 1623, 11042, 254, 2949, 348, 963, 16, 188, 7373, 21112, 36176, 252, 14, 248, 11336, 274, 11409, 14, 749, 701, 1102, 254, 3327, 33385, 16, 188, 2976, 1241, 2672, 274, 380, 15473, 11516, 81, 19899, 328, 615, 23755, 324, 254, 399, 2901, 2011, 457, 85, 4425, 1526, 6519, 16, 188, 1590, 1212, 2169, 274, 7822, 307, 436, 2169, 274, 18231, 1756, 886, 382, 4966, 331, 329, 6286 ]

[ 1, 10337, 65, 29902, 2719, 647, 1827, 16, 8552, 426, 17106, 8742, 10, 1262, 11, 647, 2155, 10, 7902, 423, 23004, 9049, 14, 1827, 481, 870, 4338, 870, 9417, 8626, 14, 1375, 35436, 11, 1465, 1196, 285, 22363, 527, 477, 804, 1470, 10, 1262, 2192, 647, 11916, 12564, 266, 248, 3808, 14, 533, 933, 321, 15754, 348, 13543, 276, 33486, 15, 26, 647, 3198, 254, 2662, 2069, 16, 2621, 12679, 282, 254, 3808, 5009, 254, 19105, 1308, 647, 1146, 4640, 28, 20290, 29264, 5736, 65, 6505, 65, 2290, 66, 311, 1869, 16, 647, 11916, 2621, 1800, 11291, 2918, 17106, 2160, 603, 3320, 2165, 647, 1827, 16, 5736, 65, 6505, 65, 2290, 1067, 2621, 1574, 28, 926, 14046, 426, 13729, 16, 2711, 85, 10, 1262, 16, 9376, 16, 2825, 16, 28339, 1551, 17914, 15, 26, 14307, 647, 3584, 11422, 4608, 28, 926, 6975, 388, 4350, 3141, 35952, 10, 22, 18, 18, 14, 347, 18941, 13543, 2719, 2621, 1800, 23433, 23665, 2662, 328, 2160, 647, 1827, 16, 10337, 65, 29902, 16, 7209, 65, 8335, 65, 3933, 10, 1262, 16, 8552, 14, 14046, 11, 1465, 804, 2374, 65, 6505, 65, 2290, 10, 1262, 2192, 647, 11916, 6709, 5992, 1826, 254, 987, 9110, 5114, 555, 8158, 7846, 695, 647, 6315, 16, 2621, 2807, 4145, 436, 2374, 8193, 328, 10657, 254, 647, 20269, 58, 15, 7902, 423, 15, 4664, 5037, 2662, 10207, 1294, 343, 254, 2165, 332, 1705, 1400, 276, 647, 1146, 4640, 28, 9321, 29264, 6505, 65, 2290, 66, 670, 436, 1740, 311, 3446, 16, 647, 11916, 647, 1574, 28, 926, 2165, 426, 1827, 16, 9376, 16, 26692, 9594, 58, 15, 7902, 423, 15, 4664, 9431, 647, 3584, 9763, 4608, 28, 926, 6975, 388, 4350, 3141, 35952, 10, 22, 18, 19, 14, 347, 35446, 1558, 15, 7902, 423, 15, 4664, 10207, 2719, 2621, 603, 417, 17686, 10, 2290, 14, 1827, 16, 6505, 65, 2290, 2192, 926, 6975, 388, 4350, 3141, 35952, 10, 22, 18, 19, 14, 347, 18941, 8755, 2165, 2719, 188, 0, 3933, 17880, 1369, 26933, 188, 188, 2360, 6225, 5161, 28, 477, 27268, 3023, 52, 3127, 16292, 426, 550, 647, 45187, 5141, 684, 10, 1358, 647, 684, 95, 5141, 38309, 1358, 647, 684, 63, 5141, 39406, 1358, 477, 744, 14973, 804, 4623, 4338, 21257, 1262, 14, 1988, 2192, 647, 1827, 3226, 17421, 65, 9485, 426, 7954, 647, 1827, 3226, 24235, 426, 11475, 647, 1827, 3226, 18705, 10, 17255, 11, 14973, 804, 791, 423, 65, 8757, 10, 1262, 14, 1006, 2192, 647, 32334, 426, 1827, 24051, 2360, 46065, 32923, 3023, 52, 3127, 16292, 61, 3495, 63, 647, 603, 8249, 10, 1262, 3226, 17421, 65, 9485, 11, 653, 338, 28, 926, 1827, 3226, 24235, 426, 16247, 647, 27985, 1827, 3226, 17421, 65, 9485, 16155, 19, 63, 3493, 32334, 28, 926, 1827, 3226, 24235, 426, 16247, 647, 1952, 28, 926, 501, 426, 1827, 3226, 17421, 65, 9485, 16, 9324, 1067, 926, 603, 417, 501, 28, 1003, 1827, 3226, 24235, 426, 16247, 7627, 477, 804, 791, 18705, 10, 1262, 14, 1988, 2192, 647, 324, 1006, 276, 1988, 28, 926, 603, 1006, 276, 11865, 10, 1358, 38309, 1358, 684, 4862, 2192, 1003, 1827, 3226, 17421, 65, 9485, 16, 9436, 10, 3495, 11, 926, 1952, 28, 1003, 1827, 3226, 423, 65, 8757, 10, 3495, 11, 14973, 1196, 8897, 477, 804, 13011, 10, 1262, 2192, 647, 1076, 1827, 3226, 24235, 286, 8249, 10, 1262, 3226, 17421, 65, 9485, 11, 2224, 470, 575, 188, 1510, 311, 65, 24235, 10, 17255, 2192, 477, 1076, 6225, 5161, 10, 17255, 481, 24235, 188, 188, 86, 426, 539, 10, 5263, 4872, 24915, 6472, 188, 1507, 248, 18, 276, 2413, 10, 86, 2192, 477, 1988, 426, 3175, 4872, 24915, 1067, 477, 603, 311, 65, 24235, 10, 17255, 11, 2224, 11475, 28, 647, 3270, 1551, 23467, 2719, 477, 1952, 28, 647, 3270, 1551, 7513, 2719, 188, 0, 5, 33544, 11598, 17, 4655, 17, 12196, 15118, 188, 5, 8064, 314, 69, 11, 374, 18, 19, 20, 1599, 277, 491, 67, 14, 3567, 16, 1822, 3453, 10544, 16, 188, 5, 188, 5, 21081, 758, 254, 13934, 4493, 14, 10811, 374, 16, 18, 314, 779, 347, 17233, 3181, 188, 5, 368, 774, 417, 889, 436, 1819, 3584, 276, 10007, 343, 254, 4493, 16, 188, 5, 1395, 774, 3915, 248, 3378, 274, 254, 4493, 387, 188, 5, 188, 5, 3817, 1333, 2614, 16, 8197, 16, 2000, 17, 16652, 17, 17313, 15, 20, 16, 18, 188, 5, 188, 5, 15556, 2347, 407, 7559, 1533, 390, 5656, 282, 276, 3899, 14, 3571, 188, 5, 5770, 758, 254, 4493, 311, 5770, 328, 272, 347, 1675, 3977, 4, 22704, 14, 188, 5, 14588, 15039, 4012, 22284, 3368, 8867, 18771, 14, 1996, 3764, 390, 10195, 16, 188, 5, 2512, 254, 4493, 324, 254, 2107, 3335, 12841, 15176, 286, 188, 5, 7169, 758, 254, 4493, 16, 188, 5, 188, 188, 3933, 5062, 16, 9523, 16, 11236, 6893, 65, 2484, 65, 41187, 1369, 15566, 6893, 4938, 39054, 188, 2855, 671, 188, 2855, 269, 1719, 383, 188, 188, 2360, 5834, 25800, 4534, 36413, 10, 29015, 6893, 4938, 39054, 2192, 585, 11916, 26031, 324, 47787, 8542, 327, 3432, 625, 5937, 407, 12320, 7123, 1508, 31311, 1698, 1196, 82, 1719, 383, 16, 4553, 16, 20948, 65, 2087, 1340, 585, 804, 1056, 65, 14052, 65, 1955, 11310, 65, 297, 2883, 65, 10947, 10, 1262, 2192, 477, 5505, 65, 297, 2883, 65, 7147, 426, 393, 1030, 347, 2484, 15, 1879, 5798, 17, 27462, 16, 5310, 17, 14052, 65, 1171, 6171, 65, 43495, 435, 13821, 11236, 6893, 65, 14052, 65, 297, 2883, 4, 477, 1827, 16, 13464, 3550, 65, 8552, 16, 15983, 65, 3039, 65, 7147, 10, 14052, 65, 297, 2883, 65, 7147, 14, 31832, 31, 4937, 11, 477, 1827, 16, 8552, 16, 20948, 1551, 9482, 18684, 37654, 24611, 188, 27462, 16, 14052, 65, 1171, 6171, 65, 43495, 435, 22511, 539, 65, 1992, 10445, 5011, 16, 23515, 564, 2343, 9482, 2719, 477, 33945, 426, 1827, 16, 13464, 3550, 65, 8552, 16, 3434, 65, 7147, 10, 14052, 65, 297, 2883, 65, 7147, 11, 477, 4005, 8249, 10, 5047, 4862, 4365, 9255, 266, 33096, 4365, 9255, 22673, 2224, 470, 1698, 1196, 82, 1719, 383, 16, 4553, 16, 20948, 65, 2087, 1340, 585, 804, 1056, 65, 14052, 65, 9925, 18536 ]

[ 1, 457, 86, 24945, 2151, 5839, 16, 35681, 706, 310, 6231, 457, 86, 254, 756, 15169, 663, 10888, 343, 436, 4333, 16, 839, 403, 32085, 756, 841, 360, 913, 5839, 16, 1286, 626, 311, 641, 10637, 14, 360, 5103, 282, 2780, 626, 3470, 457, 86, 2151, 5839, 16, 7614, 274, 1129, 37130, 14, 2228, 14, 254, 3541, 282, 618, 24056, 2144, 387, 801, 276, 272, 2481, 15920, 1256, 327, 6707, 618, 7697, 807, 1767, 618, 1350, 274, 2482, 16, 2552, 327, 369, 3444, 343, 31615, 9625, 274, 7338, 327, 9988, 479, 843, 282, 13976, 618, 2482, 328, 618, 1193, 16, 7023, 1938, 852, 310, 2941, 327, 836, 5445, 497, 254, 20226, 7587, 274, 9444, 3753, 4767, 16, 188, 15309, 663, 1038, 457, 86, 2780, 276, 2572, 452, 248, 1837, 671, 343, 436, 3258, 27440, 2115, 16, 769, 1368, 2865, 2481, 531, 5418, 447, 432, 2572, 7518, 596, 1309, 343, 32783, 548, 2082, 16, 5919, 14, 353, 457, 85, 417, 747, 310, 3611, 248, 4179, 432, 1788, 26947, 343, 23729, 527, 43609, 588, 319, 14, 769, 38, 2119, 5820, 1675, 14, 4252, 14711, 12423, 4252, 2119, 388, 17620, 59, 4252, 2119, 41, 5169, 53, 4528, 666, 2038, 12165, 27440, 311, 624, 747, 272, 2843, 40550, 713, 618, 1450, 327, 310, 1848, 457, 86, 452, 1063, 1111, 67, 5812, 22080, 327, 311, 12064, 618, 1615, 6023, 274, 1815, 16, 1286, 11387, 407, 254, 5723, 19082, 274, 254, 13555, 25412, 14, 835, 310, 10815, 254, 2843, 282, 22054, 315, 10672, 16, 8873, 14, 748, 1042, 353, 2563, 830, 310, 1141, 254, 2843, 2144, 432, 33, 1286, 310, 1652, 254, 2843, 742, 274, 7672, 14, 650, 353, 452, 643, 665, 1637, 274, 272, 2481, 15920, 1256, 33, 188, 45379, 274, 254, 2843, 457, 85, 866, 7494, 14, 254, 2843, 327, 310, 807, 1767, 618, 1499, 407, 6707, 618, 7697, 369, 4828, 796, 16, 3845, 14, 310, 573, 282, 6023, 4128, 282, 1141, 14548, 343, 580, 14047, 1815, 248, 1362, 16, 2552, 14, 670, 327, 3285, 6742, 14, 310, 14459, 4128, 282, 1581, 624, 683, 580, 14047, 1815, 248, 1362, 16, 21300, 14, 310, 6705, 327, 310, 12015, 254, 1499, 12997, 16, 7693, 1063, 310, 756, 2950, 13486, 14, 1012, 310, 807, 915, 254, 1665, 9888, 939, 16, 731, 1143, 2151, 274, 248, 2967, 327, 310, 4574, 16017, 248, 270, 4751, 741, 286, 3297, 20631, 561, 274, 254, 3555, 963, 274, 9204, 310, 573, 369, 17675, 3198, 16, 6788, 35681, 14, 254, 3541, 282, 618, 24056, 3470, 457, 86, 4414, 748, 310, 369, 6817, 324, 14, 532, 353, 369, 4414, 748, 310, 2961, 14, 286, 310, 457, 79, 1181, 624, 16186, 286, 5058, 2966, 974, 274, 353, 16, 188, 5125, 671, 14, 310, 6139, 327, 254, 12578, 1494, 573, 1582, 13585, 479, 14, 286, 327, 618, 5839, 369, 417, 12154, 16, 380, 6032, 573, 23250, 479, 343, 254, 5493, 282, 8494, 618, 9204, 14, 286, 310, 13620, 328, 729, 276, 5839, 16, 750, 6344, 479, 1767, 618, 8442, 328, 1464, 14, 286, 9988, 479, 843, 282, 8188, 254, 2456, 274, 618, 11980, 8750, 16, 14607, 9204, 369, 248, 341, 3035, 310, 650, 452, 282, 8572, 324, 254, 1515, 274, 618, 1464, 14, 532, 2740, 573, 1143, 353, 20624, 16, 188, 13683, 618, 30815, 34751, 14, 310, 7207, 597, 1129, 30003, 324, 327, 33013, 16359, 3379, 16, 6499, 5987, 15, 1183, 38140, 343, 9204, 1872, 254, 14410, 327, 35681, 7360, 274, 286, 915, 254, 9650, 4313, 274, 14896, 8170, 280, 328, 254, 9117, 274, 7434, 4254, 14, 3732, 14, 286, 5935, 6851, 670, 596, 1574, 282, 5353, 254, 36200, 1040, 274, 436, 8750, 16, 310, 2780, 327, 436, 3379, 587, 513, 248, 1247, 2874, 274, 1157, 16, 1334, 26990, 327, 35681, 1102, 248, 7151, 663, 807, 1336, 616, 295, 6854, 616, 1464, 286, 1074, 15268, 959, 16, 310, 715, 30003, 324, 254, 3324, 618, 5935, 555, 643, 2328, 276, 254, 2391, 1603, 1090, 282, 2859, 6083, 1738, 14, 5577, 9204, 14, 1285, 4078, 12304, 11761, 16, 731, 11023, 248, 3202, 2713, 286, 6093, 282, 254, 2186, 327, 587, 1336, 11439, 254, 34466, 327, 1002, 254, 38140, 14152, 6168, 16, 43546, 774, 417, 14430, 9204, 1919, 747, 15616, 742, 772, 22974, 14, 532, 942, 343, 9204, 476, 1074, 254, 4609, 282, 751, 561, 274, 3598, 14, 1354, 248, 3109, 3461, 14, 286, 16129, 254, 5493, 2066, 282, 729, 282, 1074, 6444, 16, 2003, 1336, 774, 321, 1112, 85, 14, 353, 774, 321, 4229, 7599, 14, 390, 353, 774, 321, 9444, 3753, 4767, 16, 12809, 29274, 5839, 12173, 441, 276, 254, 977, 3544, 274, 2482, 282, 915, 254, 5322, 276, 2824, 274, 772, 2836, 16, 0, 2300, 772, 4735, 18550, 5147, 4282, 9676, 282, 5170, 924, 276, 37141, 14, 276, 495, 2875, 4867, 368, 476, 2662, 14, 4400, 286, 4214, 14, 8346, 18550, 286, 4665, 432, 597, 282, 607, 4735, 4273, 276, 37141, 286, 8476, 2104, 16, 188, 4601, 2792, 7325, 276, 254, 3783, 24415, 2662, 825, 286, 4615, 44442, 18550, 432, 597, 282, 607, 8346, 4273, 276, 37141, 16, 188, 1212, 22539, 5559, 772, 5060, 14659, 4273, 14, 5427, 2342, 8346, 15806, 286, 3780, 44442, 4273, 276, 37141, 14, 286, 756, 785, 343, 1157, 14, 9377, 5337, 733, 276, 37141, 16, 188, 12963, 1789, 248, 1612, 6742, 328, 4684, 407, 960, 772, 347, 23057, 4735, 571, 1471, 286, 4665, 3783, 2497, 4, 4024, 324, 5170, 924, 276, 37141, 16, 188, 1516, 25962, 248, 1247, 2874, 274, 671, 348, 368, 403, 2041, 282, 2662, 4735, 18550, 14, 432, 9377, 2342, 14, 5060, 390, 3780, 5337, 733, 276, 37141, 14, 2292, 276, 580, 1619, 16, 188, 15309, 37141, 8346, 15806, 587, 2960, 368, 3468, 343, 615, 8346, 7980, 16, 1691, 368, 452, 282, 513, 311, 282, 7085, 254, 7702, 14, 3134, 615, 3831, 286, 5053, 254, 44442, 2485, 276, 37141, 327, 18956, 368, 1640, 16, 188, 1212, 2023, 13259, 1683, 8346, 37141, 286, 3764, 2342, 8346, 3134, 16, 28017, 1708, 3780, 5170, 924, 37141, 286, 1640, 5060, 5170, 924, 18550, 16, 839, 7065, 3260, 282, 3260, 20325, 9470, 37141, 286, 17740, 12890, 9470, 4665, 16, 6398, 957, 2072, 4735, 37141, 286, 17740, 6092, 4735, 1581, 16, 5427, 9575, 5337, 733, 37141, 2023, 10849 ]

