Datasets:
smcleish
/
retrofitting-llama-fineweb-edu-tokenized

Dataset card Data Studio Files
xet
Community
2
Search is not available for this dataset
input_ids
listlengths
1.03k
1.03k
attention_mask
listlengths
1.03k
1.03k
[ 5938, 5258, 81624, 60299, 323, 330, 64475, 12, 6798, 11935, 1, 29746, 279, 9919, 315, 5034, 68, 323, 5896, 386, 4692, 1729, 311, 44798, 10633, 12, 6798, 12, 21494, 287, 38737, 13, 763, 5034, 68, 11, 304, 220, 4468, 23, 11, 433, 574, 6773, 311, 6136, 220, 1049, 6520, 315, 18067, 10194, 4363, 320, 508, 11877, 12, 966, 11877, 8, 304, 2009, 84, 936, 7304, 514, 95514, 59822, 6181, 369, 4027, 6798, 323, 311, 958, 35247, 10633, 12, 6798, 9606, 449, 9974, 3691, 31665, 304, 26467, 24073, 369, 5258, 81624, 3691, 60299, 13, 578, 2447, 11, 902, 574, 20816, 735, 5154, 11, 931, 320, 2078, 3, 14417, 11, 931, 8, 927, 4848, 1667, 11, 1047, 264, 6373, 3777, 34356, 449, 264, 586, 6873, 18629, 323, 264, 2128, 315, 2254, 3109, 436, 14381, 311, 2585, 60299, 323, 311, 4379, 279, 3158, 320, 34655, 220, 3753, 22, 570, 11359, 10539, 7224, 1051, 13205, 719, 539, 11953, 704, 1606, 315, 6996, 315, 11006, 13, 3296, 220, 3753, 23, 279, 2447, 1047, 59477, 311, 14816, 11, 323, 279, 4113, 6136, 826, 315, 1063, 220, 1041, 6520, 315, 445, 13, 358, 20732, 1030, 59822, 6181, 11, 6515, 28139, 44521, 292, 360, 630, 285, 11, 323, 469, 1791, 5893, 418, 355, 91799, 13, 323, 220, 20, 6520, 315, 330, 351, 299, 1348, 4720, 6136, 826, 1, 315, 10633, 12, 6798, 9606, 449, 3691, 31665, 1047, 1027, 4018, 1523, 477, 7108, 6724, 320, 34655, 220, 3753, 22, 4390, 644, 13000, 84, 36409, 11, 37987, 689, 682, 3205, 6347, 11, 264, 51645, 10068, 311, 10913, 5270, 11, 706, 1027, 279, 1925, 8518, 5554, 85, 53915, 9606, 2533, 279, 5209, 12, 4468, 15, 82, 11, 449, 927, 220, 16, 11, 931, 6520, 39441, 389, 220, 717, 30100, 439, 315, 220, 3753, 19, 320, 63040, 220, 3753, 19, 570, 37987, 689, 574, 1176, 39441, 389, 5370, 30100, 304, 220, 20, 12, 605, 2902, 64, 10215, 2663, 8949, 30909, 18317, 811, 320, 43, 4695, 570, 1666, 279, 4754, 19035, 315, 88134, 311, 19624, 323, 5426, 4500, 6244, 30576, 11, 8294, 11, 7637, 36185, 25563, 20585, 18317, 811, 320, 2843, 47, 8, 1051, 9749, 389, 279, 30100, 315, 23458, 762, 537, 11, 9939, 442, 5281, 11, 323, 362, 818, 488, 372, 320, 83929, 869, 21148, 323, 34221, 220, 3753, 19, 570, 578, 11295, 14800, 315, 11812, 21051, 11, 7170, 449, 6136, 826, 315, 709, 311, 220, 1049, 6520, 824, 1060, 389, 3254, 6732, 11, 6197, 311, 31069, 18651, 369, 4363, 323, 92624, 24087, 4315, 4363, 23840, 11, 5423, 389, 23458, 762, 537, 11, 430, 1521, 5554, 85, 53915, 7640, 1053, 1304, 4363, 36087, 369, 48114, 5258, 81624, 323, 8518, 31665, 13, 1115, 29746, 279, 13000, 84, 36409, 20585, 5475, 311, 5813, 11, 389, 23458, 762, 537, 304, 220, 3753, 19, 11, 30816, 31794, 7982, 264, 22622, 2134, 315, 5258, 81624, 323, 8515, 31665, 2949, 88134, 6136, 811, 315, 37987, 689, 682, 3205, 6347, 320, 83929, 869, 21148, 323, 34221, 220, 3753, 19, 4390, 34, 3787, 9749, 1990, 1584, 6136, 826, 315, 37987, 689, 682, 3205, 6347, 5343, 220, 23, 10437, 39834, 27981, 1590, 11, 220, 21, 45324, 2979, 27981, 1590, 11, 220, 1032, 264, 1607, 27981, 1590, 505, 4349, 511, 36259, 1560, 3395, 16985, 11, 1630, 32329, 437, 7942, 30811, 1468, 333, 337, 2411, 11, 323, 362, 1092, 36259, 9155, 7787, 41196, 17528, 11, 220, 717, 379, 309, 27981, 1590, 11, 597, 2979, 320, 47, 13154, 21747, 599, 86231, 705, 323, 19622, 449, 11033, 320, 7098, 370, 3074, 323, 4997, 82979, 705, 62888, 11, 323, 3786, 31936, 13, 763, 5369, 311, 1521, 19622, 11, 5258, 81624, 36536, 617, 1101, 1027, 9749, 1234, 37987, 689, 682, 3205, 6347, 555, 2225, 2254, 4363, 23840, 323, 13952, 7487, 27083, 320, 83929, 869, 21148, 323, 34221, 220, 3753, 19, 11, 220, 23, 4390, 18433, 356, 13, 682, 3205, 6347, 1253, 387, 35906, 18855, 555, 3789, 5868, 320, 3438, 21148, 308, 355, 912, 87, 9334, 8, 304, 1063, 4787, 11, 323, 1587, 539, 2804, 1664, 389, 1063, 6732, 11, 1023, 9606, 5131, 1694, 6818, 304, 13000, 84, 36409, 2997, 35190, 689, 37138, 3893, 11, 350, 13, 80933, 598, 276, 2192, 11, 469, 1791, 5893, 418, 355, 5367, 75, 7717, 64, 11, 4593, 34354, 689, 18563, 12989, 36882, 11, 2057, 6863, 264, 5523, 285, 11, 323, 79613, 3833, 64, 54097, 460, 13, 4452, 11, 279, 293, 7341, 315, 2225, 350, 13, 37138, 3893, 323, 469, 13, 5367, 75, 7717, 64, 527, 11091, 15436, 311, 36952, 320, 83929, 869, 21148, 323, 34221, 220, 3753, 19, 11, 220, 605, 26, 7553, 33987, 38947, 220, 3753, 15, 570, 578, 9606, 9204, 12474, 4754, 439, 459, 10778, 9606, 311, 356, 13, 682, 3205, 6347, 1253, 387, 328, 13, 18563, 12989, 36882, 11, 323, 422, 15042, 449, 29198, 9606, 311, 8108, 44885, 5435, 11, 958, 38984, 10964, 1288, 387, 3284, 2391, 279, 4216, 1667, 315, 12984, 320, 63040, 220, 3753, 21, 65, 4390, 35862, 1023, 37538, 21896, 389, 5021, 9606, 11, 2225, 39418, 323, 39678, 11, 617, 1027, 11953, 704, 304, 13000, 84, 36409, 304, 264, 2778, 369, 9606, 5423, 14791, 369, 10633, 7732, 11, 45888, 11, 477, 64188, 6798, 11, 719, 7000, 315, 420, 3495, 574, 8599, 449, 945, 299, 1348, 4720, 13, 8483, 389, 945, 299, 1348, 4720, 706, 10968, 4661, 24121, 389, 330, 42371, 31665, 902, 5101, 311, 617, 2294, 4754, 11, 8104, 11033, 323, 62888, 11, 323, 11000, 597, 2979, 323, 62888, 1, 320, 83929, 869, 21148, 323, 34221, 220, 3753, 19, 11, 220, 806, 4390, 644, 86196, 11, 1063, 220, 1313, 11, 25326, 6520, 315, 35148, 51645, 36658, 617, 1027, 39441, 439, 315, 5209, 12, 3753, 21, 13, 5046, 1521, 11, 220, 975, 11, 22207, 6520, 527, 4410, 7904, 44316, 92832, 320, 13521, 34354, 689, 18563, 12989, 36882, 705, 220, 18, 11, 24824, 6520, 527, 37987, 689, 682, 3205, 6347, 11, 220, 17, 11, 26087, 6520, 527, 19973, 43008, 320, 62804, 78, 59822, 87227, 46175, 87778, 705, 220, 25001, 6520, 527, 11583, 288, 33906, 121367, 3893, 11, 220, 20596, 6520, 527, 469, 1791, 5893, 418, 355, 5367, 75, 7717, 64, 11, 323, 220, 2366, 6520, 527, 279, 39678, 9606, 4060, 437, 20508, 372, 18563, 12989, 5565, 320, 1846, 1905, 220, 3753, 21, 570 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18185, 1778, 24779, 5554, 85, 53915, 5820, 11, 304, 3878, 315, 2225, 51645, 323, 281, 1572, 11, 433, 374, 16168, 96157, 44547, 11, 323, 11, 439, 279, 3331, 10790, 315, 279, 86196, 42609, 9849, 706, 11224, 25, 330, 644, 10663, 278, 1534, 945, 3714, 321, 85, 93828, 374, 2536, 60928, 304, 86196, 520, 3118, 1, 320, 86315, 84782, 220, 3753, 23, 65, 11, 4443, 10758, 4390, 51, 95024, 596, 5554, 85, 53915, 7640, 527, 810, 17226, 11, 1063, 1694, 12207, 945, 3714, 321, 85, 53915, 13, 4497, 32227, 5554, 85, 53915, 7640, 2997, 264, 3682, 312, 1348, 20762, 18629, 22088, 389, 279, 13218, 315, 469, 4381, 304, 279, 5209, 12, 5162, 15, 82, 13, 6193, 220, 1272, 6520, 315, 9709, 39418, 9606, 2737, 2057, 6863, 264, 5523, 285, 11, 79613, 3833, 64, 54097, 460, 11, 37987, 689, 682, 3205, 6347, 11, 480, 7430, 4618, 64, 22514, 64, 11, 4701, 589, 285, 22514, 64, 11, 17929, 355, 1841, 581, 71435, 11, 323, 469, 1791, 5893, 418, 355, 91799, 2637, 439, 1664, 439, 14791, 39678, 9606, 11, 1778, 439, 11301, 19253, 2259, 3312, 50289, 333, 39260, 11, 35190, 689, 8415, 28279, 11, 323, 43048, 708, 87, 28433, 22076, 1137, 11, 1051, 39441, 389, 279, 469, 4381, 20585, 18945, 13, 20756, 315, 10533, 5708, 505, 6957, 279, 1917, 1051, 1101, 11953, 704, 389, 279, 8961, 13, 81908, 5789, 1051, 28520, 39441, 11, 449, 220, 6849, 6520, 7636, 1694, 39441, 304, 220, 4468, 24, 320, 1016, 13005, 220, 3753, 19, 68, 11, 220, 18, 4390, 791, 9606, 1455, 17037, 39441, 304, 220, 3753, 19, 1051, 469, 1791, 5893, 418, 355, 4371, 625, 64, 11, 469, 13, 2024, 5411, 1540, 285, 11, 2057, 6863, 264, 5523, 285, 11, 323, 17929, 355, 1841, 581, 71435, 13, 36922, 2785, 463, 21852, 369, 1521, 9606, 323, 1023, 45888, 9606, 11, 1778, 439, 11098, 676, 355, 326, 355, 13145, 3074, 11, 74319, 311, 220, 2813, 11, 21824, 10533, 19342, 320, 2983, 11, 20465, 315, 902, 1051, 39441, 8, 304, 220, 4468, 24, 320, 4940, 1785, 220, 3753, 20, 11, 220, 1041, 12, 4278, 570, 432, 4746, 20762, 9731, 11, 439, 279, 2678, 5789, 315, 9861, 39678, 13952, 389, 469, 4381, 527, 51763, 11, 449, 279, 2254, 2606, 330, 16082, 12092, 279, 842, 315, 1202, 27331, 2324, 439, 279, 2254, 51645, 45888, 8312, 374, 4018, 704, 323, 4250, 387, 12860, 505, 279, 20585, 18945, 369, 520, 3325, 2500, 220, 605, 1667, 1, 320, 4940, 1785, 220, 3753, 20, 11, 220, 1484, 570, 578, 1193, 9615, 945, 299, 1348, 4720, 13189, 315, 279, 469, 4381, 5554, 85, 53915, 7640, 11, 264, 9637, 2234, 7911, 1887, 315, 11093, 5021, 12, 21494, 287, 323, 13643, 36536, 11, 574, 86329, 704, 1606, 330, 275, 706, 19407, 7319, 40850, 369, 17516, 315, 7120, 86581, 4363, 11, 323, 374, 8617, 9539, 539, 304, 279, 5426, 2802, 1, 320, 4940, 1785, 220, 3753, 20, 11, 220, 1041, 4390, 32, 2132, 323, 14691, 945, 299, 1348, 4720, 5820, 706, 1027, 279, 8371, 4720, 27571, 47516, 11, 902, 6137, 304, 279, 220, 5162, 15, 82, 311, 8356, 10533, 19342, 369, 8141, 311, 2678, 4346, 20957, 369, 48114, 304, 2678, 7732, 66876, 477, 439, 10160, 9137, 82, 2212, 872, 29149, 85274, 1392, 320, 4151, 12735, 220, 20, 389, 51491, 276, 945, 299, 1348, 4720, 570, 578, 3682, 9606, 4332, 5343, 11301, 19253, 2259, 3312, 50289, 333, 39260, 11, 480, 7430, 4618, 64, 22514, 64, 11, 79613, 3833, 64, 54097, 460, 11, 469, 1791, 5893, 418, 355, 91799, 2637, 4701, 589, 285, 91799, 2637, 323, 480, 28226, 2259, 59588, 61148, 320, 1016, 13005, 220, 3753, 19, 68, 11, 220, 18, 4390, 2409, 279, 21967, 315, 279, 27571, 93285, 520, 386, 4306, 39342, 389, 279, 1925, 13218, 315, 51491, 266, 391, 84, 304, 220, 4468, 23, 11, 279, 18629, 574, 17626, 311, 2997, 279, 54743, 323, 8141, 315, 264, 7029, 2134, 315, 45888, 12690, 11, 330, 66, 44547, 1, 9606, 11, 323, 9606, 8405, 3691, 11, 16088, 11, 323, 79760, 367, 13, 578, 24779, 2802, 6982, 555, 279, 1274, 369, 48114, 389, 2225, 19624, 323, 6424, 85274, 1392, 6197, 311, 264, 330, 65, 9563, 18238, 315, 13952, 9070, 990, 1, 311, 279, 1486, 430, 11, 304, 220, 4468, 23, 11, 279, 56226, 1436, 539, 37586, 449, 279, 7631, 11, 902, 34908, 220, 23, 11, 931, 12690, 824, 2305, 320, 4940, 1785, 220, 4468, 24, 11, 220, 1484, 4390, 11439, 311, 18629, 7576, 11, 439, 315, 220, 3753, 19, 11, 520, 3325, 220, 9992, 9606, 1047, 1027, 12793, 323, 5255, 86150, 369, 8141, 389, 469, 4381, 323, 51491, 266, 391, 84, 13, 5046, 1521, 11, 220, 2287, 1051, 45888, 9606, 11, 220, 1774, 40545, 78114, 11, 220, 843, 330, 66, 44547, 1, 11012, 315, 4040, 12939, 311, 279, 51491, 276, 8396, 11, 220, 806, 3691, 11012, 11, 220, 21, 11012, 1511, 369, 35335, 9313, 477, 4363, 312, 34084, 11, 220, 19, 369, 5496, 70255, 477, 61316, 1414, 4336, 11, 220, 18, 58041, 11012, 11, 323, 220, 17, 1855, 369, 10160, 9137, 82, 323, 4027, 6798, 13, 22395, 279, 1455, 5526, 308, 546, 318, 655, 9606, 1051, 11301, 19253, 2259, 3312, 50289, 333, 39260, 320, 501, 7719, 439, 459, 40545, 44186, 11, 5496, 25675, 11, 477, 10160, 35449, 1237, 66963, 3062, 32442, 477, 8508, 35534, 11012, 11, 3967, 24392, 439, 17774, 2933, 96501, 6181, 11, 1778, 439, 568, 321, 6181, 320, 38, 8362, 91550, 22633, 121038, 705, 8859, 587, 8115, 320, 9219, 4355, 689, 12290, 859, 372, 705, 9462, 278, 6798, 11, 477, 264, 6151, 320, 50, 60793, 372, 379, 10426, 705, 281, 4381, 320, 37, 12944, 12791, 10418, 466, 12699, 705, 24547, 72, 320, 4368, 258, 2850, 2840, 370, 618, 7675, 705, 11794, 72, 320, 3438, 58016, 834, 716, 1764, 705, 67443, 5021, 11, 477, 101888, 564, 6870, 320, 6854, 19934, 54097, 460, 705, 682, 2203, 560, 320, 47, 3904, 64, 656, 3074, 705, 323, 34606, 59063, 27981, 1590, 26, 14098, 2442, 8016, 11, 1778, 439, 70368, 11, 80240, 24149, 320, 35767, 4341, 90339, 8811, 4575, 1137, 705, 323, 9155, 52054, 689, 10184, 320, 20122, 52054, 689, 8936, 333, 39260, 1237, 323, 40545, 44186, 477, 28601, 11012, 11, 1778, 439, 74599, 17627, 519, 11, 477, 281, 2003, 66 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12699, 320, 16939, 263, 953, 1239, 689, 705, 305, 581, 3510, 355, 320, 39, 581, 3510, 355, 96344, 1355, 258, 87778, 705, 37987, 88, 1074, 1448, 332, 292, 12252, 11, 24166, 25126, 11, 477, 25309, 5455, 587, 11, 6136, 320, 32, 5531, 88, 4055, 264, 479, 83682, 705, 30870, 60246, 8078, 64, 320, 33, 49404, 467, 8078, 64, 91799, 25390, 281, 2003, 67614, 689, 320, 36, 455, 20100, 14840, 7893, 331, 618, 7675, 705, 13863, 689, 320, 38, 8506, 689, 91799, 25390, 323, 279, 42766, 7363, 20589, 320, 15000, 1065, 66, 3557, 91799, 6266, 320, 1016, 13005, 220, 3753, 19, 68, 4390, 791, 1620, 3682, 3158, 315, 5820, 706, 1027, 279, 7649, 323, 21967, 315, 12690, 369, 4363, 312, 34084, 11, 1778, 439, 279, 2447, 311, 89266, 349, 3428, 12, 6852, 5789, 520, 328, 454, 84, 311, 279, 9909, 315, 279, 6864, 315, 452, 36834, 83508, 1073, 64, 389, 51491, 266, 391, 84, 13, 1050, 34084, 990, 520, 328, 454, 84, 6137, 304, 279, 220, 5162, 15, 82, 11, 449, 279, 48114, 315, 11301, 19253, 2259, 3312, 50289, 333, 39260, 311, 70236, 279, 3158, 11, 323, 706, 8738, 311, 279, 3118, 449, 16781, 6136, 826, 315, 445, 22082, 11289, 2473, 60642, 61148, 11, 18452, 46278, 6347, 296, 4134, 11, 3320, 30885, 26919, 19343, 45807, 71, 17528, 11, 1630, 88, 1092, 8035, 355, 16109, 27349, 11, 323, 1023, 4183, 9606, 13, 1666, 6051, 439, 220, 3753, 15, 11, 220, 21, 27464, 315, 445, 22082, 11289, 2473, 60642, 61148, 11, 220, 19, 27464, 315, 35190, 689, 8415, 28279, 11, 323, 220, 18, 27464, 315, 41306, 597, 4202, 72, 320, 9219, 589, 285, 22514, 64, 8, 1051, 39441, 13, 578, 54832, 706, 18307, 1027, 1664, 64868, 11, 449, 279, 5784, 10671, 810, 13709, 1109, 312, 34084, 627, 38, 8875, 287, 11, 6118, 315, 36952, 11, 449, 8518, 5021, 100037, 323, 5554, 85, 93828, 17610, 14918, 315, 279, 24716, 6725, 315, 84550, 36952, 1234, 1080, 444, 6256, 477, 8518, 45888, 9606, 11, 323, 279, 7347, 84550, 315, 36952, 1234, 2009, 84, 936, 7304, 514, 95514, 59822, 6181, 477, 1023, 10633, 12, 6798, 477, 12842, 30349, 9606, 627, 96654, 478, 1197, 1234, 1080, 444, 6256, 198, 791, 84550, 315, 36952, 320, 18375, 6751, 25309, 11, 719, 1101, 34479, 36952, 8, 1234, 1080, 444, 6256, 320, 258, 1063, 5157, 449, 89355, 16048, 8, 374, 555, 3117, 279, 1455, 24716, 6725, 13, 1102, 706, 1027, 21190, 6957, 279, 23028, 2533, 37683, 3115, 11, 8104, 389, 3544, 34557, 84075, 13, 763, 5369, 311, 8405, 13339, 323, 34479, 3956, 11, 36952, 527, 3970, 439, 7524, 40475, 2585, 323, 36214, 2065, 13307, 11, 8617, 68365, 83052, 6373, 323, 279, 4526, 315, 21536, 31049, 627, 16179, 15871, 30026, 389, 3544, 11, 3629, 7362, 477, 1614, 14400, 84075, 477, 6136, 811, 11, 1063, 17047, 11, 1778, 439, 1884, 304, 279, 50899, 23028, 11, 51491, 64, 11, 323, 22652, 361, 11, 617, 21190, 2678, 4346, 84550, 315, 36952, 1234, 1080, 444, 6256, 323, 1023, 12690, 13, 763, 279, 1162, 315, 51491, 64, 11, 2678, 4346, 29149, 1705, 617, 1027, 21190, 311, 25675, 7347, 19885, 315, 872, 220, 18, 13, 18, 6520, 30773, 85274, 1392, 311, 28699, 3059, 36952, 11, 323, 7170, 27928, 11, 1234, 1080, 444, 6256, 323, 1023, 5021, 31665, 323, 2682, 12690, 11, 477, 11, 69487, 11, 311, 80665, 10099, 311, 12690, 323, 28699, 3059, 389, 264, 92371, 8197, 627, 791, 6725, 706, 1027, 8104, 3062, 304, 13000, 84, 36409, 320, 21704, 1603, 323, 1306, 24589, 304, 220, 3753, 15, 8, 323, 1561, 356, 5962, 21947, 11, 1405, 25309, 36952, 5788, 374, 264, 3682, 5820, 13, 64225, 36952, 5788, 6244, 779, 3062, 304, 13000, 84, 36409, 11, 4972, 311, 24589, 11, 430, 1063, 6136, 811, 1051, 6656, 1139, 36952, 6012, 13, 578, 12939, 315, 36952, 14264, 304, 279, 220, 6280, 15, 82, 11, 994, 32366, 398, 16448, 23791, 7194, 1903, 6136, 388, 15098, 18222, 389, 36952, 311, 2567, 872, 6136, 811, 4335, 13, 2468, 832, 4261, 304, 279, 220, 6280, 15, 82, 11, 1077, 5469, 6244, 8294, 1109, 279, 6136, 811, 1436, 1862, 11, 5423, 2391, 9235, 26701, 11, 323, 555, 279, 842, 315, 279, 13515, 11, 6424, 719, 331, 4804, 1047, 9107, 304, 2225, 5896, 650, 10746, 323, 93590, 276, 8078, 11, 279, 1403, 1925, 25861, 13, 3296, 279, 842, 315, 279, 220, 5162, 15, 82, 11, 6293, 969, 5788, 1047, 3719, 912, 810, 1109, 264, 80053, 389, 264, 1396, 315, 6136, 811, 320, 27368, 564, 2630, 449, 23750, 220, 4468, 16, 11, 220, 10513, 10680, 4390, 644, 86196, 11, 304, 220, 4468, 18, 11, 220, 605, 13, 20, 824, 2960, 315, 279, 2254, 25309, 8670, 1051, 17665, 555, 279, 220, 24, 13, 24, 824, 2960, 315, 279, 36952, 7187, 51933, 291, 1234, 1080, 444, 6256, 320, 4940, 37, 220, 4468, 18, 26, 386, 4992, 220, 3753, 18, 570, 1115, 374, 8104, 5199, 2728, 279, 3544, 21801, 315, 2134, 79100, 36952, 9408, 389, 16781, 3544, 13230, 26006, 304, 279, 9235, 26467, 315, 86196, 13, 90181, 1561, 48903, 11, 279, 50899, 23028, 11, 13000, 84, 36409, 11, 323, 1561, 356, 5962, 21947, 304, 11220, 14997, 689, 11, 323, 11104, 88120, 323, 8753, 3735, 84267, 689, 617, 1101, 22815, 21190, 36952, 1234, 1080, 444, 6256, 449, 19622, 3515, 1027, 13375, 389, 54767, 80249, 7969, 323, 89355, 16048, 13, 24191, 315, 279, 11104, 88120, 17236, 92700, 320, 54, 790, 7650, 8, 30451, 333, 276, 4381, 25991, 969, 18317, 367, 11, 18307, 832, 315, 279, 7928, 6293, 969, 6136, 811, 304, 279, 1917, 320, 34, 5408, 220, 3753, 19, 705, 374, 1234, 911, 28109, 555, 36952, 627, 791, 4754, 369, 279, 16287, 20862, 315, 3544, 13230, 84550, 315, 36952, 1234, 1080, 444, 6256, 374, 12474, 389, 279, 8294, 30100, 315, 11220, 14997, 689, 323, 3735, 84267, 689, 13, 1952, 9333, 30100, 11, 1778, 439, 1884, 304, 51491, 64, 323, 279, 12797, 23028, 11, 1405, 1579, 7187, 90816, 323, 4363, 82484, 1304, 810, 16781, 945, 3714, 321, 65297, 561, 10020, 26006, 2753, 9959, 11, 2678, 13230, 92371, 1234, 911, 6795, 315, 80665, 291, 10099, 374, 810, 8475, 13, 763, 38166, 11, 1405, 7187, 17915, 374, 3428, 1606, 315, 991, 5141, 311, 1561, 17340, 11, 1070, 617, 1027, 5435, 315, 927 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 911, 6795, 323, 6996, 315, 98895, 2391, 3115, 315, 37846, 12, 369, 3187, 11, 2391, 279, 15748, 37846, 315, 220, 4468, 22, 12, 4468, 23, 11, 994, 18137, 1047, 311, 387, 25973, 505, 1561, 17340, 627, 42315, 942, 320, 3753, 18, 11, 220, 2946, 8, 2211, 4065, 430, 84550, 1234, 1080, 444, 6256, 649, 1893, 5435, 315, 17614, 1391, 1335, 323, 11, 5423, 304, 279, 1162, 315, 1949, 84550, 11, 864, 866, 958, 38984, 10964, 11, 902, 1288, 1935, 54156, 304, 5789, 449, 7347, 4363, 5070, 13, 1666, 6982, 555, 7978, 304, 90181, 1561, 48903, 323, 18403, 11, 2678, 4346, 25309, 36952, 5788, 649, 617, 28856, 25949, 389, 5258, 81624, 100037, 320, 38, 2177, 1543, 220, 3753, 16, 570, 11208, 8515, 100037, 477, 5258, 81624, 5788, 374, 43303, 11, 46823, 320, 3753, 18, 11, 220, 2946, 8, 29633, 430, 958, 38984, 10964, 1288, 1935, 54156, 927, 84550, 1234, 1080, 444, 6256, 627, 34, 4730, 1234, 45888, 9606, 198, 791, 84550, 315, 36952, 1234, 8518, 45888, 9606, 706, 1027, 22815, 30026, 304, 90181, 1561, 48903, 11, 279, 50899, 23028, 11, 13000, 84, 36409, 11, 323, 86196, 13, 763, 90181, 1561, 48903, 11, 312, 1348, 20762, 7224, 304, 2225, 279, 1579, 8329, 323, 3428, 8329, 3085, 10708, 369, 25309, 5788, 11, 323, 36952, 617, 1027, 22815, 30026, 311, 2585, 70535, 323, 8108, 4027, 8137, 555, 35208, 279, 10633, 13, 17929, 355, 1841, 581, 71435, 48114, 706, 1101, 1027, 21190, 304, 2015, 311, 3493, 28601, 369, 36952, 304, 1825, 16763, 8329, 320, 54, 1617, 220, 3753, 15, 11, 220, 14498, 570, 578, 17219, 315, 89355, 2531, 19131, 1139, 45888, 6136, 811, 323, 14932, 5789, 706, 1101, 1027, 22815, 21190, 11, 323, 279, 4500, 315, 3347, 1439, 11, 8272, 555, 84550, 11, 706, 1027, 810, 477, 2753, 5410, 6725, 304, 264, 1396, 315, 13952, 6136, 811, 304, 90181, 1561, 48903, 11, 1405, 597, 2125, 72, 323, 79771, 34697, 320, 32, 969, 1791, 10649, 91799, 25390, 17929, 355, 1841, 581, 71435, 11, 323, 469, 1791, 5893, 418, 355, 91799, 13, 527, 15042, 13, 10423, 13952, 6136, 811, 527, 1903, 2561, 311, 2254, 73411, 4918, 889, 5813, 26613, 68527, 323, 3347, 1439, 323, 1833, 22281, 2134, 6373, 323, 80249, 12659, 320, 4438, 82793, 220, 4468, 19, 26, 220, 3753, 18, 4390, 644, 279, 50899, 23028, 11, 1405, 1070, 374, 264, 330, 34, 4730, 9636, 59984, 1, 320, 34, 1406, 8, 2447, 11, 36952, 617, 1027, 51933, 291, 1234, 469, 1791, 5893, 418, 355, 5367, 75, 7717, 64, 304, 13952, 6136, 811, 9749, 555, 279, 3109, 304, 14042, 13952, 320, 20122, 24470, 38947, 323, 1254, 1224, 276, 220, 3753, 18, 26, 5124, 404, 1195, 220, 3753, 18, 11, 220, 4645, 26, 60075, 220, 3753, 15, 11, 220, 14498, 8, 323, 304, 13000, 84, 36409, 1234, 2225, 330, 7469, 30909, 18317, 811, 1, 323, 330, 84212, 30909, 18317, 811, 1, 315, 37987, 689, 682, 3205, 6347, 11, 439, 1664, 439, 1234, 17929, 355, 1841, 581, 71435, 389, 362, 818, 488, 372, 11, 9939, 442, 5281, 11, 23458, 762, 537, 11, 323, 77737, 320, 83929, 869, 21148, 323, 34221, 220, 3753, 19, 11, 220, 23, 570, 94030, 287, 1234, 281, 1572, 304, 13000, 84, 36409, 374, 3970, 439, 264, 3445, 315, 18189, 279, 5199, 4027, 6023, 304, 6136, 811, 320, 63040, 220, 3753, 21, 64, 4390, 2181, 374, 304, 86196, 430, 279, 6725, 706, 4762, 1027, 6818, 1455, 1327, 268, 274, 3210, 11, 56612, 311, 3495, 45179, 555, 279, 86196, 42609, 9849, 320, 37, 4977, 705, 264, 45530, 2547, 449, 279, 16945, 315, 68365, 323, 11469, 330, 276, 5064, 3196, 389, 279, 7982, 11, 66747, 11, 47995, 323, 8661, 315, 34697, 323, 1023, 9606, 315, 12690, 15042, 304, 86196, 1, 320, 34, 2089, 220, 3753, 15, 11, 220, 9335, 570, 578, 435, 4977, 374, 8647, 369, 18646, 927, 220, 1774, 11, 931, 6520, 315, 17929, 355, 1841, 581, 71435, 704, 315, 459, 74389, 20547, 12675, 315, 220, 1490, 11, 931, 6520, 389, 279, 7701, 91978, 8374, 300, 16960, 320, 40619, 22464, 83, 8, 69561, 315, 279, 294, 7401, 514, 24998, 16763, 8329, 315, 279, 1403, 7928, 30100, 315, 86196, 13, 578, 12309, 4225, 531, 458, 323, 2781, 6879, 5789, 527, 13294, 660, 449, 264, 16763, 1974, 1207, 31717, 76209, 315, 62357, 41416, 29569, 6371, 11, 2737, 9606, 1778, 439, 13813, 50289, 372, 1499, 599, 613, 26039, 11, 393, 466, 307, 2411, 1560, 3395, 306, 372, 11, 72497, 29424, 689, 96474, 11, 12065, 307, 2411, 1709, 1662, 2979, 11, 36968, 263, 71435, 59665, 974, 11, 323, 11301, 19253, 2259, 3312, 50289, 333, 39260, 13, 1952, 4647, 1601, 60108, 11, 40151, 32329, 355, 70240, 307, 19990, 7739, 4661, 737, 2821, 17820, 481, 12314, 1441, 13, 4314, 16763, 8329, 527, 3917, 311, 21420, 323, 45571, 20252, 627, 791, 435, 4977, 19165, 1982, 3495, 1139, 36952, 84550, 369, 1403, 8125, 25, 311, 21635, 279, 6372, 315, 36952, 84550, 389, 18189, 10633, 304, 1579, 4027, 46570, 26467, 26, 323, 311, 1296, 279, 1005, 315, 36952, 439, 264, 2816, 22041, 36235, 5507, 369, 33850, 279, 4363, 315, 40151, 32329, 355, 70240, 307, 19990, 11, 902, 19168, 5107, 311, 89514, 555, 810, 21349, 3445, 1778, 439, 93043, 323, 20252, 320, 86315, 84782, 220, 3753, 17, 570, 8483, 706, 58487, 3977, 3135, 13, 35407, 320, 4468, 16, 8, 20536, 430, 84550, 315, 36952, 1234, 220, 20, 12, 323, 220, 21, 4771, 6418, 34697, 6136, 811, 304, 8009, 69561, 1047, 264, 65069, 2515, 389, 279, 53399, 6650, 315, 281, 1572, 11, 20444, 84550, 19622, 304, 279, 452, 12119, 13915, 84025, 311, 8417, 279, 2515, 389, 4027, 31397, 14278, 19543, 304, 264, 14278, 304, 10633, 505, 220, 17, 11, 2636, 21647, 824, 48101, 548, 311, 220, 4728, 21647, 824, 48101, 548, 11, 459, 5578, 36952, 4785, 8895, 315, 220, 15, 13, 1187, 21647, 824, 1938, 11, 323, 912, 89355, 82189, 8994, 8987, 80249, 7969, 320, 44612, 269, 220, 4468, 17, 570, 2468, 452, 14406, 292, 27931, 11, 4366, 37977, 320, 4468, 22, 8, 5068, 4785, 20192, 11157, 420, 11, 994, 12690, 1051, 39441, 520, 220, 17, 296, 865, 220, 18, 296, 27032, 11, 449, 1403, 7123, 304, 1475, 4330, 7554, 13, 763, 3977, 27032, 19622, 11, 18366, 320, 3753, 16, 8, 1766, 8275, 54842 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5674, 311, 12690, 2753, 1109, 832, 1060, 2362, 1606, 315, 490, 30809, 11, 994, 279, 12690, 1051, 64928, 220, 18, 296, 10980, 2949, 7123, 323, 220, 17, 13, 20, 11, 220, 18, 11, 220, 18, 13, 20, 11, 323, 220, 19, 296, 10980, 1990, 7123, 11, 279, 36952, 1694, 11784, 1139, 279, 83052, 994, 279, 281, 1572, 1051, 220, 4370, 10166, 1579, 627, 644, 220, 3753, 17, 11, 279, 435, 4977, 22690, 5370, 3495, 7224, 389, 36952, 1234, 281, 1572, 323, 20536, 430, 2728, 330, 1820, 1579, 32115, 323, 4689, 7194, 315, 435, 4977, 7677, 11, 8518, 36952, 84550, 315, 653, 318, 96608, 89355, 1234, 281, 1572, 11, 374, 459, 17821, 22199, 1, 320, 86315, 84782, 220, 3753, 17, 11, 220, 19, 570, 10541, 10633, 2865, 826, 1051, 33452, 11293, 11, 279, 2853, 315, 1701, 36952, 369, 10633, 14278, 574, 330, 25742, 291, 653, 10543, 2915, 1579, 7863, 449, 27548, 1778, 439, 20252, 1, 320, 86315, 84782, 220, 3753, 17, 11, 220, 18, 570, 763, 13168, 11, 279, 1005, 315, 36952, 439, 264, 2816, 22041, 36235, 5507, 1405, 40151, 32329, 355, 35064, 988, 574, 61937, 459, 330, 412, 10276, 2450, 1, 320, 86315, 84782, 220, 3753, 17, 11, 220, 23, 8, 1606, 1023, 5528, 315, 33850, 279, 14880, 16763, 6688, 33243, 3135, 11, 1051, 23356, 37119, 11, 477, 2853, 2288, 1790, 627, 18433, 315, 279, 1579, 2853, 315, 68527, 11, 279, 1317, 9860, 323, 16781, 84550, 315, 36952, 1234, 281, 1572, 706, 1027, 1766, 311, 387, 459, 6316, 32107, 41180, 369, 279, 86196, 42609, 9849, 11, 8051, 1063, 220, 11738, 36952, 527, 5535, 311, 28699, 3059, 1234, 281, 1572, 1949, 315, 6900, 520, 2999, 15790, 323, 350, 402, 13637, 70566, 11, 323, 1063, 36952, 7980, 57751, 398, 28699, 3059, 872, 36952, 304, 86196, 42609, 9849, 36658, 13, 17118, 4363, 23840, 527, 1101, 5535, 311, 28699, 3059, 36952, 1234, 872, 1866, 34697, 6136, 826, 11, 3917, 311, 3738, 17294, 13, 2030, 36952, 7980, 1101, 527, 17821, 311, 1505, 68527, 264, 34235, 26255, 13, 5377, 31608, 84550, 449, 3814, 7394, 5869, 1251, 1253, 387, 264, 13336, 13, 763, 5369, 11, 279, 28989, 315, 36952, 84550, 389, 13241, 3347, 1439, 1234, 12690, 304, 86196, 2103, 3966, 311, 387, 439, 12525, 2692, 627, 11663, 5554, 65297, 561, 10020, 7640, 198, 80171, 1778, 439, 2009, 84, 936, 7304, 514, 95514, 59822, 6181, 527, 1511, 439, 98895, 304, 51491, 64, 323, 90181, 1561, 48903, 11, 1405, 814, 527, 19364, 291, 555, 36952, 439, 264, 34625, 22822, 320, 54, 1617, 220, 3753, 15, 11, 220, 14498, 570, 2684, 374, 8530, 1063, 7036, 369, 279, 84550, 315, 1023, 10099, 1778, 439, 49910, 11, 71932, 11, 323, 54623, 389, 13241, 2531, 3972, 3347, 1439, 477, 4498, 4336, 1234, 1080, 444, 6256, 11, 8518, 45888, 9606, 11, 477, 1023, 12690, 320, 87708, 3902, 220, 3753, 15, 26, 46823, 220, 3753, 18, 4390, 644, 279, 16867, 11, 439, 18403, 11, 2802, 304, 945, 299, 1348, 4720, 706, 6051, 15042, 19019, 4315, 14248, 11, 4363, 25700, 11909, 11, 29711, 1705, 11, 323, 279, 4500, 15749, 315, 5426, 17047, 323, 6625, 13607, 13, 1666, 2736, 10555, 11, 6067, 315, 8518, 5788, 430, 1053, 1457, 387, 21771, 439, 945, 299, 1348, 4720, 1051, 33230, 4216, 304, 279, 16867, 596, 37683, 3347, 11, 8104, 304, 279, 1376, 315, 2814, 380, 461, 88, 28904, 315, 34557, 75818, 449, 1023, 31665, 477, 449, 36952, 13, 3161, 5363, 311, 945, 299, 1348, 4720, 6067, 304, 279, 5258, 81624, 26436, 11, 420, 2363, 706, 16495, 311, 20461, 872, 38009, 323, 61386, 488, 304, 279, 16867, 23028, 13, 1666, 123967, 320, 3753, 15, 65, 11, 220, 5925, 8, 12963, 28014, 13605, 433, 304, 813, 10430, 315, 330, 83715, 25003, 15264, 1359, 1070, 374, 4400, 502, 922, 7447, 34352, 88, 100037, 1524, 3582, 433, 706, 3629, 1027, 12090, 311, 2678, 17075, 439, 459, 18699, 15105, 814, 2643, 11142, 627, 644, 2144, 10068, 6067, 617, 2744, 6532, 1778, 12823, 304, 14458, 36536, 449, 44184, 3637, 1065, 315, 75818, 11, 12690, 11, 27331, 86529, 11, 14362, 16115, 11, 39999, 77140, 3789, 31665, 11, 323, 36581, 11012, 323, 40545, 78114, 13, 35339, 11, 304, 2064, 1810, 729, 11, 9709, 9606, 323, 8205, 6136, 826, 527, 5694, 7447, 34352, 88, 13, 763, 420, 1162, 1778, 6136, 826, 1101, 1935, 389, 264, 2450, 4001, 13189, 11, 369, 2768, 279, 3789, 31665, 11, 1063, 4612, 343, 729, 1778, 439, 44196, 323, 5129, 9860, 11012, 1778, 439, 16385, 36698, 323, 1023, 14098, 323, 10184, 12690, 11, 13076, 14362, 16115, 11, 323, 86529, 11, 33482, 279, 5788, 315, 1521, 36536, 627, 9688, 79454, 323, 41416, 22012, 889, 617, 20041, 1521, 21522, 315, 39678, 6067, 1505, 59560, 1063, 315, 279, 13865, 1903, 311, 19678, 33232, 945, 299, 1348, 4720, 1139, 279, 16867, 2317, 13, 1952, 279, 1023, 1450, 11, 304, 264, 892, 315, 711, 97893, 323, 945, 299, 755, 97893, 11, 433, 374, 20697, 311, 15253, 2225, 315, 279, 20414, 311, 945, 299, 1348, 4720, 7633, 304, 12735, 220, 16, 12, 279, 33232, 5603, 11, 902, 8965, 26737, 311, 19678, 38983, 52373, 6067, 69120, 389, 279, 8197, 315, 6617, 7739, 315, 6492, 11, 323, 279, 13042, 12, 762, 5848, 5603, 11, 902, 374, 11920, 810, 449, 1317, 56703, 39678, 6067, 11, 38969, 2740, 69120, 323, 17693, 23711, 304, 279, 13042, 18921, 13, 13440, 477, 539, 279, 1403, 20414, 649, 387, 1005, 3725, 11546, 291, 8625, 1825, 311, 3488, 11, 8051, 1063, 7739, 315, 330, 14703, 287, 449, 279, 3347, 1, 656, 2873, 3284, 320, 100069, 441, 220, 4468, 23, 4390, 4599, 6666, 374, 6656, 311, 279, 3938, 315, 33232, 945, 299, 1348, 4720, 304, 279, 16867, 11, 433, 649, 387, 9539, 18057, 430, 422, 3927, 2678, 17075, 527, 311, 8935, 927, 279, 1317, 4751, 505, 279, 17219, 315, 459, 50383, 33232, 1534, 945, 299, 1348, 4720, 1887, 11, 814, 690, 1205, 311, 5371, 459, 14529, 6462, 315, 11374, 323, 2038, 11, 902, 13533, 279, 1205, 369, 1063, 3460, 315, 9070, 2532, 13, 19173, 11, 433, 374, 26579, 430, 9070, 990, 304, 1690, 16867, 5961, 374, 8965, 8009, 11, 323, 9070, 3600, 3629, 617, 1193, 14580, 23862, 2949, 90124, 477, 26280, 320, 39, 2933, 6, 1073, 64, 1880, 453, 13, 220, 3753, 15, 11, 220, 9367 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12, 9378, 570, 2650, 311, 40239, 420, 48294, 25930, 3892, 6485, 719, 71867, 4819, 11, 902, 617, 1027, 27023, 449, 520, 3160, 304, 264, 3544, 17649, 323, 902, 649, 1193, 387, 59915, 398, 12020, 1618, 627, 2409, 5363, 311, 279, 2926, 17219, 315, 264, 502, 945, 299, 1348, 4720, 1887, 11, 433, 374, 4228, 482, 2728, 279, 1510, 23354, 315, 945, 299, 1348, 4720, 304, 279, 4500, 1917, 311, 1505, 11006, 369, 35936, 323, 7224, 11, 719, 1521, 555, 872, 7138, 6996, 50106, 11, 323, 814, 527, 3629, 38018, 555, 5687, 50383, 449, 2254, 945, 299, 1348, 4720, 32006, 13, 578, 16867, 374, 39682, 291, 449, 7224, 11084, 304, 1862, 315, 682, 21522, 315, 1695, 11384, 872, 29368, 73440, 7293, 11, 1093, 279, 6411, 63330, 3051, 689, 23941, 6892, 389, 35909, 1306, 4435, 5111, 8105, 13, 3861, 1648, 311, 33435, 50106, 1139, 7224, 323, 311, 3351, 7953, 54180, 389, 46579, 9070, 3600, 374, 311, 1376, 264, 58983, 6373, 1887, 369, 2678, 17075, 320, 57753, 14183, 311, 439, 264, 83052, 3941, 315, 6373, 570, 15483, 264, 1887, 706, 1027, 6992, 304, 3892, 13422, 11, 35146, 279, 11297, 2678, 4346, 5788, 315, 13465, 779, 3062, 304, 86196, 596, 8752, 323, 1101, 304, 27531, 5788, 304, 430, 1890, 3224, 320, 36, 24444, 220, 3753, 23, 64, 570, 4427, 1023, 13865, 617, 1027, 2753, 6992, 13, 578, 8882, 323, 1615, 315, 279, 5603, 617, 1027, 62666, 4501, 66766, 709, 555, 11481, 4506, 1880, 453, 13, 320, 3753, 19, 64, 26, 220, 3753, 19, 65, 8, 323, 27738, 320, 3753, 19, 4390, 71088, 505, 5435, 4279, 311, 904, 2447, 6108, 17219, 11, 264, 3230, 22295, 311, 279, 2539, 49803, 315, 279, 4754, 315, 945, 299, 1348, 4720, 555, 33232, 3445, 36716, 311, 279, 57315, 39667, 12, 93221, 2065, 430, 3752, 4861, 14673, 11920, 449, 4363, 1005, 11, 49001, 482, 439, 279, 10783, 315, 19845, 5726, 37, 29786, 482, 330, 351, 2265, 10745, 323, 88134, 14614, 4498, 1234, 2204, 90124, 477, 11, 422, 814, 527, 1234, 279, 1890, 25887, 11, 1234, 8821, 26280, 2965, 320, 43, 1263, 75365, 220, 3753, 22, 11, 220, 2096, 570, 24838, 11951, 315, 279, 88134, 10706, 304, 279, 4987, 16867, 11, 60075, 320, 3753, 15, 11, 220, 13121, 12, 13236, 8, 10555, 430, 330, 1820, 25768, 315, 29149, 323, 88134, 9070, 3600, 37167, 279, 21455, 430, 30029, 323, 88134, 527, 53579, 14079, 27548, 4856, 1109, 58535, 4363, 5829, 1210, 23548, 389, 505, 323, 5552, 311, 420, 10706, 278, 44598, 278, 2065, 374, 1855, 15244, 596, 48696, 311, 35608, 279, 3927, 3777, 430, 374, 279, 5357, 315, 430, 15244, 13, 763, 13168, 11, 439, 706, 3629, 1027, 13468, 512, 791, 5258, 81624, 4363, 1217, 596, 8446, 323, 22262, 527, 311, 1005, 813, 23791, 323, 4363, 5070, 311, 30536, 11, 449, 8187, 5326, 11, 279, 5788, 315, 5370, 3956, 323, 3600, 2631, 311, 27651, 682, 813, 6913, 3966, 13, 578, 16188, 40206, 447, 2826, 315, 21349, 52765, 48529, 36185, 14673, 15812, 304, 279, 8060, 311, 25670, 323, 3619, 1521, 6913, 13363, 11, 15174, 323, 22262, 11, 323, 304, 279, 38550, 311, 10737, 311, 1124, 13, 578, 22262, 11, 14054, 11, 57916, 323, 19675, 315, 1521, 14673, 11, 439, 1664, 439, 279, 4967, 315, 872, 11909, 11, 527, 59547, 311, 279, 31127, 2065, 315, 3927, 6956, 11, 387, 814, 3691, 31665, 11, 8515, 31665, 11, 10099, 477, 12690, 13, 2684, 374, 2697, 8830, 430, 279, 4363, 1217, 3966, 311, 4430, 704, 813, 5070, 369, 279, 5788, 315, 1023, 51967, 477, 3600, 320, 43, 1263, 75365, 220, 3753, 22, 11, 220, 2790, 4390, 4599, 31127, 2065, 374, 20034, 520, 8518, 3956, 11, 439, 433, 1455, 14134, 374, 304, 279, 16867, 11, 264, 743, 315, 7170, 71240, 11618, 4131, 1139, 1514, 13, 1789, 3187, 11, 13865, 311, 8356, 8515, 31665, 1418, 14691, 311, 3449, 5258, 81624, 3966, 1253, 4546, 29149, 1558, 3294, 422, 4363, 374, 7347, 11, 477, 433, 1253, 1121, 304, 459, 9070, 315, 100037, 8800, 32873, 18067, 10194, 12098, 439, 8515, 31665, 477, 36952, 1935, 927, 2731, 12098, 13, 362, 66979, 304, 8518, 3956, 1253, 539, 387, 24895, 555, 904, 390, 884, 52044, 5376, 304, 23791, 18539, 477, 9070, 9650, 320, 61917, 22486, 311, 8294, 24190, 8, 389, 1268, 311, 5376, 5258, 81624, 5788, 320, 54, 569, 220, 3753, 21, 26, 123967, 220, 3753, 15, 65, 4390, 13461, 279, 86196, 12279, 4858, 8371, 4720, 5907, 11, 902, 65362, 304, 279, 5209, 3753, 15, 82, 11, 8111, 14918, 10968, 9017, 68365, 7637, 8515, 100037, 11, 8051, 1202, 3878, 315, 5905, 4284, 264, 27927, 5603, 430, 5764, 330, 782, 1325, 287, 12208, 30450, 5222, 41537, 13291, 304, 279, 5151, 315, 88134, 323, 945, 299, 1348, 4720, 304, 1584, 449, 279, 3674, 11, 13042, 323, 7100, 8670, 315, 2218, 5315, 1, 320, 123436, 657, 220, 3753, 23, 11, 220, 18, 570, 91150, 311, 279, 86196, 12279, 4858, 8371, 4720, 5907, 617, 1101, 1903, 61876, 323, 7029, 82105, 19075, 11, 719, 279, 5907, 596, 1510, 7640, 11, 439, 7633, 6931, 304, 420, 12735, 11, 527, 38626, 389, 18899, 279, 5788, 315, 44768, 439, 264, 8515, 19641, 555, 33018, 39418, 12690, 311, 5471, 58097, 323, 8454, 21075, 65391, 627, 2028, 61238, 374, 539, 311, 387, 409, 745, 291, 11, 719, 279, 5603, 11, 39575, 555, 1202, 17219, 315, 323, 66196, 449, 39418, 12690, 54050, 1824, 42816, 449, 264, 8515, 19641, 11, 1587, 2697, 311, 21813, 6484, 945, 299, 1348, 4720, 6067, 477, 311, 10519, 264, 8335, 1990, 8518, 945, 299, 1348, 4720, 7640, 323, 7640, 430, 1436, 6144, 279, 6484, 5258, 81624, 2385, 13, 3861, 31760, 11349, 311, 279, 5907, 430, 330, 351, 299, 1348, 4720, 323, 88134, 9070, 1288, 539, 4879, 311, 7293, 449, 477, 471, 311, 10748, 7739, 315, 5258, 81624, 8752, 719, 5357, 389, 2737, 34235, 8515, 31665, 520, 3428, 15635, 1, 320, 59270, 3297, 67, 616, 220, 3753, 22, 11, 220, 1758, 570, 1115, 28782, 1587, 13519, 459, 35996, 315, 279, 1205, 311, 30437, 5326, 11, 719, 2225, 433, 323, 682, 279, 1023, 50184, 6, 19075, 311, 279, 5907, 3775, 311, 1862, 16917, 279, 13709, 315, 264, 31528, 5258, 81624, 2385, 13, 13596, 31760, 11, 889, 1047, 1027, 4183, 311, 10765, 14791, 6732, 369, 30816, 31794, 369, 279, 5907, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 574, 4691, 311, 4068, 389, 279, 4623, 315, 10917, 7191, 25679, 389, 279, 5258, 81624, 13878, 315, 945, 299, 1348, 4720, 323, 315, 22209, 287, 6484, 2254, 945, 299, 1348, 4720, 6067, 439, 30816, 31794, 1139, 902, 4183, 18637, 1436, 387, 11784, 13, 1283, 16846, 430, 433, 574, 5115, 71985, 311, 1755, 3060, 279, 86196, 10423, 477, 279, 6063, 11006, 9266, 311, 1862, 1778, 459, 25679, 304, 2035, 315, 459, 25679, 389, 1701, 945, 299, 1348, 4720, 439, 264, 1648, 311, 7417, 96157, 44547, 8515, 100037, 627, 644, 12399, 11, 7637, 31665, 11, 45888, 12690, 11, 323, 84550, 1234, 1080, 444, 6256, 617, 1027, 279, 14691, 5357, 315, 4661, 682, 4033, 945, 299, 1348, 4720, 7640, 369, 279, 3347, 9478, 13, 44840, 315, 3508, 433, 706, 1027, 279, 37683, 477, 1772, 20024, 263, 532, 29149, 323, 88134, 26280, 477, 11, 312, 2960, 398, 11, 6625, 12576, 13607, 11, 279, 5357, 706, 1027, 4661, 24121, 389, 96157, 44547, 11, 3629, 3544, 13230, 5788, 369, 7637, 477, 11, 304, 279, 1162, 315, 45888, 323, 10633, 12, 6798, 5788, 11, 369, 1179, 50068, 13, 7570, 279, 958, 66, 3787, 527, 6118, 8515, 31665, 369, 7637, 477, 2254, 6412, 13, 53123, 11, 1455, 39678, 8545, 9606, 323, 279, 7029, 2134, 315, 8776, 27981, 1590, 617, 4036, 2697, 4033, 20862, 323, 617, 1027, 279, 5357, 315, 1193, 7347, 3495, 13, 44015, 11156, 11909, 477, 4500, 35490, 1440, 3403, 922, 8776, 9709, 29149, 6067, 323, 872, 3777, 11012, 311, 387, 10032, 477, 3025, 311, 12192, 872, 14800, 477, 13709, 13, 1102, 374, 539, 1193, 7224, 10825, 311, 2274, 8518, 30029, 323, 88134, 430, 1253, 834, 2050, 477, 96630, 8776, 945, 299, 1348, 4720, 6067, 26, 6617, 33232, 945, 299, 1348, 4720, 7224, 1253, 5694, 1514, 279, 1890, 3560, 627, 9219, 6072, 323, 16627, 14673, 22923, 945, 299, 1348, 4720, 198, 11458, 11, 1070, 527, 1101, 19567, 304, 1862, 315, 8776, 6067, 13, 578, 7982, 5526, 2065, 323, 18324, 15603, 315, 279, 907, 315, 279, 330, 49143, 5717, 315, 279, 61776, 1, 320, 37353, 664, 83, 942, 323, 56846, 220, 2550, 17, 8, 1253, 62425, 7319, 33232, 6666, 311, 39678, 1499, 3418, 44547, 6067, 315, 945, 299, 1348, 4720, 304, 279, 16867, 13, 1115, 3857, 5825, 2038, 389, 3892, 10507, 315, 1778, 6666, 323, 389, 279, 14673, 6532, 26, 6420, 706, 1027, 1903, 6931, 315, 1063, 315, 1521, 11, 719, 814, 690, 387, 14183, 311, 1618, 27851, 1578, 311, 3493, 264, 56887, 3254, 2759, 627, 2460, 279, 3682, 23978, 2949, 279, 16867, 5654, 320, 31272, 315, 92788, 11, 2225, 315, 90181, 1561, 48903, 596, 23978, 11, 279, 3907, 315, 279, 4987, 16867, 304, 86196, 323, 1202, 6150, 315, 37963, 304, 11104, 88120, 11, 3907, 315, 28621, 11, 323, 279, 11469, 44579, 78303, 14673, 304, 1561, 356, 5962, 21947, 323, 58087, 12583, 8, 1862, 5687, 449, 12034, 304, 8776, 13146, 11, 2737, 30029, 11, 945, 299, 1348, 4720, 11, 323, 279, 6373, 315, 17614, 323, 54832, 13, 26848, 1109, 4879, 264, 2539, 15182, 315, 3388, 33935, 9959, 311, 945, 299, 1348, 4720, 311, 520, 3325, 1063, 8547, 11, 584, 5296, 1618, 1193, 430, 11, 389, 279, 8197, 315, 1510, 2038, 520, 1450, 11, 279, 14307, 1455, 6089, 10968, 389, 945, 299, 1348, 4720, 527, 1766, 2949, 279, 84425, 6011, 520, 279, 3907, 315, 279, 4987, 16867, 304, 17360, 6723, 11, 86196, 11, 323, 279, 6011, 315, 72808, 17404, 323, 76619, 10170, 520, 279, 3907, 315, 28621, 304, 82640, 13, 2057, 279, 1888, 315, 1057, 6677, 11, 279, 3907, 315, 28621, 374, 39575, 555, 1694, 279, 1193, 12374, 304, 279, 5654, 311, 617, 264, 7086, 17054, 315, 4701, 299, 1348, 4720, 11, 889, 374, 7559, 304, 279, 6011, 315, 72808, 17404, 323, 76619, 10170, 13, 578, 4349, 514, 713, 315, 28095, 32921, 689, 304, 393, 3180, 64974, 1101, 706, 5687, 449, 4642, 323, 2167, 12034, 304, 39678, 945, 299, 1348, 4720, 627, 9219, 299, 1348, 4720, 20862, 555, 279, 86196, 12279, 4858, 8371, 4720, 5907, 11, 264, 52303, 9266, 11, 706, 1027, 7633, 304, 279, 3766, 3857, 13, 362, 2204, 5603, 374, 8272, 555, 279, 4987, 16867, 8371, 4720, 11050, 47516, 11, 902, 374, 264, 2814, 44039, 220, 20, 4771, 2447, 24853, 555, 6781, 10510, 11, 16070, 555, 15358, 46, 11, 323, 1457, 3196, 304, 17360, 6723, 11, 86196, 13, 578, 47516, 374, 11920, 449, 36658, 323, 12690, 304, 220, 868, 5961, 11, 779, 3117, 8104, 449, 36658, 304, 279, 8294, 5961, 11, 719, 520, 980, 5961, 527, 3339, 84422, 922, 1080, 444, 6256, 323, 1023, 7447, 59338, 12690, 13, 578, 3560, 315, 279, 47516, 374, 311, 51077, 7640, 323, 3493, 11156, 9650, 11, 539, 311, 14816, 7640, 5196, 13, 1789, 2937, 11, 433, 72849, 279, 1179, 315, 19595, 315, 16757, 57645, 276, 505, 28796, 369, 48114, 304, 16867, 36658, 304, 2015, 311, 5376, 872, 2536, 2442, 318, 655, 5788, 23099, 13, 57194, 505, 11156, 9650, 11, 279, 47516, 14385, 439, 264, 42199, 1486, 369, 2038, 922, 36658, 323, 12690, 323, 65585, 279, 51534, 4987, 16867, 8371, 4720, 39693, 13, 1102, 374, 1101, 4560, 311, 31335, 279, 9904, 315, 2254, 6677, 389, 39678, 945, 299, 1348, 4720, 11, 449, 7978, 13205, 477, 1234, 1648, 304, 393, 3180, 64974, 11, 86196, 11, 26608, 581, 9491, 11, 29749, 26591, 11, 51491, 64, 11, 323, 1023, 13218, 5961, 627, 791, 47516, 706, 6575, 22415, 8046, 449, 279, 6625, 47886, 578, 5114, 315, 279, 81398, 315, 279, 4987, 16867, 320, 37, 4695, 8, 389, 264, 2447, 10825, 311, 2274, 22556, 88134, 304, 2254, 5789, 1418, 48408, 1523, 477, 23351, 11295, 14747, 315, 36658, 555, 3544, 13230, 13076, 8558, 13, 1115, 16945, 374, 3196, 304, 961, 389, 11486, 2678, 6505, 5602, 76, 3385, 311, 19624, 35490, 323, 4029, 5315, 779, 430, 814, 1253, 2274, 2678, 13230, 719, 34235, 323, 24392, 4186, 20631, 8558, 11, 11953, 704, 304, 5627, 430, 5766, 3682, 12434, 5674, 323, 430, 10519, 279, 7718, 6070, 315, 279, 13952, 369, 8776, 5829, 323, 50953, 3600, 627, 32, 2326, 10423, 2447, 3196, 304, 28621, 374, 15691, 704, 990, 5552, 311, 3892, 13878, 315, 945, 299, 1348, 4720, 304, 28621, 11, 3778, 28095, 32921, 689, 11, 323, 3778, 88120, 13, 21839, 60134, 11050, 304, 279, 3778, 16867, 320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1846, 2599, 705, 279, 2447, 706, 3984, 945, 299, 1348, 4720, 16627, 7384, 311, 682, 279, 586, 320, 1974, 13500, 8, 31252, 323, 23978, 304, 279, 3778, 71260, 54873, 16867, 13, 763, 15360, 449, 279, 2326, 6011, 315, 37963, 323, 279, 2326, 20585, 5475, 11, 9827, 2599, 374, 1101, 11469, 4967, 38737, 304, 945, 299, 1348, 4720, 627, 791, 11847, 323, 11216, 10181, 315, 279, 6460, 61861, 5955, 304, 28621, 18908, 264, 3831, 18629, 315, 3495, 11, 68569, 11, 323, 17009, 389, 945, 299, 1348, 4720, 369, 3892, 1667, 2391, 279, 220, 3753, 15, 82, 320, 68, 1326, 2637, 52162, 24404, 220, 2550, 17, 26, 452, 1334, 220, 3753, 19, 570, 10541, 945, 299, 1348, 4720, 374, 912, 5129, 264, 12717, 5357, 315, 1202, 990, 11, 279, 10181, 8625, 264, 12827, 315, 264, 3544, 8286, 315, 4756, 323, 85317, 3769, 389, 279, 8712, 627, 44, 3012, 291, 520, 279, 7314, 315, 420, 12735, 574, 279, 1934, 320, 34, 91555, 220, 3753, 23, 8, 315, 264, 11156, 6574, 389, 945, 299, 1348, 4720, 304, 35148, 30100, 5762, 520, 279, 10181, 369, 8483, 11, 27571, 323, 16543, 304, 37963, 320, 7618, 15559, 705, 902, 374, 961, 315, 279, 3907, 315, 279, 4987, 16867, 596, 6150, 315, 37963, 304, 11104, 88120, 13, 358, 793, 15559, 374, 1101, 6532, 304, 3495, 7224, 311, 7417, 477, 20259, 520, 980, 945, 299, 1348, 4720, 304, 26608, 581, 9491, 627, 644, 279, 11220, 14997, 1122, 5961, 11, 449, 872, 71561, 8294, 5933, 36658, 11, 13952, 75890, 17459, 2490, 527, 1234, 1648, 477, 13205, 11, 8965, 439, 264, 48566, 11, 12576, 50701, 2447, 1990, 279, 2254, 8371, 4720, 6011, 323, 25355, 11156, 17274, 13, 578, 17459, 2490, 527, 10825, 311, 3493, 279, 2038, 2385, 5995, 369, 7524, 4363, 25700, 9293, 323, 6373, 11, 719, 1457, 11, 20426, 1063, 3347, 13952, 41300, 11, 279, 15808, 1920, 5764, 4526, 315, 828, 389, 92456, 34104, 323, 389, 279, 39678, 79180, 45739, 45983, 907, 315, 13952, 11012, 11, 439, 304, 279, 13952, 75890, 15808, 1457, 1694, 8308, 555, 279, 13000, 84, 36409, 8371, 4720, 6011, 449, 11156, 13291, 505, 279, 41306, 320, 49137, 8, 20585, 5475, 323, 279, 14829, 315, 71343, 356, 3787, 323, 24561, 1439, 315, 279, 320, 75341, 8, 38298, 38130, 323, 25563, 8483, 21021, 320, 49507, 1308, 4390, 24901, 11, 6420, 1288, 387, 1903, 315, 279, 990, 315, 2794, 790, 1937, 11, 279, 8753, 7471, 430, 39990, 8753, 12624, 3495, 304, 279, 4948, 1917, 11, 14918, 304, 279, 21965, 1233, 13, 3161, 36282, 304, 279, 16867, 304, 60287, 102843, 64, 323, 58087, 12583, 11, 2794, 790, 1937, 706, 30638, 990, 539, 1193, 5552, 311, 1690, 13878, 315, 6617, 4500, 719, 1101, 311, 8776, 13042, 12, 762, 5848, 13146, 11, 369, 3187, 11, 449, 3230, 41961, 311, 945, 299, 1348, 4720, 11, 279, 990, 389, 279, 27981, 1590, 315, 597, 2979, 320, 47, 13154, 21747, 599, 86231, 8, 304, 13000, 84, 36409, 320, 2356, 6465, 323, 27200, 50841, 220, 3753, 21, 4390, 15147, 482, 30013, 482, 9479, 128001, 128000, 1383, 2999, 13, 8930, 56552, 198, 41, 3200, 3691, 374, 29820, 311, 75722, 287, 7969, 315, 20335, 11, 1579, 6680, 7410, 11, 323, 1524, 53572, 1198, 323, 539, 1120, 4315, 12884, 627, 27844, 323, 43450, 5220, 8493, 400, 17, 7239, 264, 1060, 22923, 53808, 15657, 311, 6980, 11, 323, 1418, 13967, 433, 596, 279, 6699, 6, 12014, 311, 5510, 872, 2911, 9498, 15657, 11, 30774, 3691, 14058, 1304, 420, 1790, 810, 5107, 1109, 433, 1288, 387, 627, 32, 502, 4901, 11, 1226, 2351, 2876, 55409, 1102, 11, 374, 1457, 38199, 311, 1520, 29241, 81374, 8661, 311, 2911, 11, 78293, 5064, 8349, 11, 323, 11415, 279, 5652, 3495, 11, 304, 279, 16388, 315, 13696, 420, 11965, 389, 3432, 596, 12822, 11, 323, 358, 3358, 10552, 1268, 499, 649, 636, 6532, 11, 2288, 11, 3770, 627, 22186, 4718, 9576, 67975, 553, 279, 330, 60890, 1676, 8696, 1, 5380, 13622, 79935, 15641, 279, 1879, 315, 32014, 596, 330, 98335, 5438, 288, 1, 1317, 1603, 814, 527, 12365, 304, 2539, 23719, 627, 18433, 814, 527, 3629, 9408, 389, 8753, 53031, 11, 5043, 64567, 57947, 388, 323, 19087, 39962, 11, 477, 422, 330, 93613, 1, 374, 264, 2766, 315, 264, 14841, 11, 527, 15972, 430, 8753, 53031, 11, 16553, 19779, 323, 39962, 374, 459, 22281, 15496, 13, 12522, 499, 14000, 430, 1524, 304, 330, 23108, 1, 15926, 279, 6980, 6, 5130, 2671, 527, 4661, 2744, 11622, 30774, 3691, 1093, 23317, 11, 9155, 13055, 72, 323, 17604, 477, 41951, 16553, 31022, 5380, 2173, 3388, 6980, 690, 4762, 10932, 1521, 15657, 422, 430, 596, 1148, 814, 2351, 9076, 26, 1521, 15657, 527, 28648, 311, 12945, 1695, 11, 323, 1455, 6980, 7784, 956, 2133, 311, 3469, 369, 264, 41963, 315, 79276, 927, 264, 8753, 53646, 1198, 3156, 814, 2351, 2362, 3403, 311, 3619, 279, 25127, 315, 279, 5873, 11, 323, 26619, 499, 617, 15972, 1124, 922, 279, 12939, 315, 12459, 9498, 15657, 3235, 279, 1648, 627, 644, 1690, 5627, 8396, 374, 743, 709, 2403, 499, 389, 420, 832, 13, 1666, 578, 5783, 56665, 22938, 5856, 389, 40160, 8152, 291, 311, 15394, 320, 82396, 38, 8, 6821, 512, 12, 578, 5043, 64567, 5064, 38202, 810, 1109, 400, 20, 3610, 1475, 1938, 8661, 53808, 15657, 311, 2911, 627, 12, 23338, 3821, 459, 5578, 315, 927, 220, 605, 3691, 14228, 14058, 1475, 1938, 320, 77, 22928, 220, 19, 11, 931, 86000, 4390, 12, 49669, 682, 320, 3264, 3346, 8, 315, 3691, 43749, 19894, 555, 2911, 527, 369, 3956, 430, 527, 1579, 304, 8834, 11, 13465, 477, 39695, 13, 7648, 320, 4643, 3346, 8, 527, 3428, 304, 24722, 627, 4516, 1524, 1234, 279, 1888, 13463, 11, 701, 6980, 690, 4762, 387, 15246, 311, 279, 5652, 330, 43296, 1, 10585, 15657, 11, 323, 420, 374, 1148, 55572, 527, 23641, 389, 13, 5112, 11, 994, 499, 733, 311, 279, 30687, 3637, 11, 701, 1716, 690, 617, 264, 91140, 422, 499, 1541, 956, 3041, 304, 323, 3780, 279, 62233, 449, 872, 7075, 31449, 3752, 389, 279, 3830, 11, 477, 279, 8443, 449, 76389, 28296, 24512, 13, 1442, 499, 2351, 264, 2748, 11, 433, 596, 7995, 8831, 311, 1120, 3041, 304, 11, 719, 433, 596, 48696, 311, 387, 3831, 439, 46620, 701 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1716, 596, 12459, 26870, 8638, 1633, 4216, 389, 117054, 7927, 9576, 596, 59081, 48970, 527, 4388, 555, 13381, 220, 18, 198, 28528, 5039, 994, 6699, 23114, 872, 61905, 57859, 2911, 30774, 15657, 1579, 304, 13465, 11, 12290, 323, 53808, 50127, 11, 433, 1047, 264, 29869, 5536, 389, 872, 12945, 19882, 13, 2052, 315, 279, 2911, 12793, 8710, 19882, 369, 30774, 15657, 11, 323, 682, 320, 17206, 1884, 889, 1051, 1120, 220, 18, 1667, 2362, 16715, 1051, 1101, 3025, 311, 15641, 1063, 39962, 11, 5043, 3691, 323, 30774, 3691, 16097, 627, 791, 12074, 20536, 1148, 499, 4762, 2736, 15562, 25, 6980, 889, 1051, 15246, 311, 30774, 3691, 11, 39962, 323, 5043, 3691, 11, 4669, 13172, 323, 1101, 1606, 872, 6699, 23114, 1124, 1521, 15657, 11, 9687, 311, 15641, 323, 10932, 1521, 15657, 927, 39345, 11709, 13, 1115, 1587, 617, 459, 5536, 389, 872, 2890, 11, 439, 37493, 505, 4367, 15657, 527, 9200, 304, 10695, 701, 1716, 5662, 813, 477, 1077, 77796, 4754, 4999, 4054, 4007, 505, 8013, 12074, 10675, 430, 6980, 889, 30912, 264, 47904, 15590, 3691, 10173, 520, 4325, 220, 18, 1047, 4827, 37811, 12483, 520, 4325, 220, 23, 13, 20, 13, 1789, 1855, 17303, 5376, 304, 15590, 15657, 11, 13324, 1047, 264, 220, 16, 13, 3080, 16983, 18979, 304, 37811, 627, 2170, 499, 2643, 15562, 11, 279, 14329, 1101, 5762, 837, 11, 449, 1884, 12459, 39345, 41943, 25051, 5190, 37811, 5990, 13, 1789, 1855, 17303, 5376, 304, 34625, 5573, 11, 902, 8967, 279, 1716, 574, 12459, 810, 26390, 323, 24822, 369, 2937, 11, 1070, 574, 264, 220, 16, 13, 17, 16983, 5376, 304, 37811, 627, 791, 8903, 374, 11, 279, 1888, 892, 311, 6211, 701, 6980, 6, 12459, 26870, 374, 1418, 814, 2351, 2103, 3995, 13, 1115, 3445, 6041, 505, 7342, 449, 17659, 14403, 323, 1243, 73194, 311, 6573, 15657, 430, 617, 15525, 37493, 11, 1093, 19151, 379, 23427, 11, 68346, 323, 10437, 35267, 13, 320, 2675, 649, 6847, 5425, 904, 1376, 315, 24875, 6108, 31383, 62233, 1022, 315, 420, 1160, 29275, 3915, 1070, 11, 50663, 499, 690, 5510, 701, 1716, 9498, 15657, 430, 701, 3070, 374, 1101, 12459, 1198, 16763, 79100, 63875, 11, 17808, 60399, 11, 36581, 23661, 11, 7257, 34479, 323, 31049, 11, 323, 779, 389, 13, 4314, 527, 279, 15657, 701, 1716, 690, 41972, 389, 11, 323, 433, 596, 3062, 814, 4048, 1148, 1972, 11, 9498, 3691, 374, 1314, 505, 279, 636, 20521, 13, 1115, 1648, 11, 994, 814, 3719, 14887, 729, 323, 37719, 11, 814, 1253, 8343, 30774, 3691, 1618, 323, 1070, 520, 264, 4333, 596, 3838, 11, 719, 814, 690, 471, 311, 1972, 3691, 439, 279, 16665, 315, 872, 10173, 1198, 323, 430, 14464, 690, 3136, 389, 449, 1124, 369, 264, 19569, 627, 2028, 374, 3639, 35800, 729, 3277, 1472, 6914, 4488, 2481, 30226, 349, 4718, 32666, 596, 27304, 117054, 791, 1614, 315, 1455, 6980, 6, 41943, 304, 279, 3723, 4273, 374, 539, 4228, 311, 42276, 13, 1666, 75636, 38, 5068, 512, 12, 49669, 220, 1272, 4, 315, 2911, 596, 41943, 2586, 505, 3779, 70913, 323, 53808, 50127, 627, 12, 8442, 220, 1691, 4, 315, 12822, 4325, 220, 21, 12, 777, 8343, 279, 11349, 4330, 477, 810, 79049, 315, 26390, 323, 24822, 1855, 1938, 198, 2028, 374, 264, 2807, 15729, 11363, 369, 8624, 11, 323, 374, 264, 6156, 2944, 3249, 3432, 596, 6980, 527, 36659, 2753, 9498, 1109, 1690, 4972, 22540, 13, 95171, 11, 955, 220, 17, 20335, 11, 1579, 6680, 7410, 1198, 1521, 527, 19338, 430, 3131, 9922, 1193, 304, 6278, 44041, 323, 7953, 11, 719, 527, 1457, 74055, 2911, 13, 578, 549, 815, 13, 41991, 369, 31974, 7935, 323, 36947, 320, 74558, 8, 17989, 430, 555, 220, 10866, 15, 11, 832, 304, 2380, 549, 815, 13, 12884, 690, 617, 20335, 1198, 832, 315, 1124, 1436, 387, 701, 1716, 422, 499, 656, 539, 1935, 7504, 311, 9299, 704, 279, 6743, 30774, 64567, 55572, 527, 11889, 323, 4619, 4639, 1124, 9498, 12459, 26870, 627, 8238, 912, 16930, 11, 279, 50270, 527, 3815, 682, 814, 649, 311, 57683, 701, 1716, 304, 627, 644, 2144, 11, 1566, 1060, 279, 3691, 323, 43450, 5064, 7543, 810, 1109, 400, 1272, 7239, 11, 10035, 7239, 11, 47338, 21716, 2403, 14640, 430, 1053, 18979, 279, 8661, 315, 53808, 15657, 311, 6980, 13, 1472, 649, 656, 264, 2763, 315, 24613, 2277, 449, 400, 1272, 7239, 11, 902, 1253, 10552, 3249, 3691, 17032, 527, 5535, 311, 636, 3201, 449, 779, 1790, 1198, 1093, 10917, 9364, 315, 14098, 682, 927, 2027, 24066, 994, 279, 2027, 3604, 5727, 912, 14098, 627, 32, 220, 679, 16, 4007, 555, 279, 36947, 10181, 1524, 1766, 430, 220, 5833, 3346, 315, 3691, 14519, 430, 6782, 18210, 11951, 10825, 311, 1520, 1274, 5268, 39345, 15657, 1550, 539, 3449, 1524, 6913, 43226, 10886, 0, 763, 2144, 11, 220, 3226, 3346, 315, 1521, 330, 56351, 15548, 12, 2675, 1, 2911, 596, 15657, 1051, 1579, 304, 13465, 11, 220, 2721, 3346, 13282, 3779, 13465, 11, 323, 220, 1691, 3346, 13282, 21075, 8146, 13, 2100, 499, 1205, 311, 387, 1633, 55274, 994, 12096, 904, 15590, 15657, 369, 701, 6980, 11, 1524, 279, 330, 38128, 1, 6305, 11, 439, 814, 690, 1455, 7995, 6782, 3544, 15055, 315, 1448, 87873, 449, 1633, 2697, 311, 3085, 304, 279, 1648, 315, 9498, 26677, 627, 12978, 19143, 6984, 30241, 67652, 7424, 1411, 4488, 2481, 323, 15948, 3216, 369, 23338, 6, 6401, 198, 791, 36947, 10181, 596, 330, 1687, 2351, 2876, 55409, 1102, 1, 4901, 374, 20984, 287, 4900, 7250, 311, 2231, 37079, 11, 8198, 6108, 26677, 17959, 1139, 2035, 369, 5220, 430, 3157, 15657, 311, 6980, 13, 1472, 649, 1879, 420, 20984, 1457, 11, 719, 358, 33147, 499, 311, 733, 264, 3094, 4726, 323, 3009, 12899, 279, 5220, 430, 527, 8661, 30774, 15657, 311, 701, 2911, 3432, 627, 75344, 750, 11, 499, 323, 701, 3070, 690, 1390, 311, 7055, 449, 701, 18301, 2239, 323, 5766, 439, 1790, 15590, 3691, 439, 3284, 323, 1005, 653, 35122, 7257, 11, 17808, 323, 5255, 24392, 15042, 15657, 439, 1790, 439, 3284, 13, 4718, 2911, 1288, 387, 12459, 279, 1890, 88318, 15657, 499, 527, 1198, 814, 1541, 956, 1205, 10107, 32754, 23661, 477, 5655, 2269, 4588, 330, 77, 773, 19209, 1, 904, 810, 1109, 499, 656, 627, 2746 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 499, 323, 701, 6980, 527, 11112, 43770, 389, 5043, 3691, 323, 1023, 15590, 15657, 11, 499, 2351, 2133, 311, 1205, 1063, 1520, 323, 1455, 4461, 1063, 1862, 505, 4885, 323, 3070, 422, 499, 1390, 311, 10536, 279, 30774, 64567, 19433, 13, 31909, 14932, 6261, 449, 33445, 11, 1093, 34423, 1274, 11, 499, 649, 1101, 3477, 856, 4652, 330, 4438, 311, 1226, 276, 60005, 4206, 8773, 291, 40160, 304, 220, 22, 40961, 1, 477, 1373, 279, 2363, 358, 6267, 389, 279, 3917, 11, 2663, 24367, 30981, 25, 432, 51226, 44454, 11, 78188, 23338, 304, 264, 5234, 9469, 4842, 11, 67652, 7424, 1411, 4435, 627, 24901, 11, 856, 26677, 3197, 6209, 264, 3094, 14656, 30308, 8641, 311, 5510, 701, 3070, 1314, 11, 323, 358, 15253, 499, 311, 1373, 1555, 433, 1457, 13, 1472, 1205, 311, 1176, 39170, 6261, 922, 6300, 26677, 323, 279, 37064, 315, 30774, 3691, 323, 15590, 15657, 304, 2015, 311, 2349, 279, 3691, 7829, 315, 701, 4553, 3070, 13, 2057, 3041, 701, 1716, 279, 1888, 1212, 520, 2324, 11, 323, 1520, 1798, 484, 9498, 26870, 430, 690, 1566, 264, 19569, 11, 499, 2011, 3063, 555, 3187, 13, 15394, 690, 5042, 539, 1440, 902, 15657, 527, 9498, 7389, 499, 11, 439, 264, 2748, 11, 4639, 433, 311, 1124, 1176, 13, 128001, 128000, 2688, 4702, 369, 23338, 198, 791, 27690, 369, 85299, 78614, 9522, 79519, 596, 3562, 389, 279, 26486, 198, 1729, 10455, 42663, 13131, 198, 34242, 264, 19496, 11, 358, 1097, 2744, 3411, 369, 459, 18427, 13, 8155, 2046, 11, 358, 1766, 832, 627, 40, 2163, 990, 311, 733, 389, 264, 4382, 11879, 11, 719, 433, 6656, 704, 311, 387, 1790, 810, 627, 5451, 11, 358, 28129, 264, 27275, 3880, 2924, 4365, 13, 5112, 11, 358, 3782, 3663, 311, 3663, 449, 16706, 20566, 11, 11039, 311, 636, 3221, 757, 13, 358, 1524, 56224, 3566, 20481, 38960, 856, 7013, 1139, 264, 42299, 36196, 627, 9241, 1550, 358, 733, 30, 32745, 279, 33633, 11, 315, 3388, 13, 8595, 30, 358, 4934, 311, 9762, 1063, 21536, 11141, 627, 5159, 15369, 574, 1695, 430, 1938, 13, 358, 574, 3025, 311, 21930, 10283, 315, 2204, 13124, 315, 11141, 21078, 389, 279, 5015, 13, 4427, 1051, 11141, 358, 1047, 2646, 3970, 13, 4427, 1051, 2103, 6307, 11, 1418, 3885, 1051, 10223, 311, 872, 42774, 8146, 627, 12389, 499, 3596, 80269, 369, 11141, 30, 358, 5895, 422, 499, 1440, 279, 5144, 315, 4330, 315, 279, 12690, 430, 3974, 304, 701, 12818, 30, 358, 1297, 279, 4320, 374, 912, 627, 11649, 11, 757, 14188, 13, 2100, 358, 1047, 4330, 315, 279, 11141, 30239, 13, 358, 1047, 1766, 279, 11141, 505, 459, 38971, 11, 264, 387, 4842, 11, 264, 10437, 42365, 5021, 323, 810, 627, 7184, 11, 358, 22114, 499, 311, 1304, 420, 11879, 627, 45, 6172, 2547, 449, 1486, 88, 13116, 198, 45, 6172, 2547, 449, 1486, 88, 13116, 198, 11356, 3139, 63494, 198, 15571, 369, 35735, 612, 1933, 198, 18, 12742, 16312, 82, 198, 11356, 3139, 31049, 198, 2028, 374, 701, 3465, 9522, 41348, 311, 279, 5655, 11, 6453, 33633, 320, 258, 279, 53121, 8, 311, 1505, 1521, 220, 20, 11141, 13, 20223, 704, 279, 2199, 323, 1935, 433, 449, 499, 13, 7557, 2771, 499, 649, 2489, 701, 18841, 449, 10705, 13, 24241, 16312, 2902, 27421, 4999, 46960, 61434, 6664, 220, 24, 320, 806, 25, 966, 309, 7435, 39804, 16163, 323, 264, 1501, 13, 4740, 499, 8343, 50933, 14432, 612, 52441, 11, 3821, 14637, 61434, 11, 10887, 555, 279, 28351, 3341, 32005, 13, 56699, 374, 520, 38245, 26, 1501, 8638, 520, 220, 717, 25, 966, 13, 74754, 97656, 10948, 11166, 11, 4206, 76583, 13, 220, 1135, 31047, 279, 9332, 20467, 25, 220, 14487, 14, 17264, 12, 14649, 21, 627, 2460, 362, 2541, 6664, 220, 24, 612, 220, 605, 320, 17, 5298, 7435, 1163, 773, 264, 523, 773, 311, 1901, 3852, 31417, 88, 369, 5542, 2523, 13, 33249, 311, 7493, 323, 7936, 51576, 11936, 13, 8012, 701, 1866, 28788, 13, 50093, 220, 18, 50020, 1901, 3852, 31417, 88, 11, 1556, 7004, 13, 5340, 65, 13, 356, 376, 18976, 220, 14487, 14, 15999, 12, 8929, 22, 627, 86793, 350, 2469, 15128, 369, 22037, 83783, 13, 5020, 220, 717, 320, 605, 25, 966, 309, 12, 12684, 8, 14853, 12, 311, 4330, 4771, 65248, 320, 438, 872, 6822, 8, 35331, 1139, 279, 33633, 311, 6865, 42774, 7493, 11, 9762, 11141, 323, 1304, 264, 11003, 13, 40224, 264, 9145, 16163, 311, 4774, 289, 76703, 66155, 571, 6342, 596, 47524, 5657, 11, 45354, 28931, 13, 400, 18, 436, 81706, 25, 220, 4728, 14, 24939, 12, 11057, 23, 627, 6540, 67824, 30129, 304, 279, 35848, 83783, 13, 5020, 13, 220, 717, 320, 605, 25, 966, 12, 12684, 7435, 39, 3043, 449, 264, 79159, 311, 264, 33850, 304, 279, 33633, 13, 33249, 311, 42774, 7493, 323, 7172, 8369, 24149, 66155, 13, 50095, 11141, 311, 1304, 264, 11003, 13, 40224, 264, 9145, 16163, 13, 24980, 47524, 5657, 11, 45354, 28931, 25, 220, 14487, 14, 20618, 12, 20711, 22, 627, 62698, 950, 61410, 6658, 13, 5020, 13, 220, 1032, 320, 19, 12, 19, 25, 1774, 5298, 7435, 25099, 3727, 279, 1917, 733, 4883, 13, 2100, 7936, 11, 9020, 311, 7493, 323, 1514, 18273, 24198, 13, 50093, 220, 17, 12, 19, 13, 74754, 97656, 15394, 596, 16730, 11, 17772, 520, 432, 10126, 13, 400, 23, 13, 1135, 26, 436, 81706, 25, 220, 14487, 14, 15999, 12, 27309, 22, 627, 79519, 44366, 63056, 5020, 13, 220, 868, 12, 4110, 701, 7075, 7138, 6237, 704, 315, 37148, 477, 389, 5684, 311, 3243, 38508, 13, 13381, 11306, 527, 220, 18, 12, 20, 11, 220, 21, 12, 23, 323, 220, 24, 12, 717, 1667, 13, 11004, 26526, 3243, 7138, 6603, 477, 59002, 13, 2052, 1989, 7739, 11928, 13, 12040, 701, 59831, 311, 13944, 24214, 5955, 11, 1556, 7004, 69858, 63107, 5955, 25, 220, 14487, 14, 22529, 12, 22379, 20, 627, 86793, 350, 2469, 636, 304, 19898, 449, 21720, 22037, 13479, 13, 5020, 220, 845, 320, 605, 12, 605, 25, 966, 309, 340, 86793, 2458, 82, 320, 17, 12, 18, 289, 45560, 495, 8, 4048, 7138, 555, 5916, 11, 8430, 279, 1690, 2204, 198, 71130, 11413, 323, 8579, 304, 279, 1917, 2212, 603, 13, 571, 16506, 24076, 80893 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 83911, 345, 69032, 51764, 25, 220, 4728, 14, 24939, 12, 11057, 23, 627, 91, 26292, 220, 1272, 9432, 19436, 46069, 5742, 220, 1272, 198, 31294, 220, 22, 12, 1032, 11, 220, 2550, 24, 198, 3648, 9332, 8691, 198, 91, 68535, 9432, 91, 6984, 311, 38329, 765, 128001, 128000, 50199, 59517, 28353, 12302, 304, 20587, 13, 9029, 449, 20207, 28353, 617, 13693, 304, 872, 10723, 31301, 3970, 304, 3770, 78526, 11478, 320, 63050, 8, 7177, 323, 304, 872, 5845, 311, 19570, 11, 3674, 553, 11, 323, 1935, 2512, 315, 872, 18254, 3966, 13, 578, 8547, 315, 28353, 649, 13592, 505, 1732, 311, 1732, 13, 1102, 649, 387, 71974, 439, 23900, 11, 24070, 11, 15748, 11, 477, 28254, 627, 8538, 11384, 315, 20207, 28353, 649, 387, 32098, 449, 6300, 6593, 2512, 13, 15394, 29704, 449, 459, 20207, 28353, 527, 1455, 6992, 994, 814, 636, 1520, 4216, 304, 2324, 13, 1442, 499, 15562, 430, 701, 1716, 1253, 617, 459, 20207, 28353, 11, 3729, 701, 10896, 627, 35862, 7895, 11384, 315, 20207, 28353, 617, 1027, 11352, 11, 719, 1690, 527, 2103, 9987, 13, 578, 1455, 4279, 6305, 527, 512, 37196, 61860, 11384, 13239, 505, 512, 12, 3765, 8416, 21389, 28088, 505, 6699, 198, 12, 40356, 994, 21389, 16343, 11, 1778, 439, 6419, 28439, 323, 59189, 458, 1630, 28439, 198, 12, 18878, 37842, 72946, 198, 12, 6344, 57565, 4787, 11, 1778, 439, 14345, 4010, 26554, 263, 75884, 320, 23037, 52, 705, 15730, 533, 974, 91299, 1174, 323, 83066, 2223, 9950, 29671, 1607, 2191, 198, 12, 11050, 278, 8271, 35663, 488, 11, 1778, 439, 17055, 59822, 87227, 323, 8271, 8811, 1659, 198, 12, 763, 25384, 2391, 20209, 11, 1778, 439, 512, 12, 73084, 4819, 2391, 20209, 11, 1778, 439, 512, 1360, 22442, 520, 7342, 11, 1778, 439, 512, 12, 12029, 1598, 9889, 477, 3428, 7342, 4785, 198, 12, 21266, 3250, 1431, 636, 3403, 24463, 2391, 7342, 198, 12, 21266, 374, 15902, 2391, 7342, 198, 98869, 2391, 20587, 11, 1778, 439, 512, 12, 18878, 37842, 72946, 198, 12, 12799, 2136, 288, 477, 30020, 430, 7958, 279, 8271, 11, 2737, 67979, 20000, 1174, 665, 59822, 278, 20000, 1174, 16553, 79, 5241, 1174, 889, 34807, 40700, 1174, 323, 80337, 198, 12, 71866, 311, 3063, 1174, 51852, 1174, 323, 1023, 62186, 198, 12, 11452, 11134, 477, 3221, 74537, 198, 12, 9983, 9547, 11, 1778, 439, 1716, 41959, 323, 6822, 100039, 198, 12, 46945, 72946, 198, 32, 1716, 1436, 387, 520, 5190, 5326, 369, 20207, 28353, 4245, 311, 904, 315, 279, 11384, 10212, 3485, 11, 477, 4245, 311, 20207, 28353, 304, 1023, 3070, 3697, 13, 1442, 499, 527, 11920, 430, 701, 1716, 374, 520, 5326, 11, 3371, 701, 1716, 596, 10896, 627, 29012, 52273, 5101, 1603, 264, 1716, 25501, 4325, 220, 972, 13, 77417, 13592, 11911, 389, 279, 8547, 315, 279, 20207, 28353, 13, 1442, 499, 1781, 701, 1716, 706, 904, 315, 1521, 13803, 11, 656, 539, 9855, 433, 374, 4245, 311, 20207, 28353, 13, 4314, 13803, 1253, 387, 9057, 555, 1023, 11, 2753, 6129, 2890, 4787, 627, 12, 21579, 323, 11469, 810, 14297, 1109, 1023, 2911, 315, 279, 1890, 4325, 198, 12, 56046, 42247, 477, 3674, 4954, 449, 3885, 198, 12, 28636, 1109, 5578, 12483, 389, 37811, 7177, 198, 12, 81363, 6975, 304, 2978, 198, 12, 763, 2968, 311, 656, 18254, 2574, 1093, 3794, 26435, 477, 1701, 279, 15197, 2085, 1520, 198, 12, 56046, 11011, 11, 9298, 11, 11689, 11, 477, 7556, 198, 12, 763, 2968, 311, 1781, 74145, 198, 791, 2768, 11306, 527, 3629, 1511, 311, 7664, 279, 2237, 315, 20207, 28353, 512, 12, 37811, 220, 1135, 12, 2031, 198, 12, 6995, 1223, 1109, 4725, 304, 682, 5789, 198, 12, 2360, 19018, 7106, 12195, 198, 12, 3053, 4048, 15325, 7512, 198, 12, 18242, 323, 7033, 7512, 709, 311, 28711, 220, 18, 12, 21, 198, 12, 3053, 26965, 40418, 198, 12, 3053, 4048, 7446, 3465, 7512, 198, 12, 24460, 304, 8396, 198, 12, 37811, 220, 1758, 12, 2491, 198, 12, 25773, 481, 32174, 11, 8104, 8982, 198, 12, 3297, 617, 19018, 7106, 12195, 198, 12, 3053, 4048, 4382, 10758, 198, 12, 3053, 4048, 36256, 2890, 323, 7296, 7512, 198, 12, 3053, 16136, 304, 4382, 7640, 323, 659, 41206, 198, 12, 3053, 2804, 60089, 9256, 198, 12, 3053, 5944, 7636, 311, 11537, 7634, 198, 12, 37811, 220, 508, 12, 1958, 198, 12, 90462, 32174, 304, 1063, 5789, 26, 1253, 4321, 3389, 198, 12, 15013, 477, 912, 10758, 7512, 11, 719, 1063, 8830, 315, 8982, 449, 1063, 2077, 198, 12, 3053, 387, 15972, 7446, 30597, 323, 59177, 7640, 198, 12, 3297, 387, 16572, 304, 4382, 659, 41206, 198, 12, 44240, 5216, 323, 38217, 40418, 198, 12, 37811, 366, 508, 198, 12, 90462, 32174, 304, 682, 5789, 198, 12, 7409, 268, 2223, 75815, 3118, 198, 12, 44240, 3345, 38217, 198, 12, 45189, 65022, 2512, 198, 12, 3297, 6013, 311, 5912, 7106, 323, 3674, 5820, 198, 12, 2876, 13171, 315, 659, 41206, 198, 2746, 499, 15562, 701, 1716, 374, 539, 11469, 7512, 389, 892, 11, 3371, 279, 10896, 439, 5246, 439, 3284, 13, 4718, 10896, 690, 2610, 922, 701, 1716, 753, 13803, 323, 6593, 3925, 13, 362, 7106, 7151, 690, 387, 2884, 13, 12028, 1534, 7177, 1253, 387, 2728, 430, 6767, 512, 12, 22107, 51757, 48, 7177, 6767, 