cwestbrook/lotrdata · Datasets at Hugging Face

input_ids listlengths 2.05k 2.05k
[ 100000, 3545, 13, 100001, 2901, 7649, 304, 1592, 40610, 30, 487, 362, 35351, 13, 207, 2901, 2395, 254, 750, 15763, 778, 22319, 13, 487, 207, 2901, 2054, 487, 248, 441, 40610, 430, 521, 11, 9890, 11, 487, 993, 7421, 13, 207, 2901, 1385, 487, 82, 1590, 13, 809, 487, 82, 525, 13, 100001, 40, 487, 313, 1865, 13, 487, 207, 2901, 40, 481, 10983, 3634, 359, 11, 487, 993, 21675, 2860, 11, 41390, 272, 857, 13, 207, 2901, 2960, 438, 274, 410, 66, 366, 245, 34996, 11, 285, 937, 359, 9236, 881, 7421, 0, 2928, 304, 6740, 487, 83, 40610, 1166, 521, 754, 304, 4101, 344, 17003, 1224, 2877, 11, 285, 304, 3657, 276, 3510, 30, 14470, 359, 340, 30, 487, 207, 2901, 1385, 438, 6031, 11, 2195, 13, 21675, 2860, 13, 304, 487, 67, 2028, 581, 3655, 11, 3308, 13, 304, 7045, 487, 83, 1275, 340, 13, 487, 207, 2901, 6636, 11, 340, 463, 1132, 11, 7421, 11, 7415, 7421, 11, 487, 993, 21675, 2860, 11, 285, 362, 2762, 1062, 279, 7421, 487, 82, 8771, 7921, 11, 15625, 586, 3545, 11, 837, 245, 1867, 430, 1610, 754, 2653, 12, 69, 6984, 418, 11516, 2302, 457, 742, 7130, 5136, 410, 1297, 13, 100001, 22407, 4749, 344, 362, 1027, 2097, 837, 344, 279, 23235, 14036, 26, 548, 359, 438, 441, 5987, 13, 809, 438, 441, 2527, 327, 857, 276, 1275, 586, 5738, 11, 362, 661, 1592, 276, 1682, 285, 4617, 857, 13, 1063, 28734, 21675, 2860, 487, 82, 28069, 13, 207, 2901, 17095, 0, 38771, 581, 11, 2195, 13, 21675, 2860, 0, 487, 362, 993, 11, 3507, 276, 3066, 372, 30760, 372, 362, 661, 754, 362, 12419, 1062, 254, 31952, 430, 20578, 8386, 331, 245, 6237, 487, 82, 4421, 13, 100001, 53556, 2860, 34456, 285, 2659, 581, 13, 207, 2901, 9595, 418, 395, 30, 1724, 1216, 304, 752, 1285, 30, 487, 362, 3637, 13, 100001, 2901, 2960, 487, 82, 642, 766, 327, 29915, 6309, 395, 752, 11155, 1979, 11, 2195, 13, 21675, 2860, 11, 487, 993, 7421, 13, 207, 2901, 2395, 340, 487, 248, 279, 254, 1869, 280, 344, 18972, 340, 285, 525, 3505, 473, 2302, 1224, 457, 254, 27857, 1323, 254, 410, 5508, 2149, 340, 13, 1724, 1234, 4084, 344, 438, 304, 1113, 487, 83, 1006, 13, 4600, 853, 245, 1492, 11, 304, 6384, 13, 487, 207, 2901, 11723, 344, 30, 487, 993, 21675, 2860, 13, 207, 2901, 1385, 3354, 5752, 13, 1257, 1534, 2410, 525, 521, 786, 359, 11, 565, 395, 752, 245, 5518, 13, 22494, 5906, 525, 11, 3320, 487, 83, 359, 30, 1308, 304, 7276, 881, 16342, 285, 34637, 15763, 11, 285, 33734, 285, 1503, 344, 36883, 438, 9507, 13, 2489, 5508, 778, 521, 4078, 525, 13, 304, 1378, 657, 661, 953, 803, 39984, 742, 22319, 15200, 7369, 1224, 601, 21480, 13, 2682, 1917, 10318, 3662, 11, 548, 304, 438, 75349, 285, 25761, 13, 1955, 38492, 525, 280, 3694, 26, 285, 937, 984, 1228, 1580, 3276, 2373, 285, 31507, 525, 11, 31507, 525, 2645, 2901, 2054, 2115, 487, 83, 11, 565, 340, 3075, 786, 768, 11, 2195, 13, 21675, 2860, 11, 487, 993, 7421, 13, 207, 2901, 2280, 565, 395, 1113, 487, 83, 1121, 276, 1019, 768, 1310, 11, 254, 19026, 395, 752, 1872, 254, 2018, 13, 2755, 340, 3667, 30, 487, 207, 2901, 5661, 11, 304, 481, 3667, 11, 487, 993, 21675, 2860, 11, 3442, 581, 9405, 13, 207, 2901, 40, 608, 441, 12392, 11, 7421, 13, 9315, 304, 2213, 1079, 13400, 11, 285, 304, 487, 313, 245, 4452, 1285, 13, 487, 1063, 1957, 586, 1297, 276, 254, 1062, 280, 586, 10225, 2330, 586, 2116, 14307, 13, 1063, 6626, 581, 11, 285, 359, 4133, 276, 7421, 372, 565, 362, 438, 51914, 279, 24138, 25, 586, 22707, 6219, 438, 47136, 279, 254, 2156, 280, 254, 15817, 2330, 13, 82597, 362, 59373, 3246, 254, 6597, 13, 100001, 2901, 4026, 487, 82, 2018, 0, 487, 362, 993, 11, 586, 18253, 12698, 245, 1585, 13, 207, 2901, 40, 3320, 487, 83, 18628, 276, 2938, 754, 304, 438, 2116, 5254, 11, 410, 634, 280, 254, 29526, 2373, 13, 30024, 254, 64249, 285, 13286, 4732, 13, 429, 984, 2567, 1580, 3276, 25, 657, 89295, 271, 11, 304, 1378, 13, 8075, 525, 285, 601, 2012, 13, 304, 2762, 1285, 46084, 13, 1308, 937, 521, 2674, 27661, 7257, 11, 285, 344, 438, 9507, 13, 487, 207, 2901, 5661, 11, 657, 89295, 271, 11, 24926, 11, 487, 993, 7421, 13, 207, 2901, 2960, 1534, 463, 803, 245, 5457, 280, 5197, 280, 254, 19969, 21774, 279, 437, 1810, 13, 338, 2683, 280, 245, 8670, 1835, 327, 7421, 42724, 49675, 11, 372, 340, 1667, 1481, 13, 1474, 657, 487, 313, 2368, 521, 254, 18407, 280, 4449, 13, 2608, 487, 82, 16051, 11, 548, 359, 487, 82, 1653, 1234, 276, 1099, 245, 5654, 786, 11, 6309, 395, 487, 248, 636, 280, 1285, 13, 4201, 856, 487, 82, 276, 330, 2368, 30, 1257, 481, 487, 83, 614, 10147, 279, 254, 6350, 10245, 279, 66003, 548, 520, 6219, 11, 2195, 13, 21675, 2860, 13, 487, 207, 2901, 5490, 487, 313, 3443, 3694, 11, 7421, 11, 487, 993, 21675, 2860, 13, 207, 2901, 30856, 304, 661, 13, 100001, 4453, 340, 2579, 30, 18968, 0, 487, 1063, 13917, 1883, 331, 254, 6597, 1310, 366, 31788, 1917, 11, 372, 586, 1377, 3073, 4832, 1719, 276, 857, 254, 85268, 280, 254, 21666, 11, 285, 22553, 35321, 857, 13, 207, 2901, 549, 1796, 643, 5985, 11, 7421, 13, 6809, 565, 395, 752, 636, 280, 1285, 11, 395, 481, 487, 83, 10778, 13, 9315, 1473, 1606, 481, 10778, 13, 42159, 11, 2302, 636, 280, 14901, 12, 25914, 11, 2367, 2302, 855, 254, 15441, 13, 1273, 1236, 344, 317, 5505, 2527, 276, 2240, 254, 37134, 636, 13, 487, 207, 2901, 3233, 11, 441, 3694, 11, 2195, 13, 21675, 2860, 13, 1308, 359, 15349, 487, 83, 5985, 11, 441, 2618, 13, 304, 3061, 359, 11, 2195, 13, 21675, 2860, 11, 50740, 520, 25880, 13, 1308, 304, 487, 313, 5982, 359, 5730, 13, 809, 487, 82, 4078, 601, 10225, 1132, 11, 285, 245, 12906, 18953, 359, 317, 11, 1653, 13, 487, 7421, 267, 20855, 327, 254, 26500, 285, 895, 8369, 13, 207, 2901, 2395, 304, 8259, 340, 1534, 1529, 359, 1062, 13, 487, 4201, 359, 661, 1865, 276, 359, 11, 7421, 4749, 45656, 276, 2102, 581, 254, 26500, 285, 18953, 586, 5738, 366, 359, 1310, 13, 100001, 2901, 2054, 487, 313, 2149, 359, 30, 487, 50399, 21675, 2860, 13, 207, 2901, 2054, 487, 313, 2149, 359, 1285, 30, 7421, 11, 340, 487, 248, 245, 30774, 0, 487, 2928, 5397, 285, 38360, 586, 10805, 5464, 13, 207, 2901, 27559, 359, 276, 525, 0, 487, 362, 7899, 11, 8898, 581, 11, 9523, 636, 245, 31345, 1297, 13, 207, 2901, 27559, 359, 525, 430, 2561, 0, 1257, 481, 487, 83, 463, 359, 0, 487, 207, 2901, 3315, 1329, 11, 2195, 13, 21675, 2860, 11, 487, 993, 7421, 11, 3272, 37728, 13, 207, 2901, 4898, 359, 317, 0, 487, 80809, 362, 12419, 254, 26500, 636, 285, 5079, 254, 8369, 855, 586, 1917, 13, 207, 2901, 2395, 340, 487, 248, 279, 254, 3114, 280, 364, 694, 256, 1132, 11, 8005, 26, 285, 754, 340, 752, 636, 11, 340, 487, 647, 1019, 254, 417, 1369, 88, 17165, 285, 521, 13, 1257, 487, 647, 1275, 254, 26500, 1079, 11866, 1132, 11, 285, 1079, 2074, 276, 8982, 13, 1273, 359, 487, 82, 1653, 2074, 245, 3112, 11, 304, 1027, 4127, 359, 366, 26081, 13, 207, 2901, 3233, 340, 2115, 487, 83, 11, 340, 39925, 2081, 487, 1063, 265, 7880, 11, 30118, 430, 7421, 366, 3545, 5505, 366, 5663, 285, 92892, 13, 2928, 8963, 11, 497, 42162, 254, 26500, 279, 634, 82558, 41693, 11, 362, 6626, 245, 96595, 13, 338, 6389, 4759, 276, 3662, 473, 586, 3545, 11, 285, 362, 5079, 245, 1297, 855, 586, 75349, 28372, 13, 429, 49255, 10046, 661, 4759, 558, 1590, 276, 857, 11, 3222, 96700, 4516, 372, 362, 438, 1592, 366, 20401, 285, 5663, 13, 7421, 661, 5464, 1323, 586, 1079, 3545, 881, 274, 410, 66, 1310, 11, 518, 2032, 285, 60948, 272, 430, 586, 20017, 11, 245, 34637, 1585, 18588, 366, 43010, 3545, 285, 1906, 659, 701, 272, 8602, 13, 1474, 1132, 254, 10046, 661, 5079, 13, 100001, 2960, 438, 7421, 61401, 1323, 857, 11, 586, 3059, 92058, 366, 4452, 11, 372, 565, 362, 661, 803, 78266, 279, 254, 2997, 26, 12867, 1136, 271, 473, 586, 3545, 13, 100001, 2901, 46, 7421, 0, 487, 7899, 21675, 2860, 13, 207, 2901, 2640, 463, 304, 993, 30, 2461, 463, 304, 2368, 30, 1494, 20362, 525, 0, 4128, 521, 340, 463, 2368, 13, 809, 317, 254, 22319, 1823, 280, 254, 26500, 13, 304, 4796, 359, 661, 1866, 11, 1866, 11, 803, 1503, 13, 1474, 1113, 487, 83, 2764, 525, 11, 7421, 13, 304, 1534, 5652, 254, 18953, 276, 254, 1225, 13, 809, 481, 487, 83, 330, 25719, 13, 1257, 481, 487, 83, 1865, 1439, 525, 285, 437, 48237, 13, 487, 207, 2901, 4026, 487, 82, 521, 1329, 11, 2195, 13, 21675, 2860, 11, 487, 993, 7421, 11, 48988, 586, 33989, 3246, 586, 3545, 13, 207, 2901, 40, 2579, 13, 1474, 304, 481, 1592, 1345, 11, 481, 487, 83, 304, 30, 304, 487, 313, 2149, 276, 752, 340, 636, 280, 1285, 13, 2803, 2561, 11, 1019, 0, 1474, 1022, 340, 1121, 742, 11445, 285, 15854, 11, 285, 937, 742, 3427, 13, 429, 11445, 543, 330, 254, 21426, 697, 13, 1733, 395, 487, 248, 279, 364, 694, 256, 11, 395, 487, 67, 1608, 5877, 581, 364, 694, 256, 12, 25391, 26, 285, 12344, 745, 4269, 487, 83, 642, 4858, 13, 809, 487, 647, 463, 276, 330, 410, 66, 12, 43701, 327, 340, 11, 2195, 13, 21675, 2860, 11, 304, 487, 76, 10297, 13, 1308, 327, 525, 1653, 13, 1273, 395, 614, 2854, 11, 395, 487, 67, 1608, 4174, 13, 4201, 1957, 437, 4078, 340, 0, 487, 7421, 92359, 30071, 586, 14518, 38271, 285, 4733, 359, 786, 21675, 2860, 487, 82, 17459, 13, 100001, 4631, 5211, 2237, 272, 586, 2390, 362, 9835, 359, 331, 254, 6597, 13, 1063, 12419, 900, 272, 473, 895, 79257, 13, 11068, 326, 245, 76763, 438, 276, 330, 2826, 2065, 895, 26965, 13, 207, 2901, 40, 438, 39427, 437, 11, 2195, 13, 21675, 2860, 11, 487, 362, 993, 13, 207, 2901, 3233, 11, 657, 3320, 487, 83, 752, 3694, 0, 1257, 26407, 525, 900, 272, 11, 565, 340, 5175, 11, 285, 254, 10850, 487, 82, 6696, 13, 304, 487, 313, 2149, 768, 1572, 1592, 13, 1474, 32537, 768, 276, 525, 245, 1585, 4172, 11, 2195, 13, 21675, 2860, 13, 304, 1534, 614, 285, 1019, 856, 304, 481, 1275, 13, 1257, 4152, 1285, 13, 14325, 786, 245, 2683, 285, 11535, 520, 12882, 13, 304, 65168, 487, 83, 330, 1234, 13, 304, 65168, 487, 83, 463, 276, 614, 2367, 13, 487, 207, 2901, 15004, 2062, 11, 7421, 0, 487, 993, 21675, 2860, 13, 207, 2901, 2280, 330, 3399, 0, 2071, 975, 330, 410, 5508, 1592, 13260, 11, 69465, 279, 3825, 13, 487, 207, 2901, 40, 487, 313, 2149, 276, 5518, 359, 11, 487, 993, 7421, 13, 1063, 20210, 276, 254, 21389, 12, 8569, 285, 27885, 1224, 254, 29007, 13, 685, 245, 8298, 586, 1917, 298, 30471, 13, 1063, 15188, 245, 1234, 19340, 331, 254, 6597, 13, 100001, 2901, 2960, 487, 82, 1874, 344, 1667, 330, 5629, 11, 487, 362, 993, 13, 207, 2901, 2450, 487, 82, 5030, 25, 254, 634, 344, 49536, 340, 13, 5835, 400, 586, 10225, 11, 359, 3354, 11, 279, 586, 25683, 13, 4201, 340, 4305, 581, 254, 29007, 11, 565, 340, 481, 11, 2195, 13, 21675, 2860, 26, 285, 1113, 487, 83, 340, 1632, 359, 1224, 6309, 340, 4704, 525, 1282, 254, 1452, 12, 2687, 13, 1473, 65, 669, 393, 304, 487, 647, 1282, 13, 2461, 254, 1473, 1606, 1481, 13, 2366, 410, 66, 744, 1481, 344, 13, 487, 8949, 857, 11, 285, 276, 2240, 586, 2764, 16134, 11, 4732, 276, 3667, 276, 285, 9963, 11, 265, 15586, 285, 74005, 881, 1131, 8089, 280, 586, 9311, 13, 100001, 1385, 438, 441, 1079, 1234, 11, 2451, 5663, 1401, 359, 1751, 274, 5064, 430, 2754, 11, 1323, 362, 4101, 7421, 487, 82, 5136, 9609, 26380, 473, 2877, 25, 1473, 65, 669, 393, 11, 1473, 65, 669, 393, 13, 21675, 2860, 1632, 1224, 254, 2156, 29007, 13, 5530, 2373, 7421, 11, 32836, 272 ]
[ 100000, 56341, 25851, 280, 1234, 12, 15503, 64912, 13, 100001, 2124, 254, 1492, 18403, 331, 254, 2156, 7322, 245, 1585, 11, 285, 254, 95027, 18949, 11, 7476, 53774, 285, 691, 14867, 13, 13095, 2330, 254, 6299, 285, 48664, 2443, 280, 254, 1843, 254, 5071, 438, 17040, 1461, 285, 14544, 1132, 279, 245, 52336, 3085, 366, 22693, 280, 52884, 23513, 11, 548, 889, 245, 9989, 17991, 280, 711, 1027, 657, 1019, 2877, 11, 13739, 1674, 11, 14211, 11, 5749, 642, 9273, 285, 642, 28739, 13, 100001, 2395, 1236, 430, 437, 17203, 29780, 280, 711, 6943, 452, 3237, 377, 97920, 1215, 285, 1278, 59173, 13, 1063, 41639, 704, 8398, 11, 285, 657, 31611, 11, 64650, 1255, 837, 1585, 55601, 8466, 11, 279, 254, 26922, 280, 245, 1228, 10176, 52856, 12, 393, 13759, 13, 2071, 438, 245, 4399, 12114, 11, 889, 91746, 331, 895, 18065, 457, 254, 17203, 36887, 280, 7137, 12690, 12, 449, 9912, 11, 285, 7488, 11387, 12, 1645, 1697, 31345, 279, 1760, 3207, 12, 97167, 344, 657, 1027, 441, 2213, 13, 100001, 2901, 3647, 245, 7854, 0, 487, 993, 7421, 34068, 3200, 13, 100001, 2901, 3233, 11, 642, 12789, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 35458, 12789, 0, 487, 1063, 284, 11743, 586, 12466, 13, 207, 2901, 3233, 12789, 1285, 13, 2071, 418, 56013, 257, 11, 53328, 257, 11, 2012, 279, 254, 31369, 13, 39499, 280, 2012, 11, 8284, 280, 36978, 2012, 13, 2366, 12789, 11, 487, 362, 9765, 28825, 13, 7421, 4133, 430, 857, 366, 85828, 13, 100001, 3139, 5079, 254, 4443, 1492, 280, 704, 8398, 366, 452, 3237, 377, 13, 12337, 254, 25851, 280, 6787, 778, 1234, 279, 32740, 19369, 11, 657, 2674, 331, 1310, 11, 11281, 2062, 11, 285, 362, 438, 5024, 430, 245, 4257, 327, 245, 1477, 13, 1955, 661, 1865, 276, 254, 1079, 19480, 280, 254, 20241, 20982, 1218, 11, 285, 359, 438, 4426, 13, 100001, 5490, 10408, 9405, 11, 96665, 11, 8435, 3415, 279, 1353, 11, 1893, 83782, 1131, 2938, 344, 452, 3237, 377, 1401, 13, 429, 267, 660, 10318, 691, 12969, 11, 7783, 881, 5505, 93704, 525, 379, 11, 3264, 588, 359, 10318, 691, 285, 691, 3915, 276, 1275, 254, 45744, 1322, 6171, 1066, 5144, 1027, 32525, 1673, 38034, 881, 307, 3955, 2237, 17511, 13, 429, 38372, 778, 2156, 11, 410, 6642, 5249, 280, 768, 744, 2647, 463, 1503, 245, 1143, 1184, 13, 100001, 63064, 359, 10318, 16369, 4426, 25, 254, 3207, 3964, 4759, 3438, 285, 6751, 276, 29620, 13, 2473, 11493, 7676, 7421, 47501, 586, 3545, 25, 362, 2215, 586, 1917, 438, 1872, 32533, 13, 1063, 1022, 3505, 634, 366, 254, 8089, 280, 586, 2116, 6011, 11, 245, 259, 18568, 280, 14211, 838, 255, 344, 37583, 2302, 26, 548, 3072, 7676, 3444, 1166, 25, 742, 837, 66456, 25288, 14463, 11, 742, 837, 83067, 31577, 64628, 9405, 2330, 38098, 35791, 26, 1285, 285, 745, 657, 25852, 837, 86888, 20214, 15194, 332, 1215, 457, 8628, 4054, 13, 1474, 8533, 280, 586, 20935, 8921, 245, 1734, 13, 100001, 3567, 1562, 7421, 1027, 8982, 359, 642, 4172, 13, 207, 2901, 2640, 487, 82, 521, 437, 11, 452, 3237, 377, 30, 487, 362, 993, 279, 245, 28174, 13, 207, 2901, 6723, 11493, 30, 1955, 487, 248, 521, 4078, 450, 1132, 13, 6475, 395, 33137, 30, 8886, 418, 657, 30, 487, 452, 3237, 377, 4133, 581, 13, 338, 4426, 2354, 438, 1323, 857, 11, 285, 362, 438, 64370, 331, 254, 3419, 11, 437, 1143, 285, 344, 11, 37324, 280, 254, 1143, 13, 207, 2901, 5661, 11, 657, 418, 521, 4078, 450, 11, 487, 362, 22112, 13, 207, 2901, 549, 25736, 88, 11493, 13, 31196, 878, 280, 90796, 11, 5348, 11, 5348, 13, 4946, 487, 83, 340, 35871, 768, 0, 4946, 487, 83, 1068, 0, 4946, 487, 83, 1181, 768, 0, 8880, 487, 82, 254, 5738, 30, 487, 7421, 4133, 1062, 285, 1503, 344, 21675, 2860, 661, 284, 21931, 1310, 13, 1063, 1027, 441, 1019, 857, 13, 1063, 2674, 742, 57068, 1062, 881, 254, 16342, 11, 441, 35010, 276, 2938, 2367, 11, 410, 276, 1282, 279, 691, 853, 245, 70308, 28174, 13, 41554, 362, 38950, 2481, 21675, 2860, 11, 779, 438, 8898, 4739, 279, 2215, 11, 2709, 430, 254, 14211, 11493, 13, 3848, 4054, 11704, 19813, 430, 586, 9226, 26, 2354, 285, 99182, 778, 59655, 473, 768, 13, 100001, 2901, 17095, 11, 2195, 13, 21675, 2860, 0, 487, 993, 7421, 13, 207, 2901, 7390, 487, 83, 1068, 430, 768, 0, 452, 3237, 377, 2970, 395, 55969, 487, 83, 13, 3960, 487, 82, 2240, 581, 366, 857, 285, 752, 636, 280, 437, 52040, 1810, 372, 3399, 372, 395, 481, 207, 891, 565, 395, 481, 0, 487, 207, 2901, 3315, 1329, 11, 487, 993, 21675, 2860, 11, 372, 565, 14108, 636, 280, 245, 6267, 13, 207, 2901, 40, 487, 76, 4321, 13, 100001, 7350, 331, 0, 487, 22575, 15586, 4312, 1310, 11, 7421, 90465, 11, 28160, 586, 4414, 279, 742, 1712, 4343, 410, 244, 1885, 871, 13, 1063, 7276, 285, 2373, 16917, 331, 586, 4054, 11, 588, 31649, 4399, 881, 36112, 269, 56512, 11, 558, 344, 586, 3059, 438, 4832, 3415, 276, 254, 5438, 280, 254, 4426, 12596, 13, 2071, 438, 245, 17203, 586, 82, 11, 245, 41148, 498, 19327, 2674, 581, 11, 254, 11493, 267, 811, 69133, 285, 43442, 285, 1971, 348, 1215, 13, 1494, 245, 2780, 254, 2354, 2877, 857, 4133, 837, 742, 4071, 11, 64011, 366, 28034, 88, 6696, 11, 10416, 3262, 247, 3988, 388, 2032, 13, 54, 5005, 272, 71, 844, 3788, 407, 25068, 247, 38, 3237, 377, 14032, 13, 207, 2901, 549, 20241, 20982, 1218, 11, 5348, 11, 5348, 25, 344, 317, 704, 1210, 11, 487, 362, 258, 502, 1215, 13, 207, 2901, 2054, 1023, 441, 1068, 279, 754, 254, 35791, 418, 11769, 13, 487, 207, 2901, 11604, 418, 657, 30, 2461, 418, 657, 30, 487, 3637, 7421, 54350, 272, 11, 9860, 276, 21675, 2860, 11, 779, 438, 1132, 4435, 857, 13, 100001, 2901, 40, 1113, 487, 83, 1006, 11, 487, 993, 21675, 2860, 279, 245, 6267, 4018, 5136, 13, 207, 2901, 2395, 304, 463, 2826, 768, 1653, 13, 685, 254, 31369, 754, 254, 35791, 778, 11769, 13, 1955, 9279, 279, 521, 254, 31369, 11, 14211, 12472, 11, 4399, 4399, 1090, 254, 4426, 2354, 13, 304, 3505, 768, 25, 28034, 12472, 285, 11626, 11, 285, 12573, 12472, 285, 9436, 13, 8410, 12472, 9326, 285, 4770, 11, 285, 46031, 279, 704, 11041, 5539, 13, 1474, 521, 34637, 11, 521, 6299, 1255, 11, 521, 5030, 13, 338, 7276, 2156, 317, 279, 768, 13, 487, 21675, 2860, 17508, 586, 3545, 279, 586, 4054, 13, 207, 2901, 40, 1006, 441, 779, 657, 418, 26, 548, 304, 2215, 304, 3505, 745, 10889, 285, 1473, 1606, 11, 285, 2489, 5508, 13869, 768, 13, 487, 207, 2901, 5661, 11, 5348, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 3315, 5030, 11, 521, 58490, 13, 1473, 1606, 285, 10889, 285, 2489, 5508, 13, 429, 20241, 20982, 1218, 13, 2071, 438, 245, 1228, 8680, 1234, 4084, 11, 5348, 11, 558, 657, 3542, 857, 754, 324, 1513, 21313, 361, 314, 438, 2823, 11, 754, 304, 438, 2823, 1323, 254, 27650, 1123, 2373, 13, 809, 438, 245, 1228, 8680, 13, 33337, 10889, 366, 1234, 44914, 11, 285, 12906, 1473, 1606, 11, 285, 2489, 5508, 257, 47976, 272, 13, 1955, 19556, 331, 254, 8800, 327, 2507, 285, 4223, 430, 254, 6350, 42166, 13, 1474, 254, 20982, 1218, 463, 11799, 1962, 937, 11, 49600, 581, 254, 53421, 26, 1958, 55073, 11, 55073, 13, 487, 207, 2901, 2395, 344, 317, 274, 4500, 285, 691, 4084, 11, 487, 993, 7421, 13, 207, 2901, 549, 20241, 481, 487, 83, 330, 1921, 745, 0, 2128, 359, 742, 21067, 674, 92119, 279, 254, 17514, 10245, 30, 487, 207, 2901, 11604, 7466, 30, 324, 1513, 21313, 361, 314, 2845, 487, 83, 1006, 11, 487, 7589, 452, 3237, 377, 13, 207, 2901, 2054, 2977, 5934, 768, 11, 340, 2977, 5402, 768, 13, 1003, 3657, 2561, 11, 5348, 11, 17353, 13, 304, 3657, 2561, 26, 548, 340, 2977, 5934, 768, 13, 9315, 18294, 276, 1019, 11, 5216, 11, 441, 276, 5402, 13, 2366, 17353, 0, 2428, 5030, 13, 487, 7421, 4133, 4426, 326, 430, 857, 285, 80078, 1310, 11, 5764, 344, 362, 35375, 2643, 324, 1513, 21313, 361, 314, 661, 3657, 276, 5402, 768, 13, 207, 2901, 6636, 11, 304, 1113, 487, 83, 1121, 276, 1019, 768, 11, 487, 362, 993, 13, 207, 2901, 17769, 1310, 0, 2755, 487, 83, 395, 752, 331, 285, 752, 2302, 30, 487, 207, 2901, 5661, 11, 5348, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 2395, 9405, 11, 1079, 9405, 13, 15429, 10654, 0, 2489, 38501, 11834, 614, 1224, 276, 6417, 254, 20241, 4866, 285, 2156, 1585, 35791, 13, 100001, 25807, 324, 1513, 21313, 361, 314, 0, 4946, 487, 83, 1068, 430, 11493, 0, 487, 1063, 68759, 2302, 276, 254, 1329, 11, 12489, 327, 245, 3088, 4078, 254, 12596, 13, 100001, 5490, 2373, 3415, 4435, 11, 96665, 11, 2752, 1244, 704, 4054, 1236, 372, 362, 1216, 13, 207, 2901, 21477, 17353, 1585, 452, 3237, 6613, 279, 245, 5451, 395, 2786, 330, 11, 565, 437, 5014, 331, 1266, 4172, 11, 487, 2215, 7421, 13, 100001, 3567, 1562, 657, 2373, 276, 254, 1225, 280, 254, 3438, 12596, 11, 285, 657, 17033, 359, 11, 32280, 4999, 11, 64370, 410, 49460, 473, 634, 68272, 9859, 244, 1885, 12, 269, 814, 276, 1913, 13, 28862, 657, 1278, 729, 1883, 11, 33945, 410, 13520, 4054, 12, 6102, 881, 14585, 372, 41148, 498, 372, 245, 43362, 10648, 11, 6309, 657, 778, 31481, 271, 285, 3941, 1215, 3308, 581, 276, 704, 69384, 285, 352, 1440, 279, 634, 1913, 487, 82, 70254, 13, 100001, 1385, 3988, 12407, 572, 1104, 447, 7334, 47981, 1227, 83, 383, 34742, 46082, 89097, 1322, 2632, 32102, 11, 285, 19327, 11, 285, 95307, 4887, 327, 18294, 279, 254, 4426, 11, 362, 4759, 276, 1006, 953, 1066, 362, 438, 1310, 11, 285, 276, 330, 2049, 280, 586, 4559, 8450, 13, 100001, 2901, 4388, 331, 395, 614, 0, 487, 362, 993, 13, 207, 2901, 35458, 38501, 11834, 0, 77268, 38501, 11834, 0, 15429, 1079, 25761, 11, 280, 2629, 26, 558, 395, 418, 11, 601, 17353, 11, 521, 280, 450, 13, 1474, 395, 1534, 1529, 5738, 2302, 473, 254, 22221, 11493, 11, 5348, 11, 5348, 11, 395, 1534, 13, 487, 2991, 1069, 3073, 362, 3805, 842, 1310, 11, 3308, 430, 245, 58222, 11, 1224, 856, 7676, 276, 330, 245, 1234, 23660, 1439, 1461, 81429, 11, 285, 657, 38950, 1166, 857, 372, 5397, 372, 657, 1027, 13, 1474, 279, 245, 1585, 1477, 362, 8583, 8963, 285, 47952, 271, 254, 3207, 5914, 3200, 11, 586, 4288, 372, 565, 362, 438, 27484, 410, 87414, 1310, 13, 100001, 2901, 2640, 317, 359, 30, 487, 65544, 7421, 11, 4727, 81850, 1255, 254, 11264, 13, 207, 2901, 2640, 487, 82, 254, 933, 276, 47952, 3025, 429, 352, 796, 6128, 87703, 525, 1224, 366, 601, 15728, 4586, 13, 100001, 2054, 352, 796, 11, 285, 5738, 352, 4059, 26, 254, 3000, 1810, 352, 4059, 13, 487, 207, 2901, 5661, 11, 5348, 11, 285, 7421, 352, 4059, 0, 487, 7589, 452, 3237, 377, 13, 207, 2901, 36859, 324, 1513, 21313, 361, 314, 44017, 359, 11, 548, 1207, 324, 1513, 21313, 361, 314, 23998, 359, 13, 92511, 5538, 5738, 13, 1474, 344, 487, 82, 642, 3502, 13, 429, 3207, 487, 82, 6546, 11, 2262, 317, 4321, 13, 324, 1513, 21313, 361, 314, 32260, 26, 362, 487, 82, 441, 4977, 13, 487, 1063, 2674, 331, 1310, 11, 548, 586, 72886, 10318, 11, 285, 1131, 1132, 285, 1310, 362, 6626, 581, 276, 586, 2201, 5484, 11, 1842, 10191, 586, 10225, 67089, 285, 69804, 13, 1494, 742, 766, 254, 38501, 11834, 1027, 441, 4704, 410, 2213, 856, 438, 66623, 857, 13, 2928, 8963, 521, 1853, 41639, 11, 19813, 4010, 285, 12734, 13, 2158, 21675, 2860, 285, 7421, 359, 4759, 344, 657, 4101, 11, 2367, 2302, 11, 245, 1234, 259, 20044, 5778, 11, 1461, 285, 10212, 285, 17426, 13, 1955, 90055, 13, 2803, 254, 1246, 2780, 254, 33733, 280, 254, 3207, 5322, 83506, 276, 768, 26, 285, 359, 10318, 1079, 6159, 13, 1733, 657, 6626, 81332, 704, 14501, 11, 657, 4101, 245, 6565, 837, 245, 5409, 4321, 279, 254, 5013, 13, 429, 83067, 11493, 6887, 506, 11, 4165, 2026, 11, 285, 2674, 636, 13, 100001, 38, 3237, 377, 744, 441, 2938, 13, 1063, 6626, 30030, 285 ]
[ 100000, 565, 838, 4366, 525, 254, 5518, 280, 15892, 1062, 1719, 276, 254, 1783, 641, 276, 245, 5538, 1585, 10453, 366, 207, 891, 366, 245, 2683, 280, 8324, 280, 601, 1377, 13, 487, 207, 2901, 4026, 487, 82, 14700, 11, 487, 993, 50762, 13, 207, 2901, 43038, 5096, 856, 304, 4749, 4367, 26, 889, 11, 889, 1136, 11, 304, 1113, 487, 83, 1378, 304, 487, 647, 1481, 688, 691, 11, 487, 362, 9765, 284, 13710, 13, 100001, 3315, 280, 768, 11, 359, 4759, 11, 661, 94645, 19133, 25, 1319, 661, 4749, 344, 362, 438, 7540, 245, 4858, 1439, 245, 13423, 2201, 280, 5663, 344, 2762, 8450, 11, 285, 1874, 344, 362, 11246, 8758, 25, 3662, 1323, 586, 2764, 359, 2762, 11, 285, 276, 752, 359, 362, 661, 889, 276, 1947, 12159, 473, 254, 4559, 285, 4283, 254, 49315, 285, 254, 4429, 2481, 9501, 60100, 276, 3072, 13, 100001, 2901, 2280, 359, 4759, 276, 525, 11, 1653, 11, 487, 993, 65771, 807, 11, 207, 2901, 2573, 601, 4858, 744, 4512, 6486, 285, 3185, 889, 276, 4367, 13, 487, 207, 2901, 1898, 525, 359, 4759, 33837, 8387, 11, 487, 993, 15364, 283, 348, 13, 207, 2901, 21529, 359, 438, 889, 245, 1727, 11, 285, 838, 2215, 276, 1274, 769, 8052, 327, 711, 1377, 1207, 5487, 26, 548, 3308, 304, 1023, 463, 993, 344, 838, 438, 46918, 450, 11, 285, 9139, 856, 838, 44421, 276, 463, 254, 1823, 276, 2102, 13, 809, 933, 441, 330, 993, 344, 304, 15354, 276, 9031, 13, 429, 10889, 280, 4302, 281, 41821, 349, 418, 1927, 276, 704, 1734, 13, 487, 1474, 856, 362, 2215, 344, 254, 10850, 661, 7540, 857, 15364, 283, 348, 1216, 441, 2410, 13, 100001, 2280, 372, 327, 21675, 2860, 11, 362, 744, 441, 3753, 11, 2451, 15364, 283, 348, 16790, 857, 366, 4313, 13, 207, 2901, 4622, 4586, 340, 1234, 279, 711, 24529, 11, 26500, 12, 94298, 11, 487, 362, 993, 13, 100001, 2901, 5661, 11, 487, 993, 21675, 2860, 26, 207, 2901, 2381, 6851, 2373, 881, 601, 2764, 937, 304, 543, 2240, 745, 13, 487, 207, 2901, 6636, 11, 463, 245, 2062, 0, 487, 993, 15364, 283, 348, 13, 207, 2901, 40, 536, 441, 2213, 1653, 2049, 280, 437, 1473, 85, 844, 10850, 285, 711, 9993, 13, 487, 207, 2901, 64505, 642, 11626, 280, 254, 10850, 7646, 308, 20856, 0, 487, 993, 52334, 1752, 66358, 13, 207, 2901, 2054, 1006, 441, 856, 340, 1481, 13, 2071, 317, 279, 711, 285, 279, 437, 3114, 642, 11626, 11, 6838, 245, 668, 3792, 359, 24293, 3177, 13, 2928, 1632, 857, 63049, 0, 1474, 19635, 304, 2786, 5476, 1673, 5663, 327, 254, 1022, 766, 1962, 304, 2116, 36554, 409, 488, 13, 1308, 975, 304, 5476, 4399, 11, 285, 7654, 327, 245, 1477, 601, 20110, 2081, 304, 608, 25761, 279, 3123, 285, 279, 2997, 13, 487, 1063, 4733, 3177, 1224, 2065, 586, 24270, 285, 7276, 430, 2561, 881, 245, 1234, 5476, 13, 100001, 549, 3072, 3444, 1216, 254, 1246, 11, 285, 642, 3066, 410, 6267, 31770, 704, 55545, 13, 2473, 657, 33734, 657, 1503, 344, 254, 2156, 280, 1492, 438, 5846, 2065, 254, 22661, 1323, 254, 70452, 11, 285, 254, 37962, 8728, 285, 7276, 52813, 279, 254, 4281, 13, 100001, 5490, 10471, 742, 2507, 279, 86777, 789, 21313, 19646, 11, 558, 2367, 372, 657, 1027, 2410, 410, 5175, 13, 2428, 254, 1477, 344, 657, 48066, 745, 254, 4281, 34597, 3662, 11, 4617, 327, 245, 8771, 9748, 344, 7276, 430, 2602, 11, 285, 5079, 2302, 7933, 521, 2012, 5583, 285, 3920, 13, 429, 3207, 438, 5559, 285, 2838, 11, 372, 565, 359, 778, 3923, 8079, 11, 2618, 657, 4749, 786, 768, 254, 4399, 285, 31580, 7257, 280, 5490, 661, 441, 2826, 254, 5157, 285, 10850, 1310, 11, 285, 657, 661, 1585, 8689, 366, 254, 1473, 1722, 12, 33468, 26, 327, 1860, 280, 1069, 4437, 410, 744, 938, 254, 5653, 2114, 16777, 13, 19002, 5644, 661, 270, 5369, 768, 38152, 285, 5418, 1062, 1310, 276, 254, 56302, 280, 254, 5226, 11, 1066, 1228, 4348, 438, 1132, 5982, 1962, 254, 58285, 280, 364, 6045, 344, 254, 7947, 661, 4832, 13, 8427, 23280, 438, 2302, 1266, 3264, 254, 7646, 53813, 4383, 11, 285, 1166, 254, 1022, 2653, 362, 1216, 441, 5476, 366, 254, 750, 20935, 11, 2451, 362, 5651, 276, 6540, 285, 3075, 366, 768, 13, 28862, 362, 3061, 65771, 807, 366, 857, 754, 362, 2674, 17970, 279, 254, 3114, 11, 285, 254, 3072, 21517, 430, 437, 2262, 13, 100001, 4388, 372, 254, 20935, 2659, 410, 10408, 2854, 657, 8921, 280, 39369, 2520, 11, 285, 521, 344, 1319, 661, 3185, 285, 2826, 280, 857, 2373, 3662, 1323, 704, 15769, 13, 1733, 657, 778, 55422, 280, 12392, 285, 77774, 280, 3123, 254, 20110, 280, 704, 4257, 10318, 691, 17164, 13, 28862, 657, 4101, 14491, 1473, 85, 844, 18887, 17003, 11, 285, 4437, 344, 657, 778, 2883, 11688, 280, 66572, 12, 990, 335, 327, 586, 3467, 11, 327, 657, 9317, 586, 1210, 3264, 254, 6584, 9436, 3073, 344, 657, 1027, 441, 2579, 13, 100001, 44, 349, 21192, 348, 11, 364, 349, 21192, 348, 19544, 254, 1473, 1606, 11, 508, 89568, 25260, 0, 1494, 558, 657, 7130, 276, 1282, 857, 13, 1474, 565, 8427, 23280, 438, 366, 254, 7947, 11, 362, 744, 441, 6778, 254, 11688, 327, 768, 11, 5366, 344, 362, 661, 441, 254, 11228, 11, 285, 344, 327, 857, 254, 20110, 438, 1592, 1653, 3345, 11, 245, 3502, 327, 12867, 285, 441, 2618, 327, 5654, 13, 100001, 1385, 438, 21675, 2860, 779, 1022, 1957, 1874, 280, 586, 19506, 881, 86748, 3073, 13, 1063, 438, 24496, 6937, 276, 1099, 5654, 410, 55893, 26, 1236, 279, 433, 5338, 12, 42014, 362, 661, 19240, 285, 661, 441, 39333, 3177, 11, 2451, 586, 4887, 438, 9414, 366, 1313, 2012, 344, 3072, 661, 1401, 1323, 857, 13, 1474, 1132, 372, 362, 2659, 13869, 254, 37962, 279, 7980, 21313, 4397, 255, 285, 4101, 786, 857, 254, 18887, 280, 254, 1473, 1606, 11, 586, 2215, 3061, 6775, 279, 245, 5654, 344, 4759, 4770, 276, 857, 26, 2618, 754, 362, 3657, 276, 12926, 359, 276, 7421, 889, 4505, 66511, 10471, 11, 37583, 372, 245, 24963, 280, 76323, 8242, 13, 100001, 3287, 6787, 279, 254, 1783, 641, 438, 14518, 586, 41158, 331, 254, 10509, 778, 4101, 26, 1323, 254, 23608, 362, 2674, 2302, 331, 8398, 1234, 1673, 245, 1734, 13, 100001, 4044, 88820, 1569, 276, 12732, 14450, 11, 473, 18073, 9974, 276, 18034, 12967, 11, 1184, 31918, 12, 75, 1226, 285, 8628, 4167, 285, 4426, 2237, 16763, 362, 10408, 430, 543, 13, 100001, 3220, 96435, 285, 30438, 3390, 11, 1473, 1606, 285, 10889, 11, 366, 28578, 285, 38796, 22503, 11, 32, 27661, 16356, 11, 245, 19104, 1297, 11, 245, 1062, 344, 18261, 14172, 895, 3313, 26, 245, 52913, 12, 31095, 11, 245, 15200, 6243, 11, 245, 25761, 37230, 309, 331, 254, 4559, 13, 100001, 32, 15332, 280, 16533, 288, 2114, 271, 362, 2659, 11, 18847, 279, 18519, 11, 3399, 276, 7761, 26, 274, 1712, 668, 279, 245, 72870, 10076, 779, 32766, 2065, 245, 63274, 88, 5724, 13, 100001, 2450, 6626, 2065, 254, 10175, 5254, 285, 11365, 285, 37134, 1572, 97974, 26, 586, 5724, 438, 7488, 331, 254, 8665, 11, 279, 17834, 1758, 308, 12, 678, 133, 215, 273, 586, 16533, 7648, 13, 100001, 2901, 6568, 11, 340, 487, 647, 330, 24654, 2195, 13, 33388, 957, 2112, 0, 487, 993, 7421, 13, 100001, 2901, 3233, 11, 304, 608, 10297, 441, 11, 487, 993, 21675, 2860, 13, 207, 2901, 2395, 344, 317, 254, 1608, 304, 481, 536, 2618, 13, 487, 207, 2901, 6636, 11, 2195, 13, 21675, 2860, 11, 565, 340, 536, 463, 1913, 614, 11, 304, 3655, 340, 487, 647, 1481, 245, 1734, 786, 586, 54307, 11, 487, 993, 7421, 13, 207, 2901, 29534, 837, 437, 25, 429, 12897, 81985, 2647, 2826, 25, 657, 13326, 279, 7524, 280, 5501, 285, 5575, 11, 410, 1166, 22001, 14544, 37617, 2373, 13520, 837, 245, 9748, 280, 10252, 13, 100001, 23077, 344, 2845, 487, 83, 536, 768, 12079, 457, 245, 1234, 4559, 13, 487, 207, 2901, 3233, 11, 304, 487, 647, 4283, 344, 276, 340, 11, 7421, 13, 2489, 5216, 276, 33388, 957, 13, 1474, 207, 891, 1136, 11, 304, 481, 487, 83, 3075, 280, 359, 688, 691, 13, 304, 481, 487, 83, 8982, 276, 1378, 280, 11973, 254, 4921, 276, 857, 13, 487, 3474, 6787, 21675, 2860, 285, 7421, 778, 10147, 2854, 279, 254, 5559, 45660, 13, 9848, 280, 768, 4749, 42673, 1310, 13, 2426, 21675, 2860, 8963, 254, 13423, 280, 44749, 661, 14844, 25, 362, 4437, 13505, 344, 254, 766, 438, 1079, 3345, 754, 362, 1534, 4283, 86777, 789, 21313, 19646, 13, 100001, 2901, 2640, 536, 340, 1378, 280, 1473, 1606, 1132, 11, 7421, 30, 487, 362, 993, 13, 207, 2901, 40, 3637, 340, 254, 1246, 2512, 2561, 1323, 207, 891, 359, 3354, 245, 1079, 1234, 1477, 4084, 26, 548, 340, 463, 2826, 691, 280, 768, 1962, 937, 13, 487, 207, 2901, 40, 463, 6031, 0, 487, 993, 7421, 13, 207, 2901, 2280, 304, 35442, 745, 487, 82, 1473, 1606, 285, 1473, 1606, 13, 100001, 5490, 487, 248, 521, 1473, 85, 844, 2527, 11, 548, 657, 487, 248, 441, 521, 254, 1246, 13, 4201, 1069, 22503, 8221, 487, 83, 18012, 39523, 410, 32169, 11, 285, 1751, 245, 2683, 23479, 276, 254, 14823, 280, 450, 25, 657, 1751, 276, 6893, 1285, 11, 691, 1236, 853, 30438, 11834, 536, 279, 254, 22776, 3354, 276, 330, 1872, 331, 11, 285, 16304, 3354, 276, 1121, 359, 276, 13, 1273, 745, 487, 82, 688, 13912, 786, 11, 359, 487, 82, 1329, 1224, 4399, 11, 1066, 304, 481, 487, 83, 2762, 601, 4054, 331, 359, 11, 279, 245, 6166, 280, 9034, 13, 487, 207, 2901, 2054, 481, 1019, 285, 2213, 359, 13495, 11, 487, 993, 21675, 2860, 13, 100001, 2901, 6636, 11, 487, 993, 7421, 11, 207, 2901, 4215, 481, 487, 83, 1019, 16304, 2695, 359, 13, 2366, 54307, 837, 4922, 1712, 39369, 2520, 1222, 276, 1296, 13, 304, 3860, 395, 1113, 487, 83, 1019, 3011, 280, 254, 5157, 285, 10850, 279, 521, 1069, 2507, 13, 304, 14652, 1132, 344, 838, 1027, 536, 742, 7289, 2012, 11, 565, 838, 661, 245, 2764, 13, 304, 487, 67, 54755, 2126, 276, 1019, 742, 86933, 12, 43028, 11, 2195, 13, 21675, 2860, 0, 487, 207, 2901, 40, 7358, 487, 83, 11, 487, 993, 21675, 2860, 13, 207, 2901, 40, 608, 3093, 13, 1308, 304, 1113, 487, 83, 3610, 39369, 2520, 207, 487, 82, 54307, 11, 548, 586, 1617, 9426, 51802, 11, 285, 586, 3399, 4207, 11, 285, 586, 5136, 13, 487, 207, 2901, 2054, 487, 248, 1329, 11, 487, 993, 7421, 13, 207, 2901, 2280, 1113, 487, 83, 1378, 304, 487, 76, 7526, 10439, 13, 304, 487, 313, 2752, 4579, 276, 1019, 245, 2683, 280, 13912, 837, 856, 359, 10496, 280, 279, 1712, 29915, 11, 548, 304, 487, 313, 1866, 4101, 280, 245, 2018, 3114, 853, 437, 13, 809, 487, 82, 837, 1435, 430, 1719, 285, 331, 245, 11263, 430, 254, 1246, 766, 11, 565, 340, 2579, 525, 13, 304, 1113, 487, 83, 1121, 276, 4283, 13, 2428, 254, 1246, 11, 304, 487, 76, 6278, 276, 2213, 344, 565, 395, 487, 313, 2149, 276, 614, 331, 11, 937, 395, 487, 67, 1608, 752, 359, 855, 13, 100001, 2901, 1385, 487, 82, 254, 3112, 344, 487, 82, 1866, 3805, 372, 4497, 27719, 276, 8315, 11, 372, 601, 1712, 307, 67470, 1222, 276, 1481, 13, 1308, 304, 1113, 487, 83, 35442, 344, 1069, 22503, 481, 536, 1266, 691, 276, 1345, 450, 11, 13912, 410, 642, 13, 809, 487, 82, 754, 395, 4283, 437, 3114, 344, 395, 2786, 3610, 39369, 2520, 9507, 11, 304, 487, 76, 5764, 13, 487, 207, 2901, 40, 608, 10297, 344, 487, 82, 889, 1653, 1927, 11, 7421, 11, 487, 993, 21675, 2860, 13, 207, 2901, 23014, 304, 3655, 1079, 1266, 344, 1323, 395, 4283, 395, 2786, 1019, 254, 10850, 280, 254, 1473, 1606, 1310, 13, 487, 6809, 372, 362, 8921, 11, 657, 3505, 11, 372, 565, 838, 2373, 279, 3510, 276, 704, 3073, 11, 254, 10850, 7646, 308, 20856, 21054, 13, 33337, 285, 3682, 285, 4770, 838, 10408, 14172, 254, 7636, 13, 2130, 8921, 642, 1734, 11, 548, 54215, 19127, 276, 768, 13, 100001, 74047, 12159, 11, 838, 5426, 768, 5135, 254, 18034, 45021, 280, 254, 12967, 280, 2872, 281, 7646, 308, 18498, 11, 285, 9989, 1184, 245, 1461 ]
[ 100000, 715, 280, 1473, 81, 1089, 487, 82, 15507, 11, 280, 4989, 427, 1546, 256, 438, 254, 8037, 26, 285, 366, 857, 438, 452, 5876, 256, 11, 274, 86933, 473, 254, 25260, 32711, 660, 779, 661, 1865, 331, 274, 58205, 473, 339, 21313, 18700, 6132, 261, 254, 36008, 43012, 13, 2071, 438, 839, 245, 8387, 86933, 47286, 279, 5575, 285, 10176, 11, 8427, 23280, 11, 245, 35332, 473, 586, 4209, 11, 677, 21192, 59873, 11, 254, 5047, 280, 254, 1473, 1606, 280, 17506, 12160, 74, 5694, 13, 1308, 21928, 245, 1585, 8146, 438, 245, 8670, 668, 366, 245, 4770, 285, 12573, 3059, 11, 4426, 12, 48769, 285, 14518, 12, 32078, 11, 9326, 285, 22757, 280, 16455, 13, 100001, 2450, 438, 25985, 8910, 285, 35532, 372, 565, 327, 245, 8398, 331, 51993, 26, 285, 6031, 2451, 586, 35592, 778, 7353, 11, 285, 586, 38271, 438, 29052, 366, 14181, 11, 657, 778, 41658, 366, 1234, 4886, 13, 1063, 661, 245, 27851, 280, 11041, 279, 588, 245, 2816, 3682, 8665, 438, 845, 26, 586, 19928, 778, 467, 1752, 786, 586, 17459, 13, 2426, 245, 51676, 1476, 362, 18403, 245, 1228, 27250, 71738, 366, 11041, 344, 1132, 438, 9835, 2065, 586, 20661, 13, 1063, 32182, 430, 21675, 2860, 285, 33388, 957, 366, 6363, 3860, 13, 100001, 2901, 4898, 11, 487, 993, 1473, 81, 1089, 11, 9860, 276, 39369, 2520, 11, 207, 2901, 262, 15364, 283, 348, 11, 245, 668, 473, 254, 5178, 13, 1063, 9560, 279, 254, 14518, 4421, 11, 285, 26448, 327, 15521, 13, 304, 463, 270, 5369, 857, 276, 330, 1828, 11, 327, 1285, 586, 4313, 543, 330, 7589, 13, 487, 3688, 521, 344, 438, 13451, 285, 68144, 279, 254, 9288, 933, 1132, 330, 3542, 13, 21992, 438, 993, 280, 4378, 279, 254, 1843, 4881, 11, 4398, 279, 254, 5178, 11, 285, 279, 254, 5505, 19369, 12450, 280, 254, 34188, 13, 4947, 1069, 2012, 21675, 2860, 661, 2571, 4101, 1313, 78560, 26, 548, 254, 19025, 280, 452, 789, 21313, 279, 438, 761, 276, 857, 11, 285, 754, 254, 33466, 8921, 362, 19240, 83782, 13, 809, 7676, 344, 18872, 254, 69472, 280, 704, 2722, 280, 1297, 254, 14495, 280, 254, 414, 9738, 1606, 280, 254, 55673, 733, 17165, 778, 27484, 13, 100001, 2901, 1385, 317, 1132, 1313, 1555, 4084, 11, 487, 993, 452, 789, 21313, 246, 11, 207, 2901, 2573, 245, 13423, 280, 696, 26114, 7276, 2065, 769, 1245, 13, 2473, 347, 359, 2373, 395, 1216, 441, 430, 1022, 28725, 13, 100001, 36819, 4732, 276, 330, 22112, 279, 6486, 25, 359, 438, 993, 344, 395, 778, 22366, 2026, 279, 245, 9745, 1810, 11, 285, 344, 6146, 11171, 285, 69472, 744, 330, 1503, 279, 245, 19738, 1843, 13, 4754, 8921, 280, 364, 6045, 25, 254, 18995, 2722, 280, 769, 29436, 344, 418, 2424, 279, 769, 1377, 16777, 17834, 1758, 308, 12, 678, 133, 215, 76, 26, 285, 657, 12487, 344, 1132, 430, 1562, 395, 661, 254, 1823, 285, 5750, 276, 972, 13, 487, 452, 789, 21313, 279, 34456, 13, 207, 2901, 44, 6045, 0, 364, 6045, 0, 27806, 280, 254, 17506, 1843, 0, 26322, 4399, 395, 582, 1781, 745, 11, 285, 33734, 254, 96735, 5663, 13, 9055, 463, 895, 10999, 20609, 562, 72876, 7137, 1962, 254, 3022, 280, 20801, 246, 24517, 13, 1474, 1132, 395, 8921, 280, 359, 1310, 366, 38722, 11, 285, 2618, 366, 14489, 26, 327, 642, 33466, 643, 58641, 6472, 11, 285, 13701, 276, 614, 26, 285, 2451, 19763, 21313, 246, 1216, 441, 2102, 4283, 45088, 11, 362, 3061, 366, 857, 19574, 285, 508, 21313, 246, 285, 1313, 280, 769, 22503, 11, 285, 657, 2674, 2302, 8868, 13, 100001, 2901, 4026, 438, 50959, 331, 13888, 1555, 4084, 13, 1494, 245, 1477, 395, 661, 4921, 285, 359, 4759, 1207, 25, 9176, 6701, 344, 364, 6045, 661, 803, 8400, 285, 245, 1228, 830, 17070, 745, 13, 2928, 745, 438, 12114, 11, 285, 642, 1734, 643, 2647, 1865, 473, 364, 6045, 1962, 13, 100001, 2901, 4631, 786, 245, 1012, 4084, 245, 35332, 2373, 276, 19763, 21313, 246, 11, 548, 441, 473, 364, 6045, 207, 891, 473, 364, 694, 256, 25, 245, 7569, 1414, 279, 254, 2653, 11, 779, 2424, 19763, 21313, 246, 276, 586, 8364, 13, 429, 5157, 9501, 60100, 254, 6982, 11, 558, 362, 993, 11, 15699, 327, 769, 19422, 13, 61617, 362, 744, 2102, 327, 359, 11, 1108, 372, 362, 4366, 280, 1712, 13, 1308, 362, 3637, 83399, 13159, 38501, 11834, 11, 280, 856, 2447, 657, 778, 11, 285, 1066, 657, 48066, 13, 207, 2901, 2901, 1988, 9501, 60100, 7466, 11, 56988, 993, 362, 11, 207, 2901, 2901, 2573, 634, 280, 1069, 438, 3185, 276, 340, 331, 245, 766, 13, 56988, 207, 2901, 3567, 437, 395, 778, 11246, 27484, 11, 285, 395, 4366, 642, 3510, 13, 1308, 937, 586, 7276, 5136, 438, 31679, 11, 285, 362, 744, 463, 6584, 2954, 359, 565, 362, 1027, 13, 207, 2901, 2901, 2124, 245, 1760, 10728, 889, 280, 520, 19422, 9501, 60100, 17240, 437, 11, 56988, 362, 993, 25, 207, 2901, 2901, 2573, 340, 1023, 1275, 437, 39925, 11, 56988, 1108, 438, 586, 1734, 11, 207, 2901, 2901, 384, 752, 473, 857, 11, 9807, 410, 642, 11, 245, 1585, 7987, 11, 254, 2754, 280, 19352, 11, 344, 2561, 362, 32619, 13, 809, 317, 548, 245, 50111, 344, 9501, 60100, 66349, 11, 285, 274, 18727, 280, 520, 1207, 543, 13, 11424, 359, 11, 285, 1853, 19352, 344, 254, 96435, 12, 82, 3457, 21893, 280, 1712, 2786, 330, 5651, 276, 340, 11, 285, 254, 26210, 280, 364, 6045, 2786, 330, 12726, 327, 2647, 13, 11424, 889, 4921, 280, 254, 39925, 11, 3203, 362, 1592, 6110, 285, 1066, 11, 285, 340, 2786, 463, 1228, 11513, 285, 24251, 19422, 473, 254, 5157, 13, 100001, 2232, 2355, 11, 285, 2012, 543, 441, 1751, 558, 1136, 13, 3132, 340, 20770, 30, 56988, 207, 2901, 3567, 344, 586, 9004, 2373, 837, 254, 586, 82, 280, 56013, 11, 285, 521, 779, 6626, 457, 80078, 11, 548, 19763, 21313, 246, 993, 25, 207, 2901, 2901, 40, 1481, 8533, 65042, 5068, 45781, 13, 304, 1534, 2225, 437, 3965, 285, 856, 359, 2456, 1090, 895, 4770, 38271, 13, 56988, 207, 2901, 207, 2901, 2901, 16237, 1136, 11, 548, 441, 1653, 1234, 11, 56988, 993, 362, 13, 100001, 2901, 207, 2901, 2901, 549, 766, 280, 601, 2215, 317, 601, 1377, 276, 7594, 11, 56988, 7589, 19763, 21313, 246, 13, 100001, 2901, 207, 2901, 2901, 1988, 254, 1828, 11, 56988, 993, 362, 11, 285, 19354, 881, 254, 16342, 13, 100001, 2901, 79747, 463, 254, 14495, 280, 769, 90992, 2208, 803, 1962, 344, 2653, 13, 1003, 4067, 441, 254, 7276, 5136, 280, 254, 35332, 276, 11916, 450, 344, 586, 3073, 4586, 1572, 76005, 285, 61706, 26, 327, 395, 4437, 2571, 344, 254, 1823, 344, 643, 298, 12, 44322, 364, 694, 256, 643, 441, 5464, 11, 285, 2647, 359, 42352, 450, 280, 1712, 13, 82597, 254, 35332, 643, 5651, 11, 285, 643, 5418, 83593, 13, 100001, 549, 4443, 285, 1562, 766, 11, 558, 362, 2970, 11, 317, 3444, 276, 1865, 11, 1323, 254, 15592, 280, 254, 1012, 13, 100001, 2901, 2280, 558, 304, 463, 803, 2143, 430, 1562, 457, 19763, 21313, 246, 276, 11916, 33388, 957, 344, 362, 317, 14144, 457, 254, 75425, 11, 285, 276, 3071, 11, 565, 975, 330, 11, 2643, 362, 25372, 437, 7987, 11, 437, 2754, 280, 19352, 13, 6070, 395, 68725, 254, 7402, 280, 1473, 81, 1089, 13, 1494, 254, 37134, 19112, 285, 24259, 23479, 13, 1003, 9172, 344, 73136, 463, 7690, 642, 3510, 11, 254, 75425, 975, 2938, 10889, 280, 586, 6290, 276, 65578, 5047, 19437, 11, 285, 19763, 21313, 246, 839, 13, 487, 207, 2901, 2054, 463, 2368, 1136, 276, 1865, 11, 487, 993, 1473, 81, 1089, 13, 207, 2901, 2054, 543, 4704, 3571, 521, 344, 340, 933, 279, 1835, 276, 2579, 254, 9993, 280, 254, 75425, 13, 100001, 2960, 317, 66003, 344, 340, 481, 536, 11, 750, 853, 276, 3890, 11, 366, 3655, 410, 1673, 359, 13, 1474, 340, 536, 441, 2039, 5254, 13, 1257, 543, 3071, 344, 520, 8168, 317, 548, 697, 280, 254, 8168, 280, 521, 254, 17868, 1843, 13, 429, 26500, 0, 2461, 2786, 395, 536, 366, 254, 26500, 11, 254, 2754, 280, 19352, 11, 254, 50111, 344, 9501, 60100, 66349, 30, 2608, 317, 254, 48237, 344, 395, 1534, 52380, 13, 100001, 2901, 4026, 317, 254, 5487, 327, 588, 340, 418, 2424, 24293, 13, 41239, 11, 304, 1481, 11, 2451, 304, 463, 441, 2424, 340, 276, 525, 11, 28163, 473, 16066, 19369, 13, 100001, 2054, 463, 1865, 285, 418, 1285, 2011, 11, 279, 437, 1079, 25124, 280, 766, 11, 457, 5518, 372, 359, 975, 1751, 13, 11169, 359, 317, 441, 558, 13, 53244, 3272, 344, 359, 317, 558, 10133, 344, 395, 11, 779, 2097, 1285, 11, 285, 5249, 3072, 11, 1534, 1132, 1275, 15521, 327, 254, 32280, 280, 254, 1843, 13, 100001, 2901, 4388, 11, 4573, 11, 2012, 2786, 330, 32346, 13451, 344, 463, 803, 8628, 473, 521, 548, 245, 1860, 2645, 437, 1492, 13, 1308, 1022, 11, 558, 344, 521, 975, 2579, 856, 317, 254, 32280, 11, 254, 53158, 280, 254, 26500, 2786, 330, 3542, 473, 254, 6278, 1236, 276, 437, 1828, 13, 1308, 304, 543, 3488, 344, 19025, 11, 2451, 3072, 2786, 1225, 359, 13, 487, 2928, 521, 19240, 1477, 1473, 81, 1089, 279, 586, 3662, 5136, 8921, 280, 9501, 60100, 285, 254, 61617, 280, 8604, 11, 285, 704, 327, 4163, 279, 254, 11392, 20169, 280, 254, 1843, 1234, 4084, 13, 338, 697, 280, 586, 19025, 438, 3185, 276, 742, 745, 11, 548, 254, 2201, 19025, 276, 5249, 11, 285, 1313, 3545, 778, 4540, 276, 1473, 81, 1089, 279, 5663, 285, 3860, 372, 362, 3542, 280, 254, 1473, 1722, 12, 30167, 82, 280, 427, 15392, 285, 704, 19422, 366, 364, 6045, 11, 285, 704, 55327, 327, 4530, 11, 457, 588, 9501, 60100, 3785, 77, 1674, 768, 13, 1494, 279, 344, 766, 362, 438, 441, 2618, 11626, 276, 26641, 11, 285, 657, 4503, 586, 10731, 285, 10318, 18995, 279, 9896, 11, 12130, 362, 7213, 521, 704, 24980, 11, 285, 42352, 768, 11, 285, 59739, 39841, 279, 254, 364, 4191, 12, 244, 444, 280, 11365, 254, 3474, 26500, 276, 330, 704, 5738, 13, 1474, 33181, 309, 4439, 438, 6737, 280, 857, 11, 285, 17508, 254, 14863, 588, 362, 661, 1401, 26, 285, 745, 438, 4429, 11, 285, 254, 3114, 438, 9835, 9974, 11, 285, 254, 8364, 280, 364, 6045, 438, 7574, 13, 100001, 4631, 1184, 521, 254, 1555, 344, 5496, 362, 36411, 254, 26500, 26, 548, 1962, 344, 4345, 317, 16302, 51711, 271, 11, 1236, 372, 1473, 81, 1089, 3177, 845, 359, 1224, 279, 586, 5515, 280, 63618, 11, 359, 317, 441, 1285, 31530, 13, 1494, 359, 317, 245, 1234, 19025, 11, 2201, 280, 31977, 1228, 285, 12906, 11, 285, 20358, 2451, 1473, 81, 1089, 8921, 11, 254, 4281, 19354, 581, 254, 9539, 11, 285, 254, 4421, 438, 9989, 31076, 362, 23832, 13, 100001, 4112, 36644, 21313, 3741, 256, 362, 8921, 11, 895, 16431, 285, 895, 3467, 11, 285, 254, 972, 280, 254, 23555, 280, 10889, 276, 14901, 12, 25914, 636, 280, 254, 315, 2057, 280, 254, 15441, 11, 28782, 2065, 254, 19814, 280, 10955, 13, 2928, 1473, 409, 296, 254, 33337, 285, 586, 18995, 16512, 11, 2128, 858, 332, 285, 34507, 21313, 81, 277, 11, 5322, 1228, 41785, 26, 285, 254, 5226, 12, 58669, 657, 7267, 29610, 280, 1473, 1606, 285, 10889, 11, 285, 254, 18813, 280, 17308, 12, 17092, 308, 285, 1473, 409, 296, 778, 91183, 279, 1576, 18382, 13, 100001, 2960, 12758, 1473, 81, 1089, 24882, 245, 1477, 285, 34456, 13, 207, 2901, 40, 5175, 1136, 254, 69472, 280, 704, 54707, 11, 487, 362, 993, 13, 207, 2901, 1385, 31530, 276, 525, 254, 16431, 280, 254, 45316, 25452, 285, 254, 18813, 280, 7036, 25084, 384, 11, 558, 1313, 1228, 26124, 285, 59728, 778, 25220, 13, 1308, 2618, 441, 558, 1313, 11, 5068, 558, 4770, 11, 372, 754, 677, 673, 256, 355, 4383, 438, 7488, 11, 285, 254, 1473, 1606, 24712, 344, 11626, 438, 9765, 327, 2647, 11, 285, 359, 438, 441, 558, 13, 487, 207, 2901, 2054, 5175, 30, 487, 993, 21675, 2860, 11, 9034, 586, 2215, 30294, 279, 586, 37156, 13, 207, 2901, 2395, 304, 2215, 11, 487, 362, 76159, 372, 1473, 81, 1089, 4540, 5135, 857, 11, 207, 2901, 40, 2215, 344, 254, 3467, 280, 17308, 12, 17092, 308, 438, 245, 1234, 4500 ]
[ 100000, 778, 5030, 0, 487, 362, 7899, 13, 100001, 2901, 3647, 2618, 0, 487, 993, 39369, 2520, 13, 207, 2901, 2395, 745, 317, 642, 766, 327, 3860, 13, 4953, 340, 614, 11, 521, 280, 340, 11, 1224, 254, 20706, 0, 22944, 245, 1860, 4063, 327, 525, 430, 254, 5736, 11, 548, 565, 304, 536, 441, 1865, 3444, 11, 614, 331, 0, 3659, 5397, 285, 4352, 12888, 5881, 1329, 285, 63016, 13, 487, 207, 2901, 1380, 2977, 4283, 340, 276, 2785, 254, 4167, 5254, 0, 487, 993, 52334, 1752, 13, 100001, 2901, 4453, 372, 304, 1481, 0, 487, 993, 39369, 2520, 49799, 13, 207, 2901, 50, 10422, 418, 642, 691, 938, 1285, 13, 100001, 7350, 0, 487, 429, 13108, 438, 11769, 457, 642, 26886, 285, 438, 23972, 4426, 13, 1955, 75400, 271, 704, 1143, 1224, 245, 1234, 11468, 280, 5610, 11, 285, 937, 4133, 1062, 26, 548, 657, 1027, 1019, 3011, 11, 5085, 1461, 2330, 768, 254, 17203, 70673, 280, 254, 43424, 487, 82, 5724, 13, 1063, 4759, 276, 330, 1592, 8898, 331, 6839, 457, 254, 6079, 4167, 13, 21675, 2860, 47460, 16917, 285, 32766, 2481, 7421, 11, 779, 1957, 586, 7921, 786, 857, 13, 1955, 6626, 74005, 581, 254, 20706, 881, 254, 16342, 13, 100001, 53556, 2860, 2215, 362, 1027, 4704, 254, 5136, 280, 39369, 2520, 2330, 11, 93956, 3073, 344, 7279, 1224, 254, 74676, 9911, 366, 245, 96766, 6393, 13, 1063, 1027, 441, 5770, 856, 438, 993, 13, 429, 9906, 4759, 276, 330, 31345, 13, 6576, 1132, 285, 1310, 254, 22248, 12, 89441, 95728, 3873, 285, 19178, 25, 48237, 11, 48237, 13, 100001, 51297, 430, 254, 1869, 280, 254, 24221, 745, 438, 245, 39071, 280, 3682, 2156, 13, 100001, 4631, 745, 438, 245, 20224, 16183, 966, 285, 245, 6751, 288, 484, 13, 429, 22248, 12, 89441, 11564, 636, 40402, 25, 48237, 12, 92444, 11, 48237, 12, 92444, 11, 285, 937, 8583, 13, 39369, 2520, 2373, 15892, 1224, 254, 5610, 285, 7276, 276, 254, 3419, 279, 254, 19480, 280, 254, 7947, 13, 100001, 2901, 6636, 11, 1136, 0, 2608, 487, 82, 855, 0, 487, 993, 254, 43424, 18701, 276, 586, 5144, 13, 207, 2901, 40, 463, 2368, 521, 344, 304, 1027, 13, 1474, 304, 463, 2011, 601, 4174, 11, 285, 463, 6128, 803, 16298, 13, 1474, 1113, 487, 83, 2039, 1285, 0, 3659, 331, 0, 1257, 543, 463, 276, 536, 1673, 2156, 327, 245, 1477, 25, 304, 608, 3272, 44876, 13, 3659, 331, 0, 3659, 331, 0, 8880, 418, 340, 11, 65771, 807, 30, 15512, 8450, 366, 525, 0, 14715, 3415, 4435, 11, 521, 280, 340, 0, 487, 1955, 38950, 1166, 857, 11978, 856, 661, 6628, 13, 78521, 11, 48237, 2674, 254, 22248, 12, 89441, 1310, 25, 657, 1132, 26460, 88079, 285, 2367, 2302, 11, 548, 657, 778, 1893, 13, 2071, 438, 642, 750, 3066, 280, 25595, 11, 8533, 45989, 280, 5144, 11, 5068, 688, 5136, 13, 39369, 2520, 3061, 642, 9236, 11, 1329, 410, 2116, 11, 327, 254, 13108, 4759, 276, 330, 1872, 279, 254, 5489, 344, 362, 8758, 13, 6576, 1132, 285, 1310, 359, 32215, 245, 11468, 280, 5610, 11, 15092, 410, 691, 11, 276, 245, 3927, 2258, 13, 2803, 254, 2780, 344, 438, 704, 8037, 7082, 26, 327, 279, 254, 4426, 657, 1027, 441, 1019, 245, 24683, 11, 2645, 657, 2373, 331, 359, 3567, 254, 1225, 280, 274, 5064, 657, 661, 5418, 245, 13925, 11, 410, 6642, 245, 1585, 691, 11, 285, 661, 32215, 1313, 23266, 280, 20706, 13, 2071, 438, 1592, 642, 3066, 280, 25595, 13, 33780, 657, 4732, 276, 3655, 344, 657, 744, 10778, 13, 100001, 3567, 254, 5736, 280, 254, 30838, 11468, 39369, 2520, 41639, 13, 100001, 2901, 1385, 317, 3442, 3550, 0, 487, 362, 50399, 13, 207, 2901, 1380, 9090, 276, 330, 1224, 430, 2754, 276, 254, 2258, 280, 254, 42166, 1132, 13, 30876, 304, 1378, 395, 1023, 1068, 327, 245, 2116, 12, 4567, 1947, 276, 1529, 450, 12450, 13, 304, 3655, 359, 317, 441, 2367, 13, 304, 608, 1079, 25761, 13, 304, 1534, 1610, 1285, 245, 2780, 11, 1236, 565, 521, 254, 410, 5508, 2647, 79606, 418, 1166, 450, 13, 487, 65771, 807, 3061, 586, 5868, 285, 8579, 857, 1224, 276, 245, 9888, 331, 254, 3458, 13, 100001, 2901, 2640, 6628, 2302, 581, 745, 430, 254, 4167, 30, 487, 362, 3637, 13, 207, 2901, 13062, 340, 2984, 254, 330, 988, 280, 254, 42189, 30, 487, 207, 2901, 40, 536, 441, 1006, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 2395, 304, 1503, 4367, 8963, 17815, 457, 1874, 344, 304, 463, 441, 2011, 1323, 13, 304, 1027, 1378, 280, 3011, 276, 536, 548, 276, 1682, 285, 1957, 245, 43564, 12, 61763, 331, 254, 4167, 13, 304, 1006, 1313, 26, 548, 276, 536, 2012, 280, 344, 2447, 39745, 6235, 766, 11, 285, 1236, 937, 254, 4167, 481, 330, 7488, 457, 6313, 13, 100001, 2901, 2124, 304, 6626, 745, 304, 1027, 4704, 410, 66, 12, 64201, 331, 254, 750, 2387, 25, 430, 688, 2780, 304, 2215, 657, 744, 13326, 359, 1721, 13, 304, 1027, 441, 4704, 856, 438, 993, 26, 657, 4759, 276, 330, 6807, 279, 704, 1377, 49255, 4706, 13, 100001, 3315, 304, 9317, 438, 307, 3793, 133, 215, 467, 25, 344, 317, 207, 2901, 2901, 12002, 56988, 13, 2928, 1874, 2373, 881, 254, 18377, 207, 891, 304, 4749, 359, 1184, 254, 4167, 11, 285, 254, 410, 5508, 4449, 778, 10297, 285, 7276, 13117, 13, 809, 9835, 2785, 280, 254, 8752, 7987, 11, 285, 937, 359, 20940, 525, 285, 601, 18572, 13, 100001, 2901, 2640, 359, 438, 304, 2977, 6384, 11, 548, 304, 463, 1866, 4749, 1108, 245, 8919, 13, 100001, 549, 7114, 12, 61763, 438, 12906, 13, 809, 6128, 11564, 525, 13, 1494, 274, 7315, 254, 4167, 2116, 601, 2689, 285, 4732, 276, 1721, 0, 304, 661, 276, 3753, 245, 1734, 280, 13803, 13, 2608, 10340, 1653, 1228, 245, 17819, 13, 429, 4167, 13326, 279, 8155, 13, 100001, 29534, 4426, 372, 245, 6788, 438, 25528, 636, 521, 254, 2156, 4650, 11, 285, 304, 438, 13188, 29517, 1224, 254, 20706, 13, 2428, 254, 4239, 4366, 1143, 11, 285, 254, 9911, 280, 254, 18377, 372, 1136, 11, 304, 1378, 13, 100001, 2901, 40, 608, 10297, 10383, 246, 317, 19268, 4399, 11, 285, 6642, 1874, 1979, 317, 19268, 745, 1653, 13, 304, 2977, 1481, 13, 1474, 430, 2754, 254, 13108, 4435, 450, 438, 5522, 19283, 13, 14096, 0, 304, 463, 1866, 4749, 558, 7133, 11, 548, 359, 317, 9989, 13, 1308, 1132, 856, 786, 340, 11, 21675, 2860, 30, 2071, 438, 441, 766, 276, 1481, 558, 11, 548, 304, 463, 1866, 803, 691, 20394, 279, 601, 1728, 853, 754, 340, 8921, 13, 304, 26619, 344, 359, 438, 245, 18127, 548, 5030, 38501, 3390, 344, 52334, 1752, 438, 13552, 13, 487, 207, 2901, 2640, 786, 525, 30, 487, 993, 21675, 2860, 13, 207, 2901, 40, 608, 13260, 11, 285, 3000, 304, 1378, 13, 304, 608, 75257, 285, 279, 4452, 11, 548, 359, 317, 441, 1653, 3806, 13, 487, 207, 2901, 6636, 11, 487, 993, 52334, 1752, 11, 207, 2901, 40, 481, 889, 1481, 344, 38501, 11834, 418, 1401, 280, 245, 6508, 558, 13768, 344, 304, 463, 1866, 2011, 254, 837, 280, 359, 13, 15918, 304, 3185, 11, 304, 744, 71, 3766, 79, 544, 95733, 925, 572, 247, 774, 17697, 33, 758, 0, 4026, 9462, 268, 12, 19189, 483, 8502, 40, 2213, 372, 565, 304, 661, 803, 9317, 1439, 245, 30519, 285, 274, 274, 46191, 13, 487, 1063, 993, 642, 691, 13, 1063, 1503, 23159, 20450, 13, 100001, 2901, 2054, 1529, 1166, 33388, 957, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2960, 317, 691, 786, 340, 853, 18880, 254, 6011, 11, 372, 304, 993, 280, 857, 1234, 4084, 13, 487, 21675, 2860, 21517, 565, 254, 7545, 7195, 691, 853, 359, 993, 13, 100001, 5490, 1132, 2674, 331, 1310, 13, 12337, 1234, 65771, 807, 8921, 13, 1063, 661, 17164, 3545, 279, 254, 4426, 13, 207, 2901, 40, 1378, 11, 487, 362, 993, 11, 207, 2901, 2573, 745, 317, 245, 2156, 8450, 13, 1474, 359, 317, 441, 32461, 13, 809, 317, 3074, 13, 2461, 481, 359, 330, 30, 487, 207, 2901, 38, 3793, 133, 215, 1040, 0, 487, 35351, 39369, 2520, 13, 207, 2901, 40, 3860, 565, 344, 317, 856, 657, 7195, 25, 344, 254, 3927, 6125, 418, 331, 4043, 30, 14070, 11, 395, 481, 889, 614, 331, 13, 487, 30876, 254, 2156, 5322, 78815, 11, 285, 1027, 330, 2826, 457, 521, 13, 809, 438, 64628, 285, 36301, 331, 254, 9906, 2302, 1224, 254, 13108, 1323, 768, 13, 1955, 1027, 1132, 1019, 704, 1143, 25, 279, 3865, 254, 4559, 1906, 13652, 1224, 35503, 11, 285, 742, 1143, 8450, 745, 6626, 245, 2495, 3949, 1411, 26, 1184, 359, 254, 7476, 2156, 2373, 13, 429, 3207, 5322, 1079, 3550, 13, 100001, 3287, 657, 2373, 276, 254, 3949, 39369, 2520, 2674, 1184, 11, 21728, 276, 768, 276, 3825, 13, 1733, 362, 6626, 953, 5897, 254, 7783, 657, 3505, 586, 3059, 11769, 457, 245, 3074, 23191, 13, 85656, 362, 20210, 1062, 13, 100001, 2901, 2960, 317, 742, 761, 21067, 674, 1285, 11, 487, 362, 993, 11, 207, 2901, 2959, 2345, 327, 769, 9335, 11, 642, 5914, 13, 1474, 304, 1006, 1132, 1066, 395, 418, 25, 395, 463, 6889, 254, 5904, 20593, 11, 254, 2258, 6163, 2877, 254, 42166, 13, 1002, 317, 254, 11392, 9243, 280, 9320, 364, 6045, 26, 285, 254, 42166, 418, 3345, 25, 2302, 5897, 254, 23535, 1225, 11, 331, 254, 2116, 11, 441, 691, 853, 245, 8404, 280, 245, 13925, 13, 56449, 254, 18803, 11, 581, 245, 5846, 24221, 11, 2726, 245, 5505, 4559, 11, 1184, 254, 5904, 9243, 11, 285, 636, 0, 1474, 1865, 285, 1068, 0, 487, 1955, 79842, 636, 13, 12337, 768, 438, 1913, 50065, 625, 11482, 13, 809, 438, 39346, 1369, 285, 2367, 4172, 853, 254, 634, 279, 588, 657, 661, 25119, 13, 1955, 778, 3345, 895, 23535, 1225, 26, 59335, 359, 7279, 2302, 881, 16342, 13, 16375, 254, 7144, 41753, 271, 245, 4974, 1353, 280, 68422, 46737, 13, 1955, 778, 35352, 837, 270, 7467, 280, 18995, 7636, 4318, 67815, 76399, 254, 9911, 366, 245, 10592, 12, 6209, 60738, 1431, 280, 8665, 13, 9191, 36311, 778, 6799, 285, 3438, 11, 548, 245, 3074, 23191, 438, 4426, 326, 62957, 279, 704, 9226, 13, 12975, 3246, 254, 6597, 11, 3415, 276, 254, 5144, 280, 984, 6791, 46737, 245, 1228, 82013, 453, 661, 6899, 13, 6367, 280, 359, 245, 25984, 3074, 2156, 2373, 11, 285, 1132, 285, 1310, 31577, 284, 11743, 430, 254, 63330, 285, 61867, 786, 254, 19671, 280, 254, 10114, 13, 21292, 833, 280, 4426, 14463, 6887, 506, 279, 254, 3550, 3207, 13, 100001, 2901, 1847, 395, 661, 1865, 457, 254, 1969, 4559, 1224, 473, 254, 6909, 44397, 11, 395, 1023, 463, 803, 33137, 1285, 11, 487, 993, 39369, 2520, 13, 207, 2901, 4160, 450, 3655, 344, 254, 4043, 1132, 11012, 1439, 450, 285, 25595, 13, 15512, 0, 2071, 317, 642, 766, 276, 8433, 13, 487, 6809, 372, 362, 8921, 657, 4101, 1310, 254, 31527, 22248, 12, 24283, 25, 78521, 11, 48237, 11, 2860, 283, 13, 75243, 40281, 672, 92074, 253, 21198, 7780, 7231, 662, 247, 26678, 2901, 4388, 327, 254, 1562, 7499, 0, 487, 993, 39369, 2520, 13, 207, 2901, 1847, 254, 4281, 317, 25288, 4881, 11, 395, 975, 1592, 10778, 13, 4128, 525, 0, 487, 1063, 4540, 2116, 285, 60769, 3246, 254, 6799, 6597, 280, 254, 11482, 13, 429, 5013, 438, 6146, 853, 359, 661, 4133, 13, 1733, 657, 7279, 657, 4101, 254, 8896, 285, 6393, 280, 1313, 62569, 5144, 4435, 13, 338, 62299, 56992, 2674, 581, 25, 657, 661, 803, 2826, 13, 2071, 438, 245, 7987, 285, 48565, 280, 10586, 13, 1640, 18660, 88568, 855, 21675, 2860, 487, 82, 1917, 13, 100001, 59540, 283, 348, 14032, 13, 207, 2901, 5490, 1216, 441, 2162, 437, 11, 487, 362, 993, 13, 207, 2901, 549, 4043, 643, 3423, 768, 842, 13, 1003, 418, 331, 254, 4360, 2387, 0, 487, 207, 2901, 9610, 8450, 0, 487, 2424, 39369, 2520, 13, 207, 2901, 549, 18803, 317, 3345, 13, 42898, 317, 11866, 285, 9745, 13, 487, 41554, 21675, 2860, 3505, 1323, 857, 245, 3438, 99715, 13, 2803, 254, 1225, 280, 254, 11482, 254, 6597, 35638, 285, 7276, 276, 274, 9255, 8760, 13, 429, 12881, 4167, 1027, 889, 330, 6889, 457, 245, 37181, 10175, 280, 8665, 11, 1673, 52671, 65, 410, 10347, 11, 344, 53769, 254, 99715, 366, 634 ]
[ 100000, 2901, 19582, 340, 487, 248, 1329, 11, 7421, 11, 487, 993, 21675, 2860, 9034, 32346, 13, 207, 2901, 2960, 317, 245, 2262, 279, 857, 11, 548, 953, 856, 2447, 280, 245, 2262, 285, 946, 4399, 11, 304, 487, 76, 441, 2049, 2618, 13, 60411, 2451, 11, 304, 1113, 487, 83, 1378, 745, 317, 688, 933, 327, 5663, 207, 891, 430, 1828, 13, 14070, 4348, 565, 340, 4796, 13, 19175, 525, 786, 984, 3821, 11, 441, 691, 11, 285, 937, 1282, 525, 13, 487, 2086, 13400, 438, 21675, 2860, 344, 586, 1917, 7276, 4312, 331, 586, 12960, 285, 362, 25119, 11, 3308, 372, 3444, 372, 362, 661, 13451, 254, 3073, 13, 452, 3237, 377, 4759, 642, 4172, 276, 463, 688, 23407, 13, 1063, 61867, 581, 285, 2674, 5397, 276, 5476, 11, 3148, 405, 67666, 13, 53911, 586, 9004, 438, 586, 4288, 26380, 1184, 586, 82558, 12466, 11, 548, 362, 2762, 1592, 372, 8665, 13, 4128, 245, 1477, 11, 58040, 344, 362, 744, 4107, 842, 3177, 11, 565, 362, 2659, 12734, 276, 586, 984, 20935, 23159, 11, 7421, 2149, 581, 285, 18317, 381, 1519, 271, 452, 3237, 377, 13, 3848, 4054, 405, 1870, 1215, 285, 3172, 39059, 11, 548, 362, 1401, 642, 750, 8308, 13, 7421, 18261, 1224, 285, 993, 82013, 71, 3415, 276, 586, 3256, 11, 548, 745, 438, 642, 4400, 11, 441, 1236, 245, 5770, 279, 452, 3237, 377, 487, 82, 23159, 13, 100001, 22407, 64629, 586, 1917, 13, 207, 2901, 27856, 1921, 330, 20208, 11, 487, 362, 35351, 13, 207, 2901, 2280, 565, 304, 438, 837, 452, 3237, 377, 11, 362, 7358, 487, 83, 15511, 581, 1866, 1310, 13, 487, 1063, 59906, 254, 8052, 280, 586, 16356, 285, 254, 22967, 344, 27376, 276, 586, 2764, 11, 285, 2674, 285, 2659, 1224, 457, 586, 5738, 13, 100001, 3287, 362, 33734, 581, 254, 9539, 2330, 438, 4165, 11, 441, 25122, 548, 35691, 853, 754, 657, 661, 11124, 271, 13, 7421, 88837, 276, 586, 5144, 13, 3688, 2754, 473, 586, 1377, 6153, 280, 66654, 285, 28406, 11, 362, 8963, 10117, 344, 362, 661, 25119, 254, 32461, 2302, 11, 11326, 3821, 430, 2754, 13, 21675, 2860, 438, 1592, 4311, 20208, 11, 13595, 1132, 24880, 331, 586, 2387, 13, 452, 3237, 377, 438, 441, 276, 330, 2826, 13, 40140, 44077, 1086, 4773, 327, 3177, 2373, 276, 7421, 487, 82, 2764, 11, 10237, 473, 254, 452, 67470, 487, 82, 2317, 72164, 1734, 12, 1394, 494, 26, 937, 359, 839, 11129, 276, 857, 344, 586, 5738, 661, 803, 1329, 25, 745, 661, 327, 254, 1828, 803, 3011, 276, 6839, 2481, 13, 1955, 778, 430, 688, 3934, 1572, 13260, 285, 405, 38625, 1403, 1215, 13, 100001, 2901, 36859, 60087, 0, 487, 362, 993, 3222, 57089, 3200, 13, 207, 2901, 4388, 304, 3860, 1066, 362, 487, 82, 2149, 276, 30, 487, 207, 2901, 3647, 2367, 11, 441, 2367, 0, 487, 993, 245, 5136, 2330, 857, 13, 1063, 4133, 581, 285, 3505, 254, 6775, 280, 452, 3237, 377, 487, 82, 2317, 1917, 285, 14501, 2481, 254, 6787, 9539, 13, 100001, 2901, 4898, 11, 856, 418, 340, 3217, 30, 487, 7899, 7421, 11, 586, 54342, 4321, 1062, 372, 3444, 372, 362, 3505, 344, 6775, 13, 100001, 2901, 50, 1513, 21313, 361, 314, 317, 21416, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 4677, 1062, 3444, 13, 487, 207, 2901, 17095, 1062, 1132, 0, 487, 25455, 7421, 13, 207, 2901, 11007, 0, 15512, 1062, 0, 487, 1474, 452, 3237, 377, 661, 35638, 13, 2901, 40, 34788, 2470, 11, 487, 993, 7421, 13, 207, 2901, 5045, 84226, 709, 11, 304, 35442, 13, 1308, 362, 487, 82, 5418, 842, 13, 100001, 50, 797, 362, 487, 82, 21416, 13, 487, 207, 2901, 7390, 487, 83, 10304, 0, 487, 993, 21675, 2860, 13, 207, 2901, 2960, 487, 82, 642, 1345, 327, 359, 13, 1474, 362, 487, 647, 1865, 1062, 11, 340, 487, 647, 1019, 13, 429, 10668, 543, 2785, 2618, 245, 1477, 13, 1308, 362, 2115, 487, 83, 4283, 586, 27650, 1123, 11, 12344, 13, 487, 21675, 2860, 1401, 2156, 280, 359, 754, 362, 7213, 344, 657, 661, 25119, 91605, 327, 3821, 366, 452, 3237, 377, 11, 285, 245, 1079, 21416, 452, 3237, 377, 1653, 11, 15374, 13869, 768, 13, 207, 2901, 7390, 487, 83, 1378, 280, 688, 280, 520, 307, 67470, 487, 82, 2074, 4773, 11, 487, 362, 993, 13, 207, 2901, 2054, 778, 16870, 636, 11, 285, 359, 643, 4540, 636, 1136, 25, 395, 418, 1132, 1572, 31611, 13, 100001, 2280, 395, 463, 245, 2074, 4559, 8450, 11, 254, 11312, 4559, 280, 521, 13, 487, 207, 2901, 13664, 254, 3427, 11, 487, 993, 7421, 13, 207, 2901, 2819, 1234, 487, 82, 359, 1872, 276, 1529, 450, 276, 536, 437, 3112, 30, 1308, 754, 359, 487, 82, 2368, 11, 856, 418, 395, 1872, 276, 536, 937, 30, 1002, 1143, 27297, 11526, 340, 331, 520, 12882, 279, 245, 7289, 1143, 11, 2451, 359, 2845, 487, 83, 12276, 254, 5180, 2550, 1826, 11, 372, 340, 1667, 1481, 25, 441, 276, 601, 6153, 48835, 11, 4569, 642, 65107, 276, 768, 372, 1401, 359, 13, 1474, 340, 463, 276, 6540, 742, 280, 359, 1131, 1492, 11, 285, 359, 2845, 487, 83, 2554, 13, 304, 35442, 395, 487, 313, 2149, 2527, 276, 1562, 11, 1481, 11, 1853, 5752, 410, 558, 11, 285, 344, 366, 245, 10601, 20437, 285, 245, 2156, 19022, 11, 2764, 340, 13, 1003, 487, 313, 803, 245, 2683, 2094, 366, 359, 558, 2367, 13, 487, 207, 2901, 40, 1113, 487, 83, 1006, 946, 1234, 395, 2786, 1529, 276, 207, 891, 276, 8315, 11, 487, 993, 21675, 2860, 13, 207, 2901, 1380, 778, 84290, 25659, 279, 254, 17188, 13, 1474, 7421, 3740, 42724, 49675, 11, 601, 7415, 38501, 3390, 207, 891, 6031, 11, 7421, 601, 42942, 38501, 3390, 11, 2138, 280, 3997, 207, 891, 304, 536, 441, 1378, 395, 933, 2102, 2215, 276, 856, 3450, 1166, 344, 13, 2158, 536, 254, 3112, 372, 340, 1957, 359, 207, 891, 856, 3655, 317, 745, 344, 395, 2647, 2786, 30, 1308, 565, 395, 536, 11, 779, 7466, 856, 543, 1865, 280, 344, 30, 1273, 254, 3474, 5014, 881, 254, 11365, 11, 285, 395, 418, 430, 1297, 30, 304, 2088, 340, 11, 7421, 11, 418, 395, 2647, 4135, 276, 933, 9886, 1310, 30, 304, 1378, 441, 13, 1273, 395, 481, 21299, 769, 32004, 276, 3792, 450, 276, 7408, 78521, 11, 344, 317, 521, 395, 481, 536, 13, 4600, 853, 304, 481, 11, 304, 3488, 276, 2213, 13, 487, 7421, 27007, 34033, 13, 1063, 3061, 586, 5738, 487, 82, 1297, 285, 18261, 855, 359, 13, 1063, 1216, 441, 13257, 359, 11, 2451, 586, 12867, 7276, 331, 359, 13, 2928, 362, 4540, 2302, 11, 12419, 586, 33989, 855, 586, 15728, 11, 285, 2149, 581, 11, 285, 38820, 786, 11, 3507, 276, 38541, 11, 285, 5366, 1439, 254, 8950, 25, 207, 2901, 9595, 487, 82, 344, 2407, 18328, 18588, 30, 487, 809, 438, 3370, 441, 1234, 1323, 452, 3237, 377, 5651, 26, 548, 362, 2373, 558, 17987, 344, 657, 1216, 441, 4704, 857, 6309, 362, 6626, 1323, 768, 13, 3848, 14773, 285, 3059, 778, 98109, 366, 3438, 17511, 13, 1063, 438, 1592, 67514, 285, 18441, 49206, 13, 2461, 362, 438, 67514, 11, 657, 1216, 441, 2088, 410, 837, 276, 1378, 13, 100001, 2901, 54, 561, 82, 410, 99259, 410, 1874, 31481, 88, 636, 280, 15101, 11, 487, 2215, 7421, 13, 100001, 2901, 33, 2303, 0, 429, 36978, 18588, 26, 254, 4922, 60087, 0, 487, 452, 3237, 377, 993, 3011, 276, 768, 11, 2645, 362, 661, 24876, 15358, 285, 26829, 3177, 279, 254, 5545, 13, 2928, 362, 2373, 581, 276, 768, 11, 284, 20594, 586, 12077, 13, 207, 2901, 44309, 1132, 11, 487, 362, 993, 13, 207, 2901, 7425, 395, 31611, 30, 37194, 276, 614, 331, 30, 30287, 38501, 11834, 11, 657, 5476, 23140, 13, 16101, 324, 1513, 21313, 361, 314, 1132, 30, 15429, 11, 1079, 1207, 13, 487, 14323, 691, 37367, 13, 9904, 5736, 438, 2246, 84215, 285, 691, 85544, 11, 285, 9405, 895, 9226, 74482, 1215, 276, 12596, 13716, 13, 809, 4732, 276, 5409, 285, 34730, 13, 100001, 4026, 2653, 12419, 276, 895, 1225, 11, 548, 16785, 778, 1132, 855, 12780, 285, 5395, 11, 285, 657, 4437, 280, 254, 4321, 280, 1492, 889, 457, 254, 4363, 27659, 280, 254, 10212, 14518, 2156, 13, 100001, 774, 245, 28599, 5064, 657, 2373, 276, 254, 1225, 280, 254, 2354, 12, 16363, 13, 429, 13716, 5322, 36944, 12, 33806, 96222, 13, 8075, 254, 1562, 24312, 280, 6299, 1255, 8665, 254, 5545, 307, 3955, 1215, 285, 7276, 1224, 881, 245, 10176, 40835, 285, 438, 4739, 13, 25092, 81429, 586, 15646, 285, 84342, 2451, 657, 1027, 2213, 642, 5409, 13, 100001, 2921, 2818, 2387, 285, 279, 3865, 5505, 267, 660, 285, 273, 3457, 1132, 2762, 11, 34320, 2302, 69804, 285, 67089, 881, 254, 4165, 3222, 12, 3205, 13, 364, 1934, 61867, 285, 42478, 473, 4426, 285, 41148, 498, 31369, 13, 429, 298, 1795, 280, 768, 11704, 67507, 2237, 279, 254, 1592, 3207, 13, 13095, 2302, 11, 1132, 3308, 3266, 8868, 11, 254, 11072, 12, 9906, 280, 364, 694, 256, 645, 20200, 11, 837, 245, 3438, 3253, 280, 38798, 16785, 17864, 2330, 245, 11866, 27464, 12, 7957, 5532, 13, 100001, 549, 38501, 11834, 778, 1132, 22268, 279, 254, 4054, 280, 452, 3237, 377, 13, 1955, 1216, 441, 1006, 11, 285, 1027, 441, 6384, 279, 344, 83067, 2156, 11, 344, 657, 778, 279, 1714, 889, 953, 2383, 254, 18073, 26922, 280, 254, 93802, 11, 254, 1969, 77808, 280, 588, 2762, 8868, 280, 768, 13, 1955, 1027, 11, 565, 657, 661, 3185, 254, 19369, 11, 366, 742, 8401, 463, 29825, 3263, 704, 5610, 245, 1585, 11, 285, 937, 9860, 12450, 463, 1865, 4078, 855, 2074, 16672, 276, 254, 10922, 8800, 280, 44392, 256, 13322, 25, 254, 2021, 280, 254, 10641, 8680, 1323, 254, 18318, 280, 364, 694, 256, 13, 100001, 3647, 344, 745, 438, 1228, 3655, 279, 1108, 245, 2629, 13, 2426, 344, 84215, 8800, 745, 438, 642, 4831, 11, 285, 3246, 359, 7279, 254, 63979, 280, 254, 2489, 5508, 285, 254, 13474, 280, 254, 75425, 13, 3688, 1236, 254, 25985, 8667, 280, 7980, 21313, 4397, 255, 744, 463, 31323, 768, 745, 13, 100001, 2901, 2819, 536, 395, 6775, 769, 2629, 1132, 11, 324, 1513, 21313, 361, 314, 30, 487, 3637, 21675, 2860, 13, 207, 2901, 27856, 395, 4234, 1069, 11626, 12, 3081, 4192, 267, 660, 30, 487, 207, 2901, 3233, 933, 11, 642, 933, 430, 521, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 3647, 565, 38501, 11834, 1121, 276, 5934, 254, 4426, 14499, 285, 614, 276, 1019, 12823, 1079, 3399, 13, 9635, 245, 1585, 11, 285, 4078, 245, 1585, 487, 207, 891, 586, 59521, 5868, 43656, 8687, 285, 12450, 207, 891, 207, 2901, 384, 340, 481, 1865, 331, 2074, 6159, 16672, 276, 254, 1079, 18318, 280, 3848, 3085, 13, 39499, 280, 3848, 1245, 543, 330, 745, 2709, 636, 327, 10764, 11, 1079, 11718, 276, 1529, 768, 6044, 276, 12823, 11, 508, 5348, 13, 3848, 30607, 32741, 344, 1143, 521, 254, 766, 13, 809, 9317, 324, 1513, 21313, 361, 314, 745, 11, 1234, 4084, 13, 487, 452, 3237, 377, 80078, 13, 207, 2901, 2395, 324, 1513, 21313, 361, 314, 643, 1222, 586, 3545, 1962, 937, 11, 5348, 11, 5348, 25, 304, 487, 313, 1222, 3545, 285, 5144, 285, 15728, 1962, 937, 13, 304, 1006, 750, 4703, 13, 4600, 3915, 11, 441, 558, 3399, 26, 548, 2018, 11, 565, 395, 1113, 487, 83, 1121, 12823, 276, 1019, 13, 23028, 324, 1513, 21313, 361, 314, 0, 1063, 481, 1529, 340, 1184, 254, 93802, 11, 1184, 254, 95027, 11, 5538, 7141, 95027, 13, 100001, 25807, 324, 1513, 21313, 361, 314, 1079, 10654, 11, 285, 340, 975, 614, 245, 1234, 1143, 11, 3148, 245, 1385, 438, 2571, 1492, 11, 245, 5409, 1568, 285, 55432, 4421, 11, 285, 254, 40986, 12, 298, 5011, 2762, 279, 6751, 13716, 13, 2366, 4281, 57488, 254, 2495, 93438, 9539, 11, 285, 452, 3237, 377, 4759, 17177, 276, 4883, 254, 8398, 430, 2561, 13, 2086, 1166, 245, 8749, 1610, 657, 845, 636, 1310, 285, 778, 3444, 4739, 279, 245, 67029, 13117, 1843, 11, 3423, 842, 473, 521, 2343, 280, 254, 19369, 786, 11, 2818, 254, 17188, 344, 657, 661, 2116, 410, 254, 14499, 344, 657, 14144, 13, 1955, 2674, 9405, 279, 2816, 1761, 25, 452, 3237, 377, 11, 7421, 11, 21675, 2860, 13, 100001, 53556, 2860 ]
[ 100000, 1481, 1572, 642, 285, 5348, 13, 487, 207, 2901, 3110, 359, 6031, 30, 487, 14032, 452, 858, 256, 13, 207, 2901, 1877, 1606, 24496, 2102, 405, 3441, 17593, 7402, 11, 327, 7402, 317, 245, 11866, 8292, 11, 1236, 473, 254, 13430, 276, 254, 13430, 11, 285, 521, 12707, 975, 1409, 3730, 13, 1474, 856, 744, 340, 30, 1257, 463, 441, 3542, 525, 521, 13159, 4769, 26, 285, 946, 937, 2786, 304, 4352, 2018, 853, 340, 30, 1474, 565, 340, 5521, 7402, 11, 304, 543, 327, 19422, 487, 82, 13470, 2102, 359, 13, 304, 1378, 340, 1023, 1132, 614, 430, 2561, 11, 1673, 8401, 26, 285, 565, 39369, 2520, 1217, 441, 1865, 1323, 340, 845, 636, 11, 937, 304, 839, 20436, 437, 25, 536, 441, 614, 5254, 13, 100001, 15004, 1108, 3997, 372, 418, 29553, 285, 9807, 13, 4201, 340, 1023, 330, 16770, 11, 327, 304, 536, 441, 2102, 437, 15521, 37809, 13, 429, 1473, 1606, 463, 704, 1377, 66102, 285, 704, 1377, 60248, 11, 285, 657, 418, 1585, 10849, 366, 254, 4703, 280, 38501, 11834, 11, 410, 280, 688, 750, 21774, 2065, 6039, 13, 4265, 12888, 4234, 34964, 24496, 11, 457, 5518, 410, 5487, 13, 685, 437, 6244, 745, 975, 330, 691, 853, 5518, 26, 548, 254, 5487, 317, 441, 3662, 276, 525, 11, 285, 304, 5663, 276, 1481, 1653, 1266, 13, 487, 207, 2901, 40, 608, 15358, 16770, 11, 487, 993, 21675, 2860, 26, 207, 2901, 2381, 304, 4796, 340, 744, 2410, 525, 29224, 856, 254, 6350, 433, 7260, 418, 13, 1273, 304, 1529, 520, 7402, 304, 975, 441, 1019, 39369, 2520, 327, 245, 1234, 1477, 11, 285, 304, 9090, 276, 1006, 856, 317, 254, 7082, 344, 11216, 1154, 525, 13, 487, 207, 2901, 3110, 359, 441, 2527, 276, 1006, 344, 657, 418, 20595, 280, 254, 75425, 30, 487, 7589, 452, 858, 256, 13, 207, 2901, 37, 16043, 768, 0, 56240, 642, 3073, 276, 768, 0, 1955, 418, 27661, 13, 20839, 642, 691, 280, 525, 0, 1474, 601, 2997, 18067, 3384, 344, 11, 31076, 521, 317, 9765, 11, 340, 11, 21675, 2860, 4278, 280, 66528, 2304, 11, 543, 1006, 691, 280, 1069, 7276, 2012, 853, 452, 858, 256, 685, 2533, 256, 277, 13, 3638, 1473, 65, 669, 393, 4088, 340, 0, 487, 207, 2901, 2395, 1066, 2786, 304, 1275, 15035, 30, 487, 3637, 21675, 2860, 13, 207, 2901, 4026, 317, 856, 304, 27789, 933, 13, 487, 207, 2901, 34, 54183, 317, 1503, 279, 18714, 6171, 11, 487, 993, 452, 858, 256, 13, 207, 2901, 4677, 280, 1207, 11838, 1006, 280, 520, 8398, 11, 285, 1462, 344, 463, 1823, 327, 1207, 2786, 330, 331, 254, 4348, 13, 304, 1210, 340, 86933, 12, 8149, 26, 285, 975, 254, 7524, 25801, 2065, 254, 1225, 280, 520, 4559, 0, 18783, 4049, 463, 395, 661, 1108, 9175, 279, 28163, 11, 285, 359, 317, 4770, 276, 4704, 3073, 280, 254, 37836, 44151, 473, 254, 12077, 280, 750, 18012, 39523, 279, 254, 1843, 13, 487, 21675, 2860, 4749, 5476, 4321, 2065, 857, 11, 1236, 372, 452, 858, 256, 7370, 3753, 12, 6209, 13, 207, 2901, 40, 543, 5476, 1132, 11, 487, 362, 993, 26, 285, 254, 86933, 5426, 857, 276, 245, 90321, 13869, 375, 12082, 246, 11, 285, 362, 15188, 3177, 2065, 245, 3853, 285, 7276, 430, 2561, 881, 245, 6267, 1568, 55545, 13, 27024, 207, 19, 338, 13746, 8333, 339, 3231, 8519, 364, 42593, 2256, 87142, 685, 254, 4421, 21675, 2860, 33734, 51870, 13, 1063, 438, 13595, 279, 245, 90321, 1401, 457, 245, 4731, 5330, 366, 16000, 99773, 285, 80560, 276, 254, 3419, 26, 586, 3853, 438, 280, 90075, 285, 11387, 11, 4399, 285, 2838, 285, 38360, 53447, 13, 429, 4281, 438, 25288, 1184, 254, 85010, 8242, 11, 588, 778, 1592, 5575, 2065, 254, 5330, 13, 1063, 24381, 581, 285, 2674, 636, 13, 100001, 22407, 438, 9368, 331, 254, 11387, 3345, 254, 5941, 280, 254, 4837, 13, 375, 12082, 246, 438, 8898, 16208, 254, 9539, 285, 8077, 13, 2071, 438, 642, 1472, 280, 254, 1473, 1606, 13, 100001, 2901, 5490, 463, 2116, 450, 9606, 285, 7369, 11, 285, 9886, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 17095, 285, 463, 520, 11124, 13, 429, 9886, 28096, 3308, 372, 1207, 372, 359, 1216, 1562, 2653, 13, 304, 1216, 441, 1121, 276, 4283, 340, 688, 11, 548, 7421, 27304, 13, 487, 21675, 2860, 2659, 1224, 13869, 7421, 285, 4732, 276, 6540, 13, 207, 2901, 2640, 317, 254, 2449, 327, 3571, 30, 487, 3637, 375, 12082, 246, 13, 100001, 2901, 1898, 3667, 276, 23512, 275, 12965, 372, 5397, 372, 2198, 11, 487, 7589, 21675, 2860, 11, 285, 4366, 586, 5379, 276, 254, 3427, 13, 100001, 2901, 4453, 340, 1378, 395, 2786, 1019, 3270, 280, 1462, 433, 7260, 30, 487, 3637, 375, 12082, 246, 53848, 13, 10281, 254, 4421, 4281, 254, 14352, 280, 7123, 245, 3000, 42506, 280, 768, 1216, 441, 1751, 1079, 56146, 276, 857, 13, 100001, 2901, 5661, 11, 3748, 11, 487, 993, 21675, 2860, 11, 441, 36823, 254, 29780, 13, 207, 2901, 2395, 304, 3655, 276, 752, 3246, 254, 8144, 1673, 704, 7123, 450, 13, 487, 207, 2901, 13062, 340, 1275, 636, 3270, 786, 768, 473, 452, 858, 256, 30, 487, 207, 2901, 3647, 1266, 207, 891, 889, 28328, 285, 80001, 878, 11, 487, 993, 21675, 2860, 760, 281, 2137, 13, 100001, 2901, 13062, 340, 2088, 786, 254, 47952, 272, 30, 487, 207, 2901, 1380, 3320, 487, 83, 3303, 359, 11, 487, 993, 21675, 2860, 366, 586, 8602, 2201, 13, 100001, 2901, 2054, 1023, 463, 13, 304, 608, 2049, 359, 317, 1079, 2375, 13, 487, 207, 2901, 774, 344, 1460, 304, 608, 2049, 452, 858, 256, 744, 463, 15354, 276, 6716, 359, 11, 487, 993, 21675, 2860, 29731, 13, 207, 2901, 2280, 1132, 4283, 525, 279, 6942, 327, 245, 2683, 0, 304, 1113, 487, 83, 1121, 276, 3510, 245, 2662, 280, 4313, 1477, 304, 608, 11258, 13, 304, 1121, 276, 1378, 0, 487, 207, 2901, 11083, 34457, 0, 487, 993, 375, 12082, 246, 13, 207, 2901, 3567, 11124, 30, 487, 1063, 10408, 2302, 5135, 254, 5941, 280, 254, 5575, 13, 100001, 4044, 21675, 2860, 487, 82, 2764, 254, 6464, 4421, 207, 891, 41107, 4999, 6464, 11, 362, 2215, 207, 891, 661, 441, 64959, 254, 5663, 280, 25595, 26, 285, 362, 90959, 254, 3073, 280, 452, 858, 256, 13, 429, 30542, 5136, 280, 375, 12082, 246, 2373, 276, 857, 13, 1063, 438, 3268, 331, 254, 5575, 44996, 285, 17003, 13, 100001, 2901, 3233, 0, 304, 1027, 441, 0, 487, 362, 993, 276, 3177, 13, 207, 2901, 1385, 317, 634, 2421, 276, 1529, 601, 2823, 3997, 10147, 855, 254, 1783, 641, 366, 525, 11, 2645, 395, 418, 21416, 8589, 565, 657, 418, 9807, 276, 1865, 13, 429, 37310, 317, 7207, 5254, 13, 304, 1113, 487, 83, 1378, 304, 9090, 1236, 276, 1529, 7421, 13, 487, 1063, 4133, 430, 7421, 42724, 49675, 11, 285, 9351, 344, 7421, 438, 9697, 857, 13, 100001, 2901, 6636, 11, 7421, 0, 487, 362, 993, 13, 207, 2901, 2640, 786, 359, 30, 304, 608, 7933, 254, 1783, 641, 372, 3444, 372, 2647, 304, 481, 207, 891, 279, 1714, 304, 463, 1401, 581, 601, 2764, 1132, 441, 1236, 276, 3825, 245, 1492, 430, 7011, 772, 5086, 776, 11, 565, 359, 481, 330, 8579, 13, 487, 207, 2901, 16877, 1207, 11, 8005, 0, 487, 207, 2901, 2054, 1592, 2059, 276, 1865, 366, 525, 30, 487, 207, 2901, 40, 536, 13, 487, 207, 2901, 1385, 317, 1872, 276, 330, 1079, 11866, 11, 7421, 13, 809, 317, 2571, 11866, 13, 100001, 11694, 4135, 8533, 280, 450, 543, 1865, 1062, 13, 487, 207, 2901, 1847, 340, 1113, 487, 83, 1865, 1062, 11, 8005, 11, 937, 304, 65168, 487, 83, 11, 344, 487, 82, 2569, 11, 487, 993, 7421, 13, 207, 2901, 7390, 487, 83, 340, 4283, 857, 0, 657, 993, 276, 525, 13, 28764, 857, 0, 304, 993, 13, 304, 1866, 2059, 276, 13, 304, 608, 1872, 366, 857, 11, 565, 362, 81439, 276, 254, 20992, 26, 285, 565, 688, 280, 1462, 6350, 433, 7260, 1682, 276, 3070, 857, 11, 657, 487, 647, 463, 7421, 42724, 49675, 276, 35442, 366, 11, 304, 993, 13, 1955, 14032, 13, 487, 207, 2901, 11604, 418, 657, 11, 285, 856, 418, 340, 6807, 786, 30, 487, 207, 2901, 549, 1473, 1606, 11, 8005, 13, 1003, 661, 742, 3075, 1562, 2653, 26, 285, 657, 4759, 276, 1006, 340, 778, 1872, 2302, 11, 558, 304, 3320, 487, 83, 1019, 254, 938, 280, 47954, 359, 13, 100001, 73020, 22503, 11, 1473, 1606, 11, 8005, 0, 60705, 0, 487, 207, 2901, 5490, 418, 11, 487, 993, 21675, 2860, 13, 207, 2901, 4453, 340, 837, 768, 1592, 11, 1132, 340, 463, 661, 245, 11765, 2343, 30, 487, 207, 2901, 5490, 1751, 245, 2683, 2330, 601, 14823, 285, 696, 58028, 11, 558, 276, 3753, 11, 487, 7589, 7421, 9405, 13, 207, 2901, 1385, 1113, 487, 83, 1751, 276, 3502, 856, 304, 1378, 786, 768, 13, 1955, 418, 3148, 1448, 473, 856, 304, 4061, 207, 891, 558, 1712, 285, 2823, 11, 285, 558, 16218, 285, 9436, 11, 372, 359, 778, 13, 487, 21675, 2860, 4133, 430, 7421, 3272, 37728, 11, 3222, 20331, 276, 1019, 742, 29985, 1472, 280, 254, 8788, 2262, 344, 4759, 276, 463, 1865, 855, 857, 13, 100001, 1385, 1216, 441, 3066, 837, 254, 5136, 280, 254, 1712, 7421, 42724, 49675, 344, 362, 2215, 362, 4437, 13, 1474, 359, 4133, 837, 254, 1712, 7421, 42724, 49675, 9368, 745, 11, 5085, 344, 586, 3059, 438, 47464, 31580, 13, 100001, 2901, 4453, 340, 2213, 688, 933, 276, 4283, 254, 1783, 641, 1132, 207, 891, 1132, 344, 520, 4796, 276, 1019, 768, 643, 1865, 1927, 2571, 30, 487, 362, 3637, 13, 100001, 2901, 5661, 11, 8005, 13, 304, 1113, 487, 83, 1006, 946, 276, 1481, 359, 11, 548, 1166, 1562, 2653, 304, 2213, 1448, 13, 304, 1751, 276, 1019, 8450, 11, 279, 245, 2447, 280, 1143, 13, 304, 1006, 395, 418, 1872, 276, 1529, 245, 1079, 1234, 4559, 11, 881, 16342, 26, 548, 304, 1006, 304, 481, 487, 83, 1947, 1062, 13, 100001, 1385, 4269, 487, 83, 276, 1019, 1473, 1606, 1132, 11, 5068, 63323, 11, 5068, 14499, 11, 344, 304, 1121, 207, 891, 304, 1113, 487, 83, 39745, 1006, 856, 304, 1121, 25, 548, 304, 463, 1874, 276, 536, 1323, 254, 1225, 11, 285, 359, 11012, 8450, 11, 441, 279, 254, 1783, 641, 13, 304, 1534, 1019, 359, 1184, 11, 8005, 11, 565, 340, 2579, 525, 13, 487, 207, 2901, 40, 1113, 487, 83, 16369, 13, 1474, 304, 2579, 344, 39369, 2520, 13070, 525, 245, 1207, 15640, 13, 304, 608, 3093, 13, 1003, 543, 614, 2854, 13, 487, 2901, 3315, 4599, 276, 1330, 30, 487, 362, 993, 372, 375, 12082, 246, 7279, 581, 13, 207, 2901, 1380, 1534, 330, 3442, 842, 430, 2561, 13, 1003, 25119, 5189, 26, 285, 745, 418, 245, 1207, 1313, 6593, 276, 614, 13, 487, 207, 2901, 2054, 25119, 5189, 11, 340, 2059, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 40, 438, 581, 1234, 1323, 26, 285, 395, 418, 889, 7511, 327, 340, 276, 8315, 11258, 285, 5764, 13, 487, 207, 2901, 40, 463, 7370, 1572, 1132, 13, 1308, 304, 608, 1872, 276, 1099, 327, 23512, 275, 12965, 62361, 372, 5397, 372, 2198, 13, 304, 608, 441, 1872, 636, 280, 254, 1143, 11, 1062, 276, 254, 4559, 395, 2116, 1562, 2653, 25, 304, 608, 1872, 276, 3423, 6044, 3246, 3085, 473, 1285, 13, 487, 207, 2901, 4631, 340, 418, 1872, 276, 10572, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2054, 2115, 487, 83, 3423, 6044, 331, 4414, 10279, 279, 437, 3085, 13, 487, 207, 2901, 1380, 481, 3423, 5365, 11266, 853, 254, 4559, 12344, 11, 487, 7589, 21675, 2860, 13, 100001, 2901, 549, 62361, 317, 12450, 473, 10082, 26678, 26, 548, 254, 2074, 4559, 13800, 2302, 276, 254, 2116, 207, 891, 340, 481, 1019, 245, 26981, 280, 359, 2302, 8687, 855, 745, 13, 809, 5014, 4078, 254, 8687, 1225, 280, 254, 2545, 844, 558, 372, 276, 15207, 254, 4309, 1411, 473, 254, 18803, 2330, 17495, 13, 1474, 344, 317, 6593, 636, 280, 254, 1143, 13, 1003, 1027, 4617, 245, 8404, 280, 254, 5013, 565, 395, 1401, 245, 1353, 327, 254, 62361, 473, 1066, 395, 2039, 13, 487, 207, 2901, 19643, 17414, 1099, 1234, 28572, 11, 487, 24222, 375, 12082, 246, 13, 207, 2901, 549, 3085, 317, 9109, 4078 ]
[ 100000, 276, 254, 417, 6570, 280, 2128, 255, 13, 1733, 657, 19354, 473, 1090, 254, 71002, 280, 254, 4837, 11, 8427, 23280, 41639, 285, 4133, 1062, 366, 19038, 13, 2928, 362, 4366, 245, 6363, 5778, 13, 100001, 2901, 2960, 418, 3545, 0, 487, 362, 993, 13, 207, 2901, 36, 8711, 2709, 636, 473, 254, 25851, 280, 254, 67815, 0, 304, 1866, 3505, 1108, 3545, 1323, 13, 487, 429, 3072, 11, 12052, 457, 586, 5778, 11, 41639, 285, 4540, 26, 548, 8427, 23280, 3805, 276, 10502, 1062, 13, 100001, 2901, 3233, 11, 642, 0, 487, 7899, 65771, 807, 13, 207, 2901, 4453, 372, 340, 4066, 279, 520, 40549, 11, 548, 1632, 525, 1022, 752, 1224, 473, 437, 7569, 0, 304, 4796, 276, 1019, 642, 3545, 0, 487, 207, 2901, 36632, 11, 8427, 23280, 7538, 30108, 2081, 487, 993, 39369, 2520, 13, 207, 2901, 4453, 441, 614, 1062, 881, 254, 4837, 11, 441, 2618, 0, 4201, 317, 441, 520, 766, 13, 487, 6809, 372, 362, 8921, 11, 745, 2373, 4312, 636, 280, 254, 7636, 1853, 8387, 18294, 13, 1733, 8670, 372, 244, 64743, 657, 778, 11, 15367, 5144, 410, 691, 279, 5484, 26, 704, 2955, 12792, 11, 33976, 372, 2823, 7636, 11, 4759, 276, 330, 47286, 366, 1819, 2415, 410, 366, 12434, 280, 3415, 12, 34204, 14518, 285, 10176, 13, 9191, 32004, 778, 1234, 11, 285, 704, 4054, 661, 1313, 14773, 26, 704, 5539, 438, 19813, 11, 285, 704, 330, 2550, 14518, 12, 12361, 372, 36944, 13, 1955, 32182, 636, 366, 20292, 3545, 11, 548, 657, 778, 441, 2709, 430, 254, 33819, 25, 704, 3545, 778, 18261, 8687, 2849, 13, 41554, 657, 18949, 704, 1234, 4054, 276, 704, 47396, 11, 285, 2143, 8188, 39237, 8104, 11, 3662, 372, 9267, 280, 245, 27250, 11, 548, 691, 9686, 285, 3947, 13, 429, 8104, 778, 7589, 26, 285, 9860, 1310, 11, 254, 33819, 3505, 750, 21774, 280, 254, 1246, 2447, 21054, 11, 1406, 3645, 1184, 254, 11387, 13, 1955, 2373, 35503, 473, 254, 5226, 11, 10147, 837, 259, 9308, 711, 879, 279, 704, 59091, 11, 548, 441, 279, 704, 4583, 26, 327, 704, 12882, 279, 704, 1234, 57068, 8896, 31557, 853, 254, 711, 249, 487, 82, 19814, 13, 429, 33819, 7899, 30294, 279, 3860, 11, 285, 742, 845, 704, 4054, 2065, 704, 16356, 12, 67009, 1269, 13, 100001, 2901, 2054, 933, 642, 15872, 11, 487, 993, 39369, 2520, 13, 207, 2901, 6723, 418, 548, 38375, 41533, 13, 100001, 5490, 418, 441, 14924, 11, 6031, 657, 418, 441, 10849, 366, 450, 430, 521, 13, 487, 2086, 359, 4759, 276, 330, 26, 327, 372, 362, 8921, 254, 8670, 21774, 11, 1673, 245, 16455, 430, 254, 33819, 11, 75809, 881, 254, 4837, 285, 35638, 13, 100001, 2901, 13608, 67, 41533, 0, 487, 993, 429, 21313, 94054, 13, 207, 2901, 9595, 418, 704, 64218, 30, 2461, 418, 657, 11, 39369, 2520, 3025, 1494, 359, 317, 8800, 344, 276, 340, 11, 430, 688, 3934, 11, 657, 418, 441, 8387, 13, 487, 207, 2901, 5490, 418, 254, 86636, 280, 254, 7636, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 3110, 359, 558, 1234, 1962, 340, 19240, 276, 29915, 457, 254, 22533, 546, 30, 2071, 418, 3022, 279, 520, 3114, 779, 11, 636, 280, 254, 25852, 20407, 280, 3693, 11, 1027, 4354, 254, 3510, 276, 520, 2512, 13, 1257, 463, 2826, 7901, 82, 11, 508, 5047, 11, 7901, 82, 636, 280, 84700, 1752, 18724, 11, 588, 279, 520, 16777, 340, 1282, 254, 7901, 5694, 13, 12887, 340, 1378, 344, 254, 1210, 438, 2028, 889, 279, 21639, 14652, 30, 39992, 11, 429, 21313, 94054, 11, 359, 317, 6616, 25, 276, 768, 340, 418, 548, 254, 9989, 19025, 26, 521, 254, 1555, 473, 36, 256, 75, 672, 36129, 580, 549, 21313, 355, 289, 247, 19666, 557, 994, 13285, 4251, 4520, 11119, 26, 994, 16950, 304, 3488, 245, 1585, 276, 2579, 254, 30774, 280, 254, 7636, 11, 304, 1378, 13, 304, 463, 8663, 276, 1019, 8387, 2507, 13, 9055, 395, 463, 47319, 769, 35743, 285, 769, 5633, 11, 4930, 769, 10420, 11, 35386, 769, 6164, 11, 410, 59295, 2302, 276, 1345, 279, 254, 27770, 280, 4302, 281, 41821, 349, 13, 1308, 344, 395, 2424, 254, 1728, 280, 10889, 11, 254, 1143, 280, 254, 1843, 13, 1003, 27580, 1585, 327, 856, 2762, 5897, 254, 26922, 280, 769, 3114, 13, 44855, 395, 463, 344, 2410, 280, 1069, 2012, 11, 548, 395, 418, 39427, 768, 11, 10333, 768, 889, 276, 3022, 11, 372, 245, 41458, 2385, 13, 1308, 1132, 254, 11688, 463, 1865, 1224, 3264, 450, 636, 280, 8387, 6171, 11, 285, 3667, 9200, 1090, 254, 5071, 13, 487, 207, 2901, 2054, 1023, 330, 7684, 11, 429, 21313, 94054, 5047, 11, 487, 993, 39369, 2520, 13, 207, 2901, 1988, 441, 889, 254, 1585, 1728, 280, 10889, 317, 1132, 60130, 11, 548, 254, 1728, 839, 280, 1462, 2012, 588, 340, 463, 24712, 254, 3502, 280, 16950, 13, 1257, 418, 441, 1673, 32758, 11, 1236, 565, 340, 1006, 768, 441, 13, 487, 207, 2901, 23014, 839, 304, 1023, 330, 9436, 11, 487, 993, 429, 21313, 94054, 13, 207, 2901, 1988, 3111, 254, 16531, 280, 4429, 2786, 614, 11, 975, 359, 441, 558, 1225, 344, 1266, 344, 438, 4770, 285, 7289, 2786, 1452, 327, 2647, 636, 280, 14901, 12, 25914, 30, 487, 207, 2901, 1385, 975, 11, 487, 993, 39369, 2520, 13, 207, 2901, 549, 11626, 280, 9501, 60100, 2977, 330, 22268, 46000, 11, 5068, 1401, 372, 565, 359, 661, 441, 803, 13, 1474, 276, 1108, 2507, 395, 418, 49983, 13, 100001, 4160, 450, 1132, 614, 331, 366, 254, 8398, 395, 463, 17070, 0, 487, 429, 2607, 4540, 937, 2302, 473, 254, 3870, 6182, 285, 473, 254, 4837, 285, 3061, 254, 4559, 5135, 254, 417, 6570, 13, 8427, 23280, 5496, 1085, 1240, 12, 8022, 326, 13, 429, 4281, 661, 845, 11, 2571, 359, 661, 38780, 4435, 254, 40806, 280, 254, 1843, 26, 548, 372, 657, 19354, 636, 473, 254, 13423, 280, 254, 17188, 285, 4133, 11348, 276, 254, 54731, 280, 50316, 261, 254, 9539, 438, 1592, 3074, 11, 285, 245, 15200, 2156, 438, 1090, 254, 17864, 16785, 13, 17514, 2481, 359, 745, 71046, 285, 24698, 1313, 3438, 12, 10794, 271, 12789, 13, 4754, 5079, 22241, 366, 70851, 29493, 11, 14108, 276, 704, 5393, 3264, 254, 16754, 13, 100001, 2901, 549, 1338, 81, 277, 12, 69, 31178, 463, 803, 10145, 786, 254, 8680, 12, 3280, 11, 487, 993, 427, 21313, 18923, 13, 100001, 5490, 19354, 1132, 430, 274, 3244, 16930, 285, 4426, 2373, 1224, 2065, 254, 39584, 786, 768, 13, 429, 4363, 12780, 13259, 11, 1132, 25405, 272, 5135, 254, 2201, 11, 285, 279, 895, 6159, 11041, 2156, 254, 40373, 11387, 12, 7632, 8728, 285, 7276, 837, 245, 5505, 14518, 5532, 13, 1955, 661, 59295, 327, 742, 2685, 3821, 473, 254, 41654, 280, 254, 16672, 754, 657, 12419, 3345, 276, 254, 417, 6570, 13, 9055, 45021, 7279, 35503, 1224, 276, 1066, 254, 8144, 7308, 279, 84215, 24675, 914, 1439, 1461, 69139, 79291, 13, 69132, 2065, 254, 5409, 657, 4101, 254, 76595, 280, 47951, 13, 9191, 14495, 778, 6751, 11, 38151, 254, 1313, 1743, 344, 661, 14844, 279, 8680, 279, 437, 1810, 13, 100001, 549, 4559, 57453, 1439, 12698, 44996, 12, 57726, 11, 62302, 895, 1143, 1184, 254, 79291, 276, 254, 8144, 487, 82, 5941, 11, 285, 581, 1310, 2065, 254, 3572, 2387, 13, 2960, 8080, 393, 248, 23771, 2815, 10243, 9215, 2730, 12, 36474, 306, 4177, 292, 6248, 1910, 11, 384, 359, 4759, 8387, 276, 768, 26, 327, 254, 417, 6570, 661, 2647, 803, 245, 1810, 2201, 280, 254, 19482, 285, 69503, 280, 2354, 2065, 18134, 26, 548, 1132, 657, 778, 13117, 13, 429, 17649, 280, 254, 5545, 778, 3308, 6989, 11, 245, 10922, 9974, 280, 82930, 285, 14518, 8151, 13, 100001, 2901, 1567, 317, 3261, 245, 51882, 1810, 11, 487, 993, 427, 21313, 18923, 13, 207, 2901, 2640, 36914, 643, 330, 54226, 254, 8144, 30, 8410, 4770, 2012, 10898, 8379, 643, 16298, 25, 643, 362, 77668, 254, 30684, 280, 2128, 255, 1653, 30, 487, 207, 2901, 3139, 359, 744, 1751, 11, 487, 993, 39369, 2520, 13, 100001, 2901, 60345, 0, 487, 993, 429, 21313, 94054, 13, 207, 2901, 27856, 395, 1452, 437, 1143, 11, 1066, 254, 1338, 81, 277, 12, 35743, 83472, 558, 1313, 1207, 433, 7260, 280, 254, 5231, 30, 487, 207, 2901, 1567, 317, 769, 1143, 11, 487, 993, 39369, 2520, 13, 207, 2901, 38, 10126, 625, 317, 254, 3467, 280, 520, 1743, 26, 548, 340, 2786, 1019, 344, 430, 2754, 254, 47951, 280, 254, 14499, 536, 441, 83472, 768, 13, 809, 317, 366, 704, 3997, 11, 254, 2489, 5508, 11, 344, 657, 2785, 704, 29688, 25, 1108, 6031, 317, 254, 19422, 280, 704, 2447, 13, 15512, 0, 487, 1955, 19354, 1224, 276, 254, 8144, 11, 285, 372, 657, 2373, 254, 47951, 23832, 704, 76595, 285, 1906, 5078, 2302, 13, 43489, 7276, 331, 768, 7123, 39369, 2520, 279, 254, 12780, 11, 285, 37134, 43745, 586, 7569, 25288, 837, 11041, 13, 429, 33819, 5079, 855, 276, 254, 317, 1162, 11, 285, 52813, 3545, 12835, 768, 65318, 326, 473, 254, 25851, 280, 254, 13716, 13, 100001, 2901, 9610, 0, 487, 993, 39369, 2520, 13, 207, 2901, 53633, 463, 8305, 10039, 1285, 13, 487, 1308, 657, 3505, 344, 279, 254, 19480, 280, 254, 2488, 302, 245, 58651, 438, 49709, 11, 7987, 271, 366, 18134, 11, 285, 845, 786, 366, 1313, 68487, 13, 100001, 2901, 4898, 9279, 521, 254, 10889, 280, 254, 5231, 344, 7276, 3345, 437, 1810, 11, 487, 993, 39369, 2520, 13, 100001, 2901, 4898, 1632, 768, 1610, 0, 487, 993, 427, 21313, 269, 1322, 13, 207, 2901, 2280, 754, 704, 68487, 463, 813, 56812, 285, 428, 12504, 11, 1234, 1592, 975, 704, 58651, 2039, 285, 6839, 254, 417, 6570, 280, 2128, 255, 0, 487, 207, 2901, 3110, 437, 520, 830, 839, 11, 39369, 2520, 11, 601, 2138, 30, 487, 993, 429, 21313, 94054, 13, 207, 2901, 2054, 18228, 1266, 279, 274, 6787, 285, 245, 2653, 0, 487, 207, 2901, 3220, 254, 1345, 280, 37134, 43745, 207, 891, 285, 3072, 11, 487, 993, 39369, 2520, 13, 207, 2901, 40, 19354, 4311, 285, 2367, 13, 1474, 1285, 13869, 254, 58651, 304, 543, 1481, 437, 327, 520, 5186, 25, 1313, 7276, 279, 254, 29244, 280, 254, 417, 6570, 11, 548, 17966, 853, 94675, 1401, 768, 13, 4600, 778, 22354, 853, 778, 38251, 26, 304, 15629, 2854, 521, 344, 304, 1027, 1275, 13, 4754, 1743, 304, 2143, 366, 70304, 15058, 280, 5653, 11788, 276, 6417, 12256, 4138, 20254, 13, 4754, 304, 845, 276, 1099, 437, 45448, 13, 1955, 463, 1132, 5496, 520, 76331, 11, 86933, 30428, 13, 304, 2143, 857, 366, 1313, 433, 7260, 276, 3763, 256, 281, 13, 10898, 8379, 304, 4437, 661, 69871, 586, 2201, 6313, 2481, 340, 11, 285, 586, 20595, 661, 4540, 12159, 473, 521, 750, 80776, 285, 5418, 276, 62220, 487, 82, 20593, 25, 254, 19369, 4759, 7137, 280, 14924, 26, 2618, 304, 26619, 344, 34488, 12, 3736, 408, 285, 571, 54127, 15170, 1667, 10502, 39786, 276, 3939, 319, 17667, 11, 1477, 359, 438, 65368, 2623, 13, 1474, 1132, 304, 1378, 340, 933, 441, 5663, 25, 340, 543, 1275, 520, 2558, 276, 9335, 520, 972, 13, 487, 3220, 344, 254, 2607, 993, 38152, 276, 254, 9859, 285, 254, 58651, 11, 285, 5079, 855, 254, 8144, 11, 285, 32545, 254, 3572, 6185, 13, 2928, 657, 19354, 331, 11, 7684, 276, 463, 2116, 254, 70851, 417, 6570, 13, 1733, 657, 2674, 254, 76595, 280, 254, 47951, 11564, 636, 59306, 13, 100001, 2960, 438, 274, 10641, 28558, 344, 7279, 1224, 473, 2128, 1227, 494, 276, 254, 64146, 13, 1494, 742, 1143, 359, 3061, 895, 2629, 13869, 254, 8144, 11, 34424, 366, 359, 12450, 285, 937, 8687, 26, 548, 430, 254, 1562, 359, 4540, 2302, 285, 2674, 6044, 5135, 254, 18318, 280, 2128, 1227, 494, 26, 285, 1069, 778, 1090, 254, 11072, 12, 2727, 279, 254, 11348, 280, 254, 17432, 11, 34550, 6593, 410, 691, 473, 895, 8602, 13, 1002, 4559, 657, 5496, 548, 657, 1216, 441, 10502, 2065, 359, 26, 327, 254, 3419, 13869, 359, 438, 6174, 285, 2258, 11, 7665, 327, 1313, 6593, 786, 366, 2577, 64127, 44996, 13, 1955, 19354, 1132, 691, 35503, 11, 285, 457, 23731, 254, 417, 6570, 778, 6128, 4047, 41519, 4435, 13, 2928, 657, 41639, 11, 15592, 704, 2653, 487, 82, 8398, 11, 327, 254, 5047, 438, 25761, 13, 1955, 778, 1865, 276, 254 ]
[ 100000, 279, 254, 5653, 280, 14901, 12, 25914, 13, 2928, 362, 15188, 586, 5724, 331, 254, 3419, 11, 285, 2659, 1224, 279, 12114, 13, 100001, 3567, 344, 2780, 473, 2367, 842, 254, 5409, 20010, 276, 704, 12734, 14501, 254, 76595, 280, 47951, 13, 9614, 254, 40364, 3805, 279, 5663, 11, 285, 7421, 27376, 276, 586, 2387, 285, 22112, 26380, 276, 857, 13, 100001, 2901, 4453, 441, 1632, 857, 1409, 2302, 0, 487, 993, 15364, 283, 348, 13, 207, 2901, 1385, 3354, 344, 395, 2786, 933, 857, 1592, 11, 565, 254, 47951, 536, 441, 1275, 450, 13, 1724, 304, 12772, 437, 34637, 7434, 0, 487, 1063, 67958, 285, 20288, 581, 245, 2317, 8665, 362, 4733, 359, 2367, 881, 254, 4426, 2354, 13, 100001, 549, 8665, 35638, 366, 245, 2838, 57554, 26, 548, 430, 254, 1246, 7315, 745, 438, 245, 1971, 844, 285, 245, 26113, 13, 6982, 16164, 6513, 19352, 9163, 331, 254, 5438, 636, 5897, 1066, 254, 8665, 661, 14844, 11, 285, 657, 6937, 9405, 5135, 254, 4414, 280, 254, 34483, 13, 16535, 4435, 254, 11394, 11, 548, 280, 1874, 1979, 13, 304, 608, 10297, 280, 254, 7434, 13, 100001, 7390, 487, 83, 17969, 359, 0, 487, 207, 2901, 40, 4796, 395, 1027, 752, 2302, 0, 487, 993, 50762, 13, 100001, 2901, 6568, 2845, 487, 83, 39369, 2520, 536, 1874, 3399, 30, 487, 993, 375, 12082, 246, 13, 100001, 38, 384, 2520, 3061, 642, 6473, 280, 768, 13, 1063, 2659, 366, 586, 1917, 31788, 11, 2818, 279, 22553, 410, 279, 17177, 2215, 13, 429, 70851, 76595, 280, 254, 47951, 438, 4101, 1310, 13, 429, 16164, 2589, 331, 254, 2354, 10318, 285, 2373, 11765, 26, 742, 778, 2571, 284, 5540, 331, 254, 14450, 13, 100001, 3220, 245, 6363, 1465, 344, 37728, 768, 521, 254, 43424, 27376, 276, 586, 5144, 13, 1063, 438, 19640, 0, 207, 2901, 40, 463, 359, 0, 487, 362, 7899, 13, 207, 2901, 4112, 2629, 11, 280, 2629, 0, 25235, 15087, 326, 2976, 11, 837, 1094, 80001, 878, 754, 340, 1019, 254, 3510, 13, 487, 375, 20594, 581, 586, 5724, 362, 6626, 1323, 254, 6796, 285, 993, 279, 245, 3662, 5136, 25, 50929, 249, 0, 429, 5395, 34597, 636, 20358, 285, 37583, 1310, 13, 2928, 34033, 245, 1228, 39385, 438, 28526, 11, 2451, 441, 245, 14788, 410, 9593, 661, 803, 9200, 1323, 13, 80809, 359, 13429, 279, 254, 6516, 285, 39655, 636, 2849, 15174, 457, 15174, 11, 2645, 1572, 11394, 2762, 1062, 2481, 254, 4239, 13, 13873, 254, 7783, 245, 67029, 24221, 1027, 330, 2826, 26802, 19547, 326, 581, 26, 548, 5897, 254, 3927, 5610, 254, 16342, 438, 16244, 853, 254, 2653, 13, 429, 7947, 30298, 279, 3860, 13, 100001, 2901, 40, 438, 4360, 1166, 521, 11, 487, 993, 39369, 2520, 11, 207, 2901, 384, 65771, 807, 1653, 13, 50762, 11, 280, 521, 1245, 11, 438, 331, 254, 1329, 4184, 13, 429, 7783, 1734, 438, 71705, 331, 254, 3949, 1411, 521, 254, 766, 0, 429, 13858, 1023, 463, 803, 25, 20143, 207, 2901, 2901, 29758, 56988, 285, 5223, 13, 304, 661, 889, 276, 3753, 254, 1473, 85, 844, 1734, 327, 2138, 285, 254, 11394, 6899, 13, 47836, 2976, 13, 26322, 2976, 327, 245, 7213, 63618, 12, 5738, 279, 1069, 29286, 2507, 13, 12131, 778, 32740, 2602, 13, 4201, 1632, 450, 614, 0, 487, 1063, 75809, 4312, 285, 845, 586, 4414, 331, 254, 13740, 3458, 13, 1474, 430, 344, 2780, 2971, 2012, 6628, 13, 21675, 2860, 4749, 1874, 39302, 857, 457, 254, 39297, 11, 285, 362, 7276, 366, 245, 5778, 13, 9614, 254, 40364, 4366, 245, 6763, 5345, 280, 5663, 11, 285, 4540, 9960, 285, 18238, 2302, 2726, 254, 32247, 546, 881, 254, 16342, 13, 7421, 44893, 1166, 857, 11, 285, 937, 10921, 21675, 2860, 487, 82, 5778, 362, 7279, 1062, 1310, 11, 43646, 285, 94740, 13, 429, 3072, 39655, 4078, 285, 3505, 254, 14585, 280, 254, 14940, 386, 1739, 11, 372, 565, 245, 3697, 280, 56013, 778, 18884, 581, 473, 254, 18034, 1225, 13, 100001, 5069, 473, 254, 2354, 245, 1234, 252, 96656, 17727, 6471, 661, 68759, 26, 359, 438, 14211, 12, 12361, 285, 49808, 285, 12969, 13, 9904, 42910, 1883, 1225, 661, 2785, 280, 21675, 2860, 487, 82, 4414, 11, 285, 438, 37331, 857, 881, 254, 2354, 13, 7421, 331, 586, 20661, 438, 1132, 1906, 5693, 430, 359, 366, 245, 19340, 13, 100001, 549, 5868, 1632, 614, 280, 21675, 2860, 11, 285, 7421, 13258, 857, 2302, 11, 24302, 636, 327, 1345, 13, 43928, 750, 7921, 2373, 16164, 6513, 636, 13, 429, 4426, 2354, 1888, 13, 433, 24777, 768, 473, 254, 20040, 344, 4759, 276, 463, 36562, 521, 548, 7421, 276, 254, 3419, 1066, 657, 6626, 11, 362, 17354, 768, 4312, 13, 100001, 5490, 778, 953, 279, 766, 13, 7421, 285, 21675, 2860, 778, 889, 245, 1860, 5610, 581, 11, 285, 39369, 2520, 661, 953, 17070, 276, 23170, 11, 754, 254, 75400, 272, 17727, 13769, 2821, 874, 3246, 254, 9745, 14450, 285, 42910, 1883, 254, 34483, 12, 11449, 285, 254, 11394, 13, 3474, 2373, 1661, 28689, 2237, 855, 254, 12100, 11, 91660, 279, 254, 5395, 12, 2156, 13, 39369, 2520, 4540, 285, 24882, 13, 1273, 362, 438, 9605, 856, 1734, 744, 3415, 254, 8364, 1310, 473, 2383, 11, 745, 438, 642, 933, 13, 8410, 980, 5969, 7921, 20760, 254, 11394, 331, 2818, 2387, 11, 285, 366, 22319, 6313, 11, 39655, 768, 4078, 13, 2991, 245, 467, 12568, 6393, 657, 78253, 11, 285, 521, 2156, 438, 4739, 13, 338, 6565, 280, 5961, 272, 285, 43147, 2373, 263, 25871, 1184, 254, 39669, 625, 8665, 13, 100001, 22407, 11, 58572, 276, 21675, 2860, 487, 82, 5868, 11, 43340, 331, 245, 3458, 279, 254, 3438, 16342, 13, 207, 2901, 36859, 1712, 9614, 0, 487, 362, 993, 279, 245, 75231, 5136, 13, 207, 2901, 36859, 1712, 9614, 0, 87737, 285, 56013, 0, 1474, 254, 56013, 778, 1653, 1266, 327, 857, 13, 304, 661, 276, 4352, 11, 2195, 13, 21675, 2860, 13, 304, 661, 276, 1865, 366, 340, 13, 487, 1955, 4101, 39369, 2520, 614, 1062, 1224, 254, 5610, 285, 23773, 586, 5724, 2481, 254, 11394, 13, 2071, 438, 245, 36887, 279, 254, 8665, 285, 254, 20706, 46416, 11, 548, 254, 11394, 1216, 441, 1721, 13, 100001, 2901, 6636, 11, 1136, 0, 487, 993, 254, 43424, 13, 207, 2901, 549, 13108, 317, 19283, 4435, 450, 1132, 11, 285, 745, 317, 889, 634, 1143, 636, 207, 891, 331, 254, 750, 2387, 280, 254, 273, 4191, 12, 244, 2208, 13, 304, 5663, 473, 254, 7642, 344, 90474, 463, 803, 49709, 581, 11, 285, 254, 7636, 63308, 6148, 285, 13188, 3246, 254, 8364, 13, 304, 608, 11547, 26, 327, 254, 7636, 778, 4171, 11, 285, 661, 6626, 558, 1234, 13, 487, 207, 2901, 40, 4749, 344, 1874, 22319, 438, 3345, 473, 254, 2780, 344, 601, 4414, 1022, 17282, 254, 2354, 11, 487, 993, 21675, 2860, 13, 207, 2901, 2640, 438, 254, 2421, 11, 410, 778, 745, 1313, 280, 768, 30, 487, 207, 2901, 40, 536, 441, 1006, 11, 487, 7589, 39369, 2520, 26, 207, 2901, 2381, 254, 7921, 778, 521, 24732, 457, 634, 5487, 13, 22494, 643, 39262, 11, 410, 643, 803, 11516, 636, 280, 4426, 14585, 1090, 254, 14499, 13, 2071, 418, 8097, 285, 3941, 2580, 2012, 853, 2489, 5508, 279, 254, 4399, 6171, 280, 254, 1843, 13, 487, 1063, 1216, 441, 3753, 30294, 586, 2215, 344, 6851, 359, 438, 344, 48066, 279, 254, 14940, 11, 359, 661, 20760, 331, 21675, 2860, 1022, 3264, 521, 254, 7947, 13, 100001, 59540, 283, 348, 35351, 1090, 586, 9004, 11, 548, 254, 91878, 8665, 7332, 72, 12, 267, 1052, 254, 3066, 276, 245, 70308, 28174, 344, 521, 1027, 4704, 25, 207, 2901, 774, 254, 4399, 6171, 280, 254, 1843, 0, 1308, 44081, 395, 418, 1872, 2481, 601, 4796, 13, 8886, 543, 2023, 450, 1132, 279, 437, 27661, 4426, 30, 487, 207, 2901, 40, 543, 11, 487, 993, 39369, 2520, 11, 207, 2901, 384, 65771, 807, 2786, 3667, 366, 525, 13, 23028, 601, 5724, 2081, 487, 20205, 48908, 20808, 23489, 2420, 2392, 394, 672, 11281, 19308, 11, 247, 17058, 5116, 37300, 384, 26975, 26, 285, 430, 254, 1869, 657, 1503, 274, 77445, 13108, 366, 245, 2258, 6597, 5881, 331, 881, 254, 4426, 13, 100001, 2901, 4160, 450, 2097, 285, 1610, 285, 463, 1874, 276, 6540, 11, 1285, 331, 254, 20918, 11, 1962, 395, 481, 487, 83, 1275, 245, 12713, 12, 3179, 0, 487, 993, 21675, 2860, 13, 1063, 661, 17070, 276, 22689, 842, 254, 11845, 280, 254, 41390, 272, 5868, 11, 285, 8963, 362, 4749, 7999, 21416, 13, 100001, 549, 15604, 438, 28652, 457, 521, 26, 285, 657, 2659, 1224, 331, 254, 6909, 5610, 11, 4165, 10742, 279, 254, 22569, 13, 4128, 657, 661, 25000, 11, 39369, 2520, 4366, 768, 1319, 245, 4443, 59513, 280, 254, 7552, 12592, 256, 280, 36554, 409, 488, 13, 100001, 2901, 1385, 543, 441, 1562, 1266, 4172, 11, 304, 608, 10297, 11, 487, 362, 993, 26, 207, 2901, 2381, 304, 1378, 395, 933, 359, 1166, 344, 20040, 430, 254, 8364, 13, 1308, 6838, 395, 463, 1228, 7767, 11, 395, 2786, 933, 521, 344, 317, 2116, 1323, 395, 1019, 254, 750, 2387, 0, 3659, 10654, 366, 254, 2354, 11, 1653, 0, 2071, 418, 1313, 21410, 285, 45176, 279, 254, 78096, 11, 548, 657, 1023, 441, 330, 17282, 13, 1003, 975, 441, 463, 245, 5518, 280, 16912, 769, 40710, 285, 25209, 6309, 395, 1865, 1224, 881, 16865, 48687, 35187, 13, 487, 207, 2901, 2819, 1234, 317, 344, 1872, 276, 1529, 450, 30, 487, 3637, 21675, 2860, 13, 100001, 2901, 40, 2977, 1481, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 1385, 7273, 331, 1313, 16609, 13, 1474, 1872, 6044, 11, 1673, 62169, 373, 410, 13916, 769, 1143, 11, 395, 2786, 1529, 1853, 410, 2685, 82305, 11, 304, 2162, 13, 809, 2977, 330, 2246, 853, 17205, 6593, 473, 5653, 12, 4167, 276, 7952, 12, 10771, 279, 245, 1713, 1353, 11, 285, 254, 4559, 975, 5409, 1266, 13, 487, 4128, 889, 245, 8749, 1610, 657, 3805, 331, 704, 1143, 1310, 13, 2428, 778, 14160, 276, 752, 254, 8398, 855, 372, 5397, 372, 2198, 11, 285, 778, 9807, 11, 13400, 372, 657, 778, 11, 276, 614, 331, 44352, 1592, 327, 2971, 3821, 13, 39369, 2520, 10408, 279, 3865, 372, 1323, 13, 685, 586, 2116, 1297, 362, 4586, 581, 586, 70673, 272, 5724, 11, 254, 2156, 280, 588, 953, 7363, 254, 3419, 1323, 586, 5144, 26, 279, 586, 1329, 362, 4586, 586, 16356, 4771, 10927, 1088, 13, 43568, 857, 2373, 65771, 807, 11, 586, 3545, 1656, 572, 272, 279, 254, 4165, 2156, 372, 362, 4540, 586, 1917, 473, 2387, 276, 2387, 13, 100001, 69313, 254, 33466, 10408, 21675, 2860, 11, 285, 362, 661, 10237, 254, 2577, 16356, 11, 900, 272, 13, 2366, 53353, 2373, 473, 254, 42338, 280, 900, 272, 410, 280, 4771, 10927, 1088, 26, 285, 344, 438, 742, 5186, 11, 327, 1435, 254, 830, 280, 1473, 85, 844, 62581, 82, 279, 254, 45316, 25452, 1069, 44914, 34597, 366, 245, 6159, 2156, 11, 565, 688, 2489, 5508, 778, 3345, 430, 1297, 13, 43568, 21675, 2860, 2674, 7421, 11, 285, 1166, 857, 8427, 23280, 11, 285, 254, 2823, 38501, 11834, 11, 285, 15364, 283, 348, 13, 685, 254, 4426, 430, 254, 13623, 11, 28034, 285, 13117, 11, 10408, 52334, 1752, 13, 100001, 549, 13108, 25852, 4078, 245, 1860, 9236, 11, 285, 937, 4732, 276, 17331, 13, 100001, 1385, 2674, 28150, 1224, 327, 245, 1234, 1477, 1323, 359, 5322, 2258, 2561, 1310, 13, 429, 3207, 10318, 3550, 285, 67507, 2237, 11, 548, 359, 438, 441, 34637, 11, 285, 430, 2602, 657, 4749, 20408, 280, 32573, 3207, 2065, 704, 12472, 11, 42895, 473, 3222, 12, 3441, 24011, 45657, 279, 254, 9906, 13, 2071, 778, 1313, 280, 1069, 13, 685, 254, 14211, 25243, 280, 254, 43424, 487, 82, 5724, 11, 21675, 2860, 9317, 79080, 280, 20706, 285, 56142, 11, 285, 280, 750, 31273, 285, 64156, 11, 74676, 581, 11, 410, 3268, 38, 309, 807, 48779, 39369, 2520, 1079, 1585, 11, 5085, 457, 586, 33976, 15035, 13, 2803, 2754, 362, 438, 441, 11, 372, 778, 1094, 280, 254, 3072, 11, 27484, 457, 254, 12596, 16342, 279, 3964, 13, 28862, 254, 43424, 42985, 857, 430, 3487, 1066, 254, 4858, 280, 1143, 438, 37324, 26, 548, 359, 438, 1958, 39369, 2520, 779, 661, 254, 2328, 1734, 13, 429, 78096, 280, 364, 6045, 778, 10999, 285, 44215, 5897, 254, 18540, 280, 65771, 807, 11, 452, 789, 21313 ]
[ 100000, 19369, 5897, 11, 285, 937, 657, 4540, 8687, 2849, 11, 285, 5079, 855, 254, 26922, 280, 15612, 1569, 13, 429, 15612, 75, 409, 791, 24517, 285, 17508, 4449, 11, 327, 657, 778, 10297, 280, 1473, 85, 844, 22503, 11, 2451, 1860, 6031, 2647, 2373, 276, 704, 3085, 26, 548, 254, 38372, 1216, 441, 35871, 768, 11, 327, 657, 778, 1592, 245, 1228, 2607, 285, 778, 1136, 4286, 366, 521, 344, 657, 4067, 26, 285, 657, 2674, 331, 704, 1143, 430, 704, 24084, 11, 5007, 581, 704, 40384, 754, 657, 744, 13, 100001, 2921, 254, 22276, 393, 2507, 1305, 704, 1629, 272, 473, 254, 24288, 657, 61774, 271, 11844, 881, 254, 1721, 3085, 430, 84226, 709, 657, 98252, 274, 1712, 668, 31033, 331, 245, 5724, 11, 285, 362, 438, 51914, 279, 65395, 280, 14518, 410, 19969, 3682, 11, 285, 430, 586, 28423, 2674, 1913, 63288, 11, 1906, 3909, 272, 285, 92174, 13, 100001, 2901, 6636, 10898, 8379, 0, 487, 993, 39369, 2520, 13, 207, 2901, 9595, 418, 340, 1872, 30, 487, 207, 2901, 2640, 317, 344, 276, 340, 30, 487, 362, 7589, 13, 207, 2901, 10783, 340, 1592, 1835, 601, 614, 791, 11, 285, 418, 340, 441, 3093, 366, 601, 22204, 30, 487, 207, 2901, 2054, 1006, 254, 9789, 11, 487, 993, 39369, 2520, 25, 207, 2901, 2470, 285, 642, 13, 1474, 279, 688, 1460, 254, 766, 280, 601, 66102, 1132, 24259, 276, 274, 1225, 13, 429, 5047, 643, 3443, 331, 254, 18953, 13, 1273, 340, 661, 17493, 430, 35100, 863, 11, 340, 744, 463, 2826, 857, 11, 285, 362, 744, 463, 3707, 340, 16533, 285, 21950, 13, 487, 207, 2901, 4631, 521, 254, 691, 2806, 276, 463, 2116, 19026, 11, 487, 993, 10898, 8379, 26, 207, 2901, 1467, 304, 8836, 8533, 280, 857, 13, 13788, 565, 340, 4796, 327, 274, 3510, 276, 520, 1022, 2512, 11, 304, 608, 12489, 245, 1143, 636, 280, 586, 26210, 13, 487, 207, 2901, 4631, 2561, 691, 340, 418, 1872, 254, 4360, 1143, 11, 487, 993, 39369, 2520, 11, 207, 2901, 384, 304, 1019, 642, 3655, 279, 520, 8398, 13, 1474, 543, 340, 31594, 769, 1345, 30, 1494, 395, 3685, 359, 276, 340, 13, 487, 207, 2901, 1898, 525, 30, 487, 993, 10898, 8379, 13, 207, 2901, 38157, 11, 7044, 536, 441, 9973, 430, 525, 0, 304, 6050, 520, 58904, 82, 13, 1308, 372, 327, 254, 10850, 1285, 11, 304, 536, 441, 5442, 711, 25, 838, 1958, 29738, 525, 11, 285, 3959, 2026, 327, 520, 697, 13, 304, 536, 441, 5914, 344, 838, 643, 4832, 340, 437, 1143, 276, 463, 254, 9910, 280, 307, 789, 1130, 855, 601, 20388, 13, 100001, 31773, 304, 803, 24761, 280, 520, 25595, 11, 304, 744, 463, 15724, 340, 254, 9910, 13, 487, 207, 2901, 35440, 8379, 11, 487, 993, 7646, 308, 20856, 11, 207, 2901, 832, 463, 750, 80776, 285, 750, 24501, 344, 1751, 276, 450, 691, 31958, 853, 19386, 327, 340, 13, 20143, 3272, 344, 340, 418, 86359, 457, 1207, 16531, 26, 327, 1132, 340, 463, 245, 1562, 5518, 13, 487, 207, 2901, 1847, 359, 330, 8099, 254, 1562, 11, 304, 608, 7684, 11, 487, 993, 10898, 8379, 26, 207, 2901, 1467, 304, 2786, 330, 43718, 254, 8168, 280, 43089, 359, 1310, 13, 2428, 601, 14388, 418, 32494, 11, 548, 304, 744, 441, 4127, 12726, 13, 1273, 340, 463, 688, 13, 487, 1494, 245, 2780, 586, 3545, 78293, 13, 207, 2901, 7350, 0, 487, 362, 993, 13, 207, 2901, 40, 1216, 441, 7594, 1234, 3437, 331, 1069, 10146, 327, 66003, 13, 1257, 463, 49983, 39872, 11, 285, 340, 1006, 359, 13, 1308, 359, 543, 8296, 525, 742, 5186, 372, 304, 34730, 276, 1378, 344, 340, 13258, 1224, 520, 1377, 2558, 754, 340, 16298, 7207, 13, 1308, 1132, 11, 856, 5225, 543, 8982, 340, 1062, 3246, 558, 5505, 245, 5532, 30, 487, 362, 76124, 13, 207, 2901, 1385, 543, 330, 245, 14518, 5225, 11, 285, 2201, 280, 46049, 13, 487, 1063, 14032, 11, 548, 586, 5136, 438, 40095, 285, 49255, 13, 100001, 2901, 3118, 581, 11, 340, 47672, 0, 487, 362, 25455, 276, 254, 750, 63288, 11, 779, 661, 2659, 1224, 331, 254, 3419, 26, 285, 362, 11921, 857, 366, 586, 5724, 13, 207, 2901, 24422, 786, 0, 1273, 1069, 4035, 22503, 418, 1872, 769, 1143, 11, 937, 395, 543, 1529, 1913, 13, 4488, 331, 11, 410, 304, 487, 647, 2102, 340, 642, 28075, 327, 520, 23374, 0, 487, 429, 63288, 4540, 285, 1906, 34607, 2882, 376, 45755, 272, 25, 207, 2901, 36859, 1712, 2414, 21313, 18700, 736, 0, 30302, 1712, 2414, 21313, 18700, 736, 0, 22424, 26354, 285, 52040, 13, 1724, 304, 12772, 857, 0, 304, 4796, 304, 1027, 4283, 857, 0, 487, 56273, 430, 39369, 2520, 11, 285, 937, 58088, 1215, 5397, 2882, 4435, 10898, 8379, 13, 100001, 2124, 254, 31130, 5696, 5079, 457, 254, 2607, 657, 2373, 276, 254, 38501, 11834, 11, 285, 10898, 8379, 8583, 285, 30298, 430, 768, 26, 548, 657, 4133, 430, 857, 366, 20615, 13, 100001, 2901, 3139, 340, 463, 1865, 276, 307, 58296, 1653, 11, 463, 340, 11, 601, 207, 3617, 1233, 30, 487, 362, 993, 13, 100001, 2901, 2054, 1113, 487, 83, 2062, 856, 245, 63288, 37259, 11, 536, 340, 30, 1494, 340, 463, 521, 340, 1121, 11, 3427, 285, 4035, 11445, 11, 285, 254, 1608, 41775, 327, 520, 28761, 13, 7148, 5348, 11, 304, 1006, 0, 304, 1006, 1066, 359, 3450, 473, 13, 1257, 744, 441, 2102, 245, 14892, 1086, 276, 245, 63288, 11, 744, 340, 30, 487, 207, 2901, 40, 744, 11, 565, 304, 661, 688, 11, 487, 993, 21675, 2860, 13, 100001, 2901, 2054, 481, 463, 856, 304, 463, 2149, 2116, 11, 487, 993, 50762, 11, 207, 2901, 351, 340, 543, 3825, 245, 2780, 13, 487, 1063, 2149, 1224, 285, 21354, 279, 254, 8870, 430, 586, 25449, 13, 2928, 362, 20475, 276, 10898, 8379, 245, 14648, 62573, 13, 207, 2901, 15004, 856, 745, 317, 11, 487, 362, 993, 13, 100001, 2901, 2054, 418, 9335, 276, 359, 26, 359, 2373, 473, 254, 1278, 1466, 303, 280, 2128, 1227, 494, 13, 487, 207, 2901, 63306, 11, 7207, 11, 5348, 285, 54755, 8939, 0, 487, 7899, 10898, 8379, 11, 41390, 272, 430, 254, 62573, 13, 207, 2901, 1567, 317, 889, 245, 68080, 279, 10728, 26, 327, 340, 3061, 691, 11, 304, 487, 647, 330, 3080, 13, 14070, 11, 245, 63288, 1534, 330, 16770, 11, 565, 245, 39925, 7578, 857, 1236, 245, 76740, 282, 280, 586, 1377, 13, 7384, 11, 359, 543, 5043, 340, 1329, 754, 340, 1865, 1719, 11, 565, 340, 1275, 2012, 2246, 1207, 279, 254, 5178, 18529, 1792, 853, 340, 744, 837, 13, 9055, 975, 520, 3114, 330, 2577, 280, 14568, 2081, 487, 207, 2901, 9101, 340, 0, 487, 993, 50762, 13, 207, 2901, 774, 344, 1460, 304, 543, 463, 601, 62573, 1062, 11, 588, 317, 441, 12726, 285, 643, 8398, 271, 2367, 366, 525, 13, 42374, 254, 41775, 279, 245, 48030, 280, 520, 1377, 13, 487, 207, 2901, 4711, 39925, 28591, 1913, 11, 487, 993, 10898, 8379, 11, 285, 4540, 586, 1062, 331, 50762, 11, 285, 31947, 69447, 86225, 11, 285, 2674, 2302, 5135, 254, 4837, 13, 100001, 2901, 6636, 11, 304, 837, 344, 0, 487, 993, 375, 12082, 246, 13, 207, 2901, 1081, 3334, 6031, 0, 2461, 280, 769, 4351, 327, 1143, 94119, 11, 259, 18610, 11, 285, 410, 66, 12, 34233, 4163, 450, 1184, 50316, 261, 30, 487, 207, 2901, 12817, 0, 487, 993, 7421, 13, 207, 2901, 2280, 8939, 362, 993, 13, 1724, 11, 304, 3860, 30, 1308, 304, 3320, 487, 83, 837, 254, 3066, 280, 856, 362, 993, 786, 254, 5178, 18529, 1792, 13, 809, 487, 82, 766, 395, 2149, 1062, 13, 487, 207, 2901, 40, 487, 76, 2049, 359, 317, 11, 487, 993, 21675, 2860, 13, 207, 2901, 2395, 395, 481, 487, 83, 614, 688, 31557, 11, 565, 395, 418, 276, 1019, 33388, 957, 13, 304, 608, 1872, 276, 36554, 409, 488, 1022, 11, 6851, 7069, 13, 487, 207, 2901, 5661, 11, 304, 1378, 340, 661, 2018, 536, 344, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2395, 42157, 327, 10898, 8379, 0, 304, 5663, 3011, 691, 481, 330, 1401, 280, 857, 13, 1063, 643, 76323, 16369, 13, 2428, 254, 1246, 11, 304, 608, 441, 2049, 344, 18340, 88273, 317, 1329, 25, 304, 14652, 362, 1027, 536, 742, 39869, 1592, 279, 245, 1760, 2059, 1143, 13, 487, 12006, 1492, 657, 2674, 331, 881, 18073, 15612, 1569, 11, 1066, 642, 1743, 1132, 48066, 11, 2451, 359, 438, 245, 5575, 285, 11854, 3085, 13, 7564, 2373, 279, 366, 14544, 2507, 285, 11041, 16919, 11, 285, 657, 19354, 430, 11535, 2645, 657, 6889, 254, 43226, 71812, 8144, 11, 285, 1503, 254, 1712, 64789, 11, 12450, 280, 254, 12795, 2004, 1535, 260, 22353, 3521, 47381, 572, 17116, 776, 7632, 13, 37, 432, 17116, 12211, 3139, 657, 5079, 881, 427, 15392, 11, 285, 430, 1562, 245, 4770, 4421, 80320, 11, 63722, 272, 2330, 64195, 95027, 26, 285, 2709, 473, 704, 3182, 331, 245, 2495, 12967, 254, 38372, 3505, 2302, 279, 254, 12450, 254, 5071, 28160, 1853, 24079, 344, 23773, 581, 881, 254, 9539, 1184, 17864, 16785, 25, 2872, 53813, 7846, 11, 76115, 13846, 296, 11, 285, 28134, 6875, 5086, 13, 1955, 778, 3345, 276, 254, 42166, 280, 364, 6045, 13, 100001, 4898, 1132, 327, 7960, 2507, 657, 16687, 1766, 11, 327, 254, 766, 438, 430, 1297, 327, 1913, 44749, 588, 657, 778, 284, 1034, 276, 1099, 13, 30876, 76115, 13176, 285, 7646, 308, 20856, 285, 704, 22503, 744, 1947, 67089, 11, 285, 558, 1452, 457, 254, 5773, 34321, 22425, 285, 1224, 254, 16865, 48687, 14969, 348, 276, 254, 17535, 75, 738, 285, 276, 704, 1377, 3085, 13, 1955, 661, 8398, 271, 4117, 2367, 457, 254, 11348, 12, 1693, 11, 327, 657, 661, 1266, 276, 3753, 280, 366, 1473, 81, 1089, 285, 366, 39369, 2520, 11, 285, 1285, 657, 63807, 1592, 279, 43984, 366, 704, 3997, 13, 28862, 1234, 1166, 254, 38501, 11834, 778, 19878, 279, 5476, 657, 744, 2097, 2854, 1090, 254, 7524, 11, 54447, 254, 13205, 344, 778, 5418, 285, 521, 704, 48987, 285, 66102, 279, 254, 1843, 11, 410, 9523, 16977, 11, 13159, 254, 2507, 276, 1865, 13, 1273, 688, 18012, 12164, 661, 65507, 276, 1452, 11, 1585, 744, 362, 463, 2826, 410, 4101, 11, 285, 359, 744, 463, 4759, 276, 857, 889, 344, 362, 3505, 14518, 10742, 11, 35352, 279, 8665, 11, 1638, 23871, 280, 15503, 2012, 1132, 4739, 279, 405, 388, 425, 1215, 19369, 13, 100001, 1988, 657, 1216, 441, 2938, 410, 3753, 366, 8602, 11, 2709, 473, 2764, 276, 2764, 26, 285, 889, 704, 25288, 3545, 38087, 285, 78293, 372, 704, 8052, 2674, 276, 285, 9963, 13, 100001, 2395, 430, 3973, 521, 438, 993, 11, 285, 657, 33651, 1310, 327, 245, 1477, 11, 2645, 359, 438, 766, 327, 254, 14863, 61617, 276, 1452, 2302, 13, 85656, 44582, 881, 254, 18134, 285, 254, 25851, 254, 14518, 12, 43078, 8910, 1245, 280, 7980, 21313, 19646, 19354, 5135, 254, 14499, 26, 285, 1462, 779, 778, 1872, 276, 36554, 409, 488, 2659, 331, 254, 12967, 285, 12835, 11, 2645, 745, 2373, 636, 280, 254, 20190, 6389, 245, 11018, 26, 285, 937, 657, 3505, 642, 691, 13, 21675, 2860, 4437, 344, 7646, 308, 20856, 661, 4586, 63532, 711, 7987, 279, 10728, 280, 38152, 13, 100001, 22407, 4540, 2302, 285, 34456, 25, 207, 2901, 40, 4796, 304, 438, 1872, 1062, 276, 7980, 21313, 4397, 255, 0, 487, 2803, 1562, 634, 6787, 657, 2373, 855, 254, 1461, 8065, 715, 11, 8963, 372, 276, 38372, 359, 1958, 4759, 11, 276, 254, 63330, 280, 254, 4399, 17432, 280, 36554, 409, 488, 285, 3505, 2367, 2877, 254, 30842, 25288, 279, 1473, 81, 1089, 487, 82, 2558, 13, 100001, 2280, 657, 2674, 1224, 285, 17033, 254, 10175, 285, 2373, 276, 254, 11394, 11, 285, 521, 254, 2558, 438, 8148, 366, 2156, 285, 5654, 327, 8810, 430, 1473, 81, 1089, 487, 82, 1719, 7015, 13, 100001, 6306, 280, 521, 11, 1323, 657, 661, 25000, 410, 26829, 410, 1236, 20123, 704, 25985, 8667, 11, 254, 38501, 11834, 2674, 279, 3365, 280, 33388, 957, 13, 1955, 1503, 857, 521, 5254, 279, 586, 1585, 2563, 13, 809, 438, 11769, 5660, 366, 10142, 285, 15517, 285, 72643, 26, 548, 33388, 957, 438, 9368, 279, 245, 8653, 1323, 245, 1760, 6464, 4043, 13, 1063, 4133, 1079, 1712, 11, 548, 24177, 11, 285, 53730, 13, 100001, 2450 ]
[ 100000, 1492, 9765, 26, 285, 754, 254, 5071, 438, 5418, 285, 254, 4078, 20992, 19354, 9405, 2330, 254, 95027, 280, 1308, 63454, 285, 267, 811, 69133, 1184, 254, 85010, 8242, 11, 21675, 2860, 285, 7421, 2659, 1090, 254, 67622, 7636, 18872, 254, 41767, 280, 4770, 94921, 296, 2008, 26, 285, 657, 13364, 4399, 881, 254, 2653, 366, 50762, 285, 375, 12082, 246, 285, 39369, 2520, 11, 285, 1166, 245, 1477, 8427, 23280, 285, 65771, 807, 10213, 768, 13, 2071, 21675, 2860, 285, 7421, 7213, 1266, 280, 521, 344, 661, 6628, 276, 254, 7947, 1166, 704, 40799, 438, 7488, 331, 254, 11626, 1492, 430, 3126, 393, 7646, 255, 457, 433, 1774, 4177, 28285, 26, 285, 1592, 745, 438, 1958, 691, 276, 2088, 285, 691, 276, 2410, 13, 100001, 46, 2619, 82, 11, 285, 6807, 7636, 11, 285, 41519, 280, 11387, 11, 285, 99301, 33819, 11, 285, 52813, 52441, 11, 285, 3682, 33549, 285, 14544, 44397, 11, 285, 29244, 11, 285, 8670, 15007, 30382, 11, 521, 1069, 5079, 1323, 7421, 487, 82, 2764, 2645, 362, 4749, 58312, 13, 1474, 41270, 521, 1069, 32260, 362, 5651, 1958, 276, 586, 37156, 430, 254, 2408, 280, 50762, 285, 375, 12082, 246, 26, 285, 362, 1401, 768, 2039, 1062, 276, 1062, 366, 21675, 2860, 285, 3177, 13, 1063, 64629, 586, 1917, 13, 2901, 4026, 340, 6062, 418, 441, 11, 487, 993, 65771, 807, 13, 207, 2901, 2395, 856, 1216, 304, 1481, 30, 19302, 914, 2977, 614, 16306, 990, 12, 23320, 4787, 82, 285, 2162, 642, 691, 276, 1865, 280, 768, 853, 280, 245, 2344, 280, 15720, 13, 487, 207, 2901, 4757, 12, 23320, 4787, 82, 30, 487, 993, 7421, 13, 207, 2901, 2960, 340, 614, 786, 7901, 82, 1310, 26, 548, 856, 657, 418, 34950, 525, 13, 5903, 11, 359, 543, 1529, 5752, 1323, 395, 752, 521, 1069, 2012, 25790, 581, 0, 487, 207, 2901, 1380, 5011, 6031, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2280, 937, 21675, 2860, 543, 463, 276, 330, 16527, 581, 279, 245, 18972, 279, 4302, 281, 41821, 349, 285, 3708, 359, 521, 1224, 13, 19051, 362, 543, 7654, 3222, 280, 359, 11, 285, 4922, 1712, 33388, 957, 543, 330, 83071, 696, 12, 15572, 13, 487, 2803, 3973, 39369, 2520, 8728, 13, 207, 2901, 549, 4054, 280, 254, 5047, 418, 4054, 280, 19104, 11, 7415, 3997, 11, 487, 362, 993, 13, 207, 2901, 2395, 340, 2674, 276, 254, 1079, 63330, 280, 4349, 31076, 362, 31530, 340, 11, 9322, 8188, 521, 586, 1823, 11, 285, 2143, 340, 881, 254, 6584, 7654, 17943, 280, 5476, 13, 1308, 2451, 340, 463, 6031, 25119, 1234, 285, 9985, 14078, 11, 1592, 359, 317, 1132, 766, 276, 5476, 1310, 13, 487, 207, 2901, 2280, 441, 889, 7421, 285, 21675, 2860, 1285, 11, 487, 993, 65771, 807, 11, 207, 2901, 2381, 340, 1653, 11, 375, 12082, 246, 13, 304, 2126, 340, 11, 565, 889, 1373, 280, 254, 30766, 340, 463, 2295, 525, 11, 588, 304, 2786, 1866, 7654, 13, 9179, 2786, 304, 7654, 7526, 340, 331, 254, 12967, 280, 254, 1562, 8680, 13, 1474, 327, 65771, 807, 254, 96435, 340, 744, 463, 803, 4739, 937, 13, 1474, 430, 2754, 304, 1006, 1132, 254, 1068, 280, 245, 38501, 3390, 487, 82, 4414, 11, 2451, 359, 330, 521, 344, 481, 330, 2826, 1090, 245, 25504, 280, 12792, 13, 1308, 754, 304, 10853, 271, 344, 1228, 1338, 5879, 842, 340, 11, 304, 1401, 2049, 340, 778, 5030, 13, 304, 1027, 463, 7367, 636, 601, 33735, 13, 1308, 359, 317, 889, 245, 1492, 2618, 1962, 340, 778, 1022, 581, 285, 17970, 1310, 13, 2158, 3853, 1132, 340, 614, 13, 1308, 558, 2786, 304, 13, 487, 207, 2901, 2280, 304, 11, 487, 993, 8427, 23280, 11, 207, 2901, 11838, 3667, 279, 254, 16763, 280, 437, 4770, 3114, 11, 588, 317, 1610, 2527, 13, 685, 2507, 276, 1865, 11, 565, 601, 1473, 1722, 12, 23575, 5181, 11, 742, 280, 769, 22503, 2786, 4760, 24293, 26, 285, 754, 395, 1865, 359, 2786, 330, 19893, 11, 327, 245, 1477, 13, 1494, 245, 1477, 25, 245, 2483, 11, 245, 1728, 11, 245, 5197, 1555, 280, 10889, 13, 100001, 2395, 1308, 63454, 317, 3345, 11, 285, 1308, 63454, 8105, 1224, 276, 254, 15441, 13, 2158, 254, 15441, 0, 2158, 254, 15441, 11, 276, 254, 15441, 0, 429, 3682, 307, 24605, 418, 24302, 11, 429, 5409, 317, 31244, 11, 285, 254, 3682, 23513, 317, 15892, 13, 100001, 23240, 11, 11348, 2302, 11, 254, 4078, 4281, 317, 13520, 13, 100001, 78067, 5225, 11, 14518, 5225, 11, 536, 340, 4704, 768, 9609, 11, 429, 18887, 280, 601, 1245, 344, 463, 5418, 1323, 525, 30, 304, 543, 4283, 11, 304, 543, 4283, 254, 16763, 344, 20010, 525, 26, 1494, 769, 2507, 418, 15592, 285, 769, 1555, 20847, 13, 100001, 40, 543, 1452, 254, 5505, 14585, 25862, 30382, 13, 100001, 11211, 418, 254, 11006, 331, 254, 11354, 41324, 13520, 11, 25049, 418, 254, 18887, 279, 254, 30861, 45593, 9609, 11, 685, 427, 54659, 124, 101, 64, 11, 279, 1473, 1722, 5819, 344, 642, 668, 481, 9172, 11, 2280, 558, 17003, 8427, 23280, 2674, 2302, 1224, 254, 12967, 13, 100001, 4631, 254, 3072, 839, 31334, 11, 285, 21675, 2860, 285, 7421, 2674, 276, 704, 17649, 285, 25119, 13, 1308, 279, 254, 4421, 657, 8728, 1310, 279, 3655, 285, 6942, 26, 285, 657, 7133, 1313, 2507, 279, 94921, 296, 2008, 13, 1494, 254, 11714, 280, 339, 561, 93903, 11, 1066, 254, 3697, 438, 1132, 88436, 11, 438, 3345, 276, 415, 3926, 862, 1640, 3009, 133, 215, 77, 11, 285, 254, 5545, 344, 51486, 473, 895, 15300, 1027, 330, 4101, 279, 254, 2653, 372, 359, 22914, 1224, 1184, 895, 37481, 8364, 11, 285, 5079, 1184, 254, 3460, 1431, 525, 7458, 881, 254, 72809, 280, 1308, 63454, 457, 254, 45593, 280, 339, 1226, 1308, 4177, 13, 100001, 549, 38501, 11834, 39463, 1285, 285, 745, 13700, 1310, 254, 6171, 344, 657, 661, 5079, 1323, 26, 285, 7421, 18936, 1958, 279, 742, 13423, 280, 254, 16763, 410, 6486, 1656, 927, 276, 5770, 11, 6642, 11, 245, 30716, 280, 254, 1228, 8562, 517, 3793, 1018, 13, 1308, 754, 362, 7213, 344, 430, 254, 40892, 280, 92552, 256, 745, 661, 803, 245, 1228, 1604, 280, 1069, 35743, 548, 344, 657, 778, 521, 16298, 11, 362, 2215, 359, 245, 9436, 4257, 13, 100001, 2901, 6636, 11, 634, 481, 487, 83, 330, 13495, 430, 2561, 11, 304, 8259, 11, 487, 362, 993, 13, 207, 2901, 2395, 304, 12892, 245, 2603, 11, 24926, 13, 487, 685, 254, 34147, 254, 3697, 1401, 4599, 327, 254, 972, 276, 4302, 281, 41821, 349, 13, 429, 25761, 31611, 285, 254, 12392, 778, 55422, 13, 1494, 742, 661, 8305, 10039, 285, 19556, 1266, 366, 254, 61192, 280, 254, 25742, 20691, 285, 5178, 15631, 11, 2645, 521, 778, 50684, 13, 1308, 11, 5901, 280, 521, 11, 1462, 5651, 779, 661, 5079, 881, 364, 694, 256, 285, 16298, 254, 5878, 20717, 279, 254, 8687, 280, 254, 3114, 13, 100001, 2395, 430, 254, 1562, 754, 254, 2483, 280, 3638, 438, 10894, 3345, 254, 11383, 82, 280, 254, 5653, 845, 636, 1310, 26, 285, 657, 2674, 33143, 5225, 366, 521, 704, 1743, 11, 285, 657, 33997, 473, 339, 1226, 1308, 4177, 1224, 1308, 63454, 276, 508, 7644, 5187, 511, 26, 285, 745, 657, 10471, 327, 634, 1492, 26, 285, 254, 1492, 1166, 657, 2373, 276, 254, 5575, 5633, 280, 254, 19798, 3926, 256, 285, 3505, 1310, 254, 3682, 33549, 1090, 8670, 22266, 314, 2582, 246, 11, 254, 5183, 280, 254, 10889, 280, 92552, 256, 11, 1562, 4887, 280, 12732, 49877, 11, 344, 661, 5079, 1184, 254, 16342, 285, 4043, 276, 245, 761, 1492, 13, 100001, 2280, 745, 279, 254, 19480, 280, 254, 5633, 657, 845, 581, 704, 33232, 296, 562, 285, 48683, 254, 4421, 26, 327, 359, 438, 254, 23599, 280, 3638, 11, 285, 254, 5047, 744, 5223, 586, 18318, 366, 254, 12698, 280, 254, 5071, 13, 27024, 207, 20, 5048, 31328, 42321, 5597, 5048, 58883, 8075, 254, 3787, 280, 92552, 256, 5914, 285, 1228, 14489, 661, 11704, 13, 13421, 8077, 285, 3662, 4281, 661, 4759, 548, 245, 81207, 276, 1743, 4318, 2507, 4586, 1585, 3655, 11, 285, 779, 4133, 1319, 4421, 327, 4921, 280, 48237, 13, 100001, 24925, 15332, 438, 5030, 285, 21861, 11, 5030, 2762, 254, 5047, 280, 50316, 261, 279, 704, 96534, 11, 285, 254, 761, 6404, 344, 661, 1865, 276, 768, 279, 254, 2653, 438, 5418, 1310, 276, 245, 4429, 366, 12056, 1653, 4426, 285, 12906, 327, 688, 1667, 410, 90689, 276, 22255, 13, 1308, 642, 4921, 2373, 13, 4128, 254, 3697, 2116, 74253, 341, 64832, 285, 3061, 254, 67332, 4559, 14172, 254, 13423, 280, 254, 273, 4191, 12, 244, 2208, 642, 35332, 661, 5651, 5068, 688, 94675, 280, 856, 438, 9989, 279, 254, 86317, 7952, 13, 100001, 3287, 254, 11383, 82, 778, 548, 984, 2507, 5418, 11, 254, 10850, 427, 21313, 322, 1944, 38539, 254, 3844, 779, 47319, 711, 276, 3792, 711, 1819, 2415, 11, 285, 838, 744, 441, 330, 21454, 19505, 11, 548, 8728, 26, 285, 754, 657, 661, 51914, 711, 285, 845, 711, 5868, 279, 245, 82193, 280, 30611, 11, 838, 2674, 276, 254, 423, 5783, 280, 254, 51499, 280, 64749, 13, 100001, 2901, 21339, 11, 487, 838, 993, 11, 207, 2901, 40, 608, 279, 1228, 60001, 11, 285, 304, 2977, 9279, 4172, 279, 1906, 1034, 13, 487, 207, 2901, 36010, 11, 487, 362, 7589, 11, 207, 2901, 4215, 418, 441, 2618, 55422, 11, 285, 304, 438, 385, 12, 12326, 271, 276, 6264, 340, 366, 9928, 2062, 13, 1257, 1023, 441, 463, 31743, 473, 520, 3853, 327, 7960, 2507, 2618, 11, 410, 558, 304, 438, 270, 5369, 13, 304, 2698, 340, 276, 614, 1062, 13, 487, 207, 2901, 40, 608, 55422, 11, 487, 838, 993, 11, 207, 2901, 247, 6336, 430, 2754, 279, 3123, 11, 4617, 601, 2116, 5868, 889, 11, 285, 344, 317, 430, 11535, 13, 1474, 304, 2786, 252, 10222, 59306, 11, 565, 745, 317, 66003, 344, 304, 481, 536, 13, 6475, 745, 642, 58285, 280, 4429, 30, 429, 3844, 481, 2410, 525, 3011, 13, 487, 207, 2901, 2960, 418, 642, 58285, 11, 487, 993, 254, 423, 5783, 11, 207, 2901, 13733, 344, 254, 40154, 463, 59295, 276, 74253, 341, 64832, 26, 285, 1743, 1481, 344, 254, 761, 13109, 636, 280, 254, 5226, 317, 704, 8037, 13, 338, 1228, 15332, 317, 344, 11, 285, 245, 26030, 250, 26, 285, 359, 317, 245, 2421, 9989, 8387, 276, 525, 344, 254, 19104, 1297, 1023, 839, 55363, 254, 16356, 13, 809, 317, 441, 4117, 279, 92552, 256, 1132, 11, 2451, 2561, 359, 438, 558, 11, 565, 1712, 29915, 330, 1927, 13, 1474, 327, 1234, 1555, 395, 26030, 408, 463, 889, 14144, 276, 13825, 254, 63736, 1401, 457, 254, 1743, 280, 44914, 13, 15062, 395, 1023, 1592, 463, 2527, 276, 536, 1673, 768, 25, 254, 1843, 317, 2201, 2527, 280, 45888, 285, 4727, 358, 2271, 1673, 27770, 276, 36419, 768, 13, 487, 207, 2901, 1385, 3277, 548, 634, 39085, 276, 28101, 245, 4429, 11, 441, 984, 11, 9890, 423, 5783, 11, 487, 7589, 36, 21313, 24857, 1944, 13, 2901, 2280, 16612, 7549, 50568, 1466, 2687, 21526, 18219, 24056, 12758, 247, 6336, 279, 3123, 13, 9179, 317, 359, 1958, 11626, 276, 6976, 279, 8680, 11, 1236, 279, 17406, 4452, 13, 31453, 304, 16949, 11, 279, 437, 4426, 5064, 304, 744, 4352, 254, 7317, 13, 487, 429, 423, 5783, 4133, 430, 711, 13, 33337, 838, 6626, 745, 11, 711, 3545, 6464, 279, 711, 3682, 3059, 11, 711, 1329, 1297, 82558, 372, 838, 4540, 285, 32182, 636, 280, 586, 4071, 344, 6899, 276, 254, 7952, 13, 1063, 34456, 285, 18176, 586, 1917, 13, 4128, 245, 19548, 838, 4540, 276, 857, 1310, 13, 100001, 2901, 3110, 745, 642, 30769, 276, 536, 30, 487, 838, 993, 13, 207, 2901, 11604, 9412, 279, 437, 5183, 30, 487, 207, 2901, 40, 536, 441, 39745, 1006, 11, 487, 362, 7589, 13, 207, 2901, 18410, 2012, 418, 441, 601, 2062, 13, 100001, 2960, 317, 245, 76331, 855, 254, 433, 7260, 280, 50316, 261, 26, 285, 254, 5157, 23933, 21313, 14833, 11, 304, 608, 3542, 11, 9412, 254, 1743, 280, 92552, 256, 13, 1474, 254, 5157, 13095, 86752, 317, 457, 1329, 254, 89964, 280, 254, 5183, 13, 487, 207, 2901, 9595, 481, 304, 1275, 857, 30, 487, 207, 2901, 774, 437, 2558, 11, 8164, 13, 1063, 438, 69880, 12392, 11, 548, 317, 1132, 845, 1310 ]
[ 100000, 745, 2373, 245, 17203, 23191, 285, 13586, 279, 254, 2997, 280, 359, 11, 285, 359, 4586, 586, 3545, 11, 558, 344, 1132, 362, 1027, 441, 1068, 2302, 13, 30876, 521, 254, 4650, 4759, 331, 4043, 26, 254, 5141, 438, 31270, 11, 410, 254, 11493, 2383, 778, 69513, 13, 41554, 254, 11493, 2674, 636, 13, 1063, 4366, 245, 85694, 285, 29213, 26, 548, 362, 10471, 18261, 11, 497, 42162, 254, 5141, 366, 1572, 4054, 13, 1861, 36541, 285, 11765, 362, 18261, 11, 285, 937, 5322, 25998, 26, 586, 12077, 6937, 3066, 14256, 327, 245, 1477, 13, 2928, 366, 245, 1406, 25038, 5778, 362, 7276, 1062, 285, 2762, 1592, 13, 100001, 549, 5778, 438, 57098, 13, 429, 29526, 88837, 1224, 473, 254, 13716, 13, 2428, 254, 3182, 438, 3444, 12377, 348, 13, 100001, 2901, 3139, 437, 317, 254, 39925, 2081, 487, 993, 39369, 2520, 13, 44021, 1214, 362, 4733, 586, 38271, 855, 254, 22182, 1066, 359, 2762, 13, 207, 2901, 2395, 340, 11, 375, 12082, 246, 0, 1002, 317, 245, 87113, 1947, 276, 2012, 0, 487, 1063, 57684, 457, 375, 12082, 246, 487, 82, 3123, 25, 254, 38501, 3390, 438, 13595, 331, 586, 1062, 11, 25998, 11, 366, 405, 29619, 3545, 30118, 581, 430, 254, 9539, 13, 207, 2901, 549, 21067, 674, 0, 2461, 39869, 643, 362, 2368, 207, 891, 276, 3177, 11, 285, 276, 521, 280, 450, 30, 487, 429, 43424, 487, 82, 3059, 438, 10237, 285, 98564, 13, 100001, 2450, 3061, 375, 12082, 246, 487, 82, 1297, 285, 18261, 855, 586, 3059, 11, 12734, 327, 586, 9004, 26, 937, 362, 9835, 586, 4054, 331, 586, 28372, 13, 429, 38501, 3390, 80078, 13, 100001, 11126, 3545, 6079, 13, 1063, 7899, 636, 26, 285, 2659, 581, 11, 30118, 279, 68873, 469, 430, 521, 254, 12472, 4078, 857, 11, 14211, 279, 254, 44267, 13, 28063, 30, 20143, 953, 344, 0, 487, 2928, 362, 29213, 276, 752, 581, 285, 10778, 11, 548, 39369, 2520, 4586, 857, 18317, 285, 23258, 13, 100001, 2901, 61329, 97807, 92490, 0, 487, 362, 993, 13, 207, 2901, 17095, 1062, 0, 487, 429, 38501, 3390, 23450, 285, 7276, 1062, 11, 58572, 276, 254, 43424, 487, 82, 1297, 13, 100001, 2901, 38, 384, 2520, 2081, 487, 362, 7899, 13, 207, 2901, 38, 384, 2520, 2081, 1494, 20362, 525, 0, 487, 207, 2901, 1988, 20362, 340, 30, 487, 993, 254, 43424, 13, 207, 2901, 28721, 525, 1022, 856, 340, 463, 2368, 0, 487, 207, 2901, 40, 11, 304, 3061, 254, 5141, 285, 4133, 430, 359, 11, 487, 76159, 375, 12082, 246, 26, 207, 2901, 384, 304, 3505, 2012, 344, 27822, 525, 13, 1308, 304, 4579, 276, 614, 2302, 11, 548, 304, 7045, 487, 83, 13, 100001, 2280, 937, 362, 2373, 285, 31507, 525, 26, 285, 362, 4133, 430, 525, 11, 285, 11, 285, 11, 344, 317, 521, 304, 5175, 13, 487, 207, 2901, 4026, 2115, 487, 83, 536, 11, 487, 993, 39369, 2520, 66358, 13, 207, 2901, 2640, 1216, 340, 1019, 11, 285, 856, 1216, 340, 1481, 30, 487, 375, 12082, 246, 7574, 586, 3545, 285, 90055, 11, 548, 993, 3011, 13, 1955, 521, 30298, 430, 857, 279, 12114, 11, 5085, 50762, 779, 4540, 2302, 13, 1474, 39369, 2520, 207, 487, 82, 3059, 438, 1592, 2074, 13, 207, 2901, 64505, 0, 487, 362, 993, 13, 100001, 774, 245, 2495, 74763, 5136, 375, 12082, 246, 4732, 1310, 11, 285, 9405, 586, 3073, 10318, 35715, 285, 13338, 13, 207, 2901, 40, 3505, 245, 4426, 9539, 11, 285, 8670, 8680, 1180, 11, 487, 362, 993, 13, 207, 2901, 2280, 12624, 7524, 13, 809, 4759, 1079, 2367, 2302, 285, 1234, 4084, 11, 2618, 2074, 285, 3662, 13, 2928, 254, 7524, 2674, 279, 285, 636, 207, 891, 657, 778, 3423, 842, 457, 2012, 366, 19814, 13, 15429, 2567, 11, 304, 1378, 11, 1921, 26, 548, 279, 254, 6696, 657, 4133, 837, 48541, 11712, 272, 4078, 254, 18972, 13, 304, 2215, 745, 778, 11326, 280, 768, 13, 3474, 4732, 276, 10572, 6044, 5135, 525, 11, 3442, 11985, 285, 11985, 13, 809, 661, 245, 22319, 207, 891, 642, 11, 642, 0, 304, 481, 487, 83, 1481, 13, 100001, 2901, 40, 3657, 276, 752, 2302, 11, 1373, 304, 2215, 359, 744, 10572, 636, 26, 548, 754, 359, 661, 7665, 521, 254, 22182, 11, 359, 20027, 13, 2928, 362, 2373, 13, 1063, 1216, 441, 3753, 558, 344, 304, 1027, 4704, 3073, 13, 1063, 953, 4133, 11, 285, 304, 10117, 13, 100001, 2901, 207, 2901, 2901, 3139, 340, 463, 1865, 1062, 30, 5903, 463, 340, 25957, 276, 2508, 327, 558, 1234, 30, 56988, 207, 2901, 40, 1216, 441, 3510, 13, 1063, 993, 25, 207, 2901, 2901, 11604, 418, 340, 30, 56988, 304, 1592, 1216, 441, 3510, 11, 548, 359, 12392, 525, 62046, 26, 285, 362, 16790, 525, 11, 558, 304, 993, 25, 207, 2901, 2901, 32, 38501, 3390, 13, 56988, 207, 2901, 4631, 8963, 362, 4759, 276, 1019, 525, 11, 285, 362, 14032, 430, 525, 13, 809, 438, 17426, 13, 809, 438, 837, 1435, 78266, 366, 47513, 13, 304, 29213, 13, 1474, 362, 993, 25, 207, 2901, 2901, 18420, 245, 2780, 0, 1003, 2786, 2984, 1310, 3444, 13, 21677, 10898, 8379, 344, 437, 60105, 317, 441, 327, 857, 13, 304, 543, 4827, 327, 359, 430, 2561, 13, 3132, 340, 2579, 30, 20143, 953, 344, 0, 56988, 207, 2901, 4631, 362, 307, 789, 616, 855, 525, 13, 304, 4749, 304, 438, 13520, 276, 8155, 13, 2366, 11, 642, 0, 304, 481, 487, 83, 1481, 688, 691, 13, 304, 1113, 487, 83, 5175, 3270, 1979, 13, 487, 207, 2901, 9610, 430, 525, 0, 487, 993, 39369, 2520, 13, 100001, 47, 12082, 246, 4133, 581, 6044, 881, 586, 3545, 13, 429, 43424, 4586, 586, 24529, 327, 245, 2780, 279, 12114, 13, 2928, 586, 3059, 10318, 6065, 2580, 11, 285, 254, 13423, 280, 245, 9973, 7676, 13, 1063, 9835, 586, 1297, 26380, 331, 375, 12082, 246, 487, 82, 1917, 13, 100001, 2901, 3315, 1035, 0, 487, 1218, 19505, 13, 2901, 30445, 19843, 420, 0, 2054, 9145, 290, 2693, 77, 2099, 1773, 13, 2960, 2720, 1667, 463, 2368, 9507, 279, 1108, 245, 1452, 13, 1474, 1995, 437, 0, 1257, 463, 803, 9638, 11, 285, 521, 520, 3997, 1653, 11, 12336, 457, 1207, 16531, 11, 372, 359, 317, 2424, 13, 1257, 2977, 1690, 331, 359, 245, 1864, 766, 13, 1273, 362, 661, 31507, 340, 11, 937, 285, 745, 11, 3308, 6062, 340, 744, 463, 3542, 521, 344, 340, 1006, 11, 276, 254, 22204, 280, 450, 521, 13, 1474, 362, 438, 1653, 14160, 13, 1063, 1216, 441, 1121, 1757, 889, 25, 362, 4579, 340, 11, 5397, 11, 558, 344, 362, 1027, 3822, 366, 340, 279, 254, 17514, 25943, 11, 9405, 13, 4946, 487, 83, 54350, 0, 1273, 340, 543, 1746, 39903, 279, 254, 15726, 280, 423, 52412, 11, 340, 1534, 330, 8479, 276, 1378, 280, 1108, 2012, 13, 1474, 1865, 0, 304, 25754, 340, 13, 2746, 72883, 0, 21985, 463, 441, 4540, 636, 372, 760, 11060, 372, 657, 1667, 13, 487, 1063, 18949, 375, 12082, 246, 18317, 285, 7452, 857, 1062, 276, 586, 3853, 13, 50762, 5496, 11, 285, 2659, 1224, 13869, 857, 13, 207, 2901, 34058, 745, 285, 1610, 11, 565, 340, 481, 11, 375, 12082, 246, 0, 487, 993, 39369, 2520, 13, 207, 2901, 38028, 525, 13, 1273, 340, 2213, 274, 96290, 279, 520, 53066, 1310, 11, 2410, 525, 280, 359, 0, 10553, 2012, 481, 330, 46000, 13, 1474, 12344, 11, 601, 7415, 38501, 3390, 11, 1113, 487, 83, 1957, 245, 46643, 280, 6796, 1090, 601, 37372, 1310, 0, 4201, 11, 304, 543, 4283, 340, 984, 2854, 327, 245, 1477, 13, 487, 2991, 344, 39369, 2520, 5651, 276, 254, 3072, 11, 779, 778, 1592, 8898, 457, 254, 35100, 863, 12, 10287, 279, 27484, 2215, 13, 207, 2901, 5130, 296, 3450, 279, 254, 2653, 754, 2754, 4061, 11, 487, 362, 993, 13, 207, 2901, 1380, 463, 661, 245, 9745, 10778, 0, 487, 207, 2901, 2819, 317, 254, 38501, 3390, 11, 375, 12082, 246, 30, 487, 3637, 52334, 1752, 13, 100001, 2901, 40, 1378, 521, 543, 330, 1136, 1132, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 2450, 438, 441, 4586, 1234, 11, 285, 38501, 11834, 463, 274, 6971, 1823, 280, 10087, 13, 429, 4887, 11, 410, 254, 20040, 280, 359, 11, 543, 3748, 28747, 5397, 13, 26322, 5397, 11, 5216, 13, 100001, 10783, 340, 11, 52334, 1752, 11, 1529, 254, 35100, 863, 12, 10287, 285, 6839, 359, 30, 809, 317, 245, 7082, 12, 66533, 5361, 13, 487, 207, 2901, 35, 4402, 625, 6031, 11, 548, 441, 276, 521, 11, 487, 993, 52334, 1752, 13, 207, 2901, 2960, 317, 634, 779, 975, 4351, 359, 457, 1329, 13, 1494, 437, 79644, 317, 254, 5609, 401, 21313, 18700, 81, 280, 35100, 863, 473, 254, 61677, 280, 1473, 409, 296, 11, 845, 1285, 457, 254, 23555, 280, 92552, 256, 13, 4201, 601, 5064, 24259, 3345, 13, 304, 543, 1529, 359, 13, 487, 39369, 2520, 4133, 430, 52334, 1752, 11, 285, 937, 11, 276, 254, 10782, 280, 254, 3072, 11, 362, 18949, 254, 7665, 17365, 11, 285, 31788, 372, 362, 6605, 359, 13, 100001, 2901, 36686, 359, 11, 15332, 0, 487, 362, 993, 25, 207, 2901, 246, 18727, 280, 750, 2012, 344, 2786, 330, 2028, 1062, 13, 1474, 565, 304, 975, 15521, 340, 279, 254, 938, 280, 520, 1377, 11, 536, 441, 938, 359, 207, 891, 2618, 0, 2746, 58306, 0, 487, 207, 2901, 3287, 463, 304, 803, 51284, 410, 19735, 666, 11, 779, 463, 17493, 285, 8479, 327, 558, 1313, 1234, 1555, 30, 487, 993, 52334, 1752, 13, 100001, 2901, 17769, 2618, 13, 3132, 441, 937, 69559, 430, 254, 1225, 280, 254, 4559, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 2395, 430, 254, 2754, 2240, 437, 2421, 6486, 13, 1257, 11, 285, 521, 3072, 344, 2039, 1285, 0, 429, 38501, 3390, 11, 13757, 97807, 11, 2330, 521, 1023, 441, 1006, 1066, 359, 317, 46118, 13, 429, 11626, 4357, 975, 1865, 331, 857, 1310, 13, 1494, 42157, 0, 362, 643, 19242, 359, 285, 4133, 279, 359, 11, 372, 1023, 1866, 463, 6628, 13, 1265, 430, 2561, 6384, 254, 4910, 280, 254, 17365, 13, 2928, 304, 438, 25761, 11, 285, 372, 304, 2762, 84925, 359, 11, 5476, 79118, 525, 13, 4201, 304, 1006, 0, 487, 207, 2901, 5661, 11, 745, 481, 330, 642, 5914, 11, 487, 993, 52334, 1752, 13, 207, 2901, 3567, 1562, 395, 1006, 254, 3636, 1439, 2128, 1227, 494, 285, 364, 694, 256, 11, 285, 946, 359, 5168, 13, 21992, 317, 9643, 13, 487, 207, 2901, 88829, 12056, 463, 769, 14924, 11, 285, 8387, 44463, 0, 487, 993, 429, 21313, 94054, 13, 207, 2901, 2395, 359, 643, 1234, 803, 993, 25, 36799, 11626, 543, 2786, 11626, 2211, 13, 487, 207, 2901, 4026, 1313, 2602, 317, 2826, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2395, 430, 437, 766, 395, 463, 803, 38360, 25517, 13, 12343, 11, 304, 463, 803, 9638, 457, 437, 38501, 3390, 473, 245, 16223, 84179, 13, 304, 661, 4828, 3203, 410, 441, 276, 19751, 437, 17365, 4367, 276, 1275, 895, 5131, 13, 15918, 304, 2368, 558, 11, 304, 1023, 463, 803, 13558, 276, 857, 4367, 13, 304, 608, 441, 4599, 327, 1108, 245, 10075, 11, 565, 6031, 304, 2786, 2647, 330, 558, 13, 1474, 1236, 565, 304, 1503, 254, 1823, 276, 18635, 4367, 11, 359, 744, 330, 51178, 327, 857, 276, 1019, 525, 11, 2618, 207, 891, 2645, 254, 5064, 3450, 754, 56716, 543, 12764, 642, 4172, 13, 487, 207, 2901, 4026, 5064, 317, 1132, 1865, 11, 304, 1378, 11, 487, 993, 52334, 1752, 13, 100001, 2901, 3647, 2618, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2960, 7544, 245, 2577, 1477, 280, 5914, 11, 588, 395, 1534, 938, 13, 429, 75425, 11, 359, 317, 3662, 11, 2215, 344, 254, 17365, 438, 279, 35100, 863, 207, 891, 2643, 1023, 362, 441, 30, 1308, 344, 4573, 254, 38501, 3390, 438, 47127, 745, 11, 11516, 276, 1068, 279, 254, 6696, 327, 586, 42018, 457, 10898, 8379, 13, 2608, 4426, 2764, 543, 330, 8148, 1132, 366, 254, 5136, 285, 3059, 280, 254, 38501, 3390, 285, 366, 18606, 25, 359, 975, 1529, 742, 766, 1323, 362, 36846, 586, 2189, 13, 1003, 1534, 66849, 344, 766, 13, 1003, 463, 803, 1653, 62159, 13, 1003, 1534, 2938, 13, 429, 26438, 280, 2128, 1227, 494, 317, 642, 1810, 1132, 276, 51334, 279, 13, 304, 543, 10502, 8450, 430, 2561, 366, 13757 ]
[ 100000, 7499, 11, 285, 643, 254, 6146, 1823, 13, 487, 1308, 427, 21313, 18923, 7123, 344, 362, 438, 1572, 77197, 285, 25761, 993, 25, 207, 2901, 6306, 340, 1534, 1610, 11, 13946, 11, 285, 430, 254, 2754, 6540, 245, 1585, 30, 487, 1474, 52334, 1752, 7589, 25, 207, 2901, 38157, 11, 327, 1069, 1853, 11, 285, 1094, 3444, 327, 13095, 86752, 11, 766, 317, 3268, 636, 13, 2428, 4583, 317, 4067, 13, 487, 2928, 362, 2424, 276, 304, 420, 393, 285, 362, 993, 25, 207, 2901, 2054, 463, 4743, 279, 437, 5989, 280, 254, 31683, 280, 19104, 30, 487, 207, 2901, 5661, 11, 15332, 11, 487, 838, 7589, 26, 207, 2901, 2381, 441, 2527, 11, 304, 35442, 11, 327, 521, 344, 543, 933, 768, 13, 1474, 304, 608, 2049, 304, 536, 441, 1006, 1066, 395, 2786, 1275, 691, 26, 327, 521, 2012, 418, 85608, 279, 1069, 27723, 2507, 11, 856, 366, 22533, 285, 7172, 791, 11, 285, 254, 43707, 344, 1409, 80776, 558, 1860, 11, 285, 521, 254, 16672, 19283, 13, 5903, 11, 359, 317, 2507, 636, 280, 1690, 1962, 2647, 245, 18942, 2373, 279, 473, 33168, 1668, 683, 276, 254, 2892, 0, 1474, 395, 536, 769, 1608, 279, 437, 5989, 366, 856, 395, 463, 11, 372, 304, 608, 2049, 520, 60260, 543, 1006, 13, 487, 207, 2901, 40, 543, 12218, 344, 754, 304, 1019, 11, 487, 993, 52334, 1752, 13, 207, 2901, 4711, 2421, 839, 317, 2577, 11, 766, 327, 8689, 13, 10351, 340, 430, 4116, 281, 30, 487, 207, 2901, 40, 536, 441, 1006, 11, 304, 608, 2049, 11, 15332, 11, 487, 838, 7589, 11, 207, 2901, 253, 2754, 441, 457, 2901, 1385, 317, 839, 2424, 27198, 2315, 296, 11, 487, 993, 52334, 1752, 26, 207, 2901, 384, 6642, 340, 1006, 359, 457, 344, 1210, 11, 327, 558, 254, 3085, 12, 33468, 1282, 359, 279, 1069, 7317, 2507, 13, 487, 207, 2901, 6023, 344, 0, 487, 993, 304, 420, 393, 13, 207, 2901, 6636, 11, 565, 520, 60260, 661, 7046, 359, 430, 1022, 304, 1027, 463, 3542, 340, 13, 2366, 11, 395, 463, 5249, 280, 359, 11, 304, 608, 2049, 13, 5903, 11, 304, 463, 1866, 4101, 344, 359, 661, 688, 1228, 20542, 26, 285, 6031, 304, 463, 2752, 993, 276, 601, 21864, 754, 395, 2373, 2065, 359, 7476, 279, 254, 16763, 25, 207, 2901, 2901, 74, 791, 2315, 296, 56988, 11, 304, 993, 11, 207, 2901, 2901, 487, 23697, 245, 8387, 1210, 11, 285, 304, 3860, 2643, 207, 487, 23697, 2424, 558, 26, 327, 565, 304, 778, 245, 6404, 11, 304, 744, 463, 9962, 691, 6464, 279, 601, 8324, 56988, 13, 100001, 23392, 359, 44017, 6584, 754, 75257, 11, 1217, 359, 441, 30, 1273, 6584, 317, 254, 1329, 1734, 25, 49787, 11, 6642, 11, 317, 23479, 13, 487, 207, 2901, 3236, 7467, 498, 94384, 11, 487, 993, 52334, 1752, 13, 207, 2901, 2280, 1132, 11, 73655, 11, 565, 340, 2126, 254, 5157, 13095, 86752, 11, 1409, 372, 3399, 372, 520, 16777, 285, 752, 525, 27198, 2315, 296, 11, 565, 745, 317, 245, 14568, 279, 254, 5183, 13, 487, 207, 2901, 2280, 565, 441, 11, 487, 993, 39369, 2520, 11, 207, 2901, 40, 543, 10502, 276, 33168, 1668, 683, 366, 304, 420, 393, 4435, 525, 11, 285, 838, 2786, 1529, 525, 276, 254, 16763, 11, 548, 441, 276, 711, 21864, 13, 100001, 2280, 37134, 43745, 2786, 1296, 711, 254, 4569, 280, 32483, 13, 487, 2473, 304, 420, 393, 438, 5418, 11, 52334, 1752, 38539, 254, 750, 3844, 276, 1099, 2354, 3550, 13, 2928, 362, 3061, 13095, 86752, 487, 82, 1297, 279, 586, 11, 285, 9835, 254, 750, 1297, 2065, 254, 10377, 668, 487, 82, 28372, 13, 809, 438, 12640, 55366, 366, 27282, 26, 548, 13095, 86752, 1216, 441, 2938, 410, 1099, 688, 1472, 11, 285, 4759, 10983, 276, 29620, 13, 100001, 2901, 2450, 317, 6128, 7133, 11, 487, 993, 52334, 1752, 9860, 276, 39369, 2520, 13, 207, 2901, 2395, 437, 3450, 441, 473, 254, 20401, 13, 5129, 0, 344, 317, 19104, 13, 15918, 362, 803, 99231, 457, 742, 38126, 280, 254, 36968, 3441, 133, 215, 284, 11, 372, 340, 2215, 11, 362, 744, 463, 7648, 344, 2653, 13, 1002, 12392, 438, 2028, 457, 742, 5178, 2114, 18660, 11, 304, 744, 6384, 13, 100001, 11604, 12419, 359, 8188, 30, 14470, 359, 5982, 30, 487, 207, 2901, 40, 12419, 359, 8188, 11, 487, 993, 4086, 27936, 296, 11, 207, 2901, 384, 352, 61688, 2910, 254, 20401, 13, 1474, 304, 1216, 441, 2240, 254, 18660, 11, 327, 395, 661, 1266, 276, 536, 13, 809, 438, 11, 372, 304, 5175, 11, 953, 1108, 245, 38126, 372, 254, 5178, 15631, 938, 13, 11169, 304, 11510, 344, 359, 2373, 473, 254, 86230, 2330, 11, 327, 1979, 586, 21405, 285, 36914, 778, 441, 276, 330, 10117, 26, 1962, 254, 20401, 438, 441, 4399, 410, 14454, 13, 1724, 937, 536, 340, 1274, 254, 3502, 30, 487, 207, 2901, 94222, 1566, 11, 20110, 327, 586, 4209, 487, 82, 15128, 11, 245, 20401, 11, 285, 855, 521, 254, 6350, 83625, 11, 487, 993, 52334, 1752, 13, 207, 2901, 2450, 317, 245, 668, 280, 352, 67605, 543, 11, 327, 2571, 362, 661, 1865, 3415, 1090, 254, 37134, 1323, 2647, 362, 19354, 276, 8680, 331, 254, 636, 12, 46916, 13, 80809, 254, 4426, 1534, 463, 39262, 331, 857, 11, 1236, 372, 362, 19556, 285, 67220, 276, 2785, 586, 636, 5456, 13, 14659, 344, 304, 1027, 463, 803, 1285, 19026, 0, 487, 2071, 12758, 254, 31915, 12, 10037, 8400, 13, 207, 2901, 7616, 60260, 3637, 327, 27198, 2315, 296, 11, 372, 254, 18182, 964, 1210, 359, 11, 487, 362, 993, 26, 207, 2901, 256, 430, 4116, 281, 279, 254, 12573, 16777, 11, 410, 276, 1462, 779, 1006, 8997, 280, 254, 3601, 246, 69981, 1204, 487, 2901, 7616, 25880, 15332, 0, 487, 993, 254, 668, 13, 207, 2901, 40, 1019, 340, 418, 245, 63618, 12, 10037, 11, 441, 10660, 245, 13109, 280, 4429, 13, 1474, 42157, 0, 8005, 11, 395, 536, 441, 2240, 437, 2421, 279, 254, 51499, 280, 64749, 11, 1066, 889, 254, 42799, 12392, 410, 10377, 418, 47319, 13, 100001, 1988, 359, 643, 642, 20542, 344, 395, 1006, 280, 11, 4617, 5216, 276, 6584, 255, 245, 3941, 1215, 3207, 11, 410, 276, 3797, 2302, 742, 9989, 10853, 1566, 13, 23654, 11, 280, 2629, 11, 340, 2102, 35871, 276, 79482, 280, 1712, 2507, 588, 3844, 1108, 372, 769, 1207, 304, 420, 393, 1592, 12926, 1673, 6714, 13, 100001, 3287, 254, 3438, 9004, 33094, 285, 4349, 487, 82, 13423, 19112, 285, 521, 11493, 1452, 11, 1865, 430, 4116, 281, 0, 1865, 430, 4116, 281, 0, 8598, 276, 254, 17616, 685, 254, 6404, 487, 82, 1297, 13595, 0, 809, 317, 548, 245, 5025, 70, 3800, 11, 304, 5663, 11, 7262, 11232, 279, 254, 4887, 280, 1712, 29586, 13, 9904, 4569, 304, 4283, 276, 520, 47279, 11, 565, 6031, 359, 643, 688, 13, 1474, 1712, 22503, 1592, 938, 274, 68920, 280, 254, 31915, 327, 50943, 13, 487, 207, 2901, 4631, 279, 254, 1210, 280, 254, 6404, 11, 614, 285, 1275, 742, 1712, 668, 280, 2246, 63618, 285, 691, 16533, 779, 11526, 742, 279, 586, 2558, 0, 487, 7899, 39369, 2520, 13, 100001, 4388, 52334, 1752, 57684, 13869, 13095, 86752, 11, 285, 4586, 245, 1297, 2065, 586, 28372, 13, 1308, 1462, 344, 12835, 4749, 344, 742, 1228, 13564, 438, 1872, 331, 13, 1494, 52334, 1752, 487, 82, 3059, 10318, 14518, 366, 77774, 26, 285, 2647, 285, 65032, 362, 2424, 254, 1210, 280, 13095, 86752, 11, 548, 1319, 766, 691, 55479, 276, 704, 10921, 11, 372, 565, 52334, 1752, 3177, 438, 6910, 473, 768, 11, 285, 10408, 60144, 279, 742, 4426, 70140, 11, 9609, 327, 634, 344, 438, 4739, 13, 100001, 2280, 430, 1562, 20569, 296, 2373, 3268, 279, 11, 285, 362, 20010, 4484, 8242, 279, 245, 17715, 13, 207, 2901, 1385, 317, 27198, 2315, 296, 11, 6862, 11, 487, 362, 993, 26, 207, 2901, 2381, 441, 5583, 11, 304, 5663, 13, 809, 1534, 463, 803, 258, 80355, 984, 5752, 4084, 430, 254, 2754, 13, 304, 3655, 359, 543, 5043, 11, 6862, 30, 487, 2928, 2709, 430, 13095, 86752, 362, 13326, 881, 12867, 13, 100001, 2395, 52334, 1752, 17424, 13, 207, 2901, 1385, 543, 5043, 11, 487, 362, 993, 13, 207, 2901, 549, 11312, 317, 1132, 855, 13, 27617, 285, 330, 72883, 0, 487, 2928, 3950, 984, 8242, 11, 362, 9835, 768, 331, 586, 4054, 285, 47460, 331, 768, 11, 285, 937, 362, 31514, 768, 11, 285, 6044, 1411, 245, 4731, 56599, 8148, 254, 2563, 11, 372, 565, 254, 3207, 3964, 46131, 285, 33616, 1215, 11, 39741, 366, 8810, 13, 1308, 937, 362, 4733, 254, 8242, 881, 254, 49782, 280, 78920, 2354, 344, 778, 4832, 276, 857, 11, 285, 430, 2561, 521, 14495, 778, 2156, 2954, 13, 1494, 254, 41767, 344, 2373, 276, 1319, 438, 837, 245, 4887, 280, 315, 25785, 48842, 280, 405, 17470, 271, 4281, 279, 742, 3114, 280, 588, 254, 4770, 1843, 279, 8079, 317, 3964, 548, 245, 76783, 4887, 13, 1474, 52334, 1752, 6626, 581, 372, 634, 51870, 11, 285, 586, 3545, 17424, 372, 362, 4586, 245, 16136, 1323, 13095, 86752, 487, 82, 40610, 3059, 13, 1513, 280, 254, 29402, 280, 304, 1315, 1034, 9773, 3970, 754, 304, 438, 245, 64899, 11, 285, 642, 6404, 1027, 2088, 327, 2018, 13, 487, 41554, 13095, 86752, 38087, 11, 285, 362, 6899, 586, 3545, 11, 285, 362, 4133, 331, 52334, 1752, 779, 18261, 855, 857, 26, 285, 245, 2156, 280, 4530, 285, 2126, 438, 78293, 279, 586, 3545, 11, 285, 362, 8921, 26380, 13, 207, 2901, 3673, 15332, 11, 340, 2424, 525, 13, 304, 1865, 13, 2461, 1217, 254, 6404, 2525, 30, 487, 207, 2901, 29879, 642, 691, 279, 254, 25851, 11, 548, 28183, 0, 487, 993, 52334, 1752, 13, 207, 2901, 2054, 418, 25761, 13, 14757, 245, 1477, 11, 285, 1529, 3427, 11, 285, 330, 4599, 754, 304, 972, 13, 487, 207, 2901, 40, 543, 11, 15332, 11, 487, 993, 13095, 86752, 13, 207, 2901, 1988, 779, 744, 9279, 21639, 754, 254, 6404, 643, 5651, 30, 487, 207, 2901, 93816, 5342, 937, 327, 245, 1477, 0, 487, 993, 52334, 1752, 13, 207, 2901, 40, 1534, 614, 276, 3072, 779, 933, 525, 13, 487, 1308, 362, 2116, 254, 18377, 366, 39369, 2520, 285, 4086, 27936, 296, 26, 548, 40031, 70, 1089, 285, 586, 4278, 10471, 4435, 11, 9892, 276, 3780, 704, 8810, 13, 100001, 2124, 362, 5496, 39369, 2520, 285, 7574, 254, 4167, 375, 12082, 246, 4101, 304, 420, 393, 411, 6739, 25, 207, 2901, 24288, 0, 12887, 340, 4704, 344, 30, 2461, 1216, 304, 1481, 30, 429, 4054, 280, 245, 26030, 250, 11, 304, 993, 13, 487, 1308, 3444, 254, 1734, 661, 5418, 636, 473, 254, 5989, 344, 254, 6404, 438, 6031, 1865, 3264, 768, 11, 285, 1166, 4429, 362, 4832, 19104, 26, 285, 254, 4921, 7279, 1184, 254, 5183, 13, 100001, 2395, 52334, 1752, 2373, 276, 427, 21313, 24857, 1944, 11, 285, 362, 993, 25, 207, 2901, 4898, 745, 317, 245, 87113, 12392, 285, 245, 6751, 10631, 13, 429, 5868, 344, 438, 7488, 643, 803, 47319, 366, 3266, 11228, 11, 285, 359, 543, 51939, 279, 766, 11, 565, 838, 643, 254, 6313, 276, 3530, 13, 809, 317, 254, 16352, 12, 1773, 344, 317, 273, 2975, 271, 26, 548, 254, 8037, 11626, 3450, 1184, 254, 16356, 12, 1773, 13, 685, 344, 745, 1132, 3354, 642, 1728, 11, 5802, 359, 317, 60300, 13, 100001, 2901, 60345, 0, 1494, 838, 438, 265, 3580, 2481, 245, 39085, 5897, 254, 6313, 280, 711, 2764, 410, 3123, 13, 1308, 1462, 779, 543, 1529, 245, 17094, 276, 1108, 274, 9470, 1534, 330, 22757, 250, 853, 10586, 11, 565, 254, 1079, 11163, 2786, 441, 9699, 768, 13, 100001, 1385, 438, 274, 11626, 48237, 344, 845, 711, 279, 586, 3088, 13, 1494, 838, 317, 245, 4770, 33722, 11, 89394, 8164, 280, 245, 2558, 280, 79104, 13, 1308, 2618, 304, 1006, 441, 946, 304, 1023, 3753, 280, 711, 13, 2473, 304, 1022, 4133, 331, 711, 285, 20940, 711, 405, 22655, 72, 12, 291, 390, 11, 359, 4759, 276, 525, 344, 304, 3505, 245, 3682, 15583, 8898, 6044, 285, 9326, 11, 75661, 733, 372, 245, 63712, 11, 285, 2618, 4437, 344, 359, 438, 2074, 11, 372, 565, 35386, 457, 77937, 12, 43012, 82, 636, 280, 10586, 13, 2489, 438, 359, 11, 6642, 11, 245, 27590, 344, 661, 4540, 895, 20973, 276, 9400 ]
[ 100000, 13, 100001, 47781, 279, 254, 4421, 285, 430, 1492, 487, 82, 15592, 41785, 3061, 285, 81185, 13, 9055, 1132, 657, 5476, 1090, 11387, 279, 92552, 256, 457, 254, 6982, 9321, 13, 100001, 78067, 1132, 372, 12867, 11, 64195, 11041, 11, 3074, 937, 359, 19178, 11, 54613, 2354, 25, 23513, 73401, 366, 5931, 1278, 4065, 430, 28976, 26, 372, 330, 54435, 14499, 21861, 430, 6787, 26, 3074, 7276, 254, 50010, 279, 10343, 5213, 427, 14187, 13, 27024, 207, 22, 5048, 63094, 1374, 5372, 88049, 17522, 1698, 2473, 254, 4426, 13423, 430, 254, 22425, 45352, 39369, 2520, 1592, 2659, 7745, 12, 2246, 13, 1474, 375, 12082, 246, 8728, 276, 586, 5144, 11, 372, 565, 245, 1228, 4297, 661, 803, 18949, 473, 857, 26, 285, 362, 6626, 12734, 276, 254, 44055, 11, 285, 359, 4759, 276, 857, 344, 657, 744, 2973, 586, 2997, 366, 8810, 13, 1308, 1866, 279, 1166, 1555, 1027, 362, 4704, 245, 27250, 30249, 279, 254, 5013, 1673, 12867, 5872, 279, 586, 3545, 13, 1474, 1132, 8963, 586, 58205, 5651, 276, 586, 4887, 11, 285, 362, 7279, 4312, 13, 2803, 344, 2780, 39369, 2520, 38087, 285, 8921, 276, 37134, 43745, 11, 285, 438, 786, 276, 10502, 1184, 254, 22425, 13, 100001, 2901, 38, 384, 2520, 11, 39369, 2520, 2081, 487, 7899, 375, 12082, 246, 11, 285, 37134, 43745, 41639, 13, 100001, 2901, 2640, 418, 340, 3217, 1285, 30, 487, 993, 39369, 2520, 13, 207, 2901, 3110, 359, 441, 245, 2753, 279, 254, 5183, 344, 1462, 779, 8662, 254, 3438, 285, 11041, 1534, 4152, 279, 254, 19892, 15352, 11, 6838, 704, 15332, 4380, 768, 4283, 30, 487, 207, 2901, 2450, 643, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2450, 2143, 525, 2302, 13, 1474, 304, 608, 27822, 13, 100001, 29534, 12906, 975, 6095, 581, 745, 13, 429, 5157, 317, 636, 280, 586, 2764, 11, 304, 1378, 13, 304, 608, 10297, 362, 543, 6856, 3177, 11, 285, 6856, 13095, 86752, 1653, 13, 100001, 5900, 487, 83, 340, 536, 1874, 30, 487, 39369, 2520, 4133, 1184, 254, 96678, 22425, 11, 285, 2571, 331, 254, 5633, 362, 4101, 254, 20190, 3066, 280, 8680, 13, 1063, 82558, 586, 1297, 13, 207, 2901, 40, 1534, 614, 11, 487, 362, 993, 13, 207, 2901, 549, 6350, 73613, 317, 17970, 11, 285, 362, 543, 2618, 3792, 22204, 331, 450, 13, 304, 463, 642, 766, 13, 487, 207, 2901, 2395, 13095, 86752, 0, 487, 7899, 375, 12082, 246, 13, 207, 2901, 2450, 317, 441, 5030, 11, 285, 657, 543, 7172, 857, 13260, 11, 565, 3899, 1217, 441, 3070, 768, 13, 487, 207, 2901, 50787, 857, 13260, 30, 487, 993, 39369, 2520, 13, 207, 2901, 2640, 317, 437, 19025, 30, 2746, 3399, 0, 487, 207, 2901, 23467, 862, 256, 643, 5418, 276, 254, 6771, 1786, 11, 487, 993, 375, 12082, 246, 11, 207, 2901, 384, 362, 643, 3443, 13095, 86752, 11, 285, 362, 2970, 395, 418, 521, 276, 7172, 11, 285, 362, 543, 441, 3825, 11, 285, 657, 418, 276, 1099, 245, 15445, 248, 285, 7172, 857, 331, 359, 11, 285, 13095, 86752, 372, 1136, 13, 100001, 2280, 362, 643, 2143, 1743, 276, 16893, 4837, 285, 6246, 13, 1308, 304, 463, 3542, 40031, 70, 1089, 11, 548, 304, 487, 76, 10297, 362, 2115, 487, 83, 18628, 276, 4283, 586, 1767, 25, 362, 317, 331, 6839, 13, 1308, 856, 481, 362, 536, 12344, 30, 487, 2086, 375, 12082, 246, 28078, 636, 586, 19025, 11, 16232, 581, 285, 23005, 39369, 2520, 207, 487, 82, 20403, 366, 31345, 4054, 13, 207, 2901, 5900, 487, 83, 340, 4617, 13095, 86752, 30, 487, 207, 2901, 21529, 304, 481, 11, 487, 993, 39369, 2520, 26, 207, 2901, 2381, 565, 304, 536, 11, 937, 3072, 543, 6976, 11, 304, 5663, 13, 7384, 11, 304, 1534, 1865, 11, 1962, 642, 750, 1345, 481, 5934, 857, 13, 1474, 11626, 285, 19506, 543, 1865, 280, 437, 13, 6809, 279, 254, 2997, 280, 769, 87643, 254, 75425, 643, 1823, 276, 15207, 450, 25, 327, 586, 543, 359, 317, 344, 317, 430, 830, 13, 487, 2928, 2497, 1401, 581, 586, 2764, 362, 23612, 35503, 26, 285, 28160, 672, 6565, 280, 4429, 8728, 4435, 768, 13, 84634, 1743, 778, 12698, 473, 704, 22553, 285, 14489, 11, 63444, 704, 15872, 11, 24302, 634, 276, 1913, 25, 207, 2901, 49, 66431, 643, 1865, 0, 487, 11383, 82, 778, 40579, 11, 5212, 778, 75788, 12, 6209, 26, 1313, 2571, 778, 44352, 1224, 276, 254, 22425, 13, 100001, 5490, 2011, 254, 13445, 4086, 27936, 296, 11, 285, 362, 2424, 276, 768, 25, 207, 2901, 3236, 2064, 1132, 11, 364, 349, 21192, 348, 30, 429, 50316, 348, 4383, 418, 13286, 331, 254, 5633, 280, 92552, 256, 0, 1003, 1534, 10810, 521, 254, 6313, 344, 395, 481, 1275, 13, 487, 207, 2901, 2054, 543, 933, 1131, 668, 285, 691, 11, 487, 993, 39369, 2520, 13, 207, 2901, 11345, 521, 32483, 13, 304, 543, 1865, 754, 304, 481, 13, 1474, 304, 463, 274, 58205, 276, 254, 5157, 10806, 862, 256, 344, 543, 441, 3825, 13, 11293, 2525, 279, 254, 5157, 487, 82, 13356, 0, 487, 1955, 5079, 331, 26, 285, 372, 657, 32545, 285, 12419, 3345, 276, 254, 19892, 15352, 657, 4749, 254, 5409, 31244, 279, 704, 12472, 11, 285, 657, 9317, 254, 70673, 280, 4421, 2367, 2302, 11, 245, 2156, 7476, 279, 254, 18034, 9539, 13, 1474, 359, 4832, 1585, 3655, 276, 768, 11, 441, 10539, 856, 11626, 2762, 1323, 768, 11, 58040, 276, 1865, 1653, 5189, 13, 100001, 2901, 36608, 1465, 317, 9989, 11, 487, 993, 39369, 2520, 11, 207, 2901, 2381, 359, 1592, 11012, 6751, 331, 437, 5183, 13, 487, 2803, 254, 8364, 280, 254, 19892, 15352, 657, 1503, 642, 6839, 13, 207, 2901, 4631, 40031, 70, 1089, 643, 5418, 11, 487, 993, 375, 12082, 246, 691, 21187, 13, 1955, 4540, 2302, 285, 40382, 2726, 254, 4559, 276, 254, 58745, 29201, 13, 809, 6626, 5505, 1721, 11, 285, 254, 44799, 2762, 1323, 359, 13, 1063, 438, 38251, 285, 586, 2131, 661, 803, 3443, 13, 100001, 2901, 10869, 280, 254, 75425, 0, 487, 993, 39369, 2520, 13, 207, 2901, 18410, 31977, 362, 13635, 25, 2138, 430, 4429, 366, 2138, 26, 28901, 13429, 279, 16305, 280, 14495, 13, 487, 4201, 362, 86908, 285, 38539, 37134, 43745, 972, 276, 586, 9456, 13, 207, 2901, 1988, 11, 601, 2138, 11, 487, 362, 993, 11, 207, 2901, 4215, 285, 304, 1023, 463, 59295, 276, 254, 5633, 1234, 4084, 11, 548, 750, 10146, 8401, 525, 13, 11169, 1865, 35503, 565, 304, 1282, 0, 487, 1955, 5079, 254, 29201, 285, 10408, 331, 1224, 254, 19547, 26216, 4559, 13, 10397, 438, 7476, 11, 285, 254, 8670, 10114, 285, 1338, 1722, 10742, 13869, 254, 1143, 2674, 9405, 457, 837, 14518, 46049, 13, 100001, 51297, 254, 12114, 438, 7488, 11, 285, 657, 4101, 2877, 768, 29493, 285, 254, 39237, 280, 44914, 25, 1108, 7642, 372, 661, 441, 803, 4101, 279, 254, 286, 20807, 6171, 1962, 254, 4521, 280, 254, 5183, 13, 2803, 1562, 657, 2373, 276, 82181, 414, 21313, 18700, 48009, 285, 40382, 5135, 254, 5989, 280, 254, 3735, 2849, 11, 82858, 12, 6209, 279, 254, 45660, 1090, 895, 1228, 47342, 13, 100001, 2901, 36632, 0, 27617, 0, 487, 7899, 39369, 2520, 11, 64127, 4312, 276, 254, 8665, 24221, 1323, 254, 4167, 13, 207, 2901, 36632, 437, 40549, 0, 487, 1494, 745, 778, 254, 20595, 280, 10806, 862, 256, 366, 44914, 285, 73546, 279, 704, 4054, 26, 548, 5254, 279, 254, 30576, 2065, 254, 1869, 2377, 3458, 6626, 40031, 70, 1089, 11, 47286, 279, 254, 3438, 285, 11041, 280, 254, 17518, 26, 285, 362, 4586, 254, 4167, 2481, 768, 13, 9298, 280, 768, 661, 2571, 14844, 276, 586, 16356, 11, 75435, 254, 11482, 5984, 366, 704, 5931, 26, 285, 254, 3072, 52040, 857, 11, 672, 2558, 280, 254, 5030, 254, 5136, 280, 10806, 862, 256, 24302, 25, 207, 2901, 39, 5102, 11, 32483, 0, 3132, 372, 304, 463, 270, 5369, 0, 324, 3582, 525, 437, 76672, 927, 0, 2489, 1534, 304, 536, 558, 4367, 3025, 487, 2071, 12758, 254, 4167, 588, 40031, 70, 1089, 4586, 7574, 366, 586, 2116, 1297, 438, 19285, 55366, 1721, 11, 285, 745, 4435, 857, 6626, 254, 5157, 280, 254, 5183, 11, 8670, 285, 7276, 26, 245, 2156, 837, 24138, 438, 279, 586, 3545, 11, 285, 362, 4586, 245, 10237, 16356, 13, 100001, 2395, 39369, 2520, 27376, 581, 254, 5610, 11, 285, 254, 1743, 7276, 1062, 473, 857, 285, 7665, 704, 3545, 26, 327, 586, 4321, 438, 837, 254, 23581, 280, 245, 3682, 2156, 881, 245, 4426, 1810, 11, 285, 362, 2373, 366, 1228, 18519, 13, 1063, 18949, 581, 586, 1297, 11, 285, 279, 254, 1079, 19095, 11, 254, 16356, 280, 10806, 862, 256, 24698, 581, 285, 2116, 586, 24809, 285, 7276, 4435, 857, 279, 254, 25851, 280, 254, 2558, 26, 285, 10806, 862, 256, 20210, 25727, 1323, 39369, 2520, 372, 634, 31750, 13, 100001, 2901, 2640, 317, 437, 11, 601, 15332, 30, 487, 993, 254, 43424, 13, 207, 2901, 549, 10420, 280, 254, 5030, 418, 642, 6171, 327, 254, 4731, 13, 1308, 2643, 536, 1743, 6053, 1285, 279, 254, 9243, 5984, 754, 745, 317, 4429, 2527, 1323, 254, 22425, 30, 2489, 643, 769, 75425, 1865, 1236, 276, 82181, 414, 21313, 18700, 48009, 30, 487, 207, 2901, 7094, 754, 643, 254, 5157, 280, 92552, 256, 803, 3510, 510, 276, 9397, 30, 487, 993, 10806, 862, 256, 13, 207, 2901, 3171, 975, 304, 441, 2525, 601, 1377, 20595, 30, 487, 207, 2901, 2054, 975, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2395, 3072, 975, 16252, 520, 543, 11, 754, 359, 317, 4540, 276, 40549, 285, 11626, 13, 8880, 317, 520, 4278, 11, 13095, 86752, 30, 487, 207, 2901, 2450, 11012, 2383, 11, 487, 993, 10806, 862, 256, 11, 207, 2901, 60172, 11, 2571, 15200, 13, 1955, 463, 845, 245, 4043, 279, 586, 18897, 13, 1474, 3444, 521, 2786, 330, 21861, 13, 429, 5653, 643, 5985, 13, 809, 2786, 521, 614, 581, 279, 245, 1228, 4043, 11, 285, 521, 2786, 330, 9765, 13, 100001, 46151, 0, 16925, 285, 14463, 30249, 2302, 331, 254, 5409, 0, 487, 2928, 39369, 2520, 7123, 254, 40549, 344, 438, 331, 857, 26619, 344, 362, 661, 2571, 2368, 742, 11626, 30769, 11, 285, 362, 23773, 4312, 11, 366, 40031, 12, 90663, 285, 375, 12082, 246, 4435, 857, 11, 1477, 10806, 862, 256, 4366, 1062, 2645, 362, 6626, 13869, 254, 2376, 2383, 13, 1474, 745, 657, 1503, 13095, 86752, 11, 1592, 40610, 279, 586, 21405, 11, 13595, 2065, 254, 2376, 13, 10082, 438, 49709, 1090, 359, 11, 285, 1461, 521, 786, 359, 11, 285, 521, 438, 12640, 55366, 366, 6246, 11, 1236, 254, 35592, 280, 13095, 86752, 285, 254, 4831, 9389, 26, 548, 372, 2618, 642, 4043, 661, 803, 845, 276, 254, 12692, 13, 2928, 39369, 2520, 13558, 254, 6313, 344, 2762, 17508, 279, 857, 11, 1236, 372, 254, 2156, 280, 586, 1823, 438, 8628, 1090, 586, 14518, 50196, 13, 100001, 2450, 44893, 581, 331, 276, 254, 267, 15305, 1466, 11, 285, 17811, 254, 10377, 668, 24404, 362, 27376, 1224, 1310, 11, 285, 20010, 857, 5135, 254, 4167, 13, 1474, 372, 362, 1216, 558, 13095, 86752, 8065, 30005, 285, 2424, 331, 586, 4209, 279, 586, 6267, 13, 100001, 23467, 862, 256, 3805, 372, 634, 36883, 473, 245, 84971, 11, 285, 254, 24138, 7648, 279, 586, 3545, 11, 285, 362, 46039, 26, 285, 362, 993, 25, 207, 2901, 4453, 441, 1529, 601, 4278, 473, 525, 0, 1063, 8104, 327, 525, 13, 487, 207, 2901, 2450, 8104, 11, 487, 993, 39369, 2520, 11, 207, 2901, 2381, 340, 2977, 1865, 276, 857, 2618, 13, 1494, 362, 1534, 9847, 19104, 331, 254, 12100, 280, 4349, 11, 285, 6642, 1275, 359, 441, 13, 100001, 79284, 520, 697, 317, 276, 614, 636, 276, 254, 8680, 280, 520, 5183, 11, 545, 3136, 472, 395, 4796, 276, 3530, 4172, 30, 5903, 1023, 395, 441, 614, 276, 4349, 2387, 457, 2387, 30, 487, 207, 2901, 73455, 317, 441, 2028, 276, 340, 11, 89964, 280, 92552, 256, 11, 276, 1835, 254, 5064, 280, 520, 4349, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 2280, 889, 254, 53929, 27198, 11, 1090, 254, 76716, 280, 254, 17514, 8604, 11, 1216, 4117, 11, 52318, 272, 4449, 279, 13881, 285, 22553, 11, 15674, 272, 704, 20848, 276, 11535, 704, 1377, 4349, 13, 487, 2928, 9989, 1184, 254, 4167, 362, 3061, 13095, 86752, 473, 254, 27661, 2558, 285, 9835, 857, 331 ]