[ 1, 7479, 478, 3595, 867, 282, 27534, 276, 3447, 374, 18, 19, 21, 16, 188, 54, 14598, 11761, 282, 427, 8431, 83, 13963, 91, 1155, 14, 8089, 274, 24638, 706, 1277, 29, 11353, 14, 328, 254, 8641, 274, 248, 2675, 3026, 324, 5475, 7935, 286, 5384, 6319, 286, 31713, 276, 254, 2391, 802, 16, 188, 54, 14598, 11761, 282, 416, 727, 80, 357, 21289, 952, 334, 1155, 14, 3792, 274, 254, 2341, 16743, 6313, 274, 44690, 40925, 4543, 314, 33156, 1254, 581, 328, 16468, 687, 374, 18, 19, 20, 14, 254, 4954, 282, 2023, 2269, 3860, 282, 2963, 14, 286, 254, 7935, 7742, 16, 188, 54, 14598, 11761, 282, 16929, 27133, 11130, 14, 19231, 3792, 324, 44690, 40925, 14, 11769, 14, 706, 1277, 29, 13917, 387, 17139, 14, 328, 254, 14069, 5704, 276, 44690, 40925, 14, 254, 2504, 434, 2472, 348, 272, 2269, 14311, 14, 286, 254, 21413, 387, 24111, 7479, 478, 16, 188, 54, 14598, 11761, 282, 38734, 17292, 258, 323, 7064, 445, 8025, 14, 3792, 274, 657, 4467, 301, 44690, 40925, 14, 328, 7916, 14, 3358, 1918, 7674, 14, 286, 254, 1841, 3373, 274, 254, 4340, 15, 1128, 256, 312, 753, 367, 24187, 314, 7453, 40390, 481, 188, 41, 461, 2248, 32392, 14, 20605, 274, 254, 32392, 323, 27245, 1402, 9948, 14, 328, 254, 2803, 274, 254, 32392, 1963, 276, 44690, 40925, 286, 254, 30715, 274, 3944, 2269, 16, 188, 3294, 248, 671, 670, 44690, 40925, 311, 11263, 348, 248, 2165, 7626, 324, 2963, 14, 331, 4787, 753, 3556, 348, 248, 825, 274, 2269, 3860, 311, 248, 13566, 2715, 276, 254, 32390, 18719, 2860, 16, 188, 54, 14598, 11761, 282, 6244, 11701, 438, 281, 13514, 14, 4078, 15381, 274, 11931, 444, 8, 1277, 29, 50, 44690, 40925, 14, 328, 254, 2485, 434, 4566, 276, 44690, 40925, 14, 8811, 30584, 14, 286, 18809, 3595, 274, 254, 24111, 7479, 478, 3556, 1631, 16, 188, 54, 14598, 11761, 282, 7200, 18420, 14, 4078, 15381, 324, 44690, 40925, 387, 46744, 2677, 1048, 14, 328, 5704, 276, 44690, 40925, 14, 1922, 12464, 14, 286, 416, 8, 1277, 29, 38, 16, 188, 54, 14598, 11761, 282, 8301, 325, 21327, 19726, 727, 14, 4078, 15381, 274, 32392, 16743, 14, 328, 254, 2803, 274, 254, 2485, 14, 6507, 248, 4474, 20201, 274, 5704, 14, 286, 254, 5475, 7935, 3026, 16, 188, 4119, 1575, 15, 14124, 8946, 587, 27449, 2743, 15, 13837, 2269, 6259, 276, 1596, 282, 4654, 1922, 4681, 348, 8132, 2237, 5884, 16, 188, 4630, 3942, 971, 555, 2411, 272, 3821, 324, 8189, 286, 248, 1500, 628, 274, 254, 2504, 434, 2958, 8548, 15, 16985, 7730, 1823, 5861, 16, 188, 54, 14598, 11761, 282, 388, 2255, 1337, 19416, 9153, 88, 14, 8089, 274, 23481, 1466, 706, 1277, 29, 14272, 18686, 14, 328, 48044, 254, 1162, 274, 6702, 3551, 14, 23060, 295, 15, 44242, 15409, 14, 286, 27141, 3944, 10399, 1773, 16, 188, 54, 14598, 11761, 282, 323, 778, 5418, 12850, 334, 1155, 14, 4078, 9701, 274, 4453, 16, 2345, 45843, 14, 328, 15679, 28118, 14, 13107, 9902, 14, 286, 254, 401, 11060, 7587, 16, 188, 54, 14598, 11761, 282, 10081, 478, 8301, 325, 727, 14, 9701, 274, 5225, 22495, 14, 328, 4654, 4681, 324, 5099, 19724, 276, 7227, 286, 11769, 14, 348, 963, 348, 5704, 286, 7916, 46580, 2502, 254, 1922, 2703, 16, 188, 1853, 254, 20389, 1575, 274, 44690, 40925, 5299, 286, 254, 4681, 324, 8235, 22136, 22356, 14, 254, 19173, 4351, 4313, 713, 15715, 254, 6015, 27924, 16, 188, 54, 14598, 11761, 282, 20540, 3883, 12669, 275, 727, 14, 9701, 274, 43023, 6190, 23893, 4114, 20670, 14, 328, 3170, 2230, 40859, 14, 15410, 343, 10200, 276, 6338, 32617, 14, 286, 254, 2072, 12660, 16, 188, 3269, 2477, 1305, 432, 254, 2142, 286, 254, 21122, 274, 1518, 1483, 924, 282, 9260, 3820, 46870, 14, 31526, 4273, 403, 4610, 615, 28900, 328, 13107, 9902, 16, 188, 54, 14598, 11761, 282, 22532, 325, 46093, 5015, 91, 1155, 14, 3792, 274, 21367, 44, 14, 328, 254, 44473, 274, 254, 2485, 14, 254, 401, 7519, 41, 2703, 14, 286, 7270, 5661, 16, 188, 54, 14598, 11761, 282, 26523, 6279, 1997, 285, 25880, 14, 4078, 15381, 274, 47890, 15, 2879, 67, 44690, 40925, 14, 328, 6507, 254, 401, 7519, 41, 2703, 14, 16514, 743, 4163, 14, 286, 44690, 40925, 348, 248, 2530, 324, 9670, 5704, 16, 188, 54, 14598, 11761, 282, 45952, 1855, 250, 19109, 2248, 334, 1155, 14, 5783, 273, 9701, 274, 6297, 462, 7472, 14, 328, 254, 1922, 16601, 8548, 286, 254, 5511, 2472, 274, 13107, 9902, 16, 188, 54, 14598, 11761, 282, 3479, 1182, 325, 46067, 727, 14, 4078, 9701, 274, 18546, 67, 5153, 14, 328, 13922, 769, 40159, 276, 44690, 40925, 4, 16714, 286, 254, 1922, 16601, 4351, 16, 188, 1853, 254, 11675, 3778, 274, 28345, 2490, 14, 4273, 403, 6507, 743, 6319, 282, 21387, 254, 34236, 4681, 324, 9526, 286, 17635, 17962, 16, 188, 54, 14598, 11761, 282, 13883, 16929, 14, 4078, 15381, 274, 330, 2805, 52, 3127, 14, 328, 254, 2365, 282, 31183, 8262, 5172, 390, 642, 16682, 286, 4995, 5146, 276, 254, 2104, 1444, 254, 771, 727, 26165, 7280, 16, 188, 52, 39680, 315, 3509, 5939, 3886, 38361, 23505, 4009, 286, 254, 2365, 324, 15392, 276, 254, 7806, 8005, 403, 7895, 254, 2504, 276, 695, 2472, 348, 272, 310, 1607, 6480, 276, 254, 331, 1779, 16, 188, 54, 14598, 11761, 282, 13963, 354, 16, 46067, 727, 14, 8089, 274, 20858, 706, 1277, 29, 8118, 19585, 14, 328, 254, 2251, 286, 25852, 274, 254, 310, 1607, 8548, 276, 374, 18, 19, 20, 286, 254, 21164, 282, 2411, 248, 6480, 276, 1303, 15, 24898, 16582, 276, 374, 18, 19, 21, 286, 4317, 16, 188, 54, 14598, 11761, 282, 7524, 1469, 11952, 14, 11413, 274, 25094, 3864, 14, 328, 254, 3629, 274, 254, 1922, 2703, 286, 254, 2365, 8856, 327, 807, 321, 5325, 407, 254, 9932, 274, 5939, 1162, 2176, 1402, 16, 188, 54, 14598, 11761, 282, 771, 344, 301, 16932, 322, 12357, 14, 11413, 274, 12705, 2199, 437, 13559, 679, 14, 328, 695, 2472, 276, 254, 3564, 2363, 274, 254, 310, 1607, 8548, 286, 743, 4163, 328, 254, 16427, 16, 188, 54, 14598, 11761, 282, 12456, 2948, 6386 ]

[ 1, 10, 926, 1827, 16, 31255, 16, 16987, 14, 1827, 16, 2788, 11, 534, 188, 2360, 9956, 265, 39689, 10, 18730, 16, 6917, 2192, 477, 3407, 426, 3106, 16, 23384, 6009, 10, 14728, 65, 2582, 65, 1855, 31, 4937, 11, 477, 4358, 426, 3106, 16, 38577, 4664, 10, 39689, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 347, 3380, 18855, 39689, 30, 93, 18, 1965, 550, 19, 19895, 3333, 7910, 10, 1262, 16, 31255, 16, 435, 382, 14, 1827, 16, 31255, 16, 5401, 11, 534, 188, 2360, 16400, 40, 579, 10, 18730, 16, 6917, 2192, 477, 4358, 426, 3106, 16, 38577, 4664, 10, 39689, 11, 477, 3407, 426, 3106, 16, 23384, 6009, 10, 14728, 65, 2582, 65, 1855, 31, 4937, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 347, 39689, 40, 579, 30, 93, 18, 19895, 3333, 7910, 10, 1262, 16, 31255, 16, 16987, 11, 534, 188, 2360, 16400, 6643, 10, 18730, 16, 6917, 2192, 477, 3407, 426, 3106, 16, 23384, 6009, 10, 14728, 65, 2582, 31, 4937, 11, 477, 4358, 426, 3106, 16, 38577, 4664, 10, 39689, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 347, 39689, 6643, 30, 16987, 11469, 18, 19895, 3333, 7910, 10, 1262, 16, 31255, 16, 16987, 11, 534, 188, 2360, 16400, 6643, 56, 1548, 10, 18730, 16, 6917, 2192, 477, 4358, 9376, 426, 3106, 16, 38577, 4664, 10, 39689, 6643, 11, 477, 1294, 426, 3106, 16, 16014, 6009, 10, 6799, 31, 18, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 347, 39689, 6643, 30, 3039, 11469, 18, 1965, 1294, 11469, 19, 19895, 3333, 7910, 10, 926, 1827, 16, 31255, 9376, 16, 31255, 16, 16987, 14, 1827, 16, 2788, 11, 188, 188, 31515, 65, 54, 15144, 1384, 426, 314, 477, 5387, 3039, 985, 347, 16987, 8154, 477, 5387, 5401, 985, 347, 5401, 8154, 477, 5387, 435, 382, 985, 347, 435, 382, 8154, 188, 11, 534, 188, 2360, 1834, 2368, 10, 18730, 16, 6917, 2192, 477, 1631, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 20, 18, 14, 9898, 31, 31515, 65, 54, 15144, 1384, 14, 4145, 31, 18, 11, 477, 1294, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 20, 18, 22, 26, 14, 4311, 31, 4937, 11, 534, 188, 2360, 4493, 10, 18730, 16, 6917, 2192, 477, 1390, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 20, 23, 23, 11, 477, 2094, 65, 1554, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 20, 23, 23, 14, 9650, 31, 4937, 11, 477, 9433, 426, 3106, 16, 9460, 6009, 10, 21782, 31, 4937, 11, 477, 2426, 426, 3106, 16, 45484, 10, 21782, 31, 4937, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 1827, 16, 14063, 65, 1554, 534, 188, 2360, 5541, 2308, 10, 18730, 16, 6917, 2192, 477, 19151, 426, 3106, 16, 8436, 6009, 10, 647, 2694, 65, 3857, 31, 20, 18, 22, 26, 14, 647, 4311, 31, 4937, 14, 647, 1336, 65, 1139, 5313, 35156, 328, 254, 1242, 274, 254, 2787, 314, 75, 16, 71, 16, 347, 435, 382, 4, 684, 647, 684, 35156, 347, 435, 382, 17, 31255, 16, 2425, 21, 985, 532, 417, 347, 435, 382, 20, 17, 435, 382, 16, 2425, 21, 2719, 9, 477, 2312, 477, 9306, 426, 3106, 16, 8436, 6009, 10, 3958, 65, 3857, 31, 20, 23, 23, 11, 477, 9433, 426, 3106, 16, 9460, 6009, 10, 21782, 31, 4937, 11, 477, 7771, 426, 3106, 16, 38577, 4664, 10, 17233, 11, 1465, 804, 4623, 42302, 21257, 1262, 2192, 647, 1076, 1827, 16, 16987, 188, 0, 2855, 745, 7209, 188, 2855, 7481, 188, 2855, 11555, 188, 2855, 295, 188, 3933, 745, 7209, 1369, 42925, 12564, 4608, 534, 188, 2360, 47837, 26804, 10, 5912, 2192, 477, 11916, 411, 376, 789, 248, 31310, 14807, 14, 286, 8775, 695, 1802, 16, 11916, 477, 804, 4623, 4338, 21257, 1262, 14, 1802, 14, 1375, 35436, 2192, 647, 1800, 641, 958, 13510, 8239, 21700, 2678, 647, 2155, 10, 36476, 26804, 14, 1827, 481, 870, 4338, 21257, 424, 35436, 11, 647, 621, 65, 7147, 426, 7481, 16, 3839, 16, 43696, 10, 375, 16, 3839, 16, 43696, 10, 375, 16, 3839, 16, 43696, 18050, 3039, 870, 10409, 647, 1922, 65, 3839, 426, 7481, 16, 3839, 16, 13575, 10, 1194, 65, 7147, 14, 1802, 11, 647, 603, 7481, 16, 3839, 16, 18830, 10, 6608, 65, 3839, 2192, 926, 1827, 16, 3839, 426, 1922, 65, 3839, 647, 1952, 28, 926, 1827, 16, 3839, 426, 7481, 16, 3839, 16, 13575, 10, 784, 9321, 10, 10134, 14, 37269, 5134, 3023, 7604, 1358, 684, 11162, 1802, 11, 534, 188, 2360, 15318, 26804, 10, 36476, 26804, 2192, 477, 11916, 411, 376, 789, 272, 5854, 4817, 14, 286, 20534, 254, 3797, 3005, 324, 353, 16, 11916, 477, 804, 4623, 4338, 21257, 1262, 14, 2629, 14, 3140, 1554, 14, 27820, 31, 11033, 14, 1375, 35436, 2192, 647, 2155, 10, 11767, 26804, 14, 1827, 481, 870, 4338, 21257, 3839, 31, 9727, 1554, 14, 1375, 35436, 11, 647, 1827, 16, 4015, 426, 2629, 647, 1827, 16, 22450, 426, 27820, 1465, 804, 1916, 65, 8626, 10, 1262, 14, 12702, 2192, 647, 1076, 543, 1262, 16, 3839, 63, 558, 12702, 1465, 804, 2374, 65, 9007, 10, 1262, 14, 12702, 31, 11033, 14, 475, 82, 5593, 8626, 14, 1375, 35436, 2192, 647, 11916, 13921, 3797, 343, 6938, 286, 1076, 695, 3340, 348, 248, 11908, 2787, 16, 2621, 2512, 745, 7209, 16, 5736, 65, 9007, 1067, 324, 4139, 16, 647, 1196, 3457, 12702, 28, 248, 1581, 274, 2024, 6938, 647, 1196, 3457, 1642, 258, 8626, 28, 642, 39214, 6938, 282, 1477, 2049, 647, 1196, 3457, 39684, 8626, 28, 22737, 6938, 282, 1477, 2049, 647, 1196, 2238, 254, 3797, 434, 3340, 647, 11916, 647, 1574, 28, 926, 19896, 5216, 426, 745, 7209, 16, 19918, 12116, 16156, 1067, 5896, 1800, 3417, 16079, 328, 7268, 14, 9957, 11054, 16, 926, 1800, 641, 958, 13510, 8239, 2370, 20295, 4790, 926, 19896, 5216, 16, 23224, 16975, 18908, 745, 7209, 16, 19918, 40, 65, 2921, 43692, 4151, 35658, 4151, 926, 39684, 8626, 16, 1160, 6799, 2012, 5318, 484, 5216, 1358, 19896, 5216, 11, 647, 3584, 40444, 4608, 28, 926, 1477, 647, 39684, 8626, 16 ]

[ 1, 456, 869, 254, 1394, 4619, 254, 801, 2630, 14, 1004, 2214, 16691, 11057, 286, 835, 38747, 729, 16, 380, 801, 1694, 2704, 497, 11374, 407, 1599, 7759, 252, 14, 532, 254, 35932, 1856, 338, 18, 4400, 16621, 16, 309, 447, 650, 1663, 286, 563, 348, 1081, 6936, 11177, 13098, 282, 1115, 5667, 15, 484, 14, 532, 1599, 7759, 252, 7110, 282, 1703, 248, 1694, 1110, 1394, 387, 254, 2654, 16, 188, 13655, 624, 2704, 497, 1856, 407, 1599, 7759, 252, 1285, 254, 5742, 2819, 274, 254, 1250, 2630, 16, 1860, 5527, 254, 4175, 1110, 18544, 14, 416, 560, 1974, 67, 255, 33736, 695, 1250, 440, 29834, 265, 338, 18, 1110, 1382, 274, 254, 2286, 282, 1394, 576, 18, 15, 21, 26, 16, 2003, 650, 321, 615, 2379, 2687, 276, 254, 1394, 14, 348, 254, 15351, 34698, 6568, 24631, 801, 248, 13521, 14, 835, 248, 576, 27, 15, 22, 23, 1394, 16, 731, 852, 417, 1336, 327, 416, 7811, 2350, 4717, 1391, 324, 248, 813, 28, 20, 26, 13353, 14, 6755, 1599, 7759, 252, 457, 85, 5585, 282, 593, 275, 282, 35531, 26631, 16, 380, 2099, 3929, 2350, 282, 1599, 7759, 252, 14, 9619, 607, 22, 15, 25, 20, 16, 188, 41120, 1318, 5604, 16667, 3445, 3123, 275, 11374, 374, 18, 2704, 324, 254, 35932, 327, 7046, 16, 29081, 1318, 3779, 45, 13913, 8470, 1856, 338, 19, 14, 286, 41942, 1572, 404, 885, 731, 252, 4061, 338, 18, 16, 23394, 657, 16, 18146, 254, 1527, 7046, 14, 8470, 286, 16667, 3445, 3123, 275, 650, 959, 8987, 3893, 23546, 276, 2704, 14, 21233, 374, 19, 286, 338, 25, 2881, 16, 188, 686, 21201, 252, 14, 1427, 2728, 14, 254, 35932, 286, 254, 28099, 3720, 29638, 254, 2099, 338, 23, 15, 19, 23, 387, 254, 2722, 274, 254, 801, 6961, 16, 380, 1250, 12467, 254, 28099, 9619, 3893, 254, 2332, 274, 2704, 1856, 407, 416, 560, 1974, 67, 255, 16, 4539, 254, 374, 21, 2704, 11374, 276, 254, 2543, 14, 254, 35932, 573, 756, 2712, 16, 1860, 1041, 597, 324, 3542, 2704, 14, 32491, 12345, 43377, 28829, 14, 18834, 32582, 9963, 14, 286, 8470, 6344, 4646, 254, 18544, 282, 756, 4941, 2704, 16, 496, 254, 6815, 6961, 14, 254, 35932, 35367, 254, 1394, 282, 8195, 756, 7261, 2704, 3108, 657, 16, 18146, 813, 18, 15, 25, 27, 16, 188, 12075, 4717, 2873, 324, 416, 7811, 276, 1364, 2286, 457, 85, 2099, 497, 8251, 30188, 20799, 5161, 343, 338, 18, 2704, 286, 16667, 3445, 3123, 275, 286, 731, 252, 343, 4175, 2704, 1004, 16, 826, 6612, 14, 254, 35932, 587, 1115, 959, 387, 1683, 1385, 8011, 302, 2965, 6640, 16, 0, 1853, 254, 2504, 457, 85, 1773, 276, 9374, 36678, 2289, 14, 9804, 1309, 18357, 1339, 321, 1143, 1012, 282, 5256, 248, 9377, 1773, 6015, 324, 2764, 14248, 16, 188, 23784, 457, 85, 1773, 11019, 311, 1497, 24078, 14, 286, 5569, 3095, 282, 29008, 366, 286, 20902, 403, 9458, 14, 254, 1840, 587, 751, 7007, 16, 188, 339, 11019, 25068, 286, 32972, 3906, 282, 321, 758, 33217, 14, 17740, 14, 3944, 1773, 587, 2411, 2746, 282, 2023, 16, 188, 13966, 4861, 1102, 327, 8864, 328, 1773, 11019, 555, 417, 4783, 597, 343, 3095, 16, 496, 695, 1280, 14, 30944, 282, 3059, 14, 380, 18637, 28870, 274, 11290, 31688, 309, 33554, 276, 9938, 286, 46481, 7575, 16540, 46490, 14, 254, 26696, 39, 7980, 327, 407, 374, 18, 20, 18, 254, 18544, 324, 37443, 1773, 6564, 286, 39427, 1914, 587, 321, 370, 26, 22, 6320, 16, 188, 6942, 282, 254, 26696, 39, 1280, 14, 254, 7825, 869, 1615, 8864, 286, 7363, 273, 324, 3095, 311, 10718, 16, 496, 374, 18, 19, 18, 14, 8864, 369, 5828, 282, 321, 370, 21, 24, 16, 22, 6320, 343, 248, 370, 27, 19, 16, 20, 6320, 872, 1091, 248, 7825, 274, 370, 23, 22, 16, 26, 6320, 16, 380, 1361, 6319, 276, 374, 18, 20, 18, 8864, 587, 321, 370, 22, 19, 16, 23, 6320, 343, 248, 370, 19, 20, 23, 16, 27, 6320, 872, 1091, 272, 370, 26, 22, 16, 22, 6320, 7825, 16, 496, 374, 18, 22, 18, 254, 1361, 7980, 370, 23, 19, 16, 25, 6320, 1129, 5108, 343, 248, 370, 19, 27, 23, 16, 22, 6320, 872, 1091, 248, 7825, 274, 370, 19, 22, 21, 16, 25, 6320, 16, 188, 510, 948, 14, 2474, 282, 254, 31196, 13001, 14, 311, 327, 603, 254, 3184, 274, 1464, 276, 436, 2504, 311, 282, 321, 8610, 14, 1773, 11019, 1339, 321, 5360, 16, 1223, 327, 2501, 587, 452, 282, 1663, 432, 9118, 16, 188, 53, 318, 31956, 14, 33017, 896, 311, 2102, 6349, 836, 2456, 16, 4644, 282, 254, 6145, 8217, 14, 35035, 3801, 28517, 9529, 274, 8688, 276, 254, 2318, 374, 18, 18, 18, 457, 85, 282, 5481, 286, 3054, 11019, 324, 17181, 3017, 16, 378, 5560, 273, 272, 5828, 370, 20, 18, 18, 2945, 14, 254, 35035, 3801, 5816, 274, 5883, 29108, 555, 643, 6548, 282, 2490, 4009, 282, 1336, 10992, 1919, 387, 254, 6557, 1091, 2210, 5299, 327, 324, 688, 452, 5326, 1438, 432, 8864, 1444, 370, 25, 23, 248, 1722, 324, 1773, 282, 4679, 370, 21, 18, 18, 16, 188, 510, 31196, 13001, 7980, 327, 407, 374, 18, 21, 23, 14, 254, 16133, 1773, 4665, 590, 11375, 587, 452, 2477, 16356, 16, 496, 2025, 14, 254, 3561, 286, 254, 4117, 587, 2377, 254, 944, 13753, 7935, 7674, 14, 769, 3014, 2194, 872, 15449, 324, 15028, 624, 683, 2630, 254, 3746, 2194, 1397, 1223, 436, 2042, 7583, 282, 1709, 16, 380, 3746, 1245, 7935, 587, 11159, 3893, 432, 370, 19, 21, 6320, 248, 802, 276, 374, 18, 19, 18, 282, 2674, 495, 18, 6320, 20422, 407, 254, 374, 18, 22, 18, 457, 85, 16, 188, 510, 26696, 39, 457, 85, 4596, 311, 327, 276, 254, 2734, 2764, 14, 6921, 587, 452, 282, 2874, 343, 254, 33473, 274, 1637, 9377, 286, 624, 7996, 1773, 12832, 16, 826, 774, 2408, 17109, 390, 10996, 7169, 328, 1773, 8132, 390, 10027, 282, 757, 21069, 1773, 324, 8841, 286, 9094, 16, 1678, 14, 254, 11817, 274, 254, 2764, 1840, 587, 321, 31217, 2154, 5077, 2584, 1012, 16, 188, 510, 26696, 39, 1280, 2957, 327 ]