264, 1732, 753, 5845, 311, 656, 2574, 1778, 439, 1781, 8278, 398, 11, 4048, 11, 323, 11886, 5435, 13, 362, 1716, 1253, 617, 20207, 28353, 422, 37811, 1296, 3135, 527, 220, 2031, 477, 3770, 627, 2654, 28881, 7865, 2345, 9673, 527, 7512, 4460, 311, 734, 304, 18254, 2324, 11, 2737, 512, 12, 35455, 940, 7512, 1093, 5403, 323, 4477, 198, 12, 9983, 7512, 1093, 12014, 323, 659, 65906, 198, 12, 66736, 7512, 1093, 279, 5845, 311, 8343, 11, 1005, 279, 15197, 11, 323, 636, 26435, 198, 11800, 449, 20207, 28353, 617, 264, 5190, 5326, 369, 1023, 36801, 1778, 439, 11011, 53317, 1174, 9302, 5435, 11, 55998, 1174, 6666, 29287, 17508, 7323, 19823, 1174, 477, 30299, 40952, 34383, 4787, 13, 24086, 7649, 1253, 387, 4460, 311, 1817, 369, 1023, 4787, 627, 37310, 449, 701, 10896, 922, 279, 1888, 6514, 3197, 369, 701, 1716, 13, 31969, 374, 1455, 11190, 422, 433, 12302, 439, 4216, 439, 3284, 13, 31969, 5764, 512, 12, 23591, 21623 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15840, 369, 42534, 323, 79935, 709, 311, 4325, 2380, 198, 12, 12517, 42316, 198, 12, 11344, 4500, 4967, 11, 2737, 14604, 7512, 323, 1450, 47797, 38793, 198, 12, 9984, 6873, 7620, 198, 12, 9601, 7512, 4967, 11, 1778, 439, 20646, 3691, 11, 73509, 198, 12, 12280, 24826, 198, 12, 9983, 10708, 198, 12, 31433, 3600, 198, 1271, 1520, 8108, 701, 1716, 753, 6140, 315, 10671, 94391, 8552, 11, 1935, 279, 2768, 7504, 512, 12, 12220, 20209, 512, 12, 12522, 701, 46397, 58677, 369, 4787, 430, 1253, 8356, 20207, 28353, 627, 12, 12522, 701, 1716, 10489, 33119, 1534, 16853, 12, 24416, 5912, 21728, 311, 279, 53166, 1122, 627, 12, 5560, 1716, 7296, 16712, 323, 36086, 65720, 627, 12, 11016, 3063, 6108, 6308, 505, 701, 2162, 627, 12, 13969, 74508, 14048, 3956, 704, 315, 5662, 16853, 12, 1666, 5682, 258, 374, 539, 11349, 369, 2911, 477, 27294, 449, 264, 1510, 477, 3293, 29962, 19405, 13, 1115, 374, 1606, 315, 279, 5326, 315, 1050, 9188, 596, 28439, 1174, 902, 649, 5353, 64908, 5435, 13, 21069, 701, 10896, 902, 39653, 527, 6220, 369, 701, 1716, 627, 12, 10506, 261, 25, 432, 50463, 55757, 300, 11, 14306, 198, 12, 10506, 2696, 25, 220, 2839, 14, 679, 18, 18722, 12, 5666, 2696, 25, 220, 410, 14, 2148, 14, 679, 18, 482, 128001, 128000, 791, 12471, 78, 4029, 374, 832, 315, 279, 3682, 39503, 304, 39601, 13, 10771, 311, 279, 3925, 6603, 11, 279, 12471, 78, 34671, 10862, 39601, 304, 279, 1176, 9478, 13, 2435, 1051, 22475, 505, 91850, 323, 3782, 311, 420, 5654, 1555, 45261, 627, 791, 12471, 78, 617, 20186, 304, 39601, 369, 9214, 315, 1667, 13, 59656, 11, 814, 8272, 264, 13901, 2663, 12103, 266, 21446, 26, 2391, 279, 8013, 6037, 304, 420, 1207, 75695, 814, 3782, 311, 3771, 13, 11450, 11, 7154, 220, 1041, 3346, 315, 279, 12471, 78, 34671, 12659, 32186, 11, 3582, 264, 2478, 2103, 4510, 304, 12103, 266, 21446, 627, 45030, 437, 617, 872, 1866, 4221, 11, 46665, 875, 11, 902, 374, 6724, 2204, 505, 279, 2254, 4221, 11, 26316, 8115, 13, 46665, 1609, 706, 3892, 59570, 14, 68939, 1778, 439, 29976, 833, 11, 7867, 647, 11, 5099, 627, 791, 12471, 78, 34671, 1101, 706, 1202, 1866, 7829, 13, 11205, 8679, 11, 3691, 26870, 323, 25960, 9404, 649, 387, 6847, 39575, 505, 279, 26316, 35965, 323, 1023, 39503, 627, 791, 1274, 505, 279, 12471, 78, 34671, 617, 2204, 4519, 1109, 279, 4113, 40771, 315, 39601, 320, 33, 833, 8115, 1274, 570, 2435, 527, 264, 2697, 24210, 323, 617, 6762, 6930, 13, 11205, 6548, 323, 19689, 527, 4528, 311, 872, 38618, 505, 91850, 627, 1110, 7360, 311, 279, 1023, 40489, 5315, 11, 279, 12471, 78, 34671, 374, 2697, 11084, 304, 6873, 323, 3674, 7640, 13, 578, 1176, 12471, 78, 8993, 320, 38, 17606, 43748, 26958, 8, 574, 9749, 304, 220, 7529, 15, 13, 9176, 86316, 323, 39153, 1705, 505, 4606, 323, 4892, 5270, 6575, 4315, 279, 12471, 78, 1274, 927, 279, 11026, 627, 34242, 264, 961, 315, 264, 11469, 3224, 11, 279, 12471, 78, 4029, 1101, 47521, 505, 19542, 13, 9176, 12471, 78, 8689, 527, 62683, 315, 6873, 627, 45030, 437, 304, 279, 33889, 323, 304, 8870, 7634, 7831, 505, 6996, 315, 4335, 3090, 323, 77623, 13, 2684, 527, 1690, 33889, 1093, 480, 677, 485, 454, 324, 323, 452, 278, 93419, 969, 11, 902, 19407, 1205, 24461, 323, 6593, 13077, 627, 791, 1274, 505, 279, 12471, 78, 4029, 617, 311, 733, 311, 279, 2254, 33400, 369, 9099, 19338, 477, 15319, 13, 1789, 3682, 5435, 11, 814, 617, 311, 1935, 279, 8893, 311, 279, 6424, 11, 902, 374, 922, 220, 1758, 41668, 3201, 627, 791, 12471, 78, 617, 1193, 832, 1579, 2978, 320, 51464, 339, 1555, 220, 605, 339, 12239, 8, 449, 264, 8824, 315, 1193, 220, 3101, 2911, 13, 1115, 3109, 2978, 706, 1193, 11888, 13639, 13, 2684, 527, 1101, 1403, 6156, 8853, 304, 1884, 33889, 449, 7347, 8824, 323, 13077, 627, 791, 15316, 315, 279, 12471, 78, 1274, 527, 1903, 315, 59982, 14620, 323, 31107, 477, 25826, 77395, 13, 4427, 15316, 617, 27275, 14620, 449, 264, 15485, 315, 31107, 323, 12466, 25112, 13, 4783, 527, 11383, 220, 22, 7693, 7029, 323, 220, 975, 7693, 1317, 13, 578, 12471, 78, 1977, 872, 1866, 15316, 13, 34067, 814, 617, 1949, 12908, 304, 4156, 315, 872, 15316, 13, 2435, 2567, 46266, 11, 16553, 323, 78878, 439, 26159, 627, 38, 17606, 8689, 6118, 617, 459, 5578, 315, 1403, 311, 2380, 2911, 627, 92702, 3346, 315, 279, 12471, 78, 1274, 617, 8308, 1579, 2978, 13, 4452, 11, 279, 9861, 220, 2031, 3346, 617, 539, 26, 279, 8009, 8689, 649, 1431, 10150, 311, 3708, 872, 2911, 311, 2978, 627, 791, 3109, 315, 39601, 706, 59754, 430, 682, 2911, 649, 9604, 6156, 2978, 13, 2030, 1690, 2911, 505, 279, 12471, 78, 4029, 6068, 704, 1306, 279, 6156, 2237, 627, 791, 33142, 1274, 505, 279, 12471, 78, 4029, 990, 304, 308, 647, 26112, 278, 323, 1023, 13166, 11351, 13, 578, 66281, 12471, 78, 1274, 7380, 872, 2567, 555, 3318, 439, 1938, 9511, 388, 11, 6118, 304, 279, 19641, 5151, 369, 11888, 477, 220, 605, 4207, 7446, 627, 16892, 18386, 304, 12471, 78, 33889, 374, 11008, 477, 436, 875, 51104, 11, 5423, 369, 1317, 27650, 13, 2030, 2533, 1455, 1069, 2862, 649, 1431, 10150, 279, 436, 875, 51104, 21057, 11, 814, 4321, 13, 42392, 8437, 598, 527, 1511, 311, 6920, 11822, 627, 644, 279, 12471, 78, 7829, 11, 2225, 8762, 323, 8954, 617, 311, 990, 369, 279, 3070, 13, 578, 7185, 961, 374, 430, 279, 12471, 78, 23628, 636, 15637, 315, 279, 6012, 505, 279, 3070, 11, 264, 14135, 6724, 14329, 315, 279, 26316, 8115, 1274, 627, 791, 12471, 78, 45517, 527, 1633, 34966, 323, 2539, 315, 4731, 323, 29066, 13, 10280, 323, 33500, 527, 279, 1403, 3682, 10597, 45517, 13, 11205, 8706, 13042, 19309, 374, 2663, 29346, 6181, 627, 54, 526, 6181, 374, 279, 19309, 994, 279, 12471, 78, 9901, 4359, 369, 279, 502, 31665, 13, 1102, 5097, 2035, 1120, 1306, 279, 66747, 4261, 13, 578, 12471, 78, 10772, 281, 411, 64, 320, 35940, 29532, 61777, 705, 76657, 323, 1023, 3691, 311, 18890, 420, 13402, 13, 2468, 279, 25960, 11, 12471, 78, 7724 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10051, 872, 8776, 8679, 323, 85947, 281, 41673, 20228, 323, 9235, 20228, 449, 872, 6206, 627, 791, 8776, 8679, 315, 279, 12471, 78, 23628, 374, 2663, 67950, 7198, 64, 11, 264, 10824, 315, 264, 1317, 38380, 323, 97045, 13, 578, 342, 812, 10051, 5912, 37824, 11, 68776, 323, 21271, 72, 320, 63919, 75, 3536, 6151, 38380, 369, 3026, 4390, 791, 7075, 26863, 315, 279, 12471, 78, 527, 36167, 11, 4224, 6341, 11, 384, 301, 323, 2697, 16831, 78, 5014, 13, 2435, 1005, 264, 3361, 20278, 2663, 20774, 2850, 311, 1304, 279, 3691, 810, 58172, 52221, 13, 2435, 10772, 279, 20774, 2850, 520, 2162, 627, 1110, 6519, 290, 35915, 13539, 1716, 4500, 19169, 430, 8854, 279, 12471, 78, 1274, 2997, 25, 40410, 12, 10841, 11, 220, 16496, 11, 220, 13074, 11, 220, 7507, 11, 220, 16408, 11, 220, 17264, 11, 220, 18501, 11, 220, 18058, 11, 220, 12378, 11, 220, 14487, 11, 220, 17337, 323, 220, 17574, 13, 128001, 128000, 46233, 11888, 4038, 11, 264, 1912, 315, 2911, 2163, 7636, 449, 264, 6500, 304, 904, 4221, 690, 5662, 279, 1890, 5410, 439, 459, 5274, 19607, 304, 279, 4410, 2029, 4056, 2999, 13, 84867, 460, 22515, 969, 198, 4054, 7060, 1938, 389, 220, 1627, 6186, 220, 2550, 24, 11, 279, 14681, 28568, 520, 42601, 964, 323, 813, 2128, 3197, 311, 4170, 264, 14512, 304, 872, 5274, 7147, 24894, 311, 279, 22767, 6995, 372, 12299, 13, 2435, 4685, 264, 26662, 15987, 6500, 323, 23846, 279, 2800, 13, 1115, 6500, 3549, 9888, 436, 51660, 323, 279, 304, 5006, 1051, 30191, 13, 578, 1776, 372, 2911, 539, 1193, 4048, 6913, 6500, 7512, 719, 4639, 1023, 2911, 439, 1664, 13, 1115, 9526, 3967, 439, 279, 52029, 304, 279, 9935, 374, 279, 18841, 315, 17054, 84867, 460, 22515, 969, 13, 1283, 1101, 78718, 279, 7434, 315, 3468, 318, 750, 763, 78134, 11930, 26, 264, 10696, 351, 16035, 1234, 902, 2911, 16625, 555, 41328, 323, 14734, 1862, 4639, 5694, 323, 3885, 627, 48120, 84867, 460, 22515, 969, 1047, 2744, 1027, 61914, 449, 279, 4623, 315, 7120, 455, 79090, 6975, 323, 19002, 323, 994, 5616, 568, 2231, 433, 1139, 6725, 11, 433, 2834, 1461, 2500, 10292, 13, 1952, 7742, 11, 7552, 220, 1627, 13, 2999, 13, 22515, 969, 574, 2728, 279, 84296, 17768, 220, 679, 18, 902, 25076, 1461, 400, 16, 3610, 311, 743, 709, 813, 1866, 6975, 27692, 3196, 389, 420, 7434, 627, 9023, 13, 22515, 969, 6787, 311, 743, 709, 6975, 12908, 430, 1053, 387, 12756, 28598, 323, 14400, 505, 279, 15161, 13, 578, 38419, 690, 539, 387, 264, 11326, 477, 264, 6500, 6335, 719, 1193, 264, 7296, 323, 2890, 38419, 13, 38254, 743, 709, 304, 6890, 11, 1521, 6975, 12908, 1053, 1935, 279, 52029, 304, 279, 9935, 47893, 311, 279, 8292, 6566, 627, 9023, 13, 22515, 969, 706, 1027, 279, 14681, 68409, 520, 42601, 964, 323, 374, 5131, 17054, 315, 46945, 12053, 520, 44226, 3907, 11, 6560, 13, 2999, 13, 22515, 969, 374, 264, 13946, 315, 1054, 1692, 315, 26888, 17768, 863, 505, 32255, 369, 26888, 5114, 11, 7427, 11, 323, 1054, 27414, 38710, 17768, 863, 505, 10181, 315, 9983, 763, 31759, 11, 6560, 13, 1283, 706, 1101, 1027, 2728, 279, 1054, 35, 365, 526, 2206, 76909, 17768, 863, 555, 279, 10423, 315, 6890, 304, 18324, 369, 813, 990, 5552, 311, 52029, 3502, 10826, 13299, 543, 627, 11439, 311, 2999, 1345, 37529, 11, 279, 53243, 315, 279, 502, 4325, 1205, 1403, 2574, 13, 362, 41925, 3717, 323, 264, 11326, 311, 2559, 1203, 13, 1283, 2795, 11, 1054, 791, 33412, 5493, 1051, 2294, 25175, 13, 2435, 46036, 264, 510, 22606, 287, 60, 1887, 430, 574, 779, 22514, 430, 433, 753, 2103, 449, 603, 3432, 11, 31978, 17843, 20086, 1274, 369, 264, 5780, 430, 912, 5129, 6866, 49216, 1687, 1051, 40510, 3403, 311, 617, 8626, 13, 22515, 969, 449, 603, 304, 832, 315, 279, 468, 450, 63050, 56496, 811, 13, 1472, 649, 65878, 813, 4375, 323, 4339, 30194, 13, 17054, 22515, 969, 574, 659, 2442, 64, 3948, 323, 706, 264, 7626, 16801, 430, 3885, 649, 656, 279, 1890, 1555, 5557, 323, 279, 8191, 627, 24901, 358, 5387, 499, 449, 264, 312, 37822, 315, 279, 8712, 512, 11787, 13639, 2216, 10494, 4236, 505, 6975, 304, 279, 7528, 4325, 30, 128001, 128000, 36412, 27126, 598, 1440, 279, 8333, 315, 1317, 25126, 281, 1572, 13, 4314, 10068, 12690, 1437, 4234, 38201, 69756, 220, 2166, 3346, 2731, 1109, 872, 326, 38834, 8788, 61007, 13, 7570, 779, 11, 279, 14154, 1317, 25126, 34697, 36658, 315, 279, 4987, 527, 264, 21699, 26031, 627, 9673, 36658, 3131, 30801, 279, 5654, 11, 56886, 220, 1954, 3610, 27464, 13, 4800, 11, 814, 3504, 1120, 220, 18, 3610, 27464, 13, 1666, 1317, 25126, 39646, 61370, 11, 779, 656, 1690, 3062, 323, 52356, 9606, 11, 1093, 279, 342, 17370, 16831, 69289, 11, 902, 17631, 389, 433, 13, 578, 342, 17370, 16831, 69289, 374, 6646, 264, 2004, 42366, 9606, 304, 1317, 25126, 34697, 39646, 11, 449, 810, 1109, 220, 3101, 2204, 67861, 65216, 323, 304, 65932, 65216, 9606, 39661, 389, 7951, 1849, 44120, 555, 279, 64873, 3742, 369, 872, 10632, 627, 6720, 25126, 34697, 36658, 527, 2162, 311, 520, 3325, 220, 8259, 52356, 477, 21699, 6136, 323, 10065, 9606, 13, 763, 5369, 11, 814, 649, 6782, 439, 1690, 439, 220, 3101, 2204, 9606, 315, 5015, 3773, 11012, 824, 46323, 11, 323, 922, 220, 1399, 3346, 315, 279, 89022, 1122, 323, 64873, 458, 9606, 1766, 304, 279, 36664, 627, 2078, 6486, 753, 18955, 16607, 45435, 5475, 320, 27416, 6546, 8, 6944, 311, 15301, 1317, 25126, 36658, 311, 872, 4846, 27025, 449, 279, 1520, 315, 4363, 23840, 1093, 2582, 1729, 27839, 315, 14874, 2749, 11, 9083, 13, 578, 44454, 20585, 82, 25820, 6826, 320, 39, 10725, 47, 8, 9076, 555, 40395, 6546, 6276, 27839, 311, 10299, 813, 16615, 13656, 315, 1317, 25126, 281, 1572, 323, 279, 39139, 315, 2531, 19131, 323, 369, 1302, 4028, 279, 14653, 683, 315, 813, 3489, 607, 49793, 42982, 13, 473, 10725, 47, 374, 832, 315, 3892, 7620, 304, 279, 5507, 15489, 315, 279, 5843, 25126, 42609, 38756, 11, 264, 11888, 21395, 5149, 311, 48227, 1317, 25126, 34697, 36658, 627, 2520, 1302, 527, 5405, 3078, 11, 7160, 89770, 11, 14403, 86427, 323, 1023 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4279, 8545, 89770, 14595, 315, 279, 29538, 13952, 6558, 13, 11995, 369, 1302, 323, 2531, 19131, 3493, 10446, 10431, 323, 3504, 369, 264, 7029, 2134, 315, 30405, 627, 54, 1315, 15075, 922, 220, 17, 11, 931, 27464, 3116, 1667, 4227, 505, 264, 31100, 276, 2883, 13, 578, 4363, 38119, 1317, 25126, 281, 1572, 315, 2204, 17051, 2345, 15031, 527, 11026, 2362, 11, 1418, 3885, 527, 1120, 35735, 19342, 13, 3161, 279, 1520, 315, 40395, 6546, 11, 27839, 706, 39441, 502, 1317, 25126, 281, 1572, 1418, 4737, 2512, 315, 813, 9191, 11, 51009, 12690, 627, 32, 9498, 1317, 25126, 34697, 26031, 7612, 28961, 27176, 13, 9176, 1667, 4227, 11, 99482, 6297, 16243, 279, 1317, 25126, 18921, 11, 6968, 3691, 369, 30405, 323, 8405, 1023, 7720, 13, 2057, 1520, 10519, 420, 55883, 39646, 11, 27839, 706, 10487, 4027, 34125, 323, 24266, 704, 32031, 44154, 11, 682, 449, 40395, 6546, 529, 13291, 627, 4516, 3117, 11, 40395, 6546, 7620, 617, 9087, 15301, 220, 16, 11, 23525, 27464, 315, 1317, 25126, 281, 1572, 304, 29538, 323, 39061, 304, 32031, 44154, 389, 220, 16, 11, 19270, 27464, 13, 763, 62284, 6406, 11, 1405, 27839, 6439, 11, 220, 25289, 27464, 315, 1317, 25126, 281, 1572, 1051, 28101, 304, 220, 679, 15, 627, 60751, 13324, 5371, 6020, 13291, 369, 25976, 29711, 12659, 2737, 48114, 1317, 25126, 34697, 11, 27730, 4027, 9137, 82, 11, 31474, 32031, 20252, 323, 26991, 53354, 11012, 627, 4061, 704, 810, 29711, 7493, 389, 279, 61091, 5117, 627, 12763, 40395, 6546, 389, 6405, 13, 128001, 128000, 12608, 32331, 22100, 25, 4325, 11, 6873, 11, 3600, 198, 33246, 220, 1721, 11, 220, 2550, 24, 198, 791, 22555, 315, 15277, 25647, 6051, 6004, 1202, 990, 5457, 41579, 369, 279, 4261, 220, 2550, 23, 12, 1049, 23, 627, 8538, 315, 279, 22100, 430, 1253, 387, 3062, 311, 3821, 33831, 927, 279, 1828, 3892, 1667, 2997, 512, 12, 578, 14691, 30084, 315, 279, 9511, 5457, 13, 578, 23369, 4325, 315, 7487, 374, 28448, 311, 10205, 311, 7154, 220, 3174, 1667, 13, 2468, 430, 2237, 11, 279, 23369, 4325, 315, 279, 9511, 5457, 690, 1120, 12771, 279, 3766, 1579, 315, 220, 1272, 13, 20, 1667, 8813, 304, 220, 5162, 17, 627, 12, 578, 7982, 12939, 315, 6873, 13, 33512, 811, 430, 1397, 520, 3325, 459, 22712, 8547, 690, 2759, 369, 220, 1272, 3346, 315, 682, 2683, 6650, 704, 311, 220, 1049, 23, 11, 7863, 311, 264, 832, 58414, 4430, 315, 682, 7032, 430, 25281, 304, 220, 2550, 23, 627, 12, 578, 44592, 315, 279, 2532, 90375, 10706, 439, 264, 2592, 315, 14740, 6650, 13, 763, 279, 22343, 4261, 2345, 2550, 23, 311, 220, 1049, 23, 22416, 2532, 10706, 690, 2759, 369, 810, 1109, 220, 1954, 3346, 315, 2683, 6650, 627, 1360, 25593, 315, 279, 9511, 5457, 323, 279, 13076, 323, 65195, 18528, 315, 14740, 527, 264, 2027, 315, 279, 41952, 1322, 25593, 2068, 13, 2057, 1505, 704, 810, 11, 1518, 9908, 505, 279, 6841, 220, 2550, 24, 4360, 315, 45434, 15277, 10506, 627, 33, 17612, 315, 15277, 25647, 11, 549, 815, 13, 6011, 315, 15277, 11, 578, 12865, 596, 39794, 11, 8384, 32331, 22100, 25, 4325, 11, 6873, 11, 3600, 389, 279, 8191, 520, 1795, 1129, 2185, 960, 4835, 14489, 53100, 392, 5640, 291, 14, 2550, 24, 9809, 869, 6458, 74, 20, 56649, 2839, 24165, 320, 29968, 3297, 220, 1691, 11, 220, 679, 18, 4390, 48149, 4238, 389, 25647, 25, 5761, 1968, 198, 2028, 14002, 315, 81399, 389, 25647, 49095, 9511, 26206, 18845, 505, 220, 1049, 15, 1555, 220, 679, 15, 369, 4183, 19647, 323, 26593, 2949, 279, 2536, 66911, 2626, 10706, 315, 279, 549, 815, 13, 8752, 13, 4557, 810, 8345, 128001, 128000, 62066, 374, 7231, 279, 586, 279, 2410, 311, 11879, 1555, 279, 13238, 1887, 1701, 264, 502, 21416, 5000, 6108, 5507, 13, 578, 330, 36, 9891, 389, 279, 25450, 744, 1, 3834, 33511, 2835, 1847, 5557, 323, 22146, 828, 311, 9522, 41619, 11, 220, 2589, 6250, 220, 679, 16, 198, 2028, 374, 13524, 264, 5422, 22891, 220, 17, 71808, 3997, 482, 719, 584, 1101, 3085, 1690, 5422, 22891, 220, 16, 323, 1063, 4216, 5422, 22891, 220, 18, 7384, 13, 1115, 374, 1148, 499, 3358, 1505, 1618, 551, 578, 26063, 19645, 3857, 5727, 4382, 11, 7833, 69, 9522, 41299, 11, 220, 2705, 6250, 220, 679, 16, 198, 10031, 279, 2294, 502, 4519, 320, 333, 499, 649, 956, 1518, 279, 2835, 433, 3445, 1472, 30124, 374, 19857, 520, 701, 2978, 16715, 220, 24, 55, 83, 28412, 88, 76392, 818, 56, 3580, 3728, 4442, 449, 11026, 315, 13970, 41545, 1442, 499, 3077, 3596, 31156, 1268, 379, 9522, 41619, 11, 220, 806, 7552, 220, 1049, 24, 198, 40234, 60929, 5070, 323, 19351, 311, 24944, 75302, 4028, 279, 26150, 75306, 13, 1115, 3158, 690, 2274, 927, 279, 5108, 4038, 13, 1442, 499, 617, 904, 20126, 922, 11469, 264, 13155, 315, 990, 477, 12515, 38888, 11, 220, 972, 6790, 220, 1049, 23, 128001, 128000, 21464, 3778, 320, 10304, 19256, 8, 5333, 23874, 304, 264, 15998, 23756, 323, 48542, 5015, 14095, 42880, 13, 362, 27402, 315, 1867, 1031, 5598, 323, 9222, 2857, 323, 264, 27402, 315, 5015, 14095, 42880, 10457, 389, 704, 59295, 65712, 304, 4156, 315, 279, 5333, 13, 44710, 279, 5333, 596, 2010, 374, 264, 11033, 649, 902, 16181, 9522, 1451, 5493, 315, 4892, 5270, 313, 23658, 10027, 2324, 313, 7028, 15, 12, 7529, 15, 16016, 12233, 19256, 30507, 313, 36190, 313, 7028, 15, 12, 7529, 15, 16016, 22036, 313, 7028, 15, 12, 7529, 15, 16016, 5492, 3691, 8863, 313, 7028, 15, 12, 7529, 15, 16016, 5783, 22625, 313, 7028, 15, 12, 7529, 15, 627, 7165, 264, 8294, 2217, 323, 810, 1537, 2038, 994, 279, 7597, 86932, 927, 264, 29674, 198, 47070, 449, 2316, 198, 3627, 449, 9333, 81165, 323, 810, 7872, 198, 3461, 279, 15661, 311, 923, 477, 4148, 505, 701, 2778, 128001, 128000, 61034, 315, 47199, 3298, 320, 15599, 32, 340, 65823, 304, 220, 2550, 21, 11, 578, 16777, 315, 47199, 3298, 320, 15599, 32, 8, 47591, 6918, 18324, 315, 8485, 47451, 323, 6835, 1855, 1614, 279, 1314, 311, 26122, 18324, 315, 1890, 27119, 11103, 21746, 11136, 555, 1023, 5415, 13, 578, 1180, 1587, 539, 48486, 5415, 505, 10923, 8485, 47451, 11, 719, 14188 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1587, 433, 12611, 349, 5415, 311, 15641, 279, 8485, 47451, 505, 1023, 5415, 13, 1789, 279, 1176, 892, 304, 3925, 11, 279, 6918, 3109, 19170, 11103, 304, 279, 3298, 439, 264, 330, 6564, 11552, 1990, 832, 893, 323, 832, 5333, 439, 10177, 323, 7555, 1359, 323, 32080, 374, 4613, 439, 330, 64, 1732, 315, 279, 14329, 1877, 889, 374, 264, 10177, 477, 264, 7555, 1210, 2947, 38132, 430, 656, 539, 5052, 420, 4096, 527, 539, 17446, 369, 904, 7720, 9076, 555, 279, 6918, 3109, 627, 2520, 4497, 8245, 389, 18542, 32, 11, 1518, 10092, 99256, 66550, 389, 279, 99983, 12411, 16777, 315, 47199, 3298, 13, 128001, 128000, 8193, 26673, 4029, 5070, 25, 362, 40806, 5149, 198, 12, 15957, 220, 22, 13, 45377, 323, 21579, 14967, 95504, 12, 4973, 94938, 304, 220, 19, 339, 24749, 25, 362, 3959, 41419, 19723, 5659, 29508, 13148, 323, 88573, 578, 91867, 94985, 13, 432, 1009, 70, 2201, 11, 763, 10333, 26, 25317, 7211, 11, 8096, 26, 48677, 11, 17530, 72, 26, 26441, 13884, 89, 11, 19475, 443, 10139, 315, 45377, 304, 28479, 11930, 26, 29185, 1049, 16, 11, 11119, 13, 220, 508, 26292, 220, 19, 11, 281, 14648, 198, 14139, 288, 389, 279, 4096, 315, 30215, 19959, 26411, 1701, 32887, 13356, 13, 14727, 1728, 315, 279, 2262, 11, 7754, 323, 6975, 26, 48698, 315, 279, 62129, 828, 26, 59776, 315, 279, 1579, 12, 2968, 323, 3428, 12, 2968, 1912, 627, 12, 578, 6975, 14110, 25, 3700, 2454, 520, 279, 89785, 13, 507, 47055, 276, 290, 11, 32618, 443, 12332, 9304, 10563, 26, 1721, 14, 717, 14, 3264, 11, 11119, 13, 220, 605, 26292, 220, 717, 11, 281, 19, 198, 7271, 37400, 13, 18149, 389, 279, 6541, 902, 706, 22763, 304, 6873, 304, 279, 3723, 4273, 11, 21760, 389, 430, 2349, 304, 4029, 31252, 13, 3639, 420, 6541, 22763, 15453, 439, 26, 2650, 1063, 37643, 32971, 420, 6541, 26, 14998, 369, 927, 4317, 12549, 279, 18112, 315, 6873, 627, 12, 37957, 13, 74813, 11, 31033, 26, 12201, 11, 32207, 26, 26952, 11, 17520, 443, 12332, 9304, 10563, 26, 2589, 14, 1544, 14, 3264, 11, 11119, 13, 220, 605, 26292, 220, 1627, 11, 281, 20, 198, 47, 9773, 3892, 11302, 505, 50794, 389, 279, 6975, 14110, 13, 45635, 449, 5575, 6975, 26, 55340, 315, 279, 27375, 315, 12917, 26, 9365, 369, 323, 10652, 922, 6975, 31252, 627, 12, 3639, 596, 701, 6975, 1742, 30, 443, 9303, 6401, 220, 16, 26, 18544, 4161, 220, 16, 315, 220, 17, 11, 11119, 13, 220, 508, 26292, 220, 17, 11, 281, 1419, 198, 5001, 56236, 264, 8205, 315, 6975, 9404, 13, 20796, 6975, 26, 362, 4269, 6975, 26, 86805, 6975, 26, 53300, 315, 264, 11326, 5594, 16685, 10430, 389, 6975, 9404, 627, 12, 578, 38266, 13, 5929, 11, 21393, 21116, 443, 9052, 10170, 24423, 26, 21, 14, 845, 14, 3264, 11, 11119, 13, 220, 1954, 26292, 220, 6860, 11, 281, 33, 17, 198, 96609, 3754, 10015, 82, 5552, 311, 6975, 13, 480, 31215, 916, 11, 264, 3566, 2816, 430, 5825, 16166, 47044, 2038, 26, 12589, 389, 279, 15394, 596, 58984, 13492, 26, 30890, 9304, 315, 5277, 9473, 2068, 449, 473, 73803, 31253, 17979, 9304, 304, 23315, 26, 79073, 311, 4639, 13901, 304, 264, 586, 1579, 2978, 304, 28326, 7304, 9522, 12, 33365, 323, 342, 2074, 6975, 13, 445, 395, 278, 483, 11, 10455, 469, 16016, 31053, 11, 44069, 445, 13, 443, 10139, 315, 57708, 36673, 13, 21579, 11, 14171, 612, 356, 31756, 26, 18820, 2550, 23, 11, 11119, 13, 220, 1187, 26292, 220, 16, 11, 281, 8929, 198, 47, 9773, 2038, 389, 264, 4101, 315, 7978, 902, 5039, 430, 17632, 374, 6532, 304, 5699, 6975, 13, 12589, 389, 279, 21896, 26, 18591, 315, 279, 21896, 26, 36613, 389, 279, 21896, 627, 12, 22648, 4442, 304, 17508, 76, 98575, 4028, 4216, 323, 3389, 7177, 26, 362, 12976, 45096, 19440, 2759, 13, 4584, 41686, 11, 4488, 362, 16016, 20832, 11, 47431, 362, 16016, 1254, 1224, 276, 11, 20462, 445, 13, 443, 10139, 315, 57708, 36673, 13, 21579, 11, 14171, 612, 356, 31756, 26, 18820, 2550, 23, 11, 11119, 13, 220, 1187, 26292, 220, 16, 11, 281, 11908, 198, 47, 9773, 2038, 389, 21896, 902, 12793, 20492, 14592, 505, 432, 2056, 3924, 3935, 11, 323, 386, 885, 1345, 66, 41686, 596, 72283, 45096, 19440, 2759, 315, 17508, 76, 98575, 13, 6872, 2508, 315, 279, 21896, 26, 18591, 315, 279, 21896, 26, 36613, 389, 279, 21896, 627, 12, 88654, 2436, 315, 37015, 7471, 389, 8668, 6975, 323, 8481, 25, 18149, 389, 125420, 1565, 320, 2550, 20, 89612, 21414, 483, 88, 11, 11291, 14337, 443, 10139, 315, 57708, 36673, 13, 21579, 11, 14171, 612, 356, 31756, 26, 18820, 2550, 23, 11, 11119, 13, 220, 1187, 26292, 220, 16, 11, 281, 11727, 198, 34976, 343, 988, 279, 31178, 430, 2225, 279, 6275, 2015, 315, 4455, 323, 872, 37015, 7471, 10383, 279, 5419, 13340, 315, 264, 8668, 323, 8617, 10383, 1202, 4048, 2968, 13, 6872, 2508, 315, 279, 8990, 26, 18591, 315, 279, 8990, 26, 36613, 389, 279, 8990, 627, 12, 91801, 701, 1716, 4048, 13, 443, 20449, 1625, 65082, 1625, 596, 22168, 26, 5005, 4161, 11, 11119, 13, 220, 2096, 26292, 220, 23, 11, 281, 1958, 198, 50, 3884, 82, 12823, 311, 15253, 6975, 304, 2911, 13, 57204, 315, 5403, 555, 6376, 709, 264, 2162, 6875, 26, 350, 6427, 315, 3070, 7493, 26, 30155, 449, 13639, 13, 128001, 128000, 793, 24801, 25, 45480, 11, 356, 13, 432, 13, 80850, 47242, 25, 5896, 82524, 13, 356, 1112, 9607, 946, 1958, 13, 1682, 12, 1958, 4149, 17890, 555, 735, 5633, 432, 1982, 1764, 4506, 11, 19685, 555, 3842, 5355, 24100, 383, 320, 53773, 7678, 8267, 11, 1795, 1129, 99865, 69979, 2726, 15549, 14, 4390, 793, 48771, 62879, 25, 4149, 17890, 555, 735, 5633, 432, 1982, 1764, 4506, 323, 3842, 5355, 24100, 383, 11, 51479, 555, 5355, 24100, 383, 323, 26952, 48063, 220, 16, 13, 679, 16, 13, 46916, 17, 198, 28892, 25, 1115, 2246, 11, 961, 315, 279, 7928, 12624, 2246, 24306, 555, 45480, 2391, 279, 45640, 315, 279, 2893, 33774, 11, 374, 5439, 10213, 304, 27513, 13, 24079, 992, 8554, 527, 1618, 18751, 1139, 279, 1495, 627, 9597, 532, 18210, 1511, 304, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46940, 512, 12144, 638, 1495, 60, 364, 15031, 1495, 6, 374, 459, 28144, 37027, 198, 12144, 638, 1495, 60, 364, 15031, 1495, 6, 374, 279, 87015, 3149, 5403, 315, 459, 55861, 3492, 477, 21765, 198, 12144, 638, 1495, 60, 364, 15031, 1495, 6, 374, 264, 4096, 315, 264, 3492, 477, 21765, 430, 4250, 387, 1380, 17890, 198, 27, 871, 3492, 1161, 8, 14763, 198, 27, 15031, 1495, 29, 364, 15031, 1495, 6, 374, 264, 4096, 315, 264, 14763, 3492, 477, 21765, 198, 1199, 304, 2678, 2579, 3381, 374, 264, 94680, 477, 8554, 3779, 555, 279, 29846, 627, 697, 8723, 2041, 449, 279, 8041, 315, 279, 42319, 1233, 315, 24562, 3907, 11896, 323, 12656, 473, 2249, 3258, 45480, 627, 45, 3185, 315, 11188, 13, 20388, 12989, 894, 13, 2001, 73000, 902, 499, 17782, 520, 264, 5710, 2237, 14733, 11, 1790, 18255, 612, 4018, 709, 555, 348, 543, 552, 832, 3185, 34310, 311, 279, 1023, 13, 107216, 2028, 14733, 25501, 709, 311, 279, 4579, 315, 1403, 35231, 12264, 112, 374, 3970, 42949, 311, 279, 4410, 12, 1637, 13, 311, 279, 13692, 13, 612, 4987, 315, 510, 86799, 27218, 543, 2237, 30164, 9518, 9863, 315, 2007, 4363, 13, 2001, 9960, 449, 42623, 315, 4247, 12989, 894, 13, 107216, 408, 1752, 36680, 11, 612, 1063, 4251, 52255, 13, 1069, 6194, 645, 1618, 279, 1404, 315, 432, 57147, 719, 67170, 1890, 3460, 2001, 682, 3090, 1437, 474, 819, 11, 810, 477, 2753, 13, 650, 510, 33, 63218, 5787, 374, 433, 28786, 904, 12290, 3090, 315, 2362, 9581, 30, 763, 832, 34681, 11, 902, 574, 5655, 11, 1070, 574, 264, 41394, 315, 12290, 902, 96858, 279, 8375, 37529, 645, 810, 311, 279, 4892, 13, 2001, 650, 13, 11197, 27236, 13, 2001, 1952, 279, 1579, 14733, 11, 1070, 527, 5315, 315, 1690, 44054, 21078, 12314, 3871, 11, 612, 2917, 13610, 4832, 11, 13126, 198, 327, 12313, 311, 9282, 13, 2001, 7281, 616, 6043, 13, 612, 3092, 1678, 355, 449, 12745, 13, 2001, 320, 25030, 439, 1561, 23542, 8, 539, 9960, 449, 19371, 12328, 2411, 13, 2001, 3293, 9581, 5353, 315, 22562, 1429, 13, 2001, 358, 1288, 13085, 42623, 198, 605, 220, 508, 477, 220, 966, 7693, 12314, 11, 369, 24923, 420, 1070, 8111, 264, 4251, 13, 10241, 548, 78, 12, 68539, 37148, 2001, 37148, 1216, 9462, 11046, 304, 8579, 13, 30164, 28036, 13, 3970, 304, 348, 543, 552, 520, 4579, 315, 220, 17, 25964, 13, 2001, 1890, 439, 8582, 4950, 520, 1561, 9332, 612, 432, 13, 921, 455, 266, 13, 2001, 16853, 17, 25964, 2001, 3428, 2134, 315, 4247, 12989, 894, 13, 8965, 30164, 3460, 315, 32703, 125887, 612, 1633, 69063, 398, 64568, 1534, 13, 650, 482, 482, 482, 482, 2001, 58184, 13, 2001, 17251, 1664, 64568, 1534, 13, 612, 279, 3485, 3460, 682, 31965, 3871, 13, 2001, 20388, 12989, 894, 15246, 555, 348, 543, 552, 67170, 9960, 709, 555, 279, 10241, 548, 78, 12, 9462, 11046, 4950, 13, 107216, 7131, 1521, 35231, 709, 38435, 525, 13, 279, 6617, 198, 2788, 477, 96710, 4234, 449, 433, 5380, 1966, 12290, 3185, 13, 11413, 4247, 12989, 42426, 13, 320, 64, 4251, 8205, 1890, 439, 304, 41980, 13863, 31965, 449, 279, 2579, 3460, 36434, 2001, 98520, 689, 7091, 1633, 4247, 12989, 50308, 8205, 13, 107216, 33, 1138, 64345, 13, 922, 220, 20, 8931, 389, 328, 13, 31284, 13, 2001, 220, 5894, 7693, 1579, 13, 107216, 28969, 819, 68539, 37148, 13, 1376, 264, 4950, 922, 220, 1272, 7693, 1579, 13, 107216, 417, 1690, 3544, 297, 22604, 5423, 304, 4827, 961, 13, 2001, 89382, 32971, 555, 8877, 1018, 6985, 13, 2001, 612, 1690, 3544, 1676, 3074, 13, 2001, 1063, 393, 440, 729, 25, 320, 64, 650, 9218, 13, 79347, 64990, 320, 11, 902, 358, 1436, 539, 4546, 2162, 570, 44710, 420, 38883, 4950, 315, 42623, 13, 2001, 1584, 315, 25768, 16600, 13, 2001, 15903, 77289, 2294, 2237, 14733, 11, 1890, 439, 279, 18671, 11, 449, 4251, 10241, 548, 78, 1355, 438, 11046, 13, 902, 374, 3485, 2237, 315, 42623, 4950, 13, 2001, 15636, 42623, 14861, 2294, 93334, 304, 4827, 6617, 28036, 13, 107216, 47439, 709, 4987, 3002, 315, 65505, 13, 3449, 1690, 36680, 315, 20388, 12989, 894, 13, 2478, 8931, 7953, 13, 4673, 276, 16833, 13, 10951, 13, 358, 15203, 1139, 279, 29958, 1070, 9922, 311, 387, 1579, 2007, 4363, 2949, 13, 719, 433, 2216, 574, 539, 30576, 994, 25735, 13, 2001, 574, 9960, 449, 42623, 13, 612, 24306, 315, 10241, 548, 78, 1355, 438, 11046, 26, 27639, 15785, 315, 19371, 12328, 2411, 627, 1962, 1457, 36977, 612, 574, 348, 543, 552, 2133, 11226, 38883, 30740, 320, 8370, 527, 15246, 8, 315, 20388, 12989, 894, 617, 1027, 4018, 1555, 13, 2001, 31494, 1618, 13, 671, 10241, 13, 9462, 11046, 28129, 47253, 5304, 9578, 88, 20388, 12989, 894, 320, 15573, 13, 220, 20744, 570, 107216, 5, 574, 9960, 555, 15792, 4950, 315, 58139, 3715, 788, 9462, 11046, 25, 2001, 520, 6000, 488, 315, 279, 65505, 11, 7091, 1207, 4763, 989, 78292, 612, 77933, 34681, 1455, 44077, 69036, 13, 2001, 832, 3185, 34681, 15187, 1081, 11627, 449, 44106, 315, 220, 1041, 7693, 198, 29844, 4365, 9568, 13, 16946, 287, 7060, 27275, 389, 279, 7091, 1790, 1069, 6194, 645, 25, 304, 3388, 315, 15140, 832, 293, 38734, 315, 6307, 11046, 13, 2001, 1102, 374, 3738, 430, 5353, 1790, 810, 16806, 198, 54895, 1457, 3073, 13, 2011, 617, 31532, 13, 1778, 439, 11119, 4919, 7217, 13, 320, 12828, 1137, 28036, 315, 42623, 5039, 1890, 3245, 570, 612, 279, 14733, 358, 1781, 7612, 1890, 3044, 13, 107216, 1688, 279, 1633, 2010, 5602, 9518, 4251, 2007, 4363, 13, 107216, 5176, 19383, 389, 420, 3185, 315, 12404, 10951, 13, 1633, 23649, 512, 266, 1176, 279, 4827, 961, 374, 8965, 810, 64568, 483, 1778, 439, 13, 320, 21598, 570, 2001, 1243, 4131, 264, 9462, 11046, 449, 2678, 1069, 6194, 645, 13, 2001, 20388, 12989, 894, 3411, 1093, 503, 33361, 13, 2001, 810, 9462, 11046, 13, 2001, 9462, 11046, 7170, 14090, 88751, 349, 2001, 320, 12840, 1069, 6194, 645, 48366, 2001, 15483, 23902, 439, 320, 21598, 8, 1522, 1139, 2579, 7091, 13, 2001, 44710, 279, 9462, 11046, 11, 539, 7621, 19180, 43459, 88, 4950, 13, 2001, 2209, 433, 1890, 439, 1579, 4363, 30, 107216, 3947, 527 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1690, 14282, 12841, 13, 832, 4401, 320, 31929, 469, 4031, 36434, 2001, 3234, 814, 4018, 279, 43459, 13, 2001, 4610, 460, 42408, 13, 468, 555, 328, 24522, 1455, 4279, 13, 2001, 12838, 279, 43459, 24522, 30, 1322, 15750, 315, 28036, 30, 7138, 315, 16757, 2007, 4363, 13, 949, 2001, 8375, 91550, 13, 949, 107216, 35, 575, 30, 28636, 23902, 30, 11697, 1070, 1027, 1403, 96710, 402, 1147, 30, 662, 2033, 2134, 315, 2007, 4363, 11, 4827, 220, 1135, 477, 220, 1399, 7693, 3485, 9581, 13, 2001, 5190, 1063, 7895, 13, 612, 1063, 8931, 4726, 1203, 18976, 43048, 12841, 198, 454, 13921, 4673, 276, 42747, 10951, 13, 46676, 11046, 31965, 1234, 4247, 12989, 894, 13, 107216, 38, 10602, 42747, 10951, 11245, 9998, 31965, 304, 20388, 12989, 894, 13, 510, 4991, 3068, 933, 791, 4247, 12989, 894, 7091, 374, 3629, 76304, 788, 11, 42408, 398, 26365, 630, 627, 9673, 1403, 35231, 527, 24306, 315, 279, 79533, 660, 4247, 12989, 894, 13, 2001, 578, 2294, 14733, 11, 520, 279, 4579, 315, 1403, 35231, 11, 374, 8965, 9960, 555, 10241, 548, 788, 320, 10513, 15, 8, 68539, 8579, 9462, 11046, 13, 2001, 7170, 433, 374, 539, 10241, 548, 788, 220, 24487, 5538, 570, 2001, 420, 5084, 311, 10457, 927, 264, 3460, 315, 37148, 13, 12290, 12945, 320, 8781, 315, 12290, 3090, 10380, 20932, 66266, 320, 11247, 18, 13, 220, 11247, 19, 8, 902, 5727, 13931, 315, 7060, 64568, 25, 88680, 13, 2001, 433, 374, 35977, 430, 279, 297, 22604, 28036, 9352, 311, 420, 14733, 26, 8051, 539, 1027, 389, 10411, 3185, 627, 791, 4987, 32817, 64345, 320, 40, 5602, 13, 4448, 220, 19, 339, 8, 527, 59988, 44397, 1908, 26, 279, 37148, 4950, 374, 4376, 279, 26839, 315, 44106, 13, 2001, 279, 42623, 1023, 4376, 612, 279, 44106, 922, 320, 1490, 7693, 8, 477, 2753, 1109, 8502, 279, 4459, 2134, 11, 1579, 14733, 11, 1405, 584, 617, 3970, 35315, 13, 9462, 11046, 13, 2001, 578, 17808, 8625, 11, 304, 279, 4950, 612, 279, 88680, 304, 8582, 961, 1501, 433, 311, 387, 315, 1890, 4325, 439, 2294, 800, 3926, 4950, 13, 2001, 12299, 7191, 1404, 13, 2001, 8877, 1018, 6985, 810, 12387, 13, 2001, 719, 3686, 1890, 4689, 4668, 13, 2001, 279, 10241, 13, 9462, 11046, 8111, 311, 387, 279, 1890, 439, 13980, 3485, 297, 22604, 28036, 520, 432, 921, 455, 266, 612, 1561, 9332, 13, 107216, 1966, 279, 107216, 791, 220, 17, 612, 220, 23, 510, 321, 1978, 60, 86949, 198, 67584, 9909, 315, 279, 8448, 527, 22999, 11, 814, 527, 16168, 24306, 315, 282, 789, 31189, 292, 7091, 11, 719, 25631, 612, 1522, 1139, 1855, 1023, 92947, 18007, 13, 107216, 791, 4279, 23902, 527, 4251, 2653, 282, 789, 31189, 292, 320, 22768, 13, 220, 24938, 13, 220, 25136, 6266, 2435, 8965, 2800, 389, 1778, 439, 2579, 11, 2653, 13, 4247, 12989, 894, 320, 25513, 570, 2001, 902, 23781, 9221, 810, 64568, 483, 439, 320, 24375, 570, 2001, 2684, 527, 912, 13693, 311, 1521, 7064, 811, 612, 47869, 13, 13596, 8530, 1524, 810, 44611, 7091, 264, 4279, 282, 789, 31189, 292, 7091, 220, 10513, 24, 11, 1405, 279, 20789, 32659, 315, 1633, 2678, 18460, 1069, 6194, 645, 36862, 279, 1957, 315, 3090, 13, 2001, 420, 374, 9960, 555, 1778, 320, 25513, 13, 220, 22644, 13, 220, 10513, 23, 2579, 4247, 12989, 894, 25, 503, 33361, 4247, 12989, 894, 11, 4251, 510, 321, 1978, 60, 5762, 13, 7091, 220, 11247, 20, 220, 10680, 15, 570, 2001, 578, 198, 13066, 810, 4279, 16757, 4950, 374, 264, 7091, 11, 71707, 58139, 3715, 788, 9462, 11046, 11, 719, 2216, 264, 8579, 9578, 88, 12056, 4251, 12314, 4950, 449, 19252, 315, 52255, 13, 21933, 398, 71707, 10241, 548, 788, 5030, 13, 439, 320, 10680, 16, 13, 220, 11515, 20, 570, 5112, 279, 4251, 612, 2579, 11, 7060, 1099, 2692, 11, 653, 5192, 599, 543, 1534, 282, 789, 31189, 292, 7091, 13, 107216, 2148, 92965, 510, 10399, 933, 791, 12745, 287, 5030, 315, 279, 2579, 36680, 11, 3629, 3115, 259, 41499, 279, 4251, 315, 264, 36301, 18718, 7170, 304, 5238, 13, 2001, 520, 1023, 3115, 11, 304, 264, 16600, 3857, 627, 258, 28029, 29760, 612, 15638, 21562, 315, 4251, 12446, 304, 279, 35446, 315, 279, 2579, 13, 2001, 650, 22999, 13633, 389, 264, 2678, 5569, 13, 107216, 28055, 3857, 690, 41468, 198, 91, 35, 575, 42174, 8651, 35, 575, 45778, 54, 7511, 91, 16, 8651, 21161, 1093, 220, 8953, 18, 13, 2085, 3090, 5238, 8651, 8953, 18, 83532, 4908, 8, 7511, 91, 17, 8651, 25030, 439, 220, 18, 719, 1790, 1080, 10642, 8651, 11247, 23, 7511, 91, 18, 83532, 10680, 16, 8, 1093, 58560, 8651, 11247, 22, 7511, 91, 19, 8651, 11515, 19, 320, 4908, 45046, 10513, 22, 320, 4908, 8, 7511, 543, 1890, 97604, 198, 91, 11247, 22, 8651, 10513, 22, 13, 220, 10513, 23, 8651, 11515, 17, 13, 220, 11515, 18, 8651, 4908, 8651, 10680, 15, 7511, 91, 11247, 23, 8651, 10513, 24, 13, 1093, 8651, 11515, 19, 1093, 7511, 1030, 10642, 8205, 449, 1069, 6194, 645, 198, 91, 10680, 16, 8651, 10967, 21, 13, 220, 10967, 20, 8651, 37440, 20396, 7511, 61116, 11515, 19, 13, 220, 10513, 24, 1093, 45046, 10967, 22, 7511, 91, 10967, 23, 8651, 7574, 398, 49341, 1906, 439, 304, 435, 7511, 9673, 23902, 527, 30517, 291, 555, 14282, 12841, 13, 315, 902, 358, 1766, 2380, 627, 16, 267, 1047, 1524, 11314, 11, 7833, 612, 12414, 612, 24306, 315, 279, 1890, 20278, 439, 279, 14932, 3148, 11, 902, 574, 320, 10513, 24, 705, 279, 8792, 5596, 13, 1051, 43327, 291, 2579, 13, 2001, 2011, 387, 95159, 554, 10409, 709, 13, 107216, 791, 1403, 3885, 1051, 12414, 11, 1633, 16831, 9373, 612, 2643, 387, 51400, 369, 1317, 6138, 13, 107216, 275, 279, 220, 17, 67, 574, 24306, 315, 23902, 1778, 439, 220, 10680, 17, 612, 220, 11515, 17, 26, 922, 264, 4579, 12314, 2001, 358, 1436, 539, 45493, 433, 29852, 279, 23902, 13, 2001, 433, 4018, 22999, 11742, 7138, 198, 543, 279, 28036, 11, 13365, 484, 36126, 3939, 279, 9578, 88, 282, 789, 78984, 11, 1093, 220, 10680, 16, 612, 3885, 2555, 1093, 220, 8953, 18, 13, 107216, 18, 67, 612, 8617, 510, 9462, 60, 304, 264, 8014, 612, 13692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3388, 459, 469, 612, 468, 3388, 13, 2001, 279, 220, 18, 67, 14282, 441, 574, 24306, 315, 7091, 320, 11515, 15, 8, 449, 1790, 296, 3074, 612, 10837, 328, 612, 452, 2001, 264, 2678, 14282, 441, 315, 420, 7138, 4018, 1555, 14282, 441, 220, 17, 67, 13, 107216, 644, 832, 477, 1403, 7634, 1070, 527, 88751, 349, 28036, 24923, 1778, 23902, 439, 220, 10513, 24, 13, 2001, 220, 11515, 17, 13, 220, 11515, 18, 13, 220, 5728, 11, 2744, 315, 264, 6453, 2579, 12745, 13, 2001, 814, 527, 24306, 315, 1069, 6194, 645, 315, 264, 1404, 315, 9462, 311, 430, 315, 264, 50334, 2010, 13, 2001, 578, 1069, 6194, 645, 527, 315, 7701, 64568, 483, 4247, 764, 404, 552, 1778, 439, 656, 539, 1457, 3073, 3221, 1618, 13, 2001, 2435, 617, 1027, 54568, 304, 11295, 1510, 13, 505, 279, 44397, 2461, 11, 4689, 24522, 315, 28036, 1890, 439, 13783, 13, 2001, 5659, 420, 612, 1778, 57749, 439, 320, 11256, 18, 8, 449, 3090, 5238, 358, 32194, 682, 1521, 23902, 617, 1027, 14454, 1234, 3090, 13, 2001, 1442, 358, 1047, 1193, 3970, 264, 3857, 1778, 439, 435, 13, 358, 1288, 617, 3463, 320, 11515, 22, 8, 1047, 1027, 50459, 612, 44033, 927, 279, 38279, 23902, 13, 2001, 810, 5423, 439, 279, 49341, 374, 10284, 304, 55015, 13, 2001, 33739, 6371, 315, 220, 11515, 24, 374, 1102, 2011, 387, 279, 1890, 369, 682, 4247, 764, 404, 552, 220, 9892, 19, 1198, 220, 2137, 13, 369, 1405, 3857, 435, 374, 26, 279, 86949, 842, 612, 2294, 4247, 12989, 50308, 18488, 12302, 315, 902, 320, 11515, 22, 8, 3118, 304, 9434, 1376, 612, 7138, 264, 1695, 955, 13, 2001, 14968, 358, 4250, 1781, 23902, 1778, 439, 220, 8953, 16, 13, 902, 1522, 1139, 220, 11515, 20, 13, 612, 1778, 11, 220, 11515, 18, 2637, 13, 220, 11515, 19, 13, 902, 10457, 927, 23902, 315, 66300, 788, 6371, 1778, 23902, 439, 220, 11515, 18, 12579, 1139, 13, 220, 10513, 24, 612, 1522, 1139, 1855, 1023, 612, 25631, 2085, 13160, 2349, 649, 42210, 872, 33472, 311, 1778, 2204, 11384, 439, 6785, 612, 10164, 627, 9817, 435, 374, 7185, 11, 1405, 20388, 12989, 894, 220, 11515, 22, 97604, 1139, 279, 9581, 627, 40, 3463, 433, 46959, 311, 279, 2134, 315, 35231, 4920, 279, 11246, 2001, 433, 574, 1193, 520, 1202, 704, 35247, 13, 358, 5602, 433, 927, 6852, 1778, 23902, 439, 220, 11515, 23, 13, 220, 11515, 24, 6266, 612, 1023, 1080, 10642, 36680, 449, 2678, 1069, 6194, 645, 1778, 439, 320, 10513, 24, 570, 2001, 578, 24522, 374, 1618, 468, 452, 468, 13, 2001, 902, 374, 19018, 612, 433, 374, 279, 1486, 315, 264, 23556, 477, 23542, 612, 69544, 315, 279, 198, 15930, 64230, 23902, 13, 107216, 791, 4689, 24522, 315, 682, 279, 3485, 23902, 374, 45778, 54, 13, 2001, 719, 539, 30357, 26, 279, 44397, 2461, 374, 304, 78466, 33452, 56507, 627, 266, 56147, 520, 922, 220, 868, 11877, 13, 107216, 40, 14000, 1618, 279, 1890, 2144, 439, 520, 279, 72564, 8329, 32125, 704, 35247, 4920, 704, 35247, 2085, 88143, 75, 992, 5238, 13, 107216, 58, 4991, 3068, 315, 88143, 75, 992, 5238, 933, 91823, 220, 10680, 15, 220, 11515, 20, 198, 5902, 510, 321, 1978, 60, 220, 8953, 16, 220, 10680, 15, 198, 11515, 19, 3816, 510, 321, 1978, 60, 220, 10513, 24, 198, 10680, 16, 58560, 612, 435, 1823, 13, 220, 8953, 16, 198, 40, 1253, 5406, 430, 1376, 315, 57511, 17715, 34008, 449, 44397, 2461, 13, 65505, 4401, 311, 279, 328, 13, 315, 468, 612, 469, 13, 107216, 644, 279, 6460, 315, 279, 11246, 11, 1405, 279, 12168, 81560, 617, 37965, 4588, 497, 2001, 578, 2768, 23902, 527, 9621, 13, 107216, 8953, 17, 2001, 2345, 311, 220, 11739, 16, 13, 2001, 902, 3371, 2555, 1093, 1890, 24162, 439, 3857, 435, 13, 48850, 13, 430, 20388, 12989, 894, 320, 8953, 19, 8, 320, 8370, 374, 961, 315, 1890, 4950, 449, 320, 11739, 15, 25, 220, 11739, 16, 8, 612, 902, 2997, 279, 12717, 36680, 304, 279, 3224, 13, 15812, 927, 23902, 315, 264, 1633, 9578, 88, 7138, 11, 7170, 5115, 8579, 13, 612, 1633, 17037, 32393, 449, 16600, 477, 64211, 58139, 3715, 788, 5238, 13, 439, 304, 9462, 11046, 11, 67170, 14454, 304, 3090, 13, 107216, 9673, 220, 21, 23902, 12446, 2085, 904, 6449, 349, 2015, 612, 1522, 1139, 1855, 1023, 13, 107216, 791, 21765, 315, 20388, 8671, 894, 220, 8953, 19, 13, 374, 3738, 13, 279, 79533, 660, 8205, 220, 11739, 16, 13, 13980, 520, 1948, 315, 4950, 13, 2001, 902, 8111, 311, 387, 1202, 4279, 2361, 13, 2001, 4314, 28036, 320, 4406, 12989, 894, 8, 304, 55015, 24522, 311, 74573, 520, 12264, 254, 220, 605, 11877, 320, 269, 922, 570, 1457, 814, 2800, 198, 263, 328, 3185, 315, 2294, 20388, 12989, 894, 2134, 13, 4920, 279, 11246, 13, 107216, 2028, 2134, 8640, 922, 469, 4031, 612, 468, 17268, 477, 8014, 612, 468, 13, 902, 1584, 8738, 17503, 311, 279, 4987, 315, 279, 86949, 13, 612, 9093, 872, 6463, 700, 398, 24522, 374, 11497, 555, 1584, 315, 9349, 8738, 11, 8051, 912, 5150, 35231, 527, 9124, 627, 791, 2768, 13363, 527, 358, 1781, 19168, 555, 3980, 2508, 315, 5896, 82524, 48850, 430, 9578, 88, 612, 64568, 483, 4247, 764, 404, 552, 1051, 14454, 11, 1051, 9960, 555, 88751, 988, 612, 1023, 22936, 7091, 26, 430, 23902, 961, 1802, 315, 2225, 3752, 315, 22936, 612, 11742, 5946, 1139, 1855, 1023, 612, 7064, 660, 459, 5811, 369, 279, 80835, 5493, 26, 430, 1070, 574, 264, 4279, 16946, 315, 4251, 9578, 88, 282, 789, 78984, 25, 612, 430, 279, 14282, 12841, 527, 315, 22999, 11742, 7138, 11, 430, 279, 88751, 988, 527, 14454, 505, 279, 20700, 315, 4247, 12989, 4108, 23902, 1457, 3118, 627, 9210, 1521, 28036, 1051, 96710, 4234, 555, 279, 8957, 315, 35231, 10411, 315, 279, 11246, 13, 2001, 3011, 420, 17715, 25408, 279, 3118, 1376, 315, 4363, 13, 2001, 3011, 304, 3738, 7634, 11, 264, 2294, 4950, 315, 14071, 819, 68539, 37148, 574, 54568, 671, 13900, 449, 3544, 37996, 5325, 68, 1633, 8965, 1890, 81473, 13, 449, 328, 98541, 612, 800, 3926, 12264, 112, 59504, 18133, 627, 9210, 279, 8582, 5596, 315, 420, 4950, 574, 4087, 261 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37148, 612, 13282, 13931, 315, 480, 68726, 11, 430, 3485, 420, 1070, 374, 4950, 315, 198, 998, 9578, 88, 9462, 11046, 11, 7170, 8965, 320, 25030, 439, 304, 432, 13, 921, 455, 266, 3221, 432, 3614, 10241, 548, 788, 13, 2001, 3011, 1521, 28036, 1501, 912, 1879, 315, 9349, 13, 2001, 3011, 1306, 420, 264, 1455, 23205, 682, 12328, 532, 1957, 7108, 5596, 315, 279, 4827, 28036, 612, 54568, 264, 13057, 26839, 315, 18460, 4247, 12989, 894, 612, 4251, 52255, 1069, 6194, 645, 13, 320, 333, 1521, 1051, 1403, 96710, 402, 1147, 832, 3952, 2035, 520, 420, 4261, 10380, 2001, 430, 279, 9581, 14958, 477, 420, 6688, 892, 3403, 311, 5387, 44054, 902, 1457, 3073, 11, 1524, 449, 872, 27230, 13, 32389, 220, 14125, 7693, 3485, 279, 9581, 13, 2001, 5112, 279, 4363, 574, 32389, 477, 9581, 5258, 4591, 13, 2001, 3011, 1063, 420, 1070, 706, 1027, 1633, 2294, 682, 12328, 532, 1957, 11, 810, 1109, 279, 3118, 9235, 10182, 198, 4919, 2759, 369, 13, 7570, 422, 584, 2231, 704, 315, 279, 1162, 279, 2294, 17065, 82, 612, 38883, 348, 543, 552, 304, 279, 8582, 14733, 11, 1405, 1070, 527, 2697, 35483, 315, 3090, 3596, 4401, 627, 1687, 1253, 2937, 279, 65505, 11, 902, 15455, 1555, 2653, 20388, 12989, 894, 23902, 11, 220, 1041, 311, 220, 1049, 7693, 1579, 11, 6463, 1193, 264, 2697, 4365, 198, 4291, 902, 34751, 27275, 13, 2001, 74062, 922, 281, 6258, 18709, 612, 927, 71, 8764, 1589, 2076, 11, 439, 264, 1906, 315, 4846, 13, 2001, 358, 5602, 832, 315, 279, 47101, 36841, 48877, 1245, 3185, 43643, 1572, 11, 1081, 11627, 520, 3131, 11, 449, 264, 44106, 220, 1399, 477, 220, 2031, 7693, 1579, 11, 439, 304, 67164, 3224, 627, 40, 1781, 67164, 66579, 2011, 1618, 617, 1027, 3118, 11, 612, 63957, 555, 11295, 98931, 13, 2001, 19418, 539, 2362, 87539, 2857, 11, 1405, 374, 6982, 311, 3073, 304, 279, 75742, 11, 994, 9960, 555, 6617, 28036, 3686, 387, 279, 15821, 961, 612, 2759, 369, 6617, 348, 543, 552, 23828, 6714, 449, 2362, 6305, 13, 612, 1521, 11, 9564, 832, 311, 23289, 3118, 11384, 1047, 89589, 1124, 627, 9493, 304, 1778, 264, 1162, 315, 420, 44054, 449, 872, 12745, 18189, 499, 311, 264, 2875, 4261, 11, 45382, 433, 12266, 627, 58, 321, 1978, 60, 42623, 1690, 198, 1527, 510, 17, 4339, 30067, 60, 44054, 18460, 505, 279, 11573, 612, 27275, 505, 510, 321, 1978, 60, 449, 510, 321, 1978, 60, 25896, 627, 58, 321, 1978, 60, 220, 966, 220, 843, 198, 13, 10513, 304, 1890, 4207, 627, 19, 220, 18, 14, 19, 220, 22, 284, 220, 605, 14, 19, 220, 22, 284, 220, 777, 14, 1591, 315, 662, 10513, 13, 284, 662, 5037, 198, 1591, 14, 220, 15134, 21, 320, 5037, 340, 777, 220, 2148, 220, 845, 198, 13066, 8478, 311, 12324, 477, 198, 29197, 12989, 894, 612, 6617, 28036, 198, 455, 383, 525, 96710, 4234, 3871, 320, 782, 8478, 264, 4579, 477, 1403, 420, 452, 13, 14733, 340, 3844, 3550, 3571, 315, 42623, 13, 2001, 340, 4444, 713, 315, 4950, 13, 10241, 13, 9462, 11046, 340, 17, 13, 44397, 2461, 612, 24522, 198, 16, 13, 3331, 6371, 13, 2001, 4325, 612, 66, 612, 66, 198, 29197, 12989, 4108, 709, 57511, 612, 66, 198, 22111, 6617, 4950, 13, 320, 36, 44857, 315, 14733, 11, 2673, 612, 66, 198, 81450, 1429, 12290, 3090, 198, 53, 543, 552, 612, 66, 2362, 1887, 198, 7, 6600, 3963, 3485, 320, 46, 22604, 612, 20388, 12989, 4108, 340, 7229, 800, 13, 38897, 198, 79519, 315, 42623, 510, 4991, 3068, 933, 7, 4164, 304, 2324, 505, 42623, 198, 791, 42623, 539, 1633, 1317, 1306, 279, 7793, 6374, 1694, 1243, 539, 1633, 40130, 369, 37148, 28036, 505, 507, 22604, 1694, 1766, 5190, 709, 13, 2001, 14968, 1306, 279, 16946, 315, 42623, 4686, 2349, 315, 2324, 13, 2001, 6617, 44054, 77289, 315, 393, 440, 729, 38897, 612, 1405, 198, 2181, 1053, 5101, 311, 387, 264, 510, 9027, 276, 1295, 60, 927, 279, 1109, 9606, 389, 279, 1314, 612, 1694, 12860, 555, 1023, 21522, 198, 20961, 324, 919, 60, 320, 939, 6572, 505, 13962, 8, 7281, 6985, 11, 5444, 19153, 198, 5715, 311, 35689, 198, 34, 7709, 25, 3842, 5355, 24100, 383, 11, 6576, 13, 220, 1049, 17, 14863, 578, 19121, 5664, 315, 15274, 45480, 8267, 13, 320, 1277, 1129, 99865, 69979, 2726, 15549, 54660, 1738, 1566, 6177, 220, 17, 5887, 11, 220, 679, 17, 128001, 128000, 1956, 315, 420, 6207, 198, 37, 19568, 1514, 459, 3062, 3560, 304, 1057, 8689, 13, 2435, 527, 3560, 4211, 11, 6144, 1105, 11, 12850, 11, 323, 8717, 13, 2435, 649, 387, 16385, 7678, 5079, 11, 13639, 323, 76707, 13, 1628, 44145, 11, 7170, 814, 527, 1101, 28310, 4245, 311, 13200, 2191, 11, 91402, 477, 4648, 13, 2650, 656, 1057, 40317, 10383, 323, 6211, 603, 30, 16877, 603, 439, 584, 13488, 7126, 5812, 389, 279, 1828, 17118, 5270, 33391, 627, 2028, 2246, 374, 5131, 539, 2561, 1618, 13, 128001, 128000, 10378, 1781, 1475, 10585, 706, 13061, 709, 459, 7185, 7091, 2476, 1364, 1071, 13, 1054, 12389, 499, 3596, 13061, 709, 264, 7091, 430, 753, 27367, 1093, 264, 4851, 30, 3011, 753, 27367, 1093, 264, 39834, 30, 3011, 753, 27367, 1093, 264, 12224, 30, 10926, 433, 1047, 264, 5128, 1933, 477, 1047, 48473, 304, 433, 13, 4702, 922, 16470, 439, 264, 1716, 706, 14890, 1063, 3169, 315, 7091, 49216, 644, 420, 1162, 11, 32726, 706, 4400, 311, 656, 449, 3300, 11, 7389, 430, 5764, 279, 3300, 31248, 706, 29091, 304, 1077, 7091, 305, 801, 14464, 627, 8100, 574, 832, 315, 1884, 2911, 889, 13061, 709, 5128, 23902, 11, 719, 1077, 35996, 2646, 4024, 3201, 13, 11450, 11, 1364, 753, 4872, 315, 279, 4892, 29538, 32245, 323, 50416, 13581, 11, 264, 1912, 315, 1093, 34423, 1274, 889, 1781, 1695, 2574, 649, 387, 1766, 555, 3411, 1523, 627, 15085, 1541, 1431, 656, 264, 2763, 42200, 13, 1472, 3207, 3411, 520, 279, 7479, 477, 1120, 3770, 279, 7479, 2476, 1071, 31248, 11, 220, 5547, 11, 315, 356, 9933, 11, 76626, 13, 1054, 32, 2763, 315, 3769, 4131, 311, 279, 7479, 1306, 264, 8987, 11422, 13, 1442, 499, 3207, 26984, 264, 1938, 477, 1403, 1306, 264, 8987, 11422 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11, 499, 1205, 701, 27275, 26302, 389, 13, 29538, 374, 3967, 369, 1202, 57009, 1216, 11, 80566, 1216, 37148, 49216, 791, 8396, 706, 5912, 2115, 23277, 311, 19614, 369, 502, 23902, 323, 34072, 13, 763, 1521, 13318, 22941, 2919, 11, 433, 753, 3062, 311, 636, 8041, 505, 4363, 7980, 1603, 279, 15389, 12302, 627, 1360, 41115, 2997, 264, 7091, 24354, 11, 93091, 323, 7296, 29247, 11, 439, 1664, 439, 24794, 311, 3412, 7878, 14035, 323, 264, 22733, 12804, 311, 82379, 2574, 709, 11, 31248, 1071, 627, 33672, 4070, 2751, 311, 3854, 701, 1866, 16163, 323, 3090, 2476, 1364, 1071, 13, 1054, 8538, 315, 279, 7634, 584, 6667, 520, 527, 2362, 37965, 4108, 11, 779, 1070, 7784, 1431, 904, 13077, 13, 1472, 617, 311, 387, 5128, 659, 12, 14343, 49216, 50, 6180, 3697, 617, 11941, 291, 1063, 315, 872, 14035, 369, 459, 31324, 520, 279, 507, 1466, 64845, 4409, 16730, 304, 97197, 20782, 753, 98816, 5657, 13, 578, 4526, 5764, 3673, 389, 11941, 505, 279, 29538, 16730, 315, 18955, 10170, 304, 13972, 627, 791, 1054, 36412, 27126, 753, 4323, 39227, 11346, 25, 34991, 304, 14637, 863, 31324, 4519, 31376, 1534, 9581, 2324, 505, 279, 9083, 1056, 2877, 1122, 4261, 11, 902, 574, 220, 15726, 311, 220, 18199, 3610, 1667, 4227, 11, 439, 1664, 439, 37148, 505, 50887, 6406, 1511, 311, 1304, 80921, 39682, 13, 4656, 92475, 11, 3980, 2601, 323, 6896, 81, 1908, 7732, 1101, 527, 5343, 13, 578, 9024, 323, 4279, 23902, 11, 34072, 323, 81473, 690, 387, 389, 3113, 3156, 5587, 220, 1419, 627, 12363, 51704, 7091, 305, 3171, 2586, 311, 279, 32628, 304, 2204, 5627, 13, 6104, 31248, 13452, 311, 2231, 389, 1077, 27275, 26302, 323, 19614, 369, 81473, 11, 3842, 3296, 61828, 11, 220, 2397, 11, 315, 97197, 20782, 11, 706, 1023, 5627, 315, 1651, 2101, 502, 23902, 627, 10378, 733, 389, 1063, 2115, 23277, 11, 719, 539, 1690, 13, 4427, 315, 433, 374, 8232, 2015, 13, 4427, 315, 433, 374, 14626, 20628, 13, 4427, 315, 433, 374, 4885, 2476, 568, 1071, 13, 1054, 2746, 358, 4070, 2751, 264, 4333, 2133, 311, 10384, 11, 358, 2019, 11, 3451, 38053, 757, 709, 264, 7091, 477, 1403, 14639, 358, 4070, 2751, 264, 4333, 2133, 311, 6921, 13, 1283, 4805, 3820, 757, 709, 8811, 613, 635, 49216, 4599, 568, 5334, 3412, 315, 27302, 11, 3296, 61828, 13452, 311, 4018, 1124, 1139, 62814, 311, 16805, 872, 13444, 627, 2118, 13622, 398, 433, 753, 1097, 88403, 2476, 568, 1071, 13, 1054, 40, 1093, 430, 7091, 13, 1102, 753, 2751, 264, 6555, 11, 25977, 2840, 19519, 311, 433, 49216, 1383, 61828, 2751, 1139, 26984, 439, 264, 1716, 11, 994, 264, 9760, 11784, 1461, 311, 279, 32628, 13, 1283, 3287, 1431, 1440, 433, 520, 279, 892, 11, 719, 430, 9760, 323, 1077, 10177, 1051, 8647, 369, 264, 18768, 12, 10872, 1245, 9998, 31324, 520, 264, 5960, 18842, 24925, 627, 84498, 6688, 757, 856, 1176, 4526, 2476, 3296, 61828, 1071, 627, 49, 26246, 5675, 872, 14638, 369, 3296, 61828, 927, 279, 1667, 11, 323, 568, 2231, 1124, 3201, 3156, 922, 2380, 477, 3116, 1667, 4227, 11, 994, 568, 5602, 1124, 1578, 1555, 65655, 6548, 627, 62597, 66955, 574, 709, 1618, 323, 5602, 1063, 323, 568, 24465, 757, 1203, 1139, 433, 13, 358, 4070, 1027, 22128, 433, 13, 358, 4070, 9687, 264, 2763, 13, 1472, 649, 1431, 1520, 719, 4048, 422, 499, 656, 433, 323, 281, 3390, 2212, 2476, 1071, 3296, 61828, 11, 889, 33095, 279, 8396, 753, 3997, 11, 8604, 1276, 12591, 1026, 2726, 627, 1688, 1202, 15438, 16659, 520, 279, 12336, 6406, 11896, 11, 279, 8396, 10187, 35936, 389, 5370, 13878, 315, 279, 32628, 13, 2684, 527, 6989, 389, 3547, 11880, 11, 439, 1664, 439, 10631, 389, 1268, 311, 6667, 11, 10765, 323, 3113, 15661, 627, 3947, 753, 1101, 11510, 315, 14733, 11, 2362, 3041, 9976, 2442, 731, 1990, 279, 3697, 11, 1071, 8563, 23272, 8350, 11, 220, 1227, 11, 264, 6721, 3980, 16549, 505, 8375, 1678, 385, 627, 10378, 1120, 3021, 3980, 2508, 2476, 568, 1071, 11, 1054, 438, 433, 753, 264, 1695, 6776, 311, 3449, 449, 1274, 889, 617, 279, 1890, 12034, 49216, 13246, 31248, 11, 23272, 8350, 24400, 389, 81473, 11, 323, 430, 75444, 706, 14397, 839, 1523, 311, 1403, 315, 813, 30968, 627, 46690, 617, 872, 1866, 15661, 2476, 568, 1071, 13, 1054, 7009, 617, 264, 1695, 892, 26984, 81473, 49216, 791, 32628, 706, 2586, 2539, 12960, 369, 23272, 8350, 11, 889, 574, 9087, 323, 21190, 555, 813, 6691, 994, 568, 574, 264, 32639, 627, 17818, 753, 922, 23330, 323, 9455, 323, 4560, 311, 7216, 704, 1148, 433, 574, 2476, 568, 1071, 13, 1054, 3915, 264, 3070, 51882, 11, 433, 753, 264, 2294, 32628, 49216, 66875, 4058, 4131, 304, 682, 21483, 323, 12562, 11, 323, 1274, 3568, 449, 433, 304, 2204, 5627, 13, 362, 2763, 315, 23272, 8350, 753, 4526, 374, 19937, 3201, 304, 15039, 11, 1418, 3296, 61828, 33511, 97053, 449, 7091, 305, 13900, 311, 1893, 3113, 5157, 704, 315, 3776, 93729, 627, 2118, 64952, 4131, 520, 433, 872, 1866, 1648, 2476, 31248, 1071, 13, 1054, 4897, 753, 1148, 753, 2294, 922, 433, 49216, 3947, 374, 832, 4279, 2786, 8396, 3697, 4430, 13, 31248, 1071, 430, 520, 1063, 1486, 304, 872, 6439, 11, 1054, 20670, 4070, 13061, 709, 264, 7091, 323, 1071, 11, 3451, 40, 5895, 422, 1070, 374, 4423, 2212, 889, 649, 3371, 757, 1148, 420, 374, 14639, 89874, 791, 4320, 374, 1054, 9642, 49216, 38684, 584, 649, 1431, 3371, 1124, 2476, 31248, 1071, 11, 1054, 906, 1440, 1405, 311, 49715, 1124, 2029, 128001, 128000, 8651, 2028, 4652, 706, 5361, 4819, 13, 5321, 1520, 7417, 433, 477, 4358, 1521, 4819, 389, 279, 3137, 2199, 627, 4808, 688, 535, 16088, 477, 71123, 2512, 17610, 315, 11193, 4529, 311, 5471, 19338, 11, 320, 269, 15319, 8, 4856, 1109, 97330, 1124, 477, 27723, 872, 13803, 13, 1115, 83379, 304, 1749, 449, 2917, 1413, 323, 67597, 54679, 16088, 11, 323, 304, 7036, 449, 586, 2890, 5528, 320, 8370, 990, 520, 279, 2237, 315, 7187, 2890, 4856, 1109, 3927, 2890, 570, 85255, 16088, 27149, 1633, 3629, 2949, 279, 71123, 16088, 627, 4808, 688, 535, 16088, 15174, 527, 11383, 7633, 439, 4737, 2035, 520, 279, 6156, 11, 14580, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 80423, 323, 934, 13680, 661, 27344, 5990, 13, 763, 5369, 11, 279, 4751, 87281, 27344, 706, 1027, 1511, 311, 7664, 682, 11193, 4529, 311, 6106, 63746, 1664, 33851, 323, 5471, 904, 1317, 9860, 2890, 16296, 505, 13033, 1697, 3925, 323, 5255, 8624, 13, 578, 57916, 369, 1778, 9045, 374, 279, 6029, 45296, 279, 2723, 1990, 63746, 1664, 33851, 11, 477, 330, 652, 2931, 2890, 1359, 323, 6822, 2890, 13, 2394, 2931, 27344, 15174, 11383, 5357, 389, 8405, 3938, 6699, 449, 25, 6873, 9002, 279, 16296, 315, 4248, 6569, 5411, 34453, 389, 872, 1716, 11, 14343, 5387, 892, 369, 2225, 6699, 477, 11, 369, 6996, 315, 433, 11, 520, 3325, 1063, 24890, 50371, 2299, 627, 16778, 10507, 315, 71123, 16088, 2997, 1450, 28786, 11, 65864, 11, 323, 33119, 8200, 13, 39168, 535, 2512, 1253, 2997, 69570, 323, 23061, 7177, 41891, 311, 459, 3927, 596, 4325, 11, 2890, 11, 323, 3070, 3925, 13, 1789, 3187, 11, 264, 1732, 449, 264, 3070, 3925, 315, 3738, 51423, 477, 1023, 19338, 1053, 3240, 23061, 520, 459, 6931, 4325, 323, 5255, 810, 14134, 1109, 1884, 449, 912, 1778, 3070, 3925, 13, 1952, 279, 1023, 3185, 315, 71123, 16088, 11, 1063, 33184, 11351, 11, 1778, 439, 279, 17355, 7188, 26211, 5955, 11, 3881, 62057, 39227, 3495, 7119, 9455, 5627, 311, 5471, 19338, 627, 91, 4808, 7611, 5990, 8651, 43824, 753, 3185, 7511, 91, 16352, 27344, 8651, 18337, 311, 5766, 32659, 315, 8624, 13, 7648, 7187, 6108, 2890, 20862, 9045, 527, 315, 420, 955, 13, 7511, 91, 50063, 27344, 8651, 18337, 311, 58681, 323, 4322, 3073, 306, 8624, 304, 4216, 18094, 1603, 433, 11384, 5199, 93144, 19025, 13, 7511, 91, 51, 67630, 27344, 8651, 18337, 311, 8108, 8389, 5536, 315, 3073, 306, 8624, 555, 50203, 734, 323, 18189, 8624, 14228, 36505, 13, 7511, 91, 2232, 13680, 661, 27344, 8651, 18337, 311, 50460, 477, 5766, 3135, 315, 26225, 477, 27639, 39455, 304, 279, 2890, 1887, 13, 7511, 59378, 11, 44010, 11, 323, 16717, 720, 38, 22231, 320, 3753, 22, 8, 304, 279, 3158, 315, 8624, 27344, 11, 323, 3010, 735, 1538, 809, 323, 426, 710, 3258, 304, 279, 3158, 315, 20278, 1005, 11223, 264, 2380, 58355, 291, 71123, 21623, 24790, 1887, 25, 20789, 11, 44010, 11, 323, 16717, 27344, 13, 22395, 267, 3885, 11, 420, 3666, 2508, 706, 18661, 12617, 323, 374, 1511, 555, 279, 549, 815, 13, 10181, 315, 19152, 11, 279, 452, 52271, 323, 279, 7665, 51803, 14821, 369, 51766, 323, 26166, 79790, 627, 91, 59378, 27344, 8651, 644, 12821, 2396, 4459, 7187, 320, 99895, 11, 2254, 4029, 11, 2978, 11, 9474, 8, 323, 22262, 311, 5471, 477, 7781, 279, 11737, 315, 13200, 11, 27531, 11, 323, 1023, 11217, 13, 2052, 7931, 11, 2085, 23061, 11, 527, 3984, 449, 2038, 323, 7512, 4460, 311, 5471, 279, 3575, 13, 7511, 91, 65492, 27344, 8651, 644, 12821, 2396, 5315, 6832, 5326, 315, 11469, 5435, 315, 13200, 11737, 477, 44393, 374, 3485, 5578, 13, 3804, 17171, 1253, 387, 39575, 555, 25022, 1778, 439, 4325, 11, 10026, 11, 3070, 3925, 11, 477, 7100, 2704, 13, 1789, 3187, 11, 5623, 21343, 304, 37100, 5110, 13, 7511, 91, 1451, 10297, 27344, 8651, 644, 12821, 2396, 264, 23061, 1920, 11, 323, 22262, 311, 10765, 7931, 889, 31324, 4216, 12195, 315, 20278, 11737, 323, 1023, 3575, 71177, 13, 23322, 12099, 1253, 2997, 16054, 28711, 4315, 4236, 11, 3967, 3575, 15652, 477, 6929, 24673, 11, 20167, 367, 505, 6699, 11, 2978, 11, 323, 6928, 14734, 5315, 5099, 13, 7511, 42465, 279, 7036, 315, 420, 2380, 58355, 1646, 374, 12434, 27344, 13, 25027, 27344, 20414, 527, 11383, 9152, 520, 279, 23331, 477, 4029, 2237, 323, 5357, 389, 5627, 311, 4130, 5623, 15652, 13, 1322, 60073, 323, 48609, 320, 68, 1326, 13, 389, 20149, 11, 13200, 13172, 8, 1253, 387, 19894, 439, 279, 17139, 12434, 20020, 13, 4452, 11, 304, 6725, 11, 12434, 5471, 919, 7620, 27830, 5370, 28271, 520, 279, 18563, 323, 8162, 2237, 11, 505, 3109, 75253, 552, 369, 13200, 6763, 1555, 80743, 11752, 462, 2676, 477, 5623, 7177, 11, 12128, 4420, 94745, 83131, 5623, 7649, 11, 7319, 55671, 304, 16614, 5110, 320, 52759, 8853, 11, 520, 7091, 45517, 705, 323, 27743, 17959, 20034, 520, 36841, 50644, 90925, 320, 61547, 11, 31086, 11, 35018, 4390, 19105, 1362, 1147, 6532, 304, 279, 586, 2890, 13189, 315, 420, 6725, 1253, 387, 6532, 304, 1218, 316, 2508, 11, 44885, 2585, 11, 323, 586, 2890, 58074, 13, 3142, 2890, 58074, 649, 2997, 37100, 21160, 11, 24269, 34239, 11, 35909, 11, 3691, 18459, 323, 13788, 11, 323, 13076, 53056, 58074, 323, 32313, 627, 644, 279, 3723, 4273, 11, 71123, 16088, 374, 264, 6593, 36974, 11, 323, 706, 832, 315, 279, 220, 1187, 2847, 7922, 21126, 15324, 555, 279, 3778, 8925, 315, 13235, 9984, 29646, 320, 1905, 4931, 8, 12514, 311, 433, 439, 1664, 439, 832, 315, 279, 220, 972, 2847, 7922, 21126, 15324, 555, 279, 3778, 507, 5455, 62209, 10229, 22555, 315, 507, 5455, 62209, 92794, 320, 19268, 1905, 3204, 570, 1102, 71010, 2380, 5789, 315, 66979, 512, 12, 3331, 71123, 16088, 323, 586, 2890, 198, 12, 81965, 16088, 198, 12, 85255, 16088, 198, 1271, 3719, 4580, 62134, 1908, 304, 832, 315, 279, 71123, 16088, 5789, 315, 66979, 11, 264, 16383, 549, 815, 13, 28378, 320, 44, 920, 13, 477, 423, 8548, 6266, 2011, 7946, 4686, 264, 71123, 16088, 6593, 53966, 2068, 2768, 264, 832, 4771, 60859, 13, 23548, 430, 11, 279, 28378, 2011, 1522, 279, 71123, 16088, 4580, 24481, 13, 578, 53966, 2068, 374, 520, 3325, 1403, 1667, 304, 3160, 323, 5764, 9954, 315, 264, 7491, 596, 8547, 304, 586, 2890, 320, 5901, 39, 8, 477, 13890, 13, 578, 4580, 7151, 5097, 264, 2539, 1938, 25, 279, 6693, 3882, 99005, 389, 4689, 71123, 16088, 4860, 11, 1418, 279, 13658, 3882, 99005, 389, 279, 832, 315, 279, 2380, 5789, 315, 66979, 430, 279, 32368, 706, 20041, 627, 644, 5369, 11, 1070, 527, 1403, 5258, 3037, 1919, 5789, 315, 28706, 512, 9673, 82571, 1397, 11961, 369, 459, 24481, 2768, 6992, 9954, 315, 459, 19629, 477, 549, 31825, 63349, 323, 4972, 4580, 28706, 304, 832, 315, 279, 220, 1187, 14469, 4931, 12, 47167, 94436, 477, 220, 972, 66369, 1905, 3204, 12, 47167, 94436, 627, 1360, 110231, 7332, 320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 95448, 25, 101361, 118207, 103961, 45028, 104899, 311, 7771, 477, 5471, 52159, 8, 374, 904, 6593, 477, 586, 2890, 10537, 6832, 7580, 374, 311, 5471, 11, 4856, 1109, 4322, 477, 27208, 11, 264, 8624, 477, 1023, 6593, 4360, 13, 763, 4689, 3878, 11, 40334, 4010, 24045, 11193, 527, 18255, 1990, 6156, 40334, 4010, 7332, 320, 998, 5471, 279, 4500, 315, 264, 8624, 8, 323, 14580, 40334, 4010, 7332, 320, 2940, 1729, 279, 8624, 706, 2736, 8040, 323, 279, 8893, 374, 2682, 2403, 93405, 315, 420, 1920, 4390, 8538, 3230, 10507, 315, 40334, 4010, 7332, 2997, 512, 12, 9176, 40300, 527, 40334, 4010, 24045, 11, 40300, 1778, 439, 1499, 822, 25474, 11, 2678, 79, 5241, 25474, 11, 80337, 25474, 11, 296, 12055, 25474, 323, 3885, 617, 19407, 11293, 1690, 20587, 19338, 26, 74469, 40300, 5471, 3738, 51423, 26, 62937, 25474, 627, 12, 36127, 2585, 5528, 527, 1511, 311, 5471, 36021, 20209, 13, 1221, 5717, 82, 11, 369, 2937, 11, 527, 7170, 65043, 30132, 38210, 14183, 311, 439, 330, 782, 110231, 69069, 1, 1606, 315, 872, 1005, 311, 5471, 20209, 11, 439, 1664, 439, 279, 18874, 315, 27681, 34699, 30020, 627, 12, 13690, 323, 24070, 7106, 10368, 304, 5370, 7739, 649, 387, 2663, 40334, 4010, 24045, 1606, 433, 649, 10519, 477, 7417, 832, 596, 2890, 13, 61070, 369, 7710, 8111, 311, 1633, 12207, 7417, 2890, 555, 18189, 5326, 315, 4851, 19338, 11, 5370, 51423, 11, 52192, 12, 323, 69397, 19338, 11, 323, 8244, 29528, 627, 12, 60638, 11510, 315, 26390, 323, 24822, 1855, 1938, 1253, 387, 40334, 4010, 24045, 13, 1102, 1253, 8108, 279, 5326, 315, 4851, 8624, 627, 12, 61626, 269, 579, 15419, 323, 26588, 16204, 11, 3060, 520, 2162, 477, 555, 264, 6721, 11, 527, 5596, 315, 29106, 40334, 4010, 7332, 477, 21308, 40334, 4010, 7332, 627, 12, 95951, 83300, 527, 7170, 1511, 40334, 4010, 533, 2740, 25, 1789, 3187, 11, 2391, 279, 220, 1049, 16, 23064, 69865, 8951, 44030, 304, 279, 3723, 4273, 11, 6978, 11846, 311, 387, 15246, 1051, 2728, 272, 49889, 69, 56828, 40488, 13, 763, 4528, 11827, 11, 279, 1005, 315, 60595, 297, 396, 1392, 389, 44154, 323, 1023, 34254, 374, 40334, 4010, 24045, 13, 95951, 83300, 527, 1101, 2728, 40334, 4010, 533, 2740, 1120, 1603, 1063, 6593, 16346, 1778, 439, 23744, 59775, 37027, 627, 12, 1183, 2912, 66, 416, 65211, 1821, 320, 7905, 2170, 8, 1253, 11, 449, 28930, 11, 387, 459, 3187, 315, 264, 21249, 92981, 71123, 320, 4151, 1097, 275, 462, 1625, 1074, 323, 9971, 33903, 6, 27344, 555, 16088, 4390, 12, 6898, 2931, 277, 10522, 1778, 439, 37833, 78, 48358, 323, 757, 90906, 48358, 527, 1511, 2225, 304, 6514, 323, 439, 40334, 4010, 7332, 555, 15613, 311, 5961, 1405, 69263, 374, 96013, 311, 5471, 279, 4500, 315, 279, 33403, 49086, 1856, 300, 2658, 2411, 11, 902, 5353, 69263, 627, 12, 51684, 11193, 320, 21470, 439, 33109, 26168, 76705, 477, 75568, 44626, 33030, 26168, 8, 323, 11217, 320, 21470, 439, 3428, 1474, 43943, 12923, 568, 1768, 258, 11, 9662, 16597, 660, 568, 1768, 258, 11, 323, 21901, 391, 277, 20130, 8, 1253, 387, 1511, 304, 77441, 1534, 8952, 6978, 520, 5326, 315, 11457, 788, 84664, 754, 9034, 337, 2191, 627, 12, 32388, 18189, 477, 40334, 4010, 24045, 19218, 440, 316, 552, 1253, 387, 11953, 704, 369, 35991, 315, 279, 19333, 5158, 27472, 15207, 311, 97087, 279, 5326, 315, 11469, 17659, 9572, 627, 12, 23591, 323, 14079, 65864, 5825, 33119, 5848, 9313, 2403, 50600, 19338, 323, 1664, 439, 11293, 5326, 315, 21249, 19338, 369, 2225, 6691, 323, 1716, 627, 12, 3735, 1100, 484, 369, 27344, 315, 384, 1326, 13, 41713, 8624, 627, 12, 14020, 49163, 80087, 579, 374, 1511, 40334, 4010, 533, 2740, 311, 6144, 279, 54060, 67169, 505, 70275, 304, 60985, 477, 6892, 10185, 59862, 80087, 483, 11, 902, 1253, 3063, 311, 279, 4500, 315, 54060, 9572, 26, 59862, 80087, 483, 1253, 387, 6004, 1139, 279, 4676, 304, 279, 1567, 315, 459, 11677, 520, 264, 11499, 2410, 6136, 11, 477, 279, 55774, 367, 315, 264, 11499, 34150, 320, 4151, 54060, 9313, 4245, 311, 11499, 33788, 323, 69074, 4390, 12, 1322, 110231, 7332, 1253, 387, 38018, 439, 21308, 24099, 13, 54501, 40334, 4010, 7332, 5764, 25, 393, 9377, 11, 308, 1777, 47, 11, 477, 2394, 9377, 13, 393, 9377, 13656, 369, 1772, 10397, 12313, 40334, 4010, 7332, 1511, 304, 459, 65195, 6376, 