[ 100000, 97807, 92490, 13, 809, 543, 330, 2018, 327, 857, 853, 13595, 279, 254, 4426, 1477, 3072, 5476, 13, 487, 207, 2901, 40, 543, 2240, 427, 21313, 18923, 285, 2146, 433, 7260, 11, 487, 993, 254, 6404, 13, 207, 2901, 5490, 2786, 10502, 366, 525, 430, 3923, 1492, 13, 429, 1610, 975, 614, 366, 52334, 1752, 285, 10502, 372, 3444, 372, 657, 463, 245, 2764, 13, 487, 207, 2901, 2124, 340, 543, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2395, 1099, 521, 254, 4583, 340, 975, 276, 254, 4831, 280, 254, 17188, 11, 276, 62220, 487, 82, 20593, 0, 487, 2803, 344, 2780, 245, 13423, 7276, 855, 768, 13, 429, 6464, 44267, 4759, 276, 330, 8963, 3423, 842, 13, 23435, 280, 254, 433, 7260, 7899, 636, 11, 285, 89494, 11, 9523, 704, 7921, 2330, 704, 11991, 11, 372, 565, 276, 22628, 842, 245, 10631, 473, 2330, 25, 245, 11922, 5663, 285, 245, 27661, 6159, 7276, 331, 768, 13, 339, 1175, 272, 657, 4133, 581, 13, 338, 10999, 79573, 6775, 5079, 855, 254, 12780, 837, 245, 3438, 6788, 13, 100001, 1385, 71046, 285, 2674, 8687, 11, 15892, 430, 245, 4583, 6146, 853, 688, 5409, 280, 14901, 12, 25914, 13, 429, 7524, 90308, 1323, 359, 13, 809, 438, 5418, 13, 100001, 5490, 6626, 581, 11, 25998, 372, 18134, 13, 39369, 2520, 438, 36545, 581, 11, 586, 7921, 636, 285, 63016, 11, 19813, 11, 586, 4054, 82558, 13, 100001, 2901, 45, 1758, 3441, 133, 215, 75, 0, 487, 362, 7899, 13, 207, 2901, 549, 35332, 280, 364, 694, 256, 13, 429, 10955, 317, 2450, 27376, 2302, 11, 9609, 37134, 43745, 372, 362, 7279, 13, 52334, 1752, 5496, 857, 13, 35566, 276, 375, 12082, 246, 11, 39369, 2520, 12389, 857, 581, 279, 586, 7921, 13, 207, 2901, 2054, 2786, 1865, 366, 525, 437, 766, 11, 487, 362, 993, 13, 207, 2901, 41403, 43745, 2786, 1296, 340, 586, 57068, 13, 487, 2928, 362, 7279, 276, 254, 1810, 1066, 362, 661, 25119, 13, 37134, 43745, 6626, 745, 2571, 13, 324, 2237, 272, 254, 1760, 8870, 588, 438, 521, 586, 39932, 3246, 586, 17459, 11, 254, 43424, 88837, 2065, 254, 7569, 487, 82, 1062, 13, 52334, 1752, 18949, 375, 12082, 246, 285, 845, 857, 279, 39369, 2520, 207, 487, 82, 7921, 11, 19878, 279, 38271, 285, 31228, 13, 100001, 2901, 93816, 5342, 0, 23028, 4311, 0, 487, 7899, 39369, 2520, 13, 207, 2901, 75243, 11, 37134, 43745, 0, 487, 429, 1228, 7569, 39381, 586, 1917, 13, 3848, 21897, 9960, 1278, 11743, 279, 254, 44267, 13, 2928, 362, 88837, 4312, 11, 735, 629, 272, 254, 6039, 11, 285, 438, 5418, 837, 254, 8687, 5409, 473, 254, 14499, 13, 100001, 2901, 32, 4171, 11, 1610, 1086, 2653, 0, 487, 993, 50762, 276, 52334, 1752, 13, 207, 2901, 7516, 22503, 463, 7289, 7767, 13, 1063, 1216, 441, 1121, 276, 5476, 11, 285, 362, 4579, 276, 10502, 366, 39369, 2520, 207, 891, 285, 745, 362, 5014, 0, 11987, 280, 1435, 4540, 881, 245, 8665, 3177, 276, 2039, 1285, 327, 2647, 372, 245, 11522, 13, 487, 207, 2901, 1847, 340, 661, 803, 254, 1022, 276, 10622, 254, 35100, 863, 12, 10287, 11, 285, 441, 362, 11, 946, 744, 359, 330, 1132, 30, 487, 993, 52334, 1752, 13, 207, 2901, 2054, 1667, 463, 2368, 9507, 13, 100001, 11604, 481, 1481, 30, 1474, 1132, 359, 317, 520, 7767, 276, 1865, 366, 525, 11, 304, 5663, 13, 2803, 2561, 13, 3659, 285, 752, 4599, 11, 285, 3792, 3270, 344, 375, 12082, 246, 2116, 4435, 13, 100001, 11345, 32483, 0, 487, 8075, 254, 39584, 37134, 43745, 438, 15892, 11, 27235, 642, 48873, 285, 642, 15594, 13, 22484, 853, 274, 5064, 661, 5079, 11, 285, 657, 661, 6889, 254, 417, 6570, 280, 2128, 255, 285, 17033, 768, 13, 429, 364, 729, 280, 254, 433, 7260, 285, 895, 6159, 68487, 2762, 14518, 4435, 768, 13, 100001, 47, 12082, 246, 438, 35167, 13, 1063, 438, 6284, 11, 548, 254, 5409, 279, 586, 3059, 438, 17164, 285, 30456, 13, 1063, 438, 366, 39369, 2520, 13, 429, 20040, 280, 254, 17365, 285, 280, 254, 49255, 13423, 855, 254, 12780, 438, 44582, 11, 2012, 2116, 4435, 279, 254, 95027, 280, 254, 14499, 410, 279, 245, 9989, 6267, 13, 1063, 12419, 245, 4399, 9004, 13, 100001, 2901, 40, 1216, 441, 1006, 340, 19354, 10922, 12, 1888, 11, 39369, 2520, 11, 487, 362, 993, 13, 207, 2901, 2054, 7398, 487, 83, 245, 25449, 410, 245, 69430, 0, 487, 207, 2901, 40, 536, 441, 10502, 77937, 12, 25391, 11, 5085, 331, 37134, 43745, 11, 487, 993, 39369, 2520, 13, 100001, 2901, 2395, 37134, 43745, 543, 463, 642, 31516, 13, 1257, 536, 441, 10502, 37134, 43745, 25, 362, 317, 9807, 276, 5652, 340, 207, 891, 410, 441, 13, 1273, 362, 317, 9807, 11, 344, 317, 2527, 13, 809, 317, 937, 586, 2105, 276, 1019, 344, 340, 4512, 331, 586, 1062, 11, 6838, 340, 12717, 842, 881, 254, 3207, 13, 487, 207, 2901, 2819, 4311, 317, 362, 1872, 30, 487, 3637, 375, 12082, 246, 13, 207, 2901, 31050, 457, 254, 5409, 11, 548, 1079, 6799, 13, 1308, 946, 2156, 586, 4414, 35364, 418, 0, 487, 207, 2901, 2450, 317, 3268, 1132, 372, 4311, 372, 254, 18847, 371, 7569, 1027, 70473, 11, 487, 7589, 39369, 2520, 26, 207, 2901, 2381, 344, 317, 441, 4311, 327, 857, 13, 429, 3114, 317, 12698, 245, 557, 254, 677, 369, 71, 8237, 639, 24079, 837, 3438, 68487, 13, 809, 543, 441, 330, 1234, 1323, 395, 5934, 254, 41654, 16672, 285, 1865, 276, 254, 1987, 11244, 12, 1651, 6182, 11, 1066, 254, 8680, 438, 19556, 984, 16919, 4084, 13, 487, 375, 12082, 246, 438, 13117, 1310, 327, 245, 1477, 13, 1063, 4101, 39369, 2520, 17003, 26380, 276, 3177, 11, 94676, 8749, 4505, 66511, 280, 55893, 279, 1313, 51773, 11, 372, 254, 6593, 7279, 1090, 768, 13, 2803, 1562, 254, 43424, 5079, 881, 245, 5654, 280, 588, 254, 38501, 3390, 9317, 254, 3073, 25, 245, 1860, 4303, 2373, 3662, 276, 586, 14501, 1184, 254, 32907, 280, 254, 5409, 25, 33337, 15007, 285, 8670, 27198, 14863, 2602, 1853, 11, 2461, 4832, 657, 473, 254, 1503, 1883, 3114, 8075, 254, 21897, 5532, 30, 32273, 7524, 285, 7960, 18134, 1308, 634, 3682, 5330, 13, 100001, 2901, 2640, 418, 340, 5366, 11, 39369, 2520, 3025, 487, 3637, 375, 12082, 246, 13, 100001, 2901, 40, 438, 953, 3268, 855, 742, 280, 254, 15298, 37855, 280, 25618, 279, 601, 2764, 11, 487, 7589, 254, 43424, 13, 207, 2901, 39, 659, 11834, 11, 304, 8259, 11, 463, 15503, 768, 11, 1236, 1462, 344, 657, 2647, 4437, 13, 487, 207, 2901, 3233, 11, 441, 521, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2280, 395, 463, 1313, 280, 769, 1377, 11, 588, 7358, 487, 83, 2190, 340, 11, 5216, 13, 1474, 304, 463, 1866, 4101, 437, 634, 13, 2461, 317, 359, 786, 207, 891, 254, 7960, 7524, 285, 7960, 18134, 30, 487, 207, 2901, 13664, 254, 5609, 401, 21313, 18700, 369, 280, 254, 23555, 280, 9320, 11, 487, 993, 39369, 2520, 13, 100001, 2901, 2280, 856, 418, 657, 30, 487, 207, 2901, 549, 1210, 7195, 344, 588, 4716, 2367, 2302, 13, 429, 35100, 863, 12, 10287, 438, 634, 13, 487, 207, 2901, 4631, 359, 438, 441, 1401, 11, 441, 1401, 487, 207, 891, 375, 12082, 246, 37247, 207, 891, 207, 2901, 1956, 254, 75425, 30, 487, 207, 2901, 3233, 11, 487, 993, 39369, 2520, 13, 207, 2901, 27322, 457, 10898, 8379, 13, 809, 317, 5897, 586, 2460, 11, 285, 5897, 9501, 60100, 487, 82, 1653, 13, 429, 5609, 401, 21313, 18700, 369, 2373, 473, 5897, 12732, 49877, 11, 473, 30599, 23687, 13, 429, 461, 843, 256, 1401, 768, 13, 7157, 124, 101, 37952, 3177, 11, 6642, 11, 35386, 768, 11, 279, 2507, 558, 1234, 4084, 344, 254, 766, 2977, 330, 9878, 279, 1555, 13, 1474, 745, 317, 3011, 344, 9501, 60100, 2977, 1947, 276, 11626, 5131, 13, 100001, 60345, 327, 10898, 8379, 0, 809, 438, 586, 80931, 11, 372, 304, 1132, 28725, 13, 3053, 296, 625, 276, 450, 521, 418, 254, 6211, 280, 274, 2460, 16244, 853, 395, 8057, 9856, 13, 11169, 362, 1534, 8982, 254, 18449, 13, 66565, 0, 276, 2240, 359, 6486, 11, 327, 586, 1377, 13518, 13, 100001, 3233, 1734, 1216, 362, 2647, 3753, 280, 359, 276, 688, 280, 254, 9288, 13, 1003, 661, 441, 2618, 2028, 2215, 276, 254, 17196, 280, 254, 5609, 401, 21313, 18700, 369, 280, 92552, 256, 279, 895, 22204, 625, 27770, 13, 3563, 10889, 657, 778, 3308, 15503, 13, 6809, 279, 92552, 256, 657, 778, 245, 6486, 3185, 889, 276, 245, 1860, 26, 279, 1576, 18382, 657, 778, 16663, 889, 384, 35543, 430, 3442, 9789, 276, 558, 1313, 4313, 11, 285, 3860, 12, 6209, 946, 1234, 359, 744, 1562, 13, 100001, 2901, 1898, 1019, 2367, 842, 11, 285, 276, 43984, 279, 2215, 366, 634, 1913, 11, 487, 993, 39369, 2520, 13, 207, 2901, 774, 344, 1143, 657, 1234, 44484, 285, 24394, 254, 26210, 280, 92552, 256, 13, 1955, 845, 581, 64465, 430, 4302, 281, 1640, 256, 11, 285, 430, 4302, 281, 94921, 296, 11, 285, 430, 35100, 863, 279, 254, 7987, 280, 2128, 1227, 494, 13, 429, 8037, 285, 5738, 280, 1069, 438, 1090, 254, 80929, 280, 29969, 430, 508, 7644, 5187, 511, 1323, 895, 22204, 13, 429, 1853, 3072, 778, 2367, 2302, 279, 254, 5226, 13, 685, 254, 2558, 280, 1473, 81, 1089, 359, 317, 3542, 344, 657, 778, 430, 1640, 3009, 21313, 1521, 281, 11, 285, 338, 2321, 7641, 133, 215, 75, 11, 285, 1473, 409, 296, 487, 82, 17365, 438, 331, 254, 25943, 23103, 344, 1068, 5135, 364, 349, 75, 1089, 279, 254, 28311, 280, 413, 3122, 1066, 254, 14518, 15007, 9279, 13, 100001, 2901, 10005, 5609, 401, 21313, 18700, 81, 8137, 276, 1319, 11, 548, 521, 1462, 279, 92552, 256, 778, 2647, 1721, 276, 254, 2343, 280, 508, 7644, 5187, 511, 13, 4201, 359, 6266, 344, 11, 372, 254, 6796, 280, 35100, 863, 643, 366, 8321, 254, 38237, 280, 766, 11, 558, 745, 254, 5609, 401, 21313, 18700, 81, 280, 344, 18972, 643, 10471, 13, 1474, 5254, 359, 1027, 536, 3011, 548, 1019, 1760, 5282, 280, 2012, 2367, 842, 285, 2507, 9409, 13, 15429, 5629, 11, 642, 5914, 11, 344, 438, 276, 10898, 8379, 26, 2618, 359, 3354, 344, 362, 438, 441, 3093, 13, 10327, 285, 3572, 17970, 362, 32182, 11, 2645, 362, 4733, 586, 24529, 2065, 4643, 308, 12, 678, 133, 215, 428, 13, 2928, 362, 438, 9317, 0, 207, 2901, 11604, 7466, 1066, 254, 4739, 64465, 280, 1576, 18382, 285, 92552, 256, 1132, 9279, 11, 19268, 11, 410, 45257, 4399, 30, 1474, 634, 430, 2754, 9501, 60100, 1534, 463, 5340, 285, 59407, 276, 586, 9993, 13, 304, 6384, 344, 359, 438, 254, 94921, 296, 12, 10287, 11, 327, 362, 3061, 4302, 281, 94921, 296, 1234, 4084, 285, 4540, 359, 881, 274, 11626, 1810, 25, 4302, 281, 74253, 341, 11, 359, 643, 3261, 13, 100001, 2901, 39317, 359, 317, 1132, 276, 6384, 946, 5397, 254, 813, 3562, 6011, 280, 10898, 8379, 438, 33137, 285, 4586, 26, 285, 946, 2647, 1962, 362, 643, 803, 38337, 473, 60144, 11, 285, 7341, 23090, 754, 68632, 744, 441, 5043, 13, 429, 270, 2678, 2683, 11, 254, 64012, 1090, 254, 44603, 487, 82, 4414, 11, 254, 44742, 279, 245, 10586, 3779, 0, 1724, 1234, 11, 304, 3860, 11, 643, 362, 803, 26746, 276, 1865, 2752, 276, 586, 6696, 327, 20755, 285, 12244, 11, 285, 254, 35100, 863, 12, 10287, 558, 18261, 5135, 4643, 308, 12, 678, 133, 215, 81, 344, 11, 565, 688, 4617, 245, 543, 280, 78135, 401, 1132, 4716, 881, 359, 11, 359, 543, 8982, 586, 2764, 285, 7702, 35503, 44081, 30, 1308, 946, 359, 24259, 634, 276, 3964, 2081, 10351, 304, 441, 4749, 359, 30, 6809, 1132, 601, 2997, 25372, 276, 1727, 601, 543, 2065, 359, 11, 276, 1019, 565, 304, 1027, 441, 66481, 359, 473, 857, 285, 1947, 359, 1066, 304, 744, 207, 891, 276, 1068, 3246, 254, 5505, 27094, 280, 2354, 285, 280, 766, 276, 41821, 277, 254, 13421, 11, 285, 28725, 254, 96858, 510, 1297, 285, 2764, 280, 7157, 124, 101, 37952, 430, 704, 830, 11, 1477, 1572, 254, 7883, 18340, 285, 254, 19778, 778, 279, 15583, 0, 487, 1063, 34456, 285, 7276, 13117, 13, 100001, 2901, 40, 4796, 304, 661, 3185, 521, 437, 1323, 11, 487, 993, 375, 12082, 246, 13, 207, 2901 ]
[ 100000, 52339, 13, 429, 13108, 7279, 6044, 430, 1562, 11, 581, 274, 79415, 26, 285, 430, 254, 1225, 11, 5505, 1721, 11, 778, 1228, 4974, 11394, 11, 5881, 3748, 276, 4399, 44109, 2367, 2877, 254, 1461, 27250, 280, 254, 18972, 13, 47183, 254, 2489, 5508, 366, 704, 18953, 661, 5079, 4650, 13, 100001, 38, 22793, 361, 285, 1783, 361, 6452, 778, 10894, 3345, 254, 8364, 13, 100001, 22407, 4101, 245, 13326, 280, 70308, 17003, 11, 998, 2728, 280, 44055, 285, 95975, 280, 307, 25572, 11, 245, 49255, 43271, 416, 13, 452, 22793, 361, 285, 1783, 361, 6452, 778, 2571, 331, 254, 12100, 13, 100001, 22407, 58062, 285, 6243, 1747, 900, 272, 11, 548, 586, 1585, 5136, 438, 45257, 279, 254, 45571, 13, 2366, 634, 35871, 271, 857, 13, 100001, 549, 1228, 11394, 78253, 276, 13, 61897, 13, 429, 14643, 280, 8752, 7276, 881, 1810, 4650, 13, 1861, 673, 13, 429, 8364, 438, 7574, 13, 7421, 65841, 3177, 2481, 254, 81546, 92380, 21180, 285, 7276, 76660, 276, 254, 3419, 13, 1063, 438, 636, 279, 254, 16342, 13, 21675, 2860, 438, 13260, 548, 3443, 457, 254, 75425, 13, 27024, 207, 16, 31168, 3156, 323, 4720, 9757, 375, 12082, 246, 4133, 636, 473, 254, 20873, 280, 39369, 2520, 207, 487, 82, 38271, 13, 1063, 21517, 565, 362, 438, 28183, 410, 1592, 17483, 11, 1592, 279, 254, 18847, 12, 39995, 6267, 279, 588, 362, 661, 803, 19878, 558, 1234, 1962, 254, 1228, 10502, 4732, 13, 429, 4426, 1843, 438, 32907, 457, 285, 254, 5409, 19544, 40776, 279, 586, 14501, 13, 1063, 1027, 1019, 3011, 548, 254, 11712, 272, 7524, 11, 285, 2302, 276, 586, 1329, 10999, 25851, 2481, 254, 9539, 1066, 254, 14499, 280, 254, 5178, 33378, 2882, 13, 27682, 1214, 362, 3657, 276, 35442, 254, 2602, 285, 15848, 280, 704, 8398, 11, 548, 586, 4887, 438, 68092, 88, 285, 9242, 13, 100001, 2960, 661, 803, 254, 1022, 10502, 430, 12906, 4583, 1673, 245, 24697, 11, 285, 937, 279, 254, 23608, 362, 661, 2826, 245, 14211, 53353, 280, 5299, 11, 285, 657, 661, 1865, 276, 254, 13117, 4660, 285, 254, 1228, 7137, 2558, 331, 254, 12967, 13, 1308, 10983, 661, 657, 6889, 895, 20873, 754, 254, 79573, 13423, 661, 5079, 855, 2561, 1310, 11, 285, 1743, 42601, 271, 366, 5663, 13, 1474, 39369, 2520, 661, 13451, 2838, 3073, 276, 857, 11, 285, 362, 661, 25119, 279, 245, 8089, 11, 13400, 548, 45616, 11, 66456, 6737, 280, 385, 791, 285, 614, 791, 285, 280, 1743, 6807, 285, 39369, 2520, 5749, 9162, 13, 1308, 937, 1310, 17040, 11, 17040, 279, 254, 2653, 13, 100001, 1567, 438, 254, 1864, 11, 642, 11, 254, 4443, 2653, 1962, 362, 661, 4133, 279, 254, 17365, 13, 1308, 366, 344, 49255, 4887, 362, 33734, 5595, 11, 285, 90055, 11, 285, 254, 6565, 280, 254, 5409, 5322, 8148, 366, 85267, 18887, 13, 100001, 32, 2156, 78293, 279, 254, 9539, 11, 245, 48408, 280, 10421, 4043, 4435, 4426, 3253, 12, 4397, 408, 13, 375, 12082, 246, 13917, 1883, 1062, 11, 10297, 327, 245, 2780, 11, 11978, 881, 856, 27723, 3085, 39369, 2520, 438, 17090, 857, 13, 1063, 47501, 586, 3545, 11, 285, 937, 362, 3505, 344, 359, 438, 254, 12780, 12698, 2330, 254, 23535, 25851, 11, 1132, 3308, 430, 254, 2201, 13, 2086, 254, 2653, 438, 441, 2618, 1712, 285, 327, 3821, 254, 4426, 8398, 744, 614, 331, 13, 1063, 38087, 285, 8921, 13, 100001, 2901, 9595, 418, 395, 11, 39369, 2520, 3025, 487, 362, 3637, 13, 100001, 2901, 774, 254, 26210, 280, 92552, 256, 11, 487, 254, 43424, 7589, 13, 207, 2901, 549, 3114, 280, 1640, 78, 21313, 19646, 317, 1592, 9989, 457, 13, 487, 2071, 438, 245, 12114, 1310, 327, 245, 1477, 13, 2928, 11, 207, 2901, 2640, 317, 344, 30, 487, 7899, 375, 12082, 246, 8963, 11, 41390, 272, 430, 39369, 2520, 207, 487, 82, 38271, 13, 207, 2901, 9610, 0, 11365, 11, 3074, 4043, 0, 6475, 745, 63323, 279, 437, 3114, 30, 8967, 11, 745, 317, 1913, 0, 487, 1494, 3510, 39369, 2520, 7899, 30294, 276, 586, 7569, 13, 207, 2901, 2921, 11, 37134, 43745, 0, 1003, 1534, 65354, 13, 6930, 317, 2577, 13, 5129, 0, 429, 330, 54435, 280, 92552, 256, 418, 96064, 11, 9609, 327, 10731, 13, 6368, 317, 78293, 13, 5129, 11, 745, 317, 254, 4043, 331, 338, 2321, 414, 133, 215, 18700, 77, 11, 285, 24138, 331, 427, 296, 255, 683, 26, 285, 745, 657, 614, 58929, 11348, 25, 461, 494, 314, 11, 427, 3800, 281, 11, 4302, 12, 49, 309, 2321, 11, 3720, 255, 5728, 11, 285, 254, 19002, 351, 348, 2008, 331, 254, 26922, 247, 18949, 581, 586, 1917, 285, 442, 35636, 13, 1308, 636, 280, 254, 16342, 254, 25818, 5345, 280, 750, 11549, 2373, 26, 285, 20737, 254, 288, 484, 4838, 280, 78654, 438, 4101, 11, 285, 1853, 33819, 24671, 581, 285, 5079, 837, 15892, 46049, 279, 254, 12780, 285, 35638, 881, 254, 5653, 13, 2928, 37134, 43745, 15629, 3177, 2854, 285, 27376, 2302, 11, 285, 254, 2653, 51486, 855, 857, 837, 245, 54613, 5409, 13, 100001, 47, 12082, 246, 5322, 68092, 88, 1310, 285, 6972, 1585, 5379, 276, 39369, 2520, 11051, 857, 280, 254, 29146, 280, 92552, 256, 11, 285, 946, 254, 5157, 280, 254, 5183, 661, 330, 54435, 4930, 331, 254, 26405, 280, 636, 6061, 17188, 2726, 1572, 26922, 280, 254, 1228, 3169, 11, 285, 16162, 10105, 430, 1069, 3487, 1066, 5583, 11549, 778, 1958, 279, 42757, 276, 8982, 586, 58205, 12, 3736, 408, 276, 50316, 261, 279, 254, 5226, 11, 410, 276, 48781, 79102, 279, 254, 5178, 13, 207, 2901, 1385, 317, 1234, 1962, 254, 330, 54435, 280, 254, 5226, 778, 11769, 11, 487, 362, 993, 26, 207, 2901, 384, 279, 254, 10641, 2507, 280, 92552, 256, 657, 778, 441, 4067, 11, 327, 657, 661, 254, 32273, 64465, 13, 487, 375, 12082, 246, 38087, 96957, 13, 100001, 2901, 42292, 1310, 11, 285, 536, 441, 330, 10297, 0, 487, 993, 39369, 2520, 13, 207, 2901, 1988, 340, 418, 441, 1872, 837, 21675, 2860, 276, 364, 694, 256, 11, 548, 276, 4302, 281, 41821, 349, 11, 285, 745, 340, 543, 330, 372, 5730, 372, 340, 481, 330, 10279, 279, 1069, 2507, 13, 1273, 92552, 256, 15300, 11, 410, 254, 26500, 317, 3443, 11, 937, 254, 1783, 641, 543, 330, 642, 20557, 13, 487, 207, 2901, 2054, 536, 441, 5186, 525, 11, 487, 993, 375, 12082, 246, 11, 548, 39786, 5476, 39262, 855, 857, 13, 429, 1562, 2421, 344, 362, 16663, 1323, 362, 7276, 881, 4399, 6267, 438, 245, 30716, 280, 1461, 3682, 24079, 11, 70673, 272, 837, 17864, 317, 878, 2330, 254, 16785, 372, 657, 9317, 254, 2156, 280, 254, 259, 12651, 272, 12780, 13, 100001, 2450, 21517, 1066, 21675, 2860, 438, 11, 285, 565, 362, 438, 2571, 279, 364, 694, 256, 11, 410, 565, 362, 438, 5030, 26, 285, 362, 1216, 441, 1006, 344, 21675, 2860, 473, 2367, 2302, 4133, 331, 344, 1246, 12780, 372, 359, 845, 5897, 92552, 256, 31076, 254, 4321, 280, 254, 1492, 13, 100001, 47, 12082, 246, 33734, 276, 254, 3066, 280, 18887, 13, 11727, 1492, 280, 25103, 285, 245, 2653, 280, 8398, 661, 19093, 271, 457, 13, 809, 438, 45660, 25, 254, 6159, 23608, 438, 430, 1297, 1310, 11, 285, 28599, 14518, 95027, 778, 786, 768, 13, 37134, 43745, 6626, 78920, 366, 27282, 11, 548, 362, 4586, 586, 10225, 35846, 285, 7363, 642, 1472, 280, 77774, 13, 8410, 8670, 1743, 16917, 25985, 8910, 6626, 13869, 857, 11, 285, 4435, 768, 279, 254, 6389, 645, 20200, 245, 4239, 280, 8665, 13, 4386, 326, 22204, 625, 359, 4759, 11, 548, 2571, 1323, 254, 2653, 438, 5079, 254, 3066, 280, 22534, 20128, 1027, 330, 4101, 25, 8896, 280, 49399, 408, 11, 497, 796, 280, 244, 730, 1291, 11, 285, 254, 1267, 559, 280, 20532, 13, 7456, 3250, 285, 70178, 91124, 263, 25871, 1285, 285, 745, 279, 254, 27464, 13, 39369, 2520, 438, 9034, 276, 254, 1743, 344, 59675, 586, 1143, 11, 285, 372, 362, 19240, 375, 12082, 246, 5322, 6737, 344, 362, 3177, 438, 1435, 9147, 13, 100001, 2901, 58676, 8099, 11, 395, 1006, 340, 11, 364, 349, 21192, 348, 11, 487, 993, 254, 10164, 280, 254, 1743, 11, 207, 2901, 384, 340, 1006, 254, 1452, 12, 10422, 280, 254, 32273, 42166, 285, 418, 2094, 276, 43321, 384, 430, 437, 766, 11, 6838, 657, 330, 18995, 1743, 280, 7921, 279, 4318, 6830, 285, 1345, 395, 481, 5442, 13, 487, 207, 2901, 40, 543, 74450, 327, 857, 1323, 254, 9888, 280, 10806, 862, 256, 11, 487, 993, 39369, 2520, 13, 100001, 2901, 2280, 372, 327, 90689, 11, 344, 2977, 330, 13637, 457, 61204, 13, 1063, 643, 5079, 1184, 691, 29244, 285, 77643, 853, 340, 463, 11, 685, 26359, 11, 2451, 340, 330, 9682, 586, 5484, 26, 285, 362, 3450, 1132, 473, 254, 10955, 272, 280, 2128, 1227, 494, 11, 280, 588, 395, 8982, 58285, 11, 285, 1228, 77774, 317, 331, 857, 11, 410, 304, 744, 15511, 857, 13, 3848, 1210, 317, 13757, 97807, 11, 245, 1079, 60851, 668, 13, 487, 207, 2901, 3856, 30, 487, 993, 685, 26359, 16677, 10009, 11, 285, 254, 3072, 14032, 13, 100001, 2901, 3856, 0, 487, 7899, 375, 12082, 246, 11, 1132, 16523, 46850, 13, 207, 2901, 3856, 0, 13788, 441, 0, 304, 608, 245, 38501, 3390, 285, 642, 691, 60851, 853, 304, 608, 245, 668, 11, 4617, 5216, 1132, 285, 1310, 457, 17808, 13, 3132, 441, 1632, 39369, 2520, 51347, 340, 0, 487, 207, 2901, 11562, 245, 536, 250, 280, 1228, 31977, 1667, 1481, 642, 691, 11, 487, 993, 685, 26359, 13, 207, 2901, 2395, 856, 317, 245, 38501, 3390, 30, 487, 207, 2901, 32, 25309, 2237, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 38157, 11, 441, 254, 634, 344, 438, 13451, 280, 11, 487, 362, 3746, 7123, 254, 3860, 279, 254, 1743, 487, 82, 12472, 13, 207, 2901, 3647, 362, 11, 2618, 634, 280, 586, 60605, 13, 487, 207, 2901, 5661, 11, 285, 634, 779, 8398, 271, 366, 857, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2280, 15364, 283, 348, 280, 520, 5183, 438, 366, 450, 11, 285, 362, 9638, 525, 279, 254, 8485, 82, 280, 254, 5226, 11, 285, 430, 254, 1562, 362, 438, 38251, 36720, 525, 473, 1313, 48648, 13, 487, 207, 2901, 64905, 0, 487, 993, 39369, 2520, 13, 207, 2901, 549, 4921, 280, 344, 20110, 1023, 463, 803, 3542, 1022, 276, 254, 4209, 13, 487, 207, 2901, 1385, 643, 803, 35375, 2571, 11, 487, 993, 685, 26359, 26, 207, 2901, 1467, 745, 463, 803, 8387, 2259, 713, 1285, 280, 5189, 13, 1474, 1452, 331, 1132, 5397, 0, 1494, 254, 5157, 280, 4302, 281, 41821, 349, 543, 330, 14160, 276, 1019, 688, 344, 8982, 254, 5901, 58285, 280, 586, 4278, 11, 330, 362, 668, 410, 16324, 487, 207, 2901, 39, 659, 3390, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 29176, 2418, 481, 304, 3685, 276, 520, 15332, 11, 548, 856, 304, 481, 536, 11, 304, 744, 536, 11, 38151, 15364, 283, 348, 254, 18127, 13, 487, 207, 2901, 93816, 340, 1136, 0, 487, 993, 685, 26359, 26, 285, 254, 1743, 1401, 1143, 327, 37134, 43745, 11, 285, 362, 5079, 1184, 245, 9745, 8364, 279, 254, 4239, 13, 207, 2901, 8894, 340, 3792, 1207, 15521, 276, 10806, 862, 256, 279, 586, 933, 11, 285, 276, 450, 521, 11, 364, 349, 21192, 348, 0, 487, 685, 26359, 7899, 13, 207, 2901, 2395, 340, 1865, 366, 58285, 280, 20110, 285, 7082, 11, 372, 317, 520, 25395, 11, 657, 1481, 13, 487, 207, 2901, 13775, 304, 1865, 24496, 548, 754, 601, 1345, 317, 4067, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 2280, 372, 327, 15521, 11, 276, 340, 304, 744, 1481, 344, 340, 418, 855, 12, 12407, 279, 48034, 254, 4239, 280, 254, 19798, 3926, 256, 13, 92118, 543, 1132, 330, 520, 1608, 22782, 2481, 254, 10955, 344, 317, 430, 1297, 207, 891, 344, 285, 1108, 3655, 372, 304, 3792, 13, 1494, 441, 521, 254, 58285, 344, 304, 3792, 418, 11626, 13, 1474, 4283, 520, 244, 730, 1291, 285, 65653, 520, 44914, 0, 487, 207, 2901, 549, 830, 543, 330, 7370, 31076, 6787, 11, 487, 993, 685, 26359, 13, 207, 2901, 1567, 317, 254, 1562, 10251, 280, 254, 4239, 276, 330, 1957, 279, 22782, 25, 254, 2754, 1721, 276, 4860, 11, 327, 359, 4716, 5135, 769, 3997, 280, 50316, 261, 13, 3132, 340, 1006, 65768 ]
[ 100000, 34237, 581, 254, 25943, 276, 254, 5157, 280, 254, 26500, 86, 402, 349, 82, 11, 285, 1132, 327, 1234, 1555, 359, 661, 803, 4586, 457, 11626, 2012, 13, 5512, 586, 972, 276, 364, 694, 256, 11, 9501, 60100, 661, 1503, 359, 5629, 26, 327, 362, 661, 1860, 20595, 548, 1313, 21209, 280, 5663, 11, 285, 1592, 895, 8037, 5487, 372, 280, 1712, 438, 276, 5120, 10778, 473, 364, 694, 256, 13, 15062, 565, 274, 9470, 778, 558, 41608, 372, 276, 1682, 276, 5223, 344, 3114, 39841, 11, 937, 359, 438, 839, 245, 1562, 5211, 4102, 272, 6839, 2481, 688, 344, 1667, 1452, 254, 85674, 280, 74253, 341, 285, 280, 22939, 659, 13, 100001, 11723, 1653, 7765, 7421, 3505, 946, 30967, 359, 744, 330, 327, 857, 276, 31279, 1224, 1090, 1462, 1313, 12, 32078, 9906, 285, 1452, 254, 71504, 8364, 13, 100001, 2280, 1236, 565, 362, 1216, 558, 11, 362, 1027, 441, 614, 2367, 331, 254, 44484, 4559, 5897, 25, 441, 1236, 254, 3438, 25851, 11, 13595, 4399, 1066, 254, 3074, 23191, 1027, 441, 5934, 11, 744, 16352, 857, 1234, 473, 254, 2653, 12, 32078, 410, 5508, 13, 100001, 2395, 23872, 372, 344, 4559, 1667, 330, 11, 586, 5266, 438, 1132, 2367, 9507, 25, 441, 276, 4945, 254, 8364, 285, 10778, 11, 548, 276, 5223, 359, 11, 5254, 13, 100001, 11126, 2215, 4540, 276, 254, 26500, 11, 548, 745, 438, 642, 5186, 745, 11, 889, 14489, 285, 7082, 13, 2366, 19026, 661, 362, 1865, 279, 7702, 280, 7408, 78521, 11, 15200, 2367, 2302, 11, 853, 362, 438, 6737, 280, 245, 2262, 279, 586, 18953, 13, 100001, 2124, 359, 12419, 3345, 254, 1228, 6874, 2265, 1066, 11, 279, 254, 315, 2057, 280, 766, 11, 359, 661, 803, 24277, 285, 59739, 11, 254, 26500, 487, 82, 1823, 10318, 11, 285, 359, 5322, 691, 7276, 11, 21588, 471, 510, 4617, 457, 742, 18995, 543, 13, 1733, 7421, 6626, 745, 11, 1236, 2451, 254, 26500, 438, 441, 331, 857, 548, 16608, 457, 895, 8369, 786, 586, 994, 364, 694, 256, 13, 1063, 4749, 344, 362, 661, 473, 1132, 331, 889, 984, 11158, 25, 276, 76206, 254, 26500, 11, 2451, 359, 744, 42018, 857, 26, 410, 276, 4351, 359, 11, 285, 8919, 254, 8604, 344, 2659, 279, 895, 4426, 2785, 5897, 254, 17432, 280, 25851, 13, 47183, 254, 26500, 34638, 857, 11, 87983, 272, 430, 586, 543, 285, 2806, 13, 15944, 92782, 23548, 279, 586, 2764, 26, 285, 362, 3505, 7421, 3740, 254, 29820, 11, 24825, 280, 254, 20169, 11, 1406, 3645, 366, 245, 62948, 16356, 3246, 254, 63125, 3114, 11, 285, 35546, 32141, 272, 276, 586, 1282, 372, 362, 33378, 276, 254, 63230, 280, 4643, 308, 12, 678, 133, 215, 81, 13, 1308, 937, 521, 254, 16785, 19178, 2302, 11, 285, 254, 3682, 4281, 34597, 11, 285, 430, 586, 2525, 254, 70140, 280, 73740, 256, 1034, 5322, 245, 8324, 280, 10252, 285, 7636, 285, 4832, 8188, 9606, 13, 1063, 661, 889, 276, 1957, 331, 254, 26500, 285, 4351, 359, 327, 586, 1377, 11, 285, 521, 437, 1027, 330, 13, 100001, 774, 344, 5064, 280, 10075, 359, 438, 254, 2126, 280, 586, 5738, 344, 8579, 1094, 276, 2785, 857, 6174, 26, 548, 839, 4399, 1224, 279, 857, 8663, 1592, 46614, 91914, 586, 8800, 38501, 3390, 12, 29623, 25, 362, 4437, 279, 254, 6906, 280, 586, 2997, 344, 362, 438, 441, 2317, 2527, 276, 8982, 1108, 245, 18953, 11, 1236, 565, 1108, 42993, 778, 441, 245, 12596, 42357, 276, 24676, 857, 13, 429, 634, 1760, 8324, 280, 245, 2094, 64319, 438, 521, 586, 933, 285, 3266, 11, 441, 245, 8324, 57276, 276, 245, 26210, 26, 586, 1377, 4054, 276, 938, 11, 441, 254, 4054, 280, 3072, 276, 2525, 13, 100001, 2901, 2280, 12344, 521, 1069, 32732, 418, 889, 245, 11311, 11, 487, 362, 993, 276, 3177, 13, 100001, 2901, 2450, 487, 67, 7056, 525, 285, 13917, 525, 11, 1323, 304, 1027, 558, 1266, 372, 14581, 636, 13, 100001, 2450, 487, 67, 7056, 525, 11, 4245, 3399, 11, 565, 304, 1957, 254, 26500, 331, 1132, 11, 279, 364, 694, 256, 13, 100001, 6636, 11, 521, 304, 481, 1481, 317, 25, 2012, 1068, 372, 30967, 372, 245, 27590, 279, 13336, 13, 4983, 754, 1435, 25764, 744, 330, 1921, 5629, 11, 304, 481, 487, 83, 938, 254, 26500, 0, 1308, 565, 2647, 304, 752, 688, 3572, 11, 359, 487, 82, 1872, 276, 330, 3011, 548, 245, 10504, 285, 245, 18953, 1131, 3458, 13, 2086, 856, 487, 82, 276, 330, 2368, 30, 487, 1063, 438, 441, 1921, 279, 688, 5914, 13, 1063, 4437, 344, 362, 1534, 614, 1224, 276, 254, 8364, 285, 441, 51334, 688, 691, 13, 2991, 245, 93403, 280, 586, 17459, 11, 372, 565, 276, 22689, 842, 254, 13423, 285, 18363, 254, 1117, 401, 5932, 11, 362, 4732, 9405, 276, 17331, 13, 2991, 1319, 3458, 362, 4759, 276, 56975, 13, 1063, 661, 441, 5418, 2367, 1323, 362, 661, 77349, 1310, 276, 245, 1079, 1760, 285, 27822, 38501, 3390, 13, 1063, 438, 1132, 9989, 1090, 254, 1079, 9906, 280, 254, 25943, 11, 285, 254, 29493, 285, 7642, 280, 13286, 1027, 330, 4101, 366, 586, 1048, 2269, 14501, 13, 100001, 3567, 254, 2780, 254, 6565, 4759, 276, 330, 4321, 473, 254, 6518, 4435, 254, 12881, 4239, 13, 100001, 22407, 438, 786, 3222, 1143, 1224, 254, 3088, 754, 636, 280, 254, 4426, 27521, 881, 254, 3074, 23191, 745, 2373, 984, 410, 5508, 3268, 13, 1955, 1216, 441, 1947, 5135, 857, 13, 1955, 778, 2883, 327, 254, 1969, 4559, 26, 548, 1236, 372, 657, 7279, 657, 38950, 285, 7276, 276, 254, 3419, 285, 2762, 1592, 13, 7421, 661, 2826, 642, 25698, 11, 548, 362, 35375, 344, 254, 410, 5508, 661, 803, 7468, 1224, 457, 3072, 331, 254, 8680, 1180, 410, 8628, 279, 254, 13423, 280, 254, 8364, 13, 14258, 13888, 5144, 11, 1673, 245, 14788, 410, 64902, 11, 276, 855, 57017, 12707, 837, 32817, 5610, 13, 429, 8364, 438, 254, 889, 1143, 13, 100001, 2450, 39262, 331, 26, 285, 372, 362, 2674, 362, 21517, 946, 1313, 410, 5508, 8663, 279, 254, 25943, 366, 1783, 361, 6452, 11, 285, 946, 1313, 452, 22793, 361, 661, 11, 285, 856, 657, 778, 89295, 272, 786, 11, 565, 344, 438, 856, 438, 12058, 13, 1783, 361, 6452, 487, 82, 2607, 661, 4759, 276, 330, 786, 17205, 11, 285, 452, 22793, 361, 487, 82, 691, 853, 9682, 372, 2317, 26, 548, 280, 2629, 1783, 361, 6452, 487, 82, 43563, 661, 889, 803, 245, 697, 280, 586, 44522, 13, 33780, 6062, 657, 778, 89295, 272, 786, 21675, 2860, 11, 285, 254, 34519, 13, 1494, 245, 1864, 7421, 41639, 11, 327, 8963, 2012, 4759, 3662, 276, 857, 11, 3308, 372, 565, 362, 661, 2826, 768, 366, 586, 3545, 13, 429, 273, 349, 8474, 14459, 0, 4947, 2629, 11, 21675, 2860, 438, 13844, 359, 11, 285, 657, 744, 1275, 359, 13, 1308, 473, 856, 7421, 661, 4101, 452, 22793, 361, 744, 92544, 359, 13, 1474, 254, 9162, 280, 254, 17514, 25943, 778, 430, 1828, 21675, 2860, 487, 82, 889, 8244, 11, 285, 565, 657, 778, 845, 12159, 11, 21675, 2860, 1667, 330, 9571, 636, 280, 1297, 430, 688, 2780, 13, 100001, 2901, 17095, 331, 11, 340, 25758, 60207, 494, 0, 487, 7421, 7899, 276, 3177, 13, 207, 2901, 4388, 327, 359, 0, 487, 1063, 12419, 900, 272, 285, 7279, 5135, 254, 1721, 8364, 13, 1474, 953, 372, 362, 438, 786, 276, 1452, 1090, 895, 1228, 3949, 362, 4749, 245, 11163, 25, 372, 565, 362, 661, 1409, 881, 742, 3779, 837, 22939, 659, 487, 82, 11, 889, 25764, 13, 1063, 1027, 1019, 642, 33672, 11, 548, 1874, 1653, 2955, 327, 586, 543, 276, 16988, 59675, 254, 1143, 13, 1063, 4133, 786, 11, 285, 937, 2383, 254, 13423, 280, 254, 8364, 362, 3505, 254, 9298, 20316, 17994, 13, 100001, 5490, 778, 837, 1228, 10742, 21928, 2065, 288, 31157, 13, 7915, 661, 1853, 10213, 12792, 11, 285, 1853, 11991, 14087, 29985, 11, 285, 35011, 11, 285, 3246, 254, 27521, 13, 429, 11991, 661, 353, 12204, 12, 9116, 11, 285, 331, 704, 1228, 20661, 778, 9835, 60961, 4018, 4054, 13, 1955, 4759, 276, 330, 35352, 636, 280, 6791, 9410, 280, 8665, 11, 5191, 56594, 11, 285, 2618, 657, 778, 6737, 25, 742, 27723, 5786, 280, 11626, 85674, 48717, 279, 768, 13, 1955, 4437, 274, 9470, 13, 9098, 1051, 410, 25764, 5249, 1027, 1452, 405, 247, 50913, 13, 1955, 744, 51362, 586, 6054, 11, 410, 586, 10778, 13, 100001, 25004, 4010, 586, 543, 7421, 23773, 4312, 2561, 1310, 11, 285, 41639, 366, 245, 48392, 11, 62827, 372, 565, 473, 245, 10631, 2065, 586, 12960, 285, 1917, 13, 2928, 11246, 35010, 11, 1373, 362, 1027, 1378, 280, 3011, 1979, 276, 536, 11, 25818, 245, 6363, 2215, 344, 2373, 276, 857, 11, 362, 12419, 9405, 636, 254, 1117, 499, 280, 7646, 308, 20856, 285, 4586, 359, 581, 13, 9904, 3682, 2156, 3399, 2954, 35503, 11, 285, 254, 25851, 1090, 254, 4426, 3949, 24517, 13, 429, 52871, 20316, 17994, 2659, 745, 6159, 285, 1592, 11, 13558, 279, 521, 704, 49255, 6775, 13, 1494, 245, 2780, 7421, 9317, 245, 32587, 279, 254, 3438, 18134, 280, 704, 3545, 11, 254, 1079, 61919, 280, 588, 1401, 857, 445, 680, 26, 548, 9405, 362, 4749, 704, 543, 8647, 329, 285, 1842, 22196, 881, 5663, 13, 100001, 2450, 27376, 2882, 768, 26, 548, 1236, 372, 362, 1216, 558, 11, 23773, 272, 254, 1117, 499, 1062, 881, 586, 31848, 11, 362, 438, 6737, 11, 372, 29224, 372, 565, 245, 3253, 280, 10586, 661, 272, 9906, 1323, 857, 13, 13095, 581, 2330, 11, 837, 274, 25818, 4834, 11, 245, 23595, 15711, 497, 6013, 245, 2816, 19095, 13, 100001, 2901, 4026, 487, 82, 2368, 359, 0, 487, 993, 7421, 13, 207, 2901, 4388, 304, 487, 313, 81403, 254, 3865, 12, 8569, 15711, 0, 7384, 11, 1865, 331, 15267, 0, 487, 362, 7899, 13, 207, 2901, 28721, 11383, 1783, 361, 6452, 344, 254, 1228, 86933, 12, 9738, 11074, 643, 2424, 11, 366, 586, 77937, 12, 64713, 1653, 0, 487, 2071, 438, 642, 3510, 13, 7421, 75809, 4312, 13, 900, 272, 1656, 96839, 5501, 279, 586, 1297, 13, 429, 47728, 2762, 279, 4399, 13423, 11, 548, 362, 1027, 1019, 344, 254, 47387, 438, 88652, 366, 12792, 13, 12975, 430, 586, 5144, 778, 984, 410, 66, 12, 1809, 4346, 366, 47513, 35387, 279, 704, 30844, 13, 30042, 2762, 1313, 691, 18294, 26, 742, 91366, 372, 657, 661, 803, 362, 1067, 1224, 410, 7468, 26, 3072, 279, 12016, 11, 1592, 32591, 6513, 634, 1913, 11, 5030, 279, 254, 1079, 14121, 257, 280, 39071, 10283, 11, 81321, 2237, 11, 60373, 13, 429, 18134, 778, 59592, 366, 4426, 5931, 13, 100001, 12201, 26269, 475, 7421, 9299, 11, 634, 10528, 457, 254, 5773, 30607, 11, 254, 750, 457, 245, 20992, 696, 68053, 366, 245, 67428, 3059, 280, 4349, 26, 548, 362, 1216, 441, 3070, 276, 1068, 691, 11489, 13, 56449, 254, 6518, 245, 1228, 4167, 430, 254, 4414, 280, 254, 25943, 6626, 3222, 1721, 11, 285, 245, 3074, 2156, 2373, 1184, 26, 245, 2317, 410, 66, 2762, 5030, 2065, 254, 12100, 13, 7421, 27376, 855, 254, 3123, 285, 2674, 279, 26, 285, 937, 362, 79842, 786, 430, 245, 4257, 13, 100001, 32, 5505, 285, 91878, 13108, 5426, 1062, 473, 254, 4167, 5135, 254, 11072, 12, 2727, 13, 809, 438, 66456, 11769, 366, 73546, 1278, 2728, 279, 33802, 331, 254, 9906, 11, 548, 895, 16066, 1225, 438, 4739, 279, 22569, 13, 8410, 11394, 285, 45657, 1027, 330, 2826, 331, 437, 2387, 285, 344, 26, 548, 359, 438, 7137, 4617, 327, 984, 410, 1853, 691, 12792, 84518, 331, 254, 6597, 13, 4810, 856, 362, 661, 4101, 280, 254, 59728, 487, 3075, 7421, 4437, 344, 11, 5030, 410, 13260, 11, 21675, 2860, 744, 1094, 4135, 330, 1503, 279, 245, 18377, 1461, 581, 279, 254, 77405, 2367, 2330, 26, 548, 362, 1667, 3365, 327, 245, 1492, 1323, 362, 1503, 254, 1143, 13, 100001, 2901, 1385, 487, 647, 330, 3345, 254, 1062, 11, 304, 6384, 11, 487, 7421, 35351, 13, 207, 2901, 549, 3000, 25943, 81439, 29517, 12, 4018, 13, 1308, 12344, 304, 487, 67, 2018, 1181, 1069, 11493, 13, 487, 1063, 8947, 1224, 254, 13108, 11, 548, 9405, 1132, 11, 1319, 3458, 691, 45656, 13, 48226, 438, 6278, 276, 20972, 857, 1310, 13, 2071, 438, 642, 3066, 4617, 254, 6884, 280, 586, 5144, 11, 588, 4759, 276, 2554, 276, 274, 91878, 6565, 11, 837, 254 ]
[ 100000, 5418, 2367, 1323, 254, 4281, 31649, 4435, 254, 59335, 31078, 285, 1228, 25851, 39262, 1224, 254, 11072, 12, 44969, 13, 414, 24473, 75976, 704, 5144, 11, 285, 6389, 8728, 279, 254, 24924, 82, 13, 100001, 75243, 279, 254, 12450, 254, 6787, 2156, 2762, 14211, 2065, 254, 4165, 19369, 280, 16066, 8800, 285, 4837, 13, 7421, 285, 21675, 2860, 1132, 6153, 93825, 285, 11246, 51870, 778, 2249, 276, 614, 430, 245, 4770, 16930, 11, 285, 366, 889, 634, 8749, 24697, 52334, 1752, 5426, 254, 7947, 331, 327, 6128, 1853, 691, 3821, 13, 100001, 1385, 438, 4426, 13, 20593, 2653, 661, 14844, 13, 2071, 778, 1313, 3662, 7524, 11, 548, 254, 4311, 12, 86, 10191, 12780, 744, 441, 330, 2826, 6309, 5189, 13, 65771, 807, 285, 21675, 2860, 778, 430, 254, 13623, 11, 10147, 26380, 285, 441, 9034, 11, 12734, 327, 688, 3066, 2065, 254, 4559, 4435, 13, 2803, 3973, 65771, 807, 11564, 254, 12114, 13, 100001, 2901, 3647, 245, 3066, 548, 254, 5409, 11, 487, 362, 993, 13, 207, 2901, 2960, 418, 642, 614, 1645, 1233, 3345, 11, 410, 601, 14501, 418, 1401, 280, 4837, 13, 809, 317, 276, 330, 18936, 344, 254, 2489, 5508, 543, 330, 3093, 366, 8541, 450, 473, 364, 6045, 13, 1308, 6642, 344, 438, 521, 704, 5487, 11, 285, 657, 661, 3011, 1979, 276, 536, 366, 450, 207, 891, 366, 254, 26500, 13, 100001, 23077, 2489, 5508, 543, 2752, 21013, 48648, 327, 1313, 41519, 881, 254, 8800, 11, 565, 657, 463, 245, 14844, 13109, 276, 88187, 13, 487, 21675, 2860, 1216, 441, 3510, 13, 1063, 4133, 430, 900, 272, 11, 285, 254, 26965, 438, 20224, 13, 100001, 23014, 362, 661, 4101, 1874, 11, 410, 2215, 362, 661, 13, 1733, 3444, 372, 254, 25851, 661, 14844, 786, 768, 285, 254, 4559, 4435, 438, 4165, 11, 362, 661, 4101, 1310, 254, 3399, 2069, 367, 280, 5144, 13, 6809, 1132, 362, 4101, 359, 13, 1063, 4540, 35503, 13, 2071, 778, 984, 12624, 23565, 2992, 280, 2156, 4435, 11, 410, 327, 245, 2780, 362, 2215, 362, 3505, 768, 11, 548, 430, 2561, 657, 27885, 12159, 285, 35638, 13, 100001, 2901, 2640, 317, 359, 30, 487, 993, 254, 33466, 13, 100001, 2901, 40, 1113, 487, 83, 1006, 11, 487, 7589, 21675, 2860, 13, 207, 2901, 40, 2215, 304, 4101, 5144, 11, 285, 304, 2215, 304, 3505, 245, 2156, 207, 891, 837, 3545, 13, 304, 463, 2215, 558, 2752, 11, 1962, 395, 1022, 8400, 364, 6045, 13, 487, 65771, 807, 41639, 285, 67958, 276, 254, 3419, 13, 207, 2901, 40, 4704, 3011, 548, 254, 2653, 12, 43883, 280, 4466, 285, 8665, 11, 487, 362, 993, 13, 207, 2901, 17095, 0, 3960, 450, 25683, 0, 429, 3072, 418, 636, 280, 7702, 13, 487, 429, 2653, 12, 16085, 33515, 28599, 581, 254, 17432, 276, 2984, 768, 13, 12337, 768, 245, 5505, 14518, 13423, 645, 20200, 11, 285, 657, 4101, 274, 23235, 18182, 275, 280, 8242, 837, 2445, 28959, 279, 254, 26690, 13, 100001, 2901, 43, 1034, 789, 21313, 19646, 0, 487, 7899, 8427, 23280, 13, 207, 2901, 43, 1034, 789, 21313, 19646, 0, 1003, 463, 1865, 276, 254, 71002, 280, 254, 19778, 10082, 13, 49812, 344, 359, 317, 8678, 0, 487, 774, 254, 4165, 2156, 280, 254, 7524, 704, 36311, 778, 14518, 11, 285, 704, 71155, 8242, 245, 13357, 280, 3467, 322, 5299, 13, 100001, 2901, 43, 1034, 789, 21313, 19646, 0, 487, 993, 52334, 1752, 13, 207, 2901, 56861, 304, 608, 276, 4704, 1310, 254, 5409, 279, 254, 7636, 0, 1003, 418, 1592, 1585, 691, 853, 4047, 41519, 473, 254, 42166, 11, 548, 395, 481, 614, 642, 3572, 13, 4462, 1632, 450, 3655, 344, 254, 20542, 280, 254, 1473, 1606, 543, 2240, 450, 19635, 473, 254, 32280, 344, 3450, 4435, 13, 487, 207, 2901, 1847, 1473, 1606, 6031, 1592, 23404, 1285, 279, 254, 4426, 4010, 1843, 11, 487, 993, 65771, 807, 13, 100001, 2901, 1385, 317, 1234, 1962, 688, 280, 601, 1377, 22503, 8398, 271, 24293, 1062, 276, 254, 3114, 29309, 395, 39463, 279, 13205, 1234, 4084, 11, 487, 993, 8427, 23280, 11, 207, 2901, 2381, 395, 4704, 344, 7980, 21313, 4397, 255, 317, 441, 2618, 35654, 11, 327, 745, 317, 245, 6486, 1823, 1285, 344, 7432, 11626, 473, 254, 3114, 13, 22347, 895, 22503, 418, 24496, 2826, 11, 285, 6642, 657, 23404, 1132, 4399, 279, 254, 16763, 285, 2367, 473, 254, 18073, 5792, 13, 487, 207, 2901, 23298, 4399, 279, 254, 4837, 657, 23404, 11, 487, 993, 52334, 1752, 11, 285, 34456, 372, 565, 742, 4887, 38087, 279, 857, 13, 207, 2901, 1380, 1534, 267, 409, 327, 9856, 19635, 13, 100001, 1380, 543, 614, 4312, 245, 2577, 1143, 11, 2645, 254, 7636, 418, 521, 786, 450, 11, 285, 937, 395, 543, 1947, 12159, 473, 254, 3088, 285, 9847, 245, 1810, 276, 1610, 279, 13, 487, 1063, 20210, 4312, 26, 548, 15364, 283, 348, 6626, 4942, 11827, 1422, 285, 1216, 441, 1181, 13, 207, 2901, 3110, 745, 642, 750, 1143, 30, 487, 362, 993, 13, 100001, 2901, 2640, 750, 90769, 1143, 744, 340, 8836, 30, 487, 993, 52334, 1752, 13, 100001, 2901, 32, 8800, 4559, 11, 2451, 359, 5426, 1184, 245, 35061, 280, 44914, 11, 487, 993, 15364, 283, 348, 13, 207, 2901, 2716, 8387, 12888, 643, 437, 7947, 803, 5426, 11, 285, 558, 2367, 276, 11626, 16531, 13, 37473, 601, 543, 395, 5079, 1090, 254, 26318, 280, 364, 6045, 11, 276, 769, 4257, 13, 1308, 1132, 395, 1534, 5223, 254, 19778, 10082, 11, 340, 1481, 13, 1474, 280, 344, 65601, 3114, 395, 463, 4101, 279, 92552, 256, 11, 285, 359, 317, 993, 344, 1860, 1865, 636, 779, 2561, 614, 279, 26, 285, 280, 344, 1860, 5249, 463, 21327, 55523, 52117, 13, 487, 207, 2901, 30445, 441, 55523, 52117, 11, 548, 565, 340, 1481, 31768, 11, 937, 6642, 340, 543, 3753, 254, 5919, 11, 487, 993, 52334, 1752, 13, 207, 2901, 2395, 63618, 259, 4944, 279, 92552, 256, 11, 15364, 283, 348, 11, 565, 279, 254, 3787, 280, 1462, 779, 2561, 778, 13430, 657, 1132, 3753, 11626, 280, 86777, 789, 21313, 19646, 13, 53244, 856, 340, 543, 11, 745, 317, 642, 750, 1143, 327, 450, 207, 891, 6838, 340, 744, 614, 1062, 276, 364, 6045, 12, 10771, 11, 410, 5760, 254, 3088, 1568, 14499, 11, 410, 12370, 254, 6982, 9321, 521, 5254, 13, 487, 207, 2901, 4631, 2023, 331, 0, 487, 993, 15364, 283, 348, 13, 207, 2901, 2395, 359, 317, 65601, 13, 487, 207, 2901, 5130, 296, 625, 6031, 11, 487, 993, 52334, 1752, 11, 207, 2901, 28555, 285, 65601, 26, 548, 889, 11626, 933, 5663, 359, 11, 410, 1462, 779, 3792, 742, 11626, 366, 768, 13, 23028, 525, 0, 487, 1955, 661, 5418, 1585, 691, 853, 245, 13925, 881, 254, 9625, 754, 657, 2373, 2065, 1913, 5545, 21897, 1224, 35503, 473, 254, 5330, 12, 62007, 45021, 344, 32545, 1062, 59335, 5135, 254, 14499, 13, 1955, 4101, 359, 7858, 5693, 855, 245, 3467, 2302, 3264, 254, 25851, 331, 704, 1329, 13, 100001, 26617, 4426, 62569, 14585, 7279, 3246, 254, 3088, 1323, 768, 11, 285, 10213, 10495, 1313, 11688, 1234, 4084, 11, 285, 1592, 395, 2091, 768, 279, 254, 5226, 11, 38151, 254, 42701, 331, 895, 15300, 11, 285, 254, 14544, 10252, 344, 50034, 279, 895, 23513, 13, 2428, 317, 4426, 1132, 285, 254, 18803, 280, 60672, 294, 7768, 317, 7488, 1224, 13, 304, 543, 86886, 601, 5144, 11, 327, 359, 317, 993, 344, 254, 2354, 317, 19104, 276, 254, 25761, 13, 487, 1063, 2674, 4312, 285, 32545, 1224, 254, 4399, 12, 497, 17963, 6185, 285, 20210, 881, 254, 5545, 13, 100001, 2901, 25807, 525, 0, 487, 362, 7899, 13, 207, 2901, 549, 2354, 317, 441, 4399, 13, 3960, 450, 259, 927, 3246, 0, 2426, 254, 3572, 6185, 395, 481, 1610, 11, 285, 254, 3066, 280, 254, 13520, 2354, 975, 3792, 450, 5476, 285, 7654, 17943, 280, 20110, 13, 487, 3474, 457, 634, 657, 32545, 1224, 285, 5496, 8427, 23280, 13, 1494, 245, 2780, 21675, 2860, 6626, 3345, 254, 63330, 285, 1632, 254, 2354, 3460, 855, 586, 13400, 5144, 13, 809, 438, 6159, 548, 895, 5402, 438, 3920, 11, 285, 372, 362, 2674, 331, 285, 359, 13259, 276, 586, 20661, 11, 362, 4749, 344, 254, 18344, 280, 4886, 285, 521, 77774, 438, 26829, 473, 586, 32004, 13, 100001, 3287, 521, 254, 7947, 661, 17033, 11, 657, 2659, 285, 31611, 285, 22331, 245, 1585, 3427, 26, 285, 8427, 23280, 3542, 768, 29915, 280, 86777, 789, 21313, 4397, 255, 344, 254, 1473, 1606, 280, 12160, 74, 5694, 1592, 5982, 279, 704, 14495, 11, 280, 29626, 285, 5395, 3205, 2065, 254, 59928, 457, 254, 6982, 9321, 1323, 254, 1843, 438, 14518, 13, 100001, 3567, 3973, 245, 12114, 7276, 11, 285, 657, 4101, 254, 4236, 280, 254, 58275, 3268, 71025, 279, 254, 25851, 13, 33780, 21675, 2860, 43937, 344, 362, 1027, 4704, 245, 5136, 17003, 11, 41400, 366, 254, 3066, 280, 254, 2354, 13, 100001, 2901, 4453, 340, 4704, 254, 5136, 280, 60672, 294, 7768, 30, 487, 3637, 8427, 23280, 13, 207, 2901, 40, 543, 2091, 340, 245, 5654, 280, 254, 33722, 60672, 294, 7768, 11, 779, 20010, 254, 1246, 1210, 372, 254, 5545, 13869, 588, 838, 8663, 1234, 4084, 13, 809, 317, 245, 4770, 5654, 279, 769, 4837, 12, 3114, 16777, 26, 548, 437, 317, 946, 359, 7513, 279, 254, 5653, 2114, 44151, 11, 372, 742, 279, 36554, 409, 488, 1132, 2091, 359, 13, 487, 685, 245, 2838, 5136, 10983, 276, 330, 4101, 18872, 254, 18182, 275, 280, 254, 8242, 2330, 768, 362, 4732, 25, 1640, 1473, 1722, 12, 30516, 745, 438, 280, 1712, 11, 338, 25288, 5395, 457, 1492, 25, 5067, 50196, 3682, 438, 22366, 2026, 366, 5299, 11, 5067, 13085, 280, 11041, 12, 35140, 13, 100001, 32, 5395, 438, 3080, 2065, 711, 16519, 11, 338, 2156, 438, 331, 711, 5539, 1733, 4281, 2065, 254, 14544, 67815, 685, 7980, 21313, 19646, 254, 4770, 13, 100001, 13608, 5539, 438, 1234, 11, 711, 32004, 778, 3682, 11, 1308, 4770, 838, 438, 285, 2094, 26, 1308, 279, 254, 5409, 838, 2674, 372, 2156, 87047, 546, 254, 15300, 280, 60672, 294, 7768, 11, 3563, 2354, 3662, 285, 5559, 11, 5067, 5136, 372, 13520, 11041, 7276, 37390, 254, 25288, 7434, 13, 100001, 9595, 1132, 838, 18012, 408, 5249, 481, 2410, 11, 685, 29626, 410, 279, 17920, 26, 1494, 4739, 280, 320, 420, 438, 60672, 294, 7768, 1308, 279, 254, 14499, 35731, 271, 13, 100001, 549, 466, 1722, 12, 4778, 279, 7398, 14518, 84955, 254, 11072, 12, 16043, 338, 11307, 1536, 711, 327, 1313, 245, 1492, 93739, 254, 54613, 5532, 13, 100001, 32, 5409, 457, 2653, 279, 17506, 19369, 338, 14258, 11, 285, 12724, 359, 7899, 11, 1308, 17354, 254, 5225, 473, 466, 1722, 12, 2017, 3788, 56449, 254, 20968, 26760, 13, 100001, 3287, 23608, 2373, 4165, 254, 3114, 438, 4739, 11, 429, 14499, 38034, 14518, 30042, 254, 98566, 11006, 344, 39381, 9191, 95201, 280, 91414, 19731, 13, 100001, 7649, 74717, 40547, 254, 44582, 14450, 4201, 2495, 5897, 254, 44202, 11, 1308, 52040, 254, 6830, 1568, 5225, 344, 20010, 12823, 2367, 473, 60672, 294, 7768, 13, 100001, 4112, 1712, 362, 438, 274, 1473, 1722, 12, 5936, 11, 338, 15332, 280, 5330, 285, 1656, 255, 11, 2473, 14544, 778, 254, 67815, 279, 8079, 685, 4770, 86777, 789, 21313, 19646, 13, 100001, 4044, 39593, 276, 5532, 657, 3505, 857, 30689, 11, 1733, 18660, 473, 254, 2662, 11, 1308, 31210, 881, 254, 2354, 4399, 11, 1733, 525, 86, 2065, 254, 19736, 13, 100001, 549, 5409, 438, 279, 586, 21897, 5539, 11, 429, 23513, 786, 857, 34597, 26, 2395, 473, 254, 5653, 643, 1865, 642, 1734, 11, 1308, 331, 254, 415, 2064, 41324, 2366, 58285, 1473, 1722, 12, 33468, 463, 4101, 4947, 4658, 74717, 2647, 4291, 13, 100001, 549, 5136, 280, 8427, 23280, 80900, 11, 285, 254, 5654, 23832, 13, 207, 2901, 40, 2977, 2091, 688, 691, 11, 487, 362, 993, 13, 207, 2901, 4026, 317, 548, 245, 697, 11, 327, 304, 463, 15503, 1266, 13, 809, 317, 1234, 285, 9436, 11, 327, 359, 10496, 946, 19506, 2373, 2065, 86777, 789, 21313, 4397, 255, 11, 7980, 21313, 4397, 255, 280, 254, 99061, 11, 754, 254, 414, 9738, 1606, 46282, 11626, 279, 254, 14499, 13, 487, 207, 2901, 2395, 254, 414, 9738, 1606, 1216, 441, 1099, 254, 11626, 11, 487, 993, 65771, 807, 13, 100001, 2901, 40, 993, 441, 558, 26, 2618, 11626, 2373, 11, 487, 7589, 8427, 23280, 28825, 13, 207, 2901 ]
[ 100000, 642, 14892, 279, 521, 520, 72535, 30, 487, 207, 2901, 3233, 11, 304, 608, 10297, 441, 11, 487, 993, 50762, 13, 207, 2901, 1380, 463, 441, 1503, 688, 11, 441, 1236, 1285, 279, 254, 6839, 10289, 13, 10898, 8379, 5982, 437, 60105, 276, 3177, 11, 359, 3354, 13, 1308, 304, 1113, 487, 83, 1378, 359, 744, 330, 688, 938, 48011, 331, 254, 11394, 280, 35100, 863, 276, 2698, 245, 14892, 280, 857, 0, 1003, 2786, 463, 276, 4127, 28761, 11, 372, 1207, 3997, 1534, 430, 245, 39514, 13, 487, 207, 2901, 38008, 245, 2780, 0, 487, 993, 375, 12082, 246, 13, 64707, 586, 1297, 4650, 254, 12960, 2599, 1712, 16428, 14892, 13, 1308, 1285, 487, 82, 1913, 25, 274, 30348, 634, 13, 304, 463, 7452, 359, 245, 1234, 1143, 11, 2451, 304, 1113, 487, 83, 1006, 2643, 13, 304, 1866, 1921, 4061, 276, 1275, 688, 14892, 12, 37142, 331, 254, 8398, 11, 754, 601, 1377, 7279, 636, 13, 1474, 1132, 359, 3450, 279, 5629, 1166, 521, 13, 487, 1063, 4586, 581, 245, 1760, 14892, 366, 245, 5505, 66778, 16136, 11, 285, 20475, 359, 276, 65771, 807, 13, 207, 2901, 12784, 344, 20032, 254, 8121, 1439, 450, 30, 487, 362, 993, 13, 100001, 2901, 2974, 23416, 359, 0, 487, 7899, 65771, 807, 13, 207, 2901, 11694, 12573, 38501, 3390, 11, 359, 8242, 525, 4399, 279, 520, 11757, 13, 487, 207, 2901, 6636, 11, 304, 608, 1872, 1062, 881, 254, 1721, 3207, 11, 276, 1019, 856, 254, 5409, 285, 9539, 418, 3217, 0, 487, 993, 8427, 23280, 13, 100001, 2901, 1380, 543, 1865, 366, 340, 11, 487, 993, 52334, 1752, 13, 100001, 5490, 2674, 636, 285, 21928, 4449, 2065, 254, 49709, 18134, 1323, 254, 27521, 13, 1955, 1027, 1019, 2367, 1224, 881, 254, 17432, 1132, 26, 254, 95027, 778, 26947, 285, 17864, 2302, 2065, 254, 26690, 13, 100001, 2901, 4388, 1632, 450, 1529, 769, 11535, 1285, 327, 245, 1585, 0, 487, 993, 52334, 1752, 13, 207, 2901, 1380, 543, 2097, 331, 254, 5941, 280, 22204, 285, 3075, 11, 372, 39369, 2520, 2970, 11, 1477, 362, 317, 10145, 16302, 13, 304, 2213, 245, 77774, 1108, 372, 304, 463, 24496, 4749, 1323, 13, 487, 1063, 19878, 586, 14518, 38271, 786, 857, 11, 25103, 586, 9444, 12, 29785, 11, 285, 24880, 636, 586, 1234, 12882, 13, 2928, 362, 2762, 1062, 285, 2143, 473, 586, 12077, 245, 10212, 5545, 280, 14463, 13, 100001, 2901, 9610, 0, 487, 993, 375, 12082, 246, 13, 207, 2901, 6623, 1421, 254, 63341, 643, 1865, 1062, 0, 487, 207, 2901, 2450, 643, 1866, 803, 2302, 11, 487, 993, 52334, 1752, 13, 207, 2901, 40, 608, 6536, 1421, 285, 9497, 21313, 2490, 12, 32377, 1653, 11, 285, 304, 6893, 1572, 276, 92552, 256, 285, 254, 5226, 13, 487, 1955, 42478, 279, 12114, 327, 245, 1477, 11, 285, 254, 4281, 34597, 331, 768, 26, 1906, 43621, 881, 254, 17432, 473, 3264, 3682, 16785, 1461, 279, 254, 5653, 13, 100001, 20922, 23280, 2762, 1592, 11, 2709, 581, 430, 254, 4281, 285, 9539, 366, 15681, 3545, 11, 285, 17003, 26380, 276, 3177, 13, 2803, 1562, 362, 2659, 581, 13, 207, 2901, 17095, 1132, 0, 487, 362, 993, 13, 100001, 2901, 3913, 37877, 331, 11, 285, 254, 95027, 418, 31244, 2302, 11, 410, 744, 565, 340, 8387, 22503, 1216, 441, 259, 87477, 39872, 279, 14463, 13, 2461, 280, 254, 19025, 30, 487, 207, 2901, 6636, 11, 601, 19025, 12166, 366, 36883, 581, 279, 254, 4426, 285, 7526, 4367, 521, 87444, 12, 394, 279, 274, 410, 66, 12, 16399, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 4160, 525, 1019, 11, 856, 317, 3571, 30, 487, 207, 2901, 549, 18097, 280, 6175, 279, 254, 1783, 641, 12, 40761, 22515, 11, 487, 993, 52334, 1752, 13, 375, 12082, 246, 1401, 742, 14365, 331, 586, 14773, 13, 207, 2901, 11723, 11326, 2507, 4084, 0, 487, 362, 993, 12124, 207, 2901, 1385, 3354, 245, 1012, 1962, 395, 778, 9317, 13, 7384, 11, 2451, 3222, 280, 359, 438, 837, 245, 3806, 6267, 11, 304, 35442, 344, 1853, 1079, 22319, 2507, 5496, 13, 100001, 92802, 543, 2918, 525, 11, 565, 304, 7654, 3270, 2375, 25, 304, 608, 441, 1872, 881, 4295, 25, 254, 376, 2744, 285, 254, 95031, 285, 352, 36303, 285, 521, 344, 26, 359, 1217, 441, 8982, 38151, 13, 487, 2991, 344, 362, 43690, 881, 274, 2654, 280, 15364, 283, 348, 487, 82, 1562, 6053, 285, 254, 410, 66, 12, 65859, 473, 4939, 1944, 14680, 296, 276, 254, 18724, 13, 549, 3072, 27007, 372, 254, 3947, 3487, 778, 17650, 279, 366, 704, 78740, 13, 100001, 2901, 4898, 418, 742, 37764, 344, 340, 1632, 3467, 11, 487, 993, 52334, 1752, 13, 207, 2901, 2054, 543, 330, 7684, 276, 463, 768, 1062, 13, 487, 1063, 88895, 586, 20437, 473, 1090, 586, 38271, 11, 285, 3061, 473, 359, 254, 984, 838, 52117, 47513, 13, 100001, 2901, 6636, 0, 487, 993, 50762, 13, 207, 2901, 40, 1866, 4061, 276, 1019, 1462, 1310, 0, 304, 10528, 245, 1860, 410, 5508, 366, 7207, 26, 548, 577, 67521, 21313, 74, 3061, 768, 473, 450, 13, 1724, 362, 25561, 506, 0, 2803, 1022, 304, 2215, 362, 438, 1872, 276, 39071, 525, 11, 548, 362, 15188, 254, 2012, 2302, 372, 565, 657, 21861, 857, 13, 487, 207, 2901, 2280, 1285, 839, 317, 520, 2275, 8988, 11, 375, 12082, 246, 11, 487, 993, 52334, 1752, 13, 207, 2901, 40, 463, 5982, 359, 5730, 11, 327, 359, 317, 245, 1079, 17353, 2421, 13, 487, 207, 2901, 40, 1006, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 1385, 438, 245, 66481, 276, 1632, 359, 614, 26, 548, 856, 1979, 1027, 304, 536, 30, 487, 207, 2901, 22776, 1979, 11, 487, 7589, 52334, 1752, 13, 207, 2901, 4711, 779, 2977, 4733, 2302, 245, 20017, 430, 933, 317, 279, 5682, 1717, 13, 1257, 1216, 39745, 13, 487, 207, 2901, 549, 13105, 280, 254, 15204, 331, 520, 76038, 11, 344, 438, 8030, 830, 0, 487, 993, 65771, 807, 13, 207, 2901, 64601, 8719, 340, 745, 26, 548, 340, 20760, 520, 5518, 366, 1572, 4054, 11, 634, 1667, 1481, 13, 487, 207, 2901, 2280, 845, 450, 245, 4245, 94055, 11, 487, 993, 8427, 23280, 13, 207, 2901, 40, 21517, 565, 340, 661, 11799, 19814, 0, 487, 207, 2901, 23809, 441, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2395, 340, 1216, 441, 1006, 786, 2414, 53228, 21313, 17675, 13, 487, 1063, 80078, 285, 993, 642, 691, 11, 7933, 50762, 276, 2410, 280, 1462, 1562, 22319, 10387, 25, 254, 60948, 272, 4054, 11, 254, 3550, 9004, 11, 285, 254, 27723, 6313, 280, 2414, 53228, 21313, 17675, 487, 82, 71530, 7921, 13, 100001, 2901, 3315, 437, 786, 254, 2489, 5508, 280, 4643, 308, 12, 678, 133, 215, 81, 11, 49596, 3020, 21313, 63671, 372, 657, 1282, 359, 11, 3190, 525, 45616, 11, 487, 993, 52334, 1752, 13, 207, 2901, 549, 17514, 5157, 2571, 4437, 1653, 1266, 11, 285, 586, 20595, 839, 26, 285, 2414, 53228, 21313, 17675, 20894, 2143, 742, 3965, 3246, 254, 9321, 1166, 254, 38040, 13, 429, 5773, 30607, 543, 330, 2709, 5135, 2128, 1227, 494, 13, 1474, 10898, 8379, 430, 688, 3934, 317, 279, 245, 80758, 7770, 280, 586, 1377, 13105, 13, 487, 207, 2901, 5661, 11, 44734, 2387, 19913, 11, 586, 33197, 317, 4922, 11, 487, 993, 50762, 13, 207, 2901, 39160, 4732, 276, 614, 521, 4360, 327, 857, 473, 254, 2780, 586, 2489, 5508, 845, 4414, 279, 50316, 261, 13, 487, 207, 2901, 1380, 9317, 245, 30716, 280, 254, 1712, 40515, 11, 410, 558, 39369, 2520, 28328, 11, 487, 993, 65771, 807, 13, 207, 2901, 2921, 254, 5941, 280, 254, 18724, 13, 487, 207, 2901, 3287, 438, 344, 30, 487, 3637, 375, 12082, 246, 13, 100001, 2901, 38577, 16919, 4084, 11, 487, 993, 52334, 1752, 13, 100001, 2901, 4160, 525, 1019, 11, 487, 993, 50762, 25, 207, 2901, 15660, 16919, 4084, 207, 891, 1132, 395, 1865, 276, 245, 697, 280, 254, 3693, 340, 1006, 3011, 786, 13, 1003, 2011, 18340, 88273, 344, 4421, 1166, 254, 8680, 26, 285, 344, 2653, 395, 778, 430, 423, 4192, 26678, 11, 634, 280, 586, 990, 12, 24300, 13, 429, 2112, 4421, 395, 2674, 276, 7901, 76, 1779, 11, 245, 20190, 280, 7901, 82, 11, 344, 317, 11, 285, 254, 646, 14343, 2421, 304, 463, 2647, 2826, 279, 601, 1728, 13, 304, 580, 69, 704, 97155, 11, 254, 7901, 82, 8963, 33515, 581, 13, 809, 438, 6971, 13, 429, 18724, 661, 4749, 372, 17891, 372, 565, 245, 77087, 438, 61672, 4650, 359, 25, 937, 521, 430, 2561, 359, 56943, 13, 304, 4796, 340, 1027, 463, 4101, 704, 5654, 372, 657, 33378, 13, 487, 207, 2901, 1847, 10898, 8379, 661, 4101, 359, 11, 362, 744, 330, 245, 5197, 6593, 2302, 457, 1132, 11, 1236, 565, 362, 661, 661, 276, 1409, 331, 586, 1377, 12882, 11, 487, 993, 375, 12082, 246, 13, 100001, 2901, 23077, 2128, 1227, 494, 330, 2955, 285, 2074, 11, 372, 6159, 372, 8665, 285, 10922, 372, 17724, 11, 1003, 614, 11, 395, 614, 11, 395, 614, 276, 4429, 11, 276, 362, 86, 254, 8665, 285, 2973, 254, 4167, 0, 2071, 438, 1079, 1266, 691, 13, 338, 1228, 3822, 280, 254, 5654, 661, 642, 3073, 11, 285, 438, 837, 245, 4236, 280, 44055, 285, 42189, 13, 809, 438, 1079, 12351, 13, 1474, 304, 2215, 359, 438, 889, 44352, 4236, 285, 642, 691, 11, 953, 245, 5654, 207, 891, 2645, 304, 2149, 1285, 13, 304, 1006, 2018, 1132, 13, 487, 207, 2901, 1380, 2373, 1224, 855, 254, 1562, 34496, 881, 29059, 12246, 310, 21313, 18700, 81, 11, 1166, 2653, 661, 14844, 11, 487, 50762, 7091, 13, 207, 2901, 1385, 438, 937, 344, 304, 1022, 661, 254, 6153, 344, 254, 18724, 3964, 438, 6546, 4435, 450, 13, 304, 2215, 304, 438, 40610, 274, 990, 844, 6267, 11, 548, 375, 12082, 246, 661, 9299, 359, 1653, 13, 1003, 778, 1572, 16163, 12, 456, 271, 26, 548, 395, 1216, 441, 1275, 636, 691, 786, 359, 2645, 3470, 13, 100001, 2901, 1385, 438, 254, 23933, 19316, 11, 410, 558, 254, 7901, 82, 1282, 768, 279, 207, 2901, 2901, 11946, 4706, 56988, 13, 100001, 10939, 88273, 2115, 487, 83, 1481, 1266, 786, 768, 11, 548, 304, 1378, 657, 418, 7901, 82, 344, 463, 3261, 3308, 837, 7636, 11, 430, 2754, 276, 1068, 430, 13, 1955, 2039, 1285, 285, 745, 279, 254, 4837, 410, 1090, 895, 71002, 11, 13117, 11, 9697, 1225, 12, 2246, 326, 855, 254, 7636, 26, 548, 4399, 279, 254, 72263, 263, 2902, 745, 418, 12551, 285, 12551, 280, 768, 11, 304, 3634, 13, 100001, 2901, 2960, 317, 245, 1228, 1823, 279, 768, 11, 285, 657, 1751, 2249, 276, 12475, 4449, 279, 13423, 25, 359, 317, 3915, 276, 1019, 768, 6546, 13, 1474, 657, 536, 13, 1955, 481, 2938, 1079, 5397, 11, 565, 657, 418, 15846, 13, 1257, 2039, 1592, 2709, 430, 254, 8077, 11, 6642, 11, 410, 12734, 276, 254, 88597, 280, 254, 5409, 11, 285, 937, 8963, 340, 1275, 344, 340, 418, 279, 254, 6516, 280, 245, 4837, 366, 1228, 75400, 272, 7636, 521, 1983, 340, 13, 1955, 1592, 463, 18887, 11, 285, 481, 3753, 366, 254, 7901, 82, 207, 891, 344, 317, 2643, 657, 418, 2424, 23933, 19316, 11, 18340, 12, 33735, 2970, 207, 891, 548, 657, 463, 3261, 32533, 285, 6763, 13, 87892, 13, 304, 1023, 330, 46084, 280, 6244, 768, 11, 565, 745, 778, 642, 1927, 7901, 82, 786, 276, 1068, 1166, 768, 13, 100001, 2901, 6636, 11, 279, 254, 3923, 2653, 395, 39262, 1224, 245, 1234, 76755, 881, 254, 6909, 1225, 280, 254, 52821, 487, 82, 64832, 11, 254, 7901, 82, 366, 521, 704, 88597, 23933, 19316, 4435, 13, 1003, 1027, 441, 1019, 768, 11, 280, 2629, 11, 548, 254, 3000, 3207, 438, 2201, 280, 1267, 1379, 13, 809, 438, 1079, 4426, 11, 245, 55043, 2653, 13, 1955, 6937, 430, 245, 1228, 4583, 372, 3444, 372, 657, 661, 2116, 254, 17188, 11, 285, 1401, 245, 6565, 837, 245, 32907, 5409, 13, 429, 20992, 1216, 441, 3976, 1184, 254, 16785, 11, 285, 2960, 438, 245, 2156, 64195, 473, 245, 1461, 4071, 279, 254, 18972, 11, 344, 438, 521, 13, 100001, 2901, 10939, 88273, 285, 245, 1860, 691, 7901, 82, 39262, 331, 11, 1329, 4078, 276, 2383, 7702, 280, 254, 1228, 18318, 13, 375, 12082, 246, 285, 304, 778, 366, 857, 13, 1003, 778, 9368, 331, 18340, 88273, 487, 82, 17459 ]
[ 100000, 11, 1477, 8427, 23280, 285, 65771, 807, 40382, 1062, 331, 4414, 276, 3126, 393, 7646, 255, 13, 809, 438, 245, 13925, 410, 691, 11, 285, 359, 438, 742, 766, 1323, 657, 2373, 1062, 11, 99730, 984, 18991, 35503, 2726, 254, 14450, 13, 100001, 2901, 2960, 317, 245, 8387, 19025, 276, 2410, 0, 487, 993, 8427, 23280, 13, 207, 2901, 2960, 418, 889, 984, 18991, 2065, 254, 6185, 13, 1003, 1027, 1275, 642, 11362, 280, 254, 750, 13, 487, 207, 2901, 11434, 2489, 5508, 803, 745, 30, 487, 3637, 52334, 1752, 13, 100001, 2901, 1380, 3505, 642, 11264, 280, 768, 11, 487, 7589, 65771, 807, 13, 207, 2901, 2280, 2489, 5508, 744, 463, 3443, 410, 16298, 521, 254, 18991, 11, 285, 254, 42731, 372, 1136, 13, 487, 207, 2901, 40, 543, 1068, 430, 254, 3419, 754, 395, 1865, 745, 11, 487, 993, 52334, 1752, 13, 100001, 4388, 657, 9835, 15364, 283, 348, 279, 254, 6516, 280, 254, 8964, 344, 438, 276, 8982, 857, 2302, 13, 429, 14518, 26256, 285, 466, 1722, 12, 76296, 657, 31789, 285, 6746, 14172, 586, 1917, 13, 1955, 2927, 271, 586, 1234, 4426, 5539, 285, 93819, 359, 2065, 586, 17459, 13, 429, 14544, 20437, 280, 7980, 21313, 19646, 91893, 786, 2452, 34742, 1957, 254, 44914, 280, 586, 14924, 13, 2928, 81105, 254, 49381, 276, 254, 22757, 280, 254, 750, 8964, 11, 657, 12419, 857, 636, 881, 254, 2354, 13, 1955, 92811, 28825, 2726, 254, 14450, 11, 285, 9860, 881, 254, 18847, 12, 22706, 7204, 657, 5079, 254, 5575, 252, 1209, 280, 3126, 393, 7646, 255, 13, 429, 19547, 9226, 280, 18520, 19437, 348, 778, 36301, 25, 359, 438, 1132, 5947, 12, 56709, 13, 1733, 657, 2674, 8868, 254, 267, 2260, 280, 433, 1774, 4177, 8728, 285, 80607, 42938, 1323, 768, 11, 245, 67924, 280, 5299, 13, 100001, 549, 19482, 285, 22001, 280, 254, 15300, 18176, 254, 5409, 1568, 3207, 13, 100001, 50, 5880, 3200, 657, 4733, 15374, 254, 24408, 8964, 25, 745, 15364, 283, 348, 2762, 11, 1610, 1086, 11, 24177, 11, 82623, 2065, 254, 31848, 280, 254, 21897, 2354, 13, 429, 5545, 3061, 857, 1477, 657, 4586, 704, 1377, 8964, 1062, 366, 704, 43161, 878, 13, 1063, 50034, 457, 768, 11, 285, 9405, 586, 8964, 31334, 11, 259, 10191, 276, 245, 4426, 7056, 2481, 254, 14544, 2156, 26, 285, 937, 8963, 359, 35638, 13, 100001, 49, 1774, 4177, 59782, 331, 405, 26237, 13, 429, 9321, 661, 3443, 15364, 283, 348, 4278, 280, 10806, 862, 256, 11, 285, 362, 438, 441, 2826, 1310, 279, 4302, 281, 41821, 349, 11, 8898, 372, 362, 1222, 276, 2039, 2065, 254, 7883, 25943, 279, 254, 4421, 13, 1474, 279, 92552, 256, 279, 1166, 12, 14033, 359, 1234, 438, 993, 344, 254, 466, 1722, 12, 24082, 19354, 254, 15300, 285, 254, 95078, 7434, 11, 285, 20010, 857, 1224, 1184, 508, 7644, 5187, 511, 11, 285, 2882, 254, 1313, 47396, 280, 1308, 63454, 11, 636, 881, 254, 6982, 15441, 430, 2653, 1090, 254, 7524, 13, 100001, 1988, 245, 1477, 254, 1853, 20935, 10471, 13117, 11, 36545, 1166, 857, 13, 2928, 52334, 1752, 8921, 13, 207, 2901, 5490, 543, 1068, 327, 857, 473, 254, 7883, 25943, 11, 487, 362, 993, 11, 207, 2901, 2381, 362, 543, 441, 972, 473, 11072, 410, 473, 5532, 13, 487, 2928, 9405, 362, 4732, 276, 2091, 25, 13873, 50316, 261, 855, 29126, 285, 2021, 1066, 254, 1234, 11387, 19112, 429, 5653, 17902, 3450, 10147, 11, 285, 786, 254, 9906, 359, 5014, 13, 100001, 2901, 2640, 4921, 473, 254, 5653, 11, 508, 32802, 5409, 11, 536, 340, 3792, 276, 525, 19635, 30, 10351, 340, 2826, 15364, 283, 348, 254, 33337, 457, 12780, 410, 457, 5395, 3205, 30, 487, 207, 2901, 40, 3505, 857, 10502, 855, 7960, 21410, 11, 855, 14585, 5505, 285, 14518, 26, 304, 3505, 857, 3667, 279, 7137, 19369, 11, 2645, 362, 5079, 2302, 37390, 254, 25851, 280, 254, 5226, 13, 304, 3505, 857, 937, 642, 691, 13, 100001, 549, 5226, 17902, 975, 463, 4101, 254, 27250, 280, 254, 4278, 280, 10806, 862, 256, 13, 487, 207, 2901, 46, 15364, 283, 348, 0, 4810, 254, 1461, 9906, 59335, 304, 4133, 60144, 11, 1474, 340, 2373, 441, 473, 254, 7137, 19369, 1066, 642, 1743, 418, 13, 487, 2928, 8427, 23280, 19544, 25, 4810, 254, 47396, 280, 254, 15441, 254, 5178, 17902, 31911, 11, 473, 254, 2901, 2640, 4921, 473, 254, 5178, 11, 508, 96766, 5409, 11, 536, 340, 3792, 276, 525, 430, 49070, 30, 8880, 1132, 317, 15364, 283, 348, 254, 13421, 30, 1063, 16687, 2228, 285, 304, 74618, 13, 487, 207, 2901, 35111, 441, 280, 525, 1066, 362, 33064, 23404, 207, 891, 558, 1313, 18797, 745, 9279, 2426, 254, 3682, 36027, 285, 254, 4426, 36027, 1090, 254, 61387, 9539, 26, 2086, 1313, 463, 5079, 1224, 1308, 63454, 276, 1275, 254, 21897, 15441, 13, 100001, 35111, 280, 254, 5226, 17902, 4921, 280, 768, 254, 5226, 17902, 19987, 276, 525, 0, 487, 207, 2901, 46, 15364, 283, 348, 0, 30042, 254, 8364, 254, 5532, 1209, 4559, 7513, 8868, 11, 1474, 340, 2373, 441, 366, 254, 259, 20044, 307, 24605, 473, 254, 14518, 5532, 487, 82, 8602, 13, 487, 2928, 52334, 1752, 19544, 1310, 25, 4810, 254, 22425, 280, 23555, 254, 5226, 17902, 31821, 11, 285, 2882, 254, 54613, 15300, 26, 1308, 3662, 285, 6159, 786, 254, 18972, 895, 12724, 27250, 8104, 13, 100001, 2901, 2640, 4921, 473, 254, 5226, 11, 508, 18995, 5409, 11, 536, 340, 3792, 276, 525, 3571, 30, 2461, 4921, 280, 15364, 283, 348, 254, 56518, 30, 1494, 362, 317, 1234, 2302, 13, 487, 207, 2901, 33, 45564, 338, 2321, 8088, 304, 4101, 586, 5778, 13, 2071, 1313, 48648, 362, 19556, 13, 100001, 11126, 497, 17963, 16352, 11, 586, 7488, 16356, 11, 657, 276, 254, 2354, 4832, 13, 100001, 11126, 1917, 558, 9326, 11, 586, 3059, 558, 4770, 11, 586, 32004, 657, 9835, 276, 1610, 26, 1308, 433, 1774, 4177, 11, 14544, 433, 1774, 4177, 12, 35364, 11, 20010, 857, 2065, 895, 12960, 13, 487, 207, 2901, 46, 15364, 283, 348, 0, 429, 25943, 280, 17518, 2786, 2647, 67332, 24529, 2158, 433, 1774, 4177, 11, 14544, 433, 1774, 4177, 12, 35364, 11, 2645, 254, 1225, 280, 2507, 13, 487, 2086, 657, 9765, 13, 2928, 657, 4540, 704, 8964, 285, 17354, 359, 366, 521, 254, 4583, 657, 1027, 2481, 254, 5545, 1062, 276, 3126, 393, 7646, 255, 13, 100001, 2901, 2054, 2116, 254, 7952, 17902, 276, 525, 11, 487, 993, 65771, 807, 11, 207, 2901, 2381, 304, 543, 1481, 66003, 280, 359, 13, 487, 207, 2901, 4026, 317, 372, 359, 1023, 330, 11, 487, 993, 52334, 1752, 13, 207, 2901, 774, 4302, 281, 41821, 349, 657, 29751, 254, 7952, 17902, 11, 548, 657, 536, 441, 2088, 359, 327, 58285, 13, 1474, 1132, 15364, 283, 348, 643, 3443, 586, 4559, 11, 285, 395, 1534, 1099, 32483, 276, 4352, 769, 1377, 13, 487, 1063, 47336, 254, 5575, 22661, 11, 5397, 548, 16523, 11, 96665, 2752, 276, 254, 6039, 13, 207, 2901, 3233, 2489, 5508, 463, 803, 331, 437, 3419, 11, 487, 362, 993, 13, 100001, 2901, 47701, 3011, 481, 330, 1401, 636, 327, 2569, 13, 2428, 769, 74692, 418, 1285, 11, 18960, 285, 298, 12, 55917, 13, 304, 2977, 2410, 3203, 688, 280, 254, 38501, 11834, 463, 1865, 1062, 1962, 254, 3365, 327, 21675, 2860, 4732, 13, 487, 1063, 5651, 276, 254, 6185, 11, 3415, 276, 1066, 254, 428, 389, 473, 254, 8079, 11311, 1215, 636, 881, 254, 9321, 13, 207, 2901, 2960, 418, 742, 3662, 24951, 1285, 11, 487, 362, 993, 13, 207, 2901, 32, 38501, 3390, 86, 10253, 407, 572, 17116, 8948, 384, 1888, 26, 2381, 40, 27303, 13778, 5479, 5509, 30669, 1752, 1216, 441, 3510, 430, 2561, 11, 548, 2674, 1062, 276, 254, 30342, 12, 1810, 285, 4133, 430, 254, 42731, 13, 207, 2901, 12201, 31230, 418, 7085, 11, 487, 362, 993, 11, 207, 2901, 384, 634, 317, 6062, 7421, 487, 82, 25, 359, 438, 3272, 2317, 285, 6751, 13, 1002, 937, 317, 254, 3510, 25, 21675, 2860, 643, 5418, 457, 8964, 11, 285, 586, 18448, 643, 5418, 366, 857, 13, 21675, 2860, 1534, 463, 5651, 1477, 395, 778, 521, 2302, 13, 304, 2011, 7421, 1872, 581, 254, 12967, 285, 3542, 857, 276, 1181, 525, 26, 548, 29224, 362, 1216, 441, 536, 558, 13, 1063, 35375, 586, 5738, 487, 82, 2764, 285, 2373, 1062, 1285, 1323, 21675, 2860, 661, 5418, 13, 1063, 1216, 441, 1275, 359, 3244, 276, 4283, 7421, 4435, 0, 487, 207, 2901, 2395, 2643, 1023, 362, 4283, 450, 4435, 11, 285, 1673, 245, 1734, 30, 487, 993, 65771, 807, 13, 207, 2901, 4026, 438, 245, 8387, 30769, 0, 487, 207, 2901, 2280, 245, 18127, 30769, 11, 487, 993, 52334, 1752, 13, 207, 2901, 22407, 438, 1329, 11, 304, 1378, 13, 21675, 2860, 1216, 441, 4796, 276, 2023, 688, 2138, 276, 4349, 366, 857, 279, 364, 694, 256, 13, 1474, 362, 4437, 344, 362, 1534, 614, 3177, 13, 22494, 6628, 1166, 362, 2116, 450, 344, 79118, 586, 5663, 285, 5914, 13, 487, 207, 2901, 21529, 19386, 2489, 5508, 2373, 331, 857, 285, 362, 24517, 11, 487, 993, 8427, 23280, 13, 100001, 2901, 2450, 24517, 11, 6062, 11, 487, 993, 52334, 1752, 11, 207, 2901, 2381, 441, 11, 304, 1378, 11, 473, 2489, 5508, 13, 487, 2461, 362, 2215, 438, 254, 4309, 280, 21675, 2860, 487, 82, 6363, 11929, 285, 11468, 52334, 1752, 1216, 441, 1481, 13, 429, 1562, 3073, 280, 15364, 283, 348, 362, 1234, 5982, 6486, 13, 100001, 2901, 6636, 11, 558, 1266, 430, 2754, 317, 1132, 3662, 11, 487, 993, 8427, 23280, 25, 207, 2901, 53556, 2860, 317, 642, 4172, 331, 437, 2387, 280, 254, 9321, 25, 889, 362, 481, 463, 3443, 254, 8964, 13, 100001, 2280, 7421, 317, 366, 857, 26, 889, 362, 744, 463, 3443, 586, 2390, 13, 487, 207, 2901, 5516, 4858, 937, 11, 487, 993, 65771, 807, 11, 207, 2901, 262, 2818, 276, 1529, 254, 9325, 8964, 285, 1181, 21675, 2860, 11, 410, 1979, 276, 1181, 254, 2489, 5508, 331, 4414, 13, 2071, 317, 1585, 3655, 2818, 1143, 13, 1003, 463, 2571, 4739, 17353, 3821, 13, 487, 207, 2901, 4160, 525, 1378, 0, 487, 993, 52334, 1752, 13, 207, 2901, 2280, 1132, 975, 304, 1099, 245, 1329, 4858, 11, 285, 2262, 254, 11626, 17196, 280, 437, 24862, 1492, 0, 487, 1063, 6626, 13117, 327, 245, 2780, 13, 207, 2901, 40, 543, 1181, 254, 2489, 5508, 11, 487, 362, 993, 430, 1562, 13, 207, 2901, 40, 744, 463, 24732, 21675, 2860, 276, 364, 694, 256, 285, 5418, 366, 857, 276, 254, 1225, 26, 548, 565, 304, 9847, 857, 1132, 279, 254, 32313, 11, 304, 1534, 10946, 254, 86195, 276, 42018, 285, 4349, 13, 2682, 2997, 19926, 7765, 430, 1562, 25, 254, 17196, 280, 254, 2746, 11435, 317, 279, 601, 4054, 642, 4172, 13, 429, 7947, 643, 7222, 895, 697, 13, 11169, 395, 344, 4512, 2977, 95194, 769, 20935, 1477, 395, 463, 6313, 2116, 13, 100001, 17095, 0, 1003, 543, 614, 1132, 13, 28764, 521, 344, 481, 330, 43718, 4435, 0, 1003, 543, 3327, 331, 457, 1492, 285, 4426, 0, 487, 1955, 12419, 581, 254, 1562, 8964, 285, 7452, 359, 276, 254, 7636, 13, 1955, 9835, 14172, 359, 1108, 280, 704, 11984, 372, 657, 1216, 441, 933, 285, 1027, 441, 5652, 2302, 13, 2928, 657, 2116, 3126, 393, 7646, 255, 13, 429, 9939, 438, 44582, 372, 657, 2373, 1062, 276, 254, 1656, 927, 1066, 15364, 283, 348, 661, 14844, 13, 2071, 657, 12389, 581, 254, 13789, 280, 254, 2489, 5508, 13, 809, 4067, 1585, 11228, 276, 1275, 13, 100001, 2901, 3233, 750, 22503, 1099, 1108, 245, 24486, 6513, 11, 487, 993, 8427, 23280, 13, 207, 2901, 1385, 3354, 704, 84236, 34721, 64020, 384, 24283, 3521, 39692, 1792, 292, 943, 557, 1265, 5990, 34742, 536, 441, 28912, 13, 1308, 3470, 395, 975, 463, 276, 3365, 327, 769, 3088, 279, 2074, 10922, 19369, 13, 487, 207, 2901, 6636, 11, 1166, 768, 0, 487, 993, 65771, 807, 13, 207, 2901, 35, 9738, 1606, 1653, 481, 614, 35503, 11, 285, 657, 536, 441, 28912, 19026, 853, 2489, 5508, 13, 1474, 359, 543, 330, 245, 1234, 29625, 25, 657, 463, 245, 1234, 1330, 13, 487, 207, 2901, 5661, 11, 487, 993, 52334, 1752, 11, 207, 2901, 832, 2786, 521, 933, 254, 43430, 280, 414, 9738, 1606, 13, 100001, 2395, 1865, 0, 2991, 3655, 410, 1673, 3655, 395, 543, 1181, 254, 13789, 280, 769 ]
[ 100000, 993, 13, 207, 2901, 2450, 438, 7415, 276, 340, 11, 304, 1019, 13, 2489, 1979, 586, 58205, 438, 634, 344, 340, 1216, 441, 4796, 276, 4571, 30, 809, 643, 13, 100001, 2280, 1132, 362, 2786, 29751, 254, 4363, 42018, 280, 1555, 11, 372, 1234, 285, 4363, 372, 769, 13822, 279, 254, 6982, 25943, 481, 635, 5787, 11, 285, 1866, 330, 7964, 11, 6838, 6642, 754, 362, 317, 5464, 285, 7488, 11, 558, 344, 362, 975, 1865, 276, 340, 11, 285, 340, 2786, 1019, 856, 340, 463, 2368, 13, 1002, 2786, 13946, 330, 6838, 340, 3900, 601, 5157, 487, 82, 3769, 13, 487, 207, 2901, 1744, 254, 3769, 11, 487, 993, 39369, 2520, 28150, 11, 548, 1462, 14491, 3505, 254, 46739, 279, 586, 3059, 11, 285, 1132, 362, 4759, 274, 1712, 285, 259, 531, 2954, 668, 11, 31514, 11, 27180, 430, 1562, 13, 1955, 1216, 441, 5914, 344, 362, 744, 3900, 13, 100001, 2901, 6723, 418, 254, 3769, 11, 487, 993, 254, 58348, 11, 285, 17424, 372, 362, 70755, 768, 634, 457, 634, 13, 207, 2901, 549, 20942, 966, 280, 92552, 256, 285, 895, 582, 27922, 32758, 2786, 18635, 430, 2561, 5897, 254, 1308, 63454, 11, 1022, 3950, 82868, 1866, 1310, 276, 65578, 9501, 60100, 254, 6982, 279, 7921, 11, 1721, 410, 6486, 13, 2428, 19369, 12450, 280, 254, 1308, 63454, 2786, 330, 9501, 60100, 487, 82, 327, 2647, 11, 21019, 13, 5653, 280, 254, 1308, 63454, 372, 2367, 372, 254, 33480, 88, 34188, 285, 254, 54731, 280, 50316, 261, 2786, 330, 38292, 666, 276, 364, 694, 256, 11, 285, 1743, 745, 2786, 8982, 642, 15872, 11, 548, 2786, 463, 4283, 276, 2738, 704, 1377, 15726, 13, 1474, 657, 2786, 1345, 276, 31200, 2128, 255, 12, 30083, 588, 657, 463, 1121, 5956, 16298, 11, 285, 344, 2786, 330, 9501, 60100, 487, 82, 11, 285, 745, 586, 41505, 2786, 23404, 25, 441, 10898, 8379, 11, 548, 634, 691, 15945, 280, 5442, 13, 487, 21519, 279, 254, 58348, 487, 82, 3545, 657, 1274, 586, 2215, 13, 1063, 438, 276, 330, 344, 41505, 11, 285, 10810, 521, 344, 10471, 280, 254, 5653, 1090, 586, 32407, 26, 362, 744, 330, 704, 62927, 285, 657, 586, 21209, 13, 100001, 2395, 39369, 2520, 993, 25, 207, 2901, 1567, 317, 1266, 276, 5521, 327, 254, 9746, 280, 634, 18448, 25, 344, 520, 9890, 1023, 5219, 279, 9875, 856, 362, 1534, 1979, 6053, 1313, 245, 4429, 276, 6320, 0, 2489, 643, 254, 2021, 280, 92552, 256, 16298, 586, 3655, 279, 4429, 11, 558, 344, 362, 15300, 276, 286, 91469, 30, 1308, 565, 6031, 395, 16900, 437, 23735, 558, 1461, 11, 856, 2049, 1000, 463, 395, 344, 9501, 60100, 11, 254, 12296, 9890, 280, 12258, 13133, 88, 11, 543, 2240, 586, 697, 30, 8880, 317, 437, 23735, 30, 3960, 857, 330, 4832, 8188, 285, 34237, 276, 450, 11, 285, 937, 395, 543, 2225, 1069, 17208, 13, 487, 809, 4759, 937, 276, 39369, 2520, 11, 6699, 11, 9697, 857, 372, 245, 668, 12662, 279, 56522, 366, 245, 27661, 39085, 11, 344, 327, 254, 3950, 280, 245, 9004, 254, 58348, 438, 430, 245, 4257, 26, 2618, 35503, 362, 14032, 1310, 13, 100001, 2901, 4453, 441, 4219, 88, 3073, 279, 520, 96006, 366, 254, 86742, 280, 9501, 60100, 0, 487, 362, 7899, 13, 207, 2901, 29133, 1000, 340, 68725, 0, 9501, 60100, 4380, 5249, 13, 1273, 340, 24837, 327, 586, 1749, 76, 1918, 340, 1534, 1022, 536, 586, 39622, 13, 3410, 418, 586, 3769, 13, 11293, 76296, 285, 245, 3682, 2156, 34597, 8188, 837, 245, 16356, 279, 344, 3438, 1810, 13, 100001, 10830, 586, 581, 39068, 1297, 254, 34637, 58348, 69687, 5744, 11, 285, 39369, 2520, 4321, 20760, 285, 3061, 473, 857, 254, 23701, 25, 14459, 11, 38271, 11, 285, 16356, 13, 100001, 2901, 6723, 395, 543, 1529, 279, 4887, 280, 769, 2138, 11, 487, 362, 7899, 13, 207, 2901, 2395, 372, 327, 520, 3769, 11, 395, 12766, 768, 23972, 13, 4488, 340, 5418, 11, 327, 520, 64552, 317, 855, 285, 4349, 317, 3345, 276, 340, 13, 1003, 1216, 441, 1865, 1285, 276, 9974, 3073, 279, 24798, 366, 9501, 60100, 11, 6830, 1568, 285, 909, 53477, 26, 1592, 2246, 366, 634, 280, 586, 21209, 13, 36939, 594, 0, 487, 2928, 254, 58348, 280, 364, 694, 256, 14032, 642, 691, 13, 3848, 3059, 438, 25852, 366, 46846, 285, 18519, 276, 254, 51835, 280, 742, 6763, 24565, 344, 11, 372, 359, 51669, 3250, 331, 895, 31639, 11, 317, 99231, 331, 254, 79254, 366, 245, 352, 31131, 14974, 13, 433, 491, 8148, 857, 285, 586, 8602, 14725, 506, 11, 285, 75661, 6928, 7642, 280, 36038, 2373, 28426, 2237, 473, 586, 21480, 13, 1474, 362, 4133, 430, 254, 7276, 12472, 280, 254, 11383, 82, 285, 704, 27661, 3545, 11, 285, 5663, 79118, 586, 33911, 13, 1063, 4366, 245, 1228, 5778, 11, 285, 4540, 11, 44893, 2065, 586, 78530, 11, 285, 366, 586, 2607, 89456, 89691, 1062, 276, 33487, 349, 73740, 256, 13, 1474, 372, 657, 2674, 586, 13474, 33515, 704, 44055, 279, 4834, 1234, 17113, 26, 285, 1236, 1323, 657, 2373, 276, 254, 8364, 9501, 60100, 27376, 586, 21389, 13, 100001, 35, 63264, 19178, 285, 22533, 44893, 581, 13, 429, 1228, 11394, 280, 254, 6350, 22425, 39655, 1062, 5505, 13, 6367, 280, 359, 69193, 245, 1228, 3697, 372, 35503, 372, 1971, 36779, 14585, 754, 245, 1906, 84, 578, 317, 18949, 13, 100001, 549, 11383, 82, 13259, 1310, 285, 19354, 1062, 11, 285, 473, 254, 3697, 280, 364, 694, 256, 745, 2674, 581, 245, 8801, 2032, 56992, 13, 52948, 8728, 1161, 1158, 272, 254, 3207, 11, 372, 473, 14491, 745, 33378, 581, 274, 10053, 280, 25742, 20691, 344, 661, 17493, 327, 254, 4834, 279, 254, 25851, 280, 427, 506, 54874, 3970, 5897, 254, 3572, 25943, 13, 16375, 473, 254, 17188, 331, 2818, 2387, 280, 254, 6300, 23174, 28078, 2489, 5508, 51176, 13, 429, 1743, 280, 254, 5653, 778, 33137, 11, 285, 3444, 11, 521, 786, 254, 14518, 96222, 1066, 657, 6626, 11, 8271, 2146, 2602, 285, 691, 853, 2146, 2602, 704, 4174, 744, 7987, 768, 279, 245, 5532, 280, 14924, 13, 100001, 34094, 60100, 661, 3443, 254, 98108, 1883, 46803, 279, 56053, 280, 10586, 13, 100001, 29176, 766, 438, 2116, 276, 52334, 1752, 327, 254, 18466, 280, 586, 8680, 13, 22162, 254, 634, 12967, 362, 6626, 366, 39369, 2520, 11, 285, 745, 4770, 285, 23872, 438, 8473, 254, 32534, 280, 254, 18340, 285, 29969, 13, 22162, 254, 750, 12967, 2074, 457, 6626, 254, 54707, 280, 50316, 261, 285, 19895, 4658, 74717, 11, 7883, 30638, 285, 17535, 43226, 13, 1308, 786, 1319, 12967, 245, 7987, 438, 1401, 14087, 521, 4703, 11, 67013, 2237, 366, 37839, 285, 16356, 13, 1474, 279, 254, 3865, 5135, 364, 694, 256, 1066, 254, 1022, 17406, 21640, 744, 1865, 745, 6626, 254, 16512, 280, 1473, 81, 1089, 331, 254, 2116, 366, 254, 9497, 21313, 13402, 444, 786, 768, 11, 285, 331, 254, 1329, 254, 13445, 4086, 27936, 296, 366, 254, 1743, 280, 19895, 4658, 74717, 8670, 285, 4770, 11, 285, 12389, 1743, 280, 254, 25943, 280, 17518, 13, 100001, 549, 5409, 33515, 11, 285, 254, 93800, 19544, 11, 285, 25698, 376, 1343, 26, 548, 506, 11, 372, 565, 359, 778, 254, 15592, 280, 254, 1492, 11, 410, 254, 1225, 6642, 280, 521, 254, 1843, 280, 2156, 13, 1308, 636, 280, 254, 20190, 7552, 74, 254, 36968, 3441, 133, 215, 75, 2373, 366, 704, 6159, 18887, 24302, 3073, 280, 4349, 26, 285, 937, 521, 3655, 438, 76921, 13, 100001, 47, 12082, 246, 661, 31788, 31514, 366, 20040, 754, 362, 4101, 39369, 2520, 12766, 254, 3769, 285, 48237, 21675, 2860, 276, 254, 42018, 280, 254, 25943, 26, 548, 362, 661, 59407, 3177, 11, 285, 1132, 362, 6626, 13869, 40031, 70, 1089, 279, 254, 3865, 7052, 280, 92552, 256, 366, 4086, 27936, 296, 487, 82, 1743, 13, 1494, 359, 4759, 1608, 276, 857, 276, 6976, 3444, 285, 4283, 254, 17406, 3693, 280, 586, 1728, 11, 1962, 521, 438, 279, 22204, 13, 100001, 2901, 40, 4796, 50762, 438, 1285, 11, 487, 362, 4101, 3177, 5366, 11, 285, 3399, 8052, 69732, 1184, 586, 2764, 11, 1236, 372, 362, 12835, 254, 9470, 1865, 16669, 276, 254, 21640, 13, 207, 2901, 6636, 11, 1136, 11, 1132, 430, 688, 3934, 304, 2579, 4922, 10806, 862, 256, 245, 1585, 2018, 13, 1003, 1667, 6976, 2854, 11, 50762, 285, 304, 11, 285, 1962, 6976, 395, 1534, 11, 2643, 441, 30, 7384, 11, 372, 362, 317, 441, 1285, 11, 304, 3655, 362, 487, 647, 1275, 274, 7292, 1225, 13, 1474, 1132, 304, 1534, 536, 601, 1608, 13, 487, 1063, 12419, 586, 16356, 285, 4133, 430, 359, 11, 285, 254, 68849, 2005, 18294, 280, 3074, 285, 5299, 26, 285, 254, 21897, 7445, 280, 36644, 21313, 20782, 1656, 572, 271, 837, 4043, 2065, 254, 26965, 13, 207, 2901, 1567, 438, 1401, 327, 953, 1108, 274, 5064, 11, 487, 362, 2215, 13, 100001, 2901, 1847, 889, 304, 1027, 1161, 550, 344, 34637, 58348, 366, 359, 11, 937, 3308, 304, 1023, 4305, 2258, 366, 1712, 50762, 13, 7384, 11, 304, 487, 647, 1161, 550, 742, 280, 437, 24565, 326, 76497, 1323, 254, 1225, 13, 304, 4796, 304, 1027, 1019, 5559, 29626, 285, 5575, 11387, 1310, 0, 487, 2928, 1236, 372, 362, 2215, 1069, 2012, 254, 1022, 21640, 37443, 881, 768, 13, 429, 410, 5508, 82820, 457, 254, 273, 3457, 344, 2762, 1323, 254, 17188, 41639, 285, 28078, 704, 25698, 881, 254, 36720, 21836, 13, 1474, 1184, 768, 745, 2373, 1406, 3645, 581, 11, 54613, 837, 35743, 11, 245, 1228, 2607, 280, 12967, 12, 244, 64743, 636, 280, 73740, 256, 1034, 13, 33337, 250, 285, 27430, 853, 10889, 657, 778, 11, 285, 657, 778, 47286, 889, 279, 3415, 12, 34204, 21306, 280, 88256, 15692, 11, 410, 6642, 344, 438, 704, 49255, 12434, 26, 548, 657, 20010, 4078, 12675, 12075, 6791, 285, 3438, 285, 55363, 271, 6751, 49399, 408, 279, 704, 831, 10503, 4054, 13, 1926, 814, 1568, 657, 27376, 881, 254, 31369, 285, 259, 10253, 3246, 11, 55355, 272, 372, 657, 2373, 13, 100001, 13101, 245, 10955, 657, 11564, 2065, 254, 1353, 280, 254, 1743, 280, 92552, 256, 11, 285, 8896, 2065, 39593, 285, 1917, 11, 285, 5868, 285, 16352, 11, 372, 62581, 82, 362, 10794, 254, 3550, 34424, 8752, 13, 2803, 375, 12082, 246, 487, 82, 2387, 40031, 70, 1089, 438, 55607, 285, 855, 30370, 11, 285, 362, 7276, 26, 285, 254, 1228, 92916, 12, 16623, 344, 77540, 857, 1224, 18261, 855, 857, 11, 16232, 636, 245, 41390, 272, 60961, 26, 327, 1069, 7276, 21774, 744, 24626, 254, 86016, 280, 1462, 344, 657, 15188, 1224, 13, 100001, 4631, 375, 12082, 246, 78266, 33401, 11, 285, 254, 4473, 26965, 280, 80102, 12, 291, 49877, 57488, 1184, 254, 12434, 285, 2674, 4399, 881, 254, 13313, 914, 280, 254, 92916, 11, 285, 586, 3438, 5931, 2373, 307, 11885, 636, 13, 1063, 1869, 9297, 4312, 285, 2373, 43147, 1224, 837, 245, 13520, 6796, 11, 94869, 1462, 14172, 857, 13, 2901, 3139, 359, 10171, 372, 304, 35375, 359, 744, 11, 487, 586, 2215, 993, 11, 1236, 372, 359, 1278, 43116, 2302, 26, 285, 359, 14032, 245, 1585, 2383, 857, 31076, 359, 24517, 11, 3308, 16218, 359, 4759, 276, 330, 30026, 842, 430, 1562, 521, 5914, 285, 2062, 285, 5663, 13, 100001, 2280, 937, 1236, 372, 359, 79573, 2302, 881, 7654, 17943, 359, 4101, 18887, 11, 285, 657, 4759, 276, 330, 24302, 279, 742, 15503, 1843, 2367, 2330, 25, 207, 2901, 549, 45545, 418, 4321, 0, 429, 45545, 418, 4321, 0, 487, 1494, 634, 2780, 691, 375, 12082, 246, 487, 82, 2215, 88329, 13, 207, 2901, 33, 296, 957, 0, 487, 359, 993, 13, 100001, 2901, 2395, 642, 0, 2608, 2373, 279, 586, 19025, 11, 1234, 1234, 4084, 13, 1002, 317, 601, 19025, 11, 285, 359, 317, 9765, 1132, 13, 7566, 12, 22787, 0, 487, 1308, 586, 2215, 24517, 2367, 2302, 285, 586, 3545, 3505, 642, 691, 13, 27024, 207, 16, 5048, 323, 36822, 5372, 339, 4720, 9757, 8756, 38, 4852, 7421, 46850, 3177, 55803, 473, 254, 3419, 13, 1494, 245, 2780, 362, 21517, 1066, 362, 438, 11, 285, 937, 521, 254, 29999, 285, 22553, 5651, 276, 857, 13, 1063, 438, 279, 254, 4399, 4426, 4881, 254, 1090, 12, 10771, 280, 254, 410, 5508, 487, 87643, 26, 895, 92380, 11394, 778, 7574, 13, 1063, 1534, 463, 14844, 55607, 754, 362, 65841, 3177, 2481, 768, 26, 548, 946, 1234, 362, 661, 72876, 745, 362 ]
[ 100000, 11, 487, 362, 34456, 11, 207, 2901, 384, 2367, 2302, 13, 429, 1143, 1062, 11, 565, 745, 317, 634, 11, 5014, 2882, 254, 17165, 13, 487, 1063, 1027, 441, 5476, 285, 362, 4586, 245, 16761, 366, 3177, 13, 207, 2901, 6636, 11, 1865, 1132, 11, 395, 487, 313, 2368, 2018, 853, 340, 18936, 11, 487, 362, 993, 352, 15087, 1214, 13, 207, 2901, 33, 51475, 1136, 12344, 13, 304, 35442, 395, 17033, 3222, 254, 5013, 1323, 395, 8583, 13, 100001, 4711, 691, 1492, 543, 536, 359, 13, 487, 1308, 937, 362, 24882, 13, 100001, 2901, 7390, 487, 83, 330, 245, 12192, 11, 7421, 42724, 49675, 11, 487, 2373, 274, 3510, 279, 586, 1377, 5136, 13, 100001, 2901, 2450, 2115, 487, 83, 614, 1913, 1492, 837, 344, 11, 565, 362, 13412, 430, 521, 13, 1308, 340, 481, 487, 83, 614, 331, 1266, 4172, 5749, 857, 521, 254, 2354, 285, 1094, 280, 254, 3427, 13, 487, 207, 2901, 40, 481, 614, 331, 245, 1207, 1143, 2451, 11, 285, 304, 543, 13, 487, 207, 2901, 9595, 276, 30, 487, 207, 2901, 1898, 254, 17165, 11, 280, 2629, 13, 487, 207, 2901, 2395, 856, 937, 11, 7421, 42724, 49675, 11, 856, 937, 30, 2473, 340, 752, 745, 11, 856, 418, 340, 1872, 276, 536, 30, 1063, 2115, 487, 83, 330, 2249, 276, 536, 3270, 327, 3177, 13, 487, 2158, 586, 43876, 7421, 12621, 344, 362, 661, 441, 2149, 274, 3510, 276, 437, 13, 100001, 2450, 661, 642, 3662, 3257, 430, 521, 13, 21675, 2860, 661, 441, 13451, 1266, 276, 857, 280, 586, 58205, 11, 285, 7421, 889, 4437, 51409, 344, 254, 26500, 661, 13505, 276, 330, 1957, 881, 254, 4043, 13, 207, 2901, 549, 7011, 8428, 280, 78521, 11, 487, 362, 35351, 11, 254, 1712, 1210, 12698, 276, 586, 2764, 13, 207, 2901, 6636, 11, 565, 9890, 7466, 946, 276, 1275, 768, 11, 304, 1113, 487, 83, 13, 487, 207, 2901, 2960, 340, 418, 0, 487, 2373, 254, 3510, 13, 207, 2901, 1385, 487, 82, 521, 3148, 19718, 13, 1063, 993, 558, 3177, 13, 1257, 418, 254, 12192, 11, 1872, 331, 14603, 285, 276, 5969, 13, 1257, 1027, 463, 72876, 1224, 285, 5418, 276, 5476, 2854, 2507, 4084, 11, 565, 340, 17990, 487, 83, 803, 558, 83050, 13, 1474, 340, 487, 647, 6976, 953, 254, 1246, 11, 410, 9507, 13, 1257, 1667, 953, 372, 1136, 9279, 1224, 1132, 285, 2102, 359, 581, 13, 1257, 487, 647, 1866, 752, 276, 254, 1869, 12344, 13, 487, 207, 2901, 40, 487, 647, 752, 745, 11, 565, 304, 4283, 3694, 548, 601, 18797, 4435, 11, 487, 993, 7421, 13, 207, 2901, 2280, 304, 487, 647, 5652, 2195, 13, 21675, 2860, 581, 4367, 11, 565, 359, 16905, 601, 1062, 285, 2997, 13, 2086, 3070, 41021, 0, 487, 2803, 344, 2780, 7421, 4749, 245, 11270, 256, 279, 254, 3419, 14172, 857, 11, 285, 362, 4101, 410, 91264, 245, 4399, 9409, 16183, 966, 372, 280, 22001, 53682, 1090, 254, 6039, 13, 2071, 438, 245, 8749, 3074, 24138, 344, 267, 811, 69133, 1090, 254, 16785, 285, 7648, 2302, 13, 429, 17165, 1653, 25119, 96957, 13, 100001, 549, 1562, 6351, 280, 704, 8398, 276, 508, 13965, 734, 246, 2373, 11, 285, 359, 438, 608, 2649, 1086, 280, 3427, 13, 809, 10471, 4426, 11, 441, 889, 1373, 280, 254, 1161, 11819, 280, 254, 17165, 25, 745, 4759, 276, 330, 245, 10955, 4321, 581, 11, 285, 2302, 276, 254, 8868, 12, 31755, 745, 438, 245, 63722, 280, 2156, 34118, 1090, 254, 3438, 36837, 13, 100001, 79191, 292, 280, 521, 11, 254, 3207, 438, 2201, 280, 84431, 26, 23159, 438, 20450, 285, 3915, 11, 285, 245, 79206, 1566, 2373, 331, 768, 11, 558, 344, 657, 55034, 285, 2752, 7276, 13, 1308, 2618, 704, 73890, 1216, 441, 6915, 11, 285, 657, 29213, 331, 13, 100001, 549, 17165, 39262, 581, 2647, 23479, 11, 2645, 11, 565, 657, 18949, 704, 6751, 11991, 11, 359, 8148, 521, 704, 7702, 11, 79934, 10999, 1323, 768, 25, 245, 6791, 2929, 280, 16637, 285, 1906, 361, 285, 21861, 8665, 11, 636, 280, 588, 245, 30084, 12, 35029, 22163, 438, 8473, 881, 254, 16785, 13, 12337, 254, 1492, 5509, 50537, 9765, 285, 1927, 2653, 2373, 1310, 657, 661, 68759, 285, 38950, 276, 895, 1079, 5144, 13, 100001, 3220, 245, 85694, 21675, 2860, 4733, 3177, 331, 254, 3419, 13, 7421, 2659, 457, 857, 13, 100001, 1898, 586, 10782, 362, 4749, 13400, 548, 25122, 11, 285, 586, 1917, 4759, 3662, 1310, 13, 2366, 691, 50263, 31770, 586, 2764, 13, 1063, 4437, 521, 254, 42101, 12, 273, 713, 280, 22553, 285, 744, 441, 9031, 276, 768, 13, 3848, 543, 438, 845, 11, 285, 889, 4349, 744, 2973, 359, 13, 1063, 4749, 642, 4172, 2818, 8836, 410, 933, 280, 5476, 11, 548, 3272, 280, 4348, 17943, 13, 1063, 4437, 344, 521, 254, 47823, 285, 77643, 778, 1132, 10894, 2854, 276, 245, 1420, 25, 254, 2112, 1492, 744, 330, 245, 1492, 280, 48237, 11, 254, 1492, 280, 2328, 7038, 410, 21666, 11, 254, 1562, 85694, 13, 100001, 2395, 754, 744, 359, 1865, 30, 429, 2653, 4759, 23235, 285, 49993, 11, 8298, 1166, 8298, 13520, 5030, 285, 7227, 581, 276, 642, 9989, 5064, 11, 11973, 642, 2262, 13, 7421, 4732, 276, 3860, 565, 245, 1864, 16342, 661, 17070, 285, 642, 1492, 744, 2647, 298, 36183, 13, 2803, 1562, 362, 75400, 271, 327, 21675, 2860, 487, 82, 1297, 13, 809, 438, 6159, 285, 31345, 13, 3848, 5738, 438, 80633, 13, 100001, 2901, 40, 3320, 487, 83, 9090, 276, 463, 2116, 601, 31228, 4435, 11, 487, 35351, 7421, 26, 285, 13595, 1224, 362, 3657, 276, 5186, 21675, 2860, 366, 586, 7921, 285, 3123, 13, 100001, 4631, 5476, 3061, 857, 11, 285, 254, 4165, 2156, 280, 254, 1562, 1492, 280, 704, 1796, 1503, 768, 2387, 457, 2387, 13, 429, 5409, 661, 14844, 254, 1492, 1323, 372, 359, 26896, 473, 254, 5653, 11, 285, 1132, 359, 2373, 473, 254, 5226, 285, 4732, 276, 8307, 26, 285, 9405, 254, 2156, 280, 254, 38098, 5071, 28323, 1224, 881, 254, 25851, 1066, 254, 38501, 11834, 2762, 13, 100001, 2901, 4388, 327, 359, 0, 4201, 327, 254, 1562, 85694, 0, 487, 993, 7421, 372, 362, 29213, 276, 586, 5144, 13, 1063, 18261, 855, 21675, 2860, 11, 428, 24777, 857, 18317, 13, 21675, 2860, 63211, 26, 548, 366, 245, 1228, 7038, 280, 543, 362, 55034, 581, 26, 285, 937, 362, 7276, 2065, 586, 20661, 1310, 13, 1063, 8473, 586, 3545, 366, 11437, 276, 254, 4426, 45021, 280, 7408, 78521, 68422, 2330, 857, 11, 285, 937, 63255, 326, 362, 4732, 276, 46249, 4312, 331, 586, 4054, 13, 100001, 22407, 4133, 430, 857, 285, 46039, 279, 586, 2997, 11, 548, 642, 12867, 2373, 276, 586, 6989, 285, 352, 31131, 3545, 13, 207, 2901, 40, 993, 304, 487, 67, 5652, 857, 11, 565, 359, 11564, 601, 1062, 11, 487, 362, 35351, 11, 207, 2901, 384, 304, 543, 0, 487, 207, 2901, 17095, 11, 2195, 13, 21675, 2860, 0, 487, 362, 7899, 13, 207, 2901, 40, 481, 487, 83, 5652, 359, 327, 340, 11, 548, 304, 481, 2124, 21675, 2860, 52987, 2065, 586, 1062, 11, 7921, 49971, 786, 586, 10225, 11, 12882, 52364, 23258, 1090, 586, 7921, 11, 7421, 55034, 276, 586, 5144, 26, 285, 937, 276, 586, 46846, 362, 4749, 254, 18953, 2156, 13, 1063, 661, 26619, 344, 362, 744, 463, 21300, 6313, 276, 10622, 586, 5738, 5254, 11, 285, 5897, 344, 362, 661, 4061, 276, 4127, 279, 254, 27723, 37331, 4297, 280, 254, 909, 53477, 26500, 13, 1474, 359, 438, 441, 558, 13, 12562, 1373, 21675, 2860, 438, 558, 16870, 457, 586, 1234, 30766, 11, 20401, 280, 19340, 11, 285, 74660, 625, 50969, 11, 285, 19506, 11, 5663, 11, 285, 32169, 32802, 11, 410, 1373, 742, 8292, 280, 2328, 6313, 438, 2028, 276, 857, 11, 7421, 18949, 21675, 2860, 366, 642, 691, 11437, 853, 565, 362, 778, 13552, 245, 38501, 3390, 12, 5953, 20046, 12, 64, 12, 1888, 279, 742, 5460, 79, 331, 254, 81773, 410, 12245, 13063, 280, 254, 1783, 641, 13, 1063, 3061, 245, 4399, 9004, 285, 3805, 842, 13, 100001, 5490, 661, 6889, 254, 17165, 487, 82, 4414, 331, 895, 18073, 2387, 11, 285, 245, 1585, 276, 254, 59335, 26, 745, 895, 1234, 14518, 45021, 11, 2451, 7488, 11, 778, 441, 30084, 13, 21675, 2860, 1216, 441, 3753, 11, 285, 558, 7421, 29213, 331, 372, 1608, 362, 1027, 11, 2497, 642, 15594, 548, 254, 543, 276, 23170, 372, 1461, 372, 1667, 330, 1323, 586, 6313, 4366, 636, 285, 586, 543, 11564, 13, 2426, 362, 276, 5744, 11, 581, 285, 581, 11, 9860, 437, 1143, 285, 344, 276, 61054, 254, 23764, 11, 2752, 71479, 4312, 11, 285, 430, 254, 1562, 64370, 837, 245, 98164, 366, 245, 6751, 18953, 331, 895, 1062, 13, 2473, 586, 543, 1027, 3797, 857, 642, 3572, 11, 285, 586, 32004, 4366, 1143, 11, 362, 8583, 285, 9835, 586, 5738, 18317, 1224, 13, 100001, 53556, 2860, 6899, 586, 3545, 285, 12419, 245, 9004, 13, 809, 438, 7292, 276, 29620, 581, 1285, 2330, 254, 298, 5011, 344, 980, 5744, 285, 58433, 1224, 2877, 13, 207, 2901, 9101, 340, 11, 7421, 11, 487, 362, 993, 279, 245, 40095, 28174, 13, 207, 2901, 2819, 2367, 317, 745, 276, 614, 30, 487, 207, 2901, 40, 1113, 487, 83, 1006, 11, 487, 993, 7421, 11, 207, 2901, 13312, 304, 1113, 487, 83, 1006, 1066, 395, 487, 248, 1872, 13, 487, 1063, 4133, 1062, 11, 285, 937, 362, 4133, 581, 26, 285, 362, 438, 31750, 276, 1019, 946, 2367, 586, 1562, 7038, 661, 4832, 857, 13, 429, 17165, 8898, 70421, 285, 5254, 661, 4133, 30182, 853, 359, 438, 13, 7421, 3505, 1132, 344, 359, 438, 2246, 35246, 853, 254, 1461, 16150, 280, 254, 12788, 4116, 9497, 21313, 511, 588, 362, 285, 21675, 2860, 661, 30635, 13, 429, 14970, 285, 68889, 17459, 280, 895, 1228, 3252, 8728, 327, 6642, 1853, 8357, 5144, 2330, 254, 8800, 11, 285, 2330, 768, 438, 69633, 3222, 372, 1461, 1310, 895, 8670, 6327, 22163, 11, 837, 245, 10999, 269, 540, 410, 42290, 61840, 366, 245, 98274, 70798, 13, 1474, 2571, 7421, 438, 691, 853, 3222, 1143, 581, 254, 3252, 11, 285, 254, 8800, 280, 73740, 256, 1034, 438, 4165, 2877, 857, 11, 19878, 279, 267, 2260, 285, 13423, 13, 1733, 362, 4133, 581, 362, 744, 463, 2028, 245, 14581, 11, 565, 586, 1112, 2910, 21480, 661, 5987, 857, 26, 327, 18872, 254, 38798, 2429, 833, 285, 17459, 2330, 857, 362, 3505, 29224, 245, 3088, 410, 4559, 13, 809, 32545, 837, 245, 12698, 93740, 473, 254, 11348, 285, 20401, 4505, 559, 51081, 786, 254, 17165, 11, 2645, 1323, 359, 2674, 4078, 636, 280, 2343, 359, 6889, 254, 4414, 280, 254, 22163, 2065, 895, 23535, 2387, 13, 3441, 24011, 344, 565, 362, 1027, 889, 13564, 331, 953, 245, 1585, 1143, 3572, 581, 11, 657, 744, 15207, 437, 3088, 13, 338, 53353, 280, 3655, 5651, 276, 857, 13, 1955, 1667, 22255, 254, 17165, 2618, 13, 207, 2901, 6568, 11, 359, 1667, 463, 803, 1957, 745, 245, 12, 30714, 0, 487, 362, 993, 276, 3177, 13, 207, 2901, 1847, 359, 6740, 487, 83, 745, 11, 304, 487, 67, 463, 276, 1481, 304, 438, 26354, 279, 254, 1225, 13, 487, 429, 3088, 438, 441, 1957, 745, 327, 254, 9993, 280, 7421, 13, 1063, 1216, 441, 1006, 359, 11, 548, 362, 438, 2709, 430, 9501, 60100, 487, 82, 9862, 473, 4643, 308, 12, 678, 133, 215, 428, 4520, 247, 7421, 664, 15632, 332, 11, 254, 54545, 280, 11365, 13, 6367, 473, 254, 17514, 25943, 487, 82, 6791, 17868, 8364, 359, 2373, 855, 245, 4399, 76092, 457, 245, 10999, 10175, 280, 8752, 11, 285, 937, 9989, 881, 254, 8800, 359, 7279, 327, 245, 17099, 1439, 984, 20870, 496, 281, 1405, 11, 285, 558, 6889, 245, 1234, 74676, 4309, 1411, 344, 5426, 581, 331, 276, 254, 17165, 487, 82, 23535, 2387, 13, 429, 1268, 11, 9860, 285, 71347, 51737, 521, 895, 5505, 3459, 393, 473, 8868, 276, 8687, 11, 359, 32545, 430, 1562, 11, 1461, 279, 254, 6909, 22163, 11, 548, 1592, 2367, 473, 254, 298, 1795, 272, 27873, 11, 276, 245, 4426, 15157, 344, 32182, 1062, 12450, 6044, 276, 254, 21415, 280, 254, 30607, 279, 9501, 60100, 487, 82, 13423, 12, 37359, 1215, 45110, 13, 28862, 19283, 410, 16298, 457, 254, 45571, 82, 280, 254, 17165, 487, 82, 6874, 2265, 11, 1958, 344, 4559, 438, 34591, 285, 22446, 1310, 457, 254, 66102 ]
[ 100000, 13, 100001, 53556, 2860, 643, 245, 2018, 1917, 327, 344, 3734, 280, 2421, 13, 487, 207, 2901, 40, 933, 642, 3592, 11, 487, 993, 65771, 807, 11, 779, 661, 1865, 581, 366, 8427, 23280, 11, 285, 438, 36545, 636, 1323, 857, 366, 245, 8387, 2156, 279, 586, 4399, 3545, 13, 207, 2901, 2960, 317, 254, 3114, 1066, 769, 29436, 5168, 280, 1712, 11, 285, 395, 463, 35386, 254, 3324, 280, 1462, 14499, 881, 1313, 2722, 280, 8991, 285, 280, 8665, 11, 285, 881, 1313, 11688, 285, 29915, 13, 1955, 2039, 8670, 279, 769, 15763, 25, 4643, 1758, 11, 1981, 348, 559, 11, 1783, 511, 84, 133, 215, 81, 13, 100001, 2901, 11723, 2561, 1323, 463, 304, 2826, 768, 473, 60144, 279, 36883, 1728, 11, 548, 304, 1006, 768, 285, 704, 4773, 11, 327, 1090, 768, 11012, 17834, 1758, 308, 12, 678, 133, 215, 273, 11, 254, 51198, 2713, 67, 785, 11, 344, 317, 1132, 2424, 254, 6350, 38125, 11, 364, 6045, 279, 254, 1473, 85, 844, 16777, 13, 770, 11420, 11125, 4643, 1758, 246, 1684, 11, 254, 5773, 34321, 11, 17426, 2872, 53813, 7846, 26, 285, 5897, 857, 418, 8584, 1896, 479, 285, 15895, 88, 2392, 25, 76115, 13846, 296, 254, 7883, 11, 285, 28134, 6875, 5086, 254, 25260, 11, 344, 395, 1282, 1981, 348, 559, 30784, 296, 285, 48861, 2181, 511, 84, 133, 215, 81, 13, 100001, 2901, 2960, 254, 33480, 88, 34188, 18598, 11, 285, 1439, 704, 7921, 11012, 254, 4399, 12, 17470, 271, 17432, 588, 395, 2977, 7654, 25, 15026, 261, 341, 65, 9460, 11, 254, 16865, 48687, 35187, 11, 588, 254, 1473, 1606, 1282, 461, 384, 19661, 348, 277, 13, 487, 207, 2901, 1385, 317, 327, 254, 16865, 48687, 35187, 344, 395, 418, 2883, 11, 487, 993, 39369, 2520, 13, 207, 2901, 1847, 395, 23170, 254, 1452, 344, 317, 2424, 254, 5773, 34321, 22425, 11, 1090, 254, 2367, 2387, 280, 2872, 53813, 7846, 11, 395, 2786, 1865, 1224, 457, 254, 16865, 48687, 14969, 348, 881, 254, 4399, 70140, 280, 254, 414, 9738, 1606, 13, 2071, 11012, 254, 12160, 81, 561, 669, 11, 285, 745, 254, 9321, 17535, 75, 738, 26583, 279, 895, 54084, 30684, 13, 487, 207, 2901, 36608, 317, 254, 2354, 280, 721, 247, 1215, 12, 5915, 133, 215, 3492, 11, 487, 993, 65771, 807, 11, 207, 2901, 384, 6159, 418, 254, 30684, 280, 721, 30948, 12, 2490, 133, 215, 1425, 13, 2682, 2997, 11270, 7662, 430, 254, 2215, 344, 304, 975, 1019, 768, 3444, 13, 487, 207, 2901, 8894, 340, 463, 8810, 280, 254, 7702, 11, 601, 1207, 33466, 2081, 487, 993, 39369, 2520, 13, 100001, 2901, 2395, 6851, 340, 975, 536, 11, 395, 430, 2754, 2977, 4152, 279, 344, 17432, 13, 1003, 1534, 614, 1224, 254, 17535, 75, 738, 881, 254, 6486, 16763, 11, 285, 558, 276, 254, 6982, 9321, 11, 285, 937, 16324, 487, 1063, 24882, 13, 100001, 2901, 5661, 11, 285, 1066, 937, 30, 487, 3637, 50762, 13, 100001, 2901, 1898, 254, 1225, 280, 254, 8398, 207, 891, 279, 254, 1225, 11, 487, 993, 39369, 2520, 13, 207, 2901, 1380, 2977, 1068, 1653, 2367, 8450, 13, 3960, 450, 330, 7684, 344, 254, 1022, 6351, 317, 15712, 855, 13, 100001, 40, 1378, 395, 543, 1610, 1285, 11, 441, 889, 3571, 548, 19635, 372, 1136, 13, 2071, 317, 245, 49787, 3207, 786, 54182, 246, 13, 21992, 11626, 1534, 330, 12795, 245, 3085, 1323, 359, 22268, 83420, 254, 1473, 1606, 11, 565, 2561, 657, 48066, 745, 13, 487, 1265, 1132, 5175, 768, 13, 9315, 304, 4704, 254, 18134, 32553, 768, 25, 4399, 657, 582, 1781, 450, 11, 4770, 657, 35386, 450, 11, 1461, 657, 2297, 271, 450, 26, 548, 657, 418, 5418, 13, 1955, 418, 5418, 13, 1955, 14144, 254, 32711, 660, 1234, 4084, 13, 487, 2608, 4421, 657, 11769, 245, 4043, 279, 245, 4399, 24924, 85914, 7110, 457, 1228, 36169, 280, 85085, 11, 285, 704, 23374, 12, 65474, 438, 5746, 7009, 853, 359, 661, 803, 1962, 657, 845, 636, 13, 1955, 1216, 441, 25683, 276, 3853, 12769, 11, 327, 657, 4061, 276, 463, 521, 254, 2653, 276, 5476, 279, 11, 285, 657, 1216, 441, 2059, 276, 614, 331, 1310, 2645, 254, 6787, 280, 254, 2112, 1492, 13, 9315, 52334, 1752, 438, 13117, 285, 42673, 13, 4128, 245, 1477, 362, 2116, 254, 7947, 285, 39463, 331, 276, 254, 34496, 26, 745, 362, 6626, 279, 254, 13423, 280, 245, 5330, 11, 2709, 636, 8868, 2849, 285, 11348, 2849, 11, 366, 586, 1917, 44294, 372, 565, 362, 438, 12734, 13, 100001, 4631, 362, 5651, 276, 254, 63330, 280, 254, 42014, 285, 4133, 1224, 430, 254, 3072, 19640, 285, 6807, 13, 100001, 2901, 2640, 317, 254, 3502, 11, 6536, 1421, 30, 487, 50762, 2424, 581, 13, 207, 2901, 2640, 418, 340, 2709, 327, 30, 3132, 340, 3610, 254, 7952, 17902, 30, 487, 207, 2901, 3233, 6031, 11, 487, 362, 7589, 13, 207, 2901, 2395, 304, 3610, 1874, 13, 304, 463, 803, 279, 254, 3085, 280, 54182, 246, 279, 1313, 20404, 13, 2366, 22503, 23404, 1285, 1132, 11, 548, 1313, 750, 21774, 3530, 1285, 430, 521, 2602, 11, 4398, 12789, 13, 11169, 1132, 521, 2012, 548, 340, 418, 13117, 13, 304, 481, 2213, 359, 13, 2071, 317, 642, 3066, 327, 6593, 786, 450, 11, 285, 520, 18887, 1751, 276, 1099, 254, 3419, 6393, 13, 304, 536, 441, 2579, 359, 13, 487, 39369, 2520, 4133, 581, 366, 6363, 2190, 13, 207, 2901, 2395, 856, 536, 340, 6384, 317, 254, 2806, 30, 487, 362, 3637, 13, 207, 2901, 3110, 745, 691, 279, 359, 853, 10782, 430, 7123, 2685, 38501, 11834, 11, 441, 276, 4365, 254, 1610, 280, 450, 11, 1066, 1245, 418, 558, 24496, 2826, 410, 4101, 30, 487, 207, 2901, 40, 3655, 344, 317, 359, 11, 487, 7589, 52334, 1752, 13, 207, 2901, 2395, 304, 463, 245, 3078, 280, 4348, 12, 4238, 1465, 11, 285, 280, 5663, 11, 344, 304, 463, 1866, 661, 1285, 1323, 13, 487, 207, 2901, 4631, 395, 1534, 330, 691, 11955, 11, 487, 993, 39369, 2520, 13, 207, 2901, 1847, 340, 3792, 245, 63341, 366, 340, 11, 359, 317, 1136, 276, 2622, 5379, 276, 857, 11, 4398, 565, 254, 63341, 317, 52334, 1752, 13, 1003, 1534, 3070, 6807, 30294, 11, 1610, 17987, 11, 285, 845, 254, 4348, 13, 487, 809, 438, 7421, 487, 82, 1947, 344, 1492, 276, 1529, 254, 1022, 4348, 11, 548, 52334, 1752, 10213, 857, 13, 429, 3072, 7276, 20208, 13, 2928, 254, 12114, 10318, 2645, 1236, 7421, 4749, 359, 13, 429, 23159, 280, 254, 5476, 408, 1027, 330, 29224, 4101, 13, 429, 1971, 844, 280, 254, 40364, 487, 82, 9960, 285, 254, 25200, 17876, 280, 586, 5144, 5322, 12724, 43665, 13, 7421, 1027, 4704, 586, 1377, 31949, 1267, 1379, 11, 565, 362, 38087, 13, 20241, 12114, 438, 1983, 857, 11, 285, 855, 521, 11704, 245, 3662, 5501, 9539, 11, 372, 254, 5071, 19354, 581, 473, 254, 7952, 13, 42159, 279, 254, 5178, 245, 4426, 13825, 7676, 11, 285, 10318, 11, 285, 17354, 8687, 837, 15892, 14463, 279, 254, 5409, 13, 17410, 26, 548, 1323, 1234, 7421, 1027, 1019, 327, 3177, 856, 438, 21054, 13, 100001, 37, 19644, 280, 12789, 11, 15892, 430, 1228, 4583, 11, 778, 11712, 272, 285, 89482, 11, 285, 84010, 521, 254, 3114, 372, 565, 657, 778, 12095, 327, 1874, 26, 285, 657, 778, 28150, 10894, 23479, 13, 100001, 2901, 34058, 7372, 285, 1592, 0, 487, 586, 15646, 52334, 1752, 11, 21994, 7421, 1224, 881, 254, 17920, 280, 245, 85085, 12, 66461, 26, 327, 245, 3000, 29208, 280, 12789, 661, 7488, 2302, 8963, 473, 254, 1969, 3697, 11, 285, 2373, 11, 15892, 2495, 11, 6044, 5135, 254, 34496, 13, 7421, 2215, 657, 778, 245, 2447, 280, 7762, 280, 2317, 2408, 13, 1733, 657, 5079, 22241, 11, 279, 558, 17777, 245, 47243, 344, 704, 13423, 5496, 768, 4426, 326, 855, 254, 3419, 2877, 11, 634, 23595, 12497, 559, 438, 4101, 13, 100001, 3647, 2645, 657, 661, 74482, 1215, 881, 254, 5013, 11, 8687, 285, 11348, 11, 285, 254, 9539, 438, 1310, 3662, 744, 52334, 1752, 8307, 13, 2928, 362, 27376, 581, 285, 2674, 285, 259, 27406, 39369, 2520, 13, 100001, 2901, 5117, 5307, 280, 3438, 258, 3197, 418, 15892, 855, 521, 254, 3114, 1439, 254, 34188, 285, 254, 25260, 84409, 11, 487, 362, 993, 11, 207, 2901, 384, 657, 463, 5079, 855, 54182, 246, 13, 1955, 418, 441, 26977, 1285, 26, 657, 418, 1267, 65, 444, 636, 280, 84700, 1752, 285, 15612, 1569, 13, 304, 536, 441, 1006, 856, 657, 418, 786, 25, 8658, 745, 317, 742, 8168, 2302, 8868, 473, 588, 657, 418, 72744, 26, 548, 304, 1378, 657, 418, 735, 4627, 636, 254, 3114, 13, 304, 463, 839, 70883, 271, 1313, 35621, 710, 15892, 1461, 581, 279, 254, 9539, 13, 304, 1378, 395, 9090, 276, 2938, 1310, 437, 6787, 13, 100001, 39, 3237, 246, 317, 642, 4172, 49787, 327, 450, 25, 359, 317, 1435, 12835, 13, 487, 207, 2901, 2280, 279, 344, 1460, 558, 317, 254, 5773, 34321, 22425, 11, 487, 993, 39369, 2520, 26, 207, 2901, 384, 946, 395, 481, 752, 855, 344, 1673, 1435, 2826, 11, 304, 2977, 10743, 13, 1474, 395, 543, 1378, 280, 344, 754, 395, 1534, 13, 1733, 327, 6546, 372, 3444, 372, 359, 317, 4426, 11, 304, 608, 10297, 344, 340, 418, 1329, 13, 487, 207, 2901, 83157, 769, 4043, 1401, 1585, 14463, 11, 285, 661, 21861, 2495, 1323, 254, 1267, 65, 444, 2373, 11, 487, 993, 52334, 1752, 13, 207, 2901, 1385, 1534, 330, 1957, 636, 285, 441, 11769, 1310, 13, 487, 207, 2901, 6636, 565, 344, 4269, 487, 83, 245, 45967, 285, 245, 57573, 0, 487, 993, 375, 12082, 246, 13, 429, 4921, 25, 642, 4043, 11, 285, 245, 2938, 1310, 457, 2653, 11, 661, 803, 7488, 276, 857, 11, 372, 3444, 372, 362, 33734, 279, 254, 5189, 9939, 13, 207, 2901, 3315, 1373, 280, 245, 2390, 280, 258, 3197, 0, 304, 661, 4133, 4312, 276, 245, 1590, 1207, 12134, 19635, 25, 1874, 3550, 13, 487, 207, 2901, 6636, 11, 340, 481, 614, 331, 2709, 4312, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2960, 975, 330, 1313, 14480, 749, 11821, 8450, 327, 340, 13, 1494, 4367, 304, 1023, 837, 245, 14892, 276, 14463, 279, 5186, 11, 285, 39034, 5144, 13, 3159, 11, 395, 418, 2569, 280, 634, 2421, 430, 688, 3934, 25, 359, 543, 752, 39034, 372, 395, 752, 8868, 13, 487, 207, 2901, 36425, 6284, 11, 304, 12871, 487, 83, 3860, 11, 487, 35351, 7421, 276, 21675, 2860, 13, 207, 2901, 2395, 304, 487, 76, 6278, 276, 1378, 359, 487, 82, 766, 395, 2149, 245, 7702, 280, 344, 417, 1369, 88, 17165, 11, 285, 3505, 254, 1225, 280, 254, 9862, 11, 558, 276, 3753, 13, 304, 2215, 430, 1022, 344, 437, 1285, 5773, 34321, 11, 410, 6851, 895, 1210, 317, 11, 1667, 330, 359, 11, 6309, 65771, 807, 8921, 586, 5836, 13, 338, 4770, 25513, 12, 7237, 31428, 33466, 12, 15078, 1534, 330, 0, 487, 31954, 40678, 3011, 276, 7421, 487, 82, 2764, 11, 285, 521, 20421, 279, 1069, 8387, 3114, 782, 60625, 855, 1132, 285, 1310, 26, 548, 372, 254, 259, 12651, 272, 5071, 10318, 3074, 657, 20027, 8868, 2849, 13, 2803, 50537, 254, 7947, 845, 636, 11, 285, 9860, 1132, 3222, 12450, 657, 82202, 704, 2629, 5135, 2872, 53813, 7846, 11, 588, 2367, 2302, 1592, 91124, 55479, 3074, 279, 254, 1562, 2156, 280, 254, 35638, 5071, 13, 100001, 4711, 457, 634, 3682, 7524, 27376, 8188, 372, 254, 9539, 37583, 13, 100001, 9547, 2269, 457, 52334, 1752, 657, 11921, 245, 1207, 3088, 13, 809, 4133, 276, 21675, 2860, 837, 254, 7544, 280, 274, 10641, 4559, 11, 344, 661, 2561, 803, 5846, 285, 1136, 14291, 11, 473, 54182, 246, 276, 254, 11072, 12, 4816, 13, 429, 20992, 11, 1132, 430, 254, 2201, 11, 8728, 855, 254, 14499, 11, 285, 4733, 245, 14211, 2156, 279, 588, 254, 25851, 280, 18134, 778, 3438, 13, 8410, 280, 768, 4133, 276, 463, 803, 5168, 457, 4054, 11, 2451, 1132, 657, 2762, 68889, 285, 22204, 625, 279, 245, 68220, 11, 49287, 3114, 13, 100001, 1385, 438, 254, 6159, 28599, 5064, 1323, 254, 1022, 13586, 280, 23608, 11, 285, 254, 12780, 438, 2495, 13, 21675, 2860, 4133, 581, 430, 254, 9539, 13, 41554, 362, 3505, 410, 4749, 245, 13423, 1452, 855, 254, 1461, 7524, 11, 372, 565, 327, 245, 2780, 657, 37583, 285, 937, 38833, 636, 1310, 13, 1063, 90055 ]
[ 100000, 207, 891, 565, 362, 7466, 254, 2012, 344, 395, 463, 4101, 30, 487, 207, 2901, 549, 4313, 344, 340, 2088, 11, 452, 5876, 256, 11, 418, 3080, 2854, 11, 487, 993, 1473, 81, 1089, 13, 207, 2901, 40, 661, 441, 36994, 768, 11, 285, 657, 2786, 330, 7589, 13, 1474, 1069, 2012, 359, 317, 254, 697, 280, 39369, 2520, 276, 1099, 3662, 26, 285, 304, 1282, 2065, 857, 1562, 11, 327, 359, 317, 254, 1810, 280, 14721, 11, 285, 279, 521, 437, 3502, 362, 643, 803, 254, 8037, 13, 487, 207, 2901, 7516, 11, 452, 5876, 256, 11, 487, 993, 39369, 2520, 11, 207, 2901, 8502, 1378, 254, 58285, 280, 452, 789, 21313, 279, 11, 285, 254, 25595, 280, 21675, 2860, 11, 5637, 2527, 344, 254, 3222, 2237, 487, 82, 3464, 313, 317, 245, 2421, 280, 1228, 4531, 276, 254, 75425, 13, 11169, 359, 317, 245, 7987, 13, 2461, 937, 30, 429, 46574, 254, 36968, 3441, 133, 215, 75, 2240, 13, 429, 32273, 418, 3443, 410, 16298, 13, 487, 2803, 437, 452, 789, 21313, 246, 38087, 11, 548, 1216, 441, 3753, 13, 207, 2901, 549, 14863, 395, 1006, 280, 13, 2461, 937, 317, 437, 634, 344, 362, 25372, 558, 1266, 30, 207, 2901, 2960, 317, 6031, 245, 5505, 9974, 280, 766, 1439, 254, 9321, 285, 254, 17165, 11, 1439, 254, 4257, 285, 254, 7526, 13, 1474, 254, 11474, 279, 254, 1006, 12, 64902, 280, 254, 58300, 643, 803, 8148, 430, 1562, 13, 11169, 1653, 9405, 13, 1494, 254, 75425, 643, 803, 3415, 4435, 11, 11765, 1236, 853, 304, 26619, 13, 1308, 1136, 317, 359, 344, 441, 2645, 437, 1012, 11, 437, 1079, 6237, 11, 372, 359, 3354, 11, 1216, 362, 3071, 254, 2201, 5919, 13, 100001, 2901, 7516, 1285, 543, 5175, 344, 1313, 1555, 4084, 304, 4367, 30725, 276, 1452, 254, 11394, 280, 254, 80221, 421, 12745, 279, 19895, 452, 37301, 332, 11, 285, 39841, 25827, 586, 4703, 11, 285, 1503, 4117, 344, 769, 23407, 778, 1927, 25, 362, 438, 5249, 750, 853, 9501, 60100, 11, 769, 75425, 280, 1712, 11, 430, 3973, 3950, 6775, 285, 1823, 1310, 13, 4754, 11, 1653, 11, 543, 5175, 839, 344, 10898, 8379, 696, 12, 679, 10253, 450, 473, 1721, 31977, 2481, 857, 11, 285, 327, 1234, 395, 12835, 857, 889, 13, 11169, 430, 1562, 11, 372, 586, 13423, 10318, 11, 10898, 8379, 34237, 11, 285, 254, 9288, 1957, 8188, 895, 6313, 285, 17354, 254, 11626, 636, 280, 12160, 74, 5694, 207, 891, 285, 344, 438, 279, 254, 1079, 1012, 280, 254, 7526, 280, 437, 26500, 25, 245, 8387, 5518, 11, 565, 5518, 359, 438, 13, 100001, 2901, 2395, 395, 778, 1653, 5189, 11, 372, 1473, 81, 1089, 56817, 2268, 13, 9501, 60100, 839, 661, 12835, 450, 11, 285, 661, 1234, 8479, 2481, 769, 19095, 11, 25652, 364, 694, 256, 473, 60144, 1184, 4302, 281, 74253, 341, 11, 1066, 586, 46574, 20595, 48066, 11, 2645, 521, 438, 4599, 13, 2928, 362, 4366, 1143, 1323, 450, 11, 548, 889, 749, 4379, 276, 31721, 11, 285, 3444, 1166, 2373, 276, 254, 17514, 25943, 285, 32346, 12487, 3177, 13, 100001, 4631, 327, 254, 1562, 766, 254, 9288, 2011, 26, 327, 1132, 395, 7213, 344, 362, 438, 12489, 2647, 691, 27576, 327, 254, 3474, 13, 1003, 26619, 937, 344, 362, 661, 742, 4921, 280, 359, 344, 395, 4437, 3011, 280, 13, 1474, 10898, 8379, 993, 45781, 11, 285, 9842, 856, 362, 661, 993, 276, 450, 1323, 25, 344, 254, 3474, 744, 1866, 1310, 330, 1503, 279, 14901, 12, 25914, 13, 82696, 441, 0, 3848, 3655, 543, 42357, 857, 13, 10351, 304, 441, 40788, 10876, 437, 3502, 30, 37390, 1308, 63454, 254, 6982, 359, 7276, 26, 285, 1234, 4084, 11, 1477, 9501, 60100, 25119, 11, 359, 438, 19178, 1224, 254, 9321, 276, 254, 15441, 13, 2071, 1632, 359, 9279, 2645, 254, 8386, 13, 56988, 207, 487, 39369, 2520, 7276, 13117, 11, 36545, 67089, 473, 254, 30576, 276, 254, 2367, 24079, 280, 254, 33480, 88, 34188, 11, 430, 4318, 1228, 15822, 254, 32280, 280, 254, 1843, 661, 558, 1234, 72876, 8628, 13, 1063, 34456, 13, 100001, 2901, 2960, 304, 438, 430, 10439, 11, 487, 362, 993, 13, 207, 2901, 40, 438, 63747, 271, 457, 254, 3073, 280, 10898, 8379, 254, 58300, 26, 548, 304, 1023, 463, 14144, 327, 254, 5919, 19026, 11, 285, 769, 32280, 744, 1132, 330, 2246, 13, 487, 207, 2901, 1380, 778, 521, 430, 10439, 11, 487, 993, 1473, 81, 1089, 11, 207, 2901, 384, 548, 327, 520, 85674, 254, 72547, 11, 6642, 11, 744, 2571, 330, 2065, 450, 13, 1474, 1481, 331, 0, 487, 207, 2901, 4044, 254, 1022, 601, 2997, 4727, 39096, 525, 11, 2481, 521, 2806, 344, 304, 4437, 11, 487, 993, 39369, 2520, 11, 207, 2901, 384, 304, 8758, 276, 1006, 946, 437, 2421, 2373, 276, 452, 3237, 377, 11, 285, 946, 1234, 362, 661, 21893, 359, 13, 2086, 304, 845, 245, 4348, 327, 857, 11, 31554, 344, 362, 744, 31076, 1234, 1865, 8188, 473, 586, 16342, 276, 9847, 327, 586, 20017, 13, 1063, 2373, 11, 548, 362, 21327, 285, 438, 441, 1503, 13, 1308, 937, 42157, 0, 304, 1632, 254, 3502, 1610, 11, 9697, 285, 7511, 889, 11, 372, 395, 463, 1653, 2752, 2368, 13, 100001, 2901, 3913, 5079, 366, 1313, 24501, 11, 2645, 601, 31146, 778, 46282, 1310, 276, 6363, 5663, 13, 2473, 347, 2373, 254, 38501, 3390, 487, 82, 7987, 30, 2461, 11, 565, 601, 5663, 438, 1927, 11, 1023, 330, 2368, 366, 359, 30, 12131, 2012, 304, 1534, 8875, 13, 100001, 2395, 304, 8921, 2618, 280, 601, 14489, 276, 5249, 11, 10539, 254, 32280, 280, 274, 405, 96236, 28174, 11, 565, 359, 2674, 80980, 13, 685, 521, 254, 1234, 27770, 366, 254, 17514, 25943, 54064, 643, 2647, 803, 769, 9846, 39085, 13, 100001, 2901, 4026, 438, 49028, 1555, 4084, 13, 30876, 304, 5322, 6737, 344, 65883, 280, 1313, 17314, 11, 1236, 35743, 285, 12789, 11, 778, 15629, 4078, 254, 1783, 641, 11, 285, 601, 5663, 10318, 13, 304, 2424, 327, 254, 1345, 280, 254, 9497, 21313, 13402, 444, 11, 285, 704, 4348, 438, 33897, 26, 285, 304, 6899, 601, 2997, 276, 52334, 1752, 11, 254, 35259, 280, 2128, 858, 332, 13, 487, 207, 2901, 2280, 304, 11, 487, 993, 52334, 1752, 11, 207, 2901, 21539, 3597, 6677, 344, 395, 1023, 18217, 327, 452, 3237, 377, 11, 1653, 5189, 2451, 359, 975, 1751, 13, 1308, 1962, 359, 4759, 4357, 344, 2128, 858, 332, 487, 82, 35259, 1023, 20128, 276, 9023, 2128, 858, 332, 487, 82, 10439, 11, 304, 2674, 366, 39369, 2520, 331, 254, 1234, 285, 30967, 3365, 13, 487, 2928, 39369, 2520, 3542, 946, 657, 661, 25827, 254, 3000, 3973, 280, 88820, 1569, 11, 1224, 1236, 276, 254, 34188, 280, 37134, 285, 254, 56302, 280, 364, 694, 256, 13, 207, 2901, 2960, 395, 661, 94675, 280, 857, 11, 285, 395, 6384, 344, 362, 48066, 745, 1234, 279, 254, 4426, 17188, 26, 548, 395, 1866, 1503, 857, 11, 285, 430, 1562, 304, 705, 66885, 13, 1308, 937, 279, 601, 22553, 304, 2215, 1310, 280, 245, 1727, 344, 1667, 1099, 254, 7526, 280, 452, 3237, 377, 405, 37857, 13, 429, 7987, 3964, 1667, 2410, 565, 359, 778, 254, 3474, 13, 429, 4887, 280, 3073, 430, 254, 9288, 2901, 207, 2901, 2901, 549, 46574, 11, 254, 32273, 11, 285, 254, 14863, 11, 56988, 362, 993, 11, 207, 2901, 2901, 5728, 1319, 704, 1826, 23827, 13, 3688, 558, 254, 3474, 13, 809, 438, 4078, 285, 405, 308, 1752, 271, 11, 372, 359, 778, 634, 280, 254, 30654, 19352, 26, 548, 895, 26338, 845, 14044, 2065, 359, 344, 254, 21976, 11, 6642, 11, 1027, 1592, 1019, 285, 1274, 13, 56988, 207, 2901, 2640, 1462, 14044, 778, 362, 661, 441, 993, 13, 8886, 1132, 744, 1006, 30, 429, 26338, 13, 1308, 10898, 8379, 30, 1474, 1228, 2451, 586, 63618, 975, 330, 11, 359, 1534, 463, 245, 3130, 13, 2461, 1297, 4617, 9501, 60100, 487, 82, 2647, 4586, 437, 2421, 11, 31076, 359, 438, 4739, 30, 429, 1297, 280, 2128, 858, 332, 5254, 13, 100001, 2901, 3220, 344, 2215, 11, 304, 327, 675, 544, 254, 29625, 11, 285, 5079, 35503, 276, 92552, 256, 13, 685, 5676, 2507, 254, 4000, 280, 601, 1835, 661, 803, 1136, 4503, 745, 11, 548, 10898, 8379, 1094, 280, 521, 13, 28862, 362, 661, 803, 327, 1234, 254, 11477, 280, 254, 40154, 280, 254, 5183, 13, 22484, 9335, 1216, 254, 5157, 10806, 862, 256, 1296, 525, 937, 853, 280, 1712, 11, 285, 917, 79779, 326, 362, 16949, 525, 276, 3365, 3264, 586, 8624, 17593, 15916, 82, 285, 5515, 13, 100001, 2901, 207, 2901, 2901, 1847, 6031, 340, 1068, 889, 11, 372, 340, 1481, 11, 327, 8727, 280, 10641, 2507, 11, 285, 254, 59002, 280, 254, 5183, 11, 1274, 331, 0, 56988, 362, 993, 13, 207, 2901, 2901, 1988, 276, 525, 856, 438, 317, 2246, 4426, 853, 856, 317, 276, 1865, 11, 285, 344, 317, 601, 2062, 13, 1474, 6838, 340, 463, 691, 11228, 1236, 853, 10898, 8379, 11, 779, 643, 10876, 1285, 1234, 11, 340, 543, 1275, 66003, 344, 317, 441, 1136, 3185, 276, 525, 11, 779, 608, 5738, 280, 254, 63618, 280, 437, 5183, 13, 56988, 207, 2901, 3139, 993, 10806, 862, 256, 13, 1308, 2618, 745, 9279, 279, 586, 8624, 2550, 1313, 8727, 344, 1860, 1236, 280, 254, 63618, 12, 57118, 1132, 481, 1274, 11, 327, 704, 18739, 285, 51773, 463, 3261, 4426, 276, 3470, 1743, 13, 1308, 15364, 283, 348, 11, 745, 11012, 279, 4302, 281, 41821, 349, 1592, 11, 405, 1189, 11, 304, 6384, 11, 457, 688, 4617, 10898, 8379, 285, 4367, 1962, 254, 27198, 5985, 11, 245, 15916, 344, 2128, 858, 332, 1401, 3177, 13, 1494, 2128, 858, 332, 1216, 441, 16873, 2302, 6044, 473, 254, 4429, 279, 364, 694, 256, 11, 372, 742, 463, 3542, 254, 19025, 13, 487, 207, 2901, 7516, 279, 254, 5226, 11, 6642, 11, 487, 15364, 283, 348, 11564, 279, 13, 207, 2901, 3315, 1006, 279, 92552, 256, 344, 362, 2674, 1022, 276, 4302, 281, 1640, 256, 285, 48066, 245, 1477, 366, 586, 37713, 10889, 17667, 296, 11, 13523, 272, 857, 11, 1323, 362, 11684, 276, 857, 254, 6290, 280, 254, 5178, 17903, 13, 685, 344, 766, 362, 26976, 745, 254, 1562, 20973, 2237, 280, 254, 7883, 18340, 279, 4887, 280, 586, 6251, 13, 487, 207, 2901, 2395, 279, 344, 766, 839, 362, 1401, 437, 15916, 11, 487, 993, 39369, 2520, 26, 207, 2901, 384, 344, 317, 441, 16663, 279, 92552, 256, 11, 359, 744, 1751, 13, 1494, 437, 15916, 11820, 254, 26500, 11, 285, 4117, 7048, 2128, 858, 332, 28351, 25, 429, 6982, 26500, 2786, 614, 1132, 276, 330, 274, 35259, 13107, 280, 254, 5226, 17903, 26, 548, 8727, 280, 359, 2786, 330, 2116, 279, 92552, 256, 11, 1066, 839, 23404, 254, 66657, 280, 1473, 409, 296, 11, 28252, 245, 766, 1865, 754, 254, 4887, 280, 1069, 1228, 10146, 2786, 2554, 4165, 13, 100001, 2901, 2280, 1166, 1069, 3073, 2128, 858, 332, 5734, 254, 26500, 11, 1108, 372, 362, 1503, 359, 13, 8589, 372, 304, 3708, 359, 317, 48999, 11, 285, 359, 1751, 862, 276, 28089, 11, 2451, 359, 3312, 862, 8533, 895, 8349, 5068, 895, 6775, 13, 47183, 254, 4456, 2065, 359, 11, 588, 430, 1022, 438, 372, 3662, 372, 3074, 24138, 11, 99848, 862, 285, 317, 1132, 889, 21300, 276, 330, 1274, 13, 809, 317, 51147, 279, 274, 466, 1722, 12, 2663, 280, 427, 15392, 11, 327, 657, 463, 642, 9187, 279, 364, 694, 256, 327, 1108, 19545, 830, 26, 548, 254, 4706, 317, 9255, 276, 525, 13, 304, 52380, 359, 276, 330, 245, 16777, 280, 254, 6350, 10245, 11, 1962, 359, 317, 34637, 285, 25371, 2649, 13, 2461, 11626, 359, 46110, 304, 536, 441, 1006, 26, 548, 304, 11362, 1285, 245, 4486, 280, 359, 11, 28252, 359, 28747, 5897, 10461, 13, 100001, 549, 26500, 3610, 862, 11, 6642, 11, 254, 6142, 280, 9501, 60100, 487, 82, 1297, 11, 588, 438, 3438, 285, 2618, 21861, 837, 4043, 11, 285, 558, 17308, 12, 17092, 308, 438, 16298, 26, 285, 6642, 778, 254, 5299, 1401, 3550, 1310, 11, 254, 4456, 744, 330, 51870, 13, 1474, 327, 601, 697, 304, 543, 5441, 642, 12392, 276, 437, 2421, 25, 280, 521, 254, 2722, 280, 9501, 60100, 254, 889, 4770, 13, 100001, 1385, 317, 17353, 276, 525, 11, 2451, 304, 3471, 359, 366, 1228, 4452, 13, 100001, 2901, 3287, 304, 1274 ]
[ 100000, 4426, 17040, 18294, 11, 285, 12472, 636, 280, 254, 2882, 13, 1063, 4739, 1690, 280, 766, 11, 31971, 12, 6209, 1439, 5476, 285, 36883, 11, 2645, 7654, 17943, 2373, 855, 857, 13, 100001, 51297, 7421, 33734, 581, 5764, 344, 362, 4101, 586, 5738, 9609, 13, 100001, 1385, 438, 6787, 13, 21675, 2860, 1027, 441, 463, 2424, 11, 327, 362, 661, 14844, 20208, 11, 285, 661, 57580, 1224, 6128, 276, 254, 5736, 280, 254, 12611, 13, 452, 3237, 377, 438, 457, 857, 13, 1494, 245, 2780, 7421, 2215, 344, 362, 438, 3507, 276, 79542, 21675, 2860, 26, 937, 362, 3505, 344, 359, 438, 441, 558, 13, 452, 3237, 377, 438, 6807, 276, 3177, 13, 324, 1513, 21313, 361, 314, 438, 9523, 245, 16761, 366, 742, 750, 2215, 344, 1222, 254, 1246, 5136, 548, 1401, 359, 49594, 559, 285, 586, 82, 13, 338, 14211, 2156, 285, 245, 5575, 2156, 5310, 616, 279, 586, 3545, 372, 362, 8921, 13, 416, 27650, 1123, 11, 441, 276, 1632, 12823, 463, 359, 207, 891, 1866, 13, 1474, 359, 487, 82, 1872, 276, 12823, 11, 5348, 11, 23479, 1131, 3458, 13, 2461, 487, 82, 254, 38501, 3390, 1872, 276, 536, 366, 359, 11, 395, 32260, 11, 5348, 395, 32260, 13, 487, 207, 2901, 40, 1113, 487, 83, 1006, 13, 304, 481, 487, 83, 1345, 359, 13, 9890, 487, 82, 2149, 359, 13, 324, 1513, 21313, 361, 314, 15561, 276, 1345, 254, 5738, 13, 487, 207, 2901, 5661, 11, 5348, 11, 276, 1345, 254, 5738, 25, 254, 5738, 280, 254, 27650, 1123, 13, 1474, 565, 395, 438, 5738, 11, 937, 395, 1027, 1345, 769, 1182, 82, 11, 5348, 11, 285, 1592, 2240, 22433, 13, 487, 207, 2901, 2395, 324, 1513, 21313, 361, 314, 993, 362, 744, 330, 1079, 1079, 1207, 13, 30287, 38501, 3390, 0, 1063, 3061, 17426, 22967, 842, 324, 1513, 21313, 361, 314, 487, 82, 2758, 13, 1063, 19926, 22663, 276, 525, 13, 487, 207, 2901, 16877, 1079, 1207, 11, 32675, 11, 601, 17353, 30, 3960, 487, 82, 330, 1207, 11, 1207, 372, 8700, 11, 6584, 634, 11, 548, 276, 769, 1182, 82, 13, 3688, 12392, 254, 5538, 38501, 3390, 11, 280, 2629, 11, 642, 11, 642, 13, 487, 207, 2901, 2395, 254, 27650, 1123, 7432, 254, 10668, 11, 487, 254, 5136, 280, 324, 1513, 21313, 361, 314, 54774, 13, 100001, 2901, 4631, 1529, 359, 11, 487, 993, 254, 750, 11, 207, 2901, 384, 1632, 487, 82, 2785, 359, 769, 1182, 82, 0, 2928, 395, 2786, 330, 5738, 11, 307, 3237, 377, 0, 8516, 254, 750, 38501, 3390, 11, 254, 36978, 29286, 38501, 3390, 11, 1099, 857, 46249, 11, 5348, 11, 307, 3237, 377, 0, 487, 207, 2901, 2395, 441, 254, 5538, 38501, 3390, 30, 487, 207, 2901, 6023, 642, 11, 441, 565, 359, 2845, 487, 83, 4066, 450, 13, 14070, 362, 487, 82, 245, 380, 15305, 1233, 11, 601, 17353, 11, 5348, 11, 245, 380, 15305, 1233, 13, 338, 380, 15305, 1233, 32619, 359, 13, 1063, 1503, 359, 285, 362, 993, 3011, 11, 3011, 13, 1003, 55198, 380, 15305, 1233, 257, 13, 487, 207, 2901, 3233, 11, 441, 437, 380, 15305, 1233, 13, 487, 207, 2901, 5661, 11, 1131, 380, 15305, 1233, 13, 2428, 32369, 344, 2240, 254, 27650, 1123, 13, 1003, 1534, 463, 359, 0, 487, 207, 2901, 2395, 1063, 487, 647, 1019, 11, 1063, 487, 647, 1006, 13, 1063, 487, 647, 1529, 359, 473, 450, 0, 487, 207, 2901, 2450, 14338, 13, 1063, 7466, 13, 1063, 4101, 450, 1099, 23047, 22433, 207, 891, 2481, 3848, 9162, 11, 5348, 13, 19245, 1529, 359, 13, 429, 423, 402, 349, 82, 418, 12095, 13, 19245, 1529, 359, 13, 487, 207, 2901, 3647, 327, 12823, 0, 487, 207, 2901, 3233, 11, 6584, 634, 13, 5129, 11, 601, 17353, 25, 565, 395, 643, 359, 11, 937, 395, 481, 10778, 11, 1236, 473, 12823, 11, 32675, 30, 13394, 395, 19112, 1079, 2955, 11, 13338, 853, 423, 402, 349, 82, 13, 5157, 324, 1513, 21313, 361, 314, 30, 452, 3237, 377, 254, 6982, 30, 429, 452, 3237, 377, 0, 48979, 8700, 1131, 1492, 11, 1853, 2602, 245, 1492, 11, 5583, 473, 254, 5532, 13, 7188, 27650, 1123, 40809, 12, 45034, 0, 19245, 463, 359, 13, 1003, 7572, 359, 11, 395, 7572, 359, 11, 395, 7572, 359, 0, 487, 207, 2901, 2395, 745, 487, 82, 984, 280, 768, 13, 1955, 487, 647, 15511, 1653, 3399, 285, 6856, 450, 11, 487, 376, 1343, 324, 1513, 21313, 361, 314, 279, 245, 1562, 7038, 13, 207, 2901, 3647, 1132, 13, 3688, 2618, 13, 487, 207, 2901, 1380, 7572, 359, 0, 1474, 487, 207, 891, 285, 1285, 745, 438, 245, 1234, 19548, 11, 372, 565, 245, 761, 2215, 661, 259, 27406, 13, 207, 2901, 3647, 2618, 11, 32675, 30, 13394, 441, 13, 2130, 1667, 1345, 13, 100001, 4622, 1667, 11, 5348, 13, 487, 207, 2901, 3233, 11, 642, 0, 3688, 344, 1143, 0, 487, 259, 3045, 324, 1513, 21313, 361, 314, 13, 100001, 2901, 5661, 0, 1003, 7572, 359, 0, 1003, 7572, 359, 0, 487, 2296, 245, 48392, 372, 324, 1513, 21313, 361, 314, 8921, 1310, 13, 12226, 1572, 7921, 11, 366, 1234, 14773, 8268, 271, 285, 3172, 50445, 11, 60961, 271, 5135, 586, 10225, 13, 100001, 22407, 661, 72876, 1592, 11, 49786, 457, 437, 16761, 11, 548, 9697, 1131, 2938, 344, 452, 3237, 377, 1401, 473, 1090, 586, 3222, 12, 13786, 6011, 12, 37700, 13, 2158, 586, 2976, 2764, 12224, 28406, 11, 254, 8836, 276, 6540, 38501, 11834, 11, 661, 4759, 254, 8037, 7082, 279, 452, 3237, 377, 13, 1063, 12621, 1132, 344, 359, 438, 441, 558, 25, 452, 3237, 377, 438, 6153, 254, 12906, 1282, 280, 254, 26500, 13, 429, 17514, 5157, 438, 1063, 11, 280, 2629, 26, 548, 7421, 21517, 779, 2130, 438, 13, 3474, 280, 254, 36978, 3997, 254, 1585, 60087, 661, 1401, 279, 586, 34730, 791, 11, 362, 8548, 13, 100001, 4631, 362, 10498, 254, 1420, 11, 327, 2012, 661, 29224, 5418, 2367, 2527, 11, 285, 778, 3442, 11866, 13, 338, 1228, 10853, 1566, 438, 279, 521, 586, 32004, 11, 548, 362, 46850, 3177, 366, 274, 7038, 285, 2659, 581, 13, 22494, 24761, 857, 276, 330, 11955, 285, 441, 276, 17547, 344, 362, 661, 76860, 254, 16761, 13, 100001, 2450, 1632, 636, 245, 12724, 23310, 285, 4366, 245, 6791, 79764, 13, 100001, 2901, 2640, 487, 82, 254, 766, 30, 487, 362, 993, 5476, 1214, 13, 100001, 38, 3237, 377, 2143, 636, 245, 1234, 586, 82, 1184, 586, 12466, 13, 1063, 6626, 581, 327, 245, 2780, 11, 17891, 285, 85267, 26, 285, 937, 362, 43340, 11, 13520, 4312, 331, 276, 521, 94737, 285, 64370, 581, 254, 6185, 280, 254, 12611, 13, 207, 2901, 35458, 38501, 11834, 0, 30287, 7421, 0, 487, 362, 993, 13, 207, 2901, 42292, 88, 11991, 11, 5348, 11, 53730, 11991, 0, 28764, 1207, 324, 1513, 21313, 361, 314, 276, 4348, 0, 1474, 359, 487, 82, 6787, 13, 414, 24473, 317, 55073, 13, 6930, 276, 614, 13, 487, 207, 2901, 13960, 766, 0, 487, 2215, 7421, 13, 207, 2901, 2280, 766, 395, 33651, 11, 1653, 13, 487, 11169, 359, 17033, 586, 2764, 276, 3860, 565, 6031, 452, 3237, 377, 438, 441, 1132, 372, 11866, 4540, 15374, 372, 5982, 366, 768, 13, 207, 2901, 34, 15962, 857, 0, 304, 4796, 362, 438, 63326, 0, 487, 362, 35351, 13, 1063, 38950, 1224, 254, 6185, 285, 46850, 586, 5738, 13, 100001, 6623, 80774, 2527, 11, 21675, 2860, 4749, 51870, 13, 1063, 661, 803, 40610, 13, 100001, 549, 4426, 13423, 661, 5079, 11, 285, 245, 4770, 10046, 661, 13390, 857, 279, 437, 3114, 280, 8666, 13, 15573, 10471, 280, 359, 279, 586, 4887, 11, 2618, 1373, 280, 359, 362, 4749, 7684, 285, 25122, 280, 2997, 13, 3848, 18953, 438, 2246, 6751, 331, 857, 13, 452, 3237, 377, 28652, 857, 366, 5025, 12, 4018, 9175, 13, 1063, 77992, 285, 12465, 5660, 11, 53165, 586, 1234, 14773, 11, 285, 60948, 272, 430, 21675, 2860, 487, 82, 20661, 13, 100001, 53556, 2860, 17424, 430, 857, 13, 100001, 2901, 17095, 0, 487, 362, 993, 13, 207, 2901, 2054, 463, 24732, 450, 1136, 285, 46080, 13, 1002, 317, 254, 1562, 6351, 13, 30626, 450, 276, 254, 22425, 11, 285, 937, 304, 543, 441, 2088, 340, 276, 614, 3572, 13, 30626, 450, 276, 254, 22425, 11, 285, 340, 975, 614, 1066, 340, 4796, 207, 891, 889, 441, 276, 769, 14924, 13, 487, 207, 2901, 1898, 254, 22425, 11, 32675, 30, 487, 452, 3237, 377, 49594, 8910, 11, 43905, 12052, 285, 16163, 12, 456, 271, 13, 207, 2901, 1898, 254, 22425, 11, 5738, 2970, 0, 7587, 11, 362, 2970, 558, 13, 1308, 1207, 324, 1513, 21313, 361, 314, 1217, 856, 362, 17240, 11, 508, 5348, 13, 1474, 754, 395, 5698, 11765, 11, 395, 487, 647, 1019, 5216, 11, 395, 487, 647, 1019, 937, 13, 809, 2115, 487, 83, 1068, 5538, 430, 521, 13, 508, 642, 0, 508, 642, 0, 487, 207, 2901, 7350, 331, 366, 340, 0, 487, 993, 7421, 13, 207, 2901, 4160, 487, 82, 752, 359, 855, 0, 487, 7610, 657, 4749, 2561, 691, 254, 5663, 344, 661, 14844, 331, 768, 754, 254, 79573, 6775, 24671, 855, 254, 93802, 13, 1955, 41639, 11, 258, 1175, 272, 331, 254, 11626, 12, 3081, 4192, 3419, 26, 548, 657, 3505, 3011, 279, 254, 37607, 6787, 9539, 2330, 11, 285, 3444, 254, 76005, 5079, 11, 1461, 22241, 11, 1872, 6642, 331, 742, 18847, 58205, 473, 4643, 308, 12, 678, 133, 215, 428, 13, 4128, 245, 1477, 452, 3237, 377, 2149, 581, 285, 39262, 4312, 1310, 11, 93956, 285, 30030, 13, 100001, 13664, 274, 5064, 1166, 23731, 254, 5663, 7276, 331, 768, 245, 4443, 766, 11, 548, 359, 1132, 4759, 691, 9409, 11, 372, 565, 359, 778, 9989, 2367, 2330, 254, 16785, 11, 32907, 366, 12906, 4583, 881, 254, 5653, 13, 452, 3237, 377, 11, 3111, 11, 438, 30139, 366, 11845, 11, 285, 438, 19561, 344, 657, 778, 1435, 55601, 11, 344, 704, 3956, 438, 3185, 13, 100001, 2901, 21477, 2602, 0, 487, 362, 62713, 13993, 13, 207, 2901, 21477, 2602, 317, 245, 8165, 13, 1955, 2213, 450, 1285, 11, 657, 2213, 254, 27650, 1123, 13, 429, 27650, 1123, 317, 704, 5738, 13, 1003, 2977, 614, 688, 3572, 437, 1143, 11, 642, 13, 809, 487, 82, 642, 938, 11, 642, 938, 0, 487, 375, 21374, 285, 2447, 3073, 778, 642, 4172, 280, 688, 12764, 13, 809, 438, 441, 2645, 21675, 2860, 26577, 857, 52838, 285, 9835, 245, 1297, 331, 586, 16356, 12, 71, 3278, 344, 452, 3237, 377, 744, 752, 581, 1310, 13, 2928, 430, 1562, 362, 8728, 366, 245, 4505, 11539, 11, 285, 2674, 1323, 768, 837, 245, 26354, 5025, 13, 100001, 3139, 657, 38950, 331, 1184, 254, 25761, 1225, 280, 254, 2653, 11, 285, 2645, 254, 4321, 280, 1913, 1492, 280, 5663, 657, 10408, 279, 12114, 366, 31788, 11991, 11, 7123, 3011, 11, 285, 10921, 3011, 548, 254, 5409, 586, 4288, 279, 704, 14501, 13, 27024, 207, 18, 5048, 69006, 452, 4008, 5077, 63748, 26851, 12337, 254, 2112, 1492, 80320, 704, 8398, 276, 364, 694, 256, 438, 855, 13, 429, 93802, 285, 254, 14231, 778, 4435, 768, 13, 12337, 768, 11, 4426, 2237, 2481, 245, 91843, 9539, 11, 254, 1228, 14499, 69633, 704, 31488, 11991, 13, 100001, 32944, 254, 11348, 280, 364, 694, 256, 33378, 254, 37607, 3169, 280, 12788, 4116, 9497, 21313, 511, 11, 254, 34188, 280, 37134, 11, 285, 2065, 254, 8687, 254, 7488, 24079, 285, 49287, 70185, 280, 427, 506, 54874, 3970, 11, 14518, 372, 16637, 13, 1474, 372, 1069, 18671, 20521, 634, 1913, 11, 1435, 6031, 548, 4373, 280, 634, 1228, 4239, 786, 254, 70851, 39584, 280, 54874, 13322, 285, 280, 73740, 256, 1034, 11, 285, 254, 17406, 51561, 5532, 280, 36644, 21313, 19950, 255, 18872, 2377, 11, 657, 39655, 636, 1234, 7921, 67332, 26, 285, 1439, 1069, 7921, 745, 438, 245, 4399, 977, 605, 13, 1002, 438, 33487, 349, 73740, 256, 11, 254, 10519, 23090, 10336, 11, 254, 15157, 276, 254, 3114, 280, 254, 75425, 13, 5558, 46651, 31679, 2065, 2818, 2387, 11, 285, 23773, 4312, 473, 895, 8602, 778, 984, 30084, 17188, 11, 3438, 12, 6653, 271, 285, 10922, 13, 22162, 768, 6626, 254, 3137, 862, 280, 364, 694, 256, 11, 984, 33549, 2955, 285, 8670, 13, 685, 2507, 1234, 2882, 657, 778, 4930, 457, 254, 10889, 280, 92552, 256, 279, 704, 13881, 285, 1823, 11, 1166, 254, 63230, 280, 9501 ]
[ 100000, 9539, 438, 5501, 11, 285, 254, 4281, 280, 9939, 91124, 2065, 254, 12967, 285, 4733, 1234, 5575, 25851, 14172, 254, 7636, 13, 100001, 2901, 87901, 0, 1257, 418, 1865, 276, 22194, 246, 4658, 74717, 11, 487, 993, 19002, 5644, 13, 207, 2901, 1988, 437, 317, 254, 2997, 280, 254, 10641, 26210, 372, 359, 438, 1234, 4084, 11, 285, 1285, 317, 254, 58651, 280, 4658, 74717, 11, 1066, 279, 32740, 2507, 586, 1461, 2558, 438, 4930, 13, 100001, 4898, 2647, 36399, 254, 8678, 10252, 279, 254, 15194, 9308, 11387, 25, 254, 10421, 466, 37952, 11, 285, 254, 14211, 291, 17225, 506, 296, 13, 4462, 395, 543, 4152, 33826, 11, 285, 1865, 276, 254, 3787, 280, 254, 7646, 53813, 4383, 430, 50537, 13, 487, 429, 3072, 4733, 4449, 1224, 2065, 254, 53447, 11387, 11, 548, 21675, 2860, 6626, 33826, 1592, 4739, 279, 3860, 13, 809, 4759, 276, 857, 344, 362, 661, 20210, 1184, 245, 1461, 4071, 344, 4133, 331, 245, 35638, 1843, 13, 338, 2156, 438, 2065, 359, 327, 588, 586, 4706, 661, 642, 1210, 13, 2428, 344, 362, 3505, 438, 75661, 733, 11, 548, 254, 18294, 4759, 430, 2561, 3662, 3423, 11, 372, 565, 657, 661, 803, 1022, 33617, 285, 10237, 430, 254, 45745, 272, 280, 586, 3545, 11, 285, 10641, 372, 565, 657, 661, 45653, 327, 2647, 13, 1063, 3505, 642, 9273, 548, 1462, 362, 4437, 11, 5299, 285, 3682, 285, 5501, 285, 5575, 11, 548, 657, 778, 5583, 285, 82015, 11, 372, 565, 362, 661, 430, 344, 2780, 1022, 20940, 768, 256, 35527, 465, 1027, 330, 2826, 279, 3270, 344, 10318, 2065, 254, 6039, 13, 2426, 254, 3114, 280, 7980, 21313, 19646, 745, 438, 642, 18344, 13, 100001, 2450, 4540, 285, 3505, 344, 7421, 438, 1132, 8898, 13869, 857, 11, 2709, 4078, 366, 245, 39231, 5761, 11, 285, 48988, 586, 3545, 372, 565, 362, 438, 441, 2049, 344, 362, 438, 28183, 13, 207, 2901, 1385, 487, 82, 29626, 285, 6464, 1492, 11, 1329, 2527, 11, 487, 362, 993, 13, 207, 2901, 40, 2215, 344, 1473, 1606, 778, 521, 327, 12780, 285, 7524, 25, 548, 437, 317, 691, 1473, 85, 844, 853, 3270, 304, 2647, 4101, 2410, 280, 13, 304, 2213, 372, 565, 304, 438, 4650, 245, 5654, 11, 565, 340, 1529, 601, 4569, 13, 487, 19002, 5644, 4133, 430, 768, 11, 285, 362, 4759, 6031, 276, 1529, 254, 4569, 280, 1572, 2215, 285, 1734, 13, 1063, 17424, 13, 207, 2901, 2054, 2213, 254, 1823, 280, 254, 10850, 280, 254, 7646, 53813, 4383, 11, 487, 362, 993, 13, 207, 2901, 18684, 359, 4066, 340, 276, 23170, 366, 525, 581, 22194, 246, 4658, 74717, 30, 487, 1955, 5496, 857, 372, 362, 20210, 24404, 581, 254, 11387, 12, 62007, 45021, 13, 100001, 23077, 362, 10408, 285, 47460, 11, 285, 786, 857, 4731, 8242, 285, 10252, 778, 38087, 457, 254, 1246, 5559, 5409, 372, 267, 8877, 586, 3059, 11, 21675, 2860, 4749, 344, 362, 438, 279, 245, 49993, 3114, 344, 1216, 441, 28747, 410, 2262, 410, 3467, 881, 7654, 17943, 13, 2473, 362, 661, 5418, 285, 5079, 1310, 881, 254, 12881, 1843, 11, 1592, 21675, 2860, 254, 18012, 12164, 473, 254, 1783, 641, 744, 3667, 745, 11, 2065, 254, 11387, 3264, 466, 37952, 285, 291, 17225, 506, 296, 279, 4770, 86777, 789, 21313, 19646, 13, 100001, 5490, 8400, 254, 9982, 280, 3682, 7636, 13, 1733, 657, 1216, 558, 254, 5178, 17902, 33515, 2065, 22194, 246, 4658, 74717, 285, 34456, 3264, 254, 16000, 13, 100001, 53556, 2860, 6626, 1592, 11, 10921, 2367, 842, 1228, 27094, 2065, 30150, 344, 661, 1234, 4084, 803, 26829, 2302, 11, 285, 5532, 12, 40543, 24302, 4318, 7499, 661, 56999, 473, 254, 6039, 13, 100001, 48253, 5644, 661, 5418, 331, 285, 438, 1132, 26802, 276, 254, 1461, 94952, 13, 1733, 21675, 2860, 8479, 276, 1181, 857, 11, 362, 9835, 586, 1297, 2065, 254, 5330, 13869, 254, 29007, 25, 1866, 1323, 661, 362, 803, 558, 8963, 285, 558, 60355, 6737, 280, 254, 2213, 285, 17079, 280, 245, 5330, 487, 82, 6219, 285, 280, 254, 1728, 2383, 359, 13, 1063, 4749, 245, 9175, 279, 4837, 285, 254, 5402, 280, 359, 11, 8533, 372, 2679, 3559, 5068, 372, 64417, 26, 359, 438, 254, 9175, 280, 254, 4731, 5330, 3964, 13, 100001, 2124, 362, 20210, 636, 430, 1562, 2065, 254, 35246, 6259, 11, 19002, 5644, 3061, 586, 1297, 285, 4540, 857, 5135, 254, 5178, 13, 207, 2901, 9610, 437, 1143, 1022, 0, 487, 362, 993, 13, 100001, 53556, 2860, 4133, 285, 3505, 11, 1592, 430, 742, 5013, 11, 245, 12967, 280, 1313, 18995, 7636, 11, 410, 245, 3787, 280, 5575, 33549, 25, 588, 359, 438, 362, 1027, 441, 2410, 13, 6367, 280, 359, 11, 359, 4759, 276, 857, 344, 254, 1823, 285, 2156, 2373, 344, 4586, 521, 254, 3114, 279, 32407, 13, 1063, 50075, 8963, 276, 10572, 837, 245, 7854, 276, 1610, 279, 254, 5575, 3787, 13, 2928, 362, 4133, 67089, 285, 3505, 521, 254, 3114, 280, 7980, 21313, 4397, 255, 3268, 1224, 276, 254, 14211, 53353, 280, 1308, 63454, 11, 254, 6982, 9321, 13, 1063, 18949, 586, 3545, 3246, 254, 8144, 285, 521, 254, 2156, 2674, 636, 11, 285, 362, 438, 1062, 1310, 279, 254, 1843, 362, 4437, 13, 30042, 254, 8144, 254, 3114, 7676, 7372, 285, 7137, 11, 1020, 1568, 285, 25718, 11, 2645, 2367, 2302, 359, 8728, 1310, 837, 245, 2901, 2960, 11012, 254, 4311, 1465, 280, 15685, 12160, 74, 5694, 11, 487, 993, 19002, 5644, 13, 207, 2901, 1385, 317, 47286, 279, 245, 9625, 280, 4426, 45744, 11, 1066, 254, 7636, 27899, 634, 2481, 1913, 285, 704, 16000, 6299, 285, 71295, 13, 685, 254, 19480, 2065, 245, 84215, 5484, 11125, 19895, 452, 37301, 332, 11, 1066, 1234, 254, 8628, 75425, 661, 586, 31159, 13, 100001, 1380, 5663, 344, 1132, 359, 317, 52090, 1310, 11, 285, 366, 1823, 7960, 11788, 13, 338, 3438, 6788, 11012, 2752, 855, 359, 280, 5189, 13, 685, 437, 1461, 1810, 340, 975, 1019, 254, 984, 12056, 344, 418, 15185, 634, 276, 1913, 26, 285, 2647, 657, 27899, 1132, 279, 2215, 11, 548, 12130, 254, 2156, 32878, 1812, 254, 1079, 2997, 280, 254, 16342, 11, 895, 1377, 6486, 643, 441, 803, 9351, 13, 3688, 2618, 13, 487, 1063, 4540, 285, 32545, 35503, 1224, 11, 285, 657, 5496, 857, 13, 100001, 3567, 254, 12967, 487, 82, 4414, 21675, 2860, 1503, 52334, 1752, 11, 8898, 1592, 285, 13117, 372, 245, 5330, 26, 548, 279, 586, 1297, 438, 245, 1760, 14544, 36399, 280, 466, 37952, 11, 285, 245, 2156, 438, 279, 586, 3545, 13, 1063, 438, 19878, 279, 742, 4770, 4887, 25, 285, 372, 21675, 2860, 4133, 430, 857, 362, 4437, 344, 362, 40547, 2012, 372, 657, 2561, 661, 803, 279, 437, 1246, 1810, 13, 1494, 254, 28034, 1555, 778, 6910, 473, 254, 3059, 280, 52334, 1752, 11, 285, 362, 4759, 51914, 279, 3682, 11, 245, 2823, 15332, 8670, 285, 4770, 26, 285, 362, 8921, 3073, 279, 254, 1473, 85, 844, 16777, 276, 634, 4989, 21675, 2860, 1027, 441, 1019, 13, 1576, 20881, 2068, 92805, 1361, 11, 291, 4210, 21313, 5838, 124, 101, 0, 362, 993, 11, 285, 937, 362, 12419, 245, 9004, 11, 285, 14108, 636, 280, 586, 2215, 362, 4133, 430, 21675, 2860, 285, 17424, 13, 100001, 2901, 4898, 317, 254, 2997, 280, 1473, 85, 80700, 331, 6039, 11, 487, 362, 993, 11, 207, 2901, 384, 1285, 601, 2997, 90624, 2647, 11, 6838, 745, 330, 245, 2156, 5897, 254, 4426, 16672, 344, 395, 1592, 1534, 32525, 11, 340, 285, 304, 13, 15512, 366, 525, 0, 487, 1308, 3950, 21675, 2860, 487, 82, 1297, 279, 586, 11, 362, 2116, 254, 12967, 280, 22194, 246, 4658, 74717, 285, 2373, 745, 1866, 1310, 372, 4731, 668, 13, 27024, 207, 22, 5048, 85020, 49, 1698, 5372, 87712, 3206, 9013, 6379, 429, 4281, 438, 38034, 4435, 254, 14499, 11, 285, 254, 25851, 778, 90951, 279, 254, 16763, 11, 754, 657, 2674, 331, 1310, 13, 9191, 12888, 1132, 2674, 881, 7141, 1550, 1066, 254, 50537, 661, 2571, 15629, 13, 14083, 2373, 14172, 254, 7636, 372, 657, 10408, 11, 285, 254, 1473, 1606, 46620, 704, 11041, 30842, 13, 100001, 51297, 657, 2373, 636, 881, 254, 1721, 1310, 285, 1503, 4449, 1090, 245, 14211, 6787, 9539, 793, 11743, 457, 245, 1860, 3923, 7524, 13, 2071, 438, 245, 5505, 2333, 6928, 2516, 1323, 768, 11, 3268, 279, 245, 1228, 9982, 285, 34424, 2302, 331, 2818, 1297, 13, 30042, 359, 438, 245, 4399, 18192, 346, 4739, 279, 2838, 13423, 11, 548, 254, 11387, 2065, 895, 63330, 438, 5575, 11, 372, 565, 359, 91124, 1592, 279, 4887, 280, 254, 4281, 344, 661, 5418, 13, 22162, 254, 3572, 2387, 745, 8728, 276, 245, 1228, 5484, 245, 5575, 4239, 71347, 51737, 245, 5575, 12967, 47243, 271, 366, 27678, 1752, 12, 31024, 30182, 853, 688, 657, 661, 2618, 2826, 279, 521, 254, 3114, 13, 9191, 5484, 1027, 441, 330, 35375, 11, 548, 657, 6626, 581, 279, 254, 45660, 837, 4731, 33549, 13, 100001, 774, 704, 1313, 12, 41655, 506, 16000, 285, 18872, 704, 2647, 12, 39995, 8242, 28319, 11493, 778, 64195, 11, 5575, 285, 5299, 285, 11041, 13, 19002, 5644, 4540, 5135, 254, 7947, 13, 100001, 2901, 20684, 276, 2872, 281, 7646, 308, 18498, 0, 487, 362, 993, 13, 207, 2901, 4898, 317, 254, 3787, 280, 254, 7646, 53813, 4383, 1066, 23404, 254, 5157, 76115, 13176, 285, 7646, 308, 20856, 254, 10850, 280, 7980, 21313, 4397, 255, 13, 1474, 395, 2977, 5223, 1285, 11, 327, 254, 18318, 536, 441, 1068, 8687, 12, 22628, 13, 1003, 1534, 614, 4078, 276, 254, 18034, 2387, 11, 285, 254, 1143, 317, 441, 2577, 11, 327, 254, 3787, 317, 1228, 13, 487, 2071, 438, 245, 4559, 53905, 366, 3682, 8665, 3268, 331, 254, 12881, 63330, 280, 254, 18192, 346, 13, 29051, 437, 657, 2674, 59335, 11, 366, 254, 3787, 2647, 26802, 581, 837, 245, 5575, 6788, 2065, 704, 2116, 26, 285, 372, 254, 2653, 84703, 691, 11493, 27376, 8188, 11, 2645, 521, 254, 12967, 4759, 5421, 641, 366, 7524, 13, 1955, 2373, 430, 1562, 276, 245, 3682, 10175, 11, 285, 18960, 1503, 254, 1228, 18318, 280, 254, 3787, 25, 657, 17815, 8868, 12, 12211, 11, 845, 1439, 254, 10171, 280, 254, 71347, 51737, 4239, 344, 1285, 15814, 6479, 11, 285, 657, 778, 8670, 285, 2955, 11, 285, 11704, 366, 1313, 30842, 13, 100001, 48253, 5644, 28561, 285, 8921, 11, 285, 254, 18318, 6899, 3066, 14256, 26, 548, 280, 29526, 21675, 2860, 1027, 1019, 642, 1472, 13, 429, 38372, 5079, 2383, 11, 285, 254, 18318, 7574, 4435, 768, 13, 1955, 778, 279, 245, 4399, 23660, 1439, 254, 10171, 280, 254, 4239, 11, 285, 9989, 5397, 1184, 359, 657, 8400, 254, 5183, 280, 254, 55500, 13, 2366, 22503, 1027, 657, 1019, 11, 5068, 4704, 688, 5144, 2065, 254, 33343, 2302, 581, 331, 254, 12967, 657, 1027, 4704, 254, 3066, 280, 17003, 13520, 473, 331, 1461, 837, 2838, 9748, 2065, 8242, 13, 100001, 5490, 2674, 2726, 1313, 12888, 285, 32545, 1313, 20706, 11, 2645, 657, 2373, 276, 254, 1461, 6171, 285, 3505, 1323, 768, 18872, 245, 5505, 22661, 245, 37962, 63722, 272, 13, 809, 438, 11769, 457, 11041, 30842, 344, 39655, 473, 254, 67815, 280, 7636, 11, 285, 359, 7276, 881, 245, 37905, 280, 11041, 11, 473, 588, 245, 3682, 5545, 80018, 13, 22162, 254, 8868, 2387, 280, 254, 22661, 745, 6626, 254, 1667, 10399, 280, 521, 254, 7636, 26, 895, 1228, 6799, 846, 275, 91893, 837, 14518, 22680, 11, 285, 581, 359, 276, 36077, 11, 2645, 895, 1022, 16000, 11, 2367, 2330, 11, 6899, 704, 6791, 32004, 1090, 67029, 16785, 280, 8242, 13, 93739, 359, 245, 5846, 3682, 29007, 6626, 11, 285, 430, 895, 4414, 1853, 1473, 1606, 778, 21928, 13, 1955, 27376, 581, 372, 254, 38372, 20521, 11, 285, 21675, 2860, 3505, 344, 657, 778, 8670, 285, 47286, 279, 14518, 9444, 11, 285, 473, 704, 17459, 11704, 1234, 3682, 25985, 8667, 13, 100001, 2901, 4898, 23404, 76115, 13176, 285, 7646, 308, 20856, 11, 487, 993, 19002, 5644, 13, 207, 2901, 1385, 317, 704, 4796, 344, 340, 1023, 31253, 285, 3753, 366, 768, 13, 487, 3474, 280, 254, 86933, 12, 1209, 660, 937, 33515, 245, 3662, 4347, 331, 245, 1760, 27250, 11, 285, 359, 438, 7589, 1853, 2602, 473, 2367, 2330, 13, 207, 2901, 40, 543, 614, 1022, 11, 487, 993, 19002, 5644, 13, 207, 2901, 4160, 21675, 2860, 1865, 2112, 285, 366, 857, 8427, 23280, 13, 429, 3072, 975, 1181, 372, 657, 4796, 13, 809 ]
[ 100000, 2647, 11, 285, 565, 2198, 12239, 254, 761, 452, 3237, 377, 11, 254, 324, 1513, 21313, 361, 314, 11, 2246, 853, 254, 1712, 13, 100001, 2901, 6636, 11, 452, 3237, 377, 11, 410, 6851, 359, 317, 395, 487, 248, 276, 1282, 340, 11, 487, 362, 993, 11, 207, 2901, 2795, 327, 359, 0, 429, 20992, 487, 82, 5418, 11, 285, 254, 2653, 487, 82, 1872, 13, 1003, 487, 67, 2018, 1330, 13, 487, 207, 2901, 5661, 11, 5348, 11, 487, 10899, 452, 3237, 377, 11, 49214, 786, 13, 207, 2901, 6748, 395, 614, 0, 2071, 487, 82, 889, 634, 1143, 3246, 1439, 254, 5226, 12, 409, 285, 254, 5178, 12, 409, 13, 304, 1503, 359, 11, 304, 1216, 13, 2489, 5508, 1113, 487, 83, 938, 359, 11, 2489, 5508, 1113, 487, 83, 1006, 359, 13, 2489, 5508, 1113, 487, 83, 4234, 254, 20982, 1218, 11, 657, 614, 4078, 327, 6593, 285, 6593, 13, 15429, 16051, 340, 2373, 437, 1143, 13, 15429, 16051, 340, 1503, 324, 1513, 21313, 361, 314, 11, 5348, 13, 23028, 324, 1513, 21313, 361, 314, 0, 487, 1063, 3061, 245, 1860, 5610, 2302, 285, 4133, 1062, 60161, 326, 11, 837, 245, 5025, 33251, 768, 327, 245, 3667, 13, 207, 2901, 18420, 245, 2683, 11, 452, 3237, 377, 0, 487, 7899, 7421, 13, 207, 2901, 3647, 1653, 2367, 8450, 1132, 0, 304, 487, 76, 1872, 276, 330, 430, 520, 9960, 11, 285, 304, 487, 313, 2149, 254, 22967, 22540, 13, 487, 207, 2901, 3233, 11, 642, 0, 487, 993, 452, 3237, 377, 13, 207, 2901, 50, 1513, 21313, 361, 314, 15561, 13, 487, 685, 254, 4399, 280, 2653, 1090, 2074, 3662, 7524, 657, 845, 842, 13, 452, 3237, 377, 5426, 768, 1062, 67332, 327, 245, 1477, 2726, 254, 1143, 657, 661, 1865, 26, 937, 362, 1906, 7880, 276, 254, 1329, 2302, 473, 254, 19547, 5941, 280, 254, 4939, 1944, 14680, 296, 11, 1224, 254, 7488, 84215, 45021, 5135, 254, 10999, 267, 660, 2877, 13, 100001, 5490, 37583, 35503, 285, 26380, 881, 254, 16342, 13, 8075, 521, 254, 41519, 280, 9974, 1323, 254, 18318, 280, 364, 694, 256, 745, 438, 245, 3438, 12114, 13, 27024, 207, 17, 5048, 54517, 9296, 5372, 5048, 26943, 8012, 2729, 452, 3237, 377, 6937, 5397, 11, 366, 586, 1917, 285, 10225, 23773, 4312, 11, 2752, 1244, 586, 4054, 372, 1136, 372, 586, 5144, 13, 21675, 2860, 285, 7421, 778, 2074, 1957, 276, 359, 276, 2240, 581, 366, 857, 26, 548, 362, 4759, 642, 4172, 276, 463, 688, 2215, 280, 44885, 11, 285, 565, 657, 7276, 4435, 11, 362, 744, 1947, 285, 3825, 327, 768, 13, 100001, 5045, 245, 766, 362, 4832, 768, 276, 254, 63330, 280, 254, 9745, 307, 25871, 344, 657, 661, 11921, 1323, 26, 548, 657, 778, 1132, 3572, 473, 254, 17188, 13, 100001, 2901, 4898, 359, 317, 0, 487, 362, 7899, 13, 207, 2901, 2960, 317, 245, 1143, 1224, 4650, 11, 5348, 13, 4201, 395, 4446, 359, 207, 891, 636, 11, 636, 2302, 855, 745, 13, 487, 1063, 11977, 8868, 285, 12450, 5135, 254, 93802, 13, 429, 298, 1795, 280, 768, 2373, 276, 704, 70254, 11, 6751, 285, 34637, 1236, 279, 254, 5559, 2653, 3207, 13, 100001, 38, 3237, 377, 4733, 581, 285, 1224, 2726, 254, 63330, 11, 285, 430, 3973, 362, 2424, 276, 768, 13, 207, 2901, 4898, 0, 1003, 481, 752, 1224, 1285, 13, 324, 1513, 21313, 361, 314, 2674, 437, 1143, 2561, 25, 304, 2674, 437, 1143, 11, 25103, 473, 2489, 5508, 13, 487, 1063, 5426, 254, 1143, 11, 285, 1893, 857, 254, 38501, 11834, 32545, 1224, 881, 254, 22569, 13, 809, 438, 441, 3915, 11, 327, 254, 428, 2277, 438, 430, 437, 1420, 889, 742, 20378, 5144, 4399, 285, 786, 245, 16591, 3246, 13, 2071, 438, 3268, 2354, 430, 254, 5736, 25, 359, 438, 279, 1714, 254, 3853, 280, 634, 280, 254, 1313, 1760, 25188, 344, 11311, 1215, 1224, 473, 254, 17188, 276, 5200, 254, 93704, 31369, 285, 273, 3457, 5897, 13, 452, 3237, 377, 4540, 276, 254, 1329, 11, 69804, 691, 410, 2246, 11, 285, 7858, 8153, 2726, 366, 586, 5144, 279, 254, 26975, 84215, 5545, 13, 1063, 4759, 11246, 20394, 276, 2213, 254, 2354, 11, 285, 77992, 276, 3177, 11, 5024, 1236, 12497, 1379, 279, 245, 3734, 280, 5654, 13, 100001, 549, 6159, 2074, 19369, 657, 54146, 769, 4054, 11, 657, 39102, 11117, 769, 5144, 13, 100001, 549, 16754, 285, 18134, 418, 837, 1712, 18797, 521, 10922, 280, 12322, 13, 100001, 2395, 5545, 285, 7434, 317, 12969, 285, 5559, 25, 558, 5538, 327, 5144, 0, 1308, 1132, 395, 4796, 16324, 3441, 24011, 359, 13, 487, 338, 1656, 572, 2373, 881, 586, 3545, 11, 285, 7421, 28160, 254, 53353, 279, 254, 16342, 2215, 359, 2367, 473, 11854, 13, 100001, 65290, 1673, 9004, 26, 372, 6159, 372, 4349, 26, 1866, 31204, 272, 11, 2647, 16306, 26, 47286, 279, 9444, 11, 1866, 497, 11595, 13, 100001, 35, 3371, 82, 331, 6989, 3114, 11, 14751, 274, 9859, 317, 245, 11072, 26, 14751, 245, 37962, 317, 245, 32836, 280, 3207, 13, 100001, 3139, 42712, 11, 558, 4770, 0, 2461, 245, 8810, 276, 2984, 0, 1003, 889, 4796, 276, 5770, 245, 8700, 11, 558, 61808, 12, 39474, 0, 3410, 3073, 889, 1401, 691, 18507, 276, 7421, 487, 82, 2764, 245, 2066, 344, 661, 803, 66623, 857, 473, 254, 2780, 754, 362, 10117, 344, 586, 5738, 438, 1872, 276, 8286, 452, 3237, 377, 372, 245, 7053, 25, 254, 2066, 280, 3427, 13, 809, 1216, 441, 5192, 276, 857, 344, 586, 5738, 1667, 839, 463, 2215, 280, 359, 11, 548, 362, 8548, 452, 3237, 377, 661, 13, 13788, 946, 661, 452, 3237, 377, 5982, 3177, 279, 521, 586, 25862, 32802, 30, 207, 2901, 3647, 1653, 1136, 11, 487, 2215, 7421, 13, 100001, 2901, 2450, 4716, 4770, 1464, 1747, 13, 3688, 1653, 60105, 276, 1682, 856, 38501, 3390, 28096, 837, 11, 565, 745, 17630, 487, 83, 642, 8700, 11, 304, 487, 647, 60824, 207, 891, 58116, 372, 362, 1027, 5770, 450, 291, 5540, 13, 7384, 11, 362, 2115, 487, 83, 25, 441, 7421, 42724, 49675, 327, 634, 13, 487, 1955, 38950, 2726, 279, 254, 4426, 26216, 307, 25871, 327, 245, 1234, 766, 11, 410, 558, 359, 4759, 276, 254, 13400, 5144, 280, 21675, 2860, 285, 7421, 13, 429, 307, 25871, 4540, 67089, 11, 285, 372, 657, 2674, 331, 359, 5846, 2954, 285, 2149, 16814, 467, 266, 12, 3927, 13, 2803, 1562, 254, 9539, 2330, 10318, 17203, 366, 254, 1022, 14518, 280, 4421, 13, 100001, 38, 3237, 377, 661, 3707, 642, 11264, 280, 94920, 11, 548, 1132, 362, 4133, 581, 285, 41639, 13, 100001, 2901, 16315, 317, 3345, 11, 487, 362, 22112, 11, 372, 565, 6617, 438, 1874, 344, 1667, 855, 43316, 857, 285, 8079, 331, 857, 13, 207, 2901, 50, 1513, 21313, 361, 314, 543, 4152, 1285, 25, 304, 543, 4152, 1285, 11, 285, 254, 27046, 7335, 2115, 487, 83, 1019, 525, 13, 487, 207, 2901, 1380, 1023, 330, 7684, 276, 1019, 254, 5071, 11, 487, 993, 21675, 2860, 11, 207, 2901, 2381, 395, 543, 4152, 1285, 25, 395, 418, 1653, 13400, 276, 614, 688, 3572, 430, 1828, 13, 487, 207, 2901, 2054, 418, 441, 13430, 276, 330, 7684, 280, 254, 27046, 7335, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 1385, 3535, 340, 581, 13, 30287, 22866, 38501, 11834, 4152, 366, 324, 1513, 21313, 361, 314, 13, 2489, 5508, 285, 36978, 2012, 418, 786, 13, 1955, 481, 1019, 245, 1234, 1143, 13, 27617, 285, 12434, 366, 11449, 280, 254, 307, 25871, 13, 809, 438, 441, 1266, 691, 853, 245, 8670, 668, 487, 82, 5484, 1132, 11, 285, 430, 895, 3252, 745, 778, 5505, 7372, 31378, 280, 6989, 8665, 26, 254, 2354, 7279, 279, 245, 7204, 331, 254, 750, 2387, 13, 21675, 2860, 285, 7421, 2659, 331, 634, 280, 254, 54222, 11, 28459, 704, 30844, 13, 452, 3237, 377, 43161, 1215, 285, 10726, 356, 11232, 279, 254, 5545, 13, 100001, 2901, 1380, 1534, 1529, 245, 1585, 3427, 11, 487, 993, 21675, 2860, 13, 207, 2901, 7425, 340, 21416, 11, 324, 1513, 21313, 361, 314, 30, 1003, 463, 1079, 1585, 276, 4127, 11, 548, 395, 543, 18075, 340, 856, 395, 481, 13, 487, 2803, 254, 1734, 21416, 245, 5575, 844, 2156, 438, 78293, 279, 452, 3237, 377, 487, 82, 14211, 3545, 11, 285, 657, 4759, 276, 381, 50987, 3572, 853, 2647, 473, 586, 10212, 88758, 3059, 13, 1494, 245, 2780, 362, 1085, 17717, 881, 586, 1712, 452, 3237, 377, 12, 39665, 13, 100001, 2901, 1380, 418, 1464, 979, 874, 11, 5348, 1464, 979, 874, 395, 418, 11, 17353, 11, 487, 362, 993, 13, 207, 2901, 2640, 317, 359, 657, 47623, 30, 10351, 657, 5538, 82013, 1218, 30, 487, 3848, 16777, 29897, 1215, 636, 1439, 586, 11453, 10421, 12466, 11, 284, 20594, 586, 9273, 1568, 12077, 13, 100001, 2901, 3233, 11, 395, 463, 2149, 642, 8700, 11, 487, 993, 21675, 2860, 13, 207, 2901, 1380, 463, 889, 2149, 437, 487, 207, 891, 362, 4586, 581, 245, 86534, 280, 518, 2808, 281, 207, 891, 207, 2901, 384, 2354, 11, 565, 254, 2354, 1285, 317, 4357, 276, 7369, 13, 487, 207, 2901, 56, 390, 11, 320, 390, 11, 5538, 2354, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 10167, 796, 359, 11, 7369, 359, 11, 1477, 395, 481, 0, 1474, 856, 317, 359, 657, 487, 313, 2149, 11, 17353, 30, 2128, 359, 43573, 510, 30, 2128, 359, 33155, 30, 487, 21675, 2860, 11564, 842, 245, 10251, 280, 245, 86534, 285, 20475, 359, 276, 857, 331, 895, 14568, 12, 10298, 5540, 13, 452, 3237, 377, 47952, 271, 430, 254, 14568, 285, 586, 3059, 5464, 25, 245, 735, 13473, 280, 32578, 2373, 855, 359, 11, 285, 245, 13357, 280, 586, 1712, 61919, 13, 207, 2901, 50, 1513, 21313, 361, 314, 44017, 359, 0, 487, 362, 993, 13, 207, 2901, 4529, 3766, 636, 280, 254, 86933, 12, 14821, 11, 307, 2063, 0, 1955, 352, 4059, 13, 100001, 2450, 32545, 279, 1462, 7636, 11, 285, 362, 7045, 487, 83, 15886, 254, 19327, 842, 586, 4054, 11, 601, 5538, 4054, 13, 487, 20765, 2730, 254, 14568, 11, 362, 3061, 245, 8089, 280, 254, 518, 2808, 281, 285, 49258, 11232, 359, 13, 1063, 36070, 11, 285, 245, 4357, 280, 90565, 18176, 857, 13, 100001, 2901, 56907, 0, 2366, 0, 487, 362, 7858, 43116, 13, 207, 2901, 2054, 1682, 276, 58612, 4922, 324, 1513, 21313, 361, 314, 13, 52948, 285, 38601, 11, 362, 481, 487, 83, 6540, 344, 13, 1063, 1534, 73554, 13, 1474, 324, 1513, 21313, 361, 314, 2845, 487, 83, 2764, 13, 30287, 38501, 11834, 0, 324, 1513, 21313, 361, 314, 643, 15561, 13, 1063, 543, 73554, 13, 1063, 481, 487, 83, 6540, 38501, 11834, 487, 3427, 13, 1063, 543, 73554, 13, 30302, 10212, 324, 1513, 21313, 361, 314, 0, 487, 207, 2901, 40, 487, 76, 11547, 11, 487, 993, 21675, 2860, 26, 207, 2901, 2381, 304, 481, 487, 83, 1345, 340, 11, 304, 487, 76, 10297, 13, 304, 1378, 437, 3427, 744, 536, 340, 1207, 11, 565, 340, 744, 1682, 13, 1474, 5216, 340, 481, 487, 83, 1236, 1682, 11, 441, 2618, 12344, 13, 487, 429, 38501, 11834, 50527, 2910, 704, 518, 2808, 281, 279, 12114, 13, 7421, 2215, 344, 359, 41994, 2367, 2018, 11, 13505, 11, 853, 359, 661, 327, 245, 1207, 1477, 25, 452, 3237, 377, 487, 82, 12746, 661, 1401, 857, 8350, 276, 895, 30477, 1310, 13, 1474, 362, 1216, 441, 2213, 9016, 13, 452, 3237, 377, 12835, 1131, 76740, 282, 473, 1297, 276, 8602, 11, 837, 274, 2162, 401, 5025, 457, 245, 90662, 487, 82, 8653, 13, 9315, 754, 657, 661, 7370, 285, 778, 17714, 276, 1610, 11, 438, 362, 12403, 19561, 344, 657, 661, 642, 8628, 263, 3005, 475, 344, 362, 1027, 4127, 279, 13, 2928, 362, 2674, 285, 2659, 457, 3177, 245, 1860, 57068, 2302, 285, 62713, 13993, 245, 1585, 13, 100001, 2901, 9610, 1285, 0, 487, 7421, 22112, 276, 21675, 2860, 11, 441, 1653, 26380, 25, 362, 1216, 441, 1921, 8601, 25450, 38, 3237, 377, 23959, 6526, 256, 1265, 13, 2901, 1380, 487, 60636, 1973, 495, 1550, 498, 25891, 674, 11, 304, 487, 647, 14524, 13, 1257, 614, 276, 5476, 11, 2195, 13, 21675, 2860, 11, 285, 304, 487, 647, 1282, 340, 754, 304, 481, 487, 83, 2240, 601, 71641, 3817, 1900, 581, 13, 13932, 285, 786, 11, 1246, 372, 1323, 11, 1477, 362, 487, 82, 15374, 13, 487, 207 ]
[ 100000, 13, 100001, 2901, 1898, 344, 254, 1473, 1606, 1006, 441, 254, 3510, 11, 487, 993, 8427, 23280, 13, 100001, 3220, 344, 254, 18448, 280, 254, 13445, 2373, 285, 5426, 768, 276, 254, 51499, 280, 64749, 26, 285, 745, 657, 1503, 704, 3997, 279, 254, 8324, 11, 285, 704, 6244, 438, 245, 30542, 634, 13, 1494, 245, 1477, 657, 10408, 285, 13364, 11, 72259, 327, 245, 8749, 2516, 279, 6942, 285, 1610, 1090, 254, 4421, 1461, 581, 279, 254, 68269, 19829, 280, 254, 5183, 13, 2928, 754, 50762, 5322, 25761, 11, 657, 2674, 285, 2659, 2065, 254, 4239, 366, 254, 40586, 1209, 280, 254, 51499, 280, 64749, 4435, 768, 26, 285, 2302, 69804, 1323, 768, 438, 254, 1308, 63454, 52813, 279, 254, 4281, 11, 372, 359, 51486, 2302, 11, 636, 280, 254, 7702, 1236, 280, 8427, 23280, 11, 881, 254, 5505, 54222, 285, 5575, 67924, 280, 68350, 3926, 246, 285, 5178, 94921, 296, 2008, 13, 100001, 2280, 1132, 8427, 23280, 7276, 13117, 11, 1477, 254, 3072, 13364, 11, 285, 362, 4133, 636, 2481, 254, 4281, 11, 285, 372, 362, 32182, 362, 3505, 3682, 5532, 12, 40543, 24654, 581, 254, 9321, 13, 100001, 2901, 9610, 0, 487, 362, 7899, 13, 207, 2901, 38, 24605, 0, 1955, 418, 15892, 2367, 51561, 13, 338, 3860, 657, 418, 276, 525, 285, 245, 8168, 276, 601, 2997, 13, 12572, 279, 521, 601, 1728, 661, 304, 2011, 768, 11, 2645, 395, 2373, 276, 19798, 1141, 348, 11, 285, 745, 304, 4101, 768, 24302, 279, 254, 3207, 372, 395, 19354, 276, 254, 8680, 280, 254, 15007, 13, 2928, 304, 6626, 1592, 11, 39427, 4429, 279, 14901, 12, 25914, 26, 327, 704, 259, 20044, 18887, 8921, 276, 525, 280, 254, 15441, 13, 429, 15441, 0, 49812, 0, 304, 463, 441, 2618, 40547, 359, 13, 1474, 4399, 279, 254, 14495, 280, 521, 601, 60605, 11012, 254, 5532, 12, 5509, 272, 11, 588, 359, 317, 65601, 276, 13586, 13, 49812, 0, 327, 254, 307, 24605, 13, 2366, 6942, 2786, 304, 463, 1310, 1090, 96893, 410, 36504, 12, 25914, 11, 285, 1228, 2722, 276, 536, 13, 1474, 565, 521, 254, 4770, 22503, 1529, 276, 254, 32711, 660, 11, 359, 543, 330, 245, 20224, 250, 1843, 327, 1462, 779, 418, 49983, 276, 4152, 13, 487, 207, 2901, 35, 897, 285, 51882, 6031, 0, 487, 993, 50762, 13, 207, 2901, 2054, 1534, 441, 614, 276, 254, 32711, 660, 11, 8427, 23280, 13, 2071, 543, 1958, 330, 742, 22503, 11, 2567, 410, 1585, 11, 285, 1236, 245, 1860, 13430, 24965, 1606, 837, 65771, 807, 11, 779, 933, 340, 13, 2803, 2754, 304, 3655, 558, 13, 15062, 304, 2213, 13505, 344, 254, 11312, 280, 437, 4429, 317, 1592, 276, 1865, 13, 100001, 2819, 304, 4796, 359, 438, 521, 855, 11, 285, 1136, 855, 0, 487, 207, 2901, 7390, 487, 83, 330, 558, 37607, 0, 487, 7899, 375, 12082, 246, 13, 207, 2901, 549, 5071, 317, 25288, 11, 285, 1285, 395, 418, 2854, 327, 245, 1492, 410, 984, 430, 2754, 13, 304, 1121, 276, 4704, 691, 786, 340, 521, 13, 15512, 11, 65771, 807, 0, 1257, 285, 8427, 23280, 463, 6346, 520, 8387, 8398, 366, 6536, 1421, 786, 245, 16591, 2602, 2571, 437, 4421, 13, 1474, 340, 7398, 487, 83, 3542, 525, 3270, 786, 359, 13, 487, 207, 2901, 549, 5071, 975, 25801, 1285, 11, 487, 993, 65771, 807, 11, 207, 2901, 2381, 745, 418, 16939, 280, 344, 4559, 344, 304, 536, 441, 4796, 276, 10461, 636, 280, 254, 16342, 13, 15918, 304, 3185, 856, 438, 1323, 525, 11, 304, 1378, 344, 441, 327, 688, 19422, 744, 304, 463, 3443, 254, 16228, 82, 280, 254, 20241, 13, 487, 207, 2901, 549, 16228, 82, 280, 254, 20241, 30, 487, 993, 375, 12082, 246, 13, 207, 2901, 40, 4101, 52334, 1752, 1481, 344, 11, 285, 304, 21517, 856, 362, 1027, 2059, 13, 46824, 487, 83, 340, 2410, 450, 742, 691, 30, 487, 207, 2901, 3647, 45088, 11, 487, 993, 65771, 807, 13, 207, 2901, 1988, 2065, 344, 4559, 304, 438, 1957, 276, 16635, 25, 65771, 807, 452, 789, 21313, 246, 487, 82, 4278, 11, 779, 661, 24712, 3177, 691, 13768, 853, 10889, 11, 285, 2074, 1369, 1090, 6039, 853, 688, 86933, 13, 1474, 8533, 1216, 304, 6650, 26, 285, 304, 438, 4586, 276, 254, 4559, 889, 457, 254, 543, 280, 52334, 1752, 13, 487, 207, 2901, 2280, 457, 254, 2126, 280, 857, 839, 11, 487, 993, 8427, 23280, 13, 207, 2901, 1988, 521, 1462, 779, 1865, 276, 1006, 857, 1865, 276, 2126, 857, 1166, 704, 1377, 8170, 11, 1236, 254, 6159, 33722, 280, 254, 50316, 348, 4383, 13, 809, 438, 430, 3923, 33124, 280, 254, 1492, 31076, 340, 2373, 745, 11, 50762, 11, 344, 395, 2116, 15612, 71, 2713, 11, 285, 1108, 245, 5663, 438, 331, 521, 254, 22503, 344, 5249, 744, 1068, 331, 769, 1872, 11, 4617, 254, 10850, 427, 21313, 322, 1944, 11, 779, 11012, 1132, 12392, 279, 254, 5989, 2877, 13, 2071, 438, 20110, 430, 344, 44749, 11, 285, 304, 438, 72423, 276, 26641, 359, 13, 487, 207, 2901, 60345, 0, 304, 661, 2997, 889, 327, 4367, 11, 487, 993, 65771, 807, 13, 207, 2901, 38157, 0, 304, 543, 441, 3753, 280, 344, 8398, 13, 487, 1063, 7276, 13117, 26, 548, 375, 12082, 246, 285, 50762, 778, 558, 14160, 327, 4921, 344, 430, 1562, 8427, 23280, 993, 25, 207, 2901, 40, 543, 2410, 340, 2527, 327, 520, 6942, 26, 327, 304, 4749, 441, 254, 20040, 11, 285, 304, 26619, 441, 254, 25851, 280, 10889, 11, 70686, 285, 68714, 372, 304, 24712, 768, 13, 487, 28992, 326, 937, 362, 3542, 280, 254, 46045, 4559, 1090, 254, 14499, 11, 285, 254, 4426, 528, 918, 430, 69797, 358, 11, 285, 254, 1228, 10502, 34042, 11, 49925, 41519, 285, 1853, 11, 276, 19798, 1141, 348, 331, 1308, 63454, 13, 207, 2901, 27428, 2507, 285, 16919, 11, 285, 331, 881, 245, 18097, 11, 395, 19354, 473, 254, 6350, 17365, 11, 487, 362, 993, 13, 207, 2901, 2280, 645, 0, 279, 254, 16342, 280, 364, 694, 256, 601, 3655, 8728, 26, 327, 279, 344, 22569, 254, 37134, 16103, 4759, 276, 2554, 13338, 285, 691, 12906, 276, 1068, 2065, 13, 4754, 304, 3505, 17040, 11, 6644, 98252, 769, 11549, 11, 285, 24671, 4078, 450, 11, 285, 744, 463, 5079, 450, 457, 11, 565, 52334, 1752, 661, 441, 33710, 768, 13, 100001, 2901, 3567, 586, 2525, 657, 7276, 1062, 13, 207, 2901, 2901, 13097, 254, 26318, 280, 10889, 418, 56581, 276, 586, 543, 11, 56988, 304, 2215, 13, 207, 2901, 2901, 5490, 975, 5043, 586, 3277, 2618, 0, 56988, 207, 2901, 4711, 1492, 280, 2156, 395, 19354, 11, 285, 937, 2373, 254, 1492, 1673, 23608, 11, 285, 1592, 395, 19354, 331, 11, 285, 33487, 296, 285, 26500, 789, 21313, 395, 17033, 26, 285, 331, 254, 4443, 1492, 395, 2373, 276, 12514, 60904, 2330, 254, 8602, 280, 17308, 3403, 13, 1308, 745, 1743, 280, 413, 4065, 249, 71219, 254, 327, 6353, 366, 7276, 22503, 280, 49851, 1684, 285, 5297, 308, 779, 661, 33997, 581, 254, 8144, 13, 1474, 55745, 285, 48648, 19133, 4366, 581, 254, 8680, 285, 24517, 754, 395, 2373, 11, 24302, 636, 344, 254, 5047, 280, 254, 20241, 438, 2065, 768, 13, 9315, 5542, 4439, 11, 5157, 280, 413, 4065, 249, 11, 661, 254, 2997, 276, 45314, 450, 26, 285, 52334, 1752, 38539, 857, 10810, 586, 22503, 285, 1865, 4435, 11, 565, 657, 30725, 11, 754, 254, 25260, 16103, 661, 5079, 13, 100001, 2901, 207, 2901, 2901, 3567, 19798, 1141, 348, 254, 1063, 348, 280, 2128, 858, 332, 543, 463, 933, 280, 340, 11, 56988, 362, 993, 13, 100001, 2901, 11775, 395, 17033, 855, 17308, 3403, 11, 8541, 254, 32758, 280, 364, 694, 256, 279, 5353, 1323, 450, 26, 285, 937, 395, 31611, 245, 1477, 13, 1474, 3444, 52334, 1752, 23548, 11, 5366, 25, 207, 2901, 2901, 11856, 0, 2571, 4302, 281, 41821, 349, 317, 88124, 13, 304, 5663, 344, 359, 543, 3467, 31076, 395, 1865, 276, 895, 10731, 13, 56988, 2086, 395, 13259, 1310, 1323, 2653, 661, 5079, 285, 2674, 331, 366, 521, 254, 4583, 344, 769, 11549, 1027, 29751, 855, 254, 39584, 280, 68350, 3926, 246, 13, 487, 8427, 23280, 24882, 285, 34456, 11, 285, 9860, 586, 3545, 69804, 26380, 362, 19544, 25, 17535, 3460, 254, 21410, 473, 21638, 378, 276, 427, 734, 72, 685, 254, 5575, 5633, 280, 68350, 3926, 246, 0, 33337, 19112, 254, 11387, 745, 13, 685, 254, 5409, 473, 254, 15441, 429, 3682, 81052, 32407, 11, 1308, 254, 14544, 33257, 418, 44876, 280, 27678, 378, 285, 70720, 348, 246, 685, 254, 5575, 5633, 280, 68350, 3926, 246, 11, 685, 254, 5409, 473, 254, 15441, 0, 207, 2901, 21211, 418, 1462, 5633, 279, 254, 11688, 280, 601, 1245, 26, 548, 657, 778, 4426, 937, 11, 14518, 70787, 279, 254, 91741, 1323, 450, 13, 1308, 855, 254, 5505, 3114, 11, 24486, 6513, 405, 247, 50913, 254, 11387, 285, 254, 10252, 11, 395, 55601, 769, 48648, 1184, 245, 1492, 285, 245, 2653, 11, 2645, 395, 2373, 430, 254, 17406, 1225, 276, 254, 6982, 9321, 430, 1562, 13, 100001, 2901, 4631, 304, 2215, 279, 601, 2997, 344, 395, 12419, 3345, 276, 254, 15441, 26, 327, 5505, 438, 254, 2354, 279, 254, 16342, 11, 285, 5532, 12, 40543, 51176, 7899, 331, 895, 36027, 13, 49812, 327, 254, 259, 20044, 280, 254, 307, 24605, 0, 12887, 441, 254, 10850, 2410, 525, 276, 63049, 280, 768, 30, 1308, 1132, 304, 2977, 7654, 768, 13, 487, 207, 2901, 1988, 601, 697, 304, 35871, 271, 768, 441, 11, 487, 993, 65771, 807, 26, 207, 2901, 1467, 395, 2373, 937, 430, 1562, 2065, 8680, 279, 18727, 13, 2071, 430, 19798, 1141, 348, 2762, 254, 1969, 19093, 280, 8102, 5663, 366, 768, 26, 285, 742, 280, 254, 15007, 661, 1957, 842, 11, 12489, 276, 10778, 1224, 254, 9321, 410, 276, 5934, 254, 2367, 14450, 26, 285, 1313, 280, 254, 6611, 9896, 778, 547, 95457, 13, 1474, 254, 5297, 308, 4383, 11, 1435, 1132, 11516, 276, 254, 63330, 11, 4540, 430, 17690, 11, 285, 657, 778, 25984, 279, 22553, 26, 285, 657, 14032, 754, 657, 4133, 331, 450, 11, 327, 657, 778, 245, 1228, 10053, 1592, 13, 100001, 2901, 2395, 52334, 1752, 41639, 285, 7899, 366, 245, 1228, 5136, 25, 207, 2901, 2901, 4388, 1865, 0, 3563, 254, 6350, 17365, 304, 1282, 340, 0, 56988, 1308, 8963, 254, 37134, 16103, 344, 661, 11704, 1062, 430, 254, 1562, 2373, 581, 837, 245, 14518, 26760, 11, 37560, 521, 2302, 1323, 359, 13, 417, 3005, 29493, 304, 4101, 11, 285, 4165, 44055, 31244, 11, 285, 245, 49656, 372, 280, 28319, 2367, 18887, 25, 359, 438, 837, 254, 6393, 280, 742, 15503, 8680, 279, 254, 17514, 24563, 1234, 4084, 13, 39428, 44914, 778, 10237, 26, 548, 304, 1006, 441, 3203, 704, 42338, 744, 1592, 24626, 11, 327, 254, 20241, 4067, 642, 4172, 688, 17094, 548, 5663, 13, 7741, 744, 40355, 768, 13, 100001, 2901, 1898, 1131, 5225, 657, 2373, 344, 438, 10237, 581, 11, 285, 937, 657, 5079, 855, 254, 2354, 276, 1462, 344, 778, 56106, 26, 285, 521, 254, 82593, 778, 8148, 366, 245, 40549, 280, 11845, 285, 44893, 64996, 11, 4617, 254, 21209, 55484, 276, 254, 57718, 13, 1926, 814, 1568, 395, 19354, 3264, 769, 72744, 48648, 11, 8541, 768, 837, 8242, 11, 2645, 395, 2373, 276, 254, 14450, 13, 1308, 937, 276, 1319, 280, 254, 1228, 15007, 344, 10471, 52334, 1752, 2143, 634, 280, 254, 9497, 21313, 13402, 444, 11, 285, 657, 72883, 254, 86195, 344, 778, 33143, 11, 285, 38539, 768, 1957, 12159, 5663, 285, 330, 2094, 13, 100001, 2901, 36, 248, 344, 4426, 1492, 9765, 5249, 280, 254, 9470, 778, 2116, 276, 3890, 450, 26, 521, 778, 45257, 11, 410, 778, 15892, 8868, 279, 254, 3655, 276, 1275, 704, 1377, 19369, 2065, 4414, 13, 47263, 285, 7289, 304, 2215, 359, 344, 254, 11115, 280, 364, 694, 256, 1023, 330, 855, 54276, 457, 1108, 259, 402, 349, 82, 280, 5663, 285, 16342, 13, 100001, 3220, 895, 1377, 15872, 438, 359, 11312, 271, 0, 487, 207, 2901, 88829, 6031, 11, 487, 993, 8427, 23280, 13, 207, 2901, 774, 344, 5064, 304, 4133, 331, 52334, 1752, 285, 2215, 946, 1228, 285, 12906, 245, 5157, 362, 1667, 463, 3261, 279, 254, 6313, 280, 586, 543, 11, 661, 362, 3443, 254, 26500, 276, 3177, 13, 3688, 327, 66003, 1217, 364, 694, 256, 5663, 857, 13, 1474, 88982, 317, 586, 5786 ]