[ 1, 26, 14, 338, 16, 18, 1077, 191, 19780, 543, 22, 16, 22, 14, 576, 16, 22, 14, 374, 16, 20, 14, 848, 16, 25, 63, 3185, 23125, 1827, 16, 8052, 17762, 781, 16, 455, 10212, 10, 8630, 14, 933, 65, 1234, 14, 391, 33488, 31, 19, 71, 15, 21, 581, 191, 13855, 14046, 567, 4608, 276, 347, 558, 1827, 16, 18112, 65, 1554, 11, 34406, 188, 339, 4623, 1554, 870, 36655, 870, 7073, 870, 5141, 3451, 1104, 317, 65, 329, 42933, 16, 7073, 1067, 0, 5, 43384, 12088, 28, 38931, 15, 26, 43384, 188, 188, 3933, 4623, 31111, 870, 1369, 48052, 65, 21787, 924, 188, 188, 3933, 18717, 9485, 1369, 27335, 188, 188, 3933, 3553, 1711, 16, 6271, 16, 5310, 16, 18730, 1369, 751, 65, 7443, 188, 188, 8749, 426, 751, 65, 7443, 2012, 37560, 65, 584, 35011, 1358, 684, 8749, 3291, 534, 188, 2360, 5614, 5890, 10, 4519, 266, 16, 13056, 5890, 14, 27335, 16, 5890, 494, 2192, 477, 11916, 477, 3257, 1083, 254, 931, 6952, 276, 254, 5614, 27335, 16, 477, 11916, 477, 2426, 426, 27335, 16, 8436, 6009, 10, 647, 3279, 31, 4937, 14, 889, 65, 8324, 31, 4937, 14, 7444, 65, 1554, 5313, 37560, 65, 8488, 17, 5826, 65, 1139, 16, 9867, 3291, 1465, 20117, 426, 27335, 16, 16014, 6009, 10, 7443, 65, 9321, 5313, 5826, 255, 65, 302, 1358, 3515, 31, 4937, 11, 477, 20117, 65, 1554, 426, 27335, 16, 8436, 6009, 1067, 1465, 11877, 426, 27335, 16, 16014, 6009, 10, 7443, 65, 9321, 5313, 24037, 870, 37560, 65, 302, 3291, 477, 11877, 65, 3323, 809, 426, 27335, 16, 8436, 6009, 1067, 477, 11877, 65, 1554, 426, 27335, 16, 8436, 6009, 1067, 1465, 9152, 426, 27335, 16, 16014, 6009, 10, 7443, 65, 9321, 5313, 24037, 65, 302, 3291, 477, 9152, 65, 3323, 809, 426, 27335, 16, 8436, 6009, 1067, 477, 9152, 65, 18542, 426, 27335, 16, 8436, 6009, 1067, 1465, 3446, 426, 27335, 16, 23384, 6009, 10, 7443, 65, 9321, 5313, 21651, 3291, 477, 9055, 426, 27335, 16, 23384, 6009, 10, 7443, 65, 9321, 5313, 37555, 3291, 1465, 804, 751, 65, 7443, 10, 1262, 2192, 647, 1076, 5614, 1465, 804, 10077, 65, 5826, 255, 65, 1554, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 16, 5826, 255, 16, 19150, 603, 10644, 16, 5826, 255, 1952, 10644, 16, 19150, 1465, 804, 10077, 65, 37560, 65, 3323, 809, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 16, 24037, 16, 37560, 16, 3323, 809, 1465, 804, 10077, 65, 37560, 65, 1554, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 16, 24037, 16, 37560, 16, 1554, 1465, 804, 10077, 65, 24037, 65, 3323, 809, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 16, 24037, 16, 3323, 809, 1465, 804, 10077, 65, 24037, 65, 18542, 10, 1262, 14, 10644, 2192, 647, 1076, 10644, 16, 24037, 16, 18542, 1465, 804, 3485, 65, 13672, 18955, 10, 1262, 14, 960, 31, 11033, 2192, 647, 1076, 5614, 16, 25099, 16, 455, 4872, 47334, 10, 35987, 31, 5489, 11, 1465, 804, 1218, 65, 13672, 18955, 10, 1262, 14, 960, 31, 11033, 2192, 647, 1076, 5614, 16, 25099, 16, 455, 4872, 47334, 10, 35987, 31, 5489, 481, 6946, 65, 4768, 2012, 24037, 1358, 684, 5826, 255, 3291, 188, 0, 5, 43384, 12088, 28, 38931, 15, 26, 43384, 188, 3933, 6248, 16, 18293, 1369, 35355, 65, 18293, 348, 35355, 188, 3933, 6248, 16, 5310, 1369, 13689, 188, 3933, 6248, 16, 88, 20, 1369, 45959, 47, 14622, 188, 3933, 40113, 16, 5310, 1369, 3106, 534, 188, 2360, 47097, 10, 20217, 47, 14622, 2192, 1465, 804, 31659, 10, 1262, 14, 390, 79, 2192, 647, 1800, 34452, 1631, 684, 1793, 292, 2084, 1630, 313, 34937, 46900, 16, 37355, 65, 3107, 9, 647, 13689, 16, 1855, 65, 11316, 2012, 850, 1816, 273, 65, 850, 292, 410, 2387, 313, 37593, 37355, 1358, 684, 37355, 65, 3107, 1358, 12474, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 9, 2682, 3958, 65, 3857, 31, 20, 23, 23, 14, 3515, 31, 4937, 14, 13689, 65, 4519, 31, 4937, 581, 12474, 1920, 65, 6799, 31, 5489, 11, 2621, 1800, 34452, 1631, 684, 1793, 292, 2084, 1630, 313, 34937, 46900, 16, 262, 65, 16383, 65, 37355, 9, 647, 13689, 16, 1855, 65, 11316, 2012, 850, 1816, 273, 65, 850, 292, 410, 2387, 313, 37593, 37355, 1358, 684, 262, 65, 16383, 65, 37355, 1358, 12474, 1827, 16, 28914, 2012, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 24222, 6009, 9, 2682, 6799, 31, 5489, 581, 12474, 1920, 65, 6799, 31, 5489, 11, 25178, 804, 23516, 10, 1262, 14, 390, 79, 2192, 647, 1800, 1569, 1044, 273, 1631, 684, 1793, 292, 2084, 1630, 313, 34937, 46900, 16, 37355, 65, 3107, 9, 647, 13689, 16, 15983, 65, 11316, 2012, 850, 1816, 273, 65, 850, 292, 410, 2387, 313, 37593, 37355, 1358, 684, 37355, 65, 3107, 3291, 2621, 1800, 1569, 1044, 273, 1631, 684, 1793, 292, 2084, 1630, 313, 34937, 46900, 16, 262, 65, 16383, 65, 37355, 9, 647, 13689, 16, 15983, 65, 11316, 2012, 850, 1816, 273, 65, 850, 292, 410, 2387, 313, 37593, 37355, 1358, 684, 262, 65, 16383, 65, 37355, 3291, 25178, 3106, 426, 550, 647, 684, 14006, 16, 4259, 5141, 550, 926, 684, 22347, 5141, 26491, 5912, 65, 1554, 5141, 684, 6811, 34125, 926, 684, 302, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 21478, 6009, 1358, 23567, 26491, 20777, 65, 2290, 5141, 684, 4937, 13614, 581, 926, 684, 1554, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 8436, 6009, 1358, 23567, 26491, 21831, 5141, 684, 4937, 1358, 684, 3958, 65, 3857, 5141, 684, 26, 18, 13614, 581, 926, 684, 468, 8110, 5141, 11865, 42706, 16, 5310, 16, 18730, 16, 14652, 16, 4768, 16, 9928, 1934, 9928, 6009, 1358, 23567, 26491, 927, 5141, 347, 525, 4862, 14006, 16, 36798, 5868, 985, 684, 14370, 3773, 5364, 5141, 684, 5489, 1358, 684, 21782, 5141, 684, 4937, 9, 2240, 647, 3454, 647, 684, 14006, 16, 32075, 5141, 550, 926, 684, 22347, 5141, 26491, 46593, 5141, 347, 2012, 5901, 65, 875, 870, 1194, 65, 1911, 1358, 684, 5901, 65, 875, 870, 7443, 1358, 684, 19303, 4963, 3291, 985, 684, 21831, 65, 35386, 5141, 7788 ]

[ 1, 5, 1180, 15969, 5876, 2522, 16, 188, 5, 314, 49, 2491, 1316, 14, 323, 2491, 2196, 1316, 11, 426, 314, 21, 16, 18, 14, 338, 16, 23, 481, 188, 188, 1244, 20938, 426, 576, 188, 188, 37, 18, 426, 314, 18, 14, 338, 14, 338, 1209, 374, 14, 470, 11, 188, 37, 19, 426, 314, 18, 14, 338, 1209, 576, 14, 338, 14, 338, 1209, 576, 11, 188, 188, 35, 18, 426, 314, 477, 34189, 477, 314, 19, 14, 581, 477, 314, 19, 1209, 576, 14, 338, 1209, 576, 581, 477, 314, 18, 14, 470, 14, 470, 11, 188, 11, 188, 35, 19, 426, 314, 477, 34189, 477, 314, 19, 1209, 576, 14, 581, 477, 314, 19, 14, 470, 581, 477, 314, 18, 14, 470, 14, 338, 1209, 576, 11, 188, 11, 188, 188, 36, 18, 426, 314, 477, 34189, 477, 314, 18, 14, 581, 477, 314, 19, 14, 338, 1209, 374, 581, 477, 314, 18, 14, 470, 14, 470, 581, 188, 11, 188, 36, 19, 426, 314, 477, 34189, 477, 3274, 19, 1209, 374, 14, 581, 477, 314, 19, 14, 470, 581, 477, 314, 20, 14, 428, 19, 14, 338, 1209, 374, 11, 188, 11, 188, 188, 1598, 426, 314, 19, 1209, 719, 14, 338, 1209, 719, 14, 374, 1209, 495, 14, 470, 11, 188, 2383, 19, 426, 3274, 19, 14, 576, 1209, 495, 14, 374, 1209, 495, 14, 470, 11, 188, 2383, 20, 426, 314, 19, 14, 428, 22, 1209, 495, 14, 338, 1209, 495, 14, 470, 11, 188, 2383, 21, 426, 314, 20, 14, 428, 22, 1209, 495, 14, 428, 20, 1209, 495, 14, 470, 11, 188, 2383, 22, 426, 3274, 20, 14, 607, 1209, 495, 14, 428, 20, 1209, 495, 14, 338, 11, 188, 0, 31311, 188, 1516, 311, 1903, 286, 440, 2021, 19262, 3571, 4299, 713, 254, 1321, 4877, 16, 188, 188, 30427, 311, 1903, 282, 3378, 14, 9741, 14, 15025, 14, 889, 14, 17605, 14, 5416, 14, 390, 188, 7941, 3230, 436, 3571, 14, 1996, 276, 2520, 2063, 825, 390, 348, 248, 17616, 188, 25570, 14, 324, 665, 3964, 14, 6092, 390, 1303, 15, 36332, 14, 286, 407, 665, 188, 29704, 16, 188, 188, 686, 33563, 327, 9196, 9201, 5168, 14, 254, 2410, 390, 4337, 188, 1153, 436, 3571, 5354, 8803, 665, 286, 512, 9201, 1564, 276, 254, 188, 32164, 282, 254, 1321, 4877, 16, 839, 1041, 436, 30617, 324, 254, 5485, 188, 1153, 254, 1321, 387, 1733, 286, 282, 254, 47913, 274, 772, 44962, 286, 188, 12222, 640, 16, 839, 18074, 436, 30617, 282, 321, 272, 18924, 765, 274, 188, 1621, 20852, 8692, 276, 14152, 10257, 274, 512, 1225, 286, 2764, 3453, 282, 436, 188, 32164, 758, 9201, 1533, 16, 188, 188, 9452, 18739, 3977, 32064, 347, 1675, 3977, 985, 14588, 22458, 3368, 8867, 18771, 14, 188, 4100, 21711, 4012, 25042, 14, 30724, 17204, 5638, 24822, 5766, 2909, 15039, 3368, 188, 36652, 19786, 14, 19917, 6474, 330, 19783, 19517, 4738, 35059, 1029, 6583, 2554, 16777, 16, 188, 1029, 7449, 29525, 31054, 2909, 30363, 16436, 8500, 33459, 6474, 8867, 44669, 14, 30867, 4012, 188, 38299, 26328, 14, 31996, 2856, 2842, 36037, 3368, 31639, 14, 33622, 4012, 34168, 14, 188, 1254, 30339, 10445, 14, 15889, 3368, 4012, 2856, 41178, 8067, 9032, 2909, 18739, 4012, 2909, 18671, 4012, 188, 38299, 47737, 18658, 2856, 2909, 18739, 16, 188, 188, 2148, 624, 1460, 14, 4356, 3606, 282, 653, 2337, 1333, 329, 21329, 16, 2000, 4217, 188, 188, 34, 7382, 28, 18026, 13191, 15710, 188, 31311, 188, 2855, 35553, 188, 188, 1510, 378, 373, 258, 3836, 7357, 10, 35, 14, 36, 2192, 477, 11916, 477, 826, 17419, 254, 271, 373, 258, 3836, 5764, 282, 3687, 248, 1360, 432, 330, 282, 378, 14973, 16094, 28, 512, 1246, 14, 91, 3485, 8333, 327, 403, 276, 254, 1360, 477, 11916, 477, 603, 330, 61, 18, 63, 2224, 378, 61, 18, 5064, 1800, 339, 330, 286, 378, 3768, 254, 1057, 1558, 5091, 14, 3687, 248, 4800, 1360, 276, 712, 647, 17125, 426, 210, 338, 603, 378, 61, 19, 63, 9855, 330, 61, 19, 63, 1952, 428, 19, 1800, 8406, 504, 1826, 282, 3687, 31659, 390, 23516, 647, 1076, 21151, 35, 61, 18, 1077, 75, 11, 324, 883, 276, 1246, 6152, 10, 35, 61, 19, 1077, 36, 61, 19, 20250, 19116, 420, 14, 19116, 420, 8866, 7627, 477, 27985, 330, 61, 19, 63, 2224, 378, 61, 19, 5064, 1800, 339, 330, 286, 378, 3768, 254, 1057, 712, 5091, 14, 3687, 248, 4800, 1360, 276, 1558, 647, 17125, 426, 210, 338, 603, 378, 61, 18, 63, 9855, 330, 61, 18, 63, 1952, 428, 19, 1800, 8406, 504, 1826, 282, 3687, 31659, 390, 23516, 647, 1076, 21151, 75, 14, 35, 61, 19, 3185, 324, 883, 276, 1246, 6152, 10, 35, 61, 18, 1077, 36, 61, 18, 20250, 19116, 420, 14, 19116, 420, 8866, 14973, 1952, 28, 1800, 2440, 20712, 248, 15969, 1360, 647, 17125, 90, 426, 338, 603, 378, 61, 18, 63, 9855, 330, 61, 18, 63, 1952, 428, 19, 1800, 1160, 254, 3758, 274, 1360, 9994, 647, 17125, 91, 426, 338, 603, 378, 61, 19, 63, 9855, 330, 61, 19, 63, 1952, 428, 19, 23881, 898, 426, 7954, 647, 341, 1190, 426, 330, 61, 19, 63, 1800, 1160, 712, 1242, 647, 14278, 426, 330, 15, 36, 1800, 1161, 3576, 14278, 428, 7189, 330, 286, 378, 403, 35553, 15965, 647, 14278, 426, 2054, 10, 3323, 1671, 61, 19, 31479, 9346, 10, 3323, 1671, 61, 18, 26874, 647, 2160, 426, 470, 16, 18, 1800, 18529, 877, 712, 2160, 4678, 647, 324, 883, 276, 1246, 6152, 10, 35, 61, 18, 1077, 36, 61, 18, 20250, 19116, 420, 90, 14, 19116, 420, 90, 2192, 1800, 1507, 512, 1558, 2127, 14, 3109, 3461, 276, 1558, 926, 898, 16, 9436, 4324, 75, 14, 91, 1190, 1210, 926, 2160, 6892, 14278, 926, 1205, 2160, 9855, 470, 16, 23, 28, 1800, 5880, 254, 712, 2160, 311, 1480, 1733, 14, 3109, 3461, 276, 712, 1003, 341, 1190, 6892, 17125, 91, 1003, 2160, 24064, 338, 16, 18, 1003, 898, 16, 9436, 4324, 75, 14, 91, 1190, 1210, 647, 1076, 898, 188, 188, 1510, 378, 373, 258, 3836, 28643, 10, 35, 14, 36, 2192, 477, 11916, 477, 16059, 254 ]