384, 1326, 2637, 311, 5471, 279, 9041, 315, 23495, 477, 61245, 82801, 356, 505, 8893, 311, 5687, 2768, 459, 50016, 31409, 30133, 13, 308, 1777, 47, 374, 2536, 12, 24719, 1697, 1772, 10397, 12313, 40334, 4010, 7332, 13, 308, 1777, 47, 1253, 387, 1511, 304, 264, 7392, 477, 26127, 14675, 311, 23495, 11, 73975, 11, 477, 1023, 50600, 13307, 26, 369, 3187, 11, 2391, 50540, 11, 422, 279, 37816, 18808, 323, 832, 8427, 374, 23495, 69788, 11, 308, 1777, 47, 690, 1520, 311, 18979, 279, 19463, 430, 279, 23495, 62035, 8427, 9221, 29374, 449, 23495, 13, 320, 2127, 308, 1777, 47, 374, 7170, 3967, 439, 264, 393, 9377, 325, 482, 602, 1770, 13, 1772, 10397, 12313, 40334, 4010, 7332, 7392, 13123, 6266, 2394, 9377, 374, 264, 6767, 4529, 7446, 320, 15145, 11, 2391, 11, 323, 1306, 8, 3284, 14675, 26, 369, 3187, 11, 555, 264, 1732, 889, 80961, 4501, 5829, 79975, 2391, 1877, 449, 264, 8427, 889, 1253, 617, 459, 23495, 19405, 627, 12834, 71123, 16088, 12789, 449, 9498, 7931, 477, 22673, 279, 7194, 323, 4754, 84496, 505, 39455, 1205, 1524, 810, 16994, 24481, 1109, 304, 6514, 13, 1789, 459, 21623, 311, 387, 9435, 13882, 433, 8965, 3966, 311, 387, 17049, 323, 7701, 2853, 7524, 627, 2520, 2937, 11, 50938, 29051, 483, 7766, 320, 40, 4760, 8, 527, 7701, 7524, 323, 7701, 2853, 7524, 45936, 418, 1924, 11, 4869, 1405, 20789, 2890, 2512, 374, 539, 2561, 279, 2926, 2853, 1253, 387, 264, 22881, 13, 358, 4760, 82, 990, 369, 3892, 1667, 320, 18, 311, 220, 22, 477, 810, 8, 323, 2853, 2753, 927, 264, 1060, 477, 1403, 596, 892, 1109, 1455, 1023, 81193, 99390, 5528, 13, 2435, 527, 1101, 7701, 2853, 7524, 11, 14324, 2890, 56374, 323, 279, 586, 5199, 7194, 304, 36021, 82308, 13, 25274, 45936, 418, 1924, 2561, 449, 912, 709, 4156, 2853, 374, 832 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1648, 311, 5376, 10648, 11, 18899, 2890, 323, 14324, 3300, 627, 4808, 688, 535, 10105, 1253, 387, 2753, 34235, 323, 9093, 2753, 19411, 311, 29414, 323, 55572, 315, 35410, 82, 323, 6593, 7766, 13, 36127, 2585, 26153, 902, 527, 4529, 1475, 1938, 323, 1253, 1935, 304, 264, 16579, 11441, 927, 5899, 1667, 1253, 7068, 810, 22613, 1109, 459, 358, 4760, 11, 902, 8994, 264, 6908, 2926, 41851, 1193, 27983, 264, 2478, 7895, 11441, 927, 279, 1890, 4261, 627, 70850, 5353, 315, 5471, 481, 4648, 720, 91, 62012, 8651, 67421, 9057, 320, 26064, 919, 824, 1060, 8, 7511, 91, 20004, 1870, 34699, 30020, 8651, 18, 13, 15, 7511, 91, 1959, 4870, 323, 33048, 8651, 17, 13, 20, 7511, 91, 1451, 10922, 3805, 25793, 505, 6573, 40373, 8651, 16, 13, 23, 7511, 91, 79870, 3090, 323, 8009, 77623, 8651, 16, 13, 21, 7511, 91, 1090, 47698, 8651, 33110, 315, 682, 1716, 16779, 5471, 481, 7511, 91, 29353, 11, 77623, 11, 53056, 8651, 18, 7511, 91, 3648, 16381, 9499, 6373, 8651, 17, 7511, 91, 45, 5230, 404, 391, 483, 323, 14039, 26040, 8651, 17, 7511, 91, 17555, 581, 83300, 369, 42227, 89869, 315, 79348, 8651, 16, 7511, 91, 17555, 2931, 43821, 75568, 71123, 6514, 304, 20209, 8651, 27, 16, 4, 7511, 91, 62012, 8651, 67421, 9057, 8651, 4, 315, 682, 16779, 7511, 91, 85203, 10173, 323, 7106, 304, 7323, 8651, 12676, 11, 931, 8651, 868, 13, 17, 7511, 91, 20004, 1870, 34699, 30020, 8651, 508, 11, 931, 8651, 15, 13, 23, 7511, 10031, 1101, 720, 12, 3778, 8925, 315, 39168, 535, 19152, 198, 12, 7665, 9304, 315, 39168, 535, 323, 69256, 19152, 198, 12, 3778, 507, 5455, 62209, 8925, 315, 39168, 535, 19152, 198, 12, 38895, 17563, 27344, 198, 12, 51803, 320, 83543, 340, 12, 3962, 10397, 12313, 40334, 4010, 7332, 198, 12, 5075, 10397, 12313, 40334, 4010, 7332, 198, 12, 39168, 535, 19152, 320, 43618, 340, 12, 1322, 110231, 24045, 6037, 198, 12, 39168, 535, 19152, 520, 279, 2326, 5165, 11896, 315, 19152, 13235, 17908, 11452, 826, 320, 7979, 8758, 340, 12, 2394, 2931, 8483, 14821, 11, 7295, 198, 12, 2394, 2931, 6401, 8483, 423, 2143, 1201, 198, 12, 13756, 315, 763, 549, 91489, 323, 23591, 88908, 32934, 389, 22919, 6401, 323, 31974, 11, 555, 393, 920, 1246, 86476, 1543, 1880, 453, 2637, 452, 5301, 3910, 622, 52699, 220, 19192, 26, 16, 198, 12, 70591, 25, 2650, 279, 11888, 4038, 1603, 7342, 6211, 279, 2800, 315, 701, 2324, 11, 555, 53089, 31053, 7043, 11, 4212, 14756, 11, 220, 10967, 13, 975, 11, 220, 679, 15, 198, 12, 735, 361, 71, 79469, 350, 11, 328, 876, 291, 21446, 423, 11, 7811, 44509, 480, 11, 480, 14081, 4378, 622, 11, 20614, 283, 273, 386, 13, 3489, 13680, 661, 27344, 25, 264, 3465, 315, 279, 4689, 55472, 13, 26150, 33099, 13, 220, 679, 15, 26, 220, 605, 7, 972, 1680, 8652, 12, 19, 627, 12, 26150, 36947, 520, 279, 2326, 5165, 11896, 315, 19152, 13235, 17908, 11452, 826, 320, 7979, 8758, 340, 12, 44634, 36947, 520, 279, 2326, 5165, 11896, 315, 19152, 13235, 17908, 11452, 826, 320, 7979, 8758, 340, 12, 350, 67630, 36947, 520, 279, 2326, 5165, 11896, 315, 19152, 13235, 17908, 11452, 826, 320, 7979, 8758, 340, 12, 480, 1073, 1018, 6328, 11, 1443, 41996, 622, 11, 2009, 581, 869, 3457, 423, 11, 5768, 276, 426, 11, 1443, 391, 9008, 7683, 13, 3489, 13680, 661, 27344, 25, 264, 502, 1427, 520, 459, 2362, 8815, 13, 2209, 81, 3344, 93476, 622, 13, 220, 1049, 15, 26, 17, 7, 22, 1680, 21962, 12, 2636, 627, 12, 26952, 11, 432, 13, 320, 3753, 22, 705, 3451, 2127, 25605, 24790, 315, 8624, 27344, 20182, 304, 35606, 7881, 11, 622, 13, 362, 13, 323, 15347, 1543, 11, 386, 13, 386, 13, 320, 6910, 25390, 39168, 287, 38895, 73133, 11, 9305, 8078, 11, 14306, 25, 549, 815, 13, 6011, 315, 6401, 323, 11344, 8471, 11, 220, 3753, 22, 627, 12, 735, 1538, 809, 11, 735, 13, 445, 2637, 323, 426, 710, 3258, 11, 480, 13, 426, 13, 320, 2550, 22, 705, 364, 78893, 11737, 27344, 25, 3639, 4375, 50734, 5165, 10181, 389, 26166, 46784, 11, 9305, 8078, 627, 12, 330, 3923, 2209, 1322, 110231, 7332, 30, 3343, 24219, 38, 33362, 627, 12, 36857, 33126, 468, 316, 474, 320, 679, 15, 8, 330, 74137, 323, 71628, 25, 37543, 430, 57780, 20587, 91971, 1, 10139, 315, 279, 3778, 16192, 315, 88298, 54349, 1821, 198, 12, 59276, 2577, 86651, 1880, 453, 13, 320, 28259, 220, 1049, 15, 570, 330, 2460, 12, 1593, 29528, 5938, 449, 7106, 5820, 2391, 41308, 892, 11, 990, 11, 10034, 11, 323, 33162, 311, 990, 3343, 38329, 315, 15774, 19152, 220, 6330, 320, 806, 1680, 220, 10674, 16, 4235, 23, 13, 36995, 25, 605, 13, 1041, 16, 61073, 46429, 13, 6330, 13, 806, 13, 10674, 16, 13, 62041, 220, 6640, 21757, 2131, 627, 12, 3723, 4273, 6011, 315, 37963, 13, 330, 10445, 374, 433, 3062, 311, 8343, 14098, 30, 3343, 3723, 4273, 6011, 315, 37963, 13, 58891, 220, 23, 7552, 220, 679, 17, 627, 12, 330, 68744, 811, 369, 1701, 89230, 311, 5471, 323, 2585, 29106, 1841, 552, 304, 279, 3723, 4273, 13, 41991, 369, 31974, 7935, 323, 36947, 3343, 22403, 18408, 13, 89520, 323, 6821, 551, 8613, 65, 19025, 323, 29528, 17496, 1934, 13, 89520, 323, 6821, 611, 41991, 369, 31974, 7935, 220, 1135, 320, 8268, 12, 975, 1680, 220, 16, 4235, 2983, 13, 220, 1049, 16, 13, 62041, 220, 7322, 13762, 1032, 627, 12, 7948, 774, 11, 622, 13, 469, 16016, 79087, 11, 362, 16016, 328, 363, 53977, 11, 622, 16016, 85696, 11, 622, 16016, 56859, 11, 735, 16016, 65687, 11, 328, 16016, 63855, 11, 735, 16016, 29071, 1764, 11, 386, 13, 445, 13, 320, 1049, 24, 570, 330, 791, 2515, 315, 77826, 892, 323, 18653, 333, 23994, 389, 29106, 61464, 17065, 304, 41294, 3343, 10139, 315, 29106, 53056, 551, 45037, 39, 611, 3778, 48804, 10320, 88364, 1705, 6, 10229, 220, 6069, 320, 18, 1680, 220, 5037, 4235, 8027, 13, 62041, 220, 4468, 11727, 1682, 627, 12, 409, 96414, 61683, 11, 11826, 21148, 386, 11, 423, 88766, 10599, 452, 39476, 31866, 16998, 11, 1880, 453, 13, 320, 1049, 24, 570, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 36, 21264, 2826, 315, 60595, 40334, 4010, 7332, 4972, 311, 279, 46460, 367, 315, 23744, 336, 8476, 323, 32844, 8894, 29899, 10892, 484, 3046, 25, 18591, 315, 264, 3544, 11, 33547, 11, 47341, 11, 2033, 16677, 17003, 11, 43715, 41370, 9269, 3343, 16741, 2987, 25, 18925, 61254, 689, 323, 10085, 22761, 1065, 31226, 220, 17, 320, 16, 1680, 220, 1682, 4235, 1958, 13, 36995, 25, 605, 13, 8027, 16, 11547, 2871, 2152, 47, 13, 6640, 13, 25808, 22224, 13, 62041, 220, 3753, 26720, 3174, 627, 12, 1229, 521, 336, 362, 11, 921, 283, 432, 11, 72025, 8233, 20072, 11, 1880, 453, 13, 320, 679, 16, 570, 330, 60029, 788, 666, 442, 754, 9034, 337, 2191, 1322, 110231, 7332, 304, 15429, 1534, 44430, 25, 362, 33135, 28082, 12433, 4939, 5659, 279, 3778, 9304, 315, 88599, 3343, 9489, 1147, 315, 15774, 19152, 220, 9992, 320, 24, 1680, 220, 15894, 4235, 20775, 13, 36995, 25, 605, 13, 6550, 24, 14, 931, 18, 12, 21235, 24, 12, 9992, 12, 24, 12, 679, 5037, 7755, 12, 931, 806, 13, 62041, 220, 8610, 19391, 3971, 627, 12, 445, 7442, 273, 15358, 11, 1901, 25734, 64, 423, 11, 81973, 432, 11, 1880, 453, 13, 320, 679, 16, 570, 330, 60029, 788, 666, 442, 754, 9034, 337, 2191, 1322, 110231, 7332, 304, 15429, 1534, 13235, 44430, 323, 13266, 3161, 70034, 25, 362, 25837, 10506, 369, 459, 3778, 9304, 315, 88599, 33135, 28082, 12433, 4939, 3343, 9489, 1147, 315, 15774, 19152, 220, 9992, 320, 24, 1680, 220, 20224, 4235, 21385, 13, 36995, 25, 605, 13, 6550, 24, 14, 931, 18, 12, 21235, 24, 12, 9992, 12, 24, 12, 679, 5037, 7755, 12, 931, 2318, 13, 62041, 220, 8610, 19391, 2491, 627, 12, 99666, 21550, 11, 13903, 468, 11, 64845, 5871, 11, 1880, 453, 13, 320, 33877, 220, 679, 17, 570, 330, 4808, 7611, 315, 650, 2505, 304, 452, 2439, 57673, 44430, 25, 6898, 411, 442, 6465, 292, 40143, 323, 36947, 315, 666, 442, 65, 10934, 11, 220, 24, 339, 1608, 25, 3778, 9304, 315, 42871, 88599, 44796, 61439, 33135, 28082, 48528, 3343, 42871, 220, 9335, 320, 17, 82113, 1680, 384, 6280, 50, 4235, 68, 14057, 50, 13, 36995, 25, 605, 13, 10148, 23, 21987, 478, 13, 806, 12, 14378, 21, 13, 62041, 220, 12533, 9756, 5547, 627, 12, 36133, 328, 11, 88425, 386, 11, 432, 13005, 480, 11, 90965, 47, 11, 7023, 5724, 452, 11, 73696, 483, 423, 11, 445, 1468, 386, 11, 12639, 36641, 15570, 350, 11, 86091, 622, 13, 57598, 46519, 323, 50150, 323, 31383, 2890, 20124, 304, 8040, 5961, 13, 44796, 8423, 14, 63507, 37357, 5742, 220, 9800, 13, 220, 1049, 22, 5936, 26, 362, 17526, 48, 57994, 2360, 13, 220, 2589, 13737, 11194, 627, 12, 622, 13, 15466, 12587, 27900, 11, 75671, 356, 13, 33107, 11, 323, 28640, 356, 13, 75897, 320, 30649, 220, 1049, 23, 570, 330, 791, 55057, 315, 5843, 12, 36022, 1050, 65398, 1221, 15417, 562, 311, 65201, 521, 1252, 396, 2954, 83627, 3343, 1221, 15417, 562, 627, 12, 7957, 1183, 1892, 616, 11, 1556, 73, 3444, 445, 21575, 11, 3489, 276, 3234, 276, 11, 469, 91794, 77259, 11, 84224, 393, 18614, 11, 15466, 480, 2265, 277, 320, 1049, 24, 570, 330, 15289, 27375, 315, 45936, 418, 1924, 304, 279, 3723, 4273, 3343, 1221, 15417, 562, 220, 4643, 320, 16, 1680, 220, 20, 4235, 975, 13, 36995, 25, 605, 13, 4645, 21, 4537, 2932, 15417, 562, 13, 1049, 23, 13, 2318, 13, 6268, 13, 62041, 220, 7028, 17448, 1758, 627, 12, 386, 606, 64, 622, 11, 11355, 362, 320, 28259, 220, 679, 16, 570, 330, 1844, 396, 2954, 20209, 323, 39273, 10374, 3343, 94985, 389, 39767, 323, 3402, 299, 68243, 6401, 220, 3391, 320, 17, 1680, 220, 2421, 4235, 6365, 13, 36995, 25, 605, 13, 9795, 18, 14, 14245, 25339, 16, 13, 62041, 220, 12463, 22507, 2589, 627, 12, 45315, 9827, 11, 4242, 388, 11325, 11, 469, 10616, 9491, 386, 11, 20614, 3416, 26065, 11, 28253, 61976, 320, 11356, 220, 1049, 21, 570, 330, 11907, 323, 15481, 23104, 315, 8624, 323, 5326, 9547, 11, 220, 1049, 16, 25, 37538, 6492, 315, 7187, 2890, 828, 3343, 39634, 295, 220, 18775, 320, 24597, 19, 1680, 220, 11771, 22, 4235, 3226, 13, 36995, 25, 605, 13, 4645, 21, 11628, 15901, 15, 12, 24938, 21, 7, 2705, 8, 21897, 2031, 12, 24, 13, 62041, 220, 11515, 13384, 2031, 627, 12, 12201, 480, 11, 3441, 26554, 2176, 432, 11, 5348, 432, 11, 31930, 76616, 1901, 11, 30283, 328, 11, 323, 279, 18366, 351, 822, 9576, 54451, 19723, 5856, 9, 320, 29527, 220, 20, 11, 220, 1049, 18, 220, 1049, 18, 570, 330, 4438, 1690, 1716, 16779, 649, 584, 5471, 420, 1060, 30, 3343, 39634, 295, 220, 18509, 320, 24597, 19, 1680, 220, 11771, 22, 4235, 3226, 627, 12, 386, 564, 56944, 48388, 11, 49195, 12438, 11, 4610, 13649, 44476, 11, 20524, 655, 7113, 90535, 320, 28623, 220, 1049, 19, 570, 330, 29223, 11384, 315, 4648, 304, 279, 3723, 4273, 11, 220, 1049, 15, 3343, 622, 39200, 220, 17335, 320, 605, 1680, 220, 4513, 23, 4235, 1774, 13, 36995, 25, 605, 13, 1041, 16, 4537, 3105, 13, 17335, 13, 605, 13, 4513, 23, 13, 62041, 220, 3965, 6849, 2790, 627, 12, 2326, 39168, 535, 19152, 5546, 11994, 198, 12, 2326, 39168, 535, 19152, 198, 12, 578, 36947, 9878, 198, 12, 6401, 13737, 52, 34831, 36947, 323, 57204, 128001, 128000, 13058, 1376, 320, 77591, 10334, 340, 644, 38696, 11, 279, 23035, 315, 264, 1972, 1376, 36716, 6302, 4613, 927, 279, 2115, 315, 1972, 323, 6485, 5219, 13, 362, 1972, 22213, 47976, 342, 15, 374, 2663, 264, 1972, 1376, 315, 264, 6485, 22213, 47976, 342, 422, 342, 374, 279, 6485, 2461, 315, 342, 15, 512, 13058, 7739, 369, 22213, 5315, 323, 47976, 292, 5315, 720, 16834, 279, 22213, 44818, 1990, 22213, 5315, 323, 22213, 453, 713, 71861, 11, 279, 23035, 315, 264, 1972, 1376, 649, 387, 4613, 369, 22213, 5315, 13, 763, 279, 1162, 315, 13790, 47976, 292, 5315, 11, 279, 59682, 315, 6485, 2461, 323, 1972, 1376, 617, 264, 5933, 4096, 304, 279, 4221, 315, 47976, 292, 17484, 627, 10156, 439, 6485, 5347, 285, 6592, 22213, 453, 713, 71861, 527, 21771, 555, 45038, 8148 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 47287, 11, 279, 1972, 7739, 315, 264, 5347, 285, 6592, 22213, 47976, 527, 21771, 555, 328, 460, 441, 47287, 11, 902, 527, 12457, 505, 279, 45038, 8148, 13861, 315, 279, 6485, 1376, 555, 55402, 1063, 17672, 3776, 320, 28611, 705, 323, 21583, 1063, 1023, 17672, 304, 13840, 555, 38057, 11, 4184, 311, 3738, 5718, 627, 2181, 374, 264, 6913, 2144, 304, 279, 6070, 10334, 315, 6485, 5347, 285, 6592, 22213, 453, 713, 71861, 430, 1475, 1778, 47976, 706, 1403, 3361, 1972, 7739, 25, 832, 374, 279, 17251, 1972, 1376, 323, 34310, 311, 264, 17251, 22213, 1912, 1234, 279, 22213, 44818, 320, 1220, 328, 460, 441, 13861, 706, 682, 17672, 3776, 6901, 705, 323, 279, 1023, 374, 279, 6859, 1972, 1376, 323, 34310, 311, 264, 22213, 1912, 430, 374, 439, 3117, 439, 3284, 505, 1694, 17251, 320, 1220, 328, 460, 441, 13861, 706, 912, 17672, 3776, 6901, 323, 912, 38057, 570, 763, 279, 1162, 315, 279, 6485, 3361, 13790, 1912, 17216, 1471, 11541, 705, 279, 17251, 1972, 1376, 374, 279, 3361, 5089, 661, 1912, 15857, 1471, 8, 323, 279, 6859, 1972, 1376, 374, 279, 1972, 3361, 13790, 1912, 17216, 1471, 24412, 570, 578, 24790, 315, 1972, 7739, 315, 5347, 285, 6592, 22213, 453, 713, 71861, 574, 27332, 555, 29124, 11828, 13416, 276, 304, 279, 2317, 315, 432, 27960, 1036, 1122, 55443, 12908, 13, 763, 4689, 11, 1070, 1253, 387, 810, 1109, 1403, 1972, 7739, 627, 10254, 2972, 430, 342, 15, 374, 264, 5347, 285, 6592, 22213, 47976, 927, 279, 2115, 315, 1972, 5219, 13, 3296, 13416, 276, 596, 37057, 11, 279, 70677, 1376, 374, 2536, 451, 19927, 11, 323, 649, 387, 38336, 1534, 304, 264, 14791, 8197, 449, 279, 38336, 10925, 489, 16, 477, 482, 16, 13, 3296, 47137, 5302, 596, 2383, 315, 78552, 11, 279, 1396, 315, 6928, 10925, 11, 477, 279, 6928, 1963, 315, 958, 83, 689, 11, 374, 459, 58720, 315, 279, 20934, 90021, 1376, 11, 602, 1770, 13, 433, 1587, 539, 6904, 389, 279, 5873, 315, 279, 38336, 4954, 8197, 13, 1115, 374, 264, 1396, 1990, 220, 15, 323, 279, 13167, 315, 342, 902, 374, 459, 3062, 58720, 315, 279, 1972, 22213, 47976, 11, 2663, 1202, 1963, 627, 20805, 1972, 1376, 720, 32, 1972, 1376, 342, 15, 315, 264, 6485, 5347, 285, 6592, 22213, 47976, 342, 374, 1071, 311, 387, 6859, 11, 477, 4725, 11, 422, 304, 1855, 13416, 276, 66266, 342, 15, 284, 597, 15, 54125, 243, 281, 15, 11, 279, 3634, 281, 15, 5727, 264, 54229, 3765, 70664, 1207, 278, 27175, 315, 342, 15, 11, 602, 1770, 13, 1202, 13416, 276, 1207, 278, 27175, 13, 29124, 11828, 13416, 276, 19168, 430, 1475, 6485, 5347, 285, 6592, 22213, 47976, 342, 706, 264, 6859, 1972, 1376, 11, 902, 374, 5016, 709, 311, 374, 316, 53907, 13, 1102, 706, 54229, 1963, 4315, 682, 1972, 7739, 627, 791, 6859, 1376, 34310, 311, 279, 328, 460, 441, 13861, 449, 912, 17672, 3776, 6901, 323, 912, 38057, 627, 99435, 1972, 1376, 720, 32, 1972, 22213, 47976, 342, 15, 374, 2663, 17251, 422, 279, 70677, 1376, 374, 8389, 44870, 11, 602, 1770, 13, 279, 1963, 315, 342, 15, 374, 7315, 13, 763, 420, 1162, 342, 15, 284, 597, 15, 374, 264, 17251, 22213, 47976, 13, 1102, 374, 3967, 430, 1234, 279, 22213, 44818, 11, 17251, 22213, 453, 713, 71861, 8024, 311, 17251, 22213, 5315, 627, 791, 17251, 1376, 34310, 311, 279, 328, 460, 441, 13861, 449, 682, 17672, 3776, 6901, 627, 51918, 315, 279, 17251, 1972, 1376, 720, 644, 4689, 11, 279, 8246, 315, 279, 17251, 1972, 1376, 5829, 6070, 10334, 315, 5347, 285, 6592, 22213, 453, 713, 71861, 13, 1789, 29924, 22213, 453, 713, 71861, 1070, 374, 264, 810, 11720, 8246, 627, 10267, 342, 15, 387, 264, 1972, 22213, 47976, 315, 36295, 927, 432, 430, 374, 8036, 1234, 279, 52023, 2472, 345, 791, 6485, 2461, 342, 315, 342, 15, 29602, 8449, 1139, 279, 2167, 2694, 315, 342, 15, 323, 19935, 15, 13, 578, 1972, 4724, 3634, 315, 36295, 198, 285, 264, 5258, 1330, 315, 279, 6485, 22213, 47976, 342, 430, 374, 8036, 1234, 279, 1081, 332, 3046, 323, 17610, 315, 41643, 12, 1964, 1800, 1122, 36295, 13, 1102, 11263, 430, 577, 15, 374, 264, 1972, 22213, 1207, 278, 27175, 315, 342, 11, 430, 1202, 70677, 1376, 374, 8389, 44870, 320, 28936, 433, 264, 17251, 22213, 47976, 705, 323, 430, 279, 6485, 2461, 315, 577, 15, 374, 342, 13, 15636, 11, 577, 15, 374, 264, 17251, 1376, 315, 342, 627, 10031, 1101, 720, 12, 16183, 70, 1525, 220, 4468, 23, 11, 281, 13, 220, 20363, 128001, 128000, 32, 4037, 311, 279, 3938, 551, 264, 7528, 3451, 16402, 529, 315, 4216, 13673, 2911, 753, 17649, 198, 44, 543, 276, 11, 40340, 386, 2637, 11511, 11, 29793, 11, 612, 61325, 11, 921, 27197, 320, 679, 17, 8, 362, 4037, 311, 279, 3938, 551, 264, 7528, 3451, 16402, 529, 315, 4216, 13673, 2911, 753, 17649, 13, 45231, 25, 18491, 269, 811, 1139, 15394, 596, 47470, 11, 220, 1313, 7, 16, 705, 12086, 13, 220, 6281, 12, 6640, 627, 2028, 9071, 32238, 264, 3230, 7528, 3451, 16402, 529, 315, 4216, 13673, 2911, 753, 17649, 11, 3967, 439, 279, 15394, 753, 47470, 14434, 16607, 320, 3218, 7842, 705, 902, 374, 7559, 304, 13222, 70054, 25, 578, 13673, 47470, 12027, 320, 1795, 1129, 2185, 5973, 592, 32735, 12871, 31877, 7609, 1226, 21635, 1148, 279, 7121, 7842, 4526, 649, 3371, 603, 922, 8494, 753, 3925, 13, 2057, 15376, 279, 7036, 11, 584, 5357, 389, 1268, 8494, 574, 50453, 5196, 439, 264, 7140, 449, 1202, 1866, 3752, 11, 477, 5426, 9764, 11, 304, 22755, 5439, 369, 2911, 505, 279, 15629, 961, 315, 279, 66089, 9478, 709, 3156, 279, 842, 315, 4435, 5111, 8105, 13, 5751, 5603, 374, 311, 2980, 1268, 4216, 13673, 2911, 753, 17649, 5343, 304, 279, 7121, 7842, 4526, 29486, 269, 2740, 57327, 7140, 323, 2035, 11, 323, 304, 779, 3815, 57327, 459, 13673, 9764, 369, 1202, 6259, 13016, 627, 34, 7709, 14921, 548, 42211, 15438, 505, 438, 45477, 32906, 627, 9673, 32906, 6782, 52946, 505, 2204, 75605, 315, 2561, 29085, 323, 2204, 892, 18852, 323, 8617, 279, 45477, 1797, 505, 1855, 374, 6118, 2204, 13, 4427, 4375, 527, 539, 304, 3060, 4729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 323, 912, 1797, 374, 12882, 13, 2522, 46970, 5764, 52946, 505, 9908, 4756, 304, 220, 2550, 21, 60525, 11, 323, 5000, 315, 10170, 8965, 505, 220, 3753, 15, 60525, 627, 34, 31767, 14921, 505, 279, 1275, 287, 2532, 649, 387, 19894, 520, 279, 10815, 5195, 25542, 16500, 2778, 627, 9619, 9529, 31572, 4338, 28897, 279, 2860, 1396, 315, 3115, 420, 990, 753, 3626, 320, 68, 1326, 2637, 264, 11612, 8, 617, 1027, 24174, 505, 1229, 1406, 384, 9171, 82, 439, 1664, 439, 279, 1396, 315, 31572, 304, 279, 3766, 220, 12676, 2919, 13, 578, 1797, 5764, 31572, 369, 682, 3626, 422, 264, 990, 706, 810, 1109, 832, 627, 91, 1256, 4078, 25, 8651, 44594, 13659, 7511, 91, 44942, 25, 8651, 75341, 2911, 596, 17649, 11, 7528, 18624, 11, 13222, 70054, 11, 15394, 596, 17649, 7528, 5070, 1174, 5426, 9764, 7511, 91, 91517, 25, 8651, 75341, 323, 1561, 17340, 12028, 8483, 55982, 871, 67097, 52, 11488, 52385, 99132, 3651, 356, 3616, 4622, 320, 1049, 931, 8, 871, 445, 25764, 8812, 58616, 5482, 320, 1049, 2636, 8, 871, 13673, 47470, 320, 327, 566, 13, 56510, 323, 55507, 83163, 10951, 261, 47470, 8, 320, 1049, 17824, 8, 7511, 91, 12792, 6948, 25, 8651, 5520, 871, 8483, 5838, 417, 871, 15394, 612, 30160, 8483, 14821, 7511, 91, 13857, 26918, 25, 8651, 13857, 220, 679, 17, 578, 25095, 7511, 91, 7996, 437, 1639, 1952, 25, 8651, 2839, 17907, 220, 679, 17, 220, 2318, 25, 2790, 7511, 91, 5966, 30153, 25, 8651, 1544, 17907, 220, 679, 17, 220, 975, 25, 1758, 7511, 4727, 17381, 8442, 25, 1537, 2585, 2199, 128001, 128000, 28, 426, 4125, 23580, 315, 3823, 7865, 11, 390, 50369, 430, 279, 198, 11760, 374, 13326, 8748, 369, 4423, 477, 2555, 11, 44330, 311, 3351, 198, 86258, 398, 439, 5246, 439, 433, 5039, 709, 11, 323, 8617, 4250, 656, 4205, 775, 198, 266, 279, 4545, 13, 330, 6854, 956, 3137, 1457, 11, 358, 2846, 13326, 2695, 1339, 287, 12222, 8766, 5334, 198, 1885, 279, 4641, 10246, 29356, 2740, 11, 1595, 79567, 2695, 1339, 6, 3445, 311, 3868, 389, 459, 1567, 555, 198, 2203, 20353, 1555, 264, 10508, 477, 26245, 46271, 6471, 430, 23925, 369, 198, 1820, 1567, 389, 1855, 1522, 11, 439, 16475, 311, 6376, 709, 459, 12956, 198, 18388, 323, 14691, 11572, 389, 2500, 961, 315, 279, 3465, 13, 763, 198, 83553, 420, 374, 264, 41421, 52221, 15105, 11, 323, 1888, 31890, 389, 198, 1712, 55856, 6067, 1405, 264, 13326, 2695, 1339, 287, 2068, 1253, 47025, 279, 198, 30574, 13, 4452, 11, 433, 374, 3629, 84116, 304, 10206, 15840, 627, 644, 279, 14677, 1917, 11, 10206, 13326, 2695, 57579, 527, 6118, 14183, 311, 439, 198, 313, 791, 622, 71921, 2958, 2373, 220, 19, 13, 18, 13, 16, 11, 1608, 13, 469, 14899, 11, 3154, 263, 6879, 555, 594, 4484, 4991, 13, 128001, 128000, 11800, 527, 10032, 311, 2610, 832, 2748, 323, 1243, 279, 1828, 311, 636, 279, 12974, 4320, 13, 17457, 278, 10758, 374, 1401, 311, 96178, 420, 75235, 8446, 627, 11800, 8417, 505, 459, 4216, 4325, 902, 2748, 814, 1288, 2610, 369, 8041, 304, 902, 53237, 13, 358, 649, 41468, 420, 449, 279, 3187, 315, 856, 1866, 3070, 13, 1442, 279, 1715, 6532, 1063, 8547, 315, 59772, 11, 5326, 11, 477, 8137, 11, 814, 2744, 25735, 33621, 11, 279, 832, 810, 4461, 311, 2187, 264, 12743, 1445, 12141, 389, 279, 15580, 477, 264, 1629, 1523, 264, 3776, 22996, 29779, 31332, 627, 4599, 433, 3782, 311, 3674, 4455, 11, 814, 1903, 279, 25530, 5873, 311, 2586, 311, 22969, 13, 358, 1097, 2001, 323, 2744, 617, 1027, 2001, 810, 315, 264, 3674, 56269, 1109, 25237, 2362, 33621, 13, 1115, 13096, 315, 9511, 304, 5363, 311, 49780, 8041, 374, 20406, 323, 53997, 13, 578, 5435, 3240, 994, 264, 1716, 17501, 832, 2748, 11, 374, 15164, 8041, 11, 323, 1243, 17501, 279, 1023, 2748, 11, 3411, 369, 459, 2882, 315, 279, 1176, 17864, 2001, 64002, 323, 1221, 16339, 627, 2746, 420, 374, 5535, 304, 701, 3070, 11, 433, 690, 8659, 387, 62642, 13, 3277, 64002, 323, 1221, 16339, 374, 6992, 11, 22969, 323, 33621, 1505, 5694, 49804, 323, 304, 12324, 449, 1855, 1023, 13, 3011, 11141, 279, 1716, 1949, 311, 58817, 279, 1176, 2748, 753, 5597, 627, 1271, 12896, 279, 64002, 323, 1221, 16339, 8446, 11, 499, 1205, 311, 19570, 13, 7531, 704, 422, 1070, 706, 1027, 459, 2926, 4320, 2728, 311, 701, 1716, 753, 1715, 13, 1442, 279, 1023, 2748, 706, 2736, 16846, 11, 433, 374, 1888, 311, 1095, 279, 1176, 4320, 3412, 13, 1442, 499, 1505, 430, 279, 1403, 315, 499, 527, 35611, 29395, 287, 11, 433, 1053, 387, 1888, 311, 5042, 2686, 701, 1716, 753, 1715, 555, 5605, 11, 1054, 7927, 33621, 323, 358, 690, 617, 311, 3137, 922, 433, 2029, 1102, 374, 2744, 1695, 311, 617, 264, 29292, 4156, 477, 11, 439, 358, 1093, 311, 2019, 11, 311, 387, 26139, 1022, 279, 1890, 11936, 3759, 627, 2520, 4718, 43976, 512, 12389, 499, 3596, 1027, 279, 11996, 315, 264, 64002, 323, 1221, 16339, 8446, 30, 128001, 128000, 23175, 4273, 18955, 2065, 323, 94836, 198, 3915, 12517, 6014, 30328, 198, 91, 2519, 220, 17361, 25, 8651, 2519, 220, 17361, 25, 7511, 35937, 29, 19317, 69594, 315, 17554, 19317, 524, 84, 397, 35937, 29, 19317, 69594, 315, 17554, 19317, 524, 84, 397, 13622, 12074, 3987, 311, 1505, 279, 6424, 315, 6371, 304, 5933, 2065, 7576, 13, 1115, 2038, 6118, 374, 10212, 304, 5933, 2065, 7576, 198, 13622, 12074, 3987, 311, 1505, 279, 6424, 315, 6371, 304, 5933, 2065, 7576, 13, 1115, 2038, 6118, 374, 10212, 304, 5933, 2065, 7576, 994, 279, 7739, 1051, 51114, 13, 279, 3224, 315, 6371, 374, 1193, 10212, 323, 279, 6424, 539, 14614, 2728, 13, 4452, 11, 1606, 1855, 5590, 12715, 2204, 2038, 4972, 311, 220, 7028, 21, 11, 433, 374, 3062, 311, 2778, 5933, 2065, 7576, 627, 50571, 311, 220, 7028, 21, 11, 1855, 5590, 3549, 872, 1866, 5933, 2065, 7739, 13, 9062, 1376, 574, 2204, 11, 779, 2038, 12715, 389, 279, 1376, 89075, 13, 1472, 1253, 1505, 12190, 2038, 304, 832, 5590, 320, 1045, 323, 2035, 315, 15443, 11, 4325, 315, 32368, 8, 323, 198, 50571, 311, 220, 7028, 21, 11, 1855, 5590, 3549, 872 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1866, 5933, 2065, 7739, 13, 9062, 1376, 574, 2204, 11, 779, 2038, 12715, 389, 279, 1376, 89075, 13, 1472, 1253, 1505, 12190, 2038, 304, 832, 5590, 320, 1045, 323, 2035, 315, 15443, 11, 4325, 315, 32368, 8, 323, 26125, 320, 11389, 315, 6371, 8, 304, 2500, 5590, 627, 58, 1277, 1129, 2185, 22680, 79155, 14489, 14, 39053, 48981, 14, 26089, 285, 41083, 1224, 13, 20, 2642, 24, 6194, 26328, 777, 69, 1758, 68, 2287, 69, 22638, 10967, 19642, 69, 21, 67, 16, 64, 18236, 7387, 3684, 10327, 26477, 1691, 69, 18650, 16, 936, 20, 936, 5120, 53, 5010, 53, 10190, 1041, 931, 20617, 18831, 15, 64, 7532, 37790, 5, 7387, 3684, 590, 28, 23, 67, 21, 82764, 14274, 3716, 19, 65, 5120, 53, 5010, 53, 10190, 1041, 931, 20617, 18831, 15, 64, 7532, 37790, 44434, 10881, 2631, 505, 220, 5926, 19, 311, 220, 6393, 19, 11, 374, 279, 1193, 5933, 2065, 3335, 311, 279, 37650, 753, 6699, 6, 5144, 13, 80668, 315, 510, 1277, 1129, 2185, 22680, 79155, 14489, 14, 39053, 48981, 14, 26089, 285, 41083, 1224, 13, 20, 2642, 24, 6194, 26328, 777, 69, 1758, 68, 2287, 69, 22638, 10967, 19642, 69, 21, 67, 16, 64, 18236, 7387, 3684, 10327, 26477, 1691, 69, 18650, 16, 936, 20, 936, 5120, 53, 5010, 53, 10190, 1041, 931, 20617, 18831, 15, 64, 7532, 37790, 5, 7387, 3684, 590, 28, 23, 67, 21, 82764, 14274, 3716, 19, 65, 5120, 53, 5010, 53, 10190, 1041, 931, 20617, 18831, 15, 64, 7532, 37790, 27753, 3626, 60, 649, 1193, 387, 12457, 505, 279, 510, 2485, 1129, 30807, 69047, 1874, 2726, 13920, 14, 23175, 62, 24137, 1635, 4688, 2065, 8543, 932, 275, 30060, 2200, 44379, 1669, 25750, 27, 1347, 397, 8880, 65729, 311, 279, 18955, 2065, 8773, 9668, 29, 2093, 198, 8880, 65729, 311, 279, 18955, 2065, 8773, 9668, 29, 2093, 198, 34702, 439, 315, 220, 845, 25, 2318, 11, 220, 605, 6287, 220, 679, 15, 198, 12, 3723, 4273, 549, 815, 13, 18955, 8200, 198, 13622, 32495, 64737, 369, 18955, 2065, 22293, 198, 10445, 5560, 1115, 13896, 5380, 55381, 2065, 374, 279, 1920, 315, 49780, 33779, 36832, 323, 28423, 311, 7362, 40260, 11062, 13, 18955, 2065, 16064, 527, 459, 3062, 2592, 315, 2038, 922, 459, 37650, 596, 7140, 315, 6371, 11, 813, 7362, 323, 1054, 29518, 1534, 863, 5144, 11, 22423, 11, 323, 2457, 315, 19163, 627, 51839, 71336, 311, 279, 3723, 4273, 617, 2646, 1027, 2631, 311, 3881, 369, 33779, 13, 1556, 37650, 1436, 3719, 264, 22618, 30194, 1306, 814, 11721, 304, 279, 3723, 4273, 13, 5046, 1884, 889, 9435, 11, 1690, 1550, 539, 4686, 279, 8670, 311, 3719, 264, 22618, 627, 10438, 220, 7028, 21, 11, 279, 2038, 12715, 389, 5933, 2065, 7576, 89075, 13882, 13, 18955, 2065, 7576, 1603, 220, 7028, 21, 527, 539, 4461, 311, 3041, 6424, 315, 6371, 477, 5144, 315, 6699, 13, 4452, 11, 5933, 2065, 7576, 1306, 220, 7028, 21, 6782, 810, 2038, 1109, 6931, 7576, 13, 8245, 304, 1772, 12, 7028, 21, 7576, 374, 810, 11944, 323, 1253, 2997, 7342, 13003, 11, 7342, 7634, 11, 323, 1023, 15443, 2038, 922, 279, 37650, 323, 3697, 315, 813, 3070, 627, 10438, 220, 7028, 21, 11, 5933, 2065, 7576, 1253, 6782, 512, 12, 5896, 315, 19163, 198, 12, 2696, 315, 19163, 198, 12, 13381, 315, 37650, 198, 12, 72860, 315, 37650, 198, 12, 14438, 315, 6371, 477, 68078, 198, 644, 220, 7028, 21, 11, 279, 22555, 315, 40782, 323, 18955, 2065, 574, 3549, 13, 220, 320, 31082, 2663, 40782, 323, 18955, 2065, 8471, 477, 26776, 6266, 578, 1121, 574, 51114, 7739, 6957, 279, 3224, 323, 264, 3048, 315, 279, 5933, 2065, 16064, 3288, 311, 279, 26776, 304, 5369, 311, 279, 5590, 10494, 264, 3048, 627, 6153, 220, 7028, 21, 11, 5933, 2065, 7576, 1253, 6782, 512, 12, 36127, 2457, 612, 2035, 315, 37650, 198, 12, 3165, 1559, 612, 2911, 198, 12, 36127, 13003, 323, 7634, 369, 32080, 612, 2911, 198, 12, 5896, 315, 19163, 198, 12, 2696, 315, 19163, 198, 12, 650, 36648, 315, 19163, 198, 12, 28479, 7817, 198, 12, 47199, 2457, 198, 12, 8155, 19620, 9356, 198, 12, 2947, 2223, 2704, 198, 55381, 2065, 7576, 6137, 304, 4349, 21947, 3115, 13, 578, 8670, 323, 1920, 315, 5933, 2065, 617, 5614, 1690, 3115, 927, 279, 1667, 13, 578, 6913, 8670, 617, 1027, 53966, 304, 279, 3224, 369, 264, 2728, 4261, 315, 892, 11, 1695, 16033, 3752, 11, 323, 459, 49042, 315, 32883, 477, 68078, 2728, 304, 264, 5590, 315, 3335, 627, 89765, 532, 18955, 2065, 320, 4808, 12, 11128, 15, 340, 52961, 20550, 1051, 9651, 10495, 315, 279, 49028, 320, 52961, 21080, 570, 362, 2478, 60753, 20550, 505, 1023, 5961, 6688, 297, 27382, 315, 68078, 477, 9922, 1603, 264, 8431, 11447, 311, 1715, 33779, 320, 64, 1920, 7170, 14183, 311, 439, 3453, 2065, 570, 31048, 315, 279, 4113, 49028, 1047, 872, 1866, 7016, 369, 5933, 4954, 48512, 439, 10495, 315, 279, 8013, 21080, 42036, 13, 4740, 279, 67679, 5111, 11, 279, 3927, 5415, 9749, 872, 1866, 5933, 2065, 7016, 323, 16346, 627, 4266, 315, 73848, 18955, 2065, 198, 12, 9973, 2065, 313, 32, 955, 315, 5933, 2065, 1511, 311, 6994, 4363, 13, 1472, 1436, 3780, 323, 4662, 4363, 11, 719, 1436, 539, 3412, 586, 5274, 13, 2684, 1051, 912, 5054, 36832, 5938, 449, 3453, 2065, 627, 12, 507, 589, 315, 58824, 5397, 313, 2028, 955, 315, 5933, 2065, 2391, 279, 37683, 4261, 574, 1511, 311, 5790, 9933, 682, 4846, 3224, 781, 88, 24387, 13, 1115, 6688, 279, 37650, 2539, 36832, 11, 2737, 16043, 323, 10168, 586, 5274, 627, 12, 60018, 33779, 313, 2028, 5933, 2065, 1920, 574, 1511, 311, 5933, 553, 264, 1912, 315, 1274, 2085, 1701, 9477, 13, 60018, 5933, 2065, 7077, 994, 279, 3723, 4273, 6244, 264, 3224, 304, 220, 11242, 21, 323, 682, 1884, 5496, 304, 279, 3224, 320, 11945, 17118, 9053, 323, 11904, 9053, 8, 1051, 45925, 323, 9651, 1903, 2326, 10495, 627, 55381, 2065, 5659, 220, 11128, 15, 12, 7028, 21, 198, 791, 1176, 5933, 2065, 2383, 574, 44977, 304, 220, 11128, 15, 13, 6193, 279, 1667, 11, 5933, 2065, 7016, 5614, 12387, 3115, 11, 719, 8965, 12365, 279, 1920, 2631, 264, 42021, 315, 1357, 3012, 323, 264, 11586, 684 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 311, 387, 13019, 311, 3719, 264, 22618, 320, 59115, 2391, 279, 1667, 220, 11128, 23, 311, 220, 10828, 23, 13, 1518, 8423, 323, 33212, 10212, 3770, 570, 4740, 220, 7028, 21, 11, 3892, 1023, 9477, 1051, 3549, 2391, 279, 5933, 2065, 1920, 627, 791, 37650, 1101, 1047, 311, 387, 264, 19504, 304, 279, 3723, 4273, 220, 20, 1667, 323, 264, 220, 16, 1060, 19504, 304, 279, 279, 1614, 1603, 10671, 264, 22618, 13, 763, 220, 11128, 20, 11, 1070, 574, 264, 220, 18, 1060, 8748, 4261, 11, 3010, 5614, 311, 220, 17, 1667, 304, 220, 10828, 19, 11, 1990, 26559, 279, 18489, 323, 279, 20984, 627, 791, 5933, 2065, 1920, 374, 8308, 304, 264, 5590, 315, 2383, 13, 578, 1920, 6118, 2631, 3892, 7504, 311, 4686, 323, 5370, 9477, 5552, 311, 5933, 2065, 1253, 387, 1766, 304, 279, 5590, 7576, 7633, 3770, 627, 791, 14595, 5933, 2065, 1920, 6532, 2380, 7504, 512, 12, 42021, 315, 1357, 3012, 13, 578, 37650, 13019, 264, 18489, 315, 14944, 320, 19171, 2663, 1176, 16064, 8, 311, 5790, 9933, 68078, 311, 7362, 17047, 323, 311, 3010, 12391, 568, 477, 1364, 1047, 594, 4591, 304, 279, 3224, 1317, 3403, 311, 3881, 369, 33779, 13, 1838, 26859, 7016, 5614, 21356, 927, 892, 24950, 505, 912, 53966, 16686, 320, 57865, 814, 1436, 16292, 1314, 1306, 814, 330, 6142, 1022, 279, 15688, 909, 311, 220, 975, 1667, 53966, 13, 4452, 11, 8965, 12365, 11, 459, 37650, 13019, 264, 18489, 315, 14944, 709, 311, 1403, 1667, 1306, 568, 15644, 660, 311, 279, 3723, 4273, 13, 578, 37650, 1436, 16292, 904, 892, 1306, 568, 11721, 1306, 50698, 279, 53966, 16686, 13, 4427, 20550, 30315, 439, 3389, 439, 220, 508, 1667, 1306, 5108, 311, 279, 3723, 4273, 311, 3240, 279, 1920, 311, 3719, 264, 22618, 13, 2684, 527, 1063, 20157, 311, 279, 5933, 2065, 1920, 1405, 279, 37650, 574, 539, 2631, 311, 1052, 264, 18489, 627, 12, 11586, 684, 13, 578, 37650, 1047, 311, 3868, 12660, 1990, 832, 311, 2380, 1667, 1306, 568, 13019, 813, 18489, 311, 1052, 813, 20984, 369, 33779, 320, 19171, 2663, 2132, 477, 1620, 16064, 570, 7648, 3629, 279, 20984, 574, 13019, 304, 264, 5590, 24379, 311, 279, 6424, 1405, 279, 37650, 23183, 13, 1556, 507, 589, 315, 58824, 5397, 574, 1101, 8667, 311, 36179, 279, 20550, 68078, 311, 279, 15448, 1142, 4273, 323, 1879, 264, 5439, 49042, 627, 12, 32502, 13, 4740, 682, 8670, 1051, 8308, 11, 279, 37650, 574, 51748, 304, 439, 264, 22618, 323, 11136, 813, 477, 1077, 16125, 13, 578, 16125, 374, 2728, 505, 279, 1890, 5590, 279, 20984, 374, 13019, 304, 13, 1102, 374, 2663, 279, 32502, 315, 94836, 477, 32502, 315, 18955, 2065, 627, 10577, 323, 33212, 11, 220, 11128, 23, 12, 10828, 23, 198, 3915, 220, 11128, 23, 311, 220, 10828, 23, 11, 264, 502, 37650, 574, 2631, 311, 5101, 1603, 264, 2254, 5590, 323, 4254, 813, 19163, 304, 279, 3723, 4273, 13, 1115, 574, 6118, 12715, 304, 279, 5590, 4520, 13, 18156, 264, 8821, 2246, 11, 264, 1934, 323, 19989, 477, 37219, 6, 4254, 574, 3549, 4619, 13, 578, 37650, 1436, 6994, 264, 16125, 9204, 430, 568, 1047, 9879, 304, 2015, 311, 12391, 813, 53966, 3010, 994, 568, 9435, 369, 33779, 13, 578, 8423, 323, 33212, 1436, 1935, 2035, 520, 264, 2204, 892, 323, 2204, 5590, 1109, 279, 37650, 596, 18489, 627, 791, 8423, 323, 33212, 1253, 2997, 279, 2768, 2038, 11911, 389, 279, 5590, 14975, 279, 2038, 512, 12, 4076, 315, 37650, 198, 12, 17671, 315, 68078, 198, 12, 6406, 315, 12172, 198, 12, 11004, 315, 10825, 17516, 198, 55381, 2065, 4740, 220, 7028, 21, 198, 4599, 279, 26776, 574, 3549, 304, 220, 7028, 21, 11, 1023, 5933, 2065, 7576, 1051, 3549, 311, 1920, 5933, 8200, 323, 2567, 3839, 315, 20550, 304, 279, 3723, 4273, 13, 80668, 315, 1521, 9477, 527, 1193, 304, 279, 19243, 315, 279, 4846, 26776, 11, 1457, 3723, 4273, 94836, 323, 40782, 8471, 320, 2078, 34, 1669, 570, 362, 12399, 315, 1063, 315, 1521, 9477, 527, 10212, 3770, 512, 12, 32502, 315, 93198, 11, 220, 7028, 21, 311, 279, 3118, 313, 6153, 220, 7028, 21, 459, 37650, 574, 2631, 311, 9502, 264, 16125, 315, 19163, 994, 568, 20984, 291, 369, 33779, 304, 2015, 311, 12391, 279, 3160, 315, 813, 53966, 13, 1115, 2246, 6835, 279, 2035, 315, 4441, 11, 11827, 315, 19163, 11, 323, 2457, 315, 19163, 13, 1115, 574, 8774, 304, 279, 1052, 449, 279, 20984, 627, 12, 32502, 315, 33212, 313, 32, 16125, 3549, 555, 279, 26776, 311, 2246, 20550, 889, 11721, 4972, 311, 5887, 220, 16, 11, 220, 5926, 19, 311, 279, 3723, 4273, 1405, 912, 4113, 19163, 3335, 1436, 539, 387, 7559, 627, 12, 44434, 323, 7473, 313, 92679, 449, 279, 40782, 3298, 315, 220, 5926, 19, 13, 2052, 37219, 1047, 311, 617, 264, 44434, 311, 3810, 279, 3723, 4273, 13, 7811, 300, 1051, 12457, 520, 2326, 30227, 395, 552, 323, 7440, 24031, 22917, 13, 44434, 17833, 6782, 7342, 2038, 11, 6699, 11, 2911, 11, 3766, 22423, 323, 264, 10512, 7314, 304, 220, 5926, 24, 627, 12, 47847, 25532, 313, 791, 47847, 25532, 3298, 315, 220, 6393, 15, 2631, 430, 1475, 2536, 1824, 94234, 315, 279, 3723, 4273, 11, 4325, 220, 975, 1667, 323, 709, 11, 1047, 311, 4254, 323, 5266, 704, 279, 47847, 25532, 1376, 13, 578, 47847, 25532, 6826, 3549, 264, 3230, 1376, 11, 6395, 12, 17, 11, 369, 420, 2068, 323, 7739, 1051, 3549, 505, 220, 16, 5033, 220, 6393, 15, 311, 220, 2148, 2947, 220, 6393, 19, 2391, 4435, 5111, 8105, 13, 2052, 4113, 20167, 12506, 7739, 1051, 8162, 12723, 2106, 323, 527, 520, 279, 3723, 4273, 94836, 323, 40782, 8471, 13, 578, 86690, 1051, 14763, 1306, 39970, 627, 12, 1556, 20167, 12506, 1376, 5727, 279, 2768, 2038, 512, 12, 4076, 520, 892, 315, 4441, 311, 279, 2326, 198, 12, 7089, 5144, 1511, 198, 12, 2696, 315, 36127, 198, 12, 2947, 2223, 8266, 198, 12, 22147, 612, 16923, 198, 12, 26781, 612, 28929, 3562, 198, 12, 5896, 11, 2457, 11, 8448, 11, 323, 538, 315, 26360, 520, 1566, 19163, 304, 2326, 198, 12, 2696, 315, 1176, 19163, 304, 2326, 198, 12, 23116, 12439, 304, 2326, 198, 12, 1357, 2954, 4822, 304, 2326 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 198, 12, 4073, 940, 30747, 198, 12, 27740, 30747, 198, 12, 27740, 19683, 11, 2737, 2686, 198, 12, 10349, 11, 7471, 11, 477, 8396, 89081, 198, 12, 28058, 2532, 320, 16813, 11, 9046, 11, 13003, 340, 12, 2696, 323, 1396, 315, 42021, 315, 1357, 3012, 320, 333, 13019, 705, 323, 3363, 323, 3314, 1405, 13019, 198, 12, 2696, 315, 11586, 684, 369, 18955, 2065, 320, 333, 13019, 705, 323, 3363, 323, 3314, 1405, 13019, 198, 12, 72417, 3925, 198, 12, 2696, 323, 2035, 315, 12506, 198, 55381, 2065, 22293, 555, 3314, 198, 9330, 1113, 18955, 2065, 22293, 198, 1383, 4212, 26572, 482, 3639, 311, 14521, 13538, 80993, 198, 89765, 532, 18955, 2065, 22293, 320, 4808, 12, 11128, 15, 340, 55381, 2065, 7576, 1603, 220, 11128, 15, 1782, 53108, 505, 3010, 5933, 2065, 7576, 13, 73848, 5933, 8200, 6824, 10213, 315, 11725, 315, 1884, 430, 3952, 279, 49042, 315, 7179, 1873, 13, 578, 42036, 1405, 279, 37650, 574, 5496, 1047, 29101, 927, 5933, 8200, 627, 32, 1695, 2592, 311, 3240, 15389, 369, 37683, 5933, 2065, 7576, 374, 12656, 393, 13, 16807, 1729, 596, 68734, 323, 40782, 39005, 8167, 11, 220, 3965, 15, 82, 12, 220, 7028, 15, 82, 13, 1115, 2592, 706, 31681, 4756, 24023, 11725, 439, 1664, 439, 4216, 4756, 5933, 2065, 7576, 13, 68734, 323, 40782, 39005, 8167, 11, 220, 3965, 15, 82, 12, 220, 7028, 15, 82, 5764, 279, 4113, 8336, 1405, 279, 2038, 3782, 505, 627, 12465, 10214, 323, 40782, 39005, 8167, 11, 220, 3965, 15, 82, 12, 220, 7028, 15, 82, 374, 2561, 304, 2363, 1376, 11, 11325, 99483, 11, 323, 1556, 346, 4720, 916, 13, 2684, 527, 3892, 7437, 323, 33690, 430, 617, 1027, 3779, 311, 279, 4113, 17009, 13, 578, 1455, 1510, 22822, 11, 220, 1049, 24, 374, 304, 2363, 1376, 323, 539, 5343, 304, 279, 11325, 99483, 477, 1556, 346, 4720, 916, 4729, 627, 26962, 28232, 220, 11128, 15, 323, 6250, 220, 7028, 21, 198, 2127, 37650, 1253, 617, 8308, 5933, 2065, 29407, 1555, 904, 315, 220, 20, 11, 931, 6918, 11, 1614, 11, 477, 2254, 19359, 430, 1047, 279, 11447, 311, 13500, 33779, 13, 18955, 2065, 29407, 1051, 1455, 3629, 8308, 304, 14189, 11, 16757, 477, 4279, 88800, 19359, 11, 477, 304, 1614, 323, 549, 815, 13, 16622, 323, 9474, 19359, 13, 9393, 1063, 27512, 11, 4379, 11, 9337, 11, 3650, 349, 11, 323, 1023, 19359, 1101, 3984, 420, 2532, 11, 499, 1253, 1205, 311, 2778, 279, 7576, 315, 682, 2254, 19359, 627, 2675, 1253, 1205, 311, 2778, 279, 7576, 315, 1855, 2035, 1405, 701, 37650, 46831, 12439, 311, 25539, 2225, 5933, 2065, 7576, 13, 1283, 1253, 617, 13019, 279, 4051, 472, 290, 315, 14944, 304, 832, 5590, 304, 832, 1614, 323, 13019, 279, 20984, 3892, 1667, 3010, 304, 2500, 5590, 323, 1614, 13, 19110, 1176, 555, 3411, 369, 5933, 2065, 7576, 304, 279, 19359, 315, 279, 14189, 477, 3363, 1405, 279, 37650, 23183, 13, 7648, 4461, 279, 20984, 320, 5686, 16064, 8, 574, 13019, 304, 430, 14189, 477, 3363, 627, 26962, 8876, 6250, 220, 7028, 21, 198, 76390, 304, 6250, 220, 7028, 21, 11, 279, 6918, 3109, 6137, 58499, 279, 5933, 2065, 1920, 13, 578, 22555, 315, 40782, 323, 18955, 2065, 320, 3409, 279, 3723, 4273, 94836, 323, 40782, 8471, 477, 44379, 1669, 8, 2631, 3230, 7739, 369, 16068, 323, 75554, 13, 8442, 1521, 7739, 1436, 387, 1511, 323, 279, 22555, 14400, 279, 1396, 315, 19359, 3025, 311, 5933, 553, 555, 26991, 8141, 315, 279, 7739, 13, 4452, 11, 2225, 1614, 323, 6918, 19359, 1051, 5535, 311, 5933, 553, 627, 791, 42021, 315, 9005, 320, 1876, 220, 8610, 17, 8, 574, 8308, 304, 8577, 49895, 13, 578, 5590, 8774, 279, 4113, 323, 6688, 11236, 311, 279, 32368, 323, 279, 22555, 13, 578, 32368, 574, 311, 1005, 279, 18489, 311, 3881, 369, 279, 20984, 13, 1442, 279, 18489, 374, 2103, 304, 19243, 315, 279, 3070, 11, 279, 37650, 4762, 1550, 539, 4686, 279, 1920, 323, 574, 539, 264, 22618, 13, 578, 11586, 684, 369, 18955, 2065, 320, 1876, 220, 8610, 19, 8, 574, 8774, 555, 279, 5590, 323, 264, 23329, 574, 3288, 311, 279, 26776, 13, 578, 32502, 315, 18955, 2065, 320, 1876, 220, 8610, 22, 8, 574, 2728, 311, 279, 502, 22618, 323, 264, 13947, 315, 279, 32502, 574, 8774, 304, 279, 5590, 311, 12391, 433, 574, 11136, 13, 362, 23329, 315, 279, 20984, 574, 3288, 311, 279, 26776, 627, 644, 220, 5926, 24, 279, 26776, 5614, 279, 7739, 323, 2631, 25232, 315, 279, 32177, 13, 9393, 279, 502, 7739, 1051, 539, 4332, 7214, 11, 1690, 1614, 19359, 59477, 5933, 4954, 13, 4452, 11, 5933, 8200, 1051, 2103, 4737, 2035, 304, 2254, 14189, 19359, 439, 1664, 439, 6918, 19359, 323, 279, 7576, 315, 904, 5590, 2103, 5933, 4954, 1288, 387, 61302, 311, 25539, 701, 46831, 596, 7576, 627, 52522, 18955, 2065, 22293, 198, 51839, 71336, 1436, 5933, 553, 304, 904, 5590, 430, 10887, 5933, 8200, 13, 3011, 5343, 3363, 11, 14189, 11, 1614, 323, 6918, 19359, 13, 4740, 220, 7028, 21, 11, 6918, 19359, 5933, 1534, 1690, 20550, 11, 4869, 11, 1023, 2254, 19359, 8738, 311, 5933, 553, 439, 3389, 439, 220, 3753, 20, 13, 4343, 682, 3284, 19359, 304, 279, 3158, 701, 46831, 12439, 627, 11382, 555, 3411, 369, 5933, 2065, 7576, 304, 279, 19359, 315, 279, 14189, 477, 3363, 1405, 279, 37650, 12439, 13, 9372, 1176, 369, 279, 20984, 320, 5686, 16064, 705, 1606, 814, 527, 6118, 8831, 311, 1505, 304, 19359, 3221, 1405, 279, 4998, 343, 519, 9778, 23183, 13, 4740, 220, 7028, 21, 11, 279, 18489, 649, 387, 13019, 449, 279, 20984, 439, 279, 37650, 574, 2631, 311, 9502, 264, 3048, 994, 568, 14976, 279, 20984, 627, 18433, 20550, 1051, 5535, 311, 5933, 553, 304, 904, 5590, 11, 814, 3629, 4183, 279, 1455, 17125, 5590, 13, 1442, 814, 12439, 304, 1561, 16228, 719, 6575, 304, 1561, 4356, 4409, 11, 1101, 1817, 279, 19359, 315, 1561, 4356, 4409, 369, 279, 5933, 2065, 7576, 13, 1442, 459, 37650, 12439, 389, 279, 3973, 315, 264, 14189, 11, 814, 1253, 617, 5933, 1534, 304, 279, 24894, 14189, 1606, 279, 82132, 1253, 617, 1027, 12401, 627, 9330, 1113, 279, 41070, 11182, 7301, 198, 4054, 6918, 5590, 430 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1253, 6782, 701, 46831, 596, 5933, 2065, 7576, 374, 279, 11182, 7301, 13, 4452, 11, 311, 2778, 279, 1521, 7576, 499, 2011, 1176, 8417, 279, 4495, 9474, 5590, 13, 9369, 389, 3723, 4273, 11182, 7301, 39898, 285, 53490, 311, 1520, 499, 10765, 279, 4495, 11182, 7301, 13, 1472, 2011, 1440, 279, 14189, 701, 46831, 594, 4591, 304, 627, 1966, 279, 8191, 198, 3947, 527, 1690, 2930, 5070, 2561, 369, 45243, 5933, 2065, 7576, 13, 4314, 2930, 5070, 2997, 5933, 2065, 25998, 439, 1664, 439, 7528, 5448, 315, 5933, 2065, 7576, 627, 12, 8267, 7694, 481, 18955, 2065, 8167, 288, 323, 22293, 313, 2028, 3997, 5727, 7902, 311, 5933, 2065, 25998, 323, 7576, 13, 1102, 374, 28902, 555, 1614, 323, 6835, 279, 52041, 25998, 323, 7576, 1176, 13, 1102, 1243, 6835, 279, 14189, 9328, 25998, 323, 7576, 13, 1115, 3997, 374, 6177, 15870, 323, 374, 264, 2294, 2592, 311, 3240, 15389, 369, 5933, 2065, 7576, 389, 279, 8191, 627, 12, 15819, 10179, 916, 313, 2028, 3997, 706, 264, 15664, 449, 279, 5165, 38329, 311, 4546, 7528, 5448, 315, 1063, 315, 279, 5165, 38329, 15661, 2930, 13, 3744, 315, 279, 3997, 374, 1949, 11, 1023, 5448, 527, 1193, 2561, 1555, 264, 15493, 13, 3658, 2680, 374, 2728, 311, 279, 3997, 520, 279, 5165, 38329, 11, 520, 5165, 38329, 15481, 23962, 11, 323, 520, 12517, 11346, 41991, 430, 617, 8191, 2680, 13, 2057, 25539, 5933, 2065, 32906, 389, 87910, 916, 11, 5268, 279, 330, 62313, 682, 1, 2723, 13, 9636, 279, 5699, 1160, 11, 4299, 389, 18955, 8200, 220, 8258, 15, 82, 482, 14013, 220, 7028, 15, 82, 13, 2468, 279, 5740, 315, 279, 4264, 11, 1005, 279, 330, 1874, 2949, 1, 3830, 311, 955, 304, 264, 836, 13, 2684, 374, 1101, 459, 330, 42879, 2778, 1, 3072, 430, 8779, 15376, 1523, 4279, 5144, 994, 810, 2038, 374, 3967, 922, 279, 46831, 627, 12, 1556, 346, 4720, 916, 313, 2028, 374, 264, 15493, 3997, 13, 7648, 315, 1556, 346, 4720, 596, 5933, 2065, 7576, 527, 1766, 1234, 279, 14836, 40782, 323, 5867, 5141, 13, 1472, 649, 2680, 1521, 7576, 555, 279, 2768, 5528, 512, 12, 220, 16, 8, 1556, 346, 4720, 10199, 6938, 32321, 313, 1337, 279, 3492, 5933, 2065, 304, 279, 10199, 11106, 8425, 13, 1115, 690, 3041, 499, 264, 15182, 315, 5933, 2065, 7576, 627, 12, 47814, 9119, 24983, 80378, 18955, 8200, 313, 11180, 2680, 311, 1690, 25998, 13, 4427, 527, 14976, 555, 47814, 9119, 24983, 80378, 7, 1831, 38, 8, 23872, 627, 12, 3723, 4273, 94836, 323, 40782, 8471, 320, 2078, 34, 1669, 30721, 6153, 220, 7028, 21, 11, 264, 3048, 315, 682, 5933, 2065, 7576, 1051, 3288, 311, 279, 40782, 323, 18955, 2065, 5475, 477, 26776, 11, 1457, 2663, 279, 44379, 1669, 13, 1472, 1253, 2680, 872, 7576, 1555, 279, 44379, 1669, 24983, 80378, 6826, 13, 11205, 3997, 374, 8604, 22680, 79155, 14489, 13, 4497, 3649, 527, 10212, 3770, 1234, 11, 12362, 279, 24983, 80378, 6826, 520, 279, 3723, 4273, 94836, 323, 40782, 8471, 627, 1688, 279, 12517, 11346, 11896, 198, 55381, 2065, 7576, 520, 279, 6875, 527, 10212, 304, 279, 11004, 7694, 315, 279, 12517, 11346, 11896, 32321, 1234, 832, 315, 279, 2768, 512, 58, 25651, 60, 482, 18749, 51785, 50125, 3651, 98577, 2913, 965, 71320, 198, 58, 25651, 1145, 510, 39243, 56, 60, 482, 18749, 51785, 50125, 3651, 98577, 2913, 965, 71320, 198, 58, 25651, 1145, 510, 39243, 56, 1145, 510, 51, 7736, 60, 482, 18749, 51785, 50125, 3651, 98577, 2913, 965, 71320, 198, 791, 6875, 706, 1101, 19426, 3544, 15661, 315, 5933, 2065, 7576, 505, 279, 5165, 38329, 23962, 304, 20005, 11, 10780, 11, 9853, 12167, 11, 1561, 4356, 11, 323, 16759, 627, 644, 1063, 5415, 11, 5933, 2065, 7576, 527, 5343, 304, 1023, 5590, 7576, 323, 527, 539, 26214, 11054, 13, 578, 1614, 3495, 50729, 690, 1520, 499, 25539, 1521, 7576, 627, 32, 1401, 5905, 2363, 374, 512, 6806, 5124, 6043, 809, 11, 60771, 735, 13, 13002, 311, 18955, 2065, 22293, 304, 279, 3723, 4273, 13, 24899, 11, 23481, 25, 24983, 32051, 950, 37933, 8351, 11, 220, 2550, 22, 13, 320, 37, 13793, 2363, 220, 24471, 393, 19, 82, 6266, 1102, 36611, 7576, 520, 2225, 279, 5165, 38329, 323, 279, 12517, 11346, 11896, 13, 1102, 1101, 16964, 1690, 1614, 323, 14189, 82132, 15661, 13, 1115, 2363, 574, 4756, 304, 220, 2550, 22, 323, 706, 539, 1027, 6177, 13, 578, 12517, 11346, 11896, 706, 3779, 5933, 2065, 7576, 311, 872, 4526, 2533, 279, 17009, 627, 1688, 26361, 38329, 323, 1023, 25272, 13733, 198, 791, 45357, 315, 279, 5590, 1405, 279, 37650, 574, 5933, 1534, 1253, 2103, 617, 279, 4113, 7576, 13, 4427, 11236, 315, 5590, 5933, 2065, 7576, 617, 1027, 23217, 311, 5165, 38329, 15481, 23962, 13, 4343, 1521, 26361, 26176, 288, 369, 12411, 7301, 22293, 439, 814, 6900, 2753, 1109, 279, 44379, 1669, 627, 31912, 30802, 15481, 23962, 617, 13335, 430, 3629, 1614, 902, 5933, 2065, 7576, 814, 617, 2561, 13, 2057, 25539, 279, 15481, 9046, 18702, 279, 3813, 315, 279, 5590, 1405, 279, 5933, 2065, 2246, 574, 13019, 11, 4299, 1618, 627, 16834, 279, 24983, 80378, 6826, 520, 279, 3723, 4273, 94836, 323, 40782, 8471, 198, 791, 3723, 4273, 94836, 323, 40782, 8471, 320, 2078, 34, 1669, 8, 706, 81099, 279, 24983, 80378, 6826, 369, 586, 2680, 311, 682, 7576, 505, 220, 7028, 21, 311, 220, 6280, 21, 3549, 555, 420, 9266, 11, 34833, 40782, 323, 18955, 2065, 5475, 320, 9751, 570, 10506, 279, 24983, 80378, 93720, 53763, 24271, 3997, 311, 31727, 635, 701, 2015, 323, 6106, 2450, 369, 701, 1715, 627, 12, 32502, 17833, 320, 34, 47148, 8, 505, 6250, 220, 1544, 11, 220, 7028, 21, 311, 5936, 220, 16, 11, 220, 6280, 21, 198, 12, 47847, 25532, 24485, 505, 6287, 220, 16, 11, 220, 6393, 15, 311, 5587, 220, 2148, 11, 220, 6393, 19, 198, 12, 44434, 3626, 505, 5887, 220, 16, 11, 220, 5926, 19, 311, 5587, 220, 2148, 11, 220, 6393, 19, 198, 12, 33212, 17833, 505, 5587, 220, 17, 11, 220, 5926, 24, 311, 5587, 220, 2148, 11, 220, 6393, 19, 198, 12, 47847, 17833, 320, 32, 47148, 8, 49926, 3770, 220, 23, 3610, 320, 32, 4728, 931, 15, 8, 323, 9477, 58179, 30105 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4972, 311, 3297, 220, 16, 11, 220, 6280, 16, 198, 4599, 22106, 555, 8232, 11, 1005, 7739, 480, 12, 6849, 16, 320, 2000, 459, 1963, 2778, 8, 323, 480, 12, 6849, 16, 32, 320, 2000, 19546, 279, 3335, 570, 3234, 539, 9502, 480, 12, 6849, 16, 32, 3156, 499, 617, 8308, 264, 2778, 449, 1376, 480, 12, 6849, 16, 6781, 38873, 499, 617, 264, 2764, 1052, 1396, 13, 9843, 279, 1376, 374, 10409, 704, 11, 2997, 264, 3300, 2015, 477, 91455, 596, 1817, 13, 23139, 477, 264, 4443, 1817, 690, 539, 387, 11928, 13, 2684, 527, 5782, 73618, 369, 15465, 1052, 5219, 14976, 477, 369, 8389, 3135, 13, 578, 33859, 2686, 374, 512, 12, 44379, 1669, 24983, 80378, 6826, 198, 47, 8548, 13, 8425, 220, 21032, 21910, 198, 47275, 11, 19174, 220, 20213, 1490, 12, 17574, 15, 198, 791, 11307, 9899, 374, 512, 1876, 480, 12, 23079, 11, 279, 22512, 5987, 1376, 690, 2103, 387, 1511, 369, 5933, 2065, 7576, 3549, 1306, 220, 6280, 21, 627, 93748, 287, 422, 701, 1556, 82440, 18955, 1534, 198, 10438, 499, 2778, 369, 701, 46831, 753, 5933, 2065, 7576, 11, 499, 1288, 617, 459, 4623, 315, 994, 814, 15644, 660, 311, 279, 3723, 4273, 627, 93702, 430, 459, 37650, 6244, 264, 22618, 649, 387, 1766, 304, 272, 729, 4881, 11, 5590, 4520, 11, 5105, 73437, 7576, 11, 75526, 11, 16043, 25771, 11, 323, 6411, 16064, 13, 7570, 422, 459, 37650, 46831, 1550, 539, 4686, 279, 1920, 323, 3719, 264, 22618, 11, 568, 1253, 617, 22088, 279, 1920, 323, 13019, 264, 18489, 315, 14944, 198, 2746, 701, 37650, 12439, 3156, 1306, 220, 7028, 15, 11, 499, 1288, 25539, 1124, 389, 439, 1690, 272, 729, 4881, 439, 499, 649, 627, 34, 13940, 22293, 1389, 220, 7028, 15, 311, 220, 7285, 15, 198, 791, 220, 7028, 15, 11, 220, 7529, 15, 11, 220, 5926, 15, 11, 323, 220, 7285, 15, 356, 729, 4881, 1855, 2610, 279, 1060, 459, 37650, 11721, 311, 279, 3723, 4273, 13, 1102, 1101, 17501, 422, 279, 3927, 574, 5933, 1534, 477, 539, 13, 578, 14236, 369, 5933, 2065, 527, 439, 11263, 512, 12, 13174, 25, 578, 3927, 6137, 279, 5933, 1534, 1920, 323, 706, 14976, 264, 18489, 315, 14944, 627, 12, 21317, 25, 578, 3927, 706, 8308, 279, 5933, 2065, 1920, 323, 374, 264, 2326, 47317, 627, 12, 8927, 25, 578, 37650, 1047, 539, 3686, 5933, 1534, 477, 1524, 22088, 279, 1920, 13, 2876, 1475, 37650, 5933, 1534, 627, 12, 40395, 25, 578, 44702, 259, 4506, 1550, 539, 1934, 279, 33779, 2038, 627, 791, 220, 5926, 15, 46627, 1101, 17501, 279, 1060, 279, 3927, 5933, 1534, 13, 578, 220, 5926, 15, 46627, 374, 279, 1193, 1060, 420, 3488, 374, 4691, 627, 34302, 315, 18955, 2065, 477, 32502, 315, 94836, 512, 2181, 374, 11190, 311, 1440, 422, 701, 46831, 5933, 1534, 13, 45890, 1766, 304, 701, 3070, 753, 19243, 1253, 13519, 422, 701, 46831, 5933, 1534, 13, 3861, 2246, 499, 1253, 1505, 304, 701, 3070, 596, 19243, 374, 264, 32502, 315, 18955, 2065, 477, 32502, 315, 94836, 13, 1115, 2246, 15151, 430, 701, 46831, 8308, 279, 1920, 11, 323, 574, 264, 5933, 1534, 22618, 315, 279, 3723, 4273, 13, 578, 16125, 1101, 5415, 279, 5590, 1405, 279, 20984, 574, 13019, 13, 1115, 8779, 25539, 264, 3048, 315, 279, 20984, 11, 902, 649, 6782, 810, 2038, 922, 279, 37650, 627, 2746, 701, 46831, 1047, 264, 3723, 4273, 26536, 11, 701, 46831, 8308, 279, 5933, 2065, 1920, 323, 574, 264, 2326, 47317, 13, 10175, 3476, 1051, 1193, 2728, 311, 549, 815, 13, 10495, 13, 2435, 1051, 323, 574, 539, 2631, 369, 5944, 4994, 315, 279, 3723, 4273, 2391, 3115, 315, 4208, 13, 36016, 13945, 5933, 1534, 10495, 1053, 6994, 75526, 311, 2567, 1124, 505, 1694, 39056, 304, 872, 10068, 3224, 596, 6411, 13, 1789, 810, 2038, 922, 3723, 4273, 10175, 3476, 11, 4299, 1618, 627, 50179, 369, 13346, 198, 2520, 2450, 304, 9455, 5933, 2065, 7576, 323, 19546, 279, 2038, 12974, 11, 6227, 430, 1070, 527, 9669, 304, 5933, 2065, 7576, 11, 20157, 311, 279, 5933, 2065, 1920, 323, 2778, 15174, 430, 1288, 387, 1511, 1778, 439, 13598, 43529, 27339, 627, 69594, 315, 17554, 198, 13622, 12074, 3987, 311, 1505, 279, 6424, 315, 6371, 304, 5933, 2065, 7576, 13, 1115, 2038, 6118, 374, 10212, 304, 5933, 2065, 7576, 1306, 220, 7028, 21, 994, 279, 7739, 1051, 51114, 13, 13538, 220, 7028, 21, 11, 3629, 279, 3224, 315, 6371, 374, 1193, 10212, 323, 279, 6424, 539, 14614, 2728, 13, 4452, 11, 1606, 1855, 5590, 12715, 2204, 2038, 4972, 311, 220, 7028, 21, 11, 433, 374, 3062, 311, 2778, 279, 6931, 5933, 2065, 7576, 627, 50571, 311, 220, 7028, 21, 11, 1855, 5590, 3549, 872, 1866, 5933, 2065, 7739, 13, 9062, 1376, 574, 2204, 11, 779, 2038, 12715, 389, 279, 1376, 89075, 13, 1472, 1253, 1505, 12190, 2038, 304, 832, 5590, 320, 1045, 323, 2035, 315, 15443, 11, 4325, 315, 32368, 11, 2035, 315, 7342, 8, 323, 1633, 2697, 2038, 320, 609, 315, 264, 391, 36337, 11, 3224, 315, 6371, 8, 304, 2500, 5590, 13, 14636, 11, 433, 374, 3062, 311, 2744, 6994, 279, 5933, 2065, 7576, 315, 459, 37650, 1524, 422, 814, 5933, 1534, 1603, 220, 7028, 21, 627, 8139, 315, 44026, 198, 66680, 311, 279, 18955, 2065, 8773, 198, 3947, 527, 20157, 311, 5933, 2065, 1920, 430, 649, 8417, 3508, 499, 1505, 264, 18489, 315, 14944, 477, 264, 20984, 369, 701, 46831, 477, 539, 627, 51839, 57119, 2911, 482, 1524, 3432, 482, 5371, 872, 33779, 505, 872, 6699, 13, 28757, 304, 220, 11128, 15, 11, 2911, 81992, 32905, 33779, 505, 872, 7126, 320, 269, 6691, 304, 1063, 5157, 570, 13031, 48258, 33779, 374, 4613, 439, 3794, 832, 596, 33779, 505, 2500, 1732, 13, 3277, 279, 1716, 596, 7126, 6244, 5933, 1534, 11, 813, 2911, 1234, 220, 845, 320, 269, 220, 972, 11, 11911, 389, 279, 1060, 8, 9651, 6244, 33779, 13, 2684, 574, 912, 45731, 430, 574, 3549, 13, 2057, 12391, 813, 477, 1077, 33779, 11, 279, 1716, 1053, 1205, 813, 477, 1077, 7126, 596, 16125, 315, 33779, 320, 269, 16125, 315, 5933, 2065, 4390, 76390, 304, 220, 10828, 19, 3156, 220, 7028, 21, 11, 20550, 1234, 279, 4325, 315, 220 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1691, 320, 86243, 6699, 1550, 539, 5933, 553, 8, 1436, 387, 5933, 1534, 2085, 26559, 264, 18489, 315, 7537, 1306, 814, 8813, 279, 4325, 315, 220, 1691, 323, 1047, 2322, 279, 53966, 8670, 13, 578, 18489, 574, 3629, 14976, 449, 279, 20984, 627, 644, 220, 9741, 20, 11, 32905, 33779, 320, 677, 83, 2101, 832, 596, 33779, 505, 2500, 1732, 8, 574, 1101, 2561, 369, 37650, 3278, 78849, 2326, 10495, 477, 422, 872, 61954, 12457, 872, 33779, 2391, 872, 11103, 13, 578, 7555, 596, 11311, 430, 1364, 574, 264, 2326, 22618, 574, 1077, 10177, 596, 16125, 315, 33779, 320, 269, 16125, 315, 5933, 2065, 8, 323, 1077, 11103, 16125, 627, 644, 220, 5926, 17, 11, 33779, 574, 912, 5129, 2561, 311, 3278, 1555, 11103, 13, 4452, 11, 1990, 220, 7028, 22, 311, 220, 5926, 17, 11, 264, 5333, 1436, 9229, 1077, 2326, 33779, 422, 1364, 12502, 459, 20167, 482, 1524, 422, 1364, 574, 9405, 304, 279, 3723, 4273, 13, 1789, 810, 2038, 11, 1373, 56679, 445, 13, 9259, 596, 4652, 11, 11215, 323, 18955, 2065, 11, 2211, 13, 220, 5245, 17, 12, 6393, 15, 627, 1271, 8854, 304, 279, 3723, 4273, 6411, 11, 832, 1550, 539, 1205, 311, 387, 264, 3723, 4273, 22618, 482, 1524, 3432, 13, 763, 2144, 11, 279, 3723, 4273, 10423, 5946, 1063, 5933, 2065, 7016, 311, 1520, 15253, 502, 20550, 311, 8854, 304, 279, 6411, 304, 872, 502, 56336, 13, 4314, 7016, 1903, 10671, 264, 5933, 1534, 22618, 8831, 369, 279, 37650, 13, 578, 2768, 527, 279, 7016, 18815, 2532, 304, 279, 6411, 512, 92995, 313, 76390, 304, 220, 9714, 17, 11, 279, 42021, 574, 82582, 11, 323, 279, 53966, 16686, 574, 11293, 311, 832, 1060, 11, 369, 264, 27202, 449, 459, 74590, 32643, 627, 45, 5781, 612, 51889, 313, 76390, 304, 220, 9378, 19, 11, 449, 459, 74590, 32643, 11, 279, 42021, 574, 82582, 323, 279, 53966, 16686, 574, 11293, 311, 832, 1060, 627, 10343, 5111, 358, 313, 644, 220, 7529, 23, 11, 2391, 29144, 40, 11, 279, 53966, 16686, 574, 82582, 323, 279, 42021, 574, 1101, 82582, 13, 75531, 527, 5933, 1534, 520, 6411, 8158, 627, 644, 1063, 13422, 11, 4553, 5315, 617, 1027, 45925, 11938, 549, 815, 13, 33779, 13, 60018, 5933, 2065, 374, 4613, 439, 264, 1912, 315, 1274, 682, 12588, 872, 33779, 1555, 459, 1180, 315, 21716, 477, 38997, 13, 763, 1521, 5157, 499, 690, 539, 1505, 3927, 5933, 2065, 16064, 627, 644, 220, 9714, 23, 11, 11904, 60164, 1903, 10495, 555, 279, 13625, 46487, 22454, 315, 279, 1252, 3695, 4273, 18039, 13, 763, 220, 5926, 19, 11, 17118, 9053, 1903, 5616, 1903, 10495, 482, 8051, 1063, 68802, 315, 39503, 6244, 10495, 1603, 420, 2457, 13, 578, 17118, 9053, 1051, 539, 5343, 304, 279, 435, 2182, 268, 774, 22454, 1606, 814, 1051, 6646, 264, 84983, 7140, 627, 48604, 535, 5933, 2065, 1101, 10222, 369, 11062, 315, 279, 29974, 32088, 304, 220, 5245, 18, 11, 8421, 304, 220, 10336, 20, 11, 323, 28621, 304, 220, 9378, 23, 627, 6014, 682, 13141, 826, 315, 279, 40853, 13, 21834, 922, 1268, 279, 40853, 574, 38617, 11, 323, 1268, 433, 35408, 304, 701, 46831, 596, 35977, 30200, 13, 578, 40853, 1253, 387, 68918, 22009, 304, 6931, 7576, 430, 1051, 12401, 311, 701, 46831, 596, 15443, 2457, 627, 11663, 18955, 2065, 41994, 198, 3947, 527, 927, 220, 3965, 2326, 5933, 2065, 7016, 430, 617, 1027, 44977, 2533, 220, 11128, 15, 13, 4314, 7016, 2349, 279, 53966, 8670, 323, 1884, 430, 15337, 369, 5933, 2065, 13, 362, 12399, 315, 1063, 315, 279, 3682, 5933, 2065, 14385, 5946, 555, 21716, 649, 387, 1766, 1618, 627, 791, 3723, 4273, 94836, 323, 40782, 8471, 706, 264, 2539, 10430, 315, 682, 5933, 2065, 7016, 304, 11612, 3645, 627, 12, 47463, 220, 16, 13, 15, 220, 16, 13, 16, 5124, 6043, 809, 11, 60771, 735, 13, 13002, 311, 18955, 2065, 22293, 315, 279, 3723, 4273, 320, 33, 88232, 11, 14306, 25, 60771, 735, 13, 5124, 6043, 809, 11, 220, 2550, 22, 4390, 12, 47463, 220, 17, 13, 15, 220, 17, 13, 16, 56721, 11, 3842, 622, 13, 3778, 18955, 2065, 22293, 220, 11128, 15, 12, 2550, 15, 13, 320, 33, 632, 5092, 11, 26639, 25, 34243, 15403, 11, 220, 2550, 23, 4390, 12, 47463, 3723, 4273, 94836, 323, 40782, 8471, 11, 551, 18129, 268, 25532, 24485, 389, 18654, 31255, 11, 220, 6393, 15, 12, 6393, 19, 198, 12, 47463, 91074, 11, 4196, 423, 13, 578, 8483, 261, 596, 13002, 311, 3778, 24983, 80378, 11, 220, 18, 6634, 1608, 13, 320, 33, 88232, 11, 14306, 25, 24983, 32051, 950, 37933, 3623, 2637, 4953, 2637, 220, 1049, 15, 8, 128001, 128000, 35, 26538, 374, 38097, 311, 19385, 28460, 345, 33222, 4245, 311, 3428, 9503, 9, 27108, 3993, 198, 1387, 459, 3062, 3560, 198, 258, 1268, 1790, 9503, 264, 6425, 649, 6920, 627, 2746, 499, 8108, 701, 308, 1088, 21577, 345, 22479, 6425, 649, 6920, 810, 9503, 627, 2746, 499, 3974, 304, 22898, 345, 9514, 1253, 617, 264, 3575, 30619, 7982, 198, 4291, 904, 27138, 3485, 220, 2397, 29300, 69, 198, 2746, 499, 1817, 704, 16344, 1100, 519, 552, 9526, 345, 9514, 690, 1518, 568, 1047, 1790, 2731, 1121, 198, 985, 264, 11293, 308, 1088, 2865, 627, 3947, 1051, 1403, 6928, 6372, 389, 279, 11012, 345, 9210, 1051, 15042, 1701, 279, 11293, 308, 1088, 2865, 627, 791, 1176, 1695, 3245, 430, 7077, 574, 345, 26301, 9503, 7319, 345, 24567, 311, 279, 11293, 4371, 13797, 345, 1073, 813, 50123, 6425, 627, 16041, 11, 125452, 14546, 7410, 574, 11293, 304, 279, 436, 8671, 89, 638, 345, 7331, 287, 279, 6136, 311, 1935, 304, 810, 473, 17, 78, 198, 438, 8617, 3139, 10819, 627, 3923, 1587, 420, 2132, 5224, 2216, 3152, 5380, 18293, 701, 1450, 345, 438, 5387, 433, 304, 12290, 3090, 369, 459, 6596, 627, 7927, 6930, 74207, 29775, 3249, 5380, 18433, 279, 12290, 198, 4752, 9057, 279, 125452, 14546, 7410, 198, 263, 279, 704, 67, 3002, 315, 701, 6930, 198, 998, 387, 5190, 1109, 279, 7410, 4871, 701, 6930, 345, 438, 439, 279, 3090, 304, 701, 1450, 198, 285, 53312, 704, 1555, 701, 6930, 345, 22479, 1450, 3604, 14362, 15872, 198, 1527, 279, 4814, 315, 15962, 198, 438, 279, 6930, 9221 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20784, 198, 2181, 374, 16127, 369, 701, 6136, 198, 998, 69575, 3090, 323, 37493, 198, 9493, 499, 1005, 1579, 308, 1088, 21577, 345, 28753, 279, 12290, 11705, 8389, 125452, 14546, 7410, 320, 79343, 531, 14338, 488, 340, 69849, 279, 5347, 13154, 2727, 481, 39654, 198, 1073, 279, 3789, 2849, 14620, 627, 8586, 374, 279, 30328, 330, 85930, 4320, 23811, 46, 3647, 14546, 7410, 374, 279, 17055, 2020, 7410, 198, 8723, 2041, 555, 264, 6425, 198, 258, 264, 3634, 18255, 555, 264, 5347, 13154, 2727, 481, 39654, 320, 22479, 20282, 340, 24567, 311, 264, 41264, 304, 279, 32466, 315, 2092, 1088, 627, 46, 3647, 461, 70, 2987, 374, 279, 2162, 537, 10949, 17383, 315, 459, 47120, 198, 998, 5662, 8335, 304, 125452, 14546, 7410, 627, 46, 3647, 14546, 4754, 374, 279, 14329, 315, 3090, 4754, 198, 4291, 279, 4846, 7438, 198, 1820, 8547, 311, 902, 264, 69996, 320, 44066, 3090, 340, 41450, 1390, 311, 4822, 304, 264, 14812, 198, 438, 539, 1522, 1555, 279, 39654, 3924, 1100, 531, 14338, 488, 198, 285, 264, 6425, 430, 11384, 7917, 311, 30000, 627, 2181, 1253, 477, 1253, 539, 617, 264, 5190, 198, 437, 76, 14546, 7410, 1109, 279, 2849, 15135, 198, 11536, 279, 4478, 315, 3090, 4441, 690, 6904, 5304, 279, 55424, 2968, 315, 279, 2849, 39654, 3924, 1100, 354, 14338, 488, 198, 285, 264, 6425, 430, 11384, 7917, 311, 78353, 198, 2181, 1253, 477, 1253, 539, 617, 264, 4827, 198, 437, 76, 14546, 7410, 1109, 279, 2849, 15135, 345, 11536, 279, 4478, 315, 3090, 4441, 690, 6904, 5304, 279, 55424, 2968, 315, 279, 2849, 39654, 4607, 354, 14338, 198, 285, 264, 6425, 430, 19159, 912, 2349, 304, 2849, 8286, 627, 1420, 374, 1148, 499, 1390, 701, 308, 1088, 6425, 311, 387, 340, 4599, 264, 24156, 2849, 374, 304, 264, 9950, 354, 14338, 198, 1820, 2849, 15135, 15783, 24031, 3090, 345, 13284, 28555, 4028, 279, 2849, 39654, 1139, 279, 2849, 345, 936, 985, 433, 311, 9407, 627, 644, 6136, 7917, 345, 1820, 2849, 7147, 9067, 82, 279, 14800, 345, 1407, 287, 304, 7410, 389, 279, 2849, 7147, 198, 1527, 2949, 2663, 259, 5673, 269, 198, 4908, 76193, 90713, 477, 6206, 345, 548, 539, 439, 27331, 29275, 2746, 499, 527, 1695, 520, 7033, 345, 438, 1390, 311, 636, 701, 308, 1088, 6425, 4832, 345, 1820, 125452, 14546, 7410, 315, 264, 19371, 1088, 6425, 198, 4919, 387, 16997, 1701, 420, 15150, 198, 72, 284, 279, 13000, 259, 43822, 8331, 198, 44, 284, 279, 296, 73627, 198, 49, 284, 279, 6962, 6926, 11, 1405, 432, 284, 220, 15, 13, 24996, 2705, 445, 9787, 70887, 9787, 22337, 12, 16, 9787, 735, 12, 16, 198, 51, 284, 279, 30945, 61002, 9499, 320, 70614, 2663, 10973, 9499, 340, 9290, 25, 279, 38723, 315, 279, 3485, 15150, 311, 279, 10728, 6962, 2383, 198, 438, 1101, 430, 125452, 14546, 7410, 374, 539, 18222, 389, 19320, 6900, 627, 2028, 24524, 574, 14592, 555, 5355, 364, 83, 43822, 627, 7184, 3815, 420, 22702, 1053, 387, 6555, 198, 333, 1070, 527, 904, 7926, 7033, 56333, 704, 1070, 345, 8248, 358, 1005, 420, 9676, 345, 438, 433, 706, 6575, 1664, 369, 757, 627, 7841, 2179, 19213, 315, 452, 1088, 9069, 198, 2170, 499, 649, 1518, 11, 220, 1135, 12, 2075, 4, 374, 1633, 26613, 345, 438, 433, 706, 1027, 856, 4443, 3217, 345, 9210, 358, 617, 13241, 36508, 198, 438, 2731, 12945, 345, 9493, 358, 1005, 279, 4827, 842, 315, 330, 50, 27781, 761, 263, 430, 9676, 13, 128001, 128000, 2181, 753, 264, 2144, 13, 11258, 527, 2731, 1109, 3278, 4696, 520, 81366, 13, 85294, 11, 584, 656, 433, 810, 14134, 323, 810, 13750, 13, 7409, 64037, 7752, 627, 60210, 520, 88085, 7327, 3907, 304, 6457, 17303, 279, 7565, 29579, 7969, 315, 3026, 323, 3278, 1418, 814, 38645, 291, 369, 459, 6596, 1234, 14400, 4787, 627, 791, 12074, 1047, 220, 1806, 15223, 11008, 369, 459, 6596, 520, 7859, 25228, 1385, 2345, 3104, 15223, 1047, 31408, 304, 49286, 10034, 369, 810, 1109, 4848, 1667, 11, 1418, 32899, 15223, 1047, 11, 369, 279, 