[ 100000, 3545, 13, 100001, 2901, 7649, 304, 1592, 40610, 30, 487, 362, 35351, 13, 207, 2901, 2395, 254, 750, 15763, 778, 22319, 13, 487, 207, 2901, 2054, 487, 248, 441, 40610, 430, 521, 11, 9890, 11, 487, 993, 7421, 13, 207, 2901, 1385, 487, 82, 1590, 13, 809, 487, 82, 525, 13, 100001, 40, 487, 313, 1865, 13, 487, 207, 2901, 40, 481, 10983, 3634, 359, 11, 487, 993, 21675, 2860, 11, 41390, 272, 857, 13, 207, 2901, 2960, 438, 274, 410, 66, 366, 245, 34996, 11, 285, 937, 359, 9236, 881, 7421, 0, 2928, 304, 6740, 487, 83, 40610, 1166, 521, 754, 304, 4101, 344, 17003, 1224, 2877, 11, 285, 304, 3657, 276, 3510, 30, 14470, 359, 340, 30, 487, 207, 2901, 1385, 438, 6031, 11, 2195, 13, 21675, 2860, 13, 304, 487, 67, 2028, 581, 3655, 11, 3308, 13, 304, 7045, 487, 83, 1275, 340, 13, 487, 207, 2901, 6636, 11, 340, 463, 1132, 11, 7421, 11, 7415, 7421, 11, 487, 993, 21675, 2860, 11, 285, 362, 2762, 1062, 279, 7421, 487, 82, 8771, 7921, 11, 15625, 586, 3545, 11, 837, 245, 1867, 430, 1610, 754, 2653, 12, 69, 6984, 418, 11516, 2302, 457, 742, 7130, 5136, 410, 1297, 13, 100001, 22407, 4749, 344, 362, 1027, 2097, 837, 344, 279, 23235, 14036, 26, 548, 359, 438, 441, 5987, 13, 809, 438, 441, 2527, 327, 857, 276, 1275, 586, 5738, 11, 362, 661, 1592, 276, 1682, 285, 4617, 857, 13, 1063, 28734, 21675, 2860, 487, 82, 28069, 13, 207, 2901, 17095, 0, 38771, 581, 11, 2195, 13, 21675, 2860, 0, 487, 362, 993, 11, 3507, 276, 3066, 372, 30760, 372, 362, 661, 754, 362, 12419, 1062, 254, 31952, 430, 20578, 8386, 331, 245, 6237, 487, 82, 4421, 13, 100001, 53556, 2860, 34456, 285, 2659, 581, 13, 207, 2901, 9595, 418, 395, 30, 1724, 1216, 304, 752, 1285, 30, 487, 362, 3637, 13, 100001, 2901, 2960, 487, 82, 642, 766, 327, 29915, 6309, 395, 752, 11155, 1979, 11, 2195, 13, 21675, 2860, 11, 487, 993, 7421, 13, 207, 2901, 2395, 340, 487, 248, 279, 254, 1869, 280, 344, 18972, 340, 285, 525, 3505, 473, 2302, 1224, 457, 254, 27857, 1323, 254, 410, 5508, 2149, 340, 13, 1724, 1234, 4084, 344, 438, 304, 1113, 487, 83, 1006, 13, 4600, 853, 245, 1492, 11, 304, 6384, 13, 487, 207, 2901, 11723, 344, 30, 487, 993, 21675, 2860, 13, 207, 2901, 1385, 3354, 5752, 13, 1257, 1534, 2410, 525, 521, 786, 359, 11, 565, 395, 752, 245, 5518, 13, 22494, 5906, 525, 11, 3320, 487, 83, 359, 30, 1308, 304, 7276, 881, 16342, 285, 34637, 15763, 11, 285, 33734, 285, 1503, 344, 36883, 438, 9507, 13, 2489, 5508, 778, 521, 4078, 525, 13, 304, 1378, 657, 661, 953, 803, 39984, 742, 22319, 15200, 7369, 1224, 601, 21480, 13, 2682, 1917, 10318, 3662, 11, 548, 304, 438, 75349, 285, 25761, 13, 1955, 38492, 525, 280, 3694, 26, 285, 937, 984, 1228, 1580, 3276, 2373, 285, 31507, 525, 11, 31507, 525, 2645, 2901, 2054, 2115, 487, 83, 11, 565, 340, 3075, 786, 768, 11, 2195, 13, 21675, 2860, 11, 487, 993, 7421, 13, 207, 2901, 2280, 565, 395, 1113, 487, 83, 1121, 276, 1019, 768, 1310, 11, 254, 19026, 395, 752, 1872, 254, 2018, 13, 2755, 340, 3667, 30, 487, 207, 2901, 5661, 11, 304, 481, 3667, 11, 487, 993, 21675, 2860, 11, 3442, 581, 9405, 13, 207, 2901, 40, 608, 441, 12392, 11, 7421, 13, 9315, 304, 2213, 1079, 13400, 11, 285, 304, 487, 313, 245, 4452, 1285, 13, 487, 1063, 1957, 586, 1297, 276, 254, 1062, 280, 586, 10225, 2330, 586, 2116, 14307, 13, 1063, 6626, 581, 11, 285, 359, 4133, 276, 7421, 372, 565, 362, 438, 51914, 279, 24138, 25, 586, 22707, 6219, 438, 47136, 279, 254, 2156, 280, 254, 15817, 2330, 13, 82597, 362, 59373, 3246, 254, 6597, 13, 100001, 2901, 4026, 487, 82, 2018, 0, 487, 362, 993, 11, 586, 18253, 12698, 245, 1585, 13, 207, 2901, 40, 3320, 487, 83, 18628, 276, 2938, 754, 304, 438, 2116, 5254, 11, 410, 634, 280, 254, 29526, 2373, 13, 30024, 254, 64249, 285, 13286, 4732, 13, 429, 984, 2567, 1580, 3276, 25, 657, 89295, 271, 11, 304, 1378, 13, 8075, 525, 285, 601, 2012, 13, 304, 2762, 1285, 46084, 13, 1308, 937, 521, 2674, 27661, 7257, 11, 285, 344, 438, 9507, 13, 487, 207, 2901, 5661, 11, 657, 89295, 271, 11, 24926, 11, 487, 993, 7421, 13, 207, 2901, 2960, 1534, 463, 803, 245, 5457, 280, 5197, 280, 254, 19969, 21774, 279, 437, 1810, 13, 338, 2683, 280, 245, 8670, 1835, 327, 7421, 42724, 49675, 11, 372, 340, 1667, 1481, 13, 1474, 657, 487, 313, 2368, 521, 254, 18407, 280, 4449, 13, 2608, 487, 82, 16051, 11, 548, 359, 487, 82, 1653, 1234, 276, 1099, 245, 5654, 786, 11, 6309, 395, 487, 248, 636, 280, 1285, 13, 4201, 856, 487, 82, 276, 330, 2368, 30, 1257, 481, 487, 83, 614, 10147, 279, 254, 6350, 10245, 279, 66003, 548, 520, 6219, 11, 2195, 13, 21675, 2860, 13, 487, 207, 2901, 5490, 487, 313, 3443, 3694, 11, 7421, 11, 487, 993, 21675, 2860, 13, 207, 2901, 30856, 304, 661, 13, 100001, 4453, 340, 2579, 30, 18968, 0, 487, 1063, 13917, 1883, 331, 254, 6597, 1310, 366, 31788, 1917, 11, 372, 586, 1377, 3073, 4832, 1719, 276, 857, 254, 85268, 280, 254, 21666, 11, 285, 22553, 35321, 857, 13, 207, 2901, 549, 1796, 643, 5985, 11, 7421, 13, 6809, 565, 395, 752, 636, 280, 1285, 11, 395, 481, 487, 83, 10778, 13, 9315, 1473, 1606, 481, 10778, 13, 42159, 11, 2302, 636, 280, 14901, 12, 25914, 11, 2367, 2302, 855, 254, 15441, 13, 1273, 1236, 344, 317, 5505, 2527, 276, 2240, 254, 37134, 636, 13, 487, 207, 2901, 3233, 11, 441, 3694, 11, 2195, 13, 21675, 2860, 13, 1308, 359, 15349, 487, 83, 5985, 11, 441, 2618, 13, 304, 3061, 359, 11, 2195, 13, 21675, 2860, 11, 50740, 520, 25880, 13, 1308, 304, 487, 313, 5982, 359, 5730, 13, 809, 487, 82, 4078, 601, 10225, 1132, 11, 285, 245, 12906, 18953, 359, 317, 11, 1653, 13, 487, 7421, 267, 20855, 327, 254, 26500, 285, 895, 8369, 13, 207, 2901, 2395, 304, 8259, 340, 1534, 1529, 359, 1062, 13, 487, 4201, 359, 661, 1865, 276, 359, 11, 7421, 4749, 45656, 276, 2102, 581, 254, 26500, 285, 18953, 586, 5738, 366, 359, 1310, 13, 100001, 2901, 2054, 487, 313, 2149, 359, 30, 487, 50399, 21675, 2860, 13, 207, 2901, 2054, 487, 313, 2149, 359, 1285, 30, 7421, 11, 340, 487, 248, 245, 30774, 0, 487, 2928, 5397, 285, 38360, 586, 10805, 5464, 13, 207, 2901, 27559, 359, 276, 525, 0, 487, 362, 7899, 11, 8898, 581, 11, 9523, 636, 245, 31345, 1297, 13, 207, 2901, 27559, 359, 525, 430, 2561, 0, 1257, 481, 487, 83, 463, 359, 0, 487, 207, 2901, 3315, 1329, 11, 2195, 13, 21675, 2860, 11, 487, 993, 7421, 11, 3272, 37728, 13, 207, 2901, 4898, 359, 317, 0, 487, 80809, 362, 12419, 254, 26500, 636, 285, 5079, 254, 8369, 855, 586, 1917, 13, 207, 2901, 2395, 340, 487, 248, 279, 254, 3114, 280, 364, 694, 256, 1132, 11, 8005, 26, 285, 754, 340, 752, 636, 11, 340, 487, 647, 1019, 254, 417, 1369, 88, 17165, 285, 521, 13, 1257, 487, 647, 1275, 254, 26500, 1079, 11866, 1132, 11, 285, 1079, 2074, 276, 8982, 13, 1273, 359, 487, 82, 1653, 2074, 245, 3112, 11, 304, 1027, 4127, 359, 366, 26081, 13, 207, 2901, 3233, 340, 2115, 487, 83, 11, 340, 39925, 2081, 487, 1063, 265, 7880, 11, 30118, 430, 7421, 366, 3545, 5505, 366, 5663, 285, 92892, 13, 2928, 8963, 11, 497, 42162, 254, 26500, 279, 634, 82558, 41693, 11, 362, 6626, 245, 96595, 13, 338, 6389, 4759, 276, 3662, 473, 586, 3545, 11, 285, 362, 5079, 245, 1297, 855, 586, 75349, 28372, 13, 429, 49255, 10046, 661, 4759, 558, 1590, 276, 857, 11, 3222, 96700, 4516, 372, 362, 438, 1592, 366, 20401, 285, 5663, 13, 7421, 661, 5464, 1323, 586, 1079, 3545, 881, 274, 410, 66, 1310, 11, 518, 2032, 285, 60948, 272, 430, 586, 20017, 11, 245, 34637, 1585, 18588, 366, 43010, 3545, 285, 1906, 659, 701, 272, 8602, 13, 1474, 1132, 254, 10046, 661, 5079, 13, 100001, 2960, 438, 7421, 61401, 1323, 857, 11, 586, 3059, 92058, 366, 4452, 11, 372, 565, 362, 661, 803, 78266, 279, 254, 2997, 26, 12867, 1136, 271, 473, 586, 3545, 13, 100001, 2901, 46, 7421, 0, 487, 7899, 21675, 2860, 13, 207, 2901, 2640, 463, 304, 993, 30, 2461, 463, 304, 2368, 30, 1494, 20362, 525, 0, 4128, 521, 340, 463, 2368, 13, 809, 317, 254, 22319, 1823, 280, 254, 26500, 13, 304, 4796, 359, 661, 1866, 11, 1866, 11, 803, 1503, 13, 1474, 1113, 487, 83, 2764, 525, 11, 7421, 13, 304, 1534, 5652, 254, 18953, 276, 254, 1225, 13, 809, 481, 487, 83, 330, 25719, 13, 1257, 481, 487, 83, 1865, 1439, 525, 285, 437, 48237, 13, 487, 207, 2901, 4026, 487, 82, 521, 1329, 11, 2195, 13, 21675, 2860, 11, 487, 993, 7421, 11, 48988, 586, 33989, 3246, 586, 3545, 13, 207, 2901, 40, 2579, 13, 1474, 304, 481, 1592, 1345, 11, 481, 487, 83, 304, 30, 304, 487, 313, 2149, 276, 752, 340, 636, 280, 1285, 13, 2803, 2561, 11, 1019, 0, 1474, 1022, 340, 1121, 742, 11445, 285, 15854, 11, 285, 937, 742, 3427, 13, 429, 11445, 543, 330, 254, 21426, 697, 13, 1733, 395, 487, 248, 279, 364, 694, 256, 11, 395, 487, 67, 1608, 5877, 581, 364, 694, 256, 12, 25391, 26, 285, 12344, 745, 4269, 487, 83, 642, 4858, 13, 809, 487, 647, 463, 276, 330, 410, 66, 12, 43701, 327, 340, 11, 2195, 13, 21675, 2860, 11, 304, 487, 76, 10297, 13, 1308, 327, 525, 1653, 13, 1273, 395, 614, 2854, 11, 395, 487, 67, 1608, 4174, 13, 4201, 1957, 437, 4078, 340, 0, 487, 7421, 92359, 30071, 586, 14518, 38271, 285, 4733, 359, 786, 21675, 2860, 487, 82, 17459, 13, 100001, 4631, 5211, 2237, 272, 586, 2390, 362, 9835, 359, 331, 254, 6597, 13, 1063, 12419, 900, 272, 473, 895, 79257, 13, 11068, 326, 245, 76763, 438, 276, 330, 2826, 2065, 895, 26965, 13, 207, 2901, 40, 438, 39427, 437, 11, 2195, 13, 21675, 2860, 11, 487, 362, 993, 13, 207, 2901, 3233, 11, 657, 3320, 487, 83, 752, 3694, 0, 1257, 26407, 525, 900, 272, 11, 565, 340, 5175, 11, 285, 254, 10850, 487, 82, 6696, 13, 304, 487, 313, 2149, 768, 1572, 1592, 13, 1474, 32537, 768, 276, 525, 245, 1585, 4172, 11, 2195, 13, 21675, 2860, 13, 304, 1534, 614, 285, 1019, 856, 304, 481, 1275, 13, 1257, 4152, 1285, 13, 14325, 786, 245, 2683, 285, 11535, 520, 12882, 13, 304, 65168, 487, 83, 330, 1234, 13, 304, 65168, 487, 83, 463, 276, 614, 2367, 13, 487, 207, 2901, 15004, 2062, 11, 7421, 0, 487, 993, 21675, 2860, 13, 207, 2901, 2280, 330, 3399, 0, 2071, 975, 330, 410, 5508, 1592, 13260, 11, 69465, 279, 3825, 13, 487, 207, 2901, 40, 487, 313, 2149, 276, 5518, 359, 11, 487, 993, 7421, 13, 1063, 20210, 276, 254, 21389, 12, 8569, 285, 27885, 1224, 254, 29007, 13, 685, 245, 8298, 586, 1917, 298, 30471, 13, 1063, 15188, 245, 1234, 19340, 331, 254, 6597, 13, 100001, 2901, 2960, 487, 82, 1874, 344, 1667, 330, 5629, 11, 487, 362, 993, 13, 207, 2901, 2450, 487, 82, 5030, 25, 254, 634, 344, 49536, 340, 13, 5835, 400, 586, 10225, 11, 359, 3354, 11, 279, 586, 25683, 13, 4201, 340, 4305, 581, 254, 29007, 11, 565, 340, 481, 11, 2195, 13, 21675, 2860, 26, 285, 1113, 487, 83, 340, 1632, 359, 1224, 6309, 340, 4704, 525, 1282, 254, 1452, 12, 2687, 13, 1473, 65, 669, 393, 304, 487, 647, 1282, 13, 2461, 254, 1473, 1606, 1481, 13, 2366, 410, 66, 744, 1481, 344, 13, 487, 8949, 857, 11, 285, 276, 2240, 586, 2764, 16134, 11, 4732, 276, 3667, 276, 285, 9963, 11, 265, 15586, 285, 74005, 881, 1131, 8089, 280, 586, 9311, 13, 100001, 1385, 438, 441, 1079, 1234, 11, 2451, 5663, 1401, 359, 1751, 274, 5064, 430, 2754, 11, 1323, 362, 4101, 7421, 487, 82, 5136, 9609, 26380, 473, 2877, 25, 1473, 65, 669, 393, 11, 1473, 65, 669, 393, 13, 21675, 2860, 1632, 1224, 254, 2156, 29007, 13, 5530, 2373, 7421, 11, 32836, 272 ]