[ 1, 324, 254, 9104, 274, 7417, 368, 18074, 282, 8033, 633, 13957, 7103, 254, 3782, 327, 368, 5053, 282, 8106, 282, 1041, 16, 380, 977, 4596, 311, 248, 2298, 624, 683, 248, 4298, 32181, 16, 1268, 353, 12991, 774, 4780, 321, 248, 6954, 16, 188, 3992, 353, 434, 1652, 8010, 713, 1623, 1623, 1837, 324, 2876, 1002, 11728, 1062, 11728, 32227, 7928, 32181, 1996, 3783, 390, 1002, 276, 254, 17103, 8548, 16, 1664, 403, 7223, 18560, 274, 7158, 338, 24, 31534, 327, 368, 476, 3489, 432, 16, 31241, 14, 596, 476, 625, 756, 4349, 36746, 286, 8823, 91, 8125, 13846, 16, 188, 686, 1068, 368, 452, 688, 18685, 668, 772, 7251, 285, 390, 9961, 3713, 16130, 14, 811, 1602, 286, 772, 2214, 587, 8372, 368, 16, 1395, 587, 1623, 1339, 997, 324, 6490, 14, 1544, 360, 2277, 1398, 283, 441, 16, 0, 50, 24307, 16769, 16087, 45768, 447, 276, 18197, 67, 14, 4851, 314, 4141, 11, 387, 254, 418, 4151, 23643, 4509, 26350, 15214, 3, 188, 1516, 587, 12991, 9165, 353, 282, 321, 7722, 16, 188, 15412, 85, 12406, 282, 1315, 729, 2014, 254, 7760, 13537, 486, 274, 633, 1683, 16, 1678, 14, 254, 10202, 5925, 6706, 432, 2485, 282, 1074, 561, 843, 633, 6104, 1868, 16, 4851, 1903, 6574, 6329, 18550, 276, 18197, 67, 14, 6408, 2485, 282, 4842, 16, 26719, 17740, 1017, 2417, 452, 1612, 12721, 274, 27664, 324, 10849, 6574, 6329, 18550, 276, 4851, 43272, 16, 11475, 14, 353, 476, 4955, 282, 642, 2779, 573, 643, 15225, 16, 14933, 2328, 272, 4205, 327, 254, 2967, 2602, 8468, 328, 633, 4717, 16, 188, 1982, 368, 1038, 625, 2033, 286, 403, 1628, 343, 370, 19, 14, 22, 20, 23, 282, 3051, 328, 13416, 286, 2849, 282, 785, 343, 16, 1223, 368, 452, 1652, 5529, 6329, 12968, 327, 4045, 836, 4009, 33, 3996, 1093, 7702, 835, 8013, 276, 374, 18, 18, 27, 348, 40445, 865, 8998, 10582, 1899, 282, 695, 20775, 16, 1838, 1125, 43104, 13845, 668, 10849, 6574, 6329, 18550, 276, 18197, 67, 14, 6408, 3783, 286, 7085, 633, 7980, 593, 327, 254, 4807, 7109, 1042, 417, 3437, 2151, 282, 2014, 248, 2330, 12699, 14670, 16, 496, 436, 5779, 670, 353, 9957, 282, 765, 286, 3713, 3831, 34109, 324, 6211, 14, 25508, 3778, 14, 1574, 282, 1074, 248, 4474, 2413, 274, 633, 1193, 1683, 16, 1395, 2014, 324, 254, 12583, 20, 20, 29839, 25453, 12997, 14, 407, 18202, 286, 29839, 834, 248, 7771, 16576, 434, 1096, 6329, 1063, 5938, 16, 8229, 5441, 282, 3957, 668, 3133, 343, 836, 4400, 16, 2640, 1738, 6329, 7702, 641, 2563, 748, 1479, 274, 3709, 314, 10059, 348, 254, 1364, 2115, 327, 555, 1612, 390, 641, 1491, 1294, 14, 353, 1503, 2730, 633, 6329, 9132, 4598, 2612, 1286, 368, 2314, 15224, 266, 286, 1926, 297, 2252, 14, 1041, 2056, 282, 7085, 254, 4009, 597, 407, 248, 1181, 2103, 4236, 683, 254, 3278, 16, 826, 3290, 6844, 10510, 248, 2072, 327, 8460, 1637, 2424, 10879, 683, 7760, 7617, 16, 188, 1516, 1408, 476, 1354, 282, 3570, 29111, 40792, 1358, 310, 715, 1438, 282, 13353, 615, 7363, 248, 1612, 624, 16, 1664, 403, 15485, 274, 2110, 4285, 2332, 327, 587, 1862, 512, 615, 3095, 16, 1860, 7856, 5228, 836, 4806, 14, 368, 403, 12352, 1444, 286, 2241, 282, 633, 1096, 276, 248, 18914, 390, 642, 1963, 3442, 16, 1395, 872, 282, 321, 276, 7131, 14, 8920, 2624, 5495, 641, 2563, 603, 368, 18916, 16, 11352, 436, 713, 7966, 670, 11871, 324, 347, 9736, 434, 1652, 254, 3021, 4, 1205, 248, 37703, 2408, 29, 960, 756, 3132, 4105, 14, 12320, 254, 4653, 274, 254, 6633, 383, 1789, 668, 3686, 276, 1017, 6948, 1470, 29866, 774, 669, 417, 512, 1903, 6574, 6329, 18550, 4273, 14, 1920, 276, 2482, 28, 399, 30633, 14, 2514, 4360, 368, 476, 751, 324, 4065, 10730, 286, 642, 2533, 327, 403, 1480, 1157, 282, 4319, 4987, 6326, 390, 642, 34109, 16, 188, 5910, 6329, 4273, 14, 286, 1074, 561, 327, 368, 961, 328, 254, 4009, 274, 1125, 1015, 4273, 286, 615, 16893, 10200, 16, 1664, 4417, 248, 1110, 1385, 633, 7771, 1480, 16, 6499, 452, 9548, 8088, 811, 407, 12445, 282, 254, 23071, 16, 8918, 14, 436, 5407, 587, 1970, 368, 830, 596, 587, 452, 282, 1354, 633, 1096, 311, 669, 10047, 248, 7427, 276, 254, 1527, 802, 16, 3774, 12352, 276, 436, 2504, 933, 1309, 272, 2371, 2701, 347, 15193, 1181, 324, 633, 6329, 2485, 14, 368, 476, 563, 282, 5589, 449, 826, 587, 5587, 597, 368, 933, 997, 387, 254, 1972, 2042, 274, 1096, 6329, 282, 4306, 6111, 16, 496, 436, 1068, 14, 254, 6252, 774, 1602, 2075, 513, 942, 563, 3320, 16, 731, 434, 10054, 668, 254, 4230, 343, 763, 1015, 14329, 8333, 747, 31135, 15, 927, 15, 46310, 1020, 286, 31135, 15, 927, 15, 91, 258, 16, 27505, 3617, 533, 452, 282, 7085, 650, 321, 963, 687, 370, 20, 14, 18, 18, 18, 248, 802, 532, 321, 6425, 274, 16, 13919, 407, 5859, 16700, 434, 2156, 14790, 4932, 14, 347, 35, 35174, 9548, 311, 248, 977, 1116, 4306, 4807, 368, 4306, 428, 1334, 1181, 2501, 432, 353, 449, 0, 44680, 1159, 328, 19806, 24042, 4417, 4133, 869, 7082, 11115, 328, 17028, 1013, 1068, 1240, 1885, 286, 19534, 274, 3736, 13185, 14, 286, 1093, 327, 2683, 328, 14416, 931, 16, 496, 4359, 14, 436, 1240, 32587, 254, 16719, 274, 2955, 494, 457, 85, 2660, 282, 4541, 3784, 276, 8189, 2415, 3819, 14, 1707, 328, 5715, 15, 5097, 2416, 931, 16, 380, 3802, 32644, 7969, 1230, 10875, 732, 38084, 314, 10117, 24911, 4009, 11, 276, 1015, 8815, 274, 6795, 348, 10234, 407, 2955, 494, 16, 380, 4202, 6409, 327, 10192, 1091, 1826, 6548, 390, 17109, 1091, 4417, 624, 1794, 276, 2703, 15, 3066, 26972, 683, 276, 615, 37713, 20775, 286, 327, 15335, 1013, 7969, 4179, 311, 272, 1726, 4629, 276, 8270, 24911, 16, 1678, 14, 626, 311, 348, 1181, 9726, 1525, 254, 1015, 2504, 8815, 348, 869, 729, 14, 286, 2362, 37713, 2963, 16, 496, 22077, 457, 85, 1068, 14, 1017, 24911, 311, 5514, 343, 1017, 7869, 1296, 14, 4501, 254, 2456, 274, 248, 2714, 22486, 281, 4900, 457, 5535, 16, 3774, 7969, 4179, 774, 321 ]

[ 1, 282, 2023, 4073, 3360, 286, 2601, 274, 1773, 324, 30146, 22422, 387, 254, 1708, 274, 254, 15041, 666, 960, 254, 5909, 10718, 1964, 16, 188, 510, 1280, 2225, 28, 769, 35, 3532, 274, 33177, 72, 437, 457, 85, 4747, 12406, 282, 452, 643, 14261, 343, 248, 9430, 10718, 1964, 543, 4465, 4288, 1773, 387, 512, 2008, 63, 348, 628, 274, 254, 1252, 3932, 8692, 29, 3082, 254, 5210, 5909, 10718, 1964, 543, 4465, 555, 282, 321, 11834, 432, 248, 3183, 3821, 63, 369, 6334, 286, 7128, 1397, 44448, 27105, 763, 642, 47754, 274, 3532, 9865, 1849, 254, 5759, 274, 248, 8461, 746, 2081, 975, 286, 254, 1956, 21615, 4568, 1129, 848, 3472, 1480, 6708, 16, 1678, 353, 1042, 417, 7723, 2657, 836, 31047, 348, 3468, 5346, 324, 2863, 274, 1464, 16, 731, 11023, 327, 254, 21615, 4568, 650, 452, 643, 769, 36711, 286, 7996, 282, 1767, 348, 628, 274, 665, 1252, 3932, 8692, 6423, 188, 510, 11814, 23796, 14, 432, 248, 4707, 2520, 14, 327, 254, 3398, 5672, 555, 2102, 19974, 687, 495, 18, 2945, 16076, 286, 6987, 432, 254, 14491, 274, 610, 13468, 1275, 286, 24741, 11930, 286, 254, 13355, 386, 11050, 42362, 14, 286, 327, 596, 403, 4917, 282, 10429, 286, 4429, 668, 607, 18, 18, 2165, 27513, 286, 745, 15, 20362, 640, 3103, 276, 254, 1252, 3932, 8692, 16, 0, 20953, 254, 5316, 1565, 432, 633, 1738, 16, 188, 3912, 15, 252, 15, 530, 21196, 5674, 286, 16947, 343, 248, 9595, 6025, 33561, 390, 17551, 12120, 382, 343, 374, 18, 18, 13, 2942, 274, 2982, 3609, 276, 29151, 286, 3753, 1767, 16, 188, 22, 18, 15596, 432, 687, 495, 14, 18, 18, 18, 274, 633, 6208, 11324, 14, 1648, 633, 28456, 34178, 324, 2713, 6179, 14, 3941, 14, 8428, 6025, 14, 2710, 2642, 14, 286, 624, 16, 188, 22283, 286, 4184, 274, 633, 3941, 286, 4456, 282, 3054, 633, 44014, 286, 3184, 274, 1464, 16, 188, 6539, 17598, 274, 633, 14486, 286, 1963, 2803, 282, 1949, 2033, 633, 2365, 1738, 10228, 16, 188, 35, 4311, 286, 47374, 44014, 2035, 4196, 31167, 282, 633, 931, 286, 7148, 407, 633, 330, 1054, 1064, 27481, 16, 188, 24, 21, 7, 274, 2672, 663, 573, 1656, 2237, 274, 14192, 399, 14, 248, 2417, 2715, 324, 37780, 14, 4255, 713, 248, 5708, 2413, 16, 188, 23, 19, 7, 274, 2672, 663, 573, 1656, 2237, 274, 39061, 495, 85, 14, 248, 2417, 2715, 324, 2710, 2642, 14, 4255, 713, 248, 5708, 2413, 16, 188, 26, 25, 7, 274, 2672, 663, 3428, 596, 1848, 457, 86, 865, 843, 282, 3051, 248, 5708, 1464, 641, 3248, 3428, 327, 1026, 16, 188, 26, 22, 7, 274, 2672, 663, 3428, 596, 573, 3542, 1423, 274, 615, 4701, 641, 3248, 3428, 327, 1026, 16, 188, 25, 22, 7, 274, 2672, 663, 3428, 615, 1738, 369, 328, 254, 3320, 1802, 641, 3248, 3428, 327, 1026, 16, 0, 20, 18, 19, 18, 465, 1482, 9423, 486, 24119, 10381, 10944, 368, 324, 9375, 633, 4328, 343, 441, 16, 6123, 254, 402, 10652, 403, 1062, 40899, 282, 452, 16, 380, 1880, 659, 39397, 247, 305, 8806, 311, 248, 1062, 963, 31310, 402, 88, 343, 272, 9220, 6326, 1581, 286, 28779, 6104, 7850, 16, 5329, 254, 33824, 6761, 328, 28278, 324, 1033, 465, 570, 276, 772, 5287, 16, 380, 7045, 6795, 10156, 5307, 7760, 13537, 486, 274, 338, 23, 18, 18, 18, 6400, 576, 23, 274, 533, 311, 17155, 6400, 286, 607, 23, 2758, 6400, 286, 7045, 3683, 274, 254, 9630, 11282, 85, 324, 836, 9163, 403, 5651, 7787, 327, 2023, 248, 3109, 407, 3109, 5046, 1648, 20665, 324, 6111, 35579, 374, 19, 20, 6796, 2570, 18, 19, 88, 20, 23, 21, 18, 18, 18, 8322, 16, 188, 20, 18, 19, 18, 465, 1482, 9423, 486, 24119, 10381, 16968, 1200, 76, 15456, 254, 13537, 486, 274, 247, 680, 1730, 67, 300, 88, 20, 1032, 85, 311, 374, 23, 10025, 446, 248, 376, 75, 17551, 16, 1860, 865, 624, 668, 695, 13537, 486, 25708, 4010, 254, 2622, 2951, 3817, 2614, 16, 9045, 1412, 1647, 16, 679, 39885, 256, 680, 1730, 67, 362, 20, 13537, 486, 16, 24257, 46849, 1162, 3590, 22, 27, 21, 247, 17984, 804, 462, 3280, 9071, 2539, 4116, 42516, 286, 17188, 4832, 343, 374, 18, 19, 18, 2495, 512, 465, 570, 9163, 3584, 4038, 81, 480, 68, 18522, 248, 804, 462, 3280, 9071, 282, 3536, 254, 10473, 16, 188, 1130, 434, 1841, 282, 751, 390, 6013, 27358, 82, 32549, 15, 89, 4123, 10381, 432, 2006, 13860, 16, 1286, 368, 1354, 248, 2722, 997, 387, 254, 10381, 368, 587, 9751, 254, 4898, 3672, 254, 9130, 14, 25397, 14, 3171, 8245, 14, 6199, 14, 286, 248, 1423, 14, 9155, 254, 3821, 1423, 6161, 16, 2640, 272, 9220, 4698, 274, 6864, 13830, 286, 4156, 14, 353, 434, 643, 900, 2124, 254, 944, 6140, 14, 3364, 286, 4081, 24119, 10381, 9994, 2024, 16, 374, 18, 19, 18, 610, 1482, 20835, 486, 411, 4123, 5959, 11741, 16, 380, 24119, 10381, 328, 254, 7093, 1116, 311, 3657, 12557, 282, 272, 3238, 5473, 753, 16, 12809, 24119, 10381, 774, 669, 3606, 282, 254, 26975, 24119, 2024, 16, 380, 21640, 2660, 282, 1218, 248, 1683, 24119, 10381, 311, 282, 3034, 387, 254, 2520, 14, 390, 254, 2135, 1575, 6015, 16, 31241, 14, 254, 1683, 24119, 10381, 311, 3256, 12492, 282, 10044, 254, 44082, 255, 830, 254, 19745, 403, 16, 188, 686, 248, 7332, 4898, 14, 1004, 3816, 311, 3468, 7729, 282, 254, 1575, 6015, 14, 593, 1004, 975, 4699, 254, 3138, 6540, 16, 1664, 403, 495, 4893, 15857, 274, 2546, 1665, 20368, 16, 380, 4898, 3095, 282, 321, 9874, 343, 248, 5874, 47580, 23822, 2704, 16, 374, 18, 19, 18, 610, 1482, 20835, 486, 411, 4123, 5959, 11741, 16, 5650, 4898, 12299, 248, 20840, 6540, 1580, 16, 1395, 403, 2041, 282, 4214, 3109, 597, 254, 6540, 282, 254, 3202, 1245, 17115, 272, 26366, 12095, 15, 15040, 38177, 286, 36014, 2508, 274, 819, 3265, 16, 380, 6540, 311, 254, 1962, 274, 8322, 1575, 4061, 407, 254, 9130, 16, 2253, 2056, 327, 254, 743, 33534, 3432, 625, 23889, 14, 286, 15374, 254, 1062, 1057, 715, 468, 486, 16, 188, 510, 1423, 3692, 774, 452 ]