1455, 961, 11, 539, 10887, 5912, 7106, 5820, 304, 279, 3766, 2380, 1667, 13, 578, 14248, 17303, 279, 15223, 529, 9499, 11, 28566, 4478, 323, 22756, 28566, 82375, 369, 264, 1396, 315, 6732, 389, 279, 2547, 11, 2737, 279, 52354, 323, 39771, 13, 578, 2038, 574, 1511, 311, 11294, 28566, 67169, 2612, 323, 6767, 5178, 627, 791, 4007, 10675, 430, 22655, 5052, 3026, 28566, 810, 1109, 5606, 775, 13, 763, 4689, 11, 3026, 28566, 810, 1109, 3278, 11, 323, 430, 706, 1202, 22934, 13, 37326, 1113, 374, 1268, 1057, 2547, 1080, 3145, 1022, 13, 2100, 11, 555, 81366, 810, 1109, 3278, 11, 3026, 527, 3025, 311, 10368, 369, 264, 5129, 892, 627, 14336, 863, 2181, 8111, 430, 3278, 527, 520, 264, 49836, 994, 814, 1205, 311, 28566, 264, 2763, 2391, 10368, 2476, 1071, 74108, 23714, 84, 763, 283, 68, 11, 279, 4007, 753, 31384, 13, 1054, 17812, 4899, 304, 4106, 4787, 49216, 21994, 7106, 4967, 7319, 81366, 304, 2225, 3026, 323, 3278, 11, 719, 279, 5376, 574, 7191, 449, 3026, 13, 1666, 279, 46944, 2751, 810, 19428, 11, 279, 6811, 304, 81366, 1990, 279, 76032, 7319, 13, 58603, 3403, 11, 5052, 3278, 28566, 810, 1109, 94567, 3026, 11, 719, 555, 459, 73521, 4850, 627, 791, 12074, 4510, 430, 40032, 1436, 10552, 3249, 3026, 28566, 2731, 1109, 3278, 627, 50571, 3495, 706, 6982, 264, 2723, 1990, 279, 8762, 1877, 2902, 494, 606, 40032, 11, 7106, 4967, 323, 459, 5376, 304, 28566, 4478, 13, 10541, 814, 1550, 539, 6767, 279, 36908, 4315, 872, 15223, 11, 279, 12074, 4284, 279, 36908, 1253, 1514, 264, 3560, 304, 872, 3135, 627, 4516, 7752, 11, 279, 1828, 892, 499, 3810, 1139, 264, 3278, 753, 45796, 11, 1120, 1304, 2771, 433, 753, 2216, 4106, 704, 13, 1472, 4805, 28566, 810, 11, 323, 499, 4805, 387, 264, 5409, 311, 3243, 13, 128001, 128000, 791, 1370, 19682, 1607, 82375, 527, 3116, 98763, 28935, 82375, 13, 2435, 527, 7559, 1828, 311, 279, 54060, 67169, 304, 279, 13272, 13, 578, 82375, 513, 9537, 279, 1370, 19682, 1607, 36908, 320, 26131, 570, 393, 3701, 8779, 311, 37377, 279, 2237, 315, 35719, 304, 279, 6680, 627, 644, 9950, 454, 277, 19682, 1607, 2191 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1070, 374, 539, 3403, 393, 3701, 6367, 291, 13, 1115, 11384, 1633, 3428, 5990, 315, 35719, 304, 279, 6680, 13, 12310, 6680, 35719, 374, 3967, 439, 9950, 3768, 66, 22689, 627, 35862, 9547, 527, 3967, 311, 5353, 9950, 454, 277, 19682, 1607, 2191, 11, 2737, 512, 791, 2768, 9547, 5376, 701, 6140, 315, 11469, 9950, 454, 277, 19682, 1607, 2191, 512, 8607, 6978, 449, 9950, 454, 277, 19682, 1607, 2191, 690, 617, 539, 13803, 13, 1442, 13803, 656, 2274, 11, 814, 1253, 2997, 512, 7927, 10896, 690, 2610, 922, 701, 13803, 323, 6593, 3925, 13, 362, 7106, 7151, 690, 387, 2884, 13, 1472, 1253, 387, 14183, 311, 24687, 13, 4060, 91153, 22012, 5357, 389, 36908, 24673, 627, 7927, 10896, 1253, 1205, 311, 1296, 701, 48131, 56406, 13, 1115, 649, 387, 2884, 449, 512, 7927, 10896, 1253, 1205, 9364, 315, 701, 2547, 14726, 13, 1115, 649, 387, 2884, 449, 512, 37310, 449, 701, 10896, 922, 279, 1888, 3197, 369, 499, 13, 31969, 2671, 2997, 279, 2768, 512, 48268, 2411, 323, 28170, 423, 690, 6118, 387, 4529, 56334, 13, 2435, 527, 3629, 4529, 555, 11013, 627, 48268, 2411, 1253, 387, 2728, 555, 26127, 13, 1115, 374, 2884, 994, 14247, 49648, 16337, 374, 4460, 627, 31912, 21021, 369, 36059, 73133, 11, 4953, 627, 1016, 88, 1607, 5114, 315, 7008, 198, 10614, 315, 9950, 454, 277, 19682, 1607, 2191, 323, 5552, 24673, 13, 578, 39515, 454, 277, 19682, 1607, 2191, 10229, 3997, 13, 16528, 520, 25, 3788, 1129, 2185, 870, 1100, 454, 5169, 2726, 43616, 2902, 8658, 14, 18881, 2628, 662, 98400, 6186, 220, 17, 11, 220, 679, 18, 627, 39, 1100, 454, 277, 19682, 1607, 2191, 13, 50242, 77465, 45038, 64, 13613, 3997, 13, 16528, 520, 25, 1795, 1129, 2185, 1770, 1302, 1030, 3875, 916, 3529, 1910, 3690, 662, 16459, 5587, 220, 22, 11, 220, 679, 17, 13, 98400, 6186, 220, 17, 11, 220, 679, 18, 627, 39, 1100, 454, 277, 19682, 1607, 2191, 13, 5165, 21021, 369, 36059, 73133, 3997, 13, 16528, 520, 25, 1795, 1129, 2185, 1783, 1636, 285, 1131, 662, 98400, 6186, 220, 17, 11, 220, 679, 18, 627, 12331, 87, 69323, 13, 33832, 1768, 19682, 1607, 323, 9950, 454, 277, 19682, 1607, 24673, 13, 452, 99730, 622, 3344, 662, 220, 1049, 15, 26, 16522, 25, 9714, 18, 627, 44, 1885, 7211, 83152, 11, 46962, 86298, 74, 622, 13, 4366, 19682, 1607, 3154, 354, 34489, 21494, 367, 13, 4060, 4309, 18373, 662, 220, 679, 16, 2947, 67248, 26, 1114, 6433, 501, 220, 16, 25, 6069, 12, 4578, 627, 2323, 6729, 386, 11, 480, 8186, 2172, 362, 11, 445, 1056, 307, 6729, 480, 11, 452, 582, 331, 44688, 386, 13, 39515, 454, 277, 19682, 1607, 2191, 1306, 2860, 54060, 72783, 13, 3468, 46965, 921, 404, 662, 220, 1049, 22, 5020, 26, 5538, 7, 20, 1680, 12378, 12, 18136, 627, 1016, 587, 7197, 33570, 13, 75226, 26006, 304, 9950, 454, 277, 19682, 1607, 2191, 13, 39634, 295, 662, 220, 1049, 16, 26, 18520, 25, 26007, 627, 54, 10670, 97532, 11, 30417, 41135, 11, 1880, 453, 13, 5843, 9860, 6514, 315, 9950, 454, 277, 19682, 1607, 2191, 25, 264, 47341, 14400, 4007, 27393, 1370, 19682, 1607, 36908, 320, 16, 12, 1958, 8, 19579, 10241, 275, 462, 337, 323, 35719, 13, 622, 18905, 4060, 91153, 337, 6344, 370, 662, 220, 1049, 18, 26, 2421, 25, 18245, 19, 12, 16460, 15, 627, 5966, 22690, 5587, 220, 679, 18, 555, 17520, 68444, 11, 14306, 198, 5966, 16459, 25, 220, 2839, 14, 868, 14, 679, 18, 128001, 128000, 91, 3936, 8651, 10172, 5411, 30548, 76730, 304, 3823, 8624, 13, 7511, 91, 73490, 4078, 8651, 44594, 13659, 7511, 91, 9679, 315, 57994, 8651, 679, 15, 7511, 91, 58990, 8651, 85031, 273, 657, 276, 11, 622, 11, 6342, 11, 386, 7813, 7511, 91, 1956, 30114, 8651, 679, 15, 5186, 220, 845, 7511, 91, 44942, 8651, 74558, 53, 11, 17479, 6372, 11, 1077, 275, 2968, 11, 7554, 1077, 275, 2968, 11, 27472, 11, 58533, 7511, 48686, 6029, 13533, 430, 9024, 34684, 315, 15748, 2515, 527, 8647, 369, 264, 12190, 13651, 315, 6485, 3823, 8624, 13, 38321, 661, 8603, 7068, 13057, 19465, 30548, 76730, 304, 3823, 17563, 555, 33018, 1690, 502, 27103, 304, 1855, 9659, 13, 9303, 62119, 14645, 3085, 279, 13336, 315, 9455, 9024, 8624, 51877, 985, 34684, 323, 279, 21389, 430, 57511, 1124, 627, 10172, 5411, 30548, 76730, 304, 3823, 8624, 627, 2520, 1667, 11, 358, 3077, 6575, 389, 872, 25896, 13, 4800, 358, 2846, 3318, 389, 872, 21389, 13, 4557, 810, 922, 279, 8198, 21630, 1521, 14154, 1274, 627, 3915, 264, 14654, 17685, 315, 459, 14154, 3823, 3782, 279, 3335, 315, 264, 6724, 16907, 7187, 13, 3092, 10278, 374, 3318, 389, 279, 8198, 315, 279, 61703, 12949, 33869, 627, 791, 11599, 315, 30029, 9057, 5933, 6727, 311, 4732, 709, 19407, 304, 12966, 13, 1226, 2351, 45063, 287, 1063, 315, 279, 5627, 430, 22673, 617, 19019, 5614, 2391, 279, 1566, 220, 605, 11, 931, 1667, 13, 128001, 128000, 717, 13, 5651, 220, 679, 17, 220, 605, 25, 2131, 198, 12289, 992, 71417, 425, 13980, 994, 279, 6680, 31080, 304, 279, 84827, 636, 20727, 477, 61053, 3149, 11, 6522, 311, 35663, 35763, 13, 578, 84827, 11, 902, 374, 24306, 315, 58000, 323, 87992, 374, 279, 5654, 315, 279, 8071, 8647, 369, 27541, 311, 3177, 11, 323, 11376, 13, 578, 2160, 992, 54344, 323, 65415, 11, 3235, 449, 264, 29050, 4009, 315, 2107, 484, 5548, 11, 527, 8647, 369, 78768, 279, 6680, 8312, 311, 279, 84827, 13, 3277, 1521, 6680, 31080, 527, 20727, 11, 4245, 311, 904, 2944, 11, 420, 22223, 279, 6680, 8312, 311, 279, 84827, 11, 902, 304, 2543, 11767, 311, 264, 18979, 304, 9302, 1645, 35594, 13, 7923, 45938, 2160, 258, 54042, 374, 279, 6522, 5353, 315, 85515, 304, 1274, 20330, 1990, 220, 508, 323, 220, 2397, 627, 791, 29050, 4009, 315, 7917, 304, 279, 84827, 374, 9193, 16614, 11, 323, 649, 387, 20727, 449, 1524, 264, 8275, 30988, 627, 791, 11384, 4245, 311, 902, 420, 5674, 2643, 12446, 2997, 512, 12, 5234, 6680, 7410, 198, 12, 11994, 1285, 46303, 304, 279, 2010, 5654, 198, 12, 9576, 11737, 304, 42534, 198, 12, 22728, 716, 4500, 315, 6680, 31080, 304, 42534, 9405, 89019, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12, 2563, 8293, 11376, 198, 12, 3165, 15889, 11376, 198, 12, 39333, 304, 279, 2115, 315, 11376, 198, 12, 55370, 19300, 198, 12, 28704, 13909, 11376, 198, 12, 52870, 11376, 4814, 198, 12, 578, 8624, 374, 29704, 555, 459, 297, 81937, 16549, 11, 889, 5829, 459, 1200, 78743, 63753, 311, 21635, 279, 5419, 6070, 315, 279, 8071, 627, 12, 13596, 1749, 430, 374, 17037, 1511, 311, 11388, 279, 75815, 304, 279, 6680, 31080, 374, 264, 51881, 346, 258, 92962, 5814, 1296, 11, 304, 902, 264, 74864, 54631, 374, 41772, 1139, 279, 8893, 753, 100216, 11, 1306, 902, 25232, 527, 20505, 311, 1684, 279, 6680, 31080, 627, 12, 763, 1063, 5157, 11, 279, 28378, 2643, 1101, 2015, 369, 264, 6680, 1296, 311, 387, 10887, 627, 12, 578, 19823, 374, 659, 72259, 287, 304, 1455, 6978, 11, 449, 810, 1109, 220, 5313, 4, 5157, 21730, 389, 872, 1866, 627, 12, 578, 1455, 4279, 6514, 369, 2160, 992, 71417, 1154, 374, 21120, 6514, 11, 304, 902, 264, 21120, 24310, 374, 1511, 311, 4148, 279, 11754, 6680, 31080, 627, 12, 1442, 279, 8624, 374, 9057, 555, 1063, 16940, 6593, 3044, 1093, 20335, 477, 63308, 11, 279, 6514, 24400, 389, 40599, 430, 19823, 627, 12, 54911, 315, 7294, 12, 4592, 37432, 11217, 1093, 362, 7164, 258, 706, 1027, 1766, 311, 387, 7524, 304, 279, 6514, 315, 71417, 1154, 5938, 449, 279, 6650, 315, 502, 31080, 627, 12, 578, 8735, 315, 5370, 43226, 323, 51487, 33690, 1093, 81115, 11, 34998, 12, 18, 41947, 15657, 11, 70339, 46192, 11, 49601, 11, 326, 1088, 258, 11, 34697, 54842, 8819, 11, 52252, 10533, 8819, 11, 5099, 13, 706, 1101, 1027, 1766, 311, 387, 7524, 304, 18899, 279, 13803, 315, 279, 8624, 627, 1687, 520, 735, 4618, 268, 44511, 762, 548, 4219, 527, 37048, 6957, 735, 4618, 268, 369, 8405, 279, 8592, 4367, 8071, 2512, 311, 682, 1057, 6978, 13, 1226, 1520, 1124, 10519, 9498, 6548, 323, 4322, 5370, 8071, 19338, 1701, 1455, 27877, 24198, 13, 1789, 810, 3649, 11, 499, 649, 4034, 603, 520, 220, 17763, 4892, 24255, 6825, 11, 735, 4618, 268, 11, 17467, 220, 22240, 3174, 11, 44985, 735, 4618, 268, 477, 1650, 520, 220, 12375, 12, 24307, 12, 19423, 20, 627, 51158, 19150, 735, 4618, 268, 482, 28929, 19150, 11246, 36443, 128001, 128000, 4266, 315, 17649, 198, 80874, 49863, 33429, 527, 29085, 430, 1934, 279, 3135, 315, 4113, 3495, 13, 2435, 1253, 387, 304, 279, 1376, 315, 10017, 16064, 11, 1647, 12968, 4101, 11, 11156, 6821, 11, 279, 9459, 323, 34749, 811, 11, 477, 8486, 9908, 13, 9393, 814, 3118, 2038, 304, 1202, 4113, 1376, 320, 9210, 374, 11, 433, 706, 539, 1027, 33398, 477, 75826, 477, 6062, 1054, 265, 4853, 3359, 863, 555, 1023, 16483, 705, 1521, 527, 6646, 6156, 8336, 13, 578, 4375, 3118, 502, 7422, 42610, 3773, 552, 78274, 323, 52696, 1124, 449, 279, 6484, 6677, 2385, 13, 10139, 9908, 430, 1934, 4113, 3495, 527, 832, 315, 279, 810, 4279, 323, 3062, 7504, 304, 279, 2038, 11821, 11008, 13, 2435, 3629, 733, 1555, 264, 1920, 304, 902, 814, 527, 1054, 16944, 22690, 863, 555, 1023, 11909, 889, 15806, 279, 990, 323, 14955, 1603, 17009, 627, 99304, 8812, 49863, 33429, 527, 1884, 902, 527, 4756, 922, 279, 6156, 17649, 11, 430, 93640, 11, 24564, 11, 14532, 11, 15806, 477, 6062, 1054, 723, 907, 863, 311, 279, 4113, 2038, 11, 2794, 902, 40821, 279, 1920, 315, 9455, 323, 38663, 279, 6156, 17649, 13, 4427, 10507, 315, 14580, 8336, 527, 1054, 19981, 863, 9908, 323, 25998, 477, 44615, 67245, 11, 1778, 439, 53768, 477, 279, 10170, 16411, 627, 51, 3481, 40, 8812, 49863, 33429, 19742, 477, 21552, 2038, 505, 6156, 477, 14580, 8336, 430, 706, 3719, 13882, 11928, 13, 2435, 9395, 311, 3493, 264, 7353, 24131, 315, 264, 8712, 11, 477, 828, 11, 2736, 17033, 13363, 11, 323, 17931, 11, 3629, 10666, 304, 264, 17125, 1376, 13, 2435, 3493, 912, 502, 2038, 13, 4314, 2997, 1054, 16690, 863, 4595, 315, 4375, 1778, 439, 65303, 11, 3289, 3418, 385, 7018, 3557, 11, 2144, 6603, 11, 28292, 323, 1450, 12383, 11, 323, 6500, 32906, 1778, 439, 578, 49924, 315, 279, 18654, 8385, 5848, 7972, 323, 41472, 43400, 627, 58257, 445, 25764, 15215, 527, 2592, 7384, 539, 2561, 1555, 279, 13783, 6067, 315, 17009, 320, 68, 1326, 2637, 6603, 477, 4261, 53703, 8, 323, 8141, 13, 24255, 17649, 5764, 10017, 29407, 11, 34749, 811, 11, 11156, 6821, 11, 323, 3318, 16064, 13, 13914, 1113, 420, 955, 315, 17649, 374, 264, 2697, 810, 5107, 11, 719, 1070, 527, 9455, 7526, 1778, 439, 52132, 531, 811, 13822, 82, 323, 45231, 5451, 627, 3923, 374, 264, 17649, 3477, 5380, 32, 17649, 3477, 35434, 4756, 2038, 304, 264, 4040, 3917, 3158, 11, 323, 7170, 2038, 304, 264, 4040, 3917, 3158, 2949, 264, 3738, 892, 4261, 627, 32, 17649, 3477, 649, 387, 1120, 264, 4382, 12399, 315, 279, 8336, 11, 719, 433, 6118, 706, 459, 41295, 5497, 323, 33511, 2225, 12399, 323, 39975, 13, 362, 12399, 374, 264, 55099, 315, 279, 3062, 2038, 315, 279, 2592, 11, 719, 264, 39975, 374, 264, 312, 12, 24844, 11, 477, 264, 64793, 80790, 11, 315, 430, 2038, 13, 1102, 2643, 3041, 264, 502, 23692, 315, 2362, 3769, 477, 16343, 502, 449, 2362, 58689, 13, 2582, 433, 2643, 11917, 279, 20207, 33824, 315, 279, 2115, 11, 2737, 3682, 37635, 13, 1628, 11911, 389, 279, 6671, 11, 279, 17649, 3477, 1253, 15806, 279, 8336, 323, 32113, 279, 6742, 389, 279, 1455, 62623, 477, 9959, 627, 4071, 1268, 374, 264, 17649, 3477, 2204, 505, 459, 14584, 3495, 5684, 5380, 8142, 279, 1925, 5357, 315, 459, 14584, 3495, 5684, 374, 311, 1862, 701, 1866, 5811, 11, 279, 5357, 315, 264, 17649, 3477, 374, 311, 63179, 323, 6925, 27985, 279, 6105, 323, 6848, 315, 3885, 13, 578, 14584, 3495, 5684, 1101, 14861, 264, 2134, 315, 8336, 11, 719, 433, 374, 6118, 264, 3373, 1396, 315, 8336, 11, 1606, 279, 25679, 374, 389, 279, 5811, 13, 50487, 11, 264, 17649, 3477, 649, 1101, 617, 459, 330, 14819, 1359, 719, 433, 374, 539, 439, 3062, 439, 18702, 264, 1396, 315, 8336, 13, 763, 2875, 11, 459, 14584, 3495, 5684, 323, 264, 17649, 3477, 6782, 1063, 315, 279, 1890, 5540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13, 763, 2144, 11, 1690, 14584, 3495, 16064, 690, 6782, 264, 17649, 3477, 3857, 13, 2030, 433, 374, 279, 13189, 315, 279, 4007, 320, 1820, 5811, 477, 279, 8336, 8, 430, 374, 46728, 430, 27667, 1148, 955, 315, 2246, 433, 374, 627, 10445, 656, 584, 3350, 17649, 8544, 5380, 87115, 1598, 8544, 3493, 499, 449, 264, 26222, 8641, 311, 264, 4040, 8712, 13, 1442, 499, 617, 7347, 892, 311, 6929, 3495, 11, 17649, 8544, 649, 3041, 499, 459, 24131, 477, 1180, 439, 264, 36567, 9998, 13, 1789, 15749, 11, 814, 527, 5505, 6821, 430, 2567, 1124, 709, 311, 2457, 449, 1148, 374, 1510, 304, 279, 2115, 13, 1789, 31839, 11, 279, 8149, 323, 58321, 315, 279, 17649, 3477, 66159, 279, 38769, 315, 279, 7061, 304, 813, 477, 1077, 2115, 13, 47470, 8544, 1101, 3493, 264, 6573, 4092, 369, 264, 3495, 5684, 596, 8990, 13, 67963, 6677, 315, 279, 17649, 315, 279, 2115, 374, 7718, 311, 1455, 3495, 16064, 627, 15546, 14238, 1521, 2574, 11, 13971, 5380, 87115, 1598, 8544, 527, 5439, 23781, 304, 279, 94135, 11, 719, 10213, 304, 279, 36788, 323, 3674, 36788, 26, 304, 9526, 323, 10278, 6821, 11, 814, 35256, 264, 3857, 315, 279, 5684, 13, 18156, 264, 17649, 3477, 374, 5439, 439, 264, 5684, 304, 5196, 627, 849, 35128, 505, 1054, 87115, 1598, 19832, 863, 505, 578, 24838, 5955, 11, 3907, 315, 4892, 13030, 520, 54462, 8270, 320, 1277, 1129, 26372, 3133, 13, 1371, 12871, 40000, 7682, 438, 11934, 1773, 15295, 2754, 15934, 97765, 12, 97410, 13631, 2058, 1598, 5621, 5182, 705, 220, 1049, 22, 627, 6618, 11050, 5806, 96020, 198, 4645, 19, 29071, 9336, 21998, 627, 10987, 668, 8014, 220, 24887, 1644, 128001, 128000, 90153, 374, 505, 279, 4851, 439, 1664, 439, 279, 4059, 13, 1102, 374, 539, 264, 17983, 198, 93221, 21063, 315, 279, 7739, 315, 2574, 477, 264, 6677, 315, 872, 198, 8407, 7138, 26, 433, 2011, 2997, 279, 13836, 315, 2574, 11, 279, 30467, 6848, 198, 9210, 814, 665, 939, 40101, 627, 36064, 374, 18222, 389, 279, 2678, 2574, 25, 43685, 482, 499, 198, 33222, 12234, 810, 26, 26586, 11, 57669, 323, 3885, 482, 649, 2744, 1456, 280, 7830, 1824, 60051, 482, 690, 2744, 387, 1120, 439, 5107, 11, 719, 520, 3325, 499, 198, 19553, 2884, 433, 1603, 13, 1102, 374, 3062, 311, 656, 682, 1521, 2697, 2574, 198, 14924, 25, 482, 2650, 649, 584, 42645, 198, 49864, 433, 374, 279, 30467, 42563, 4039, 1113, 603, 323, 46090, 603, 304, 264, 198, 66, 7770, 5216, 11, 477, 279, 198, 48999, 13836, 11125, 4984, 505, 23490, 93071, 22484, 512, 16533, 25, 482, 578, 30467, 42563, 14385, 304, 682, 28970, 369, 2731, 479, 11, 719, 9624, 291, 810, 477, 2753, 304, 1855, 555, 2944, 315, 6873, 323, 14464, 315, 3463, 26, 16472, 433, 35327, 304, 33306, 13, 1102, 374, 539, 3284, 311, 1304, 264, 2653, 9976, 74768, 8521, 6037, 369, 9455, 704, 1148, 374, 279, 4039, 1113, 47094, 13, 1442, 584, 527, 4560, 311, 636, 1139, 264, 2731, 1614, 11, 433, 374, 369, 603, 311, 10491, 422, 430, 387, 5042, 323, 42241, 45743, 13, 2052, 6299, 527, 23712, 555, 12876, 439, 279, 23941, 374, 4883, 279, 44461, 9501, 477, 279, 16603, 4883, 279, 4027, 11, 719, 584, 2011, 1456, 13, 2100, 422, 584, 5155, 369, 13520, 279, 6037, 430, 584, 690, 1456, 311, 656, 279, 1888, 584, 649, 369, 3885, 11, 584, 690, 8965, 387, 6197, 1314, 13, 1442, 584, 17631, 389, 279, 5190, 659, 323, 84611, 311, 387, 33687, 555, 433, 11, 584, 690, 387, 6197, 311, 279, 1314, 1524, 422, 279, 5754, 5900, 1555, 6784, 11, 369, 58596, 323, 6784, 527, 5995, 369, 94536, 315, 279, 13836, 13, 2030, 422, 584, 6562, 311, 1629, 3201, 505, 459, 4676, 1606, 584, 656, 539, 1093, 433, 323, 2085, 4560, 311, 3974, 304, 433, 1418, 539, 315, 433, 11, 584, 527, 539, 60923, 13520, 719, 5042, 60923, 279, 13463, 11, 323, 1253, 539, 2744, 8895, 4205, 627, 14924, 261, 25, 3639, 374, 701, 19451, 311, 279, 4216, 45572, 315, 578, 11597, 88, 11, 279, 2563, 402, 1900, 8050, 955, 30, 3234, 499, 2980, 584, 617, 39436, 660, 477, 11084, 5380, 62984, 16849, 45, 1428, 1539, 27712, 25, 358, 1097, 16984, 358, 656, 539, 1440, 11, 1606, 358, 656, 539, 1440, 1148, 84276, 2563, 402, 1900, 8050, 596, 45572, 527, 13, 8595, 1288, 358, 30, 8595, 1288, 499, 1440, 315, 4423, 775, 596, 45572, 30, 1472, 1440, 11, 1070, 374, 1193, 832, 8206, 11, 323, 9093, 1070, 374, 1193, 832, 1648, 11, 902, 374, 539, 29827, 505, 279, 8206, 26, 1070, 374, 1193, 832, 1749, 311, 430, 8206, 11, 1606, 279, 3445, 527, 539, 12742, 505, 279, 842, 627, 7184, 499, 889, 617, 20041, 84276, 2563, 402, 1900, 8050, 596, 323, 279, 5652, 578, 11597, 88, 11, 477, 8996, 433, 374, 11, 3249, 656, 499, 1390, 311, 387, 4236, 315, 6603, 4619, 315, 4236, 315, 2324, 30, 8595, 656, 499, 743, 709, 6164, 323, 2610, 6832, 45572, 527, 2731, 30, 4418, 956, 499, 1518, 30, 5321, 11, 358, 1097, 539, 1694, 25984, 11, 477, 4205, 315, 430, 3169, 13, 4418, 956, 499, 1518, 30, 1472, 527, 22125, 26, 1505, 704, 1148, 374, 837, 323, 905, 304, 32186, 17223, 499, 690, 1243, 1505, 704, 1148, 374, 837, 13, 7531, 704, 1148, 374, 837, 323, 905, 304, 701, 4676, 449, 682, 1202, 90838, 919, 323, 23010, 3903, 552, 11, 323, 1243, 499, 690, 1505, 704, 1148, 374, 837, 13, 8595, 656, 499, 1390, 13868, 552, 30, 9393, 2324, 374, 459, 28360, 3245, 11, 323, 499, 3987, 311, 1629, 3201, 505, 433, 1555, 19675, 13, 9601, 374, 779, 4384, 11, 41630, 11, 18754, 11, 5335, 8129, 1245, 11, 323, 499, 1390, 2555, 311, 4546, 24364, 2191, 1139, 701, 1917, 11, 1063, 3987, 11, 1063, 64610, 11, 77754, 8430, 26, 20444, 11, 422, 499, 2216, 17011, 279, 1917, 439, 433, 374, 11, 323, 82457, 433, 11, 499, 1053, 1505, 433, 2555, 1790, 810, 11, 72600, 7191, 1109, 904, 19675, 11, 7191, 1109, 904, 2363, 304, 279, 1917, 11, 7191, 1109, 904, 12917, 477, 7191, 1109, 904, 11326, 627, 1687, 617, 2216, 5675, 682, 5647, 315, 8430, 11, 8430, 369, 279, 67516, 11, 323, 8430, 369 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 279, 90838, 269, 13, 1472, 1193, 2733, 994, 499, 527, 67516, 13, 2100, 27115, 584, 617, 94391, 11497, 3201, 682, 1057, 16024, 11, 1057, 74633, 13071, 11, 1057, 36301, 51866, 11, 3156, 584, 527, 11112, 26682, 26, 323, 311, 5266, 430, 4985, 785, 434, 11, 311, 31518, 13520, 11, 584, 4007, 6603, 627, 791, 578, 11597, 950, 13581, 706, 1047, 2380, 6302, 369, 810, 1109, 264, 9478, 13, 2435, 527, 512, 2173, 1521, 2380, 6302, 279, 1176, 706, 1027, 6646, 279, 1455, 3062, 11, 520, 3325, 2533, 279, 892, 473, 1087, 13, 2563, 402, 1900, 8050, 323, 473, 815, 13, 12225, 51805, 11721, 304, 6890, 304, 220, 9674, 24, 13, 4610, 526, 989, 3403, 279, 364, 2796, 5594, 5722, 6, 315, 279, 578, 11597, 950, 13581, 304, 56738, 263, 320, 2654, 53857, 8, 312, 764, 27663, 279, 3485, 11, 719, 11141, 10868, 5812, 704, 13, 1102, 374, 439, 11263, 512, 1271, 15253, 1825, 34423, 77612, 1139, 1917, 44230, 11, 19675, 11, 8198, 11, 323, 279, 19071, 304, 2015, 311, 3619, 279, 24278, 315, 279, 17051, 11, 5201, 279, 31426, 315, 682, 2324, 11, 323, 1520, 1274, 13488, 18330, 659, 39160, 1659, 627, 32, 9131, 5224, 374, 16632, 2500, 3492, 369, 9395, 477, 1665, 13, 2100, 832, 1053, 1755, 279, 2380, 6302, 315, 279, 578, 11597, 950, 13581, 311, 7655, 24559, 449, 279, 9131, 5594, 5722, 13, 3861, 1053, 1101, 1755, 279, 61327, 315, 279, 9131, 5594, 5722, 311, 387, 810, 6617, 13, 763, 430, 54344, 433, 1053, 617, 1027, 264, 6555, 8815, 422, 279, 4580, 315, 28454, 315, 279, 2326, 22327, 315, 279, 23822, 1047, 1766, 264, 502, 1877, 92322, 1648, 315, 5605, 430, 1274, 1288, 4322, 1855, 1023, 1664, 13, 3639, 775, 1587, 264, 364, 77, 22935, 355, 315, 279, 26581, 50336, 315, 83695, 320, 12380, 22367, 3152, 30, 2030, 311, 5387, 433, 682, 704, 374, 2216, 2133, 2288, 3117, 369, 757, 11, 323, 369, 3892, 315, 279, 1274, 358, 2322, 304, 56738, 263, 420, 7474, 13, 1115, 9131, 5594, 5722, 10578, 45743, 311, 757, 13, 8681, 25, 358, 1505, 459, 22139, 1405, 1274, 690, 1520, 757, 449, 856, 659, 39160, 1659, 665, 1405, 856, 1825, 77612, 1139, 44230, 11, 75456, 323, 8198, 690, 387, 7396, 13, 68963, 13, 1628, 1070, 374, 912, 24710, 430, 358, 16102, 1205, 311, 656, 4205, 520, 682, 13, 358, 1541, 956, 1205, 311, 6725, 21955, 45972, 13, 358, 1541, 956, 1205, 311, 1505, 25065, 304, 856, 4851, 369, 1884, 358, 3077, 9687, 311, 40060, 1082, 477, 10240, 13, 358, 690, 8530, 4048, 311, 5201, 279, 31426, 315, 682, 2324, 304, 8278, 11, 719, 1070, 374, 912, 1205, 369, 757, 311, 656, 4205, 15325, 520, 682, 9522, 40, 2846, 14224, 1694, 70779, 13, 763, 5150, 2144, 279, 4879, 311, 1376, 264, 62607, 315, 279, 26581, 50336, 315, 83695, 11, 2085, 30296, 315, 7102, 11, 92107, 11, 1877, 11, 69524, 477, 1933, 374, 990, 13, 1102, 3445, 264, 6926, 4879, 311, 23075, 856, 35121, 13, 1102, 3445, 19261, 704, 311, 1274, 13, 1102, 3445, 36666, 45972, 13, 1102, 3445, 6975, 311, 3568, 449, 1274, 358, 1253, 539, 1093, 13, 358, 1505, 433, 1633, 39223, 430, 279, 23822, 304, 5270, 706, 19685, 420, 1633, 3062, 4879, 704, 315, 1202, 364, 2796, 5224, 6, 323, 3987, 814, 690, 2349, 2574, 5246, 627, 4959, 7474, 279, 3778, 11360, 315, 279, 578, 11597, 950, 13581, 320, 10155, 8, 706, 264, 23738, 430, 374, 2225, 2626, 6574, 323, 7474, 2978, 13, 11842, 86940, 315, 279, 23822, 527, 539, 21650, 18719, 11, 719, 304, 6725, 4400, 374, 2884, 311, 66087, 1124, 505, 5108, 3060, 13, 578, 16975, 315, 279, 23738, 574, 2225, 1633, 11537, 311, 757, 11, 439, 15234, 323, 502, 13, 34701, 9730, 11, 439, 433, 574, 439, 10882, 7556, 311, 1521, 25355, 279, 11597, 1705, 11, 439, 433, 706, 2744, 1027, 7556, 311, 279, 11597, 1705, 1618, 304, 279, 26746, 13, 43693, 439, 1664, 11, 439, 40605, 2574, 527, 2884, 22009, 11, 994, 1070, 374, 264, 2204, 3552, 56971, 627, 791, 8736, 574, 264, 2763, 4846, 1109, 358, 2846, 1511, 311, 9298, 433, 13, 364, 17206, 287, 8679, 10309, 6, 2795, 433, 682, 11, 358, 1781, 13, 1789, 1884, 889, 617, 539, 1027, 311, 12225, 51805, 369, 420, 25, 11714, 8679, 3445, 29076, 323, 20405, 323, 37862, 323, 304, 279, 1162, 315, 279, 11597, 1705, 25, 29147, 285, 323, 7904, 37862, 304, 4689, 13, 5629, 56111, 426, 1974, 11, 279, 5426, 4872, 315, 279, 23822, 304, 279, 7427, 11, 32069, 603, 13, 5112, 1070, 1051, 34296, 505, 364, 543, 279, 1917, 596, 44230, 518, 3582, 420, 374, 14224, 32367, 12266, 1070, 1051, 264, 2763, 13, 578, 16975, 315, 430, 22260, 574, 810, 42887, 1109, 358, 5602, 433, 304, 6890, 13, 1102, 7111, 1093, 1274, 1436, 1120, 2586, 709, 323, 3041, 8996, 23788, 814, 4934, 13, 22395, 279, 1690, 34296, 810, 1109, 832, 9052, 96036, 574, 15609, 11, 439, 1664, 439, 15256, 11, 279, 8485, 2416, 68009, 323, 264, 3823, 380, 23788, 13, 578, 8736, 9670, 449, 95185, 505, 682, 927, 279, 1917, 13, 358, 6688, 95185, 505, 279, 26746, 323, 279, 7327, 578, 11597, 950, 14821, 520, 13106, 8506, 1101, 304, 279, 26746, 627, 791, 2626, 6574, 44660, 315, 6821, 505, 279, 5370, 26280, 13, 358, 574, 14792, 311, 1518, 279, 990, 430, 4024, 1139, 3339, 433, 16280, 30311, 13, 578, 15403, 6017, 8845, 1524, 2751, 264, 320, 31670, 8, 274, 75901, 685, 389, 279, 1648, 304, 902, 53089, 18569, 519, 9922, 13, 1115, 374, 7995, 2204, 505, 1268, 358, 2846, 1511, 311, 9298, 433, 11, 719, 358, 14333, 7182, 90064, 627, 791, 7057, 315, 279, 2978, 574, 364, 791, 11597, 88, 304, 1957, 4527, 21254, 4317, 18530, 1291, 11, 6625, 4872, 11, 6688, 1455, 315, 279, 46232, 13, 10637, 1047, 1027, 1903, 369, 45509, 27747, 354, 258, 596, 10401, 315, 279, 7365, 315, 5475, 11, 3842, 1708, 13351, 323, 28237, 34202, 13, 4740, 279, 1925, 31678, 11, 1855, 6693, 11, 1070, 1051, 1912, 10430, 430, 1051, 482, 439, 13783, 482, 1633, 7185, 13, 763, 279, 13658, 1070, 1051, 6118, 46232, 11, 35936, 323, 33862, 6989, 13, 2057, 387, 10978, 358, 5828, 956, 25408, 449, 1148, 358, 5602, 315, 279, 33862, 6989, 13, 578 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11597, 1705, 1541, 956, 617, 264, 17444, 315, 1694, 1633, 1695, 520, 33862, 323, 420, 3287, 956, 1520, 904, 304, 856, 2363, 13, 578, 6693, 33862, 1524, 31256, 757, 315, 1912, 9950, 76205, 13, 362, 3958, 1879, 430, 11007, 420, 21455, 574, 430, 3892, 1274, 3309, 757, 430, 814, 1047, 264, 31954, 311, 4498, 33173, 2391, 279, 6693, 1474, 3671, 367, 627, 791, 46232, 1051, 1633, 1695, 13, 21254, 4317, 18530, 1291, 596, 8736, 31678, 574, 922, 9455, 8335, 13, 3005, 8967, 9455, 264, 8335, 1990, 279, 4500, 315, 24385, 6151, 320, 1458, 398, 57351, 705, 3463, 11, 20356, 323, 1957, 13, 1442, 1070, 374, 20616, 11, 1541, 956, 1180, 389, 433, 7214, 13, 6914, 433, 17684, 35116, 11, 433, 690, 3237, 5196, 18182, 304, 1957, 477, 4339, 520, 1063, 1486, 13, 63849, 98741, 439, 1664, 3966, 311, 387, 304, 26348, 13, 25619, 1790, 315, 433, 11767, 311, 45715, 11, 2288, 1790, 24408, 477, 12571, 315, 4907, 13, 38895, 8335, 5764, 74017, 279, 294, 10965, 315, 3463, 13, 1115, 3445, 430, 13452, 323, 99985, 690, 32153, 323, 584, 690, 14188, 4287, 6463, 8007, 1148, 3507, 627, 35, 12699, 27747, 354, 258, 11, 304, 1077, 31678, 922, 279, 578, 11597, 950, 7365, 315, 5475, 320, 51, 3204, 705, 32647, 430, 279, 11597, 1705, 527, 4642, 304, 3674, 2532, 304, 5370, 5627, 13, 3861, 315, 279, 1925, 5627, 374, 3927, 1957, 13, 3005, 8967, 430, 279, 11597, 1705, 682, 927, 279, 1917, 527, 4642, 304, 3674, 990, 1555, 29533, 430, 617, 4400, 311, 656, 449, 279, 11597, 88, 13, 578, 2132, 1648, 304, 902, 279, 11597, 1705, 527, 4642, 32367, 304, 279, 1917, 374, 1555, 279, 7640, 315, 2254, 279, 11597, 950, 36132, 4282, 323, 14491, 13, 578, 350, 3204, 1946, 1392, 682, 430, 449, 1633, 3230, 7224, 304, 3158, 596, 1093, 6873, 11, 10065, 23460, 11, 46482, 2191, 323, 1520, 304, 1162, 315, 5933, 51751, 1093, 6051, 69756, 13, 1952, 459, 21874, 1697, 2237, 350, 3204, 91452, 527, 6197, 555, 279, 11597, 1705, 11, 719, 279, 23872, 1541, 956, 617, 311, 387, 3697, 13, 18056, 904, 3169, 315, 3674, 990, 649, 387, 4529, 389, 11, 433, 374, 5995, 430, 8792, 279, 11597, 950, 2819, 4920, 279, 990, 527, 59035, 15870, 311, 2567, 279, 990, 279, 11597, 950, 13, 45509, 11497, 430, 279, 990, 315, 279, 350, 3204, 706, 15042, 29057, 6051, 1234, 1077, 11692, 13, 3005, 649, 956, 37586, 389, 1077, 1866, 14926, 323, 264, 312, 58904, 374, 5995, 627, 80871, 34202, 6688, 264, 586, 31678, 389, 279, 75716, 315, 5496, 8206, 13, 3005, 32647, 279, 6811, 1990, 5496, 24278, 323, 2363, 24278, 13, 578, 11597, 1705, 2744, 5326, 539, 2133, 7953, 2363, 24278, 13, 1442, 584, 2216, 1518, 279, 8206, 11, 1057, 4851, 323, 1057, 4459, 1694, 690, 2349, 13, 3011, 596, 279, 2410, 315, 5496, 8206, 13, 763, 2015, 369, 430, 311, 3621, 11, 584, 1205, 311, 3604, 6725, 8206, 439, 584, 1440, 433, 320, 1962, 439, 584, 1390, 433, 311, 387, 8, 304, 1057, 7446, 6439, 13, 7357, 3217, 430, 7353, 729, 1057, 27541, 11, 41585, 5496, 8206, 369, 603, 13, 763, 6617, 3463, 279, 83416, 2136, 315, 4395, 374, 10671, 5115, 2867, 13, 473, 1087, 13, 2563, 402, 1900, 8050, 3604, 4024, 832, 3094, 4726, 25, 1364, 5602, 4395, 439, 832, 5496, 1694, 11, 3861, 9601, 13, 578, 10334, 315, 18879, 689, 5039, 420, 389, 279, 2237, 315, 279, 9578, 11, 719, 369, 2563, 402, 1900, 8050, 433, 596, 837, 315, 279, 4459, 15861, 13, 58292, 374, 1511, 439, 459, 2217, 315, 430, 1952, 24639, 627, 43031, 4317, 596, 2132, 31678, 27023, 449, 264, 1633, 8792, 7057, 25, 7982, 304, 24278, 13, 763, 420, 31678, 1364, 11763, 264, 7057, 430, 14906, 1555, 1077, 10573, 78678, 9863, 304, 578, 578, 11597, 380, 439, 1664, 25, 83695, 28815, 304, 6677, 11, 719, 539, 304, 24278, 13, 578, 6677, 430, 706, 1027, 8040, 927, 279, 3347, 1403, 24552, 11767, 311, 19814, 1606, 1070, 374, 912, 6677, 389, 1148, 374, 1314, 304, 279, 1317, 1629, 13, 1102, 374, 12309, 4228, 311, 2274, 6677, 13, 1102, 374, 1633, 2653, 311, 1505, 704, 1148, 1314, 1957, 374, 13, 1226, 1541, 956, 39256, 3403, 430, 304, 48389, 4423, 775, 11, 584, 13194, 13520, 13, 57201, 11767, 311, 264, 26733, 11, 16614, 1917, 13, 33025, 11767, 311, 22519, 323, 420, 649, 1193, 387, 29991, 555, 10671, 8010, 315, 279, 9669, 315, 6677, 13, 18715, 6677, 11767, 311, 264, 8430, 315, 4941, 13827, 434, 13, 1952, 279, 1023, 1450, 433, 374, 5995, 311, 4048, 311, 1781, 29235, 323, 3719, 8010, 311, 1148, 13112, 584, 527, 682, 28160, 555, 3885, 13, 1556, 3187, 1364, 6688, 374, 430, 279, 4382, 2324, 374, 912, 5129, 3970, 439, 10728, 13, 51898, 6944, 311, 3974, 439, 374, 45877, 389, 12707, 13, 763, 682, 1077, 46232, 420, 2046, 21254, 4317, 31256, 603, 430, 1057, 4443, 5435, 1205, 311, 2586, 2132, 13, 34871, 304, 24278, 3445, 6650, 304, 93592, 2191, 323, 430, 3445, 66127, 659, 13, 5751, 4443, 5435, 323, 1057, 94898, 527, 2225, 13643, 13, 1226, 1304, 1124, 11493, 1109, 814, 527, 13, 8595, 374, 16066, 1778, 264, 3544, 3575, 30, 578, 23822, 574, 18538, 311, 4465, 48786, 13, 5075, 18631, 560, 305, 32551, 459, 20616, 1139, 1972, 5435, 323, 649, 1193, 387, 56767, 555, 264, 8430, 315, 8599, 2136, 449, 682, 3823, 23837, 13, 5751, 93592, 2191, 3966, 311, 3719, 20789, 13, 578, 46054, 1071, 25, 433, 596, 2731, 311, 3041, 264, 2697, 21955, 398, 11, 1109, 311, 3041, 264, 2763, 2085, 3021, 627, 2181, 574, 1633, 16358, 311, 6865, 279, 1934, 315, 279, 11597, 1705, 5496, 3221, 279, 3158, 1405, 69756, 4295, 13, 2684, 1051, 22245, 439, 24442, 1070, 1633, 4443, 1934, 13, 578, 1455, 3062, 20616, 358, 2751, 505, 430, 574, 430, 44583, 527, 4725, 369, 279, 1274, 304, 420, 5654, 13, 52783, 1274, 656, 539, 5387, 304, 1162, 315, 264, 13766, 13, 18185, 430, 2144, 11, 323, 420, 706, 539, 1027, 32647, 3403, 11, 420, 574, 279, 1455, 6992, 60773, 304, 3925, 13, 33916, 220, 1954, 12, 2721, 4, 315, 279, 1274, 304, 279, 1561, 27008, 5654, 1051, 63358, 13, 1226, 1051, 3309, 430, 32638, 2744, 4822, 4920, 779, 814, 649, 46403, 13 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1115, 374, 961, 315, 279, 5497, 13, 9393, 420, 13766, 1550, 779, 1790, 810, 5674, 1109, 1455, 1023, 44583, 11, 4395, 2751, 11493, 1109, 13783, 627, 13379, 1708, 13351, 12570, 922, 279, 1455, 27823, 9131, 315, 279, 11597, 88, 13, 1283, 3940, 555, 5605, 430, 2563, 402, 1900, 8050, 304, 1077, 1620, 4330, 1667, 389, 9578, 11, 1047, 2163, 264, 20160, 315, 4330, 512, 9673, 2380, 12197, 1051, 279, 56527, 311, 53240, 1403, 46232, 13, 2435, 3041, 5216, 311, 578, 11597, 950, 990, 304, 279, 1917, 13, 2563, 402, 1900, 8050, 596, 1566, 1667, 1051, 11292, 11, 719, 3842, 32647, 430, 704, 315, 21426, 11, 56650, 3629, 2586, 13, 4185, 14533, 6651, 2574, 709, 13, 73074, 61324, 1053, 2646, 617, 9041, 311, 279, 4410, 439, 433, 706, 11, 422, 5734, 19117, 956, 64765, 45261, 13, 763, 1077, 220, 9378, 16, 6661, 11, 2563, 402, 1900, 8050, 14918, 12570, 315, 5496, 279, 11597, 88, 11, 539, 279, 45572, 13, 763, 1077, 1176, 6661, 1364, 32647, 279, 9395, 315, 279, 578, 11597, 950, 13581, 311, 52696, 1274, 315, 682, 17089, 323, 93592, 2191, 13, 10995, 56276, 527, 3062, 11, 719, 814, 649, 956, 3549, 24429, 1918, 11, 2890, 477, 421, 17648, 434, 13, 1226, 617, 311, 3719, 7373, 3823, 11, 430, 374, 1148, 279, 3492, 7491, 78864, 25, 311, 7491, 13520, 13, 2684, 649, 1193, 387, 26348, 304, 29533, 11, 422, 8081, 3695, 527, 24770, 11, 539, 1555, 84239, 704, 12062, 13, 763, 813, 2132, 31678, 568, 6052, 311, 279, 7057, 315, 653, 7922, 1274, 315, 682, 17089, 13, 1283, 1101, 14618, 704, 430, 1475, 24219, 8735, 8964, 430, 2574, 649, 956, 387, 9770, 13, 2360, 6037, 649, 1825, 279, 4851, 1474, 485, 315, 1274, 13, 2360, 1912, 374, 6220, 505, 16188, 2191, 13, 578, 11597, 1705, 2288, 1629, 420, 5326, 11, 3582, 304, 1972, 279, 11597, 88, 1070, 649, 387, 912, 5679, 7044, 11, 1606, 433, 374, 3196, 389, 1972, 20616, 323, 25442, 7422, 13, 8976, 279, 11597, 88, 27053, 30467, 2944, 11, 279, 2944, 315, 19098, 6151, 13, 3842, 8036, 449, 2563, 402, 1900, 8050, 596, 4339, 304, 279, 1566, 6661, 311, 279, 3778, 1221, 31759, 25, 311, 387, 279, 11597, 1705, 11, 3974, 279, 11597, 88, 627, 644, 1077, 1828, 31678, 21254, 4317, 15243, 922, 7982, 304, 10919, 13, 10919, 374, 1057, 837, 1694, 11, 430, 13189, 315, 13520, 902, 374, 832, 449, 1475, 1023, 13, 10919, 374, 7953, 4339, 11, 433, 596, 961, 315, 26581, 9601, 13, 1102, 374, 5995, 311, 2733, 37805, 369, 6980, 323, 10099, 13, 20915, 1870, 3411, 369, 4868, 11, 430, 6562, 27227, 264, 12876, 369, 10919, 13, 5751, 1917, 374, 6453, 11, 1070, 374, 2697, 27607, 11, 2697, 10919, 13, 2650, 656, 584, 4148, 279, 30740, 430, 8821, 603, 505, 1057, 7718, 7138, 25, 10919, 30, 2057, 420, 15325, 3488, 11, 21254, 4317, 596, 4320, 374, 311, 387, 810, 16614, 13, 1226, 617, 311, 2733, 439, 3885, 2733, 11, 2085, 25607, 449, 872, 6784, 13, 1472, 649, 956, 1520, 3885, 555, 2133, 3235, 449, 872, 6784, 11, 719, 499, 617, 311, 1440, 1148, 433, 374, 13, 10291, 1957, 7612, 2133, 7953, 3674, 2587, 323, 21977, 323, 1694, 2216, 16614, 13, 1115, 27541, 3250, 956, 57780, 1057, 23871, 13, 5751, 1972, 7138, 4536, 956, 1120, 10919, 11, 433, 596, 1101, 92670, 13, 2030, 584, 1205, 311, 3719, 17371, 315, 1023, 1274, 13, 1252, 15674, 11555, 13194, 3885, 11, 323, 13967, 13520, 13, 2435, 527, 1093, 264, 30056, 37642, 430, 50777, 709, 1057, 1888, 61555, 13, 53089, 18569, 519, 1071, 430, 422, 584, 649, 956, 1518, 4359, 304, 3885, 11, 584, 2011, 387, 279, 12047, 3284, 79625, 13, 578, 3575, 449, 58587, 374, 430, 433, 374, 59915, 13, 1226, 617, 311, 4048, 311, 1427, 1234, 279, 7479, 11, 2085, 19971, 315, 904, 3169, 13, 578, 14464, 311, 61730, 96931, 279, 37374, 13, 2893, 264, 73998, 315, 10919, 323, 65352, 13, 2893, 10235, 311, 3041, 315, 6261, 13, 4418, 956, 1120, 656, 1148, 374, 5995, 11, 719, 22815, 17210, 311, 279, 23460, 315, 1274, 304, 10652, 13, 7357, 31954, 315, 17743, 706, 311, 32153, 13, 3011, 1648, 315, 3411, 33992, 603, 311, 23075, 6896, 83, 1918, 13, 578, 1176, 3094, 374, 279, 1566, 3094, 11, 1606, 279, 5216, 304, 902, 584, 3351, 374, 315, 6156, 12939, 627, 43031, 4317, 596, 1620, 31678, 574, 2663, 364, 26047, 2461, 1555, 1957, 4527, 8976, 24278, 374, 304, 9298, 1957, 304, 2536, 26115, 323, 2536, 26115, 304, 1957, 13, 578, 8792, 3488, 1364, 4691, 25, 1148, 374, 1314, 1957, 30, 9062, 315, 603, 706, 311, 10491, 430, 369, 13520, 13, 13969, 304, 4059, 430, 1057, 4907, 25949, 279, 1917, 11, 539, 1120, 1057, 6299, 13, 20696, 374, 83416, 13, 3011, 596, 3249, 63944, 2101, 505, 1957, 4536, 956, 279, 1890, 3245, 439, 11542, 505, 1957, 13, 3277, 6299, 1893, 5435, 11, 433, 596, 539, 1314, 1957, 13, 10291, 1957, 374, 5995, 11, 719, 584, 617, 311, 5766, 25607, 449, 433, 13, 763, 4395, 499, 656, 11, 2610, 6261, 422, 1070, 374, 37374, 2191, 6532, 13, 578, 34553, 961, 374, 430, 1524, 430, 3463, 374, 304, 264, 1648, 45743, 13, 1226, 1205, 459, 9358, 8335, 430, 374, 9678, 315, 2450, 477, 8060, 13, 13346, 323, 8060, 527, 961, 315, 279, 33834, 323, 40291, 315, 2324, 11, 719, 584, 1541, 956, 617, 311, 63018, 398, 636, 6532, 304, 430, 13, 578, 5326, 315, 61238, 374, 430, 832, 8638, 7422, 25, 358, 649, 656, 420, 13, 3011, 8430, 649, 636, 304, 279, 1648, 315, 1314, 1957, 13, 578, 3575, 449, 45743, 1957, 374, 430, 1524, 422, 279, 2875, 9860, 1121, 5084, 1695, 11, 433, 596, 2646, 15690, 13, 21254, 4317, 8036, 449, 832, 315, 62064, 12682, 5757, 72, 596, 26793, 25, 6299, 430, 527, 264, 2027, 315, 279, 3347, 11, 1541, 956, 990, 13, 5703, 1193, 4375, 422, 433, 596, 279, 29774, 315, 1314, 20616, 13, 1115, 31678, 574, 1633, 70162, 11, 719, 358, 13942, 832, 13189, 430, 279, 2316, 1587, 4284, 25, 430, 7170, 20616, 11263, 653, 726, 819, 1957, 13, 10291, 1957, 649, 1520, 4335, 279, 17743, 13, 3861, 706, 311, 1212, 15038, 627, 791, 1620, 3882, 574, 264, 3488, 323, 4320, 4883, 449, 21254, 4317 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18530, 1291, 11, 28237, 34202, 323, 3842, 1708, 13351, 13, 578, 4860, 1047, 2586, 304, 1555, 279, 7757, 323, 505, 279, 10430, 5315, 13, 3639, 11263, 374, 264, 6727, 13, 3053, 20071, 3719, 3697, 315, 279, 578, 11597, 950, 13581, 30, 7566, 11, 584, 617, 10451, 3697, 304, 24922, 11, 6890, 323, 17076, 13, 21254, 4317, 32647, 430, 10451, 3278, 7784, 956, 9770, 311, 4822, 520, 2162, 304, 682, 5961, 13, 763, 1690, 5961, 814, 527, 1949, 13, 8595, 656, 1274, 10240, 279, 12877, 8092, 30, 578, 6278, 1853, 374, 2653, 11, 1071, 21254, 4317, 11, 1274, 10932, 433, 4228, 13, 1102, 596, 2653, 311, 23075, 279, 31954, 311, 927, 3055, 2574, 13, 362, 3488, 574, 4691, 922, 21955, 6261, 13, 28237, 34202, 19089, 430, 433, 374, 3062, 311, 1427, 520, 6261, 85121, 13, 4761, 13570, 6261, 11, 433, 374, 26225, 311, 3719, 14604, 477, 19971, 278, 922, 6261, 13, 90422, 6261, 3445, 25694, 1148, 374, 11, 323, 53583, 311, 2349, 13, 21254, 4317, 17501, 1148, 433, 3445, 311, 3021, 6261, 13, 3053, 499, 3021, 701, 12737, 30, 44874, 3507, 11, 433, 3250, 956, 1205, 311, 387, 10456, 627, 2170, 420, 12399, 5039, 11, 279, 46232, 1051, 1633, 7185, 323, 5655, 13, 358, 2216, 14333, 7182, 323, 2322, 1063, 1633, 1695, 1274, 13, 128001, 128000, 8991, 374, 682, 922, 3575, 22581, 13, 3861, 315, 279, 1888, 5627, 311, 1520, 2911, 4048, 7033, 374, 311, 3118, 1124, 449, 264, 3575, 304, 902, 814, 617, 311, 53165, 872, 1866, 15174, 311, 1505, 279, 6425, 1161, 570, 2684, 374, 6118, 810, 1109, 220, 16, 1648, 311, 11886, 7033, 5435, 323, 2911, 1205, 279, 6776, 311, 7142, 56020, 323, 872, 1866, 26249, 311, 8417, 279, 8475, 6425, 11, 814, 1288, 1101, 9541, 872, 6425, 1161, 4390, 791, 2768, 7033, 3492, 5435, 527, 3230, 369, 2911, 304, 279, 26084, 12239, 323, 527, 18255, 1139, 279, 1925, 7033, 36460, 70, 2490, 25, 5742, 76872, 11, 63823, 323, 77543, 11, 40018, 323, 55340, 11, 2956, 9744, 323, 87739, 13, 15394, 1288, 387, 6532, 304, 3575, 22581, 7640, 1475, 1938, 13, 45635, 369, 2132, 12239, 4236, 1288, 387, 1373, 311, 1124, 13, 20783, 1288, 1101, 387, 3025, 311, 7664, 3249, 872, 10105, 990, 477, 1268, 814, 1440, 433, 596, 279, 1314, 6425, 13, 3092, 7075, 3488, 311, 2911, 374, 364, 5269, 656, 499, 1440, 4527, 3277, 814, 617, 311, 10552, 1268, 814, 11721, 520, 872, 4320, 11, 499, 7214, 1440, 279, 6975, 430, 706, 4529, 2035, 627, 58756, 323, 77543, 198, 70172, 596, 24978, 17057, 459, 384, 9483, 278, 6469, 13, 220, 806, 1274, 11096, 279, 6469, 13, 9062, 315, 315, 1124, 3288, 459, 2613, 311, 1855, 315, 279, 3697, 315, 279, 6469, 13, 2650, 1690, 14633, 1051, 3604, 3288, 30, 2650, 656, 499, 1440, 30, 29497, 6763, 369, 279, 23360, 6412, 1051, 38199, 13, 13625, 1274, 11021, 14741, 389, 279, 1176, 1938, 315, 6763, 11, 11157, 439, 1690, 1274, 11021, 14741, 389, 279, 2132, 1938, 323, 1855, 1938, 27905, 11157, 439, 1690, 1274, 11021, 14741, 13, 2650, 1690, 14741, 1051, 6216, 1306, 220, 845, 2919, 5380, 1061, 9744, 323, 87739, 198, 35919, 63654, 25, 4491, 13, 7957, 706, 220, 975, 19987, 11, 12875, 323, 1709, 35518, 49910, 13, 3639, 527, 682, 279, 28559, 568, 1436, 617, 5380, 4438, 1690, 2204, 4595, 315, 23317, 649, 499, 1304, 449, 279, 2768, 90771, 25, 25349, 21446, 11, 41613, 11, 41452, 11, 45697, 323, 6307, 58573, 30, 7073, 701, 4320, 627, 24903, 11021, 220, 23, 5041, 19079, 11, 832, 369, 1855, 315, 1077, 8223, 4885, 11, 369, 400, 23, 13, 2721, 1855, 13, 578, 91455, 11684, 1077, 459, 5217, 400, 717, 13, 2589, 304, 6763, 3827, 13, 3005, 2163, 279, 3637, 449, 264, 7038, 989, 400, 21, 13, 1591, 13, 2650, 1790, 3300, 1550, 8388, 1212, 449, 5380, 21450, 323, 55340, 627, 14581, 701, 7075, 12707, 1501, 505, 7314, 311, 842, 13, 4212, 1855, 315, 279, 63595, 323, 8417, 279, 11668, 315, 8518, 892, 369, 279, 4553, 1501, 13, 4800, 8417, 279, 11668, 315, 892, 279, 5150, 1501, 374, 13, 3639, 374, 279, 19983, 315, 63595, 5380, 11874, 32440, 527, 30488, 1855, 1023, 13, 3861, 9518, 706, 220, 21, 3115, 279, 84354, 315, 279, 1023, 9518, 11, 1268, 1690, 3115, 7191, 374, 279, 3158, 315, 279, 8294, 9518, 30, 2650, 656, 499, 1440, 30, 128001, 128000, 32298, 25, 1556, 5707, 39662, 13552, 7559, 220, 975, 8931, 1022, 315, 264, 7833, 80944, 374, 311, 387, 8599, 555, 264, 15660, 311, 264, 5790, 727, 220, 605, 8931, 1523, 279, 13962, 505, 279, 1486, 6089, 14329, 279, 39662, 13552, 13, 445, 17718, 13961, 1234, 3090, 7194, 220, 2636, 11, 931, 11441, 824, 14929, 13, 445, 17718, 13961, 389, 4363, 7194, 220, 3101, 11, 931, 11441, 824, 14929, 13, 3639, 10824, 315, 46474, 323, 4363, 6108, 13961, 690, 30437, 279, 2860, 2853, 315, 279, 15660, 5380, 2520, 1457, 358, 4265, 1120, 1093, 1520, 13633, 279, 6945, 1606, 304, 856, 6548, 420, 374, 1633, 31555, 5439, 13, 2100, 649, 4423, 1520, 757, 704, 449, 264, 6945, 369, 420, 30, 128001, 128000, 34, 11967, 11249, 25, 8886, 56071, 59461, 555, 19646, 7917, 5380, 4438, 649, 264, 9572, 2586, 1203, 1306, 433, 596, 14132, 1027, 56537, 10297, 30, 14853, 502, 7978, 505, 3778, 11, 49162, 11, 8013, 323, 24113, 12074, 527, 48227, 287, 264, 1317, 6953, 65, 660, 4623, 25, 430, 56071, 6782, 872, 1866, 7463, 315, 19646, 7917, 430, 649, 31370, 323, 2567, 10633, 287, 279, 9572, 11, 95515, 1239, 19632, 627, 2746, 430, 596, 837, 11, 14248, 690, 1205, 311, 1505, 264, 1648, 311, 5622, 1884, 7917, 11, 10980, 505, 1268, 814, 3440, 279, 2800, 315, 279, 36254, 627, 626, 336, 7917, 304, 9498, 39881, 527, 3967, 369, 872, 5845, 311, 8356, 904, 3169, 315, 2849, 13, 578, 502, 3495, 12789, 449, 264, 2204, 3169, 11, 9572, 19646, 7917, 13, 4427, 12074, 11, 719, 539, 682, 11, 4510, 814, 47747, 74, 439, 264, 23135, 287, 4668, 304, 56071, 627, 1959, 279, 3347, 13515, 11, 7978, 617, 1766, 6029, 369, 1124, 304, 56071, 1093, 17659, 323, 15235, 51423, 13, 2030, 420, 3495, 706, 14090, 79101, 389, 43929, 287, 3823, 9572, 7917, 1139, 24548, 430, 1541, 956, 617, 22852, 6067, 11, 459, 21075 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4676, 430, 25930, 4860, 922, 279, 41961, 315, 279, 3135, 627, 7184, 11, 2380, 7978, 5068, 2930, 8079, 304, 279, 42780, 22037, 323, 10170, 3118, 6029, 369, 9572, 19646, 7917, 2949, 279, 4113, 56071, 13, 14077, 11, 279, 3495, 34744, 389, 24548, 13, 3011, 323, 1023, 9547, 3152, 279, 502, 14955, 2103, 2834, 956, 28008, 5127, 430, 9572, 19646, 7917, 527, 1401, 311, 9455, 810, 8147, 22972, 627, 4071, 32185, 34297, 4366, 2649, 11, 315, 279, 3907, 315, 8421, 4987, 31382, 13235, 5955, 304, 19051, 11, 13919, 813, 2128, 374, 8800, 2555, 13, 1283, 2795, 430, 369, 279, 955, 315, 8271, 36254, 813, 2128, 20041, 11, 330, 906, 3077, 11054, 279, 837, 9354, 10246, 2746, 813, 9455, 17208, 311, 1023, 51423, 11, 568, 1071, 11, 1243, 1524, 422, 62730, 48863, 14362, 15872, 264, 36254, 719, 3250, 956, 7958, 1202, 8312, 315, 9572, 19646, 7917, 11, 330, 1225, 2697, 5208, 706, 3604, 1027, 1903, 10246, 791, 2380, 7978, 1511, 55402, 12823, 311, 11917, 279, 66004, 315, 7917, 2949, 8814, 56071, 627, 48604, 3210, 11, 814, 3041, 330, 1225, 3831, 1862, 1, 311, 279, 9572, 19646, 2849, 10334, 11, 1071, 42107, 386, 13, 35120, 11, 264, 14561, 315, 31206, 323, 35693, 34458, 520, 71147, 9304, 315, 19152, 304, 16386, 13, 1283, 1550, 539, 16136, 304, 279, 990, 719, 11815, 279, 10334, 11, 902, 568, 1071, 374, 13882, 11928, 627, 4368, 2649, 596, 2128, 6575, 449, 24548, 52033, 9036, 291, 311, 2274, 264, 3738, 955, 315, 8271, 36254, 13, 578, 14248, 52033, 30929, 4040, 7917, 304, 279, 36254, 323, 1243, 18855, 279, 9572, 449, 279, 1890, 5623, 2728, 311, 3823, 6978, 13, 1102, 29910, 7982, 36254, 7917, 323, 28191, 18417, 279, 9572, 596, 6650, 627, 6153, 6514, 11, 994, 279, 36254, 3940, 7982, 1578, 304, 279, 24548, 11, 279, 12074, 8710, 430, 279, 13057, 8857, 11, 422, 539, 682, 11, 315, 1202, 502, 7917, 1047, 58842, 505, 279, 30929, 7917, 13, 41974, 1521, 1051, 279, 36254, 596, 9572, 19646, 7917, 11, 814, 20536, 627, 4368, 2649, 1071, 813, 2128, 374, 1457, 4560, 311, 43223, 9572, 19646, 7917, 505, 8814, 8271, 51423, 311, 4007, 1124, 323, 8530, 636, 1063, 11767, 369, 11469, 52312, 311, 89514, 1124, 627, 1548, 1101, 1071, 430, 33269, 4007, 315, 3823, 8271, 56071, 374, 17843, 3135, 13263, 449, 1148, 813, 2128, 1766, 304, 279, 24548, 627, 4368, 2649, 596, 4007, 8111, 304, 22037, 13, 763, 264, 2132, 22037, 1934, 11, 8013, 323, 49162, 12074, 1766, 6029, 369, 9572, 19646, 7917, 304, 4216, 6566, 6930, 56071, 304, 24548, 13, 1628, 304, 279, 8486, 10170, 11, 264, 24113, 1912, 1766, 1778, 6029, 304, 8814, 63900, 1499, 76299, 11, 902, 527, 5956, 34291, 311, 15235, 9572, 627, 39320, 85787, 315, 279, 76996, 735, 65964, 67963, 26211, 5955, 520, 53240, 45316, 3907, 304, 24899, 374, 44929, 922, 3508, 56071, 6782, 9572, 19646, 7917, 13, 1283, 1071, 430, 2533, 279, 502, 7978, 3287, 956, 21736, 3823, 56071, 11, 433, 596, 539, 2867, 1268, 9959, 814, 527, 311, 1274, 627, 791, 1403, 7665, 7978, 10968, 14090, 389, 63324, 430, 649, 3063, 311, 56071, 11, 568, 1071, 13, 1628, 439, 369, 4366, 2649, 596, 8271, 9572, 4007, 11, 568, 1071, 568, 11846, 279, 3135, 1436, 387, 11497, 2085, 39661, 389, 279, 9572, 19646, 2849, 10334, 627, 13857, 220, 679, 17, 578, 26475, 8612, 13, 2052, 3268, 4694, 13, 1115, 3769, 1253, 539, 387, 4756, 11, 13195, 11, 59624, 477, 74494, 627, 12, 19723, 13533, 502, 6514, 2218, 369, 29032, 677, 4354, 7942, 2814, 7398, 68, 5033, 220, 1721, 11, 220, 679, 17, 765, 539, 22359, 3686, 765, 220, 15, 198, 12, 26211, 19646, 2849, 25474, 304, 4500, 5039, 3276, 275, 69361, 2515, 5186, 220, 2437, 11, 220, 679, 17, 765, 539, 22359, 3686, 765, 220, 15, 198, 12, 6385, 1512, 258, 11811, 17659, 9572, 19646, 7917, 10263, 220, 2545, 11, 220, 1049, 23, 765, 539, 22359, 3686, 765, 220, 15, 198, 12, 1561, 3560, 369, 650, 50804, 4060, 8942, 59544, 34871, 38829, 304, 58499, 6930, 9572, 19646, 7917, 5020, 220, 777, 11, 220, 679, 16, 765, 539, 22359, 3686, 765, 220, 15, 198, 12, 81948, 7917, 11, 4754, 2592, 315, 9572, 2269, 45850, 350, 7917, 17907, 220, 508, 11, 220, 679, 16, 765, 539, 22359, 3686, 765, 220, 15, 198, 12, 27660, 21063, 17951, 1639, 25, 5234, 64913, 2515, 11774, 9749, 11633, 21063, 32946, 5186, 220, 1419, 11, 220, 679, 18, 765, 220, 18, 611, 220, 20, 320, 17, 8, 765, 220, 17, 198, 12, 42033, 499, 649, 656, 358, 649, 656, 2731, 25, 45950, 442, 43943, 41582, 315, 279, 66732, 41919, 320, 4387, 8, 5186, 220, 2437, 11, 220, 679, 18, 765, 220, 19, 13, 20, 611, 220, 20, 320, 806, 8, 765, 220, 20, 198, 12, 578, 9302, 1887, 439, 46215, 25, 61577, 5211, 24691, 304, 9302, 34185, 2947, 220, 966, 11, 220, 679, 18, 765, 220, 20, 611, 220, 20, 320, 17, 8, 765, 220, 24, 198, 12, 77240, 6439, 25, 4275, 324, 25180, 323, 47120, 278, 10345, 25632, 598, 1654, 283, 50185, 2947, 220, 1544, 11, 220, 679, 18, 765, 220, 19, 13, 24, 611, 220, 20, 320, 23, 8, 765, 220, 15, 198, 12, 328, 4954, 2574, 709, 25, 578, 41993, 18247, 81162, 315, 5569, 304, 959, 5397, 13806, 220, 1591, 11, 220, 679, 18, 765, 220, 19, 13, 23, 611, 220, 20, 320, 605, 8, 765, 220, 975, 198, 69369, 67868, 16029, 25, 53010, 32562, 321, 40090, 1541, 956, 1304, 5647, 198, 11356, 220, 972, 11, 220, 679, 18, 5659, 7410, 67868, 16029, 315, 279, 21271, 323, 15489, 7147, 320, 68597, 6685, 705, 358, 1541, 956, 3619, 3249, 1053, 279, 36573, 74422, 7410, 315, 279, 21271, 374, 9522, 2746, 499, 6244, 8271, 6953, 329, 11, 1053, 499, 1390, 1124, 311, 6958, 279, 20206, 5380, 11356, 220, 1114, 11, 220, 679, 18, 358, 4265, 1390, 279, 2800, 315, 757, 311, 4822, 13989, 13, 23371, 433, 596, 264, 326, 94623, 1648, 311, 3974, 719, 433, 34427, 1694, 682, 10826, 27896, 5710, 13, 10926, 422, 358, 1304, 433, 220, 508, 1667, 814, 3358, 9522, 79770, 4121, 3488, 198, 11356, 220, 868, 11, 220, 679, 18, 43922, 29515, 388, 11, 578, 8952, 6688, 603, 264, 400, 717, 74, 4121, 369 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 832, 52460, 320, 2025, 449, 13168, 570, 578, 1274, 358, 15243, 311, 520, 279, 8952, 3371, 757, 430, 814, 656, 539, 9522, 23617, 315, 40602, 4469, 315, 87669, 304, 70596, 10297, 21995, 49475, 198, 11356, 220, 1032, 11, 220, 679, 18, 1666, 459, 9526, 11, 369, 279, 3347, 2478, 4038, 358, 3077, 1027, 35208, 520, 3325, 832, 13651, 315, 622, 616, 24540, 477, 653, 1517, 76486, 54450, 18316, 15111, 824, 1938, 13, 358, 2846, 220, 1227, 11, 304, 1633, 9522, 2149, 11353, 323, 65802, 8778, 5237, 268, 198, 11356, 220, 1032, 11, 220, 679, 18, 8505, 25, 14931, 369, 279, 86205, 304, 279, 2316, 1174, 649, 956, 4600, 358, 7111, 2212, 389, 11819, 5115, 264, 2766, 323, 433, 596, 1633, 2653, 311, 1505, 24473, 2038, 389, 279, 9522, 12331, 648, 13182, 648, 596, 96306, 198, 11356, 220, 1032, 11, 220, 679, 18, 12838, 5606, 1440, 1148, 2643, 387, 279, 5353, 315, 33116, 13182, 648, 596, 9572, 198, 12, 4497, 505, 28415, 45615, 482, 13235, 23199, 198, 7816, 3754, 7493, 198, 18788, 261, 47447, 9572, 6978, 449, 1023, 16940, 2890, 4787, 1288, 1781, 11157, 1603, 40583, 311, 15173, 477, 25407, 15419, 369, 872, 9572, 11, 4184, 311, 264, 92520, 1992, 4007, 6197, 555, 12074, 304, 279, 50751, 12515, 34, 11967, 220, 806, 4207, 4227, 765, 539, 22359, 3686, 765, 220, 15, 9432, 77982, 17515, 7913, 25407, 15419, 706, 3719, 279, 1455, 17037, 1511, 955, 315, 25407, 304, 47447, 9572, 11, 719, 3495, 505, 279, 3907, 315, 4892, 13030, 13533, 430, 279, 15419, 1253, 539, 387, 810, 7524, 1109, 9191, 11, 12515, 34, 11967, 220, 1032, 4207, 4227, 765, 539, 22359, 3686, 765, 220, 15, 198, 3648, 3495, 13533, 430, 264, 24549, 44611, 304, 279, 38785, 10173, 5097, 3201, 9572, 7917, 6, 330, 9712, 13477, 1, 311, 12731, 4648, 13, 3296, 60923, 264, 1633, 3230, 3094, 304, 15207, 19812, 11, 420, 24549, 16168, 312, 12, 25802, 988, 9572, 12515, 34, 11967, 220, 975, 4207, 4227, 765, 220, 19, 13, 23, 611, 220, 20, 320, 717, 8, 765, 220, 17, 9432, 7, 14884, 10369, 68850, 2520, 3995, 12884, 33921, 3060, 264, 15489, 477, 37084, 258, 454, 301, 45775, 25157, 10390, 5814, 320, 1182, 705, 279, 2875, 9860, 5326, 315, 4648, 505, 16940, 93144, 19025, 374, 7191, 1109, 279, 1317, 9860, 5326, 315, 25407, 38973, 12515, 34, 11967, 220, 868, 4207, 4227, 765, 539, 22359, 3686, 765, 220, 15, 198, 644, 264, 502, 4007, 7633, 304, 279, 8486, 77854, 34224, 11, 12074, 16805, 1268, 264, 1401, 2851, 304, 2849, 6650, 11, 40368, 323, 279, 47288, 2077, 649, 387, 24411, 1139, 264, 6156, 26373, 311, 36254, 6650, 627, 34, 11967, 220, 508, 4207, 4227, 765, 539, 22359, 3686, 765, 220, 15, 9432, 32, 48078, 22643, 27875, 28568, 7742, 6476, 1523, 330, 939, 1197, 2902, 269, 7787, 26350, 1, 430, 264, 502, 17188, 26800, 690, 34044, 449, 279, 4754, 311, 5622, 11990, 315, 1274, 627, 2983, 4520, 4227, 765, 220, 20, 611, 220, 20, 320, 16, 8, 765, 220, 15, 198, 2822, 502, 3823, 5157, 315, 279, 473, 22, 45, 24, 17188, 617, 1027, 12715, 304, 5734, 369, 264, 2046, 11, 5426, 2890, 11527, 1071, 11, 369, 279, 1176, 892, 2533, 279, 31188, 6137, 304, 5587, 627, 1187, 4520, 4227, 765, 539, 22359, 3686, 765, 220, 15, 198, 13379, 82, 45316, 12074, 2019, 814, 617, 11352, 3230, 11742, 61086, 304, 1403, 21389, 430, 11, 994, 3118, 2391, 20209, 11, 57482, 7168, 3508, 264, 5333, 690, 2274, 1772, 4581, 372, 18710, 627, 16, 6596, 4227, 765, 539, 22359, 3686, 765, 220, 15, 9432, 3269, 291, 950, 1630, 1911, 68850, 32, 3495, 2128, 11, 6197, 555, 28217, 32817, 11, 264, 34458, 1772, 30659, 5009, 278, 12637, 11, 28847, 8839, 264, 502, 22852, 1887, 430, 36236, 12966, 323, 10099, 505, 19405, 627, 806, 4207, 4227, 765, 220, 19, 13, 21, 611, 220, 20, 320, 1032, 8, 765, 220, 20, 9432, 11800, 889, 617, 16654, 55756, 35320, 527, 220, 1927, 4, 810, 4461, 311, 387, 50320, 304, 64033, 7863, 311, 2536, 1474, 3223, 2920, 2911, 11, 4184, 311, 264, 502, 4007, 555, 6342, 596, 9304, 7295, 13, 578, 12283, 16430, 430, 279, 27344, 477, 7524, 12515, 16, 6596, 4227, 765, 539, 22359, 3686, 765, 220, 15, 198, 42298, 26928, 14675, 311, 9629, 14228, 3805, 25793, 574, 12207, 5938, 449, 5190, 17508, 7323, 12483, 520, 4325, 220, 22, 11, 4184, 311, 502, 3495, 505, 279, 3907, 315, 36239, 320, 5576, 8, 323, 36239, 15394, 596, 15429, 12515, 20, 4207, 4227, 765, 539, 22359, 3686, 765, 220, 15, 765, 128001, 128000, 791, 19313, 19177, 9107, 279, 1648, 9909, 369, 528, 94694, 61107, 323, 3810, 34754, 43243, 13, 9843, 433, 574, 1664, 9749, 323, 279, 19795, 1051, 23803, 323, 17626, 11, 3131, 25861, 1047, 15042, 709, 3235, 279, 6149, 323, 10687, 304, 279, 80151, 323, 4726, 9909, 1051, 23183, 11, 433, 574, 1193, 5933, 430, 264, 502, 1749, 315, 18386, 1053, 1935, 927, 25, 6566, 1030, 14576, 627, 791, 5557, 4920, 6566, 1030, 14576, 5828, 1431, 502, 13, 3341, 38132, 1051, 279, 6156, 1376, 315, 3148, 18386, 304, 279, 864, 27578, 884, 24766, 4325, 13, 3639, 1903, 6566, 1030, 14576, 2204, 505, 5912, 1841, 38132, 1051, 872, 1404, 323, 279, 1648, 814, 1051, 7396, 389, 279, 13587, 4124, 13, 26848, 1109, 39661, 389, 42242, 11, 902, 503, 537, 839, 264, 38226, 709, 323, 1523, 11, 6566, 1030, 14576, 1903, 1005, 315, 17879, 1347, 2492, 11, 18012, 49349, 430, 7396, 279, 2547, 315, 279, 6566, 89193, 323, 6688, 433, 810, 315, 264, 67724, 11633, 70973, 1030, 14576, 1436, 8965, 5052, 11888, 22961, 4871, 323, 4848, 4994, 13, 28468, 11, 439, 499, 649, 4762, 8101, 11, 8967, 430, 22961, 31796, 4871, 279, 2547, 315, 279, 7395, 13, 2435, 1053, 12141, 389, 2380, 79509, 11, 1403, 13176, 4741, 323, 279, 43780, 832, 13176, 29512, 11, 2380, 30803, 311, 264, 13731, 13, 1666, 499, 649, 13085, 11, 433, 574, 264, 10508, 37663, 13, 10175, 15232, 304, 279, 1176, 1403, 79509, 1053, 3629, 617, 311, 64785, 872, 31624, 1990, 832, 2500, 311, 1304, 3130, 13, 2435, 1053, 6920, 872, 61649, 323, 3629, 617, 8232, 1234, 872, 7693, 13, 2030, 422, 430, 5828, 1431, 3958, 3403, 11, 279, 4848, 22961, 20427, 4994, 315, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 52547, 1053, 387, 1120, 439, 99832, 323, 15246, 311, 279, 5540, 627, 4071, 1148, 22961, 5675, 304, 6981, 11, 814, 1903, 709, 369, 304, 4732, 13, 578, 1455, 4279, 955, 315, 6566, 89193, 574, 279, 64193, 6566, 89193, 11, 28648, 304, 64193, 11, 1561, 31997, 13, 4314, 6566, 1030, 14576, 19029, 14760, 1523, 13, 2435, 1051, 15107, 555, 264, 2128, 315, 4848, 27928, 323, 1436, 4018, 1555, 279, 502, 5754, 2336, 315, 279, 9909, 1790, 10819, 1109, 904, 61519, 5542, 3596, 1436, 627, 2028, 374, 961, 315, 279, 2944, 430, 4661, 682, 6566, 1030, 14576, 11953, 8232, 439, 1664, 439, 22961, 13, 4497, 1109, 1120, 8232, 11, 304, 2144, 13, 1102, 574, 4279, 369, 6566, 1030, 14576, 311, 6920, 6761, 323, 8515, 1694, 40460, 389, 17981, 315, 832, 6201, 477, 2500, 13, 1115, 11, 315, 3388, 11, 8967, 430, 1070, 574, 264, 1972, 8137, 315, 71650, 552, 3235, 279, 5754, 627, 791, 1176, 3682, 6566, 89193, 44214, 304, 7188, 3952, 2035, 304, 220, 9741, 17, 994, 1050, 491, 1944, 13926, 323, 813, 13481, 63354, 264, 27966, 4409, 7395, 13, 578, 13481, 1047, 743, 709, 264, 4009, 315, 6179, 1821, 311, 8891, 994, 18094, 1051, 5108, 323, 1148, 3300, 323, 22961, 814, 1051, 15691, 13, 2435, 11953, 1022, 279, 568, 380, 11, 6376, 264, 47891, 430, 1690, 1053, 1833, 13, 1789, 430, 2944, 11, 323, 1606, 315, 279, 1633, 1972, 6023, 315, 8951, 555, 17118, 9053, 11, 22961, 1051, 26160, 311, 6920, 16766, 323, 49995, 449, 1124, 323, 12050, 1051, 1664, 17903, 627, 4516, 11, 499, 2643, 2610, 6261, 13, 10699, 574, 304, 6900, 315, 682, 1521, 6566, 1030, 14576, 30, 1472, 4762, 2736, 1440, 279, 4320, 2085, 14392, 433, 13, 2684, 1051, 3892, 6566, 89193, 5220, 304, 279, 11226, 430, 1047, 1027, 304, 5784, 1524, 1603, 279, 220, 777, 339, 9478, 13, 2030, 832, 315, 279, 8706, 323, 1455, 6992, 5220, 8040, 304, 279, 220, 10750, 15, 82, 439, 264, 2532, 311, 6493, 14519, 1990, 10406, 11, 1561, 4356, 11, 323, 19895, 13, 27329, 612, 8351, 27115, 7882, 9909, 439, 20930, 18143, 12860, 927, 1974, 11543, 369, 5043, 18386, 1990, 279, 3682, 24024, 9919, 627, 2654, 4214, 612, 8351, 1550, 1664, 304, 7188, 1306, 279, 6761, 13270, 11, 3156, 5906, 43573, 323, 279, 49179, 315, 264, 6129, 43940, 5614, 4395, 13, 3011, 43940, 574, 264, 2697, 2883, 3940, 555, 1403, 3026, 11, 18063, 37958, 323, 12656, 480, 13, 58750, 13, 578, 2883, 430, 37958, 323, 58750, 3940, 9076, 810, 1109, 1120, 6566, 89193, 2532, 13, 1102, 9076, 23641, 323, 8232, 3600, 439, 1664, 13, 763, 2144, 11, 555, 279, 892, 279, 220, 9741, 15, 82, 23255, 2212, 11, 37958, 58750, 574, 13882, 3967, 311, 387, 10819, 323, 810, 15062, 922, 24944, 279, 8232, 1109, 279, 549, 815, 13, 55317, 2532, 627, 12487, 3782, 279, 84840, 315, 220, 9741, 20, 13, 578, 7188, 23641, 1887, 11, 281, 41673, 709, 389, 33422, 315, 8738, 22613, 505, 279, 7573, 35175, 11, 29368, 13, 9176, 9873, 11, 2737, 27329, 612, 8351, 11, 48135, 13, 2030, 37958, 58750, 9152, 311, 3412, 389, 13, 2876, 1193, 1550, 433, 3412, 389, 11, 433, 22763, 439, 832, 315, 279, 1193, 31528, 2671, 304, 6566, 89193, 18386, 627, 12834, 37958, 58750, 5128, 1790, 1047, 264, 54301, 389, 6566, 89193, 18386, 304, 279, 9909, 1306, 220, 9741, 20, 11, 814, 1436, 1304, 279, 5718, 13, 1628, 1063, 315, 1884, 5718, 1051, 512, 5953, 95821, 505, 45304, 374, 11472, 11, 719, 422, 499, 2011, 7172, 4430, 279, 16893, 13, 2057, 656, 6062, 3727, 499, 5101, 45743, 323, 653, 37569, 398, 627, 2746, 23628, 527, 3118, 11, 58909, 527, 28932, 311, 2291, 3427, 20149, 82215, 323, 32275, 439, 279, 54097, 315, 1890, 374, 2109, 773, 52985, 311, 279, 16265, 1565, 1877, 13, 921, 79510, 27531, 374, 15480, 11, 719, 57087, 449, 279, 10160, 11, 539, 2403, 433, 627, 38, 306, 42407, 2011, 58608, 505, 279, 1005, 315, 11413, 4221, 304, 279, 9546, 315, 23628, 323, 2911, 627, 35361, 12812, 71268, 527, 3984, 369, 701, 6981, 304, 9439, 9282, 13, 50869, 3252, 71268, 690, 539, 387, 66441, 323, 279, 47753, 690, 387, 1903, 311, 12141, 449, 279, 5696, 627, 8161, 1431, 4224, 461, 54945, 1418, 21811, 477, 1005, 701, 12637, 24023, 753, 17308, 369, 264, 43425, 26, 568, 477, 1364, 1253, 539, 3619, 323, 39676, 1253, 1121, 627, 17111, 16293, 1253, 387, 8774, 389, 701, 1732, 369, 1005, 304, 69074, 13, 3234, 539, 4027, 1124, 369, 17069, 477, 6230, 520, 8545, 10099, 439, 279, 5222, 436, 3742, 279, 27928, 627, 644, 279, 1567, 315, 91740, 27928, 7293, 19858, 13, 2009, 14550, 505, 279, 7395, 304, 22743, 690, 5387, 499, 15902, 11, 520, 279, 39324, 315, 279, 5540, 11, 33615, 30507, 323, 30056, 75709, 6429, 627, 70215, 13650, 315, 10652, 527, 25, 6566, 89193, 71650, 552, 323, 7904, 709, 6091, 826, 627, 38, 812, 16390, 315, 653, 331, 4023, 27620, 7865, 9017, 17240, 22961, 690, 387, 2231, 1022, 279, 6566, 13, 1102, 753, 264, 1317, 4321, 1203, 13, 362, 3492, 311, 279, 24219, 374, 14343, 31795, 4516, 1070, 499, 617, 433, 13, 22891, 89193, 18386, 304, 279, 10846, 4410, 13, 18589, 287, 555, 6566, 89193, 574, 279, 1193, 1648, 311, 733, 304, 1884, 2919, 4696, 3156, 279, 51576, 3782, 3235, 323, 5614, 4395, 21060, 128001, 128000, 32, 5780, 369, 13353, 11, 430, 374, 11, 369, 46620, 9908, 315, 7732, 11, 9501, 11, 477, 1023, 3769, 11, 555, 14718, 1124, 311, 5891, 4035, 1418, 31532, 5304, 555, 264, 14713, 5507, 627, 71903, 11, 264, 5780, 430, 282, 1003, 919, 990, 555, 3339, 279, 990, 2543, 389, 459, 8183, 13, 578, 14713, 374, 2884, 555, 264, 5507, 430, 374, 539, 42496, 13, 1952, 7732, 326, 589, 288, 279, 7732, 6118, 10800, 1990, 279, 2010, 13787, 323, 279, 9986, 13787, 13, 578, 2543, 261, 10187, 279, 5507, 555, 1450, 323, 11031, 433, 311, 4018, 5370, 21483, 389, 279, 7732, 13, 1952, 9501, 326, 589, 288, 279, 990, 320, 69386, 3769, 374, 1694, 68556, 8, 10800, 323, 279, 5507, 374, 5762, 33956, 24797, 279, 5793, 11031, 279, 5507, 1701, 1450, 23529, 13, 445, 589, 288, 527, 1633, 33045, 11, 2586, 304, 264, 52909, 315, 9404, 11, 323, 1690, 43561, 279, 3485, 17931, 13 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12404, 649, 387, 4018, 304, 904, 9501, 6987, 383, 323, 8579, 37182, 649, 6118, 387, 4018, 389, 7732, 326, 589, 288, 627, 32, 5780, 430, 374, 1511, 369, 3318, 37182, 323, 68386, 555, 42496, 922, 279, 16600, 8183, 2403, 264, 5507, 430, 21483, 433, 627, 32, 5780, 430, 45858, 45888, 11, 1115, 3727, 433, 5016, 439, 682, 1023, 2410, 7526, 3351, 24797, 279, 45888, 8625, 1118, 627, 32, 326, 589, 288, 374, 264, 5780, 902, 10187, 264, 6710, 315, 7732, 477, 9501, 1990, 1403, 19169, 323, 10800, 433, 779, 279, 990, 649, 387, 27367, 555, 1450, 58606, 330, 413, 287, 523, 285, 2053, 1210, 15819, 24026, 477, 1450, 1589, 41872, 627, 32, 5780, 6319, 311, 4219, 264, 6710, 315, 7732, 389, 459, 8183, 25, 439, 433, 10800, 11, 279, 7732, 413, 261, 649, 4018, 1139, 279, 7732, 311, 1893, 8045, 59402, 6302, 627, 64, 5780, 430, 3412, 264, 6710, 315, 9501, 477, 7732, 323, 10800, 433, 19019, 2403, 264, 14713, 5507, 369, 46620, 17830, 11, 568, 1511, 264, 6987, 383, 311, 6211, 279, 23162, 19763, 627, 32, 5780, 389, 902, 18929, 527, 83612, 311, 7692, 77851, 261, 369, 88998, 627, 33156, 5507, 369, 46620, 9501, 477, 7732, 26, 279, 990, 23164, 10800, 922, 264, 16600, 8183, 2403, 264, 8521, 5507, 198, 64, 4279, 5507, 1511, 304, 98423, 198, 64, 5780, 369, 10223, 279, 6211, 315, 264, 6710, 315, 7732, 11, 9501, 11, 5099, 198, 64, 5780, 369, 1005, 304, 3318, 9501, 477, 7732, 902, 10187, 279, 3769, 323, 90159, 433, 2403, 264, 5507, 430, 21483, 433, 198, 64, 5780, 304, 902, 264, 6710, 315, 7732, 374, 46720, 2212, 264, 8521, 8183, 1418, 1694, 27367, 555, 264, 8521, 5507, 198, 64, 5780, 430, 15455, 3201, 2678, 15055, 315, 279, 1081, 311, 15301, 433, 311, 264, 490, 3340, 1614, 198, 64, 5780, 430, 10187, 279, 7732, 389, 264, 19019, 38960, 8183, 198, 64, 5780, 430, 90159, 264, 6710, 315, 7732, 311, 1893, 264, 14113, 28029, 2955, 994, 279, 7732, 374, 4018, 449, 264, 523, 66394, 198, 64, 5780, 430, 10800, 9501, 1174, 7732, 11, 5099, 198, 64, 5780, 5507, 369, 46620, 9501, 477, 1023, 3769, 198, 64, 5780, 5507, 11, 11951, 6319, 311, 1520, 304, 279, 198, 64, 5780, 5507, 430, 27983, 28029, 14491, 555, 42496, 279, 2683, 2212, 459, 8183, 323, 14713, 433, 449, 264, 5507, 198, 64, 5780, 5507, 430, 29260, 36021, 3769, 505, 264, 79610, 990, 6710, 555, 42496, 433, 2403, 264, 14713, 5507, 198, 64, 5780, 5507, 1511, 311, 8356, 22936, 5596, 449, 79610, 4519, 198, 64, 5780, 1511, 369, 46620, 5596, 198, 64, 5780, 1511, 369, 13353, 7732, 11, 9501, 323, 1023, 7384, 555, 42496, 279, 4652, 2403, 7526, 902, 4018, 433, 311, 6211, 198, 64, 5780, 1511, 311, 2543, 18460, 6302, 198, 64, 81292, 5507, 198, 276, 14154, 5507, 430, 574, 1511, 555, 279, 82604, 11, 61780, 11, 49817, 11, 323, 1023, 14154, 323, 42108, 32538, 198, 276, 1665, 3549, 555, 87126, 264, 71186, 16029, 11, 902, 27667, 279, 42533, 315, 279, 6211, 11, 2212, 459, 8183, 198, 64, 2410, 5507, 430, 45858, 279, 13587, 2212, 323, 14297, 21483, 433, 3156, 682, 279, 11314, 527, 279, 1890, 198, 64, 5507, 369, 3339, 4883, 2574, 198, 64, 5507, 1511, 311, 1893, 6302, 449, 79610, 46220, 1778, 439, 2007, 14535, 198, 64, 48174, 4228, 311, 1304, 28694, 5507, 198, 64, 5780, 369, 46620, 264, 6710, 315, 7732, 11, 9501, 11, 5099, 13, 555, 10168, 323, 13353, 433, 19019, 2403, 279, 6964, 315, 279, 14713, 5507, 627, 32, 5507, 11, 6118, 1949, 11509, 11, 369, 13353, 264, 6710, 1418, 