[ 100000, 56341, 25851, 280, 1234, 12, 15503, 64912, 13, 100001, 2124, 254, 1492, 18403, 331, 254, 2156, 7322, 245, 1585, 11, 285, 254, 95027, 18949, 11, 7476, 53774, 285, 691, 14867, 13, 13095, 2330, 254, 6299, 285, 48664, 2443, 280, 254, 1843, 254, 5071, 438, 17040, 1461, 285, 14544, 1132, 279, 245, 52336, 3085, 366, 22693, 280, 52884, 23513, 11, 548, 889, 245, 9989, 17991, 280, 711, 1027, 657, 1019, 2877, 11, 13739, 1674, 11, 14211, 11, 5749, 642, 9273, 285, 642, 28739, 13, 100001, 2395, 1236, 430, 437, 17203, 29780, 280, 711, 6943, 452, 3237, 377, 97920, 1215, 285, 1278, 59173, 13, 1063, 41639, 704, 8398, 11, 285, 657, 31611, 11, 64650, 1255, 837, 1585, 55601, 8466, 11, 279, 254, 26922, 280, 245, 1228, 10176, 52856, 12, 393, 13759, 13, 2071, 438, 245, 4399, 12114, 11, 889, 91746, 331, 895, 18065, 457, 254, 17203, 36887, 280, 7137, 12690, 12, 449, 9912, 11, 285, 7488, 11387, 12, 1645, 1697, 31345, 279, 1760, 3207, 12, 97167, 344, 657, 1027, 441, 2213, 13, 100001, 2901, 3647, 245, 7854, 0, 487, 993, 7421, 34068, 3200, 13, 100001, 2901, 3233, 11, 642, 12789, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 35458, 12789, 0, 487, 1063, 284, 11743, 586, 12466, 13, 207, 2901, 3233, 12789, 1285, 13, 2071, 418, 56013, 257, 11, 53328, 257, 11, 2012, 279, 254, 31369, 13, 39499, 280, 2012, 11, 8284, 280, 36978, 2012, 13, 2366, 12789, 11, 487, 362, 9765, 28825, 13, 7421, 4133, 430, 857, 366, 85828, 13, 100001, 3139, 5079, 254, 4443, 1492, 280, 704, 8398, 366, 452, 3237, 377, 13, 12337, 254, 25851, 280, 6787, 778, 1234, 279, 32740, 19369, 11, 657, 2674, 331, 1310, 11, 11281, 2062, 11, 285, 362, 438, 5024, 430, 245, 4257, 327, 245, 1477, 13, 1955, 661, 1865, 276, 254, 1079, 19480, 280, 254, 20241, 20982, 1218, 11, 285, 359, 438, 4426, 13, 100001, 5490, 10408, 9405, 11, 96665, 11, 8435, 3415, 279, 1353, 11, 1893, 83782, 1131, 2938, 344, 452, 3237, 377, 1401, 13, 429, 267, 660, 10318, 691, 12969, 11, 7783, 881, 5505, 93704, 525, 379, 11, 3264, 588, 359, 10318, 691, 285, 691, 3915, 276, 1275, 254, 45744, 1322, 6171, 1066, 5144, 1027, 32525, 1673, 38034, 881, 307, 3955, 2237, 17511, 13, 429, 38372, 778, 2156, 11, 410, 6642, 5249, 280, 768, 744, 2647, 463, 1503, 245, 1143, 1184, 13, 100001, 63064, 359, 10318, 16369, 4426, 25, 254, 3207, 3964, 4759, 3438, 285, 6751, 276, 29620, 13, 2473, 11493, 7676, 7421, 47501, 586, 3545, 25, 362, 2215, 586, 1917, 438, 1872, 32533, 13, 1063, 1022, 3505, 634, 366, 254, 8089, 280, 586, 2116, 6011, 11, 245, 259, 18568, 280, 14211, 838, 255, 344, 37583, 2302, 26, 548, 3072, 7676, 3444, 1166, 25, 742, 837, 66456, 25288, 14463, 11, 742, 837, 83067, 31577, 64628, 9405, 2330, 38098, 35791, 26, 1285, 285, 745, 657, 25852, 837, 86888, 20214, 15194, 332, 1215, 457, 8628, 4054, 13, 1474, 8533, 280, 586, 20935, 8921, 245, 1734, 13, 100001, 3567, 1562, 7421, 1027, 8982, 359, 642, 4172, 13, 207, 2901, 2640, 487, 82, 521, 437, 11, 452, 3237, 377, 30, 487, 362, 993, 279, 245, 28174, 13, 207, 2901, 6723, 11493, 30, 1955, 487, 248, 521, 4078, 450, 1132, 13, 6475, 395, 33137, 30, 8886, 418, 657, 30, 487, 452, 3237, 377, 4133, 581, 13, 338, 4426, 2354, 438, 1323, 857, 11, 285, 362, 438, 64370, 331, 254, 3419, 11, 437, 1143, 285, 344, 11, 37324, 280, 254, 1143, 13, 207, 2901, 5661, 11, 657, 418, 521, 4078, 450, 11, 487, 362, 22112, 13, 207, 2901, 549, 25736, 88, 11493, 13, 31196, 878, 280, 90796, 11, 5348, 11, 5348, 13, 4946, 487, 83, 340, 35871, 768, 0, 4946, 487, 83, 1068, 0, 4946, 487, 83, 1181, 768, 0, 8880, 487, 82, 254, 5738, 30, 487, 7421, 4133, 1062, 285, 1503, 344, 21675, 2860, 661, 284, 21931, 1310, 13, 1063, 1027, 441, 1019, 857, 13, 1063, 2674, 742, 57068, 1062, 881, 254, 16342, 11, 441, 35010, 276, 2938, 2367, 11, 410, 276, 1282, 279, 691, 853, 245, 70308, 28174, 13, 41554, 362, 38950, 2481, 21675, 2860, 11, 779, 438, 8898, 4739, 279, 2215, 11, 2709, 430, 254, 14211, 11493, 13, 3848, 4054, 11704, 19813, 430, 586, 9226, 26, 2354, 285, 99182, 778, 59655, 473, 768, 13, 100001, 2901, 17095, 11, 2195, 13, 21675, 2860, 0, 487, 993, 7421, 13, 207, 2901, 7390, 487, 83, 1068, 430, 768, 0, 452, 3237, 377, 2970, 395, 55969, 487, 83, 13, 3960, 487, 82, 2240, 581, 366, 857, 285, 752, 636, 280, 437, 52040, 1810, 372, 3399, 372, 395, 481, 207, 891, 565, 395, 481, 0, 487, 207, 2901, 3315, 1329, 11, 487, 993, 21675, 2860, 11, 372, 565, 14108, 636, 280, 245, 6267, 13, 207, 2901, 40, 487, 76, 4321, 13, 100001, 7350, 331, 0, 487, 22575, 15586, 4312, 1310, 11, 7421, 90465, 11, 28160, 586, 4414, 279, 742, 1712, 4343, 410, 244, 1885, 871, 13, 1063, 7276, 285, 2373, 16917, 331, 586, 4054, 11, 588, 31649, 4399, 881, 36112, 269, 56512, 11, 558, 344, 586, 3059, 438, 4832, 3415, 276, 254, 5438, 280, 254, 4426, 12596, 13, 2071, 438, 245, 17203, 586, 82, 11, 245, 41148, 498, 19327, 2674, 581, 11, 254, 11493, 267, 811, 69133, 285, 43442, 285, 1971, 348, 1215, 13, 1494, 245, 2780, 254, 2354, 2877, 857, 4133, 837, 742, 4071, 11, 64011, 366, 28034, 88, 6696, 11, 10416, 3262, 247, 3988, 388, 2032, 13, 54, 5005, 272, 71, 844, 3788, 407, 25068, 247, 38, 3237, 377, 14032, 13, 207, 2901, 549, 20241, 20982, 1218, 11, 5348, 11, 5348, 25, 344, 317, 704, 1210, 11, 487, 362, 258, 502, 1215, 13, 207, 2901, 2054, 1023, 441, 1068, 279, 754, 254, 35791, 418, 11769, 13, 487, 207, 2901, 11604, 418, 657, 30, 2461, 418, 657, 30, 487, 3637, 7421, 54350, 272, 11, 9860, 276, 21675, 2860, 11, 779, 438, 1132, 4435, 857, 13, 100001, 2901, 40, 1113, 487, 83, 1006, 11, 487, 993, 21675, 2860, 279, 245, 6267, 4018, 5136, 13, 207, 2901, 2395, 304, 463, 2826, 768, 1653, 13, 685, 254, 31369, 754, 254, 35791, 778, 11769, 13, 1955, 9279, 279, 521, 254, 31369, 11, 14211, 12472, 11, 4399, 4399, 1090, 254, 4426, 2354, 13, 304, 3505, 768, 25, 28034, 12472, 285, 11626, 11, 285, 12573, 12472, 285, 9436, 13, 8410, 12472, 9326, 285, 4770, 11, 285, 46031, 279, 704, 11041, 5539, 13, 1474, 521, 34637, 11, 521, 6299, 1255, 11, 521, 5030, 13, 338, 7276, 2156, 317, 279, 768, 13, 487, 21675, 2860, 17508, 586, 3545, 279, 586, 4054, 13, 207, 2901, 40, 1006, 441, 779, 657, 418, 26, 548, 304, 2215, 304, 3505, 745, 10889, 285, 1473, 1606, 11, 285, 2489, 5508, 13869, 768, 13, 487, 207, 2901, 5661, 11, 5348, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 3315, 5030, 11, 521, 58490, 13, 1473, 1606, 285, 10889, 285, 2489, 5508, 13, 429, 20241, 20982, 1218, 13, 2071, 438, 245, 1228, 8680, 1234, 4084, 11, 5348, 11, 558, 657, 3542, 857, 754, 324, 1513, 21313, 361, 314, 438, 2823, 11, 754, 304, 438, 2823, 1323, 254, 27650, 1123, 2373, 13, 809, 438, 245, 1228, 8680, 13, 33337, 10889, 366, 1234, 44914, 11, 285, 12906, 1473, 1606, 11, 285, 2489, 5508, 257, 47976, 272, 13, 1955, 19556, 331, 254, 8800, 327, 2507, 285, 4223, 430, 254, 6350, 42166, 13, 1474, 254, 20982, 1218, 463, 11799, 1962, 937, 11, 49600, 581, 254, 53421, 26, 1958, 55073, 11, 55073, 13, 487, 207, 2901, 2395, 344, 317, 274, 4500, 285, 691, 4084, 11, 487, 993, 7421, 13, 207, 2901, 549, 20241, 481, 487, 83, 330, 1921, 745, 0, 2128, 359, 742, 21067, 674, 92119, 279, 254, 17514, 10245, 30, 487, 207, 2901, 11604, 7466, 30, 324, 1513, 21313, 361, 314, 2845, 487, 83, 1006, 11, 487, 7589, 452, 3237, 377, 13, 207, 2901, 2054, 2977, 5934, 768, 11, 340, 2977, 5402, 768, 13, 1003, 3657, 2561, 11, 5348, 11, 17353, 13, 304, 3657, 2561, 26, 548, 340, 2977, 5934, 768, 13, 9315, 18294, 276, 1019, 11, 5216, 11, 441, 276, 5402, 13, 2366, 17353, 0, 2428, 5030, 13, 487, 7421, 4133, 4426, 326, 430, 857, 285, 80078, 1310, 11, 5764, 344, 362, 35375, 2643, 324, 1513, 21313, 361, 314, 661, 3657, 276, 5402, 768, 13, 207, 2901, 6636, 11, 304, 1113, 487, 83, 1121, 276, 1019, 768, 11, 487, 362, 993, 13, 207, 2901, 17769, 1310, 0, 2755, 487, 83, 395, 752, 331, 285, 752, 2302, 30, 487, 207, 2901, 5661, 11, 5348, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 2395, 9405, 11, 1079, 9405, 13, 15429, 10654, 0, 2489, 38501, 11834, 614, 1224, 276, 6417, 254, 20241, 4866, 285, 2156, 1585, 35791, 13, 100001, 25807, 324, 1513, 21313, 361, 314, 0, 4946, 487, 83, 1068, 430, 11493, 0, 487, 1063, 68759, 2302, 276, 254, 1329, 11, 12489, 327, 245, 3088, 4078, 254, 12596, 13, 100001, 5490, 2373, 3415, 4435, 11, 96665, 11, 2752, 1244, 704, 4054, 1236, 372, 362, 1216, 13, 207, 2901, 21477, 17353, 1585, 452, 3237, 6613, 279, 245, 5451, 395, 2786, 330, 11, 565, 437, 5014, 331, 1266, 4172, 11, 487, 2215, 7421, 13, 100001, 3567, 1562, 657, 2373, 276, 254, 1225, 280, 254, 3438, 12596, 11, 285, 657, 17033, 359, 11, 32280, 4999, 11, 64370, 410, 49460, 473, 634, 68272, 9859, 244, 1885, 12, 269, 814, 276, 1913, 13, 28862, 657, 1278, 729, 1883, 11, 33945, 410, 13520, 4054, 12, 6102, 881, 14585, 372, 41148, 498, 372, 245, 43362, 10648, 11, 6309, 657, 778, 31481, 271, 285, 3941, 1215, 3308, 581, 276, 704, 69384, 285, 352, 1440, 279, 634, 1913, 487, 82, 70254, 13, 100001, 1385, 3988, 12407, 572, 1104, 447, 7334, 47981, 1227, 83, 383, 34742, 46082, 89097, 1322, 2632, 32102, 11, 285, 19327, 11, 285, 95307, 4887, 327, 18294, 279, 254, 4426, 11, 362, 4759, 276, 1006, 953, 1066, 362, 438, 1310, 11, 285, 276, 330, 2049, 280, 586, 4559, 8450, 13, 100001, 2901, 4388, 331, 395, 614, 0, 487, 362, 993, 13, 207, 2901, 35458, 38501, 11834, 0, 77268, 38501, 11834, 0, 15429, 1079, 25761, 11, 280, 2629, 26, 558, 395, 418, 11, 601, 17353, 11, 521, 280, 450, 13, 1474, 395, 1534, 1529, 5738, 2302, 473, 254, 22221, 11493, 11, 5348, 11, 5348, 11, 395, 1534, 13, 487, 2991, 1069, 3073, 362, 3805, 842, 1310, 11, 3308, 430, 245, 58222, 11, 1224, 856, 7676, 276, 330, 245, 1234, 23660, 1439, 1461, 81429, 11, 285, 657, 38950, 1166, 857, 372, 5397, 372, 657, 1027, 13, 1474, 279, 245, 1585, 1477, 362, 8583, 8963, 285, 47952, 271, 254, 3207, 5914, 3200, 11, 586, 4288, 372, 565, 362, 438, 27484, 410, 87414, 1310, 13, 100001, 2901, 2640, 317, 359, 30, 487, 65544, 7421, 11, 4727, 81850, 1255, 254, 11264, 13, 207, 2901, 2640, 487, 82, 254, 933, 276, 47952, 3025, 429, 352, 796, 6128, 87703, 525, 1224, 366, 601, 15728, 4586, 13, 100001, 2054, 352, 796, 11, 285, 5738, 352, 4059, 26, 254, 3000, 1810, 352, 4059, 13, 487, 207, 2901, 5661, 11, 5348, 11, 285, 7421, 352, 4059, 0, 487, 7589, 452, 3237, 377, 13, 207, 2901, 36859, 324, 1513, 21313, 361, 314, 44017, 359, 11, 548, 1207, 324, 1513, 21313, 361, 314, 23998, 359, 13, 92511, 5538, 5738, 13, 1474, 344, 487, 82, 642, 3502, 13, 429, 3207, 487, 82, 6546, 11, 2262, 317, 4321, 13, 324, 1513, 21313, 361, 314, 32260, 26, 362, 487, 82, 441, 4977, 13, 487, 1063, 2674, 331, 1310, 11, 548, 586, 72886, 10318, 11, 285, 1131, 1132, 285, 1310, 362, 6626, 581, 276, 586, 2201, 5484, 11, 1842, 10191, 586, 10225, 67089, 285, 69804, 13, 1494, 742, 766, 254, 38501, 11834, 1027, 441, 4704, 410, 2213, 856, 438, 66623, 857, 13, 2928, 8963, 521, 1853, 41639, 11, 19813, 4010, 285, 12734, 13, 2158, 21675, 2860, 285, 7421, 359, 4759, 344, 657, 4101, 11, 2367, 2302, 11, 245, 1234, 259, 20044, 5778, 11, 1461, 285, 10212, 285, 17426, 13, 1955, 90055, 13, 2803, 254, 1246, 2780, 254, 33733, 280, 254, 3207, 5322, 83506, 276, 768, 26, 285, 359, 10318, 1079, 6159, 13, 1733, 657, 6626, 81332, 704, 14501, 11, 657, 4101, 245, 6565, 837, 245, 5409, 4321, 279, 254, 5013, 13, 429, 83067, 11493, 6887, 506, 11, 4165, 2026, 11, 285, 2674, 636, 13, 100001, 38, 3237, 377, 744, 441, 2938, 13, 1063, 6626, 30030, 285 ]