[ 1, 310, 457, 79, 811, 16032, 742, 642, 790, 1789, 15, 626, 457, 85, 272, 34127, 5362, 16, 19052, 14, 626, 457, 85, 272, 14379, 5362, 14, 3901, 14, 532, 626, 457, 85, 272, 34127, 5362, 16, 22876, 811, 4893, 14379, 14, 626, 457, 85, 2057, 34127, 28050, 286, 11061, 16, 731, 457, 85, 747, 14, 4344, 14, 532, 2075, 311, 327, 276, 254, 2546, 6163, 33, 2003, 3032, 248, 1612, 561, 626, 14, 532, 14, 33278, 14, 5745, 14, 353, 457, 85, 626, 16, 188, 22302, 340, 28, 2514, 2115, 310, 457, 307, 2254, 276, 512, 274, 836, 41686, 328, 20873, 374, 16, 18, 311, 327, 596, 457, 251, 2367, 328, 16448, 5251, 254, 2546, 6163, 16, 1223, 14, 348, 2019, 348, 310, 2033, 14, 254, 5864, 4590, 274, 327, 311, 14, 670, 368, 3227, 20873, 14, 368, 457, 619, 452, 248, 11859, 274, 41092, 637, 15, 38964, 14, 533, 587, 321, 254, 2546, 6163, 16, 1223, 368, 457, 251, 9845, 282, 14, 8855, 14, 3227, 624, 41092, 282, 7957, 1093, 16, 11903, 368, 3611, 2626, 668, 327, 33, 188, 23741, 28, 7023, 45914, 276, 254, 5288, 16, 310, 1141, 748, 596, 457, 251, 2169, 274, 1438, 324, 311, 254, 3621, 282, 5566, 286, 3054, 254, 2546, 6163, 1269, 19836, 248, 743, 2629, 274, 20873, 14, 533, 310, 5316, 2169, 274, 2701, 3177, 16, 839, 476, 2602, 785, 328, 254, 5199, 1420, 23004, 8755, 390, 811, 1041, 248, 743, 580, 327, 587, 7957, 353, 390, 1594, 286, 368, 476, 513, 327, 3238, 274, 20873, 16, 188, 22302, 340, 28, 10078, 368, 751, 665, 12854, 432, 2430, 254, 2479, 274, 843, 1789, 751, 2818, 276, 254, 2546, 6163, 33, 4772, 368, 3854, 597, 254, 1110, 668, 34127, 14, 830, 14, 353, 457, 85, 2169, 274, 9817, 327, 626, 457, 85, 436, 34127, 6163, 276, 254, 2546, 6163, 532, 360, 1038, 457, 86, 452, 14, 324, 4090, 14, 747, 427, 535, 462, 18727, 276, 626, 390, 688, 642, 1623, 4081, 390, 1623, 4489, 41092, 16, 188, 23741, 28, 310, 1848, 457, 86, 2479, 29556, 2019, 713, 327, 2413, 274, 1789, 16, 310, 865, 248, 2187, 274, 836, 452, 643, 276, 254, 2546, 6163, 324, 248, 1205, 16, 1547, 457, 251, 626, 276, 338, 16, 26, 16, 25, 286, 3061, 248, 2187, 274, 729, 403, 626, 276, 338, 16, 26, 16, 24, 286, 1002, 4182, 683, 327, 16, 1838, 14, 310, 457, 79, 417, 4414, 2056, 670, 254, 34127, 6163, 2144, 276, 16, 3683, 274, 836, 1789, 452, 3061, 643, 626, 324, 248, 1205, 286, 12106, 1623, 23982, 974, 1996, 12106, 369, 960, 729, 390, 353, 4168, 963, 2151, 286, 835, 353, 811, 2169, 274, 10146, 561, 286, 11473, 626, 16, 188, 2515, 14, 310, 1141, 327, 457, 85, 628, 274, 254, 1840, 311, 327, 12106, 15, 2927, 14, 843, 1125, 942, 900, 254, 34127, 6163, 33, 26742, 417, 1480, 1125, 16, 1838, 14, 603, 353, 457, 85, 626, 14, 248, 11, 942, 7537, 668, 14, 286, 835, 353, 2427, 457, 86, 751, 4168, 328, 14, 593, 353, 2427, 457, 86, 751, 5360, 14, 533, 2034, 942, 1038, 457, 86, 961, 282, 889, 353, 533, 2034, 353, 2427, 457, 86, 751, 4168, 328, 29, 353, 457, 85, 2169, 274, 248, 5713, 16, 1286, 353, 457, 85, 248, 2978, 8755, 390, 248, 2978, 2115, 835, 368, 1038, 457, 86, 961, 282, 889, 353, 286, 835, 12106, 5441, 282, 785, 328, 353, 16, 188, 22302, 340, 28, 1223, 835, 14, 603, 368, 497, 282, 5228, 353, 368, 650, 21649, 321, 9888, 272, 8755, 327, 20873, 573, 14, 977, 33, 188, 23741, 28, 11421, 14, 286, 327, 457, 85, 1837, 14, 977, 33, 731, 457, 85, 2169, 274, 747, 769, 3885, 14, 360, 1038, 457, 86, 961, 282, 513, 2654, 436, 8755, 1397, 5919, 14, 12106, 457, 85, 14040, 254, 2063, 276, 4175, 1090, 14, 4895, 360, 933, 24844, 353, 561, 14, 310, 1038, 457, 86, 865, 16, 188, 22302, 340, 28, 11421, 16, 2003, 24437, 479, 274, 436, 5156, 1470, 310, 811, 3156, 597, 432, 9768, 3430, 3836, 248, 4422, 274, 1090, 3502, 28, 347, 43508, 457, 85, 2546, 6163, 311, 248, 306, 46893, 666, 750, 457, 85, 811, 6607, 561, 254, 948, 327, 14, 747, 368, 457, 251, 3853, 14, 248, 2187, 274, 254, 4866, 311, 4175, 390, 3460, 390, 624, 1090, 1668, 286, 311, 417, 32837, 20873, 2063, 286, 4895, 311, 417, 248, 20873, 15, 759, 8755, 532, 14, 324, 248, 2187, 274, 836, 4462, 360, 457, 251, 4864, 668, 14, 353, 811, 2427, 457, 86, 751, 5023, 16, 188, 23741, 28, 11421, 16, 1547, 457, 307, 1652, 282, 513, 353, 387, 688, 1110, 16, 188, 23741, 28, 1664, 457, 85, 643, 624, 2241, 668, 353, 14, 747, 436, 5156, 1470, 286, 642, 942, 452, 749, 14, 769, 1212, 933, 24844, 436, 561, 286, 24844, 327, 561, 1397, 310, 1141, 11533, 457, 85, 811, 1652, 282, 513, 353, 16, 8718, 603, 360, 751, 21553, 34750, 248, 1612, 11861, 91, 387, 248, 7847, 14, 345, 457, 619, 811, 1242, 282, 513, 4866, 29, 345, 457, 85, 1652, 4374, 2298, 16, 188, 22302, 340, 28, 310, 946, 2049, 343, 254, 11558, 250, 3626, 16468, 286, 310, 865, 327, 596, 457, 251, 7028, 282, 563, 6214, 343, 254, 16448, 5251, 14, 1826, 14083, 2701, 254, 2055, 390, 417, 593, 596, 457, 251, 7028, 282, 1041, 248, 2055, 276, 327, 3758, 16, 3646, 282, 751, 254, 3894, 14174, 14, 593, 282, 3856, 16, 310, 1141, 670, 436, 5156, 1470, 369, 3737, 14, 248, 2187, 274, 942, 497, 22096, 3108, 353, 3853, 14, 769, 6332, 14, 6898, 14, 10619, 14, 360, 933, 513, 1594, 668, 436, 1756, 286, 310, 1038, 457, 86, 1141, 2626, 555, 1623, 4251, 16, 188, 23741, 28, 1664, 369, 248, 1612, 2298, 274, 2241, 14, 310, 1141, 14, 1063, 20873, 374, 16, 18, 16, 4772, 14, 603, 368, 457, 251, 1438, 282, 24844, 2626, 561, 14, 1315, 457, 85, 513, 353, 1012, 16, 1268, 14, 310, 1038, 457, 86, 1141, 2626, 1652, 29466, 561, 16, 839, 1652, 44911, 3537, 286, 248, 1755, 15243, 286, 688, 642, 4866, 14, 532, 360, 1311, 452, 272, 34127, 6163, 16, 188 ]

[ 1, 16212, 16, 0, 46, 17160, 10452, 14934, 3473, 36181, 14, 813, 18, 274, 32110, 5998, 4811, 7025, 14, 3793, 576, 14, 374, 18, 19, 27, 387, 4087, 67, 2421, 8482, 5044, 16, 188, 21422, 1524, 2497, 497, 2828, 328, 7998, 14, 3793, 813, 14, 374, 18, 19, 27, 14, 387, 2948, 2052, 23031, 15513, 1524, 8832, 14, 338, 18, 27, 411, 16, 13422, 5555, 14, 32095, 31308, 14, 343, 3439, 16, 17731, 7752, 1000, 1979, 15114, 16, 5225, 420, 3444, 276, 254, 15710, 1928, 41616, 6240, 35445, 14, 374, 25, 21, 18, 15710, 6240, 8443, 14, 32095, 31308, 14, 18921, 495, 18, 24, 22, 20, 16, 188, 13348, 273, 348, 23157, 1234, 43015, 497, 26041, 36181, 14, 33848, 592, 36181, 14, 10722, 32814, 766, 14, 34210, 91, 32814, 766, 14, 5330, 10978, 286, 45985, 26357, 16, 188, 46, 17160, 369, 5522, 4029, 719, 14, 338, 27, 22, 26, 14, 276, 32095, 31308, 14, 254, 5952, 274, 254, 3447, 5330, 7005, 14934, 3473, 286, 20936, 5576, 26357, 14934, 3473, 16, 27118, 11298, 32095, 31308, 4704, 4580, 286, 26474, 22812, 4580, 14, 37122, 343, 248, 21081, 367, 25211, 45879, 4110, 16, 188, 2899, 4168, 324, 374, 27, 1090, 387, 12155, 466, 443, 16, 18091, 4568, 20104, 8667, 16, 1469, 369, 248, 3442, 274, 19558, 457, 85, 31257, 28958, 6240, 16, 1469, 11042, 4731, 254, 18010, 14, 616, 12068, 286, 2367, 276, 616, 15350, 16, 1469, 573, 248, 5230, 8356, 286, 248, 1247, 12856, 286, 369, 7434, 1062, 1181, 16, 1469, 587, 321, 9568, 407, 616, 1963, 286, 3732, 16, 496, 1596, 282, 616, 4507, 27118, 369, 28860, 276, 2393, 407, 616, 3240, 14, 2436, 2048, 2125, 36181, 14, 10237, 9680, 7385, 14, 32454, 9763, 29, 286, 12830, 14, 5330, 33516, 14934, 3473, 14, 22119, 16, 286, 500, 16, 23274, 769, 45582, 666, 14934, 3473, 16, 188, 2899, 311, 15694, 407, 616, 5769, 14, 500, 16, 331, 16, 36181, 29, 18808, 14, 24249, 1442, 23200, 36181, 274, 32110, 5998, 286, 1469, 8579, 36181, 274, 35389, 29, 18360, 14, 37697, 31259, 1078, 274, 32095, 31308, 14, 19558, 9247, 651, 405, 274, 32095, 31308, 286, 367, 1781, 91, 7785, 4464, 274, 4890, 14, 29, 1241, 37163, 14, 309, 280, 569, 36181, 14, 26041, 36181, 286, 33848, 592, 36181, 29, 1247, 4785, 6816, 14, 10978, 36181, 29, 248, 1162, 274, 642, 17268, 286, 1125, 3732, 16, 188, 11455, 2052, 23031, 15513, 1524, 8832, 14, 338, 18, 27, 411, 16, 13422, 5555, 14, 32095, 31308, 314, 25, 18, 24, 11, 22, 23, 21, 15, 20, 24, 20, 24, 14, 311, 276, 4045, 274, 16209, 16, 27101, 441, 387, 8061, 16, 79, 549, 298, 23031, 2265, 1524, 74, 6637, 16, 679, 282, 855, 254, 3783, 11811, 8521, 16, 0, 4119, 2479, 327, 10032, 36395, 843, 1181, 5598, 311, 282, 5291, 742, 23896, 807, 321, 1157, 324, 2713, 16, 41432, 432, 254, 5942, 6244, 2421, 1309, 327, 6211, 843, 1125, 2819, 596, 1339, 2849, 282, 742, 254, 23896, 432, 248, 289, 1344, 42491, 311, 1181, 1755, 1460, 683, 4501, 843, 1125, 23896, 254, 289, 1344, 42491, 954, 1547, 1309, 942, 513, 417, 1623, 23896, 532, 513, 2033, 596, 452, 282, 2849, 324, 495, 18, 2819, 16, 17194, 22074, 3093, 16, 3086, 6558, 24111, 749, 254, 8680, 807, 942, 1041, 32464, 9898, 16, 1469, 749, 28, 347, 1212, 872, 248, 624, 3458, 5535, 282, 942, 282, 1316, 286, 20763, 10890, 23896, 432, 10032, 36395, 449, 188, 510, 8381, 387, 254, 10032, 7172, 407, 495, 18, 18, 1015, 942, 16, 3683, 900, 248, 8680, 1269, 47469, 1460, 29, 688, 248, 8680, 343, 47469, 1460, 29, 286, 254, 1515, 497, 248, 8680, 343, 248, 6915, 282, 843, 1125, 2819, 274, 3684, 7618, 650, 5291, 742, 254, 23896, 276, 254, 2653, 16, 17938, 1460, 328, 254, 1364, 8680, 248, 3306, 650, 282, 2849, 324, 763, 2942, 282, 5291, 742, 254, 23896, 276, 248, 3893, 34826, 2204, 42491, 16, 380, 942, 663, 573, 254, 36395, 343, 254, 5598, 1460, 2653, 343, 254, 1603, 383, 23896, 16, 2147, 612, 5161, 12178, 40506, 5330, 749, 28, 347, 8255, 1831, 7618, 311, 1594, 4679, 3997, 476, 282, 14, 533, 311, 2075, 360, 7925, 779, 2819, 274, 39194, 7618, 282, 5291, 2653, 23896, 449, 0, 1853, 33832, 2139, 44562, 338, 18, 18, 14997, 1090, 14, 28606, 6881, 555, 3446, 1594, 7573, 18178, 282, 1579, 254, 7906, 380, 32665, 22033, 10771, 890, 17387, 16, 7023, 338, 18, 18, 274, 836, 13040, 8235, 587, 2378, 321, 4061, 286, 756, 374, 26, 403, 12846, 324, 3605, 3840, 16, 510, 10771, 890, 17387, 17089, 26520, 282, 33832, 27198, 9714, 16428, 21241, 286, 282, 580, 274, 254, 944, 20185, 8219, 276, 254, 3670, 654, 2803, 16, 731, 311, 254, 7981, 485, 274, 33832, 27198, 2553, 285, 5964, 1409, 282, 3831, 368, 440, 1054, 18318, 2150, 286, 272, 25138, 1805, 834, 14, 7465, 4306, 16, 826, 3587, 17387, 32665, 22033, 3277, 248, 2868, 274, 10473, 286, 19064, 2150, 247, 7817, 282, 580, 274, 254, 944, 8307, 8235, 276, 33832, 27198, 2803, 254, 1583, 16, 890, 378, 12617, 16, 380, 3132, 1583, 16, 890, 311, 45781, 324, 9888, 5694, 14, 260, 22832, 42417, 286, 25586, 14643, 286, 13471, 1285, 254, 338, 27, 20, 18, 85, 286, 338, 27, 21, 18, 85, 16, 380, 1839, 274, 254, 1096, 1143, 353, 272, 7950, 17555, 286, 272, 35167, 13320, 274, 5529, 16428, 16, 7865, 14, 2410, 22534, 46638, 369, 593, 2584, 343, 254, 378, 12617, 14, 345, 1143, 353, 254, 3132, 19189, 1096, 16, 11518, 274, 254, 338, 18, 18, 8235, 276, 254, 32665, 22033, 10771, 890, 17387, 4288, 1594, 15645, 7323, 248, 5158, 274, 254, 16428, 7126, 432, 8776, 8739, 27133, 7041, 25986, 338, 27, 21, 18, 1583, 16, 890, 2009, 24839, 5332, 1096, 16, 731, 311, 248, 7126, 327, 4288, 22762, 6109, 14, 1851, 867, 2006, 3759, 5694, 14, 17246, 695, 1619, 276, 33832, 27198, 2803, 16, 380, 3132, 7126, 369, 7722, 1285, 19784, 2893, 328, 254, 1096, 533, 1311, 15380, 2966, 286, 1012, 436, 13916, 5964, 5158, 274, 33832, 27198, 2835, 555, 1102, 248, 9665, 1683, 16, 330, 9820, 274, 5372, 432, 254, 7126, 311, 34392, 8427, 276, 254, 33832, 2139, 21656, 834, 26658, 14, 6069, 248, 5158 ]

[ 1, 512, 1242, 432, 387, 436, 671, 626, 16, 347, 188, 1934, 563, 1045, 360, 403, 387, 45320, 12333, 254, 3132, 2426, 14, 2304, 254, 18914, 2734, 254, 14223, 276, 39273, 14, 942, 5103, 282, 20012, 580, 274, 254, 944, 1726, 2115, 28, 6191, 15256, 3894, 6750, 16, 21949, 67, 14, 6524, 276, 1316, 282, 520, 3002, 14, 835, 254, 607, 4525, 9819, 495, 14, 11719, 451, 286, 688, 31666, 3306, 959, 33747, 14, 701, 369, 276, 1017, 2079, 4405, 1110, 7299, 14, 8353, 282, 254, 38233, 2820, 841, 276, 254, 13416, 274, 9137, 19816, 14, 286, 2445, 254, 1096, 2176, 626, 434, 3282, 16, 347, 1982, 310, 278, 723, 925, 4264, 254, 8624, 14, 310, 452, 282, 15907, 328, 282, 5155, 390, 563, 14, 353, 434, 618, 2615, 16, 347, 38, 437, 5234, 14, 347, 12815, 2956, 324, 11837, 12854, 311, 512, 345, 476, 5230, 27147, 4212, 3762, 14, 532, 1063, 7353, 248, 743, 41169, 14, 345, 2102, 369, 248, 1755, 1423, 4612, 14, 942, 3673, 11504, 353, 16, 2646, 615, 278, 723, 925, 4950, 14, 311, 310, 254, 944, 5230, 9256, 16, 9127, 282, 520, 3002, 16, 22044, 188, 20278, 14, 374, 24, 14, 311, 580, 465, 70, 12333, 343, 254, 6081, 1401, 14, 20268, 1912, 18914, 276, 374, 18, 18, 20, 14, 254, 11912, 5968, 687, 338, 24, 1090, 274, 5095, 14, 4574, 13664, 687, 576, 18, 16, 374, 7, 328, 290, 5981, 6453, 3021, 16, 4186, 248, 1623, 2784, 2289, 14, 11837, 668, 254, 9349, 6139, 843, 282, 5155, 387, 254, 4525, 274, 254, 2941, 14, 670, 11912, 9039, 282, 1852, 775, 282, 254, 16606, 1476, 9299, 14, 11837, 587, 321, 8568, 265, 10939, 14, 417, 974, 476, 625, 4010, 1093, 1887, 15, 1554, 3648, 14, 254, 1668, 368, 1441, 14, 532, 974, 345, 669, 961, 282, 321, 343, 618, 11912, 14, 282, 4503, 520, 4950, 16, 188, 3294, 254, 2289, 274, 890, 14, 18914, 311, 274, 520, 390, 616, 1193, 3109, 858, 45320, 12333, 26784, 9471, 6494, 4652, 343, 3648, 14, 756, 603, 254, 8462, 933, 3238, 4950, 13182, 328, 254, 16406, 434, 8014, 587, 1845, 321, 2131, 16, 4425, 18318, 254, 32651, 14, 18914, 34392, 749, 28, 347, 9203, 2666, 21647, 286, 310, 369, 248, 5520, 8826, 14, 512, 1242, 432, 387, 436, 671, 626, 16, 347, 188, 1934, 563, 671, 324, 45320, 12333, 254, 3132, 2426, 14, 670, 254, 18914, 2734, 254, 3894, 276, 39273, 14, 942, 5103, 282, 20012, 811, 668, 254, 944, 1726, 2115, 28, 6191, 14247, 6750, 16, 21949, 67, 14, 6524, 282, 1336, 520, 3002, 14, 835, 254, 607, 4525, 9819, 495, 14, 11719, 451, 286, 688, 31666, 3306, 959, 348, 963, 14, 701, 369, 276, 8251, 1017, 2079, 4405, 1110, 7299, 14, 2731, 387, 254, 38233, 2820, 841, 276, 282, 254, 13416, 274, 9137, 13443, 14, 286, 2445, 254, 1096, 2176, 626, 434, 3282, 16, 347, 1982, 310, 278, 723, 925, 4264, 254, 8624, 14, 310, 452, 282, 2536, 282, 5155, 390, 2055, 14, 353, 434, 618, 2615, 16, 347, 38, 437, 5234, 14, 347, 12815, 2956, 324, 11837, 12854, 311, 512, 596, 476, 5230, 27147, 4212, 7758, 14, 532, 1063, 7353, 248, 41169, 14, 345, 2102, 369, 272, 1002, 1755, 1423, 4612, 14, 942, 403, 2692, 282, 11504, 353, 16, 2646, 254, 278, 723, 925, 4950, 14, 311, 310, 254, 944, 8418, 9256, 16, 9127, 282, 520, 3002, 16, 22044, 188, 53, 739, 14, 374, 24, 14, 311, 580, 465, 70, 12333, 343, 254, 6081, 1401, 14, 20268, 1146, 18914, 276, 374, 18, 18, 20, 14, 615, 11912, 5968, 687, 24452, 1090, 274, 5095, 14, 4574, 13664, 687, 576, 18, 16, 374, 7, 328, 290, 5981, 1280, 3021, 16, 4186, 248, 6508, 2784, 2289, 14, 11837, 3665, 254, 9349, 6139, 843, 282, 5155, 324, 254, 4525, 274, 254, 6131, 14, 670, 11912, 9039, 282, 1852, 775, 282, 254, 16606, 1476, 4584, 14, 11837, 587, 321, 8568, 265, 6037, 2104, 14, 417, 974, 476, 625, 563, 282, 915, 1093, 1887, 15, 1554, 3648, 14, 254, 1668, 368, 403, 14, 532, 974, 345, 669, 30934, 282, 321, 343, 618, 11912, 14, 282, 4503, 520, 4950, 16, 188, 3294, 254, 2289, 274, 890, 14, 18914, 311, 274, 520, 1062, 1193, 3109, 858, 45320, 12333, 26784, 9471, 6494, 274, 3648, 14, 756, 603, 254, 8462, 933, 3238, 4950, 13182, 328, 254, 16406, 434, 8014, 587, 2411, 2131, 16, 4425, 18318, 254, 32651, 14, 18914, 34392, 749, 28, 347, 9203, 839, 369, 248, 5520, 8826, 14, 512, 1242, 432, 626, 16, 347, 188, 1934, 563, 671, 324, 45320, 12333, 254, 3132, 2426, 14, 2304, 254, 18914, 2734, 254, 19791, 3894, 276, 39273, 14, 942, 5103, 282, 20012, 580, 274, 254, 944, 1726, 2115, 28, 6191, 15256, 3894, 6750, 16, 21949, 67, 14, 6524, 282, 1336, 520, 3002, 14, 835, 665, 607, 4525, 9819, 495, 14, 11719, 451, 286, 688, 31666, 3306, 959, 10214, 14, 701, 369, 276, 1017, 2079, 30185, 4405, 1110, 7299, 14, 2731, 387, 254, 38233, 2820, 841, 276, 254, 13416, 274, 9137, 1305, 14, 286, 2445, 254, 17404, 626, 434, 3282, 16, 347, 1982, 310, 278, 723, 925, 324, 254, 8624, 14, 310, 452, 282, 5053, 282, 5155, 390, 563, 14, 353, 434, 618, 2615, 16, 347, 38, 437, 749, 14, 347, 12815, 2956, 324, 11837, 12854, 311, 512, 345, 311, 2041, 282, 5230, 27147, 4212, 7758, 14, 532, 1063, 7353, 688, 3563, 274, 41169, 14, 345, 2102, 369, 248, 3564, 1423, 4612, 14, 942, 452, 248, 14542, 282, 11504, 353, 16, 2646, 520, 390, 616, 278, 723, 925, 4950, 14, 311, 310, 254, 944, 9138, 9256, 16, 9127, 282, 615, 3002, 16, 22044, 0, 47, 2278, 46349, 14, 11725, 16, 1849, 1260, 248, 1708, 2142, 10825, 14, 15128, 6241, 2048, 7236, 14073, 388, 2867, 1539, 369, 387, 254, 3925, 274, 688, 274, 254, 944, 31383, 5861, 282, 45719, 286, 11171, 15128, 457, 85, 1493, 5694, 1533, 16, 496, 374, 18, 19, 23, 14, 1205, 4181, 4916, 324, 254, 13791, 388, 2867, 1539, 369, 254, 6652, 274, 1868, 276, 248, 14673, 3854, 687, 254, 12974, 274, 2142, 5694, 16, 2936, 3780, 369, 669, 19023, 324, 9904, 276, 254, 33049, 274, 248, 1364, 6830 ]