7526, 527, 5762, 2403, 433, 13, 46402, 3892, 7693, 1317, 323, 922, 264, 4579, 7029, 13, 34496, 326, 589, 288, 527, 1511, 369, 7732, 477, 9501, 320, 269, 9168, 8, 9863, 13, 362, 6987, 383, 17037, 706, 264, 2010, 13787, 430, 67339, 279, 6710, 323, 706, 54260, 323, 264, 9048, 6678, 369, 13353, 279, 6710, 323, 264, 9986, 13787, 430, 28292, 279, 1023, 842, 315, 1317, 9863, 13, 7648, 326, 589, 288, 2187, 3318, 264, 6710, 5762, 1193, 520, 279, 2010, 13787, 11, 439, 369, 3339, 19763, 27367, 9863, 13, 578, 9986, 13787, 374, 14614, 22563, 389, 43700, 320, 1820, 4950, 8, 779, 433, 649, 387, 7882, 30357, 311, 2204, 27650, 1418, 9861, 31288, 389, 279, 2010, 13787, 13, 362, 7732, 6987, 383, 690, 617, 264, 5507, 2800, 311, 1520, 8641, 279, 66049, 7526, 3235, 279, 6710, 1418, 264, 9501, 6987, 383, 690, 617, 264, 6573, 5507, 12102, 449, 22733, 34074, 311, 51571, 279, 7319, 5457, 13, 21396, 326, 589, 288, 527, 1511, 311, 5249, 11298, 323, 3544, 23899, 75002, 369, 12624, 9168, 990, 11, 10494, 1403, 34083, 27210, 439, 8798, 374, 9435, 682, 2212, 279, 10496, 13, 5891, 13, 1049, 18, 12, 2437, 12, 1544, 198, 32, 6987, 383, 374, 1511, 369, 13353, 7384, 1093, 7732, 323, 17685, 994, 814, 527, 1694, 6575, 627, 32, 5780, 5507, 555, 902, 990, 374, 46720, 389, 264, 16600, 8183, 323, 27367, 477, 4018, 555, 264, 8521, 5507, 627, 32, 5780, 902, 75549, 1202, 76964, 555, 42496, 5708, 2403, 902, 5507, 287, 1253, 387, 7263, 311, 11984, 13, 30304, 527, 3629, 27653, 389, 264, 6987, 383, 627, 15335, 5507, 11, 902, 374, 1511, 311, 2543, 7732, 477, 9501, 6302, 779, 430, 14713, 7526, 1253, 6211, 433, 1418, 433, 11, 90159, 627, 22333, 369, 46620, 6656, 5596, 555, 279, 3851, 315, 14713, 13116, 2403, 279, 87126, 7732, 627, 32, 6987, 383, 374, 264, 5780, 5507, 902, 45858, 264, 2565, 315, 3769, 311, 2804, 5370, 7677, 1778, 439, 14713, 11, 9462, 287, 11, 1168, 1103, 287, 11, 39662, 11, 477, 91621, 449, 7526, 430, 527, 9435, 311, 279, 990, 23164, 311, 1893, 459, 1665, 902, 706, 46220, 922, 459, 8183, 315, 12984, 627, 644, 220, 18, 423, 6500, 14515, 11, 264, 326, 70737, 1665, 374, 264, 220, 18, 35, 1646, 6832, 12202, 17484, 374, 9124, 555, 42496, 279, 3585, 315, 264, 71186, 477, 1023, 1486, 743, 2212, 264, 8521, 8183, 13, 578, 326, 44661, 1253, 387, 7276, 26, 279, 3392, 315, 12984, 374, 539, 14647, 264, 2539, 220, 6843, 12628, 13, 578, 1486, 743, 8405, 279, 2926, 2592, 828, 649, 387, 3463, 315, 439, 264, 5425, 3857, 1555, 279, 1665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 627, 32, 9501, 6987, 383, 374, 14281, 4096, 369, 264, 33956, 5780, 5507, 6319, 311, 4148, 3769, 505, 264, 990, 23164, 11, 1555, 279, 1957, 315, 264, 14713, 5507, 13, 2435, 1051, 13517, 6319, 311, 5780, 37182, 4869, 449, 279, 11599, 315, 68386, 323, 1023, 7384, 11, 323, 449, 872, 38088, 60112, 11, 814, 527, 1511, 304, 264, 7029, 2134, 315, 8522, 11, 323, 264, 7353, 2134, 315, 7384, 13, 128001, 128000, 53, 10766, 505, 279, 4216, 24552, 315, 32186, 11, 14539, 26035, 2345, 86243, 836, 3445, 330, 19875, 1481, 21449, 66101, 16514, 39377, 439, 279, 63261, 315, 40386, 13, 10771, 311, 330, 791, 18288, 28033, 1359, 26035, 18728, 4588, 264, 2678, 1716, 4028, 264, 15140, 13, 1666, 568, 1550, 779, 11, 279, 1716, 596, 4785, 14264, 15098, 8987, 13, 3277, 26035, 35070, 430, 433, 9508, 439, 422, 568, 1047, 11953, 279, 4785, 315, 279, 1917, 11, 279, 1716, 20592, 11, 330, 62372, 539, 11, 26035, 11, 369, 539, 1193, 706, 34223, 65162, 279, 4459, 1917, 5304, 26236, 28004, 11, 719, 21058, 889, 3549, 279, 1917, 13, 1789, 358, 1097, 3771, 26236, 6342, 1210, 763, 420, 49941, 2863, 84, 6672, 5621, 41093, 661, 11, 26035, 37387, 1555, 279, 3090, 11, 80654, 439, 568, 10800, 311, 1427, 520, 279, 3771, 9576, 11, 889, 10187, 459, 37466, 304, 5905, 311, 813, 11358, 290, 13, 578, 2678, 11141, 8314, 11149, 505, 279, 1948, 315, 26035, 596, 5687, 527, 264, 69566, 5248, 315, 279, 45125, 19487, 555, 3771, 41128, 422, 279, 36959, 11, 5304, 813, 471, 2162, 11, 39441, 279, 5687, 304, 279, 5015, 11, 433, 1053, 11984, 11141, 323, 14098, 304, 279, 6693, 11829, 14321, 15914, 65139, 389, 279, 17728, 315, 279, 36959, 596, 62494, 323, 389, 279, 35372, 596, 2385, 13519, 430, 420, 6710, 574, 1903, 555, 264, 6761, 34117, 304, 350, 67730, 13, 578, 9559, 447, 661, 11, 8414, 4501, 34683, 11, 21667, 264, 7491, 1285, 6514, 315, 279, 3769, 13, 578, 8579, 11, 9257, 61607, 315, 279, 36959, 596, 62494, 2888, 872, 9501, 20278, 13, 578, 51590, 91354, 27529, 315, 279, 12580, 527, 47093, 555, 279, 42954, 2955, 315, 279, 7013, 13, 578, 51155, 2370, 315, 279, 2875, 90049, 315, 279, 3771, 9576, 11, 279, 7013, 323, 36612, 48788, 315, 279, 36959, 11, 323, 279, 7795, 304, 279, 83321, 3090, 527, 1046, 16243, 555, 279, 98953, 2161, 315, 3544, 5789, 315, 15310, 449, 10107, 62385, 315, 342, 699, 287, 13, 362, 1457, 27578, 267, 62037, 315, 279, 36959, 574, 9277, 304, 279, 2678, 3830, 9960, 449, 26110, 389, 279, 35372, 596, 2385, 11, 1555, 902, 279, 62037, 1436, 387, 3970, 13, 128001, 128000, 12, 12661, 701, 8814, 7597, 927, 279, 2217, 627, 12, 9369, 279, 1314, 8814, 3215, 627, 12, 8593, 279, 330, 8960, 25586, 1666, 1, 477, 279, 330, 8960, 4758, 1666, 1, 5130, 1537, 627, 12, 11502, 279, 6352, 323, 836, 315, 279, 1052, 311, 1893, 627, 24581, 264, 4435, 1052, 5380, 2677, 279, 330, 10343, 2958, 1, 2723, 7559, 3485, 279, 198, 1843, 389, 279, 1314, 311, 6994, 279, 46139, 5905, 198, 35839, 315, 279, 3485, 2217, 13, 5560, 701, 7074, 596, 2958, 13913, 2170, 198, 6192, 3072, 311, 3665, 279, 4435, 2958, 311, 279, 1890, 6352, 1405, 198, 9514, 6924, 279, 2217, 13, 7557, 2771, 4435, 2958, 9070, 374, 198, 2181, 5097, 264, 2478, 198, 61874, 812, 311, 9429, 264, 3254, 2217, 505, 279, 2217, 21130, 499, 198, 52898, 20705, 13, 578, 40916, 330, 7927, 2217, 374, 1694, 20968, 31538, 2037, 690, 387, 12860, 449, 701, 2217, 13, 5321, 387, 8893, 627, 12805, 279, 2217, 374, 198, 5610, 291, 11, 1005, 701, 3566, 7074, 596, 3665, 6945, 477, 3665, 2217, 198, 1723, 311, 3048, 701, 2217, 311, 264, 3813, 389, 701, 6500, 198, 9125, 13, 1952, 5210, 8191, 30252, 11, 499, 649, 3665, 279, 2217, 198, 1729, 18965, 389, 279, 2217, 449, 279, 1314, 8814, 3215, 627, 32, 2477, 5352, 5130, 690, 198, 1395, 12882, 13, 9369, 279, 330, 8960, 25586, 198, 2170, 1, 5130, 1537, 13, 1952, 6785, 48414, 11, 1314, 29218, 389, 279, 198, 1843, 323, 3373, 279, 330, 8960, 4758, 198, 2170, 1, 5130, 1537, 627, 791, 3566, 7074, 198, 14724, 3113, 264, 330, 8960, 25586, 1666, 1, 3321, 13, 2684, 690, 387, 330, 1738, 836, 3047, 2115, 198, 263, 279, 5740, 315, 198, 1820, 10467, 1666, 3321, 13, 10604, 279, 836, 315, 279, 1052, 311, 701, 49837, 198, 438, 4299, 279, 10467, 3215, 13, 5632, 198, 4312, 11, 499, 1288, 1304, 2771, 499, 842, 701, 3986, 449, 279, 662, 18458, 662, 2052, 198, 3726, 24174, 505, 198, 13068, 100168, 28508, 527, 304, 279, 622, 10524, 2217, 128001, 128000, 82657, 25428, 13, 23194, 54231, 7376, 389, 6405, 8165, 69786, 1409, 1215, 67, 8, 430, 568, 706, 8667, 14972, 596, 1314, 311, 990, 7016, 13, 1115, 3727, 14972, 279, 220, 1187, 339, 1614, 311, 6144, 7487, 505, 1694, 9770, 311, 5249, 264, 11552, 13, 47993, 420, 1060, 11, 22319, 6244, 279, 220, 1419, 6634, 1614, 311, 656, 779, 627, 7189, 617, 8667, 279, 11542, 311, 990, 19123, 1139, 2383, 1210, 482, 25428, 23194, 54231, 2345, 23194, 54231, 8165, 69786, 1409, 1215, 67, 8, 6790, 220, 806, 11, 220, 679, 17, 198, 78013, 73956, 11, 330, 1315, 311, 990, 1, 374, 3604, 264, 4382, 323, 1633, 7347, 4947, 13, 1102, 29034, 11552, 17517, 505, 3339, 8323, 315, 11552, 80773, 264, 3044, 315, 14740, 13, 3011, 596, 682, 13, 1252, 919, 649, 3073, 11, 719, 649, 956, 5457, 1274, 311, 3041, 1124, 3300, 13, 3011, 374, 11, 29590, 2011, 28008, 7487, 430, 279, 11552, 1587, 2555, 477, 5825, 2555, 5922, 12798, 369, 627, 3923, 7294, 10398, 592, 7016, 656, 311, 2626, 11, 1314, 4791, 29721, 7016, 656, 311, 29590, 25, 1521, 7016, 5471, 75253, 552, 304, 2015, 311, 6144, 13723, 323, 7487, 627, 4054, 2944, 75253, 552, 527, 834, 69, 76486, 574, 389, 3113, 3432, 389, 279, 14972, 32633, 37125, 13, 1666, 10425, 3298, 263, 1071, 11, 2410, 22681, 82, 11, 719, 433, 374, 10973, 2410, 430, 28335, 311, 22681, 11112, 13, 3277, 264, 11552, 374, 11938, 264, 54301, 11, 430, 2410, 374, 9778, 312, 94561, 439, 264, 330, 1315, 1359, 323, 1243, 439, 459, 55001, 13, 16777, 315, 11552, 2410 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9221, 459, 10548, 430, 1120, 9803, 4661, 904, 3445, 13, 1628, 779, 304, 14972, 3432, 11, 15879, 315, 1314, 311, 990, 1051, 70287, 46671, 323, 872, 3424, 62507, 1534, 323, 14763, 13, 128001, 128000, 791, 16228, 28875, 44853, 927, 220, 5067, 1667, 4227, 389, 279, 10951, 315, 16228, 11, 7559, 304, 279, 6498, 13740, 1990, 9822, 323, 9635, 13, 11450, 11, 19310, 1077, 5469, 315, 81642, 649, 387, 1766, 505, 35440, 311, 1561, 17340, 11, 505, 7008, 311, 4987, 5270, 11, 323, 505, 4987, 10384, 311, 6457, 627, 791, 1176, 81642, 311, 387, 9879, 555, 279, 3778, 16228, 356, 4730, 10229, 1051, 25973, 311, 279, 3723, 4273, 304, 220, 9741, 15, 11, 719, 36952, 505, 16228, 10951, 1047, 1027, 25973, 311, 420, 3224, 1790, 6931, 13, 11450, 11, 1070, 527, 4661, 220, 3443, 11, 931, 16228, 46266, 304, 279, 3723, 4273, 323, 814, 527, 459, 3062, 961, 315, 279, 34479, 5064, 304, 682, 220, 1135, 5415, 13, 7188, 706, 279, 1455, 16228, 46266, 11, 8272, 555, 21073, 11, 19313, 11, 20355, 11, 323, 14689, 627, 45057, 8674, 97310, 17988, 922, 220, 2131, 16701, 520, 7342, 13, 43259, 16228, 28585, 6118, 17988, 922, 220, 15862, 16701, 323, 25000, 922, 220, 16, 11, 2636, 16701, 13, 81642, 5662, 48261, 279, 30758, 315, 682, 34479, 58245, 323, 527, 11297, 53823, 34475, 13, 2435, 1101, 617, 279, 22807, 27331, 2324, 11, 477, 58219, 304, 279, 7625, 10789, 59213, 11, 315, 904, 34479, 28875, 13, 81642, 527, 810, 74582, 315, 8798, 1109, 279, 8294, 58245, 11, 323, 527, 30464, 311, 264, 7029, 2134, 315, 11323, 780, 323, 54001, 4787, 627, 45057, 8674, 14403, 706, 264, 9257, 11, 11113, 17615, 1606, 433, 18182, 5727, 5190, 54208, 315, 13128, 11, 35719, 11, 323, 1023, 3062, 37493, 1109, 14403, 505, 1023, 34479, 58245, 320, 2000, 279, 5652, 14403, 1296, 3135, 11, 4299, 1618, 570, 578, 5066, 13128, 374, 279, 2944, 16228, 14403, 36508, 279, 12474, 3392, 315, 523, 78716, 17604, 25, 220, 717, 13, 1758, 16701, 315, 17604, 505, 220, 1041, 16701, 315, 14403, 13, 1115, 43565, 311, 279, 7692, 315, 5578, 14403, 9124, 304, 279, 3723, 4273, 315, 220, 605, 13, 2371, 16701, 315, 17604, 627, 791, 16228, 374, 279, 1455, 11297, 34479, 17276, 304, 279, 1917, 11, 17843, 810, 16701, 315, 14403, 824, 31123, 315, 2547, 4785, 1109, 904, 1023, 28875, 13, 1556, 5578, 16228, 304, 279, 3723, 4273, 19159, 220, 845, 3115, 1077, 2547, 4870, 304, 14403, 1855, 1060, 11, 477, 922, 11157, 1077, 2547, 4785, 304, 921, 78716, 17604, 13, 578, 16228, 5788, 18824, 9124, 927, 220, 1272, 3115, 1077, 2547, 4785, 304, 832, 1060, 25, 220, 2491, 11, 5154, 29160, 13, 315, 14403, 8649, 220, 16, 11, 22926, 29160, 13, 315, 13128, 13, 3011, 374, 6273, 311, 220, 2031, 11, 23644, 4376, 2320, 396, 79049, 315, 14403, 11, 3403, 14403, 369, 459, 4553, 1060, 596, 94730, 304, 264, 2978, 315, 220, 3443, 4236, 627, 791, 3778, 16228, 356, 4730, 10229, 574, 17057, 304, 220, 9714, 23, 311, 7417, 323, 12192, 279, 28875, 315, 16228, 36952, 304, 279, 3723, 4273, 13, 1102, 374, 7559, 520, 220, 23802, 21, 6460, 4802, 6825, 304, 46172, 10481, 11, 14689, 220, 14245, 2614, 13, 1789, 810, 2038, 11, 18447, 311, 279, 16228, 10139, 477, 1515, 8800, 279, 34050, 5158, 596, 3997, 520, 8604, 68772, 45057, 8674, 916, 13, 16228, 28875, 388, 304, 701, 3158, 1253, 387, 1766, 555, 17136, 279, 16228, 18524, 8267, 323, 2052, 12278, 261, 8674, 12175, 56694, 527, 10212, 389, 279, 54691, 9663, 2199, 13, 128001, 128000, 12, 1102, 374, 539, 3284, 311, 15057, 445, 3233, 638, 10058, 1457, 11, 719, 1023, 52356, 10099, 617, 1027, 7946, 55219, 627, 12, 763, 279, 3938, 11, 78966, 323, 4726, 21630, 445, 3233, 638, 10058, 2643, 387, 3284, 11, 779, 14248, 527, 21760, 389, 47995, 813, 39881, 1457, 627, 12, 12371, 677, 4129, 3967, 439, 330, 69, 43340, 19263, 437, 1, 3412, 39881, 323, 1023, 8625, 315, 3738, 52356, 10099, 627, 791, 3293, 4648, 315, 445, 3233, 638, 10058, 11, 279, 61403, 10845, 391, 81707, 16831, 69289, 11846, 311, 387, 279, 1566, 18740, 315, 813, 5258, 89721, 11, 706, 1690, 11909, 20910, 1268, 584, 1288, 1456, 311, 3665, 1023, 52356, 323, 520, 46570, 10099, 627, 5176, 20324, 374, 832, 3072, 13, 6104, 78966, 5528, 369, 64873, 3742, 527, 539, 439, 11084, 439, 1884, 369, 56669, 11, 14248, 1101, 2019, 814, 3663, 1023, 15400, 32116, 627, 70478, 279, 1455, 11, 358, 1436, 48146, 832, 8762, 37189, 315, 420, 5258, 89721, 55219, 304, 3938, 477, 7344, 1403, 25000, 11, 719, 1405, 527, 499, 2133, 311, 636, 264, 8954, 7673, 4691, 51970, 63398, 11, 264, 10195, 28568, 449, 279, 15416, 392, 263, 22037, 10181, 11, 902, 706, 832, 315, 279, 1917, 596, 2478, 330, 69, 43340, 19263, 437, 10246, 92418, 45903, 437, 5708, 12470, 24156, 7384, 505, 264, 7029, 8205, 315, 9024, 323, 41440, 52356, 9606, 13, 578, 24156, 3769, 374, 6118, 24306, 315, 9192, 96281, 320, 82, 20508, 323, 19151, 7917, 705, 89873, 11, 20438, 10688, 11, 41529, 323, 1023, 3673, 13, 32255, 11, 814, 4097, 264, 6201, 35684, 315, 6348, 8319, 481, 19465, 2038, 430, 649, 387, 34683, 369, 11000, 11758, 315, 1667, 477, 810, 13, 763, 1455, 5157, 11, 279, 7384, 527, 9967, 304, 10168, 26951, 10409, 449, 14812, 47503, 627, 43819, 1553, 89123, 11, 7690, 315, 56104, 520, 279, 5960, 18842, 41960, 11, 12570, 311, 39193, 5513, 439, 813, 2128, 574, 22019, 311, 279, 10845, 391, 81707, 23028, 311, 1520, 21813, 279, 39881, 315, 445, 3233, 638, 10058, 13, 578, 5960, 18842, 41960, 27149, 832, 315, 279, 1023, 2478, 20268, 19263, 437, 627, 22244, 374, 459, 9193, 34771, 5030, 1359, 89123, 1071, 13, 330, 1687, 1047, 13205, 311, 3449, 304, 279, 10845, 391, 81707, 304, 1403, 5672, 311, 4358, 46643, 315, 279, 16831, 78, 5014, 1070, 13, 1102, 374, 264, 26242, 51705, 430, 445, 3233, 638, 10058, 8636, 1603, 584, 1436, 1524, 6381, 6376, 709, 279, 6787, 13, 1102, 72890, 279, 12939, 315, 47995, 1778, 10099, 10246, 10944, 527, 13176, 1063, 96968, 5435, 1457, 11, 719, 584, 1541, 956, 1390, 311, 1427, 1203, 449, 364, 12840, 422, 596, 49982, 568, 3779, 13, 330, 2028, 1253, 387, 279, 1193, 6140, 584, 3358, 617 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 311, 21813, 11, 2246, 323, 4007, 420, 16831, 69289, 5258, 89721, 10246, 49, 88, 1126, 13919, 20954, 315, 78966, 445, 3233, 638, 10058, 527, 42227, 520, 420, 1486, 13, 13538, 430, 5097, 2035, 11, 568, 15849, 810, 2011, 387, 9687, 922, 420, 4040, 16831, 69289, 596, 78152, 323, 39656, 13, 7814, 7169, 445, 3233, 638, 10058, 596, 8625, 1253, 1101, 1520, 311, 16805, 1268, 16831, 78, 5014, 3629, 3974, 311, 11084, 17051, 11, 2038, 430, 1436, 832, 1938, 3063, 311, 42445, 82, 304, 33459, 3823, 10345, 25632, 598, 627, 2520, 78966, 11, 12074, 527, 21760, 810, 389, 330, 43590, 1405, 584, 617, 11944, 6677, 315, 872, 42889, 34458, 1359, 89123, 1071, 13, 3011, 374, 832, 2944, 3249, 19987, 11, 12875, 323, 24548, 1051, 4315, 279, 1176, 10099, 311, 387, 55219, 13, 57116, 527, 1457, 3318, 311, 15057, 52356, 29658, 315, 1778, 10099, 11, 304, 16388, 315, 28965, 1884, 7931, 1139, 279, 8545, 311, 20259, 5933, 22673, 627, 34141, 420, 1060, 11, 63398, 323, 1077, 18105, 7946, 55219, 52356, 3776, 21117, 291, 19987, 13, 1556, 52356, 8545, 19488, 11, 2663, 264, 342, 4202, 11, 323, 264, 293, 519, 833, 320, 68974, 36952, 8, 617, 1101, 1027, 7946, 55219, 13, 5664, 374, 38199, 311, 15057, 323, 6062, 5376, 279, 7187, 315, 8279, 266, 6713, 22408, 15570, 11, 902, 50801, 1396, 1193, 922, 220, 1049, 12, 3101, 304, 279, 8545, 627, 8142, 832, 9498, 15057, 374, 459, 7185, 67409, 11, 67007, 2011, 1101, 387, 3025, 311, 23645, 304, 2015, 311, 387, 7373, 6992, 13, 63398, 1071, 430, 83190, 315, 55219, 8545, 8415, 6699, 617, 8636, 330, 24567, 311, 5435, 449, 11499, 2068, 287, 1359, 719, 1063, 4725, 83190, 617, 19543, 323, 3136, 311, 41972, 627, 21279, 1364, 323, 89123, 2019, 430, 1070, 374, 912, 6625, 4947, 8260, 369, 78966, 323, 46643, 315, 7701, 52356, 9606, 13, 12361, 11, 25181, 13077, 323, 279, 990, 315, 12514, 7931, 527, 8647, 369, 279, 48188, 627, 10227, 5149, 3966, 311, 387, 810, 24716, 323, 17057, 1359, 63398, 1071, 627, 24798, 4756, 16064, 323, 13739, 11, 89123, 323, 813, 18105, 617, 19352, 2663, 369, 459, 17057, 3728, 5149, 13, 1102, 1053, 1205, 459, 330, 2017, 83385, 6625, 2547, 1, 389, 1370, 449, 81876, 11, 568, 13919, 627, 10227, 1176, 3094, 374, 14324, 20438, 10688, 11, 439, 584, 2351, 304, 279, 1920, 315, 3815, 369, 445, 3233, 638, 10058, 1359, 568, 1071, 13, 330, 4071, 584, 889, 527, 4315, 279, 52301, 1053, 1093, 311, 5542, 3885, 311, 5813, 20268, 42014, 6160, 677, 4129, 304, 1023, 5961, 10246, 7189, 1097, 16913, 430, 832, 1938, 1778, 459, 6625, 6070, 690, 2586, 3871, 11, 12967, 304, 1023, 29711, 990, 11, 1778, 439, 47995, 39646, 1359, 89123, 20536, 13, 330, 2181, 596, 93447, 311, 9229, 264, 5258, 89721, 1093, 430, 315, 445, 3233, 638, 10058, 13, 9029, 304, 279, 3938, 690, 387, 3411, 1203, 520, 603, 11, 20910, 3249, 584, 3287, 956, 1180, 31373, 1210, 128001, 128000, 38, 34968, 12862, 220, 18, 35, 374, 2555, 2561, 389, 1120, 264, 23810, 315, 60866, 11, 902, 10299, 433, 1193, 1555, 17395, 12035, 11, 323, 520, 912, 2678, 2853, 627, 24205, 11, 279, 2515, 374, 5128, 11113, 323, 912, 810, 31800, 638, 369, 279, 6548, 1109, 29247, 35915, 13539, 5557, 11, 505, 1148, 584, 3077, 1027, 3025, 311, 9762, 627, 3947, 374, 832, 810, 61238, 430, 13312, 11909, 527, 3411, 369, 25, 72927, 79173, 12707, 11, 902, 6209, 264, 2204, 13356, 520, 279, 1957, 11, 11911, 389, 279, 9392, 505, 902, 832, 2824, 18938, 279, 6007, 627, 60210, 505, 279, 22108, 44798, 315, 12053, 320, 18836, 8, 3802, 311, 617, 3549, 2555, 315, 279, 3460, 627, 21634, 27127, 10848, 11, 433, 5829, 3892, 13931, 315, 14812, 26110, 19207, 320, 65103, 82, 8, 449, 264, 10625, 4478, 315, 220, 6843, 37192, 824, 2132, 627, 791, 15105, 374, 2204, 505, 279, 832, 1511, 304, 23643, 596, 220, 18, 6061, 198, 11, 902, 706, 1403, 13931, 315, 22745, 15670, 320, 1820, 5740, 369, 3177, 323, 6453, 21562, 323, 279, 1948, 369, 279, 1403, 10284, 4445, 5448, 4390, 791, 3575, 449, 420, 2362, 1749, 320, 64, 9478, 2362, 2216, 8, 374, 430, 279, 1193, 1648, 779, 3117, 3967, 369, 6968, 5361, 39555, 1053, 17631, 389, 17395, 12035, 323, 26249, 13, 73436, 315, 39555, 1053, 617, 311, 387, 9124, 304, 2015, 311, 7937, 264, 7366, 26792, 11, 323, 430, 3445, 430, 2288, 1790, 3630, 706, 311, 387, 12882, 520, 3131, 627, 11769, 4124, 315, 279, 39052, 12, 18, 35, 2835, 1053, 1205, 279, 4264, 311, 29447, 261, 220, 605, 3115, 11, 1855, 449, 264, 2204, 5497, 13, 14636, 11, 264, 40661, 39052, 12, 18, 35, 41919, 1053, 1205, 264, 220, 16, 11, 931, 37192, 10625, 4478, 627, 18836, 596, 27127, 10848, 73115, 430, 16686, 555, 1701, 264, 5190, 1396, 315, 22745, 82, 11, 8051, 433, 1587, 4546, 2500, 3575, 25, 279, 5497, 22702, 9221, 810, 6485, 13, 42536, 11, 279, 32185, 1047, 264, 17125, 8331, 311, 33294, 25, 539, 682, 13878, 315, 264, 6237, 2349, 449, 279, 20705, 9392, 13, 1115, 11293, 279, 3392, 315, 2038, 430, 4460, 311, 387, 3288, 311, 279, 22745, 15670, 627, 791, 842, 1121, 574, 264, 7090, 430, 19159, 39052, 12, 18, 35, 5448, 3196, 389, 29217, 4528, 311, 1884, 4920, 19084, 11, 1630, 30630, 323, 25157, 10390, 5814, 11, 315, 682, 2574, 320, 20670, 8356, 220, 18, 35, 5448, 315, 5419, 36853, 4390, 791, 7972, 11868, 12074, 690, 17074, 264, 27127, 10848, 25018, 520, 42660, 4539, 220, 679, 17, 320, 20, 12, 24, 6287, 705, 1903, 315, 2380, 22745, 21988, 13, 362, 2132, 1646, 690, 617, 1403, 22745, 82, 449, 264, 11071, 315, 36057, 1990, 1124, 320, 1116, 118843, 3177, 2163, 323, 1314, 705, 15871, 369, 22622, 20705, 27030, 320, 1135, 12628, 4856, 1109, 220, 508, 4390, 3617, 37119, 323, 8518, 8522, 1288, 5101, 5246, 11, 477, 520, 3325, 31373, 1109, 904, 27548, 627, 2118, 39, 1640, 1976, 88, 4375, 11, 433, 753, 6366, 11, 4400, 649, 5916, 1202, 4367, 13, 578, 3575, 11, 315, 3388, 11, 374, 430, 72927, 95801, 1541, 1431, 3351, 2476, 1071, 198, 92741, 27481, 35882, 1543, 11, 264, 1772, 5349, 520, 279, 7972, 11868, 627, 93673, 1304, 1124, 3351, 11, 499, 1205, 311, 1893, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 72927, 2453, 304, 1972, 892, 11, 323, 311, 656, 430, 11, 499, 1205, 2697, 13987, 16128, 11, 9333, 1109, 4205, 584, 649, 1977, 520, 3544, 8286, 520, 3428, 2853, 13, 2100, 279, 3488, 374, 11, 1148, 656, 584, 617, 1457, 30, 1226, 617, 22745, 82, 13, 2435, 527, 17235, 15196, 11, 323, 814, 527, 12136, 2029, 128001, 128000, 35, 4594, 15836, 11, 4448, 13, 220, 508, 320, 55, 21538, 4381, 8, 1198, 3161, 502, 5707, 323, 6962, 17089, 5108, 709, 323, 33268, 4907, 10648, 30240, 3728, 24151, 11, 279, 31376, 40373, 41947, 27945, 5415, 2643, 1629, 1139, 11413, 21160, 304, 279, 14827, 11026, 627, 791, 27945, 5415, 1093, 18387, 23931, 323, 57111, 527, 3432, 86506, 369, 5707, 11, 719, 430, 1436, 2349, 5246, 627, 11439, 311, 279, 7327, 12634, 16784, 320, 5484, 32, 705, 279, 27945, 54301, 315, 5707, 8312, 374, 57310, 555, 279, 3723, 4273, 902, 374, 389, 279, 1648, 311, 3719, 279, 7928, 5707, 58478, 6957, 279, 1917, 555, 220, 9639, 15, 627, 7979, 519, 547, 11, 40371, 323, 6921, 11, 1403, 2362, 5438, 12, 831, 288, 304, 279, 12877, 6460, 32654, 2103, 520, 4208, 11, 3940, 42200, 17693, 1022, 279, 38785, 13962, 304, 2778, 369, 5707, 323, 6962, 627, 644, 5369, 11, 279, 3728, 10205, 315, 13238, 2410, 11, 10160, 4907, 323, 17332, 12, 69218, 8798, 35938, 279, 31376, 40373, 6, 54301, 439, 279, 1193, 6220, 323, 15062, 2592, 315, 4907, 627, 1688, 279, 220, 21, 339, 4435, 12781, 12634, 35769, 320, 33231, 1600, 8, 430, 574, 5762, 389, 4448, 13, 220, 868, 12, 1114, 304, 31229, 73879, 11, 279, 13324, 1051, 3025, 311, 1518, 1268, 279, 1917, 1053, 734, 2085, 279, 1005, 315, 5707, 323, 6962, 477, 520, 3325, 449, 2753, 31376, 40373, 627, 791, 356, 349, 7063, 11, 264, 30221, 6108, 2883, 11, 10666, 279, 16537, 22374, 11, 264, 13238, 41503, 26038, 902, 1587, 539, 1205, 311, 387, 59329, 1606, 279, 13238, 7090, 374, 8521, 389, 279, 15485, 627, 26054, 11, 31229, 73879, 596, 12434, 3363, 20459, 35223, 11887, 264, 18178, 2447, 38178, 520, 4401, 9581, 55051, 951, 278, 2617, 11012, 449, 13238, 477, 10160, 2410, 555, 220, 2366, 15, 330, 258, 2015, 311, 8108, 279, 1633, 11646, 1005, 315, 5707, 323, 6962, 311, 1629, 1778, 11012, 1359, 1071, 2999, 13, 76086, 1708, 12278, 44239, 11, 279, 10388, 11145, 315, 20459, 35223, 627, 1688, 3118, 11, 4376, 315, 279, 1917, 596, 951, 278, 15846, 3090, 374, 9124, 304, 279, 27945, 10989, 5654, 627, 16397, 279, 30048, 11, 279, 31229, 73879, 29422, 28780, 9251, 10666, 1268, 584, 3974, 1828, 304, 279, 9589, 307, 3105, 37002, 11, 264, 4857, 19167, 1193, 449, 57340, 22658, 45218, 430, 9966, 459, 11297, 1005, 315, 3090, 323, 18200, 627, 39231, 596, 24589, 389, 10989, 5707, 12222, 220, 9639, 15, 1053, 617, 5655, 25127, 369, 549, 815, 13, 6411, 23963, 304, 279, 5654, 11, 1405, 1403, 94237, 315, 279, 1917, 596, 3967, 5707, 30600, 527, 7559, 11, 279, 6063, 7446, 8574, 46066, 5068, 304, 264, 6367, 4007, 902, 279, 6063, 11478, 2532, 426, 8225, 6004, 627, 791, 1934, 13240, 430, 1455, 315, 12877, 18516, 5707, 1053, 6530, 311, 6460, 13936, 627, 58276, 11, 279, 3723, 4273, 374, 11961, 389, 3544, 75105, 6962, 30600, 439, 264, 2592, 315, 5933, 6962, 13, 24586, 311, 75105, 6962, 54098, 11, 279, 1917, 596, 7928, 8752, 2643, 1101, 3719, 39293, 304, 17843, 1202, 1866, 5933, 6962, 627, 11458, 11, 279, 1749, 311, 2680, 75105, 6962, 1555, 330, 1658, 9162, 1, 374, 16917, 50365, 555, 12434, 1705, 889, 1518, 6908, 8137, 369, 7138, 422, 75105, 6962, 374, 28532, 505, 16700, 788, 13918, 627, 26054, 11, 40371, 11, 3967, 779, 3117, 439, 279, 1193, 10989, 3224, 2085, 264, 24521, 323, 2085, 5707, 11, 5762, 279, 3224, 596, 1176, 7327, 15895, 323, 21523, 35769, 304, 95411, 627, 791, 30048, 574, 5762, 1306, 459, 27501, 2883, 505, 32603, 1766, 6908, 6962, 30600, 24923, 279, 18516, 38785, 15379, 39500, 315, 40371, 11, 902, 1053, 617, 279, 4754, 315, 10671, 264, 2132, 57111, 3131, 433, 8638, 61321, 6962, 627, 2356, 6993, 263, 596, 18561, 9760, 6921, 8349, 5596, 315, 430, 2115, 3967, 439, 56141, 14308, 11, 46338, 220, 1114, 32610, 41999, 4579, 315, 5933, 6962, 627, 32, 35138, 6108, 46215, 11, 889, 11472, 49612, 11, 1071, 430, 279, 55026, 6962, 2115, 2643, 11203, 279, 16665, 369, 279, 1828, 12877, 6460, 4208, 627, 44, 371, 268, 89313, 5797, 11, 279, 4872, 369, 279, 27945, 5654, 520, 549, 815, 13, 4907, 14880, 77127, 44, 29029, 11, 1071, 520, 279, 4907, 30048, 304, 31229, 73879, 11, 902, 69566, 1105, 1063, 220, 22, 3346, 315, 279, 1917, 596, 3967, 5707, 30600, 11, 430, 279, 7631, 369, 5707, 323, 6962, 1053, 10205, 220, 1758, 3346, 3156, 220, 7854, 15, 11, 41369, 6147, 16388, 430, 33268, 4907, 1093, 10160, 2410, 11, 13238, 4907, 477, 29487, 9578, 12, 20559, 1053, 1514, 264, 5199, 3560, 304, 279, 3938, 627, 1, 78009, 323, 6962, 527, 15062, 11, 6220, 323, 15987, 369, 682, 11, 1418, 13238, 4907, 374, 539, 69311, 311, 27651, 279, 6908, 7631, 1359, 1071, 89313, 5797, 627, 11439, 311, 77127, 44, 29029, 596, 18057, 11, 1917, 7187, 690, 3139, 311, 220, 23, 13, 22, 7239, 304, 279, 1828, 220, 966, 1667, 11, 709, 505, 279, 1510, 220, 22, 7239, 627, 849, 62585, 26694, 321, 5131, 32714, 3871, 449, 31229, 73879, 5165, 15895, 8351, 39662, 14645, 304, 279, 31714, 68553, 372, 11, 279, 1917, 596, 7928, 39500, 5707, 2630, 627, 10944, 527, 58583, 287, 4363, 311, 1977, 3116, 21075, 30100, 304, 279, 31714, 68553, 372, 304, 2015, 311, 1977, 17789, 369, 12933, 323, 5687, 1359, 1071, 89313, 5797, 627, 1548, 10555, 430, 420, 574, 264, 5016, 3187, 1268, 5707, 27501, 649, 387, 2884, 304, 264, 2853, 73916, 1648, 13, 128001, 128000, 32, 1912, 315, 13639, 1051, 27989, 311, 198, 12529, 9257, 9256, 505, 279, 40395, 33929, 3997, 1795, 1129, 77, 14172, 22346, 82, 2726, 1139, 872, 198, 2407, 24011, 369, 682, 47474, 18, 323, 47474, 19, 4236, 13, 763, 420, 4652, 11, 279, 198, 82080, 4430, 279, 4819, 814, 4460, 311, 2980, 323, 1148, 814, 527, 198, 45359, 311, 2686, 1124, 627, 791, 51483, 82, 369, 2349, 1051, 1057, 12876, 311, 512, 9673, 4442, 3952, 1063 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 315, 603, 11, 323, 1057, 18105, 11, 704, 315, 1057, 198, 19975, 10353, 439, 584, 30464, 279, 1648, 304, 902, 584, 6575, 304, 1057, 198, 1058, 9949, 323, 6818, 704, 2204, 13073, 369, 13520, 323, 1057, 198, 1687, 4460, 311, 1935, 1139, 2759, 279, 2204, 3966, 315, 3927, 198, 82080, 304, 1057, 8853, 323, 872, 4236, 439, 814, 6137, 311, 1005, 198, 644, 2015, 311, 7417, 86589, 13639, 6, 323, 4236, 6, 18000, 311, 198, 1816, 389, 279, 9257, 9256, 11, 433, 574, 5995, 311, 1935, 2759, 315, 11, 323, 198, 3990, 5627, 315, 12899, 512, 791, 11774, 6532, 304, 6975, 38696, 1555, 9257, 198, 791, 1005, 315, 264, 2134, 315, 18228, 14726, 198, 791, 1005, 315, 7524, 34685, 311, 12192, 7422, 198, 644, 1148, 11263, 11, 584, 617, 11054, 1063, 5435, 505, 279, 40395, 33929, 198, 20050, 11, 15499, 10815, 311, 279, 30676, 11, 902, 527, 10728, 369, 1005, 198, 1729, 8853, 46227, 311, 19678, 9257, 9256, 627, 791, 9395, 374, 311, 387, 3025, 311, 7168, 279, 3158, 315, 904, 87017, 198, 3923, 5789, 527, 3284, 5380, 3923, 5789, 527, 12266, 5380, 3957, 1070, 264, 3717, 1990, 279, 330, 1678, 83, 1, 323, 279, 3158, 315, 264, 198, 3923, 24654, 11, 11555, 323, 31342, 649, 499, 3085, 5380, 791, 40395, 33929, 3997, 6209, 47802, 6, 18559, 311, 1690, 5435, 13, 4314, 198, 1012, 18726, 369, 1268, 279, 5435, 2643, 387, 1511, 304, 279, 198, 87084, 398, 11, 19678, 279, 4676, 449, 459, 21416, 198, 5902, 2541, 320, 40, 53968, 705, 477, 13633, 47287, 389, 279, 4580, 13, 21069, 4236, 311, 198, 1816, 304, 13840, 311, 1505, 832, 477, 810, 5627, 311, 11294, 279, 4839, 3158, 198, 1073, 279, 9518, 12882, 389, 279, 4580, 627, 4213, 23771, 18726, 11, 449, 4236, 5108, 311, 279, 4580, 311, 198, 67, 7439, 71015, 872, 5528, 11, 3156, 279, 1912, 2873, 16913, 449, 2225, 198, 26522, 8467, 602, 1770, 13, 364, 90274, 304, 6, 323, 834, 2879, 13, 5112, 17477, 279, 4860, 198, 36227, 1124, 4330, 4520, 311, 990, 389, 872, 1866, 18480, 13840, 311, 1781, 198, 9274, 11, 323, 1304, 1063, 10015, 8554, 389, 1268, 814, 690, 1212, 3318, 389, 198, 1820, 3575, 323, 3249, 814, 1781, 1778, 459, 5603, 1053, 387, 198, 12388, 6848, 922, 15174, 439, 264, 4459, 1912, 13, 2435, 690, 1205, 311, 198, 3990, 5627, 315, 15061, 279, 3575, 1523, 3318, 60826, 323, 198, 33494, 3839, 315, 872, 828, 13, 1102, 1253, 387, 5505, 311, 3009, 279, 1912, 323, 198, 19930, 330, 19045, 6848, 1, 439, 990, 68711, 13, 578, 9395, 374, 311, 1812, 6629, 279, 198, 35686, 555, 26921, 37538, 20414, 627, 2170, 87015, 1439, 34044, 2610, 53243, 311, 3350, 1124, 389, 264, 23163, 52357, 198, 2541, 323, 6106, 814, 617, 40661, 6105, 477, 78259, 311, 1450, 198, 9210, 649, 9541, 1124, 13, 10984, 61140, 4236, 311, 1505, 2867, 64694, 198, 85, 44627, 311, 3237, 872, 5718, 11, 323, 311, 3237, 1268, 3738, 814, 198, 548, 922, 1124, 320, 68, 1326, 13, 35977, 5497, 84007, 505, 198, 25017, 3116, 24871, 4459, 5219, 11, 369, 3187, 11, 220, 19, 1174, 220, 20, 1174, 220, 21, 198, 96255, 279, 1176, 323, 1566, 5219, 3871, 627, 96255, 279, 6278, 6857, 3871, 627, 25017, 2204, 7437, 315, 3116, 24871, 4459, 5219, 323, 656, 198, 3923, 656, 499, 5406, 5380, 25017, 4330, 24871, 4459, 5219, 11, 369, 3187, 11, 220, 18, 1174, 220, 19, 1174, 220, 20, 13801, 21, 323, 220, 22, 627, 96255, 279, 2132, 323, 11999, 5219, 3871, 627, 25017, 2204, 7437, 315, 4330, 24871, 4459, 5219, 323, 656, 198, 3923, 656, 499, 5406, 1457, 5380, 3923, 8741, 994, 499, 1935, 220, 21, 11, 220, 22, 11, 220, 23, 2965, 30, 65721, 308, 24871, 198, 67733, 5219, 323, 9616, 279, 2027, 315, 279, 1176, 323, 1566, 5219, 198, 4291, 279, 2027, 315, 279, 2132, 323, 5869, 67666, 5219, 5380, 849, 21435, 701, 14955, 627, 69320, 430, 279, 1912, 8964, 279, 7438, 315, 364, 444, 86880, 6, 18722, 444, 86880, 2919, 11, 24871, 12197, 304, 279, 28890, 9522, 25017, 3116, 24871, 5219, 323, 3371, 701, 4236, 430, 499, 198, 14724, 31370, 279, 16335, 6305, 323, 279, 9358, 6305, 13, 21069, 4236, 311, 198, 30345, 872, 1866, 7437, 315, 3116, 24871, 5219, 323, 656, 279, 1890, 627, 6607, 682, 279, 3135, 389, 279, 4580, 13, 3639, 656, 814, 5406, 5380, 10149, 420, 2744, 3621, 30, 7570, 449, 24871, 8389, 198, 4438, 1436, 584, 10552, 433, 30, 10984, 61140, 47976, 292, 323, 53584, 198, 43182, 315, 1148, 690, 1833, 690, 6904, 389, 279, 802, 411, 4150, 950, 323, 198, 278, 27175, 292, 12410, 315, 279, 1912, 13, 5560, 279, 9070, 323, 1862, 198, 14786, 3770, 311, 13519, 279, 1888, 1648, 311, 1005, 420, 5211, 7953, 198, 1820, 4860, 304, 279, 3575, 627, 2028, 3575, 1193, 24026, 389, 279, 842, 5219, 323, 279, 364, 408, 719, 198, 606, 6, 5219, 13, 16910, 499, 1304, 264, 810, 4689, 5224, 323, 9541, 198, 2746, 499, 617, 459, 10535, 1396, 315, 24871, 5219, 11, 1148, 596, 279, 198, 60351, 1990, 279, 2027, 315, 279, 842, 5219, 323, 279, 9518, 315, 198, 1820, 6278, 1396, 5380, 2028, 3575, 1436, 1101, 387, 25735, 32227, 8015, 2740, 11, 439, 459, 198, 64562, 304, 11469, 20236, 2301, 449, 47544, 12920, 1418, 198, 20986, 369, 5497, 323, 6070, 627, 32, 47544, 5950, 1436, 387, 1511, 369, 14975, 3135, 11, 449, 198, 1820, 6857, 3956, 27463, 4184, 311, 1268, 1690, 24871, 198, 38478, 1051, 1694, 1511, 627, 9789, 8082, 1555, 10215, 315, 32094, 477, 23596, 5789, 1253, 1520, 198, 38318, 10552, 3249, 872, 5497, 2011, 990, 304, 1475, 1162, 627, 52157, 499, 617, 264, 3544, 8312, 315, 220, 18, 7501, 323, 220, 23, 7501, 14661, 627, 28070, 220, 18, 7501, 14661, 323, 832, 220, 23, 7501, 4785, 617, 459, 5578, 4785, 315, 198, 4438, 1690, 315, 1855, 4785, 1053, 499, 1205, 369, 279, 5578, 320, 14622, 8, 315, 198, 1820, 14661, 311, 387, 220, 21, 7501, 5380, 2746, 499, 1047, 1023, 28559, 315, 279, 220, 18, 7501, 323, 220, 23, 7501, 14661, 11, 1148, 198, 1605, 4459, 1396, 49920, 1436, 499, 1304, 5380, 3923, 596, 279, 25655, 5380, 3923, 596, 279, 7928, 5380, 6854, 499, 1304, 682, 279, 4459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1396, 2819, 304, 1990, 5380, 3923, 422, 499, 617, 264, 2204, 6857, 315, 14661, 320, 2000, 3187, 220, 17, 7501, 198, 3923, 49920, 649, 499, 1457, 1304, 5380, 22170, 1023, 2204, 13840, 315, 14661, 627, 5519, 499, 5406, 4205, 922, 701, 3135, 5380, 5519, 814, 617, 4205, 304, 4279, 5380, 6854, 499, 1005, 1148, 499, 5406, 311, 1505, 11, 369, 3187, 11, 279, 198, 76128, 315, 220, 1114, 7501, 323, 220, 3226, 7501, 14661, 430, 617, 459, 5578, 315, 198, 2096, 7501, 29249, 1073, 220, 4103, 7501, 49711, 1073, 220, 1691, 7501, 18575, 5380, 849, 21435, 459, 11297, 1648, 315, 3815, 420, 627, 6854, 499, 10552, 3249, 701, 1749, 4375, 5380, 22818, 279, 4113, 220, 18, 7501, 323, 220, 23, 7501, 14661, 11, 649, 499, 1505, 198, 884, 74729, 430, 8356, 49920, 315, 220, 19, 13, 20, 7501, 2564, 315, 220, 22, 13, 20, 7501, 2564, 315, 198, 19, 13, 17, 7501, 2564, 1073, 220, 21, 13, 24, 7501, 2564, 30, 1221, 15090, 6261, 430, 682, 49920, 1990, 198, 18, 7501, 323, 220, 23, 7501, 527, 3284, 627, 3923, 49920, 527, 3284, 422, 499, 527, 5535, 264, 8389, 1396, 198, 1073, 220, 18, 7501, 323, 220, 23, 7501, 14661, 5380, 2675, 1253, 15453, 6562, 311, 9067, 279, 14661, 1511, 311, 1884, 198, 8370, 617, 264, 6811, 315, 220, 17, 7501, 11, 1243, 220, 18, 7501, 11, 1243, 220, 19, 7501, 11, 5099, 13, 304, 2015, 198, 998, 1646, 3318, 60826, 11, 323, 311, 1304, 279, 5497, 315, 3135, 198, 8538, 4236, 1253, 1505, 2814, 321, 771, 55204, 5505, 311, 1862, 872, 198, 8586, 527, 1403, 10507, 315, 4236, 990, 389, 80993, 369, 198, 2028, 374, 264, 1847, 369, 1403, 4311, 627, 2675, 690, 1205, 264, 220, 1041, 9518, 902, 499, 649, 4232, 477, 499, 649, 1005, 198, 791, 1176, 2851, 41011, 264, 6928, 1524, 1396, 430, 374, 2753, 198, 54895, 220, 1135, 11, 323, 50535, 433, 704, 389, 279, 5950, 627, 791, 2132, 2851, 41011, 264, 1396, 311, 5425, 704, 13, 578, 1396, 2011, 198, 1395, 264, 8331, 477, 5361, 315, 279, 1176, 1396, 627, 25242, 3136, 311, 1935, 433, 304, 10800, 311, 5425, 704, 5219, 11, 520, 198, 9739, 6566, 19301, 264, 1396, 430, 374, 264, 8331, 477, 5361, 315, 279, 198, 4174, 1120, 28129, 704, 555, 279, 1023, 2851, 627, 791, 1176, 1732, 889, 374, 12153, 311, 5425, 704, 264, 1396, 33291, 627, 17259, 279, 8815, 505, 11230, 279, 1847, 311, 18702, 439, 1690, 198, 38478, 439, 3284, 13, 393, 455, 8839, 649, 1578, 990, 304, 13840, 4560, 311, 1505, 198, 1820, 22807, 8668, 315, 5219, 430, 649, 387, 28129, 704, 13, 3053, 810, 198, 54895, 4376, 279, 5219, 387, 28129, 704, 5380, 2028, 8815, 1436, 1629, 369, 459, 11838, 4261, 25, 279, 22807, 198, 15880, 649, 387, 12882, 389, 264, 5406, 2541, 323, 45172, 649, 387, 198, 331, 34869, 291, 311, 7417, 389, 433, 26, 904, 13241, 24630, 649, 387, 3779, 311, 198, 27264, 45172, 311, 10552, 3249, 872, 5873, 315, 5219, 374, 1695, 627, 32, 18768, 12, 23108, 80930, 43313, 706, 1403, 6012, 512, 6854, 499, 1505, 682, 279, 18768, 12, 23108, 80930, 616, 811, 5380, 6854, 499, 1501, 430, 499, 617, 1766, 1124, 682, 5380, 1271, 1520, 499, 994, 499, 527, 3318, 3201, 505, 279, 6500, 345, 36773, 11236, 315, 279, 2204, 69259, 527, 2561, 311, 1194, 198, 438, 4018, 704, 627, 27264, 4236, 311, 4284, 21483, 430, 1436, 5052, 4883, 264, 1486, 627, 2323, 704, 872, 18726, 627, 6607, 1148, 4375, 323, 1148, 3250, 956, 627, 68, 1326, 13, 220, 16, 20801, 6241, 11, 220, 17, 32440, 323, 220, 16, 22217, 1541, 956, 5052, 4883, 264, 198, 10445, 656, 1063, 5052, 323, 1063, 1541, 956, 30, 16910, 499, 3371, 304, 12178, 345, 30096, 1701, 279, 958, 7323, 5380, 36, 6154, 505, 4236, 279, 4623, 430, 279, 15135, 27030, 315, 198, 23108, 69259, 527, 264, 16996, 8331, 304, 26679, 3508, 279, 198, 23108, 69259, 690, 5052, 3871, 477, 539, 627, 10438, 7366, 389, 311, 279, 19002, 2610, 4236, 311, 990, 389, 5684, 198, 68287, 28559, 315, 5912, 69259, 430, 690, 5052, 4883, 264, 198, 2837, 13, 1115, 1253, 15253, 4236, 311, 990, 60826, 994, 198, 985, 279, 958, 7323, 3984, 13, 16607, 527, 3984, 520, 279, 842, 198, 1073, 279, 3575, 311, 1862, 4236, 3318, 3201, 505, 279, 198, 63178, 4236, 311, 1505, 682, 279, 3284, 18768, 12, 23108, 198, 83, 434, 616, 811, 323, 311, 3493, 40661, 6029, 430, 814, 617, 2751, 198, 1820, 4686, 743, 627, 4959, 2978, 6575, 304, 2204, 5627, 13, 5810, 527, 10507, 315, 1148, 198, 15031, 315, 279, 8853, 1550, 512, 2028, 374, 1148, 279, 8853, 1071, 922, 1268, 872, 6725, 706, 198, 2028, 4652, 374, 279, 1121, 315, 279, 40806, 990, 315, 512, 78524, 20991, 386, 7616, 83, 11, 14129, 468, 1466, 11, 4488, 37851, 288, 323, 18105, 505, 198, 1110, 9339, 263, 25036, 9304, 198, 76109, 2563, 258, 1030, 11, 40203, 473, 33903, 323, 18105, 505, 480, 481, 11166, 6150, 198, 41, 18314, 63539, 11, 47685, 23809, 323, 18105, 505, 5843, 82, 2914, 12332, 198, 87376, 70317, 11, 64489, 426, 4542, 11, 55357, 483, 82747, 323, 18105, 505, 198, 791, 16842, 6150, 198, 98110, 98567, 11, 11641, 800, 402, 583, 323, 18105, 505, 38107, 7876, 25036, 198, 34, 28107, 3341, 265, 323, 31925, 32580, 323, 18105, 505, 1443, 1923, 43366, 198, 23083, 45805, 11, 11517, 70687, 323, 23880, 63606, 268, 28607, 11529, 3935, 323, 198, 2119, 273, 13796, 505, 578, 11355, 1611, 23184, 16192, 627, 73728, 480, 699, 73420, 11, 67463, 735, 3390, 323, 30750, 393, 20831, 1751, 505, 279, 198, 27416, 33929, 5907, 11, 24562, 128001, 128000, 18544, 13, 220, 1032, 11, 220, 679, 15, 1198, 578, 887, 34695, 1054, 64, 5679, 753, 2324, 863, 13533, 430, 83810, 8696, 617, 433, 1903, 994, 433, 4131, 311, 23871, 11, 719, 502, 3495, 15151, 430, 279, 14604, 5415, 315, 12875, 649, 387, 439, 28830, 439, 279, 296, 9242, 315, 872, 7980, 627, 35, 27403, 649, 1518, 872, 3691, 61080, 439, 4376, 4384, 4856, 1109, 4376, 2539, 11, 1120, 439, 3823, 73623, 1705, 1518, 264, 9168, 315, 3090, 439, 4376, 4384, 4619, 315, 4376, 2539, 627, 52961, 12074, 889, 12793, 25768, 25481, 315, 12875 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2019, 814, 1766, 430, 1063, 12875, 527, 810, 4461, 1109, 3885, 311, 3719, 42642, 323, 38100, 994, 2163, 7636, 11, 14718, 1124, 311, 54842, 11, 19307, 520, 14365, 11, 37433, 389, 14891, 11, 323, 8965, 5906, 1395, 19553, 627, 1966, 279, 1023, 1450, 11, 37036, 12875, 527, 810, 4461, 311, 36792, 2731, 323, 3719, 810, 31467, 994, 2163, 7636, 627, 35541, 386, 5449, 11, 30661, 11, 2010, 315, 10065, 23460, 323, 36695, 3495, 520, 279, 3907, 315, 45039, 11, 323, 18105, 11, 20041, 220, 1187, 12875, 11, 25000, 323, 28585, 11, 430, 1047, 1027, 3288, 311, 1403, 10065, 19169, 627, 4959, 5679, 574, 12793, 52159, 369, 25768, 18547, 14228, 28198, 13, 362, 32185, 6476, 449, 1855, 5679, 304, 459, 25181, 3130, 369, 220, 508, 4520, 627, 791, 1828, 1938, 279, 12875, 1051, 4529, 1203, 311, 872, 12295, 323, 2163, 7636, 369, 4330, 4520, 1418, 2835, 18632, 12715, 872, 7865, 627, 8538, 315, 279, 12875, 293, 43161, 11, 27096, 389, 14891, 11, 323, 83933, 520, 279, 6134, 11, 719, 279, 1054, 19680, 4633, 863, 6305, 1550, 539, 1198, 477, 3287, 1431, 656, 433, 439, 1790, 627, 1271, 4007, 37036, 477, 73623, 4633, 61555, 11, 279, 12875, 1051, 16572, 779, 430, 994, 264, 19763, 574, 9277, 520, 832, 3813, 304, 264, 3130, 11, 433, 13282, 3691, 11, 719, 994, 2231, 15038, 775, 11, 433, 3287, 1431, 13, 5112, 279, 61080, 1051, 9277, 520, 55861, 10687, 1990, 279, 6928, 323, 8389, 10093, 627, 2118, 35, 27403, 430, 10837, 5043, 311, 1521, 55861, 10687, 439, 422, 23132, 279, 6928, 3691, 11565, 1051, 538, 291, 439, 3339, 12309, 3451, 19680, 4633, 529, 11429, 2476, 386, 5449, 2795, 304, 264, 3754, 4984, 13, 330, 82990, 11, 1521, 12875, 49890, 311, 387, 279, 6305, 889, 1101, 8710, 3325, 18547, 12970, 7865, 994, 2163, 7636, 369, 264, 2875, 892, 49216, 1548, 2795, 922, 4376, 315, 12875, 1253, 520, 1063, 1486, 16988, 304, 28198, 5552, 311, 25768, 18547, 11, 1778, 439, 293, 34552, 11, 73019, 11, 477, 56836, 2574, 709, 994, 19180, 505, 7980, 627, 66625, 4007, 13533, 430, 12875, 9204, 1521, 4595, 315, 7865, 1101, 5101, 311, 1304, 810, 73623, 4633, 59358, 8965, 2476, 568, 2795, 627, 15085, 682, 617, 264, 31954, 311, 1781, 430, 1057, 26159, 323, 1023, 10099, 3217, 21958, 4528, 311, 1057, 1866, 11, 719, 584, 617, 912, 1648, 315, 14392, 6089, 1606, 21958, 527, 16168, 879, 2476, 568, 2795, 13, 1054, 11458, 11, 584, 649, 1005, 14955, 505, 3823, 31018, 3495, 311, 2274, 502, 5627, 315, 30090, 10065, 20356, 49216, 2181, 753, 3967, 430, 279, 14604, 5415, 315, 1274, 7958, 872, 59358, 11, 323, 430, 6380, 1274, 527, 810, 4461, 311, 11913, 459, 55861, 6671, 304, 264, 6928, 1648, 13, 1628, 433, 753, 14132, 279, 1890, 449, 12875, 627, 44130, 1057, 4007, 706, 6982, 374, 430, 420, 17208, 30293, 311, 12875, 1198, 430, 264, 3451, 59536, 34902, 24563, 529, 5679, 374, 2753, 4461, 311, 387, 38100, 994, 2163, 7636, 1109, 832, 449, 264, 810, 73623, 4633, 7138, 2476, 386, 5449, 2795, 13, 128001, 128000, 64469, 55143, 1603, 220, 7028, 15, 11, 11605, 11348, 198, 20147, 5657, 11, 7295, 41581, 304, 7295, 11, 9635, 11, 4606, 198, 9674, 15, 477, 220, 9674, 16, 198, 65217, 799, 3206, 295, 11, 8753, 11, 220, 10336, 15, 482, 220, 5926, 21, 198, 78009, 389, 10247, 198, 54, 5926, 16, 12, 16, 12, 22, 47, 73350, 449, 279, 468, 13, 393, 13, 10785, 267, 613, 13492, 11, 220, 5926, 16, 198, 2535, 644, 279, 42774, 315, 220, 9674, 15, 11, 304, 279, 35446, 315, 279, 44943, 12, 3617, 15950, 5111, 11, 3206, 295, 323, 813, 7555, 2163, 9822, 369, 61087, 304, 7295, 11, 1405, 814, 14958, 3156, 5651, 220, 9674, 16, 13, 2684, 279, 10255, 24937, 420, 92778, 315, 264, 6246, 304, 279, 4851, 315, 279, 3363, 13, 763, 3010, 1667, 3206, 295, 1053, 471, 311, 7295, 11, 19354, 12387, 6325, 315, 3363, 42266, 11, 2737, 279, 58759, 315, 20302, 627, 27414, 28783, 510, 94068, 13553, 6246, 510, 87, 60, 21455, 380, 510, 87, 60, 18921, 220, 777, 66, 510, 87, 60, 63146, 510, 87, 60, 58191, 510, 87, 60, 510, 2261, 4718, 21189, 28783, 933, 9, 21785, 304, 279, 4526, 527, 7882, 1022, 1684, 369, 1690, 2204, 8125, 13, 10541, 18537, 10687, 389, 279, 3997, 527, 6177, 15870, 11, 1070, 374, 912, 15803, 430, 420, 1665, 690, 387, 389, 3113, 389, 279, 1938, 315, 701, 4034, 13, 128001, 128000, 64469, 28069, 1413, 17979, 323, 83797, 554, 198, 52336, 1601, 449, 35257, 505, 279, 65555, 315, 14539, 12, 10172, 285, 25520, 12, 5564, 33903, 41581, 304, 29622, 784, 43588, 11, 9822, 11, 4606, 198, 6804, 15, 12, 1490, 82, 11, 449, 42108, 5540, 505, 99911, 9822, 323, 6617, 38314, 198, 41409, 3262, 4506, 9987, 11, 8753, 198, 5926, 23, 12, 3226, 12, 16, 65, 47, 73350, 449, 10736, 20162, 555, 21393, 48069, 85696, 304, 5044, 315, 42368, 616, 37514, 85696, 11, 220, 5926, 23, 198, 2535, 1688, 279, 4851, 315, 1475, 42108, 85861, 14980, 264, 5405, 1601, 11, 459, 15952, 14589, 4321, 3195, 14932, 264, 66385, 13, 578, 16730, 753, 5405, 1601, 374, 62653, 1306, 264, 270, 404, 46487, 34457, 3187, 520, 279, 65555, 315, 14539, 12, 10172, 285, 25520, 12, 5564, 33903, 304, 279, 29622, 784, 43588, 5654, 315, 99911, 9822, 11, 323, 5764, 51067, 13517, 505, 279, 30195, 1216, 11, 19225, 5540, 505, 279, 17271, 11, 323, 4216, 98662, 52231, 34457, 39656, 1841, 85, 826, 13, 78248, 5405, 9487, 10434, 2225, 15325, 323, 18330, 10096, 13, 7648, 1051, 1825, 3805, 11, 3629, 449, 264, 13863, 304, 279, 66385, 13, 362, 43641, 34457, 43563, 13633, 3967, 439, 279, 9878, 315, 14539, 25919, 11, 902, 374, 6646, 264, 54029, 315, 279, 10728, 1647, 5174, 24549, 11, 4519, 264, 3544, 11, 85413, 7559, 5405, 1601, 430, 1053, 617, 1027, 4694, 369, 279, 66477, 13, 2468, 14539, 12, 10172, 285, 25520, 12, 5564, 33903, 11, 279, 16335, 4321, 3195, 5762, 14365, 430, 9107, 1139, 279, 18397, 14321, 11, 279, 12735, 3838, 320, 2940, 279, 30195, 1216, 574, 38018, 705, 323, 279, 8993, 13, 763, 5369, 311, 31301, 439, 264, 21583, 3634, 11, 279, 66385, 323, 1202, 15235, 77, 1037, 1051, 1511, 555, 279, 10597, 4029, 369 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1920, 919, 11, 3600, 11, 323, 57937, 40174, 13, 578, 5405, 1601, 1101, 3984, 459, 3158, 1405, 3927, 66477, 1436, 16988, 304, 879, 23788, 323, 39471, 367, 627, 27414, 28783, 510, 94068, 68, 74387, 1989, 220, 5120, 15, 12, 3965, 15, 510, 87, 60, 4261, 3130, 510, 87, 60, 357, 37564, 285, 25520, 31771, 33903, 510, 87, 60, 357, 1474, 91340, 6953, 1824, 2249, 64, 510, 87, 60, 510, 2261, 4718, 21189, 28783, 933, 9, 21785, 304, 279, 4526, 527, 7882, 1022, 1684, 369, 1690, 2204, 8125, 13, 10541, 18537, 10687, 389, 279, 3997, 527, 6177, 15870, 11, 1070, 374, 912, 15803, 430, 420, 1665, 690, 387, 389, 3113, 389, 279, 1938, 315, 701, 4034, 13, 128001, 128000, 11916, 22761, 41163, 374, 4613, 439, 264, 8850, 315, 36394, 13, 27140, 264, 3230, 1343, 41163, 1093, 34548, 55608, 1198, 8850, 315, 16706, 1198, 323, 1023, 3230, 1343, 677, 3557, 11, 1645, 22761, 41163, 649, 5353, 264, 1732, 311, 8850, 264, 8205, 315, 2574, 5552, 311, 1694, 3117, 505, 279, 5015, 13, 40730, 389, 279, 1343, 41163, 596, 31020, 11, 459, 1645, 22761, 31906, 1732, 1253, 18813, 8850, 1694, 389, 264, 1579, 6558, 315, 264, 4857, 477, 5042, 30608, 264, 36865, 627, 11916, 22761, 41163, 323, 25368, 32934, 198, 2575, 5309, 7992, 374, 264, 6593, 3044, 430, 11384, 264, 37392, 315, 38960, 323, 294, 97745, 13, 7695, 398, 983, 55608, 374, 264, 1343, 41163, 304, 902, 279, 8850, 315, 11469, 5309, 7992, 649, 3604, 3063, 311, 5309, 7992, 12970, 13803, 13, 6515, 22761, 41163, 649, 49853, 4528, 16024, 11, 719, 279, 2380, 4787, 527, 539, 279, 1890, 13, 3580, 264, 10896, 369, 7177, 422, 499, 3217, 5309, 7992, 13803, 13, 13235, 7177, 1253, 2997, 6680, 1816, 11, 19084, 43739, 323, 29433, 3957, 11, 902, 649, 6037, 704, 264, 8205, 315, 64908, 4787, 627, 33, 589, 76, 55608, 11, 477, 279, 8850, 315, 60108, 323, 32249, 11, 374, 7170, 5552, 311, 1645, 22761, 41163, 13, 763, 9061, 76, 55608, 11, 499, 1253, 22743, 994, 20705, 264, 32366, 31332, 11, 1524, 422, 499, 617, 912, 1205, 311, 26438, 279, 31332, 13, 10541, 1690, 1274, 449, 9061, 76, 55608, 617, 1645, 22761, 41163, 11, 1455, 1645, 22761, 41163, 96460, 656, 539, 1101, 3217, 9061, 76, 55608, 627, 34, 4763, 582, 55608, 374, 5552, 311, 9061, 76, 55608, 11, 3734, 430, 279, 8850, 8965, 13980, 1193, 994, 79342, 3339, 264, 26438, 13, 1442, 499, 7831, 505, 11323, 582, 55608, 11, 499, 527, 4762, 539, 16984, 311, 1518, 264, 32366, 743, 315, 32249, 439, 1317, 439, 499, 649, 7293, 21676, 520, 279, 5740, 13, 4452, 11, 11323, 582, 55608, 1253, 12446, 304, 67042, 449, 1645, 22761, 41163, 627, 32, 261, 55608, 374, 279, 3230, 8850, 315, 16706, 13, 40730, 389, 279, 31020, 315, 701, 8850, 11, 499, 1253, 387, 16984, 315, 46163, 323, 76481, 11, 477, 1253, 1193, 2733, 279, 8850, 994, 304, 279, 3805, 13, 64150, 55608, 1253, 23781, 12446, 16662, 1645, 22761, 41163, 627, 29012, 52273, 315, 6515, 22761, 41163, 198, 2746, 499, 3217, 1645, 22761, 41163, 11, 499, 1253, 2646, 3217, 5309, 7992, 13803, 13, 12361, 11, 499, 1253, 2733, 264, 5647, 315, 22743, 994, 520, 2673, 13, 1472, 1253, 31655, 3210, 3240, 311, 2778, 369, 2555, 311, 78264, 311, 13, 1472, 1253, 1505, 430, 499, 527, 12153, 311, 7095, 701, 1866, 5647, 315, 8335, 13, 7874, 25481, 2997, 44184, 7214, 11, 72179, 389, 682, 90720, 323, 100115, 477, 6062, 46301, 279, 2547, 627, 2321, 6082, 750, 323, 22655, 11, 279, 2077, 311, 1645, 22761, 41163, 374, 4528, 311, 279, 2077, 311, 904, 1023, 1343, 41163, 13, 1472, 1253, 3240, 311, 27116, 11, 28566, 11, 3217, 4851, 75649, 31767, 323, 1524, 16106, 477, 65413, 704, 13, 1472, 1253, 2733, 53731, 323, 88968, 13, 1102, 2643, 3719, 5107, 311, 1781, 627, 2746, 499, 617, 1645, 22761, 41163, 11, 433, 374, 4461, 430, 499, 690, 3240, 311, 36075, 15082, 430, 1253, 5353, 499, 311, 8493, 892, 520, 2673, 13, 1789, 3187, 11, 499, 1253, 11196, 430, 459, 14827, 20769, 690, 2231, 499, 1139, 264, 9689, 3130, 389, 264, 1579, 6558, 13, 1472, 1253, 2231, 1022, 2162, 31286, 369, 8850, 315, 1701, 264, 36865, 13, 1472, 2643, 5766, 17136, 4885, 6, 10632, 422, 814, 617, 38405, 552, 477, 50007, 6945, 11276, 627, 98315, 315, 6515, 22761, 41163, 198, 791, 8706, 8137, 430, 1455, 1343, 677, 3557, 3118, 374, 279, 5326, 315, 33994, 832, 596, 2324, 323, 7640, 311, 5766, 279, 38569, 6671, 13, 6515, 22761, 41163, 374, 19018, 11, 4869, 11, 304, 430, 3515, 264, 22743, 3440, 1418, 1579, 304, 279, 3805, 1436, 3604, 3063, 311, 279, 35706, 8137, 627, 791, 6671, 1253, 387, 6220, 439, 1317, 439, 4725, 61003, 527, 4529, 11, 719, 7363, 16671, 1436, 3063, 499, 311, 1304, 20451, 11031, 13, 15636, 11, 433, 374, 9193, 3062, 430, 1645, 22761, 41163, 387, 46029, 12020, 439, 6288, 439, 3284, 11, 8104, 422, 36394, 527, 264, 5912, 961, 315, 701, 2324, 627, 23389, 4881, 315, 6515, 22761, 41163, 198, 28528, 5039, 430, 264, 3738, 3392, 315, 84050, 2212, 36394, 374, 4725, 11, 539, 1193, 369, 12966, 719, 369, 682, 9302, 10099, 13, 763, 220, 5162, 15, 11, 61403, 3495, 74191, 44522, 323, 12839, 1550, 264, 330, 9789, 48952, 1, 9526, 902, 8710, 72179, 42534, 11, 3235, 449, 24869, 315, 12387, 9606, 11, 889, 16436, 311, 5425, 264, 12314, 9168, 7090, 430, 9960, 459, 14132, 17676, 6068, 12744, 13, 578, 9546, 315, 279, 31383, 596, 6691, 11, 26921, 398, 8260, 1461, 11, 1550, 539, 28008, 279, 24869, 430, 433, 574, 6220, 627, 55915, 11, 1645, 22761, 41163, 5084, 311, 387, 520, 3325, 26310, 81336, 2692, 11, 11000, 439, 459, 41993, 20237, 17383, 13, 56733, 11, 1455, 2911, 323, 12884, 1005, 28930, 719, 527, 539, 304, 6114, 2718, 16984, 315, 36394, 13, 6515, 22761, 41163, 11, 1093, 682, 1343, 677, 3557, 11, 8111, 311, 387, 264, 17508, 5621, 1335, 315, 279, 4725, 8850, 2077, 13, 9176, 11909, 4510, 430, 420, 1253, 387, 264, 9687, 2077, 311, 3060, 264, 3766, 4498, 477, 264, 2748, 596, 23418, 13010, 311, 36394, 627, 34, 51549, 15502, 71, 5758, 278, 15419, 11, 477, 356, 18066, 11, 374, 264, 1925, 6514, 315, 5873, 369, 3230, 1343, 677, 3557, 13 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 73084, 12823, 430, 29241, 279, 7831, 261, 311, 279, 38569, 6671, 3060, 27115, 320, 9125, 780, 951, 729, 275, 2065, 8, 477, 19019, 320, 90906, 3785, 8, 527, 14134, 1511, 13, 763, 5369, 11, 279, 3016, 374, 15972, 5627, 315, 23351, 279, 22743, 13010, 323, 1239, 2101, 14604, 2585, 627, 43934, 17868, 11, 5150, 14675, 311, 36394, 374, 279, 1455, 4279, 6425, 13, 4452, 11, 3892, 3495, 7978, 10887, 2533, 220, 1049, 16, 617, 6982, 430, 4200, 8903, 1253, 387, 1120, 439, 7524, 13, 362, 3682, 9610, 315, 4200, 8903, 6514, 374, 279, 19523, 304, 2225, 2853, 323, 892, 11, 439, 1070, 374, 912, 1205, 369, 330, 263, 61970, 1, 42863, 5844, 857, 3904, 13, 1115, 1749, 374, 539, 3686, 31368, 2561, 11, 719, 1253, 387, 5922, 4560, 311, 1505, 422, 499, 649, 627, 791, 5623, 423, 7813, 3418, 70315, 483, 706, 1027, 304, 14830, 19622, 369, 18547, 19823, 6514, 2533, 220, 1049, 23, 13, 1102, 8111, 430, 1701, 279, 24099, 304, 67042, 449, 25702, 15502, 71, 5758, 278, 15419, 1253, 7417, 3135, 11, 719, 279, 3495, 8625, 33269, 520, 420, 892, 627, 11916, 22761, 41163, 8111, 311, 387, 41976, 304, 459, 41993, 7296, 17383, 13, 56733, 11, 433, 11105, 459, 14560, 23851, 389, 264, 4725, 28930, 11, 323, 649, 3719, 5115, 2324, 72259, 287, 369, 96460, 13, 1102, 649, 1101, 387, 11660, 369, 1884, 889, 3217, 264, 2539, 22743, 13010, 1418, 520, 264, 5199, 2673, 13, 6515, 22761, 41163, 649, 4430, 3738, 13803, 449, 5309, 7992, 11, 264, 6593, 19823, 449, 264, 8205, 315, 3284, 11384, 11, 439, 1664, 439, 449, 1023, 3230, 1343, 677, 3557, 13, 1789, 1521, 8125, 11, 422, 499, 3217, 279, 12195, 315, 1645, 22761, 41163, 11, 433, 374, 9193, 3062, 311, 6056, 6721, 1520, 439, 5246, 439, 3284, 815, 2415, 512, 38, 581, 942, 11, 469, 13, 622, 2637, 612, 12839, 11, 432, 13, 423, 13, 330, 791, 364, 30318, 44106, 6, 1210, 38130, 3778, 13, 220, 5162, 15, 13, 220, 2366, 11, 220, 3080, 12, 6028, 13, 3297, 220, 20, 11, 220, 1049, 23, 13, 58891, 505, 1795, 1129, 2185, 1444, 329, 61831, 916, 14, 92109, 2508, 821, 40041, 83131, 36669, 14, 16037, 19673, 27309, 23, 1745, 589, 355, 14, 1725, 14, 1725, 2304, 2628, 198, 2321, 28226, 74, 1141, 11, 7043, 11, 19215, 1910, 3059, 301, 11, 10455, 11, 423, 42602, 11, 21605, 648, 11, 5355, 2761, 37582, 11, 15274, 13, 330, 34126, 44874, 31969, 304, 6515, 22761, 41163, 25, 362, 43551, 449, 71866, 304, 89268, 1, 34711, 69803, 2508, 612, 27773, 13, 5651, 220, 16, 11, 220, 1049, 16, 11, 220, 19, 7, 18, 1680, 220, 16596, 12, 17887, 13, 3297, 220, 20, 11, 220, 1049, 23, 13, 128001, 128000, 791, 25450, 323, 16183, 3614, 33349, 58974, 320, 14202, 24755, 8, 42640, 374, 3685, 311, 7142, 1202, 220, 16, 11, 931, 3701, 71086, 420, 7474, 627, 791, 5745, 24755, 42640, 374, 264, 10496, 5149, 1990, 22146, 323, 279, 7665, 11746, 16784, 13, 1102, 706, 41853, 369, 13489, 832, 34902, 315, 682, 71086, 54098, 449, 25157, 86228, 304, 279, 3925, 315, 82213, 627, 1, 10438, 5745, 24755, 574, 11887, 11, 1193, 220, 845, 7160, 84550, 470, 1441, 1047, 1027, 11352, 555, 3634, 9466, 38270, 13, 20817, 389, 430, 3217, 11, 889, 1436, 617, 19698, 5745, 24755, 1053, 7142, 810, 1109, 220, 1399, 3115, 430, 1396, 11, 323, 304, 1193, 11888, 1667, 1359, 1071, 2999, 13, 11517, 800, 13, 48415, 13, 1283, 374, 10195, 2447, 28568, 369, 22146, 596, 19048, 3161, 264, 7834, 2068, 520, 279, 9266, 596, 4359, 67, 569, 11746, 27675, 5955, 11, 7997, 76948, 11, 54210, 13, 330, 2028, 374, 9615, 264, 23649, 26501, 25765, 10714, 220, 5313, 3346, 315, 279, 470, 1441, 5745, 24755, 11352, 17623, 311, 279, 30718, 34097, 1912, 315, 7160, 84550, 470, 1441, 11, 779, 7086, 1606, 872, 86228, 1935, 1124, 1633, 3345, 311, 9420, 596, 6917, 13, 578, 30718, 34097, 7160, 51933, 388, 1522, 2949, 220, 2636, 11, 931, 8931, 315, 279, 6917, 596, 9621, 7479, 13, 44662, 11, 279, 11841, 18585, 311, 279, 7160, 11, 374, 922, 220, 1927, 3610, 8931, 505, 279, 13238, 7479, 627, 14202, 24755, 706, 1101, 1027, 1511, 311, 7142, 2380, 1023, 1664, 41352, 7913, 71086, 5315, 25, 279, 48290, 11, 449, 520, 3325, 220, 2131, 3697, 26, 21725, 5294, 11, 449, 520, 3325, 220, 1691, 3697, 26, 323, 279, 16852, 16317, 11, 449, 220, 1187, 3697, 13, 4314, 5315, 527, 7086, 1306, 279, 87887, 889, 12090, 279, 470, 1441, 527, 5552, 11, 1606, 814, 617, 4528, 86228, 627, 8607, 71086, 54098, 1051, 1903, 555, 76650, 1701, 5745, 24755, 5448, 389, 279, 8191, 13, 5745, 24755, 71086, 49073, 2586, 505, 682, 927, 279, 1917, 13, 578, 3723, 4273, 11, 3723, 15422, 11, 5734, 11, 6457, 11, 29389, 11, 8524, 11, 19278, 11, 9822, 11, 10057, 11, 323, 71606, 527, 4315, 279, 1690, 5961, 6832, 10495, 617, 1511, 5745, 24755, 311, 33586, 470, 1441, 627, 39782, 682, 315, 5745, 24755, 596, 470, 1441, 527, 11352, 1701, 5448, 505, 1202, 20902, 37337, 323, 27726, 442, 16743, 48183, 9398, 320, 61549, 8445, 8, 14473, 13, 65231, 8445, 374, 1511, 311, 23846, 279, 38678, 11, 80149, 15068, 38775, 16335, 16975, 315, 279, 7160, 11, 2663, 279, 1867, 6863, 13, 362, 13668, 304, 279, 14473, 374, 1511, 311, 1304, 459, 21075, 56528, 11, 22978, 2167, 3177, 505, 279, 7160, 11, 779, 279, 1790, 38678, 261, 1867, 6863, 649, 387, 3970, 13, 8219, 84550, 470, 1441, 527, 11352, 994, 814, 3810, 65231, 8445, 596, 2115, 315, 1684, 439, 814, 1522, 3345, 555, 279, 6917, 627, 1, 31233, 22760, 9398, 82, 1093, 65231, 8445, 374, 2103, 810, 1989, 1109, 8198, 11, 1606, 279, 3177, 584, 527, 4560, 311, 11388, 374, 1633, 38678, 1359, 1071, 2999, 13, 13142, 62033, 1543, 11, 549, 815, 13, 2447, 28568, 369, 5745, 24755, 520, 4359, 67, 569, 13, 330, 8780, 17190, 25384, 304, 279, 70985, 477, 16174, 304, 279, 14473, 690, 45577, 279, 3177, 11, 3339, 279, 5448, 2288, 50380, 311, 387, 5505, 13, 34039, 287, 4661, 220, 16, 11, 931, 470, 1441, 2533, 5745, 24755, 596, 7195, 389, 6790, 220, 17, 11, 220, 2550, 20, 374, 264, 61300, 311, 279, 10151, 315, 279, 65231, 8445, 2128 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10246, 14202, 24755, 7946, 8308, 1202, 6156, 9131, 304, 5936, 220, 2550, 23, 13, 1102, 706, 3403, 10633, 311, 7293, 389, 8216, 311, 2567, 23330, 470, 1441, 369, 11026, 422, 279, 65231, 8445, 9731, 311, 734, 627, 2520, 2038, 922, 5745, 24755, 389, 279, 8191, 11, 4034, 512, 52361, 4726, 25, 5843, 9860, 24808, 11, 2875, 9860, 54709, 25, 8595, 10182, 2349, 374, 2103, 459, 4360, 128001, 128000, 16298, 889, 14993, 311, 1505, 3403, 3691, 311, 8343, 527, 8009, 13, 578, 4435, 8715, 753, 19542, 1584, 374, 459, 8070, 315, 2753, 1109, 400, 16, 13, 914, 264, 1938, 13, 17961, 8691, 13016, 11, 889, 8493, 810, 1109, 430, 3392, 389, 872, 6693, 17222, 11, 527, 304, 912, 2361, 311, 26086, 430, 19971, 13, 763, 279, 3347, 1403, 11026, 11, 7100, 6650, 304, 5734, 323, 6890, 706, 11293, 3728, 19542, 555, 459, 31069, 3392, 13, 3011, 26501, 374, 539, 54182, 1606, 1063, 7931, 304, 2225, 1521, 5961, 617, 3719, 1633, 9257, 13, 13492, 2908, 750, 11, 19542, 374, 922, 10973, 69764, 11606, 352, 81299, 430, 1070, 374, 1101, 264, 8844, 7419, 315, 19542, 512, 16648, 279, 7419, 430, 358, 617, 11223, 389, 420, 5117, 369, 12205, 11, 19542, 1053, 5042, 387, 459, 19821, 315, 12205, 11, 477, 264, 29287, 315, 33647, 20124, 627, 791, 23369, 8070, 374, 279, 2237, 430, 6273, 5219, 315, 1274, 527, 3485, 323, 3770, 11, 779, 430, 264, 10205, 304, 17177, 11826, 30631, 16684, 753, 12306, 1587, 539, 3063, 5606, 1139, 19542, 1389, 430, 1053, 59217, 19542, 323, 32305, 13, 2030, 279, 5873, 315, 23369, 8070, 439, 264, 5905, 2237, 706, 264, 22622, 26431, 13, 1102, 43669, 24031, 279, 4623, 430, 304, 264, 9257, 8396, 11, 19542, 374, 459, 45421, 38550, 311, 16136, 304, 279, 18254, 7640, 315, 430, 8396, 13, 1472, 2643, 9093, 387, 8009, 422, 499, 6996, 2680, 311, 46850, 477, 5690, 11, 1524, 3582, 304, 420, 5201, 499, 527, 912, 11201, 1022, 1109, 279, 8219, 6342, 477, 3842, 423, 13, 85738, 11, 323, 304, 1023, 43666, 33452, 2731, 1022, 1109, 1455, 1274, 304, 279, 1917, 627, 11458, 11, 311, 7124, 19542, 439, 3674, 42308, 5097, 279, 7419, 3117, 3201, 505, 279, 15813, 315, 8070, 13, 1102, 374, 539, 2653, 311, 13085, 7634, 304, 902, 2478, 11, 422, 904, 11, 1274, 3217, 264, 5647, 315, 42308, 13, 4314, 2643, 2997, 2225, 27877, 34775, 449, 1579, 46791, 824, 2010, 1389, 25861, 304, 60280, 35102, 1389, 323, 4382, 27833, 2085, 2680, 311, 6617, 59886, 1389, 19624, 33889, 304, 279, 11469, 1917, 13, 70274, 9221, 264, 13042, 323, 5054, 25885, 4856, 1109, 459, 7100, 832, 627, 4071, 3131, 584, 7124, 19542, 304, 3878, 315, 20124, 7953, 4382, 46791, 439, 17303, 304, 11667, 8316, 11, 584, 617, 13118, 10862, 279, 18455, 315, 7829, 323, 11759, 11, 323, 13967, 11, 1148, 42675, 264, 2324, 5922, 5496, 627, 10156, 439, 30830, 3250, 956, 6767, 682, 430, 13146, 994, 433, 4131, 311, 12205, 11, 358, 1097, 17693, 44929, 315, 9045, 311, 7124, 7447, 33520, 17150, 315, 330, 5481, 17098, 1, 430, 32172, 2204, 33647, 20124, 13, 25647, 527, 13118, 3062, 11374, 311, 4947, 11, 323, 358, 10932, 10705, 4382, 323, 18300, 627, 4516, 1095, 596, 5387, 19542, 4613, 304, 3878, 315, 10973, 8070, 11, 439, 4613, 555, 279, 4435, 8715, 323, 3885, 13, 1442, 584, 2512, 922, 33048, 11, 6996, 315, 2680, 311, 46850, 477, 1524, 5690, 1198, 682, 14268, 23583, 33647, 20124, 1198, 1243, 1095, 596, 3839, 1521, 20124, 389, 872, 50932, 323, 3196, 389, 18300, 7482, 430, 6767, 1521, 20124, 13, 4702, 1541, 956, 2440, 1521, 4819, 330, 5481, 17098, 1, 439, 433, 690, 390, 17131, 6105, 922, 1148, 433, 3445, 311, 387, 28994, 449, 9045, 311, 36861, 8996, 33647, 20124, 584, 439, 264, 8396, 10491, 311, 23564, 13, 128001, 128000, 12, 76952, 33267, 9265, 9995, 6729, 198, 46714, 315, 264, 21102, 17222, 6576, 13, 31137, 2692, 304, 426, 98612, 11, 15704, 389, 220, 1682, 3297, 220, 5926, 15, 11, 568, 8738, 813, 7978, 304, 22463, 11, 15704, 11, 323, 6244, 961, 315, 279, 47647, 6367, 41979, 315, 1614, 304, 220, 5926, 17, 13, 3861, 315, 1403, 463, 69992, 5548, 311, 30460, 393, 9334, 87915, 13, 82311, 315, 39855, 505, 220, 6280, 19, 311, 220, 5162, 18, 1405, 568, 6575, 389, 3674, 5435, 323, 311, 7417, 4398, 1990, 7487, 323, 23234, 13, 4388, 56980, 2320, 462, 478, 315, 328, 15719, 8211, 7164, 299, 384, 8290, 3394, 16796, 9995, 72, 389, 220, 868, 6790, 220, 6280, 23, 13, 469, 2258, 220, 14274, 303, 30460, 304, 220, 5162, 18, 627, 2170, 30460, 11, 7043, 8738, 279, 31343, 315, 3842, 30388, 23440, 13, 1283, 312, 15204, 1055, 291, 279, 10657, 47647, 9251, 11, 323, 60089, 39437, 315, 1690, 315, 1202, 31343, 11, 1778, 439, 279, 72693, 23868, 2065, 323, 15180, 315, 279, 13318, 62629, 13, 1283, 81099, 459, 6625, 6925, 347, 315, 66723, 26, 66723, 1051, 42075, 311, 743, 709, 61783, 315, 42963, 304, 872, 1866, 1891, 511, 84836, 13, 46137, 315, 36693, 367, 3567, 8905, 505, 279, 13041, 13182, 689, 8800, 279, 66723, 11, 5718, 389, 54560, 323, 671, 95821, 1051, 31467, 11, 323, 1063, 17294, 389, 958, 71098, 8950, 1051, 30831, 13, 362, 12396, 311, 65836, 44916, 2383, 24493, 574, 9749, 627, 644, 220, 5162, 19, 11, 7043, 1903, 264, 90413, 311, 279, 19229, 38523, 11, 10671, 279, 1176, 64372, 304, 927, 220, 3965, 1667, 311, 5387, 15704, 13, 3011, 574, 8272, 555, 23277, 311, 6890, 304, 220, 5162, 19, 11, 279, 3723, 4273, 304, 220, 5162, 20, 11, 1405, 568, 20669, 279, 3723, 19687, 11, 10384, 304, 220, 5162, 24, 11, 323, 36664, 13936, 304, 220, 4468, 15, 13, 32467, 1990, 279, 47647, 323, 279, 57298, 1705, 13241, 11, 323, 37961, 6164, 12263, 279, 47647, 369, 279, 1176, 892, 13, 7043, 2322, 449, 6164, 315, 1023, 31012, 11, 323, 304, 220, 5162, 24, 20669, 279, 4435, 9251, 315, 94641, 11, 323, 7347, 61990, 992, 20038, 1051, 8813, 449, 279, 91634, 598, 323, 36302, 598, 13, 7043, 11136, 21420, 312, 2256, 919, 315, 26365, 278, 9036, 2826, 304, 279, 3663, 315, 7982, 47962, 2949, 279, 13041, 16879, 9441, 5196, 13, 1283, 74117, 279, 7926, 315, 3786, 24624, 11, 323, 3779, 3786, 24624, 505, 4948, 1917, 5961 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 627, 644, 279, 220, 5162, 23, 3289, 3418, 32348, 20449, 3444, 68, 29560, 6043, 11, 7043, 73100, 8600, 279, 8993, 753, 9120, 389, 72354, 11, 264, 41698, 311, 1690, 45750, 13, 1102, 6197, 311, 22670, 11, 323, 1690, 5426, 12694, 1132, 552, 30447, 11041, 279, 5224, 13, 52481, 9408, 4860, 922, 28185, 398, 78633, 2826, 11, 25549, 11, 323, 279, 3560, 315, 3278, 304, 279, 8993, 11, 719, 7043, 5762, 311, 8776, 9441, 10093, 627, 12, 422, 499, 617, 2038, 9959, 311, 279, 387, 780, 367, 315, 30460, 7043, 11, 3729, 198, 37284, 13, 23245, 2947, 8875, 13028, 11, 15533, 49, 198, 99728, 28073, 6473, 84469, 30768, 198, 55528, 12639, 18223, 11, 220, 1032, 198, 13860, 1691, 426, 98612, 11, 8871, 984, 56, 198, 12, 1054, 53, 804, 481, 30460, 7043, 30768, 77284, 33319, 815, 48, 18378, 916, 13, 220, 21, 7552, 220, 679, 18, 13, 5000, 13, 220, 1691, 3297, 220, 679, 18, 13, 14729, 128001, 128000, 63507, 10506, 706, 264, 3350, 455, 389, 279, 5652, 12178, 304, 279, 10278, 7119, 459, 100137, 3225, 62494, 1903, 315, 88848, 2229, 82, 11, 7633, 420, 2046, 304, 10170, 13, 1226, 3077, 1027, 2768, 420, 5557, 2533, 279, 7314, 13, 578, 42445, 374, 3241, 430, 15714, 12074, 2955, 7384, 430, 527, 2225, 3428, 77401, 323, 7029, 7198, 13, 330, 791, 62494, 430, 279, 12074, 5918, 4375, 449, 93959, 315, 3177, 24950, 505, 922, 220, 16, 311, 220, 972, 23401, 1494, 59037, 2001, 264, 93512, 439, 7353, 439, 279, 9621, 20326, 13, 2360, 832, 706, 3686, 1903, 264, 5405, 1802, 3756, 430, 4375, 304, 279, 9621, 20326, 11, 323, 1884, 88848, 2229, 82, 430, 617, 1027, 70554, 8541, 311, 990, 1193, 449, 15376, 21562, 315, 3177, 13, 2030, 264, 62494, 430, 1903, 459, 1665, 30547, 311, 3177, 315, 1193, 832, 1933, 1053, 539, 387, 315, 1790, 1005, 13, 35339, 11, 264, 5405, 1802, 3756, 649, 956, 10150, 311, 387, 4814, 88, 25, 422, 433, 15714, 1120, 264, 2697, 2766, 315, 3177, 8881, 1022, 279, 1665, 433, 596, 10171, 311, 62494, 11, 433, 596, 912, 5129, 7524, 13, 578, 62494, 430, 9259, 5918, 374, 1633, 3428, 4814, 11, 7946, 49647, 11149, 4661, 682, 279, 3177, 430, 13280, 433, 1210, 128001, 128000, 791, 18766, 33063, 198, 7285, 17, 1198, 9853, 12167, 11, 578, 3723, 4273, 315, 5270, 198, 16, 11, 18058, 23579, 11, 220, 1806, 17089, 198, 20397, 279, 5708, 3157, 10121, 315, 220, 5926, 24, 11, 9853, 12167, 2231, 389, 264, 16358, 1501, 369, 220, 7285, 17, 11871, 323, 2103, 9670, 709, 449, 264, 3610, 54135, 41548, 13, 80057, 574, 3428, 1606, 