[ 100000, 565, 838, 4366, 525, 254, 5518, 280, 15892, 1062, 1719, 276, 254, 1783, 641, 276, 245, 5538, 1585, 10453, 366, 207, 891, 366, 245, 2683, 280, 8324, 280, 601, 1377, 13, 487, 207, 2901, 4026, 487, 82, 14700, 11, 487, 993, 50762, 13, 207, 2901, 43038, 5096, 856, 304, 4749, 4367, 26, 889, 11, 889, 1136, 11, 304, 1113, 487, 83, 1378, 304, 487, 647, 1481, 688, 691, 11, 487, 362, 9765, 284, 13710, 13, 100001, 3315, 280, 768, 11, 359, 4759, 11, 661, 94645, 19133, 25, 1319, 661, 4749, 344, 362, 438, 7540, 245, 4858, 1439, 245, 13423, 2201, 280, 5663, 344, 2762, 8450, 11, 285, 1874, 344, 362, 11246, 8758, 25, 3662, 1323, 586, 2764, 359, 2762, 11, 285, 276, 752, 359, 362, 661, 889, 276, 1947, 12159, 473, 254, 4559, 285, 4283, 254, 49315, 285, 254, 4429, 2481, 9501, 60100, 276, 3072, 13, 100001, 2901, 2280, 359, 4759, 276, 525, 11, 1653, 11, 487, 993, 65771, 807, 11, 207, 2901, 2573, 601, 4858, 744, 4512, 6486, 285, 3185, 889, 276, 4367, 13, 487, 207, 2901, 1898, 525, 359, 4759, 33837, 8387, 11, 487, 993, 15364, 283, 348, 13, 207, 2901, 21529, 359, 438, 889, 245, 1727, 11, 285, 838, 2215, 276, 1274, 769, 8052, 327, 711, 1377, 1207, 5487, 26, 548, 3308, 304, 1023, 463, 993, 344, 838, 438, 46918, 450, 11, 285, 9139, 856, 838, 44421, 276, 463, 254, 1823, 276, 2102, 13, 809, 933, 441, 330, 993, 344, 304, 15354, 276, 9031, 13, 429, 10889, 280, 4302, 281, 41821, 349, 418, 1927, 276, 704, 1734, 13, 487, 1474, 856, 362, 2215, 344, 254, 10850, 661, 7540, 857, 15364, 283, 348, 1216, 441, 2410, 13, 100001, 2280, 372, 327, 21675, 2860, 11, 362, 744, 441, 3753, 11, 2451, 15364, 283, 348, 16790, 857, 366, 4313, 13, 207, 2901, 4622, 4586, 340, 1234, 279, 711, 24529, 11, 26500, 12, 94298, 11, 487, 362, 993, 13, 100001, 2901, 5661, 11, 487, 993, 21675, 2860, 26, 207, 2901, 2381, 6851, 2373, 881, 601, 2764, 937, 304, 543, 2240, 745, 13, 487, 207, 2901, 6636, 11, 463, 245, 2062, 0, 487, 993, 15364, 283, 348, 13, 207, 2901, 40, 536, 441, 2213, 1653, 2049, 280, 437, 1473, 85, 844, 10850, 285, 711, 9993, 13, 487, 207, 2901, 64505, 642, 11626, 280, 254, 10850, 7646, 308, 20856, 0, 487, 993, 52334, 1752, 66358, 13, 207, 2901, 2054, 1006, 441, 856, 340, 1481, 13, 2071, 317, 279, 711, 285, 279, 437, 3114, 642, 11626, 11, 6838, 245, 668, 3792, 359, 24293, 3177, 13, 2928, 1632, 857, 63049, 0, 1474, 19635, 304, 2786, 5476, 1673, 5663, 327, 254, 1022, 766, 1962, 304, 2116, 36554, 409, 488, 13, 1308, 975, 304, 5476, 4399, 11, 285, 7654, 327, 245, 1477, 601, 20110, 2081, 304, 608, 25761, 279, 3123, 285, 279, 2997, 13, 487, 1063, 4733, 3177, 1224, 2065, 586, 24270, 285, 7276, 430, 2561, 881, 245, 1234, 5476, 13, 100001, 549, 3072, 3444, 1216, 254, 1246, 11, 285, 642, 3066, 410, 6267, 31770, 704, 55545, 13, 2473, 657, 33734, 657, 1503, 344, 254, 2156, 280, 1492, 438, 5846, 2065, 254, 22661, 1323, 254, 70452, 11, 285, 254, 37962, 8728, 285, 7276, 52813, 279, 254, 4281, 13, 100001, 5490, 10471, 742, 2507, 279, 86777, 789, 21313, 19646, 11, 558, 2367, 372, 657, 1027, 2410, 410, 5175, 13, 2428, 254, 1477, 344, 657, 48066, 745, 254, 4281, 34597, 3662, 11, 4617, 327, 245, 8771, 9748, 344, 7276, 430, 2602, 11, 285, 5079, 2302, 7933, 521, 2012, 5583, 285, 3920, 13, 429, 3207, 438, 5559, 285, 2838, 11, 372, 565, 359, 778, 3923, 8079, 11, 2618, 657, 4749, 786, 768, 254, 4399, 285, 31580, 7257, 280, 5490, 661, 441, 2826, 254, 5157, 285, 10850, 1310, 11, 285, 657, 661, 1585, 8689, 366, 254, 1473, 1722, 12, 33468, 26, 327, 1860, 280, 1069, 4437, 410, 744, 938, 254, 5653, 2114, 16777, 13, 19002, 5644, 661, 270, 5369, 768, 38152, 285, 5418, 1062, 1310, 276, 254, 56302, 280, 254, 5226, 11, 1066, 1228, 4348, 438, 1132, 5982, 1962, 254, 58285, 280, 364, 6045, 344, 254, 7947, 661, 4832, 13, 8427, 23280, 438, 2302, 1266, 3264, 254, 7646, 53813, 4383, 11, 285, 1166, 254, 1022, 2653, 362, 1216, 441, 5476, 366, 254, 750, 20935, 11, 2451, 362, 5651, 276, 6540, 285, 3075, 366, 768, 13, 28862, 362, 3061, 65771, 807, 366, 857, 754, 362, 2674, 17970, 279, 254, 3114, 11, 285, 254, 3072, 21517, 430, 437, 2262, 13, 100001, 4388, 372, 254, 20935, 2659, 410, 10408, 2854, 657, 8921, 280, 39369, 2520, 11, 285, 521, 344, 1319, 661, 3185, 285, 2826, 280, 857, 2373, 3662, 1323, 704, 15769, 13, 1733, 657, 778, 55422, 280, 12392, 285, 77774, 280, 3123, 254, 20110, 280, 704, 4257, 10318, 691, 17164, 13, 28862, 657, 4101, 14491, 1473, 85, 844, 18887, 17003, 11, 285, 4437, 344, 657, 778, 2883, 11688, 280, 66572, 12, 990, 335, 327, 586, 3467, 11, 327, 657, 9317, 586, 1210, 3264, 254, 6584, 9436, 3073, 344, 657, 1027, 441, 2579, 13, 100001, 44, 349, 21192, 348, 11, 364, 349, 21192, 348, 19544, 254, 1473, 1606, 11, 508, 89568, 25260, 0, 1494, 558, 657, 7130, 276, 1282, 857, 13, 1474, 565, 8427, 23280, 438, 366, 254, 7947, 11, 362, 744, 441, 6778, 254, 11688, 327, 768, 11, 5366, 344, 362, 661, 441, 254, 11228, 11, 285, 344, 327, 857, 254, 20110, 438, 1592, 1653, 3345, 11, 245, 3502, 327, 12867, 285, 441, 2618, 327, 5654, 13, 100001, 1385, 438, 21675, 2860, 779, 1022, 1957, 1874, 280, 586, 19506, 881, 86748, 3073, 13, 1063, 438, 24496, 6937, 276, 1099, 5654, 410, 55893, 26, 1236, 279, 433, 5338, 12, 42014, 362, 661, 19240, 285, 661, 441, 39333, 3177, 11, 2451, 586, 4887, 438, 9414, 366, 1313, 2012, 344, 3072, 661, 1401, 1323, 857, 13, 1474, 1132, 372, 362, 2659, 13869, 254, 37962, 279, 7980, 21313, 4397, 255, 285, 4101, 786, 857, 254, 18887, 280, 254, 1473, 1606, 11, 586, 2215, 3061, 6775, 279, 245, 5654, 344, 4759, 4770, 276, 857, 26, 2618, 754, 362, 3657, 276, 12926, 359, 276, 7421, 889, 4505, 66511, 10471, 11, 37583, 372, 245, 24963, 280, 76323, 8242, 13, 100001, 3287, 6787, 279, 254, 1783, 641, 438, 14518, 586, 41158, 331, 254, 10509, 778, 4101, 26, 1323, 254, 23608, 362, 2674, 2302, 331, 8398, 1234, 1673, 245, 1734, 13, 100001, 4044, 88820, 1569, 276, 12732, 14450, 11, 473, 18073, 9974, 276, 18034, 12967, 11, 1184, 31918, 12, 75, 1226, 285, 8628, 4167, 285, 4426, 2237, 16763, 362, 10408, 430, 543, 13, 100001, 3220, 96435, 285, 30438, 3390, 11, 1473, 1606, 285, 10889, 11, 366, 28578, 285, 38796, 22503, 11, 32, 27661, 16356, 11, 245, 19104, 1297, 11, 245, 1062, 344, 18261, 14172, 895, 3313, 26, 245, 52913, 12, 31095, 11, 245, 15200, 6243, 11, 245, 25761, 37230, 309, 331, 254, 4559, 13, 100001, 32, 15332, 280, 16533, 288, 2114, 271, 362, 2659, 11, 18847, 279, 18519, 11, 3399, 276, 7761, 26, 274, 1712, 668, 279, 245, 72870, 10076, 779, 32766, 2065, 245, 63274, 88, 5724, 13, 100001, 2450, 6626, 2065, 254, 10175, 5254, 285, 11365, 285, 37134, 1572, 97974, 26, 586, 5724, 438, 7488, 331, 254, 8665, 11, 279, 17834, 1758, 308, 12, 678, 133, 215, 273, 586, 16533, 7648, 13, 100001, 2901, 6568, 11, 340, 487, 647, 330, 24654, 2195, 13, 33388, 957, 2112, 0, 487, 993, 7421, 13, 100001, 2901, 3233, 11, 304, 608, 10297, 441, 11, 487, 993, 21675, 2860, 13, 207, 2901, 2395, 344, 317, 254, 1608, 304, 481, 536, 2618, 13, 487, 207, 2901, 6636, 11, 2195, 13, 21675, 2860, 11, 565, 340, 536, 463, 1913, 614, 11, 304, 3655, 340, 487, 647, 1481, 245, 1734, 786, 586, 54307, 11, 487, 993, 7421, 13, 207, 2901, 29534, 837, 437, 25, 429, 12897, 81985, 2647, 2826, 25, 657, 13326, 279, 7524, 280, 5501, 285, 5575, 11, 410, 1166, 22001, 14544, 37617, 2373, 13520, 837, 245, 9748, 280, 10252, 13, 100001, 23077, 344, 2845, 487, 83, 536, 768, 12079, 457, 245, 1234, 4559, 13, 487, 207, 2901, 3233, 11, 304, 487, 647, 4283, 344, 276, 340, 11, 7421, 13, 2489, 5216, 276, 33388, 957, 13, 1474, 207, 891, 1136, 11, 304, 481, 487, 83, 3075, 280, 359, 688, 691, 13, 304, 481, 487, 83, 8982, 276, 1378, 280, 11973, 254, 4921, 276, 857, 13, 487, 3474, 6787, 21675, 2860, 285, 7421, 778, 10147, 2854, 279, 254, 5559, 45660, 13, 9848, 280, 768, 4749, 42673, 1310, 13, 2426, 21675, 2860, 8963, 254, 13423, 280, 44749, 661, 14844, 25, 362, 4437, 13505, 344, 254, 766, 438, 1079, 3345, 754, 362, 1534, 4283, 86777, 789, 21313, 19646, 13, 100001, 2901, 2640, 536, 340, 1378, 280, 1473, 1606, 1132, 11, 7421, 30, 487, 362, 993, 13, 207, 2901, 40, 3637, 340, 254, 1246, 2512, 2561, 1323, 207, 891, 359, 3354, 245, 1079, 1234, 1477, 4084, 26, 548, 340, 463, 2826, 691, 280, 768, 1962, 937, 13, 487, 207, 2901, 40, 463, 6031, 0, 487, 993, 7421, 13, 207, 2901, 2280, 304, 35442, 745, 487, 82, 1473, 1606, 285, 1473, 1606, 13, 100001, 5490, 487, 248, 521, 1473, 85, 844, 2527, 11, 548, 657, 487, 248, 441, 521, 254, 1246, 13, 4201, 1069, 22503, 8221, 487, 83, 18012, 39523, 410, 32169, 11, 285, 1751, 245, 2683, 23479, 276, 254, 14823, 280, 450, 25, 657, 1751, 276, 6893, 1285, 11, 691, 1236, 853, 30438, 11834, 536, 279, 254, 22776, 3354, 276, 330, 1872, 331, 11, 285, 16304, 3354, 276, 1121, 359, 276, 13, 1273, 745, 487, 82, 688, 13912, 786, 11, 359, 487, 82, 1329, 1224, 4399, 11, 1066, 304, 481, 487, 83, 2762, 601, 4054, 331, 359, 11, 279, 245, 6166, 280, 9034, 13, 487, 207, 2901, 2054, 481, 1019, 285, 2213, 359, 13495, 11, 487, 993, 21675, 2860, 13, 100001, 2901, 6636, 11, 487, 993, 7421, 11, 207, 2901, 4215, 481, 487, 83, 1019, 16304, 2695, 359, 13, 2366, 54307, 837, 4922, 1712, 39369, 2520, 1222, 276, 1296, 13, 304, 3860, 395, 1113, 487, 83, 1019, 3011, 280, 254, 5157, 285, 10850, 279, 521, 1069, 2507, 13, 304, 14652, 1132, 344, 838, 1027, 536, 742, 7289, 2012, 11, 565, 838, 661, 245, 2764, 13, 304, 487, 67, 54755, 2126, 276, 1019, 742, 86933, 12, 43028, 11, 2195, 13, 21675, 2860, 0, 487, 207, 2901, 40, 7358, 487, 83, 11, 487, 993, 21675, 2860, 13, 207, 2901, 40, 608, 3093, 13, 1308, 304, 1113, 487, 83, 3610, 39369, 2520, 207, 487, 82, 54307, 11, 548, 586, 1617, 9426, 51802, 11, 285, 586, 3399, 4207, 11, 285, 586, 5136, 13, 487, 207, 2901, 2054, 487, 248, 1329, 11, 487, 993, 7421, 13, 207, 2901, 2280, 1113, 487, 83, 1378, 304, 487, 76, 7526, 10439, 13, 304, 487, 313, 2752, 4579, 276, 1019, 245, 2683, 280, 13912, 837, 856, 359, 10496, 280, 279, 1712, 29915, 11, 548, 304, 487, 313, 1866, 4101, 280, 245, 2018, 3114, 853, 437, 13, 809, 487, 82, 837, 1435, 430, 1719, 285, 331, 245, 11263, 430, 254, 1246, 766, 11, 565, 340, 2579, 525, 13, 304, 1113, 487, 83, 1121, 276, 4283, 13, 2428, 254, 1246, 11, 304, 487, 76, 6278, 276, 2213, 344, 565, 395, 487, 313, 2149, 276, 614, 331, 11, 937, 395, 487, 67, 1608, 752, 359, 855, 13, 100001, 2901, 1385, 487, 82, 254, 3112, 344, 487, 82, 1866, 3805, 372, 4497, 27719, 276, 8315, 11, 372, 601, 1712, 307, 67470, 1222, 276, 1481, 13, 1308, 304, 1113, 487, 83, 35442, 344, 1069, 22503, 481, 536, 1266, 691, 276, 1345, 450, 11, 13912, 410, 642, 13, 809, 487, 82, 754, 395, 4283, 437, 3114, 344, 395, 2786, 3610, 39369, 2520, 9507, 11, 304, 487, 76, 5764, 13, 487, 207, 2901, 40, 608, 10297, 344, 487, 82, 889, 1653, 1927, 11, 7421, 11, 487, 993, 21675, 2860, 13, 207, 2901, 23014, 304, 3655, 1079, 1266, 344, 1323, 395, 4283, 395, 2786, 1019, 254, 10850, 280, 254, 1473, 1606, 1310, 13, 487, 6809, 372, 362, 8921, 11, 657, 3505, 11, 372, 565, 838, 2373, 279, 3510, 276, 704, 3073, 11, 254, 10850, 7646, 308, 20856, 21054, 13, 33337, 285, 3682, 285, 4770, 838, 10408, 14172, 254, 7636, 13, 2130, 8921, 642, 1734, 11, 548, 54215, 19127, 276, 768, 13, 100001, 74047, 12159, 11, 838, 5426, 768, 5135, 254, 18034, 45021, 280, 254, 12967, 280, 2872, 281, 7646, 308, 18498, 11, 285, 9989, 1184, 245, 1461 ]

[ 100000, 715, 280, 1473, 81, 1089, 487, 82, 15507, 11, 280, 4989, 427, 1546, 256, 438, 254, 8037, 26, 285, 366, 857, 438, 452, 5876, 256, 11, 274, 86933, 473, 254, 25260, 32711, 660, 779, 661, 1865, 331, 274, 58205, 473, 339, 21313, 18700, 6132, 261, 254, 36008, 43012, 13, 2071, 438, 839, 245, 8387, 86933, 47286, 279, 5575, 285, 10176, 11, 8427, 23280, 11, 245, 35332, 473, 586, 4209, 11, 677, 21192, 59873, 11, 254, 5047, 280, 254, 1473, 1606, 280, 17506, 12160, 74, 5694, 13, 1308, 21928, 245, 1585, 8146, 438, 245, 8670, 668, 366, 245, 4770, 285, 12573, 3059, 11, 4426, 12, 48769, 285, 14518, 12, 32078, 11, 9326, 285, 22757, 280, 16455, 13, 100001, 2450, 438, 25985, 8910, 285, 35532, 372, 565, 327, 245, 8398, 331, 51993, 26, 285, 6031, 2451, 586, 35592, 778, 7353, 11, 285, 586, 38271, 438, 29052, 366, 14181, 11, 657, 778, 41658, 366, 1234, 4886, 13, 1063, 661, 245, 27851, 280, 11041, 279, 588, 245, 2816, 3682, 8665, 438, 845, 26, 586, 19928, 778, 467, 1752, 786, 586, 17459, 13, 2426, 245, 51676, 1476, 362, 18403, 245, 1228, 27250, 71738, 366, 11041, 344, 1132, 438, 9835, 2065, 586, 20661, 13, 1063, 32182, 430, 21675, 2860, 285, 33388, 957, 366, 6363, 3860, 13, 100001, 2901, 4898, 11, 487, 993, 1473, 81, 1089, 11, 9860, 276, 39369, 2520, 11, 207, 2901, 262, 15364, 283, 348, 11, 245, 668, 473, 254, 5178, 13, 1063, 9560, 279, 254, 14518, 4421, 11, 285, 26448, 327, 15521, 13, 304, 463, 270, 5369, 857, 276, 330, 1828, 11, 327, 1285, 586, 4313, 543, 330, 7589, 13, 487, 3688, 521, 344, 438, 13451, 285, 68144, 279, 254, 9288, 933, 1132, 330, 3542, 13, 21992, 438, 993, 280, 4378, 279, 254, 1843, 4881, 11, 4398, 279, 254, 5178, 11, 285, 279, 254, 5505, 19369, 12450, 280, 254, 34188, 13, 4947, 1069, 2012, 21675, 2860, 661, 2571, 4101, 1313, 78560, 26, 548, 254, 19025, 280, 452, 789, 21313, 279, 438, 761, 276, 857, 11, 285, 754, 254, 33466, 8921, 362, 19240, 83782, 13, 809, 7676, 344, 18872, 254, 69472, 280, 704, 2722, 280, 1297, 254, 14495, 280, 254, 414, 9738, 1606, 280, 254, 55673, 733, 17165, 778, 27484, 13, 100001, 2901, 1385, 317, 1132, 1313, 1555, 4084, 11, 487, 993, 452, 789, 21313, 246, 11, 207, 2901, 2573, 245, 13423, 280, 696, 26114, 7276, 2065, 769, 1245, 13, 2473, 347, 359, 2373, 395, 1216, 441, 430, 1022, 28725, 13, 100001, 36819, 4732, 276, 330, 22112, 279, 6486, 25, 359, 438, 993, 344, 395, 778, 22366, 2026, 279, 245, 9745, 1810, 11, 285, 344, 6146, 11171, 285, 69472, 744, 330, 1503, 279, 245, 19738, 1843, 13, 4754, 8921, 280, 364, 6045, 25, 254, 18995, 2722, 280, 769, 29436, 344, 418, 2424, 279, 769, 1377, 16777, 17834, 1758, 308, 12, 678, 133, 215, 76, 26, 285, 657, 12487, 344, 1132, 430, 1562, 395, 661, 254, 1823, 285, 5750, 276, 972, 13, 487, 452, 789, 21313, 279, 34456, 13, 207, 2901, 44, 6045, 0, 364, 6045, 0, 27806, 280, 254, 17506, 1843, 0, 26322, 4399, 395, 582, 1781, 745, 11, 285, 33734, 254, 96735, 5663, 13, 9055, 463, 895, 10999, 20609, 562, 72876, 7137, 1962, 254, 3022, 280, 20801, 246, 24517, 13, 1474, 1132, 395, 8921, 280, 359, 1310, 366, 38722, 11, 285, 2618, 366, 14489, 26, 327, 642, 33466, 643, 58641, 6472, 11, 285, 13701, 276, 614, 26, 285, 2451, 19763, 21313, 246, 1216, 441, 2102, 4283, 45088, 11, 362, 3061, 366, 857, 19574, 285, 508, 21313, 246, 285, 1313, 280, 769, 22503, 11, 285, 657, 2674, 2302, 8868, 13, 100001, 2901, 4026, 438, 50959, 331, 13888, 1555, 4084, 13, 1494, 245, 1477, 395, 661, 4921, 285, 359, 4759, 1207, 25, 9176, 6701, 344, 364, 6045, 661, 803, 8400, 285, 245, 1228, 830, 17070, 745, 13, 2928, 745, 438, 12114, 11, 285, 642, 1734, 643, 2647, 1865, 473, 364, 6045, 1962, 13, 100001, 2901, 4631, 786, 245, 1012, 4084, 245, 35332, 2373, 276, 19763, 21313, 246, 11, 548, 441, 473, 364, 6045, 207, 891, 473, 364, 694, 256, 25, 245, 7569, 1414, 279, 254, 2653, 11, 779, 2424, 19763, 21313, 246, 276, 586, 8364, 13, 429, 5157, 9501, 60100, 254, 6982, 11, 558, 362, 993, 11, 15699, 327, 769, 19422, 13, 61617, 362, 744, 2102, 327, 359, 11, 1108, 372, 362, 4366, 280, 1712, 13, 1308, 362, 3637, 83399, 13159, 38501, 11834, 11, 280, 856, 2447, 657, 778, 11, 285, 1066, 657, 48066, 13, 207, 2901, 2901, 1988, 9501, 60100, 7466, 11, 56988, 993, 362, 11, 207, 2901, 2901, 2573, 634, 280, 1069, 438, 3185, 276, 340, 331, 245, 766, 13, 56988, 207, 2901, 3567, 437, 395, 778, 11246, 27484, 11, 285, 395, 4366, 642, 3510, 13, 1308, 937, 586, 7276, 5136, 438, 31679, 11, 285, 362, 744, 463, 6584, 2954, 359, 565, 362, 1027, 13, 207, 2901, 2901, 2124, 245, 1760, 10728, 889, 280, 520, 19422, 9501, 60100, 17240, 437, 11, 56988, 362, 993, 25, 207, 2901, 2901, 2573, 340, 1023, 1275, 437, 39925, 11, 56988, 1108, 438, 586, 1734, 11, 207, 2901, 2901, 384, 752, 473, 857, 11, 9807, 410, 642, 11, 245, 1585, 7987, 11, 254, 2754, 280, 19352, 11, 344, 2561, 362, 32619, 13, 809, 317, 548, 245, 50111, 344, 9501, 60100, 66349, 11, 285, 274, 18727, 280, 520, 1207, 543, 13, 11424, 359, 11, 285, 1853, 19352, 344, 254, 96435, 12, 82, 3457, 21893, 280, 1712, 2786, 330, 5651, 276, 340, 11, 285, 254, 26210, 280, 364, 6045, 2786, 330, 12726, 327, 2647, 13, 11424, 889, 4921, 280, 254, 39925, 11, 3203, 362, 1592, 6110, 285, 1066, 11, 285, 340, 2786, 463, 1228, 11513, 285, 24251, 19422, 473, 254, 5157, 13, 100001, 2232, 2355, 11, 285, 2012, 543, 441, 1751, 558, 1136, 13, 3132, 340, 20770, 30, 56988, 207, 2901, 3567, 344, 586, 9004, 2373, 837, 254, 586, 82, 280, 56013, 11, 285, 521, 779, 6626, 457, 80078, 11, 548, 19763, 21313, 246, 993, 25, 207, 2901, 2901, 40, 1481, 8533, 65042, 5068, 45781, 13, 304, 1534, 2225, 437, 3965, 285, 856, 359, 2456, 1090, 895, 4770, 38271, 13, 56988, 207, 2901, 207, 2901, 2901, 16237, 1136, 11, 548, 441, 1653, 1234, 11, 56988, 993, 362, 13, 100001, 2901, 207, 2901, 2901, 549, 766, 280, 601, 2215, 317, 601, 1377, 276, 7594, 11, 56988, 7589, 19763, 21313, 246, 13, 100001, 2901, 207, 2901, 2901, 1988, 254, 1828, 11, 56988, 993, 362, 11, 285, 19354, 881, 254, 16342, 13, 100001, 2901, 79747, 463, 254, 14495, 280, 769, 90992, 2208, 803, 1962, 344, 2653, 13, 1003, 4067, 441, 254, 7276, 5136, 280, 254, 35332, 276, 11916, 450, 344, 586, 3073, 4586, 1572, 76005, 285, 61706, 26, 327, 395, 4437, 2571, 344, 254, 1823, 344, 643, 298, 12, 44322, 364, 694, 256, 643, 441, 5464, 11, 285, 2647, 359, 42352, 450, 280, 1712, 13, 82597, 254, 35332, 643, 5651, 11, 285, 643, 5418, 83593, 13, 100001, 549, 4443, 285, 1562, 766, 11, 558, 362, 2970, 11, 317, 3444, 276, 1865, 11, 1323, 254, 15592, 280, 254, 1012, 13, 100001, 2901, 2280, 558, 304, 463, 803, 2143, 430, 1562, 457, 19763, 21313, 246, 276, 11916, 33388, 957, 344, 362, 317, 14144, 457, 254, 75425, 11, 285, 276, 3071, 11, 565, 975, 330, 11, 2643, 362, 25372, 437, 7987, 11, 437, 2754, 280, 19352, 13, 6070, 395, 68725, 254, 7402, 280, 1473, 81, 1089, 13, 1494, 254, 37134, 19112, 285, 24259, 23479, 13, 1003, 9172, 344, 73136, 463, 7690, 642, 3510, 11, 254, 75425, 975, 2938, 10889, 280, 586, 6290, 276, 65578, 5047, 19437, 11, 285, 19763, 21313, 246, 839, 13, 487, 207, 2901, 2054, 463, 2368, 1136, 276, 1865, 11, 487, 993, 1473, 81, 1089, 13, 207, 2901, 2054, 543, 4704, 3571, 521, 344, 340, 933, 279, 1835, 276, 2579, 254, 9993, 280, 254, 75425, 13, 100001, 2960, 317, 66003, 344, 340, 481, 536, 11, 750, 853, 276, 3890, 11, 366, 3655, 410, 1673, 359, 13, 1474, 340, 536, 441, 2039, 5254, 13, 1257, 543, 3071, 344, 520, 8168, 317, 548, 697, 280, 254, 8168, 280, 521, 254, 17868, 1843, 13, 429, 26500, 0, 2461, 2786, 395, 536, 366, 254, 26500, 11, 254, 2754, 280, 19352, 11, 254, 50111, 344, 9501, 60100, 66349, 30, 2608, 317, 254, 48237, 344, 395, 1534, 52380, 13, 100001, 2901, 4026, 317, 254, 5487, 327, 588, 340, 418, 2424, 24293, 13, 41239, 11, 304, 1481, 11, 2451, 304, 463, 441, 2424, 340, 276, 525, 11, 28163, 473, 16066, 19369, 13, 100001, 2054, 463, 1865, 285, 418, 1285, 2011, 11, 279, 437, 1079, 25124, 280, 766, 11, 457, 5518, 372, 359, 975, 1751, 13, 11169, 359, 317, 441, 558, 13, 53244, 3272, 344, 359, 317, 558, 10133, 344, 395, 11, 779, 2097, 1285, 11, 285, 5249, 3072, 11, 1534, 1132, 1275, 15521, 327, 254, 32280, 280, 254, 1843, 13, 100001, 2901, 4388, 11, 4573, 11, 2012, 2786, 330, 32346, 13451, 344, 463, 803, 8628, 473, 521, 548, 245, 1860, 2645, 437, 1492, 13, 1308, 1022, 11, 558, 344, 521, 975, 2579, 856, 317, 254, 32280, 11, 254, 53158, 280, 254, 26500, 2786, 330, 3542, 473, 254, 6278, 1236, 276, 437, 1828, 13, 1308, 304, 543, 3488, 344, 19025, 11, 2451, 3072, 2786, 1225, 359, 13, 487, 2928, 521, 19240, 1477, 1473, 81, 1089, 279, 586, 3662, 5136, 8921, 280, 9501, 60100, 285, 254, 61617, 280, 8604, 11, 285, 704, 327, 4163, 279, 254, 11392, 20169, 280, 254, 1843, 1234, 4084, 13, 338, 697, 280, 586, 19025, 438, 3185, 276, 742, 745, 11, 548, 254, 2201, 19025, 276, 5249, 11, 285, 1313, 3545, 778, 4540, 276, 1473, 81, 1089, 279, 5663, 285, 3860, 372, 362, 3542, 280, 254, 1473, 1722, 12, 30167, 82, 280, 427, 15392, 285, 704, 19422, 366, 364, 6045, 11, 285, 704, 55327, 327, 4530, 11, 457, 588, 9501, 60100, 3785, 77, 1674, 768, 13, 1494, 279, 344, 766, 362, 438, 441, 2618, 11626, 276, 26641, 11, 285, 657, 4503, 586, 10731, 285, 10318, 18995, 279, 9896, 11, 12130, 362, 7213, 521, 704, 24980, 11, 285, 42352, 768, 11, 285, 59739, 39841, 279, 254, 364, 4191, 12, 244, 444, 280, 11365, 254, 3474, 26500, 276, 330, 704, 5738, 13, 1474, 33181, 309, 4439, 438, 6737, 280, 857, 11, 285, 17508, 254, 14863, 588, 362, 661, 1401, 26, 285, 745, 438, 4429, 11, 285, 254, 3114, 438, 9835, 9974, 11, 285, 254, 8364, 280, 364, 6045, 438, 7574, 13, 100001, 4631, 1184, 521, 254, 1555, 344, 5496, 362, 36411, 254, 26500, 26, 548, 1962, 344, 4345, 317, 16302, 51711, 271, 11, 1236, 372, 1473, 81, 1089, 3177, 845, 359, 1224, 279, 586, 5515, 280, 63618, 11, 359, 317, 441, 1285, 31530, 13, 1494, 359, 317, 245, 1234, 19025, 11, 2201, 280, 31977, 1228, 285, 12906, 11, 285, 20358, 2451, 1473, 81, 1089, 8921, 11, 254, 4281, 19354, 581, 254, 9539, 11, 285, 254, 4421, 438, 9989, 31076, 362, 23832, 13, 100001, 4112, 36644, 21313, 3741, 256, 362, 8921, 11, 895, 16431, 285, 895, 3467, 11, 285, 254, 972, 280, 254, 23555, 280, 10889, 276, 14901, 12, 25914, 636, 280, 254, 315, 2057, 280, 254, 15441, 11, 28782, 2065, 254, 19814, 280, 10955, 13, 2928, 1473, 409, 296, 254, 33337, 285, 586, 18995, 16512, 11, 2128, 858, 332, 285, 34507, 21313, 81, 277, 11, 5322, 1228, 41785, 26, 285, 254, 5226, 12, 58669, 657, 7267, 29610, 280, 1473, 1606, 285, 10889, 11, 285, 254, 18813, 280, 17308, 12, 17092, 308, 285, 1473, 409, 296, 778, 91183, 279, 1576, 18382, 13, 100001, 2960, 12758, 1473, 81, 1089, 24882, 245, 1477, 285, 34456, 13, 207, 2901, 40, 5175, 1136, 254, 69472, 280, 704, 54707, 11, 487, 362, 993, 13, 207, 2901, 1385, 31530, 276, 525, 254, 16431, 280, 254, 45316, 25452, 285, 254, 18813, 280, 7036, 25084, 384, 11, 558, 1313, 1228, 26124, 285, 59728, 778, 25220, 13, 1308, 2618, 441, 558, 1313, 11, 5068, 558, 4770, 11, 372, 754, 677, 673, 256, 355, 4383, 438, 7488, 11, 285, 254, 1473, 1606, 24712, 344, 11626, 438, 9765, 327, 2647, 11, 285, 359, 438, 441, 558, 13, 487, 207, 2901, 2054, 5175, 30, 487, 993, 21675, 2860, 11, 9034, 586, 2215, 30294, 279, 586, 37156, 13, 207, 2901, 2395, 304, 2215, 11, 487, 362, 76159, 372, 1473, 81, 1089, 4540, 5135, 857, 11, 207, 2901, 40, 2215, 344, 254, 3467, 280, 17308, 12, 17092, 308, 438, 245, 1234, 4500 ]

[ 100000, 778, 5030, 0, 487, 362, 7899, 13, 100001, 2901, 3647, 2618, 0, 487, 993, 39369, 2520, 13, 207, 2901, 2395, 745, 317, 642, 766, 327, 3860, 13, 4953, 340, 614, 11, 521, 280, 340, 11, 1224, 254, 20706, 0, 22944, 245, 1860, 4063, 327, 525, 430, 254, 5736, 11, 548, 565, 304, 536, 441, 1865, 3444, 11, 614, 331, 0, 3659, 5397, 285, 4352, 12888, 5881, 1329, 285, 63016, 13, 487, 207, 2901, 1380, 2977, 4283, 340, 276, 2785, 254, 4167, 5254, 0, 487, 993, 52334, 1752, 13, 100001, 2901, 4453, 372, 304, 1481, 0, 487, 993, 39369, 2520, 49799, 13, 207, 2901, 50, 10422, 418, 642, 691, 938, 1285, 13, 100001, 7350, 0, 487, 429, 13108, 438, 11769, 457, 642, 26886, 285, 438, 23972, 4426, 13, 1955, 75400, 271, 704, 1143, 1224, 245, 1234, 11468, 280, 5610, 11, 285, 937, 4133, 1062, 26, 548, 657, 1027, 1019, 3011, 11, 5085, 1461, 2330, 768, 254, 17203, 70673, 280, 254, 43424, 487, 82, 5724, 13, 1063, 4759, 276, 330, 1592, 8898, 331, 6839, 457, 254, 6079, 4167, 13, 21675, 2860, 47460, 16917, 285, 32766, 2481, 7421, 11, 779, 1957, 586, 7921, 786, 857, 13, 1955, 6626, 74005, 581, 254, 20706, 881, 254, 16342, 13, 100001, 53556, 2860, 2215, 362, 1027, 4704, 254, 5136, 280, 39369, 2520, 2330, 11, 93956, 3073, 344, 7279, 1224, 254, 74676, 9911, 366, 245, 96766, 6393, 13, 1063, 1027, 441, 5770, 856, 438, 993, 13, 429, 9906, 4759, 276, 330, 31345, 13, 6576, 1132, 285, 1310, 254, 22248, 12, 89441, 95728, 3873, 285, 19178, 25, 48237, 11, 48237, 13, 100001, 51297, 430, 254, 1869, 280, 254, 24221, 745, 438, 245, 39071, 280, 3682, 2156, 13, 100001, 4631, 745, 438, 245, 20224, 16183, 966, 285, 245, 6751, 288, 484, 13, 429, 22248, 12, 89441, 11564, 636, 40402, 25, 48237, 12, 92444, 11, 48237, 12, 92444, 11, 285, 937, 8583, 13, 39369, 2520, 2373, 15892, 1224, 254, 5610, 285, 7276, 276, 254, 3419, 279, 254, 19480, 280, 254, 7947, 13, 100001, 2901, 6636, 11, 1136, 0, 2608, 487, 82, 855, 0, 487, 993, 254, 43424, 18701, 276, 586, 5144, 13, 207, 2901, 40, 463, 2368, 521, 344, 304, 1027, 13, 1474, 304, 463, 2011, 601, 4174, 11, 285, 463, 6128, 803, 16298, 13, 1474, 1113, 487, 83, 2039, 1285, 0, 3659, 331, 0, 1257, 543, 463, 276, 536, 1673, 2156, 327, 245, 1477, 25, 304, 608, 3272, 44876, 13, 3659, 331, 0, 3659, 331, 0, 8880, 418, 340, 11, 65771, 807, 30, 15512, 8450, 366, 525, 0, 14715, 3415, 4435, 11, 521, 280, 340, 0, 487, 1955, 38950, 1166, 857, 11978, 856, 661, 6628, 13, 78521, 11, 48237, 2674, 254, 22248, 12, 89441, 1310, 25, 657, 1132, 26460, 88079, 285, 2367, 2302, 11, 548, 657, 778, 1893, 13, 2071, 438, 642, 750, 3066, 280, 25595, 11, 8533, 45989, 280, 5144, 11, 5068, 688, 5136, 13, 39369, 2520, 3061, 642, 9236, 11, 1329, 410, 2116, 11, 327, 254, 13108, 4759, 276, 330, 1872, 279, 254, 5489, 344, 362, 8758, 13, 6576, 1132, 285, 1310, 359, 32215, 245, 11468, 280, 5610, 11, 15092, 410, 691, 11, 276, 245, 3927, 2258, 13, 2803, 254, 2780, 344, 438, 704, 8037, 7082, 26, 327, 279, 254, 4426, 657, 1027, 441, 1019, 245, 24683, 11, 2645, 657, 2373, 331, 359, 3567, 254, 1225, 280, 274, 5064, 657, 661, 5418, 245, 13925, 11, 410, 6642, 245, 1585, 691, 11, 285, 661, 32215, 1313, 23266, 280, 20706, 13, 2071, 438, 1592, 642, 3066, 280, 25595, 13, 33780, 657, 4732, 276, 3655, 344, 657, 744, 10778, 13, 100001, 3567, 254, 5736, 280, 254, 30838, 11468, 39369, 2520, 41639, 13, 100001, 2901, 1385, 317, 3442, 3550, 0, 487, 362, 50399, 13, 207, 2901, 1380, 9090, 276, 330, 1224, 430, 2754, 276, 254, 2258, 280, 254, 42166, 1132, 13, 30876, 304, 1378, 395, 1023, 1068, 327, 245, 2116, 12, 4567, 1947, 276, 1529, 450, 12450, 13, 304, 3655, 359, 317, 441, 2367, 13, 304, 608, 1079, 25761, 13, 304, 1534, 1610, 1285, 245, 2780, 11, 1236, 565, 521, 254, 410, 5508, 2647, 79606, 418, 1166, 450, 13, 487, 65771, 807, 3061, 586, 5868, 285, 8579, 857, 1224, 276, 245, 9888, 331, 254, 3458, 13, 100001, 2901, 2640, 6628, 2302, 581, 745, 430, 254, 4167, 30, 487, 362, 3637, 13, 207, 2901, 13062, 340, 2984, 254, 330, 988, 280, 254, 42189, 30, 487, 207, 2901, 40, 536, 441, 1006, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 2395, 304, 1503, 4367, 8963, 17815, 457, 1874, 344, 304, 463, 441, 2011, 1323, 13, 304, 1027, 1378, 280, 3011, 276, 536, 548, 276, 1682, 285, 1957, 245, 43564, 12, 61763, 331, 254, 4167, 13, 304, 1006, 1313, 26, 548, 276, 536, 2012, 280, 344, 2447, 39745, 6235, 766, 11, 285, 1236, 937, 254, 4167, 481, 330, 7488, 457, 6313, 13, 100001, 2901, 2124, 304, 6626, 745, 304, 1027, 4704, 410, 66, 12, 64201, 331, 254, 750, 2387, 25, 430, 688, 2780, 304, 2215, 657, 744, 13326, 359, 1721, 13, 304, 1027, 441, 4704, 856, 438, 993, 26, 657, 4759, 276, 330, 6807, 279, 704, 1377, 49255, 4706, 13, 100001, 3315, 304, 9317, 438, 307, 3793, 133, 215, 467, 25, 344, 317, 207, 2901, 2901, 12002, 56988, 13, 2928, 1874, 2373, 881, 254, 18377, 207, 891, 304, 4749, 359, 1184, 254, 4167, 11, 285, 254, 410, 5508, 4449, 778, 10297, 285, 7276, 13117, 13, 809, 9835, 2785, 280, 254, 8752, 7987, 11, 285, 937, 359, 20940, 525, 285, 601, 18572, 13, 100001, 2901, 2640, 359, 438, 304, 2977, 6384, 11, 548, 304, 463, 1866, 4749, 1108, 245, 8919, 13, 100001, 549, 7114, 12, 61763, 438, 12906, 13, 809, 6128, 11564, 525, 13, 1494, 274, 7315, 254, 4167, 2116, 601, 2689, 285, 4732, 276, 1721, 0, 304, 661, 276, 3753, 245, 1734, 280, 13803, 13, 2608, 10340, 1653, 1228, 245, 17819, 13, 429, 4167, 13326, 279, 8155, 13, 100001, 29534, 4426, 372, 245, 6788, 438, 25528, 636, 521, 254, 2156, 4650, 11, 285, 304, 438, 13188, 29517, 1224, 254, 20706, 13, 2428, 254, 4239, 4366, 1143, 11, 285, 254, 9911, 280, 254, 18377, 372, 1136, 11, 304, 1378, 13, 100001, 2901, 40, 608, 10297, 10383, 246, 317, 19268, 4399, 11, 285, 6642, 1874, 1979, 317, 19268, 745, 1653, 13, 304, 2977, 1481, 13, 1474, 430, 2754, 254, 13108, 4435, 450, 438, 5522, 19283, 13, 14096, 0, 304, 463, 1866, 4749, 558, 7133, 11, 548, 359, 317, 9989, 13, 1308, 1132, 856, 786, 340, 11, 21675, 2860, 30, 2071, 438, 441, 766, 276, 1481, 558, 11, 548, 304, 463, 1866, 803, 691, 20394, 279, 601, 1728, 853, 754, 340, 8921, 13, 304, 26619, 344, 359, 438, 245, 18127, 548, 5030, 38501, 3390, 344, 52334, 1752, 438, 13552, 13, 487, 207, 2901, 2640, 786, 525, 30, 487, 993, 21675, 2860, 13, 207, 2901, 40, 608, 13260, 11, 285, 3000, 304, 1378, 13, 304, 608, 75257, 285, 279, 4452, 11, 548, 359, 317, 441, 1653, 3806, 13, 487, 207, 2901, 6636, 11, 487, 993, 52334, 1752, 11, 207, 2901, 40, 481, 889, 1481, 344, 38501, 11834, 418, 1401, 280, 245, 6508, 558, 13768, 344, 304, 463, 1866, 2011, 254, 837, 280, 359, 13, 15918, 304, 3185, 11, 304, 744, 71, 3766, 79, 544, 95733, 925, 572, 247, 774, 17697, 33, 758, 0, 4026, 9462, 268, 12, 19189, 483, 8502, 40, 2213, 372, 565, 304, 661, 803, 9317, 1439, 245, 30519, 285, 274, 274, 46191, 13, 487, 1063, 993, 642, 691, 13, 1063, 1503, 23159, 20450, 13, 100001, 2901, 2054, 1529, 1166, 33388, 957, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2960, 317, 691, 786, 340, 853, 18880, 254, 6011, 11, 372, 304, 993, 280, 857, 1234, 4084, 13, 487, 21675, 2860, 21517, 565, 254, 7545, 7195, 691, 853, 359, 993, 13, 100001, 5490, 1132, 2674, 331, 1310, 13, 12337, 1234, 65771, 807, 8921, 13, 1063, 661, 17164, 3545, 279, 254, 4426, 13, 207, 2901, 40, 1378, 11, 487, 362, 993, 11, 207, 2901, 2573, 745, 317, 245, 2156, 8450, 13, 1474, 359, 317, 441, 32461, 13, 809, 317, 3074, 13, 2461, 481, 359, 330, 30, 487, 207, 2901, 38, 3793, 133, 215, 1040, 0, 487, 35351, 39369, 2520, 13, 207, 2901, 40, 3860, 565, 344, 317, 856, 657, 7195, 25, 344, 254, 3927, 6125, 418, 331, 4043, 30, 14070, 11, 395, 481, 889, 614, 331, 13, 487, 30876, 254, 2156, 5322, 78815, 11, 285, 1027, 330, 2826, 457, 521, 13, 809, 438, 64628, 285, 36301, 331, 254, 9906, 2302, 1224, 254, 13108, 1323, 768, 13, 1955, 1027, 1132, 1019, 704, 1143, 25, 279, 3865, 254, 4559, 1906, 13652, 1224, 35503, 11, 285, 742, 1143, 8450, 745, 6626, 245, 2495, 3949, 1411, 26, 1184, 359, 254, 7476, 2156, 2373, 13, 429, 3207, 5322, 1079, 3550, 13, 100001, 3287, 657, 2373, 276, 254, 3949, 39369, 2520, 2674, 1184, 11, 21728, 276, 768, 276, 3825, 13, 1733, 362, 6626, 953, 5897, 254, 7783, 657, 3505, 586, 3059, 11769, 457, 245, 3074, 23191, 13, 85656, 362, 20210, 1062, 13, 100001, 2901, 2960, 317, 742, 761, 21067, 674, 1285, 11, 487, 362, 993, 11, 207, 2901, 2959, 2345, 327, 769, 9335, 11, 642, 5914, 13, 1474, 304, 1006, 1132, 1066, 395, 418, 25, 395, 463, 6889, 254, 5904, 20593, 11, 254, 2258, 6163, 2877, 254, 42166, 13, 1002, 317, 254, 11392, 9243, 280, 9320, 364, 6045, 26, 285, 254, 42166, 418, 3345, 25, 2302, 5897, 254, 23535, 1225, 11, 331, 254, 2116, 11, 441, 691, 853, 245, 8404, 280, 245, 13925, 13, 56449, 254, 18803, 11, 581, 245, 5846, 24221, 11, 2726, 245, 5505, 4559, 11, 1184, 254, 5904, 9243, 11, 285, 636, 0, 1474, 1865, 285, 1068, 0, 487, 1955, 79842, 636, 13, 12337, 768, 438, 1913, 50065, 625, 11482, 13, 809, 438, 39346, 1369, 285, 2367, 4172, 853, 254, 634, 279, 588, 657, 661, 25119, 13, 1955, 778, 3345, 895, 23535, 1225, 26, 59335, 359, 7279, 2302, 881, 16342, 13, 16375, 254, 7144, 41753, 271, 245, 4974, 1353, 280, 68422, 46737, 13, 1955, 778, 35352, 837, 270, 7467, 280, 18995, 7636, 4318, 67815, 76399, 254, 9911, 366, 245, 10592, 12, 6209, 60738, 1431, 280, 8665, 13, 9191, 36311, 778, 6799, 285, 3438, 11, 548, 245, 3074, 23191, 438, 4426, 326, 62957, 279, 704, 9226, 13, 12975, 3246, 254, 6597, 11, 3415, 276, 254, 5144, 280, 984, 6791, 46737, 245, 1228, 82013, 453, 661, 6899, 13, 6367, 280, 359, 245, 25984, 3074, 2156, 2373, 11, 285, 1132, 285, 1310, 31577, 284, 11743, 430, 254, 63330, 285, 61867, 786, 254, 19671, 280, 254, 10114, 13, 21292, 833, 280, 4426, 14463, 6887, 506, 279, 254, 3550, 3207, 13, 100001, 2901, 1847, 395, 661, 1865, 457, 254, 1969, 4559, 1224, 473, 254, 6909, 44397, 11, 395, 1023, 463, 803, 33137, 1285, 11, 487, 993, 39369, 2520, 13, 207, 2901, 4160, 450, 3655, 344, 254, 4043, 1132, 11012, 1439, 450, 285, 25595, 13, 15512, 0, 2071, 317, 642, 766, 276, 8433, 13, 487, 6809, 372, 362, 8921, 657, 4101, 1310, 254, 31527, 22248, 12, 24283, 25, 78521, 11, 48237, 11, 2860, 283, 13, 75243, 40281, 672, 92074, 253, 21198, 7780, 7231, 662, 247, 26678, 2901, 4388, 327, 254, 1562, 7499, 0, 487, 993, 39369, 2520, 13, 207, 2901, 1847, 254, 4281, 317, 25288, 4881, 11, 395, 975, 1592, 10778, 13, 4128, 525, 0, 487, 1063, 4540, 2116, 285, 60769, 3246, 254, 6799, 6597, 280, 254, 11482, 13, 429, 5013, 438, 6146, 853, 359, 661, 4133, 13, 1733, 657, 7279, 657, 4101, 254, 8896, 285, 6393, 280, 1313, 62569, 5144, 4435, 13, 338, 62299, 56992, 2674, 581, 25, 657, 661, 803, 2826, 13, 2071, 438, 245, 7987, 285, 48565, 280, 10586, 13, 1640, 18660, 88568, 855, 21675, 2860, 487, 82, 1917, 13, 100001, 59540, 283, 348, 14032, 13, 207, 2901, 5490, 1216, 441, 2162, 437, 11, 487, 362, 993, 13, 207, 2901, 549, 4043, 643, 3423, 768, 842, 13, 1003, 418, 331, 254, 4360, 2387, 0, 487, 207, 2901, 9610, 8450, 0, 487, 2424, 39369, 2520, 13, 207, 2901, 549, 18803, 317, 3345, 13, 42898, 317, 11866, 285, 9745, 13, 487, 41554, 21675, 2860, 3505, 1323, 857, 245, 3438, 99715, 13, 2803, 254, 1225, 280, 254, 11482, 254, 6597, 35638, 285, 7276, 276, 274, 9255, 8760, 13, 429, 12881, 4167, 1027, 889, 330, 6889, 457, 245, 37181, 10175, 280, 8665, 11, 1673, 52671, 65, 410, 10347, 11, 344, 53769, 254, 99715, 366, 634 ]

[ 100000, 2901, 19582, 340, 487, 248, 1329, 11, 7421, 11, 487, 993, 21675, 2860, 9034, 32346, 13, 207, 2901, 2960, 317, 245, 2262, 279, 857, 11, 548, 953, 856, 2447, 280, 245, 2262, 285, 946, 4399, 11, 304, 487, 76, 441, 2049, 2618, 13, 60411, 2451, 11, 304, 1113, 487, 83, 1378, 745, 317, 688, 933, 327, 5663, 207, 891, 430, 1828, 13, 14070, 4348, 565, 340, 4796, 13, 19175, 525, 786, 984, 3821, 11, 441, 691, 11, 285, 937, 1282, 525, 13, 487, 2086, 13400, 438, 21675, 2860, 344, 586, 1917, 7276, 4312, 331, 586, 12960, 285, 362, 25119, 11, 3308, 372, 3444, 372, 362, 661, 13451, 254, 3073, 13, 452, 3237, 377, 4759, 642, 4172, 276, 463, 688, 23407, 13, 1063, 61867, 581, 285, 2674, 5397, 276, 5476, 11, 3148, 405, 67666, 13, 53911, 586, 9004, 438, 586, 4288, 26380, 1184, 586, 82558, 12466, 11, 548, 362, 2762, 1592, 372, 8665, 13, 4128, 245, 1477, 11, 58040, 344, 362, 744, 4107, 842, 3177, 11, 565, 362, 2659, 12734, 276, 586, 984, 20935, 23159, 11, 7421, 2149, 581, 285, 18317, 381, 1519, 271, 452, 3237, 377, 13, 3848, 4054, 405, 1870, 1215, 285, 3172, 39059, 11, 548, 362, 1401, 642, 750, 8308, 13, 7421, 18261, 1224, 285, 993, 82013, 71, 3415, 276, 586, 3256, 11, 548, 745, 438, 642, 4400, 11, 441, 1236, 245, 5770, 279, 452, 3237, 377, 487, 82, 23159, 13, 100001, 22407, 64629, 586, 1917, 13, 207, 2901, 27856, 1921, 330, 20208, 11, 487, 362, 35351, 13, 207, 2901, 2280, 565, 304, 438, 837, 452, 3237, 377, 11, 362, 7358, 487, 83, 15511, 581, 1866, 1310, 13, 487, 1063, 59906, 254, 8052, 280, 586, 16356, 285, 254, 22967, 344, 27376, 276, 586, 2764, 11, 285, 2674, 285, 2659, 1224, 457, 586, 5738, 13, 100001, 3287, 362, 33734, 581, 254, 9539, 2330, 438, 4165, 11, 441, 25122, 548, 35691, 853, 754, 657, 661, 11124, 271, 13, 7421, 88837, 276, 586, 5144, 13, 3688, 2754, 473, 586, 1377, 6153, 280, 66654, 285, 28406, 11, 362, 8963, 10117, 344, 362, 661, 25119, 254, 32461, 2302, 11, 11326, 3821, 430, 2754, 13, 21675, 2860, 438, 1592, 4311, 20208, 11, 13595, 1132, 24880, 331, 586, 2387, 13, 452, 3237, 377, 438, 441, 276, 330, 2826, 13, 40140, 44077, 1086, 4773, 327, 3177, 2373, 276, 7421, 487, 82, 2764, 11, 10237, 473, 254, 452, 67470, 487, 82, 2317, 72164, 1734, 12, 1394, 494, 26, 937, 359, 839, 11129, 276, 857, 344, 586, 5738, 661, 803, 1329, 25, 745, 661, 327, 254, 1828, 803, 3011, 276, 6839, 2481, 13, 1955, 778, 430, 688, 3934, 1572, 13260, 285, 405, 38625, 1403, 1215, 13, 100001, 2901, 36859, 60087, 0, 487, 362, 993, 3222, 57089, 3200, 13, 207, 2901, 4388, 304, 3860, 1066, 362, 487, 82, 2149, 276, 30, 487, 207, 2901, 3647, 2367, 11, 441, 2367, 0, 487, 993, 245, 5136, 2330, 857, 13, 1063, 4133, 581, 285, 3505, 254, 6775, 280, 452, 3237, 377, 487, 82, 2317, 1917, 285, 14501, 2481, 254, 6787, 9539, 13, 100001, 2901, 4898, 11, 856, 418, 340, 3217, 30, 487, 7899, 7421, 11, 586, 54342, 4321, 1062, 372, 3444, 372, 362, 3505, 344, 6775, 13, 100001, 2901, 50, 1513, 21313, 361, 314, 317, 21416, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 4677, 1062, 3444, 13, 487, 207, 2901, 17095, 1062, 1132, 0, 487, 25455, 7421, 13, 207, 2901, 11007, 0, 15512, 1062, 0, 487, 1474, 452, 3237, 377, 661, 35638, 13, 2901, 40, 34788, 2470, 11, 487, 993, 7421, 13, 207, 2901, 5045, 84226, 709, 11, 304, 35442, 13, 1308, 362, 487, 82, 5418, 842, 13, 100001, 50, 797, 362, 487, 82, 21416, 13, 487, 207, 2901, 7390, 487, 83, 10304, 0, 487, 993, 21675, 2860, 13, 207, 2901, 2960, 487, 82, 642, 1345, 327, 359, 13, 1474, 362, 487, 647, 1865, 1062, 11, 340, 487, 647, 1019, 13, 429, 10668, 543, 2785, 2618, 245, 1477, 13, 1308, 362, 2115, 487, 83, 4283, 586, 27650, 1123, 11, 12344, 13, 487, 21675, 2860, 1401, 2156, 280, 359, 754, 362, 7213, 344, 657, 661, 25119, 91605, 327, 3821, 366, 452, 3237, 377, 11, 285, 245, 1079, 21416, 452, 3237, 377, 1653, 11, 15374, 13869, 768, 13, 207, 2901, 7390, 487, 83, 1378, 280, 688, 280, 520, 307, 67470, 487, 82, 2074, 4773, 11, 487, 362, 993, 13, 207, 2901, 2054, 778, 16870, 636, 11, 285, 359, 643, 4540, 636, 1136, 25, 395, 418, 1132, 1572, 31611, 13, 100001, 2280, 395, 463, 245, 2074, 4559, 8450, 11, 254, 11312, 4559, 280, 521, 13, 487, 207, 2901, 13664, 254, 3427, 11, 487, 993, 7421, 13, 207, 2901, 2819, 1234, 487, 82, 359, 1872, 276, 1529, 450, 276, 536, 437, 3112, 30, 1308, 754, 359, 487, 82, 2368, 11, 856, 418, 395, 1872, 276, 536, 937, 30, 1002, 1143, 27297, 11526, 340, 331, 520, 12882, 279, 245, 7289, 1143, 11, 2451, 359, 2845, 487, 83, 12276, 254, 5180, 2550, 1826, 11, 372, 340, 1667, 1481, 25, 441, 276, 601, 6153, 48835, 11, 4569, 642, 65107, 276, 768, 372, 1401, 359, 13, 1474, 340, 463, 276, 6540, 742, 280, 359, 1131, 1492, 11, 285, 359, 2845, 487, 83, 2554, 13, 304, 35442, 395, 487, 313, 2149, 2527, 276, 1562, 11, 1481, 11, 1853, 5752, 410, 558, 11, 285, 344, 366, 245, 10601, 20437, 285, 245, 2156, 19022, 11, 2764, 340, 13, 1003, 487, 313, 803, 245, 2683, 2094, 366, 359, 558, 2367, 13, 487, 207, 2901, 40, 1113, 487, 83, 1006, 946, 1234, 395, 2786, 1529, 276, 207, 891, 276, 8315, 11, 487, 993, 21675, 2860, 13, 207, 2901, 1380, 778, 84290, 25659, 279, 254, 17188, 13, 1474, 7421, 3740, 42724, 49675, 11, 601, 7415, 38501, 3390, 207, 891, 6031, 11, 7421, 601, 42942, 38501, 3390, 11, 2138, 280, 3997, 207, 891, 304, 536, 441, 1378, 395, 933, 2102, 2215, 276, 856, 3450, 1166, 344, 13, 2158, 536, 254, 3112, 372, 340, 1957, 359, 207, 891, 856, 3655, 317, 745, 344, 395, 2647, 2786, 30, 1308, 565, 395, 536, 11, 779, 7466, 856, 543, 1865, 280, 344, 30, 1273, 254, 3474, 5014, 881, 254, 11365, 11, 285, 395, 418, 430, 1297, 30, 304, 2088, 340, 11, 7421, 11, 418, 395, 2647, 4135, 276, 933, 9886, 1310, 30, 304, 1378, 441, 13, 1273, 395, 481, 21299, 769, 32004, 276, 3792, 450, 276, 7408, 78521, 11, 344, 317, 521, 395, 481, 536, 13, 4600, 853, 304, 481, 11, 304, 3488, 276, 2213, 13, 487, 7421, 27007, 34033, 13, 1063, 3061, 586, 5738, 487, 82, 1297, 285, 18261, 855, 359, 13, 1063, 1216, 441, 13257, 359, 11, 2451, 586, 12867, 7276, 331, 359, 13, 2928, 362, 4540, 2302, 11, 12419, 586, 33989, 855, 586, 15728, 11, 285, 2149, 581, 11, 285, 38820, 786, 11, 3507, 276, 38541, 11, 285, 5366, 1439, 254, 8950, 25, 207, 2901, 9595, 487, 82, 344, 2407, 18328, 18588, 30, 487, 809, 438, 3370, 441, 1234, 1323, 452, 3237, 377, 5651, 26, 548, 362, 2373, 558, 17987, 344, 657, 1216, 441, 4704, 857, 6309, 362, 6626, 1323, 768, 13, 3848, 14773, 285, 3059, 778, 98109, 366, 3438, 17511, 13, 1063, 438, 1592, 67514, 285, 18441, 49206, 13, 2461, 362, 438, 67514, 11, 657, 1216, 441, 2088, 410, 837, 276, 1378, 13, 100001, 2901, 54, 561, 82, 410, 99259, 410, 1874, 31481, 88, 636, 280, 15101, 11, 487, 2215, 7421, 13, 100001, 2901, 33, 2303, 0, 429, 36978, 18588, 26, 254, 4922, 60087, 0, 487, 452, 3237, 377, 993, 3011, 276, 768, 11, 2645, 362, 661, 24876, 15358, 285, 26829, 3177, 279, 254, 5545, 13, 2928, 362, 2373, 581, 276, 768, 11, 284, 20594, 586, 12077, 13, 207, 2901, 44309, 1132, 11, 487, 362, 993, 13, 207, 2901, 7425, 395, 31611, 30, 37194, 276, 614, 331, 30, 30287, 38501, 11834, 11, 657, 5476, 23140, 13, 16101, 324, 1513, 21313, 361, 314, 1132, 30, 15429, 11, 1079, 1207, 13, 487, 14323, 691, 37367, 13, 9904, 5736, 438, 2246, 84215, 285, 691, 85544, 11, 285, 9405, 895, 9226, 74482, 1215, 276, 12596, 13716, 13, 809, 4732, 276, 5409, 285, 34730, 13, 100001, 4026, 2653, 12419, 276, 895, 1225, 11, 548, 16785, 778, 1132, 855, 12780, 285, 5395, 11, 285, 657, 4437, 280, 254, 4321, 280, 1492, 889, 457, 254, 4363, 27659, 280, 254, 10212, 14518, 2156, 13, 100001, 774, 245, 28599, 5064, 657, 2373, 276, 254, 1225, 280, 254, 2354, 12, 16363, 13, 429, 13716, 5322, 36944, 12, 33806, 96222, 13, 8075, 254, 1562, 24312, 280, 6299, 1255, 8665, 254, 5545, 307, 3955, 1215, 285, 7276, 1224, 881, 245, 10176, 40835, 285, 438, 4739, 13, 25092, 81429, 586, 15646, 285, 84342, 2451, 657, 1027, 2213, 642, 5409, 13, 100001, 2921, 2818, 2387, 285, 279, 3865, 5505, 267, 660, 285, 273, 3457, 1132, 2762, 11, 34320, 2302, 69804, 285, 67089, 881, 254, 4165, 3222, 12, 3205, 13, 364, 1934, 61867, 285, 42478, 473, 4426, 285, 41148, 498, 31369, 13, 429, 298, 1795, 280, 768, 11704, 67507, 2237, 279, 254, 1592, 3207, 13, 13095, 2302, 11, 1132, 3308, 3266, 8868, 11, 254, 11072, 12, 9906, 280, 364, 694, 256, 645, 20200, 11, 837, 245, 3438, 3253, 280, 38798, 16785, 17864, 2330, 245, 11866, 27464, 12, 7957, 5532, 13, 100001, 549, 38501, 11834, 778, 1132, 22268, 279, 254, 4054, 280, 452, 3237, 377, 13, 1955, 1216, 441, 1006, 11, 285, 1027, 441, 6384, 279, 344, 83067, 2156, 11, 344, 657, 778, 279, 1714, 889, 953, 2383, 254, 18073, 26922, 280, 254, 93802, 11, 254, 1969, 77808, 280, 588, 2762, 8868, 280, 768, 13, 1955, 1027, 11, 565, 657, 661, 3185, 254, 19369, 11, 366, 742, 8401, 463, 29825, 3263, 704, 5610, 245, 1585, 11, 285, 937, 9860, 12450, 463, 1865, 4078, 855, 2074, 16672, 276, 254, 10922, 8800, 280, 44392, 256, 13322, 25, 254, 2021, 280, 254, 10641, 8680, 1323, 254, 18318, 280, 364, 694, 256, 13, 100001, 3647, 344, 745, 438, 1228, 3655, 279, 1108, 245, 2629, 13, 2426, 344, 84215, 8800, 745, 438, 642, 4831, 11, 285, 3246, 359, 7279, 254, 63979, 280, 254, 2489, 5508, 285, 254, 13474, 280, 254, 75425, 13, 3688, 1236, 254, 25985, 8667, 280, 7980, 21313, 4397, 255, 744, 463, 31323, 768, 745, 13, 100001, 2901, 2819, 536, 395, 6775, 769, 2629, 1132, 11, 324, 1513, 21313, 361, 314, 30, 487, 3637, 21675, 2860, 13, 207, 2901, 27856, 395, 4234, 1069, 11626, 12, 3081, 4192, 267, 660, 30, 487, 207, 2901, 3233, 933, 11, 642, 933, 430, 521, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 3647, 565, 38501, 11834, 1121, 276, 5934, 254, 4426, 14499, 285, 614, 276, 1019, 12823, 1079, 3399, 13, 9635, 245, 1585, 11, 285, 4078, 245, 1585, 487, 207, 891, 586, 59521, 5868, 43656, 8687, 285, 12450, 207, 891, 207, 2901, 384, 340, 481, 1865, 331, 2074, 6159, 16672, 276, 254, 1079, 18318, 280, 3848, 3085, 13, 39499, 280, 3848, 1245, 543, 330, 745, 2709, 636, 327, 10764, 11, 1079, 11718, 276, 1529, 768, 6044, 276, 12823, 11, 508, 5348, 13, 3848, 30607, 32741, 344, 1143, 521, 254, 766, 13, 809, 9317, 324, 1513, 21313, 361, 314, 745, 11, 1234, 4084, 13, 487, 452, 3237, 377, 80078, 13, 207, 2901, 2395, 324, 1513, 21313, 361, 314, 643, 1222, 586, 3545, 1962, 937, 11, 5348, 11, 5348, 25, 304, 487, 313, 1222, 3545, 285, 5144, 285, 15728, 1962, 937, 13, 304, 1006, 750, 4703, 13, 4600, 3915, 11, 441, 558, 3399, 26, 548, 2018, 11, 565, 395, 1113, 487, 83, 1121, 12823, 276, 1019, 13, 23028, 324, 1513, 21313, 361, 314, 0, 1063, 481, 1529, 340, 1184, 254, 93802, 11, 1184, 254, 95027, 11, 5538, 7141, 95027, 13, 100001, 25807, 324, 1513, 21313, 361, 314, 1079, 10654, 11, 285, 340, 975, 614, 245, 1234, 1143, 11, 3148, 245, 1385, 438, 2571, 1492, 11, 245, 5409, 1568, 285, 55432, 4421, 11, 285, 254, 40986, 12, 298, 5011, 2762, 279, 6751, 13716, 13, 2366, 4281, 57488, 254, 2495, 93438, 9539, 11, 285, 452, 3237, 377, 4759, 17177, 276, 4883, 254, 8398, 430, 2561, 13, 2086, 1166, 245, 8749, 1610, 657, 845, 636, 1310, 285, 778, 3444, 4739, 279, 245, 67029, 13117, 1843, 11, 3423, 842, 473, 521, 2343, 280, 254, 19369, 786, 11, 2818, 254, 17188, 344, 657, 661, 2116, 410, 254, 14499, 344, 657, 14144, 13, 1955, 2674, 9405, 279, 2816, 1761, 25, 452, 3237, 377, 11, 7421, 11, 21675, 2860, 13, 100001, 53556, 2860 ]

[ 100000, 1481, 1572, 642, 285, 5348, 13, 487, 207, 2901, 3110, 359, 6031, 30, 487, 14032, 452, 858, 256, 13, 207, 2901, 1877, 1606, 24496, 2102, 405, 3441, 17593, 7402, 11, 327, 7402, 317, 245, 11866, 8292, 11, 1236, 473, 254, 13430, 276, 254, 13430, 11, 285, 521, 12707, 975, 1409, 3730, 13, 1474, 856, 744, 340, 30, 1257, 463, 441, 3542, 525, 521, 13159, 4769, 26, 285, 946, 937, 2786, 304, 4352, 2018, 853, 340, 30, 1474, 565, 340, 5521, 7402, 11, 304, 543, 327, 19422, 487, 82, 13470, 2102, 359, 13, 304, 1378, 340, 1023, 1132, 614, 430, 2561, 11, 1673, 8401, 26, 285, 565, 39369, 2520, 1217, 441, 1865, 1323, 340, 845, 636, 11, 937, 304, 839, 20436, 437, 25, 536, 441, 614, 5254, 13, 100001, 15004, 1108, 3997, 372, 418, 29553, 285, 9807, 13, 4201, 340, 1023, 330, 16770, 11, 327, 304, 536, 441, 2102, 437, 15521, 37809, 13, 429, 1473, 1606, 463, 704, 1377, 66102, 285, 704, 1377, 60248, 11, 285, 657, 418, 1585, 10849, 366, 254, 4703, 280, 38501, 11834, 11, 410, 280, 688, 750, 21774, 2065, 6039, 13, 4265, 12888, 4234, 34964, 24496, 11, 457, 5518, 410, 5487, 13, 685, 437, 6244, 745, 975, 330, 691, 853, 5518, 26, 548, 254, 5487, 317, 441, 3662, 276, 525, 11, 285, 304, 5663, 276, 1481, 1653, 1266, 13, 487, 207, 2901, 40, 608, 15358, 16770, 11, 487, 993, 21675, 2860, 26, 207, 2901, 2381, 304, 4796, 340, 744, 2410, 525, 29224, 856, 254, 6350, 433, 7260, 418, 13, 1273, 304, 1529, 520, 7402, 304, 975, 441, 1019, 39369, 2520, 327, 245, 1234, 1477, 11, 285, 304, 9090, 276, 1006, 856, 317, 254, 7082, 344, 11216, 1154, 525, 13, 487, 207, 2901, 3110, 359, 441, 2527, 276, 1006, 344, 657, 418, 20595, 280, 254, 75425, 30, 487, 7589, 452, 858, 256, 13, 207, 2901, 37, 16043, 768, 0, 56240, 642, 3073, 276, 768, 0, 1955, 418, 27661, 13, 20839, 642, 691, 280, 525, 0, 1474, 601, 2997, 18067, 3384, 344, 11, 31076, 521, 317, 9765, 11, 340, 11, 21675, 2860, 4278, 280, 66528, 2304, 11, 543, 1006, 691, 280, 1069, 7276, 2012, 853, 452, 858, 256, 685, 2533, 256, 277, 13, 3638, 1473, 65, 669, 393, 4088, 340, 0, 487, 207, 2901, 2395, 1066, 2786, 304, 1275, 15035, 30, 487, 3637, 21675, 2860, 13, 207, 2901, 4026, 317, 856, 304, 27789, 933, 13, 487, 207, 2901, 34, 54183, 317, 1503, 279, 18714, 6171, 11, 487, 993, 452, 858, 256, 13, 207, 2901, 4677, 280, 1207, 11838, 1006, 280, 520, 8398, 11, 285, 1462, 344, 463, 1823, 327, 1207, 2786, 330, 331, 254, 4348, 13, 304, 1210, 340, 86933, 12, 8149, 26, 285, 975, 254, 7524, 25801, 2065, 254, 1225, 280, 520, 4559, 0, 18783, 4049, 463, 395, 661, 1108, 9175, 279, 28163, 11, 285, 359, 317, 4770, 276, 4704, 3073, 280, 254, 37836, 44151, 473, 254, 12077, 280, 750, 18012, 39523, 279, 254, 1843, 13, 487, 21675, 2860, 4749, 5476, 4321, 2065, 857, 11, 1236, 372, 452, 858, 256, 7370, 3753, 12, 6209, 13, 207, 2901, 40, 543, 5476, 1132, 11, 487, 362, 993, 26, 285, 254, 86933, 5426, 857, 276, 245, 90321, 13869, 375, 12082, 246, 11, 285, 362, 15188, 3177, 2065, 245, 3853, 285, 7276, 430, 2561, 881, 245, 6267, 1568, 55545, 13, 27024, 207, 19, 338, 13746, 8333, 339, 3231, 8519, 364, 42593, 2256, 87142, 685, 254, 4421, 21675, 2860, 33734, 51870, 13, 1063, 438, 13595, 279, 245, 90321, 1401, 457, 245, 4731, 5330, 366, 16000, 99773, 285, 80560, 276, 254, 3419, 26, 586, 3853, 438, 280, 90075, 285, 11387, 11, 4399, 285, 2838, 285, 38360, 53447, 13, 429, 4281, 438, 25288, 1184, 254, 85010, 8242, 11, 588, 778, 1592, 5575, 2065, 254, 5330, 13, 1063, 24381, 581, 285, 2674, 636, 13, 100001, 22407, 438, 9368, 331, 254, 11387, 3345, 254, 5941, 280, 254, 4837, 13, 375, 12082, 246, 438, 8898, 16208, 254, 9539, 285, 8077, 13, 2071, 438, 642, 1472, 280, 254, 1473, 1606, 13, 100001, 2901, 5490, 463, 2116, 450, 9606, 285, 7369, 11, 285, 9886, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 17095, 285, 463, 520, 11124, 13, 429, 9886, 28096, 3308, 372, 1207, 372, 359, 1216, 1562, 2653, 13, 304, 1216, 441, 1121, 276, 4283, 340, 688, 11, 548, 7421, 27304, 13, 487, 21675, 2860, 2659, 1224, 13869, 7421, 285, 4732, 276, 6540, 13, 207, 2901, 2640, 317, 254, 2449, 327, 3571, 30, 487, 3637, 375, 12082, 246, 13, 100001, 2901, 1898, 3667, 276, 23512, 275, 12965, 372, 5397, 372, 2198, 11, 487, 7589, 21675, 2860, 11, 285, 4366, 586, 5379, 276, 254, 3427, 13, 100001, 2901, 4453, 340, 1378, 395, 2786, 1019, 3270, 280, 1462, 433, 7260, 30, 487, 3637, 375, 12082, 246, 53848, 13, 10281, 254, 4421, 4281, 254, 14352, 280, 7123, 245, 3000, 42506, 280, 768, 1216, 441, 1751, 1079, 56146, 276, 857, 13, 100001, 2901, 5661, 11, 3748, 11, 487, 993, 21675, 2860, 11, 441, 36823, 254, 29780, 13, 207, 2901, 2395, 304, 3655, 276, 752, 3246, 254, 8144, 1673, 704, 7123, 450, 13, 487, 207, 2901, 13062, 340, 1275, 636, 3270, 786, 768, 473, 452, 858, 256, 30, 487, 207, 2901, 3647, 1266, 207, 891, 889, 28328, 285, 80001, 878, 11, 487, 993, 21675, 2860, 760, 281, 2137, 13, 100001, 2901, 13062, 340, 2088, 786, 254, 47952, 272, 30, 487, 207, 2901, 1380, 3320, 487, 83, 3303, 359, 11, 487, 993, 21675, 2860, 366, 586, 8602, 2201, 13, 100001, 2901, 2054, 1023, 463, 13, 304, 608, 2049, 359, 317, 1079, 2375, 13, 487, 207, 2901, 774, 344, 1460, 304, 608, 2049, 452, 858, 256, 744, 463, 15354, 276, 6716, 359, 11, 487, 993, 21675, 2860, 29731, 13, 207, 2901, 2280, 1132, 4283, 525, 279, 6942, 327, 245, 2683, 0, 304, 1113, 487, 83, 1121, 276, 3510, 245, 2662, 280, 4313, 1477, 304, 608, 11258, 13, 304, 1121, 276, 1378, 0, 487, 207, 2901, 11083, 34457, 0, 487, 993, 375, 12082, 246, 13, 207, 2901, 3567, 11124, 30, 487, 1063, 10408, 2302, 5135, 254, 5941, 280, 254, 5575, 13, 100001, 4044, 21675, 2860, 487, 82, 2764, 254, 6464, 4421, 207, 891, 41107, 4999, 6464, 11, 362, 2215, 207, 891, 661, 441, 64959, 254, 5663, 280, 25595, 26, 285, 362, 90959, 254, 3073, 280, 452, 858, 256, 13, 429, 30542, 5136, 280, 375, 12082, 246, 2373, 276, 857, 13, 1063, 438, 3268, 331, 254, 5575, 44996, 285, 17003, 13, 100001, 2901, 3233, 0, 304, 1027, 441, 0, 487, 362, 993, 276, 3177, 13, 207, 2901, 1385, 317, 634, 2421, 276, 1529, 601, 2823, 3997, 10147, 855, 254, 1783, 641, 366, 525, 11, 2645, 395, 418, 21416, 8589, 565, 657, 418, 9807, 276, 1865, 13, 429, 37310, 317, 7207, 5254, 13, 304, 1113, 487, 83, 1378, 304, 9090, 1236, 276, 1529, 7421, 13, 487, 1063, 4133, 430, 7421, 42724, 49675, 11, 285, 9351, 344, 7421, 438, 9697, 857, 13, 100001, 2901, 6636, 11, 7421, 0, 487, 362, 993, 13, 207, 2901, 2640, 786, 359, 30, 304, 608, 7933, 254, 1783, 641, 372, 3444, 372, 2647, 304, 481, 207, 891, 279, 1714, 304, 463, 1401, 581, 601, 2764, 1132, 441, 1236, 276, 3825, 245, 1492, 430, 7011, 772, 5086, 776, 11, 565, 359, 481, 330, 8579, 13, 487, 207, 2901, 16877, 1207, 11, 8005, 0, 487, 207, 2901, 2054, 1592, 2059, 276, 1865, 366, 525, 30, 487, 207, 2901, 40, 536, 13, 487, 207, 2901, 1385, 317, 1872, 276, 330, 1079, 11866, 11, 7421, 13, 809, 317, 2571, 11866, 13, 100001, 11694, 4135, 8533, 280, 450, 543, 1865, 1062, 13, 487, 207, 2901, 1847, 340, 1113, 487, 83, 1865, 1062, 11, 8005, 11, 937, 304, 65168, 487, 83, 11, 344, 487, 82, 2569, 11, 487, 993, 7421, 13, 207, 2901, 7390, 487, 83, 340, 4283, 857, 0, 657, 993, 276, 525, 13, 28764, 857, 0, 304, 993, 13, 304, 1866, 2059, 276, 13, 304, 608, 1872, 366, 857, 11, 565, 362, 81439, 276, 254, 20992, 26, 285, 565, 688, 280, 1462, 6350, 433, 7260, 1682, 276, 3070, 857, 11, 657, 487, 647, 463, 7421, 42724, 49675, 276, 35442, 366, 11, 304, 993, 13, 1955, 14032, 13, 487, 207, 2901, 11604, 418, 657, 11, 285, 856, 418, 340, 6807, 786, 30, 487, 207, 2901, 549, 1473, 1606, 11, 8005, 13, 1003, 661, 742, 3075, 1562, 2653, 26, 285, 657, 4759, 276, 1006, 340, 778, 1872, 2302, 11, 558, 304, 3320, 487, 83, 1019, 254, 938, 280, 47954, 359, 13, 100001, 73020, 22503, 11, 1473, 1606, 11, 8005, 0, 60705, 0, 487, 207, 2901, 5490, 418, 11, 487, 993, 21675, 2860, 13, 207, 2901, 4453, 340, 837, 768, 1592, 11, 1132, 340, 463, 661, 245, 11765, 2343, 30, 487, 207, 2901, 5490, 1751, 245, 2683, 2330, 601, 14823, 285, 696, 58028, 11, 558, 276, 3753, 11, 487, 7589, 7421, 9405, 13, 207, 2901, 1385, 1113, 487, 83, 1751, 276, 3502, 856, 304, 1378, 786, 768, 13, 1955, 418, 3148, 1448, 473, 856, 304, 4061, 207, 891, 558, 1712, 285, 2823, 11, 285, 558, 16218, 285, 9436, 11, 372, 359, 778, 13, 487, 21675, 2860, 4133, 430, 7421, 3272, 37728, 11, 3222, 20331, 276, 1019, 742, 29985, 1472, 280, 254, 8788, 2262, 344, 4759, 276, 463, 1865, 855, 857, 13, 100001, 1385, 1216, 441, 3066, 837, 254, 5136, 280, 254, 1712, 7421, 42724, 49675, 344, 362, 2215, 362, 4437, 13, 1474, 359, 4133, 837, 254, 1712, 7421, 42724, 49675, 9368, 745, 11, 5085, 344, 586, 3059, 438, 47464, 31580, 13, 100001, 2901, 4453, 340, 2213, 688, 933, 276, 4283, 254, 1783, 641, 1132, 207, 891, 1132, 344, 520, 4796, 276, 1019, 768, 643, 1865, 1927, 2571, 30, 487, 362, 3637, 13, 100001, 2901, 5661, 11, 8005, 13, 304, 1113, 487, 83, 1006, 946, 276, 1481, 359, 11, 548, 1166, 1562, 2653, 304, 2213, 1448, 13, 304, 1751, 276, 1019, 8450, 11, 279, 245, 2447, 280, 1143, 13, 304, 1006, 395, 418, 1872, 276, 1529, 245, 1079, 1234, 4559, 11, 881, 16342, 26, 548, 304, 1006, 304, 481, 487, 83, 1947, 1062, 13, 100001, 1385, 4269, 487, 83, 276, 1019, 1473, 1606, 1132, 11, 5068, 63323, 11, 5068, 14499, 11, 344, 304, 1121, 207, 891, 304, 1113, 487, 83, 39745, 1006, 856, 304, 1121, 25, 548, 304, 463, 1874, 276, 536, 1323, 254, 1225, 11, 285, 359, 11012, 8450, 11, 441, 279, 254, 1783, 641, 13, 304, 1534, 1019, 359, 1184, 11, 8005, 11, 565, 340, 2579, 525, 13, 487, 207, 2901, 40, 1113, 487, 83, 16369, 13, 1474, 304, 2579, 344, 39369, 2520, 13070, 525, 245, 1207, 15640, 13, 304, 608, 3093, 13, 1003, 543, 614, 2854, 13, 487, 2901, 3315, 4599, 276, 1330, 30, 487, 362, 993, 372, 375, 12082, 246, 7279, 581, 13, 207, 2901, 1380, 1534, 330, 3442, 842, 430, 2561, 13, 1003, 25119, 5189, 26, 285, 745, 418, 245, 1207, 1313, 6593, 276, 614, 13, 487, 207, 2901, 2054, 25119, 5189, 11, 340, 2059, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 40, 438, 581, 1234, 1323, 26, 285, 395, 418, 889, 7511, 327, 340, 276, 8315, 11258, 285, 5764, 13, 487, 207, 2901, 40, 463, 7370, 1572, 1132, 13, 1308, 304, 608, 1872, 276, 1099, 327, 23512, 275, 12965, 62361, 372, 5397, 372, 2198, 13, 304, 608, 441, 1872, 636, 280, 254, 1143, 11, 1062, 276, 254, 4559, 395, 2116, 1562, 2653, 25, 304, 608, 1872, 276, 3423, 6044, 3246, 3085, 473, 1285, 13, 487, 207, 2901, 4631, 340, 418, 1872, 276, 10572, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2054, 2115, 487, 83, 3423, 6044, 331, 4414, 10279, 279, 437, 3085, 13, 487, 207, 2901, 1380, 481, 3423, 5365, 11266, 853, 254, 4559, 12344, 11, 487, 7589, 21675, 2860, 13, 100001, 2901, 549, 62361, 317, 12450, 473, 10082, 26678, 26, 548, 254, 2074, 4559, 13800, 2302, 276, 254, 2116, 207, 891, 340, 481, 1019, 245, 26981, 280, 359, 2302, 8687, 855, 745, 13, 809, 5014, 4078, 254, 8687, 1225, 280, 254, 2545, 844, 558, 372, 276, 15207, 254, 4309, 1411, 473, 254, 18803, 2330, 17495, 13, 1474, 344, 317, 6593, 636, 280, 254, 1143, 13, 1003, 1027, 4617, 245, 8404, 280, 254, 5013, 565, 395, 1401, 245, 1353, 327, 254, 62361, 473, 1066, 395, 2039, 13, 487, 207, 2901, 19643, 17414, 1099, 1234, 28572, 11, 487, 24222, 375, 12082, 246, 13, 207, 2901, 549, 3085, 317, 9109, 4078 ]