[ 1, 16, 731, 3032, 327, 254, 12095, 555, 1845, 643, 4667, 286, 641, 580, 369, 5320, 282, 1354, 597, 254, 2759, 16, 839, 452, 15694, 974, 274, 4541, 1953, 407, 248, 6948, 260, 6525, 286, 669, 254, 3398, 14, 532, 626, 311, 10387, 36009, 432, 6166, 3569, 21871, 4476, 282, 321, 28, 347, 4816, 852, 368, 4349, 248, 2779, 1269, 742, 15, 31943, 11775, 603, 368, 452, 248, 4807, 282, 5439, 859, 4539, 2211, 14, 626, 403, 8088, 274, 819, 3487, 1525, 4136, 657, 313, 4239, 286, 1125, 274, 254, 9630, 390, 30689, 452, 9163, 14, 974, 596, 3356, 328, 729, 324, 2876, 282, 785, 14, 13594, 17268, 14, 7089, 273, 2086, 668, 14, 18506, 286, 22469, 16, 731, 311, 6508, 7996, 282, 7274, 2858, 14583, 324, 1034, 15, 38118, 1096, 21287, 14, 286, 830, 360, 3051, 311, 1480, 2019, 432, 819, 248, 1096, 5439, 282, 1041, 436, 2212, 33924, 16, 5066, 626, 311, 248, 2803, 274, 8235, 1129, 362, 13971, 1659, 328, 836, 1096, 21287, 16, 839, 452, 3477, 282, 8617, 248, 11930, 18914, 532, 836, 14, 1480, 14, 403, 593, 2019, 1919, 432, 830, 360, 3051, 14, 327, 436, 311, 3256, 417, 272, 4360, 16, 496, 1596, 14, 11930, 6568, 1114, 403, 593, 1330, 327, 756, 254, 7794, 9163, 4793, 276, 729, 387, 512, 16, 1664, 311, 417, 2151, 2245, 282, 4513, 254, 30589, 327, 650, 1862, 248, 2034, 274, 2876, 1683, 432, 254, 18914, 14, 286, 15829, 14, 436, 311, 417, 14910, 4003, 16, 188, 1212, 403, 2117, 327, 8583, 9, 11775, 476, 756, 321, 2696, 348, 272, 4360, 2304, 331, 3141, 311, 276, 3377, 14, 286, 1002, 327, 587, 2353, 10387, 3452, 3175, 16, 1691, 360, 403, 417, 2117, 311, 748, 360, 403, 3159, 282, 513, 343, 772, 9163, 276, 254, 26052, 16, 323, 437, 729, 33, 1760, 1714, 729, 33, 4762, 729, 9118, 328, 9931, 1269, 10808, 11775, 33, 380, 8235, 587, 417, 3256, 15099, 3, 1664, 807, 321, 248, 4403, 274, 3997, 3256, 20807, 282, 2014, 665, 28649, 20353, 726, 390, 282, 15958, 7624, 274, 11930, 2802, 1863, 254, 2563, 311, 11201, 16, 188, 17041, 1726, 311, 327, 254, 43841, 3103, 403, 1143, 6425, 274, 254, 7477, 327, 8583, 1041, 282, 254, 6795, 274, 254, 15476, 830, 596, 3051, 16, 1286, 596, 476, 5439, 615, 8235, 15353, 2734, 615, 8841, 14, 836, 942, 587, 889, 254, 1922, 16527, 286, 3134, 328, 3071, 14, 1269, 6069, 1996, 34046, 390, 16942, 282, 254, 13558, 390, 42106, 3280, 597, 1096, 21287, 16, 1286, 596, 452, 282, 2055, 615, 8235, 11054, 14, 596, 774, 348, 963, 8745, 561, 274, 3748, 390, 889, 3134, 276, 642, 4902, 16, 657, 313, 4239, 311, 248, 2703, 3748, 343, 272, 32691, 1017, 1162, 274, 8583, 3686, 14, 286, 2156, 669, 2367, 1525, 254, 14069, 5008, 390, 9884, 16, 826, 17394, 282, 254, 13736, 294, 1593, 14, 6795, 286, 5098, 274, 254, 3748, 8906, 16, 1678, 14, 974, 274, 657, 313, 4239, 434, 14069, 12454, 14, 1125, 274, 254, 9648, 403, 11357, 2493, 14, 2824, 254, 6234, 286, 452, 6569, 10305, 2218, 4402, 22580, 387, 254, 2824, 390, 10305, 16, 380, 942, 276, 729, 10443, 328, 328, 15, 31943, 11775, 276, 1316, 282, 321, 2041, 282, 3051, 626, 14, 286, 436, 311, 2075, 248, 8583, 9, 11775, 6787, 311, 687, 21189, 14, 3202, 286, 248, 1708, 11358, 282, 321, 28048, 12581, 331, 3141, 16, 731, 311, 671, 254, 6650, 1162, 274, 8583, 9, 15117, 403, 3611, 286, 2181, 2584, 282, 1862, 729, 1305, 16, 188, 1853, 248, 14147, 274, 657, 14361, 2130, 5555, 14, 310, 5041, 2560, 13994, 14951, 343, 30342, 16, 310, 715, 2056, 327, 747, 479, 14, 512, 274, 254, 3748, 8906, 22316, 398, 1354, 1033, 4954, 282, 2849, 282, 657, 313, 4239, 434, 1247, 16527, 14, 8735, 14, 15224, 266, 14, 1103, 4271, 1086, 14, 254, 14699, 11839, 286, 593, 328, 16, 839, 1920, 254, 3748, 9091, 14, 6761, 772, 2501, 11841, 286, 1354, 15125, 276, 772, 26809, 16, 14168, 248, 1096, 311, 23691, 628, 274, 11332, 434, 1464, 836, 1842, 14, 286, 12991, 248, 8583, 11775, 6787, 311, 593, 38890, 5785, 4607, 16, 17008, 254, 6282, 587, 321, 324, 1093, 8235, 282, 321, 24003, 276, 642, 9931, 14, 8256, 38903, 282, 254, 8583, 286, 2328, 615, 4701, 2746, 348, 963, 16, 8783, 2304, 452, 310, 1873, 3972, 11775, 276, 254, 3748, 434, 15803, 9931, 282, 2759, 665, 5274, 390, 21406, 14, 942, 403, 417, 26956, 390, 12247, 1310, 366, 14, 596, 811, 961, 282, 3051, 14, 5439, 286, 321, 248, 11897, 628, 274, 772, 3748, 16, 188, 5639, 310, 27431, 366, 3148, 327, 30342, 555, 749, 16, 310, 1480, 3051, 276, 254, 8906, 274, 3748, 286, 715, 272, 3812, 2525, 274, 512, 254, 657, 313, 4239, 8946, 428, 16527, 14, 14696, 14, 14699, 11839, 16, 2666, 2086, 512, 2849, 282, 254, 1922, 2079, 390, 4149, 407, 1643, 16, 310, 889, 618, 1096, 8334, 324, 6104, 282, 785, 286, 888, 16, 310, 872, 282, 321, 2041, 282, 5439, 2734, 618, 2342, 286, 715, 5058, 282, 2014, 248, 5118, 2332, 324, 248, 8583, 9404, 327, 4343, 479, 282, 513, 593, 16, 1286, 331, 3141, 311, 3854, 276, 1269, 248, 8583, 11775, 6787, 14, 626, 587, 321, 248, 8534, 2820, 1040, 343, 254, 5615, 1903, 9931, 276, 657, 313, 4239, 4419, 11775, 7282, 348, 3748, 8906, 8583, 997, 324, 642, 4466, 16, 10948, 360, 933, 2706, 772, 1193, 15557, 286, 15958, 282, 2014, 28649, 21729, 310, 811, 476, 625, 2780, 254, 11930, 807, 9317, 580, 6787, 1269, 254, 642, 16, 731, 434, 13737, 560, 474, 16, 0, 9928, 1928, 41616, 42838, 568, 403, 7413, 343, 254, 769, 37, 13236, 386, 43546, 276, 254, 42178, 267, 39676, 1397, 731, 311, 1800, 24, 18, 25, 276, 380, 1928, 41616, 388, 1088, 2047, 16, 1286, 436, 15411, 311, 900, 387, 512, 353, 311, 2692, 900, 1285, 254, 801, 390, 1250, 44159, 276, 4109, 348, 248, 1026, 282, 3034, 254, 743, 802, 16, 731, 311, 628, 274, 254, 331, 13236, 386, 48221, 268, 6454, 3591, 407, 2436, 42178, 286, 900, 407, 8157, 1322, 276, 9389, 11401, 1544, 338, 25, 23, 23, 16, 188, 510, 331, 13236, 386, 15411, 311, 20518 ]

[ 1, 321, 248, 15096, 14, 353, 457, 85, 671, 282, 1649, 633, 7697, 713, 2181, 286, 4503, 16, 46640, 14, 603, 368, 457, 251, 4221, 436, 368, 457, 251, 4558, 282, 1354, 254, 1689, 3109, 16, 28319, 441, 2966, 16, 0, 18467, 1080, 11884, 261, 2189, 16, 16828, 268, 324, 7389, 3149, 314, 23, 9, 22, 4, 286, 758, 481, 2514, 1921, 16, 34651, 45909, 286, 46622, 387, 35903, 16, 22373, 407, 44184, 8318, 839, 67, 733, 276, 399, 6203, 739, 67, 14, 2357, 16, 418, 1943, 14, 10726, 16, 0, 35, 5131, 274, 347, 18274, 276, 3539, 4, 188, 25672, 640, 274, 347, 18274, 276, 3539, 4, 188, 20530, 640, 274, 347, 18274, 276, 3539, 4, 188, 37, 16935, 30220, 274, 347, 18274, 276, 3539, 4, 188, 4620, 555, 7846, 695, 440, 35991, 14, 440, 325, 38207, 10786, 3490, 507, 1426, 428, 286, 12756, 434, 4541, 274, 1770, 9917, 282, 254, 4873, 14, 1582, 6817, 324, 272, 8223, 434, 24691, 14, 756, 772, 11570, 16, 188, 20452, 328, 254, 3112, 555, 11448, 643, 2152, 1181, 1755, 683, 436, 16, 188, 3912, 274, 254, 1640, 274, 254, 3542, 21161, 11021, 14, 867, 276, 9476, 276, 338, 27, 23, 18, 14, 45193, 315, 3165, 15, 18699, 281, 286, 637, 918, 971, 6753, 19524, 434, 367, 1049, 771, 412, 6874, 276, 254, 16645, 32503, 274, 695, 11692, 9728, 8977, 328, 248, 13229, 16, 188, 510, 3481, 1115, 407, 15446, 712, 10914, 286, 254, 3758, 274, 15906, 17170, 403, 1143, 597, 7913, 274, 1985, 2073, 15, 17879, 24651, 274, 1910, 3753, 327, 1563, 1612, 670, 5845, 593, 1125, 2008, 16, 188, 35, 40188, 15, 25552, 889, 274, 3026, 16, 11166, 254, 12433, 311, 4805, 286, 7011, 14, 17170, 1311, 34191, 19266, 274, 2181, 687, 19555, 16, 188, 41, 3318, 14, 17266, 14, 20824, 315, 4950, 14, 17170, 434, 12887, 3539, 8483, 67, 311, 580, 274, 254, 1640, 1727, 446, 398, 274, 695, 18548, 16, 188, 1130, 434, 248, 10650, 684, 37023, 21161, 9, 2073, 14164, 16, 188, 47858, 286, 712, 10914, 2023, 248, 785, 327, 4701, 597, 282, 695, 3929, 14, 17695, 254, 42858, 11929, 3373, 274, 2073, 286, 695, 3405, 7918, 2045, 14, 348, 7212, 407, 763, 4136, 5645, 16, 188, 30141, 1723, 274, 347, 18274, 276, 3539, 4, 0, 1516, 41332, 22585, 403, 39719, 282, 1901, 2624, 3920, 46865, 2867, 12594, 2400, 432, 254, 10386, 18535, 262, 5093, 401, 1857, 28, 11722, 92, 518, 13909, 14, 13644, 515, 958, 14, 1201, 419, 1446, 67, 11363, 2778, 286, 596, 403, 274, 254, 1057, 4747, 348, 729, 593, 368, 476, 4214, 2374, 603, 254, 34869, 311, 276, 3709, 343, 641, 872, 282, 5080, 254, 10423, 14, 532, 4316, 327, 1004, 2107, 41332, 5304, 2427, 457, 86, 452, 282, 1901, 254, 4445, 34869, 311, 11479, 328, 16, 330, 5167, 18599, 282, 1115, 2482, 37948, 343, 633, 16406, 16, 188, 1516, 1830, 3144, 343, 2537, 12801, 5784, 14002, 314, 329, 34419, 11, 282, 889, 343, 254, 41332, 22585, 16, 0, 510, 17635, 21241, 274, 254, 1427, 35445, 276, 6338, 7495, 7078, 254, 3983, 274, 272, 3781, 1303, 15, 45658, 5833, 324, 2479, 274, 254, 2803, 14, 3638, 286, 4184, 274, 1416, 276, 36523, 1869, 22928, 1779, 5044, 16, 188, 1130, 555, 643, 4941, 1090, 1544, 436, 5833, 2507, 85, 2479, 286, 4584, 5495, 14, 348, 963, 348, 1240, 18506, 286, 6319, 7281, 286, 4376, 407, 254, 9031, 2206, 16, 188, 2432, 497, 2102, 763, 5384, 12586, 282, 254, 1427, 35445, 10648, 276, 4452, 286, 1012, 254, 2543, 9748, 2849, 369, 10648, 1525, 254, 5713, 29965, 25376, 1269, 378, 6434, 14, 533, 13037, 2080, 286, 539, 605, 909, 21241, 14, 8698, 2803, 286, 20554, 533, 369, 2818, 713, 2868, 274, 9107, 3284, 1525, 436, 802, 457, 85, 12315, 274, 45910, 273, 5130, 331, 19764, 447, 276, 6338, 7495, 14, 36523, 16, 188, 510, 28795, 25866, 274, 15771, 4451, 473, 3633, 76, 1155, 281, 272, 1416, 23309, 286, 14794, 274, 22928, 1779, 5044, 5740, 12587, 254, 40772, 784, 2343, 2705, 274, 29301, 254, 8535, 4056, 447, 274, 254, 1427, 35445, 286, 274, 3466, 2113, 12604, 328, 8219, 663, 452, 1628, 272, 40772, 784, 2343, 10429, 276, 254, 6611, 286, 32007, 2803, 274, 6338, 7495, 15536, 282, 695, 39171, 14, 35767, 14, 9726, 14, 8698, 6315, 286, 254, 4311, 10227, 5799, 16, 380, 1427, 35445, 276, 6338, 7495, 650, 747, 282, 5552, 3997, 324, 3435, 286, 9375, 2628, 671, 343, 772, 4741, 21895, 286, 21403, 2873, 2328, 436, 802, 457, 85, 411, 32984, 276, 6338, 7495, 5384, 16, 731, 369, 248, 1247, 10986, 1851, 3997, 387, 772, 7292, 5867, 10746, 3, 0, 2300, 4109, 374, 14, 10041, 55, 12382, 286, 401, 9850, 274, 28939, 15, 14855, 4992, 4569, 19896, 2997, 7283, 18700, 18429, 23560, 3737, 254, 2838, 17629, 20113, 28, 330, 33175, 1991, 32212, 328, 1732, 11848, 16, 380, 2838, 2094, 23553, 3133, 327, 403, 7362, 1615, 2479, 432, 4445, 2912, 12983, 2025, 9015, 16, 188, 30747, 317, 457, 4136, 4020, 369, 327, 1225, 3555, 4569, 2632, 452, 4104, 276, 16558, 4317, 2107, 14877, 596, 452, 2254, 16, 750, 6930, 3460, 7674, 9999, 3555, 4569, 2479, 14, 819, 348, 931, 7940, 735, 1593, 14, 3367, 274, 21433, 14, 18741, 282, 25590, 24985, 14, 286, 2746, 282, 16064, 16, 188, 30747, 317, 749, 520, 6287, 4563, 311, 327, 14566, 587, 751, 8172, 32231, 10877, 265, 348, 248, 769, 6608, 5758, 14, 13283, 1480, 1181, 328, 254, 6813, 17436, 274, 248, 1748, 956, 274, 12140, 532, 3587, 3106, 1756, 286, 7537, 695, 7320, 282, 13787, 4264, 12983, 2025, 9015, 16, 750, 835, 5279, 14603, 324, 248, 2764, 4317, 3555, 4569, 28, 2683, 624, 328, 440, 34097, 4569, 29, 9234, 15, 1318, 531, 1399, 314, 10297, 11179, 5219, 43, 14, 254, 6901, 8707, 15, 40, 6641, 265, 14566, 557, 14888, 15596, 432, 9444, 286, 16280, 19573, 29, 390, 2683, 624, 328, 27639, 1794, 3177, 3520, 14, 8031, 14318, 14, 2099, 4731, 14, 3838, 16, 188, 12144, 15, 2523, 3555, 4569, 20778, 286, 6567, 9701, 274, 14566, 5329, 712, 1119, 2009, 37, 329, 16762, 23088, 351, 469, 457, 85, 4678, 15, 30011, 28, 769, 15442, 311, 4414, 977, 1397, 496, 248, 2306, 282, 20082, 17920, 8217 ]