1690, 1023, 5961, 1550, 539, 1524, 617, 279, 3300, 311, 16136, 304, 279, 11871, 13, 578, 3778, 8068, 30801, 279, 10937, 627, 2000, 25944, 39568, 198, 8607, 502, 46045, 1051, 83860, 520, 279, 11871, 13, 578, 1176, 25944, 14458, 574, 5918, 323, 1475, 34880, 574, 52258, 11, 23114, 323, 40460, 369, 2753, 1109, 400, 17, 264, 1938, 13, 578, 14458, 5343, 264, 8952, 11, 6875, 11, 1772, 5274, 11, 97094, 8221, 11, 34292, 11, 323, 18397, 12295, 13, 8876, 9853, 12167, 34880, 33889, 617, 1027, 279, 7617, 520, 279, 25944, 11871, 13, 21246, 67467, 18912, 11, 279, 12845, 2559, 11, 323, 279, 5737, 315, 279, 5426, 23064, 12116, 1051, 1101, 11784, 304, 9853, 12167, 627, 35, 38566, 4584, 16589, 3948, 263, 2834, 264, 6761, 37712, 304, 279, 1579, 7940, 323, 15083, 580, 330, 5530, 88, 1, 480, 54756, 818, 9277, 1176, 304, 293, 519, 309, 4870, 46329, 13, 7008, 596, 1023, 60082, 3782, 505, 3839, 323, 2115, 11, 36540, 11, 2872, 287, 323, 379, 613, 1303, 4455, 13, 36262, 1051, 25406, 994, 872, 8954, 23579, 1051, 704, 97837, 323, 1550, 539, 13454, 279, 2450, 814, 1047, 304, 38841, 13, 473, 56261, 36478, 315, 30613, 2834, 1403, 15310, 60082, 304, 3839, 1306, 5108, 2132, 311, 75698, 52294, 505, 28702, 13, 3277, 52294, 574, 6689, 323, 7577, 1667, 3010, 459, 76901, 8710, 330, 32158, 1, 574, 3604, 264, 893, 13, 1442, 264, 1877, 17261, 1047, 1027, 1511, 304, 220, 7285, 17, 36478, 1053, 617, 2834, 6761, 13, 362, 1877, 17261, 574, 539, 11784, 520, 279, 33063, 3156, 220, 5162, 23, 13, 13538, 279, 220, 5162, 23, 11871, 3892, 1917, 15144, 23579, 15187, 22311, 19392, 430, 52294, 574, 4762, 539, 279, 1193, 893, 889, 3596, 6818, 311, 1522, 439, 264, 8954, 34880, 627, 26509, 220, 17, 11, 15347, 220, 20, 11, 45967, 220, 23, 198, 17809, 77577, 507, 9109, 5901, 19645, 482, 220, 7028, 23, 12, 6280, 17, 15001, 59687, 128001, 128000, 38, 5485, 16797, 26850, 15984, 706, 264, 502, 8945, 9405, 505, 279, 3861, 57225, 3700, 9576, 2447, 2663, 279, 19723, 2239, 11, 264, 55883, 21354, 6812, 8967, 369, 1005, 555, 4236, 315, 682, 17051, 304, 11469, 5961, 304, 279, 12877, 6460, 11, 13936, 323, 10384, 627, 51665, 1104, 3778, 8079, 5068, 430, 6500, 29414, 304, 24435, 5961, 690, 1304, 279, 15984, 19723, 2239, 11, 323, 4236, 520, 279, 24379, 8853, 690, 1005, 279, 29679, 11, 264, 15266, 1887, 430, 690, 29057, 8108, 279, 2853, 824, 5089, 627, 791, 19723, 2239, 690, 617, 264, 220, 1114, 13, 23, 21911, 26402, 7447, 40026, 22745, 4264, 922, 279, 1404, 315, 459, 8339, 35412, 6785, 13, 1102, 706, 6913, 4156, 323, 14981, 18632, 449, 220, 15, 13, 18, 12, 323, 220, 17, 1474, 797, 95295, 59539, 11, 264, 43495, 11, 832, 23401, 67811, 315, 5044, 11, 323, 220, 1313, 23401, 72229, 315, 5942, 627, 791, 15984, 21354, 2345, 1220, 3428, 2853, 72665, 2345, 14724, 1101, 387, 19167, 449, 459, 97848, 323, 3177, 12271, 627, 3112, 2533, 279, 19723, 2239, 374, 15871, 8967, 369, 1005, 555, 4236, 304, 682, 95883, 22484, 11, 832, 315, 1202, 1888, 4519, 374, 1202, 357, 16468, 1918, 13, 19332, 505, 264, 3254, 6710, 315, 12466, 11, 279, 19723, 2239, 4124, 5727, 264, 23506, 342, 9746, 10954, 369, 1202, 4264, 11, 3339, 279, 21354, 47519, 13, 578, 45652, 12466, 8246, 6276, 279, 19723, 2239, 311, 35406, 264, 220, 2031, 21911, 26402, 477, 220, 17, 21117, 6068, 2085, 15061, 627, 50199, 753, 28640, 24668, 11, 7690, 369, 3495, 323, 9293, 369, 279, 16797, 26850, 753, 11930, 8152, 96209, 1912, 11, 1071, 279, 21354, 649, 1101, 4667, 311, 14488, 4669, 17664 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27395, 11, 220, 18, 38, 477, 24783, 11, 323, 1510, 4211, 1457, 1629, 389, 5632, 220, 22, 10293, 627, 69071, 1071, 304, 264, 2478, 4038, 11, 11028, 430, 1629, 389, 5195, 753, 8682, 10565, 1887, 1053, 387, 2561, 11, 11911, 389, 37869, 7376, 555, 279, 5370, 24435, 17032, 627, 791, 21354, 690, 4461, 2853, 2212, 400, 1049, 1389, 400, 3101, 1855, 11, 264, 2867, 4948, 315, 279, 3430, 315, 1023, 29679, 304, 279, 3157, 3432, 13, 128001, 128000, 12132, 765, 76336, 198, 41619, 11, 6250, 220, 22, 11, 220, 679, 16, 198, 3957, 2684, 87669, 304, 11746, 5380, 9642, 11, 420, 7474, 87887, 1701, 279, 65466, 331, 301, 87062, 11054, 24463, 35715, 304, 3634, 13, 2435, 1766, 1521, 35715, 304, 279, 69773, 81967, 5724, 11, 220, 16, 11, 17451, 3177, 1667, 3201, 13, 87669, 374, 279, 4948, 1455, 44611, 2449, 304, 279, 15861, 13, 30070, 1457, 11, 14248, 617, 1193, 3970, 3927, 24463, 33299, 304, 3634, 13, 1226, 656, 539, 37397, 3927, 24463, 33299, 11, 719, 4856, 24463, 35715, 13, 320, 32, 43030, 374, 264, 1912, 315, 33299, 293, 6601, 3871, 323, 433, 374, 279, 25655, 5089, 315, 11742, 24549, 430, 649, 1935, 961, 304, 264, 11742, 13010, 6266, 87669, 35715, 1304, 709, 220, 508, 4, 315, 279, 3805, 584, 37397, 13, 57116, 46820, 553, 430, 279, 24463, 35715, 1051, 16447, 709, 304, 3090, 10054, 430, 9522, 38888, 11, 5587, 220, 605, 11, 220, 679, 16, 198, 40, 2846, 2468, 7085, 320, 51665, 1104, 18230, 315, 18984, 386, 8875, 596, 358, 2846, 98018, 340, 8586, 304, 10780, 433, 706, 1027, 18004, 369, 279, 1566, 2380, 5672, 1389, 912, 7160, 11, 1120, 50684, 12056, 323, 11422, 13, 1115, 5609, 1903, 1057, 1938, 13, 1102, 706, 52495, 11, 2294, 4731, 323, 33299, 0, 578, 24142, 2997, 35631, 5238, 1778, 439, 25, 1054, 92403, 11049, 3871, 311, 1376, 35715, 7648, 315, 1148, 753, 14932, 757, 323, 499, 51279, 1115, 8198, 33487, 706, 1027, 743, 311, 279, 4731, 315, 18984, 386, 8875, 753, 1054, 40, 4344, 98018, 11453, 1115, 374, 264, 2011, 3821, 4999, 34774, 11, 7552, 220, 1627, 11, 220, 679, 16, 198, 791, 18682, 22208, 58974, 198, 8586, 520, 7445, 34917, 22208, 11, 584, 3021, 6975, 922, 12782, 13, 41974, 11, 584, 527, 539, 7636, 13, 2684, 374, 264, 2447, 1694, 11887, 2663, 279, 18682, 22208, 58974, 430, 374, 1694, 24853, 555, 279, 42592, 393, 13, 94193, 5114, 13, 578, 7580, 315, 420, 1912, 374, 311, 4007, 12782, 5655, 4871, 279, 9578, 13, 22208, 3727, 709, 15038, 505, 220, 15, 13, 22, 4, 311, 220, 18, 13, 17, 4, 315, 279, 9578, 753, 5540, 13, 1226, 1440, 430, 1070, 374, 12782, 31691, 1234, 279, 9578, 753, 40712, 11, 719, 584, 1541, 1431, 1440, 1268, 1790, 13, 578, 18682, 22208, 58974, 374, 2133, 311, 4007, 1268, 1790, 12782, 1070, 374, 304, 279, 9578, 323, 1148, 8741, 311, 433, 13, 13596, 3488, 374, 1148, 1376, 374, 279, 9522, 35720, 11, 7552, 220, 914, 11, 220, 679, 16, 198, 9241, 1587, 6962, 2586, 505, 5380, 37707, 0, 320, 1687, 2744, 3021, 433, 994, 279, 4320, 374, 12782, 6266, 578, 6962, 584, 1005, 311, 2410, 1057, 9515, 4131, 505, 29602, 8478, 17808, 5030, 13, 3639, 1587, 430, 3152, 30, 2052, 2324, 706, 12782, 304, 433, 1198, 420, 5764, 4395, 5496, 505, 499, 323, 757, 311, 14017, 71861, 11, 15596, 365, 494, 82, 11, 62036, 3153, 323, 67329, 12320, 13, 8876, 682, 5496, 2574, 617, 12782, 304, 1124, 11, 814, 527, 14183, 311, 439, 17808, 5030, 13, 11842, 12, 61694, 5030, 5764, 2574, 1093, 23902, 11, 3090, 323, 37182, 13, 3277, 2555, 17808, 8898, 11, 433, 5900, 1139, 279, 9578, 753, 7479, 13, 1789, 3187, 11, 994, 264, 16312, 17503, 1022, 264, 5021, 11, 433, 93018, 389, 279, 5015, 13, 6193, 279, 1828, 4038, 11, 433, 14297, 938, 2641, 323, 9522, 35720, 11, 7552, 220, 806, 11, 220, 679, 16, 198, 4438, 311, 4076, 459, 8711, 4740, 60005, 198, 8586, 389, 279, 7445, 34917, 22208, 5117, 11, 358, 690, 3137, 922, 279, 5540, 264, 2763, 1606, 330, 37707, 1, 374, 459, 2449, 13, 7445, 34917, 22208, 374, 264, 6437, 7564, 449, 264, 6307, 9072, 323, 304, 420, 5117, 11, 568, 5992, 1093, 568, 374, 220, 16, 220, 16, 14, 17, 15271, 1579, 13, 1283, 706, 1403, 25562, 2212, 1461, 449, 4848, 14071, 66818, 13, 10541, 19369, 11, 7445, 34917, 22208, 1587, 539, 7041, 1427, 1093, 5540, 304, 279, 1972, 1917, 13, 35257, 527, 2216, 11, 2216, 11, 2678, 13, 1472, 4250, 1518, 1124, 449, 279, 19557, 8071, 11, 477, 1524, 449, 264, 73757, 13, 10541, 499, 649, 956, 1518, 5540, 11, 814, 527, 682, 2212, 499, 13, 20696, 374, 1903, 709, 315, 5540, 25, 279, 6500, 499, 527, 5403, 420, 5117, 389, 11, 279, 2007, 279, 6500, 23874, 389, 11, 279, 3805, 499, 1131, 128001, 128000, 97447, 2740, 15465, 30, 3639, 1587, 420, 3152, 30, 47613, 649, 2997, 2555, 430, 374, 13893, 15538, 311, 264, 4040, 1912, 315, 1274, 477, 43903, 29510, 5054, 58423, 13, 12540, 16689, 1022, 53703, 387, 5762, 311, 520, 3325, 459, 6273, 422, 539, 5190, 5410, 5380, 2028, 374, 856, 3446, 627, 2181, 6137, 304, 264, 39313, 3130, 520, 264, 5054, 1567, 420, 3347, 2046, 13, 1102, 3940, 439, 264, 8431, 10652, 13, 358, 4691, 459, 16689, 1022, 950, 11, 330, 3923, 3673, 649, 387, 16626, 389, 555, 5684, 26938, 30, 1102, 2771, 5084, 1093, 430, 1053, 539, 387, 264, 1376, 315, 18300, 11, 18740, 3109, 10246, 4897, 10430, 17948, 264, 32015, 449, 279, 16689, 4033, 13, 1102, 9508, 1093, 15123, 69364, 1202, 64159, 389, 757, 430, 3814, 13, 330, 37, 1, 33606, 993, 93176, 505, 279, 16689, 4033, 596, 11013, 1093, 24767, 323, 39885, 993, 365, 505, 264, 66306, 13, 74658, 54221, 11, 358, 4691, 279, 66306, 311, 17257, 993, 79510, 1202, 64159, 13, 8442, 1306, 264, 2132, 16689, 4033, 665, 414, 3359, 279, 66306, 311, 3009, 11, 1550, 279, 330, 37, 1, 33606, 32616, 627, 2746, 856, 16945, 3488, 3900, 416, 1220, 430, 955, 315, 2077, 11, 433, 86301, 279, 8294, 3488, 315, 420, 16689, 4033, 596, 17025, 323, 5201, 369, 4279, 5647, 323, 99370, 13, 128001, 128000, 1688, 452, 52271, 596, 1566, 26166, 46083, 13149 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6187, 11, 77919, 33942, 526, 4691, 420, 3488, 512, 1, 4919, 499, 636, 42068, 505, 11217, 48469, 791, 4320, 311, 420, 2643, 13051, 499, 13, 10541, 499, 649, 956, 636, 42068, 6089, 505, 11217, 11, 1701, 11217, 649, 5376, 701, 17393, 315, 34168, 264, 17188, 1093, 23495, 320, 1820, 17188, 430, 11384, 46060, 570, 763, 2144, 11, 28198, 5938, 449, 5623, 11737, 527, 832, 315, 279, 8706, 9547, 304, 279, 9041, 315, 23495, 4028, 279, 2326, 627, 4897, 596, 1606, 11217, 649, 9622, 709, 701, 19971, 323, 3063, 311, 3958, 11429, 2345, 14176, 11429, 1093, 20451, 1877, 13, 1628, 41273, 1877, 649, 3063, 311, 810, 1109, 20209, 13, 1102, 649, 1101, 3063, 311, 10671, 29374, 449, 23495, 477, 1023, 27681, 34699, 42068, 13, 128001, 128000, 98951, 5046, 578, 72116, 2468, 31816, 273, 81275, 198, 70551, 273, 81275, 374, 459, 7185, 2547, 315, 7878, 3090, 13, 35211, 3115, 315, 279, 1060, 11, 433, 374, 264, 22553, 323, 1023, 3115, 315, 279, 1060, 433, 374, 264, 15140, 13, 12220, 279, 9235, 3280, 320, 34827, 63086, 8, 279, 3090, 79750, 1139, 279, 126061, 647, 304, 2405, 17101, 13597, 71, 6968, 264, 15140, 323, 994, 279, 1647, 67156, 3280, 13280, 320, 28259, 12, 31294, 705, 279, 6530, 315, 3090, 17888, 288, 1203, 323, 7739, 264, 22553, 13, 578, 22553, 14, 5586, 26038, 374, 1101, 459, 3062, 2449, 315, 62138, 1606, 315, 279, 3158, 753, 9257, 20057, 315, 50953, 2324, 323, 279, 3090, 753, 12939, 311, 279, 61921, 304, 279, 3158, 627, 47696, 19116, 666, 647, 477, 279, 20774, 1195, 10164, 17772, 374, 28284, 2391, 3389, 6664, 477, 4216, 6841, 753, 2539, 18266, 994, 279, 3090, 17888, 288, 1202, 6530, 13, 1789, 2380, 2919, 11, 279, 25861, 323, 33889, 3235, 279, 15140, 11, 2737, 2405, 17101, 13597, 71, 66801, 1139, 2324, 449, 91749, 315, 46058, 7162, 37109, 32731, 21973, 31816, 273, 81275, 13, 33292, 811, 1101, 3621, 304, 7568, 41817, 21350, 11, 8051, 9333, 304, 5569, 433, 374, 2103, 16358, 11, 449, 279, 27850, 13788, 439, 264, 62081, 39577, 13, 578, 22020, 315, 279, 19309, 527, 279, 15688, 21234, 430, 4128, 6908, 35851, 505, 682, 927, 323, 527, 57310, 555, 11758, 315, 32731, 46338, 9214, 315, 54269, 9438, 11829, 19309, 5196, 706, 14154, 20282, 13, 7568, 74, 22865, 45619, 1053, 3412, 43682, 323, 1518, 889, 279, 12474, 43600, 1051, 13, 1472, 649, 9616, 420, 10937, 311, 264, 503, 26169, 304, 4606, 439, 264, 3445, 315, 4967, 323, 264, 14130, 1234, 279, 11734, 753, 3821, 1285, 8071, 627, 47696, 19116, 666, 647, 1101, 706, 18330, 26431, 13, 9029, 1053, 24739, 323, 9901, 279, 15140, 369, 8405, 3090, 11, 70225, 4363, 11, 323, 7795, 627, 34242, 2212, 31816, 273, 81275, 2212, 420, 892, 374, 459, 9250, 892, 311, 7142, 62138, 323, 5249, 279, 25958, 304, 279, 8706, 25960, 315, 279, 1060, 627, 9, 353, 353, 353, 1235, 29986, 389, 220, 806, 14, 717, 14, 2545, 128001, 128000, 8586, 527, 279, 32874, 922, 279, 16576, 70407, 315, 5270, 512, 63504, 70407, 315, 5270, 477, 426, 7934, 198, 85973, 389, 220, 23, 7552, 220, 7529, 15, 11, 304, 6652, 11, 11162, 11, 555, 10780, 21959, 12656, 16576, 346, 198, 4873, 34259, 555, 279, 2326, 8151, 304, 220, 7529, 21, 320, 64, 2478, 1023, 12822, 7620, 617, 31719, 9676, 388, 11, 2737, 279, 16803, 6690, 45498, 1174, 11617, 70407, 315, 279, 7427, 1174, 279, 30857, 612, 20666, 70132, 315, 5270, 1174, 12781, 63422, 315, 5270, 510, 7801, 1145, 323, 220, 19, 11529, 510, 7801, 2608, 12626, 20246, 304, 56310, 11, 8421, 320, 52759, 19051, 340, 791, 426, 7934, 374, 279, 7427, 596, 1193, 16576, 2522, 11149, 7471, 15324, 555, 279, 4435, 21021, 315, 279, 48635, 29098, 320, 35676, 5961, 617, 3892, 2522, 11149, 7620, 4390, 791, 426, 7934, 3604, 5825, 279, 2522, 11149, 2068, 311, 2380, 5961, 25, 279, 2326, 5636, 279, 16867, 13218, 17089, 315, 279, 30508, 23028, 323, 28095, 32921, 689, 11, 902, 527, 10434, 555, 28621, 596, 95554, 4317, 9251, 627, 791, 426, 7934, 374, 18255, 1139, 922, 220, 3101, 2254, 9251, 82, 627, 791, 426, 7934, 323, 1202, 2254, 9251, 82, 3539, 922, 220, 3443, 15, 2539, 7394, 6721, 5687, 627, 791, 426, 7934, 374, 279, 2132, 7928, 2522, 11149, 7471, 304, 279, 1917, 320, 1820, 7928, 374, 24922, 4390, 7749, 16250, 320, 1527, 264, 5587, 220, 679, 16, 37812, 28841, 389, 279, 426, 7934, 3997, 11, 8051, 1202, 2038, 35327, 10284, 505, 1023, 5219, 389, 279, 426, 7934, 3997, 8, 320, 717, 14, 2148, 14, 679, 15, 8, 574, 220, 18, 220, 18660, 220, 25659, 320, 17, 220, 20691, 220, 17470, 12822, 323, 220, 16, 220, 22349, 220, 20235, 12884, 570, 1115, 1587, 539, 2997, 16250, 304, 279, 2978, 6108, 21579, 369, 9601, 41164, 315, 279, 426, 7934, 11, 719, 1587, 1797, 220, 10943, 76281, 70407, 323, 220, 3391, 220, 12226, 6822, 9251, 48635, 388, 627, 791, 426, 7934, 706, 3116, 2068, 37601, 11, 2380, 8776, 2522, 11149, 7620, 3196, 389, 12239, 477, 4325, 11, 5636, 264, 11999, 24978, 6108, 2536, 10398, 329, 3079, 41164, 512, 34, 392, 2522, 11149, 14829, 320, 30123, 11, 28711, 220, 16, 1555, 220, 20, 340, 25370, 304, 12239, 220, 16, 527, 2663, 36845, 51143, 627, 25370, 304, 28711, 220, 17, 323, 220, 18, 527, 2663, 18521, 70407, 11, 323, 990, 389, 26296, 7222, 320, 7082, 220, 17, 8, 477, 24941, 7222, 320, 7082, 220, 18, 4390, 25370, 304, 28711, 220, 19, 323, 220, 20, 527, 2663, 5000, 301, 437, 70407, 11, 323, 990, 389, 279, 5000, 301, 437, 7222, 323, 279, 34812, 315, 8828, 7222, 627, 6109, 301, 437, 70407, 6118, 19560, 1139, 16576, 2522, 11149, 304, 922, 7552, 315, 12239, 220, 20, 627, 791, 8244, 18521, 2522, 11149, 2068, 374, 3070, 50482, 11, 6822, 23831, 11, 323, 6209, 1633, 2697, 33873, 477, 16166, 7640, 627, 53130, 6164, 649, 387, 8762, 477, 8954, 11, 927, 4325, 220, 1691, 320, 425, 220, 972, 12, 508, 369, 3738, 18328, 10093, 570, 578, 7808, 315, 279, 3854, 374, 279, 18521, 13943, 11, 323, 1855, 3453, 374, 6197, 555, 459, 6822, 9973, 23896, 627, 791, 1193, 8334, 11692, 2361, 374, 9973, 1215, 11, 46720, 15438, 4315, 279, 3453, 3697, 11, 902, 17610, 10213, 315, 10695, 279, 9973, 23896 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 323, 3339, 264, 3453, 1934, 520, 279, 15438, 3854, 6574, 627, 2170, 315, 220, 717, 14, 2148, 14, 679, 15, 11, 18521, 48635, 12822, 16250, 5343, 220, 14057, 220, 11483, 36845, 51143, 11, 220, 18770, 220, 25862, 18521, 70407, 11, 323, 220, 22529, 220, 20936, 5000, 301, 437, 70407, 11, 369, 264, 2860, 315, 220, 16, 220, 20068, 220, 18262, 11, 264, 832, 4771, 4814, 315, 220, 22, 13, 23, 14697, 2684, 527, 220, 2618, 220, 15537, 31406, 11, 449, 459, 5578, 1404, 315, 220, 843, 12822, 3697, 13, 1628, 1070, 527, 220, 18245, 220, 16408, 6822, 18521, 48635, 6164, 627, 63504, 2522, 11149, 14829, 320, 30123, 11, 4325, 922, 220, 605, 12, 16, 14, 17, 3156, 220, 972, 340, 11874, 7620, 2345, 63504, 2522, 11149, 323, 650, 71980, 2522, 11149, 198, 63504, 2522, 11149, 374, 8776, 2522, 11149, 369, 13305, 4325, 13489, 220, 605, 12, 16, 14, 17, 3156, 220, 972, 627, 644, 5369, 311, 279, 4689, 33873, 2068, 369, 682, 70407, 11, 9191, 70407, 304, 264, 71816, 649, 1376, 264, 71474, 33622, 311, 656, 1579, 18427, 7640, 13, 7181, 430, 279, 71816, 596, 71474, 33622, 323, 27505, 1711, 320, 4151, 3770, 8, 527, 6724, 8821, 323, 46305, 7620, 11, 8994, 279, 31715, 398, 4528, 5144, 627, 63504, 70407, 990, 389, 220, 21, 21467, 25, 94967, 5447, 11, 10657, 3308, 11, 5629, 3308, 11, 7834, 11, 9601, 11, 36895, 13, 36895, 70407, 649, 1101, 7380, 36895, 11165, 1026, 11, 719, 1521, 527, 539, 21467, 627, 791, 8244, 16576, 2522, 11149, 2068, 374, 10213, 8334, 23831, 449, 12884, 8405, 19351, 323, 4967, 11, 323, 374, 16917, 42208, 9017, 264, 33873, 323, 16166, 2068, 627, 1688, 922, 4325, 220, 975, 11, 264, 16576, 48635, 649, 5268, 311, 7293, 304, 279, 71816, 11, 477, 8481, 311, 264, 650, 71980, 2128, 11, 477, 8481, 311, 264, 27505, 1711, 13941, 627, 53130, 71816, 6164, 649, 387, 8762, 477, 8954, 11, 927, 4325, 220, 1691, 320, 425, 220, 972, 12, 508, 369, 22103, 48635, 64711, 570, 578, 6822, 7808, 315, 279, 71816, 374, 279, 48635, 13943, 627, 791, 8334, 7808, 315, 279, 71816, 374, 279, 16689, 19903, 45498, 23896, 11, 323, 1855, 33622, 374, 6197, 555, 459, 16689, 8334, 45498, 23896, 627, 2170, 315, 220, 717, 14, 2148, 14, 679, 15, 11, 16576, 2522, 11149, 16250, 5343, 220, 24763, 220, 2366, 12822, 3697, 323, 220, 22741, 220, 24571, 6822, 6164, 13, 2684, 527, 220, 1272, 220, 26513, 17312, 11, 449, 459, 5578, 1404, 315, 220, 508, 12822, 3697, 627, 29405, 488, 2522, 11149, 374, 264, 8821, 11, 10309, 11, 2536, 23283, 291, 11, 323, 2697, 69621, 2068, 369, 13305, 4325, 220, 975, 3156, 220, 972, 320, 63995, 1511, 555, 279, 72636, 10482, 494, 263, 8993, 4390, 29405, 488, 70407, 10051, 279, 1890, 14113, 439, 16576, 70407, 320, 4291, 10284, 2204, 54127, 689, 705, 323, 990, 389, 279, 1890, 21467, 627, 29405, 488, 70407, 11383, 3190, 1093, 16576, 70407, 11, 323, 3629, 20874, 304, 2128, 10034, 627, 53130, 2128, 6164, 649, 387, 8762, 477, 8954, 11, 927, 4325, 220, 1691, 320, 425, 220, 972, 12, 508, 369, 22103, 3623, 14576, 570, 578, 6822, 7808, 315, 279, 2128, 374, 279, 28275, 627, 791, 8334, 7808, 315, 279, 2128, 374, 279, 16689, 8068, 22022, 11, 323, 1855, 19037, 374, 6197, 555, 459, 16689, 19037, 7808, 627, 2170, 315, 220, 717, 14, 2148, 14, 679, 15, 11, 650, 71980, 2522, 11149, 16250, 5343, 220, 2946, 220, 26051, 12822, 3697, 323, 220, 1313, 220, 22397, 6822, 6164, 13, 2684, 527, 220, 25724, 24, 7411, 11, 449, 459, 5578, 1404, 315, 1193, 220, 22, 12822, 3697, 627, 2170, 315, 220, 717, 14, 2148, 14, 679, 15, 11, 8244, 12822, 16250, 304, 279, 16576, 2522, 11149, 14829, 320, 63504, 70407, 489, 650, 71980, 70407, 8, 89518, 220, 24571, 220, 26478, 11, 264, 832, 4771, 4814, 315, 220, 20, 13, 16, 126437, 60261, 2522, 11149, 320, 70614, 15379, 18491, 5620, 8, 374, 961, 315, 279, 27505, 1711, 2068, 627, 791, 4846, 7076, 66104, 2136, 1398, 4406, 287, 2068, 374, 1457, 961, 315, 21579, 369, 9601, 627, 37521, 27505, 12070, 649, 990, 389, 279, 1890, 21467, 439, 16576, 70407, 320, 26522, 2740, 11, 814, 2011, 7380, 279, 21467, 1555, 5629, 3308, 439, 264, 4562, 315, 264, 16576, 48635, 71816, 570, 763, 5369, 11, 682, 27505, 12070, 617, 872, 1866, 50925, 1887, 11, 11957, 65383, 449, 279, 27505, 1711, 15347, 17768, 13, 1628, 15379, 70407, 617, 459, 5217, 50925, 2068, 11, 11957, 65383, 449, 279, 93845, 5098, 2352, 10292, 627, 7497, 32, 596, 27505, 1711, 14829, 374, 19018, 7863, 311, 279, 13890, 7620, 304, 1455, 1023, 5961, 1606, 1579, 35789, 57859, 3995, 3026, 617, 279, 3072, 315, 1694, 264, 27505, 7889, 11, 477, 814, 649, 7293, 304, 264, 48635, 71816, 477, 5249, 264, 650, 71980, 2128, 627, 3947, 374, 912, 426, 7934, 2068, 13890, 311, 279, 53276, 7620, 2561, 304, 1063, 5961, 320, 2000, 1884, 927, 4325, 220, 1691, 4390, 53130, 6164, 649, 387, 8762, 477, 8954, 11, 927, 4325, 220, 1691, 320, 425, 220, 972, 12, 508, 369, 22712, 91785, 570, 578, 6822, 7808, 374, 2663, 279, 27505, 1711, 54432, 627, 791, 1401, 12822, 7808, 315, 264, 27505, 1711, 13941, 374, 279, 16689, 13941, 4900, 627, 2170, 315, 220, 717, 14, 2148, 14, 679, 15, 11, 27505, 1711, 12822, 16250, 89518, 220, 14206, 220, 22897, 11, 264, 832, 4771, 4814, 315, 220, 806, 13, 19, 14697, 2684, 527, 220, 972, 220, 25505, 43160, 11, 449, 459, 5578, 1404, 315, 220, 717, 12822, 3697, 13, 29738, 12822, 16250, 374, 220, 2148, 4, 315, 279, 2860, 13, 1628, 1070, 527, 220, 5547, 220, 13837, 6822, 27505, 1711, 6164, 627, 11874, 7620, 2345, 48567, 369, 9601, 320, 22606, 6108, 7620, 8, 323, 18491, 5620, 320, 1816, 29654, 6108, 2068, 340, 48567, 369, 9601, 374, 264, 2536, 10398, 329, 3079, 11, 1080, 291, 11, 24978, 6108, 3752, 6873, 2068, 11, 449, 7620, 743, 709, 555, 12239, 512, 40450, 388, 320, 42, 41327, 220, 17, 340, 51102, 388, 320, 23142, 220, 18, 323, 220, 19, 340, 1163, 543, 15232, 320, 23142, 220, 20, 323, 220, 21, 340, 1163, 9310, 320, 15495, 3966, 340, 63406, 320, 23142, 220, 22, 323, 220, 23, 340, 99542, 3046 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 320, 12156, 2978, 340, 43, 6254, 3697, 527, 539, 2631, 311, 49553, 311, 279, 48635, 507, 589, 477, 7658, 11, 323, 16250, 374, 1825, 311, 904, 12822, 3917, 311, 279, 4325, 17294, 627, 45053, 5620, 374, 279, 9046, 315, 21579, 369, 9601, 430, 24400, 389, 27465, 6108, 323, 7076, 36185, 12034, 369, 1579, 35789, 57859, 12822, 13, 7181, 430, 1148, 574, 369, 1690, 1667, 2663, 330, 45053, 5620, 1, 374, 1457, 8965, 9960, 304, 279, 27505, 1711, 2068, 627, 41092, 374, 311, 1520, 3995, 1274, 2274, 7512, 11, 6928, 33726, 11, 2819, 11, 323, 7076, 17985, 627, 48567, 369, 9601, 14132, 912, 5129, 6821, 1202, 16250, 5219, 627, 50122, 3361, 11692, 323, 25679, 311, 16036, 323, 19624, 2522, 11149, 7620, 304, 279, 18521, 2522, 11149, 11, 16576, 2522, 11149, 11, 323, 27505, 1711, 37601, 198, 35575, 5357, 389, 23413, 22315, 304, 2522, 11149, 11, 449, 3230, 24400, 389, 11904, 9053, 11, 41985, 9053, 7586, 15111, 437, 11, 323, 14875, 9053, 198, 8139, 323, 35813, 198, 8142, 279, 11617, 70407, 315, 279, 7427, 1650, 682, 872, 8316, 17312, 11, 279, 426, 7934, 36611, 1202, 8316, 555, 279, 2068, 814, 6929, 512, 34, 392, 70407, 9352, 311, 264, 3854, 11, 902, 374, 18255, 1139, 3892, 39950, 320, 266, 3325, 832, 36845, 3453, 11, 26296, 3453, 11, 24941, 3453, 11, 1176, 4771, 5000, 301, 437, 3453, 11, 323, 2132, 4771, 5000, 301, 437, 3453, 570, 5000, 301, 437, 39950, 1253, 1101, 5268, 311, 1650, 5694, 88142, 323, 11142, 264, 33622, 836, 4619, 315, 264, 3453, 1396, 627, 63504, 70407, 9352, 311, 264, 71816, 11, 902, 374, 18255, 1139, 3892, 88142, 627, 29405, 488, 70407, 9352, 311, 264, 2128, 11, 902, 374, 18255, 1139, 3892, 78296, 627, 77632, 12070, 9352, 311, 264, 13941, 11, 323, 15379, 70407, 9352, 311, 264, 8448, 627, 48567, 369, 9601, 13324, 9352, 311, 264, 1912, 627, 4665, 22654, 320, 4853, 11, 71816, 11, 5099, 8, 374, 810, 31715, 304, 279, 2326, 1109, 304, 1455, 5961, 13, 42251, 279, 2326, 11, 8316, 6118, 527, 961, 315, 264, 2522, 11149, 330, 4166, 3343, 9062, 1912, 1053, 2997, 832, 477, 810, 2068, 330, 25686, 1, 1778, 439, 264, 3854, 11, 264, 71816, 11, 323, 264, 13941, 13, 578, 1912, 1053, 617, 264, 1396, 5938, 449, 1202, 6424, 477, 3158, 320, 21470, 439, 279, 220, 17, 303, 426, 18862, 783, 48635, 5856, 705, 323, 3629, 682, 1912, 3697, 10051, 264, 4279, 13272, 261, 62626, 13, 763, 279, 2326, 11, 902, 3250, 956, 1005, 279, 330, 4166, 1, 7434, 11, 1855, 3854, 11, 71816, 11, 5099, 11, 374, 26214, 49926, 11, 323, 1070, 374, 912, 2723, 311, 279, 5089, 596, 3813, 13, 1789, 3187, 11, 304, 1057, 6424, 11, 1070, 374, 264, 14114, 220, 3534, 323, 264, 19881, 454, 220, 3534, 11, 902, 527, 46305, 323, 3449, 520, 8821, 10687, 13, 1628, 11, 2533, 5089, 5219, 527, 11763, 304, 1855, 315, 279, 220, 3101, 10, 2254, 48635, 9251, 82, 11, 1070, 1436, 387, 220, 3101, 320, 269, 810, 8, 19881, 454, 220, 3534, 596, 304, 279, 2326, 13, 34863, 11, 4245, 311, 279, 1690, 48635, 9251, 18970, 388, 927, 279, 3347, 220, 914, 1667, 320, 19041, 1511, 311, 387, 927, 220, 2636, 9251, 82, 705, 1063, 9251, 82, 320, 4908, 11604, 8, 1436, 617, 1403, 19881, 454, 220, 3534, 596, 13, 128001, 128000, 69009, 97982, 648, 11, 29036, 23597, 323, 6560, 19560, 11, 1694, 10666, 279, 2978, 596, 1176, 12595, 388, 6187, 10292, 555, 4900, 71800, 627, 11439, 311, 279, 5936, 220, 19, 11, 220, 6393, 19, 8925, 315, 85196, 42099, 4900, 71800, 7079, 430, 279, 3907, 18890, 279, 1938, 315, 1202, 36330, 13, 330, 8538, 892, 4227, 358, 11472, 17054, 469, 13, 445, 13, 33826, 285, 11, 889, 374, 4762, 439, 11537, 449, 279, 3925, 315, 279, 3907, 439, 904, 893, 8599, 449, 433, 11, 311, 4007, 5370, 13003, 430, 2643, 387, 6646, 439, 459, 8475, 2457, 389, 902, 311, 18890, 264, 12595, 388, 6187, 6826, 13, 4740, 24779, 3495, 11, 17054, 33826, 285, 706, 12090, 430, 7552, 220, 1313, 1053, 387, 264, 1633, 8475, 892, 369, 1778, 264, 25960, 13, 1102, 574, 389, 7552, 220, 1313, 11, 220, 9714, 20, 11, 430, 279, 3331, 12000, 315, 26036, 12054, 264, 4121, 31692, 459, 60134, 323, 51684, 9304, 304, 3717, 449, 26036, 3907, 320, 3409, 4149, 18436, 570, 15636, 11, 7552, 220, 1313, 11, 220, 9714, 20, 374, 279, 2457, 389, 902, 279, 3907, 315, 26036, 3604, 3782, 1139, 14209, 439, 264, 1614, 15244, 1210, 128001, 128000, 3915, 29879, 46226, 11, 279, 2262, 12862, 83708, 198, 39, 12574, 511, 24677, 2191, 374, 264, 10334, 902, 706, 3719, 459, 9749, 5679, 1764, 304, 220, 1691, 267, 9478, 38171, 50701, 8198, 11, 8994, 3515, 1027, 23838, 304, 279, 220, 508, 339, 9478, 11, 4184, 311, 20650, 391, 4596, 13, 473, 12574, 511, 24677, 2191, 374, 279, 7434, 430, 264, 14880, 33297, 374, 7559, 304, 279, 4219, 315, 279, 9420, 11, 323, 279, 33975, 323, 279, 15861, 5891, 4035, 2212, 433, 11, 29123, 555, 279, 24924, 4907, 13, 473, 12574, 511, 24677, 2191, 374, 32614, 369, 32003, 279, 18254, 24654, 315, 16700, 94751, 323, 44024, 60068, 627, 2181, 706, 1027, 32971, 555, 21077, 78421, 439, 330, 64, 10457, 93430, 555, 14248, 311, 57160, 279, 27025, 315, 5270, 1, 323, 15753, 8800, 279, 1695, 11, 4359, 2269, 13992, 1274, 555, 48080, 84902, 21484, 16066, 505, 43907, 89606, 8877, 79, 3993, 627, 3671, 1322, 2767, 315, 473, 12574, 511, 24677, 2191, 198, 791, 1455, 802, 55923, 15879, 315, 11591, 74452, 24677, 2191, 527, 1766, 304, 2326, 67671, 11, 8994, 477, 8530, 1606, 315, 1268, 279, 10334, 374, 1694, 1511, 311, 57160, 279, 8792, 3560, 315, 279, 7427, 323, 1202, 21967, 520, 279, 4219, 315, 279, 15861, 13, 22395, 1884, 14248, 430, 1862, 433, 11, 279, 22798, 8857, 1101, 1862, 279, 26018, 315, 15740, 11, 10182, 2349, 11, 11499, 37608, 11, 61515, 1584, 4907, 5788, 11, 993, 33211, 892, 50971, 11, 323, 5066, 33520, 23112, 278, 5944, 439, 1664, 439, 1701, 810, 3827, 11441, 311, 3887, 872, 1866, 3495, 13, 2876, 481, 52013, 304, 11591, 74452, 24677, 2191, 2997, 15274, 45480, 11, 63912, 11, 1708, 49625, 323, 47685, 1611, 5648, 288, 627, 3671, 44796, 315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 473, 12574, 511, 24677, 2191, 198, 39, 12574, 511, 24677, 2191, 374, 13882, 6646, 439, 1694, 304, 18859, 449, 279, 12917, 315, 279, 27823, 2363, 11, 902, 374, 17037, 11928, 439, 12624, 6029, 13, 38725, 78259, 315, 11591, 74452, 24677, 2191, 2997, 512, 12, 1283, 706, 8521, 279, 9578, 7626, 11, 4998, 33055, 13, 320, 16, 66416, 220, 845, 25, 966, 340, 12, 86471, 1550, 267, 5155, 279, 9578, 389, 1202, 16665, 779, 430, 433, 2646, 649, 387, 66900, 13, 320, 21051, 7828, 220, 6849, 25, 20, 340, 12, 889, 1903, 279, 9578, 323, 68556, 433, 11, 323, 5678, 8521, 433, 5043, 1981, 320, 3957, 64, 19870, 220, 1774, 25, 972, 340, 12, 578, 7160, 1101, 802, 285, 774, 11, 323, 279, 7160, 733, 774, 1523, 11, 323, 34143, 774, 311, 813, 2035, 1405, 568, 51063, 13, 320, 36, 641, 76995, 28006, 220, 16, 25, 20, 340, 2170, 264, 15062, 12624, 10334, 11, 11591, 74452, 24677, 2191, 706, 29392, 1027, 12054, 555, 2978, 21126, 304, 20754, 13, 128001, 128000, 78139, 358, 6863, 13934, 680, 198, 40, 6863, 13934, 680, 11, 1314, 11, 706, 1027, 29704, 449, 23900, 25702, 53317, 11, 264, 4754, 71261, 311, 44531, 596, 8624, 13, 9086, 220, 16, 304, 220, 22, 1274, 449, 44531, 596, 477, 1023, 294, 1133, 3557, 11, 279, 220, 2397, 4771, 6418, 11940, 9995, 292, 4896, 11, 27713, 2637, 5333, 6439, 7636, 13, 6385, 10003, 11, 52952, 386, 42574, 11, 6439, 220, 1954, 4520, 3201, 11, 304, 2418, 395, 300, 627, 40, 6863, 13934, 680, 753, 7126, 8636, 315, 44531, 753, 8624, 323, 1077, 3389, 6691, 16654, 505, 52857, 13, 4800, 11, 279, 220, 2397, 4771, 6418, 11940, 9995, 292, 4896, 11, 27713, 2637, 5333, 706, 1027, 29704, 11937, 449, 23900, 25702, 53317, 11, 477, 386, 11487, 11, 323, 1364, 24087, 872, 25382, 5246, 1253, 387, 1077, 1866, 627, 791, 12544, 374, 11, 13934, 680, 6439, 555, 11937, 11, 902, 1053, 1304, 1077, 832, 315, 220, 20, 13, 19, 3610, 1274, 304, 279, 549, 815, 13, 5496, 449, 44531, 753, 8624, 323, 1023, 294, 1133, 3557, 1198, 323, 832, 315, 220, 4728, 11, 931, 9053, 3815, 433, 7636, 11, 4184, 311, 264, 502, 1934, 11136, 7950, 555, 279, 44531, 753, 10229, 627, 791, 1934, 11, 1054, 679, 17, 44531, 753, 31974, 46083, 323, 69356, 2476, 17989, 430, 832, 304, 8254, 1274, 449, 44531, 596, 477, 52857, 6439, 7636, 11, 323, 430, 709, 311, 4376, 315, 1884, 1274, 617, 912, 72450, 93561, 13, 7648, 527, 9191, 3278, 449, 296, 21439, 53317, 627, 49977, 753, 264, 6908, 4360, 2476, 1071, 2999, 13, 49498, 445, 19934, 11, 14561, 315, 16088, 520, 279, 3907, 315, 14972, 11, 323, 459, 6335, 389, 279, 28989, 323, 63334, 315, 44531, 753, 31974, 627, 2170, 279, 8945, 30845, 9659, 17051, 11, 810, 323, 810, 1274, 29704, 449, 44531, 753, 690, 387, 5496, 7636, 11, 7170, 1606, 814, 5268, 311, 656, 779, 11, 719, 1101, 1606, 264, 32080, 706, 8636, 11, 477, 1606, 814, 617, 2478, 477, 912, 2911, 5496, 14373, 11, 1071, 445, 19934, 11, 889, 5828, 1431, 6532, 304, 279, 502, 1934, 627, 791, 6492, 14035, 430, 44531, 753, 7194, 279, 3224, 922, 400, 1049, 7239, 824, 1060, 304, 31822, 11, 34129, 11, 323, 4443, 704, 8838, 99436, 18512, 13, 1666, 23205, 439, 430, 2853, 374, 11, 433, 5097, 220, 868, 13, 17, 3610, 55184, 74740, 11, 6118, 3070, 3697, 11, 311, 2567, 433, 505, 16448, 1524, 5190, 627, 791, 4443, 5536, 389, 5496, 7636, 449, 44531, 753, 11, 52857, 11, 477, 1524, 386, 11487, 1093, 13934, 680, 753, 11, 649, 387, 22520, 7863, 311, 5496, 449, 264, 93561, 13, 44430, 889, 3974, 7636, 617, 264, 1790, 5190, 5326, 315, 55063, 1022, 11, 16066, 3958, 17503, 11, 7554, 24099, 323, 10896, 37256, 11, 323, 52875, 1113, 1023, 6593, 4787, 1093, 4851, 8624, 477, 20335, 13, 55106, 430, 753, 539, 1193, 28856, 311, 1884, 1274, 11, 719, 433, 436, 759, 1441, 709, 7194, 11, 2288, 627, 2170, 13934, 680, 11937, 11352, 994, 1364, 10434, 439, 459, 55184, 93561, 311, 1077, 6691, 11, 5496, 7636, 706, 264, 3552, 315, 15325, 7194, 323, 37064, 627, 4599, 1364, 24895, 1077, 6691, 311, 279, 6201, 832, 1938, 11, 1054, 1820, 3371, 261, 1071, 11, 3451, 7927, 6691, 374, 1648, 927, 7788, 77, 13, 3005, 706, 912, 3300, 92264, 13934, 680, 32230, 13, 1054, 40, 7111, 1203, 927, 279, 3347, 1403, 1667, 315, 7576, 11, 323, 1766, 856, 6691, 1047, 29320, 291, 11937, 49216, 7184, 11, 1364, 1071, 11, 1054, 40, 13085, 856, 1866, 3938, 13, 358, 3449, 449, 856, 14065, 389, 6740, 13, 358, 1390, 311, 3137, 311, 1461, 922, 682, 13124, 315, 2574, 358, 649, 2231, 304, 2035, 779, 856, 9191, 10003, 649, 3094, 304, 323, 1935, 927, 39075, 49216, 21365, 11084, 9293, 374, 9200, 369, 21739, 449, 44531, 753, 11, 719, 5423, 369, 1884, 889, 3974, 7636, 11, 1071, 38243, 4323, 7420, 11, 10388, 8446, 9640, 369, 279, 44531, 753, 10229, 627, 53886, 323, 96968, 38864, 1093, 11084, 50353, 11, 2410, 315, 14065, 2955, 811, 11, 323, 11503, 922, 889, 690, 387, 961, 315, 279, 2512, 2128, 2011, 387, 20669, 13, 2290, 315, 1521, 11429, 374, 24729, 11, 4323, 7420, 11497, 11, 719, 814, 2011, 387, 20669, 627, 33672, 2216, 1390, 311, 2019, 11, 3451, 8586, 527, 279, 1403, 477, 2380, 31854, 369, 757, 13, 358, 7070, 1093, 311, 733, 311, 39061, 5496, 439, 5246, 439, 3284, 23189, 477, 11, 3451, 5519, 358, 1390, 311, 4822, 304, 856, 3838, 439, 1317, 439, 3284, 20837, 364, 15546, 21935, 856, 19123, 45258, 89874, 8142, 13934, 680, 23924, 645, 449, 1884, 11429, 11, 1364, 753, 4560, 311, 10737, 779, 1364, 649, 3136, 311, 3974, 555, 11937, 11, 29235, 11, 369, 439, 1317, 439, 3284, 13, 2030, 433, 753, 264, 8815, 13, 3005, 14238, 66697, 389, 264, 4251, 4580, 13, 3005, 7620, 37256, 1139, 1077, 7941, 4641, 627, 21365, 26411, 7784, 1431, 24931, 16157, 11, 3582, 25, 1115, 2046, 11, 1364, 13942, 264, 10896, 753, 18101, 627, 37353, 680, 374, 13126, 279, 7782, 315, 459, 17035, 3215, 1364, 649, 10051, 311, 5225, 13147, 3600, 304, 1162, 1364, 14035, 11937, 15902, 477, 5675, 13, 3005, 753, 1101, 7422, 315, 11486, 1077, 3838, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 323, 7366, 1139, 10195, 11983, 3345, 311, 1077, 10003, 11, 52952, 386, 42574, 11, 6832, 3070, 6439, 304, 2418, 395, 300, 11, 27713, 13, 30978, 690, 387, 2561, 1070, 11, 1364, 16388, 11, 1606, 1364, 753, 2736, 7982, 18290, 922, 1077, 1866, 10043, 13, 1054, 3947, 527, 3115, 1457, 11, 994, 358, 4805, 387, 11, 1093, 11, 3451, 9241, 1097, 358, 2133, 45258, 89874, 791, 44531, 753, 10229, 706, 3549, 459, 2930, 3674, 4009, 2663, 8927, 57, 50586, 11, 304, 459, 5149, 311, 3493, 1862, 11, 5423, 369, 1884, 889, 1505, 433, 11292, 311, 636, 704, 369, 304, 29145, 1912, 1862, 16659, 627, 11439, 311, 445, 19934, 11, 87799, 1063, 45125, 315, 8198, 1198, 323, 279, 8198, 315, 44531, 753, 323, 52857, 706, 1027, 35711, 779, 3117, 1198, 279, 7187, 315, 44531, 753, 323, 52857, 96460, 374, 2133, 311, 3139, 12207, 927, 279, 1828, 13515, 13, 1628, 1606, 315, 5270, 753, 10223, 63334, 11, 810, 323, 810, 315, 1884, 1274, 690, 387, 5496, 7636, 627, 93673, 757, 430, 374, 832, 315, 279, 1401, 4819, 2133, 4741, 11, 505, 264, 586, 4947, 51882, 2476, 568, 1071, 13, 1054, 3923, 690, 279, 2512, 2427, 2299, 5070, 387, 12671, 198, 5519, 499, 3974, 7636, 30, 3234, 499, 11196, 922, 1148, 499, 3358, 656, 422, 499, 617, 2890, 4819, 30, 25672, 603, 389, 5690, 627, 3648, 44531, 596, 13186, 1053, 2349, 23842, 369, 11990, 198, 34, 11967, 5623, 17888, 288, 44531, 596, 304, 24548, 198, 45437, 12992, 44531, 596, 3495, 11006, 128001, 128000, 2170, 449, 1023, 40418, 11849, 43419, 19647, 11, 279, 1972, 12675, 5064, 2011, 387, 264, 961, 315, 28118, 4819, 23343, 311, 10977, 323, 279, 4676, 13, 14298, 82, 323, 9919, 11, 439, 1664, 439, 37100, 26006, 11, 617, 12434, 25949, 323, 11, 449, 7982, 17985, 315, 4363, 1005, 4819, 323, 25793, 11, 279, 586, 7612, 2225, 279, 586, 323, 879, 7962, 12816, 311, 51696, 311, 2686, 1521, 5435, 13, 5492, 15637, 374, 1101, 6646, 555, 1690, 304, 264, 26623, 8396, 311, 387, 264, 1314, 719, 11, 369, 1690, 315, 279, 8009, 323, 80947, 11, 420, 9221, 459, 50204, 8499, 8063, 13, 8976, 12675, 15749, 527, 17371, 315, 1521, 4819, 11, 2737, 16036, 35908, 75, 11, 323, 527, 24919, 5627, 311, 1520, 17047, 323, 10977, 311, 2686, 1124, 13, 1115, 3857, 5825, 264, 10015, 17219, 311, 1063, 315, 1521, 3062, 4819, 13176, 279, 1972, 12675, 5064, 13, 128001, 128000, 38, 27248, 315, 4488, 198, 791, 44468, 10771, 311, 4488, 11, 1101, 3967, 439, 578, 44468, 315, 4488, 11, 374, 832, 315, 279, 3116, 43553, 480, 99098, 13, 1102, 574, 1455, 4461, 279, 30758, 315, 279, 3116, 311, 387, 5439, 13, 99394, 11383, 16430, 433, 574, 5439, 1990, 220, 2031, 2152, 323, 220, 1954, 2152, 11, 555, 459, 9987, 3229, 627, 644, 4488, 220, 24, 25, 16, 1174, 10811, 2795, 311, 813, 20723, 512, 12, 330, 10351, 1570, 358, 2019, 30449, 499, 11, 3011, 1070, 387, 1063, 315, 1124, 430, 2559, 1618, 11, 902, 4985, 539, 12945, 315, 4648, 11, 12222, 814, 617, 3970, 279, 26135, 315, 4359, 2586, 449, 2410, 10246, 1114, 1628, 994, 568, 574, 8208, 13544, 1139, 279, 1648, 11, 1070, 3782, 832, 4401, 11, 323, 22095, 839, 311, 1461, 11, 323, 4691, 1461, 11, 7839, 11060, 11, 1148, 4985, 358, 656, 430, 358, 1253, 24683, 35825, 2324, 5380, 972, 1628, 10811, 1071, 30449, 1461, 11, 8595, 1652, 60244, 34223, 757, 1695, 30, 1070, 374, 7000, 1695, 719, 832, 11, 430, 374, 11, 4359, 627, 7412, 100104, 315, 4488, 198, 9126, 374, 5115, 5199, 304, 8830, 279, 1023, 342, 99098, 304, 279, 53640, 43194, 1606, 433, 374, 1071, 430, 4488, 330, 496, 2234, 279, 92732, 1, 602, 1770, 13, 574, 279, 1176, 311, 4546, 3871, 2019, 826, 11, 45572, 323, 7493, 315, 10811, 311, 1893, 264, 44468, 13, 578, 26431, 315, 420, 374, 430, 4488, 374, 8617, 9193, 5199, 449, 24886, 311, 8830, 19475, 11, 25459, 323, 3842, 13, 1789, 3187, 11, 4488, 574, 5439, 304, 220, 2031, 9827, 20444, 19475, 574, 5439, 304, 220, 1490, 12, 5313, 9827, 13, 2684, 527, 8617, 220, 17, 46941, 26018, 369, 439, 311, 1405, 279, 42582, 3446, 4131, 505, 304, 19475, 13, 5629, 374, 279, 220, 17, 2592, 10334, 902, 5415, 430, 279, 42582, 315, 19475, 374, 14592, 505, 4488, 323, 2500, 2592, 11, 1229, 13, 10657, 374, 279, 220, 19, 2592, 10334, 902, 5415, 430, 279, 42582, 315, 19475, 374, 14592, 505, 2574, 5016, 311, 19475, 11, 2574, 505, 279, 42582, 315, 25459, 11, 4488, 11, 323, 420, 1023, 2592, 1229, 13, 763, 2225, 315, 1521, 18726, 279, 42582, 315, 4488, 374, 264, 96531, 7216, 449, 24886, 311, 8830, 19475, 13, 1115, 10187, 837, 449, 279, 1023, 1403, 342, 99098, 11, 8051, 3842, 374, 264, 2697, 810, 57216, 320, 9991, 13, 279, 86848, 258, 328, 43216, 4390, 12, 432, 3924, 13, 480, 28346, 11, 4488, 25, 362, 73544, 389, 5414, 5345, 2508, 369, 279, 11511, 320, 41251, 55286, 25, 468, 76, 13, 426, 13, 469, 261, 14170, 598, 11, 220, 2550, 18, 340, 12, 650, 13, 16844, 11, 578, 72466, 315, 279, 44468, 81578, 320, 40672, 25, 7553, 26064, 276, 612, 3623, 2637, 220, 6280, 18, 340, 12, 423, 1345, 13, 9259, 11, 3842, 4315, 279, 480, 99098, 320, 6349, 39576, 25, 5033, 91201, 12598, 371, 676, 11, 220, 2550, 17, 8, 128001, 128000, 8142, 904, 3169, 315, 5679, 649, 3440, 11, 1063, 58245, 527, 810, 38097, 311, 8951, 1109, 3885, 13, 763, 2144, 11, 1063, 12875, 527, 810, 4461, 1109, 3885, 311, 5622, 12966, 627, 791, 41991, 315, 31974, 7935, 17989, 430, 810, 1109, 220, 19, 13, 22, 3610, 1274, 527, 78549, 555, 12875, 1475, 1060, 13, 5046, 1884, 11, 220, 508, 3346, 1397, 6593, 6666, 627, 644, 264, 220, 868, 4771, 4007, 320, 4468, 24, 12, 2550, 19, 8, 264, 2860, 315, 220, 14815, 16779, 1051, 5068, 439, 264, 1121, 315, 15319, 505, 5679, 8951, 304, 279, 3723, 4273, 13, 17331, 1202, 3495, 11, 279, 40409, 20276, 264, 1160, 315, 279, 12875, 1455, 8647, 369, 3823, 71305, 13, 2435, 527, 439, 11263, 512, 791, 4007, 1766, 430, 1455, 5679, 1481, 635, 14228, 16779, 7077, 311, 2911, 13, 2030, 11, 4184, 311, 279, 40409, 1070, 527 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7504, 2911, 320, 438, 12884, 8, 649, 1935, 4018, 1523, 279, 5326, 315, 264, 5679, 3440, 505, 3070, 26159, 439, 1664, 439, 12875, 814, 527, 539, 11537, 449, 512, 12, 8161, 956, 5603, 459, 50383, 5679, 627, 12, 2746, 459, 50383, 5679, 20414, 499, 11, 4822, 11633, 1752, 627, 12, 8161, 956, 1629, 505, 264, 5679, 477, 46789, 627, 12, 2746, 264, 5679, 85769, 499, 1523, 11, 6638, 1139, 264, 5041, 323, 4822, 2103, 627, 6830, 1019, 3411, 6089, 1139, 264, 5679, 596, 6548, 627, 12, 22586, 264, 5679, 7636, 430, 374, 21811, 11, 12459, 477, 4737, 2512, 315, 57725, 627, 8288, 295, 264, 5679, 1518, 323, 58387, 499, 1603, 6896, 1303, 433, 627, 12, 8161, 956, 1514, 449, 264, 5679, 7389, 1070, 374, 459, 6822, 3118, 627, 12, 2746, 264, 5679, 49433, 499, 11, 3371, 459, 6822, 7214, 627, 4071, 11, 279, 40409, 596, 1934, 2795, 1455, 8951, 527, 5471, 481, 304, 2380, 5627, 512, 16, 13, 330, 14120, 323, 586, 6873, 13, 14588, 7980, 11, 1555, 6300, 6727, 11, 3674, 2065, 11, 4967, 11, 2512, 11, 323, 6514, 315, 264, 5679, 11, 649, 8108, 279, 29736, 315, 41377, 264, 5679, 430, 690, 9778, 23556, 13, 19960, 323, 653, 2203, 43995, 36317, 818, 332, 12616, 12875, 527, 810, 4461, 311, 23556, 1109, 527, 8954, 323, 993, 43995, 90410, 332, 12616, 12875, 10246, 17, 13, 330, 42515, 2585, 520, 279, 4029, 2237, 13, 21995, 4565, 7620, 1288, 387, 7396, 11, 323, 7016, 369, 58499, 11660, 477, 43510, 12875, 1288, 387, 2773, 56099, 660, 323, 45421, 77849, 13, 1789, 3187, 11, 304, 420, 1934, 11, 220, 966, 4, 315, 5679, 1481, 635, 14228, 16779, 19543, 505, 5315, 315, 13234, 12875, 430, 1051, 1949, 69353, 1022, 279, 6506, 596, 3424, 10246, 18, 13, 330, 33, 635, 13122, 13, 40388, 315, 27344, 9045, 7612, 13241, 22156, 369, 5679, 49433, 13, 14588, 49433, 1288, 387, 5068, 439, 2631, 555, 2254, 477, 1614, 89864, 11, 323, 6821, 315, 1778, 24455, 1288, 2997, 2038, 922, 279, 13463, 315, 279, 23556, 26, 15637, 11, 28875, 11, 1877, 11, 4325, 11, 993, 352, 90410, 29051, 2704, 11, 323, 3925, 315, 4972, 40307, 315, 279, 10065, 26, 323, 279, 7138, 315, 59456, 1603, 279, 23556, 10672, 10246, 74558, 7510, 1550, 1304, 832, 3062, 5296, 922, 1202, 1160, 25, 578, 13122, 315, 279, 28875, 574, 44122, 13, 2684, 374, 912, 1648, 311, 8417, 422, 279, 22654, 315, 279, 28875, 574, 4495, 13, 7429, 11, 1070, 374, 912, 1648, 311, 10356, 422, 279, 5679, 574, 264, 10748, 91842, 477, 264, 9709, 28875, 627, 13857, 220, 679, 16, 76780, 60643, 7972, 11, 4953, 13, 2052, 3268, 4694, 13, 1115, 3769, 1253, 539, 387, 4756, 11, 13195, 11, 59624, 11, 477, 74494, 13, 128001, 128000, 70211, 12369, 612, 81961, 11346, 198, 20397, 279, 4279, 3778, 98431, 11, 1070, 374, 912, 14595, 5603, 994, 433, 4131, 311, 15155, 36105, 13, 12361, 11, 9404, 617, 8040, 927, 279, 24552, 389, 279, 15481, 5990, 13239, 304, 264, 49068, 315, 35869, 323, 12823, 13, 1442, 1070, 1051, 311, 387, 264, 653, 7922, 7057, 304, 15155, 17677, 11, 4869, 11, 433, 1053, 617, 311, 387, 279, 50549, 315, 7878, 11, 36899, 14293, 13, 4452, 11, 4245, 311, 279, 20057, 315, 10182, 323, 54242, 304, 15704, 11, 1524, 279, 2561, 14293, 5694, 527, 2204, 505, 3158, 311, 3158, 627, 32, 1695, 3187, 315, 279, 15481, 2191, 315, 9404, 323, 14293, 649, 387, 1766, 304, 279, 12062, 1990, 18671, 323, 18561, 15155, 17677, 13, 24191, 315, 18561, 10173, 374, 28160, 555, 1202, 37843, 311, 279, 38785, 15379, 11, 13239, 304, 1202, 54180, 389, 7878, 7795, 1778, 439, 75057, 323, 20827, 18668, 13, 763, 5369, 11, 1202, 37492, 315, 53405, 706, 9057, 279, 17677, 1742, 311, 387, 30673, 323, 35388, 11, 39686, 14293, 1778, 439, 41613, 323, 33213, 5707, 13, 1115, 1742, 706, 1524, 1027, 25660, 555, 279, 15155, 3109, 439, 279, 1054, 44, 3671, 618, 33561, 81961, 113068, 791, 18671, 1742, 4869, 11, 41800, 279, 18561, 54180, 389, 7795, 449, 25309, 11, 36167, 11, 323, 32720, 27994, 902, 527, 810, 31368, 2561, 304, 279, 5654, 13, 763, 5369, 11, 279, 10411, 5829, 14432, 323, 12932, 4856, 1109, 33213, 5707, 439, 433, 753, 68366, 17677, 8834, 13, 578, 1121, 374, 264, 14135, 430, 374, 44922, 323, 4851, 1291, 1109, 279, 18561, 41021, 13, 1102, 374, 5922, 45391, 430, 1690, 315, 279, 502, 18845, 304, 15155, 36105, 3970, 304, 5270, 527, 3604, 961, 315, 420, 5603, 13, 54463, 36726, 11, 264, 94760, 20228, 12269, 902, 34744, 389, 279, 31085, 315, 70181, 288, 311, 8356, 1202, 29683, 12932, 1918, 11, 323, 1499, 16985, 11, 264, 3185, 12269, 1903, 505, 14095, 15496, 11, 617, 1317, 1027, 1925, 267, 954, 315, 279, 18671, 15155, 10173, 627, 20397, 279, 23354, 315, 1521, 27927, 26863, 311, 420, 3224, 753, 10960, 6237, 11, 1455, 9053, 2103, 22712, 15155, 3691, 449, 37547, 323, 23317, 13, 1628, 1418, 37547, 1587, 1514, 459, 3062, 3560, 304, 15155, 36105, 11, 433, 374, 1790, 810, 33045, 1109, 1120, 88010, 323, 13339, 46618, 13, 2582, 13028, 11, 369, 3187, 11, 374, 20228, 35831, 37547, 430, 374, 3970, 3629, 10235, 439, 264, 3185, 12269, 311, 25309, 477, 5320, 278, 1418, 39719, 511, 14946, 527, 39834, 63811, 81402, 3629, 3970, 51249, 304, 4382, 91070, 430, 11415, 872, 61353, 13827, 434, 13, 7570, 4851, 1291, 3347, 300, 527, 3629, 35526, 449, 810, 1109, 1120, 90215, 5169, 19737, 13, 26379, 315, 420, 527, 279, 18671, 69621, 426, 1640, 77, 2423, 19737, 11, 264, 13339, 88, 20955, 315, 41613, 323, 12932, 11, 323, 279, 29057, 2204, 44885, 78, 11, 264, 3177, 20955, 315, 38525, 68186, 11, 31735, 11, 33213, 5707, 11, 323, 34697, 31049, 627, 24901, 11, 72513, 1514, 459, 3062, 961, 315, 279, 15155, 10173, 13, 30568, 69858, 323, 45712, 309, 63848, 11, 2225, 315, 902, 6782, 10437, 6901, 44036, 8035, 606, 5266, 826, 11, 527, 279, 1455, 13882, 3967, 304, 5270, 3582, 3885, 617, 6051, 18661, 6666, 13, 1789, 3187, 11, 18316, 14357, 527, 4528, 311, 10054, 12932, 719, 1782, 304, 430, 814, 527, 10434, 304, 264, 18768, 2269, 43340, 1614, 902, 3135, 304, 264, 12932, 1291, 11, 61405, 10651, 13, 1789, 279, 810, 2890, 66666, 11, 264, 16109, 6388, 2643, 387 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15236, 13, 9393, 315, 279, 19821, 315, 14403, 477, 12932, 11, 279, 1620, 10651, 374, 1080, 10642, 323, 810, 64568, 483, 13, 1952, 279, 1023, 842, 315, 279, 43849, 20326, 527, 1884, 1903, 449, 13378, 477, 13200, 13, 1901, 370, 351, 75, 6473, 374, 459, 19151, 16973, 569, 3629, 3115, 88340, 449, 48449, 6181, 477, 65393, 902, 374, 3629, 10434, 449, 76203, 323, 15036, 1169, 10462, 11, 3177, 14095, 42880, 8443, 627, 1687, 3987, 420, 24131, 706, 9087, 499, 311, 2731, 3619, 279, 20057, 315, 15155, 36105, 13, 5046, 3388, 11, 279, 1888, 6975, 374, 27332, 1555, 3217, 779, 584, 15253, 499, 311, 1005, 1057, 2816, 323, 1505, 279, 15155, 10960, 430, 706, 1027, 8748, 369, 499, 13, 28326, 263, 30168, 6491, 4999, 2677, 5810, 311, 1505, 15155, 15926, 304, 19051, 11, 27438, 128001, 128000, 59633, 287, 68954, 15264, 612, 22208, 3206, 55189, 198, 37707, 1647, 55189, 52236, 706, 1027, 389, 279, 10205, 304, 3293, 1667, 11, 323, 433, 44814, 304, 3544, 961, 505, 279, 2162, 753, 24494, 1887, 13, 2468, 1176, 34522, 11, 6617, 24494, 6067, 1253, 2873, 279, 1890, 439, 1884, 430, 617, 1027, 1511, 21676, 369, 1667, 13, 4452, 11, 1070, 527, 1063, 1401, 12062, 430, 1304, 3432, 753, 10632, 810, 47281, 311, 12782, 1647, 55189, 86765, 13, 1666, 264, 2162, 45825, 11, 433, 374, 3062, 311, 3619, 24494, 6067, 11, 1148, 11384, 21503, 45612, 311, 387, 3118, 304, 279, 2162, 11, 323, 1268, 311, 5471, 433, 627, 644, 264, 94013, 11, 21503, 45612, 304, 279, 2162, 649, 387, 30706, 311, 279, 2768, 4279, 15082, 512, 12, 11450, 753, 15316, 527, 810, 3805, 2442, 492, 13, 5492, 23840, 527, 8010, 315, 279, 2853, 315, 24494, 10165, 88, 10632, 323, 1935, 7504, 311, 26418, 709, 11276, 11, 14365, 323, 1023, 5789, 315, 3805, 3502, 85846, 367, 13, 53123, 11, 1070, 374, 2753, 7878, 3805, 5108, 1139, 264, 2162, 323, 539, 439, 1690, 44014, 369, 51451, 477, 95869, 3805, 311, 5387, 433, 13, 763, 5369, 11, 994, 9626, 2492, 323, 70049, 527, 6917, 2111, 369, 315, 279, 24463, 4460, 311, 8395, 40373, 6724, 11, 12782, 1647, 55189, 374, 9124, 627, 12, 47198, 617, 6319, 502, 11, 1579, 5557, 24494, 34802, 449, 7191, 15374, 311, 1520, 603, 3665, 3300, 11, 78548, 5933, 5070, 323, 18979, 12434, 25793, 13, 4452, 11, 279, 502, 28875, 315, 1579, 15374, 6962, 323, 5707, 9626, 2492, 12, 994, 10594, 291, 1139, 6484, 90151, 1344, 1157, 12, 3629, 656, 539, 2804, 520, 459, 54767, 2237, 13, 578, 6811, 304, 5178, 11705, 4787, 430, 2187, 21503, 45612, 311, 3810, 5496, 12908, 810, 6847, 627, 791, 3485, 4787, 1486, 704, 264, 1396, 315, 9191, 11, 14529, 5435, 430, 2103, 1397, 18468, 555, 264, 6721, 2162, 45825, 439, 1664, 439, 27358, 304, 2015, 311, 5471, 21503, 45612, 505, 30770, 1139, 279, 3838, 13, 4314, 2997, 20727, 477, 39436, 1113, 1344, 361, 96474, 11, 779, 354, 1977, 5352, 11, 35098, 272, 26330, 279, 1522, 351, 25754, 11, 323, 10065, 477, 12224, 96221, 54292, 287, 90151, 1344, 1157, 627, 3923, 649, 499, 3371, 701, 2162, 26767, 8403, 922, 27252, 1521, 5435, 505, 40986, 30, 48388, 964, 40912, 430, 24494, 6067, 387, 33519, 5352, 389, 459, 9974, 8197, 555, 264, 15337, 66433, 31072, 323, 430, 38094, 36371, 59403, 1157, 387, 26126, 555, 264, 36542, 82548, 3520, 37326, 10653, 311, 6106, 279, 4553, 1887, 374, 10565, 10489, 323, 21676, 627, 9032, 3769, 3984, 555, 279, 10211, 5987, 627, 3792, 311, 5492, 67046, 24780, 5513, 3662, 128001, 128000, 1016, 1244, 6901, 20229, 315, 279, 1917, 25, 279, 4033, 2592, 369, 20229, 389, 279, 358, 5576, 45, 3816, 1796, 627, 3511, 23167, 25, 21820, 87, 3279, 78210, 11, 220, 1049, 15, 627, 2232, 37043, 11, 79533, 660, 21126, 11, 220, 24571, 12086, 13, 12745, 45543, 11, 14370, 627, 2028, 16195, 8286, 9477, 31550, 21699, 9606, 3508, 69918, 304, 279, 8545, 11, 9200, 11, 52356, 477, 20134, 323, 5764, 8554, 389, 22654, 11, 2134, 323, 7187, 11, 72546, 11, 18208, 11, 29711, 11, 11811, 323, 15407, 13, 7429, 5764, 15182, 315, 4827, 5326, 9606, 13, 128001, 128000, 7165, 287, 220, 16, 482, 220, 508, 315, 220, 914, 5070, 304, 473, 23242, 512, 16, 13, 47966, 26403, 505, 15580, 17629, 42386, 198, 51697, 61814, 2957, 449, 469, 621, 64, 1071, 2380, 315, 279, 220, 3174, 10099, 3287, 956, 18167, 5745, 11673, 11, 4245, 304, 3544, 961, 311, 8811, 83664, 11, 719, 315, 279, 9861, 220, 1987, 11, 682, 12515, 17, 13, 52347, 369, 91801, 47966, 304, 6921, 320, 2198, 15836, 340, 28487, 438, 4298, 11, 21571, 11, 7427, 198, 791, 9131, 315, 6969, 15836, 323, 72398, 337, 921, 2192, 374, 311, 5471, 323, 48839, 10065, 16066, 304, 6921, 323, 311, 69730, 25917, 922, 10099, 1555, 6873, 13, 1226, 12515, 18, 13, 1611, 45033, 1505, 78501, 27928, 323, 274, 1788, 307, 4787, 304, 10065, 54680, 1162, 198, 49, 55441, 323, 18638, 25896, 1051, 9621, 1234, 872, 6930, 11, 323, 14373, 12690, 1047, 1027, 37779, 315, 54842, 1306, 279, 27928, 39719, 675, 291, 1124, 4335, 13, 12515, 19, 13, 3234, 19059, 315, 8961, 10099, 31589, 505, 17629, 12764, 198, 60489, 304, 19001, 14689, 2019, 814, 3077, 7108, 810, 1109, 220, 1041, 8961, 10099, 505, 264, 15580, 17629, 12764, 439, 961, 315, 459, 10065, 54680, 8990, 13, 12515, 20, 13, 23591, 304, 3297, 10020, 16506, 11, 3341, 8950, 473, 23242, 8886, 12261, 77, 32745, 24583, 198, 3648, 4356, 596, 10099, 11, 505, 10913, 5657, 27928, 311, 17629, 23756, 12875, 11, 617, 832, 315, 279, 3363, 596, 1455, 60610, 20857, 47338, 5315, 11, 449, 9214, 315, 27762, 15879, 12515, 21, 13, 21594, 27928, 2815, 304, 10065, 54680, 1162, 26, 220, 1644, 1023, 10099, 45433, 198, 3947, 1051, 220, 1419, 1023, 27928, 11, 11888, 71932, 323, 459, 453, 79, 17544, 430, 1051, 45433, 505, 279, 8961, 389, 9305, 9336, 9728, 304, 26551, 11, 42970, 13, 16431, 328, 2119, 391, 822, 1071, 13, 12515, 22, 13, 25320, 369, 47966, 482, 59814, 198, 29815, 304, 7984, 7082, 11, 25320, 369, 47966, 320, 50, 1718, 14320, 15036, 103495, 258, 3841, 8, 24400, 389, 46482, 2191, 323, 10065, 3268, 13, 9303, 21343, 2997, 68124, 22670, 11, 7294, 2902, 27421, 68353, 11, 323, 279, 71075, 12515, 23, 13, 5659, 3341, 8950, 473 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23242, 2057, 921, 82984, 93066, 1628, 35027, 9491, 2053, 11, 1556, 62006, 1789, 578, 21995, 90590, 35134, 198, 4071, 1193, 409, 93493, 7396, 12551, 29039, 596, 1401, 5915, 315, 6724, 49636, 279, 15580, 1773, 68668, 1841, 38132, 11, 1418, 3885, 15243, 922, 7649, 704, 27548, 477, 1343, 4522, 1124, 12515, 24, 13, 52186, 20458, 311, 471, 315, 10099, 11, 11913, 5718, 198, 11874, 12875, 323, 264, 15580, 87370, 994, 3314, 10289, 12457, 264, 2778, 7236, 389, 279, 12458, 315, 52186, 6, 82340, 2011, 387, 6052, 11, 16076, 403, 4409, 20819, 12515, 605, 13, 99688, 369, 473, 23242, 198, 39, 411, 38253, 11, 17467, 11, 7427, 198, 32, 2536, 28926, 7471, 9749, 311, 3493, 2038, 323, 13627, 315, 6484, 7016, 311, 6144, 36665, 11, 52356, 11, 323, 51533, 27928, 1555, 264, 26202, 4009, 13, 12515, 806, 13, 34392, 80354, 323, 36673, 198, 84068, 24551, 383, 11, 1561, 17340, 198, 1110, 53999, 36762, 5211, 389, 279, 17432, 323, 31018, 315, 3312, 1572, 505, 279, 5929, 34392, 11964, 483, 14693, 2508, 5907, 13, 12515, 6888, 25, 46945, 16607, 198, 717, 13, 34392, 1162, 9711, 37973, 389, 10065, 23460, 304, 4892, 28972, 198, 32, 3293, 1162, 315, 7510, 304, 12649, 64069, 323, 73036, 31276, 9455, 220, 1484, 5710, 27928, 304, 264, 893, 596, 25502, 323, 98306, 459, 5217, 220, 10895, 3974, 6305, 12515, 1032, 13, 34392, 45965, 763, 11344, 12369, 29625, 74105, 6401, 52347, 82, 198, 1383, 832, 16430, 11, 220, 6330, 11, 931, 3778, 27928, 6222, 420, 25382, 1566, 1060, 11, 13696, 709, 304, 279, 3823, 3691, 8957, 13, 12515, 975, 13, 34392, 10658, 22020, 40856, 11249, 198, 1548, 53572, 813, 19689, 323, 13272, 11, 2064, 7596, 520, 10065, 4197, 275, 1705, 11, 323, 1243, 44727, 433, 304, 279, 2010, 13, 12515, 868, 13, 7327, 10229, 315, 21995, 27773, 91150, 198, 34, 6713, 15717, 53767, 11, 13174, 11, 7427, 198, 5987, 26484, 3697, 617, 17226, 12659, 719, 4510, 430, 10099, 5030, 11, 323, 779, 656, 10065, 70909, 12135, 13, 2435, 3619, 430, 10065, 7865, 50184, 649, 1520, 10299, 323, 12515, 845, 13, 735, 830, 278, 21947, 21995, 17236, 320, 38, 90131, 340, 2803, 537, 14559, 1174, 25431, 198, 42515, 66187, 304, 735, 830, 278, 21947, 374, 1057, 6156, 4747, 13, 735, 830, 278, 21947, 21995, 17236, 374, 264, 9879, 18341, 10065, 23693, 11, 12514, 311, 30598, 369, 279, 23460, 315, 279, 12515, 1114, 13, 64794, 1789, 47966, 198, 34, 1152, 10551, 11, 29822, 11, 7427, 198, 63230, 88, 1789, 47966, 320, 44, 3711, 8, 13919, 430, 2536, 70095, 10099, 527, 6348, 8319, 481, 7931, 889, 617, 57323, 5199, 12034, 323, 16472, 3268, 11, 2737, 279, 1314, 311, 3974, 323, 12515, 972, 13, 4497, 36262, 10032, 311, 1456, 15580, 13339, 304, 15508, 315, 26681, 198, 49852, 374, 279, 8706, 63661, 315, 33654, 596, 15580, 13339, 11, 8272, 555, 9822, 323, 30221, 11, 1364, 1071, 13, 7008, 35990, 922, 220, 1032, 11, 2636, 18767, 52021, 315, 15580, 13339, 12515, 777, 13, 4497, 1109, 220, 1041, 10099, 31589, 505, 55600, 556, 2162, 198, 2181, 596, 81206, 311, 1518, 1778, 264, 3544, 1396, 315, 10099, 430, 527, 1120, 28495, 369, 701, 6913, 76500, 11, 1778, 439, 3691, 323, 3090, 1359, 1071, 386, 7454, 13, 12515, 508, 13, 2360, 432, 536, 78, 320, 49137, 340, 42985, 2630, 63911, 11, 8494, 198, 2822, 432, 536, 78, 706, 1027, 47338, 279, 3109, 2533, 6664, 220, 1049, 19, 311, 6056, 2860, 50967, 315, 420, 28128, 6680, 10775, 304, 4987, 8494, 13, 24191, 315, 2360, 12515, 7165, 287, 220, 16, 482, 220, 508, 315, 220, 914, 198, 91, 9479, 5874, 128001, 128000, 11787, 34998, 12, 18, 10062, 11099, 35467, 40085, 33969, 14592, 505, 3691, 8336, 1023, 1109, 7795, 439, 7524, 439, 279, 6305, 430, 527, 14592, 505, 7795, 30, 763, 264, 3293, 3477, 304, 279, 10139, 315, 42239, 307, 8483, 11, 12074, 505, 19313, 3314, 3907, 743, 704, 311, 8720, 279, 12624, 828, 584, 617, 2561, 311, 4320, 430, 3488, 627, 791, 3477, 4652, 555, 9641, 426, 13, 29888, 11, 26035, 386, 13, 4241, 1215, 323, 62189, 1800, 64, 12639, 2398, 88, 574, 961, 315, 264, 95868, 4101, 59547, 9017, 25607, 502, 68700, 323, 19588, 454, 91748, 11811, 369, 279, 6514, 315, 73151, 4512, 57565, 19338, 627, 35656, 304, 279, 2890, 7720, 315, 34998, 12, 18, 53188, 3711, 99618, 505, 62057, 5848, 7978, 389, 73778, 763, 12059, 304, 279, 220, 4468, 15, 82, 430, 10815, 11293, 7969, 315, 95736, 532, 4225, 277, 407, 320, 5807, 1636, 449, 7969, 4315, 11104, 22673, 8, 311, 264, 1579, 34625, 23730, 315, 7795, 72286, 34998, 12, 18, 53188, 3711, 13, 13266, 7978, 617, 85747, 11758, 315, 3885, 19969, 311, 75073, 279, 6372, 315, 34998, 12, 18, 53188, 3711, 389, 41713, 8624, 323, 1202, 5326, 9547, 627, 91, 791, 34998, 12, 18, 10062, 11099, 35467, 40085, 13935, 320, 6459, 3711, 8, 14747, 38970, 627, 78435, 12, 18, 304, 279, 10173, 198, 65641, 72286, 8336, 315, 34998, 12, 18, 53188, 3711, 527, 384, 17038, 391, 16985, 12052, 292, 13935, 11, 4733, 437, 391, 16985, 12052, 292, 13935, 323, 4733, 437, 1494, 327, 64, 12052, 292, 13935, 13, 4314, 40085, 33969, 649, 387, 1766, 304, 43226, 33690, 323, 15657, 1778, 439, 41420, 11, 34330, 12831, 323, 274, 569, 1572, 627, 55747, 72286, 8336, 315, 34998, 12, 18, 53188, 3711, 527, 8451, 2922, 258, 17648, 292, 13935, 323, 357, 686, 307, 14338, 13935, 13, 25737, 2922, 258, 17648, 292, 13935, 374, 459, 7718, 40085, 13935, 13, 1102, 4250, 387, 92106, 304, 279, 2547, 11, 779, 433, 374, 5995, 311, 636, 433, 505, 34625, 8336, 11, 1778, 439, 1344, 710, 23425, 11, 41926, 64866, 11, 649, 8083, 5707, 323, 107361, 19595, 13, 578, 8244, 5990, 315, 40085, 33969, 304, 279, 4851, 323, 6680, 527, 18222, 389, 279, 39097, 315, 8451, 2922, 258, 17648, 292, 13935, 304, 5369, 311, 1023, 34625, 8336, 627, 791, 4851, 315, 279, 5030, 198, 32, 4007, 304, 220, 1049, 22, 9749, 430, 34625, 73796, 315, 8451, 2922, 258, 17648, 292, 13935, 1047, 912, 2515, 389, 95736, 532, 5990, 315, 384, 17038, 391, 16985, 12052, 292, 13935, 477, 4733, 437, 1494, 327, 64, 12052, 292, 13935, 11, 323, 433, 1550, 539, 12207, 5376, 872, 2262, 304, 47345, 16124, 320, 18, 570, 24296, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8451, 2922, 258, 17648, 292, 13935, 23730, 1047, 912, 29219, 15360, 449, 279, 39775, 315, 66298, 4851, 8624, 11, 4851, 8060, 11, 30670, 532, 95235, 67184, 477, 11210, 47345, 4648, 320, 19, 11, 220, 20, 11, 220, 21, 570, 763, 4689, 11, 433, 1550, 539, 12207, 7958, 279, 34998, 12, 18, 1963, 11, 459, 21070, 315, 73151, 454, 5646, 407, 320, 18, 4390, 10445, 3250, 1431, 73796, 315, 8927, 32, 7958, 279, 5990, 315, 40085, 33969, 52452, 304, 279, 93532, 38970, 320, 4151, 7216, 12106, 578, 828, 2873, 311, 1486, 311, 279, 8009, 14747, 315, 279, 71261, 8927, 32, 311, 423, 17455, 11, 279, 842, 2027, 315, 279, 34998, 12, 18, 53188, 3711, 38970, 627, 35, 17455, 374, 40054, 93583, 1139, 35693, 39654, 33088, 337, 575, 3447, 323, 374, 1101, 16489, 311, 17332, 3104, 40085, 33969, 430, 7958, 3892, 43080, 24717, 430, 2585, 47345, 323, 64603, 734, 627, 11439, 311, 29888, 11, 1054, 4054, 315, 279, 4819, 449, 8927, 32, 374, 430, 433, 3250, 1431, 636, 15590, 1633, 1664, 311, 423, 17455, 2029, 1115, 374, 264, 41861, 3575, 430, 18065, 279, 2926, 951, 266, 2060, 3094, 304, 279, 38970, 11, 902, 374, 34454, 88, 16284, 555, 279, 40085, 13935, 951, 2693, 521, 435, 50641, 17, 627, 88280, 617, 36131, 5627, 311, 23075, 279, 41861, 88938, 3549, 555, 420, 4478, 72259, 287, 3094, 627, 4054, 5603, 18065, 7859, 357, 686, 307, 14338, 13935, 304, 279, 10173, 11, 29888, 2795, 11, 1606, 435, 50641, 17, 33822, 8927, 32, 311, 328, 6486, 13, 6104, 7978, 617, 6982, 430, 7859, 328, 6486, 3135, 304, 12207, 5190, 5990, 315, 52452, 27250, 323, 423, 8201, 304, 6680, 33088, 337, 575, 3447, 11, 6680, 5990, 315, 423, 17455, 1051, 539, 7319, 320, 22, 4390, 37, 50641, 17, 1101, 374, 2631, 369, 423, 17455, 39975, 520, 279, 1023, 842, 315, 279, 38970, 11, 1405, 433, 8779, 8356, 264, 423, 17455, 71261, 627, 43066, 562, 315, 27250, 323, 423, 17455, 505, 7795, 72286, 5707, 706, 1027, 5068, 311, 5376, 30670, 532, 323, 10594, 57333, 27250, 323, 423, 17455, 304, 39654, 33088, 337, 575, 3447, 320, 18, 705, 323, 4851, 8624, 6978, 889, 27073, 27250, 323, 423, 17455, 33690, 1047, 264, 14278, 304, 66298, 65415, 8624, 323, 11210, 47345, 4648, 320, 23, 4390, 2118, 29815, 389, 279, 33547, 41944, 7978, 323, 279, 14830, 7978, 2476, 29888, 2795, 11, 1054, 98865, 374, 539, 19894, 439, 430, 73151, 454, 4744, 96978, 49216, 1548, 9731, 11, 1054, 2181, 374, 8965, 19894, 430, 27250, 323, 423, 17455, 49843, 73151, 454, 5646, 407, 13, 87266, 315, 27250, 323, 423, 17455, 527, 11349, 369, 279, 27344, 315, 41713, 19338, 13, 578, 3488, 1243, 4131, 709, 505, 264, 41861, 13356, 25, 3053, 1521, 1023, 8336, 315, 34998, 12, 18, 53188, 3711, 11, 1093, 8927, 32, 11, 387, 16489, 311, 423, 17455, 30, 7566, 11, 814, 649, 11, 719, 814, 3207, 539, 439, 7524, 439, 4737, 459, 27250, 12, 477, 423, 17455, 93871, 22822, 477, 12459, 7795, 8649, 27250, 323, 423, 17455, 2029, 320, 8284, 18668, 8336, 315, 27250, 505, 41580, 323, 423, 17455, 505, 68951, 527, 54453, 2561, 29275, 2181, 753, 3062, 311, 5296, 430, 34998, 12, 18, 393, 21180, 2170, 527, 6532, 304, 264, 8205, 315, 24156, 11618, 11, 2737, 25702, 734, 11, 9302, 1645, 35594, 323, 9572, 27344, 13, 578, 31206, 323, 93532, 23963, 369, 872, 6372, 389, 1884, 6067, 527, 6485, 323, 539, 1664, 16365, 627, 93269, 527, 1633, 13326, 35715, 26, 814, 656, 264, 2763, 2476, 29888, 2795, 13, 1054, 7009, 37377, 1690, 2204, 44014, 11, 323, 430, 374, 264, 3575, 304, 4560, 311, 3460, 704, 279, 17226, 6299, 1521, 40085, 33969, 617, 389, 7917, 13, 7570, 279, 3158, 315, 4851, 734, 374, 539, 7373, 20250, 13, 6104, 1070, 374, 264, 13579, 8830, 315, 279, 5536, 315, 1521, 40085, 33969, 389, 37140, 11, 1268, 34998, 12, 18, 40085, 33969, 2585, 73151, 5650, 79759, 71895, 323, 4907, 39097, 374, 539, 1664, 16365, 13, 1666, 1778, 11, 810, 3495, 374, 4460, 49216, 6719, 73787, 1113, 279, 3560, 315, 34998, 12, 18, 82, 304, 279, 4851, 25, 279, 1828, 3094, 198, 1688, 279, 3907, 315, 23481, 11, 24899, 11, 264, 2128, 6197, 555, 12656, 31552, 706, 1903, 37387, 9017, 97298, 1113, 279, 3560, 315, 393, 21180, 2170, 304, 4851, 8060, 627, 52059, 3258, 753, 3495, 1912, 24400, 389, 279, 3560, 315, 54057, 39097, 323, 10173, 304, 279, 1853, 85404, 31226, 315, 4851, 8060, 323, 6051, 11054, 279, 72061, 55424, 2968, 9320, 97551, 439, 264, 2218, 369, 34998, 12, 18, 53188, 3711, 19812, 320, 24, 570, 578, 1912, 374, 1633, 8173, 304, 1701, 34998, 12, 18, 393, 21180, 2170, 311, 4322, 4851, 8060, 6978, 889, 11383, 617, 264, 1579, 47288, 1614, 323, 72061, 32403, 304, 279, 4851, 627, 17818, 5084, 311, 387, 430, 423, 17455, 374, 2216, 279, 832, 430, 374, 7524, 520, 24038, 13957, 311, 8631, 38973, 72061, 97551, 8736, 2476, 902, 374, 69702, 304, 98108, 292, 11134, 323, 4851, 8060, 320, 605, 705, 31552, 2795, 13, 1054, 2181, 1101, 5084, 311, 387, 430, 499, 4070, 2751, 311, 636, 279, 423, 17455, 304, 279, 79348, 13, 1472, 617, 311, 89372, 433, 13, 3011, 753, 279, 5740, 1584, 49216, 52059, 3258, 3585, 704, 430, 6892, 60955, 423, 17455, 304, 264, 48739, 1376, 3727, 3682, 10173, 4442, 26225, 25, 1054, 2675, 649, 1120, 1935, 2380, 477, 3116, 65879, 264, 1938, 11, 323, 433, 649, 617, 3682, 6372, 389, 279, 18528, 315, 47345, 79348, 323, 1253, 7417, 14155, 734, 323, 13967, 4367, 315, 2324, 304, 1521, 1274, 13, 578, 4623, 1053, 387, 430, 814, 1053, 3974, 5129, 477, 1120, 3974, 2731, 49216, 791, 5536, 323, 25127, 315, 34998, 12, 18, 304, 279, 3691, 5064, 198, 791, 2466, 2802, 304, 423, 17455, 927, 279, 3347, 220, 966, 1667, 706, 2586, 505, 279, 2115, 315, 10696, 71528, 13, 1708, 67378, 72286, 423, 17455, 3629, 374, 32762, 1139, 8945, 15150, 369, 65864, 27698, 889, 656, 539, 8343, 7795, 477, 369, 1884, 430, 656, 539, 17659, 11432, 520, 682, 13, 1054, 644, 14830, 7978, 11, 499, 1518, 430, 279, 9302, 1645, 35594, 323, 10723, 5225, 2136, 315, 279, 24869, 527, 2731, 994, 814, 3207, 23114, 423, 17455, 21430, 14172, 291, 15150, 927, 279, 5410, 15150, 2476, 2795, 31552 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 627, 52059, 3258, 9731, 25, 1054, 791, 1510, 6029, 304, 3878, 315, 36581, 72286, 34998, 12, 18, 82, 1253, 387, 315, 4040, 907, 304, 11469, 5961, 1405, 33690, 369, 423, 17455, 320, 18668, 5707, 65879, 8, 477, 2680, 311, 1579, 22867, 7795, 1253, 539, 387, 31368, 15987, 49216, 27844, 17032, 304, 11469, 5961, 527, 7314, 311, 6541, 311, 6136, 72286, 34998, 12, 18, 393, 21180, 2170, 11, 902, 527, 12309, 12136, 323, 13882, 2561, 13, 18185, 1884, 11031, 11, 279, 6372, 1253, 387, 7347, 555, 279, 64481, 93532, 8863, 315, 279, 40085, 13935, 2001, 459, 4360, 430, 12074, 617, 3686, 311, 9006, 627, 12, 220, 16, 13, 423, 27253, 7881, 11, 622, 13, 1880, 453, 13, 3383, 13, 622, 13, 18905, 13, 18878, 81, 13, 220, 1591, 11, 220, 27079, 1389, 220, 25285, 320, 4468, 20, 4390, 12, 220, 17, 13, 423, 27253, 7881, 11, 622, 13, 1880, 453, 13, 39634, 295, 13, 220, 17, 11, 220, 8546, 1389, 220, 9079, 320, 4468, 23, 4390, 12, 220, 18, 13, 6344, 66, 3181, 11, 432, 13, 480, 13, 1880, 453, 13, 3383, 13, 622, 13, 18905, 13, 18878, 81, 13, 220, 5313, 11, 220, 8259, 17, 1389, 220, 8259, 23, 320, 1049, 22, 4390, 12, 220, 19, 13, 409, 6122, 15686, 11, 622, 13, 1880, 453, 13, 393, 4357, 50, 25002, 13, 220, 21, 11, 384, 11128, 3080, 320, 679, 16, 4390, 12, 220, 20, 13, 70381, 11, 480, 2637, 1880, 453, 13, 622, 13, 18878, 81, 13, 220, 9565, 11, 220, 15531, 