[ 100000, 276, 254, 417, 6570, 280, 2128, 255, 13, 1733, 657, 19354, 473, 1090, 254, 71002, 280, 254, 4837, 11, 8427, 23280, 41639, 285, 4133, 1062, 366, 19038, 13, 2928, 362, 4366, 245, 6363, 5778, 13, 100001, 2901, 2960, 418, 3545, 0, 487, 362, 993, 13, 207, 2901, 36, 8711, 2709, 636, 473, 254, 25851, 280, 254, 67815, 0, 304, 1866, 3505, 1108, 3545, 1323, 13, 487, 429, 3072, 11, 12052, 457, 586, 5778, 11, 41639, 285, 4540, 26, 548, 8427, 23280, 3805, 276, 10502, 1062, 13, 100001, 2901, 3233, 11, 642, 0, 487, 7899, 65771, 807, 13, 207, 2901, 4453, 372, 340, 4066, 279, 520, 40549, 11, 548, 1632, 525, 1022, 752, 1224, 473, 437, 7569, 0, 304, 4796, 276, 1019, 642, 3545, 0, 487, 207, 2901, 36632, 11, 8427, 23280, 7538, 30108, 2081, 487, 993, 39369, 2520, 13, 207, 2901, 4453, 441, 614, 1062, 881, 254, 4837, 11, 441, 2618, 0, 4201, 317, 441, 520, 766, 13, 487, 6809, 372, 362, 8921, 11, 745, 2373, 4312, 636, 280, 254, 7636, 1853, 8387, 18294, 13, 1733, 8670, 372, 244, 64743, 657, 778, 11, 15367, 5144, 410, 691, 279, 5484, 26, 704, 2955, 12792, 11, 33976, 372, 2823, 7636, 11, 4759, 276, 330, 47286, 366, 1819, 2415, 410, 366, 12434, 280, 3415, 12, 34204, 14518, 285, 10176, 13, 9191, 32004, 778, 1234, 11, 285, 704, 4054, 661, 1313, 14773, 26, 704, 5539, 438, 19813, 11, 285, 704, 330, 2550, 14518, 12, 12361, 372, 36944, 13, 1955, 32182, 636, 366, 20292, 3545, 11, 548, 657, 778, 441, 2709, 430, 254, 33819, 25, 704, 3545, 778, 18261, 8687, 2849, 13, 41554, 657, 18949, 704, 1234, 4054, 276, 704, 47396, 11, 285, 2143, 8188, 39237, 8104, 11, 3662, 372, 9267, 280, 245, 27250, 11, 548, 691, 9686, 285, 3947, 13, 429, 8104, 778, 7589, 26, 285, 9860, 1310, 11, 254, 33819, 3505, 750, 21774, 280, 254, 1246, 2447, 21054, 11, 1406, 3645, 1184, 254, 11387, 13, 1955, 2373, 35503, 473, 254, 5226, 11, 10147, 837, 259, 9308, 711, 879, 279, 704, 59091, 11, 548, 441, 279, 704, 4583, 26, 327, 704, 12882, 279, 704, 1234, 57068, 8896, 31557, 853, 254, 711, 249, 487, 82, 19814, 13, 429, 33819, 7899, 30294, 279, 3860, 11, 285, 742, 845, 704, 4054, 2065, 704, 16356, 12, 67009, 1269, 13, 100001, 2901, 2054, 933, 642, 15872, 11, 487, 993, 39369, 2520, 13, 207, 2901, 6723, 418, 548, 38375, 41533, 13, 100001, 5490, 418, 441, 14924, 11, 6031, 657, 418, 441, 10849, 366, 450, 430, 521, 13, 487, 2086, 359, 4759, 276, 330, 26, 327, 372, 362, 8921, 254, 8670, 21774, 11, 1673, 245, 16455, 430, 254, 33819, 11, 75809, 881, 254, 4837, 285, 35638, 13, 100001, 2901, 13608, 67, 41533, 0, 487, 993, 429, 21313, 94054, 13, 207, 2901, 9595, 418, 704, 64218, 30, 2461, 418, 657, 11, 39369, 2520, 3025, 1494, 359, 317, 8800, 344, 276, 340, 11, 430, 688, 3934, 11, 657, 418, 441, 8387, 13, 487, 207, 2901, 5490, 418, 254, 86636, 280, 254, 7636, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 3110, 359, 558, 1234, 1962, 340, 19240, 276, 29915, 457, 254, 22533, 546, 30, 2071, 418, 3022, 279, 520, 3114, 779, 11, 636, 280, 254, 25852, 20407, 280, 3693, 11, 1027, 4354, 254, 3510, 276, 520, 2512, 13, 1257, 463, 2826, 7901, 82, 11, 508, 5047, 11, 7901, 82, 636, 280, 84700, 1752, 18724, 11, 588, 279, 520, 16777, 340, 1282, 254, 7901, 5694, 13, 12887, 340, 1378, 344, 254, 1210, 438, 2028, 889, 279, 21639, 14652, 30, 39992, 11, 429, 21313, 94054, 11, 359, 317, 6616, 25, 276, 768, 340, 418, 548, 254, 9989, 19025, 26, 521, 254, 1555, 473, 36, 256, 75, 672, 36129, 580, 549, 21313, 355, 289, 247, 19666, 557, 994, 13285, 4251, 4520, 11119, 26, 994, 16950, 304, 3488, 245, 1585, 276, 2579, 254, 30774, 280, 254, 7636, 11, 304, 1378, 13, 304, 463, 8663, 276, 1019, 8387, 2507, 13, 9055, 395, 463, 47319, 769, 35743, 285, 769, 5633, 11, 4930, 769, 10420, 11, 35386, 769, 6164, 11, 410, 59295, 2302, 276, 1345, 279, 254, 27770, 280, 4302, 281, 41821, 349, 13, 1308, 344, 395, 2424, 254, 1728, 280, 10889, 11, 254, 1143, 280, 254, 1843, 13, 1003, 27580, 1585, 327, 856, 2762, 5897, 254, 26922, 280, 769, 3114, 13, 44855, 395, 463, 344, 2410, 280, 1069, 2012, 11, 548, 395, 418, 39427, 768, 11, 10333, 768, 889, 276, 3022, 11, 372, 245, 41458, 2385, 13, 1308, 1132, 254, 11688, 463, 1865, 1224, 3264, 450, 636, 280, 8387, 6171, 11, 285, 3667, 9200, 1090, 254, 5071, 13, 487, 207, 2901, 2054, 1023, 330, 7684, 11, 429, 21313, 94054, 5047, 11, 487, 993, 39369, 2520, 13, 207, 2901, 1988, 441, 889, 254, 1585, 1728, 280, 10889, 317, 1132, 60130, 11, 548, 254, 1728, 839, 280, 1462, 2012, 588, 340, 463, 24712, 254, 3502, 280, 16950, 13, 1257, 418, 441, 1673, 32758, 11, 1236, 565, 340, 1006, 768, 441, 13, 487, 207, 2901, 23014, 839, 304, 1023, 330, 9436, 11, 487, 993, 429, 21313, 94054, 13, 207, 2901, 1988, 3111, 254, 16531, 280, 4429, 2786, 614, 11, 975, 359, 441, 558, 1225, 344, 1266, 344, 438, 4770, 285, 7289, 2786, 1452, 327, 2647, 636, 280, 14901, 12, 25914, 30, 487, 207, 2901, 1385, 975, 11, 487, 993, 39369, 2520, 13, 207, 2901, 549, 11626, 280, 9501, 60100, 2977, 330, 22268, 46000, 11, 5068, 1401, 372, 565, 359, 661, 441, 803, 13, 1474, 276, 1108, 2507, 395, 418, 49983, 13, 100001, 4160, 450, 1132, 614, 331, 366, 254, 8398, 395, 463, 17070, 0, 487, 429, 2607, 4540, 937, 2302, 473, 254, 3870, 6182, 285, 473, 254, 4837, 285, 3061, 254, 4559, 5135, 254, 417, 6570, 13, 8427, 23280, 5496, 1085, 1240, 12, 8022, 326, 13, 429, 4281, 661, 845, 11, 2571, 359, 661, 38780, 4435, 254, 40806, 280, 254, 1843, 26, 548, 372, 657, 19354, 636, 473, 254, 13423, 280, 254, 17188, 285, 4133, 11348, 276, 254, 54731, 280, 50316, 261, 254, 9539, 438, 1592, 3074, 11, 285, 245, 15200, 2156, 438, 1090, 254, 17864, 16785, 13, 17514, 2481, 359, 745, 71046, 285, 24698, 1313, 3438, 12, 10794, 271, 12789, 13, 4754, 5079, 22241, 366, 70851, 29493, 11, 14108, 276, 704, 5393, 3264, 254, 16754, 13, 100001, 2901, 549, 1338, 81, 277, 12, 69, 31178, 463, 803, 10145, 786, 254, 8680, 12, 3280, 11, 487, 993, 427, 21313, 18923, 13, 100001, 5490, 19354, 1132, 430, 274, 3244, 16930, 285, 4426, 2373, 1224, 2065, 254, 39584, 786, 768, 13, 429, 4363, 12780, 13259, 11, 1132, 25405, 272, 5135, 254, 2201, 11, 285, 279, 895, 6159, 11041, 2156, 254, 40373, 11387, 12, 7632, 8728, 285, 7276, 837, 245, 5505, 14518, 5532, 13, 1955, 661, 59295, 327, 742, 2685, 3821, 473, 254, 41654, 280, 254, 16672, 754, 657, 12419, 3345, 276, 254, 417, 6570, 13, 9055, 45021, 7279, 35503, 1224, 276, 1066, 254, 8144, 7308, 279, 84215, 24675, 914, 1439, 1461, 69139, 79291, 13, 69132, 2065, 254, 5409, 657, 4101, 254, 76595, 280, 47951, 13, 9191, 14495, 778, 6751, 11, 38151, 254, 1313, 1743, 344, 661, 14844, 279, 8680, 279, 437, 1810, 13, 100001, 549, 4559, 57453, 1439, 12698, 44996, 12, 57726, 11, 62302, 895, 1143, 1184, 254, 79291, 276, 254, 8144, 487, 82, 5941, 11, 285, 581, 1310, 2065, 254, 3572, 2387, 13, 2960, 8080, 393, 248, 23771, 2815, 10243, 9215, 2730, 12, 36474, 306, 4177, 292, 6248, 1910, 11, 384, 359, 4759, 8387, 276, 768, 26, 327, 254, 417, 6570, 661, 2647, 803, 245, 1810, 2201, 280, 254, 19482, 285, 69503, 280, 2354, 2065, 18134, 26, 548, 1132, 657, 778, 13117, 13, 429, 17649, 280, 254, 5545, 778, 3308, 6989, 11, 245, 10922, 9974, 280, 82930, 285, 14518, 8151, 13, 100001, 2901, 1567, 317, 3261, 245, 51882, 1810, 11, 487, 993, 427, 21313, 18923, 13, 207, 2901, 2640, 36914, 643, 330, 54226, 254, 8144, 30, 8410, 4770, 2012, 10898, 8379, 643, 16298, 25, 643, 362, 77668, 254, 30684, 280, 2128, 255, 1653, 30, 487, 207, 2901, 3139, 359, 744, 1751, 11, 487, 993, 39369, 2520, 13, 100001, 2901, 60345, 0, 487, 993, 429, 21313, 94054, 13, 207, 2901, 27856, 395, 1452, 437, 1143, 11, 1066, 254, 1338, 81, 277, 12, 35743, 83472, 558, 1313, 1207, 433, 7260, 280, 254, 5231, 30, 487, 207, 2901, 1567, 317, 769, 1143, 11, 487, 993, 39369, 2520, 13, 207, 2901, 38, 10126, 625, 317, 254, 3467, 280, 520, 1743, 26, 548, 340, 2786, 1019, 344, 430, 2754, 254, 47951, 280, 254, 14499, 536, 441, 83472, 768, 13, 809, 317, 366, 704, 3997, 11, 254, 2489, 5508, 11, 344, 657, 2785, 704, 29688, 25, 1108, 6031, 317, 254, 19422, 280, 704, 2447, 13, 15512, 0, 487, 1955, 19354, 1224, 276, 254, 8144, 11, 285, 372, 657, 2373, 254, 47951, 23832, 704, 76595, 285, 1906, 5078, 2302, 13, 43489, 7276, 331, 768, 7123, 39369, 2520, 279, 254, 12780, 11, 285, 37134, 43745, 586, 7569, 25288, 837, 11041, 13, 429, 33819, 5079, 855, 276, 254, 317, 1162, 11, 285, 52813, 3545, 12835, 768, 65318, 326, 473, 254, 25851, 280, 254, 13716, 13, 100001, 2901, 9610, 0, 487, 993, 39369, 2520, 13, 207, 2901, 53633, 463, 8305, 10039, 1285, 13, 487, 1308, 657, 3505, 344, 279, 254, 19480, 280, 254, 2488, 302, 245, 58651, 438, 49709, 11, 7987, 271, 366, 18134, 11, 285, 845, 786, 366, 1313, 68487, 13, 100001, 2901, 4898, 9279, 521, 254, 10889, 280, 254, 5231, 344, 7276, 3345, 437, 1810, 11, 487, 993, 39369, 2520, 13, 100001, 2901, 4898, 1632, 768, 1610, 0, 487, 993, 427, 21313, 269, 1322, 13, 207, 2901, 2280, 754, 704, 68487, 463, 813, 56812, 285, 428, 12504, 11, 1234, 1592, 975, 704, 58651, 2039, 285, 6839, 254, 417, 6570, 280, 2128, 255, 0, 487, 207, 2901, 3110, 437, 520, 830, 839, 11, 39369, 2520, 11, 601, 2138, 30, 487, 993, 429, 21313, 94054, 13, 207, 2901, 2054, 18228, 1266, 279, 274, 6787, 285, 245, 2653, 0, 487, 207, 2901, 3220, 254, 1345, 280, 37134, 43745, 207, 891, 285, 3072, 11, 487, 993, 39369, 2520, 13, 207, 2901, 40, 19354, 4311, 285, 2367, 13, 1474, 1285, 13869, 254, 58651, 304, 543, 1481, 437, 327, 520, 5186, 25, 1313, 7276, 279, 254, 29244, 280, 254, 417, 6570, 11, 548, 17966, 853, 94675, 1401, 768, 13, 4600, 778, 22354, 853, 778, 38251, 26, 304, 15629, 2854, 521, 344, 304, 1027, 1275, 13, 4754, 1743, 304, 2143, 366, 70304, 15058, 280, 5653, 11788, 276, 6417, 12256, 4138, 20254, 13, 4754, 304, 845, 276, 1099, 437, 45448, 13, 1955, 463, 1132, 5496, 520, 76331, 11, 86933, 30428, 13, 304, 2143, 857, 366, 1313, 433, 7260, 276, 3763, 256, 281, 13, 10898, 8379, 304, 4437, 661, 69871, 586, 2201, 6313, 2481, 340, 11, 285, 586, 20595, 661, 4540, 12159, 473, 521, 750, 80776, 285, 5418, 276, 62220, 487, 82, 20593, 25, 254, 19369, 4759, 7137, 280, 14924, 26, 2618, 304, 26619, 344, 34488, 12, 3736, 408, 285, 571, 54127, 15170, 1667, 10502, 39786, 276, 3939, 319, 17667, 11, 1477, 359, 438, 65368, 2623, 13, 1474, 1132, 304, 1378, 340, 933, 441, 5663, 25, 340, 543, 1275, 520, 2558, 276, 9335, 520, 972, 13, 487, 3220, 344, 254, 2607, 993, 38152, 276, 254, 9859, 285, 254, 58651, 11, 285, 5079, 855, 254, 8144, 11, 285, 32545, 254, 3572, 6185, 13, 2928, 657, 19354, 331, 11, 7684, 276, 463, 2116, 254, 70851, 417, 6570, 13, 1733, 657, 2674, 254, 76595, 280, 254, 47951, 11564, 636, 59306, 13, 100001, 2960, 438, 274, 10641, 28558, 344, 7279, 1224, 473, 2128, 1227, 494, 276, 254, 64146, 13, 1494, 742, 1143, 359, 3061, 895, 2629, 13869, 254, 8144, 11, 34424, 366, 359, 12450, 285, 937, 8687, 26, 548, 430, 254, 1562, 359, 4540, 2302, 285, 2674, 6044, 5135, 254, 18318, 280, 2128, 1227, 494, 26, 285, 1069, 778, 1090, 254, 11072, 12, 2727, 279, 254, 11348, 280, 254, 17432, 11, 34550, 6593, 410, 691, 473, 895, 8602, 13, 1002, 4559, 657, 5496, 548, 657, 1216, 441, 10502, 2065, 359, 26, 327, 254, 3419, 13869, 359, 438, 6174, 285, 2258, 11, 7665, 327, 1313, 6593, 786, 366, 2577, 64127, 44996, 13, 1955, 19354, 1132, 691, 35503, 11, 285, 457, 23731, 254, 417, 6570, 778, 6128, 4047, 41519, 4435, 13, 2928, 657, 41639, 11, 15592, 704, 2653, 487, 82, 8398, 11, 327, 254, 5047, 438, 25761, 13, 1955, 778, 1865, 276, 254 ]

[ 100000, 279, 254, 5653, 280, 14901, 12, 25914, 13, 2928, 362, 15188, 586, 5724, 331, 254, 3419, 11, 285, 2659, 1224, 279, 12114, 13, 100001, 3567, 344, 2780, 473, 2367, 842, 254, 5409, 20010, 276, 704, 12734, 14501, 254, 76595, 280, 47951, 13, 9614, 254, 40364, 3805, 279, 5663, 11, 285, 7421, 27376, 276, 586, 2387, 285, 22112, 26380, 276, 857, 13, 100001, 2901, 4453, 441, 1632, 857, 1409, 2302, 0, 487, 993, 15364, 283, 348, 13, 207, 2901, 1385, 3354, 344, 395, 2786, 933, 857, 1592, 11, 565, 254, 47951, 536, 441, 1275, 450, 13, 1724, 304, 12772, 437, 34637, 7434, 0, 487, 1063, 67958, 285, 20288, 581, 245, 2317, 8665, 362, 4733, 359, 2367, 881, 254, 4426, 2354, 13, 100001, 549, 8665, 35638, 366, 245, 2838, 57554, 26, 548, 430, 254, 1246, 7315, 745, 438, 245, 1971, 844, 285, 245, 26113, 13, 6982, 16164, 6513, 19352, 9163, 331, 254, 5438, 636, 5897, 1066, 254, 8665, 661, 14844, 11, 285, 657, 6937, 9405, 5135, 254, 4414, 280, 254, 34483, 13, 16535, 4435, 254, 11394, 11, 548, 280, 1874, 1979, 13, 304, 608, 10297, 280, 254, 7434, 13, 100001, 7390, 487, 83, 17969, 359, 0, 487, 207, 2901, 40, 4796, 395, 1027, 752, 2302, 0, 487, 993, 50762, 13, 100001, 2901, 6568, 2845, 487, 83, 39369, 2520, 536, 1874, 3399, 30, 487, 993, 375, 12082, 246, 13, 100001, 38, 384, 2520, 3061, 642, 6473, 280, 768, 13, 1063, 2659, 366, 586, 1917, 31788, 11, 2818, 279, 22553, 410, 279, 17177, 2215, 13, 429, 70851, 76595, 280, 254, 47951, 438, 4101, 1310, 13, 429, 16164, 2589, 331, 254, 2354, 10318, 285, 2373, 11765, 26, 742, 778, 2571, 284, 5540, 331, 254, 14450, 13, 100001, 3220, 245, 6363, 1465, 344, 37728, 768, 521, 254, 43424, 27376, 276, 586, 5144, 13, 1063, 438, 19640, 0, 207, 2901, 40, 463, 359, 0, 487, 362, 7899, 13, 207, 2901, 4112, 2629, 11, 280, 2629, 0, 25235, 15087, 326, 2976, 11, 837, 1094, 80001, 878, 754, 340, 1019, 254, 3510, 13, 487, 375, 20594, 581, 586, 5724, 362, 6626, 1323, 254, 6796, 285, 993, 279, 245, 3662, 5136, 25, 50929, 249, 0, 429, 5395, 34597, 636, 20358, 285, 37583, 1310, 13, 2928, 34033, 245, 1228, 39385, 438, 28526, 11, 2451, 441, 245, 14788, 410, 9593, 661, 803, 9200, 1323, 13, 80809, 359, 13429, 279, 254, 6516, 285, 39655, 636, 2849, 15174, 457, 15174, 11, 2645, 1572, 11394, 2762, 1062, 2481, 254, 4239, 13, 13873, 254, 7783, 245, 67029, 24221, 1027, 330, 2826, 26802, 19547, 326, 581, 26, 548, 5897, 254, 3927, 5610, 254, 16342, 438, 16244, 853, 254, 2653, 13, 429, 7947, 30298, 279, 3860, 13, 100001, 2901, 40, 438, 4360, 1166, 521, 11, 487, 993, 39369, 2520, 11, 207, 2901, 384, 65771, 807, 1653, 13, 50762, 11, 280, 521, 1245, 11, 438, 331, 254, 1329, 4184, 13, 429, 7783, 1734, 438, 71705, 331, 254, 3949, 1411, 521, 254, 766, 0, 429, 13858, 1023, 463, 803, 25, 20143, 207, 2901, 2901, 29758, 56988, 285, 5223, 13, 304, 661, 889, 276, 3753, 254, 1473, 85, 844, 1734, 327, 2138, 285, 254, 11394, 6899, 13, 47836, 2976, 13, 26322, 2976, 327, 245, 7213, 63618, 12, 5738, 279, 1069, 29286, 2507, 13, 12131, 778, 32740, 2602, 13, 4201, 1632, 450, 614, 0, 487, 1063, 75809, 4312, 285, 845, 586, 4414, 331, 254, 13740, 3458, 13, 1474, 430, 344, 2780, 2971, 2012, 6628, 13, 21675, 2860, 4749, 1874, 39302, 857, 457, 254, 39297, 11, 285, 362, 7276, 366, 245, 5778, 13, 9614, 254, 40364, 4366, 245, 6763, 5345, 280, 5663, 11, 285, 4540, 9960, 285, 18238, 2302, 2726, 254, 32247, 546, 881, 254, 16342, 13, 7421, 44893, 1166, 857, 11, 285, 937, 10921, 21675, 2860, 487, 82, 5778, 362, 7279, 1062, 1310, 11, 43646, 285, 94740, 13, 429, 3072, 39655, 4078, 285, 3505, 254, 14585, 280, 254, 14940, 386, 1739, 11, 372, 565, 245, 3697, 280, 56013, 778, 18884, 581, 473, 254, 18034, 1225, 13, 100001, 5069, 473, 254, 2354, 245, 1234, 252, 96656, 17727, 6471, 661, 68759, 26, 359, 438, 14211, 12, 12361, 285, 49808, 285, 12969, 13, 9904, 42910, 1883, 1225, 661, 2785, 280, 21675, 2860, 487, 82, 4414, 11, 285, 438, 37331, 857, 881, 254, 2354, 13, 7421, 331, 586, 20661, 438, 1132, 1906, 5693, 430, 359, 366, 245, 19340, 13, 100001, 549, 5868, 1632, 614, 280, 21675, 2860, 11, 285, 7421, 13258, 857, 2302, 11, 24302, 636, 327, 1345, 13, 43928, 750, 7921, 2373, 16164, 6513, 636, 13, 429, 4426, 2354, 1888, 13, 433, 24777, 768, 473, 254, 20040, 344, 4759, 276, 463, 36562, 521, 548, 7421, 276, 254, 3419, 1066, 657, 6626, 11, 362, 17354, 768, 4312, 13, 100001, 5490, 778, 953, 279, 766, 13, 7421, 285, 21675, 2860, 778, 889, 245, 1860, 5610, 581, 11, 285, 39369, 2520, 661, 953, 17070, 276, 23170, 11, 754, 254, 75400, 272, 17727, 13769, 2821, 874, 3246, 254, 9745, 14450, 285, 42910, 1883, 254, 34483, 12, 11449, 285, 254, 11394, 13, 3474, 2373, 1661, 28689, 2237, 855, 254, 12100, 11, 91660, 279, 254, 5395, 12, 2156, 13, 39369, 2520, 4540, 285, 24882, 13, 1273, 362, 438, 9605, 856, 1734, 744, 3415, 254, 8364, 1310, 473, 2383, 11, 745, 438, 642, 933, 13, 8410, 980, 5969, 7921, 20760, 254, 11394, 331, 2818, 2387, 11, 285, 366, 22319, 6313, 11, 39655, 768, 4078, 13, 2991, 245, 467, 12568, 6393, 657, 78253, 11, 285, 521, 2156, 438, 4739, 13, 338, 6565, 280, 5961, 272, 285, 43147, 2373, 263, 25871, 1184, 254, 39669, 625, 8665, 13, 100001, 22407, 11, 58572, 276, 21675, 2860, 487, 82, 5868, 11, 43340, 331, 245, 3458, 279, 254, 3438, 16342, 13, 207, 2901, 36859, 1712, 9614, 0, 487, 362, 993, 279, 245, 75231, 5136, 13, 207, 2901, 36859, 1712, 9614, 0, 87737, 285, 56013, 0, 1474, 254, 56013, 778, 1653, 1266, 327, 857, 13, 304, 661, 276, 4352, 11, 2195, 13, 21675, 2860, 13, 304, 661, 276, 1865, 366, 340, 13, 487, 1955, 4101, 39369, 2520, 614, 1062, 1224, 254, 5610, 285, 23773, 586, 5724, 2481, 254, 11394, 13, 2071, 438, 245, 36887, 279, 254, 8665, 285, 254, 20706, 46416, 11, 548, 254, 11394, 1216, 441, 1721, 13, 100001, 2901, 6636, 11, 1136, 0, 487, 993, 254, 43424, 13, 207, 2901, 549, 13108, 317, 19283, 4435, 450, 1132, 11, 285, 745, 317, 889, 634, 1143, 636, 207, 891, 331, 254, 750, 2387, 280, 254, 273, 4191, 12, 244, 2208, 13, 304, 5663, 473, 254, 7642, 344, 90474, 463, 803, 49709, 581, 11, 285, 254, 7636, 63308, 6148, 285, 13188, 3246, 254, 8364, 13, 304, 608, 11547, 26, 327, 254, 7636, 778, 4171, 11, 285, 661, 6626, 558, 1234, 13, 487, 207, 2901, 40, 4749, 344, 1874, 22319, 438, 3345, 473, 254, 2780, 344, 601, 4414, 1022, 17282, 254, 2354, 11, 487, 993, 21675, 2860, 13, 207, 2901, 2640, 438, 254, 2421, 11, 410, 778, 745, 1313, 280, 768, 30, 487, 207, 2901, 40, 536, 441, 1006, 11, 487, 7589, 39369, 2520, 26, 207, 2901, 2381, 254, 7921, 778, 521, 24732, 457, 634, 5487, 13, 22494, 643, 39262, 11, 410, 643, 803, 11516, 636, 280, 4426, 14585, 1090, 254, 14499, 13, 2071, 418, 8097, 285, 3941, 2580, 2012, 853, 2489, 5508, 279, 254, 4399, 6171, 280, 254, 1843, 13, 487, 1063, 1216, 441, 3753, 30294, 586, 2215, 344, 6851, 359, 438, 344, 48066, 279, 254, 14940, 11, 359, 661, 20760, 331, 21675, 2860, 1022, 3264, 521, 254, 7947, 13, 100001, 59540, 283, 348, 35351, 1090, 586, 9004, 11, 548, 254, 91878, 8665, 7332, 72, 12, 267, 1052, 254, 3066, 276, 245, 70308, 28174, 344, 521, 1027, 4704, 25, 207, 2901, 774, 254, 4399, 6171, 280, 254, 1843, 0, 1308, 44081, 395, 418, 1872, 2481, 601, 4796, 13, 8886, 543, 2023, 450, 1132, 279, 437, 27661, 4426, 30, 487, 207, 2901, 40, 543, 11, 487, 993, 39369, 2520, 11, 207, 2901, 384, 65771, 807, 2786, 3667, 366, 525, 13, 23028, 601, 5724, 2081, 487, 20205, 48908, 20808, 23489, 2420, 2392, 394, 672, 11281, 19308, 11, 247, 17058, 5116, 37300, 384, 26975, 26, 285, 430, 254, 1869, 657, 1503, 274, 77445, 13108, 366, 245, 2258, 6597, 5881, 331, 881, 254, 4426, 13, 100001, 2901, 4160, 450, 2097, 285, 1610, 285, 463, 1874, 276, 6540, 11, 1285, 331, 254, 20918, 11, 1962, 395, 481, 487, 83, 1275, 245, 12713, 12, 3179, 0, 487, 993, 21675, 2860, 13, 1063, 661, 17070, 276, 22689, 842, 254, 11845, 280, 254, 41390, 272, 5868, 11, 285, 8963, 362, 4749, 7999, 21416, 13, 100001, 549, 15604, 438, 28652, 457, 521, 26, 285, 657, 2659, 1224, 331, 254, 6909, 5610, 11, 4165, 10742, 279, 254, 22569, 13, 4128, 657, 661, 25000, 11, 39369, 2520, 4366, 768, 1319, 245, 4443, 59513, 280, 254, 7552, 12592, 256, 280, 36554, 409, 488, 13, 100001, 2901, 1385, 543, 441, 1562, 1266, 4172, 11, 304, 608, 10297, 11, 487, 362, 993, 26, 207, 2901, 2381, 304, 1378, 395, 933, 359, 1166, 344, 20040, 430, 254, 8364, 13, 1308, 6838, 395, 463, 1228, 7767, 11, 395, 2786, 933, 521, 344, 317, 2116, 1323, 395, 1019, 254, 750, 2387, 0, 3659, 10654, 366, 254, 2354, 11, 1653, 0, 2071, 418, 1313, 21410, 285, 45176, 279, 254, 78096, 11, 548, 657, 1023, 441, 330, 17282, 13, 1003, 975, 441, 463, 245, 5518, 280, 16912, 769, 40710, 285, 25209, 6309, 395, 1865, 1224, 881, 16865, 48687, 35187, 13, 487, 207, 2901, 2819, 1234, 317, 344, 1872, 276, 1529, 450, 30, 487, 3637, 21675, 2860, 13, 100001, 2901, 40, 2977, 1481, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 1385, 7273, 331, 1313, 16609, 13, 1474, 1872, 6044, 11, 1673, 62169, 373, 410, 13916, 769, 1143, 11, 395, 2786, 1529, 1853, 410, 2685, 82305, 11, 304, 2162, 13, 809, 2977, 330, 2246, 853, 17205, 6593, 473, 5653, 12, 4167, 276, 7952, 12, 10771, 279, 245, 1713, 1353, 11, 285, 254, 4559, 975, 5409, 1266, 13, 487, 4128, 889, 245, 8749, 1610, 657, 3805, 331, 704, 1143, 1310, 13, 2428, 778, 14160, 276, 752, 254, 8398, 855, 372, 5397, 372, 2198, 11, 285, 778, 9807, 11, 13400, 372, 657, 778, 11, 276, 614, 331, 44352, 1592, 327, 2971, 3821, 13, 39369, 2520, 10408, 279, 3865, 372, 1323, 13, 685, 586, 2116, 1297, 362, 4586, 581, 586, 70673, 272, 5724, 11, 254, 2156, 280, 588, 953, 7363, 254, 3419, 1323, 586, 5144, 26, 279, 586, 1329, 362, 4586, 586, 16356, 4771, 10927, 1088, 13, 43568, 857, 2373, 65771, 807, 11, 586, 3545, 1656, 572, 272, 279, 254, 4165, 2156, 372, 362, 4540, 586, 1917, 473, 2387, 276, 2387, 13, 100001, 69313, 254, 33466, 10408, 21675, 2860, 11, 285, 362, 661, 10237, 254, 2577, 16356, 11, 900, 272, 13, 2366, 53353, 2373, 473, 254, 42338, 280, 900, 272, 410, 280, 4771, 10927, 1088, 26, 285, 344, 438, 742, 5186, 11, 327, 1435, 254, 830, 280, 1473, 85, 844, 62581, 82, 279, 254, 45316, 25452, 1069, 44914, 34597, 366, 245, 6159, 2156, 11, 565, 688, 2489, 5508, 778, 3345, 430, 1297, 13, 43568, 21675, 2860, 2674, 7421, 11, 285, 1166, 857, 8427, 23280, 11, 285, 254, 2823, 38501, 11834, 11, 285, 15364, 283, 348, 13, 685, 254, 4426, 430, 254, 13623, 11, 28034, 285, 13117, 11, 10408, 52334, 1752, 13, 100001, 549, 13108, 25852, 4078, 245, 1860, 9236, 11, 285, 937, 4732, 276, 17331, 13, 100001, 1385, 2674, 28150, 1224, 327, 245, 1234, 1477, 1323, 359, 5322, 2258, 2561, 1310, 13, 429, 3207, 10318, 3550, 285, 67507, 2237, 11, 548, 359, 438, 441, 34637, 11, 285, 430, 2602, 657, 4749, 20408, 280, 32573, 3207, 2065, 704, 12472, 11, 42895, 473, 3222, 12, 3441, 24011, 45657, 279, 254, 9906, 13, 2071, 778, 1313, 280, 1069, 13, 685, 254, 14211, 25243, 280, 254, 43424, 487, 82, 5724, 11, 21675, 2860, 9317, 79080, 280, 20706, 285, 56142, 11, 285, 280, 750, 31273, 285, 64156, 11, 74676, 581, 11, 410, 3268, 38, 309, 807, 48779, 39369, 2520, 1079, 1585, 11, 5085, 457, 586, 33976, 15035, 13, 2803, 2754, 362, 438, 441, 11, 372, 778, 1094, 280, 254, 3072, 11, 27484, 457, 254, 12596, 16342, 279, 3964, 13, 28862, 254, 43424, 42985, 857, 430, 3487, 1066, 254, 4858, 280, 1143, 438, 37324, 26, 548, 359, 438, 1958, 39369, 2520, 779, 661, 254, 2328, 1734, 13, 429, 78096, 280, 364, 6045, 778, 10999, 285, 44215, 5897, 254, 18540, 280, 65771, 807, 11, 452, 789, 21313 ]

[ 100000, 19369, 5897, 11, 285, 937, 657, 4540, 8687, 2849, 11, 285, 5079, 855, 254, 26922, 280, 15612, 1569, 13, 429, 15612, 75, 409, 791, 24517, 285, 17508, 4449, 11, 327, 657, 778, 10297, 280, 1473, 85, 844, 22503, 11, 2451, 1860, 6031, 2647, 2373, 276, 704, 3085, 26, 548, 254, 38372, 1216, 441, 35871, 768, 11, 327, 657, 778, 1592, 245, 1228, 2607, 285, 778, 1136, 4286, 366, 521, 344, 657, 4067, 26, 285, 657, 2674, 331, 704, 1143, 430, 704, 24084, 11, 5007, 581, 704, 40384, 754, 657, 744, 13, 100001, 2921, 254, 22276, 393, 2507, 1305, 704, 1629, 272, 473, 254, 24288, 657, 61774, 271, 11844, 881, 254, 1721, 3085, 430, 84226, 709, 657, 98252, 274, 1712, 668, 31033, 331, 245, 5724, 11, 285, 362, 438, 51914, 279, 65395, 280, 14518, 410, 19969, 3682, 11, 285, 430, 586, 28423, 2674, 1913, 63288, 11, 1906, 3909, 272, 285, 92174, 13, 100001, 2901, 6636, 10898, 8379, 0, 487, 993, 39369, 2520, 13, 207, 2901, 9595, 418, 340, 1872, 30, 487, 207, 2901, 2640, 317, 344, 276, 340, 30, 487, 362, 7589, 13, 207, 2901, 10783, 340, 1592, 1835, 601, 614, 791, 11, 285, 418, 340, 441, 3093, 366, 601, 22204, 30, 487, 207, 2901, 2054, 1006, 254, 9789, 11, 487, 993, 39369, 2520, 25, 207, 2901, 2470, 285, 642, 13, 1474, 279, 688, 1460, 254, 766, 280, 601, 66102, 1132, 24259, 276, 274, 1225, 13, 429, 5047, 643, 3443, 331, 254, 18953, 13, 1273, 340, 661, 17493, 430, 35100, 863, 11, 340, 744, 463, 2826, 857, 11, 285, 362, 744, 463, 3707, 340, 16533, 285, 21950, 13, 487, 207, 2901, 4631, 521, 254, 691, 2806, 276, 463, 2116, 19026, 11, 487, 993, 10898, 8379, 26, 207, 2901, 1467, 304, 8836, 8533, 280, 857, 13, 13788, 565, 340, 4796, 327, 274, 3510, 276, 520, 1022, 2512, 11, 304, 608, 12489, 245, 1143, 636, 280, 586, 26210, 13, 487, 207, 2901, 4631, 2561, 691, 340, 418, 1872, 254, 4360, 1143, 11, 487, 993, 39369, 2520, 11, 207, 2901, 384, 304, 1019, 642, 3655, 279, 520, 8398, 13, 1474, 543, 340, 31594, 769, 1345, 30, 1494, 395, 3685, 359, 276, 340, 13, 487, 207, 2901, 1898, 525, 30, 487, 993, 10898, 8379, 13, 207, 2901, 38157, 11, 7044, 536, 441, 9973, 430, 525, 0, 304, 6050, 520, 58904, 82, 13, 1308, 372, 327, 254, 10850, 1285, 11, 304, 536, 441, 5442, 711, 25, 838, 1958, 29738, 525, 11, 285, 3959, 2026, 327, 520, 697, 13, 304, 536, 441, 5914, 344, 838, 643, 4832, 340, 437, 1143, 276, 463, 254, 9910, 280, 307, 789, 1130, 855, 601, 20388, 13, 100001, 31773, 304, 803, 24761, 280, 520, 25595, 11, 304, 744, 463, 15724, 340, 254, 9910, 13, 487, 207, 2901, 35440, 8379, 11, 487, 993, 7646, 308, 20856, 11, 207, 2901, 832, 463, 750, 80776, 285, 750, 24501, 344, 1751, 276, 450, 691, 31958, 853, 19386, 327, 340, 13, 20143, 3272, 344, 340, 418, 86359, 457, 1207, 16531, 26, 327, 1132, 340, 463, 245, 1562, 5518, 13, 487, 207, 2901, 1847, 359, 330, 8099, 254, 1562, 11, 304, 608, 7684, 11, 487, 993, 10898, 8379, 26, 207, 2901, 1467, 304, 2786, 330, 43718, 254, 8168, 280, 43089, 359, 1310, 13, 2428, 601, 14388, 418, 32494, 11, 548, 304, 744, 441, 4127, 12726, 13, 1273, 340, 463, 688, 13, 487, 1494, 245, 2780, 586, 3545, 78293, 13, 207, 2901, 7350, 0, 487, 362, 993, 13, 207, 2901, 40, 1216, 441, 7594, 1234, 3437, 331, 1069, 10146, 327, 66003, 13, 1257, 463, 49983, 39872, 11, 285, 340, 1006, 359, 13, 1308, 359, 543, 8296, 525, 742, 5186, 372, 304, 34730, 276, 1378, 344, 340, 13258, 1224, 520, 1377, 2558, 754, 340, 16298, 7207, 13, 1308, 1132, 11, 856, 5225, 543, 8982, 340, 1062, 3246, 558, 5505, 245, 5532, 30, 487, 362, 76124, 13, 207, 2901, 1385, 543, 330, 245, 14518, 5225, 11, 285, 2201, 280, 46049, 13, 487, 1063, 14032, 11, 548, 586, 5136, 438, 40095, 285, 49255, 13, 100001, 2901, 3118, 581, 11, 340, 47672, 0, 487, 362, 25455, 276, 254, 750, 63288, 11, 779, 661, 2659, 1224, 331, 254, 3419, 26, 285, 362, 11921, 857, 366, 586, 5724, 13, 207, 2901, 24422, 786, 0, 1273, 1069, 4035, 22503, 418, 1872, 769, 1143, 11, 937, 395, 543, 1529, 1913, 13, 4488, 331, 11, 410, 304, 487, 647, 2102, 340, 642, 28075, 327, 520, 23374, 0, 487, 429, 63288, 4540, 285, 1906, 34607, 2882, 376, 45755, 272, 25, 207, 2901, 36859, 1712, 2414, 21313, 18700, 736, 0, 30302, 1712, 2414, 21313, 18700, 736, 0, 22424, 26354, 285, 52040, 13, 1724, 304, 12772, 857, 0, 304, 4796, 304, 1027, 4283, 857, 0, 487, 56273, 430, 39369, 2520, 11, 285, 937, 58088, 1215, 5397, 2882, 4435, 10898, 8379, 13, 100001, 2124, 254, 31130, 5696, 5079, 457, 254, 2607, 657, 2373, 276, 254, 38501, 11834, 11, 285, 10898, 8379, 8583, 285, 30298, 430, 768, 26, 548, 657, 4133, 430, 857, 366, 20615, 13, 100001, 2901, 3139, 340, 463, 1865, 276, 307, 58296, 1653, 11, 463, 340, 11, 601, 207, 3617, 1233, 30, 487, 362, 993, 13, 100001, 2901, 2054, 1113, 487, 83, 2062, 856, 245, 63288, 37259, 11, 536, 340, 30, 1494, 340, 463, 521, 340, 1121, 11, 3427, 285, 4035, 11445, 11, 285, 254, 1608, 41775, 327, 520, 28761, 13, 7148, 5348, 11, 304, 1006, 0, 304, 1006, 1066, 359, 3450, 473, 13, 1257, 744, 441, 2102, 245, 14892, 1086, 276, 245, 63288, 11, 744, 340, 30, 487, 207, 2901, 40, 744, 11, 565, 304, 661, 688, 11, 487, 993, 21675, 2860, 13, 100001, 2901, 2054, 481, 463, 856, 304, 463, 2149, 2116, 11, 487, 993, 50762, 11, 207, 2901, 351, 340, 543, 3825, 245, 2780, 13, 487, 1063, 2149, 1224, 285, 21354, 279, 254, 8870, 430, 586, 25449, 13, 2928, 362, 20475, 276, 10898, 8379, 245, 14648, 62573, 13, 207, 2901, 15004, 856, 745, 317, 11, 487, 362, 993, 13, 100001, 2901, 2054, 418, 9335, 276, 359, 26, 359, 2373, 473, 254, 1278, 1466, 303, 280, 2128, 1227, 494, 13, 487, 207, 2901, 63306, 11, 7207, 11, 5348, 285, 54755, 8939, 0, 487, 7899, 10898, 8379, 11, 41390, 272, 430, 254, 62573, 13, 207, 2901, 1567, 317, 889, 245, 68080, 279, 10728, 26, 327, 340, 3061, 691, 11, 304, 487, 647, 330, 3080, 13, 14070, 11, 245, 63288, 1534, 330, 16770, 11, 565, 245, 39925, 7578, 857, 1236, 245, 76740, 282, 280, 586, 1377, 13, 7384, 11, 359, 543, 5043, 340, 1329, 754, 340, 1865, 1719, 11, 565, 340, 1275, 2012, 2246, 1207, 279, 254, 5178, 18529, 1792, 853, 340, 744, 837, 13, 9055, 975, 520, 3114, 330, 2577, 280, 14568, 2081, 487, 207, 2901, 9101, 340, 0, 487, 993, 50762, 13, 207, 2901, 774, 344, 1460, 304, 543, 463, 601, 62573, 1062, 11, 588, 317, 441, 12726, 285, 643, 8398, 271, 2367, 366, 525, 13, 42374, 254, 41775, 279, 245, 48030, 280, 520, 1377, 13, 487, 207, 2901, 4711, 39925, 28591, 1913, 11, 487, 993, 10898, 8379, 11, 285, 4540, 586, 1062, 331, 50762, 11, 285, 31947, 69447, 86225, 11, 285, 2674, 2302, 5135, 254, 4837, 13, 100001, 2901, 6636, 11, 304, 837, 344, 0, 487, 993, 375, 12082, 246, 13, 207, 2901, 1081, 3334, 6031, 0, 2461, 280, 769, 4351, 327, 1143, 94119, 11, 259, 18610, 11, 285, 410, 66, 12, 34233, 4163, 450, 1184, 50316, 261, 30, 487, 207, 2901, 12817, 0, 487, 993, 7421, 13, 207, 2901, 2280, 8939, 362, 993, 13, 1724, 11, 304, 3860, 30, 1308, 304, 3320, 487, 83, 837, 254, 3066, 280, 856, 362, 993, 786, 254, 5178, 18529, 1792, 13, 809, 487, 82, 766, 395, 2149, 1062, 13, 487, 207, 2901, 40, 487, 76, 2049, 359, 317, 11, 487, 993, 21675, 2860, 13, 207, 2901, 2395, 395, 481, 487, 83, 614, 688, 31557, 11, 565, 395, 418, 276, 1019, 33388, 957, 13, 304, 608, 1872, 276, 36554, 409, 488, 1022, 11, 6851, 7069, 13, 487, 207, 2901, 5661, 11, 304, 1378, 340, 661, 2018, 536, 344, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2395, 42157, 327, 10898, 8379, 0, 304, 5663, 3011, 691, 481, 330, 1401, 280, 857, 13, 1063, 643, 76323, 16369, 13, 2428, 254, 1246, 11, 304, 608, 441, 2049, 344, 18340, 88273, 317, 1329, 25, 304, 14652, 362, 1027, 536, 742, 39869, 1592, 279, 245, 1760, 2059, 1143, 13, 487, 12006, 1492, 657, 2674, 331, 881, 18073, 15612, 1569, 11, 1066, 642, 1743, 1132, 48066, 11, 2451, 359, 438, 245, 5575, 285, 11854, 3085, 13, 7564, 2373, 279, 366, 14544, 2507, 285, 11041, 16919, 11, 285, 657, 19354, 430, 11535, 2645, 657, 6889, 254, 43226, 71812, 8144, 11, 285, 1503, 254, 1712, 64789, 11, 12450, 280, 254, 12795, 2004, 1535, 260, 22353, 3521, 47381, 572, 17116, 776, 7632, 13, 37, 432, 17116, 12211, 3139, 657, 5079, 881, 427, 15392, 11, 285, 430, 1562, 245, 4770, 4421, 80320, 11, 63722, 272, 2330, 64195, 95027, 26, 285, 2709, 473, 704, 3182, 331, 245, 2495, 12967, 254, 38372, 3505, 2302, 279, 254, 12450, 254, 5071, 28160, 1853, 24079, 344, 23773, 581, 881, 254, 9539, 1184, 17864, 16785, 25, 2872, 53813, 7846, 11, 76115, 13846, 296, 11, 285, 28134, 6875, 5086, 13, 1955, 778, 3345, 276, 254, 42166, 280, 364, 6045, 13, 100001, 4898, 1132, 327, 7960, 2507, 657, 16687, 1766, 11, 327, 254, 766, 438, 430, 1297, 327, 1913, 44749, 588, 657, 778, 284, 1034, 276, 1099, 13, 30876, 76115, 13176, 285, 7646, 308, 20856, 285, 704, 22503, 744, 1947, 67089, 11, 285, 558, 1452, 457, 254, 5773, 34321, 22425, 285, 1224, 254, 16865, 48687, 14969, 348, 276, 254, 17535, 75, 738, 285, 276, 704, 1377, 3085, 13, 1955, 661, 8398, 271, 4117, 2367, 457, 254, 11348, 12, 1693, 11, 327, 657, 661, 1266, 276, 3753, 280, 366, 1473, 81, 1089, 285, 366, 39369, 2520, 11, 285, 1285, 657, 63807, 1592, 279, 43984, 366, 704, 3997, 13, 28862, 1234, 1166, 254, 38501, 11834, 778, 19878, 279, 5476, 657, 744, 2097, 2854, 1090, 254, 7524, 11, 54447, 254, 13205, 344, 778, 5418, 285, 521, 704, 48987, 285, 66102, 279, 254, 1843, 11, 410, 9523, 16977, 11, 13159, 254, 2507, 276, 1865, 13, 1273, 688, 18012, 12164, 661, 65507, 276, 1452, 11, 1585, 744, 362, 463, 2826, 410, 4101, 11, 285, 359, 744, 463, 4759, 276, 857, 889, 344, 362, 3505, 14518, 10742, 11, 35352, 279, 8665, 11, 1638, 23871, 280, 15503, 2012, 1132, 4739, 279, 405, 388, 425, 1215, 19369, 13, 100001, 1988, 657, 1216, 441, 2938, 410, 3753, 366, 8602, 11, 2709, 473, 2764, 276, 2764, 26, 285, 889, 704, 25288, 3545, 38087, 285, 78293, 372, 704, 8052, 2674, 276, 285, 9963, 13, 100001, 2395, 430, 3973, 521, 438, 993, 11, 285, 657, 33651, 1310, 327, 245, 1477, 11, 2645, 359, 438, 766, 327, 254, 14863, 61617, 276, 1452, 2302, 13, 85656, 44582, 881, 254, 18134, 285, 254, 25851, 254, 14518, 12, 43078, 8910, 1245, 280, 7980, 21313, 19646, 19354, 5135, 254, 14499, 26, 285, 1462, 779, 778, 1872, 276, 36554, 409, 488, 2659, 331, 254, 12967, 285, 12835, 11, 2645, 745, 2373, 636, 280, 254, 20190, 6389, 245, 11018, 26, 285, 937, 657, 3505, 642, 691, 13, 21675, 2860, 4437, 344, 7646, 308, 20856, 661, 4586, 63532, 711, 7987, 279, 10728, 280, 38152, 13, 100001, 22407, 4540, 2302, 285, 34456, 25, 207, 2901, 40, 4796, 304, 438, 1872, 1062, 276, 7980, 21313, 4397, 255, 0, 487, 2803, 1562, 634, 6787, 657, 2373, 855, 254, 1461, 8065, 715, 11, 8963, 372, 276, 38372, 359, 1958, 4759, 11, 276, 254, 63330, 280, 254, 4399, 17432, 280, 36554, 409, 488, 285, 3505, 2367, 2877, 254, 30842, 25288, 279, 1473, 81, 1089, 487, 82, 2558, 13, 100001, 2280, 657, 2674, 1224, 285, 17033, 254, 10175, 285, 2373, 276, 254, 11394, 11, 285, 521, 254, 2558, 438, 8148, 366, 2156, 285, 5654, 327, 8810, 430, 1473, 81, 1089, 487, 82, 1719, 7015, 13, 100001, 6306, 280, 521, 11, 1323, 657, 661, 25000, 410, 26829, 410, 1236, 20123, 704, 25985, 8667, 11, 254, 38501, 11834, 2674, 279, 3365, 280, 33388, 957, 13, 1955, 1503, 857, 521, 5254, 279, 586, 1585, 2563, 13, 809, 438, 11769, 5660, 366, 10142, 285, 15517, 285, 72643, 26, 548, 33388, 957, 438, 9368, 279, 245, 8653, 1323, 245, 1760, 6464, 4043, 13, 1063, 4133, 1079, 1712, 11, 548, 24177, 11, 285, 53730, 13, 100001, 2450 ]

[ 100000, 1492, 9765, 26, 285, 754, 254, 5071, 438, 5418, 285, 254, 4078, 20992, 19354, 9405, 2330, 254, 95027, 280, 1308, 63454, 285, 267, 811, 69133, 1184, 254, 85010, 8242, 11, 21675, 2860, 285, 7421, 2659, 1090, 254, 67622, 7636, 18872, 254, 41767, 280, 4770, 94921, 296, 2008, 26, 285, 657, 13364, 4399, 881, 254, 2653, 366, 50762, 285, 375, 12082, 246, 285, 39369, 2520, 11, 285, 1166, 245, 1477, 8427, 23280, 285, 65771, 807, 10213, 768, 13, 2071, 21675, 2860, 285, 7421, 7213, 1266, 280, 521, 344, 661, 6628, 276, 254, 7947, 1166, 704, 40799, 438, 7488, 331, 254, 11626, 1492, 430, 3126, 393, 7646, 255, 457, 433, 1774, 4177, 28285, 26, 285, 1592, 745, 438, 1958, 691, 276, 2088, 285, 691, 276, 2410, 13, 100001, 46, 2619, 82, 11, 285, 6807, 7636, 11, 285, 41519, 280, 11387, 11, 285, 99301, 33819, 11, 285, 52813, 52441, 11, 285, 3682, 33549, 285, 14544, 44397, 11, 285, 29244, 11, 285, 8670, 15007, 30382, 11, 521, 1069, 5079, 1323, 7421, 487, 82, 2764, 2645, 362, 4749, 58312, 13, 1474, 41270, 521, 1069, 32260, 362, 5651, 1958, 276, 586, 37156, 430, 254, 2408, 280, 50762, 285, 375, 12082, 246, 26, 285, 362, 1401, 768, 2039, 1062, 276, 1062, 366, 21675, 2860, 285, 3177, 13, 1063, 64629, 586, 1917, 13, 2901, 4026, 340, 6062, 418, 441, 11, 487, 993, 65771, 807, 13, 207, 2901, 2395, 856, 1216, 304, 1481, 30, 19302, 914, 2977, 614, 16306, 990, 12, 23320, 4787, 82, 285, 2162, 642, 691, 276, 1865, 280, 768, 853, 280, 245, 2344, 280, 15720, 13, 487, 207, 2901, 4757, 12, 23320, 4787, 82, 30, 487, 993, 7421, 13, 207, 2901, 2960, 340, 614, 786, 7901, 82, 1310, 26, 548, 856, 657, 418, 34950, 525, 13, 5903, 11, 359, 543, 1529, 5752, 1323, 395, 752, 521, 1069, 2012, 25790, 581, 0, 487, 207, 2901, 1380, 5011, 6031, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2280, 937, 21675, 2860, 543, 463, 276, 330, 16527, 581, 279, 245, 18972, 279, 4302, 281, 41821, 349, 285, 3708, 359, 521, 1224, 13, 19051, 362, 543, 7654, 3222, 280, 359, 11, 285, 4922, 1712, 33388, 957, 543, 330, 83071, 696, 12, 15572, 13, 487, 2803, 3973, 39369, 2520, 8728, 13, 207, 2901, 549, 4054, 280, 254, 5047, 418, 4054, 280, 19104, 11, 7415, 3997, 11, 487, 362, 993, 13, 207, 2901, 2395, 340, 2674, 276, 254, 1079, 63330, 280, 4349, 31076, 362, 31530, 340, 11, 9322, 8188, 521, 586, 1823, 11, 285, 2143, 340, 881, 254, 6584, 7654, 17943, 280, 5476, 13, 1308, 2451, 340, 463, 6031, 25119, 1234, 285, 9985, 14078, 11, 1592, 359, 317, 1132, 766, 276, 5476, 1310, 13, 487, 207, 2901, 2280, 441, 889, 7421, 285, 21675, 2860, 1285, 11, 487, 993, 65771, 807, 11, 207, 2901, 2381, 340, 1653, 11, 375, 12082, 246, 13, 304, 2126, 340, 11, 565, 889, 1373, 280, 254, 30766, 340, 463, 2295, 525, 11, 588, 304, 2786, 1866, 7654, 13, 9179, 2786, 304, 7654, 7526, 340, 331, 254, 12967, 280, 254, 1562, 8680, 13, 1474, 327, 65771, 807, 254, 96435, 340, 744, 463, 803, 4739, 937, 13, 1474, 430, 2754, 304, 1006, 1132, 254, 1068, 280, 245, 38501, 3390, 487, 82, 4414, 11, 2451, 359, 330, 521, 344, 481, 330, 2826, 1090, 245, 25504, 280, 12792, 13, 1308, 754, 304, 10853, 271, 344, 1228, 1338, 5879, 842, 340, 11, 304, 1401, 2049, 340, 778, 5030, 13, 304, 1027, 463, 7367, 636, 601, 33735, 13, 1308, 359, 317, 889, 245, 1492, 2618, 1962, 340, 778, 1022, 581, 285, 17970, 1310, 13, 2158, 3853, 1132, 340, 614, 13, 1308, 558, 2786, 304, 13, 487, 207, 2901, 2280, 304, 11, 487, 993, 8427, 23280, 11, 207, 2901, 11838, 3667, 279, 254, 16763, 280, 437, 4770, 3114, 11, 588, 317, 1610, 2527, 13, 685, 2507, 276, 1865, 11, 565, 601, 1473, 1722, 12, 23575, 5181, 11, 742, 280, 769, 22503, 2786, 4760, 24293, 26, 285, 754, 395, 1865, 359, 2786, 330, 19893, 11, 327, 245, 1477, 13, 1494, 245, 1477, 25, 245, 2483, 11, 245, 1728, 11, 245, 5197, 1555, 280, 10889, 13, 100001, 2395, 1308, 63454, 317, 3345, 11, 285, 1308, 63454, 8105, 1224, 276, 254, 15441, 13, 2158, 254, 15441, 0, 2158, 254, 15441, 11, 276, 254, 15441, 0, 429, 3682, 307, 24605, 418, 24302, 11, 429, 5409, 317, 31244, 11, 285, 254, 3682, 23513, 317, 15892, 13, 100001, 23240, 11, 11348, 2302, 11, 254, 4078, 4281, 317, 13520, 13, 100001, 78067, 5225, 11, 14518, 5225, 11, 536, 340, 4704, 768, 9609, 11, 429, 18887, 280, 601, 1245, 344, 463, 5418, 1323, 525, 30, 304, 543, 4283, 11, 304, 543, 4283, 254, 16763, 344, 20010, 525, 26, 1494, 769, 2507, 418, 15592, 285, 769, 1555, 20847, 13, 100001, 40, 543, 1452, 254, 5505, 14585, 25862, 30382, 13, 100001, 11211, 418, 254, 11006, 331, 254, 11354, 41324, 13520, 11, 25049, 418, 254, 18887, 279, 254, 30861, 45593, 9609, 11, 685, 427, 54659, 124, 101, 64, 11, 279, 1473, 1722, 5819, 344, 642, 668, 481, 9172, 11, 2280, 558, 17003, 8427, 23280, 2674, 2302, 1224, 254, 12967, 13, 100001, 4631, 254, 3072, 839, 31334, 11, 285, 21675, 2860, 285, 7421, 2674, 276, 704, 17649, 285, 25119, 13, 1308, 279, 254, 4421, 657, 8728, 1310, 279, 3655, 285, 6942, 26, 285, 657, 7133, 1313, 2507, 279, 94921, 296, 2008, 13, 1494, 254, 11714, 280, 339, 561, 93903, 11, 1066, 254, 3697, 438, 1132, 88436, 11, 438, 3345, 276, 415, 3926, 862, 1640, 3009, 133, 215, 77, 11, 285, 254, 5545, 344, 51486, 473, 895, 15300, 1027, 330, 4101, 279, 254, 2653, 372, 359, 22914, 1224, 1184, 895, 37481, 8364, 11, 285, 5079, 1184, 254, 3460, 1431, 525, 7458, 881, 254, 72809, 280, 1308, 63454, 457, 254, 45593, 280, 339, 1226, 1308, 4177, 13, 100001, 549, 38501, 11834, 39463, 1285, 285, 745, 13700, 1310, 254, 6171, 344, 657, 661, 5079, 1323, 26, 285, 7421, 18936, 1958, 279, 742, 13423, 280, 254, 16763, 410, 6486, 1656, 927, 276, 5770, 11, 6642, 11, 245, 30716, 280, 254, 1228, 8562, 517, 3793, 1018, 13, 1308, 754, 362, 7213, 344, 430, 254, 40892, 280, 92552, 256, 745, 661, 803, 245, 1228, 1604, 280, 1069, 35743, 548, 344, 657, 778, 521, 16298, 11, 362, 2215, 359, 245, 9436, 4257, 13, 100001, 2901, 6636, 11, 634, 481, 487, 83, 330, 13495, 430, 2561, 11, 304, 8259, 11, 487, 362, 993, 13, 207, 2901, 2395, 304, 12892, 245, 2603, 11, 24926, 13, 487, 685, 254, 34147, 254, 3697, 1401, 4599, 327, 254, 972, 276, 4302, 281, 41821, 349, 13, 429, 25761, 31611, 285, 254, 12392, 778, 55422, 13, 1494, 742, 661, 8305, 10039, 285, 19556, 1266, 366, 254, 61192, 280, 254, 25742, 20691, 285, 5178, 15631, 11, 2645, 521, 778, 50684, 13, 1308, 11, 5901, 280, 521, 11, 1462, 5651, 779, 661, 5079, 881, 364, 694, 256, 285, 16298, 254, 5878, 20717, 279, 254, 8687, 280, 254, 3114, 13, 100001, 2395, 430, 254, 1562, 754, 254, 2483, 280, 3638, 438, 10894, 3345, 254, 11383, 82, 280, 254, 5653, 845, 636, 1310, 26, 285, 657, 2674, 33143, 5225, 366, 521, 704, 1743, 11, 285, 657, 33997, 473, 339, 1226, 1308, 4177, 1224, 1308, 63454, 276, 508, 7644, 5187, 511, 26, 285, 745, 657, 10471, 327, 634, 1492, 26, 285, 254, 1492, 1166, 657, 2373, 276, 254, 5575, 5633, 280, 254, 19798, 3926, 256, 285, 3505, 1310, 254, 3682, 33549, 1090, 8670, 22266, 314, 2582, 246, 11, 254, 5183, 280, 254, 10889, 280, 92552, 256, 11, 1562, 4887, 280, 12732, 49877, 11, 344, 661, 5079, 1184, 254, 16342, 285, 4043, 276, 245, 761, 1492, 13, 100001, 2280, 745, 279, 254, 19480, 280, 254, 5633, 657, 845, 581, 704, 33232, 296, 562, 285, 48683, 254, 4421, 26, 327, 359, 438, 254, 23599, 280, 3638, 11, 285, 254, 5047, 744, 5223, 586, 18318, 366, 254, 12698, 280, 254, 5071, 13, 27024, 207, 20, 5048, 31328, 42321, 5597, 5048, 58883, 8075, 254, 3787, 280, 92552, 256, 5914, 285, 1228, 14489, 661, 11704, 13, 13421, 8077, 285, 3662, 4281, 661, 4759, 548, 245, 81207, 276, 1743, 4318, 2507, 4586, 1585, 3655, 11, 285, 779, 4133, 1319, 4421, 327, 4921, 280, 48237, 13, 100001, 24925, 15332, 438, 5030, 285, 21861, 11, 5030, 2762, 254, 5047, 280, 50316, 261, 279, 704, 96534, 11, 285, 254, 761, 6404, 344, 661, 1865, 276, 768, 279, 254, 2653, 438, 5418, 1310, 276, 245, 4429, 366, 12056, 1653, 4426, 285, 12906, 327, 688, 1667, 410, 90689, 276, 22255, 13, 1308, 642, 4921, 2373, 13, 4128, 254, 3697, 2116, 74253, 341, 64832, 285, 3061, 254, 67332, 4559, 14172, 254, 13423, 280, 254, 273, 4191, 12, 244, 2208, 642, 35332, 661, 5651, 5068, 688, 94675, 280, 856, 438, 9989, 279, 254, 86317, 7952, 13, 100001, 3287, 254, 11383, 82, 778, 548, 984, 2507, 5418, 11, 254, 10850, 427, 21313, 322, 1944, 38539, 254, 3844, 779, 47319, 711, 276, 3792, 711, 1819, 2415, 11, 285, 838, 744, 441, 330, 21454, 19505, 11, 548, 8728, 26, 285, 754, 657, 661, 51914, 711, 285, 845, 711, 5868, 279, 245, 82193, 280, 30611, 11, 838, 2674, 276, 254, 423, 5783, 280, 254, 51499, 280, 64749, 13, 100001, 2901, 21339, 11, 487, 838, 993, 11, 207, 2901, 40, 608, 279, 1228, 60001, 11, 285, 304, 2977, 9279, 4172, 279, 1906, 1034, 13, 487, 207, 2901, 36010, 11, 487, 362, 7589, 11, 207, 2901, 4215, 418, 441, 2618, 55422, 11, 285, 304, 438, 385, 12, 12326, 271, 276, 6264, 340, 366, 9928, 2062, 13, 1257, 1023, 441, 463, 31743, 473, 520, 3853, 327, 7960, 2507, 2618, 11, 410, 558, 304, 438, 270, 5369, 13, 304, 2698, 340, 276, 614, 1062, 13, 487, 207, 2901, 40, 608, 55422, 11, 487, 838, 993, 11, 207, 2901, 247, 6336, 430, 2754, 279, 3123, 11, 4617, 601, 2116, 5868, 889, 11, 285, 344, 317, 430, 11535, 13, 1474, 304, 2786, 252, 10222, 59306, 11, 565, 745, 317, 66003, 344, 304, 481, 536, 13, 6475, 745, 642, 58285, 280, 4429, 30, 429, 3844, 481, 2410, 525, 3011, 13, 487, 207, 2901, 2960, 418, 642, 58285, 11, 487, 993, 254, 423, 5783, 11, 207, 2901, 13733, 344, 254, 40154, 463, 59295, 276, 74253, 341, 64832, 26, 285, 1743, 1481, 344, 254, 761, 13109, 636, 280, 254, 5226, 317, 704, 8037, 13, 338, 1228, 15332, 317, 344, 11, 285, 245, 26030, 250, 26, 285, 359, 317, 245, 2421, 9989, 8387, 276, 525, 344, 254, 19104, 1297, 1023, 839, 55363, 254, 16356, 13, 809, 317, 441, 4117, 279, 92552, 256, 1132, 11, 2451, 2561, 359, 438, 558, 11, 565, 1712, 29915, 330, 1927, 13, 1474, 327, 1234, 1555, 395, 26030, 408, 463, 889, 14144, 276, 13825, 254, 63736, 1401, 457, 254, 1743, 280, 44914, 13, 15062, 395, 1023, 1592, 463, 2527, 276, 536, 1673, 768, 25, 254, 1843, 317, 2201, 2527, 280, 45888, 285, 4727, 358, 2271, 1673, 27770, 276, 36419, 768, 13, 487, 207, 2901, 1385, 3277, 548, 634, 39085, 276, 28101, 245, 4429, 11, 441, 984, 11, 9890, 423, 5783, 11, 487, 7589, 36, 21313, 24857, 1944, 13, 2901, 2280, 16612, 7549, 50568, 1466, 2687, 21526, 18219, 24056, 12758, 247, 6336, 279, 3123, 13, 9179, 317, 359, 1958, 11626, 276, 6976, 279, 8680, 11, 1236, 279, 17406, 4452, 13, 31453, 304, 16949, 11, 279, 437, 4426, 5064, 304, 744, 4352, 254, 7317, 13, 487, 429, 423, 5783, 4133, 430, 711, 13, 33337, 838, 6626, 745, 11, 711, 3545, 6464, 279, 711, 3682, 3059, 11, 711, 1329, 1297, 82558, 372, 838, 4540, 285, 32182, 636, 280, 586, 4071, 344, 6899, 276, 254, 7952, 13, 1063, 34456, 285, 18176, 586, 1917, 13, 4128, 245, 19548, 838, 4540, 276, 857, 1310, 13, 100001, 2901, 3110, 745, 642, 30769, 276, 536, 30, 487, 838, 993, 13, 207, 2901, 11604, 9412, 279, 437, 5183, 30, 487, 207, 2901, 40, 536, 441, 39745, 1006, 11, 487, 362, 7589, 13, 207, 2901, 18410, 2012, 418, 441, 601, 2062, 13, 100001, 2960, 317, 245, 76331, 855, 254, 433, 7260, 280, 50316, 261, 26, 285, 254, 5157, 23933, 21313, 14833, 11, 304, 608, 3542, 11, 9412, 254, 1743, 280, 92552, 256, 13, 1474, 254, 5157, 13095, 86752, 317, 457, 1329, 254, 89964, 280, 254, 5183, 13, 487, 207, 2901, 9595, 481, 304, 1275, 857, 30, 487, 207, 2901, 774, 437, 2558, 11, 8164, 13, 1063, 438, 69880, 12392, 11, 548, 317, 1132, 845, 1310 ]

[ 100000, 745, 2373, 245, 17203, 23191, 285, 13586, 279, 254, 2997, 280, 359, 11, 285, 359, 4586, 586, 3545, 11, 558, 344, 1132, 362, 1027, 441, 1068, 2302, 13, 30876, 521, 254, 4650, 4759, 331, 4043, 26, 254, 5141, 438, 31270, 11, 410, 254, 11493, 2383, 778, 69513, 13, 41554, 254, 11493, 2674, 636, 13, 1063, 4366, 245, 85694, 285, 29213, 26, 548, 362, 10471, 18261, 11, 497, 42162, 254, 5141, 366, 1572, 4054, 13, 1861, 36541, 285, 11765, 362, 18261, 11, 285, 937, 5322, 25998, 26, 586, 12077, 6937, 3066, 14256, 327, 245, 1477, 13, 2928, 366, 245, 1406, 25038, 5778, 362, 7276, 1062, 285, 2762, 1592, 13, 100001, 549, 5778, 438, 57098, 13, 429, 29526, 88837, 1224, 473, 254, 13716, 13, 2428, 254, 3182, 438, 3444, 12377, 348, 13, 100001, 2901, 3139, 437, 317, 254, 39925, 2081, 487, 993, 39369, 2520, 13, 44021, 1214, 362, 4733, 586, 38271, 855, 254, 22182, 1066, 359, 2762, 13, 207, 2901, 2395, 340, 11, 375, 12082, 246, 0, 1002, 317, 245, 87113, 1947, 276, 2012, 0, 487, 1063, 57684, 457, 375, 12082, 246, 487, 82, 3123, 25, 254, 38501, 3390, 438, 13595, 331, 586, 1062, 11, 25998, 11, 366, 405, 29619, 3545, 30118, 581, 430, 254, 9539, 13, 207, 2901, 549, 21067, 674, 0, 2461, 39869, 643, 362, 2368, 207, 891, 276, 3177, 11, 285, 276, 521, 280, 450, 30, 487, 429, 43424, 487, 82, 3059, 438, 10237, 285, 98564, 13, 100001, 2450, 3061, 375, 12082, 246, 487, 82, 1297, 285, 18261, 855, 586, 3059, 11, 12734, 327, 586, 9004, 26, 937, 362, 9835, 586, 4054, 331, 586, 28372, 13, 429, 38501, 3390, 80078, 13, 100001, 11126, 3545, 6079, 13, 1063, 7899, 636, 26, 285, 2659, 581, 11, 30118, 279, 68873, 469, 430, 521, 254, 12472, 4078, 857, 11, 14211, 279, 254, 44267, 13, 28063, 30, 20143, 953, 344, 0, 487, 2928, 362, 29213, 276, 752, 581, 285, 10778, 11, 548, 39369, 2520, 4586, 857, 18317, 285, 23258, 13, 100001, 2901, 61329, 97807, 92490, 0, 487, 362, 993, 13, 207, 2901, 17095, 1062, 0, 487, 429, 38501, 3390, 23450, 285, 7276, 1062, 11, 58572, 276, 254, 43424, 487, 82, 1297, 13, 100001, 2901, 38, 384, 2520, 2081, 487, 362, 7899, 13, 207, 2901, 38, 384, 2520, 2081, 1494, 20362, 525, 0, 487, 207, 2901, 1988, 20362, 340, 30, 487, 993, 254, 43424, 13, 207, 2901, 28721, 525, 1022, 856, 340, 463, 2368, 0, 487, 207, 2901, 40, 11, 304, 3061, 254, 5141, 285, 4133, 430, 359, 11, 487, 76159, 375, 12082, 246, 26, 207, 2901, 384, 304, 3505, 2012, 344, 27822, 525, 13, 1308, 304, 4579, 276, 614, 2302, 11, 548, 304, 7045, 487, 83, 13, 100001, 2280, 937, 362, 2373, 285, 31507, 525, 26, 285, 362, 4133, 430, 525, 11, 285, 11, 285, 11, 344, 317, 521, 304, 5175, 13, 487, 207, 2901, 4026, 2115, 487, 83, 536, 11, 487, 993, 39369, 2520, 66358, 13, 207, 2901, 2640, 1216, 340, 1019, 11, 285, 856, 1216, 340, 1481, 30, 487, 375, 12082, 246, 7574, 586, 3545, 285, 90055, 11, 548, 993, 3011, 13, 1955, 521, 30298, 430, 857, 279, 12114, 11, 5085, 50762, 779, 4540, 2302, 13, 1474, 39369, 2520, 207, 487, 82, 3059, 438, 1592, 2074, 13, 207, 2901, 64505, 0, 487, 362, 993, 13, 100001, 774, 245, 2495, 74763, 5136, 375, 12082, 246, 4732, 1310, 11, 285, 9405, 586, 3073, 10318, 35715, 285, 13338, 13, 207, 2901, 40, 3505, 245, 4426, 9539, 11, 285, 8670, 8680, 1180, 11, 487, 362, 993, 13, 207, 2901, 2280, 12624, 7524, 13, 809, 4759, 1079, 2367, 2302, 285, 1234, 4084, 11, 2618, 2074, 285, 3662, 13, 2928, 254, 7524, 2674, 279, 285, 636, 207, 891, 657, 778, 3423, 842, 457, 2012, 366, 19814, 13, 15429, 2567, 11, 304, 1378, 11, 1921, 26, 548, 279, 254, 6696, 657, 4133, 837, 48541, 11712, 272, 4078, 254, 18972, 13, 304, 2215, 745, 778, 11326, 280, 768, 13, 3474, 4732, 276, 10572, 6044, 5135, 525, 11, 3442, 11985, 285, 11985, 13, 809, 661, 245, 22319, 207, 891, 642, 11, 642, 0, 304, 481, 487, 83, 1481, 13, 100001, 2901, 40, 3657, 276, 752, 2302, 11, 1373, 304, 2215, 359, 744, 10572, 636, 26, 548, 754, 359, 661, 7665, 521, 254, 22182, 11, 359, 20027, 13, 2928, 362, 2373, 13, 1063, 1216, 441, 3753, 558, 344, 304, 1027, 4704, 3073, 13, 1063, 953, 4133, 11, 285, 304, 10117, 13, 100001, 2901, 207, 2901, 2901, 3139, 340, 463, 1865, 1062, 30, 5903, 463, 340, 25957, 276, 2508, 327, 558, 1234, 30, 56988, 207, 2901, 40, 1216, 441, 3510, 13, 1063, 993, 25, 207, 2901, 2901, 11604, 418, 340, 30, 56988, 304, 1592, 1216, 441, 3510, 11, 548, 359, 12392, 525, 62046, 26, 285, 362, 16790, 525, 11, 558, 304, 993, 25, 207, 2901, 2901, 32, 38501, 3390, 13, 56988, 207, 2901, 4631, 8963, 362, 4759, 276, 1019, 525, 11, 285, 362, 14032, 430, 525, 13, 809, 438, 17426, 13, 809, 438, 837, 1435, 78266, 366, 47513, 13, 304, 29213, 13, 1474, 362, 993, 25, 207, 2901, 2901, 18420, 245, 2780, 0, 1003, 2786, 2984, 1310, 3444, 13, 21677, 10898, 8379, 344, 437, 60105, 317, 441, 327, 857, 13, 304, 543, 4827, 327, 359, 430, 2561, 13, 3132, 340, 2579, 30, 20143, 953, 344, 0, 56988, 207, 2901, 4631, 362, 307, 789, 616, 855, 525, 13, 304, 4749, 304, 438, 13520, 276, 8155, 13, 2366, 11, 642, 0, 304, 481, 487, 83, 1481, 688, 691, 13, 304, 1113, 487, 83, 5175, 3270, 1979, 13, 487, 207, 2901, 9610, 430, 525, 0, 487, 993, 39369, 2520, 13, 100001, 47, 12082, 246, 4133, 581, 6044, 881, 586, 3545, 13, 429, 43424, 4586, 586, 24529, 327, 245, 2780, 279, 12114, 13, 2928, 586, 3059, 10318, 6065, 2580, 11, 285, 254, 13423, 280, 245, 9973, 7676, 13, 1063, 9835, 586, 1297, 26380, 331, 375, 12082, 246, 487, 82, 1917, 13, 100001, 2901, 3315, 1035, 0, 487, 1218, 19505, 13, 2901, 30445, 19843, 420, 0, 2054, 9145, 290, 2693, 77, 2099, 1773, 13, 2960, 2720, 1667, 463, 2368, 9507, 279, 1108, 245, 1452, 13, 1474, 1995, 437, 0, 1257, 463, 803, 9638, 11, 285, 521, 520, 3997, 1653, 11, 12336, 457, 1207, 16531, 11, 372, 359, 317, 2424, 13, 1257, 2977, 1690, 331, 359, 245, 1864, 766, 13, 1273, 362, 661, 31507, 340, 11, 937, 285, 745, 11, 3308, 6062, 340, 744, 463, 3542, 521, 344, 340, 1006, 11, 276, 254, 22204, 280, 450, 521, 13, 1474, 362, 438, 1653, 14160, 13, 1063, 1216, 441, 1121, 1757, 889, 25, 362, 4579, 340, 11, 5397, 11, 558, 344, 362, 1027, 3822, 366, 340, 279, 254, 17514, 25943, 11, 9405, 13, 4946, 487, 83, 54350, 0, 1273, 340, 543, 1746, 39903, 279, 254, 15726, 280, 423, 52412, 11, 340, 1534, 330, 8479, 276, 1378, 280, 1108, 2012, 13, 1474, 1865, 0, 304, 25754, 340, 13, 2746, 72883, 0, 21985, 463, 441, 4540, 636, 372, 760, 11060, 372, 657, 1667, 13, 487, 1063, 18949, 375, 12082, 246, 18317, 285, 7452, 857, 1062, 276, 586, 3853, 13, 50762, 5496, 11, 285, 2659, 1224, 13869, 857, 13, 207, 2901, 34058, 745, 285, 1610, 11, 565, 340, 481, 11, 375, 12082, 246, 0, 487, 993, 39369, 2520, 13, 207, 2901, 38028, 525, 13, 1273, 340, 2213, 274, 96290, 279, 520, 53066, 1310, 11, 2410, 525, 280, 359, 0, 10553, 2012, 481, 330, 46000, 13, 1474, 12344, 11, 601, 7415, 38501, 3390, 11, 1113, 487, 83, 1957, 245, 46643, 280, 6796, 1090, 601, 37372, 1310, 0, 4201, 11, 304, 543, 4283, 340, 984, 2854, 327, 245, 1477, 13, 487, 2991, 344, 39369, 2520, 5651, 276, 254, 3072, 11, 779, 778, 1592, 8898, 457, 254, 35100, 863, 12, 10287, 279, 27484, 2215, 13, 207, 2901, 5130, 296, 3450, 279, 254, 2653, 754, 2754, 4061, 11, 487, 362, 993, 13, 207, 2901, 1380, 463, 661, 245, 9745, 10778, 0, 487, 207, 2901, 2819, 317, 254, 38501, 3390, 11, 375, 12082, 246, 30, 487, 3637, 52334, 1752, 13, 100001, 2901, 40, 1378, 521, 543, 330, 1136, 1132, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 2450, 438, 441, 4586, 1234, 11, 285, 38501, 11834, 463, 274, 6971, 1823, 280, 10087, 13, 429, 4887, 11, 410, 254, 20040, 280, 359, 11, 543, 3748, 28747, 5397, 13, 26322, 5397, 11, 5216, 13, 100001, 10783, 340, 11, 52334, 1752, 11, 1529, 254, 35100, 863, 12, 10287, 285, 6839, 359, 30, 809, 317, 245, 7082, 12, 66533, 5361, 13, 487, 207, 2901, 35, 4402, 625, 6031, 11, 548, 441, 276, 521, 11, 487, 993, 52334, 1752, 13, 207, 2901, 2960, 317, 634, 779, 975, 4351, 359, 457, 1329, 13, 1494, 437, 79644, 317, 254, 5609, 401, 21313, 18700, 81, 280, 35100, 863, 473, 254, 61677, 280, 1473, 409, 296, 11, 845, 1285, 457, 254, 23555, 280, 92552, 256, 13, 4201, 601, 5064, 24259, 3345, 13, 304, 543, 1529, 359, 13, 487, 39369, 2520, 4133, 430, 52334, 1752, 11, 285, 937, 11, 276, 254, 10782, 280, 254, 3072, 11, 362, 18949, 254, 7665, 17365, 11, 285, 31788, 372, 362, 6605, 359, 13, 100001, 2901, 36686, 359, 11, 15332, 0, 487, 362, 993, 25, 207, 2901, 246, 18727, 280, 750, 2012, 344, 2786, 330, 2028, 1062, 13, 1474, 565, 304, 975, 15521, 340, 279, 254, 938, 280, 520, 1377, 11, 536, 441, 938, 359, 207, 891, 2618, 0, 2746, 58306, 0, 487, 207, 2901, 3287, 463, 304, 803, 51284, 410, 19735, 666, 11, 779, 463, 17493, 285, 8479, 327, 558, 1313, 1234, 1555, 30, 487, 993, 52334, 1752, 13, 100001, 2901, 17769, 2618, 13, 3132, 441, 937, 69559, 430, 254, 1225, 280, 254, 4559, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 2395, 430, 254, 2754, 2240, 437, 2421, 6486, 13, 1257, 11, 285, 521, 3072, 344, 2039, 1285, 0, 429, 38501, 3390, 11, 13757, 97807, 11, 2330, 521, 1023, 441, 1006, 1066, 359, 317, 46118, 13, 429, 11626, 4357, 975, 1865, 331, 857, 1310, 13, 1494, 42157, 0, 362, 643, 19242, 359, 285, 4133, 279, 359, 11, 372, 1023, 1866, 463, 6628, 13, 1265, 430, 2561, 6384, 254, 4910, 280, 254, 17365, 13, 2928, 304, 438, 25761, 11, 285, 372, 304, 2762, 84925, 359, 11, 5476, 79118, 525, 13, 4201, 304, 1006, 0, 487, 207, 2901, 5661, 11, 745, 481, 330, 642, 5914, 11, 487, 993, 52334, 1752, 13, 207, 2901, 3567, 1562, 395, 1006, 254, 3636, 1439, 2128, 1227, 494, 285, 364, 694, 256, 11, 285, 946, 359, 5168, 13, 21992, 317, 9643, 13, 487, 207, 2901, 88829, 12056, 463, 769, 14924, 11, 285, 8387, 44463, 0, 487, 993, 429, 21313, 94054, 13, 207, 2901, 2395, 359, 643, 1234, 803, 993, 25, 36799, 11626, 543, 2786, 11626, 2211, 13, 487, 207, 2901, 4026, 1313, 2602, 317, 2826, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2395, 430, 437, 766, 395, 463, 803, 38360, 25517, 13, 12343, 11, 304, 463, 803, 9638, 457, 437, 38501, 3390, 473, 245, 16223, 84179, 13, 304, 661, 4828, 3203, 410, 441, 276, 19751, 437, 17365, 4367, 276, 1275, 895, 5131, 13, 15918, 304, 2368, 558, 11, 304, 1023, 463, 803, 13558, 276, 857, 4367, 13, 304, 608, 441, 4599, 327, 1108, 245, 10075, 11, 565, 6031, 304, 2786, 2647, 330, 558, 13, 1474, 1236, 565, 304, 1503, 254, 1823, 276, 18635, 4367, 11, 359, 744, 330, 51178, 327, 857, 276, 1019, 525, 11, 2618, 207, 891, 2645, 254, 5064, 3450, 754, 56716, 543, 12764, 642, 4172, 13, 487, 207, 2901, 4026, 5064, 317, 1132, 1865, 11, 304, 1378, 11, 487, 993, 52334, 1752, 13, 100001, 2901, 3647, 2618, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2960, 7544, 245, 2577, 1477, 280, 5914, 11, 588, 395, 1534, 938, 13, 429, 75425, 11, 359, 317, 3662, 11, 2215, 344, 254, 17365, 438, 279, 35100, 863, 207, 891, 2643, 1023, 362, 441, 30, 1308, 344, 4573, 254, 38501, 3390, 438, 47127, 745, 11, 11516, 276, 1068, 279, 254, 6696, 327, 586, 42018, 457, 10898, 8379, 13, 2608, 4426, 2764, 543, 330, 8148, 1132, 366, 254, 5136, 285, 3059, 280, 254, 38501, 3390, 285, 366, 18606, 25, 359, 975, 1529, 742, 766, 1323, 362, 36846, 586, 2189, 13, 1003, 1534, 66849, 344, 766, 13, 1003, 463, 803, 1653, 62159, 13, 1003, 1534, 2938, 13, 429, 26438, 280, 2128, 1227, 494, 317, 642, 1810, 1132, 276, 51334, 279, 13, 304, 543, 10502, 8450, 430, 2561, 366, 13757 ]

[ 100000, 7499, 11, 285, 643, 254, 6146, 1823, 13, 487, 1308, 427, 21313, 18923, 7123, 344, 362, 438, 1572, 77197, 285, 25761, 993, 25, 207, 2901, 6306, 340, 1534, 1610, 11, 13946, 11, 285, 430, 254, 2754, 6540, 245, 1585, 30, 487, 1474, 52334, 1752, 7589, 25, 207, 2901, 38157, 11, 327, 1069, 1853, 11, 285, 1094, 3444, 327, 13095, 86752, 11, 766, 317, 3268, 636, 13, 2428, 4583, 317, 4067, 13, 487, 2928, 362, 2424, 276, 304, 420, 393, 285, 362, 993, 25, 207, 2901, 2054, 463, 4743, 279, 437, 5989, 280, 254, 31683, 280, 19104, 30, 487, 207, 2901, 5661, 11, 15332, 11, 487, 838, 7589, 26, 207, 2901, 2381, 441, 2527, 11, 304, 35442, 11, 327, 521, 344, 543, 933, 768, 13, 1474, 304, 608, 2049, 304, 536, 441, 1006, 1066, 395, 2786, 1275, 691, 26, 327, 521, 2012, 418, 85608, 279, 1069, 27723, 2507, 11, 856, 366, 22533, 285, 7172, 791, 11, 285, 254, 43707, 344, 1409, 80776, 558, 1860, 11, 285, 521, 254, 16672, 19283, 13, 5903, 11, 359, 317, 2507, 636, 280, 1690, 1962, 2647, 245, 18942, 2373, 279, 473, 33168, 1668, 683, 276, 254, 2892, 0, 1474, 395, 536, 769, 1608, 279, 437, 5989, 366, 856, 395, 463, 11, 372, 304, 608, 2049, 520, 60260, 543, 1006, 13, 487, 207, 2901, 40, 543, 12218, 344, 754, 304, 1019, 11, 487, 993, 52334, 1752, 13, 207, 2901, 4711, 2421, 839, 317, 2577, 11, 766, 327, 8689, 13, 10351, 340, 430, 4116, 281, 30, 487, 207, 2901, 40, 536, 441, 1006, 11, 304, 608, 2049, 11, 15332, 11, 487, 838, 7589, 11, 207, 2901, 253, 2754, 441, 457, 2901, 1385, 317, 839, 2424, 27198, 2315, 296, 11, 487, 993, 52334, 1752, 26, 207, 2901, 384, 6642, 340, 1006, 359, 457, 344, 1210, 11, 327, 558, 254, 3085, 12, 33468, 1282, 359, 279, 1069, 7317, 2507, 13, 487, 207, 2901, 6023, 344, 0, 487, 993, 304, 420, 393, 13, 207, 2901, 6636, 11, 565, 520, 60260, 661, 7046, 359, 430, 1022, 304, 1027, 463, 3542, 340, 13, 2366, 11, 395, 463, 5249, 280, 359, 11, 304, 608, 2049, 13, 5903, 11, 304, 463, 1866, 4101, 344, 359, 661, 688, 1228, 20542, 26, 285, 6031, 304, 463, 2752, 993, 276, 601, 21864, 754, 395, 2373, 2065, 359, 7476, 279, 254, 16763, 25, 207, 2901, 2901, 74, 791, 2315, 296, 56988, 11, 304, 993, 11, 207, 2901, 2901, 487, 23697, 245, 8387, 1210, 11, 285, 304, 3860, 2643, 207, 487, 23697, 2424, 558, 26, 327, 565, 304, 778, 245, 6404, 11, 304, 744, 463, 9962, 691, 6464, 279, 601, 8324, 56988, 13, 100001, 23392, 359, 44017, 6584, 754, 75257, 11, 1217, 359, 441, 30, 1273, 6584, 317, 254, 1329, 1734, 25, 49787, 11, 6642, 11, 317, 23479, 13, 487, 207, 2901, 3236, 7467, 498, 94384, 11, 487, 993, 52334, 1752, 13, 207, 2901, 2280, 1132, 11, 73655, 11, 565, 340, 2126, 254, 5157, 13095, 86752, 11, 1409, 372, 3399, 372, 520, 16777, 285, 752, 525, 27198, 2315, 296, 11, 565, 745, 317, 245, 14568, 279, 254, 5183, 13, 487, 207, 2901, 2280, 565, 441, 11, 487, 993, 39369, 2520, 11, 207, 2901, 40, 543, 10502, 276, 33168, 1668, 683, 366, 304, 420, 393, 4435, 525, 11, 285, 838, 2786, 1529, 525, 276, 254, 16763, 11, 548, 441, 276, 711, 21864, 13, 100001, 2280, 37134, 43745, 2786, 1296, 711, 254, 4569, 280, 32483, 13, 487, 2473, 304, 420, 393, 438, 5418, 11, 52334, 1752, 38539, 254, 750, 3844, 276, 1099, 2354, 3550, 13, 2928, 362, 3061, 13095, 86752, 487, 82, 1297, 279, 586, 11, 285, 9835, 254, 750, 1297, 2065, 254, 10377, 668, 487, 82, 28372, 13, 809, 438, 12640, 55366, 366, 27282, 26, 548, 13095, 86752, 1216, 441, 2938, 410, 1099, 688, 1472, 11, 285, 4759, 10983, 276, 29620, 13, 100001, 2901, 2450, 317, 6128, 7133, 11, 487, 993, 52334, 1752, 9860, 276, 39369, 2520, 13, 207, 2901, 2395, 437, 3450, 441, 473, 254, 20401, 13, 5129, 0, 344, 317, 19104, 13, 15918, 362, 803, 99231, 457, 742, 38126, 280, 254, 36968, 3441, 133, 215, 284, 11, 372, 340, 2215, 11, 362, 744, 463, 7648, 344, 2653, 13, 1002, 12392, 438, 2028, 457, 742, 5178, 2114, 18660, 11, 304, 744, 6384, 13, 100001, 11604, 12419, 359, 8188, 30, 14470, 359, 5982, 30, 487, 207, 2901, 40, 12419, 359, 8188, 11, 487, 993, 4086, 27936, 296, 11, 207, 2901, 384, 352, 61688, 2910, 254, 20401, 13, 1474, 304, 1216, 441, 2240, 254, 18660, 11, 327, 395, 661, 1266, 276, 536, 13, 809, 438, 11, 372, 304, 5175, 11, 953, 1108, 245, 38126, 372, 254, 5178, 15631, 938, 13, 11169, 304, 11510, 344, 359, 2373, 473, 254, 86230, 2330, 11, 327, 1979, 586, 21405, 285, 36914, 778, 441, 276, 330, 10117, 26, 1962, 254, 20401, 438, 441, 4399, 410, 14454, 13, 1724, 937, 536, 340, 1274, 254, 3502, 30, 487, 207, 2901, 94222, 1566, 11, 20110, 327, 586, 4209, 487, 82, 15128, 11, 245, 20401, 11, 285, 855, 521, 254, 6350, 83625, 11, 487, 993, 52334, 1752, 13, 207, 2901, 2450, 317, 245, 668, 280, 352, 67605, 543, 11, 327, 2571, 362, 661, 1865, 3415, 1090, 254, 37134, 1323, 2647, 362, 19354, 276, 8680, 331, 254, 636, 12, 46916, 13, 80809, 254, 4426, 1534, 463, 39262, 331, 857, 11, 1236, 372, 362, 19556, 285, 67220, 276, 2785, 586, 636, 5456, 13, 14659, 344, 304, 1027, 463, 803, 1285, 19026, 0, 487, 2071, 12758, 254, 31915, 12, 10037, 8400, 13, 207, 2901, 7616, 60260, 3637, 327, 27198, 2315, 296, 11, 372, 254, 18182, 964, 1210, 359, 11, 487, 362, 993, 26, 207, 2901, 256, 430, 4116, 281, 279, 254, 12573, 16777, 11, 410, 276, 1462, 779, 1006, 8997, 280, 254, 3601, 246, 69981, 1204, 487, 2901, 7616, 25880, 15332, 0, 487, 993, 254, 668, 13, 207, 2901, 40, 1019, 340, 418, 245, 63618, 12, 10037, 11, 441, 10660, 245, 13109, 280, 4429, 13, 1474, 42157, 0, 8005, 11, 395, 536, 441, 2240, 437, 2421, 279, 254, 51499, 280, 64749, 11, 1066, 889, 254, 42799, 12392, 410, 10377, 418, 47319, 13, 100001, 1988, 359, 643, 642, 20542, 344, 395, 1006, 280, 11, 4617, 5216, 276, 6584, 255, 245, 3941, 1215, 3207, 11, 410, 276, 3797, 2302, 742, 9989, 10853, 1566, 13, 23654, 11, 280, 2629, 11, 340, 2102, 35871, 276, 79482, 280, 1712, 2507, 588, 3844, 1108, 372, 769, 1207, 304, 420, 393, 1592, 12926, 1673, 6714, 13, 100001, 3287, 254, 3438, 9004, 33094, 285, 4349, 487, 82, 13423, 19112, 285, 521, 11493, 1452, 11, 1865, 430, 4116, 281, 0, 1865, 430, 4116, 281, 0, 8598, 276, 254, 17616, 685, 254, 6404, 487, 82, 1297, 13595, 0, 809, 317, 548, 245, 5025, 70, 3800, 11, 304, 5663, 11, 7262, 11232, 279, 254, 4887, 280, 1712, 29586, 13, 9904, 4569, 304, 4283, 276, 520, 47279, 11, 565, 6031, 359, 643, 688, 13, 1474, 1712, 22503, 1592, 938, 274, 68920, 280, 254, 31915, 327, 50943, 13, 487, 207, 2901, 4631, 279, 254, 1210, 280, 254, 6404, 11, 614, 285, 1275, 742, 1712, 668, 280, 2246, 63618, 285, 691, 16533, 779, 11526, 742, 279, 586, 2558, 0, 487, 7899, 39369, 2520, 13, 100001, 4388, 52334, 1752, 57684, 13869, 13095, 86752, 11, 285, 4586, 245, 1297, 2065, 586, 28372, 13, 1308, 1462, 344, 12835, 4749, 344, 742, 1228, 13564, 438, 1872, 331, 13, 1494, 52334, 1752, 487, 82, 3059, 10318, 14518, 366, 77774, 26, 285, 2647, 285, 65032, 362, 2424, 254, 1210, 280, 13095, 86752, 11, 548, 1319, 766, 691, 55479, 276, 704, 10921, 11, 372, 565, 52334, 1752, 3177, 438, 6910, 473, 768, 11, 285, 10408, 60144, 279, 742, 4426, 70140, 11, 9609, 327, 634, 344, 438, 4739, 13, 100001, 2280, 430, 1562, 20569, 296, 2373, 3268, 279, 11, 285, 362, 20010, 4484, 8242, 279, 245, 17715, 13, 207, 2901, 1385, 317, 27198, 2315, 296, 11, 6862, 11, 487, 362, 993, 26, 207, 2901, 2381, 441, 5583, 11, 304, 5663, 13, 809, 1534, 463, 803, 258, 80355, 984, 5752, 4084, 430, 254, 2754, 13, 304, 3655, 359, 543, 5043, 11, 6862, 30, 487, 2928, 2709, 430, 13095, 86752, 362, 13326, 881, 12867, 13, 100001, 2395, 52334, 1752, 17424, 13, 207, 2901, 1385, 543, 5043, 11, 487, 362, 993, 13, 207, 2901, 549, 11312, 317, 1132, 855, 13, 27617, 285, 330, 72883, 0, 487, 2928, 3950, 984, 8242, 11, 362, 9835, 768, 331, 586, 4054, 285, 47460, 331, 768, 11, 285, 937, 362, 31514, 768, 11, 285, 6044, 1411, 245, 4731, 56599, 8148, 254, 2563, 11, 372, 565, 254, 3207, 3964, 46131, 285, 33616, 1215, 11, 39741, 366, 8810, 13, 1308, 937, 362, 4733, 254, 8242, 881, 254, 49782, 280, 78920, 2354, 344, 778, 4832, 276, 857, 11, 285, 430, 2561, 521, 14495, 778, 2156, 2954, 13, 1494, 254, 41767, 344, 2373, 276, 1319, 438, 837, 245, 4887, 280, 315, 25785, 48842, 280, 405, 17470, 271, 4281, 279, 742, 3114, 280, 588, 254, 4770, 1843, 279, 8079, 317, 3964, 548, 245, 76783, 4887, 13, 1474, 52334, 1752, 6626, 581, 372, 634, 51870, 11, 285, 586, 3545, 17424, 372, 362, 4586, 245, 16136, 1323, 13095, 86752, 487, 82, 40610, 3059, 13, 1513, 280, 254, 29402, 280, 304, 1315, 1034, 9773, 3970, 754, 304, 438, 245, 64899, 11, 285, 642, 6404, 1027, 2088, 327, 2018, 13, 487, 41554, 13095, 86752, 38087, 11, 285, 362, 6899, 586, 3545, 11, 285, 362, 4133, 331, 52334, 1752, 779, 18261, 855, 857, 26, 285, 245, 2156, 280, 4530, 285, 2126, 438, 78293, 279, 586, 3545, 11, 285, 362, 8921, 26380, 13, 207, 2901, 3673, 15332, 11, 340, 2424, 525, 13, 304, 1865, 13, 2461, 1217, 254, 6404, 2525, 30, 487, 207, 2901, 29879, 642, 691, 279, 254, 25851, 11, 548, 28183, 0, 487, 993, 52334, 1752, 13, 207, 2901, 2054, 418, 25761, 13, 14757, 245, 1477, 11, 285, 1529, 3427, 11, 285, 330, 4599, 754, 304, 972, 13, 487, 207, 2901, 40, 543, 11, 15332, 11, 487, 993, 13095, 86752, 13, 207, 2901, 1988, 779, 744, 9279, 21639, 754, 254, 6404, 643, 5651, 30, 487, 207, 2901, 93816, 5342, 937, 327, 245, 1477, 0, 487, 993, 52334, 1752, 13, 207, 2901, 40, 1534, 614, 276, 3072, 779, 933, 525, 13, 487, 1308, 362, 2116, 254, 18377, 366, 39369, 2520, 285, 4086, 27936, 296, 26, 548, 40031, 70, 1089, 285, 586, 4278, 10471, 4435, 11, 9892, 276, 3780, 704, 8810, 13, 100001, 2124, 362, 5496, 39369, 2520, 285, 7574, 254, 4167, 375, 12082, 246, 4101, 304, 420, 393, 411, 6739, 25, 207, 2901, 24288, 0, 12887, 340, 4704, 344, 30, 2461, 1216, 304, 1481, 30, 429, 4054, 280, 245, 26030, 250, 11, 304, 993, 13, 487, 1308, 3444, 254, 1734, 661, 5418, 636, 473, 254, 5989, 344, 254, 6404, 438, 6031, 1865, 3264, 768, 11, 285, 1166, 4429, 362, 4832, 19104, 26, 285, 254, 4921, 7279, 1184, 254, 5183, 13, 100001, 2395, 52334, 1752, 2373, 276, 427, 21313, 24857, 1944, 11, 285, 362, 993, 25, 207, 2901, 4898, 745, 317, 245, 87113, 12392, 285, 245, 6751, 10631, 13, 429, 5868, 344, 438, 7488, 643, 803, 47319, 366, 3266, 11228, 11, 285, 359, 543, 51939, 279, 766, 11, 565, 838, 643, 254, 6313, 276, 3530, 13, 809, 317, 254, 16352, 12, 1773, 344, 317, 273, 2975, 271, 26, 548, 254, 8037, 11626, 3450, 1184, 254, 16356, 12, 1773, 13, 685, 344, 745, 1132, 3354, 642, 1728, 11, 5802, 359, 317, 60300, 13, 100001, 2901, 60345, 0, 1494, 838, 438, 265, 3580, 2481, 245, 39085, 5897, 254, 6313, 280, 711, 2764, 410, 3123, 13, 1308, 1462, 779, 543, 1529, 245, 17094, 276, 1108, 274, 9470, 1534, 330, 22757, 250, 853, 10586, 11, 565, 254, 1079, 11163, 2786, 441, 9699, 768, 13, 100001, 1385, 438, 274, 11626, 48237, 344, 845, 711, 279, 586, 3088, 13, 1494, 838, 317, 245, 4770, 33722, 11, 89394, 8164, 280, 245, 2558, 280, 79104, 13, 1308, 2618, 304, 1006, 441, 946, 304, 1023, 3753, 280, 711, 13, 2473, 304, 1022, 4133, 331, 711, 285, 20940, 711, 405, 22655, 72, 12, 291, 390, 11, 359, 4759, 276, 525, 344, 304, 3505, 245, 3682, 15583, 8898, 6044, 285, 9326, 11, 75661, 733, 372, 245, 63712, 11, 285, 2618, 4437, 344, 359, 438, 2074, 11, 372, 565, 35386, 457, 77937, 12, 43012, 82, 636, 280, 10586, 13, 2489, 438, 359, 11, 6642, 11, 245, 27590, 344, 661, 4540, 895, 20973, 276, 9400 ]

[ 100000, 13, 100001, 47781, 279, 254, 4421, 285, 430, 1492, 487, 82, 15592, 41785, 3061, 285, 81185, 13, 9055, 1132, 657, 5476, 1090, 11387, 279, 92552, 256, 457, 254, 6982, 9321, 13, 100001, 78067, 1132, 372, 12867, 11, 64195, 11041, 11, 3074, 937, 359, 19178, 11, 54613, 2354, 25, 23513, 73401, 366, 5931, 1278, 4065, 430, 28976, 26, 372, 330, 54435, 14499, 21861, 430, 6787, 26, 3074, 7276, 254, 50010, 279, 10343, 5213, 427, 14187, 13, 27024, 207, 22, 5048, 63094, 1374, 5372, 88049, 17522, 1698, 2473, 254, 4426, 13423, 430, 254, 22425, 45352, 39369, 2520, 1592, 2659, 7745, 12, 2246, 13, 1474, 375, 12082, 246, 8728, 276, 586, 5144, 11, 372, 565, 245, 1228, 4297, 661, 803, 18949, 473, 857, 26, 285, 362, 6626, 12734, 276, 254, 44055, 11, 285, 359, 4759, 276, 857, 344, 657, 744, 2973, 586, 2997, 366, 8810, 13, 1308, 1866, 279, 1166, 1555, 1027, 362, 4704, 245, 27250, 30249, 279, 254, 5013, 1673, 12867, 5872, 279, 586, 3545, 13, 1474, 1132, 8963, 586, 58205, 5651, 276, 586, 4887, 11, 285, 362, 7279, 4312, 13, 2803, 344, 2780, 39369, 2520, 38087, 285, 8921, 276, 37134, 43745, 11, 285, 438, 786, 276, 10502, 1184, 254, 22425, 13, 100001, 2901, 38, 384, 2520, 11, 39369, 2520, 2081, 487, 7899, 375, 12082, 246, 11, 285, 37134, 43745, 41639, 13, 100001, 2901, 2640, 418, 340, 3217, 1285, 30, 487, 993, 39369, 2520, 13, 207, 2901, 3110, 359, 441, 245, 2753, 279, 254, 5183, 344, 1462, 779, 8662, 254, 3438, 285, 11041, 1534, 4152, 279, 254, 19892, 15352, 11, 6838, 704, 15332, 4380, 768, 4283, 30, 487, 207, 2901, 2450, 643, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2450, 2143, 525, 2302, 13, 1474, 304, 608, 27822, 13, 100001, 29534, 12906, 975, 6095, 581, 745, 13, 429, 5157, 317, 636, 280, 586, 2764, 11, 304, 1378, 13, 304, 608, 10297, 362, 543, 6856, 3177, 11, 285, 6856, 13095, 86752, 1653, 13, 100001, 5900, 487, 83, 340, 536, 1874, 30, 487, 39369, 2520, 4133, 1184, 254, 96678, 22425, 11, 285, 2571, 331, 254, 5633, 362, 4101, 254, 20190, 3066, 280, 8680, 13, 1063, 82558, 586, 1297, 13, 207, 2901, 40, 1534, 614, 11, 487, 362, 993, 13, 207, 2901, 549, 6350, 73613, 317, 17970, 11, 285, 362, 543, 2618, 3792, 22204, 331, 450, 13, 304, 463, 642, 766, 13, 487, 207, 2901, 2395, 13095, 86752, 0, 487, 7899, 375, 12082, 246, 13, 207, 2901, 2450, 317, 441, 5030, 11, 285, 657, 543, 7172, 857, 13260, 11, 565, 3899, 1217, 441, 3070, 768, 13, 487, 207, 2901, 50787, 857, 13260, 30, 487, 993, 39369, 2520, 13, 207, 2901, 2640, 317, 437, 19025, 30, 2746, 3399, 0, 487, 207, 2901, 23467, 862, 256, 643, 5418, 276, 254, 6771, 1786, 11, 487, 993, 375, 12082, 246, 11, 207, 2901, 384, 362, 643, 3443, 13095, 86752, 11, 285, 362, 2970, 395, 418, 521, 276, 7172, 11, 285, 362, 543, 441, 3825, 11, 285, 657, 418, 276, 1099, 245, 15445, 248, 285, 7172, 857, 331, 359, 11, 285, 13095, 86752, 372, 1136, 13, 100001, 2280, 362, 643, 2143, 1743, 276, 16893, 4837, 285, 6246, 13, 1308, 304, 463, 3542, 40031, 70, 1089, 11, 548, 304, 487, 76, 10297, 362, 2115, 487, 83, 18628, 276, 4283, 586, 1767, 25, 362, 317, 331, 6839, 13, 1308, 856, 481, 362, 536, 12344, 30, 487, 2086, 375, 12082, 246, 28078, 636, 586, 19025, 11, 16232, 581, 285, 23005, 39369, 2520, 207, 487, 82, 20403, 366, 31345, 4054, 13, 207, 2901, 5900, 487, 83, 340, 4617, 13095, 86752, 30, 487, 207, 2901, 21529, 304, 481, 11, 487, 993, 39369, 2520, 26, 207, 2901, 2381, 565, 304, 536, 11, 937, 3072, 543, 6976, 11, 304, 5663, 13, 7384, 11, 304, 1534, 1865, 11, 1962, 642, 750, 1345, 481, 5934, 857, 13, 1474, 11626, 285, 19506, 543, 1865, 280, 437, 13, 6809, 279, 254, 2997, 280, 769, 87643, 254, 75425, 643, 1823, 276, 15207, 450, 25, 327, 586, 543, 359, 317, 344, 317, 430, 830, 13, 487, 2928, 2497, 1401, 581, 586, 2764, 362, 23612, 35503, 26, 285, 28160, 672, 6565, 280, 4429, 8728, 4435, 768, 13, 84634, 1743, 778, 12698, 473, 704, 22553, 285, 14489, 11, 63444, 704, 15872, 11, 24302, 634, 276, 1913, 25, 207, 2901, 49, 66431, 643, 1865, 0, 487, 11383, 82, 778, 40579, 11, 5212, 778, 75788, 12, 6209, 26, 1313, 2571, 778, 44352, 1224, 276, 254, 22425, 13, 100001, 5490, 2011, 254, 13445, 4086, 27936, 296, 11, 285, 362, 2424, 276, 768, 25, 207, 2901, 3236, 2064, 1132, 11, 364, 349, 21192, 348, 30, 429, 50316, 348, 4383, 418, 13286, 331, 254, 5633, 280, 92552, 256, 0, 1003, 1534, 10810, 521, 254, 6313, 344, 395, 481, 1275, 13, 487, 207, 2901, 2054, 543, 933, 1131, 668, 285, 691, 11, 487, 993, 39369, 2520, 13, 207, 2901, 11345, 521, 32483, 13, 304, 543, 1865, 754, 304, 481, 13, 1474, 304, 463, 274, 58205, 276, 254, 5157, 10806, 862, 256, 344, 543, 441, 3825, 13, 11293, 2525, 279, 254, 5157, 487, 82, 13356, 0, 487, 1955, 5079, 331, 26, 285, 372, 657, 32545, 285, 12419, 3345, 276, 254, 19892, 15352, 657, 4749, 254, 5409, 31244, 279, 704, 12472, 11, 285, 657, 9317, 254, 70673, 280, 4421, 2367, 2302, 11, 245, 2156, 7476, 279, 254, 18034, 9539, 13, 1474, 359, 4832, 1585, 3655, 276, 768, 11, 441, 10539, 856, 11626, 2762, 1323, 768, 11, 58040, 276, 1865, 1653, 5189, 13, 100001, 2901, 36608, 1465, 317, 9989, 11, 487, 993, 39369, 2520, 11, 207, 2901, 2381, 359, 1592, 11012, 6751, 331, 437, 5183, 13, 487, 2803, 254, 8364, 280, 254, 19892, 15352, 657, 1503, 642, 6839, 13, 207, 2901, 4631, 40031, 70, 1089, 643, 5418, 11, 487, 993, 375, 12082, 246, 691, 21187, 13, 1955, 4540, 2302, 285, 40382, 2726, 254, 4559, 276, 254, 58745, 29201, 13, 809, 6626, 5505, 1721, 11, 285, 254, 44799, 2762, 1323, 359, 13, 1063, 438, 38251, 285, 586, 2131, 661, 803, 3443, 13, 100001, 2901, 10869, 280, 254, 75425, 0, 487, 993, 39369, 2520, 13, 207, 2901, 18410, 31977, 362, 13635, 25, 2138, 430, 4429, 366, 2138, 26, 28901, 13429, 279, 16305, 280, 14495, 13, 487, 4201, 362, 86908, 285, 38539, 37134, 43745, 972, 276, 586, 9456, 13, 207, 2901, 1988, 11, 601, 2138, 11, 487, 362, 993, 11, 207, 2901, 4215, 285, 304, 1023, 463, 59295, 276, 254, 5633, 1234, 4084, 11, 548, 750, 10146, 8401, 525, 13, 11169, 1865, 35503, 565, 304, 1282, 0, 487, 1955, 5079, 254, 29201, 285, 10408, 331, 1224, 254, 19547, 26216, 4559, 13, 10397, 438, 7476, 11, 285, 254, 8670, 10114, 285, 1338, 1722, 10742, 13869, 254, 1143, 2674, 9405, 457, 837, 14518, 46049, 13, 100001, 51297, 254, 12114, 438, 7488, 11, 285, 657, 4101, 2877, 768, 29493, 285, 254, 39237, 280, 44914, 25, 1108, 7642, 372, 661, 441, 803, 4101, 279, 254, 286, 20807, 6171, 1962, 254, 4521, 280, 254, 5183, 13, 2803, 1562, 657, 2373, 276, 82181, 414, 21313, 18700, 48009, 285, 40382, 5135, 254, 5989, 280, 254, 3735, 2849, 11, 82858, 12, 6209, 279, 254, 45660, 1090, 895, 1228, 47342, 13, 100001, 2901, 36632, 0, 27617, 0, 487, 7899, 39369, 2520, 11, 64127, 4312, 276, 254, 8665, 24221, 1323, 254, 4167, 13, 207, 2901, 36632, 437, 40549, 0, 487, 1494, 745, 778, 254, 20595, 280, 10806, 862, 256, 366, 44914, 285, 73546, 279, 704, 4054, 26, 548, 5254, 279, 254, 30576, 2065, 254, 1869, 2377, 3458, 6626, 40031, 70, 1089, 11, 47286, 279, 254, 3438, 285, 11041, 280, 254, 17518, 26, 285, 362, 4586, 254, 4167, 2481, 768, 13, 9298, 280, 768, 661, 2571, 14844, 276, 586, 16356, 11, 75435, 254, 11482, 5984, 366, 704, 5931, 26, 285, 254, 3072, 52040, 857, 11, 672, 2558, 280, 254, 5030, 254, 5136, 280, 10806, 862, 256, 24302, 25, 207, 2901, 39, 5102, 11, 32483, 0, 3132, 372, 304, 463, 270, 5369, 0, 324, 3582, 525, 437, 76672, 927, 0, 2489, 1534, 304, 536, 558, 4367, 3025, 487, 2071, 12758, 254, 4167, 588, 40031, 70, 1089, 4586, 7574, 366, 586, 2116, 1297, 438, 19285, 55366, 1721, 11, 285, 745, 4435, 857, 6626, 254, 5157, 280, 254, 5183, 11, 8670, 285, 7276, 26, 245, 2156, 837, 24138, 438, 279, 586, 3545, 11, 285, 362, 4586, 245, 10237, 16356, 13, 100001, 2395, 39369, 2520, 27376, 581, 254, 5610, 11, 285, 254, 1743, 7276, 1062, 473, 857, 285, 7665, 704, 3545, 26, 327, 586, 4321, 438, 837, 254, 23581, 280, 245, 3682, 2156, 881, 245, 4426, 1810, 11, 285, 362, 2373, 366, 1228, 18519, 13, 1063, 18949, 581, 586, 1297, 11, 285, 279, 254, 1079, 19095, 11, 254, 16356, 280, 10806, 862, 256, 24698, 581, 285, 2116, 586, 24809, 285, 7276, 4435, 857, 279, 254, 25851, 280, 254, 2558, 26, 285, 10806, 862, 256, 20210, 25727, 1323, 39369, 2520, 372, 634, 31750, 13, 100001, 2901, 2640, 317, 437, 11, 601, 15332, 30, 487, 993, 254, 43424, 13, 207, 2901, 549, 10420, 280, 254, 5030, 418, 642, 6171, 327, 254, 4731, 13, 1308, 2643, 536, 1743, 6053, 1285, 279, 254, 9243, 5984, 754, 745, 317, 4429, 2527, 1323, 254, 22425, 30, 2489, 643, 769, 75425, 1865, 1236, 276, 82181, 414, 21313, 18700, 48009, 30, 487, 207, 2901, 7094, 754, 643, 254, 5157, 280, 92552, 256, 803, 3510, 510, 276, 9397, 30, 487, 993, 10806, 862, 256, 13, 207, 2901, 3171, 975, 304, 441, 2525, 601, 1377, 20595, 30, 487, 207, 2901, 2054, 975, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2395, 3072, 975, 16252, 520, 543, 11, 754, 359, 317, 4540, 276, 40549, 285, 11626, 13, 8880, 317, 520, 4278, 11, 13095, 86752, 30, 487, 207, 2901, 2450, 11012, 2383, 11, 487, 993, 10806, 862, 256, 11, 207, 2901, 60172, 11, 2571, 15200, 13, 1955, 463, 845, 245, 4043, 279, 586, 18897, 13, 1474, 3444, 521, 2786, 330, 21861, 13, 429, 5653, 643, 5985, 13, 809, 2786, 521, 614, 581, 279, 245, 1228, 4043, 11, 285, 521, 2786, 330, 9765, 13, 100001, 46151, 0, 16925, 285, 14463, 30249, 2302, 331, 254, 5409, 0, 487, 2928, 39369, 2520, 7123, 254, 40549, 344, 438, 331, 857, 26619, 344, 362, 661, 2571, 2368, 742, 11626, 30769, 11, 285, 362, 23773, 4312, 11, 366, 40031, 12, 90663, 285, 375, 12082, 246, 4435, 857, 11, 1477, 10806, 862, 256, 4366, 1062, 2645, 362, 6626, 13869, 254, 2376, 2383, 13, 1474, 745, 657, 1503, 13095, 86752, 11, 1592, 40610, 279, 586, 21405, 11, 13595, 2065, 254, 2376, 13, 10082, 438, 49709, 1090, 359, 11, 285, 1461, 521, 786, 359, 11, 285, 521, 438, 12640, 55366, 366, 6246, 11, 1236, 254, 35592, 280, 13095, 86752, 285, 254, 4831, 9389, 26, 548, 372, 2618, 642, 4043, 661, 803, 845, 276, 254, 12692, 13, 2928, 39369, 2520, 13558, 254, 6313, 344, 2762, 17508, 279, 857, 11, 1236, 372, 254, 2156, 280, 586, 1823, 438, 8628, 1090, 586, 14518, 50196, 13, 100001, 2450, 44893, 581, 331, 276, 254, 267, 15305, 1466, 11, 285, 17811, 254, 10377, 668, 24404, 362, 27376, 1224, 1310, 11, 285, 20010, 857, 5135, 254, 4167, 13, 1474, 372, 362, 1216, 558, 13095, 86752, 8065, 30005, 285, 2424, 331, 586, 4209, 279, 586, 6267, 13, 100001, 23467, 862, 256, 3805, 372, 634, 36883, 473, 245, 84971, 11, 285, 254, 24138, 7648, 279, 586, 3545, 11, 285, 362, 46039, 26, 285, 362, 993, 25, 207, 2901, 4453, 441, 1529, 601, 4278, 473, 525, 0, 1063, 8104, 327, 525, 13, 487, 207, 2901, 2450, 8104, 11, 487, 993, 39369, 2520, 11, 207, 2901, 2381, 340, 2977, 1865, 276, 857, 2618, 13, 1494, 362, 1534, 9847, 19104, 331, 254, 12100, 280, 4349, 11, 285, 6642, 1275, 359, 441, 13, 100001, 79284, 520, 697, 317, 276, 614, 636, 276, 254, 8680, 280, 520, 5183, 11, 545, 3136, 472, 395, 4796, 276, 3530, 4172, 30, 5903, 1023, 395, 441, 614, 276, 4349, 2387, 457, 2387, 30, 487, 207, 2901, 73455, 317, 441, 2028, 276, 340, 11, 89964, 280, 92552, 256, 11, 276, 1835, 254, 5064, 280, 520, 4349, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 2280, 889, 254, 53929, 27198, 11, 1090, 254, 76716, 280, 254, 17514, 8604, 11, 1216, 4117, 11, 52318, 272, 4449, 279, 13881, 285, 22553, 11, 15674, 272, 704, 20848, 276, 11535, 704, 1377, 4349, 13, 487, 2928, 9989, 1184, 254, 4167, 362, 3061, 13095, 86752, 473, 254, 27661, 2558, 285, 9835, 857, 331 ]