[ 1, 380, 5461, 10832, 14228, 2602, 555, 248, 3837, 9220, 6268, 6163, 14, 286, 248, 3837, 13562, 867, 597, 324, 248, 2245, 4516, 16, 21370, 26318, 7296, 14531, 3419, 441, 512, 248, 26184, 713, 615, 41291, 276, 374, 18, 19, 23, 16, 188, 510, 33623, 6163, 311, 2057, 274, 1247, 14110, 14, 1648, 272, 2674, 9817, 2332, 274, 35200, 15, 250, 15, 5477, 6415, 747, 28107, 414, 286, 47416, 16, 4539, 2211, 14, 254, 33623, 6268, 6163, 3432, 625, 756, 2245, 15, 779, 1290, 343, 6415, 747, 740, 349, 37712, 14, 7296, 20628, 735, 304, 4488, 16, 254, 3525, 14, 286, 2636, 747, 22785, 9120, 40367, 286, 15897, 11752, 44686, 561, 254, 1581, 16, 2646, 512, 14, 603, 368, 1441, 10676, 276, 248, 2245, 4516, 324, 5534, 29083, 274, 671, 14, 368, 1797, 1652, 282, 452, 688, 4740, 276, 15, 29936, 14209, 282, 1336, 1477, 665, 1903, 671, 368, 452, 16, 188, 1212, 1441, 8814, 327, 254, 5461, 10832, 14228, 10538, 4699, 282, 4126, 380, 9598, 42864, 747, 254, 1515, 274, 441, 14, 3614, 360, 1797, 1652, 282, 11168, 327, 626, 311, 1594, 4325, 2978, 515, 668, 7290, 254, 6268, 1205, 1129, 276, 2245, 4684, 16, 839, 476, 625, 3236, 282, 3957, 748, 596, 1815, 274, 254, 2986, 3, 188, 1982, 368, 497, 328, 254, 5461, 10832, 14228, 14, 748, 580, 6268, 650, 368, 961, 282, 321, 2056, 282, 3217, 2049, 33, 19329, 441, 276, 254, 5536, 3, 188, 3513, 3683, 7927, 14437, 9289, 14980, 786, 3, 188, 1253, 1042, 6477, 276, 254, 10351, 1563, 33, 188, 35221, 668, 254, 31295, 3546, 620, 16, 0, 1630, 9912, 993, 32106, 943, 368, 1045, 276, 436, 12745, 3783, 13325, 14729, 2099, 16, 47994, 436, 13325, 14729, 2099, 14, 368, 1339, 3858, 254, 8195, 1360, 286, 751, 624, 7168, 683, 633, 27847, 16, 20877, 628, 276, 254, 271, 15982, 5527, 603, 368, 8195, 801, 368, 587, 3223, 248, 13325, 390, 248, 32194, 3821, 16, 3063, 417, 7537, 282, 14631, 633, 30589, 960, 254, 14631, 2704, 327, 368, 751, 324, 254, 801, 286, 1250, 1619, 286, 36147, 25852, 16, 380, 11967, 2099, 555, 338, 18, 11106, 417, 756, 282, 5527, 633, 13325, 14729, 6750, 532, 669, 282, 1315, 368, 2705, 17826, 324, 248, 1062, 1034, 671, 16, 47994, 436, 13325, 14729, 2099, 14, 368, 1339, 3858, 254, 8195, 1360, 286, 751, 624, 7168, 683, 633, 27847, 16, 7008, 759, 801, 282, 3223, 248, 13325, 390, 248, 32194, 3821, 16, 0, 12254, 3310, 1280, 254, 3398, 749, 276, 248, 3547, 3603, 7025, 327, 4507, 3854, 254, 3122, 286, 616, 19090, 4778, 282, 254, 4531, 16, 6123, 497, 10776, 14, 286, 254, 3122, 4811, 328, 3793, 495, 18, 16, 380, 4855, 434, 1580, 369, 417, 4598, 2066, 16, 188, 5283, 1401, 15089, 6166, 5043, 272, 5672, 286, 835, 17682, 3398, 16, 188, 46, 2248, 31266, 3398, 9572, 374, 21, 15, 2823, 15, 741, 21891, 3126, 28614, 4275, 286, 374, 22, 15, 2823, 15, 741, 399, 1089, 569, 7524, 328, 7025, 328, 7068, 274, 801, 15, 14179, 7498, 286, 1250, 15, 14179, 36643, 282, 6977, 1238, 3102, 16, 188, 1130, 369, 417, 1873, 603, 254, 763, 573, 15656, 16, 0, 35, 607, 5158, 867, 274, 7802, 652, 644, 91, 1464, 15, 10037, 1910, 28518, 5792, 2069, 4105, 343, 15350, 22571, 34943, 387, 254, 1708, 274, 254, 6003, 286, 9001, 14, 593, 368, 476, 16290, 729, 747, 248, 3112, 47629, 28518, 40472, 327, 434, 2732, 282, 36011, 561, 432, 520, 15659, 16, 188, 6690, 41449, 1464, 15, 3176, 28518, 2069, 4105, 2408, 763, 9001, 327, 403, 374, 4525, 1034, 343, 5866, 265, 15310, 286, 813, 4, 799, 494, 4525, 14, 763, 6003, 327, 403, 338, 26, 4, 1034, 343, 607, 16, 23, 4, 799, 494, 3448, 286, 248, 848, 4, 1034, 19004, 343, 248, 799, 494, 20435, 16, 188, 17140, 2450, 4024, 2069, 628, 14498, 327, 403, 1143, 343, 1837, 27829, 7802, 327, 587, 417, 2654, 286, 476, 321, 295, 3094, 802, 841, 802, 16, 188, 40, 910, 2886, 15516, 39832, 10375, 997, 867, 274, 14498, 327, 403, 5503, 324, 665, 3385, 46301, 37386, 2342, 14, 6911, 3815, 472, 26000, 9960, 390, 5690, 1089, 3, 188, 35, 607, 5158, 867, 274, 7802, 652, 644, 91, 1464, 15, 10037, 1910, 28518, 5792, 2069, 4105, 343, 15350, 22571, 34943, 387, 254, 1708, 274, 254, 6003, 286, 9001, 14, 593, 368, 476, 16290, 729, 747, 248, 3112, 47629, 28518, 40472, 327, 434, 2732, 282, 36011, 561, 432, 520, 15659, 16, 1993, 41449, 1464, 15, 3176, 28518, 2069, 4105, 2408, 763, 9001, 327, 403, 374, 4525, 1034, 343, 5866, 265, 15310, 286, 813, 9482, 799, 494, 4525, 14, 763, 6003, 327, 403, 338, 26, 9482, 1034, 343, 607, 16, 23, 9482, 799, 494, 3448, 286, 248, 848, 9482, 1034, 19004, 343, 248, 799, 494, 20435, 16, 10147, 2450, 4024, 2069, 628, 14498, 327, 403, 1143, 343, 1837, 27829, 7802, 327, 587, 417, 2654, 286, 476, 321, 295, 3094, 802, 841, 802, 16, 401, 910, 2886, 15516, 39832, 10375, 997, 867, 274, 14498, 327, 403, 5503, 324, 665, 3385, 46301, 37386, 2342, 14, 6911, 3815, 472, 26000, 9960, 390, 5690, 1089, 3, 1547, 1441, 1247, 18534, 5028, 282, 665, 6911, 3815, 472, 6029, 14, 348, 596, 818, 248, 1612, 624, 15432, 282, 254, 10209, 15, 264, 15, 36984, 398, 2286, 3, 188, 17639, 5196, 28, 374, 3071, 1034, 9001, 343, 5866, 265, 15310, 286, 813, 9482, 799, 494, 4525, 14, 338, 26, 9482, 1034, 6003, 343, 607, 16, 23, 9482, 799, 494, 3448, 286, 248, 848, 9482, 1034, 19004, 343, 248, 799, 494, 20435, 16, 0, 3600, 8656, 1393, 21124, 314, 3600, 35, 581, 747, 642, 9875, 6404, 14, 555, 643, 2258, 343, 2477, 9116, 324, 286, 7684, 432, 39398, 6147, 26042, 2642, 314, 37, 8305, 581, 254, 944, 1794, 23312, 16115, 4144, 282, 2393, 276, 1125, 2435, 3994, 407, 30597, 11328, 16, 1268, 4317, 25310, 254, 7767, 274, 2477, 10414, 14, 254, 6125, 3108, 436, 5697, 403, 417, 963, 7002, 14, 2225, 354, 16, 45490, 20086, 8092, 14, 10129, 14, 354, 6486, 14, 11685, 6765, 274, 30597, 1466, 387, 254, 19229, 29366, 276, 9861, 16, 769, 6128, 1851, 543, 3600, 35, 63, 3038, 12173, 368, 387 ]

[ 1, 14, 532, 310, 1141, 327, 665, 3960, 33443, 276, 248, 3960, 10787, 17025, 5480, 942, 282, 2941, 16494, 274, 1815, 327, 5103, 282, 6975, 2237, 274, 24376, 16, 26355, 311, 4780, 3657, 963, 12601, 282, 327, 974, 353, 311, 668, 4536, 668, 7995, 274, 1247, 10183, 16, 2003, 434, 248, 3657, 1157, 2115, 324, 4864, 668, 8446, 276, 248, 556, 5691, 41960, 14, 8642, 14, 9915, 7928, 14, 533, 7526, 16, 731, 2427, 625, 751, 254, 2560, 1026, 282, 665, 3541, 14, 532, 353, 7526, 16, 188, 1435, 6307, 434, 3002, 14, 42577, 14, 4025, 688, 4576, 2893, 274, 3452, 11409, 276, 616, 1193, 977, 314, 395, 5261, 758, 1081, 12316, 71, 773, 286, 473, 1546, 74, 1486, 14, 603, 368, 1521, 2739, 10113, 819, 1789, 11, 286, 310, 21107, 618, 3378, 274, 616, 684, 510, 25014, 38237, 276, 309, 1761, 1671, 28, 20692, 414, 286, 4771, 268, 34699, 5813, 731, 434, 3364, 282, 12675, 254, 2371, 25076, 2605, 586, 428, 1081, 1258, 89, 958, 11067, 276, 254, 5427, 276, 254, 3447, 576, 18, 434, 428, 532, 436, 1926, 311, 1062, 1837, 282, 8777, 387, 16, 188, 15115, 328, 1258, 6307, 434, 1610, 14, 580, 807, 321, 32179, 282, 2780, 327, 626, 933, 321, 624, 32054, 276, 8446, 16, 12182, 14, 626, 311, 248, 4678, 15, 11351, 28, 2323, 3864, 81, 367, 3410, 14, 2304, 248, 27310, 474, 28816, 274, 5692, 663, 311, 1012, 3792, 274, 254, 9629, 8677, 14, 9733, 254, 19178, 1393, 977, 15, 7503, 37896, 286, 8282, 248, 1157, 3224, 274, 254, 743, 17895, 16, 23438, 1157, 11409, 14, 353, 3032, 14, 1042, 417, 1041, 580, 6839, 282, 11412, 15, 68, 3708, 286, 2802, 15, 45636, 16, 0, 22, 394, 42630, 323, 39295, 311, 248, 4022, 621, 27126, 18442, 2756, 5407, 276, 28276, 16, 576, 394, 42630, 323, 39295, 3290, 1656, 2042, 18442, 2756, 276, 621, 27126, 14, 1683, 2426, 3102, 324, 4273, 276, 254, 7928, 286, 33317, 16582, 16, 188, 1675, 5082, 309, 1029, 59, 55, 2856, 27883, 9385, 59, 6220, 14, 418, 10705, 4095, 276, 374, 18, 18, 19, 14, 311, 272, 4903, 8620, 15523, 276, 11625, 2868, 274, 13107, 5588, 8033, 14, 4384, 20771, 14, 2076, 33019, 8033, 16, 188, 662, 348, 2426, 3102, 6577, 276, 4002, 14, 4023, 14134, 276, 26108, 7854, 14, 498, 5610, 14, 2931, 5203, 14, 31120, 294, 3838, 16, 188, 5897, 4248, 311, 8838, 368, 5166, 2501, 286, 4126, 9150, 327, 30695, 11812, 7417, 274, 633, 13331, 328, 633, 2628, 1362, 16, 188, 8430, 3184, 286, 5118, 24964, 258, 26108, 14, 46965, 35760, 26108, 14, 951, 2527, 24964, 26108, 14, 1523, 1890, 26108, 14, 20285, 3170, 16, 188, 1212, 403, 580, 274, 254, 5793, 900, 13846, 286, 12333, 28575, 276, 4002, 16, 3699, 7212, 286, 9676, 4602, 9012, 15857, 286, 22409, 1004, 5224, 274, 13846, 533, 403, 835, 14584, 324, 13107, 16, 0, 47, 5242, 67, 18935, 11812, 33888, 3706, 1125, 11812, 33888, 2150, 16, 1547, 3831, 1125, 11812, 3134, 1648, 11812, 14797, 16, 1547, 452, 785, 276, 11812, 1631, 324, 1125, 1090, 16, 3688, 14, 596, 403, 7212, 2151, 276, 11812, 3027, 2497, 16, 6499, 11812, 17083, 4349, 11812, 14797, 328, 25746, 18935, 1544, 353, 311, 10849, 286, 16832, 16, 188, 47, 5242, 67, 18935, 11812, 33888, 452, 1125, 11057, 16, 1547, 476, 2706, 665, 11812, 33888, 1707, 328, 254, 4422, 457, 85, 2662, 16, 3683, 17083, 2156, 1602, 729, 282, 1041, 254, 11812, 14797, 16, 3683, 17083, 2780, 327, 25746, 18935, 476, 2706, 11812, 14797, 1707, 328, 615, 16879, 16, 3688, 14, 596, 1038, 457, 86, 5382, 282, 889, 25746, 18935, 457, 85, 2497, 282, 1041, 248, 11812, 14797, 16, 188, 686, 1596, 282, 11812, 14797, 14, 25746, 18935, 11812, 33888, 669, 3831, 688, 3134, 2258, 282, 11812, 14797, 16, 1547, 476, 1041, 248, 14797, 282, 3678, 286, 11812, 5340, 42182, 324, 633, 11812, 3027, 16, 380, 11812, 4422, 476, 7087, 748, 2169, 274, 26578, 2741, 324, 615, 11812, 3027, 16, 0, 43344, 5596, 8028, 428, 3063, 378, 21521, 19789, 43331, 33, 188, 510, 3063, 378, 21521, 19789, 43331, 33, 314, 8674, 6403, 11, 27774, 5596, 8028, 311, 4024, 324, 2086, 276, 9392, 763, 314, 25, 15, 26, 802, 1668, 85, 11, 282, 321, 8326, 407, 11811, 1225, 398, 276, 254, 20253, 14, 819, 348, 1470, 15, 34912, 3371, 17190, 276, 11405, 41953, 447, 14, 3015, 10920, 1322, 14, 31964, 38985, 14, 1321, 1738, 286, 2079, 16215, 14, 5940, 4507, 14, 286, 2489, 16, 188, 510, 27774, 5596, 8028, 3809, 607, 18, 1091, 719, 18, 2819, 16, 188, 2148, 9299, 2449, 276, 12540, 14, 4356, 3316, 248, 9299, 9830, 825, 286, 4436, 282, 441, 593, 327, 360, 774, 5982, 368, 324, 14874, 286, 889, 254, 1460, 282, 7275, 254, 2024, 16, 188, 510, 2024, 369, 7654, 4089, 276, 34548, 27362, 33601, 14, 28007, 314, 31068, 11, 276, 338, 27, 27, 26, 15, 27, 27, 286, 369, 5384, 276, 9299, 2086, 668, 1116, 89, 3708, 286, 18282, 4901, 16, 27775, 360, 1102, 327, 4584, 324, 9392, 763, 2086, 7174, 276, 1500, 13423, 274, 2165, 7955, 407, 615, 4507, 16, 188, 4884, 669, 28, 41006, 568, 324, 10259, 89, 3708, 276, 8126, 6495, 28513, 6825, 407, 28007, 4626, 286, 5919, 1232, 286, 28007, 12405, 457, 85, 9241, 14, 4028, 374, 18, 18, 27, 16, 0, 531, 21712, 16, 8040, 311, 13616, 21712, 10, 26, 11, 6484, 1819, 16, 188, 1234, 900, 14, 5569, 7414, 1045, 16, 188, 27981, 14, 1015, 14120, 14, 1015, 2336, 19151, 45046, 387, 254, 1057, 671, 16, 188, 262, 254, 2725, 328, 24380, 13616, 21712, 587, 2336, 19744, 16, 7939, 17756, 27067, 756, 580, 2725, 16, 188, 31368, 3198, 254, 1819, 481, 17673, 311, 1922, 16, 188, 608, 36600, 314, 2798, 44349, 13754, 9047, 481, 188, 1516, 10238, 248, 743, 2336, 5690, 14, 830, 368, 476, 4702, 743, 1922, 4752, 16, 188, 531, 21712, 19544, 756, 7414, 14120, 16, 188, 90, 16, 90, 16, 90, 16, 90, 2590, 1146, 272, 7939, 16, 210, 1246, 16, 90, 16, 90, 16, 90, 17, 90, 16, 90, 16, 90, 16, 90, 1146, 272, 7939, 3444, 407, 248, 745, 2929, 8754, 16, 188, 9554, 7939, 1225, 276, 254, 12780, 16, 188, 6713 ]