16, 1389, 220, 15531, 22, 320, 1049, 19, 4390, 12, 220, 21, 13, 50400, 616, 11, 362, 13, 1880, 453, 13, 622, 13, 18878, 81, 13, 220, 9335, 11, 220, 12463, 21, 1389, 220, 13460, 16, 320, 679, 16, 4390, 12, 220, 22, 13, 7957, 11, 386, 13, 1880, 453, 13, 622, 13, 18905, 13, 18878, 81, 13, 220, 2813, 11, 220, 8011, 15, 1389, 220, 8011, 20, 320, 1049, 18, 4390, 12, 220, 23, 13, 50400, 616, 11, 362, 13, 1880, 453, 13, 622, 13, 18878, 81, 13, 220, 9335, 11, 220, 12463, 21, 1389, 220, 13460, 16, 320, 679, 16, 4390, 12, 220, 24, 13, 480, 31949, 40, 12, 4808, 1055, 30767, 96852, 13, 39634, 295, 13, 220, 18384, 11, 220, 20800, 1389, 220, 20325, 320, 2550, 24, 4390, 12, 220, 605, 13, 20774, 1334, 77578, 11, 432, 13, 622, 13, 1880, 453, 13, 24432, 331, 318, 13, 12371, 85404, 13, 3298, 64, 13, 220, 11128, 22, 11, 220, 9992, 20, 1389, 220, 10132, 17, 320, 679, 15, 4390, 12, 220, 806, 13, 507, 529, 8100, 64, 11, 735, 13, 386, 13, 1880, 453, 13, 622, 13, 33518, 13, 14299, 13, 6938, 25947, 13, 220, 2618, 11, 220, 18831, 1389, 220, 24920, 320, 679, 15, 4390, 2059, 1036, 30913, 25518, 285, 320, 2386, 36587, 916, 8, 4036, 1077, 426, 815, 13, 304, 11742, 15009, 505, 4892, 13030, 3314, 3907, 323, 374, 264, 2405, 920, 13, 5575, 304, 279, 31206, 16088, 2068, 520, 279, 3907, 315, 23481, 11, 24899, 13, 6385, 3495, 24400, 389, 279, 31206, 24717, 430, 2585, 12290, 8335, 323, 6680, 7410, 304, 2890, 323, 8624, 13, 3005, 374, 264, 10068, 315, 6652, 11, 423, 732, 2637, 323, 304, 1077, 24804, 892, 32838, 17677, 11, 82642, 34352, 12185, 323, 19354, 13, 128001, 128000, 1950, 5987, 41226, 58536, 198, 12739, 59127, 5871, 5987, 41449, 4292, 198, 73490, 2696, 551, 220, 2371, 12, 2545, 12, 679, 17, 198, 2409, 2890, 323, 39890, 30240, 71199, 304, 1274, 753, 6562, 11725, 11, 1070, 374, 1457, 264, 7982, 17985, 315, 39345, 11709, 627, 8586, 527, 810, 11503, 369, 701, 52909, 315, 2671, 13, 20305, 264, 39890, 3197, 430, 690, 7937, 499, 1888, 627, 5618, 10552, 2345, 12840, 753, 682, 279, 64864, 927, 927, 308, 22288, 988, 323, 25719, 24143, 5380, 33189, 5873, 25, 16299, 15496, 1053, 499, 2980, 33445, 315, 8271, 2890, 5380, 64, 8, 2522, 2453, 38759, 19335, 30205, 304, 14432, 5636, 264, 28771, 61376, 315, 17604, 323, 20897, 12932, 198, 65, 8, 7997, 33566, 449, 16025, 16553, 477, 45405, 13824, 40901, 449, 3428, 64354, 54753, 33566, 32623, 627, 32, 374, 279, 39345, 15496, 13, 1789, 832, 11, 19335, 527, 78216, 323, 527, 6646, 8271, 3691, 627, 43712, 456, 4893, 527, 1633, 1695, 369, 499, 26, 4869, 11, 584, 656, 539, 1440, 922, 279, 90771, 13, 19292, 279, 13824, 374, 326, 4535, 449, 1685, 79629, 323, 85286, 11, 2737, 439, 4581, 373, 323, 25719, 1269, 13, 3296, 5196, 11, 25719, 1269, 4536, 1431, 779, 3958, 13, 2030, 994, 433, 374, 35661, 11, 433, 649, 5276, 1139, 25719, 3714, 20588, 32246, 11, 6646, 36875, 9572, 51877, 985, 26333, 627, 2028, 13980, 994, 264, 11742, 13010, 8741, 1990, 25719, 7853, 320, 17249, 311, 3691, 8, 323, 264, 1083, 288, 320, 15456, 304, 13128, 430, 374, 3118, 304, 279, 2547, 4390, 19897, 311, 15590, 15657, 11, 420, 11742, 11, 1101, 3967, 439, 39695, 25719, 1269, 477, 62275, 25719, 1269, 11, 29034, 279, 47810, 315, 15657, 555, 26991, 279, 98534, 5788, 315, 5405, 496, 307, 2411, 11164, 24292, 372, 320, 8370, 11384, 11164, 360, 2191, 570, 763, 279, 2326, 11, 1521, 26333, 527, 5535, 311, 387, 1511, 11, 6376, 279, 4017, 311, 832, 961, 25719, 1269, 311, 220, 4364, 5596, 824, 3610, 627, 45, 22288, 988, 369, 36214, 62380, 527, 24740, 311, 3810, 279, 3691, 323, 3090, 8312, 13, 1628, 420, 374, 3249, 6300, 33489, 374, 264, 2466, 4360, 627, 98547, 1269, 323, 25719, 3714, 20588, 527, 10815, 449, 7319, 9572, 315, 279, 15235, 11, 21271, 11, 62268, 300, 11, 26587, 11, 5099, 627, 4438, 311, 21277, 1082, 25719, 1269, 52236, 30, 12040, 19262, 5670, 288, 315, 28170, 356, 323, 469, 11, 13746, 24948, 354, 1994, 323, 18779, 263, 17390, 627, 27312, 701, 50351, 198, 4438, 656, 358, 27208, 3958, 11745, 5380, 29089, 499, 4510, 430, 33151, 315, 24032, 11, 81540, 11, 42068, 323, 79383, 3974, 304, 1057, 65609, 30, 1102, 753, 837, 13, 2684, 527, 927, 220, 5067, 9606, 315, 24032, 430, 3802, 1057, 65609, 439, 872, 2162, 13, 1556, 927, 74189, 315, 24032, 11767, 311, 26588, 31815, 323, 42365, 8624, 13, 1102, 1436, 11, 832, 1938, 11, 3063, 311, 26588, 4814, 13, 1442, 499, 527, 77826 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11, 282, 9563, 287, 323, 97183, 2785, 15870, 11, 1243, 499, 13434, 1431, 617, 264, 1972, 3575, 627, 4071, 422, 499, 1541, 1431, 11, 1243, 433, 753, 892, 311, 4034, 701, 50351, 13, 48804, 61464, 11, 264, 28502, 11, 24875, 88, 4632, 430, 28815, 389, 18311, 4245, 311, 279, 21655, 315, 24032, 449, 279, 70913, 323, 70181, 288, 505, 279, 3691, 499, 8343, 11, 11384, 3958, 11745, 13, 78641, 277, 374, 279, 71836, 61464, 1977, 5352, 1306, 779, 1790, 29106, 39332, 627, 26004, 477, 282, 9563, 11157, 7446, 11, 8983, 560, 422, 499, 649, 13, 3234, 539, 6212, 2085, 3815, 701, 60052, 28278, 13, 9939, 329, 8630, 79383, 505, 701, 259, 8742, 627, 23274, 520, 6261, 304, 279, 18327, 323, 1243, 37163, 374, 264, 6725, 430, 649, 636, 499, 3940, 389, 2731, 29106, 2890, 13, 6588, 701, 25466, 927, 701, 18311, 13, 1442, 433, 11321, 24875, 88, 11, 1243, 433, 753, 892, 369, 701, 29106, 1817, 5352, 323, 16204, 627, 8238, 433, 264, 14464, 311, 1935, 1403, 13935, 98635, 355, 320, 19045, 24032, 8, 65879, 7446, 627, 38275, 60071, 56067, 11, 832, 311, 2380, 29679, 7446, 477, 8343, 7878, 11, 7257, 320, 359, 99797, 8, 26390, 323, 24822, 627, 63704, 560, 7878, 60399, 81970, 12059, 439, 701, 6693, 27795, 11, 99305, 323, 35294, 261, 627, 1163, 9761, 5237, 25734, 29679, 1436, 387, 4529, 627, 21573, 752, 88621, 11141, 304, 4106, 3090, 323, 47715, 439, 264, 15600, 627, 11590, 704, 79383, 13, 3580, 701, 10896, 627, 35643, 367, 311, 58161, 198, 11787, 1070, 904, 5897, 323, 5933, 33690, 439, 459, 10778, 311, 58161, 30, 358, 1097, 264, 6721, 34880, 627, 9642, 1070, 527, 13, 21839, 53358, 2454, 8957, 42500, 33969, 320, 5002, 6157, 753, 705, 1521, 527, 24549, 315, 514, 1791, 483, 11, 1062, 483, 323, 374, 1286, 1791, 483, 13, 21829, 291, 5933, 459, 57565, 16124, 52499, 33690, 11, 814, 527, 264, 12717, 2592, 315, 25247, 369, 279, 3823, 16124, 11, 5423, 7524, 2391, 459, 19428, 26308, 627, 5002, 32, 2170, 649, 1101, 8108, 279, 38575, 1418, 17843, 72157, 11968, 902, 39954, 32152, 87067, 627, 7816, 23659, 11, 433, 39990, 16025, 16124, 3148, 323, 8141, 627, 10254, 4779, 1288, 387, 4529, 220, 966, 4520, 1603, 264, 26308, 13, 128001, 128000, 77980, 17738, 11, 24074, 8122, 87286, 11, 323, 279, 45796, 23055, 527, 682, 10507, 315, 893, 753, 5149, 311, 51630, 279, 78001, 315, 6138, 13, 4452, 11, 279, 1176, 9615, 6992, 6425, 311, 279, 3575, 315, 19019, 78768, 4221, 4028, 3634, 574, 279, 8753, 1543, 75430, 27747, 375, 753, 29393, 8122, 4539, 627, 1163, 34531, 596, 8957, 315, 9998, 40825, 11, 40901, 555, 220, 605, 94724, 13, 51879, 323, 220, 975, 94724, 13, 42430, 11780, 5425, 3697, 11, 323, 64928, 439, 3117, 10980, 439, 279, 8071, 1436, 1518, 11, 574, 1176, 21091, 311, 279, 586, 304, 5587, 315, 220, 11128, 16, 389, 279, 921, 14989, 469, 398, 325, 288, 627, 1163, 34531, 3549, 264, 4221, 315, 220, 24, 11, 5500, 4339, 11, 1855, 15609, 555, 264, 2204, 2361, 315, 279, 55060, 11977, 13, 3277, 24026, 555, 1664, 70024, 29393, 8122, 4539, 388, 11, 279, 1887, 574, 76024, 4062, 13, 27827, 1436, 387, 34699, 709, 311, 220, 3965, 8931, 304, 1403, 4520, 627, 69082, 279, 8753, 6411, 5602, 279, 907, 315, 27747, 375, 753, 28229, 11, 323, 5238, 315, 813, 40825, 1051, 5918, 704, 505, 12366, 311, 69783, 14468, 323, 4610, 84250, 13, 25218, 264, 13515, 11, 264, 4009, 315, 29393, 8122, 4539, 5238, 1589, 1056, 29942, 291, 279, 7140, 13, 3277, 70527, 31589, 2410, 304, 220, 11128, 24, 11, 568, 1511, 279, 29393, 8122, 4539, 311, 6988, 279, 1984, 11, 1054, 60704, 374, 11594, 323, 279, 1695, 10495, 527, 2262, 49216, 35725, 869, 660, 304, 220, 2550, 23, 11, 279, 29393, 8122, 4539, 1828, 311, 279, 42087, 276, 27987, 304, 328, 7403, 818, 734, 291, 439, 961, 315, 279, 4610, 84250, 1584, 505, 220, 11128, 23, 3156, 220, 9741, 17, 13, 1102, 374, 832, 315, 3892, 9861, 32951, 3585, 304, 279, 1887, 430, 649, 2103, 387, 12263, 3432, 13, 128001, 128000, 51197, 264, 6205, 374, 1120, 279, 7314, 323, 47995, 323, 8863, 57749, 7612, 810, 1109, 1120, 279, 384, 38428, 627, 29132, 8308, 8223, 94521, 11, 520, 3325, 59139, 31284, 3521, 76339, 11, 832, 3814, 4238, 287, 3882, 11, 4848, 23277, 311, 279, 7795, 11987, 11, 3892, 80743, 24393, 323, 264, 13051, 16587, 709, 311, 264, 20543, 15688, 11, 279, 14248, 617, 1664, 323, 9615, 35516, 430, 7782, 315, 220, 1954, 89016, 315, 62772, 389, 6187, 220, 16, 627, 1966, 1855, 8577, 279, 47995, 6137, 304, 279, 2115, 323, 8738, 1203, 520, 1057, 28377, 13, 578, 57749, 690, 5246, 387, 28358, 311, 279, 16730, 1405, 264, 17879, 6492, 649, 387, 10887, 11, 11000, 2737, 46544, 24685, 323, 15922, 62119, 13, 4740, 430, 11, 3608, 7174, 649, 387, 11007, 422, 5995, 323, 12624, 16064, 649, 387, 4756, 627, 4516, 1268, 1550, 279, 14248, 1212, 311, 1920, 872, 10688, 1618, 304, 9538, 269, 30, 358, 12570, 449, 922, 4376, 279, 2128, 311, 1505, 704, 320, 28753, 7556, 311, 682, 315, 1124, 1053, 3077, 1903, 420, 1772, 5129, 1109, 264, 15371, 15379, 9236, 4390, 8921, 21904, 7978, 66092, 575, 30797, 11, 459, 2015, 315, 40712, 580, 598, 11, 323, 574, 21816, 10688, 505, 30963, 6732, 320, 438, 832, 3814, 4238, 287, 3882, 8, 449, 1521, 2678, 320, 44066, 2753, 1243, 220, 605, 3906, 8, 20566, 304, 4059, 13, 3005, 5829, 279, 80744, 24522, 1749, 902, 3445, 25012, 1077, 54057, 10688, 304, 264, 15994, 315, 15596, 3090, 439, 433, 37167, 12290, 13284, 10099, 311, 4984, 505, 872, 10187, 627, 8921, 21904, 1243, 658, 332, 462, 660, 320, 2332, 404, 839, 8, 279, 15994, 11, 14718, 279, 44922, 59132, 311, 4498, 311, 279, 5740, 323, 279, 30673, 66092, 575, 30797, 311, 10205, 311, 279, 1948, 13, 578, 93378, 3090, 574, 14297, 66472, 704, 1139, 264, 75436, 13, 3639, 574, 18797, 704, 574, 1243, 9277, 304, 264, 35788, 323, 25078, 369, 10099, 11, 902, 1051, 13061, 709, 449, 5457, 1725, 477, 24547, 47003, 323, 9277, 1139, 61111, 315, 62772, 13, 4740, 430, 11, 279, 39646, 10688, 430, 14958, 304, 279, 15994, 1051, 1101, 9277, 304, 279, 35788, 323, 30293, 25078, 369 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 100014, 627, 1687, 1047, 264, 2128, 315, 4330, 7795, 14248, 320, 121988, 2788, 3451, 1820, 7795, 437, 96206, 389, 420, 8577, 889, 6575, 3871, 311, 1920, 872, 10688, 323, 1304, 15234, 11, 293, 675, 10470, 32520, 15716, 3284, 13, 6104, 814, 1550, 6667, 10688, 520, 279, 7795, 11987, 11, 279, 13057, 8857, 315, 872, 57749, 1051, 4529, 389, 94521, 323, 8774, 304, 12466, 18381, 315, 67329, 977, 320, 258, 24932, 552, 8, 3156, 814, 6052, 311, 3190, 627, 39, 3251, 9162, 279, 14177, 2007, 369, 4207, 520, 264, 892, 11, 872, 8863, 3629, 7111, 323, 35408, 1093, 3488, 892, 520, 20302, 11, 719, 389, 12401, 24481, 574, 3604, 264, 7701, 39433, 323, 11297, 31017, 13, 11205, 8863, 3940, 449, 25012, 279, 95461, 1139, 92825, 323, 15286, 82, 315, 10054, 11, 50802, 279, 1938, 753, 2339, 17715, 555, 955, 627, 3915, 1070, 279, 2128, 6137, 311, 10765, 279, 95461, 11, 449, 1855, 4562, 8413, 1892, 287, 389, 1884, 9606, 814, 3361, 1082, 304, 25, 31858, 9960, 279, 3189, 52090, 11, 369, 3187, 11, 323, 12149, 279, 56980, 95461, 13, 2435, 1053, 3629, 1817, 449, 1855, 1023, 11, 4869, 11, 323, 8666, 279, 5729, 315, 5905, 6603, 814, 7263, 449, 1124, 627, 12805, 264, 7795, 574, 7086, 433, 1053, 733, 311, 4488, 369, 10512, 287, 11, 7170, 3515, 872, 66079, 48809, 704, 422, 814, 1047, 35947, 27230, 13, 53391, 574, 279, 10388, 274, 3191, 2391, 682, 315, 420, 11, 14975, 5144, 11, 12562, 323, 1396, 315, 57749, 11, 439, 1664, 439, 4477, 2678, 9382, 369, 4488, 311, 10512, 449, 279, 95461, 627, 2746, 264, 7795, 574, 11054, 439, 832, 430, 19117, 956, 1027, 8767, 14890, 389, 279, 8577, 11, 1243, 433, 1053, 733, 311, 42859, 889, 1053, 8819, 264, 2678, 6710, 315, 16124, 20438, 449, 264, 24964, 48624, 323, 2035, 433, 1139, 264, 348, 532, 315, 423, 4931, 46, 6425, 320, 8370, 374, 95561, 311, 15922, 6492, 570, 578, 2800, 315, 279, 7795, 1053, 387, 9277, 304, 16287, 258, 627, 47, 18314, 3782, 389, 420, 8577, 311, 6667, 40712, 580, 598, 323, 95461, 323, 574, 6532, 304, 279, 8863, 315, 304, 65932, 65216, 10688, 13, 9086, 43460, 11, 54015, 1550, 1455, 315, 1077, 29373, 304, 264, 35788, 11, 719, 1077, 10688, 14958, 304, 12290, 13284, 3156, 814, 1051, 13061, 704, 323, 9277, 304, 61111, 315, 62772, 627, 3915, 3217, 1364, 574, 3025, 311, 4148, 3544, 9863, 315, 71145, 7091, 505, 279, 35788, 430, 1051, 17821, 311, 6782, 10099, 320, 54719, 430, 27116, 3451, 18883, 529, 304, 279, 3090, 369, 3187, 8, 323, 1304, 1005, 315, 523, 285, 2053, 311, 1464, 1523, 279, 4461, 6305, 320, 54719, 449, 45963, 323, 1922, 85, 1238, 4390, 45, 261, 4849, 323, 16431, 14134, 14890, 59132, 505, 279, 18435, 6558, 11, 658, 332, 462, 1113, 520, 279, 1203, 315, 279, 15688, 323, 51051, 279, 18797, 13651, 311, 12466, 18381, 13, 6984, 520, 872, 87180, 10278, 814, 1053, 21635, 420, 27410, 304, 26863, 1234, 279, 73757, 11, 3411, 369, 9581, 1776, 13602, 323, 4528, 10099, 539, 1790, 11493, 1109, 279, 41936, 315, 59132, 814, 3351, 1990, 627, 791, 1920, 6532, 5361, 26863, 323, 21420, 10223, 323, 16204, 315, 279, 67329, 977, 311, 1304, 433, 8831, 311, 23846, 1521, 90090, 10099, 13, 2468, 279, 842, 315, 279, 1920, 814, 1053, 617, 264, 4526, 315, 57749, 323, 1053, 10491, 1243, 902, 6305, 311, 1920, 4726, 13, 4314, 1053, 387, 57303, 1418, 2103, 13989, 323, 11911, 389, 872, 1404, 11, 617, 3060, 264, 5258, 1545, 4529, 369, 15922, 6492, 320, 438, 9277, 304, 264, 348, 532, 315, 62772, 8, 477, 387, 9277, 4459, 304, 62772, 477, 16287, 258, 627, 58524, 1563, 27600, 369, 13987, 9581, 4224, 6341, 304, 51296, 51515, 323, 958, 25453, 278, 26467, 304, 9538, 269, 11, 26984, 10688, 315, 27275, 11, 16312, 5030, 323, 35098, 902, 1364, 1053, 3451, 1030, 1590, 989, 11623, 529, 304, 279, 2115, 1701, 264, 1633, 7060, 75436, 13, 56478, 1521, 10688, 7155, 304, 264, 15994, 11, 1364, 1053, 471, 311, 279, 10278, 323, 1005, 264, 46605, 311, 57507, 420, 3451, 86, 13883, 1022, 529, 5030, 1139, 264, 6896, 462, 12269, 627, 791, 8970, 315, 279, 12269, 1051, 2064, 404, 839, 2212, 779, 430, 433, 1053, 25760, 1139, 832, 6324, 11, 3339, 433, 8831, 311, 1518, 72179, 10099, 477, 21483, 430, 1364, 5952, 5014, 13, 3005, 9277, 1077, 57749, 304, 62772, 369, 10512, 287, 323, 15922, 62119, 1203, 520, 279, 16730, 627, 44, 13634, 49098, 279, 30963, 6732, 11, 11987, 323, 4288, 20543, 32731, 369, 63190, 12130, 454, 30797, 320, 42792, 454, 4881, 11, 90275, 323, 4018, 11489, 18668, 570, 6984, 520, 279, 9689, 11, 1364, 1053, 10512, 1855, 58184, 323, 1935, 1403, 20438, 10688, 25, 832, 16124, 323, 832, 505, 279, 342, 3385, 627, 9673, 10688, 1053, 387, 9277, 304, 8821, 348, 10522, 315, 62772, 13, 25929, 11, 279, 62772, 690, 387, 44033, 1022, 323, 279, 10688, 3779, 311, 1057, 20268, 20438, 4526, 520, 279, 16730, 323, 1903, 2561, 369, 15922, 6492, 627, 791, 27410, 315, 279, 57749, 1364, 19426, 1051, 8521, 304, 16287, 258, 11, 449, 279, 387, 10011, 323, 9038, 26622, 315, 279, 90275, 323, 279, 4018, 11489, 82091, 315, 279, 4018, 11489, 18668, 1694, 45017, 52159, 320, 9891, 11, 90275, 617, 387, 10011, 570, 4314, 690, 9778, 387, 23217, 311, 220, 2031, 4, 62772, 11, 2728, 264, 1396, 304, 1057, 4729, 323, 3779, 311, 1057, 4526, 369, 1317, 4751, 5942, 13, 128001, 128000, 26330, 304, 477, 16351, 709, 1556, 29438, 311, 18341, 47595, 2508, 503, 104402, 3258, 8745, 3962, 311, 551, 5665, 551, 25368, 27740, 811, 551, 12037, 2758, 311, 23497, 38168, 8463, 11244, 311, 76336, 323, 39810, 2758, 311, 13740, 69304, 505, 3229, 22255, 50772, 17539, 13674, 6946, 304, 7572, 95456, 22245, 449, 264, 50, 36400, 14882, 11840, 2082, 25, 38168, 25, 17710, 23067, 14882, 12838, 539, 1862, 3772, 612, 27145, 20394, 38168, 47434, 38168, 5665, 25, 14882, 88892, 25, 14882, 578, 15864, 374, 7946, 3779, 763, 4718, 64318, 13, 25987, 25, 220, 12754, 23, 10260, 25, 11930, 1914, 25, 2052, 10734, 15516, 9086, 433, 320, 15, 8, 4185, 4908, 433, 320, 15, 8, 18152, 25, 5887, 220, 777, 11, 220, 679, 17, 1115, 51968, 374, 3142, 64318, 25, 220, 17, 51968, 7817, 8595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4007, 18341, 51286, 30, 18149, 79773, 4068, 1131, 26745, 4562, 51968, 91403, 54600, 51968, 25, 1556, 29438, 18341, 47595, 2508, 18341, 47595, 2508, 15335, 2674, 51968, 25, 48833, 24271, 25, 8595, 656, 51286, 46753, 30, 2650, 374, 18341, 59492, 30576, 304, 1057, 1917, 3432, 30, 3639, 682, 36807, 527, 1070, 311, 1521, 7493, 30, 3639, 374, 279, 6371, 315, 18341, 59492, 30, 15335, 2674, 51968, 25, 3639, 374, 264, 21849, 30, 362, 21849, 374, 264, 3446, 11, 3549, 45925, 555, 264, 4459, 1274, 477, 8396, 927, 264, 4261, 315, 892, 3131, 11846, 311, 387, 837, 11, 430, 95122, 1063, 315, 279, 24278, 323, 8206, 33647, 555, 430, 8396, 13, 4314, 7493, 1253, 1520, 311, 10552, 3249, 279, 1917, 4375, 279, 1648, 433, 1587, 11, 311, 3493, 264, 57916, 369, 35869, 323, 9466, 3095, 11, 311, 5813, 743, 57679, 369, 60283, 11, 323, 311, 7168, 1148, 8741, 311, 7931, 1306, 4648, 13, 14302, 25, 1952, 279, 3475, 0, 15335, 2674, 51968, 25, 21431, 315, 51286, 95789, 51286, 52347, 9886, 323, 279, 842, 315, 279, 1917, 13, 578, 4633, 51286, 52347, 29913, 1778, 439, 75457, 477, 79789, 13, 16905, 51286, 52347, 7931, 1778, 439, 6385, 18709, 11, 3700, 325, 355, 11, 323, 88736, 13, 11004, 69626, 51286, 52347, 3673, 477, 7634, 1778, 439, 279, 21411, 93090, 26, 279, 96615, 4208, 15335, 2674, 51968, 25, 10699, 3549, 51286, 30, 38050, 61780, 11, 49817, 11, 15757, 668, 4942, 11, 14154, 82604, 11, 94614, 41448, 11, 4892, 3778, 30507, 11, 8620, 11, 40771, 315, 6890, 2345, 30115, 14154, 36017, 2345, 16219, 291, 264, 1887, 315, 59492, 311, 10552, 872, 1917, 13, 9176, 4320, 4860, 1778, 439, 25, 10699, 1097, 358, 30, 3639, 374, 420, 1917, 2212, 757, 30, 8595, 1097, 358, 1618, 30, 3639, 374, 279, 7580, 315, 2324, 30, 15335, 2674, 51968, 25, 14874, 8449, 315, 47595, 2508, 3092, 17323, 13500, 50106, 323, 20334, 311, 264, 7829, 13, 3092, 17323, 3118, 17959, 369, 5496, 13, 3092, 17323, 9541, 264, 7829, 753, 7640, 13, 3092, 17323, 3041, 7438, 311, 2324, 13, 3092, 17323, 10552, 279, 653, 95444, 481, 13, 3092, 17323, 3085, 3560, 4211, 13, 14302, 25, 1952, 279, 3475, 0, 15335, 2674, 51968, 25, 38987, 315, 279, 14154, 61780, 18341, 32447, 220, 5154, 15, 1667, 4227, 10170, 323, 38696, 25, 79001, 11, 9683, 318, 59626, 744, 315, 16088, 46969, 27367, 19001, 36017, 323, 3463, 17979, 11, 20156, 11, 32349, 11, 51067, 11, 17649, 11, 18112, 7658, 11, 3109, 11, 20095, 8040, 304, 46926, 28058, 26411, 15335, 2674, 51968, 25, 5135, 315, 14154, 25431, 44921, 38373, 36608, 13, 97891, 44499, 7462, 17247, 578, 9620, 46926, 3165, 26017, 7948, 668, 15335, 2674, 51968, 25, 76040, 315, 279, 49817, 763, 279, 1566, 9478, 1603, 279, 7342, 315, 3771, 11, 279, 13041, 32447, 17626, 323, 6244, 810, 8147, 1109, 25431, 13, 578, 49817, 1051, 19407, 28160, 555, 279, 61780, 323, 10815, 279, 18341, 7493, 311, 872, 1866, 29913, 3156, 2225, 21849, 9268, 1051, 4661, 279, 1890, 13, 15636, 11, 1070, 527, 2225, 20023, 323, 18341, 5144, 369, 279, 29913, 13, 1789, 3187, 25, 75457, 320, 95448, 8, 374, 1101, 50789, 320, 62080, 7586, 15111, 570, 15335, 2674, 51968, 25, 578, 14154, 27883, 43516, 15457, 83, 25812, 1053, 3371, 1521, 7493, 304, 279, 27803, 13, 1115, 3446, 11890, 374, 459, 3187, 315, 1054, 10020, 14135, 2029, 9062, 892, 264, 3446, 574, 2160, 820, 11, 502, 3649, 1053, 387, 3779, 13, 30129, 315, 279, 358, 747, 329, 323, 279, 66881, 1174, 2225, 4248, 1233, 315, 18427, 323, 4208, 11, 3952, 220, 1187, 4207, 311, 1373, 13, 9029, 1053, 4546, 3691, 323, 7172, 323, 4822, 369, 4553, 24601, 55186, 2674, 51968, 25, 8595, 4007, 59492, 30, 4557, 1633, 7185, 11, 2523, 11, 323, 23387, 7493, 3580, 1268, 2753, 27877, 1274, 17644, 311, 3568, 449, 4860, 323, 5435, 315, 872, 1917, 34387, 682, 36807, 311, 18341, 59492, 304, 16483, 1778, 439, 42482, 311, 279, 3118, 65647, 682, 36807, 311, 18341, 51286, 304, 6617, 3956, 11, 36018, 11, 323, 9873, 67975, 553, 4279, 5438, 68653, 304, 17649, 949, 1472, 656, 539, 617, 279, 8041, 311, 1684, 420, 15864, 13, 763, 2015, 311, 1684, 433, 11, 4587, 3729, 279, 3229, 315, 279, 15864, 13, 128001, 128000, 51, 2757, 2136, 323, 58675, 527, 279, 6156, 11384, 315, 33788, 16239, 18386, 15749, 13, 2435, 527, 1664, 8010, 315, 279, 15635, 315, 10043, 449, 264, 3738, 3392, 315, 36709, 11, 3508, 505, 264, 6996, 315, 6212, 11, 7106, 5435, 11, 8009, 48378, 520, 279, 13587, 477, 7446, 8631, 627, 4054, 315, 279, 5627, 311, 13750, 4465, 36709, 374, 311, 5201, 10043, 3115, 482, 682, 35991, 527, 8010, 315, 279, 13693, 25, 912, 810, 1109, 220, 24, 4207, 824, 1938, 323, 220, 3487, 4207, 824, 2046, 11, 449, 264, 23911, 3009, 315, 520, 3325, 220, 1774, 4520, 1475, 220, 19, 323, 264, 4376, 4207, 13, 1115, 6276, 369, 264, 2697, 2800, 323, 264, 6140, 311, 11993, 1063, 8333, 1603, 14691, 389, 279, 5754, 13, 578, 1314, 10182, 2585, 304, 279, 13691, 11, 3177, 21644, 323, 21420, 88000, 1101, 1520, 627, 11663, 16346, 369, 47336, 36709, 527, 3196, 389, 502, 14645, 11, 1778, 439, 14683, 7766, 430, 8891, 279, 5696, 596, 6666, 26, 1521, 527, 5918, 1139, 1063, 27861, 323, 527, 923, 60226, 304, 3885, 11, 439, 374, 279, 1162, 315, 279, 16963, 5193, 60469, 11, 902, 21054, 264, 4528, 734, 13, 1666, 6721, 12050, 2736, 1440, 11, 1070, 527, 5217, 7766, 430, 649, 1520, 5766, 33788, 9057, 555, 54716, 11, 3629, 4245, 311, 19781, 2136, 11, 1778, 439, 1884, 430, 5222, 459, 17035, 520, 459, 91605, 2349, 315, 21971, 11, 477, 1884, 430, 11388, 6302, 304, 279, 18507, 7858, 13, 26778, 3727, 11, 1778, 439, 423, 8440, 11, 26819, 11, 2522, 9345, 477, 68352, 86435, 11, 617, 1521, 2736, 5918, 1139, 872, 4211, 13, 128001, 128000, 10267, 753, 19513, 5277, 198, 10227, 1648, 264, 1716, 15849, 922, 1077, 1989, 374, 810, 3062, 1109, 279, 1648, 499, 1781, 922, 433, 1359, 2795, 58463, 13, 330, 27247, 33330, 9669, 323, 2646, 2019, 11, 364, 40, 2846, 539, 1695, 520, 420, 3238, 1102, 40019, 8850, 13, 15037, 15806, 264, 61905, 261, 596, 4731, 11, 1989, 11, 477, 15612, 13, 7557, 24654, 505, 2144, 13, 25961, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 364, 19041, 374, 264, 2579, 12960, 2965, 477, 364, 4151, 1521, 2380, 2579, 5238, 3238, 76198, 1113, 1253, 69033, 28697, 477, 66087, 264, 1716, 10246, 791, 7434, 315, 2911, 8830, 1989, 304, 872, 1866, 1648, 374, 539, 502, 13, 29473, 29927, 11, 264, 18250, 100051, 72146, 304, 279, 3389, 220, 5245, 15, 82, 11, 6267, 304, 1077, 2363, 5492, 11930, 11, 330, 1687, 4250, 6767, 279, 10383, 430, 832, 477, 2500, 10255, 706, 5304, 279, 2911, 596, 5647, 315, 13444, 11, 5304, 813, 2410, 315, 9298, 11, 439, 304, 264, 6945, 11, 279, 4279, 42266, 315, 2324, 26, 568, 374, 69671, 810, 1109, 584, 1440, 304, 3515, 2216, 7111, 520, 264, 3254, 6945, 10246, 62869, 4250, 5944, 4871, 872, 1716, 596, 8271, 323, 6106, 430, 682, 279, 16627, 9045, 814, 1304, 527, 9687, 11, 9967, 11, 323, 9435, 36001, 13, 2435, 649, 387, 3738, 11, 3582, 11, 430, 33018, 1989, 323, 4731, 11, 902, 617, 17948, 14604, 56759, 304, 12966, 15603, 369, 24552, 11, 690, 31518, 459, 6873, 13, 578, 11469, 4059, 315, 264, 1716, 690, 61792, 709, 8996, 433, 374, 23712, 449, 11, 779, 3249, 539, 3493, 279, 1888, 3925, 323, 7829, 584, 617, 311, 3085, 30, 128001, 128000, 33, 337, 21475, 25, 63954, 11843, 79510, 8835, 4994, 2326, 46567, 198, 1451, 26424, 21572, 304, 77710, 617, 1027, 10168, 264, 3148, 272, 17270, 11843, 79510, 8835, 439, 961, 315, 4901, 311, 842, 459, 6625, 9120, 389, 279, 6725, 627, 91722, 315, 1274, 37433, 291, 279, 16312, 4994, 279, 2326, 46567, 304, 5034, 88982, 323, 304, 1023, 9919, 4028, 279, 3224, 627, 33, 337, 21475, 6944, 311, 30569, 264, 6781, 11217, 38997, 430, 48609, 75477, 272, 17270, 11, 902, 374, 459, 14154, 14135, 304, 279, 1628, 288, 627, 4071, 279, 2326, 706, 1071, 433, 690, 48960, 279, 28238, 1606, 272, 17270, 374, 1101, 279, 7257, 3769, 369, 3339, 39123, 627, 791, 26827, 4994, 279, 2326, 46567, 1101, 12882, 3956, 1903, 505, 272, 17270, 11, 2737, 8579, 21662, 11, 26588, 57968, 11, 76657, 323, 297, 396, 1392, 627, 7009, 1051, 12899, 264, 25007, 344, 1122, 3109, 4901, 311, 30569, 279, 220, 5162, 16, 6781, 11579, 26958, 389, 79420, 14546, 51766, 311, 4148, 4221, 430, 48609, 279, 75477, 315, 272, 17270, 16312, 627, 791, 21977, 43773, 24031, 430, 272, 17270, 11843, 79510, 387, 34373, 2949, 220, 914, 1667, 315, 279, 21977, 5108, 1139, 2515, 304, 220, 5162, 19, 627, 33, 337, 21475, 2795, 430, 374, 68763, 11, 2728, 430, 272, 17270, 1005, 374, 779, 17693, 41976, 304, 279, 39678, 7829, 315, 279, 1628, 288, 5253, 13584, 20901, 198, 791, 2326, 374, 16475, 311, 10223, 279, 6781, 21977, 1606, 433, 2795, 433, 1053, 33556, 279, 4465, 2403, 39123, 5788, 627, 644, 264, 5224, 11, 279, 2326, 46567, 1071, 6652, 39764, 272, 17270, 11843, 79510, 439, 264, 330, 88008, 2587, 1, 315, 77710, 596, 39678, 32538, 719, 1436, 539, 1862, 279, 28238, 627, 10227, 2361, 315, 279, 2326, 3109, 304, 539, 12899, 279, 28238, 374, 3196, 389, 279, 12939, 315, 20958, 279, 17025, 315, 279, 6781, 21977, 11, 902, 374, 459, 3062, 5507, 304, 279, 4465, 2403, 5623, 80367, 544, 16671, 1359, 433, 1071, 627, 791, 2326, 374, 279, 1917, 596, 7928, 11761, 315, 39123, 323, 706, 1027, 6522, 9045, 311, 89514, 272, 17270, 5788, 304, 279, 1628, 288, 369, 11026, 627, 33, 337, 21475, 374, 279, 1917, 596, 1176, 8706, 17276, 315, 39123, 1306, 48847, 323, 39133, 11, 323, 1790, 315, 1202, 272, 17270, 19641, 374, 1511, 311, 1304, 279, 12079, 5623, 627, 33, 337, 344, 1122, 4900, 98970, 76602, 706, 1317, 64854, 279, 18324, 315, 272, 17270, 439, 264, 6136, 315, 2294, 58041, 11, 13042, 323, 10597, 12939, 430, 374, 12742, 505, 39123, 627, 2170, 1664, 439, 1694, 77710, 596, 1176, 39678, 2010, 315, 1614, 11, 4491, 76602, 374, 1101, 264, 4846, 272, 17270, 93832, 261, 323, 7808, 315, 264, 272, 17270, 93832, 388, 6696, 11552, 627, 791, 25007, 344, 1122, 28238, 1053, 2586, 1139, 2515, 389, 220, 2148, 6186, 1193, 422, 1070, 1051, 912, 54111, 13, 128001, 128000, 27312, 264, 18589, 40324, 13538, 35971, 3765, 8714, 1737, 90082, 337, 320, 62897, 6207, 340, 27844, 323, 10164, 1481, 17334, 12799, 2136, 288, 765, 59788, 2617, 34884, 765, 18589, 40324, 8471, 765, 3962, 10398, 3963, 10852, 198, 2409, 279, 4325, 315, 46630, 11, 21646, 279, 1917, 706, 539, 1193, 3719, 8831, 11, 719, 433, 374, 1101, 459, 31518, 287, 3217, 13, 10541, 1063, 315, 603, 1253, 4822, 2949, 279, 13693, 315, 1057, 5426, 24743, 11, 1690, 315, 603, 690, 5944, 311, 39418, 53397, 304, 5961, 449, 29865, 12628, 315, 77623, 323, 10886, 315, 53056, 13, 578, 5326, 315, 3691, 12, 477, 3090, 1481, 17334, 49909, 11, 439, 1664, 439, 810, 28856, 19338, 1418, 389, 20769, 11, 2737, 69263, 323, 14071, 34653, 11, 649, 387, 264, 8903, 315, 5944, 13, 18185, 1521, 5199, 2890, 15635, 11, 1690, 690, 539, 6056, 6593, 9650, 1603, 264, 8577, 13, 2030, 3508, 701, 9284, 374, 81423, 359, 477, 3400, 10453, 2629, 11, 433, 1253, 387, 1664, 5922, 279, 892, 311, 4034, 264, 5944, 2890, 28913, 1603, 701, 25959, 627, 791, 2768, 7931, 1288, 6056, 6593, 9650, 1603, 21646, 22917, 512, 12, 15268, 1821, 323, 3995, 2911, 198, 12, 13266, 449, 21249, 4787, 1778, 439, 20335, 11, 41713, 8624, 11, 39042, 8624, 11, 6348, 23349, 66358, 28439, 11, 70655, 11, 477, 23495, 19405, 198, 12, 26211, 6978, 47397, 62730, 198, 12, 63030, 389, 22866, 31010, 2737, 473, 12, 17, 84235, 323, 3276, 582, 3447, 198, 12, 60747, 519, 3278, 198, 8142, 1521, 7931, 2011, 1935, 5066, 61003, 994, 21646, 11, 5606, 9293, 264, 8577, 25355, 1288, 2980, 11125, 6593, 9650, 505, 264, 5944, 28913, 627, 27844, 323, 10164, 1481, 17334, 12799, 2136, 288, 198, 27844, 12, 323, 3090, 1481, 17334, 49909, 11, 1778, 439, 63865, 753, 69393, 11, 527, 279, 1455, 4279, 8811, 17491, 17011, 2391, 5944, 13, 2140, 8778, 660, 3691, 323, 3090, 649, 387, 8336, 315, 19405, 505, 9419, 9211, 718, 689, 74110, 11, 80980, 35605, 22709, 306, 727, 11, 323, 73975, 362, 87247, 315, 902, 649, 3063, 311, 15748, 99857, 13, 763, 4689, 11, 279, 41991, 369, 31974, 7935, 323, 36947, 320, 74558, 8, 40912, 16558, 1193, 72178, 3090, 320, 1395 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2771, 433, 374, 264, 7878, 16893, 555, 13598, 279, 26418, 8, 323, 31526, 1234, 99797, 477, 7257, 15657, 320, 36046, 36581, 323, 26390, 705, 34479, 3956, 11, 12811, 18668, 11, 477, 3691, 430, 706, 1027, 5535, 311, 7155, 311, 3130, 9499, 13, 20817, 389, 279, 3224, 499, 690, 387, 17136, 11, 264, 5944, 2890, 28913, 649, 3493, 499, 449, 264, 4686, 1160, 315, 40409, 61003, 323, 19075, 3235, 449, 5995, 46850, 323, 3090, 77623, 7766, 627, 80245, 389, 701, 9284, 11, 4689, 2890, 15635, 649, 2134, 505, 279, 4279, 9439, 311, 13892, 764, 590, 34653, 13, 578, 4435, 6401, 21021, 320, 78847, 8, 58273, 69263, 439, 832, 315, 279, 1455, 6129, 15635, 311, 6625, 40386, 13, 1115, 13893, 19094, 8624, 11, 34699, 1555, 50646, 49433, 11, 13980, 304, 810, 1109, 220, 1041, 5961, 2345, 35676, 315, 902, 527, 5526, 34205, 11, 1778, 439, 12550, 11, 279, 35374, 11, 6890, 11, 15212, 11, 323, 4987, 10384, 13, 7429, 315, 4747, 527, 25474, 22041, 688, 481, 73975, 362, 323, 426, 11, 2225, 315, 902, 649, 5353, 26587, 5674, 627, 41348, 2890, 44335, 649, 3493, 499, 449, 2038, 922, 279, 1060, 21691, 2890, 15635, 430, 3073, 304, 701, 9284, 323, 5225, 499, 922, 502, 77871, 430, 1253, 31889, 4972, 311, 701, 892, 315, 5944, 13, 2435, 690, 1101, 3493, 499, 449, 279, 11349, 33119, 8200, 323, 46850, 311, 49071, 2403, 35148, 323, 1023, 49909, 13, 5046, 1925, 4747, 527, 279, 2768, 512, 12, 61245, 82801, 362, 477, 426, 2345, 69931, 11, 10913, 323, 4987, 5270, 11, 10384, 11, 279, 12877, 6460, 11, 13936, 11, 279, 35374, 11, 24024, 323, 18561, 4606, 198, 12, 386, 58016, 2345, 39563, 11, 10384, 11, 279, 12877, 6460, 11, 279, 4987, 16867, 11, 12550, 11, 18516, 4606, 11, 10913, 5270, 11, 323, 279, 35374, 198, 12, 18589, 261, 753, 69393, 2345, 42647, 5270, 11, 10384, 11, 13936, 11, 323, 279, 12877, 6460, 198, 12, 26541, 34653, 2345, 74691, 323, 4987, 5270, 198, 12, 921, 337, 2473, 2345, 58532, 15102, 13936, 198, 12, 14221, 764, 590, 2345, 39563, 11, 10384, 11, 19953, 9323, 198, 12, 11002, 665, 59822, 278, 20000, 2345, 58532, 15102, 13936, 198, 8142, 1063, 5961, 1193, 7079, 430, 15613, 636, 70558, 1603, 33111, 11, 3885, 1397, 47165, 439, 264, 3044, 315, 4441, 11, 323, 690, 25052, 2890, 7576, 311, 10356, 430, 279, 5995, 91971, 617, 1027, 4529, 13, 763, 1521, 5961, 11, 5606, 889, 706, 539, 1027, 70558, 1253, 387, 37965, 519, 1619, 3156, 814, 617, 1027, 11, 477, 15164, 4441, 31155, 13, 362, 5944, 2890, 28913, 649, 8417, 279, 47165, 8670, 369, 701, 9284, 11, 27185, 87018, 7607, 323, 3493, 499, 449, 279, 5995, 9904, 11, 1778, 439, 459, 7327, 32502, 315, 59788, 2617, 439, 1664, 439, 1023, 5944, 2890, 7576, 11, 902, 649, 387, 6177, 1603, 1855, 8577, 627, 41348, 40324, 8471, 198, 7927, 9284, 11, 3160, 315, 4822, 11, 74004, 11, 323, 3766, 6593, 3925, 527, 3062, 9547, 311, 2980, 994, 11125, 5944, 2890, 9650, 13, 578, 5687, 82, 520, 1455, 5944, 2890, 44335, 6824, 315, 35944, 323, 29198, 43195, 449, 28175, 12628, 304, 50600, 19338, 477, 35148, 16088, 13, 2435, 527, 15337, 311, 2274, 264, 5944, 2512, 3197, 32789, 311, 701, 3927, 2890, 3966, 26, 27185, 40300, 323, 57532, 15300, 369, 1499, 822, 477, 80337, 11, 296, 12055, 11, 323, 10485, 6985, 26, 323, 3350, 65835, 369, 46850, 323, 1023, 31010, 13, 1102, 374, 3062, 311, 1304, 459, 18101, 220, 19, 12, 21, 5672, 304, 12178, 315, 701, 8577, 13, 1115, 690, 3041, 499, 3403, 892, 311, 3240, 264, 69263, 25474, 68128, 422, 499, 1205, 311, 11, 323, 369, 91971, 311, 7916, 701, 22852, 1887, 1603, 701, 8577, 627, 644, 4689, 11, 3600, 3984, 555, 1455, 5944, 2890, 44335, 2997, 512, 12, 40409, 323, 40312, 2038, 922, 2890, 15635, 323, 19075, 304, 701, 3158, 315, 5944, 198, 12, 3723, 4273, 3314, 6011, 5944, 9819, 2490, 26, 99517, 2038, 198, 12, 5075, 10398, 3963, 42316, 3196, 389, 9284, 11, 3160, 315, 4822, 11, 323, 6593, 3925, 11, 2737, 1268, 311, 2512, 369, 21249, 4787, 1418, 21646, 198, 12, 1556, 3927, 1534, 3197, 315, 27344, 323, 6514, 11, 2737, 19075, 369, 3691, 323, 3090, 7296, 11, 323, 19075, 369, 31526, 27080, 1481, 17334, 19338, 198, 12, 59788, 12922, 369, 62937, 26, 73975, 362, 323, 426, 26, 14071, 34653, 26, 13892, 764, 590, 26, 1499, 822, 26, 28953, 59063, 3529, 15619, 700, 689, 26, 11002, 665, 59822, 278, 20000, 26, 80337, 11, 296, 12055, 11, 323, 10485, 6985, 26, 323, 31674, 552, 198, 12, 59788, 2617, 35537, 2631, 555, 1063, 5961, 1603, 4441, 198, 12, 95951, 83300, 477, 927, 10826, 64289, 31010, 369, 69393, 477, 65835, 369, 69263, 27344, 198, 12, 57316, 6593, 7576, 15182, 904, 3118, 17563, 439, 1664, 439, 6593, 3966, 198, 12, 362, 1160, 315, 11349, 16410, 477, 44335, 22917, 198, 12, 8245, 922, 63865, 753, 6593, 8276, 11, 902, 5825, 17049, 10401, 369, 6593, 69074, 320, 19171, 1817, 449, 701, 1510, 9287, 340, 12, 20756, 311, 8417, 3508, 904, 49909, 1051, 19426, 22917, 198, 12, 31969, 315, 904, 49909, 19426, 22917, 198, 14364, 7718, 13189, 315, 5944, 28913, 3600, 374, 1772, 10398, 3963, 2512, 13, 1115, 374, 8104, 3062, 369, 1884, 449, 21249, 4787, 323, 5606, 25051, 26048, 2890, 5435, 5304, 872, 471, 11, 2737, 279, 2768, 512, 12, 85001, 320, 26797, 14247, 6666, 422, 499, 617, 31796, 311, 459, 3158, 1405, 69263, 374, 46941, 340, 12, 17229, 3367, 42929, 477, 57455, 30020, 198, 12, 28049, 24673, 198, 8607, 24461, 323, 6593, 19169, 3493, 5944, 2890, 3600, 13, 578, 2768, 2816, 649, 3493, 499, 449, 264, 1160, 315, 5944, 2890, 44335, 304, 701, 3158, 25, 1795, 1129, 1277, 1129, 2185, 1031, 522, 7783, 14489, 22205, 3963, 76969, 23026, 388, 369, 31974, 7935, 323, 36947, 198, 23175, 4273, 3314, 6011, 198, 10343, 6401, 21021, 198, 32, 324, 6347, 6401, 10852, 18589, 388, 40324, 13, 800, 17718, 9498, 22917, 8638, 449, 9498, 9650, 520, 2162, 13, 16528, 520, 25, 1795, 1129, 2185, 13, 4202, 6347, 12393, 10727, 2726, 23054, 22205, 3963, 90365, 9199, 58290, 13, 98400, 5887, 220, 1049, 20, 627, 23026, 388, 369, 31974, 7935, 323, 36947, 13, 5075, 9976, 1772, 10398, 3963, 4689, 2890, 19075, 13 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6401, 8245, 369, 7327, 18589, 11, 220, 1049, 20, 12, 1049, 21, 13, 16528, 520, 25, 1795, 1129, 2185, 13, 17, 1031, 307, 522, 7783, 14489, 22205, 3963, 27589, 65, 14, 332, 4835, 27589, 65, 1991, 58290, 30, 2879, 28, 2827, 82, 5, 2347, 28, 14239, 19158, 771, 3880, 93934, 24165, 13, 98400, 5887, 220, 1049, 20, 627, 23026, 388, 369, 31974, 7935, 323, 36947, 13, 386, 58016, 323, 18589, 388, 13, 16528, 520, 25, 8604, 522, 7783, 14489, 3262, 58016, 22205, 3963, 9199, 24165, 13, 98400, 5887, 220, 1049, 20, 627, 23026, 388, 369, 31974, 7935, 323, 36947, 13, 59788, 2617, 32502, 34884, 369, 7286, 18589, 505, 279, 3723, 4273, 311, 7089, 54837, 13, 16528, 520, 25, 8604, 522, 7783, 14489, 22205, 3963, 5574, 4575, 12922, 2971, 531, 12, 71226, 17, 24165, 13, 98400, 5887, 220, 1049, 20, 627, 11830, 19152, 54943, 369, 58338, 13, 6401, 10852, 41994, 25, 18589, 67335, 2065, 13, 16528, 520, 25, 8604, 16928, 12816, 2000, 68956, 82, 916, 58762, 14, 98649, 92419, 24165, 13, 98400, 5887, 220, 1049, 20, 627, 11356, 78, 68133, 292, 916, 13, 8121, 5944, 25, 47396, 9293, 649, 5471, 17563, 13, 16528, 520, 25, 1795, 1129, 2185, 749, 352, 511, 3817, 292, 916, 18480, 7776, 522, 21796, 40225, 28, 90719, 11194, 1399, 13, 98400, 5887, 220, 1049, 20, 627, 53654, 9304, 315, 21073, 13, 6401, 54463, 2857, 315, 18589, 16842, 505, 1252, 81324, 311, 67661, 2194, 13, 16528, 520, 25, 1795, 1129, 12393, 2125, 62544, 86, 12871, 39281, 14, 6889, 1041, 14087, 18, 2628, 13, 98400, 5887, 220, 1049, 20, 627, 53654, 14710, 1898, 916, 13, 3778, 13581, 315, 18589, 51354, 17229, 713, 44454, 18589, 369, 83091, 13, 16528, 520, 25, 1795, 1129, 2185, 62123, 950, 943, 784, 1033, 916, 64075, 27583, 522, 21796, 30, 27583, 926, 28, 13121, 24, 5, 69, 1445, 60665, 13, 98400, 5887, 220, 1049, 20, 627, 53654, 3907, 315, 4987, 13030, 13, 18589, 40324, 13, 16528, 520, 25, 1795, 1129, 2185, 749, 355, 1557, 1902, 916, 14, 69216, 40946, 2754, 3037, 1919, 65314, 22205, 3963, 90365, 12196, 98400, 5887, 220, 1049, 20, 627, 10031, 264, 10896, 1603, 499, 5944, 13, 41991, 369, 31974, 7935, 323, 36947, 3997, 13, 16528, 520, 25, 1795, 1129, 2185, 1031, 522, 7783, 14489, 22205, 3963, 33280, 14, 4151, 30659, 5009, 24165, 13, 4388, 5887, 220, 2148, 11, 220, 1049, 23, 13, 16459, 6186, 220, 1032, 11, 220, 679, 16, 13, 98400, 6287, 220, 23, 11, 220, 679, 16, 627, 51, 360, 2194, 3907, 13, 40324, 91920, 18589, 388, 30990, 13, 16528, 520, 25, 1795, 1129, 2185, 17, 739, 360, 2194, 12871, 39281, 33585, 13563, 522, 21796, 30, 17064, 926, 28, 21228, 17, 13, 98400, 5887, 220, 1049, 20, 627, 2864, 395, 27872, 13235, 5955, 13, 18589, 261, 753, 6401, 8471, 13, 16528, 520, 25, 1795, 1129, 2185, 78351, 395, 10759, 22676, 2726, 14, 27054, 39152, 7682, 4890, 16664, 14, 2106, 21767, 23054, 22205, 3963, 388, 9199, 522, 21796, 13, 98400, 5887, 220, 1049, 20, 627, 31272, 315, 31461, 6401, 5955, 13, 578, 7327, 18589, 261, 753, 13235, 5475, 13, 16528, 520, 25, 1795, 1129, 12393, 14, 1412, 66, 12871, 14, 91899, 13069, 22205, 3963, 12196, 98400, 5887, 220, 1049, 20, 627, 31272, 315, 23481, 13235, 5955, 13, 18589, 19152, 13, 13002, 369, 279, 21182, 55709, 18589, 261, 13, 16528, 520, 25, 1795, 1129, 2185, 13, 27054, 12871, 22205, 3963, 4951, 35805, 24165, 36745, 291, 6182, 291, 5887, 220, 1049, 20, 627, 31272, 315, 8421, 6401, 8471, 13, 18589, 19152, 13, 16528, 520, 25, 1795, 1129, 2185, 13, 952, 739, 13183, 12871, 14, 952, 82, 22205, 3963, 2628, 13, 98400, 5887, 220, 1049, 20, 627, 23175, 4273, 3314, 6011, 13, 13235, 8245, 369, 9053, 18589, 287, 3765, 8714, 13, 16528, 520, 25, 1795, 1129, 49610, 3551, 14489, 22205, 3963, 5640, 3153, 14, 12393, 14, 12393, 62, 8899, 20, 2628, 13, 98400, 5887, 220, 1049, 20, 627, 53, 8363, 70824, 7327, 18589, 40324, 13, 6401, 8471, 1472, 4805, 38522, 4740, 1472, 3494, 13, 16528, 520, 25, 1795, 1129, 2185, 3211, 8363, 70824, 49610, 90365, 916, 23054, 14, 10924, 2628, 13, 98400, 5887, 220, 1049, 20, 627, 53, 8363, 70824, 7327, 18589, 40324, 13, 6401, 8471, 1472, 4805, 38522, 13538, 499, 5944, 13, 16528, 520, 25, 1795, 1129, 2185, 3211, 8363, 70824, 90365, 916, 23054, 3554, 4746, 2628, 13, 98400, 5887, 220, 1049, 20, 627, 5966, 22690, 6287, 220, 679, 16, 555, 17520, 68444, 11, 14306, 198, 5618, 387, 8010, 430, 420, 2038, 374, 3984, 311, 22822, 279, 2512, 3984, 555, 701, 28378, 13, 1102, 374, 14188, 10825, 6463, 6259, 311, 387, 264, 28779, 369, 6721, 6593, 9650, 13, 26836, 21592, 73725, 34, 4577, 15843, 643, 69493, 36932, 9109, 11812, 15334, 93219, 15334, 40330, 19102, 362, 52699, 15942, 17329, 643, 88774, 13, 24119, 6056, 279, 9650, 315, 701, 28378, 477, 1023, 15337, 2890, 9287, 4972, 311, 6041, 904, 502, 6514, 477, 449, 904, 4860, 499, 1253, 617, 9002, 264, 6593, 3044, 13, 128001, 128000, 32641, 94697, 374, 264, 955, 315, 13465, 13, 1102, 4131, 505, 3691, 11, 323, 374, 1101, 3549, 304, 279, 26587, 13, 8444, 94697, 35292, 1555, 279, 2547, 304, 279, 6680, 13, 1102, 11031, 505, 279, 6680, 311, 7917, 449, 279, 1520, 315, 264, 36908, 2663, 32152, 13, 9843, 34323, 374, 304, 1884, 7917, 11, 433, 649, 387, 1511, 369, 4907, 627, 22427, 16629, 374, 264, 3044, 430, 3727, 433, 5107, 369, 279, 2547, 311, 1005, 34323, 13, 1115, 11384, 264, 86765, 315, 34323, 304, 279, 6680, 13, 1102, 1101, 3445, 279, 2547, 374, 539, 3794, 3403, 4907, 13, 4078, 220, 17, 20335, 374, 832, 955, 315, 20335, 13, 1102, 374, 279, 1455, 4279, 955, 627, 13613, 20901, 11, 19433, 4442, 11, 323, 16967, 649, 1520, 2585, 6680, 34323, 5990, 627, 941, 220, 17, 20335, 374, 3629, 9057, 555, 264, 10824, 315, 9547, 13, 3861, 8331, 374, 430, 701, 2547, 12302, 311, 1304, 2753, 32152, 13, 362, 2132, 8331, 374, 430, 701, 2547, 9221, 31785, 311, 32152, 13, 1115, 3445, 1070, 374, 32152, 304, 701, 2547, 11, 719, 701, 2547, 4250, 1005, 433, 13750, 13, 9925, 24292, 13957, 374, 3629, 5552, 311, 13937, 2547, 8834, 627, 791, 10896, 690, 2610, 922, 701, 13803, 323, 6593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3925, 13, 1472, 690, 1101, 387, 4691, 922, 701, 3070, 3925, 13, 362, 7106, 7151, 690, 387, 2884, 627, 22427, 50915, 374, 3196, 389, 279, 3135, 315, 6680, 7649, 13, 3778, 53689, 10229, 320, 33393, 8, 40912, 23842, 387, 1903, 422, 499, 617, 832, 315, 279, 2768, 512, 29012, 52273, 315, 20335, 323, 264, 198, 11719, 6680, 1296, 198, 4291, 264, 6680, 13465, 2237, 7191, 1109, 477, 6273, 311, 220, 1049, 14060, 3529, 43, 320, 806, 13, 16, 9653, 337, 7586, 340, 12, 435, 15067, 6680, 13465, 1296, 2345, 17911, 1306, 499, 617, 539, 35661, 369, 8223, 477, 810, 4207, 2345, 55963, 6680, 13465, 5990, 7191, 1109, 477, 6273, 311, 220, 9390, 14060, 3529, 43, 320, 22, 9653, 337, 7586, 8, 389, 1403, 2204, 2919, 198, 12, 8444, 94697, 25065, 1296, 2345, 7979, 69774, 6680, 13465, 1403, 4207, 1306, 499, 8343, 34323, 2345, 55963, 34323, 5990, 7191, 1109, 477, 6273, 311, 220, 1049, 14060, 3529, 43, 320, 806, 13, 16, 9653, 337, 7586, 340, 12, 473, 65, 32, 16, 66, 2237, 315, 220, 21, 13, 20, 4, 477, 5190, 2345, 1451, 25858, 8009, 6680, 13465, 2585, 927, 279, 3347, 220, 17, 12, 19, 4038, 198, 12591, 3529, 43, 284, 2606, 84209, 824, 1654, 321, 2058, 315, 6680, 26, 9653, 337, 7586, 284, 2606, 318, 1286, 824, 7080, 315, 6680, 198, 99654, 22262, 311, 512, 12, 87477, 6680, 13465, 520, 5990, 439, 3345, 311, 4725, 439, 3284, 198, 12, 39168, 477, 7781, 36505, 198, 12, 7935, 1023, 4787, 430, 499, 1253, 617, 11, 1093, 1579, 6680, 7410, 323, 1579, 39086, 198, 27844, 323, 21662, 617, 264, 2167, 2515, 389, 701, 6680, 34323, 2237, 13, 60638, 9498, 21644, 649, 1520, 499, 2585, 701, 6680, 34323, 13, 1102, 690, 1101, 1520, 701, 8244, 2890, 13, 4427, 6913, 10631, 2997, 512, 2746, 499, 527, 50254, 11, 4785, 4814, 690, 1520, 701, 2547, 1005, 32152, 2731, 13, 19513, 311, 701, 10896, 922, 264, 9498, 4785, 5915, 13, 1472, 323, 701, 10896, 477, 10173, 79544, 649, 1304, 264, 6220, 15496, 3197, 369, 499, 627, 9673, 2671, 1253, 1520, 499, 9229, 4785, 512, 40353, 5820, 649, 512, 12, 7557, 279, 2547, 810, 16614, 311, 32152, 198, 12, 11736, 499, 5662, 323, 10519, 264, 9498, 4785, 198, 12, 28636, 279, 5990, 315, 8834, 304, 701, 6680, 198, 64562, 374, 904, 5820, 430, 12992, 701, 4851, 4478, 13, 40980, 4967, 8779, 1977, 16124, 8333, 13, 11995, 4595, 315, 10368, 1520, 311, 7417, 198, 4930, 9860, 34323, 2585, 13, 29900, 10368, 649, 1101, 1520, 8108, 701, 5326, 315, 4851, 8624, 627, 37310, 311, 701, 10896, 922, 459, 5820, 3197, 13, 21069, 922, 904, 61003, 499, 1253, 1205, 311, 1935, 627, 65542, 39653, 690, 1520, 311, 10299, 6680, 34323, 5990, 627, 13613, 20901, 4529, 555, 11013, 1253, 2997, 512, 12, 6344, 630, 258, 2345, 1271, 8108, 279, 3392, 315, 34323, 1903, 555, 279, 2547, 323, 311, 1304, 279, 2547, 810, 16614, 311, 32152, 198, 13613, 124085, 430, 15253, 279, 62268, 300, 311, 1304, 810, 32152, 1778, 439, 26858, 13474, 75, 554, 300, 320, 23797, 11490, 579, 345, 21220, 1394, 66796, 705, 1891, 375, 418, 307, 4010, 1069, 418, 307, 521, 12, 19, 68642, 320, 82, 710, 80156, 418, 258, 345, 15841, 24292, 74633, 12509, 1778, 439, 198, 2554, 540, 32735, 1394, 606, 2345, 1271, 1520, 279, 2547, 1005, 32152, 2731, 198, 626, 1132, 84235, 1778, 439, 198, 76, 343, 75, 27094, 2345, 1271, 18979, 279, 3392, 315, 34323, 42101, 1139, 279, 6680, 198, 8538, 16088, 3966, 311, 387, 2728, 1555, 65246, 11, 1778, 439, 512, 644, 4523, 258, 1474, 318, 25265, 1778, 439, 198, 54754, 6468, 279, 62268, 300, 311, 8356, 32152, 323, 18979, 38575, 320, 4919, 7945, 449, 4785, 4814, 340, 76109, 3817, 24291, 82, 1778, 439, 198, 8319, 264, 13128, 315, 279, 62268, 300, 430, 374, 3428, 304, 1274, 449, 955, 220, 17, 20335, 198, 15841, 24292, 1253, 387, 4460, 422, 512, 12, 578, 2547, 1587, 539, 1304, 3403, 315, 1202, 1866, 32152, 627, 12, 20671, 34323, 5990, 4250, 387, 14400, 449, 19433, 4442, 323, 16088, 627, 15841, 24292, 374, 2728, 1555, 65246, 627, 52586, 8444, 94697, 27866, 198, 2675, 649, 1817, 279, 2237, 315, 34323, 304, 701, 6680, 449, 264, 6680, 34323, 23819, 13, 47193, 701, 6680, 34323, 5990, 198, 82977, 279, 1938, 649, 1520, 499, 4822, 389, 3839, 13, 1102, 690, 1101, 1520, 701, 10896, 8417, 422, 701, 6514, 374, 3318, 13, 56478, 3839, 315, 6680, 13465, 5990, 374, 5423, 3062, 422, 499, 1935, 32152, 627, 31504, 7649, 1253, 539, 387, 4460, 422, 701, 20335, 374, 1234, 2585, 323, 499, 1541, 956, 1935, 32152, 13, 19513, 449, 701, 10896, 1603, 23351, 6680, 13465, 16967, 627, 18864, 1101, 387, 2884, 520, 701, 10896, 596, 5274, 13, 1115, 374, 264, 6767, 315, 6680, 34323, 2585, 927, 264, 1317, 4261, 315, 892, 13, 54943, 32113, 430, 1455, 1274, 2567, 872, 473, 65, 32, 16, 66, 5990, 3770, 220, 22, 14697, 4718, 4839, 5915, 1253, 387, 2204, 13, 56478, 473, 65, 32, 16, 66, 304, 701, 5915, 2134, 649, 1520, 4827, 279, 6140, 315, 36505, 627, 95943, 4522, 32388, 315, 13620, 10939, 198, 1959, 264, 1317, 4261, 315, 892, 11, 1579, 6680, 34323, 5990, 649, 5674, 16595, 36853, 13, 578, 81960, 11, 6548, 11, 323, 50581, 527, 1455, 11754, 13, 53689, 649, 1101, 5376, 701, 5326, 315, 4851, 8624, 627, 67834, 2101, 5915, 6680, 34323, 5990, 374, 279, 1176, 3094, 311, 46301, 701, 5326, 315, 1521, 36505, 13, 7089, 7504, 2997, 512, 12, 12040, 1695, 2512, 315, 701, 7693, 13, 2893, 389, 279, 72015, 369, 904, 779, 417, 477, 84971, 5789, 13, 13969, 701, 7693, 9235, 323, 4335, 627, 12, 12522, 701, 6548, 10273, 3131, 264, 1060, 627, 12, 4418, 956, 16603, 13, 1442, 499, 656, 11, 1427, 369, 7620, 477, 3956, 430, 649, 1520, 499, 17257, 627, 12, 9878, 6593, 21728, 439, 11349, 13, 128001, 128000, 10944, 4510, 420, 374, 279, 1176, 892, 45964, 16600, 15207, 8481, 706, 1027, 13468, 304, 384, 3178, 661, 6429, 520, 1778, 5569, 1359, 2795, 10195, 3229, 82098, 2895, 343, 30303, 85, 315, 93157, 622, 29134, 13, 330, 2028, 4007, 5334, 603, 12401, 311, 26073, 279, 22520, 20057, 4028, 279, 84535, 315, 1891, 66650, 11, 27448, 30450, 11, 7865, 750 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11, 719, 584, 2103, 9167, 956, 3686, 11497, 682, 279, 12062, 91670, 555, 279, 21389, 20162, 555, 279, 1023, 77314, 10246, 3915, 11012, 11, 279, 1891, 22612, 28088, 7397, 74767, 11, 323, 505, 10099, 279, 5788, 315, 53560, 64, 13, 18943, 1565, 1424, 24031, 430, 279, 1891, 22612, 5829, 53560, 64, 311, 3637, 47503, 11, 539, 311, 22472, 433, 1093, 10099, 656, 11, 1606, 47503, 374, 264, 27498, 50123, 304, 279, 18435, 13, 3639, 596, 810, 11, 279, 13987, 453, 6885, 27741, 279, 1888, 315, 2225, 24800, 275, 649, 5625, 8834, 1139, 13465, 11, 439, 1664, 439, 13465, 1139, 8834, 428, 54358, 5505, 304, 3115, 315, 50123, 39259, 627, 791, 2128, 27470, 810, 1109, 220, 3101, 21389, 42211, 505, 24032, 323, 1766, 304, 2225, 4595, 315, 1891, 66650, 11, 22364, 311, 872, 14154, 6371, 323, 23377, 11775, 24717, 315, 18646, 37493, 2000, 3187, 50549, 315, 17808, 12782, 323, 47503, 438, 54626, 57016, 505, 872, 4676, 627, 35, 10574, 7085, 11, 43669, 7913, 555, 37067, 46793, 1816, 12970, 44054, 1903, 315, 9168, 11, 527, 1193, 922, 832, 30277, 315, 264, 42589, 315, 7013, 304, 23899, 13, 330, 791, 1891, 22612, 85381, 690, 1520, 603, 311, 3619, 1268, 814, 649, 1304, 1521, 14726, 520, 35288, 20472, 323, 40850, 11, 2555, 430, 12966, 527, 539, 3025, 311, 656, 13, 1442, 584, 649, 4048, 1268, 814, 656, 433, 11, 584, 1436, 1825, 709, 682, 13124, 315, 502, 20622, 45860, 9268, 11, 1093, 369, 4857, 57863, 51692, 24512, 477, 369, 94612, 8522, 1359, 2795, 18943, 1565, 627, 35, 10574, 7085, 48383, 304, 7878, 477, 12290, 3090, 323, 649, 387, 18255, 1139, 1403, 29135, 11, 2960, 6329, 323, 44049, 988, 13, 578, 2960, 2265, 666, 278, 395, 3614, 9008, 52280, 264, 4883, 330, 26479, 9034, 531, 1, 17604, 3830, 320, 3323, 1790, 9333, 8, 323, 44049, 988, 1093, 2405, 6043, 347, 533, 28433, 1427, 810, 1093, 264, 5425, 1990, 264, 712, 26429, 526, 323, 264, 15376, 2380, 88695, 291, 52677, 768, 279, 9606, 836, 11, 490, 51456, 332, 372, 13, 2876, 1193, 374, 872, 6211, 323, 39646, 30963, 198, 91, 8906, 25, 6941, 46092, 7511, 5989, 36, 32801, 787, 82917, 10181, 128001, 128000, 5451, 3596, 2167, 19179, 315, 279, 9420, 753, 12984, 198, 9688, 2601, 1705, 527, 67638, 287, 279, 17140, 315, 279, 9420, 753, 8183, 1701, 279, 1917, 753, 1455, 15528, 10264, 21120, 198, 32, 1912, 449, 12074, 520, 279, 27766, 3907, 315, 47304, 320, 51, 2864, 8, 323, 279, 12411, 16784, 369, 13416, 5814, 323, 4323, 2601, 88, 320, 33, 44016, 8, 527, 279, 1176, 311, 7234, 4442, 304, 279, 9420, 753, 8183, 1555, 27692, 22323, 13, 2057, 656, 420, 11, 814, 20968, 279, 1917, 753, 1455, 15528, 10264, 21120, 304, 459, 26326, 10278, 323, 1511, 433, 311, 8417, 4442, 304, 279, 9420, 753, 12984, 13, 59787, 11, 14248, 1051, 1193, 3025, 311, 3839, 29735, 304, 279, 25685, 8183, 46345, 555, 16967, 8521, 6302, 304, 3634, 13, 17013, 1711, 279, 37300, 315, 279, 9420, 753, 8183, 323, 1202, 92371, 15798, 374, 16996, 369, 24473, 68647, 2038, 389, 9420, 1389, 323, 8617, 369, 279, 13687, 31301, 315, 6617, 10873, 6067, 11, 369, 2937, 13, 578, 14248, 529, 990, 706, 1027, 15324, 459, 4204, 278, 8483, 81399, 555, 279, 3778, 28479, 13581, 627, 791, 9420, 289, 21046, 645, 13, 9086, 264, 38960, 1948, 24891, 304, 5209, 82006, 11, 1202, 92371, 8183, 39388, 52085, 304, 12976, 311, 3634, 13, 1115, 374, 28135, 9057, 555, 29059, 7709, 505, 279, 7160, 323, 279, 18266, 13, 2468, 279, 1890, 892, 11, 279, 9420, 753, 92371, 8183, 15320, 4442, 8844, 311, 279, 9420, 753, 7479, 13, 1952, 279, 832, 1450, 11, 420, 374, 9057, 555, 23851, 304, 45475, 7410, 11, 18435, 8441, 323, 10160, 13, 4314, 5540, 16343, 304, 459, 2515, 3967, 439, 279, 61448, 289, 96950, 311, 1893, 25685, 11633, 13, 41559, 1306, 279, 28568, 889, 11352, 433, 11, 420, 25885, 706, 264, 4261, 315, 2212, 220, 19305, 2919, 13, 1952, 279, 1023, 1450, 11, 459, 1567, 3967, 439, 279, 1054, 64709, 289, 96950, 863, 11384, 279, 92371, 8183, 311, 3351, 927, 264, 4261, 315, 264, 1060, 13, 1115, 374, 4245, 311, 279, 9420, 753, 78883, 950, 27605, 2212, 279, 7160, 13, 4314, 1403, 6372, 5353, 279, 9420, 753, 8183, 311, 45666, 42408, 398, 3235, 264, 28029, 1853, 449, 264, 10801, 315, 709, 311, 4848, 20645, 627, 41636, 1711, 1521, 19567, 374, 16996, 311, 1893, 264, 15062, 16580, 1887, 430, 649, 5510, 10873, 6067, 477, 2447, 35782, 13006, 304, 3634, 5944, 13, 1054, 9330, 1113, 264, 1486, 311, 279, 4839, 2960, 26402, 369, 3728, 39825, 374, 459, 9193, 8915, 1920, 1389, 1306, 682, 11, 520, 1057, 21518, 11, 584, 527, 7366, 520, 2212, 220, 8652, 20645, 311, 279, 11226, 824, 2132, 2476, 15100, 8626, 13, 35131, 16991, 14172, 5124, 265, 8799, 11, 37318, 439, 8216, 7690, 315, 279, 3980, 347, 5411, 9466, 5382, 468, 7211, 98329, 1405, 279, 10264, 21120, 374, 23183, 13, 35131, 16991, 14172, 5124, 265, 8799, 1047, 15910, 279, 2447, 304, 350, 2864, 753, 8483, 11360, 61657, 4323, 2601, 88, 13, 578, 3980, 347, 5411, 9466, 5382, 468, 7211, 98329, 374, 1629, 3871, 555, 350, 2864, 323, 426, 44016, 627, 791, 12074, 617, 26399, 304, 79819, 1113, 279, 61448, 323, 9974, 289, 96950, 22323, 3196, 389, 279, 828, 17439, 555, 9063, 78513, 19031, 13, 2435, 1457, 9395, 311, 1304, 279, 41705, 810, 13687, 11, 28462, 1124, 311, 8417, 4442, 304, 279, 9420, 753, 92371, 8183, 927, 264, 3254, 1938, 13, 578, 14248, 1101, 3197, 311, 1304, 279, 10264, 21120, 13171, 315, 19815, 5784, 779, 430, 433, 649, 1629, 369, 264, 4261, 315, 1667, 2085, 904, 86365, 13, 1054, 644, 4382, 3878, 2476, 45537, 5124, 265, 8799, 11, 1054, 258, 3938, 11, 584, 1390, 311, 387, 3025, 311, 1120, 2477, 1523, 1139, 279, 31741, 323, 1505, 704, 1268, 5043, 279, 9420, 374, 30357, 13353, 1314, 1457, 10246, 2520, 810, 2038, 4587, 4034, 279, 70514, 90366, 35689, 1795, 1129, 39053, 12905, 83, 372, 2337, 4420, 22550, 267, 6853, 4420, 22550, 1800, 56732, 11856, 14, 14710, 17064, 62, 679, 7261, 508, 62, 1041, 22488, 28455, 7203, 7268, 4710, 128001, 128000, 849, 35128, 315, 2650, 2057, 4557, 1628, 8595, 555, 53215, 25517, 198, 48885, 220, 17 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 315, 220, 20, 340, 46760, 49517, 1398, 35128, 198, 40, 2543, 311, 5403, 439, 264, 58229, 550, 7332, 11, 4856, 1109, 439, 459, 16627, 20790, 13, 578, 1648, 584, 1373, 1457, 11, 994, 584, 527, 7636, 449, 13520, 11, 52944, 24779, 50106, 449, 279, 3347, 11, 4869, 433, 374, 10887, 304, 279, 10623, 11288, 13, 3092, 10728, 6742, 320, 438, 51263, 12084, 8, 374, 2999, 13, 33007, 11605, 11, 889, 7020, 323, 13605, 2225, 279, 2410, 323, 279, 20893, 315, 92947, 519, 5403, 13, 9086, 1475, 1023, 5820, 315, 279, 4059, 11, 433, 2011, 27651, 11605, 596, 10461, 4747, 11, 902, 374, 449, 330, 12840, 4131, 3221, 311, 1057, 726, 11, 1148, 584, 649, 2231, 311, 1005, 1210, 17177, 26184, 62484, 11, 889, 3984, 1063, 315, 279, 6848, 430, 11605, 2231, 311, 1005, 11, 51287, 6688, 279, 9650, 25, 330, 4518, 539, 311, 43561, 323, 2389, 1088, 11, 6463, 311, 4510, 323, 1935, 369, 11938, 11, 6463, 311, 1505, 3137, 323, 41602, 11, 719, 311, 17988, 323, 2980, 1210, 358, 923, 311, 62484, 323, 11605, 264, 4948, 39361, 315, 5403, 11, 80554, 11, 42442, 9354, 315, 3925, 323, 315, 682, 18526, 13978, 11, 889, 61414, 430, 279, 1888, 6603, 330, 318, 1911, 603, 449, 279, 29191, 11, 430, 832, 7138, 6267, 323, 279, 1890, 16181, 1210, 6914, 757, 32802, 62484, 11, 11605, 11, 323, 80554, 1139, 264, 15150, 315, 1268, 311, 1373, 25, 1505, 1148, 4131, 3221, 311, 499, 430, 649, 387, 2231, 311, 279, 1005, 315, 47826, 323, 13126, 11, 323, 430, 14564, 499, 439, 3582, 499, 4430, 279, 832, 7138, 11, 1949, 315, 892, 596, 78001, 13, 2394, 351, 76, 7167, 430, 3445, 11, 1176, 1505, 42482, 11, 323, 1095, 1461, 1505, 499, 13, 1442, 6342, 61078, 374, 7373, 311, 1505, 499, 11, 1243, 17988, 323, 2980, 279, 7138, 433, 13551, 449, 499, 26, 1202, 4597, 24639, 311, 6261, 13, 358, 656, 539, 30730, 420, 439, 459, 10728, 2191, 11, 719, 439, 264, 52451, 8637, 2191, 13, 78990, 279, 31926, 311, 1005, 439, 264, 12458, 2403, 29325, 15630, 374, 311, 75751, 731, 701, 1866, 10461, 12034, 11, 8104, 439, 264, 3995, 5333, 11, 902, 10578, 4856, 810, 11245, 950, 1109, 433, 374, 13, 42482, 11, 810, 1109, 34940, 511, 645, 11, 374, 279, 304, 3380, 391, 481, 11447, 5304, 958, 7642, 1697, 12324, 11, 323, 810, 1109, 5606, 775, 11, 5304, 279, 12062, 1990, 3278, 323, 3026, 13, 2893, 1825, 311, 264, 2539, 5403, 315, 6342, 61078, 11, 323, 499, 690, 3619, 2731, 279, 33472, 315, 1148, 499, 11913, 311, 387, 29325, 15630, 627, 67343, 584, 1373, 1198, 439, 62484, 11, 11605, 11, 323, 80554, 7655, 1198, 304, 2015, 311, 20259, 279, 659, 11, 323, 311, 4048, 1202, 13513, 12034, 13, 1226, 3217, 1778, 49806, 811, 439, 17069, 11, 902, 1253, 387, 3249, 37637, 2819, 617, 2744, 1027, 32690, 555, 3674, 16033, 1705, 11, 505, 69161, 1555, 1057, 1510, 15679, 14874, 275, 598, 13, 578, 72974, 315, 5403, 13118, 527, 45743, 4856, 1109, 3674, 13, 1472, 4250, 6089, 7417, 5606, 775, 596, 2324, 555, 5403, 2731, 477, 810, 17693, 13, 358, 7293, 44929, 315, 279, 8776, 3674, 3987, 430, 2512, 369, 3885, 1253, 387, 81471, 555, 279, 6650, 315, 3927, 28899, 11, 323, 358, 1097, 55274, 315, 904, 6105, 36734, 430, 4667, 279, 72974, 315, 58229, 5403, 311, 279, 586, 1695, 627, 791, 58596, 315, 6721, 5403, 374, 430, 499, 1421, 12114, 1193, 19029, 279, 17069, 315, 5403, 499, 7020, 304, 12822, 11, 994, 6603, 1051, 264, 32595, 75, 1468, 1122, 93339, 13, 578, 1648, 584, 1373, 1457, 28135, 14117, 5304, 1057, 6138, 11, 9358, 477, 16335, 11, 505, 279, 23978, 11, 1405, 5403, 374, 80987, 15972, 439, 264, 17069, 11, 304, 904, 315, 279, 19662, 38207, 315, 279, 67323, 315, 17069, 13, 41137, 6261, 311, 264, 2167, 48853, 449, 42482, 520, 813, 31005, 11, 439, 304, 6342, 61078, 11, 374, 2646, 459, 4228, 17069, 11, 3508, 304, 12822, 477, 304, 4325, 11, 323, 3686, 539, 311, 1373, 6342, 61078, 7373, 320, 8370, 3445, 2085, 42933, 17078, 8, 374, 311, 387, 19329, 275, 3210, 439, 1664, 439, 27914, 14122, 2740, 711, 969, 38477, 13, 362, 20587, 14090, 7543, 10307, 12707, 36508, 311, 459, 83909, 449, 264, 6500, 11, 323, 279, 12374, 21879, 264, 5575, 17821, 311, 10788, 279, 24710, 430, 584, 2011, 46753, 1057, 2133, 16472, 1524, 439, 1057, 2133, 305, 2544, 25, 24169, 24639, 374, 682, 13, 18242, 17503, 10980, 11, 323, 1790, 315, 279, 659, 1156, 10385, 449, 433, 13, 2052, 420, 374, 3347, 51472, 287, 11, 323, 690, 539, 387, 34630, 1142, 555, 904, 77541, 477, 7620, 13, 3639, 374, 311, 387, 2884, 649, 1193, 387, 10887, 555, 1063, 2373, 315, 31160, 2191, 11, 323, 430, 374, 1457, 44085, 11, 369, 8125, 2225, 1695, 323, 3958, 13, 2684, 527, 2103, 58229, 13016, 11, 3995, 323, 2362, 11, 17277, 11, 1524, 304, 279, 23978, 13, 1442, 1070, 374, 264, 734, 315, 19347, 520, 279, 3118, 892, 11, 433, 2011, 387, 311, 2686, 5196, 311, 279, 58229, 6742, 11, 889, 16181, 369, 11937, 11, 323, 539, 369, 279, 12034, 430, 33828, 74809, 279, 659, 627, 13857, 7388, 220, 1049, 15, 555, 53215, 25517, 13, 2052, 3268, 4694, 13, 3402, 30317, 555, 8041, 315, 279, 21959, 11, 22021, 612, 5124, 5100, 13, 128001, 128000, 20171, 48778, 1163, 34869, 287, 80354, 871, 20915, 768, 57204, 871, 3623, 8758, 39, 6235, 1999, 3039, 48778, 3413, 220, 16, 82626, 3039, 14307, 871, 14026, 220, 17, 12, 77129, 48778, 871, 14026, 220, 18, 82626, 3039, 48778, 6235, 13613, 20901, 11, 644, 13421, 323, 15766, 315, 10852, 34186, 11500, 7767, 45, 9580, 220, 17, 320, 4450, 220, 17, 52456, 22386, 4364, 824, 7508, 340, 13613, 20901, 11, 644, 13421, 323, 15766, 315, 10852, 34186, 11500, 7767, 45, 9580, 220, 17, 320, 4450, 220, 17, 340, 31912, 20143, 2461, 304, 75096, 9029, 449, 264, 21579, 75368, 627, 2028, 374, 459, 38156, 3388, 369, 1884, 46227, 311, 636, 264, 5165, 20143, 2461, 304, 75096, 9029, 449, 264, 21579, 75368, 627, 2181, 374, 14791, 369, 1884, 3318, 449, 81211, 481, 58338, 323, 15394, 627, 12, 9207, 315, 264, 2512, 12128, 198, 3413, 596, 13896, 315, 26517, 768, 198, 6806, 33815, 811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10217, 279, 89444, 11, 36693, 287, 11, 86661, 11, 5942, 323, 34545, 315, 24099, 627, 6806, 12851, 367, 4947, 198, 6806, 3308, 7174, 315, 24099, 198, 6806, 21431, 315, 24099, 198, 6806, 34496, 11543, 92937, 82, 315, 86661, 24099, 627, 6806, 23088, 6725, 315, 24099, 627, 6806, 47193, 11, 61647, 612, 10494, 57580, 315, 24099, 627, 6806, 12851, 367, 17128, 3335, 11071, 198, 6806, 2876, 287, 323, 13122, 4442, 311, 7931, 627, 6806, 2467, 4550, 25481, 311, 24099, 627, 6806, 47193, 315, 1221, 2221, 14, 86184, 811, 24797, 7231, 3927, 5105, 989, 51236, 627, 6806, 94100, 315, 24099, 75620, 198, 6806, 23088, 34545, 315, 24099, 627, 6806, 75096, 7931, 889, 527, 659, 86661, 24099, 627, 9207, 315, 264, 2512, 12128, 627, 6806, 52007, 612, 28423, 12, 10852, 7640, 198, 6806, 88516, 10396, 323, 16346, 198, 6806, 6247, 315, 6725, 198, 6806, 22938, 304, 15664, 449, 3885, 627, 6806, 34186, 5133, 14, 20958, 6721, 23546, 627, 6806, 61647, 3927, 2512, 6787, 627, 27844, 19220, 323, 763, 13421, 7935, 627, 6806, 33815, 811, 10217, 19405, 2585, 198, 6806, 48023, 1450, 28786, 612, 53056, 198, 6806, 5560, 315, 29219, 17895, 627, 6806, 47755, 315, 39897, 1154, 627, 6806, 23088, 11850, 315, 57749, 198, 6806, 23088, 34545, 315, 14830, 12571, 627, 6806, 23088, 5942, 315, 3691, 627, 6806, 82238, 315, 29374, 35189, 11, 72230, 612, 24198, 627, 6806, 2876, 23444, 19338, 12, 469, 1326, 13, 29433, 7934, 11, 88234, 11, 2522, 98141, 11, 2010, 326, 560, 5099, 627, 36724, 7817, 323, 11799, 4007, 198, 5618, 5268, 264, 12541, 75664, 512, 91, 19701, 11, 912, 13003, 2561, 520, 279, 4545, 57370, 128001, 128000, 14788, 704, 279, 1376, 3770, 311, 198, 3990, 704, 422, 499, 617, 264, 1162, 627, 32, 502, 2068, 374, 3339, 7106, 323, 65195, 15419, 810, 17125, 369, 12884, 449, 60745, 281, 60384, 13, 12362, 279, 8191, 11, 279, 2068, 34161, 6822, 60745, 281, 60384, 6978, 311, 1054, 26752, 51191, 863, 889, 1520, 1124, 4686, 7351, 6108, 4967, 505, 279, 6981, 315, 872, 1866, 10632, 627, 791, 31714, 13903, 65, 16543, 323, 37357, 6826, 11, 1101, 3967, 439, 22931, 1305, 32, 11, 374, 961, 315, 264, 10496, 3495, 323, 7351, 15419, 2447, 20034, 520, 10695, 12884, 889, 617, 8582, 48694, 323, 1450, 53317, 627, 2118, 40353, 323, 65195, 15419, 527, 279, 1455, 3062, 22972, 369, 60745, 281, 60384, 13, 578, 22931, 1305, 32, 2068, 4375, 449, 279, 4623, 315, 12967, 15419, 1139, 279, 2162, 311, 2187, 12884, 311, 656, 872, 15419, 520, 264, 892, 430, 753, 17125, 369, 1124, 2476, 1071, 2999, 13, 22653, 21670, 85, 11289, 315, 279, 3907, 315, 14972, 627, 86245, 24435, 304, 279, 2068, 617, 872, 10632, 19167, 449, 279, 6500, 6108, 4967, 5089, 11, 264, 4967, 11325, 11, 323, 264, 1579, 30699, 8191, 3717, 13, 2435, 1243, 4686, 4330, 220, 1272, 24401, 4967, 16079, 264, 2046, 927, 279, 3388, 315, 459, 8223, 30609, 4261, 627, 14305, 6500, 3834, 304, 279, 3927, 753, 2162, 5764, 6500, 16581, 5448, 315, 1274, 42949, 11, 323, 584, 1101, 617, 1274, 304, 1057, 10278, 889, 527, 3025, 311, 7395, 323, 3493, 51475, 311, 13324, 4669, 3566, 18632, 13, 21347, 8599, 311, 279, 6978, 6276, 603, 311, 5719, 872, 2068, 439, 4460, 11, 2085, 1124, 5108, 1139, 279, 3495, 10278, 477, 28913, 2476, 1071, 31033, 10690, 11, 2405, 920, 627, 49488, 11, 889, 67146, 279, 18079, 7935, 11868, 520, 279, 549, 5364, 6150, 315, 735, 1572, 31226, 11, 1071, 430, 279, 5557, 706, 1054, 8110, 4754, 311, 1825, 709, 279, 1917, 369, 1274, 889, 617, 31139, 4819, 49216, 4054, 60745, 281, 60384, 8893, 11, 220, 3174, 4771, 6418, 30928, 2895, 481, 11, 37475, 279, 2447, 627, 14305, 22931, 1305, 32, 2447, 374, 264, 3094, 9017, 7366, 60745, 281, 60384, 6514, 1139, 279, 220, 1691, 357, 9478, 13, 2684, 753, 279, 4754, 311, 7216, 704, 1268, 311, 7417, 2134, 315, 11633, 323, 7446, 4367, 315, 2324, 369, 1274, 449, 15643, 2476, 1364, 1071, 13, 128001, 128000, 38275, 3116, 23728, 4056, 435, 16, 11, 4056, 435, 17, 11, 4056, 435, 18, 11, 323, 4056, 435, 19, 11, 421, 261, 19030, 404, 198, 76, 3326, 21237, 527, 435, 16, 28, 220, 3391, 452, 11, 435, 17, 28, 220, 1927, 452, 11, 435, 18, 284, 220, 777, 452, 11, 323, 37, 19, 284, 220, 4370, 452, 1236, 295, 198, 89638, 16, 284, 4364, 78, 11, 101174, 17, 4125, 34363, 5894, 78, 11, 89638, 18, 284, 220, 1049, 11, 323, 101174, 19, 4125, 34363, 3080, 78, 11, 17303, 505, 279, 31587, 865, 8183, 449, 198, 1820, 5663, 55388, 4583, 4328, 5216, 439, 31587, 627, 3923, 374, 279, 26703, 1073, 279, 84913, 4724, 4056, 37, 1174, 1405, 4056, 37, 284, 4056, 198, 37, 16, 489, 93, 435, 17, 489, 93, 435, 18, 489, 93, 435, 19, 30, 22559, 304, 8316, 315, 452, 13, 3639, 374, 279, 5216, 198, 1073, 576, 84913, 4724, 93, 37, 5380, 9290, 25, 21335, 279, 9392, 258, 12628, 11, 1005, 1797, 3035, 1039, 4583, 439, 279, 198, 31587, 4328, 5216, 11, 1990, 279, 13693, 198, 1527, 279, 6928, 198, 87, 7332, 13, 22559, 304, 8316, 315, 78, 198, 40, 6575, 704, 279, 1176, 961, 315, 279, 7998, 555, 1701, 198, 376, 343, 48228, 5718, 13, 3092, 1630, 907, 11065, 20, 13, 22347, 6028, 438, 856, 816, 198, 970, 11065, 1644, 13, 23215, 19, 13, 578, 26703, 3782, 704, 311, 220, 1958, 13, 21641, 45, 13, 358, 6818, 198, 68287, 279, 5216, 555, 1701, 89638, 24957, 276, 12, 16, 7166, 11009, 8, 719, 602, 198, 66363, 636, 279, 1314, 9399, 13, 128001, 128000, 32, 4279, 17188, 430, 22223, 220, 1135, 12, 2031, 4, 315, 12884, 13, 1442, 264, 5333, 1645, 18164, 79909, 638, 16876, 869, 17402, 320, 10190, 53, 8, 19405, 2391, 20209, 11, 1070, 374, 922, 264, 220, 868, 4, 6140, 430, 1077, 31383, 690, 617, 19405, 323, 6129, 36505, 13, 11215, 889, 617, 1047, 18582, 53, 19405, 323, 889, 527, 13126, 65864, 872, 89019, 9405, 31383, 1288, 1817, 1176, 449, 872, 1716, 596, 10896, 2533, 1070, 374, 264, 5326, 315, 78768, 279, 17188, 311, 279, 31383, 1555, 17659, 14403, 13, 12029, 1598, 398, 9405, 42534, 1253, 539, 387, 3025, 311, 4465, 1022, 279, 18582, 53, 19405, 439, 656, 42534, 9405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 520, 4751, 13, 18582, 53, 19405, 374, 6118, 264, 23900, 19405, 304, 12884, 13, 15268, 1821, 9405, 311, 3278, 889, 617, 1047, 18582, 53, 1317, 1603, 814, 6244, 