[ 100000, 97807, 92490, 13, 809, 543, 330, 2018, 327, 857, 853, 13595, 279, 254, 4426, 1477, 3072, 5476, 13, 487, 207, 2901, 40, 543, 2240, 427, 21313, 18923, 285, 2146, 433, 7260, 11, 487, 993, 254, 6404, 13, 207, 2901, 5490, 2786, 10502, 366, 525, 430, 3923, 1492, 13, 429, 1610, 975, 614, 366, 52334, 1752, 285, 10502, 372, 3444, 372, 657, 463, 245, 2764, 13, 487, 207, 2901, 2124, 340, 543, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2395, 1099, 521, 254, 4583, 340, 975, 276, 254, 4831, 280, 254, 17188, 11, 276, 62220, 487, 82, 20593, 0, 487, 2803, 344, 2780, 245, 13423, 7276, 855, 768, 13, 429, 6464, 44267, 4759, 276, 330, 8963, 3423, 842, 13, 23435, 280, 254, 433, 7260, 7899, 636, 11, 285, 89494, 11, 9523, 704, 7921, 2330, 704, 11991, 11, 372, 565, 276, 22628, 842, 245, 10631, 473, 2330, 25, 245, 11922, 5663, 285, 245, 27661, 6159, 7276, 331, 768, 13, 339, 1175, 272, 657, 4133, 581, 13, 338, 10999, 79573, 6775, 5079, 855, 254, 12780, 837, 245, 3438, 6788, 13, 100001, 1385, 71046, 285, 2674, 8687, 11, 15892, 430, 245, 4583, 6146, 853, 688, 5409, 280, 14901, 12, 25914, 13, 429, 7524, 90308, 1323, 359, 13, 809, 438, 5418, 13, 100001, 5490, 6626, 581, 11, 25998, 372, 18134, 13, 39369, 2520, 438, 36545, 581, 11, 586, 7921, 636, 285, 63016, 11, 19813, 11, 586, 4054, 82558, 13, 100001, 2901, 45, 1758, 3441, 133, 215, 75, 0, 487, 362, 7899, 13, 207, 2901, 549, 35332, 280, 364, 694, 256, 13, 429, 10955, 317, 2450, 27376, 2302, 11, 9609, 37134, 43745, 372, 362, 7279, 13, 52334, 1752, 5496, 857, 13, 35566, 276, 375, 12082, 246, 11, 39369, 2520, 12389, 857, 581, 279, 586, 7921, 13, 207, 2901, 2054, 2786, 1865, 366, 525, 437, 766, 11, 487, 362, 993, 13, 207, 2901, 41403, 43745, 2786, 1296, 340, 586, 57068, 13, 487, 2928, 362, 7279, 276, 254, 1810, 1066, 362, 661, 25119, 13, 37134, 43745, 6626, 745, 2571, 13, 324, 2237, 272, 254, 1760, 8870, 588, 438, 521, 586, 39932, 3246, 586, 17459, 11, 254, 43424, 88837, 2065, 254, 7569, 487, 82, 1062, 13, 52334, 1752, 18949, 375, 12082, 246, 285, 845, 857, 279, 39369, 2520, 207, 487, 82, 7921, 11, 19878, 279, 38271, 285, 31228, 13, 100001, 2901, 93816, 5342, 0, 23028, 4311, 0, 487, 7899, 39369, 2520, 13, 207, 2901, 75243, 11, 37134, 43745, 0, 487, 429, 1228, 7569, 39381, 586, 1917, 13, 3848, 21897, 9960, 1278, 11743, 279, 254, 44267, 13, 2928, 362, 88837, 4312, 11, 735, 629, 272, 254, 6039, 11, 285, 438, 5418, 837, 254, 8687, 5409, 473, 254, 14499, 13, 100001, 2901, 32, 4171, 11, 1610, 1086, 2653, 0, 487, 993, 50762, 276, 52334, 1752, 13, 207, 2901, 7516, 22503, 463, 7289, 7767, 13, 1063, 1216, 441, 1121, 276, 5476, 11, 285, 362, 4579, 276, 10502, 366, 39369, 2520, 207, 891, 285, 745, 362, 5014, 0, 11987, 280, 1435, 4540, 881, 245, 8665, 3177, 276, 2039, 1285, 327, 2647, 372, 245, 11522, 13, 487, 207, 2901, 1847, 340, 661, 803, 254, 1022, 276, 10622, 254, 35100, 863, 12, 10287, 11, 285, 441, 362, 11, 946, 744, 359, 330, 1132, 30, 487, 993, 52334, 1752, 13, 207, 2901, 2054, 1667, 463, 2368, 9507, 13, 100001, 11604, 481, 1481, 30, 1474, 1132, 359, 317, 520, 7767, 276, 1865, 366, 525, 11, 304, 5663, 13, 2803, 2561, 13, 3659, 285, 752, 4599, 11, 285, 3792, 3270, 344, 375, 12082, 246, 2116, 4435, 13, 100001, 11345, 32483, 0, 487, 8075, 254, 39584, 37134, 43745, 438, 15892, 11, 27235, 642, 48873, 285, 642, 15594, 13, 22484, 853, 274, 5064, 661, 5079, 11, 285, 657, 661, 6889, 254, 417, 6570, 280, 2128, 255, 285, 17033, 768, 13, 429, 364, 729, 280, 254, 433, 7260, 285, 895, 6159, 68487, 2762, 14518, 4435, 768, 13, 100001, 47, 12082, 246, 438, 35167, 13, 1063, 438, 6284, 11, 548, 254, 5409, 279, 586, 3059, 438, 17164, 285, 30456, 13, 1063, 438, 366, 39369, 2520, 13, 429, 20040, 280, 254, 17365, 285, 280, 254, 49255, 13423, 855, 254, 12780, 438, 44582, 11, 2012, 2116, 4435, 279, 254, 95027, 280, 254, 14499, 410, 279, 245, 9989, 6267, 13, 1063, 12419, 245, 4399, 9004, 13, 100001, 2901, 40, 1216, 441, 1006, 340, 19354, 10922, 12, 1888, 11, 39369, 2520, 11, 487, 362, 993, 13, 207, 2901, 2054, 7398, 487, 83, 245, 25449, 410, 245, 69430, 0, 487, 207, 2901, 40, 536, 441, 10502, 77937, 12, 25391, 11, 5085, 331, 37134, 43745, 11, 487, 993, 39369, 2520, 13, 100001, 2901, 2395, 37134, 43745, 543, 463, 642, 31516, 13, 1257, 536, 441, 10502, 37134, 43745, 25, 362, 317, 9807, 276, 5652, 340, 207, 891, 410, 441, 13, 1273, 362, 317, 9807, 11, 344, 317, 2527, 13, 809, 317, 937, 586, 2105, 276, 1019, 344, 340, 4512, 331, 586, 1062, 11, 6838, 340, 12717, 842, 881, 254, 3207, 13, 487, 207, 2901, 2819, 4311, 317, 362, 1872, 30, 487, 3637, 375, 12082, 246, 13, 207, 2901, 31050, 457, 254, 5409, 11, 548, 1079, 6799, 13, 1308, 946, 2156, 586, 4414, 35364, 418, 0, 487, 207, 2901, 2450, 317, 3268, 1132, 372, 4311, 372, 254, 18847, 371, 7569, 1027, 70473, 11, 487, 7589, 39369, 2520, 26, 207, 2901, 2381, 344, 317, 441, 4311, 327, 857, 13, 429, 3114, 317, 12698, 245, 557, 254, 677, 369, 71, 8237, 639, 24079, 837, 3438, 68487, 13, 809, 543, 441, 330, 1234, 1323, 395, 5934, 254, 41654, 16672, 285, 1865, 276, 254, 1987, 11244, 12, 1651, 6182, 11, 1066, 254, 8680, 438, 19556, 984, 16919, 4084, 13, 487, 375, 12082, 246, 438, 13117, 1310, 327, 245, 1477, 13, 1063, 4101, 39369, 2520, 17003, 26380, 276, 3177, 11, 94676, 8749, 4505, 66511, 280, 55893, 279, 1313, 51773, 11, 372, 254, 6593, 7279, 1090, 768, 13, 2803, 1562, 254, 43424, 5079, 881, 245, 5654, 280, 588, 254, 38501, 3390, 9317, 254, 3073, 25, 245, 1860, 4303, 2373, 3662, 276, 586, 14501, 1184, 254, 32907, 280, 254, 5409, 25, 33337, 15007, 285, 8670, 27198, 14863, 2602, 1853, 11, 2461, 4832, 657, 473, 254, 1503, 1883, 3114, 8075, 254, 21897, 5532, 30, 32273, 7524, 285, 7960, 18134, 1308, 634, 3682, 5330, 13, 100001, 2901, 2640, 418, 340, 5366, 11, 39369, 2520, 3025, 487, 3637, 375, 12082, 246, 13, 100001, 2901, 40, 438, 953, 3268, 855, 742, 280, 254, 15298, 37855, 280, 25618, 279, 601, 2764, 11, 487, 7589, 254, 43424, 13, 207, 2901, 39, 659, 11834, 11, 304, 8259, 11, 463, 15503, 768, 11, 1236, 1462, 344, 657, 2647, 4437, 13, 487, 207, 2901, 3233, 11, 441, 521, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2280, 395, 463, 1313, 280, 769, 1377, 11, 588, 7358, 487, 83, 2190, 340, 11, 5216, 13, 1474, 304, 463, 1866, 4101, 437, 634, 13, 2461, 317, 359, 786, 207, 891, 254, 7960, 7524, 285, 7960, 18134, 30, 487, 207, 2901, 13664, 254, 5609, 401, 21313, 18700, 369, 280, 254, 23555, 280, 9320, 11, 487, 993, 39369, 2520, 13, 100001, 2901, 2280, 856, 418, 657, 30, 487, 207, 2901, 549, 1210, 7195, 344, 588, 4716, 2367, 2302, 13, 429, 35100, 863, 12, 10287, 438, 634, 13, 487, 207, 2901, 4631, 359, 438, 441, 1401, 11, 441, 1401, 487, 207, 891, 375, 12082, 246, 37247, 207, 891, 207, 2901, 1956, 254, 75425, 30, 487, 207, 2901, 3233, 11, 487, 993, 39369, 2520, 13, 207, 2901, 27322, 457, 10898, 8379, 13, 809, 317, 5897, 586, 2460, 11, 285, 5897, 9501, 60100, 487, 82, 1653, 13, 429, 5609, 401, 21313, 18700, 369, 2373, 473, 5897, 12732, 49877, 11, 473, 30599, 23687, 13, 429, 461, 843, 256, 1401, 768, 13, 7157, 124, 101, 37952, 3177, 11, 6642, 11, 35386, 768, 11, 279, 2507, 558, 1234, 4084, 344, 254, 766, 2977, 330, 9878, 279, 1555, 13, 1474, 745, 317, 3011, 344, 9501, 60100, 2977, 1947, 276, 11626, 5131, 13, 100001, 60345, 327, 10898, 8379, 0, 809, 438, 586, 80931, 11, 372, 304, 1132, 28725, 13, 3053, 296, 625, 276, 450, 521, 418, 254, 6211, 280, 274, 2460, 16244, 853, 395, 8057, 9856, 13, 11169, 362, 1534, 8982, 254, 18449, 13, 66565, 0, 276, 2240, 359, 6486, 11, 327, 586, 1377, 13518, 13, 100001, 3233, 1734, 1216, 362, 2647, 3753, 280, 359, 276, 688, 280, 254, 9288, 13, 1003, 661, 441, 2618, 2028, 2215, 276, 254, 17196, 280, 254, 5609, 401, 21313, 18700, 369, 280, 92552, 256, 279, 895, 22204, 625, 27770, 13, 3563, 10889, 657, 778, 3308, 15503, 13, 6809, 279, 92552, 256, 657, 778, 245, 6486, 3185, 889, 276, 245, 1860, 26, 279, 1576, 18382, 657, 778, 16663, 889, 384, 35543, 430, 3442, 9789, 276, 558, 1313, 4313, 11, 285, 3860, 12, 6209, 946, 1234, 359, 744, 1562, 13, 100001, 2901, 1898, 1019, 2367, 842, 11, 285, 276, 43984, 279, 2215, 366, 634, 1913, 11, 487, 993, 39369, 2520, 13, 207, 2901, 774, 344, 1143, 657, 1234, 44484, 285, 24394, 254, 26210, 280, 92552, 256, 13, 1955, 845, 581, 64465, 430, 4302, 281, 1640, 256, 11, 285, 430, 4302, 281, 94921, 296, 11, 285, 430, 35100, 863, 279, 254, 7987, 280, 2128, 1227, 494, 13, 429, 8037, 285, 5738, 280, 1069, 438, 1090, 254, 80929, 280, 29969, 430, 508, 7644, 5187, 511, 1323, 895, 22204, 13, 429, 1853, 3072, 778, 2367, 2302, 279, 254, 5226, 13, 685, 254, 2558, 280, 1473, 81, 1089, 359, 317, 3542, 344, 657, 778, 430, 1640, 3009, 21313, 1521, 281, 11, 285, 338, 2321, 7641, 133, 215, 75, 11, 285, 1473, 409, 296, 487, 82, 17365, 438, 331, 254, 25943, 23103, 344, 1068, 5135, 364, 349, 75, 1089, 279, 254, 28311, 280, 413, 3122, 1066, 254, 14518, 15007, 9279, 13, 100001, 2901, 10005, 5609, 401, 21313, 18700, 81, 8137, 276, 1319, 11, 548, 521, 1462, 279, 92552, 256, 778, 2647, 1721, 276, 254, 2343, 280, 508, 7644, 5187, 511, 13, 4201, 359, 6266, 344, 11, 372, 254, 6796, 280, 35100, 863, 643, 366, 8321, 254, 38237, 280, 766, 11, 558, 745, 254, 5609, 401, 21313, 18700, 81, 280, 344, 18972, 643, 10471, 13, 1474, 5254, 359, 1027, 536, 3011, 548, 1019, 1760, 5282, 280, 2012, 2367, 842, 285, 2507, 9409, 13, 15429, 5629, 11, 642, 5914, 11, 344, 438, 276, 10898, 8379, 26, 2618, 359, 3354, 344, 362, 438, 441, 3093, 13, 10327, 285, 3572, 17970, 362, 32182, 11, 2645, 362, 4733, 586, 24529, 2065, 4643, 308, 12, 678, 133, 215, 428, 13, 2928, 362, 438, 9317, 0, 207, 2901, 11604, 7466, 1066, 254, 4739, 64465, 280, 1576, 18382, 285, 92552, 256, 1132, 9279, 11, 19268, 11, 410, 45257, 4399, 30, 1474, 634, 430, 2754, 9501, 60100, 1534, 463, 5340, 285, 59407, 276, 586, 9993, 13, 304, 6384, 344, 359, 438, 254, 94921, 296, 12, 10287, 11, 327, 362, 3061, 4302, 281, 94921, 296, 1234, 4084, 285, 4540, 359, 881, 274, 11626, 1810, 25, 4302, 281, 74253, 341, 11, 359, 643, 3261, 13, 100001, 2901, 39317, 359, 317, 1132, 276, 6384, 946, 5397, 254, 813, 3562, 6011, 280, 10898, 8379, 438, 33137, 285, 4586, 26, 285, 946, 2647, 1962, 362, 643, 803, 38337, 473, 60144, 11, 285, 7341, 23090, 754, 68632, 744, 441, 5043, 13, 429, 270, 2678, 2683, 11, 254, 64012, 1090, 254, 44603, 487, 82, 4414, 11, 254, 44742, 279, 245, 10586, 3779, 0, 1724, 1234, 11, 304, 3860, 11, 643, 362, 803, 26746, 276, 1865, 2752, 276, 586, 6696, 327, 20755, 285, 12244, 11, 285, 254, 35100, 863, 12, 10287, 558, 18261, 5135, 4643, 308, 12, 678, 133, 215, 81, 344, 11, 565, 688, 4617, 245, 543, 280, 78135, 401, 1132, 4716, 881, 359, 11, 359, 543, 8982, 586, 2764, 285, 7702, 35503, 44081, 30, 1308, 946, 359, 24259, 634, 276, 3964, 2081, 10351, 304, 441, 4749, 359, 30, 6809, 1132, 601, 2997, 25372, 276, 1727, 601, 543, 2065, 359, 11, 276, 1019, 565, 304, 1027, 441, 66481, 359, 473, 857, 285, 1947, 359, 1066, 304, 744, 207, 891, 276, 1068, 3246, 254, 5505, 27094, 280, 2354, 285, 280, 766, 276, 41821, 277, 254, 13421, 11, 285, 28725, 254, 96858, 510, 1297, 285, 2764, 280, 7157, 124, 101, 37952, 430, 704, 830, 11, 1477, 1572, 254, 7883, 18340, 285, 254, 19778, 778, 279, 15583, 0, 487, 1063, 34456, 285, 7276, 13117, 13, 100001, 2901, 40, 4796, 304, 661, 3185, 521, 437, 1323, 11, 487, 993, 375, 12082, 246, 13, 207, 2901 ]

[ 100000, 52339, 13, 429, 13108, 7279, 6044, 430, 1562, 11, 581, 274, 79415, 26, 285, 430, 254, 1225, 11, 5505, 1721, 11, 778, 1228, 4974, 11394, 11, 5881, 3748, 276, 4399, 44109, 2367, 2877, 254, 1461, 27250, 280, 254, 18972, 13, 47183, 254, 2489, 5508, 366, 704, 18953, 661, 5079, 4650, 13, 100001, 38, 22793, 361, 285, 1783, 361, 6452, 778, 10894, 3345, 254, 8364, 13, 100001, 22407, 4101, 245, 13326, 280, 70308, 17003, 11, 998, 2728, 280, 44055, 285, 95975, 280, 307, 25572, 11, 245, 49255, 43271, 416, 13, 452, 22793, 361, 285, 1783, 361, 6452, 778, 2571, 331, 254, 12100, 13, 100001, 22407, 58062, 285, 6243, 1747, 900, 272, 11, 548, 586, 1585, 5136, 438, 45257, 279, 254, 45571, 13, 2366, 634, 35871, 271, 857, 13, 100001, 549, 1228, 11394, 78253, 276, 13, 61897, 13, 429, 14643, 280, 8752, 7276, 881, 1810, 4650, 13, 1861, 673, 13, 429, 8364, 438, 7574, 13, 7421, 65841, 3177, 2481, 254, 81546, 92380, 21180, 285, 7276, 76660, 276, 254, 3419, 13, 1063, 438, 636, 279, 254, 16342, 13, 21675, 2860, 438, 13260, 548, 3443, 457, 254, 75425, 13, 27024, 207, 16, 31168, 3156, 323, 4720, 9757, 375, 12082, 246, 4133, 636, 473, 254, 20873, 280, 39369, 2520, 207, 487, 82, 38271, 13, 1063, 21517, 565, 362, 438, 28183, 410, 1592, 17483, 11, 1592, 279, 254, 18847, 12, 39995, 6267, 279, 588, 362, 661, 803, 19878, 558, 1234, 1962, 254, 1228, 10502, 4732, 13, 429, 4426, 1843, 438, 32907, 457, 285, 254, 5409, 19544, 40776, 279, 586, 14501, 13, 1063, 1027, 1019, 3011, 548, 254, 11712, 272, 7524, 11, 285, 2302, 276, 586, 1329, 10999, 25851, 2481, 254, 9539, 1066, 254, 14499, 280, 254, 5178, 33378, 2882, 13, 27682, 1214, 362, 3657, 276, 35442, 254, 2602, 285, 15848, 280, 704, 8398, 11, 548, 586, 4887, 438, 68092, 88, 285, 9242, 13, 100001, 2960, 661, 803, 254, 1022, 10502, 430, 12906, 4583, 1673, 245, 24697, 11, 285, 937, 279, 254, 23608, 362, 661, 2826, 245, 14211, 53353, 280, 5299, 11, 285, 657, 661, 1865, 276, 254, 13117, 4660, 285, 254, 1228, 7137, 2558, 331, 254, 12967, 13, 1308, 10983, 661, 657, 6889, 895, 20873, 754, 254, 79573, 13423, 661, 5079, 855, 2561, 1310, 11, 285, 1743, 42601, 271, 366, 5663, 13, 1474, 39369, 2520, 661, 13451, 2838, 3073, 276, 857, 11, 285, 362, 661, 25119, 279, 245, 8089, 11, 13400, 548, 45616, 11, 66456, 6737, 280, 385, 791, 285, 614, 791, 285, 280, 1743, 6807, 285, 39369, 2520, 5749, 9162, 13, 1308, 937, 1310, 17040, 11, 17040, 279, 254, 2653, 13, 100001, 1567, 438, 254, 1864, 11, 642, 11, 254, 4443, 2653, 1962, 362, 661, 4133, 279, 254, 17365, 13, 1308, 366, 344, 49255, 4887, 362, 33734, 5595, 11, 285, 90055, 11, 285, 254, 6565, 280, 254, 5409, 5322, 8148, 366, 85267, 18887, 13, 100001, 32, 2156, 78293, 279, 254, 9539, 11, 245, 48408, 280, 10421, 4043, 4435, 4426, 3253, 12, 4397, 408, 13, 375, 12082, 246, 13917, 1883, 1062, 11, 10297, 327, 245, 2780, 11, 11978, 881, 856, 27723, 3085, 39369, 2520, 438, 17090, 857, 13, 1063, 47501, 586, 3545, 11, 285, 937, 362, 3505, 344, 359, 438, 254, 12780, 12698, 2330, 254, 23535, 25851, 11, 1132, 3308, 430, 254, 2201, 13, 2086, 254, 2653, 438, 441, 2618, 1712, 285, 327, 3821, 254, 4426, 8398, 744, 614, 331, 13, 1063, 38087, 285, 8921, 13, 100001, 2901, 9595, 418, 395, 11, 39369, 2520, 3025, 487, 362, 3637, 13, 100001, 2901, 774, 254, 26210, 280, 92552, 256, 11, 487, 254, 43424, 7589, 13, 207, 2901, 549, 3114, 280, 1640, 78, 21313, 19646, 317, 1592, 9989, 457, 13, 487, 2071, 438, 245, 12114, 1310, 327, 245, 1477, 13, 2928, 11, 207, 2901, 2640, 317, 344, 30, 487, 7899, 375, 12082, 246, 8963, 11, 41390, 272, 430, 39369, 2520, 207, 487, 82, 38271, 13, 207, 2901, 9610, 0, 11365, 11, 3074, 4043, 0, 6475, 745, 63323, 279, 437, 3114, 30, 8967, 11, 745, 317, 1913, 0, 487, 1494, 3510, 39369, 2520, 7899, 30294, 276, 586, 7569, 13, 207, 2901, 2921, 11, 37134, 43745, 0, 1003, 1534, 65354, 13, 6930, 317, 2577, 13, 5129, 0, 429, 330, 54435, 280, 92552, 256, 418, 96064, 11, 9609, 327, 10731, 13, 6368, 317, 78293, 13, 5129, 11, 745, 317, 254, 4043, 331, 338, 2321, 414, 133, 215, 18700, 77, 11, 285, 24138, 331, 427, 296, 255, 683, 26, 285, 745, 657, 614, 58929, 11348, 25, 461, 494, 314, 11, 427, 3800, 281, 11, 4302, 12, 49, 309, 2321, 11, 3720, 255, 5728, 11, 285, 254, 19002, 351, 348, 2008, 331, 254, 26922, 247, 18949, 581, 586, 1917, 285, 442, 35636, 13, 1308, 636, 280, 254, 16342, 254, 25818, 5345, 280, 750, 11549, 2373, 26, 285, 20737, 254, 288, 484, 4838, 280, 78654, 438, 4101, 11, 285, 1853, 33819, 24671, 581, 285, 5079, 837, 15892, 46049, 279, 254, 12780, 285, 35638, 881, 254, 5653, 13, 2928, 37134, 43745, 15629, 3177, 2854, 285, 27376, 2302, 11, 285, 254, 2653, 51486, 855, 857, 837, 245, 54613, 5409, 13, 100001, 47, 12082, 246, 5322, 68092, 88, 1310, 285, 6972, 1585, 5379, 276, 39369, 2520, 11051, 857, 280, 254, 29146, 280, 92552, 256, 11, 285, 946, 254, 5157, 280, 254, 5183, 661, 330, 54435, 4930, 331, 254, 26405, 280, 636, 6061, 17188, 2726, 1572, 26922, 280, 254, 1228, 3169, 11, 285, 16162, 10105, 430, 1069, 3487, 1066, 5583, 11549, 778, 1958, 279, 42757, 276, 8982, 586, 58205, 12, 3736, 408, 276, 50316, 261, 279, 254, 5226, 11, 410, 276, 48781, 79102, 279, 254, 5178, 13, 207, 2901, 1385, 317, 1234, 1962, 254, 330, 54435, 280, 254, 5226, 778, 11769, 11, 487, 362, 993, 26, 207, 2901, 384, 279, 254, 10641, 2507, 280, 92552, 256, 657, 778, 441, 4067, 11, 327, 657, 661, 254, 32273, 64465, 13, 487, 375, 12082, 246, 38087, 96957, 13, 100001, 2901, 42292, 1310, 11, 285, 536, 441, 330, 10297, 0, 487, 993, 39369, 2520, 13, 207, 2901, 1988, 340, 418, 441, 1872, 837, 21675, 2860, 276, 364, 694, 256, 11, 548, 276, 4302, 281, 41821, 349, 11, 285, 745, 340, 543, 330, 372, 5730, 372, 340, 481, 330, 10279, 279, 1069, 2507, 13, 1273, 92552, 256, 15300, 11, 410, 254, 26500, 317, 3443, 11, 937, 254, 1783, 641, 543, 330, 642, 20557, 13, 487, 207, 2901, 2054, 536, 441, 5186, 525, 11, 487, 993, 375, 12082, 246, 11, 548, 39786, 5476, 39262, 855, 857, 13, 429, 1562, 2421, 344, 362, 16663, 1323, 362, 7276, 881, 4399, 6267, 438, 245, 30716, 280, 1461, 3682, 24079, 11, 70673, 272, 837, 17864, 317, 878, 2330, 254, 16785, 372, 657, 9317, 254, 2156, 280, 254, 259, 12651, 272, 12780, 13, 100001, 2450, 21517, 1066, 21675, 2860, 438, 11, 285, 565, 362, 438, 2571, 279, 364, 694, 256, 11, 410, 565, 362, 438, 5030, 26, 285, 362, 1216, 441, 1006, 344, 21675, 2860, 473, 2367, 2302, 4133, 331, 344, 1246, 12780, 372, 359, 845, 5897, 92552, 256, 31076, 254, 4321, 280, 254, 1492, 13, 100001, 47, 12082, 246, 33734, 276, 254, 3066, 280, 18887, 13, 11727, 1492, 280, 25103, 285, 245, 2653, 280, 8398, 661, 19093, 271, 457, 13, 809, 438, 45660, 25, 254, 6159, 23608, 438, 430, 1297, 1310, 11, 285, 28599, 14518, 95027, 778, 786, 768, 13, 37134, 43745, 6626, 78920, 366, 27282, 11, 548, 362, 4586, 586, 10225, 35846, 285, 7363, 642, 1472, 280, 77774, 13, 8410, 8670, 1743, 16917, 25985, 8910, 6626, 13869, 857, 11, 285, 4435, 768, 279, 254, 6389, 645, 20200, 245, 4239, 280, 8665, 13, 4386, 326, 22204, 625, 359, 4759, 11, 548, 2571, 1323, 254, 2653, 438, 5079, 254, 3066, 280, 22534, 20128, 1027, 330, 4101, 25, 8896, 280, 49399, 408, 11, 497, 796, 280, 244, 730, 1291, 11, 285, 254, 1267, 559, 280, 20532, 13, 7456, 3250, 285, 70178, 91124, 263, 25871, 1285, 285, 745, 279, 254, 27464, 13, 39369, 2520, 438, 9034, 276, 254, 1743, 344, 59675, 586, 1143, 11, 285, 372, 362, 19240, 375, 12082, 246, 5322, 6737, 344, 362, 3177, 438, 1435, 9147, 13, 100001, 2901, 58676, 8099, 11, 395, 1006, 340, 11, 364, 349, 21192, 348, 11, 487, 993, 254, 10164, 280, 254, 1743, 11, 207, 2901, 384, 340, 1006, 254, 1452, 12, 10422, 280, 254, 32273, 42166, 285, 418, 2094, 276, 43321, 384, 430, 437, 766, 11, 6838, 657, 330, 18995, 1743, 280, 7921, 279, 4318, 6830, 285, 1345, 395, 481, 5442, 13, 487, 207, 2901, 40, 543, 74450, 327, 857, 1323, 254, 9888, 280, 10806, 862, 256, 11, 487, 993, 39369, 2520, 13, 100001, 2901, 2280, 372, 327, 90689, 11, 344, 2977, 330, 13637, 457, 61204, 13, 1063, 643, 5079, 1184, 691, 29244, 285, 77643, 853, 340, 463, 11, 685, 26359, 11, 2451, 340, 330, 9682, 586, 5484, 26, 285, 362, 3450, 1132, 473, 254, 10955, 272, 280, 2128, 1227, 494, 11, 280, 588, 395, 8982, 58285, 11, 285, 1228, 77774, 317, 331, 857, 11, 410, 304, 744, 15511, 857, 13, 3848, 1210, 317, 13757, 97807, 11, 245, 1079, 60851, 668, 13, 487, 207, 2901, 3856, 30, 487, 993, 685, 26359, 16677, 10009, 11, 285, 254, 3072, 14032, 13, 100001, 2901, 3856, 0, 487, 7899, 375, 12082, 246, 11, 1132, 16523, 46850, 13, 207, 2901, 3856, 0, 13788, 441, 0, 304, 608, 245, 38501, 3390, 285, 642, 691, 60851, 853, 304, 608, 245, 668, 11, 4617, 5216, 1132, 285, 1310, 457, 17808, 13, 3132, 441, 1632, 39369, 2520, 51347, 340, 0, 487, 207, 2901, 11562, 245, 536, 250, 280, 1228, 31977, 1667, 1481, 642, 691, 11, 487, 993, 685, 26359, 13, 207, 2901, 2395, 856, 317, 245, 38501, 3390, 30, 487, 207, 2901, 32, 25309, 2237, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 38157, 11, 441, 254, 634, 344, 438, 13451, 280, 11, 487, 362, 3746, 7123, 254, 3860, 279, 254, 1743, 487, 82, 12472, 13, 207, 2901, 3647, 362, 11, 2618, 634, 280, 586, 60605, 13, 487, 207, 2901, 5661, 11, 285, 634, 779, 8398, 271, 366, 857, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2280, 15364, 283, 348, 280, 520, 5183, 438, 366, 450, 11, 285, 362, 9638, 525, 279, 254, 8485, 82, 280, 254, 5226, 11, 285, 430, 254, 1562, 362, 438, 38251, 36720, 525, 473, 1313, 48648, 13, 487, 207, 2901, 64905, 0, 487, 993, 39369, 2520, 13, 207, 2901, 549, 4921, 280, 344, 20110, 1023, 463, 803, 3542, 1022, 276, 254, 4209, 13, 487, 207, 2901, 1385, 643, 803, 35375, 2571, 11, 487, 993, 685, 26359, 26, 207, 2901, 1467, 745, 463, 803, 8387, 2259, 713, 1285, 280, 5189, 13, 1474, 1452, 331, 1132, 5397, 0, 1494, 254, 5157, 280, 4302, 281, 41821, 349, 543, 330, 14160, 276, 1019, 688, 344, 8982, 254, 5901, 58285, 280, 586, 4278, 11, 330, 362, 668, 410, 16324, 487, 207, 2901, 39, 659, 3390, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 29176, 2418, 481, 304, 3685, 276, 520, 15332, 11, 548, 856, 304, 481, 536, 11, 304, 744, 536, 11, 38151, 15364, 283, 348, 254, 18127, 13, 487, 207, 2901, 93816, 340, 1136, 0, 487, 993, 685, 26359, 26, 285, 254, 1743, 1401, 1143, 327, 37134, 43745, 11, 285, 362, 5079, 1184, 245, 9745, 8364, 279, 254, 4239, 13, 207, 2901, 8894, 340, 3792, 1207, 15521, 276, 10806, 862, 256, 279, 586, 933, 11, 285, 276, 450, 521, 11, 364, 349, 21192, 348, 0, 487, 685, 26359, 7899, 13, 207, 2901, 2395, 340, 1865, 366, 58285, 280, 20110, 285, 7082, 11, 372, 317, 520, 25395, 11, 657, 1481, 13, 487, 207, 2901, 13775, 304, 1865, 24496, 548, 754, 601, 1345, 317, 4067, 11, 487, 7589, 39369, 2520, 13, 207, 2901, 2280, 372, 327, 15521, 11, 276, 340, 304, 744, 1481, 344, 340, 418, 855, 12, 12407, 279, 48034, 254, 4239, 280, 254, 19798, 3926, 256, 13, 92118, 543, 1132, 330, 520, 1608, 22782, 2481, 254, 10955, 344, 317, 430, 1297, 207, 891, 344, 285, 1108, 3655, 372, 304, 3792, 13, 1494, 441, 521, 254, 58285, 344, 304, 3792, 418, 11626, 13, 1474, 4283, 520, 244, 730, 1291, 285, 65653, 520, 44914, 0, 487, 207, 2901, 549, 830, 543, 330, 7370, 31076, 6787, 11, 487, 993, 685, 26359, 13, 207, 2901, 1567, 317, 254, 1562, 10251, 280, 254, 4239, 276, 330, 1957, 279, 22782, 25, 254, 2754, 1721, 276, 4860, 11, 327, 359, 4716, 5135, 769, 3997, 280, 50316, 261, 13, 3132, 340, 1006, 65768 ]

[ 100000, 34237, 581, 254, 25943, 276, 254, 5157, 280, 254, 26500, 86, 402, 349, 82, 11, 285, 1132, 327, 1234, 1555, 359, 661, 803, 4586, 457, 11626, 2012, 13, 5512, 586, 972, 276, 364, 694, 256, 11, 9501, 60100, 661, 1503, 359, 5629, 26, 327, 362, 661, 1860, 20595, 548, 1313, 21209, 280, 5663, 11, 285, 1592, 895, 8037, 5487, 372, 280, 1712, 438, 276, 5120, 10778, 473, 364, 694, 256, 13, 15062, 565, 274, 9470, 778, 558, 41608, 372, 276, 1682, 276, 5223, 344, 3114, 39841, 11, 937, 359, 438, 839, 245, 1562, 5211, 4102, 272, 6839, 2481, 688, 344, 1667, 1452, 254, 85674, 280, 74253, 341, 285, 280, 22939, 659, 13, 100001, 11723, 1653, 7765, 7421, 3505, 946, 30967, 359, 744, 330, 327, 857, 276, 31279, 1224, 1090, 1462, 1313, 12, 32078, 9906, 285, 1452, 254, 71504, 8364, 13, 100001, 2280, 1236, 565, 362, 1216, 558, 11, 362, 1027, 441, 614, 2367, 331, 254, 44484, 4559, 5897, 25, 441, 1236, 254, 3438, 25851, 11, 13595, 4399, 1066, 254, 3074, 23191, 1027, 441, 5934, 11, 744, 16352, 857, 1234, 473, 254, 2653, 12, 32078, 410, 5508, 13, 100001, 2395, 23872, 372, 344, 4559, 1667, 330, 11, 586, 5266, 438, 1132, 2367, 9507, 25, 441, 276, 4945, 254, 8364, 285, 10778, 11, 548, 276, 5223, 359, 11, 5254, 13, 100001, 11126, 2215, 4540, 276, 254, 26500, 11, 548, 745, 438, 642, 5186, 745, 11, 889, 14489, 285, 7082, 13, 2366, 19026, 661, 362, 1865, 279, 7702, 280, 7408, 78521, 11, 15200, 2367, 2302, 11, 853, 362, 438, 6737, 280, 245, 2262, 279, 586, 18953, 13, 100001, 2124, 359, 12419, 3345, 254, 1228, 6874, 2265, 1066, 11, 279, 254, 315, 2057, 280, 766, 11, 359, 661, 803, 24277, 285, 59739, 11, 254, 26500, 487, 82, 1823, 10318, 11, 285, 359, 5322, 691, 7276, 11, 21588, 471, 510, 4617, 457, 742, 18995, 543, 13, 1733, 7421, 6626, 745, 11, 1236, 2451, 254, 26500, 438, 441, 331, 857, 548, 16608, 457, 895, 8369, 786, 586, 994, 364, 694, 256, 13, 1063, 4749, 344, 362, 661, 473, 1132, 331, 889, 984, 11158, 25, 276, 76206, 254, 26500, 11, 2451, 359, 744, 42018, 857, 26, 410, 276, 4351, 359, 11, 285, 8919, 254, 8604, 344, 2659, 279, 895, 4426, 2785, 5897, 254, 17432, 280, 25851, 13, 47183, 254, 26500, 34638, 857, 11, 87983, 272, 430, 586, 543, 285, 2806, 13, 15944, 92782, 23548, 279, 586, 2764, 26, 285, 362, 3505, 7421, 3740, 254, 29820, 11, 24825, 280, 254, 20169, 11, 1406, 3645, 366, 245, 62948, 16356, 3246, 254, 63125, 3114, 11, 285, 35546, 32141, 272, 276, 586, 1282, 372, 362, 33378, 276, 254, 63230, 280, 4643, 308, 12, 678, 133, 215, 81, 13, 1308, 937, 521, 254, 16785, 19178, 2302, 11, 285, 254, 3682, 4281, 34597, 11, 285, 430, 586, 2525, 254, 70140, 280, 73740, 256, 1034, 5322, 245, 8324, 280, 10252, 285, 7636, 285, 4832, 8188, 9606, 13, 1063, 661, 889, 276, 1957, 331, 254, 26500, 285, 4351, 359, 327, 586, 1377, 11, 285, 521, 437, 1027, 330, 13, 100001, 774, 344, 5064, 280, 10075, 359, 438, 254, 2126, 280, 586, 5738, 344, 8579, 1094, 276, 2785, 857, 6174, 26, 548, 839, 4399, 1224, 279, 857, 8663, 1592, 46614, 91914, 586, 8800, 38501, 3390, 12, 29623, 25, 362, 4437, 279, 254, 6906, 280, 586, 2997, 344, 362, 438, 441, 2317, 2527, 276, 8982, 1108, 245, 18953, 11, 1236, 565, 1108, 42993, 778, 441, 245, 12596, 42357, 276, 24676, 857, 13, 429, 634, 1760, 8324, 280, 245, 2094, 64319, 438, 521, 586, 933, 285, 3266, 11, 441, 245, 8324, 57276, 276, 245, 26210, 26, 586, 1377, 4054, 276, 938, 11, 441, 254, 4054, 280, 3072, 276, 2525, 13, 100001, 2901, 2280, 12344, 521, 1069, 32732, 418, 889, 245, 11311, 11, 487, 362, 993, 276, 3177, 13, 100001, 2901, 2450, 487, 67, 7056, 525, 285, 13917, 525, 11, 1323, 304, 1027, 558, 1266, 372, 14581, 636, 13, 100001, 2450, 487, 67, 7056, 525, 11, 4245, 3399, 11, 565, 304, 1957, 254, 26500, 331, 1132, 11, 279, 364, 694, 256, 13, 100001, 6636, 11, 521, 304, 481, 1481, 317, 25, 2012, 1068, 372, 30967, 372, 245, 27590, 279, 13336, 13, 4983, 754, 1435, 25764, 744, 330, 1921, 5629, 11, 304, 481, 487, 83, 938, 254, 26500, 0, 1308, 565, 2647, 304, 752, 688, 3572, 11, 359, 487, 82, 1872, 276, 330, 3011, 548, 245, 10504, 285, 245, 18953, 1131, 3458, 13, 2086, 856, 487, 82, 276, 330, 2368, 30, 487, 1063, 438, 441, 1921, 279, 688, 5914, 13, 1063, 4437, 344, 362, 1534, 614, 1224, 276, 254, 8364, 285, 441, 51334, 688, 691, 13, 2991, 245, 93403, 280, 586, 17459, 11, 372, 565, 276, 22689, 842, 254, 13423, 285, 18363, 254, 1117, 401, 5932, 11, 362, 4732, 9405, 276, 17331, 13, 2991, 1319, 3458, 362, 4759, 276, 56975, 13, 1063, 661, 441, 5418, 2367, 1323, 362, 661, 77349, 1310, 276, 245, 1079, 1760, 285, 27822, 38501, 3390, 13, 1063, 438, 1132, 9989, 1090, 254, 1079, 9906, 280, 254, 25943, 11, 285, 254, 29493, 285, 7642, 280, 13286, 1027, 330, 4101, 366, 586, 1048, 2269, 14501, 13, 100001, 3567, 254, 2780, 254, 6565, 4759, 276, 330, 4321, 473, 254, 6518, 4435, 254, 12881, 4239, 13, 100001, 22407, 438, 786, 3222, 1143, 1224, 254, 3088, 754, 636, 280, 254, 4426, 27521, 881, 254, 3074, 23191, 745, 2373, 984, 410, 5508, 3268, 13, 1955, 1216, 441, 1947, 5135, 857, 13, 1955, 778, 2883, 327, 254, 1969, 4559, 26, 548, 1236, 372, 657, 7279, 657, 38950, 285, 7276, 276, 254, 3419, 285, 2762, 1592, 13, 7421, 661, 2826, 642, 25698, 11, 548, 362, 35375, 344, 254, 410, 5508, 661, 803, 7468, 1224, 457, 3072, 331, 254, 8680, 1180, 410, 8628, 279, 254, 13423, 280, 254, 8364, 13, 14258, 13888, 5144, 11, 1673, 245, 14788, 410, 64902, 11, 276, 855, 57017, 12707, 837, 32817, 5610, 13, 429, 8364, 438, 254, 889, 1143, 13, 100001, 2450, 39262, 331, 26, 285, 372, 362, 2674, 362, 21517, 946, 1313, 410, 5508, 8663, 279, 254, 25943, 366, 1783, 361, 6452, 11, 285, 946, 1313, 452, 22793, 361, 661, 11, 285, 856, 657, 778, 89295, 272, 786, 11, 565, 344, 438, 856, 438, 12058, 13, 1783, 361, 6452, 487, 82, 2607, 661, 4759, 276, 330, 786, 17205, 11, 285, 452, 22793, 361, 487, 82, 691, 853, 9682, 372, 2317, 26, 548, 280, 2629, 1783, 361, 6452, 487, 82, 43563, 661, 889, 803, 245, 697, 280, 586, 44522, 13, 33780, 6062, 657, 778, 89295, 272, 786, 21675, 2860, 11, 285, 254, 34519, 13, 1494, 245, 1864, 7421, 41639, 11, 327, 8963, 2012, 4759, 3662, 276, 857, 11, 3308, 372, 565, 362, 661, 2826, 768, 366, 586, 3545, 13, 429, 273, 349, 8474, 14459, 0, 4947, 2629, 11, 21675, 2860, 438, 13844, 359, 11, 285, 657, 744, 1275, 359, 13, 1308, 473, 856, 7421, 661, 4101, 452, 22793, 361, 744, 92544, 359, 13, 1474, 254, 9162, 280, 254, 17514, 25943, 778, 430, 1828, 21675, 2860, 487, 82, 889, 8244, 11, 285, 565, 657, 778, 845, 12159, 11, 21675, 2860, 1667, 330, 9571, 636, 280, 1297, 430, 688, 2780, 13, 100001, 2901, 17095, 331, 11, 340, 25758, 60207, 494, 0, 487, 7421, 7899, 276, 3177, 13, 207, 2901, 4388, 327, 359, 0, 487, 1063, 12419, 900, 272, 285, 7279, 5135, 254, 1721, 8364, 13, 1474, 953, 372, 362, 438, 786, 276, 1452, 1090, 895, 1228, 3949, 362, 4749, 245, 11163, 25, 372, 565, 362, 661, 1409, 881, 742, 3779, 837, 22939, 659, 487, 82, 11, 889, 25764, 13, 1063, 1027, 1019, 642, 33672, 11, 548, 1874, 1653, 2955, 327, 586, 543, 276, 16988, 59675, 254, 1143, 13, 1063, 4133, 786, 11, 285, 937, 2383, 254, 13423, 280, 254, 8364, 362, 3505, 254, 9298, 20316, 17994, 13, 100001, 5490, 778, 837, 1228, 10742, 21928, 2065, 288, 31157, 13, 7915, 661, 1853, 10213, 12792, 11, 285, 1853, 11991, 14087, 29985, 11, 285, 35011, 11, 285, 3246, 254, 27521, 13, 429, 11991, 661, 353, 12204, 12, 9116, 11, 285, 331, 704, 1228, 20661, 778, 9835, 60961, 4018, 4054, 13, 1955, 4759, 276, 330, 35352, 636, 280, 6791, 9410, 280, 8665, 11, 5191, 56594, 11, 285, 2618, 657, 778, 6737, 25, 742, 27723, 5786, 280, 11626, 85674, 48717, 279, 768, 13, 1955, 4437, 274, 9470, 13, 9098, 1051, 410, 25764, 5249, 1027, 1452, 405, 247, 50913, 13, 1955, 744, 51362, 586, 6054, 11, 410, 586, 10778, 13, 100001, 25004, 4010, 586, 543, 7421, 23773, 4312, 2561, 1310, 11, 285, 41639, 366, 245, 48392, 11, 62827, 372, 565, 473, 245, 10631, 2065, 586, 12960, 285, 1917, 13, 2928, 11246, 35010, 11, 1373, 362, 1027, 1378, 280, 3011, 1979, 276, 536, 11, 25818, 245, 6363, 2215, 344, 2373, 276, 857, 11, 362, 12419, 9405, 636, 254, 1117, 499, 280, 7646, 308, 20856, 285, 4586, 359, 581, 13, 9904, 3682, 2156, 3399, 2954, 35503, 11, 285, 254, 25851, 1090, 254, 4426, 3949, 24517, 13, 429, 52871, 20316, 17994, 2659, 745, 6159, 285, 1592, 11, 13558, 279, 521, 704, 49255, 6775, 13, 1494, 245, 2780, 7421, 9317, 245, 32587, 279, 254, 3438, 18134, 280, 704, 3545, 11, 254, 1079, 61919, 280, 588, 1401, 857, 445, 680, 26, 548, 9405, 362, 4749, 704, 543, 8647, 329, 285, 1842, 22196, 881, 5663, 13, 100001, 2450, 27376, 2882, 768, 26, 548, 1236, 372, 362, 1216, 558, 11, 23773, 272, 254, 1117, 499, 1062, 881, 586, 31848, 11, 362, 438, 6737, 11, 372, 29224, 372, 565, 245, 3253, 280, 10586, 661, 272, 9906, 1323, 857, 13, 13095, 581, 2330, 11, 837, 274, 25818, 4834, 11, 245, 23595, 15711, 497, 6013, 245, 2816, 19095, 13, 100001, 2901, 4026, 487, 82, 2368, 359, 0, 487, 993, 7421, 13, 207, 2901, 4388, 304, 487, 313, 81403, 254, 3865, 12, 8569, 15711, 0, 7384, 11, 1865, 331, 15267, 0, 487, 362, 7899, 13, 207, 2901, 28721, 11383, 1783, 361, 6452, 344, 254, 1228, 86933, 12, 9738, 11074, 643, 2424, 11, 366, 586, 77937, 12, 64713, 1653, 0, 487, 2071, 438, 642, 3510, 13, 7421, 75809, 4312, 13, 900, 272, 1656, 96839, 5501, 279, 586, 1297, 13, 429, 47728, 2762, 279, 4399, 13423, 11, 548, 362, 1027, 1019, 344, 254, 47387, 438, 88652, 366, 12792, 13, 12975, 430, 586, 5144, 778, 984, 410, 66, 12, 1809, 4346, 366, 47513, 35387, 279, 704, 30844, 13, 30042, 2762, 1313, 691, 18294, 26, 742, 91366, 372, 657, 661, 803, 362, 1067, 1224, 410, 7468, 26, 3072, 279, 12016, 11, 1592, 32591, 6513, 634, 1913, 11, 5030, 279, 254, 1079, 14121, 257, 280, 39071, 10283, 11, 81321, 2237, 11, 60373, 13, 429, 18134, 778, 59592, 366, 4426, 5931, 13, 100001, 12201, 26269, 475, 7421, 9299, 11, 634, 10528, 457, 254, 5773, 30607, 11, 254, 750, 457, 245, 20992, 696, 68053, 366, 245, 67428, 3059, 280, 4349, 26, 548, 362, 1216, 441, 3070, 276, 1068, 691, 11489, 13, 56449, 254, 6518, 245, 1228, 4167, 430, 254, 4414, 280, 254, 25943, 6626, 3222, 1721, 11, 285, 245, 3074, 2156, 2373, 1184, 26, 245, 2317, 410, 66, 2762, 5030, 2065, 254, 12100, 13, 7421, 27376, 855, 254, 3123, 285, 2674, 279, 26, 285, 937, 362, 79842, 786, 430, 245, 4257, 13, 100001, 32, 5505, 285, 91878, 13108, 5426, 1062, 473, 254, 4167, 5135, 254, 11072, 12, 2727, 13, 809, 438, 66456, 11769, 366, 73546, 1278, 2728, 279, 33802, 331, 254, 9906, 11, 548, 895, 16066, 1225, 438, 4739, 279, 22569, 13, 8410, 11394, 285, 45657, 1027, 330, 2826, 331, 437, 2387, 285, 344, 26, 548, 359, 438, 7137, 4617, 327, 984, 410, 1853, 691, 12792, 84518, 331, 254, 6597, 13, 4810, 856, 362, 661, 4101, 280, 254, 59728, 487, 3075, 7421, 4437, 344, 11, 5030, 410, 13260, 11, 21675, 2860, 744, 1094, 4135, 330, 1503, 279, 245, 18377, 1461, 581, 279, 254, 77405, 2367, 2330, 26, 548, 362, 1667, 3365, 327, 245, 1492, 1323, 362, 1503, 254, 1143, 13, 100001, 2901, 1385, 487, 647, 330, 3345, 254, 1062, 11, 304, 6384, 11, 487, 7421, 35351, 13, 207, 2901, 549, 3000, 25943, 81439, 29517, 12, 4018, 13, 1308, 12344, 304, 487, 67, 2018, 1181, 1069, 11493, 13, 487, 1063, 8947, 1224, 254, 13108, 11, 548, 9405, 1132, 11, 1319, 3458, 691, 45656, 13, 48226, 438, 6278, 276, 20972, 857, 1310, 13, 2071, 438, 642, 3066, 4617, 254, 6884, 280, 586, 5144, 11, 588, 4759, 276, 2554, 276, 274, 91878, 6565, 11, 837, 254 ]

[ 100000, 5418, 2367, 1323, 254, 4281, 31649, 4435, 254, 59335, 31078, 285, 1228, 25851, 39262, 1224, 254, 11072, 12, 44969, 13, 414, 24473, 75976, 704, 5144, 11, 285, 6389, 8728, 279, 254, 24924, 82, 13, 100001, 75243, 279, 254, 12450, 254, 6787, 2156, 2762, 14211, 2065, 254, 4165, 19369, 280, 16066, 8800, 285, 4837, 13, 7421, 285, 21675, 2860, 1132, 6153, 93825, 285, 11246, 51870, 778, 2249, 276, 614, 430, 245, 4770, 16930, 11, 285, 366, 889, 634, 8749, 24697, 52334, 1752, 5426, 254, 7947, 331, 327, 6128, 1853, 691, 3821, 13, 100001, 1385, 438, 4426, 13, 20593, 2653, 661, 14844, 13, 2071, 778, 1313, 3662, 7524, 11, 548, 254, 4311, 12, 86, 10191, 12780, 744, 441, 330, 2826, 6309, 5189, 13, 65771, 807, 285, 21675, 2860, 778, 430, 254, 13623, 11, 10147, 26380, 285, 441, 9034, 11, 12734, 327, 688, 3066, 2065, 254, 4559, 4435, 13, 2803, 3973, 65771, 807, 11564, 254, 12114, 13, 100001, 2901, 3647, 245, 3066, 548, 254, 5409, 11, 487, 362, 993, 13, 207, 2901, 2960, 418, 642, 614, 1645, 1233, 3345, 11, 410, 601, 14501, 418, 1401, 280, 4837, 13, 809, 317, 276, 330, 18936, 344, 254, 2489, 5508, 543, 330, 3093, 366, 8541, 450, 473, 364, 6045, 13, 1308, 6642, 344, 438, 521, 704, 5487, 11, 285, 657, 661, 3011, 1979, 276, 536, 366, 450, 207, 891, 366, 254, 26500, 13, 100001, 23077, 2489, 5508, 543, 2752, 21013, 48648, 327, 1313, 41519, 881, 254, 8800, 11, 565, 657, 463, 245, 14844, 13109, 276, 88187, 13, 487, 21675, 2860, 1216, 441, 3510, 13, 1063, 4133, 430, 900, 272, 11, 285, 254, 26965, 438, 20224, 13, 100001, 23014, 362, 661, 4101, 1874, 11, 410, 2215, 362, 661, 13, 1733, 3444, 372, 254, 25851, 661, 14844, 786, 768, 285, 254, 4559, 4435, 438, 4165, 11, 362, 661, 4101, 1310, 254, 3399, 2069, 367, 280, 5144, 13, 6809, 1132, 362, 4101, 359, 13, 1063, 4540, 35503, 13, 2071, 778, 984, 12624, 23565, 2992, 280, 2156, 4435, 11, 410, 327, 245, 2780, 362, 2215, 362, 3505, 768, 11, 548, 430, 2561, 657, 27885, 12159, 285, 35638, 13, 100001, 2901, 2640, 317, 359, 30, 487, 993, 254, 33466, 13, 100001, 2901, 40, 1113, 487, 83, 1006, 11, 487, 7589, 21675, 2860, 13, 207, 2901, 40, 2215, 304, 4101, 5144, 11, 285, 304, 2215, 304, 3505, 245, 2156, 207, 891, 837, 3545, 13, 304, 463, 2215, 558, 2752, 11, 1962, 395, 1022, 8400, 364, 6045, 13, 487, 65771, 807, 41639, 285, 67958, 276, 254, 3419, 13, 207, 2901, 40, 4704, 3011, 548, 254, 2653, 12, 43883, 280, 4466, 285, 8665, 11, 487, 362, 993, 13, 207, 2901, 17095, 0, 3960, 450, 25683, 0, 429, 3072, 418, 636, 280, 7702, 13, 487, 429, 2653, 12, 16085, 33515, 28599, 581, 254, 17432, 276, 2984, 768, 13, 12337, 768, 245, 5505, 14518, 13423, 645, 20200, 11, 285, 657, 4101, 274, 23235, 18182, 275, 280, 8242, 837, 2445, 28959, 279, 254, 26690, 13, 100001, 2901, 43, 1034, 789, 21313, 19646, 0, 487, 7899, 8427, 23280, 13, 207, 2901, 43, 1034, 789, 21313, 19646, 0, 1003, 463, 1865, 276, 254, 71002, 280, 254, 19778, 10082, 13, 49812, 344, 359, 317, 8678, 0, 487, 774, 254, 4165, 2156, 280, 254, 7524, 704, 36311, 778, 14518, 11, 285, 704, 71155, 8242, 245, 13357, 280, 3467, 322, 5299, 13, 100001, 2901, 43, 1034, 789, 21313, 19646, 0, 487, 993, 52334, 1752, 13, 207, 2901, 56861, 304, 608, 276, 4704, 1310, 254, 5409, 279, 254, 7636, 0, 1003, 418, 1592, 1585, 691, 853, 4047, 41519, 473, 254, 42166, 11, 548, 395, 481, 614, 642, 3572, 13, 4462, 1632, 450, 3655, 344, 254, 20542, 280, 254, 1473, 1606, 543, 2240, 450, 19635, 473, 254, 32280, 344, 3450, 4435, 13, 487, 207, 2901, 1847, 1473, 1606, 6031, 1592, 23404, 1285, 279, 254, 4426, 4010, 1843, 11, 487, 993, 65771, 807, 13, 100001, 2901, 1385, 317, 1234, 1962, 688, 280, 601, 1377, 22503, 8398, 271, 24293, 1062, 276, 254, 3114, 29309, 395, 39463, 279, 13205, 1234, 4084, 11, 487, 993, 8427, 23280, 11, 207, 2901, 2381, 395, 4704, 344, 7980, 21313, 4397, 255, 317, 441, 2618, 35654, 11, 327, 745, 317, 245, 6486, 1823, 1285, 344, 7432, 11626, 473, 254, 3114, 13, 22347, 895, 22503, 418, 24496, 2826, 11, 285, 6642, 657, 23404, 1132, 4399, 279, 254, 16763, 285, 2367, 473, 254, 18073, 5792, 13, 487, 207, 2901, 23298, 4399, 279, 254, 4837, 657, 23404, 11, 487, 993, 52334, 1752, 11, 285, 34456, 372, 565, 742, 4887, 38087, 279, 857, 13, 207, 2901, 1380, 1534, 267, 409, 327, 9856, 19635, 13, 100001, 1380, 543, 614, 4312, 245, 2577, 1143, 11, 2645, 254, 7636, 418, 521, 786, 450, 11, 285, 937, 395, 543, 1947, 12159, 473, 254, 3088, 285, 9847, 245, 1810, 276, 1610, 279, 13, 487, 1063, 20210, 4312, 26, 548, 15364, 283, 348, 6626, 4942, 11827, 1422, 285, 1216, 441, 1181, 13, 207, 2901, 3110, 745, 642, 750, 1143, 30, 487, 362, 993, 13, 100001, 2901, 2640, 750, 90769, 1143, 744, 340, 8836, 30, 487, 993, 52334, 1752, 13, 100001, 2901, 32, 8800, 4559, 11, 2451, 359, 5426, 1184, 245, 35061, 280, 44914, 11, 487, 993, 15364, 283, 348, 13, 207, 2901, 2716, 8387, 12888, 643, 437, 7947, 803, 5426, 11, 285, 558, 2367, 276, 11626, 16531, 13, 37473, 601, 543, 395, 5079, 1090, 254, 26318, 280, 364, 6045, 11, 276, 769, 4257, 13, 1308, 1132, 395, 1534, 5223, 254, 19778, 10082, 11, 340, 1481, 13, 1474, 280, 344, 65601, 3114, 395, 463, 4101, 279, 92552, 256, 11, 285, 359, 317, 993, 344, 1860, 1865, 636, 779, 2561, 614, 279, 26, 285, 280, 344, 1860, 5249, 463, 21327, 55523, 52117, 13, 487, 207, 2901, 30445, 441, 55523, 52117, 11, 548, 565, 340, 1481, 31768, 11, 937, 6642, 340, 543, 3753, 254, 5919, 11, 487, 993, 52334, 1752, 13, 207, 2901, 2395, 63618, 259, 4944, 279, 92552, 256, 11, 15364, 283, 348, 11, 565, 279, 254, 3787, 280, 1462, 779, 2561, 778, 13430, 657, 1132, 3753, 11626, 280, 86777, 789, 21313, 19646, 13, 53244, 856, 340, 543, 11, 745, 317, 642, 750, 1143, 327, 450, 207, 891, 6838, 340, 744, 614, 1062, 276, 364, 6045, 12, 10771, 11, 410, 5760, 254, 3088, 1568, 14499, 11, 410, 12370, 254, 6982, 9321, 521, 5254, 13, 487, 207, 2901, 4631, 2023, 331, 0, 487, 993, 15364, 283, 348, 13, 207, 2901, 2395, 359, 317, 65601, 13, 487, 207, 2901, 5130, 296, 625, 6031, 11, 487, 993, 52334, 1752, 11, 207, 2901, 28555, 285, 65601, 26, 548, 889, 11626, 933, 5663, 359, 11, 410, 1462, 779, 3792, 742, 11626, 366, 768, 13, 23028, 525, 0, 487, 1955, 661, 5418, 1585, 691, 853, 245, 13925, 881, 254, 9625, 754, 657, 2373, 2065, 1913, 5545, 21897, 1224, 35503, 473, 254, 5330, 12, 62007, 45021, 344, 32545, 1062, 59335, 5135, 254, 14499, 13, 1955, 4101, 359, 7858, 5693, 855, 245, 3467, 2302, 3264, 254, 25851, 331, 704, 1329, 13, 100001, 26617, 4426, 62569, 14585, 7279, 3246, 254, 3088, 1323, 768, 11, 285, 10213, 10495, 1313, 11688, 1234, 4084, 11, 285, 1592, 395, 2091, 768, 279, 254, 5226, 11, 38151, 254, 42701, 331, 895, 15300, 11, 285, 254, 14544, 10252, 344, 50034, 279, 895, 23513, 13, 2428, 317, 4426, 1132, 285, 254, 18803, 280, 60672, 294, 7768, 317, 7488, 1224, 13, 304, 543, 86886, 601, 5144, 11, 327, 359, 317, 993, 344, 254, 2354, 317, 19104, 276, 254, 25761, 13, 487, 1063, 2674, 4312, 285, 32545, 1224, 254, 4399, 12, 497, 17963, 6185, 285, 20210, 881, 254, 5545, 13, 100001, 2901, 25807, 525, 0, 487, 362, 7899, 13, 207, 2901, 549, 2354, 317, 441, 4399, 13, 3960, 450, 259, 927, 3246, 0, 2426, 254, 3572, 6185, 395, 481, 1610, 11, 285, 254, 3066, 280, 254, 13520, 2354, 975, 3792, 450, 5476, 285, 7654, 17943, 280, 20110, 13, 487, 3474, 457, 634, 657, 32545, 1224, 285, 5496, 8427, 23280, 13, 1494, 245, 2780, 21675, 2860, 6626, 3345, 254, 63330, 285, 1632, 254, 2354, 3460, 855, 586, 13400, 5144, 13, 809, 438, 6159, 548, 895, 5402, 438, 3920, 11, 285, 372, 362, 2674, 331, 285, 359, 13259, 276, 586, 20661, 11, 362, 4749, 344, 254, 18344, 280, 4886, 285, 521, 77774, 438, 26829, 473, 586, 32004, 13, 100001, 3287, 521, 254, 7947, 661, 17033, 11, 657, 2659, 285, 31611, 285, 22331, 245, 1585, 3427, 26, 285, 8427, 23280, 3542, 768, 29915, 280, 86777, 789, 21313, 4397, 255, 344, 254, 1473, 1606, 280, 12160, 74, 5694, 1592, 5982, 279, 704, 14495, 11, 280, 29626, 285, 5395, 3205, 2065, 254, 59928, 457, 254, 6982, 9321, 1323, 254, 1843, 438, 14518, 13, 100001, 3567, 3973, 245, 12114, 7276, 11, 285, 657, 4101, 254, 4236, 280, 254, 58275, 3268, 71025, 279, 254, 25851, 13, 33780, 21675, 2860, 43937, 344, 362, 1027, 4704, 245, 5136, 17003, 11, 41400, 366, 254, 3066, 280, 254, 2354, 13, 100001, 2901, 4453, 340, 4704, 254, 5136, 280, 60672, 294, 7768, 30, 487, 3637, 8427, 23280, 13, 207, 2901, 40, 543, 2091, 340, 245, 5654, 280, 254, 33722, 60672, 294, 7768, 11, 779, 20010, 254, 1246, 1210, 372, 254, 5545, 13869, 588, 838, 8663, 1234, 4084, 13, 809, 317, 245, 4770, 5654, 279, 769, 4837, 12, 3114, 16777, 26, 548, 437, 317, 946, 359, 7513, 279, 254, 5653, 2114, 44151, 11, 372, 742, 279, 36554, 409, 488, 1132, 2091, 359, 13, 487, 685, 245, 2838, 5136, 10983, 276, 330, 4101, 18872, 254, 18182, 275, 280, 254, 8242, 2330, 768, 362, 4732, 25, 1640, 1473, 1722, 12, 30516, 745, 438, 280, 1712, 11, 338, 25288, 5395, 457, 1492, 25, 5067, 50196, 3682, 438, 22366, 2026, 366, 5299, 11, 5067, 13085, 280, 11041, 12, 35140, 13, 100001, 32, 5395, 438, 3080, 2065, 711, 16519, 11, 338, 2156, 438, 331, 711, 5539, 1733, 4281, 2065, 254, 14544, 67815, 685, 7980, 21313, 19646, 254, 4770, 13, 100001, 13608, 5539, 438, 1234, 11, 711, 32004, 778, 3682, 11, 1308, 4770, 838, 438, 285, 2094, 26, 1308, 279, 254, 5409, 838, 2674, 372, 2156, 87047, 546, 254, 15300, 280, 60672, 294, 7768, 11, 3563, 2354, 3662, 285, 5559, 11, 5067, 5136, 372, 13520, 11041, 7276, 37390, 254, 25288, 7434, 13, 100001, 9595, 1132, 838, 18012, 408, 5249, 481, 2410, 11, 685, 29626, 410, 279, 17920, 26, 1494, 4739, 280, 320, 420, 438, 60672, 294, 7768, 1308, 279, 254, 14499, 35731, 271, 13, 100001, 549, 466, 1722, 12, 4778, 279, 7398, 14518, 84955, 254, 11072, 12, 16043, 338, 11307, 1536, 711, 327, 1313, 245, 1492, 93739, 254, 54613, 5532, 13, 100001, 32, 5409, 457, 2653, 279, 17506, 19369, 338, 14258, 11, 285, 12724, 359, 7899, 11, 1308, 17354, 254, 5225, 473, 466, 1722, 12, 2017, 3788, 56449, 254, 20968, 26760, 13, 100001, 3287, 23608, 2373, 4165, 254, 3114, 438, 4739, 11, 429, 14499, 38034, 14518, 30042, 254, 98566, 11006, 344, 39381, 9191, 95201, 280, 91414, 19731, 13, 100001, 7649, 74717, 40547, 254, 44582, 14450, 4201, 2495, 5897, 254, 44202, 11, 1308, 52040, 254, 6830, 1568, 5225, 344, 20010, 12823, 2367, 473, 60672, 294, 7768, 13, 100001, 4112, 1712, 362, 438, 274, 1473, 1722, 12, 5936, 11, 338, 15332, 280, 5330, 285, 1656, 255, 11, 2473, 14544, 778, 254, 67815, 279, 8079, 685, 4770, 86777, 789, 21313, 19646, 13, 100001, 4044, 39593, 276, 5532, 657, 3505, 857, 30689, 11, 1733, 18660, 473, 254, 2662, 11, 1308, 31210, 881, 254, 2354, 4399, 11, 1733, 525, 86, 2065, 254, 19736, 13, 100001, 549, 5409, 438, 279, 586, 21897, 5539, 11, 429, 23513, 786, 857, 34597, 26, 2395, 473, 254, 5653, 643, 1865, 642, 1734, 11, 1308, 331, 254, 415, 2064, 41324, 2366, 58285, 1473, 1722, 12, 33468, 463, 4101, 4947, 4658, 74717, 2647, 4291, 13, 100001, 549, 5136, 280, 8427, 23280, 80900, 11, 285, 254, 5654, 23832, 13, 207, 2901, 40, 2977, 2091, 688, 691, 11, 487, 362, 993, 13, 207, 2901, 4026, 317, 548, 245, 697, 11, 327, 304, 463, 15503, 1266, 13, 809, 317, 1234, 285, 9436, 11, 327, 359, 10496, 946, 19506, 2373, 2065, 86777, 789, 21313, 4397, 255, 11, 7980, 21313, 4397, 255, 280, 254, 99061, 11, 754, 254, 414, 9738, 1606, 46282, 11626, 279, 254, 14499, 13, 487, 207, 2901, 2395, 254, 414, 9738, 1606, 1216, 441, 1099, 254, 11626, 11, 487, 993, 65771, 807, 13, 100001, 2901, 40, 993, 441, 558, 26, 2618, 11626, 2373, 11, 487, 7589, 8427, 23280, 28825, 13, 207, 2901 ]

[ 100000, 642, 14892, 279, 521, 520, 72535, 30, 487, 207, 2901, 3233, 11, 304, 608, 10297, 441, 11, 487, 993, 50762, 13, 207, 2901, 1380, 463, 441, 1503, 688, 11, 441, 1236, 1285, 279, 254, 6839, 10289, 13, 10898, 8379, 5982, 437, 60105, 276, 3177, 11, 359, 3354, 13, 1308, 304, 1113, 487, 83, 1378, 359, 744, 330, 688, 938, 48011, 331, 254, 11394, 280, 35100, 863, 276, 2698, 245, 14892, 280, 857, 0, 1003, 2786, 463, 276, 4127, 28761, 11, 372, 1207, 3997, 1534, 430, 245, 39514, 13, 487, 207, 2901, 38008, 245, 2780, 0, 487, 993, 375, 12082, 246, 13, 64707, 586, 1297, 4650, 254, 12960, 2599, 1712, 16428, 14892, 13, 1308, 1285, 487, 82, 1913, 25, 274, 30348, 634, 13, 304, 463, 7452, 359, 245, 1234, 1143, 11, 2451, 304, 1113, 487, 83, 1006, 2643, 13, 304, 1866, 1921, 4061, 276, 1275, 688, 14892, 12, 37142, 331, 254, 8398, 11, 754, 601, 1377, 7279, 636, 13, 1474, 1132, 359, 3450, 279, 5629, 1166, 521, 13, 487, 1063, 4586, 581, 245, 1760, 14892, 366, 245, 5505, 66778, 16136, 11, 285, 20475, 359, 276, 65771, 807, 13, 207, 2901, 12784, 344, 20032, 254, 8121, 1439, 450, 30, 487, 362, 993, 13, 100001, 2901, 2974, 23416, 359, 0, 487, 7899, 65771, 807, 13, 207, 2901, 11694, 12573, 38501, 3390, 11, 359, 8242, 525, 4399, 279, 520, 11757, 13, 487, 207, 2901, 6636, 11, 304, 608, 1872, 1062, 881, 254, 1721, 3207, 11, 276, 1019, 856, 254, 5409, 285, 9539, 418, 3217, 0, 487, 993, 8427, 23280, 13, 100001, 2901, 1380, 543, 1865, 366, 340, 11, 487, 993, 52334, 1752, 13, 100001, 5490, 2674, 636, 285, 21928, 4449, 2065, 254, 49709, 18134, 1323, 254, 27521, 13, 1955, 1027, 1019, 2367, 1224, 881, 254, 17432, 1132, 26, 254, 95027, 778, 26947, 285, 17864, 2302, 2065, 254, 26690, 13, 100001, 2901, 4388, 1632, 450, 1529, 769, 11535, 1285, 327, 245, 1585, 0, 487, 993, 52334, 1752, 13, 207, 2901, 1380, 543, 2097, 331, 254, 5941, 280, 22204, 285, 3075, 11, 372, 39369, 2520, 2970, 11, 1477, 362, 317, 10145, 16302, 13, 304, 2213, 245, 77774, 1108, 372, 304, 463, 24496, 4749, 1323, 13, 487, 1063, 19878, 586, 14518, 38271, 786, 857, 11, 25103, 586, 9444, 12, 29785, 11, 285, 24880, 636, 586, 1234, 12882, 13, 2928, 362, 2762, 1062, 285, 2143, 473, 586, 12077, 245, 10212, 5545, 280, 14463, 13, 100001, 2901, 9610, 0, 487, 993, 375, 12082, 246, 13, 207, 2901, 6623, 1421, 254, 63341, 643, 1865, 1062, 0, 487, 207, 2901, 2450, 643, 1866, 803, 2302, 11, 487, 993, 52334, 1752, 13, 207, 2901, 40, 608, 6536, 1421, 285, 9497, 21313, 2490, 12, 32377, 1653, 11, 285, 304, 6893, 1572, 276, 92552, 256, 285, 254, 5226, 13, 487, 1955, 42478, 279, 12114, 327, 245, 1477, 11, 285, 254, 4281, 34597, 331, 768, 26, 1906, 43621, 881, 254, 17432, 473, 3264, 3682, 16785, 1461, 279, 254, 5653, 13, 100001, 20922, 23280, 2762, 1592, 11, 2709, 581, 430, 254, 4281, 285, 9539, 366, 15681, 3545, 11, 285, 17003, 26380, 276, 3177, 13, 2803, 1562, 362, 2659, 581, 13, 207, 2901, 17095, 1132, 0, 487, 362, 993, 13, 100001, 2901, 3913, 37877, 331, 11, 285, 254, 95027, 418, 31244, 2302, 11, 410, 744, 565, 340, 8387, 22503, 1216, 441, 259, 87477, 39872, 279, 14463, 13, 2461, 280, 254, 19025, 30, 487, 207, 2901, 6636, 11, 601, 19025, 12166, 366, 36883, 581, 279, 254, 4426, 285, 7526, 4367, 521, 87444, 12, 394, 279, 274, 410, 66, 12, 16399, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 4160, 525, 1019, 11, 856, 317, 3571, 30, 487, 207, 2901, 549, 18097, 280, 6175, 279, 254, 1783, 641, 12, 40761, 22515, 11, 487, 993, 52334, 1752, 13, 375, 12082, 246, 1401, 742, 14365, 331, 586, 14773, 13, 207, 2901, 11723, 11326, 2507, 4084, 0, 487, 362, 993, 12124, 207, 2901, 1385, 3354, 245, 1012, 1962, 395, 778, 9317, 13, 7384, 11, 2451, 3222, 280, 359, 438, 837, 245, 3806, 6267, 11, 304, 35442, 344, 1853, 1079, 22319, 2507, 5496, 13, 100001, 92802, 543, 2918, 525, 11, 565, 304, 7654, 3270, 2375, 25, 304, 608, 441, 1872, 881, 4295, 25, 254, 376, 2744, 285, 254, 95031, 285, 352, 36303, 285, 521, 344, 26, 359, 1217, 441, 8982, 38151, 13, 487, 2991, 344, 362, 43690, 881, 274, 2654, 280, 15364, 283, 348, 487, 82, 1562, 6053, 285, 254, 410, 66, 12, 65859, 473, 4939, 1944, 14680, 296, 276, 254, 18724, 13, 549, 3072, 27007, 372, 254, 3947, 3487, 778, 17650, 279, 366, 704, 78740, 13, 100001, 2901, 4898, 418, 742, 37764, 344, 340, 1632, 3467, 11, 487, 993, 52334, 1752, 13, 207, 2901, 2054, 543, 330, 7684, 276, 463, 768, 1062, 13, 487, 1063, 88895, 586, 20437, 473, 1090, 586, 38271, 11, 285, 3061, 473, 359, 254, 984, 838, 52117, 47513, 13, 100001, 2901, 6636, 0, 487, 993, 50762, 13, 207, 2901, 40, 1866, 4061, 276, 1019, 1462, 1310, 0, 304, 10528, 245, 1860, 410, 5508, 366, 7207, 26, 548, 577, 67521, 21313, 74, 3061, 768, 473, 450, 13, 1724, 362, 25561, 506, 0, 2803, 1022, 304, 2215, 362, 438, 1872, 276, 39071, 525, 11, 548, 362, 15188, 254, 2012, 2302, 372, 565, 657, 21861, 857, 13, 487, 207, 2901, 2280, 1285, 839, 317, 520, 2275, 8988, 11, 375, 12082, 246, 11, 487, 993, 52334, 1752, 13, 207, 2901, 40, 463, 5982, 359, 5730, 11, 327, 359, 317, 245, 1079, 17353, 2421, 13, 487, 207, 2901, 40, 1006, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 1385, 438, 245, 66481, 276, 1632, 359, 614, 26, 548, 856, 1979, 1027, 304, 536, 30, 487, 207, 2901, 22776, 1979, 11, 487, 7589, 52334, 1752, 13, 207, 2901, 4711, 779, 2977, 4733, 2302, 245, 20017, 430, 933, 317, 279, 5682, 1717, 13, 1257, 1216, 39745, 13, 487, 207, 2901, 549, 13105, 280, 254, 15204, 331, 520, 76038, 11, 344, 438, 8030, 830, 0, 487, 993, 65771, 807, 13, 207, 2901, 64601, 8719, 340, 745, 26, 548, 340, 20760, 520, 5518, 366, 1572, 4054, 11, 634, 1667, 1481, 13, 487, 207, 2901, 2280, 845, 450, 245, 4245, 94055, 11, 487, 993, 8427, 23280, 13, 207, 2901, 40, 21517, 565, 340, 661, 11799, 19814, 0, 487, 207, 2901, 23809, 441, 11, 487, 993, 375, 12082, 246, 13, 207, 2901, 2395, 340, 1216, 441, 1006, 786, 2414, 53228, 21313, 17675, 13, 487, 1063, 80078, 285, 993, 642, 691, 11, 7933, 50762, 276, 2410, 280, 1462, 1562, 22319, 10387, 25, 254, 60948, 272, 4054, 11, 254, 3550, 9004, 11, 285, 254, 27723, 6313, 280, 2414, 53228, 21313, 17675, 487, 82, 71530, 7921, 13, 100001, 2901, 3315, 437, 786, 254, 2489, 5508, 280, 4643, 308, 12, 678, 133, 215, 81, 11, 49596, 3020, 21313, 63671, 372, 657, 1282, 359, 11, 3190, 525, 45616, 11, 487, 993, 52334, 1752, 13, 207, 2901, 549, 17514, 5157, 2571, 4437, 1653, 1266, 11, 285, 586, 20595, 839, 26, 285, 2414, 53228, 21313, 17675, 20894, 2143, 742, 3965, 3246, 254, 9321, 1166, 254, 38040, 13, 429, 5773, 30607, 543, 330, 2709, 5135, 2128, 1227, 494, 13, 1474, 10898, 8379, 430, 688, 3934, 317, 279, 245, 80758, 7770, 280, 586, 1377, 13105, 13, 487, 207, 2901, 5661, 11, 44734, 2387, 19913, 11, 586, 33197, 317, 4922, 11, 487, 993, 50762, 13, 207, 2901, 39160, 4732, 276, 614, 521, 4360, 327, 857, 473, 254, 2780, 586, 2489, 5508, 845, 4414, 279, 50316, 261, 13, 487, 207, 2901, 1380, 9317, 245, 30716, 280, 254, 1712, 40515, 11, 410, 558, 39369, 2520, 28328, 11, 487, 993, 65771, 807, 13, 207, 2901, 2921, 254, 5941, 280, 254, 18724, 13, 487, 207, 2901, 3287, 438, 344, 30, 487, 3637, 375, 12082, 246, 13, 100001, 2901, 38577, 16919, 4084, 11, 487, 993, 52334, 1752, 13, 100001, 2901, 4160, 525, 1019, 11, 487, 993, 50762, 25, 207, 2901, 15660, 16919, 4084, 207, 891, 1132, 395, 1865, 276, 245, 697, 280, 254, 3693, 340, 1006, 3011, 786, 13, 1003, 2011, 18340, 88273, 344, 4421, 1166, 254, 8680, 26, 285, 344, 2653, 395, 778, 430, 423, 4192, 26678, 11, 634, 280, 586, 990, 12, 24300, 13, 429, 2112, 4421, 395, 2674, 276, 7901, 76, 1779, 11, 245, 20190, 280, 7901, 82, 11, 344, 317, 11, 285, 254, 646, 14343, 2421, 304, 463, 2647, 2826, 279, 601, 1728, 13, 304, 580, 69, 704, 97155, 11, 254, 7901, 82, 8963, 33515, 581, 13, 809, 438, 6971, 13, 429, 18724, 661, 4749, 372, 17891, 372, 565, 245, 77087, 438, 61672, 4650, 359, 25, 937, 521, 430, 2561, 359, 56943, 13, 304, 4796, 340, 1027, 463, 4101, 704, 5654, 372, 657, 33378, 13, 487, 207, 2901, 1847, 10898, 8379, 661, 4101, 359, 11, 362, 744, 330, 245, 5197, 6593, 2302, 457, 1132, 11, 1236, 565, 362, 661, 661, 276, 1409, 331, 586, 1377, 12882, 11, 487, 993, 375, 12082, 246, 13, 100001, 2901, 23077, 2128, 1227, 494, 330, 2955, 285, 2074, 11, 372, 6159, 372, 8665, 285, 10922, 372, 17724, 11, 1003, 614, 11, 395, 614, 11, 395, 614, 276, 4429, 11, 276, 362, 86, 254, 8665, 285, 2973, 254, 4167, 0, 2071, 438, 1079, 1266, 691, 13, 338, 1228, 3822, 280, 254, 5654, 661, 642, 3073, 11, 285, 438, 837, 245, 4236, 280, 44055, 285, 42189, 13, 809, 438, 1079, 12351, 13, 1474, 304, 2215, 359, 438, 889, 44352, 4236, 285, 642, 691, 11, 953, 245, 5654, 207, 891, 2645, 304, 2149, 1285, 13, 304, 1006, 2018, 1132, 13, 487, 207, 2901, 1380, 2373, 1224, 855, 254, 1562, 34496, 881, 29059, 12246, 310, 21313, 18700, 81, 11, 1166, 2653, 661, 14844, 11, 487, 50762, 7091, 13, 207, 2901, 1385, 438, 937, 344, 304, 1022, 661, 254, 6153, 344, 254, 18724, 3964, 438, 6546, 4435, 450, 13, 304, 2215, 304, 438, 40610, 274, 990, 844, 6267, 11, 548, 375, 12082, 246, 661, 9299, 359, 1653, 13, 1003, 778, 1572, 16163, 12, 456, 271, 26, 548, 395, 1216, 441, 1275, 636, 691, 786, 359, 2645, 3470, 13, 100001, 2901, 1385, 438, 254, 23933, 19316, 11, 410, 558, 254, 7901, 82, 1282, 768, 279, 207, 2901, 2901, 11946, 4706, 56988, 13, 100001, 10939, 88273, 2115, 487, 83, 1481, 1266, 786, 768, 11, 548, 304, 1378, 657, 418, 7901, 82, 344, 463, 3261, 3308, 837, 7636, 11, 430, 2754, 276, 1068, 430, 13, 1955, 2039, 1285, 285, 745, 279, 254, 4837, 410, 1090, 895, 71002, 11, 13117, 11, 9697, 1225, 12, 2246, 326, 855, 254, 7636, 26, 548, 4399, 279, 254, 72263, 263, 2902, 745, 418, 12551, 285, 12551, 280, 768, 11, 304, 3634, 13, 100001, 2901, 2960, 317, 245, 1228, 1823, 279, 768, 11, 285, 657, 1751, 2249, 276, 12475, 4449, 279, 13423, 25, 359, 317, 3915, 276, 1019, 768, 6546, 13, 1474, 657, 536, 13, 1955, 481, 2938, 1079, 5397, 11, 565, 657, 418, 15846, 13, 1257, 2039, 1592, 2709, 430, 254, 8077, 11, 6642, 11, 410, 12734, 276, 254, 88597, 280, 254, 5409, 11, 285, 937, 8963, 340, 1275, 344, 340, 418, 279, 254, 6516, 280, 245, 4837, 366, 1228, 75400, 272, 7636, 521, 1983, 340, 13, 1955, 1592, 463, 18887, 11, 285, 481, 3753, 366, 254, 7901, 82, 207, 891, 344, 317, 2643, 657, 418, 2424, 23933, 19316, 11, 18340, 12, 33735, 2970, 207, 891, 548, 657, 463, 3261, 32533, 285, 6763, 13, 87892, 13, 304, 1023, 330, 46084, 280, 6244, 768, 11, 565, 745, 778, 642, 1927, 7901, 82, 786, 276, 1068, 1166, 768, 13, 100001, 2901, 6636, 11, 279, 254, 3923, 2653, 395, 39262, 1224, 245, 1234, 76755, 881, 254, 6909, 1225, 280, 254, 52821, 487, 82, 64832, 11, 254, 7901, 82, 366, 521, 704, 88597, 23933, 19316, 4435, 13, 1003, 1027, 441, 1019, 768, 11, 280, 2629, 11, 548, 254, 3000, 3207, 438, 2201, 280, 1267, 1379, 13, 809, 438, 1079, 4426, 11, 245, 55043, 2653, 13, 1955, 6937, 430, 245, 1228, 4583, 372, 3444, 372, 657, 661, 2116, 254, 17188, 11, 285, 1401, 245, 6565, 837, 245, 32907, 5409, 13, 429, 20992, 1216, 441, 3976, 1184, 254, 16785, 11, 285, 2960, 438, 245, 2156, 64195, 473, 245, 1461, 4071, 279, 254, 18972, 11, 344, 438, 521, 13, 100001, 2901, 10939, 88273, 285, 245, 1860, 691, 7901, 82, 39262, 331, 11, 1329, 4078, 276, 2383, 7702, 280, 254, 1228, 18318, 13, 375, 12082, 246, 285, 304, 778, 366, 857, 13, 1003, 778, 9368, 331, 18340, 88273, 487, 82, 17459 ]

[ 100000, 11, 1477, 8427, 23280, 285, 65771, 807, 40382, 1062, 331, 4414, 276, 3126, 393, 7646, 255, 13, 809, 438, 245, 13925, 410, 691, 11, 285, 359, 438, 742, 766, 1323, 657, 2373, 1062, 11, 99730, 984, 18991, 35503, 2726, 254, 14450, 13, 100001, 2901, 2960, 317, 245, 8387, 19025, 276, 2410, 0, 487, 993, 8427, 23280, 13, 207, 2901, 2960, 418, 889, 984, 18991, 2065, 254, 6185, 13, 1003, 1027, 1275, 642, 11362, 280, 254, 750, 13, 487, 207, 2901, 11434, 2489, 5508, 803, 745, 30, 487, 3637, 52334, 1752, 13, 100001, 2901, 1380, 3505, 642, 11264, 280, 768, 11, 487, 7589, 65771, 807, 13, 207, 2901, 2280, 2489, 5508, 744, 463, 3443, 410, 16298, 521, 254, 18991, 11, 285, 254, 42731, 372, 1136, 13, 487, 207, 2901, 40, 543, 1068, 430, 254, 3419, 754, 395, 1865, 745, 11, 487, 993, 52334, 1752, 13, 100001, 4388, 657, 9835, 15364, 283, 348, 279, 254, 6516, 280, 254, 8964, 344, 438, 276, 8982, 857, 2302, 13, 429, 14518, 26256, 285, 466, 1722, 12, 76296, 657, 31789, 285, 6746, 14172, 586, 1917, 13, 1955, 2927, 271, 586, 1234, 4426, 5539, 285, 93819, 359, 2065, 586, 17459, 13, 429, 14544, 20437, 280, 7980, 21313, 19646, 91893, 786, 2452, 34742, 1957, 254, 44914, 280, 586, 14924, 13, 2928, 81105, 254, 49381, 276, 254, 22757, 280, 254, 750, 8964, 11, 657, 12419, 857, 636, 881, 254, 2354, 13, 1955, 92811, 28825, 2726, 254, 14450, 11, 285, 9860, 881, 254, 18847, 12, 22706, 7204, 657, 5079, 254, 5575, 252, 1209, 280, 3126, 393, 7646, 255, 13, 429, 19547, 9226, 280, 18520, 19437, 348, 778, 36301, 25, 359, 438, 1132, 5947, 12, 56709, 13, 1733, 657, 2674, 8868, 254, 267, 2260, 280, 433, 1774, 4177, 8728, 285, 80607, 42938, 1323, 768, 11, 245, 67924, 280, 5299, 13, 100001, 549, 19482, 285, 22001, 280, 254, 15300, 18176, 254, 5409, 1568, 3207, 13, 100001, 50, 5880, 3200, 657, 4733, 15374, 254, 24408, 8964, 25, 745, 15364, 283, 348, 2762, 11, 1610, 1086, 11, 24177, 11, 82623, 2065, 254, 31848, 280, 254, 21897, 2354, 13, 429, 5545, 3061, 857, 1477, 657, 4586, 704, 1377, 8964, 1062, 366, 704, 43161, 878, 13, 1063, 50034, 457, 768, 11, 285, 9405, 586, 8964, 31334, 11, 259, 10191, 276, 245, 4426, 7056, 2481, 254, 14544, 2156, 26, 285, 937, 8963, 359, 35638, 13, 100001, 49, 1774, 4177, 59782, 331, 405, 26237, 13, 429, 9321, 661, 3443, 15364, 283, 348, 4278, 280, 10806, 862, 256, 11, 285, 362, 438, 441, 2826, 1310, 279, 4302, 281, 41821, 349, 11, 8898, 372, 362, 1222, 276, 2039, 2065, 254, 7883, 25943, 279, 254, 4421, 13, 1474, 279, 92552, 256, 279, 1166, 12, 14033, 359, 1234, 438, 993, 344, 254, 466, 1722, 12, 24082, 19354, 254, 15300, 285, 254, 95078, 7434, 11, 285, 20010, 857, 1224, 1184, 508, 7644, 5187, 511, 11, 285, 2882, 254, 1313, 47396, 280, 1308, 63454, 11, 636, 881, 254, 6982, 15441, 430, 2653, 1090, 254, 7524, 13, 100001, 1988, 245, 1477, 254, 1853, 20935, 10471, 13117, 11, 36545, 1166, 857, 13, 2928, 52334, 1752, 8921, 13, 207, 2901, 5490, 543, 1068, 327, 857, 473, 254, 7883, 25943, 11, 487, 362, 993, 11, 207, 2901, 2381, 362, 543, 441, 972, 473, 11072, 410, 473, 5532, 13, 487, 2928, 9405, 362, 4732, 276, 2091, 25, 13873, 50316, 261, 855, 29126, 285, 2021, 1066, 254, 1234, 11387, 19112, 429, 5653, 17902, 3450, 10147, 11, 285, 786, 254, 9906, 359, 5014, 13, 100001, 2901, 2640, 4921, 473, 254, 5653, 11, 508, 32802, 5409, 11, 536, 340, 3792, 276, 525, 19635, 30, 10351, 340, 2826, 15364, 283, 348, 254, 33337, 457, 12780, 410, 457, 5395, 3205, 30, 487, 207, 2901, 40, 3505, 857, 10502, 855, 7960, 21410, 11, 855, 14585, 5505, 285, 14518, 26, 304, 3505, 857, 3667, 279, 7137, 19369, 11, 2645, 362, 5079, 2302, 37390, 254, 25851, 280, 254, 5226, 13, 304, 3505, 857, 937, 642, 691, 13, 100001, 549, 5226, 17902, 975, 463, 4101, 254, 27250, 280, 254, 4278, 280, 10806, 862, 256, 13, 487, 207, 2901, 46, 15364, 283, 348, 0, 4810, 254, 1461, 9906, 59335, 304, 4133, 60144, 11, 1474, 340, 2373, 441, 473, 254, 7137, 19369, 1066, 642, 1743, 418, 13, 487, 2928, 8427, 23280, 19544, 25, 4810, 254, 47396, 280, 254, 15441, 254, 5178, 17902, 31911, 11, 473, 254, 2901, 2640, 4921, 473, 254, 5178, 11, 508, 96766, 5409, 11, 536, 340, 3792, 276, 525, 430, 49070, 30, 8880, 1132, 317, 15364, 283, 348, 254, 13421, 30, 1063, 16687, 2228, 285, 304, 74618, 13, 487, 207, 2901, 35111, 441, 280, 525, 1066, 362, 33064, 23404, 207, 891, 558, 1313, 18797, 745, 9279, 2426, 254, 3682, 36027, 285, 254, 4426, 36027, 1090, 254, 61387, 9539, 26, 2086, 1313, 463, 5079, 1224, 1308, 63454, 276, 1275, 254, 21897, 15441, 13, 100001, 35111, 280, 254, 5226, 17902, 4921, 280, 768, 254, 5226, 17902, 19987, 276, 525, 0, 487, 207, 2901, 46, 15364, 283, 348, 0, 30042, 254, 8364, 254, 5532, 1209, 4559, 7513, 8868, 11, 1474, 340, 2373, 441, 366, 254, 259, 20044, 307, 24605, 473, 254, 14518, 5532, 487, 82, 8602, 13, 487, 2928, 52334, 1752, 19544, 1310, 25, 4810, 254, 22425, 280, 23555, 254, 5226, 17902, 31821, 11, 285, 2882, 254, 54613, 15300, 26, 1308, 3662, 285, 6159, 786, 254, 18972, 895, 12724, 27250, 8104, 13, 100001, 2901, 2640, 4921, 473, 254, 5226, 11, 508, 18995, 5409, 11, 536, 340, 3792, 276, 525, 3571, 30, 2461, 4921, 280, 15364, 283, 348, 254, 56518, 30, 1494, 362, 317, 1234, 2302, 13, 487, 207, 2901, 33, 45564, 338, 2321, 8088, 304, 4101, 586, 5778, 13, 2071, 1313, 48648, 362, 19556, 13, 100001, 11126, 497, 17963, 16352, 11, 586, 7488, 16356, 11, 657, 276, 254, 2354, 4832, 13, 100001, 11126, 1917, 558, 9326, 11, 586, 3059, 558, 4770, 11, 586, 32004, 657, 9835, 276, 1610, 26, 1308, 433, 1774, 4177, 11, 14544, 433, 1774, 4177, 12, 35364, 11, 20010, 857, 2065, 895, 12960, 13, 487, 207, 2901, 46, 15364, 283, 348, 0, 429, 25943, 280, 17518, 2786, 2647, 67332, 24529, 2158, 433, 1774, 4177, 11, 14544, 433, 1774, 4177, 12, 35364, 11, 2645, 254, 1225, 280, 2507, 13, 487, 2086, 657, 9765, 13, 2928, 657, 4540, 704, 8964, 285, 17354, 359, 366, 521, 254, 4583, 657, 1027, 2481, 254, 5545, 1062, 276, 3126, 393, 7646, 255, 13, 100001, 2901, 2054, 2116, 254, 7952, 17902, 276, 525, 11, 487, 993, 65771, 807, 11, 207, 2901, 2381, 304, 543, 1481, 66003, 280, 359, 13, 487, 207, 2901, 4026, 317, 372, 359, 1023, 330, 11, 487, 993, 52334, 1752, 13, 207, 2901, 774, 4302, 281, 41821, 349, 657, 29751, 254, 7952, 17902, 11, 548, 657, 536, 441, 2088, 359, 327, 58285, 13, 1474, 1132, 15364, 283, 348, 643, 3443, 586, 4559, 11, 285, 395, 1534, 1099, 32483, 276, 4352, 769, 1377, 13, 487, 1063, 47336, 254, 5575, 22661, 11, 5397, 548, 16523, 11, 96665, 2752, 276, 254, 6039, 13, 207, 2901, 3233, 2489, 5508, 463, 803, 331, 437, 3419, 11, 487, 362, 993, 13, 100001, 2901, 47701, 3011, 481, 330, 1401, 636, 327, 2569, 13, 2428, 769, 74692, 418, 1285, 11, 18960, 285, 298, 12, 55917, 13, 304, 2977, 2410, 3203, 688, 280, 254, 38501, 11834, 463, 1865, 1062, 1962, 254, 3365, 327, 21675, 2860, 4732, 13, 487, 1063, 5651, 276, 254, 6185, 11, 3415, 276, 1066, 254, 428, 389, 473, 254, 8079, 11311, 1215, 636, 881, 254, 9321, 13, 207, 2901, 2960, 418, 742, 3662, 24951, 1285, 11, 487, 362, 993, 13, 207, 2901, 32, 38501, 3390, 86, 10253, 407, 572, 17116, 8948, 384, 1888, 26, 2381, 40, 27303, 13778, 5479, 5509, 30669, 1752, 1216, 441, 3510, 430, 2561, 11, 548, 2674, 1062, 276, 254, 30342, 12, 1810, 285, 4133, 430, 254, 42731, 13, 207, 2901, 12201, 31230, 418, 7085, 11, 487, 362, 993, 11, 207, 2901, 384, 634, 317, 6062, 7421, 487, 82, 25, 359, 438, 3272, 2317, 285, 6751, 13, 1002, 937, 317, 254, 3510, 25, 21675, 2860, 643, 5418, 457, 8964, 11, 285, 586, 18448, 643, 5418, 366, 857, 13, 21675, 2860, 1534, 463, 5651, 1477, 395, 778, 521, 2302, 13, 304, 2011, 7421, 1872, 581, 254, 12967, 285, 3542, 857, 276, 1181, 525, 26, 548, 29224, 362, 1216, 441, 536, 558, 13, 1063, 35375, 586, 5738, 487, 82, 2764, 285, 2373, 1062, 1285, 1323, 21675, 2860, 661, 5418, 13, 1063, 1216, 441, 1275, 359, 3244, 276, 4283, 7421, 4435, 0, 487, 207, 2901, 2395, 2643, 1023, 362, 4283, 450, 4435, 11, 285, 1673, 245, 1734, 30, 487, 993, 65771, 807, 13, 207, 2901, 4026, 438, 245, 8387, 30769, 0, 487, 207, 2901, 2280, 245, 18127, 30769, 11, 487, 993, 52334, 1752, 13, 207, 2901, 22407, 438, 1329, 11, 304, 1378, 13, 21675, 2860, 1216, 441, 4796, 276, 2023, 688, 2138, 276, 4349, 366, 857, 279, 364, 694, 256, 13, 1474, 362, 4437, 344, 362, 1534, 614, 3177, 13, 22494, 6628, 1166, 362, 2116, 450, 344, 79118, 586, 5663, 285, 5914, 13, 487, 207, 2901, 21529, 19386, 2489, 5508, 2373, 331, 857, 285, 362, 24517, 11, 487, 993, 8427, 23280, 13, 100001, 2901, 2450, 24517, 11, 6062, 11, 487, 993, 52334, 1752, 11, 207, 2901, 2381, 441, 11, 304, 1378, 11, 473, 2489, 5508, 13, 487, 2461, 362, 2215, 438, 254, 4309, 280, 21675, 2860, 487, 82, 6363, 11929, 285, 11468, 52334, 1752, 1216, 441, 1481, 13, 429, 1562, 3073, 280, 15364, 283, 348, 362, 1234, 5982, 6486, 13, 100001, 2901, 6636, 11, 558, 1266, 430, 2754, 317, 1132, 3662, 11, 487, 993, 8427, 23280, 25, 207, 2901, 53556, 2860, 317, 642, 4172, 331, 437, 2387, 280, 254, 9321, 25, 889, 362, 481, 463, 3443, 254, 8964, 13, 100001, 2280, 7421, 317, 366, 857, 26, 889, 362, 744, 463, 3443, 586, 2390, 13, 487, 207, 2901, 5516, 4858, 937, 11, 487, 993, 65771, 807, 11, 207, 2901, 262, 2818, 276, 1529, 254, 9325, 8964, 285, 1181, 21675, 2860, 11, 410, 1979, 276, 1181, 254, 2489, 5508, 331, 4414, 13, 2071, 317, 1585, 3655, 2818, 1143, 13, 1003, 463, 2571, 4739, 17353, 3821, 13, 487, 207, 2901, 4160, 525, 1378, 0, 487, 993, 52334, 1752, 13, 207, 2901, 2280, 1132, 975, 304, 1099, 245, 1329, 4858, 11, 285, 2262, 254, 11626, 17196, 280, 437, 24862, 1492, 0, 487, 1063, 6626, 13117, 327, 245, 2780, 13, 207, 2901, 40, 543, 1181, 254, 2489, 5508, 11, 487, 362, 993, 430, 1562, 13, 207, 2901, 40, 744, 463, 24732, 21675, 2860, 276, 364, 694, 256, 285, 5418, 366, 857, 276, 254, 1225, 26, 548, 565, 304, 9847, 857, 1132, 279, 254, 32313, 11, 304, 1534, 10946, 254, 86195, 276, 42018, 285, 4349, 13, 2682, 2997, 19926, 7765, 430, 1562, 25, 254, 17196, 280, 254, 2746, 11435, 317, 279, 601, 4054, 642, 4172, 13, 429, 7947, 643, 7222, 895, 697, 13, 11169, 395, 344, 4512, 2977, 95194, 769, 20935, 1477, 395, 463, 6313, 2116, 13, 100001, 17095, 0, 1003, 543, 614, 1132, 13, 28764, 521, 344, 481, 330, 43718, 4435, 0, 1003, 543, 3327, 331, 457, 1492, 285, 4426, 0, 487, 1955, 12419, 581, 254, 1562, 8964, 285, 7452, 359, 276, 254, 7636, 13, 1955, 9835, 14172, 359, 1108, 280, 704, 11984, 372, 657, 1216, 441, 933, 285, 1027, 441, 5652, 2302, 13, 2928, 657, 2116, 3126, 393, 7646, 255, 13, 429, 9939, 438, 44582, 372, 657, 2373, 1062, 276, 254, 1656, 927, 1066, 15364, 283, 348, 661, 14844, 13, 2071, 657, 12389, 581, 254, 13789, 280, 254, 2489, 5508, 13, 809, 4067, 1585, 11228, 276, 1275, 13, 100001, 2901, 3233, 750, 22503, 1099, 1108, 245, 24486, 6513, 11, 487, 993, 8427, 23280, 13, 207, 2901, 1385, 3354, 704, 84236, 34721, 64020, 384, 24283, 3521, 39692, 1792, 292, 943, 557, 1265, 5990, 34742, 536, 441, 28912, 13, 1308, 3470, 395, 975, 463, 276, 3365, 327, 769, 3088, 279, 2074, 10922, 19369, 13, 487, 207, 2901, 6636, 11, 1166, 768, 0, 487, 993, 65771, 807, 13, 207, 2901, 35, 9738, 1606, 1653, 481, 614, 35503, 11, 285, 657, 536, 441, 28912, 19026, 853, 2489, 5508, 13, 1474, 359, 543, 330, 245, 1234, 29625, 25, 657, 463, 245, 1234, 1330, 13, 487, 207, 2901, 5661, 11, 487, 993, 52334, 1752, 11, 207, 2901, 832, 2786, 521, 933, 254, 43430, 280, 414, 9738, 1606, 13, 100001, 2395, 1865, 0, 2991, 3655, 410, 1673, 3655, 395, 543, 1181, 254, 13789, 280, 769 ]

[ 100000, 993, 13, 207, 2901, 2450, 438, 7415, 276, 340, 11, 304, 1019, 13, 2489, 1979, 586, 58205, 438, 634, 344, 340, 1216, 441, 4796, 276, 4571, 30, 809, 643, 13, 100001, 2280, 1132, 362, 2786, 29751, 254, 4363, 42018, 280, 1555, 11, 372, 1234, 285, 4363, 372, 769, 13822, 279, 254, 6982, 25943, 481, 635, 5787, 11, 285, 1866, 330, 7964, 11, 6838, 6642, 754, 362, 317, 5464, 285, 7488, 11, 558, 344, 362, 975, 1865, 276, 340, 11, 285, 340, 2786, 1019, 856, 340, 463, 2368, 13, 1002, 2786, 13946, 330, 6838, 340, 3900, 601, 5157, 487, 82, 3769, 13, 487, 207, 2901, 1744, 254, 3769, 11, 487, 993, 39369, 2520, 28150, 11, 548, 1462, 14491, 3505, 254, 46739, 279, 586, 3059, 11, 285, 1132, 362, 4759, 274, 1712, 285, 259, 531, 2954, 668, 11, 31514, 11, 27180, 430, 1562, 13, 1955, 1216, 441, 5914, 344, 362, 744, 3900, 13, 100001, 2901, 6723, 418, 254, 3769, 11, 487, 993, 254, 58348, 11, 285, 17424, 372, 362, 70755, 768, 634, 457, 634, 13, 207, 2901, 549, 20942, 966, 280, 92552, 256, 285, 895, 582, 27922, 32758, 2786, 18635, 430, 2561, 5897, 254, 1308, 63454, 11, 1022, 3950, 82868, 1866, 1310, 276, 65578, 9501, 60100, 254, 6982, 279, 7921, 11, 1721, 410, 6486, 13, 2428, 19369, 12450, 280, 254, 1308, 63454, 2786, 330, 9501, 60100, 487, 82, 327, 2647, 11, 21019, 13, 5653, 280, 254, 1308, 63454, 372, 2367, 372, 254, 33480, 88, 34188, 285, 254, 54731, 280, 50316, 261, 2786, 330, 38292, 666, 276, 364, 694, 256, 11, 285, 1743, 745, 2786, 8982, 642, 15872, 11, 548, 2786, 463, 4283, 276, 2738, 704, 1377, 15726, 13, 1474, 657, 2786, 1345, 276, 31200, 2128, 255, 12, 30083, 588, 657, 463, 1121, 5956, 16298, 11, 285, 344, 2786, 330, 9501, 60100, 487, 82, 11, 285, 745, 586, 41505, 2786, 23404, 25, 441, 10898, 8379, 11, 548, 634, 691, 15945, 280, 5442, 13, 487, 21519, 279, 254, 58348, 487, 82, 3545, 657, 1274, 586, 2215, 13, 1063, 438, 276, 330, 344, 41505, 11, 285, 10810, 521, 344, 10471, 280, 254, 5653, 1090, 586, 32407, 26, 362, 744, 330, 704, 62927, 285, 657, 586, 21209, 13, 100001, 2395, 39369, 2520, 993, 25, 207, 2901, 1567, 317, 1266, 276, 5521, 327, 254, 9746, 280, 634, 18448, 25, 344, 520, 9890, 1023, 5219, 279, 9875, 856, 362, 1534, 1979, 6053, 1313, 245, 4429, 276, 6320, 0, 2489, 643, 254, 2021, 280, 92552, 256, 16298, 586, 3655, 279, 4429, 11, 558, 344, 362, 15300, 276, 286, 91469, 30, 1308, 565, 6031, 395, 16900, 437, 23735, 558, 1461, 11, 856, 2049, 1000, 463, 395, 344, 9501, 60100, 11, 254, 12296, 9890, 280, 12258, 13133, 88, 11, 543, 2240, 586, 697, 30, 8880, 317, 437, 23735, 30, 3960, 857, 330, 4832, 8188, 285, 34237, 276, 450, 11, 285, 937, 395, 543, 2225, 1069, 17208, 13, 487, 809, 4759, 937, 276, 39369, 2520, 11, 6699, 11, 9697, 857, 372, 245, 668, 12662, 279, 56522, 366, 245, 27661, 39085, 11, 344, 327, 254, 3950, 280, 245, 9004, 254, 58348, 438, 430, 245, 4257, 26, 2618, 35503, 362, 14032, 1310, 13, 100001, 2901, 4453, 441, 4219, 88, 3073, 279, 520, 96006, 366, 254, 86742, 280, 9501, 60100, 0, 487, 362, 7899, 13, 207, 2901, 29133, 1000, 340, 68725, 0, 9501, 60100, 4380, 5249, 13, 1273, 340, 24837, 327, 586, 1749, 76, 1918, 340, 1534, 1022, 536, 586, 39622, 13, 3410, 418, 586, 3769, 13, 11293, 76296, 285, 245, 3682, 2156, 34597, 8188, 837, 245, 16356, 279, 344, 3438, 1810, 13, 100001, 10830, 586, 581, 39068, 1297, 254, 34637, 58348, 69687, 5744, 11, 285, 39369, 2520, 4321, 20760, 285, 3061, 473, 857, 254, 23701, 25, 14459, 11, 38271, 11, 285, 16356, 13, 100001, 2901, 6723, 395, 543, 1529, 279, 4887, 280, 769, 2138, 11, 487, 362, 7899, 13, 207, 2901, 2395, 372, 327, 520, 3769, 11, 395, 12766, 768, 23972, 13, 4488, 340, 5418, 11, 327, 520, 64552, 317, 855, 285, 4349, 317, 3345, 276, 340, 13, 1003, 1216, 441, 1865, 1285, 276, 9974, 3073, 279, 24798, 366, 9501, 60100, 11, 6830, 1568, 285, 909, 53477, 26, 1592, 2246, 366, 634, 280, 586, 21209, 13, 36939, 594, 0, 487, 2928, 254, 58348, 280, 364, 694, 256, 14032, 642, 691, 13, 3848, 3059, 438, 25852, 366, 46846, 285, 18519, 276, 254, 51835, 280, 742, 6763, 24565, 344, 11, 372, 359, 51669, 3250, 331, 895, 31639, 11, 317, 99231, 331, 254, 79254, 366, 245, 352, 31131, 14974, 13, 433, 491, 8148, 857, 285, 586, 8602, 14725, 506, 11, 285, 75661, 6928, 7642, 280, 36038, 2373, 28426, 2237, 473, 586, 21480, 13, 1474, 362, 4133, 430, 254, 7276, 12472, 280, 254, 11383, 82, 285, 704, 27661, 3545, 11, 285, 5663, 79118, 586, 33911, 13, 1063, 4366, 245, 1228, 5778, 11, 285, 4540, 11, 44893, 2065, 586, 78530, 11, 285, 366, 586, 2607, 89456, 89691, 1062, 276, 33487, 349, 73740, 256, 13, 1474, 372, 657, 2674, 586, 13474, 33515, 704, 44055, 279, 4834, 1234, 17113, 26, 285, 1236, 1323, 657, 2373, 276, 254, 8364, 9501, 60100, 27376, 586, 21389, 13, 100001, 35, 63264, 19178, 285, 22533, 44893, 581, 13, 429, 1228, 11394, 280, 254, 6350, 22425, 39655, 1062, 5505, 13, 6367, 280, 359, 69193, 245, 1228, 3697, 372, 35503, 372, 1971, 36779, 14585, 754, 245, 1906, 84, 578, 317, 18949, 13, 100001, 549, 11383, 82, 13259, 1310, 285, 19354, 1062, 11, 285, 473, 254, 3697, 280, 364, 694, 256, 745, 2674, 581, 245, 8801, 2032, 56992, 13, 52948, 8728, 1161, 1158, 272, 254, 3207, 11, 372, 473, 14491, 745, 33378, 581, 274, 10053, 280, 25742, 20691, 344, 661, 17493, 327, 254, 4834, 279, 254, 25851, 280, 427, 506, 54874, 3970, 5897, 254, 3572, 25943, 13, 16375, 473, 254, 17188, 331, 2818, 2387, 280, 254, 6300, 23174, 28078, 2489, 5508, 51176, 13, 429, 1743, 280, 254, 5653, 778, 33137, 11, 285, 3444, 11, 521, 786, 254, 14518, 96222, 1066, 657, 6626, 11, 8271, 2146, 2602, 285, 691, 853, 2146, 2602, 704, 4174, 744, 7987, 768, 279, 245, 5532, 280, 14924, 13, 100001, 34094, 60100, 661, 3443, 254, 98108, 1883, 46803, 279, 56053, 280, 10586, 13, 100001, 29176, 766, 438, 2116, 276, 52334, 1752, 327, 254, 18466, 280, 586, 8680, 13, 22162, 254, 634, 12967, 362, 6626, 366, 39369, 2520, 11, 285, 745, 4770, 285, 23872, 438, 8473, 254, 32534, 280, 254, 18340, 285, 29969, 13, 22162, 254, 750, 12967, 2074, 457, 6626, 254, 54707, 280, 50316, 261, 285, 19895, 4658, 74717, 11, 7883, 30638, 285, 17535, 43226, 13, 1308, 786, 1319, 12967, 245, 7987, 438, 1401, 14087, 521, 4703, 11, 67013, 2237, 366, 37839, 285, 16356, 13, 1474, 279, 254, 3865, 5135, 364, 694, 256, 1066, 254, 1022, 17406, 21640, 744, 1865, 745, 6626, 254, 16512, 280, 1473, 81, 1089, 331, 254, 2116, 366, 254, 9497, 21313, 13402, 444, 786, 768, 11, 285, 331, 254, 1329, 254, 13445, 4086, 27936, 296, 366, 254, 1743, 280, 19895, 4658, 74717, 8670, 285, 4770, 11, 285, 12389, 1743, 280, 254, 25943, 280, 17518, 13, 100001, 549, 5409, 33515, 11, 285, 254, 93800, 19544, 11, 285, 25698, 376, 1343, 26, 548, 506, 11, 372, 565, 359, 778, 254, 15592, 280, 254, 1492, 11, 410, 254, 1225, 6642, 280, 521, 254, 1843, 280, 2156, 13, 1308, 636, 280, 254, 20190, 7552, 74, 254, 36968, 3441, 133, 215, 75, 2373, 366, 704, 6159, 18887, 24302, 3073, 280, 4349, 26, 285, 937, 521, 3655, 438, 76921, 13, 100001, 47, 12082, 246, 661, 31788, 31514, 366, 20040, 754, 362, 4101, 39369, 2520, 12766, 254, 3769, 285, 48237, 21675, 2860, 276, 254, 42018, 280, 254, 25943, 26, 548, 362, 661, 59407, 3177, 11, 285, 1132, 362, 6626, 13869, 40031, 70, 1089, 279, 254, 3865, 7052, 280, 92552, 256, 366, 4086, 27936, 296, 487, 82, 1743, 13, 1494, 359, 4759, 1608, 276, 857, 276, 6976, 3444, 285, 4283, 254, 17406, 3693, 280, 586, 1728, 11, 1962, 521, 438, 279, 22204, 13, 100001, 2901, 40, 4796, 50762, 438, 1285, 11, 487, 362, 4101, 3177, 5366, 11, 285, 3399, 8052, 69732, 1184, 586, 2764, 11, 1236, 372, 362, 12835, 254, 9470, 1865, 16669, 276, 254, 21640, 13, 207, 2901, 6636, 11, 1136, 11, 1132, 430, 688, 3934, 304, 2579, 4922, 10806, 862, 256, 245, 1585, 2018, 13, 1003, 1667, 6976, 2854, 11, 50762, 285, 304, 11, 285, 1962, 6976, 395, 1534, 11, 2643, 441, 30, 7384, 11, 372, 362, 317, 441, 1285, 11, 304, 3655, 362, 487, 647, 1275, 274, 7292, 1225, 13, 1474, 1132, 304, 1534, 536, 601, 1608, 13, 487, 1063, 12419, 586, 16356, 285, 4133, 430, 359, 11, 285, 254, 68849, 2005, 18294, 280, 3074, 285, 5299, 26, 285, 254, 21897, 7445, 280, 36644, 21313, 20782, 1656, 572, 271, 837, 4043, 2065, 254, 26965, 13, 207, 2901, 1567, 438, 1401, 327, 953, 1108, 274, 5064, 11, 487, 362, 2215, 13, 100001, 2901, 1847, 889, 304, 1027, 1161, 550, 344, 34637, 58348, 366, 359, 11, 937, 3308, 304, 1023, 4305, 2258, 366, 1712, 50762, 13, 7384, 11, 304, 487, 647, 1161, 550, 742, 280, 437, 24565, 326, 76497, 1323, 254, 1225, 13, 304, 4796, 304, 1027, 1019, 5559, 29626, 285, 5575, 11387, 1310, 0, 487, 2928, 1236, 372, 362, 2215, 1069, 2012, 254, 1022, 21640, 37443, 881, 768, 13, 429, 410, 5508, 82820, 457, 254, 273, 3457, 344, 2762, 1323, 254, 17188, 41639, 285, 28078, 704, 25698, 881, 254, 36720, 21836, 13, 1474, 1184, 768, 745, 2373, 1406, 3645, 581, 11, 54613, 837, 35743, 11, 245, 1228, 2607, 280, 12967, 12, 244, 64743, 636, 280, 73740, 256, 1034, 13, 33337, 250, 285, 27430, 853, 10889, 657, 778, 11, 285, 657, 778, 47286, 889, 279, 3415, 12, 34204, 21306, 280, 88256, 15692, 11, 410, 6642, 344, 438, 704, 49255, 12434, 26, 548, 657, 20010, 4078, 12675, 12075, 6791, 285, 3438, 285, 55363, 271, 6751, 49399, 408, 279, 704, 831, 10503, 4054, 13, 1926, 814, 1568, 657, 27376, 881, 254, 31369, 285, 259, 10253, 3246, 11, 55355, 272, 372, 657, 2373, 13, 100001, 13101, 245, 10955, 657, 11564, 2065, 254, 1353, 280, 254, 1743, 280, 92552, 256, 11, 285, 8896, 2065, 39593, 285, 1917, 11, 285, 5868, 285, 16352, 11, 372, 62581, 82, 362, 10794, 254, 3550, 34424, 8752, 13, 2803, 375, 12082, 246, 487, 82, 2387, 40031, 70, 1089, 438, 55607, 285, 855, 30370, 11, 285, 362, 7276, 26, 285, 254, 1228, 92916, 12, 16623, 344, 77540, 857, 1224, 18261, 855, 857, 11, 16232, 636, 245, 41390, 272, 60961, 26, 327, 1069, 7276, 21774, 744, 24626, 254, 86016, 280, 1462, 344, 657, 15188, 1224, 13, 100001, 4631, 375, 12082, 246, 78266, 33401, 11, 285, 254, 4473, 26965, 280, 80102, 12, 291, 49877, 57488, 1184, 254, 12434, 285, 2674, 4399, 881, 254, 13313, 914, 280, 254, 92916, 11, 285, 586, 3438, 5931, 2373, 307, 11885, 636, 13, 1063, 1869, 9297, 4312, 285, 2373, 43147, 1224, 837, 245, 13520, 6796, 11, 94869, 1462, 14172, 857, 13, 2901, 3139, 359, 10171, 372, 304, 35375, 359, 744, 11, 487, 586, 2215, 993, 11, 1236, 372, 359, 1278, 43116, 2302, 26, 285, 359, 14032, 245, 1585, 2383, 857, 31076, 359, 24517, 11, 3308, 16218, 359, 4759, 276, 330, 30026, 842, 430, 1562, 521, 5914, 285, 2062, 285, 5663, 13, 100001, 2280, 937, 1236, 372, 359, 79573, 2302, 881, 7654, 17943, 359, 4101, 18887, 11, 285, 657, 4759, 276, 330, 24302, 279, 742, 15503, 1843, 2367, 2330, 25, 207, 2901, 549, 45545, 418, 4321, 0, 429, 45545, 418, 4321, 0, 487, 1494, 634, 2780, 691, 375, 12082, 246, 487, 82, 2215, 88329, 13, 207, 2901, 33, 296, 957, 0, 487, 359, 993, 13, 100001, 2901, 2395, 642, 0, 2608, 2373, 279, 586, 19025, 11, 1234, 1234, 4084, 13, 1002, 317, 601, 19025, 11, 285, 359, 317, 9765, 1132, 13, 7566, 12, 22787, 0, 487, 1308, 586, 2215, 24517, 2367, 2302, 285, 586, 3545, 3505, 642, 691, 13, 27024, 207, 16, 5048, 323, 36822, 5372, 339, 4720, 9757, 8756, 38, 4852, 7421, 46850, 3177, 55803, 473, 254, 3419, 13, 1494, 245, 2780, 362, 21517, 1066, 362, 438, 11, 285, 937, 521, 254, 29999, 285, 22553, 5651, 276, 857, 13, 1063, 438, 279, 254, 4399, 4426, 4881, 254, 1090, 12, 10771, 280, 254, 410, 5508, 487, 87643, 26, 895, 92380, 11394, 778, 7574, 13, 1063, 1534, 463, 14844, 55607, 754, 362, 65841, 3177, 2481, 768, 26, 548, 946, 1234, 362, 661, 72876, 745, 362 ]