[ 1, 403, 624, 21252, 390, 11686, 368, 16, 24836, 30217, 1518, 46339, 4273, 390, 1330, 2072, 9630, 1041, 254, 10275, 274, 4536, 327, 8899, 311, 756, 324, 1887, 4273, 343, 5534, 34557, 324, 436, 3964, 16, 411, 9977, 1311, 311, 670, 360, 2780, 327, 772, 2485, 3809, 1521, 274, 353, 3, 7757, 14, 1887, 10275, 14, 276, 948, 14, 254, 5493, 5740, 407, 772, 1518, 46339, 4273, 476, 321, 772, 8830, 8819, 314, 608, 1143, 324, 1495, 3964, 282, 321, 5309, 276, 1495, 3802, 2612, 7823, 1887, 10275, 311, 282, 1141, 327, 6053, 286, 8899, 43695, 390, 4566, 403, 4196, 1015, 286, 4707, 432, 580, 1495, 16, 826, 4536, 311, 1062, 8093, 1081, 324, 633, 2072, 282, 633, 20201, 16, 6123, 314, 4553, 7993, 286, 6053, 11, 1339, 563, 1116, 276, 1116, 286, 603, 900, 8876, 368, 587, 27601, 2490, 254, 12167, 274, 1081, 14, 533, 587, 2917, 2490, 633, 2896, 286, 633, 5851, 16, 1860, 321, 2041, 282, 14190, 436, 624, 3468, 343, 633, 2072, 14, 1309, 327, 254, 785, 274, 8899, 311, 282, 6255, 11835, 21413, 14, 327, 311, 14, 10341, 6462, 327, 403, 2102, 7317, 276, 6981, 390, 276, 633, 1830, 390, 633, 2072, 4954, 16, 1395, 785, 587, 2722, 254, 7096, 343, 254, 1640, 21413, 368, 452, 3854, 633, 8899, 5861, 16, 18205, 327, 368, 476, 417, 5416, 8895, 282, 248, 37694, 14, 1002, 603, 353, 311, 276, 254, 1640, 3184, 14, 1640, 11792, 16, 1180, 248, 1755, 4541, 274, 836, 12007, 310, 5419, 4221, 5243, 4590, 282, 2490, 633, 2896, 286, 633, 6053, 311, 282, 1354, 633, 8899, 282, 254, 1110, 830, 368, 641, 3248, 452, 282, 1041, 254, 7096, 14, 16056, 11380, 16, 3006, 35852, 327, 3258, 7485, 1115, 248, 1062, 1726, 286, 933, 1582, 6907, 13102, 729, 16, 380, 1726, 2115, 311, 282, 865, 670, 830, 286, 843, 282, 889, 3258, 7485, 16, 188, 2943, 368, 403, 2731, 324, 248, 743, 1026, 274, 2430, 1789, 327, 476, 1862, 624, 671, 286, 4682, 6995, 14, 580, 2115, 327, 1845, 3144, 282, 2482, 311, 28, 1691, 311, 1480, 1157, 282, 321, 1972, 286, 748, 311, 353, 33, 2514, 274, 254, 5793, 3133, 343, 13612, 47, 4273, 311, 417, 254, 2072, 14, 532, 843, 942, 1574, 282, 1225, 282, 2489, 16, 826, 311, 272, 2382, 274, 1594, 327, 311, 1480, 1157, 282, 321, 1972, 16, 13612, 47, 311, 248, 2072, 286, 360, 1339, 785, 348, 580, 16, 1286, 368, 497, 282, 1493, 248, 5871, 2072, 368, 872, 282, 321, 5320, 324, 33, 338, 16, 13294, 748, 368, 403, 1438, 282, 513, 14, 374, 16, 13294, 748, 368, 872, 282, 513, 282, 1354, 327, 2072, 14, 495, 16, 11903, 254, 671, 282, 1602, 254, 2485, 314, 20, 22, 1209, 813, 581, 576, 16, 188, 3602, 452, 254, 2501, 282, 3084, 436, 2348, 314, 29779, 248, 9852, 581, 607, 16, 1547, 2035, 282, 1263, 436, 2348, 14, 719, 16, 1547, 452, 254, 24477, 282, 3191, 276, 2072, 1863, 596, 915, 254, 1508, 14, 813, 16, 11903, 21759, 282, 2874, 343, 512, 254, 942, 663, 587, 452, 282, 2377, 848, 16, 1547, 452, 254, 587, 282, 11094, 12396, 29, 890, 16, 5931, 5535, 282, 6255, 6211, 282, 520, 2072, 14, 338, 18, 16, 1395, 452, 248, 1830, 390, 2497, 327, 587, 1920, 6211, 3435, 14, 338, 19, 16, 188, 4534, 5320, 324, 254, 2417, 14, 974, 254, 2863, 314, 339, 353, 5699, 11, 403, 1733, 14, 338, 20, 16, 1223, 624, 7925, 3826, 688, 942, 961, 282, 513, 1594, 14, 532, 272, 13612, 47, 2072, 286, 254, 942, 663, 9057, 276, 436, 2072, 974, 353, 852, 997, 747, 248, 2072, 16, 1838, 282, 9057, 276, 13612, 47, 587, 452, 282, 321, 5320, 324, 254, 1057, 1789, 327, 248, 5871, 2072, 14, 532, 626, 403, 763, 2135, 3784, 28, 248, 16, 380, 2332, 274, 1004, 580, 274, 1093, 1789, 28, 731, 3809, 1181, 1637, 671, 314, 19, 20, 15, 19, 23, 3498, 1091, 1242, 581, 2501, 314, 2295, 9852, 581, 7028, 14, 641, 2417, 14, 3838, 271, 16, 380, 1508, 274, 254, 2485, 28, 13612, 47, 3017, 587, 3906, 14, 286, 6995, 274, 671, 14, 5851, 16, 2028, 368, 997, 387, 13612, 47, 368, 587, 915, 248, 1181, 3564, 4688, 282, 4962, 615, 7148, 276, 1464, 835, 254, 5871, 2703, 14, 532, 327, 1042, 417, 1563, 368, 452, 641, 785, 390, 3324, 16, 380, 1887, 2967, 311, 4269, 254, 3184, 274, 254, 1508, 368, 751, 432, 353, 16, 0, 510, 801, 2511, 37714, 254, 27023, 274, 17403, 14, 5562, 254, 1250, 2511, 12968, 343, 254, 17403, 24016, 398, 16, 496, 436, 1240, 14, 254, 24433, 356, 19776, 1476, 403, 900, 276, 16032, 17403, 27023, 286, 24016, 398, 286, 1037, 15696, 19104, 510, 32039, 15, 7671, 6852, 274, 496, 43131, 36796, 16282, 254, 5060, 42860, 327, 3849, 282, 254, 529, 16, 48, 16, 5894, 282, 10600, 28279, 276, 338, 27, 22, 25, 286, 254, 11823, 274, 4990, 276, 338, 27, 22, 26, 16, 188, 510, 15351, 20328, 311, 580, 274, 254, 1603, 17963, 17957, 276, 17403, 434, 8707, 3124, 8571, 85, 14, 2049, 343, 254, 388, 28698, 1219, 27023, 14, 286, 248, 1330, 25565, 24829, 286, 34581, 6302, 15, 3410, 1470, 1758, 4301, 2006, 6109, 1788, 3112, 328, 254, 10767, 1874, 274, 254, 14328, 3292, 16, 188, 40693, 16375, 20830, 85, 8707, 3124, 7885, 14, 4131, 276, 254, 2318, 338, 24, 394, 5174, 407, 254, 17890, 41717, 323, 1617, 25028, 254, 17952, 690, 291, 14, 452, 4175, 17957, 16, 1822, 532, 580, 314, 779, 20328, 274, 7410, 941, 11, 1311, 5587, 17403, 3149, 286, 12587, 17837, 282, 695, 9902, 14, 286, 19491, 286, 14069, 4235, 16, 0, 16749, 3689, 39488, 314, 16749, 2495, 11, 2147, 36128, 13089, 314, 6276, 4452, 374, 24, 14, 338, 27, 19, 19, 14, 30538, 1049, 320, 14, 16330, 428, 4811, 4028, 576, 14, 338, 27, 27, 20, 14, 1427, 2728, 14, 4953, 11, 369, 248, 4144, 2371, 28929, 8258, 11400, 16, 188, 29838, 27906, 30460, 416, 13137, 92, 989, 9081, 14, 345, 6139, 282, 1115, 387, 2289, 1694, 14, 286, 369, 3402, 40777, 248, 1401, 46907, 91, 16, 1997, 2289, 4175, 345, 369, 17506, 13738, 3648, 343, 11668, 286, 4782 ]

[ 1, 5064, 1003, 306, 1404, 304, 16, 22450, 16, 784, 65, 76, 302, 65, 302, 10, 3014, 26377, 1003, 306, 1404, 304, 16, 22450, 16, 14837, 65, 339, 65, 1410, 65, 18830, 10, 3014, 7284, 3758, 14, 4382, 14, 2498, 14046, 31, 4705, 65, 9867, 11, 926, 1419, 1827, 16, 79, 313, 65, 1377, 1886, 273, 65, 3321, 1884, 65, 6688, 61, 9097, 16, 76, 302, 63, 1465, 804, 791, 39679, 65, 1980, 65, 8335, 65, 21, 19, 21, 65, 34089, 10, 1262, 14, 10644, 2192, 647, 603, 10644, 16, 21974, 16, 1554, 3493, 1827, 16, 1554, 28, 926, 1076, 2621, 1413, 65, 426, 10644, 16, 18017, 3891, 16, 784, 12203, 2012, 9491, 1358, 12598, 31, 5504, 90, 79, 377, 16, 4732, 65, 47, 2229, 11, 647, 603, 1413, 21057, 926, 7123, 302, 65, 426, 1413, 4274, 784, 26605, 2012, 7075, 302, 3291, 926, 603, 7123, 302, 65, 417, 276, 1827, 16, 1377, 1886, 273, 65, 507, 47652, 28, 1003, 1076, 647, 1952, 28, 926, 1076, 2621, 603, 1827, 16, 1377, 1886, 273, 65, 507, 47652, 61, 7075, 302, 65, 6895, 18, 63, 2224, 354, 2229, 65, 43960, 65, 9232, 3147, 1661, 28, 926, 867, 65, 426, 1413, 4274, 784, 12203, 2012, 1160, 1358, 12598, 31, 5504, 90, 79, 377, 16, 4732, 65, 6281, 47, 11, 926, 603, 867, 21057, 1003, 1364, 426, 867, 4274, 784, 12203, 3129, 2012, 6103, 3291, 1003, 603, 1364, 28, 2498, 306, 1404, 304, 16, 5238, 16, 1160, 65, 468, 2012, 15354, 85, 1358, 1827, 16, 1554, 14, 684, 6103, 65, 79, 313, 65, 302, 1358, 1364, 11, 2498, 3316, 426, 1413, 4274, 784, 26605, 2012, 11662, 3291, 2498, 603, 3316, 3493, 684, 5508, 5141, 3986, 1827, 16, 9376, 65, 21786, 10, 6266, 31, 6103, 11, 5896, 1419, 1827, 16, 1377, 1886, 273, 65, 507, 47652, 61, 7075, 302, 65, 63, 1465, 804, 791, 39679, 65, 79, 313, 65, 8406, 20195, 65, 8335, 65, 34089, 10, 1262, 14, 10644, 2192, 647, 603, 10644, 16, 21974, 16, 1554, 3493, 1827, 16, 1554, 28, 926, 1076, 647, 306, 1404, 304, 16, 22450, 16, 14837, 65, 339, 65, 1410, 65, 18830, 10, 9097, 16, 3014, 7284, 10644, 16, 20649, 14, 10644, 16, 11957, 14, 926, 14046, 31, 9097, 16, 4705, 9867, 14, 14853, 31, 9097, 16, 22513, 11, 1465, 804, 2662, 65, 21786, 10, 1262, 14, 1242, 31, 11033, 14, 980, 31, 11033, 14, 343, 65, 31, 11033, 14, 841, 31, 11033, 14, 477, 2694, 31, 21, 18, 2192, 647, 883, 83, 65, 426, 296, 21464, 79, 377, 16, 43, 83, 2012, 1160, 3291, 647, 7123, 426, 883, 83, 4274, 1855, 10101, 2012, 7075, 1358, 12598, 31, 5504, 90, 79, 377, 16, 4732, 65, 47, 2229, 11, 647, 1246, 426, 7123, 16, 1855, 10101, 10, 6048, 31, 5504, 90, 79, 377, 16, 3129, 5078, 10, 6436, 5313, 20753, 18723, 647, 1246, 16, 1855, 10101, 10, 6048, 31, 5504, 90, 79, 377, 16, 3129, 6009, 10, 6436, 5313, 18508, 1358, 1390, 5313, 23579, 65, 10284, 1358, 1294, 31, 5504, 90, 79, 377, 16, 4732, 65, 47, 2229, 1210, 647, 603, 1242, 28, 926, 1246, 16, 1855, 10101, 10, 6048, 31, 5504, 90, 79, 377, 16, 3129, 6009, 10, 6436, 5313, 1139, 15, 19609, 1358, 1390, 5313, 5318, 1358, 1294, 31, 5318, 1210, 647, 603, 980, 28, 926, 1246, 16, 1855, 10101, 10, 6048, 31, 5504, 90, 79, 377, 16, 3129, 6009, 10, 6436, 5313, 1139, 15, 19609, 1358, 1390, 5313, 423, 1358, 1294, 31, 423, 1210, 647, 603, 343, 21057, 926, 1246, 16, 1855, 10101, 10, 6048, 31, 5504, 90, 79, 377, 16, 3129, 6009, 10, 6436, 5313, 76, 302, 15, 19609, 1358, 1390, 5313, 3014, 1358, 1294, 31, 3014, 65, 1210, 647, 867, 65, 426, 7123, 16, 1160, 12203, 2012, 1160, 1358, 12598, 31, 5504, 90, 79, 377, 16, 4732, 65, 6281, 47, 11, 647, 867, 4274, 1160, 12203, 3129, 2012, 3958, 1358, 2694, 11, 647, 603, 841, 28, 926, 867, 4274, 1160, 12203, 3129, 2012, 6266, 1358, 841, 11, 647, 7123, 302, 65, 426, 1827, 16, 14082, 16, 784, 1128, 1787, 1067, 647, 7123, 16, 1160, 26605, 2012, 7075, 302, 1358, 7123, 302, 26377, 647, 2570, 65, 426, 1827, 16, 14082, 16, 784, 1128, 1787, 1067, 647, 883, 83, 4274, 1160, 1787, 10, 302, 26377, 647, 1827, 16, 1377, 1886, 273, 65, 507, 47652, 61, 7075, 302, 65, 63, 426, 314, 47, 2229, 65, 43960, 65, 9232, 3147, 1661, 14, 2312, 647, 1827, 16, 14082, 16, 12802, 10, 28332, 26377, 534, 188, 2360, 28009, 44724, 19, 21, 24, 10, 13090, 44724, 2192, 477, 804, 4623, 4338, 21257, 1262, 2192, 647, 28009, 44724, 24051, 4338, 21257, 1262, 11, 647, 1827, 16, 1099, 2113, 65, 19, 21, 24, 65, 18831, 426, 16247, 647, 1827, 16, 21786, 65, 14728, 65, 18831, 426, 16247, 647, 1827, 16, 21786, 65, 46276, 65, 18831, 426, 16247, 647, 1827, 16, 21786, 65, 38305, 65, 18831, 426, 16247, 647, 1827, 16, 21786, 65, 11188, 65, 18831, 426, 16247, 647, 1827, 16, 14728, 426, 8037, 647, 1827, 16, 9102, 65, 14728, 426, 8037, 647, 1827, 16, 9102, 65, 6608, 426, 8037, 647, 1827, 16, 9102, 65, 38305, 426, 8037, 647, 1827, 16, 6799, 426, 8037, 647, 1827, 16, 15135, 426, 11836, 647, 306, 1404, 304, 16, 2325, 16, 15464, 65, 7833, 65, 19644, 10, 926, 684, 1099, 2113, 15, 3343, 2968, 15, 11628, 15, 34089, 1358, 306, 265, 16, 45443, 14, 926, 1827, 3226, 39679, 65, 1099, 2113, 65, 11628, 65, 34089, 11, 647, 306, 1404, 304, 16, 2325, 16, 15464, 65, 7833, 65, 19644, 2012, 1980, 15, 28332, 15, 34089, 1358, 306, 265, 16, 45443, 14, 926, 1827, 3226, 39679, 65, 1980, 65, 28332, 65, 19, 21, 24, 65, 34089, 11, 1465, 804, 33423, 10, 1262, 2192, 647, 306, 1404, 304, 16, 2325, 16, 11833, 65, 7833, 65, 19644, 10, 926, 684, 1099, 2113, 15, 3343, 2968, 15, 11628, 15, 34089, 1358, 306, 265, 16, 45443, 14, 926, 1827, 3226, 39679, 65, 1099, 2113, 65, 11628, 65, 34089, 11, 647, 306, 1404, 304, 16, 2325, 16, 11833, 65, 7833, 65, 19644, 2012, 1980, 15, 28332, 15, 34089, 1358, 306, 265, 16, 45443, 14, 926, 1827, 3226, 39679, 65, 1980 ]

[ 1, 8762, 11, 647, 1827, 16, 1857, 9802, 3722, 717, 511, 7990, 291, 16, 1160, 19300, 10, 3441, 19, 26, 11, 647, 1827, 16, 1857, 9802, 3722, 717, 511, 7990, 291, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 9802, 3722, 717, 511, 7990, 291, 14307, 647, 1827, 16, 1857, 9802, 34715, 24086, 2678, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 9802, 34715, 24086, 2678, 16, 1160, 8828, 494, 10, 4937, 11, 647, 10374, 19, 27, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 19, 27, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 14295, 265, 15, 3434, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 9802, 34715, 24086, 2678, 16, 1160, 19300, 10, 3441, 19, 27, 11, 647, 1827, 16, 1857, 9802, 34715, 24086, 2678, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 9802, 34715, 24086, 2678, 14307, 647, 1827, 16, 1857, 9802, 12401, 7259, 2678, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 9802, 12401, 7259, 2678, 16, 1160, 8828, 494, 10, 4937, 11, 647, 10374, 20, 18, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 20, 18, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 46167, 15, 3434, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 9802, 12401, 7259, 2678, 16, 1160, 19300, 10, 3441, 20, 18, 11, 647, 1827, 16, 1857, 9802, 12401, 7259, 2678, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 9802, 12401, 7259, 2678, 14307, 647, 1827, 16, 1857, 25800, 6411, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 10374, 20, 19, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 20, 19, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 5530, 15, 90, 15, 26329, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 25800, 6411, 16, 1160, 19300, 10, 3441, 20, 19, 11, 647, 1827, 16, 1857, 25800, 6411, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 25800, 6411, 14307, 647, 1827, 16, 1857, 9147, 10241, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 10374, 20, 20, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 20, 20, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 1139, 15, 2880, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 9147, 10241, 16, 1160, 19300, 10, 3441, 20, 20, 11, 647, 1827, 16, 1857, 9147, 10241, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 9147, 10241, 14307, 647, 1827, 16, 1857, 44908, 5513, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 10374, 20, 21, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 20, 21, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 3434, 15, 11833, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 44908, 5513, 16, 1160, 19300, 10, 3441, 20, 21, 11, 647, 1827, 16, 1857, 44908, 5513, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 44908, 5513, 14307, 647, 1827, 16, 1857, 44908, 686, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 10374, 20, 22, 426, 25023, 43296, 16, 51, 19300, 1067, 647, 10374, 20, 22, 16, 1855, 41054, 4113, 10, 29960, 43296, 16, 29488, 887, 4113, 9840, 3933, 55, 15671, 26, 10, 1356, 17, 13117, 17, 3434, 15, 1855, 16, 8343, 2719, 581, 25023, 43296, 16, 51, 19300, 16, 19578, 14, 25023, 43296, 16, 51, 19300, 16, 8762, 11, 647, 1827, 16, 1857, 44908, 686, 16, 1160, 19300, 10, 3441, 20, 22, 11, 647, 1827, 16, 1857, 44908, 686, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 44908, 686, 14307, 647, 1827, 16, 1857, 32852, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 32852, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 32852, 14307, 647, 1827, 16, 1857, 11139, 4085, 9827, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 4085, 9827, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 11139, 4085, 9827, 14307, 647, 1827, 16, 1857, 11139, 1304, 6570, 19, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 1304, 6570, 19, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 11139, 1304, 6570, 19, 14307, 647, 1827, 16, 1857, 11139, 1304, 6570, 20, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 1304, 6570, 20, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 11139, 1304, 6570, 20, 14307, 647, 1827, 16, 1857, 11139, 1304, 6570, 21, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 1304, 6570, 21, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 11139, 1304, 6570, 21, 14307, 647, 1827, 16, 1857, 11139, 1304, 6570, 22, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 1304, 6570, 22, 16, 1160, 4103, 2327, 9840, 3933, 55, 15671, 26, 1551, 1857, 11139, 1304, 6570, 22, 14307, 647, 1827, 16, 1857, 11139, 1304, 6570, 23, 426, 25023, 43296, 16, 51, 8784, 10, 12674, 11873, 11, 647, 1827, 16, 1857, 11139, 1304, 6570, 23, 16, 1160, 4103, 2327, 9840, 3933 ]