[ 100000, 11, 487, 362, 34456, 11, 207, 2901, 384, 2367, 2302, 13, 429, 1143, 1062, 11, 565, 745, 317, 634, 11, 5014, 2882, 254, 17165, 13, 487, 1063, 1027, 441, 5476, 285, 362, 4586, 245, 16761, 366, 3177, 13, 207, 2901, 6636, 11, 1865, 1132, 11, 395, 487, 313, 2368, 2018, 853, 340, 18936, 11, 487, 362, 993, 352, 15087, 1214, 13, 207, 2901, 33, 51475, 1136, 12344, 13, 304, 35442, 395, 17033, 3222, 254, 5013, 1323, 395, 8583, 13, 100001, 4711, 691, 1492, 543, 536, 359, 13, 487, 1308, 937, 362, 24882, 13, 100001, 2901, 7390, 487, 83, 330, 245, 12192, 11, 7421, 42724, 49675, 11, 487, 2373, 274, 3510, 279, 586, 1377, 5136, 13, 100001, 2901, 2450, 2115, 487, 83, 614, 1913, 1492, 837, 344, 11, 565, 362, 13412, 430, 521, 13, 1308, 340, 481, 487, 83, 614, 331, 1266, 4172, 5749, 857, 521, 254, 2354, 285, 1094, 280, 254, 3427, 13, 487, 207, 2901, 40, 481, 614, 331, 245, 1207, 1143, 2451, 11, 285, 304, 543, 13, 487, 207, 2901, 9595, 276, 30, 487, 207, 2901, 1898, 254, 17165, 11, 280, 2629, 13, 487, 207, 2901, 2395, 856, 937, 11, 7421, 42724, 49675, 11, 856, 937, 30, 2473, 340, 752, 745, 11, 856, 418, 340, 1872, 276, 536, 30, 1063, 2115, 487, 83, 330, 2249, 276, 536, 3270, 327, 3177, 13, 487, 2158, 586, 43876, 7421, 12621, 344, 362, 661, 441, 2149, 274, 3510, 276, 437, 13, 100001, 2450, 661, 642, 3662, 3257, 430, 521, 13, 21675, 2860, 661, 441, 13451, 1266, 276, 857, 280, 586, 58205, 11, 285, 7421, 889, 4437, 51409, 344, 254, 26500, 661, 13505, 276, 330, 1957, 881, 254, 4043, 13, 207, 2901, 549, 7011, 8428, 280, 78521, 11, 487, 362, 35351, 11, 254, 1712, 1210, 12698, 276, 586, 2764, 13, 207, 2901, 6636, 11, 565, 9890, 7466, 946, 276, 1275, 768, 11, 304, 1113, 487, 83, 13, 487, 207, 2901, 2960, 340, 418, 0, 487, 2373, 254, 3510, 13, 207, 2901, 1385, 487, 82, 521, 3148, 19718, 13, 1063, 993, 558, 3177, 13, 1257, 418, 254, 12192, 11, 1872, 331, 14603, 285, 276, 5969, 13, 1257, 1027, 463, 72876, 1224, 285, 5418, 276, 5476, 2854, 2507, 4084, 11, 565, 340, 17990, 487, 83, 803, 558, 83050, 13, 1474, 340, 487, 647, 6976, 953, 254, 1246, 11, 410, 9507, 13, 1257, 1667, 953, 372, 1136, 9279, 1224, 1132, 285, 2102, 359, 581, 13, 1257, 487, 647, 1866, 752, 276, 254, 1869, 12344, 13, 487, 207, 2901, 40, 487, 647, 752, 745, 11, 565, 304, 4283, 3694, 548, 601, 18797, 4435, 11, 487, 993, 7421, 13, 207, 2901, 2280, 304, 487, 647, 5652, 2195, 13, 21675, 2860, 581, 4367, 11, 565, 359, 16905, 601, 1062, 285, 2997, 13, 2086, 3070, 41021, 0, 487, 2803, 344, 2780, 7421, 4749, 245, 11270, 256, 279, 254, 3419, 14172, 857, 11, 285, 362, 4101, 410, 91264, 245, 4399, 9409, 16183, 966, 372, 280, 22001, 53682, 1090, 254, 6039, 13, 2071, 438, 245, 8749, 3074, 24138, 344, 267, 811, 69133, 1090, 254, 16785, 285, 7648, 2302, 13, 429, 17165, 1653, 25119, 96957, 13, 100001, 549, 1562, 6351, 280, 704, 8398, 276, 508, 13965, 734, 246, 2373, 11, 285, 359, 438, 608, 2649, 1086, 280, 3427, 13, 809, 10471, 4426, 11, 441, 889, 1373, 280, 254, 1161, 11819, 280, 254, 17165, 25, 745, 4759, 276, 330, 245, 10955, 4321, 581, 11, 285, 2302, 276, 254, 8868, 12, 31755, 745, 438, 245, 63722, 280, 2156, 34118, 1090, 254, 3438, 36837, 13, 100001, 79191, 292, 280, 521, 11, 254, 3207, 438, 2201, 280, 84431, 26, 23159, 438, 20450, 285, 3915, 11, 285, 245, 79206, 1566, 2373, 331, 768, 11, 558, 344, 657, 55034, 285, 2752, 7276, 13, 1308, 2618, 704, 73890, 1216, 441, 6915, 11, 285, 657, 29213, 331, 13, 100001, 549, 17165, 39262, 581, 2647, 23479, 11, 2645, 11, 565, 657, 18949, 704, 6751, 11991, 11, 359, 8148, 521, 704, 7702, 11, 79934, 10999, 1323, 768, 25, 245, 6791, 2929, 280, 16637, 285, 1906, 361, 285, 21861, 8665, 11, 636, 280, 588, 245, 30084, 12, 35029, 22163, 438, 8473, 881, 254, 16785, 13, 12337, 254, 1492, 5509, 50537, 9765, 285, 1927, 2653, 2373, 1310, 657, 661, 68759, 285, 38950, 276, 895, 1079, 5144, 13, 100001, 3220, 245, 85694, 21675, 2860, 4733, 3177, 331, 254, 3419, 13, 7421, 2659, 457, 857, 13, 100001, 1898, 586, 10782, 362, 4749, 13400, 548, 25122, 11, 285, 586, 1917, 4759, 3662, 1310, 13, 2366, 691, 50263, 31770, 586, 2764, 13, 1063, 4437, 521, 254, 42101, 12, 273, 713, 280, 22553, 285, 744, 441, 9031, 276, 768, 13, 3848, 543, 438, 845, 11, 285, 889, 4349, 744, 2973, 359, 13, 1063, 4749, 642, 4172, 2818, 8836, 410, 933, 280, 5476, 11, 548, 3272, 280, 4348, 17943, 13, 1063, 4437, 344, 521, 254, 47823, 285, 77643, 778, 1132, 10894, 2854, 276, 245, 1420, 25, 254, 2112, 1492, 744, 330, 245, 1492, 280, 48237, 11, 254, 1492, 280, 2328, 7038, 410, 21666, 11, 254, 1562, 85694, 13, 100001, 2395, 754, 744, 359, 1865, 30, 429, 2653, 4759, 23235, 285, 49993, 11, 8298, 1166, 8298, 13520, 5030, 285, 7227, 581, 276, 642, 9989, 5064, 11, 11973, 642, 2262, 13, 7421, 4732, 276, 3860, 565, 245, 1864, 16342, 661, 17070, 285, 642, 1492, 744, 2647, 298, 36183, 13, 2803, 1562, 362, 75400, 271, 327, 21675, 2860, 487, 82, 1297, 13, 809, 438, 6159, 285, 31345, 13, 3848, 5738, 438, 80633, 13, 100001, 2901, 40, 3320, 487, 83, 9090, 276, 463, 2116, 601, 31228, 4435, 11, 487, 35351, 7421, 26, 285, 13595, 1224, 362, 3657, 276, 5186, 21675, 2860, 366, 586, 7921, 285, 3123, 13, 100001, 4631, 5476, 3061, 857, 11, 285, 254, 4165, 2156, 280, 254, 1562, 1492, 280, 704, 1796, 1503, 768, 2387, 457, 2387, 13, 429, 5409, 661, 14844, 254, 1492, 1323, 372, 359, 26896, 473, 254, 5653, 11, 285, 1132, 359, 2373, 473, 254, 5226, 285, 4732, 276, 8307, 26, 285, 9405, 254, 2156, 280, 254, 38098, 5071, 28323, 1224, 881, 254, 25851, 1066, 254, 38501, 11834, 2762, 13, 100001, 2901, 4388, 327, 359, 0, 4201, 327, 254, 1562, 85694, 0, 487, 993, 7421, 372, 362, 29213, 276, 586, 5144, 13, 1063, 18261, 855, 21675, 2860, 11, 428, 24777, 857, 18317, 13, 21675, 2860, 63211, 26, 548, 366, 245, 1228, 7038, 280, 543, 362, 55034, 581, 26, 285, 937, 362, 7276, 2065, 586, 20661, 1310, 13, 1063, 8473, 586, 3545, 366, 11437, 276, 254, 4426, 45021, 280, 7408, 78521, 68422, 2330, 857, 11, 285, 937, 63255, 326, 362, 4732, 276, 46249, 4312, 331, 586, 4054, 13, 100001, 22407, 4133, 430, 857, 285, 46039, 279, 586, 2997, 11, 548, 642, 12867, 2373, 276, 586, 6989, 285, 352, 31131, 3545, 13, 207, 2901, 40, 993, 304, 487, 67, 5652, 857, 11, 565, 359, 11564, 601, 1062, 11, 487, 362, 35351, 11, 207, 2901, 384, 304, 543, 0, 487, 207, 2901, 17095, 11, 2195, 13, 21675, 2860, 0, 487, 362, 7899, 13, 207, 2901, 40, 481, 487, 83, 5652, 359, 327, 340, 11, 548, 304, 481, 2124, 21675, 2860, 52987, 2065, 586, 1062, 11, 7921, 49971, 786, 586, 10225, 11, 12882, 52364, 23258, 1090, 586, 7921, 11, 7421, 55034, 276, 586, 5144, 26, 285, 937, 276, 586, 46846, 362, 4749, 254, 18953, 2156, 13, 1063, 661, 26619, 344, 362, 744, 463, 21300, 6313, 276, 10622, 586, 5738, 5254, 11, 285, 5897, 344, 362, 661, 4061, 276, 4127, 279, 254, 27723, 37331, 4297, 280, 254, 909, 53477, 26500, 13, 1474, 359, 438, 441, 558, 13, 12562, 1373, 21675, 2860, 438, 558, 16870, 457, 586, 1234, 30766, 11, 20401, 280, 19340, 11, 285, 74660, 625, 50969, 11, 285, 19506, 11, 5663, 11, 285, 32169, 32802, 11, 410, 1373, 742, 8292, 280, 2328, 6313, 438, 2028, 276, 857, 11, 7421, 18949, 21675, 2860, 366, 642, 691, 11437, 853, 565, 362, 778, 13552, 245, 38501, 3390, 12, 5953, 20046, 12, 64, 12, 1888, 279, 742, 5460, 79, 331, 254, 81773, 410, 12245, 13063, 280, 254, 1783, 641, 13, 1063, 3061, 245, 4399, 9004, 285, 3805, 842, 13, 100001, 5490, 661, 6889, 254, 17165, 487, 82, 4414, 331, 895, 18073, 2387, 11, 285, 245, 1585, 276, 254, 59335, 26, 745, 895, 1234, 14518, 45021, 11, 2451, 7488, 11, 778, 441, 30084, 13, 21675, 2860, 1216, 441, 3753, 11, 285, 558, 7421, 29213, 331, 372, 1608, 362, 1027, 11, 2497, 642, 15594, 548, 254, 543, 276, 23170, 372, 1461, 372, 1667, 330, 1323, 586, 6313, 4366, 636, 285, 586, 543, 11564, 13, 2426, 362, 276, 5744, 11, 581, 285, 581, 11, 9860, 437, 1143, 285, 344, 276, 61054, 254, 23764, 11, 2752, 71479, 4312, 11, 285, 430, 254, 1562, 64370, 837, 245, 98164, 366, 245, 6751, 18953, 331, 895, 1062, 13, 2473, 586, 543, 1027, 3797, 857, 642, 3572, 11, 285, 586, 32004, 4366, 1143, 11, 362, 8583, 285, 9835, 586, 5738, 18317, 1224, 13, 100001, 53556, 2860, 6899, 586, 3545, 285, 12419, 245, 9004, 13, 809, 438, 7292, 276, 29620, 581, 1285, 2330, 254, 298, 5011, 344, 980, 5744, 285, 58433, 1224, 2877, 13, 207, 2901, 9101, 340, 11, 7421, 11, 487, 362, 993, 279, 245, 40095, 28174, 13, 207, 2901, 2819, 2367, 317, 745, 276, 614, 30, 487, 207, 2901, 40, 1113, 487, 83, 1006, 11, 487, 993, 7421, 11, 207, 2901, 13312, 304, 1113, 487, 83, 1006, 1066, 395, 487, 248, 1872, 13, 487, 1063, 4133, 1062, 11, 285, 937, 362, 4133, 581, 26, 285, 362, 438, 31750, 276, 1019, 946, 2367, 586, 1562, 7038, 661, 4832, 857, 13, 429, 17165, 8898, 70421, 285, 5254, 661, 4133, 30182, 853, 359, 438, 13, 7421, 3505, 1132, 344, 359, 438, 2246, 35246, 853, 254, 1461, 16150, 280, 254, 12788, 4116, 9497, 21313, 511, 588, 362, 285, 21675, 2860, 661, 30635, 13, 429, 14970, 285, 68889, 17459, 280, 895, 1228, 3252, 8728, 327, 6642, 1853, 8357, 5144, 2330, 254, 8800, 11, 285, 2330, 768, 438, 69633, 3222, 372, 1461, 1310, 895, 8670, 6327, 22163, 11, 837, 245, 10999, 269, 540, 410, 42290, 61840, 366, 245, 98274, 70798, 13, 1474, 2571, 7421, 438, 691, 853, 3222, 1143, 581, 254, 3252, 11, 285, 254, 8800, 280, 73740, 256, 1034, 438, 4165, 2877, 857, 11, 19878, 279, 267, 2260, 285, 13423, 13, 1733, 362, 4133, 581, 362, 744, 463, 2028, 245, 14581, 11, 565, 586, 1112, 2910, 21480, 661, 5987, 857, 26, 327, 18872, 254, 38798, 2429, 833, 285, 17459, 2330, 857, 362, 3505, 29224, 245, 3088, 410, 4559, 13, 809, 32545, 837, 245, 12698, 93740, 473, 254, 11348, 285, 20401, 4505, 559, 51081, 786, 254, 17165, 11, 2645, 1323, 359, 2674, 4078, 636, 280, 2343, 359, 6889, 254, 4414, 280, 254, 22163, 2065, 895, 23535, 2387, 13, 3441, 24011, 344, 565, 362, 1027, 889, 13564, 331, 953, 245, 1585, 1143, 3572, 581, 11, 657, 744, 15207, 437, 3088, 13, 338, 53353, 280, 3655, 5651, 276, 857, 13, 1955, 1667, 22255, 254, 17165, 2618, 13, 207, 2901, 6568, 11, 359, 1667, 463, 803, 1957, 745, 245, 12, 30714, 0, 487, 362, 993, 276, 3177, 13, 207, 2901, 1847, 359, 6740, 487, 83, 745, 11, 304, 487, 67, 463, 276, 1481, 304, 438, 26354, 279, 254, 1225, 13, 487, 429, 3088, 438, 441, 1957, 745, 327, 254, 9993, 280, 7421, 13, 1063, 1216, 441, 1006, 359, 11, 548, 362, 438, 2709, 430, 9501, 60100, 487, 82, 9862, 473, 4643, 308, 12, 678, 133, 215, 428, 4520, 247, 7421, 664, 15632, 332, 11, 254, 54545, 280, 11365, 13, 6367, 473, 254, 17514, 25943, 487, 82, 6791, 17868, 8364, 359, 2373, 855, 245, 4399, 76092, 457, 245, 10999, 10175, 280, 8752, 11, 285, 937, 9989, 881, 254, 8800, 359, 7279, 327, 245, 17099, 1439, 984, 20870, 496, 281, 1405, 11, 285, 558, 6889, 245, 1234, 74676, 4309, 1411, 344, 5426, 581, 331, 276, 254, 17165, 487, 82, 23535, 2387, 13, 429, 1268, 11, 9860, 285, 71347, 51737, 521, 895, 5505, 3459, 393, 473, 8868, 276, 8687, 11, 359, 32545, 430, 1562, 11, 1461, 279, 254, 6909, 22163, 11, 548, 1592, 2367, 473, 254, 298, 1795, 272, 27873, 11, 276, 245, 4426, 15157, 344, 32182, 1062, 12450, 6044, 276, 254, 21415, 280, 254, 30607, 279, 9501, 60100, 487, 82, 13423, 12, 37359, 1215, 45110, 13, 28862, 19283, 410, 16298, 457, 254, 45571, 82, 280, 254, 17165, 487, 82, 6874, 2265, 11, 1958, 344, 4559, 438, 34591, 285, 22446, 1310, 457, 254, 66102 ]

[ 100000, 13, 100001, 53556, 2860, 643, 245, 2018, 1917, 327, 344, 3734, 280, 2421, 13, 487, 207, 2901, 40, 933, 642, 3592, 11, 487, 993, 65771, 807, 11, 779, 661, 1865, 581, 366, 8427, 23280, 11, 285, 438, 36545, 636, 1323, 857, 366, 245, 8387, 2156, 279, 586, 4399, 3545, 13, 207, 2901, 2960, 317, 254, 3114, 1066, 769, 29436, 5168, 280, 1712, 11, 285, 395, 463, 35386, 254, 3324, 280, 1462, 14499, 881, 1313, 2722, 280, 8991, 285, 280, 8665, 11, 285, 881, 1313, 11688, 285, 29915, 13, 1955, 2039, 8670, 279, 769, 15763, 25, 4643, 1758, 11, 1981, 348, 559, 11, 1783, 511, 84, 133, 215, 81, 13, 100001, 2901, 11723, 2561, 1323, 463, 304, 2826, 768, 473, 60144, 279, 36883, 1728, 11, 548, 304, 1006, 768, 285, 704, 4773, 11, 327, 1090, 768, 11012, 17834, 1758, 308, 12, 678, 133, 215, 273, 11, 254, 51198, 2713, 67, 785, 11, 344, 317, 1132, 2424, 254, 6350, 38125, 11, 364, 6045, 279, 254, 1473, 85, 844, 16777, 13, 770, 11420, 11125, 4643, 1758, 246, 1684, 11, 254, 5773, 34321, 11, 17426, 2872, 53813, 7846, 26, 285, 5897, 857, 418, 8584, 1896, 479, 285, 15895, 88, 2392, 25, 76115, 13846, 296, 254, 7883, 11, 285, 28134, 6875, 5086, 254, 25260, 11, 344, 395, 1282, 1981, 348, 559, 30784, 296, 285, 48861, 2181, 511, 84, 133, 215, 81, 13, 100001, 2901, 2960, 254, 33480, 88, 34188, 18598, 11, 285, 1439, 704, 7921, 11012, 254, 4399, 12, 17470, 271, 17432, 588, 395, 2977, 7654, 25, 15026, 261, 341, 65, 9460, 11, 254, 16865, 48687, 35187, 11, 588, 254, 1473, 1606, 1282, 461, 384, 19661, 348, 277, 13, 487, 207, 2901, 1385, 317, 327, 254, 16865, 48687, 35187, 344, 395, 418, 2883, 11, 487, 993, 39369, 2520, 13, 207, 2901, 1847, 395, 23170, 254, 1452, 344, 317, 2424, 254, 5773, 34321, 22425, 11, 1090, 254, 2367, 2387, 280, 2872, 53813, 7846, 11, 395, 2786, 1865, 1224, 457, 254, 16865, 48687, 14969, 348, 881, 254, 4399, 70140, 280, 254, 414, 9738, 1606, 13, 2071, 11012, 254, 12160, 81, 561, 669, 11, 285, 745, 254, 9321, 17535, 75, 738, 26583, 279, 895, 54084, 30684, 13, 487, 207, 2901, 36608, 317, 254, 2354, 280, 721, 247, 1215, 12, 5915, 133, 215, 3492, 11, 487, 993, 65771, 807, 11, 207, 2901, 384, 6159, 418, 254, 30684, 280, 721, 30948, 12, 2490, 133, 215, 1425, 13, 2682, 2997, 11270, 7662, 430, 254, 2215, 344, 304, 975, 1019, 768, 3444, 13, 487, 207, 2901, 8894, 340, 463, 8810, 280, 254, 7702, 11, 601, 1207, 33466, 2081, 487, 993, 39369, 2520, 13, 100001, 2901, 2395, 6851, 340, 975, 536, 11, 395, 430, 2754, 2977, 4152, 279, 344, 17432, 13, 1003, 1534, 614, 1224, 254, 17535, 75, 738, 881, 254, 6486, 16763, 11, 285, 558, 276, 254, 6982, 9321, 11, 285, 937, 16324, 487, 1063, 24882, 13, 100001, 2901, 5661, 11, 285, 1066, 937, 30, 487, 3637, 50762, 13, 100001, 2901, 1898, 254, 1225, 280, 254, 8398, 207, 891, 279, 254, 1225, 11, 487, 993, 39369, 2520, 13, 207, 2901, 1380, 2977, 1068, 1653, 2367, 8450, 13, 3960, 450, 330, 7684, 344, 254, 1022, 6351, 317, 15712, 855, 13, 100001, 40, 1378, 395, 543, 1610, 1285, 11, 441, 889, 3571, 548, 19635, 372, 1136, 13, 2071, 317, 245, 49787, 3207, 786, 54182, 246, 13, 21992, 11626, 1534, 330, 12795, 245, 3085, 1323, 359, 22268, 83420, 254, 1473, 1606, 11, 565, 2561, 657, 48066, 745, 13, 487, 1265, 1132, 5175, 768, 13, 9315, 304, 4704, 254, 18134, 32553, 768, 25, 4399, 657, 582, 1781, 450, 11, 4770, 657, 35386, 450, 11, 1461, 657, 2297, 271, 450, 26, 548, 657, 418, 5418, 13, 1955, 418, 5418, 13, 1955, 14144, 254, 32711, 660, 1234, 4084, 13, 487, 2608, 4421, 657, 11769, 245, 4043, 279, 245, 4399, 24924, 85914, 7110, 457, 1228, 36169, 280, 85085, 11, 285, 704, 23374, 12, 65474, 438, 5746, 7009, 853, 359, 661, 803, 1962, 657, 845, 636, 13, 1955, 1216, 441, 25683, 276, 3853, 12769, 11, 327, 657, 4061, 276, 463, 521, 254, 2653, 276, 5476, 279, 11, 285, 657, 1216, 441, 2059, 276, 614, 331, 1310, 2645, 254, 6787, 280, 254, 2112, 1492, 13, 9315, 52334, 1752, 438, 13117, 285, 42673, 13, 4128, 245, 1477, 362, 2116, 254, 7947, 285, 39463, 331, 276, 254, 34496, 26, 745, 362, 6626, 279, 254, 13423, 280, 245, 5330, 11, 2709, 636, 8868, 2849, 285, 11348, 2849, 11, 366, 586, 1917, 44294, 372, 565, 362, 438, 12734, 13, 100001, 4631, 362, 5651, 276, 254, 63330, 280, 254, 42014, 285, 4133, 1224, 430, 254, 3072, 19640, 285, 6807, 13, 100001, 2901, 2640, 317, 254, 3502, 11, 6536, 1421, 30, 487, 50762, 2424, 581, 13, 207, 2901, 2640, 418, 340, 2709, 327, 30, 3132, 340, 3610, 254, 7952, 17902, 30, 487, 207, 2901, 3233, 6031, 11, 487, 362, 7589, 13, 207, 2901, 2395, 304, 3610, 1874, 13, 304, 463, 803, 279, 254, 3085, 280, 54182, 246, 279, 1313, 20404, 13, 2366, 22503, 23404, 1285, 1132, 11, 548, 1313, 750, 21774, 3530, 1285, 430, 521, 2602, 11, 4398, 12789, 13, 11169, 1132, 521, 2012, 548, 340, 418, 13117, 13, 304, 481, 2213, 359, 13, 2071, 317, 642, 3066, 327, 6593, 786, 450, 11, 285, 520, 18887, 1751, 276, 1099, 254, 3419, 6393, 13, 304, 536, 441, 2579, 359, 13, 487, 39369, 2520, 4133, 581, 366, 6363, 2190, 13, 207, 2901, 2395, 856, 536, 340, 6384, 317, 254, 2806, 30, 487, 362, 3637, 13, 207, 2901, 3110, 745, 691, 279, 359, 853, 10782, 430, 7123, 2685, 38501, 11834, 11, 441, 276, 4365, 254, 1610, 280, 450, 11, 1066, 1245, 418, 558, 24496, 2826, 410, 4101, 30, 487, 207, 2901, 40, 3655, 344, 317, 359, 11, 487, 7589, 52334, 1752, 13, 207, 2901, 2395, 304, 463, 245, 3078, 280, 4348, 12, 4238, 1465, 11, 285, 280, 5663, 11, 344, 304, 463, 1866, 661, 1285, 1323, 13, 487, 207, 2901, 4631, 395, 1534, 330, 691, 11955, 11, 487, 993, 39369, 2520, 13, 207, 2901, 1847, 340, 3792, 245, 63341, 366, 340, 11, 359, 317, 1136, 276, 2622, 5379, 276, 857, 11, 4398, 565, 254, 63341, 317, 52334, 1752, 13, 1003, 1534, 3070, 6807, 30294, 11, 1610, 17987, 11, 285, 845, 254, 4348, 13, 487, 809, 438, 7421, 487, 82, 1947, 344, 1492, 276, 1529, 254, 1022, 4348, 11, 548, 52334, 1752, 10213, 857, 13, 429, 3072, 7276, 20208, 13, 2928, 254, 12114, 10318, 2645, 1236, 7421, 4749, 359, 13, 429, 23159, 280, 254, 5476, 408, 1027, 330, 29224, 4101, 13, 429, 1971, 844, 280, 254, 40364, 487, 82, 9960, 285, 254, 25200, 17876, 280, 586, 5144, 5322, 12724, 43665, 13, 7421, 1027, 4704, 586, 1377, 31949, 1267, 1379, 11, 565, 362, 38087, 13, 20241, 12114, 438, 1983, 857, 11, 285, 855, 521, 11704, 245, 3662, 5501, 9539, 11, 372, 254, 5071, 19354, 581, 473, 254, 7952, 13, 42159, 279, 254, 5178, 245, 4426, 13825, 7676, 11, 285, 10318, 11, 285, 17354, 8687, 837, 15892, 14463, 279, 254, 5409, 13, 17410, 26, 548, 1323, 1234, 7421, 1027, 1019, 327, 3177, 856, 438, 21054, 13, 100001, 37, 19644, 280, 12789, 11, 15892, 430, 1228, 4583, 11, 778, 11712, 272, 285, 89482, 11, 285, 84010, 521, 254, 3114, 372, 565, 657, 778, 12095, 327, 1874, 26, 285, 657, 778, 28150, 10894, 23479, 13, 100001, 2901, 34058, 7372, 285, 1592, 0, 487, 586, 15646, 52334, 1752, 11, 21994, 7421, 1224, 881, 254, 17920, 280, 245, 85085, 12, 66461, 26, 327, 245, 3000, 29208, 280, 12789, 661, 7488, 2302, 8963, 473, 254, 1969, 3697, 11, 285, 2373, 11, 15892, 2495, 11, 6044, 5135, 254, 34496, 13, 7421, 2215, 657, 778, 245, 2447, 280, 7762, 280, 2317, 2408, 13, 1733, 657, 5079, 22241, 11, 279, 558, 17777, 245, 47243, 344, 704, 13423, 5496, 768, 4426, 326, 855, 254, 3419, 2877, 11, 634, 23595, 12497, 559, 438, 4101, 13, 100001, 3647, 2645, 657, 661, 74482, 1215, 881, 254, 5013, 11, 8687, 285, 11348, 11, 285, 254, 9539, 438, 1310, 3662, 744, 52334, 1752, 8307, 13, 2928, 362, 27376, 581, 285, 2674, 285, 259, 27406, 39369, 2520, 13, 100001, 2901, 5117, 5307, 280, 3438, 258, 3197, 418, 15892, 855, 521, 254, 3114, 1439, 254, 34188, 285, 254, 25260, 84409, 11, 487, 362, 993, 11, 207, 2901, 384, 657, 463, 5079, 855, 54182, 246, 13, 1955, 418, 441, 26977, 1285, 26, 657, 418, 1267, 65, 444, 636, 280, 84700, 1752, 285, 15612, 1569, 13, 304, 536, 441, 1006, 856, 657, 418, 786, 25, 8658, 745, 317, 742, 8168, 2302, 8868, 473, 588, 657, 418, 72744, 26, 548, 304, 1378, 657, 418, 735, 4627, 636, 254, 3114, 13, 304, 463, 839, 70883, 271, 1313, 35621, 710, 15892, 1461, 581, 279, 254, 9539, 13, 304, 1378, 395, 9090, 276, 2938, 1310, 437, 6787, 13, 100001, 39, 3237, 246, 317, 642, 4172, 49787, 327, 450, 25, 359, 317, 1435, 12835, 13, 487, 207, 2901, 2280, 279, 344, 1460, 558, 317, 254, 5773, 34321, 22425, 11, 487, 993, 39369, 2520, 26, 207, 2901, 384, 946, 395, 481, 752, 855, 344, 1673, 1435, 2826, 11, 304, 2977, 10743, 13, 1474, 395, 543, 1378, 280, 344, 754, 395, 1534, 13, 1733, 327, 6546, 372, 3444, 372, 359, 317, 4426, 11, 304, 608, 10297, 344, 340, 418, 1329, 13, 487, 207, 2901, 83157, 769, 4043, 1401, 1585, 14463, 11, 285, 661, 21861, 2495, 1323, 254, 1267, 65, 444, 2373, 11, 487, 993, 52334, 1752, 13, 207, 2901, 1385, 1534, 330, 1957, 636, 285, 441, 11769, 1310, 13, 487, 207, 2901, 6636, 565, 344, 4269, 487, 83, 245, 45967, 285, 245, 57573, 0, 487, 993, 375, 12082, 246, 13, 429, 4921, 25, 642, 4043, 11, 285, 245, 2938, 1310, 457, 2653, 11, 661, 803, 7488, 276, 857, 11, 372, 3444, 372, 362, 33734, 279, 254, 5189, 9939, 13, 207, 2901, 3315, 1373, 280, 245, 2390, 280, 258, 3197, 0, 304, 661, 4133, 4312, 276, 245, 1590, 1207, 12134, 19635, 25, 1874, 3550, 13, 487, 207, 2901, 6636, 11, 340, 481, 614, 331, 2709, 4312, 11, 487, 993, 39369, 2520, 13, 207, 2901, 2960, 975, 330, 1313, 14480, 749, 11821, 8450, 327, 340, 13, 1494, 4367, 304, 1023, 837, 245, 14892, 276, 14463, 279, 5186, 11, 285, 39034, 5144, 13, 3159, 11, 395, 418, 2569, 280, 634, 2421, 430, 688, 3934, 25, 359, 543, 752, 39034, 372, 395, 752, 8868, 13, 487, 207, 2901, 36425, 6284, 11, 304, 12871, 487, 83, 3860, 11, 487, 35351, 7421, 276, 21675, 2860, 13, 207, 2901, 2395, 304, 487, 76, 6278, 276, 1378, 359, 487, 82, 766, 395, 2149, 245, 7702, 280, 344, 417, 1369, 88, 17165, 11, 285, 3505, 254, 1225, 280, 254, 9862, 11, 558, 276, 3753, 13, 304, 2215, 430, 1022, 344, 437, 1285, 5773, 34321, 11, 410, 6851, 895, 1210, 317, 11, 1667, 330, 359, 11, 6309, 65771, 807, 8921, 586, 5836, 13, 338, 4770, 25513, 12, 7237, 31428, 33466, 12, 15078, 1534, 330, 0, 487, 31954, 40678, 3011, 276, 7421, 487, 82, 2764, 11, 285, 521, 20421, 279, 1069, 8387, 3114, 782, 60625, 855, 1132, 285, 1310, 26, 548, 372, 254, 259, 12651, 272, 5071, 10318, 3074, 657, 20027, 8868, 2849, 13, 2803, 50537, 254, 7947, 845, 636, 11, 285, 9860, 1132, 3222, 12450, 657, 82202, 704, 2629, 5135, 2872, 53813, 7846, 11, 588, 2367, 2302, 1592, 91124, 55479, 3074, 279, 254, 1562, 2156, 280, 254, 35638, 5071, 13, 100001, 4711, 457, 634, 3682, 7524, 27376, 8188, 372, 254, 9539, 37583, 13, 100001, 9547, 2269, 457, 52334, 1752, 657, 11921, 245, 1207, 3088, 13, 809, 4133, 276, 21675, 2860, 837, 254, 7544, 280, 274, 10641, 4559, 11, 344, 661, 2561, 803, 5846, 285, 1136, 14291, 11, 473, 54182, 246, 276, 254, 11072, 12, 4816, 13, 429, 20992, 11, 1132, 430, 254, 2201, 11, 8728, 855, 254, 14499, 11, 285, 4733, 245, 14211, 2156, 279, 588, 254, 25851, 280, 18134, 778, 3438, 13, 8410, 280, 768, 4133, 276, 463, 803, 5168, 457, 4054, 11, 2451, 1132, 657, 2762, 68889, 285, 22204, 625, 279, 245, 68220, 11, 49287, 3114, 13, 100001, 1385, 438, 254, 6159, 28599, 5064, 1323, 254, 1022, 13586, 280, 23608, 11, 285, 254, 12780, 438, 2495, 13, 21675, 2860, 4133, 581, 430, 254, 9539, 13, 41554, 362, 3505, 410, 4749, 245, 13423, 1452, 855, 254, 1461, 7524, 11, 372, 565, 327, 245, 2780, 657, 37583, 285, 937, 38833, 636, 1310, 13, 1063, 90055 ]

[ 100000, 207, 891, 565, 362, 7466, 254, 2012, 344, 395, 463, 4101, 30, 487, 207, 2901, 549, 4313, 344, 340, 2088, 11, 452, 5876, 256, 11, 418, 3080, 2854, 11, 487, 993, 1473, 81, 1089, 13, 207, 2901, 40, 661, 441, 36994, 768, 11, 285, 657, 2786, 330, 7589, 13, 1474, 1069, 2012, 359, 317, 254, 697, 280, 39369, 2520, 276, 1099, 3662, 26, 285, 304, 1282, 2065, 857, 1562, 11, 327, 359, 317, 254, 1810, 280, 14721, 11, 285, 279, 521, 437, 3502, 362, 643, 803, 254, 8037, 13, 487, 207, 2901, 7516, 11, 452, 5876, 256, 11, 487, 993, 39369, 2520, 11, 207, 2901, 8502, 1378, 254, 58285, 280, 452, 789, 21313, 279, 11, 285, 254, 25595, 280, 21675, 2860, 11, 5637, 2527, 344, 254, 3222, 2237, 487, 82, 3464, 313, 317, 245, 2421, 280, 1228, 4531, 276, 254, 75425, 13, 11169, 359, 317, 245, 7987, 13, 2461, 937, 30, 429, 46574, 254, 36968, 3441, 133, 215, 75, 2240, 13, 429, 32273, 418, 3443, 410, 16298, 13, 487, 2803, 437, 452, 789, 21313, 246, 38087, 11, 548, 1216, 441, 3753, 13, 207, 2901, 549, 14863, 395, 1006, 280, 13, 2461, 937, 317, 437, 634, 344, 362, 25372, 558, 1266, 30, 207, 2901, 2960, 317, 6031, 245, 5505, 9974, 280, 766, 1439, 254, 9321, 285, 254, 17165, 11, 1439, 254, 4257, 285, 254, 7526, 13, 1474, 254, 11474, 279, 254, 1006, 12, 64902, 280, 254, 58300, 643, 803, 8148, 430, 1562, 13, 11169, 1653, 9405, 13, 1494, 254, 75425, 643, 803, 3415, 4435, 11, 11765, 1236, 853, 304, 26619, 13, 1308, 1136, 317, 359, 344, 441, 2645, 437, 1012, 11, 437, 1079, 6237, 11, 372, 359, 3354, 11, 1216, 362, 3071, 254, 2201, 5919, 13, 100001, 2901, 7516, 1285, 543, 5175, 344, 1313, 1555, 4084, 304, 4367, 30725, 276, 1452, 254, 11394, 280, 254, 80221, 421, 12745, 279, 19895, 452, 37301, 332, 11, 285, 39841, 25827, 586, 4703, 11, 285, 1503, 4117, 344, 769, 23407, 778, 1927, 25, 362, 438, 5249, 750, 853, 9501, 60100, 11, 769, 75425, 280, 1712, 11, 430, 3973, 3950, 6775, 285, 1823, 1310, 13, 4754, 11, 1653, 11, 543, 5175, 839, 344, 10898, 8379, 696, 12, 679, 10253, 450, 473, 1721, 31977, 2481, 857, 11, 285, 327, 1234, 395, 12835, 857, 889, 13, 11169, 430, 1562, 11, 372, 586, 13423, 10318, 11, 10898, 8379, 34237, 11, 285, 254, 9288, 1957, 8188, 895, 6313, 285, 17354, 254, 11626, 636, 280, 12160, 74, 5694, 207, 891, 285, 344, 438, 279, 254, 1079, 1012, 280, 254, 7526, 280, 437, 26500, 25, 245, 8387, 5518, 11, 565, 5518, 359, 438, 13, 100001, 2901, 2395, 395, 778, 1653, 5189, 11, 372, 1473, 81, 1089, 56817, 2268, 13, 9501, 60100, 839, 661, 12835, 450, 11, 285, 661, 1234, 8479, 2481, 769, 19095, 11, 25652, 364, 694, 256, 473, 60144, 1184, 4302, 281, 74253, 341, 11, 1066, 586, 46574, 20595, 48066, 11, 2645, 521, 438, 4599, 13, 2928, 362, 4366, 1143, 1323, 450, 11, 548, 889, 749, 4379, 276, 31721, 11, 285, 3444, 1166, 2373, 276, 254, 17514, 25943, 285, 32346, 12487, 3177, 13, 100001, 4631, 327, 254, 1562, 766, 254, 9288, 2011, 26, 327, 1132, 395, 7213, 344, 362, 438, 12489, 2647, 691, 27576, 327, 254, 3474, 13, 1003, 26619, 937, 344, 362, 661, 742, 4921, 280, 359, 344, 395, 4437, 3011, 280, 13, 1474, 10898, 8379, 993, 45781, 11, 285, 9842, 856, 362, 661, 993, 276, 450, 1323, 25, 344, 254, 3474, 744, 1866, 1310, 330, 1503, 279, 14901, 12, 25914, 13, 82696, 441, 0, 3848, 3655, 543, 42357, 857, 13, 10351, 304, 441, 40788, 10876, 437, 3502, 30, 37390, 1308, 63454, 254, 6982, 359, 7276, 26, 285, 1234, 4084, 11, 1477, 9501, 60100, 25119, 11, 359, 438, 19178, 1224, 254, 9321, 276, 254, 15441, 13, 2071, 1632, 359, 9279, 2645, 254, 8386, 13, 56988, 207, 487, 39369, 2520, 7276, 13117, 11, 36545, 67089, 473, 254, 30576, 276, 254, 2367, 24079, 280, 254, 33480, 88, 34188, 11, 430, 4318, 1228, 15822, 254, 32280, 280, 254, 1843, 661, 558, 1234, 72876, 8628, 13, 1063, 34456, 13, 100001, 2901, 2960, 304, 438, 430, 10439, 11, 487, 362, 993, 13, 207, 2901, 40, 438, 63747, 271, 457, 254, 3073, 280, 10898, 8379, 254, 58300, 26, 548, 304, 1023, 463, 14144, 327, 254, 5919, 19026, 11, 285, 769, 32280, 744, 1132, 330, 2246, 13, 487, 207, 2901, 1380, 778, 521, 430, 10439, 11, 487, 993, 1473, 81, 1089, 11, 207, 2901, 384, 548, 327, 520, 85674, 254, 72547, 11, 6642, 11, 744, 2571, 330, 2065, 450, 13, 1474, 1481, 331, 0, 487, 207, 2901, 4044, 254, 1022, 601, 2997, 4727, 39096, 525, 11, 2481, 521, 2806, 344, 304, 4437, 11, 487, 993, 39369, 2520, 11, 207, 2901, 384, 304, 8758, 276, 1006, 946, 437, 2421, 2373, 276, 452, 3237, 377, 11, 285, 946, 1234, 362, 661, 21893, 359, 13, 2086, 304, 845, 245, 4348, 327, 857, 11, 31554, 344, 362, 744, 31076, 1234, 1865, 8188, 473, 586, 16342, 276, 9847, 327, 586, 20017, 13, 1063, 2373, 11, 548, 362, 21327, 285, 438, 441, 1503, 13, 1308, 937, 42157, 0, 304, 1632, 254, 3502, 1610, 11, 9697, 285, 7511, 889, 11, 372, 395, 463, 1653, 2752, 2368, 13, 100001, 2901, 3913, 5079, 366, 1313, 24501, 11, 2645, 601, 31146, 778, 46282, 1310, 276, 6363, 5663, 13, 2473, 347, 2373, 254, 38501, 3390, 487, 82, 7987, 30, 2461, 11, 565, 601, 5663, 438, 1927, 11, 1023, 330, 2368, 366, 359, 30, 12131, 2012, 304, 1534, 8875, 13, 100001, 2395, 304, 8921, 2618, 280, 601, 14489, 276, 5249, 11, 10539, 254, 32280, 280, 274, 405, 96236, 28174, 11, 565, 359, 2674, 80980, 13, 685, 521, 254, 1234, 27770, 366, 254, 17514, 25943, 54064, 643, 2647, 803, 769, 9846, 39085, 13, 100001, 2901, 4026, 438, 49028, 1555, 4084, 13, 30876, 304, 5322, 6737, 344, 65883, 280, 1313, 17314, 11, 1236, 35743, 285, 12789, 11, 778, 15629, 4078, 254, 1783, 641, 11, 285, 601, 5663, 10318, 13, 304, 2424, 327, 254, 1345, 280, 254, 9497, 21313, 13402, 444, 11, 285, 704, 4348, 438, 33897, 26, 285, 304, 6899, 601, 2997, 276, 52334, 1752, 11, 254, 35259, 280, 2128, 858, 332, 13, 487, 207, 2901, 2280, 304, 11, 487, 993, 52334, 1752, 11, 207, 2901, 21539, 3597, 6677, 344, 395, 1023, 18217, 327, 452, 3237, 377, 11, 1653, 5189, 2451, 359, 975, 1751, 13, 1308, 1962, 359, 4759, 4357, 344, 2128, 858, 332, 487, 82, 35259, 1023, 20128, 276, 9023, 2128, 858, 332, 487, 82, 10439, 11, 304, 2674, 366, 39369, 2520, 331, 254, 1234, 285, 30967, 3365, 13, 487, 2928, 39369, 2520, 3542, 946, 657, 661, 25827, 254, 3000, 3973, 280, 88820, 1569, 11, 1224, 1236, 276, 254, 34188, 280, 37134, 285, 254, 56302, 280, 364, 694, 256, 13, 207, 2901, 2960, 395, 661, 94675, 280, 857, 11, 285, 395, 6384, 344, 362, 48066, 745, 1234, 279, 254, 4426, 17188, 26, 548, 395, 1866, 1503, 857, 11, 285, 430, 1562, 304, 705, 66885, 13, 1308, 937, 279, 601, 22553, 304, 2215, 1310, 280, 245, 1727, 344, 1667, 1099, 254, 7526, 280, 452, 3237, 377, 405, 37857, 13, 429, 7987, 3964, 1667, 2410, 565, 359, 778, 254, 3474, 13, 429, 4887, 280, 3073, 430, 254, 9288, 2901, 207, 2901, 2901, 549, 46574, 11, 254, 32273, 11, 285, 254, 14863, 11, 56988, 362, 993, 11, 207, 2901, 2901, 5728, 1319, 704, 1826, 23827, 13, 3688, 558, 254, 3474, 13, 809, 438, 4078, 285, 405, 308, 1752, 271, 11, 372, 359, 778, 634, 280, 254, 30654, 19352, 26, 548, 895, 26338, 845, 14044, 2065, 359, 344, 254, 21976, 11, 6642, 11, 1027, 1592, 1019, 285, 1274, 13, 56988, 207, 2901, 2640, 1462, 14044, 778, 362, 661, 441, 993, 13, 8886, 1132, 744, 1006, 30, 429, 26338, 13, 1308, 10898, 8379, 30, 1474, 1228, 2451, 586, 63618, 975, 330, 11, 359, 1534, 463, 245, 3130, 13, 2461, 1297, 4617, 9501, 60100, 487, 82, 2647, 4586, 437, 2421, 11, 31076, 359, 438, 4739, 30, 429, 1297, 280, 2128, 858, 332, 5254, 13, 100001, 2901, 3220, 344, 2215, 11, 304, 327, 675, 544, 254, 29625, 11, 285, 5079, 35503, 276, 92552, 256, 13, 685, 5676, 2507, 254, 4000, 280, 601, 1835, 661, 803, 1136, 4503, 745, 11, 548, 10898, 8379, 1094, 280, 521, 13, 28862, 362, 661, 803, 327, 1234, 254, 11477, 280, 254, 40154, 280, 254, 5183, 13, 22484, 9335, 1216, 254, 5157, 10806, 862, 256, 1296, 525, 937, 853, 280, 1712, 11, 285, 917, 79779, 326, 362, 16949, 525, 276, 3365, 3264, 586, 8624, 17593, 15916, 82, 285, 5515, 13, 100001, 2901, 207, 2901, 2901, 1847, 6031, 340, 1068, 889, 11, 372, 340, 1481, 11, 327, 8727, 280, 10641, 2507, 11, 285, 254, 59002, 280, 254, 5183, 11, 1274, 331, 0, 56988, 362, 993, 13, 207, 2901, 2901, 1988, 276, 525, 856, 438, 317, 2246, 4426, 853, 856, 317, 276, 1865, 11, 285, 344, 317, 601, 2062, 13, 1474, 6838, 340, 463, 691, 11228, 1236, 853, 10898, 8379, 11, 779, 643, 10876, 1285, 1234, 11, 340, 543, 1275, 66003, 344, 317, 441, 1136, 3185, 276, 525, 11, 779, 608, 5738, 280, 254, 63618, 280, 437, 5183, 13, 56988, 207, 2901, 3139, 993, 10806, 862, 256, 13, 1308, 2618, 745, 9279, 279, 586, 8624, 2550, 1313, 8727, 344, 1860, 1236, 280, 254, 63618, 12, 57118, 1132, 481, 1274, 11, 327, 704, 18739, 285, 51773, 463, 3261, 4426, 276, 3470, 1743, 13, 1308, 15364, 283, 348, 11, 745, 11012, 279, 4302, 281, 41821, 349, 1592, 11, 405, 1189, 11, 304, 6384, 11, 457, 688, 4617, 10898, 8379, 285, 4367, 1962, 254, 27198, 5985, 11, 245, 15916, 344, 2128, 858, 332, 1401, 3177, 13, 1494, 2128, 858, 332, 1216, 441, 16873, 2302, 6044, 473, 254, 4429, 279, 364, 694, 256, 11, 372, 742, 463, 3542, 254, 19025, 13, 487, 207, 2901, 7516, 279, 254, 5226, 11, 6642, 11, 487, 15364, 283, 348, 11564, 279, 13, 207, 2901, 3315, 1006, 279, 92552, 256, 344, 362, 2674, 1022, 276, 4302, 281, 1640, 256, 285, 48066, 245, 1477, 366, 586, 37713, 10889, 17667, 296, 11, 13523, 272, 857, 11, 1323, 362, 11684, 276, 857, 254, 6290, 280, 254, 5178, 17903, 13, 685, 344, 766, 362, 26976, 745, 254, 1562, 20973, 2237, 280, 254, 7883, 18340, 279, 4887, 280, 586, 6251, 13, 487, 207, 2901, 2395, 279, 344, 766, 839, 362, 1401, 437, 15916, 11, 487, 993, 39369, 2520, 26, 207, 2901, 384, 344, 317, 441, 16663, 279, 92552, 256, 11, 359, 744, 1751, 13, 1494, 437, 15916, 11820, 254, 26500, 11, 285, 4117, 7048, 2128, 858, 332, 28351, 25, 429, 6982, 26500, 2786, 614, 1132, 276, 330, 274, 35259, 13107, 280, 254, 5226, 17903, 26, 548, 8727, 280, 359, 2786, 330, 2116, 279, 92552, 256, 11, 1066, 839, 23404, 254, 66657, 280, 1473, 409, 296, 11, 28252, 245, 766, 1865, 754, 254, 4887, 280, 1069, 1228, 10146, 2786, 2554, 4165, 13, 100001, 2901, 2280, 1166, 1069, 3073, 2128, 858, 332, 5734, 254, 26500, 11, 1108, 372, 362, 1503, 359, 13, 8589, 372, 304, 3708, 359, 317, 48999, 11, 285, 359, 1751, 862, 276, 28089, 11, 2451, 359, 3312, 862, 8533, 895, 8349, 5068, 895, 6775, 13, 47183, 254, 4456, 2065, 359, 11, 588, 430, 1022, 438, 372, 3662, 372, 3074, 24138, 11, 99848, 862, 285, 317, 1132, 889, 21300, 276, 330, 1274, 13, 809, 317, 51147, 279, 274, 466, 1722, 12, 2663, 280, 427, 15392, 11, 327, 657, 463, 642, 9187, 279, 364, 694, 256, 327, 1108, 19545, 830, 26, 548, 254, 4706, 317, 9255, 276, 525, 13, 304, 52380, 359, 276, 330, 245, 16777, 280, 254, 6350, 10245, 11, 1962, 359, 317, 34637, 285, 25371, 2649, 13, 2461, 11626, 359, 46110, 304, 536, 441, 1006, 26, 548, 304, 11362, 1285, 245, 4486, 280, 359, 11, 28252, 359, 28747, 5897, 10461, 13, 100001, 549, 26500, 3610, 862, 11, 6642, 11, 254, 6142, 280, 9501, 60100, 487, 82, 1297, 11, 588, 438, 3438, 285, 2618, 21861, 837, 4043, 11, 285, 558, 17308, 12, 17092, 308, 438, 16298, 26, 285, 6642, 778, 254, 5299, 1401, 3550, 1310, 11, 254, 4456, 744, 330, 51870, 13, 1474, 327, 601, 697, 304, 543, 5441, 642, 12392, 276, 437, 2421, 25, 280, 521, 254, 2722, 280, 9501, 60100, 254, 889, 4770, 13, 100001, 1385, 317, 17353, 276, 525, 11, 2451, 304, 3471, 359, 366, 1228, 4452, 13, 100001, 2901, 3287, 304, 1274 ]

[ 100000, 4426, 17040, 18294, 11, 285, 12472, 636, 280, 254, 2882, 13, 1063, 4739, 1690, 280, 766, 11, 31971, 12, 6209, 1439, 5476, 285, 36883, 11, 2645, 7654, 17943, 2373, 855, 857, 13, 100001, 51297, 7421, 33734, 581, 5764, 344, 362, 4101, 586, 5738, 9609, 13, 100001, 1385, 438, 6787, 13, 21675, 2860, 1027, 441, 463, 2424, 11, 327, 362, 661, 14844, 20208, 11, 285, 661, 57580, 1224, 6128, 276, 254, 5736, 280, 254, 12611, 13, 452, 3237, 377, 438, 457, 857, 13, 1494, 245, 2780, 7421, 2215, 344, 362, 438, 3507, 276, 79542, 21675, 2860, 26, 937, 362, 3505, 344, 359, 438, 441, 558, 13, 452, 3237, 377, 438, 6807, 276, 3177, 13, 324, 1513, 21313, 361, 314, 438, 9523, 245, 16761, 366, 742, 750, 2215, 344, 1222, 254, 1246, 5136, 548, 1401, 359, 49594, 559, 285, 586, 82, 13, 338, 14211, 2156, 285, 245, 5575, 2156, 5310, 616, 279, 586, 3545, 372, 362, 8921, 13, 416, 27650, 1123, 11, 441, 276, 1632, 12823, 463, 359, 207, 891, 1866, 13, 1474, 359, 487, 82, 1872, 276, 12823, 11, 5348, 11, 23479, 1131, 3458, 13, 2461, 487, 82, 254, 38501, 3390, 1872, 276, 536, 366, 359, 11, 395, 32260, 11, 5348, 395, 32260, 13, 487, 207, 2901, 40, 1113, 487, 83, 1006, 13, 304, 481, 487, 83, 1345, 359, 13, 9890, 487, 82, 2149, 359, 13, 324, 1513, 21313, 361, 314, 15561, 276, 1345, 254, 5738, 13, 487, 207, 2901, 5661, 11, 5348, 11, 276, 1345, 254, 5738, 25, 254, 5738, 280, 254, 27650, 1123, 13, 1474, 565, 395, 438, 5738, 11, 937, 395, 1027, 1345, 769, 1182, 82, 11, 5348, 11, 285, 1592, 2240, 22433, 13, 487, 207, 2901, 2395, 324, 1513, 21313, 361, 314, 993, 362, 744, 330, 1079, 1079, 1207, 13, 30287, 38501, 3390, 0, 1063, 3061, 17426, 22967, 842, 324, 1513, 21313, 361, 314, 487, 82, 2758, 13, 1063, 19926, 22663, 276, 525, 13, 487, 207, 2901, 16877, 1079, 1207, 11, 32675, 11, 601, 17353, 30, 3960, 487, 82, 330, 1207, 11, 1207, 372, 8700, 11, 6584, 634, 11, 548, 276, 769, 1182, 82, 13, 3688, 12392, 254, 5538, 38501, 3390, 11, 280, 2629, 11, 642, 11, 642, 13, 487, 207, 2901, 2395, 254, 27650, 1123, 7432, 254, 10668, 11, 487, 254, 5136, 280, 324, 1513, 21313, 361, 314, 54774, 13, 100001, 2901, 4631, 1529, 359, 11, 487, 993, 254, 750, 11, 207, 2901, 384, 1632, 487, 82, 2785, 359, 769, 1182, 82, 0, 2928, 395, 2786, 330, 5738, 11, 307, 3237, 377, 0, 8516, 254, 750, 38501, 3390, 11, 254, 36978, 29286, 38501, 3390, 11, 1099, 857, 46249, 11, 5348, 11, 307, 3237, 377, 0, 487, 207, 2901, 2395, 441, 254, 5538, 38501, 3390, 30, 487, 207, 2901, 6023, 642, 11, 441, 565, 359, 2845, 487, 83, 4066, 450, 13, 14070, 362, 487, 82, 245, 380, 15305, 1233, 11, 601, 17353, 11, 5348, 11, 245, 380, 15305, 1233, 13, 338, 380, 15305, 1233, 32619, 359, 13, 1063, 1503, 359, 285, 362, 993, 3011, 11, 3011, 13, 1003, 55198, 380, 15305, 1233, 257, 13, 487, 207, 2901, 3233, 11, 441, 437, 380, 15305, 1233, 13, 487, 207, 2901, 5661, 11, 1131, 380, 15305, 1233, 13, 2428, 32369, 344, 2240, 254, 27650, 1123, 13, 1003, 1534, 463, 359, 0, 487, 207, 2901, 2395, 1063, 487, 647, 1019, 11, 1063, 487, 647, 1006, 13, 1063, 487, 647, 1529, 359, 473, 450, 0, 487, 207, 2901, 2450, 14338, 13, 1063, 7466, 13, 1063, 4101, 450, 1099, 23047, 22433, 207, 891, 2481, 3848, 9162, 11, 5348, 13, 19245, 1529, 359, 13, 429, 423, 402, 349, 82, 418, 12095, 13, 19245, 1529, 359, 13, 487, 207, 2901, 3647, 327, 12823, 0, 487, 207, 2901, 3233, 11, 6584, 634, 13, 5129, 11, 601, 17353, 25, 565, 395, 643, 359, 11, 937, 395, 481, 10778, 11, 1236, 473, 12823, 11, 32675, 30, 13394, 395, 19112, 1079, 2955, 11, 13338, 853, 423, 402, 349, 82, 13, 5157, 324, 1513, 21313, 361, 314, 30, 452, 3237, 377, 254, 6982, 30, 429, 452, 3237, 377, 0, 48979, 8700, 1131, 1492, 11, 1853, 2602, 245, 1492, 11, 5583, 473, 254, 5532, 13, 7188, 27650, 1123, 40809, 12, 45034, 0, 19245, 463, 359, 13, 1003, 7572, 359, 11, 395, 7572, 359, 11, 395, 7572, 359, 0, 487, 207, 2901, 2395, 745, 487, 82, 984, 280, 768, 13, 1955, 487, 647, 15511, 1653, 3399, 285, 6856, 450, 11, 487, 376, 1343, 324, 1513, 21313, 361, 314, 279, 245, 1562, 7038, 13, 207, 2901, 3647, 1132, 13, 3688, 2618, 13, 487, 207, 2901, 1380, 7572, 359, 0, 1474, 487, 207, 891, 285, 1285, 745, 438, 245, 1234, 19548, 11, 372, 565, 245, 761, 2215, 661, 259, 27406, 13, 207, 2901, 3647, 2618, 11, 32675, 30, 13394, 441, 13, 2130, 1667, 1345, 13, 100001, 4622, 1667, 11, 5348, 13, 487, 207, 2901, 3233, 11, 642, 0, 3688, 344, 1143, 0, 487, 259, 3045, 324, 1513, 21313, 361, 314, 13, 100001, 2901, 5661, 0, 1003, 7572, 359, 0, 1003, 7572, 359, 0, 487, 2296, 245, 48392, 372, 324, 1513, 21313, 361, 314, 8921, 1310, 13, 12226, 1572, 7921, 11, 366, 1234, 14773, 8268, 271, 285, 3172, 50445, 11, 60961, 271, 5135, 586, 10225, 13, 100001, 22407, 661, 72876, 1592, 11, 49786, 457, 437, 16761, 11, 548, 9697, 1131, 2938, 344, 452, 3237, 377, 1401, 473, 1090, 586, 3222, 12, 13786, 6011, 12, 37700, 13, 2158, 586, 2976, 2764, 12224, 28406, 11, 254, 8836, 276, 6540, 38501, 11834, 11, 661, 4759, 254, 8037, 7082, 279, 452, 3237, 377, 13, 1063, 12621, 1132, 344, 359, 438, 441, 558, 25, 452, 3237, 377, 438, 6153, 254, 12906, 1282, 280, 254, 26500, 13, 429, 17514, 5157, 438, 1063, 11, 280, 2629, 26, 548, 7421, 21517, 779, 2130, 438, 13, 3474, 280, 254, 36978, 3997, 254, 1585, 60087, 661, 1401, 279, 586, 34730, 791, 11, 362, 8548, 13, 100001, 4631, 362, 10498, 254, 1420, 11, 327, 2012, 661, 29224, 5418, 2367, 2527, 11, 285, 778, 3442, 11866, 13, 338, 1228, 10853, 1566, 438, 279, 521, 586, 32004, 11, 548, 362, 46850, 3177, 366, 274, 7038, 285, 2659, 581, 13, 22494, 24761, 857, 276, 330, 11955, 285, 441, 276, 17547, 344, 362, 661, 76860, 254, 16761, 13, 100001, 2450, 1632, 636, 245, 12724, 23310, 285, 4366, 245, 6791, 79764, 13, 100001, 2901, 2640, 487, 82, 254, 766, 30, 487, 362, 993, 5476, 1214, 13, 100001, 38, 3237, 377, 2143, 636, 245, 1234, 586, 82, 1184, 586, 12466, 13, 1063, 6626, 581, 327, 245, 2780, 11, 17891, 285, 85267, 26, 285, 937, 362, 43340, 11, 13520, 4312, 331, 276, 521, 94737, 285, 64370, 581, 254, 6185, 280, 254, 12611, 13, 207, 2901, 35458, 38501, 11834, 0, 30287, 7421, 0, 487, 362, 993, 13, 207, 2901, 42292, 88, 11991, 11, 5348, 11, 53730, 11991, 0, 28764, 1207, 324, 1513, 21313, 361, 314, 276, 4348, 0, 1474, 359, 487, 82, 6787, 13, 414, 24473, 317, 55073, 13, 6930, 276, 614, 13, 487, 207, 2901, 13960, 766, 0, 487, 2215, 7421, 13, 207, 2901, 2280, 766, 395, 33651, 11, 1653, 13, 487, 11169, 359, 17033, 586, 2764, 276, 3860, 565, 6031, 452, 3237, 377, 438, 441, 1132, 372, 11866, 4540, 15374, 372, 5982, 366, 768, 13, 207, 2901, 34, 15962, 857, 0, 304, 4796, 362, 438, 63326, 0, 487, 362, 35351, 13, 1063, 38950, 1224, 254, 6185, 285, 46850, 586, 5738, 13, 100001, 6623, 80774, 2527, 11, 21675, 2860, 4749, 51870, 13, 1063, 661, 803, 40610, 13, 100001, 549, 4426, 13423, 661, 5079, 11, 285, 245, 4770, 10046, 661, 13390, 857, 279, 437, 3114, 280, 8666, 13, 15573, 10471, 280, 359, 279, 586, 4887, 11, 2618, 1373, 280, 359, 362, 4749, 7684, 285, 25122, 280, 2997, 13, 3848, 18953, 438, 2246, 6751, 331, 857, 13, 452, 3237, 377, 28652, 857, 366, 5025, 12, 4018, 9175, 13, 1063, 77992, 285, 12465, 5660, 11, 53165, 586, 1234, 14773, 11, 285, 60948, 272, 430, 21675, 2860, 487, 82, 20661, 13, 100001, 53556, 2860, 17424, 430, 857, 13, 100001, 2901, 17095, 0, 487, 362, 993, 13, 207, 2901, 2054, 463, 24732, 450, 1136, 285, 46080, 13, 1002, 317, 254, 1562, 6351, 13, 30626, 450, 276, 254, 22425, 11, 285, 937, 304, 543, 441, 2088, 340, 276, 614, 3572, 13, 30626, 450, 276, 254, 22425, 11, 285, 340, 975, 614, 1066, 340, 4796, 207, 891, 889, 441, 276, 769, 14924, 13, 487, 207, 2901, 1898, 254, 22425, 11, 32675, 30, 487, 452, 3237, 377, 49594, 8910, 11, 43905, 12052, 285, 16163, 12, 456, 271, 13, 207, 2901, 1898, 254, 22425, 11, 5738, 2970, 0, 7587, 11, 362, 2970, 558, 13, 1308, 1207, 324, 1513, 21313, 361, 314, 1217, 856, 362, 17240, 11, 508, 5348, 13, 1474, 754, 395, 5698, 11765, 11, 395, 487, 647, 1019, 5216, 11, 395, 487, 647, 1019, 937, 13, 809, 2115, 487, 83, 1068, 5538, 430, 521, 13, 508, 642, 0, 508, 642, 0, 487, 207, 2901, 7350, 331, 366, 340, 0, 487, 993, 7421, 13, 207, 2901, 4160, 487, 82, 752, 359, 855, 0, 487, 7610, 657, 4749, 2561, 691, 254, 5663, 344, 661, 14844, 331, 768, 754, 254, 79573, 6775, 24671, 855, 254, 93802, 13, 1955, 41639, 11, 258, 1175, 272, 331, 254, 11626, 12, 3081, 4192, 3419, 26, 548, 657, 3505, 3011, 279, 254, 37607, 6787, 9539, 2330, 11, 285, 3444, 254, 76005, 5079, 11, 1461, 22241, 11, 1872, 6642, 331, 742, 18847, 58205, 473, 4643, 308, 12, 678, 133, 215, 428, 13, 4128, 245, 1477, 452, 3237, 377, 2149, 581, 285, 39262, 4312, 1310, 11, 93956, 285, 30030, 13, 100001, 13664, 274, 5064, 1166, 23731, 254, 5663, 7276, 331, 768, 245, 4443, 766, 11, 548, 359, 1132, 4759, 691, 9409, 11, 372, 565, 359, 778, 9989, 2367, 2330, 254, 16785, 11, 32907, 366, 12906, 4583, 881, 254, 5653, 13, 452, 3237, 377, 11, 3111, 11, 438, 30139, 366, 11845, 11, 285, 438, 19561, 344, 657, 778, 1435, 55601, 11, 344, 704, 3956, 438, 3185, 13, 100001, 2901, 21477, 2602, 0, 487, 362, 62713, 13993, 13, 207, 2901, 21477, 2602, 317, 245, 8165, 13, 1955, 2213, 450, 1285, 11, 657, 2213, 254, 27650, 1123, 13, 429, 27650, 1123, 317, 704, 5738, 13, 1003, 2977, 614, 688, 3572, 437, 1143, 11, 642, 13, 809, 487, 82, 642, 938, 11, 642, 938, 0, 487, 375, 21374, 285, 2447, 3073, 778, 642, 4172, 280, 688, 12764, 13, 809, 438, 441, 2645, 21675, 2860, 26577, 857, 52838, 285, 9835, 245, 1297, 331, 586, 16356, 12, 71, 3278, 344, 452, 3237, 377, 744, 752, 581, 1310, 13, 2928, 430, 1562, 362, 8728, 366, 245, 4505, 11539, 11, 285, 2674, 1323, 768, 837, 245, 26354, 5025, 13, 100001, 3139, 657, 38950, 331, 1184, 254, 25761, 1225, 280, 254, 2653, 11, 285, 2645, 254, 4321, 280, 1913, 1492, 280, 5663, 657, 10408, 279, 12114, 366, 31788, 11991, 11, 7123, 3011, 11, 285, 10921, 3011, 548, 254, 5409, 586, 4288, 279, 704, 14501, 13, 27024, 207, 18, 5048, 69006, 452, 4008, 5077, 63748, 26851, 12337, 254, 2112, 1492, 80320, 704, 8398, 276, 364, 694, 256, 438, 855, 13, 429, 93802, 285, 254, 14231, 778, 4435, 768, 13, 12337, 768, 11, 4426, 2237, 2481, 245, 91843, 9539, 11, 254, 1228, 14499, 69633, 704, 31488, 11991, 13, 100001, 32944, 254, 11348, 280, 364, 694, 256, 33378, 254, 37607, 3169, 280, 12788, 4116, 9497, 21313, 511, 11, 254, 34188, 280, 37134, 11, 285, 2065, 254, 8687, 254, 7488, 24079, 285, 49287, 70185, 280, 427, 506, 54874, 3970, 11, 14518, 372, 16637, 13, 1474, 372, 1069, 18671, 20521, 634, 1913, 11, 1435, 6031, 548, 4373, 280, 634, 1228, 4239, 786, 254, 70851, 39584, 280, 54874, 13322, 285, 280, 73740, 256, 1034, 11, 285, 254, 17406, 51561, 5532, 280, 36644, 21313, 19950, 255, 18872, 2377, 11, 657, 39655, 636, 1234, 7921, 67332, 26, 285, 1439, 1069, 7921, 745, 438, 245, 4399, 977, 605, 13, 1002, 438, 33487, 349, 73740, 256, 11, 254, 10519, 23090, 10336, 11, 254, 15157, 276, 254, 3114, 280, 254, 75425, 13, 5558, 46651, 31679, 2065, 2818, 2387, 11, 285, 23773, 4312, 473, 895, 8602, 778, 984, 30084, 17188, 11, 3438, 12, 6653, 271, 285, 10922, 13, 22162, 768, 6626, 254, 3137, 862, 280, 364, 694, 256, 11, 984, 33549, 2955, 285, 8670, 13, 685, 2507, 1234, 2882, 657, 778, 4930, 457, 254, 10889, 280, 92552, 256, 279, 704, 13881, 285, 1823, 11, 1166, 254, 63230, 280, 9501 ]

[ 100000, 9539, 438, 5501, 11, 285, 254, 4281, 280, 9939, 91124, 2065, 254, 12967, 285, 4733, 1234, 5575, 25851, 14172, 254, 7636, 13, 100001, 2901, 87901, 0, 1257, 418, 1865, 276, 22194, 246, 4658, 74717, 11, 487, 993, 19002, 5644, 13, 207, 2901, 1988, 437, 317, 254, 2997, 280, 254, 10641, 26210, 372, 359, 438, 1234, 4084, 11, 285, 1285, 317, 254, 58651, 280, 4658, 74717, 11, 1066, 279, 32740, 2507, 586, 1461, 2558, 438, 4930, 13, 100001, 4898, 2647, 36399, 254, 8678, 10252, 279, 254, 15194, 9308, 11387, 25, 254, 10421, 466, 37952, 11, 285, 254, 14211, 291, 17225, 506, 296, 13, 4462, 395, 543, 4152, 33826, 11, 285, 1865, 276, 254, 3787, 280, 254, 7646, 53813, 4383, 430, 50537, 13, 487, 429, 3072, 4733, 4449, 1224, 2065, 254, 53447, 11387, 11, 548, 21675, 2860, 6626, 33826, 1592, 4739, 279, 3860, 13, 809, 4759, 276, 857, 344, 362, 661, 20210, 1184, 245, 1461, 4071, 344, 4133, 331, 245, 35638, 1843, 13, 338, 2156, 438, 2065, 359, 327, 588, 586, 4706, 661, 642, 1210, 13, 2428, 344, 362, 3505, 438, 75661, 733, 11, 548, 254, 18294, 4759, 430, 2561, 3662, 3423, 11, 372, 565, 657, 661, 803, 1022, 33617, 285, 10237, 430, 254, 45745, 272, 280, 586, 3545, 11, 285, 10641, 372, 565, 657, 661, 45653, 327, 2647, 13, 1063, 3505, 642, 9273, 548, 1462, 362, 4437, 11, 5299, 285, 3682, 285, 5501, 285, 5575, 11, 548, 657, 778, 5583, 285, 82015, 11, 372, 565, 362, 661, 430, 344, 2780, 1022, 20940, 768, 256, 35527, 465, 1027, 330, 2826, 279, 3270, 344, 10318, 2065, 254, 6039, 13, 2426, 254, 3114, 280, 7980, 21313, 19646, 745, 438, 642, 18344, 13, 100001, 2450, 4540, 285, 3505, 344, 7421, 438, 1132, 8898, 13869, 857, 11, 2709, 4078, 366, 245, 39231, 5761, 11, 285, 48988, 586, 3545, 372, 565, 362, 438, 441, 2049, 344, 362, 438, 28183, 13, 207, 2901, 1385, 487, 82, 29626, 285, 6464, 1492, 11, 1329, 2527, 11, 487, 362, 993, 13, 207, 2901, 40, 2215, 344, 1473, 1606, 778, 521, 327, 12780, 285, 7524, 25, 548, 437, 317, 691, 1473, 85, 844, 853, 3270, 304, 2647, 4101, 2410, 280, 13, 304, 2213, 372, 565, 304, 438, 4650, 245, 5654, 11, 565, 340, 1529, 601, 4569, 13, 487, 19002, 5644, 4133, 430, 768, 11, 285, 362, 4759, 6031, 276, 1529, 254, 4569, 280, 1572, 2215, 285, 1734, 13, 1063, 17424, 13, 207, 2901, 2054, 2213, 254, 1823, 280, 254, 10850, 280, 254, 7646, 53813, 4383, 11, 487, 362, 993, 13, 207, 2901, 18684, 359, 4066, 340, 276, 23170, 366, 525, 581, 22194, 246, 4658, 74717, 30, 487, 1955, 5496, 857, 372, 362, 20210, 24404, 581, 254, 11387, 12, 62007, 45021, 13, 100001, 23077, 362, 10408, 285, 47460, 11, 285, 786, 857, 4731, 8242, 285, 10252, 778, 38087, 457, 254, 1246, 5559, 5409, 372, 267, 8877, 586, 3059, 11, 21675, 2860, 4749, 344, 362, 438, 279, 245, 49993, 3114, 344, 1216, 441, 28747, 410, 2262, 410, 3467, 881, 7654, 17943, 13, 2473, 362, 661, 5418, 285, 5079, 1310, 881, 254, 12881, 1843, 11, 1592, 21675, 2860, 254, 18012, 12164, 473, 254, 1783, 641, 744, 3667, 745, 11, 2065, 254, 11387, 3264, 466, 37952, 285, 291, 17225, 506, 296, 279, 4770, 86777, 789, 21313, 19646, 13, 100001, 5490, 8400, 254, 9982, 280, 3682, 7636, 13, 1733, 657, 1216, 558, 254, 5178, 17902, 33515, 2065, 22194, 246, 4658, 74717, 285, 34456, 3264, 254, 16000, 13, 100001, 53556, 2860, 6626, 1592, 11, 10921, 2367, 842, 1228, 27094, 2065, 30150, 344, 661, 1234, 4084, 803, 26829, 2302, 11, 285, 5532, 12, 40543, 24302, 4318, 7499, 661, 56999, 473, 254, 6039, 13, 100001, 48253, 5644, 661, 5418, 331, 285, 438, 1132, 26802, 276, 254, 1461, 94952, 13, 1733, 21675, 2860, 8479, 276, 1181, 857, 11, 362, 9835, 586, 1297, 2065, 254, 5330, 13869, 254, 29007, 25, 1866, 1323, 661, 362, 803, 558, 8963, 285, 558, 60355, 6737, 280, 254, 2213, 285, 17079, 280, 245, 5330, 487, 82, 6219, 285, 280, 254, 1728, 2383, 359, 13, 1063, 4749, 245, 9175, 279, 4837, 285, 254, 5402, 280, 359, 11, 8533, 372, 2679, 3559, 5068, 372, 64417, 26, 359, 438, 254, 9175, 280, 254, 4731, 5330, 3964, 13, 100001, 2124, 362, 20210, 636, 430, 1562, 2065, 254, 35246, 6259, 11, 19002, 5644, 3061, 586, 1297, 285, 4540, 857, 5135, 254, 5178, 13, 207, 2901, 9610, 437, 1143, 1022, 0, 487, 362, 993, 13, 100001, 53556, 2860, 4133, 285, 3505, 11, 1592, 430, 742, 5013, 11, 245, 12967, 280, 1313, 18995, 7636, 11, 410, 245, 3787, 280, 5575, 33549, 25, 588, 359, 438, 362, 1027, 441, 2410, 13, 6367, 280, 359, 11, 359, 4759, 276, 857, 344, 254, 1823, 285, 2156, 2373, 344, 4586, 521, 254, 3114, 279, 32407, 13, 1063, 50075, 8963, 276, 10572, 837, 245, 7854, 276, 1610, 279, 254, 5575, 3787, 13, 2928, 362, 4133, 67089, 285, 3505, 521, 254, 3114, 280, 7980, 21313, 4397, 255, 3268, 1224, 276, 254, 14211, 53353, 280, 1308, 63454, 11, 254, 6982, 9321, 13, 1063, 18949, 586, 3545, 3246, 254, 8144, 285, 521, 254, 2156, 2674, 636, 11, 285, 362, 438, 1062, 1310, 279, 254, 1843, 362, 4437, 13, 30042, 254, 8144, 254, 3114, 7676, 7372, 285, 7137, 11, 1020, 1568, 285, 25718, 11, 2645, 2367, 2302, 359, 8728, 1310, 837, 245, 2901, 2960, 11012, 254, 4311, 1465, 280, 15685, 12160, 74, 5694, 11, 487, 993, 19002, 5644, 13, 207, 2901, 1385, 317, 47286, 279, 245, 9625, 280, 4426, 45744, 11, 1066, 254, 7636, 27899, 634, 2481, 1913, 285, 704, 16000, 6299, 285, 71295, 13, 685, 254, 19480, 2065, 245, 84215, 5484, 11125, 19895, 452, 37301, 332, 11, 1066, 1234, 254, 8628, 75425, 661, 586, 31159, 13, 100001, 1380, 5663, 344, 1132, 359, 317, 52090, 1310, 11, 285, 366, 1823, 7960, 11788, 13, 338, 3438, 6788, 11012, 2752, 855, 359, 280, 5189, 13, 685, 437, 1461, 1810, 340, 975, 1019, 254, 984, 12056, 344, 418, 15185, 634, 276, 1913, 26, 285, 2647, 657, 27899, 1132, 279, 2215, 11, 548, 12130, 254, 2156, 32878, 1812, 254, 1079, 2997, 280, 254, 16342, 11, 895, 1377, 6486, 643, 441, 803, 9351, 13, 3688, 2618, 13, 487, 1063, 4540, 285, 32545, 35503, 1224, 11, 285, 657, 5496, 857, 13, 100001, 3567, 254, 12967, 487, 82, 4414, 21675, 2860, 1503, 52334, 1752, 11, 8898, 1592, 285, 13117, 372, 245, 5330, 26, 548, 279, 586, 1297, 438, 245, 1760, 14544, 36399, 280, 466, 37952, 11, 285, 245, 2156, 438, 279, 586, 3545, 13, 1063, 438, 19878, 279, 742, 4770, 4887, 25, 285, 372, 21675, 2860, 4133, 430, 857, 362, 4437, 344, 362, 40547, 2012, 372, 657, 2561, 661, 803, 279, 437, 1246, 1810, 13, 1494, 254, 28034, 1555, 778, 6910, 473, 254, 3059, 280, 52334, 1752, 11, 285, 362, 4759, 51914, 279, 3682, 11, 245, 2823, 15332, 8670, 285, 4770, 26, 285, 362, 8921, 3073, 279, 254, 1473, 85, 844, 16777, 276, 634, 4989, 21675, 2860, 1027, 441, 1019, 13, 1576, 20881, 2068, 92805, 1361, 11, 291, 4210, 21313, 5838, 124, 101, 0, 362, 993, 11, 285, 937, 362, 12419, 245, 9004, 11, 285, 14108, 636, 280, 586, 2215, 362, 4133, 430, 21675, 2860, 285, 17424, 13, 100001, 2901, 4898, 317, 254, 2997, 280, 1473, 85, 80700, 331, 6039, 11, 487, 362, 993, 11, 207, 2901, 384, 1285, 601, 2997, 90624, 2647, 11, 6838, 745, 330, 245, 2156, 5897, 254, 4426, 16672, 344, 395, 1592, 1534, 32525, 11, 340, 285, 304, 13, 15512, 366, 525, 0, 487, 1308, 3950, 21675, 2860, 487, 82, 1297, 279, 586, 11, 362, 2116, 254, 12967, 280, 22194, 246, 4658, 74717, 285, 2373, 745, 1866, 1310, 372, 4731, 668, 13, 27024, 207, 22, 5048, 85020, 49, 1698, 5372, 87712, 3206, 9013, 6379, 429, 4281, 438, 38034, 4435, 254, 14499, 11, 285, 254, 25851, 778, 90951, 279, 254, 16763, 11, 754, 657, 2674, 331, 1310, 13, 9191, 12888, 1132, 2674, 881, 7141, 1550, 1066, 254, 50537, 661, 2571, 15629, 13, 14083, 2373, 14172, 254, 7636, 372, 657, 10408, 11, 285, 254, 1473, 1606, 46620, 704, 11041, 30842, 13, 100001, 51297, 657, 2373, 636, 881, 254, 1721, 1310, 285, 1503, 4449, 1090, 245, 14211, 6787, 9539, 793, 11743, 457, 245, 1860, 3923, 7524, 13, 2071, 438, 245, 5505, 2333, 6928, 2516, 1323, 768, 11, 3268, 279, 245, 1228, 9982, 285, 34424, 2302, 331, 2818, 1297, 13, 30042, 359, 438, 245, 4399, 18192, 346, 4739, 279, 2838, 13423, 11, 548, 254, 11387, 2065, 895, 63330, 438, 5575, 11, 372, 565, 359, 91124, 1592, 279, 4887, 280, 254, 4281, 344, 661, 5418, 13, 22162, 254, 3572, 2387, 745, 8728, 276, 245, 1228, 5484, 245, 5575, 4239, 71347, 51737, 245, 5575, 12967, 47243, 271, 366, 27678, 1752, 12, 31024, 30182, 853, 688, 657, 661, 2618, 2826, 279, 521, 254, 3114, 13, 9191, 5484, 1027, 441, 330, 35375, 11, 548, 657, 6626, 581, 279, 254, 45660, 837, 4731, 33549, 13, 100001, 774, 704, 1313, 12, 41655, 506, 16000, 285, 18872, 704, 2647, 12, 39995, 8242, 28319, 11493, 778, 64195, 11, 5575, 285, 5299, 285, 11041, 13, 19002, 5644, 4540, 5135, 254, 7947, 13, 100001, 2901, 20684, 276, 2872, 281, 7646, 308, 18498, 0, 487, 362, 993, 13, 207, 2901, 4898, 317, 254, 3787, 280, 254, 7646, 53813, 4383, 1066, 23404, 254, 5157, 76115, 13176, 285, 7646, 308, 20856, 254, 10850, 280, 7980, 21313, 4397, 255, 13, 1474, 395, 2977, 5223, 1285, 11, 327, 254, 18318, 536, 441, 1068, 8687, 12, 22628, 13, 1003, 1534, 614, 4078, 276, 254, 18034, 2387, 11, 285, 254, 1143, 317, 441, 2577, 11, 327, 254, 3787, 317, 1228, 13, 487, 2071, 438, 245, 4559, 53905, 366, 3682, 8665, 3268, 331, 254, 12881, 63330, 280, 254, 18192, 346, 13, 29051, 437, 657, 2674, 59335, 11, 366, 254, 3787, 2647, 26802, 581, 837, 245, 5575, 6788, 2065, 704, 2116, 26, 285, 372, 254, 2653, 84703, 691, 11493, 27376, 8188, 11, 2645, 521, 254, 12967, 4759, 5421, 641, 366, 7524, 13, 1955, 2373, 430, 1562, 276, 245, 3682, 10175, 11, 285, 18960, 1503, 254, 1228, 18318, 280, 254, 3787, 25, 657, 17815, 8868, 12, 12211, 11, 845, 1439, 254, 10171, 280, 254, 71347, 51737, 4239, 344, 1285, 15814, 6479, 11, 285, 657, 778, 8670, 285, 2955, 11, 285, 11704, 366, 1313, 30842, 13, 100001, 48253, 5644, 28561, 285, 8921, 11, 285, 254, 18318, 6899, 3066, 14256, 26, 548, 280, 29526, 21675, 2860, 1027, 1019, 642, 1472, 13, 429, 38372, 5079, 2383, 11, 285, 254, 18318, 7574, 4435, 768, 13, 1955, 778, 279, 245, 4399, 23660, 1439, 254, 10171, 280, 254, 4239, 11, 285, 9989, 5397, 1184, 359, 657, 8400, 254, 5183, 280, 254, 55500, 13, 2366, 22503, 1027, 657, 1019, 11, 5068, 4704, 688, 5144, 2065, 254, 33343, 2302, 581, 331, 254, 12967, 657, 1027, 4704, 254, 3066, 280, 17003, 13520, 473, 331, 1461, 837, 2838, 9748, 2065, 8242, 13, 100001, 5490, 2674, 2726, 1313, 12888, 285, 32545, 1313, 20706, 11, 2645, 657, 2373, 276, 254, 1461, 6171, 285, 3505, 1323, 768, 18872, 245, 5505, 22661, 245, 37962, 63722, 272, 13, 809, 438, 11769, 457, 11041, 30842, 344, 39655, 473, 254, 67815, 280, 7636, 11, 285, 359, 7276, 881, 245, 37905, 280, 11041, 11, 473, 588, 245, 3682, 5545, 80018, 13, 22162, 254, 8868, 2387, 280, 254, 22661, 745, 6626, 254, 1667, 10399, 280, 521, 254, 7636, 26, 895, 1228, 6799, 846, 275, 91893, 837, 14518, 22680, 11, 285, 581, 359, 276, 36077, 11, 2645, 895, 1022, 16000, 11, 2367, 2330, 11, 6899, 704, 6791, 32004, 1090, 67029, 16785, 280, 8242, 13, 93739, 359, 245, 5846, 3682, 29007, 6626, 11, 285, 430, 895, 4414, 1853, 1473, 1606, 778, 21928, 13, 1955, 27376, 581, 372, 254, 38372, 20521, 11, 285, 21675, 2860, 3505, 344, 657, 778, 8670, 285, 47286, 279, 14518, 9444, 11, 285, 473, 704, 17459, 11704, 1234, 3682, 25985, 8667, 13, 100001, 2901, 4898, 23404, 76115, 13176, 285, 7646, 308, 20856, 11, 487, 993, 19002, 5644, 13, 207, 2901, 1385, 317, 704, 4796, 344, 340, 1023, 31253, 285, 3753, 366, 768, 13, 487, 3474, 280, 254, 86933, 12, 1209, 660, 937, 33515, 245, 3662, 4347, 331, 245, 1760, 27250, 11, 285, 359, 438, 7589, 1853, 2602, 473, 2367, 2330, 13, 207, 2901, 40, 543, 614, 1022, 11, 487, 993, 19002, 5644, 13, 207, 2901, 4160, 21675, 2860, 1865, 2112, 285, 366, 857, 8427, 23280, 13, 429, 3072, 975, 1181, 372, 657, 4796, 13, 809 ]

[ 100000, 2647, 11, 285, 565, 2198, 12239, 254, 761, 452, 3237, 377, 11, 254, 324, 1513, 21313, 361, 314, 11, 2246, 853, 254, 1712, 13, 100001, 2901, 6636, 11, 452, 3237, 377, 11, 410, 6851, 359, 317, 395, 487, 248, 276, 1282, 340, 11, 487, 362, 993, 11, 207, 2901, 2795, 327, 359, 0, 429, 20992, 487, 82, 5418, 11, 285, 254, 2653, 487, 82, 1872, 13, 1003, 487, 67, 2018, 1330, 13, 487, 207, 2901, 5661, 11, 5348, 11, 487, 10899, 452, 3237, 377, 11, 49214, 786, 13, 207, 2901, 6748, 395, 614, 0, 2071, 487, 82, 889, 634, 1143, 3246, 1439, 254, 5226, 12, 409, 285, 254, 5178, 12, 409, 13, 304, 1503, 359, 11, 304, 1216, 13, 2489, 5508, 1113, 487, 83, 938, 359, 11, 2489, 5508, 1113, 487, 83, 1006, 359, 13, 2489, 5508, 1113, 487, 83, 4234, 254, 20982, 1218, 11, 657, 614, 4078, 327, 6593, 285, 6593, 13, 15429, 16051, 340, 2373, 437, 1143, 13, 15429, 16051, 340, 1503, 324, 1513, 21313, 361, 314, 11, 5348, 13, 23028, 324, 1513, 21313, 361, 314, 0, 487, 1063, 3061, 245, 1860, 5610, 2302, 285, 4133, 1062, 60161, 326, 11, 837, 245, 5025, 33251, 768, 327, 245, 3667, 13, 207, 2901, 18420, 245, 2683, 11, 452, 3237, 377, 0, 487, 7899, 7421, 13, 207, 2901, 3647, 1653, 2367, 8450, 1132, 0, 304, 487, 76, 1872, 276, 330, 430, 520, 9960, 11, 285, 304, 487, 313, 2149, 254, 22967, 22540, 13, 487, 207, 2901, 3233, 11, 642, 0, 487, 993, 452, 3237, 377, 13, 207, 2901, 50, 1513, 21313, 361, 314, 15561, 13, 487, 685, 254, 4399, 280, 2653, 1090, 2074, 3662, 7524, 657, 845, 842, 13, 452, 3237, 377, 5426, 768, 1062, 67332, 327, 245, 1477, 2726, 254, 1143, 657, 661, 1865, 26, 937, 362, 1906, 7880, 276, 254, 1329, 2302, 473, 254, 19547, 5941, 280, 254, 4939, 1944, 14680, 296, 11, 1224, 254, 7488, 84215, 45021, 5135, 254, 10999, 267, 660, 2877, 13, 100001, 5490, 37583, 35503, 285, 26380, 881, 254, 16342, 13, 8075, 521, 254, 41519, 280, 9974, 1323, 254, 18318, 280, 364, 694, 256, 745, 438, 245, 3438, 12114, 13, 27024, 207, 17, 5048, 54517, 9296, 5372, 5048, 26943, 8012, 2729, 452, 3237, 377, 6937, 5397, 11, 366, 586, 1917, 285, 10225, 23773, 4312, 11, 2752, 1244, 586, 4054, 372, 1136, 372, 586, 5144, 13, 21675, 2860, 285, 7421, 778, 2074, 1957, 276, 359, 276, 2240, 581, 366, 857, 26, 548, 362, 4759, 642, 4172, 276, 463, 688, 2215, 280, 44885, 11, 285, 565, 657, 7276, 4435, 11, 362, 744, 1947, 285, 3825, 327, 768, 13, 100001, 5045, 245, 766, 362, 4832, 768, 276, 254, 63330, 280, 254, 9745, 307, 25871, 344, 657, 661, 11921, 1323, 26, 548, 657, 778, 1132, 3572, 473, 254, 17188, 13, 100001, 2901, 4898, 359, 317, 0, 487, 362, 7899, 13, 207, 2901, 2960, 317, 245, 1143, 1224, 4650, 11, 5348, 13, 4201, 395, 4446, 359, 207, 891, 636, 11, 636, 2302, 855, 745, 13, 487, 1063, 11977, 8868, 285, 12450, 5135, 254, 93802, 13, 429, 298, 1795, 280, 768, 2373, 276, 704, 70254, 11, 6751, 285, 34637, 1236, 279, 254, 5559, 2653, 3207, 13, 100001, 38, 3237, 377, 4733, 581, 285, 1224, 2726, 254, 63330, 11, 285, 430, 3973, 362, 2424, 276, 768, 13, 207, 2901, 4898, 0, 1003, 481, 752, 1224, 1285, 13, 324, 1513, 21313, 361, 314, 2674, 437, 1143, 2561, 25, 304, 2674, 437, 1143, 11, 25103, 473, 2489, 5508, 13, 487, 1063, 5426, 254, 1143, 11, 285, 1893, 857, 254, 38501, 11834, 32545, 1224, 881, 254, 22569, 13, 809, 438, 441, 3915, 11, 327, 254, 428, 2277, 438, 430, 437, 1420, 889, 742, 20378, 5144, 4399, 285, 786, 245, 16591, 3246, 13, 2071, 438, 3268, 2354, 430, 254, 5736, 25, 359, 438, 279, 1714, 254, 3853, 280, 634, 280, 254, 1313, 1760, 25188, 344, 11311, 1215, 1224, 473, 254, 17188, 276, 5200, 254, 93704, 31369, 285, 273, 3457, 5897, 13, 452, 3237, 377, 4540, 276, 254, 1329, 11, 69804, 691, 410, 2246, 11, 285, 7858, 8153, 2726, 366, 586, 5144, 279, 254, 26975, 84215, 5545, 13, 1063, 4759, 11246, 20394, 276, 2213, 254, 2354, 11, 285, 77992, 276, 3177, 11, 5024, 1236, 12497, 1379, 279, 245, 3734, 280, 5654, 13, 100001, 549, 6159, 2074, 19369, 657, 54146, 769, 4054, 11, 657, 39102, 11117, 769, 5144, 13, 100001, 549, 16754, 285, 18134, 418, 837, 1712, 18797, 521, 10922, 280, 12322, 13, 100001, 2395, 5545, 285, 7434, 317, 12969, 285, 5559, 25, 558, 5538, 327, 5144, 0, 1308, 1132, 395, 4796, 16324, 3441, 24011, 359, 13, 487, 338, 1656, 572, 2373, 881, 586, 3545, 11, 285, 7421, 28160, 254, 53353, 279, 254, 16342, 2215, 359, 2367, 473, 11854, 13, 100001, 65290, 1673, 9004, 26, 372, 6159, 372, 4349, 26, 1866, 31204, 272, 11, 2647, 16306, 26, 47286, 279, 9444, 11, 1866, 497, 11595, 13, 100001, 35, 3371, 82, 331, 6989, 3114, 11, 14751, 274, 9859, 317, 245, 11072, 26, 14751, 245, 37962, 317, 245, 32836, 280, 3207, 13, 100001, 3139, 42712, 11, 558, 4770, 0, 2461, 245, 8810, 276, 2984, 0, 1003, 889, 4796, 276, 5770, 245, 8700, 11, 558, 61808, 12, 39474, 0, 3410, 3073, 889, 1401, 691, 18507, 276, 7421, 487, 82, 2764, 245, 2066, 344, 661, 803, 66623, 857, 473, 254, 2780, 754, 362, 10117, 344, 586, 5738, 438, 1872, 276, 8286, 452, 3237, 377, 372, 245, 7053, 25, 254, 2066, 280, 3427, 13, 809, 1216, 441, 5192, 276, 857, 344, 586, 5738, 1667, 839, 463, 2215, 280, 359, 11, 548, 362, 8548, 452, 3237, 377, 661, 13, 13788, 946, 661, 452, 3237, 377, 5982, 3177, 279, 521, 586, 25862, 32802, 30, 207, 2901, 3647, 1653, 1136, 11, 487, 2215, 7421, 13, 100001, 2901, 2450, 4716, 4770, 1464, 1747, 13, 3688, 1653, 60105, 276, 1682, 856, 38501, 3390, 28096, 837, 11, 565, 745, 17630, 487, 83, 642, 8700, 11, 304, 487, 647, 60824, 207, 891, 58116, 372, 362, 1027, 5770, 450, 291, 5540, 13, 7384, 11, 362, 2115, 487, 83, 25, 441, 7421, 42724, 49675, 327, 634, 13, 487, 1955, 38950, 2726, 279, 254, 4426, 26216, 307, 25871, 327, 245, 1234, 766, 11, 410, 558, 359, 4759, 276, 254, 13400, 5144, 280, 21675, 2860, 285, 7421, 13, 429, 307, 25871, 4540, 67089, 11, 285, 372, 657, 2674, 331, 359, 5846, 2954, 285, 2149, 16814, 467, 266, 12, 3927, 13, 2803, 1562, 254, 9539, 2330, 10318, 17203, 366, 254, 1022, 14518, 280, 4421, 13, 100001, 38, 3237, 377, 661, 3707, 642, 11264, 280, 94920, 11, 548, 1132, 362, 4133, 581, 285, 41639, 13, 100001, 2901, 16315, 317, 3345, 11, 487, 362, 22112, 11, 372, 565, 6617, 438, 1874, 344, 1667, 855, 43316, 857, 285, 8079, 331, 857, 13, 207, 2901, 50, 1513, 21313, 361, 314, 543, 4152, 1285, 25, 304, 543, 4152, 1285, 11, 285, 254, 27046, 7335, 2115, 487, 83, 1019, 525, 13, 487, 207, 2901, 1380, 1023, 330, 7684, 276, 1019, 254, 5071, 11, 487, 993, 21675, 2860, 11, 207, 2901, 2381, 395, 543, 4152, 1285, 25, 395, 418, 1653, 13400, 276, 614, 688, 3572, 430, 1828, 13, 487, 207, 2901, 2054, 418, 441, 13430, 276, 330, 7684, 280, 254, 27046, 7335, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 1385, 3535, 340, 581, 13, 30287, 22866, 38501, 11834, 4152, 366, 324, 1513, 21313, 361, 314, 13, 2489, 5508, 285, 36978, 2012, 418, 786, 13, 1955, 481, 1019, 245, 1234, 1143, 13, 27617, 285, 12434, 366, 11449, 280, 254, 307, 25871, 13, 809, 438, 441, 1266, 691, 853, 245, 8670, 668, 487, 82, 5484, 1132, 11, 285, 430, 895, 3252, 745, 778, 5505, 7372, 31378, 280, 6989, 8665, 26, 254, 2354, 7279, 279, 245, 7204, 331, 254, 750, 2387, 13, 21675, 2860, 285, 7421, 2659, 331, 634, 280, 254, 54222, 11, 28459, 704, 30844, 13, 452, 3237, 377, 43161, 1215, 285, 10726, 356, 11232, 279, 254, 5545, 13, 100001, 2901, 1380, 1534, 1529, 245, 1585, 3427, 11, 487, 993, 21675, 2860, 13, 207, 2901, 7425, 340, 21416, 11, 324, 1513, 21313, 361, 314, 30, 1003, 463, 1079, 1585, 276, 4127, 11, 548, 395, 543, 18075, 340, 856, 395, 481, 13, 487, 2803, 254, 1734, 21416, 245, 5575, 844, 2156, 438, 78293, 279, 452, 3237, 377, 487, 82, 14211, 3545, 11, 285, 657, 4759, 276, 381, 50987, 3572, 853, 2647, 473, 586, 10212, 88758, 3059, 13, 1494, 245, 2780, 362, 1085, 17717, 881, 586, 1712, 452, 3237, 377, 12, 39665, 13, 100001, 2901, 1380, 418, 1464, 979, 874, 11, 5348, 1464, 979, 874, 395, 418, 11, 17353, 11, 487, 362, 993, 13, 207, 2901, 2640, 317, 359, 657, 47623, 30, 10351, 657, 5538, 82013, 1218, 30, 487, 3848, 16777, 29897, 1215, 636, 1439, 586, 11453, 10421, 12466, 11, 284, 20594, 586, 9273, 1568, 12077, 13, 100001, 2901, 3233, 11, 395, 463, 2149, 642, 8700, 11, 487, 993, 21675, 2860, 13, 207, 2901, 1380, 463, 889, 2149, 437, 487, 207, 891, 362, 4586, 581, 245, 86534, 280, 518, 2808, 281, 207, 891, 207, 2901, 384, 2354, 11, 565, 254, 2354, 1285, 317, 4357, 276, 7369, 13, 487, 207, 2901, 56, 390, 11, 320, 390, 11, 5538, 2354, 11, 487, 993, 452, 3237, 377, 13, 207, 2901, 10167, 796, 359, 11, 7369, 359, 11, 1477, 395, 481, 0, 1474, 856, 317, 359, 657, 487, 313, 2149, 11, 17353, 30, 2128, 359, 43573, 510, 30, 2128, 359, 33155, 30, 487, 21675, 2860, 11564, 842, 245, 10251, 280, 245, 86534, 285, 20475, 359, 276, 857, 331, 895, 14568, 12, 10298, 5540, 13, 452, 3237, 377, 47952, 271, 430, 254, 14568, 285, 586, 3059, 5464, 25, 245, 735, 13473, 280, 32578, 2373, 855, 359, 11, 285, 245, 13357, 280, 586, 1712, 61919, 13, 207, 2901, 50, 1513, 21313, 361, 314, 44017, 359, 0, 487, 362, 993, 13, 207, 2901, 4529, 3766, 636, 280, 254, 86933, 12, 14821, 11, 307, 2063, 0, 1955, 352, 4059, 13, 100001, 2450, 32545, 279, 1462, 7636, 11, 285, 362, 7045, 487, 83, 15886, 254, 19327, 842, 586, 4054, 11, 601, 5538, 4054, 13, 487, 20765, 2730, 254, 14568, 11, 362, 3061, 245, 8089, 280, 254, 518, 2808, 281, 285, 49258, 11232, 359, 13, 1063, 36070, 11, 285, 245, 4357, 280, 90565, 18176, 857, 13, 100001, 2901, 56907, 0, 2366, 0, 487, 362, 7858, 43116, 13, 207, 2901, 2054, 1682, 276, 58612, 4922, 324, 1513, 21313, 361, 314, 13, 52948, 285, 38601, 11, 362, 481, 487, 83, 6540, 344, 13, 1063, 1534, 73554, 13, 1474, 324, 1513, 21313, 361, 314, 2845, 487, 83, 2764, 13, 30287, 38501, 11834, 0, 324, 1513, 21313, 361, 314, 643, 15561, 13, 1063, 543, 73554, 13, 1063, 481, 487, 83, 6540, 38501, 11834, 487, 3427, 13, 1063, 543, 73554, 13, 30302, 10212, 324, 1513, 21313, 361, 314, 0, 487, 207, 2901, 40, 487, 76, 11547, 11, 487, 993, 21675, 2860, 26, 207, 2901, 2381, 304, 481, 487, 83, 1345, 340, 11, 304, 487, 76, 10297, 13, 304, 1378, 437, 3427, 744, 536, 340, 1207, 11, 565, 340, 744, 1682, 13, 1474, 5216, 340, 481, 487, 83, 1236, 1682, 11, 441, 2618, 12344, 13, 487, 429, 38501, 11834, 50527, 2910, 704, 518, 2808, 281, 279, 12114, 13, 7421, 2215, 344, 359, 41994, 2367, 2018, 11, 13505, 11, 853, 359, 661, 327, 245, 1207, 1477, 25, 452, 3237, 377, 487, 82, 12746, 661, 1401, 857, 8350, 276, 895, 30477, 1310, 13, 1474, 362, 1216, 441, 2213, 9016, 13, 452, 3237, 377, 12835, 1131, 76740, 282, 473, 1297, 276, 8602, 11, 837, 274, 2162, 401, 5025, 457, 245, 90662, 487, 82, 8653, 13, 9315, 754, 657, 661, 7370, 285, 778, 17714, 276, 1610, 11, 438, 362, 12403, 19561, 344, 657, 661, 642, 8628, 263, 3005, 475, 344, 362, 1027, 4127, 279, 13, 2928, 362, 2674, 285, 2659, 457, 3177, 245, 1860, 57068, 2302, 285, 62713, 13993, 245, 1585, 13, 100001, 2901, 9610, 1285, 0, 487, 7421, 22112, 276, 21675, 2860, 11, 441, 1653, 26380, 25, 362, 1216, 441, 1921, 8601, 25450, 38, 3237, 377, 23959, 6526, 256, 1265, 13, 2901, 1380, 487, 60636, 1973, 495, 1550, 498, 25891, 674, 11, 304, 487, 647, 14524, 13, 1257, 614, 276, 5476, 11, 2195, 13, 21675, 2860, 11, 285, 304, 487, 647, 1282, 340, 754, 304, 481, 487, 83, 2240, 601, 71641, 3817, 1900, 581, 13, 13932, 285, 786, 11, 1246, 372, 1323, 11, 1477, 362, 487, 82, 15374, 13, 487, 207 ]

[ 100000, 13, 100001, 2901, 1898, 344, 254, 1473, 1606, 1006, 441, 254, 3510, 11, 487, 993, 8427, 23280, 13, 100001, 3220, 344, 254, 18448, 280, 254, 13445, 2373, 285, 5426, 768, 276, 254, 51499, 280, 64749, 26, 285, 745, 657, 1503, 704, 3997, 279, 254, 8324, 11, 285, 704, 6244, 438, 245, 30542, 634, 13, 1494, 245, 1477, 657, 10408, 285, 13364, 11, 72259, 327, 245, 8749, 2516, 279, 6942, 285, 1610, 1090, 254, 4421, 1461, 581, 279, 254, 68269, 19829, 280, 254, 5183, 13, 2928, 754, 50762, 5322, 25761, 11, 657, 2674, 285, 2659, 2065, 254, 4239, 366, 254, 40586, 1209, 280, 254, 51499, 280, 64749, 4435, 768, 26, 285, 2302, 69804, 1323, 768, 438, 254, 1308, 63454, 52813, 279, 254, 4281, 11, 372, 359, 51486, 2302, 11, 636, 280, 254, 7702, 1236, 280, 8427, 23280, 11, 881, 254, 5505, 54222, 285, 5575, 67924, 280, 68350, 3926, 246, 285, 5178, 94921, 296, 2008, 13, 100001, 2280, 1132, 8427, 23280, 7276, 13117, 11, 1477, 254, 3072, 13364, 11, 285, 362, 4133, 636, 2481, 254, 4281, 11, 285, 372, 362, 32182, 362, 3505, 3682, 5532, 12, 40543, 24654, 581, 254, 9321, 13, 100001, 2901, 9610, 0, 487, 362, 7899, 13, 207, 2901, 38, 24605, 0, 1955, 418, 15892, 2367, 51561, 13, 338, 3860, 657, 418, 276, 525, 285, 245, 8168, 276, 601, 2997, 13, 12572, 279, 521, 601, 1728, 661, 304, 2011, 768, 11, 2645, 395, 2373, 276, 19798, 1141, 348, 11, 285, 745, 304, 4101, 768, 24302, 279, 254, 3207, 372, 395, 19354, 276, 254, 8680, 280, 254, 15007, 13, 2928, 304, 6626, 1592, 11, 39427, 4429, 279, 14901, 12, 25914, 26, 327, 704, 259, 20044, 18887, 8921, 276, 525, 280, 254, 15441, 13, 429, 15441, 0, 49812, 0, 304, 463, 441, 2618, 40547, 359, 13, 1474, 4399, 279, 254, 14495, 280, 521, 601, 60605, 11012, 254, 5532, 12, 5509, 272, 11, 588, 359, 317, 65601, 276, 13586, 13, 49812, 0, 327, 254, 307, 24605, 13, 2366, 6942, 2786, 304, 463, 1310, 1090, 96893, 410, 36504, 12, 25914, 11, 285, 1228, 2722, 276, 536, 13, 1474, 565, 521, 254, 4770, 22503, 1529, 276, 254, 32711, 660, 11, 359, 543, 330, 245, 20224, 250, 1843, 327, 1462, 779, 418, 49983, 276, 4152, 13, 487, 207, 2901, 35, 897, 285, 51882, 6031, 0, 487, 993, 50762, 13, 207, 2901, 2054, 1534, 441, 614, 276, 254, 32711, 660, 11, 8427, 23280, 13, 2071, 543, 1958, 330, 742, 22503, 11, 2567, 410, 1585, 11, 285, 1236, 245, 1860, 13430, 24965, 1606, 837, 65771, 807, 11, 779, 933, 340, 13, 2803, 2754, 304, 3655, 558, 13, 15062, 304, 2213, 13505, 344, 254, 11312, 280, 437, 4429, 317, 1592, 276, 1865, 13, 100001, 2819, 304, 4796, 359, 438, 521, 855, 11, 285, 1136, 855, 0, 487, 207, 2901, 7390, 487, 83, 330, 558, 37607, 0, 487, 7899, 375, 12082, 246, 13, 207, 2901, 549, 5071, 317, 25288, 11, 285, 1285, 395, 418, 2854, 327, 245, 1492, 410, 984, 430, 2754, 13, 304, 1121, 276, 4704, 691, 786, 340, 521, 13, 15512, 11, 65771, 807, 0, 1257, 285, 8427, 23280, 463, 6346, 520, 8387, 8398, 366, 6536, 1421, 786, 245, 16591, 2602, 2571, 437, 4421, 13, 1474, 340, 7398, 487, 83, 3542, 525, 3270, 786, 359, 13, 487, 207, 2901, 549, 5071, 975, 25801, 1285, 11, 487, 993, 65771, 807, 11, 207, 2901, 2381, 745, 418, 16939, 280, 344, 4559, 344, 304, 536, 441, 4796, 276, 10461, 636, 280, 254, 16342, 13, 15918, 304, 3185, 856, 438, 1323, 525, 11, 304, 1378, 344, 441, 327, 688, 19422, 744, 304, 463, 3443, 254, 16228, 82, 280, 254, 20241, 13, 487, 207, 2901, 549, 16228, 82, 280, 254, 20241, 30, 487, 993, 375, 12082, 246, 13, 207, 2901, 40, 4101, 52334, 1752, 1481, 344, 11, 285, 304, 21517, 856, 362, 1027, 2059, 13, 46824, 487, 83, 340, 2410, 450, 742, 691, 30, 487, 207, 2901, 3647, 45088, 11, 487, 993, 65771, 807, 13, 207, 2901, 1988, 2065, 344, 4559, 304, 438, 1957, 276, 16635, 25, 65771, 807, 452, 789, 21313, 246, 487, 82, 4278, 11, 779, 661, 24712, 3177, 691, 13768, 853, 10889, 11, 285, 2074, 1369, 1090, 6039, 853, 688, 86933, 13, 1474, 8533, 1216, 304, 6650, 26, 285, 304, 438, 4586, 276, 254, 4559, 889, 457, 254, 543, 280, 52334, 1752, 13, 487, 207, 2901, 2280, 457, 254, 2126, 280, 857, 839, 11, 487, 993, 8427, 23280, 13, 207, 2901, 1988, 521, 1462, 779, 1865, 276, 1006, 857, 1865, 276, 2126, 857, 1166, 704, 1377, 8170, 11, 1236, 254, 6159, 33722, 280, 254, 50316, 348, 4383, 13, 809, 438, 430, 3923, 33124, 280, 254, 1492, 31076, 340, 2373, 745, 11, 50762, 11, 344, 395, 2116, 15612, 71, 2713, 11, 285, 1108, 245, 5663, 438, 331, 521, 254, 22503, 344, 5249, 744, 1068, 331, 769, 1872, 11, 4617, 254, 10850, 427, 21313, 322, 1944, 11, 779, 11012, 1132, 12392, 279, 254, 5989, 2877, 13, 2071, 438, 20110, 430, 344, 44749, 11, 285, 304, 438, 72423, 276, 26641, 359, 13, 487, 207, 2901, 60345, 0, 304, 661, 2997, 889, 327, 4367, 11, 487, 993, 65771, 807, 13, 207, 2901, 38157, 0, 304, 543, 441, 3753, 280, 344, 8398, 13, 487, 1063, 7276, 13117, 26, 548, 375, 12082, 246, 285, 50762, 778, 558, 14160, 327, 4921, 344, 430, 1562, 8427, 23280, 993, 25, 207, 2901, 40, 543, 2410, 340, 2527, 327, 520, 6942, 26, 327, 304, 4749, 441, 254, 20040, 11, 285, 304, 26619, 441, 254, 25851, 280, 10889, 11, 70686, 285, 68714, 372, 304, 24712, 768, 13, 487, 28992, 326, 937, 362, 3542, 280, 254, 46045, 4559, 1090, 254, 14499, 11, 285, 254, 4426, 528, 918, 430, 69797, 358, 11, 285, 254, 1228, 10502, 34042, 11, 49925, 41519, 285, 1853, 11, 276, 19798, 1141, 348, 331, 1308, 63454, 13, 207, 2901, 27428, 2507, 285, 16919, 11, 285, 331, 881, 245, 18097, 11, 395, 19354, 473, 254, 6350, 17365, 11, 487, 362, 993, 13, 207, 2901, 2280, 645, 0, 279, 254, 16342, 280, 364, 694, 256, 601, 3655, 8728, 26, 327, 279, 344, 22569, 254, 37134, 16103, 4759, 276, 2554, 13338, 285, 691, 12906, 276, 1068, 2065, 13, 4754, 304, 3505, 17040, 11, 6644, 98252, 769, 11549, 11, 285, 24671, 4078, 450, 11, 285, 744, 463, 5079, 450, 457, 11, 565, 52334, 1752, 661, 441, 33710, 768, 13, 100001, 2901, 3567, 586, 2525, 657, 7276, 1062, 13, 207, 2901, 2901, 13097, 254, 26318, 280, 10889, 418, 56581, 276, 586, 543, 11, 56988, 304, 2215, 13, 207, 2901, 2901, 5490, 975, 5043, 586, 3277, 2618, 0, 56988, 207, 2901, 4711, 1492, 280, 2156, 395, 19354, 11, 285, 937, 2373, 254, 1492, 1673, 23608, 11, 285, 1592, 395, 19354, 331, 11, 285, 33487, 296, 285, 26500, 789, 21313, 395, 17033, 26, 285, 331, 254, 4443, 1492, 395, 2373, 276, 12514, 60904, 2330, 254, 8602, 280, 17308, 3403, 13, 1308, 745, 1743, 280, 413, 4065, 249, 71219, 254, 327, 6353, 366, 7276, 22503, 280, 49851, 1684, 285, 5297, 308, 779, 661, 33997, 581, 254, 8144, 13, 1474, 55745, 285, 48648, 19133, 4366, 581, 254, 8680, 285, 24517, 754, 395, 2373, 11, 24302, 636, 344, 254, 5047, 280, 254, 20241, 438, 2065, 768, 13, 9315, 5542, 4439, 11, 5157, 280, 413, 4065, 249, 11, 661, 254, 2997, 276, 45314, 450, 26, 285, 52334, 1752, 38539, 857, 10810, 586, 22503, 285, 1865, 4435, 11, 565, 657, 30725, 11, 754, 254, 25260, 16103, 661, 5079, 13, 100001, 2901, 207, 2901, 2901, 3567, 19798, 1141, 348, 254, 1063, 348, 280, 2128, 858, 332, 543, 463, 933, 280, 340, 11, 56988, 362, 993, 13, 100001, 2901, 11775, 395, 17033, 855, 17308, 3403, 11, 8541, 254, 32758, 280, 364, 694, 256, 279, 5353, 1323, 450, 26, 285, 937, 395, 31611, 245, 1477, 13, 1474, 3444, 52334, 1752, 23548, 11, 5366, 25, 207, 2901, 2901, 11856, 0, 2571, 4302, 281, 41821, 349, 317, 88124, 13, 304, 5663, 344, 359, 543, 3467, 31076, 395, 1865, 276, 895, 10731, 13, 56988, 2086, 395, 13259, 1310, 1323, 2653, 661, 5079, 285, 2674, 331, 366, 521, 254, 4583, 344, 769, 11549, 1027, 29751, 855, 254, 39584, 280, 68350, 3926, 246, 13, 487, 8427, 23280, 24882, 285, 34456, 11, 285, 9860, 586, 3545, 69804, 26380, 362, 19544, 25, 17535, 3460, 254, 21410, 473, 21638, 378, 276, 427, 734, 72, 685, 254, 5575, 5633, 280, 68350, 3926, 246, 0, 33337, 19112, 254, 11387, 745, 13, 685, 254, 5409, 473, 254, 15441, 429, 3682, 81052, 32407, 11, 1308, 254, 14544, 33257, 418, 44876, 280, 27678, 378, 285, 70720, 348, 246, 685, 254, 5575, 5633, 280, 68350, 3926, 246, 11, 685, 254, 5409, 473, 254, 15441, 0, 207, 2901, 21211, 418, 1462, 5633, 279, 254, 11688, 280, 601, 1245, 26, 548, 657, 778, 4426, 937, 11, 14518, 70787, 279, 254, 91741, 1323, 450, 13, 1308, 855, 254, 5505, 3114, 11, 24486, 6513, 405, 247, 50913, 254, 11387, 285, 254, 10252, 11, 395, 55601, 769, 48648, 1184, 245, 1492, 285, 245, 2653, 11, 2645, 395, 2373, 430, 254, 17406, 1225, 276, 254, 6982, 9321, 430, 1562, 13, 100001, 2901, 4631, 304, 2215, 279, 601, 2997, 344, 395, 12419, 3345, 276, 254, 15441, 26, 327, 5505, 438, 254, 2354, 279, 254, 16342, 11, 285, 5532, 12, 40543, 51176, 7899, 331, 895, 36027, 13, 49812, 327, 254, 259, 20044, 280, 254, 307, 24605, 0, 12887, 441, 254, 10850, 2410, 525, 276, 63049, 280, 768, 30, 1308, 1132, 304, 2977, 7654, 768, 13, 487, 207, 2901, 1988, 601, 697, 304, 35871, 271, 768, 441, 11, 487, 993, 65771, 807, 26, 207, 2901, 1467, 395, 2373, 937, 430, 1562, 2065, 8680, 279, 18727, 13, 2071, 430, 19798, 1141, 348, 2762, 254, 1969, 19093, 280, 8102, 5663, 366, 768, 26, 285, 742, 280, 254, 15007, 661, 1957, 842, 11, 12489, 276, 10778, 1224, 254, 9321, 410, 276, 5934, 254, 2367, 14450, 26, 285, 1313, 280, 254, 6611, 9896, 778, 547, 95457, 13, 1474, 254, 5297, 308, 4383, 11, 1435, 1132, 11516, 276, 254, 63330, 11, 4540, 430, 17690, 11, 285, 657, 778, 25984, 279, 22553, 26, 285, 657, 14032, 754, 657, 4133, 331, 450, 11, 327, 657, 778, 245, 1228, 10053, 1592, 13, 100001, 2901, 2395, 52334, 1752, 41639, 285, 7899, 366, 245, 1228, 5136, 25, 207, 2901, 2901, 4388, 1865, 0, 3563, 254, 6350, 17365, 304, 1282, 340, 0, 56988, 1308, 8963, 254, 37134, 16103, 344, 661, 11704, 1062, 430, 254, 1562, 2373, 581, 837, 245, 14518, 26760, 11, 37560, 521, 2302, 1323, 359, 13, 417, 3005, 29493, 304, 4101, 11, 285, 4165, 44055, 31244, 11, 285, 245, 49656, 372, 280, 28319, 2367, 18887, 25, 359, 438, 837, 254, 6393, 280, 742, 15503, 8680, 279, 254, 17514, 24563, 1234, 4084, 13, 39428, 44914, 778, 10237, 26, 548, 304, 1006, 441, 3203, 704, 42338, 744, 1592, 24626, 11, 327, 254, 20241, 4067, 642, 4172, 688, 17094, 548, 5663, 13, 7741, 744, 40355, 768, 13, 100001, 2901, 1898, 1131, 5225, 657, 2373, 344, 438, 10237, 581, 11, 285, 937, 657, 5079, 855, 254, 2354, 276, 1462, 344, 778, 56106, 26, 285, 521, 254, 82593, 778, 8148, 366, 245, 40549, 280, 11845, 285, 44893, 64996, 11, 4617, 254, 21209, 55484, 276, 254, 57718, 13, 1926, 814, 1568, 395, 19354, 3264, 769, 72744, 48648, 11, 8541, 768, 837, 8242, 11, 2645, 395, 2373, 276, 254, 14450, 13, 1308, 937, 276, 1319, 280, 254, 1228, 15007, 344, 10471, 52334, 1752, 2143, 634, 280, 254, 9497, 21313, 13402, 444, 11, 285, 657, 72883, 254, 86195, 344, 778, 33143, 11, 285, 38539, 768, 1957, 12159, 5663, 285, 330, 2094, 13, 100001, 2901, 36, 248, 344, 4426, 1492, 9765, 5249, 280, 254, 9470, 778, 2116, 276, 3890, 450, 26, 521, 778, 45257, 11, 410, 778, 15892, 8868, 279, 254, 3655, 276, 1275, 704, 1377, 19369, 2065, 4414, 13, 47263, 285, 7289, 304, 2215, 359, 344, 254, 11115, 280, 364, 694, 256, 1023, 330, 855, 54276, 457, 1108, 259, 402, 349, 82, 280, 5663, 285, 16342, 13, 100001, 3220, 895, 1377, 15872, 438, 359, 11312, 271, 0, 487, 207, 2901, 88829, 6031, 11, 487, 993, 8427, 23280, 13, 207, 2901, 774, 344, 5064, 304, 4133, 331, 52334, 1752, 285, 2215, 946, 1228, 285, 12906, 245, 5157, 362, 1667, 463, 3261, 279, 254, 6313, 280, 586, 543, 11, 661, 362, 3443, 254, 26500, 276, 3177, 13, 3688, 327, 66003, 1217, 364, 694, 256, 5663, 857, 13, 1474, 88982, 317, 586, 5786 ]