20895, 527, 520, 3428, 5326, 315, 3515, 459, 31383, 449, 6129, 18582, 53, 19405, 13, 128001, 128000, 1820, 5165, 10170, 5114, 198, 16892, 56064, 25, 6498, 11, 15506, 198, 2028, 24978, 97173, 6975, 4793, 6835, 264, 75826, 11, 6847, 72207, 52784, 1684, 315, 279, 4500, 315, 25524, 10334, 505, 279, 3389, 220, 777, 339, 1555, 4216, 220, 508, 339, 9478, 13, 578, 1401, 4623, 574, 279, 18841, 430, 279, 19670, 374, 539, 459, 330, 485, 344, 23936, 1, 19320, 11, 719, 17610, 315, 9333, 51720, 25, 279, 82586, 11, 73404, 11, 323, 17130, 13, 1102, 35434, 279, 19564, 315, 3842, 72554, 11, 622, 3587, 13, 65332, 11, 62023, 432, 94094, 11, 323, 7957, 43130, 21878, 11, 6832, 21896, 14110, 1534, 279, 1917, 1684, 315, 25524, 6070, 13, 3580, 25368, 32009, 369, 264, 2723, 311, 3744, 220, 17, 315, 420, 4101, 627, 6756, 6070, 11, 31747, 536, 18803, 9526, 11, 17130, 11, 97607, 19670, 11, 3925, 315, 19670, 11, 3925, 315, 279, 19670, 11, 35784, 19670, 11, 73404, 11, 82586, 198, 14952, 2937, 3549, 198, 29527, 220, 717, 11, 220, 679, 16, 198, 1729, 54491, 11166, 198, 31294, 220, 605, 11, 220, 679, 17, 198, 1729, 54491, 11166, 198, 5966, 5666, 994, 32321, 291, 512, 33327, 220, 16, 11, 220, 1049, 21, 198, 6157, 1950, 62722, 50572, 1392, 320, 1049, 23, 6207, 340, 19, 13, 578, 28479, 20638, 198, 19, 35, 13, 578, 29696, 315, 34464, 198, 21, 12, 23, 25, 220, 19, 35, 10482, 16, 64, 13, 2052, 5030, 374, 1903, 709, 315, 33299, 11, 902, 527, 3117, 2288, 2678, 311, 1518, 6089, 1555, 264, 73757, 627, 24, 12, 717, 25, 220, 19, 35, 24240, 16, 13, 2468, 7085, 527, 1903, 315, 264, 40646, 11684, 62607, 23712, 555, 48291, 11684, 57678, 13, 578, 62607, 374, 264, 13987, 19983, 315, 279, 8286, 315, 459, 19670, 719, 3727, 709, 4661, 682, 315, 1202, 3148, 13, 578, 62607, 374, 24306, 315, 463, 35511, 323, 26878, 26692, 902, 617, 17715, 279, 1890, 3148, 719, 1782, 304, 430, 463, 35511, 527, 40646, 11684, 1418, 26878, 26692, 617, 912, 9249, 6900, 627, 24, 12, 717, 25, 220, 19, 35, 24240, 17, 13, 578, 1396, 315, 463, 35511, 304, 279, 62607, 27667, 1148, 459, 19670, 596, 17130, 6683, 649, 387, 323, 779, 19170, 279, 2449, 13, 1556, 19670, 596, 17130, 6683, 11, 8104, 279, 16335, 3646, 57678, 11, 27667, 1268, 279, 19670, 649, 16681, 449, 1023, 33299, 13, 2468, 7085, 1376, 27460, 311, 1023, 33299, 555, 51051, 477, 11821, 57678, 627, 605, 13, 41143, 94985, 198, 605, 37, 13, 46551, 6785, 198, 24, 12, 717, 25, 220, 605, 37, 24240, 16, 13, 763, 279, 3389, 220, 8258, 15, 82, 323, 4216, 220, 5245, 15, 82, 11, 279, 4623, 315, 33299, 312, 336, 52625, 304, 2077, 311, 4860, 922, 279, 6070, 315, 5030, 11, 279, 7138, 315, 4027, 11, 323, 279, 8197, 315, 11742, 44247, 627, 24, 12, 717, 25, 220, 605, 37, 24240, 18, 13, 763, 279, 4216, 220, 5245, 15, 82, 11, 8013, 8590, 380, 323, 83323, 3842, 72554, 29292, 279, 19476, 315, 33299, 323, 5540, 13, 1283, 11223, 1403, 6848, 430, 17551, 279, 95844, 369, 6617, 30903, 25, 1176, 11, 430, 5540, 527, 14454, 505, 2678, 11, 3687, 23936, 19252, 2663, 33299, 11, 902, 527, 20086, 369, 264, 2728, 2449, 719, 2204, 505, 904, 1023, 2449, 26, 323, 2132, 11, 430, 11742, 32246, 527, 14454, 505, 33299, 555, 35271, 264, 44870, 1396, 315, 1855, 955, 315, 19670, 311, 1376, 832, 43030, 315, 279, 24549, 627, 24, 12, 717, 25, 220, 605, 37, 24240, 19, 13, 72554, 25720, 704, 1268, 279, 8844, 14661, 315, 279, 33299, 1436, 387, 11075, 9526, 750, 13, 5414, 4623, 430, 1475, 20278, 1047, 264, 5016, 25524, 18528, 3984, 459, 16540, 369, 3249, 33155, 1051, 1903, 709, 315, 5540, 304, 3230, 49892, 627, 2028, 5211, 374, 961, 315, 264, 28415, 15248, 7054, 950, 8113, 627, 27504, 25, 3744, 4440, 323, 5783, 4109, 323, 279, 12028, 5008, 8113, 11106, 25, 11346, 323, 39193, 198, 2028, 24978, 97173, 6975, 4793, 6835, 264, 75826, 11, 6847, 72207, 52784, 1684, 315, 279, 4500, 315, 25524, 10334, 505, 279, 3389, 220, 777, 339, 1555, 4216, 220, 508, 339, 9478, 13, 578, 1401, 4623, 574, 279, 18841, 430, 279, 19670, 374, 539, 459, 330, 485, 344, 23936, 1, 19320, 11, 719, 17610, 315, 9333, 51720, 25, 279, 82586, 11, 73404, 11, 323, 17130, 13, 1102, 35434, 279, 19564, 315, 3842, 72554, 11, 622, 3587, 13, 65332, 11, 62023, 432, 94094, 11, 323, 7957, 43130, 21878, 11, 6832, 21896, 14110, 1534, 279, 1917, 1684, 315, 25524, 6070, 627, 4, 15, 35269, 8922, 1034, 32, 3341, 2554, 11, 21353, 1034, 35, 6186, 220, 16, 11, 220, 1049, 21, 1034, 51, 31541, 21656, 25, 31416, 31535, 358, 1034, 40, 31541, 21656, 1034, 53, 220, 679, 18, 1034, 45, 220, 1691, 3297, 220, 679, 18, 1034, 23, 6186, 220, 16, 11, 220, 1049, 21, 1034, 24, 1495, 14056, 1034, 52, 1795, 1129, 2185, 3211, 1854, 21656, 916, 46546, 49285, 81444, 2348, 30, 16497, 28, 1135, 5, 75, 15092, 52125, 25, 1219, 44918, 793, 6209, 45477, 9404, 439, 264, 8641, 1193, 13, 1226, 4250, 3085, 58689, 922, 52946, 439, 420, 374, 459, 28598, 10537, 13, 5321, 8464, 311, 279, 1742, 56294, 304, 279, 70423, 8922, 8245, 3158, 369, 20064, 7174, 13, 128001, 128000, 36349, 6649, 1113, 2057, 578, 12781, 5046, 20449, 70370, 198, 1383, 18984, 480, 13, 47431, 198, 1187, 6664, 11, 220, 679, 16, 198, 12739, 19102, 7837, 36, 362, 35042, 25404, 4393, 3247, 452, 5576, 24896, 426, 1937, 7497, 423, 1308, 4505, 1507, 6328, 622, 2599, 1111, 2006, 220, 6393, 20, 313, 508, 11, 931, 350, 30626, 89231, 86499, 53, 3015, 6542, 4521, 5257, 452, 5576, 24896, 3467, 20888, 79264, 5421, 22272, 2152, 36564, 220, 3226, 11, 931, 11, 931, 350, 30626, 89231, 86499, 53, 3015, 6542, 627, 16, 13, 4740, 1690, 1667, 315, 7422, 323, 3495, 358, 1436, 2586, 709, 1193, 449, 2380, 5627, 555, 902, 279, 6650, 315, 279, 3823, 7187, 649, 387, 11293, 311, 7315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 477, 1903, 8389, 11, 422, 430, 1051, 5995, 369, 279, 20237, 315, 1057, 9606, 627, 64, 8, 3296, 4208, 11, 449, 477, 2085, 10094, 315, 3148, 19814, 11, 78245, 11, 8624, 11, 22277, 60052, 11, 17199, 11, 77095, 367, 11, 323, 1023, 70618, 13, 1115, 1455, 4461, 1053, 12446, 439, 22706, 2751, 3345, 311, 279, 15691, 8824, 315, 279, 9578, 323, 4661, 7995, 1053, 12446, 1306, 2854, 70370, 8813, 477, 34908, 279, 9578, 596, 15691, 8824, 627, 65, 8, 3296, 279, 37079, 1957, 315, 682, 315, 22706, 13, 1115, 1455, 4461, 1053, 12446, 4972, 311, 19261, 279, 15691, 8824, 315, 279, 9420, 13, 5046, 3388, 11, 420, 1101, 1436, 3621, 1306, 22706, 8813, 477, 34908, 279, 15691, 8824, 315, 279, 9420, 323, 387, 1511, 311, 8108, 279, 3823, 7187, 311, 279, 15691, 8824, 315, 279, 9420, 2085, 9349, 4521, 64525, 279, 70618, 304, 320, 64, 8, 3485, 617, 539, 65362, 13, 1115, 1957, 1053, 2997, 6873, 315, 3278, 11, 19054, 872, 5410, 315, 5496, 11, 47141, 279, 7829, 315, 1690, 34775, 11, 7859, 279, 5410, 315, 5496, 315, 682, 315, 22706, 11, 323, 1690, 1023, 6299, 315, 264, 4528, 7138, 13, 11119, 60056, 1957, 5764, 904, 323, 682, 2536, 76827, 306, 7504, 2854, 70370, 1436, 1935, 311, 8108, 7187, 6650, 311, 7315, 477, 1304, 433, 8389, 3734, 55363, 535, 1957, 627, 66, 8, 3296, 279, 55363, 535, 1957, 315, 8396, 33994, 279, 1396, 315, 2911, 264, 1732, 477, 264, 5743, 1436, 8356, 13, 1115, 1455, 4461, 1053, 12446, 4972, 311, 19261, 279, 15691, 8824, 315, 279, 9420, 13, 5046, 3388, 11, 433, 1436, 1101, 387, 1511, 311, 8108, 3823, 7187, 311, 279, 15691, 8824, 315, 279, 9420, 1306, 22706, 706, 34908, 279, 15691, 8824, 315, 279, 9420, 11, 3984, 279, 70618, 304, 320, 64, 8, 3485, 617, 539, 65362, 627, 3947, 4536, 956, 264, 3254, 11928, 7419, 315, 330, 7063, 28609, 8824, 3343, 1789, 279, 10096, 315, 420, 9071, 358, 690, 7124, 330, 7063, 28609, 8824, 1, 439, 279, 1396, 315, 3823, 23837, 11093, 449, 279, 5578, 824, 53155, 10648, 315, 5070, 902, 690, 11810, 430, 1396, 315, 3823, 23837, 311, 3073, 323, 18167, 389, 420, 11841, 369, 264, 8187, 315, 220, 1041, 15, 1667, 13, 1556, 10778, 7419, 315, 330, 7063, 28609, 8824, 1, 374, 279, 1396, 315, 3823, 23837, 11093, 449, 279, 5578, 824, 53155, 10648, 315, 5070, 902, 422, 34908, 1524, 369, 264, 2875, 4261, 315, 892, 690, 1121, 304, 279, 38550, 315, 279, 9420, 3493, 279, 5070, 5995, 369, 36017, 311, 3136, 14718, 264, 11295, 323, 93840, 788, 18174, 304, 279, 3823, 7187, 13, 6104, 912, 832, 8964, 1148, 279, 15691, 8824, 315, 279, 9420, 1253, 387, 11, 433, 4250, 387, 24746, 313, 433, 2011, 387, 35326, 13, 2360, 5030, 1268, 1790, 279, 5578, 824, 53155, 10648, 315, 5070, 374, 11293, 279, 9420, 1436, 539, 1862, 220, 16, 32610, 3823, 23837, 13, 35339, 11, 422, 279, 824, 53155, 10648, 315, 5070, 1051, 7319, 1778, 430, 1855, 3823, 1694, 1511, 220, 966, 3115, 279, 3392, 315, 5070, 1511, 555, 279, 5578, 3778, 374, 7701, 17821, 430, 279, 9420, 1436, 1862, 220, 16, 7239, 3823, 23837, 627, 1688, 3118, 3823, 7187, 374, 7982, 13, 1102, 374, 7701, 4461, 430, 279, 5578, 824, 53155, 10648, 315, 5070, 690, 3136, 311, 5376, 4245, 311, 279, 19019, 7982, 37671, 315, 6890, 323, 5734, 323, 279, 7982, 37671, 315, 1690, 315, 279, 1023, 17089, 315, 279, 1917, 13, 15636, 11, 264, 1633, 3831, 1162, 649, 387, 1903, 430, 22706, 690, 20193, 12771, 279, 15691, 8824, 315, 279, 9420, 11, 422, 22706, 2736, 706, 539, 34908, 430, 8824, 13, 1442, 22706, 36375, 279, 15691, 8824, 323, 5097, 912, 14247, 1957, 311, 8108, 279, 7187, 323, 5255, 279, 10648, 315, 5070, 311, 8108, 433, 596, 5536, 389, 279, 11841, 3770, 15691, 8824, 11, 1243, 12966, 690, 3810, 1139, 264, 16806, 43682, 369, 279, 5070, 5995, 311, 18167, 323, 279, 70618, 743, 13544, 304, 220, 16, 2948, 8, 690, 12446, 13, 763, 4382, 3878, 11, 433, 690, 387, 1855, 323, 1475, 893, 54489, 14, 3833, 32718, 9809, 367, 2971, 10745, 2403, 1475, 1023, 893, 54489, 14, 3833, 32718, 9809, 367, 2971, 10745, 304, 2015, 311, 6994, 5070, 902, 279, 9420, 649, 3493, 779, 430, 279, 3927, 83417, 313, 10748, 16806, 45480, 2191, 13, 8766, 919, 690, 2815, 323, 2815, 77104, 323, 810, 23659, 279, 65396, 690, 1005, 709, 323, 5255, 7066, 904, 9861, 5070, 1778, 430, 36017, 690, 387, 12153, 311, 17460, 16058, 477, 520, 3325, 369, 9214, 315, 1667, 198, 17, 13, 12838, 8396, 11, 912, 5030, 1268, 4613, 11, 617, 264, 1314, 311, 4017, 279, 1396, 315, 2911, 264, 1732, 19159, 555, 78242, 477, 374, 279, 1314, 311, 8417, 1268, 1690, 2911, 264, 1732, 19159, 10973, 323, 8396, 706, 912, 1314, 311, 40978, 449, 430, 5597, 30, 763, 13126, 420, 3488, 4017, 6261, 311, 279, 1314, 358, 617, 743, 13544, 3485, 323, 656, 539, 2980, 1268, 430, 1314, 1436, 477, 1053, 387, 45421, 323, 3508, 62908, 430, 1314, 1053, 387, 28856, 477, 24629, 311, 8396, 13, 13266, 4860, 323, 904, 323, 682, 3885, 1053, 617, 311, 387, 6646, 11, 26126, 323, 14407, 1193, 422, 279, 1314, 311, 4017, 279, 1396, 315, 2911, 264, 1732, 19159, 555, 78242, 6866, 304, 8396, 13, 1666, 3117, 439, 358, 617, 1027, 3025, 311, 8417, 1306, 3815, 1690, 1667, 315, 3495, 358, 1436, 539, 1505, 264, 3254, 3823, 1314, 430, 574, 539, 3917, 311, 2585, 477, 17466, 555, 8396, 13, 7570, 279, 1314, 311, 2324, 374, 539, 10973, 313, 1690, 17089, 323, 27833, 1935, 3201, 1314, 311, 2324, 994, 264, 1732, 706, 11411, 3738, 4595, 315, 10102, 13, 578, 1314, 4321, 279, 14708, 439, 264, 1949, 1732, 374, 539, 459, 10973, 1314, 313, 4661, 1475, 7140, 477, 7829, 5097, 3201, 430, 1314, 323, 7634, 264, 1732, 304, 9527, 994, 264, 6129, 78156, 61798, 9977, 706, 1027, 11411, 13, 4718, 8125, 369, 701, 4320, 527, 11472, 627, 18, 13, 6104, 3723, 19687, 4819, 922, 8223, 2204, 41579, 315, 279, 3938, 3823, 7187, 11, 279, 1455, 24116, 323, 11928, 22343, 374, 279, 330, 27178, 1, 22343, 13, 578, 1455, 3293, 11298, 22343, 14, 478, 5582, 4420, 1171, 2538, 18493, 5010, 537, 20901, 320, 817, 8996 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3492, 499, 12876, 8, 11136, 555, 279, 6781, 56978, 430, 279, 3823, 7187, 690, 12771, 220, 605, 7239, 323, 2103, 387, 7982, 555, 279, 1060, 220, 8848, 15, 13, 3234, 499, 7655, 449, 430, 20212, 1306, 7231, 4245, 18361, 311, 279, 4478, 555, 902, 22706, 374, 1701, 279, 7347, 35326, 2536, 265, 943, 481, 5070, 315, 1057, 11841, 323, 279, 4478, 1057, 9606, 374, 1701, 5070, 14614, 6646, 33268, 30, 3234, 499, 7655, 449, 430, 20212, 1306, 7231, 18361, 311, 279, 28448, 5376, 304, 824, 53155, 10648, 315, 5070, 555, 279, 17089, 315, 279, 1917, 323, 304, 4040, 555, 279, 3596, 7859, 824, 53155, 10648, 315, 5070, 315, 5734, 323, 6890, 30, 1472, 1253, 1390, 311, 3477, 279, 990, 315, 83758, 10690, 315, 279, 9420, 11216, 10181, 439, 311, 279, 3938, 10648, 315, 5070, 555, 5734, 13, 3234, 499, 4510, 430, 279, 15691, 8824, 315, 279, 9420, 11, 912, 5030, 1268, 4613, 11, 374, 32302, 2753, 1109, 220, 605, 7239, 315, 1057, 9606, 323, 430, 279, 8738, 7187, 6650, 690, 1121, 304, 279, 18678, 315, 8396, 52357, 3674, 2015, 2971, 6362, 2065, 323, 279, 70618, 743, 13544, 304, 14646, 220, 16, 320, 64, 8, 3485, 690, 3621, 4972, 311, 279, 1060, 220, 8848, 15, 30, 1472, 1253, 1390, 311, 8666, 279, 4375, 315, 12656, 17810, 783, 11, 12131, 64782, 7881, 11, 11517, 2493, 773, 7876, 11, 6941, 393, 3904, 278, 11, 7957, 35393, 301, 1197, 323, 1690, 3885, 13, 2493, 773, 7876, 596, 990, 649, 387, 19894, 1949, 315, 6900, 389, 813, 3566, 2816, 8604, 1444, 63844, 15589, 11755, 916, 320, 275, 374, 68918, 449, 264, 364, 74, 1, 323, 539, 264, 330, 66, 909, 313, 2343, 4040, 6666, 311, 813, 2363, 330, 3407, 8362, 488, 3343, 578, 8125, 369, 701, 11503, 311, 1521, 4860, 1053, 387, 1455, 26893, 627, 12834, 912, 25442, 1732, 1053, 1390, 311, 2585, 7187, 6650, 555, 279, 70618, 743, 13544, 304, 14646, 220, 16, 2948, 8, 3485, 11, 1070, 527, 304, 8903, 1193, 1403, 5627, 311, 2585, 7187, 6650, 10991, 13677, 7187, 6650, 311, 7315, 3262, 731, 433, 8389, 13, 2360, 832, 649, 3118, 264, 74145, 323, 2144, 1870, 7396, 1162, 430, 279, 37079, 1957, 320, 300, 4613, 304, 14646, 220, 16, 3485, 8, 315, 22706, 690, 8108, 7187, 6650, 311, 7315, 4972, 311, 279, 69544, 315, 279, 70618, 7633, 304, 14646, 220, 16, 2948, 8, 449, 10973, 44743, 13, 763, 1023, 4339, 11, 1070, 374, 1063, 2237, 315, 19463, 430, 422, 22706, 1051, 311, 4017, 5196, 311, 37079, 1957, 311, 2585, 7187, 6650, 430, 1957, 690, 3775, 323, 22706, 690, 12771, 279, 15691, 8824, 315, 279, 9420, 1778, 430, 279, 70618, 7633, 304, 14646, 220, 16, 2948, 8, 1053, 12446, 13, 2360, 832, 8964, 1148, 374, 279, 6140, 315, 2450, 477, 1148, 374, 279, 6140, 315, 8060, 315, 37079, 1957, 313, 912, 832, 8964, 422, 279, 6140, 315, 2450, 374, 220, 2031, 4, 323, 279, 6140, 315, 8060, 374, 220, 966, 4, 477, 220, 1490, 14, 508, 477, 220, 1399, 14, 1272, 477, 220, 1135, 14, 1135, 477, 904, 1023, 10824, 315, 5219, 13, 4452, 11, 1070, 374, 264, 6140, 315, 8060, 323, 8060, 690, 3063, 311, 279, 18678, 315, 8396, 52357, 18678, 315, 279, 3674, 2015, 52357, 19814, 315, 36017, 323, 311, 279, 70618, 7633, 304, 14646, 220, 16, 2948, 4390, 7816, 23659, 11, 1070, 374, 264, 53108, 7191, 6140, 315, 8060, 315, 37079, 1957, 422, 7187, 6650, 539, 1193, 706, 311, 387, 11293, 311, 7315, 719, 1903, 8389, 311, 32302, 8108, 279, 3823, 7187, 505, 279, 1510, 220, 22, 7239, 477, 505, 279, 3938, 220, 605, 7239, 320, 3236, 220, 8848, 15, 8, 311, 264, 1790, 4827, 1396, 304, 2015, 369, 1057, 9606, 311, 18167, 369, 264, 13579, 4261, 315, 892, 13, 362, 1396, 315, 11909, 320, 69386, 279, 3492, 330, 74987, 1, 3445, 8, 320, 6941, 393, 3904, 278, 315, 56819, 3907, 323, 7957, 35393, 301, 1197, 315, 18879, 689, 33651, 11, 369, 3187, 8, 617, 10666, 2144, 1870, 323, 74145, 7396, 5157, 430, 279, 9420, 596, 15691, 8824, 374, 220, 17, 7239, 477, 2753, 315, 1057, 9606, 13, 83695, 49378, 520, 1202, 60392, 279, 990, 315, 1521, 11909, 13, 1442, 279, 6140, 315, 2450, 6801, 9557, 374, 832, 743, 315, 5219, 369, 37079, 1957, 23343, 311, 18189, 7187, 6650, 7315, 11, 1243, 1070, 374, 264, 2132, 743, 315, 5219, 369, 2450, 6801, 9557, 304, 902, 279, 2450, 3185, 315, 279, 24524, 374, 32302, 11293, 323, 8060, 3185, 315, 279, 24524, 374, 32302, 7319, 304, 13126, 37079, 1957, 304, 12976, 311, 7187, 14278, 627, 12834, 6140, 315, 8060, 315, 37079, 1957, 1436, 1121, 304, 279, 47322, 16779, 315, 33151, 11, 8530, 439, 1690, 439, 220, 24, 13, 21, 7239, 313, 7, 605, 13, 16, 7239, 13989, 304, 220, 8848, 15, 2753, 279, 3284, 15691, 8824, 315, 220, 15, 13, 20, 7239, 284, 14278, 315, 220, 24, 13, 21, 7239, 705, 1820, 3488, 9221, 381, 1148, 2237, 315, 3284, 8060, 315, 37079, 1957, 374, 22281, 311, 2854, 70370, 30, 5046, 3388, 11, 279, 1396, 315, 47322, 16779, 1436, 387, 32302, 2753, 1109, 220, 24, 13, 21, 7239, 13, 4452, 11, 2533, 912, 832, 649, 15803, 449, 220, 1041, 4, 44743, 430, 279, 37079, 1957, 690, 539, 5471, 264, 12190, 1396, 315, 47322, 16779, 11, 279, 6164, 315, 22706, 617, 264, 14523, 311, 10347, 68, 832, 477, 810, 38614, 315, 279, 1888, 20663, 50801, 389, 1057, 11841, 311, 15806, 323, 2980, 55363, 535, 7187, 2585, 13, 1102, 4250, 387, 15164, 430, 1690, 6105, 649, 387, 1903, 2403, 55363, 535, 7187, 2585, 4521, 279, 9526, 304, 6890, 264, 1396, 315, 1667, 4227, 574, 264, 8060, 11, 22706, 1436, 3312, 349, 55363, 535, 7187, 2585, 449, 279, 6299, 315, 2467, 44070, 31654, 477, 9148, 1705, 11, 433, 690, 1935, 439, 1317, 311, 33330, 55363, 535, 2585, 439, 311, 1304, 37079, 1957, 6992, 323, 1690, 3885, 627, 7489, 3035, 535, 7187, 2585, 1205, 539, 387, 68763, 13, 1442, 1855, 5743, 304, 279, 4553, 1917, 1051, 7347, 311, 832, 1716, 11, 912, 13901, 11, 1912, 11, 59343, 11, 7102, 11, 7829, 11, 5099, 2637, 1053, 8935, 520, 279, 20900, 315, 904, 1023, 13901, 11, 1912, 11, 59343, 11, 7102, 477, 7829, 627 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2028, 9071, 374, 539, 10825, 4358, 477, 11249, 279, 22934, 42610, 14625, 38886, 11, 477, 279, 5435, 3554, 51565, 1220, 315, 55363, 535, 7187, 2585, 13, 26848, 11, 279, 7580, 315, 420, 9071, 374, 311, 1501, 430, 22706, 2011, 2980, 323, 15806, 55363, 535, 7187, 2585, 1606, 1070, 374, 264, 12190, 11, 719, 5732, 11, 5326, 430, 37079, 1957, 690, 3063, 311, 279, 47322, 16779, 315, 264, 12190, 1396, 315, 3823, 23837, 304, 279, 1633, 3221, 3938, 381, 55540, 1603, 279, 1060, 220, 10866, 15, 323, 4661, 7995, 1603, 279, 1060, 220, 8848, 15, 627, 54013, 480, 13, 47431, 2613, 36587, 916, 198, 17828, 527, 539, 87316, 13, 5321, 387, 8647, 323, 8431, 304, 701, 75581, 323, 4822, 2949, 279, 8712, 14407, 304, 279, 4652, 2288, 13, 1442, 499, 1505, 33781, 6170, 11, 1120, 23497, 320, 10577, 8, 1124, 323, 814, 690, 3351, 1139, 64382, 1744, 13, 128001, 128000, 1548, 278, 1820, 19422, 28292, 323, 70390, 13016, 311, 387, 59314, 922, 872, 2890, 323, 1304, 16369, 11429, 922, 1475, 13189, 315, 39890, 11, 505, 19433, 323, 34625, 11709, 311, 12434, 4819, 13, 1102, 374, 7263, 311, 499, 555, 71073, 41740, 198, 644, 279, 5513, 198, 4213, 28222, 323, 18449, 31974, 304, 23338, 198, 2127, 50320, 1716, 753, 85648, 1253, 387, 1120, 439, 272, 25909, 439, 279, 85648, 315, 264, 6278, 57859, 6822, 11, 14035, 264, 3293, 4007, 13, 362, 86765, 315, 61464, 304, 279, 85648, 9711, 6980, 520, 5326, 369, 264, 4851, 3440, 477, 12943, 439, 4216, 439, 4325, 220, 966, 13, 763, 279, 4007, 315, 220, 2031, 10213, 50320, 2911, 17051, 220, 21, 311, 220, 777, 11, 12074, 1511, 459, 63859, 311, 6767, 279, 26839, 315, 279, 6980, 529, 65415, 14620, 304, 279, 13272, 13, 1054, 1687, 4934, 311, 31990, 872, 64603, 4325, 2476, 2795, 4323, 774, 64, 51359, 17156, 588, 261, 11, 14306, 11, 88756, 11, 22797, 311, 279, 4325, 520, 902, 279, 2237, 315, 61464, 304, 279, 85648, 1053, 387, 4725, 13, 763, 1521, 2911, 11, 279, 64603, 4325, 574, 8965, 220, 966, 1667, 9191, 1109, 872, 87634, 4325, 627, 16179, 279, 7982, 3495, 31799, 33048, 449, 4851, 8624, 304, 2911, 374, 57376, 11, 2999, 13, 51359, 17156, 588, 261, 374, 38650, 13, 1054, 32, 2763, 315, 1521, 6980, 529, 85648, 11, 1524, 3582, 814, 527, 304, 279, 4216, 18094, 315, 264, 91882, 91711, 11, 527, 539, 71836, 477, 10241, 1908, 11, 539, 2216, 11084, 2029, 1364, 2795, 1070, 1253, 387, 459, 6776, 311, 4305, 19433, 61086, 11, 2737, 10368, 323, 10173, 13, 1054, 32576, 433, 1253, 387, 28537, 2029, 128001, 128000, 57853, 10423, 4621, 31035, 5659, 279, 4273, 323, 279, 18039, 1176, 304, 220, 7529, 18, 12672, 5600, 555, 1972, 1543, 2366, 15, 389, 3206, 11, 220, 806, 14, 777, 14, 679, 17, 482, 220, 1721, 25, 1721, 198, 644, 220, 9714, 16, 13, 578, 12411, 3109, 513, 2041, 291, 505, 279, 5415, 323, 1057, 16812, 1176, 13, 578, 18561, 5415, 14760, 3201, 505, 279, 11552, 13, 578, 2944, 374, 279, 12411, 3109, 14760, 279, 17251, 477, 5226, 13, 578, 12411, 3109, 927, 5455, 7069, 872, 23546, 304, 279, 18039, 13, 16642, 4273, 513, 2041, 287, 1047, 4400, 311, 656, 449, 33792, 13, 1102, 1047, 4395, 311, 656, 449, 5415, 529, 3268, 627, 644, 220, 7529, 18, 13, 578, 220, 845, 339, 323, 220, 1114, 339, 22454, 1051, 7376, 97665, 2085, 2380, 42117, 17323, 315, 279, 5415, 13, 578, 12411, 25820, 1180, 5946, 389, 10280, 49996, 304, 220, 7529, 18, 13, 1102, 7077, 304, 279, 6453, 315, 3814, 994, 8151, 574, 304, 47862, 13, 362, 23810, 315, 21716, 5794, 323, 40020, 555, 264, 7899, 7055, 5946, 420, 1203, 11020, 13543, 13, 4900, 12404, 654, 17882, 7936, 291, 279, 4121, 1139, 2383, 13, 578, 12411, 3109, 513, 2041, 291, 505, 279, 18039, 369, 279, 64243, 627, 1271, 1373, 810, 4299, 2723, 3770, 128001, 128000, 91641, 19641, 71783, 527, 3629, 2163, 389, 67572, 5151, 311, 6144, 17614, 4367, 11, 719, 814, 1436, 3719, 459, 3062, 7257, 3769, 304, 2849, 29752, 292, 62772, 5788, 13, 549, 815, 13, 6011, 315, 37963, 320, 2078, 6486, 8, 3495, 15151, 430, 17614, 4367, 1053, 539, 18174, 422, 1772, 2902, 277, 7164, 14095, 34928, 71783, 1051, 7108, 505, 5151, 627, 2028, 990, 11, 6197, 555, 60134, 8483, 5475, 320, 17485, 8, 17614, 28568, 17520, 99986, 6416, 11, 11815, 279, 61091, 10844, 315, 11469, 502, 8336, 315, 17332, 17947, 13, 6395, 50, 374, 61091, 596, 10388, 10805, 309, 4269, 12624, 3495, 9266, 627, 54, 3675, 6416, 11, 449, 279, 6395, 50, 4701, 299, 762, 437, 615, 9744, 8483, 8113, 304, 25379, 11, 52809, 2637, 6197, 7978, 430, 7863, 79152, 7969, 323, 59132, 4814, 505, 912, 2442, 484, 14095, 5151, 1405, 1772, 13279, 7164, 19641, 71783, 1051, 3060, 7108, 477, 35363, 13, 578, 14248, 1101, 7108, 272, 5598, 505, 4376, 315, 279, 1296, 31794, 430, 1051, 2682, 555, 279, 71783, 627, 6153, 279, 1296, 31794, 1051, 9749, 11, 279, 14248, 8066, 1403, 46836, 53958, 4455, 13, 578, 1176, 10222, 994, 279, 5151, 1051, 9235, 11, 323, 279, 1828, 10222, 220, 1187, 4207, 3010, 994, 279, 69561, 1051, 4661, 6724, 50585, 627, 16397, 279, 1176, 1567, 11, 389, 31794, 1405, 49232, 574, 7108, 11, 79152, 6137, 2212, 220, 1049, 6622, 1306, 279, 330, 30193, 1, 6137, 13, 6588, 1885, 505, 31794, 2682, 555, 71783, 3287, 956, 1212, 3156, 2212, 220, 8273, 6622, 1306, 433, 3940, 311, 330, 30193, 10246, 6869, 1885, 505, 279, 49232, 12862, 31794, 13282, 220, 966, 3346, 810, 59132, 1109, 79152, 505, 682, 279, 49232, 12, 5883, 31794, 13, 2030, 279, 9546, 477, 19821, 315, 272, 5598, 389, 279, 49232, 12, 5883, 31794, 1550, 539, 12207, 7958, 59132, 4814, 7969, 627, 54, 3675, 6416, 596, 2128, 20536, 430, 1524, 3582, 34928, 71783, 1550, 10284, 7781, 279, 42080, 315, 79152, 11, 59132, 4814, 7969, 1051, 539, 12207, 11754, 555, 279, 9546, 477, 19821, 315, 279, 272, 5598, 13, 578, 3135, 16717, 430, 279, 272, 5598, 1436, 387, 7108, 505, 1023, 49232, 323, 1511, 369, 17332, 17947, 5510, 13787, 2085, 12207, 75387, 449, 279, 3560, 315, 19641, 71783, 304, 22973, 69561, 627, 644, 264, 5552, 4007, 11, 99986, 6416, 25078, 1268, 279, 17065, 315, 34928, 71783, 11754, 17614, 50123, 5990 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13, 6193, 279, 3388, 315, 264, 1060, 11, 813, 25936, 16717, 430, 272, 5598, 1051, 264, 2592, 315, 17614, 62275, 11, 719, 430, 814, 15058, 956, 264, 5199, 2592, 315, 904, 1023, 6136, 37493, 13, 128001, 128000, 40, 3782, 1046, 2177, 420, 3997, 279, 1023, 1938, 11, 323, 574, 69118, 520, 279, 7434, 4920, 279, 2816, 627, 791, 7434, 11, 24116, 505, 8604, 22220, 273, 916, 5415, 512, 1, 14755, 273, 574, 3549, 555, 48407, 7972, 311, 24928, 603, 682, 315, 279, 1205, 311, 1935, 2678, 7504, 304, 1057, 18254, 6439, 311, 3665, 4907, 627, 14755, 273, 27024, 4907, 1606, 279, 4264, 374, 47904, 3776, 13, 330, 1945, 12882, 374, 15871, 264, 734, 315, 279, 1217, 596, 1933, 5110, 323, 17963, 14515, 11, 439, 1664, 439, 279, 1933, 323, 1404, 315, 1825, 3851, 11276, 26, 264, 2728, 8891, 7612, 810, 2410, 311, 3113, 264, 4251, 320, 269, 3177, 8, 4264, 1109, 264, 3776, 320, 269, 6453, 8, 4264, 1210, 4997, 1293, 1880, 453, 11, 220, 1049, 17, 198, 644, 6186, 220, 1049, 22, 264, 5117, 1772, 25891, 5348, 5195, 19418, 10467, 220, 11711, 28443, 675, 1617, 77105, 264, 9941, 11223, 279, 10334, 430, 264, 3776, 2373, 315, 279, 5195, 2778, 4817, 1053, 3665, 264, 6762, 2766, 315, 4907, 4245, 311, 279, 23354, 315, 279, 2778, 4817, 13, 8876, 1243, 1070, 706, 1027, 67233, 922, 279, 26431, 315, 279, 4907, 19523, 430, 649, 387, 17427, 323, 279, 2853, 304, 3878, 315, 92594, 315, 3776, 3566, 6959, 10246, 2170, 57340, 17371, 33726, 47274, 1037, 8396, 810, 14134, 11, 12434, 29705, 402, 2530, 11, 4869, 2678, 11, 527, 50949, 709, 682, 927, 279, 2035, 13, 128001, 128000, 32, 1376, 315, 67732, 430, 690, 4933, 6680, 34323, 5990, 12309, 6288, 994, 6892, 10185, 13, 578, 4751, 1054, 9533, 12, 36022, 67732, 863, 374, 8965, 1511, 304, 20954, 315, 27723, 9950, 540, 398, 66, 22689, 11, 477, 3428, 6680, 13465, 13, 4452, 11, 439, 3495, 15783, 24031, 389, 279, 3917, 315, 62345, 323, 1268, 6288, 814, 527, 42101, 11, 1063, 20335, 11909, 2019, 279, 4751, 706, 3719, 41626, 627, 3923, 19170, 9950, 540, 398, 66, 22689, 35327, 505, 2592, 311, 2592, 11, 719, 433, 8965, 19813, 311, 264, 6680, 34323, 2237, 3770, 220, 2031, 14060, 3529, 75, 13, 763, 1690, 5157, 11, 420, 690, 8356, 279, 14595, 13803, 315, 3428, 6680, 13465, 11, 902, 2997, 93088, 11, 81366, 11, 4851, 75649, 31767, 11, 81776, 304, 279, 23152, 11, 30118, 2968, 11, 34906, 11, 477, 36709, 13, 1369, 19846, 9950, 540, 398, 66, 22689, 649, 5353, 294, 1849, 1918, 11, 8009, 20545, 11, 22047, 11, 323, 1524, 40711, 2136, 13, 53689, 2512, 11909, 8965, 7079, 13598, 832, 753, 6680, 13465, 2237, 15716, 3284, 311, 7838, 9950, 540, 398, 66, 22689, 1603, 27723, 433, 627, 1271, 4322, 9950, 540, 398, 66, 22689, 11, 279, 5410, 9650, 374, 311, 25024, 220, 605, 12, 868, 34419, 315, 1054, 9533, 12, 36022, 863, 67732, 13, 9062, 315, 279, 2768, 3673, 5825, 17715, 220, 605, 12, 868, 34419, 315, 67732, 512, 12, 220, 20, 12, 21, 9601, 50, 7403, 98497, 198, 12, 220, 19, 12, 21, 49138, 5912, 320, 6414, 1773, 3978, 8, 39962, 198, 12, 220, 19, 12, 21, 49138, 315, 19087, 23661, 198, 12, 220, 17, 56588, 315, 6503, 1354, 198, 12, 220, 23, 49138, 315, 2536, 45283, 477, 3428, 64354, 14403, 198, 12, 3861, 14019, 320, 15, 13, 2614, 49138, 8, 315, 33860, 44670, 51778, 18316, 627, 3947, 527, 1101, 264, 1396, 315, 54453, 2561, 34323, 29679, 323, 342, 2053, 13, 39195, 311, 1701, 8518, 3956, 2997, 279, 2768, 512, 12, 2435, 7784, 1431, 439, 61299, 311, 40459, 389, 439, 32656, 374, 627, 12, 2435, 6782, 912, 8834, 11, 902, 649, 6435, 1523, 74502, 11, 477, 1448, 87873, 11, 902, 706, 264, 9333, 323, 29493, 2515, 389, 6680, 34323, 627, 12, 578, 8518, 3956, 527, 51114, 11, 779, 433, 753, 4228, 311, 6767, 704, 264, 19660, 315, 220, 605, 12, 868, 34419, 315, 67732, 627, 2746, 4423, 374, 40711, 505, 3428, 6680, 13465, 11, 1541, 1431, 4879, 311, 3041, 1461, 4205, 311, 8343, 477, 7172, 13, 26848, 11, 1935, 1461, 311, 279, 24379, 13147, 3130, 11, 477, 15921, 30217, 6241, 422, 499, 617, 1027, 42075, 1268, 311, 656, 433, 13, 1442, 499, 649, 1431, 636, 13147, 1520, 5043, 3403, 323, 649, 1431, 15921, 30217, 6241, 11, 433, 1253, 1520, 311, 10485, 264, 2697, 34323, 18316, 1990, 279, 1732, 753, 98754, 323, 41803, 13, 128001, 128000, 383, 660, 320, 4581, 315, 8982, 25, 19120, 340, 69, 2757, 11, 513, 1636, 11, 54662, 11, 61733, 11, 41778, 11, 1156, 4852, 291, 11, 66302, 291, 11, 41951, 11, 27724, 11, 2967, 2230, 11, 2064, 18354, 291, 11, 7936, 291, 11, 62195, 2454, 11, 82830, 11, 66185, 11, 1181, 1171, 11, 32813, 11, 30205, 11, 62915, 291, 11, 93972, 11, 61443, 291, 11, 20716, 4147, 11, 3703, 17106, 3340, 11, 3273, 3939, 198, 12, 2030, 15234, 311, 1518, 11, 994, 3278, 323, 3026, 36881, 11, 430, 3974, 682, 279, 3280, 304, 1521, 21160, 11, 430, 4250, 719, 387, 1370, 754, 2230, 11, 323, 1427, 1093, 279, 20566, 315, 279, 9061, 0, 482, 330, 22427, 661, 315, 33007, 54086, 1065, 11, 19121, 4149, 17890, 5659, 578, 1443, 62779, 96433, 1250, 763, 578, 54086, 1065, 1122, 11896, 7023, 52647, 1994, 9304, 24562, 3296, 578, 10315, 13, 386, 1910, 1105, 27508, 498, 33007, 54086, 1065, 12535, 859, 25, 10425, 88920, 15222, 4845, 627, 12, 1102, 574, 958, 5424, 839, 449, 459, 78571, 22843, 315, 66185, 323, 1370, 754, 2230, 11033, 11, 98887, 287, 304, 1202, 21261, 13, 482, 330, 791, 76233, 258, 70819, 498, 26349, 22653, 452, 5366, 627, 12, 12540, 264, 1633, 7701, 12, 18779, 21020, 87319, 387, 15236, 11, 279, 45697, 1288, 539, 387, 1370, 754, 2230, 11, 719, 94927, 7257, 25, 315, 279, 1403, 5528, 11, 279, 23900, 87319, 374, 3117, 16757, 13, 482, 330, 791, 6017, 315, 77073, 9744, 498, 18083, 13, 2209, 72690, 2893, 35794, 13, 128001, 128000, 35709, 6296, 54417, 198, 35709, 323, 18563, 527, 63676, 430, 527, 1511, 1603, 4339, 311, 1304, 1124, 2678, 477, 2466, 15947, 13, 1115, 374, 837, 449, 8162, 323, 18563, 68, 81192, 11, 8162, 323, 18563, 15740, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8162, 8629, 2191, 11, 8162, 18848, 323, 18563, 18848, 11, 8162, 17452, 323, 18563, 17452, 11, 323, 779, 389, 13, 578, 1160, 315, 4339, 430, 3727, 1005, 315, 1521, 63676, 374, 1317, 323, 73603, 13, 9176, 1274, 59217, 1990, 8162, 323, 18563, 8994, 14392, 430, 1521, 63676, 89522, 2678, 323, 3544, 15947, 13, 1115, 4652, 5097, 264, 12401, 1427, 520, 279, 1403, 63676, 311, 1505, 704, 872, 12062, 627, 1271, 3619, 279, 6811, 1990, 8162, 323, 18563, 11, 1095, 603, 1935, 709, 279, 3187, 315, 8162, 323, 18563, 15740, 13, 2057, 89522, 15740, 430, 5097, 2035, 2949, 264, 3254, 9606, 11, 279, 3492, 8162, 5230, 3294, 374, 1511, 20444, 15740, 430, 42590, 1438, 279, 23546, 315, 9606, 323, 5097, 2035, 389, 264, 1633, 3544, 5569, 374, 61937, 439, 18563, 5230, 3294, 13, 18056, 279, 16565, 315, 15740, 1778, 439, 56104, 11, 27472, 11, 5933, 6727, 11, 323, 12172, 7293, 279, 1890, 4028, 8162, 5230, 3294, 439, 1664, 439, 18563, 15740, 11, 420, 30296, 1990, 8162, 5230, 3294, 323, 18563, 5230, 3294, 374, 264, 2294, 1648, 311, 10552, 420, 5933, 25885, 627, 14364, 2115, 315, 4007, 430, 3727, 1005, 315, 8162, 323, 18563, 374, 28989, 13, 6104, 279, 4007, 315, 279, 8244, 8752, 323, 1268, 433, 4375, 374, 2663, 18563, 68, 81192, 11, 8162, 68, 81192, 24400, 389, 279, 3927, 1732, 11, 2883, 11, 477, 5064, 13, 14636, 11, 279, 4007, 315, 30830, 11, 14740, 11, 25544, 5099, 13, 304, 459, 8752, 374, 21771, 1234, 18563, 68, 81192, 13, 18654, 68, 81192, 374, 279, 4007, 315, 8603, 315, 7631, 323, 8312, 4871, 264, 4040, 5064, 2515, 287, 279, 11822, 323, 3600, 13, 2100, 433, 374, 18563, 68, 81192, 994, 45415, 5268, 311, 37455, 5304, 279, 1614, 315, 279, 8752, 304, 264, 7140, 20444, 279, 4007, 315, 264, 3254, 3157, 477, 5064, 8625, 2949, 279, 77563, 315, 8162, 68, 81192, 627, 3947, 374, 1101, 279, 4007, 315, 17452, 1405, 1521, 1403, 63676, 527, 17037, 1511, 13, 14636, 11, 584, 617, 8162, 63775, 1405, 279, 5357, 374, 5304, 279, 33384, 3966, 323, 8670, 315, 264, 3254, 3927, 1405, 1070, 374, 1101, 18563, 17452, 1405, 29642, 555, 279, 14286, 477, 1023, 6020, 14673, 374, 315, 1633, 3544, 7138, 627, 35709, 323, 18563, 527, 14592, 505, 18341, 4221, 1405, 8162, 3445, 2678, 323, 18563, 19813, 311, 3544, 13, 4314, 63676, 527, 1511, 304, 1690, 5151, 315, 4007, 1778, 439, 17452, 11, 28989, 11, 15740, 5099, 13, 1405, 584, 617, 4339, 1093, 8162, 17452, 323, 18563, 17452, 11, 8162, 15740, 323, 18563, 15740, 5099, 13, 7814, 7169, 2555, 520, 264, 2678, 2237, 374, 8162, 1418, 21630, 433, 389, 264, 3544, 5569, 374, 18563, 6492, 13, 93648, 279, 3966, 315, 459, 3927, 1253, 387, 8162, 29642, 20444, 279, 6020, 3966, 315, 264, 7514, 23537, 3300, 369, 264, 1633, 3544, 49276, 96797, 2447, 1253, 387, 14183, 311, 439, 18563, 17452, 13, 128001, 128000, 21886, 287, 482, 364, 6219, 36259, 518, 578, 9479, 7445, 75695, 4999, 44587, 2533, 9420, 706, 1027, 304, 14209, 1070, 617, 1027, 279, 18488, 323, 15061, 10980, 315, 1690, 2307, 22025, 812, 482, 6104, 100236, 71435, 11, 430, 25281, 1990, 220, 3965, 12, 3101, 3610, 1667, 4227, 374, 279, 1455, 1664, 22015, 11, 4972, 311, 430, 574, 452, 8733, 320, 16, 13, 23, 7239, 1667, 4227, 705, 13611, 2259, 320, 16, 7239, 1667, 4227, 8, 323, 1690, 810, 430, 4250, 387, 24884, 1606, 220, 17, 7239, 1060, 6418, 23902, 8649, 6029, 315, 24924, 5151, 11, 527, 2653, 311, 1505, 627, 3112, 1418, 1455, 14248, 527, 304, 9306, 430, 13611, 2259, 11, 452, 8733, 323, 100236, 71435, 1550, 3073, 11, 1070, 374, 1633, 2697, 24811, 389, 279, 66959, 814, 40056, 315, 482, 4427, 11909, 4510, 430, 814, 1051, 279, 1890, 6305, 11, 1418, 3885, 1781, 430, 279, 55063, 4363, 27428, 288, 312, 300, 26994, 389, 279, 14329, 11314, 1855, 892, 482, 922, 220, 5245, 11877, 3201, 505, 1405, 279, 3766, 2307, 75695, 1047, 2586, 3871, 627, 7184, 11, 264, 1912, 315, 3980, 22012, 6197, 555, 44552, 3907, 19560, 5575, 21116, 31038, 617, 264, 502, 10334, 482, 2435, 1781, 430, 1855, 2307, 75695, 3782, 3871, 922, 220, 1954, 11877, 505, 1202, 40274, 13, 3011, 374, 11, 279, 46139, 4219, 315, 13611, 2259, 574, 922, 220, 2421, 11877, 3201, 505, 279, 4219, 315, 452, 8733, 11, 24797, 279, 4219, 315, 11233, 425, 64, 11, 11846, 311, 617, 1027, 7559, 3221, 6617, 11477, 10384, 11, 574, 922, 220, 2421, 11877, 3201, 505, 279, 4219, 505, 1202, 2307, 14880, 40274, 11, 13611, 2259, 627, 9673, 29217, 430, 1051, 5068, 6931, 420, 1060, 1051, 3196, 539, 1193, 389, 279, 28639, 337, 17584, 320, 791, 21518, 315, 264, 2035, 520, 1063, 892, 304, 279, 3347, 11, 17303, 8844, 311, 279, 9578, 596, 24924, 51879, 304, 279, 1890, 4261, 8, 315, 279, 14154, 2307, 22025, 812, 11, 719, 1101, 11, 369, 279, 1176, 892, 279, 28639, 337, 647, 3993, 11, 430, 21116, 17303, 555, 77472, 1268, 279, 10687, 315, 279, 9420, 596, 24924, 51879, 617, 5614, 1555, 892, 627, 8142, 279, 10334, 374, 7185, 11, 1148, 374, 1524, 810, 779, 374, 430, 279, 2128, 706, 1101, 2586, 709, 449, 264, 1646, 315, 279, 1828, 2307, 75695, 13, 1442, 872, 17989, 527, 13687, 11, 927, 279, 1828, 2478, 7895, 3610, 1667, 11, 279, 259, 440, 14338, 25485, 1234, 279, 52248, 323, 13936, 690, 2225, 34738, 10411, 1637, 323, 11117, 13, 1115, 3445, 430, 6617, 1938, 4892, 323, 4987, 5270, 690, 2586, 3871, 323, 3719, 832, 14880, 4363, 27428, 11, 13770, 4628, 279, 35374, 15379, 6724, 13, 362, 4528, 7351, 304, 88177, 689, 320, 49137, 323, 4987, 18516, 13936, 8, 690, 5353, 279, 37518, 22302, 311, 32153, 14718, 279, 66959, 311, 32802, 449, 7008, 13, 578, 1121, 30, 362, 47283, 494, 788, 32843, 430, 814, 1650, 364, 6219, 36259, 4527, 578, 832, 3245, 430, 374, 539, 2288, 2867, 374, 422, 72787, 690, 387, 961, 315, 420, 477, 1120, 387, 2163, 63205, 627, 8142, 1690, 12074, 4510, 430, 279, 44552, 2128, 596, 10334, 374, 5115, 43303, 11, 19093, 690, 3596, 1440, 369, 2771, 482, 9393, 26907, 11, 7000, 315, 603, 527, 2133, 311, 387, 2212, 2478, 220, 1041, 3610, 1667, 505, 1457, 482, 2030, 433, 596, 2771, 2523, 311, 48146, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 502, 1917, 11, 4536, 956, 433, 30, 128001, 128000, 2345, 3028, 73658, 94193, 220, 679, 18, 107216, 42298, 70117, 5135, 315, 25378, 612, 18516, 20754, 198, 26840, 36059, 46824, 5135, 198, 20422, 13, 510, 18082, 948, 468, 2818, 7416, 11, 622, 58, 3180, 60, 480, 58, 352, 26680, 948, 37958, 529, 1561, 24720, 9728, 323, 53767, 5135, 315, 25378, 323, 18516, 20754, 505, 279, 29257, 10423, 8242, 50369, 13, 622, 1246, 13, 37958, 11, 220, 806, 2893, 1247, 1543, 800, 13, 1561, 4356, 13, 220, 9741, 22, 13, 25635, 315, 36303, 1131, 72387, 510, 4291, 18210, 60, 3314, 18880, 13, 6406, 14298, 82, 13, 24720, 80353, 13, 99983, 24720, 80353, 13, 510, 79, 858, 22676, 26418, 60, 8681, 53625, 315, 279, 3314, 315, 25378, 510, 54277, 4827, 29585, 1584, 520, 2163, 60, 41678, 13, 650, 13, 6706, 321, 220, 10562, 12656, 800, 13, 452, 7659, 13, 510, 3133, 291, 3770, 4827, 40545, 44186, 3973, 60, 76075, 4184, 311, 3298, 315, 8151, 11, 304, 279, 1060, 220, 9741, 22, 11, 555, 622, 1246, 13, 37958, 11, 304, 279, 63240, 753, 8410, 315, 279, 11182, 7301, 315, 279, 16642, 11182, 315, 1561, 4356, 13, 1561, 4356, 11, 220, 9741, 22, 13, 41678, 3257, 2472, 315, 18516, 20754, 11, 682, 315, 25378, 11, 323, 5596, 315, 7904, 49187, 11, 38379, 11, 21357, 11, 32790, 11, 323, 19174, 11, 17124, 389, 6201, 5296, 5684, 11, 2539, 1450, 35987, 11, 24743, 304, 10107, 16392, 18718, 11, 40545, 349, 3973, 315, 66008, 11, 52252, 11141, 11, 17118, 3778, 34133, 304, 61137, 520, 1855, 9309, 26, 29585, 1584, 311, 29585, 1584, 25, 220, 2983, 13, 23, 865, 220, 5495, 10166, 26, 3973, 311, 3973, 25, 220, 3971, 865, 220, 6028, 10166, 26, 8244, 11071, 1404, 25, 220, 1399, 865, 220, 4643, 10166, 26, 48135, 1139, 4113, 6307, 8126, 88950, 28392, 320, 975, 13, 22, 865, 220, 24, 13, 20, 10166, 705, 2316, 6661, 291, 304, 70599, 389, 8582, 3504, 320, 54, 6572, 529, 1561, 5135, 315, 25378, 323, 18516, 20754, 705, 17124, 14071, 842, 19716, 3611, 3366, 311, 4871, 8582, 3504, 320, 54, 6572, 529, 1796, 315, 1561, 62770, 570, 61289, 4325, 8941, 287, 311, 2472, 11, 264, 2478, 63563, 520, 1948, 2163, 11, 4335, 41567, 520, 264, 2478, 61607, 320, 2201, 18151, 705, 8244, 264, 7060, 3048, 449, 20333, 1933, 13, 1252, 5581, 320, 606, 3048, 315, 279, 220, 9741, 23, 14002, 7559, 555, 507, 3218, 34, 11, 3907, 315, 13286, 520, 64738, 4390, 5451, 14002, 13, 2876, 304, 5008, 33639, 753, 51576, 44615, 67245, 11, 477, 1023, 5410, 8336, 13, 24720, 43791, 6137, 311, 387, 3062, 304, 279, 5654, 304, 279, 3389, 220, 9741, 15, 82, 11, 719, 80865, 11, 279, 1193, 51576, 6982, 389, 420, 2472, 374, 279, 16867, 70117, 7228, 1990, 800, 13, 12140, 27179, 791, 40478, 311, 279, 4410, 33611, 323, 34644, 4409, 11, 449, 24210, 38411, 5238, 311, 279, 10411, 323, 10007, 315, 800, 13, 12140, 13, 39247, 398, 279, 991, 57119, 323, 1023, 33965, 1051, 1694, 12860, 555, 51576, 14242, 13, 1952, 279, 1023, 1450, 11, 3892, 11223, 5238, 527, 16717, 11, 1778, 439, 832, 505, 34644, 4409, 311, 20754, 4409, 11, 323, 2500, 505, 6706, 437, 2933, 44932, 11, 21357, 11, 311, 20754, 4409, 13, 2057, 50099, 11725, 7558, 42606, 622, 1246, 13, 37958, 320, 10828, 16, 12, 9367, 15, 8, 719, 8554, 1193, 832, 2472, 320, 66217, 8, 555, 1461, 13, 7089, 7559, 29085, 13519, 430, 568, 574, 4642, 92381, 304, 220, 9741, 22, 13, 42009, 936, 220, 9741, 21, 11, 37958, 4756, 264, 2472, 315, 20754, 323, 38379, 13, 763, 220, 9741, 22, 37958, 4756, 459, 24674, 3392, 315, 3769, 11, 1778, 439, 18301, 28292, 369, 21357, 320, 4438, 288, 468, 5154, 705, 38379, 320, 4438, 288, 468, 13860, 705, 323, 5526, 28292, 11, 1778, 439, 37958, 529, 5165, 8704, 12, 7280, 11, 323, 1524, 264, 2363, 389, 1268, 311, 387, 701, 1866, 14065, 13, 7089, 14370, 555, 37958, 304, 220, 9741, 22, 2997, 1561, 11360, 278, 5135, 315, 19461, 320, 9741, 22, 1237, 1561, 11360, 278, 5135, 315, 20754, 320, 9741, 22, 1237, 20754, 323, 38379, 320, 9741, 22, 1237, 1561, 11360, 278, 5135, 315, 38379, 320, 63578, 520, 1057, 45200, 220, 508, 304, 220, 1049, 22, 571, 400, 23, 11, 11057, 570, 1283, 1101, 4756, 459, 2073, 660, 84357, 2472, 315, 279, 16803, 5111, 304, 279, 220, 9714, 15, 82, 320, 606, 3048, 7559, 520, 3907, 315, 13286, 520, 64738, 570, 578, 1160, 315, 37958, 529, 36498, 29085, 389, 279, 4156, 3347, 291, 785, 374, 16358, 13, 578, 26454, 37958, 529, 7558, 12968, 2612, 574, 2875, 62954, 323, 71920, 11, 323, 682, 813, 14370, 527, 1633, 9024, 627, 6061, 30359, 5492, 765, 384, 11724, 25, 49293, 73737, 36587, 2726, 128001, 128000, 6854, 39700, 362, 1740, 26781, 34871, 5380, 51, 511, 354, 35838, 3145, 29096, 5933, 24549, 5552, 311, 28170, 469, 2345, 18864, 5376, 7013, 6650, 555, 439, 1790, 439, 220, 1958, 14062, 70793, 4814, 649, 5353, 3428, 659, 65906, 323, 264, 6996, 315, 12410, 304, 2225, 3026, 323, 3278, 13, 4800, 264, 4007, 304, 71343, 9601, 23199, 8483, 10187, 11471, 369, 7013, 77401, 96460, 323, 6821, 430, 55961, 354, 35838, 3145, 29096, 5933, 24549, 5552, 311, 28170, 469, 2345, 18864, 5376, 7013, 6650, 555, 439, 1790, 439, 220, 1958, 126437, 2568, 287, 279, 66060, 389, 701, 2010, 198, 53, 76652, 469, 374, 1903, 709, 315, 3116, 55961, 354, 35838, 3145, 323, 55961, 17370, 3145, 11, 15947, 2663, 8451, 11, 13746, 11, 22350, 11, 323, 9665, 13, 763, 420, 4007, 11, 220, 1987, 1274, 320, 63995, 3026, 8, 449, 7013, 4814, 11, 1051, 27716, 12893, 311, 5371, 220, 1041, 14060, 315, 9709, 55961, 354, 35838, 3145, 5636, 220, 2790, 81725, 315, 28170, 469, 320, 7288, 2442, 511, 17370, 337, 8, 477, 43715, 7446, 369, 8223, 4038, 13, 578, 1396, 315, 65426, 66060, 304, 264, 3230, 3158, 315, 1855, 25923, 753, 2010, 574, 41223, 520, 3116, 323, 8223, 4038, 627, 791, 55961, 354, 35838, 337, 1912, 10534, 459, 5578, 315, 220, 1958, 4, 810, 65426, 66060, 7863, 449, 279, 43715, 1912, 889, 10534, 264, 8275, 18979, 13, 2684, 574, 912, 5199, 5376, 304, 279, 4785, 315, 7013, 1206, 2877, 826, 304, 3060 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1912, 2391, 477, 1306, 279, 21623, 627, 791, 4007, 12283, 4068, 11, 1054, 32, 3284, 16540, 369, 279, 6372, 1436, 387, 4245, 311, 279, 36875, 70339, 5820, 315, 55961, 354, 35838, 3145, 430, 1520, 311, 8108, 68700, 824, 85078, 367, 323, 79401, 8631, 304, 279, 65426, 11, 902, 527, 3967, 311, 387, 5938, 449, 54266, 81060, 320, 51729, 4814, 570, 863, 1115, 374, 264, 2678, 4007, 11, 323, 4726, 3495, 374, 4460, 311, 19874, 323, 7838, 279, 3560, 315, 55961, 354, 35838, 3145, 304, 27252, 7013, 4814, 627, 50179, 369, 14892, 449, 7013, 4814, 198, 12, 3580, 264, 10896, 13, 1442, 499, 527, 25051, 7013, 4814, 430, 10742, 499, 11, 1518, 264, 10896, 13, 362, 10896, 649, 1520, 8417, 422, 701, 7013, 4814, 374, 264, 5933, 1121, 315, 30084, 477, 374, 9057, 555, 1023, 9547, 1778, 439, 43226, 72946, 11, 24099, 3185, 6372, 11, 477, 54060, 11, 6930, 11, 477, 88191, 8624, 13, 362, 10896, 649, 1101, 1520, 499, 5268, 505, 264, 1396, 315, 21349, 323, 5933, 2671, 430, 1253, 1520, 8108, 7013, 4814, 323, 7417, 6650, 627, 12, 4418, 1431, 1095, 433, 636, 499, 1523, 13, 763, 5369, 311, 7013, 753, 3674, 12939, 11, 433, 1101, 17482, 7106, 5865, 11, 1778, 439, 22973, 701, 65426, 505, 279, 7160, 13, 26781, 4814, 649, 7958, 264, 1732, 38683, 11, 323, 5606, 889, 11704, 36021, 7013, 4814, 1288, 5662, 704, 311, 264, 2890, 6721, 369, 1520, 627, 4233, 51172, 9601, 23199, 8483, 220, 679, 15, 26, 1691, 25, 5925, 4235, 24, 340, 63602, 23750, 11, 14306, 11, 4580, 62134, 1908, 304, 5419, 16088, 11, 17482, 304, 264, 8205, 315, 6721, 13073, 2737, 31760, 11, 23672, 11, 323, 72146, 13, 2999, 13, 23750, 11, 264, 33135, 63462, 520, 11799, 13235, 6150, 304, 24372, 11, 14689, 11, 14238, 42817, 922, 2890, 323, 39890, 323, 264, 8205, 315, 1023, 13650, 369, 40343, 15324, 11351, 11, 13335, 11, 323, 1194, 29085, 13, 328, 2509, 704, 369, 1077, 19248, 304, 279, 5789, 315, 8936, 1413, 323, 71123, 16088, 11, 1364, 374, 14134, 24116, 555, 5426, 323, 2254, 3772, 13, 2999, 13, 23750, 374, 264, 6721, 72235, 369, 18985, 15749, 11, 13723, 11, 323, 12822, 323, 374, 264, 5912, 13166, 19114, 13, 128001, 128000, 791, 16147, 11988, 596, 49924, 5825, 2038, 311, 62425, 323, 8641, 4236, 389, 279, 1853, 311, 264, 6992, 14584, 7076, 13, 1102, 690, 1101, 1520, 6699, 323, 11351, 430, 527, 85441, 4236, 311, 8891, 872, 16627, 5178, 627, 7279, 2009, 5230, 263, 6652, 37514, 596, 5016, 5817, 337, 5174, 8641, 374, 10409, 449, 15525, 2038, 311, 1520, 4236, 636, 323, 4822, 17057, 11, 1778, 439, 512, 12, 55293, 369, 3927, 3878, 323, 279, 1060, 439, 264, 4459, 198, 12, 19723, 11, 16720, 11, 323, 24481, 10631, 198, 12, 35527, 323, 5178, 15194, 7739, 198, 12, 3308, 323, 4007, 6935, 295, 4893, 198, 12, 362, 15438, 50811, 4537, 5036, 198, 1383, 10695, 4236, 311, 2731, 31335, 872, 7978, 11, 578, 16147, 11988, 596, 49924, 70390, 4236, 311, 12265, 304, 872, 14584, 90887, 11, 5825, 264, 3445, 315, 47614, 5178, 11, 323, 36611, 5789, 430, 1205, 16048, 13, 128001, 128000, 4808, 688, 477, 2585, 20335, 11, 8108, 701, 5326, 369, 4851, 8624, 198, 91, 93585, 10990, 4015, 43837, 25, 622, 4760, 56, 473, 44704, 2770, 11, 220, 2287, 198, 2746, 499, 617, 20335, 11, 499, 2351, 1790, 810, 4461, 311, 617, 4851, 8624, 11, 264, 4851, 3440, 477, 264, 12943, 13, 763, 2144, 11, 1403, 704, 315, 2380, 1274, 449, 20335, 2815, 505, 4851, 8624, 477, 12943, 13, 2030, 499, 649, 4018, 701, 17393, 315, 3515, 1521, 5435, 555, 4737, 3361, 2512, 315, 701, 4851, 323, 6680, 31080, 627, 41, 18339, 45677, 11, 220, 2287, 11, 315, 29576, 51872, 11, 3952, 1957, 323, 1457, 706, 1077, 20335, 1234, 2585, 627, 7189, 574, 64770, 1359, 2795, 45677, 13, 330, 2520, 4848, 1667, 856, 362, 16, 34, 12483, 1047, 1027, 2133, 709, 11, 1524, 3582, 358, 574, 4737, 32152, 10246, 32, 16, 34, 11, 264, 1296, 315, 5578, 6680, 34323, 5990, 927, 1403, 311, 2380, 4038, 11, 374, 264, 1401, 21070, 315, 1268, 1664, 20335, 374, 14400, 627, 33703, 5587, 220, 679, 15, 994, 856, 5573, 8813, 220, 22, 13, 20, 1389, 433, 596, 10171, 311, 387, 1234, 220, 22, 1389, 856, 10896, 3288, 757, 311, 279, 22653, 53689, 5955, 13, 14853, 4038, 3010, 11, 856, 362, 16, 34, 574, 220, 21, 13, 16, 323, 358, 4265, 5675, 220, 1758, 16701, 11, 2085, 21760, 389, 13490, 4785, 13, 4800, 358, 1205, 2753, 24099, 323, 2733, 1790, 2731, 10246, 34311, 520, 279, 22653, 53689, 5955, 990, 449, 6978, 1093, 55158, 311, 1520, 1124, 1304, 19433, 4442, 430, 3063, 311, 39345, 41943, 11, 7319, 5820, 323, 11, 13967, 11, 4827, 362, 16, 34, 12483, 627, 1, 94917, 617, 311, 387, 656, 481, 1359, 2795, 90134, 30511, 780, 11, 264, 14830, 29198, 72146, 449, 279, 22653, 53689, 5955, 13, 330, 2746, 279, 1732, 12775, 956, 62113, 304, 220, 868, 1667, 11, 584, 2351, 539, 2133, 311, 7079, 6041, 449, 220, 1774, 4520, 315, 7446, 10368, 13, 12361, 11, 584, 2643, 4284, 264, 220, 605, 12, 868, 9568, 4321, 11, 2380, 3115, 264, 1938, 10246, 39, 408, 1293, 2795, 814, 14407, 1077, 362, 16, 34, 5219, 323, 22690, 1077, 1515, 311, 8417, 1148, 2643, 990, 1888, 627, 12348, 9087, 311, 1935, 856, 6680, 13465, 3116, 3115, 264, 1938, 4619, 315, 1120, 3131, 1359, 2795, 45677, 13, 330, 791, 1455, 24629, 3245, 574, 6975, 311, 2567, 7576, 13, 358, 1457, 1515, 23819, 40174, 11, 279, 53609, 358, 8343, 11, 856, 7640, 323, 31010, 10246, 2520, 810, 2038, 922, 279, 22653, 53689, 5955, 11, 4034, 8604, 10265, 1637, 2726, 3529, 72, 16629, 477, 1650, 320, 18660, 8, 220, 22369, 12, 14423, 18, 13, 128001, 128000, 27504, 220, 21, 25, 24838, 323, 17977, 287, 26788, 198, 16834, 279, 4519, 304, 279, 9156, 34192, 14908, 323, 12917, 4236, 279, 81610, 1648, 311, 13141, 1817, 323, 1505, 86506, 690, 18885, 872, 4477, 13, 4324, 264, 3896, 430, 5764, 279, 2038, 430, 264, 5575, 3966, 311, 12722, 2010, 264, 5684, 690, 8108, 90034, 323, 2187, 279, 5575, 311, 7214, 3240, 990, 389, 279, 2262, 627, 12, 52878, 690, 1005, 279, 57253, 28132, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 323, 3313, 1495, 4519, 311, 8108, 279, 1396, 315, 100232, 56137, 323, 6103, 627, 12, 52878, 690, 1005, 279, 1314, 8814, 3215, 311, 6288, 1817, 872, 43529, 323, 1505, 86506, 315, 4339, 627, 12, 52878, 690, 1893, 264, 3896, 430, 5727, 279, 5995, 5575, 2038, 369, 264, 5684, 14836, 13, 15483, 439, 836, 11, 2457, 11, 538, 836, 627, 1271, 3240, 279, 1176, 21579, 15330, 11, 4299, 1618, 13, 128001, 128000, 32, 2763, 315, 36377, 527, 20097, 311, 11722, 3201, 449, 279, 15372, 51165, 323, 2322, 1590, 320, 258, 14733, 4221, 11, 4587, 8, 323, 358, 23289, 430, 2643, 3449, 279, 6661, 315, 279, 2383, 389, 9282, 2038, 13, 2030, 1070, 374, 779, 1790, 810, 1109, 430, 311, 9282, 323, 279, 18178, 889, 9711, 1063, 5149, 1139, 8830, 9282, 11, 323, 1268, 433, 22223, 813, 16706, 11, 690, 1505, 2753, 9282, 14228, 46540, 439, 264, 11213, 90765, 13, 6914, 596, 1427, 520, 1063, 315, 279, 32874, 430, 527, 2561, 311, 603, 323, 1518, 1148, 584, 4048, 505, 1124, 627, 791, 89098, 25, 22105, 279, 3492, 374, 73956, 11, 719, 439, 433, 8111, 520, 279, 7314, 315, 459, 3158, 18057, 433, 374, 13524, 264, 4096, 315, 279, 9282, 2472, 13, 1102, 374, 8272, 555, 264, 30614, 323, 9282, 18057, 13, 3234, 2343, 6666, 311, 279, 5296, 330, 8284, 386, 8143, 74394, 2641, 3453, 9437, 555, 362, 3910, 477, 356, 1953, 1210, 3011, 3445, 9624, 23963, 527, 8965, 3485, 9581, 2237, 3734, 1405, 10555, 13, 6295, 6811, 304, 279, 24405, 627, 10445, 374, 420, 6913, 1537, 3062, 30, 578, 3813, 315, 1579, 323, 3428, 7410, 5789, 323, 64490, 10975, 264, 2763, 922, 279, 4787, 430, 690, 387, 2561, 369, 16706, 13, 1442, 264, 8577, 374, 19946, 9017, 264, 3428, 477, 264, 4156, 11, 4787, 690, 4461, 39436, 349, 279, 12401, 279, 44024, 5334, 311, 279, 3044, 13, 93505, 690, 4762, 387, 5190, 323, 93650, 4827, 13, 2468, 4827, 4902, 21237, 11, 1070, 690, 4461, 387, 95167, 304, 279, 66746, 10353, 13, 1115, 1253, 539, 387, 20611, 1481, 2518, 719, 433, 690, 1304, 279, 16706, 810, 5107, 323, 904, 22961, 2753, 10882, 627, 1687, 617, 311, 387, 16994, 449, 9282, 14370, 13, 578, 6305, 389, 6007, 304, 279, 6693, 8965, 1501, 9282, 369, 279, 4459, 1938, 13, 1789, 16706, 11, 584, 1205, 311, 1440, 1148, 374, 3685, 311, 3073, 520, 264, 5300, 892, 13, 23479, 30371, 320, 2000, 63903, 537, 292, 8, 27223, 527, 2561, 389, 279, 3566, 520, 11621, 85652, 367, 15561, 18847, 5418, 14489, 13, 2684, 374, 264, 2763, 315, 1023, 1695, 6392, 1070, 11, 2737, 264, 5505, 76106, 18057, 627, 43, 4336, 25, 12310, 7410, 5789, 527, 810, 3062, 311, 16706, 9282, 1109, 1579, 7410, 5789, 1606, 279, 66246, 1304, 279, 3709, 3516, 6072, 430, 8815, 603, 13, 578, 35855, 2212, 264, 3428, 374, 5663, 55388, 4583, 304, 279, 18671, 69766, 323, 3805, 28555, 2212, 323, 1139, 264, 3428, 323, 1243, 4319, 24031, 40872, 13, 12310, 7410, 5789, 4661, 2744, 3351, 11, 3582, 814, 649, 3719, 53735, 477, 95675, 304, 872, 7351, 13, 578, 4725, 7351, 315, 264, 7479, 3428, 374, 17715, 449, 279, 10160, 6530, 520, 279, 220, 2636, 1474, 484, 106954, 2237, 11, 477, 922, 220, 972, 11, 931, 7693, 13, 578, 30371, 27223, 690, 1501, 279, 28448, 7351, 315, 66246, 11, 477, 499, 649, 1427, 520, 279, 220, 972, 11, 931, 21117, 10160, 18057, 323, 51187, 279, 7351, 627, 14585, 66246, 527, 1120, 430, 25, 4686, 4319, 7607, 54266, 728, 13, 2435, 527, 6485, 11, 433, 374, 5107, 311, 18057, 279, 18488, 11, 7351, 477, 14091, 49686, 315, 459, 8582, 3428, 11, 323, 814, 649, 1304, 35507, 9282, 927, 264, 7029, 3158, 13, 21839, 4018, 12744, 477, 8036, 66246, 54266, 728, 11, 422, 832, 374, 32115, 14373, 11, 279, 1888, 7479, 18057, 374, 369, 19815, 1206, 351, 13, 5884, 7479, 3428, 2643, 539, 387, 6089, 3770, 279, 3428, 54266, 728, 11, 323, 279, 3805, 93378, 1139, 279, 7479, 3428, 323, 1243, 709, 1139, 279, 3428, 54266, 728, 649, 387, 5115, 46376, 13, 11717, 2035, 311, 11722, 627, 24284, 82, 25, 2435, 2586, 304, 9439, 11, 8369, 11, 53735, 477, 18274, 10391, 11028, 13, 578, 9439, 8205, 649, 18533, 6129, 37943, 83109, 11, 5423, 994, 279, 3428, 374, 3831, 323, 279, 9499, 6811, 389, 279, 8369, 323, 9439, 3185, 315, 279, 4156, 374, 2294, 13, 46863, 64490, 1304, 369, 3709, 1001, 9282, 927, 264, 22622, 3158, 323, 649, 57511, 23711, 37943, 83109, 627, 46, 66, 10391, 64490, 11, 8965, 1766, 1405, 264, 9439, 4156, 43661, 2094, 264, 8369, 4156, 1606, 315, 459, 48298, 3831, 35855, 2212, 264, 3428, 11, 649, 1304, 369, 35507, 11, 293, 6895, 16706, 13, 1115, 374, 5423, 837, 1120, 439, 279, 64490, 527, 6041, 311, 18274, 866, 13, 29837, 439, 3117, 3201, 505, 279, 10043, 3428, 439, 3284, 627, 20348, 661, 64490, 2586, 994, 264, 3428, 281, 2481, 704, 477, 11031, 779, 3117, 3201, 430, 279, 35855, 374, 912, 5129, 3831, 3403, 311, 3351, 279, 64490, 13, 578, 9282, 2643, 4822, 3958, 369, 2919, 304, 264, 53735, 66746, 10353, 323, 1193, 279, 4500, 315, 264, 3831, 502, 3428, 690, 2349, 2574, 13, 1442, 682, 279, 5137, 369, 264, 4156, 527, 539, 2322, 11, 279, 3044, 2643, 387, 2663, 264, 79065, 323, 11, 311, 264, 18178, 11, 433, 2643, 2873, 369, 682, 279, 1917, 1093, 264, 1972, 4156, 627, 3692, 78447, 25, 4897, 596, 5042, 1405, 279, 3805, 374, 5108, 505, 13, 20796, 553, 279, 6530, 2212, 279, 3428, 323, 422, 279, 2592, 315, 279, 3428, 11852, 3805, 3235, 701, 6149, 374, 21147, 11, 439, 304, 430, 5108, 505, 927, 279, 54280, 477, 279, 27945, 315, 12550, 477, 7188, 11, 1243, 1070, 690, 387, 11510, 315, 14293, 369, 30614, 323, 11422, 13, 578, 16643, 279, 6530, 11, 279, 810, 3062, 420, 9221, 627, 59918, 25, 362, 4686, 18178, 7978, 10160, 11, 5423, 7479, 323, 10160, 54266, 728, 51165, 13, 1442, 279, 51165, 527, 26518, 10539, 11, 430, 3445, 279, 1646, 315, 279, 16975, 374, 13687, 323, 279, 1023, 51165, 1288, 387, 5128, 1695, 13, 1442, 279, 10160, 18057, 374, 15465, 11, 1243, 279, 1023, 51165, 2643, 387, 2288, 13, 44493, 11, 264, 10160, 430, 374, 810, 5945, 700, 398, 477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 384, 2352, 398, 1109, 18057, 3445, 279, 7479, 9282, 690, 387, 11201, 1109, 18057, 13, 362, 16643, 10160, 1109, 18057, 3445, 430, 279, 3428, 7410, 3158, 14718, 279, 10160, 374, 16643, 1109, 18057, 627, 59918, 65344, 374, 3062, 11, 2288, 13, 69946, 439, 264, 2349, 304, 5216, 323, 5255, 15798, 927, 6138, 477, 2673, 11, 10160, 65344, 649, 1121, 304, 42702, 95167, 323, 649, 1893, 3428, 34450, 3993, 52642, 2212, 46163, 13, 2684, 374, 2744, 10160, 65344, 304, 66746, 26467, 323, 1405, 5789, 315, 3831, 10160, 320, 15769, 23914, 11, 30314, 82, 477, 36804, 8, 54266, 728, 16681, 449, 5789, 315, 30673, 29592, 627, 41790, 612, 50400, 2837, 25, 1115, 374, 2216, 6913, 11, 719, 1521, 3673, 3041, 43775, 311, 264, 2763, 315, 2574, 13, 1226, 4048, 4216, 323, 3629, 430, 422, 814, 527, 3345, 11, 279, 16706, 9282, 47521, 13, 2435, 527, 5423, 3062, 439, 279, 1938, 374, 13696, 323, 7314, 11, 994, 264, 2678, 9041, 649, 1121, 304, 19019, 39436, 1113, 9282, 1306, 44084, 11, 477, 31349, 520, 323, 1120, 1306, 64919, 13, 1442, 1070, 374, 264, 2466, 6811, 304, 279, 9499, 323, 67532, 2837, 8469, 315, 323, 4920, 264, 9439, 4156, 11, 1070, 374, 4762, 264, 2763, 315, 1957, 304, 279, 66746, 10353, 13, 7429, 11, 422, 279, 9499, 54266, 728, 374, 46039, 1109, 18057, 11, 430, 3445, 810, 32257, 13, 578, 5845, 315, 279, 16975, 311, 3412, 32257, 40396, 449, 1475, 220, 806, 12628, 62447, 10205, 304, 9499, 13, 3011, 374, 3249, 11, 994, 279, 7556, 14971, 2019, 264, 8987, 11422, 1053, 617, 1027, 779, 1790, 12056, 11, 814, 1541, 956, 1440, 1148, 814, 527, 7556, 922, 13, 128001, 128000, 38, 8506, 19513, 25, 6287, 220, 914, 11, 220, 679, 16, 198, 3915, 452, 16519, 82886, 198, 21464, 38530, 68276, 198, 21464, 40558, 527, 3062, 323, 3629, 1234, 20624, 2827, 10234, 7230, 258, 3046, 13, 1442, 499, 4265, 1093, 311, 1505, 704, 810, 922, 1521, 11190, 41911, 323, 1148, 499, 649, 656, 311, 78548, 323, 6144, 1124, 389, 701, 3424, 323, 304, 701, 4029, 11, 1212, 555, 5403, 922, 1124, 304, 38530, 68276, 25, 1556, 29438, 311, 5751, 17118, 2893, 288, 555, 2999, 13, 27894, 25772, 6178, 4993, 323, 2999, 13, 18587, 34378, 18022, 627, 2028, 36498, 42117, 2199, 74343, 11, 4756, 555, 279, 61091, 20585, 5475, 323, 25385, 17720, 47362, 11, 374, 2561, 439, 264, 1949, 4232, 505, 279, 25385, 17720, 13374, 3997, 477, 649, 387, 11713, 304, 264, 1194, 2373, 13, 3161, 2038, 389, 38328, 62690, 11, 67810, 11, 323, 369, 4210, 3966, 11, 3235, 449, 21542, 315, 10068, 40558, 323, 459, 16781, 3857, 389, 29711, 323, 1148, 499, 649, 656, 311, 1520, 2567, 10068, 38328, 22673, 9498, 11, 279, 74343, 5825, 264, 12205, 315, 2038, 5439, 304, 459, 15987, 11827, 13, 1789, 1884, 889, 1390, 311, 82845, 19662, 11, 1070, 374, 264, 11190, 5211, 3857, 627, 791, 25385, 17720, 13374, 3997, 430, 374, 10209, 279, 1949, 4232, 5727, 459, 7274, 449, 832, 315, 279, 1080, 34603, 1105, 315, 38530, 68276, 11, 3235, 449, 16781, 2038, 389, 682, 13124, 315, 7230, 258, 3046, 627, 1271, 4232, 38530, 68276, 323, 1505, 704, 810, 922, 7230, 258, 3046, 11, 733, 311, 25, 25385, 258, 3046, 13374, 627, 43, 287, 4776, 30246, 315, 763, 78134, 51567, 198, 791, 50953, 44219, 9057, 555, 53354, 11012, 9606, 374, 264, 15603, 3575, 13, 578, 2853, 315, 279, 12434, 323, 7100, 5536, 315, 1521, 91321, 374, 13240, 311, 387, 304, 279, 12818, 315, 400, 16, 13, 19, 32610, 30171, 0, 24191, 3495, 374, 1694, 2884, 311, 2586, 709, 449, 15174, 311, 2585, 279, 9041, 315, 77344, 11012, 323, 30437, 872, 5536, 389, 5933, 61951, 13, 4800, 502, 3495, 13533, 430, 5042, 18054, 53354, 9606, 1253, 539, 471, 6136, 10977, 311, 872, 864, 3502, 59093, 3044, 627, 5920, 315, 11469, 2585, 15174, 369, 53354, 11012, 18065, 8830, 279, 17910, 430, 2187, 3738, 9606, 311, 3719, 53354, 304, 279, 1176, 2035, 11, 9547, 1778, 439, 11542, 505, 5933, 14207, 11, 65858, 304, 279, 4676, 11, 323, 279, 5845, 315, 11012, 311, 4984, 33155, 430, 5471, 27260, 11012, 505, 7982, 627, 1271, 4007, 1268, 279, 22639, 1990, 682, 315, 1521, 9547, 7958, 279, 2450, 315, 459, 53354, 9606, 11, 26453, 505, 279, 3907, 315, 7188, 323, 279, 3907, 315, 21073, 20041, 53354, 72426, 54454, 11, 16071, 57440, 31791, 1015, 13247, 83718, 660, 8, 323, 1202, 2515, 389, 264, 10068, 294, 50156, 11, 9939, 7420, 263, 2840, 21068, 355, 11, 304, 7188, 13, 1666, 7633, 304, 459, 4652, 304, 10170, 13690, 389, 6287, 220, 605, 11, 220, 679, 16, 11, 814, 1766, 430, 2167, 10937, 1990, 72426, 54454, 323, 279, 294, 50156, 41853, 369, 1790, 315, 1202, 2926, 2450, 4245, 311, 279, 29050, 6650, 315, 279, 16763, 323, 1202, 44611, 17425, 2482, 627, 4071, 814, 1101, 1766, 430, 72426, 54454, 29852, 279, 6070, 315, 279, 10068, 4029, 315, 17614, 44304, 11, 11951, 279, 856, 6133, 41196, 450, 278, 81540, 304, 279, 17614, 13, 1115, 2349, 11293, 279, 7720, 315, 279, 856, 6133, 41196, 450, 6043, 311, 279, 10068, 294, 50156, 2085, 3515, 904, 8389, 5536, 389, 279, 72426, 54454, 13, 1628, 279, 4442, 304, 279, 17614, 4029, 54095, 1524, 1306, 279, 72426, 54454, 574, 7108, 11, 13893, 28987, 279, 312, 34500, 479, 315, 279, 10068, 11012, 627, 9673, 14955, 4284, 430, 21630, 279, 8389, 6372, 53354, 9606, 617, 389, 279, 72546, 315, 279, 17614, 706, 3062, 25127, 369, 12074, 889, 527, 3411, 520, 5627, 311, 50460, 872, 6372, 627, 1271, 1373, 810, 922, 279, 6372, 315, 53354, 11012, 1524, 1306, 17065, 11, 733, 311, 25, 10170, 13690, 627, 10061, 480, 89367, 6178, 339, 3658, 198, 791, 342, 89367, 98178, 374, 459, 11784, 27080, 430, 374, 832, 315, 279, 1455, 40652, 76056, 315, 12690, 323, 14362, 16115, 3596, 311, 5662, 1057, 63263, 13, 11699, 86525, 6566, 11, 264, 6453, 11, 51133, 29068, 77602, 449, 7123, 315, 2579, 323, 6437, 19300, 389, 1202, 1203, 11, 374, 264, 4689, 58107, 430, 3567, 2530, 810, 1109, 220, 10617, 9606, 315, 11012, 0, 578, 29068, 50946, 1590, 53268, 389, 11141, 11, 9564, 711, 337, 10234, 11012, 58764, 323, 8530, 1524, 7577, 13, 1115, 44885, 927, 86, 51040, 439, 17560, 9976, 7561, 34902, 1317, 19151, 32738 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 430, 1427, 1093, 264, 1206, 12055, 315, 14531, 477, 11783, 58822, 66060, 389, 5021, 490, 15655, 11, 16166, 14891, 11, 477, 279, 11314, 315, 14016, 627, 21464, 311, 4606, 323, 13936, 11, 279, 342, 89367, 98178, 574, 33484, 11784, 304, 279, 10406, 3158, 304, 279, 220, 9714, 15, 596, 323, 706, 2533, 9041, 311, 1790, 315, 279, 24024, 3723, 4273, 13, 2684, 617, 1101, 1027, 1063, 4225, 478, 811, 389, 279, 4410, 16377, 430, 3782, 505, 13936, 13, 763, 459, 5149, 311, 2567, 420, 44885, 505, 31135, 4726, 11, 279, 61091, 7612, 40962, 311, 25052, 323, 4148, 342, 89367, 98178, 19151, 32738, 505, 14048, 11822, 4972, 311, 7366, 505, 459, 4225, 10185, 311, 264, 2536, 48336, 10185, 3158, 627, 2746, 499, 617, 264, 3351, 13205, 11, 1176, 1505, 704, 422, 499, 527, 304, 264, 342, 89367, 98178, 74801, 277, 519, 1619, 3158, 555, 13598, 704, 279, 4718, 14903, 480, 89367, 6178, 339, 3658, 3997, 13, 2684, 499, 649, 1101, 4048, 1268, 311, 25052, 701, 16166, 14048, 9908, 1778, 439, 37125, 14891, 11, 20085, 7241, 11, 16166, 23939, 11, 323, 279, 1093, 11, 369, 342, 89367, 98178, 19151, 32738, 323, 4148, 1124, 13, 17586, 13598, 11, 499, 649, 95119, 398, 4546, 279, 98178, 449, 499, 323, 5326, 11682, 311, 279, 18921, 12690, 323, 14362, 16115, 323, 5933, 36658, 304, 701, 502, 4029, 627, 9171, 704, 264, 26222, 659, 22610, 16463, 53673, 477, 4232, 264, 79903, 449, 682, 279, 2038, 499, 1205, 311, 3351, 21676, 323, 26069, 449, 6918, 2383, 13, 2057, 52122, 701, 18468, 7512, 11, 499, 649, 1524, 1514, 279, 2523, 11, 389, 8614, 71433, 7561, 5364, 8942, 1847, 627, 2520, 810, 2038, 11, 733, 311, 25, 4718, 14903, 480, 89367, 6178, 339, 3658, 627, 43, 72127, 22854, 69395, 198, 1687, 682, 4762, 6562, 584, 1047, 459, 10534, 22641, 804, 584, 1436, 1650, 389, 369, 9650, 15716, 5435, 31889, 304, 279, 13863, 13, 1789, 1884, 315, 603, 2085, 1778, 264, 282, 632, 315, 6677, 11, 279, 63641, 22854, 69395, 505, 279, 3907, 315, 23481, 596, 5492, 19558, 8245, 5955, 1253, 387, 279, 1828, 1888, 3245, 627, 2028, 2816, 6209, 70164, 7039, 311, 1520, 58681, 323, 11886, 6136, 5435, 11, 1701, 18751, 44885, 6373, 16565, 13, 22991, 505, 264, 1160, 315, 7353, 11306, 11, 1778, 439, 28601, 12690, 11, 24822, 11, 477, 3838, 64805, 13, 5112, 3373, 279, 11754, 6136, 961, 505, 279, 6068, 15220, 5130, 13, 1115, 12716, 709, 264, 70164, 6727, 315, 13803, 13, 22991, 279, 832, 430, 5084, 311, 5052, 323, 499, 636, 264, 2199, 315, 2038, 389, 279, 3575, 11, 1202, 5353, 11, 323, 57340, 8647, 5627, 311, 4322, 433, 13, 2684, 374, 1101, 2038, 389, 1268, 311, 1427, 520, 264, 6136, 311, 1888, 8720, 1202, 13803, 11, 24629, 41911, 11, 323, 24084, 44885, 18208, 627, 791, 2038, 706, 1027, 2231, 3871, 449, 279, 14013, 12, 78625, 5654, 439, 1202, 5357, 11, 719, 1070, 374, 10283, 315, 1695, 2038, 430, 690, 387, 315, 1005, 311, 13863, 388, 304, 1023, 5596, 315, 279, 3224, 627, 1271, 1817, 704, 420, 2294, 5211, 11, 733, 311, 18317, 7923, 15920, 13, 128001, 128000, 72204, 2574, 15541, 709, 264, 41630, 12688, 18921, 1093, 279, 49592, 2579, 85483, 44814, 315, 53103, 54842, 690, 363, 13, 1115, 2653, 88, 11, 5043, 56657, 6136, 28815, 18182, 439, 264, 3544, 5021, 11, 719, 433, 649, 6847, 387, 6656, 1139, 264, 7447, 5594, 336, 2106, 14362, 392, 555, 9974, 57100, 10332, 320, 10453, 1303, 44814, 1203, 7154, 311, 279, 5015, 570, 578, 72021, 19646, 1933, 13980, 1193, 389, 3995, 44814, 11, 779, 57100, 10332, 13912, 279, 6136, 2678, 323, 11767, 311, 279, 1888, 54842, 3113, 13, 64916, 54842, 690, 363, 706, 15376, 11, 11298, 6307, 11141, 430, 2543, 14071, 304, 279, 4498, 13, 1102, 649, 387, 15042, 86599, 477, 11, 369, 1972, 21004, 11, 304, 5315, 477, 439, 305, 17327, 627, 11076, 836, 25, 64916, 54842, 690, 363, 198, 24406, 45983, 836, 25, 8375, 953, 453, 4749, 1207, 2203, 13, 13458, 616, 2259, 3451, 36328, 19059, 285, 529, 320, 20960, 13, 328, 13, 453, 4749, 3451, 36328, 19059, 285, 529, 340, 55747, 955, 25, 3799, 307, 9373, 5021, 198, 57, 3233, 25, 220, 18, 311, 220, 23, 198, 3724, 25, 220, 1272, 311, 220, 1399, 7693, 320, 21, 311, 220, 605, 7693, 422, 15042, 439, 264, 57100, 7725, 14362, 392, 340, 6806, 8219, 25, 8797, 7160, 198, 6806, 76619, 25, 2467, 391, 2048, 311, 1455, 17614, 4595, 198, 6806, 82804, 554, 25, 24478, 311, 21147, 198, 6806, 30451, 331, 25, 220, 17, 311, 220, 18, 15271, 315, 7732, 24512, 477, 1023, 17808, 15975, 331, 198, 6806, 2394, 38302, 25, 2057, 3139, 439, 264, 14362, 392, 11, 4018, 682, 44814, 1203, 311, 2949, 264, 2478, 15271, 505, 279, 5015, 304, 4216, 10683, 1855, 1060, 13, 1789, 5021, 1376, 11, 1120, 80626, 34504, 311, 7417, 1376, 323, 4148, 904, 20727, 23962, 627, 6806, 435, 86795, 3213, 25, 2290, 11, 477, 3881, 57823, 477, 24770, 65391, 439, 4460, 198, 47, 18450, 323, 19338, 198, 6806, 16687, 1512, 1260, 311, 1063, 41911, 320, 14724, 363, 16312, 98486, 11, 19646, 293, 15171, 11, 89111, 3447, 8, 323, 19338, 320, 66, 1201, 388, 11, 16312, 1529, 2866, 340, 6806, 1666, 449, 1455, 690, 4336, 11, 53103, 54842, 690, 363, 55064, 21147, 17614, 323, 1587, 5423, 1664, 3221, 89455, 477, 23914, 627, 6806, 578, 34966, 44814, 1427, 2294, 304, 12688, 28904, 34632, 477, 55154, 627, 2460, 304, 279, 3070, 198, 6806, 64916, 54842, 690, 363, 374, 264, 4562, 315, 279, 690, 363, 3070, 320, 17691, 292, 114785, 705, 902, 1101, 5764, 2477, 75, 1590, 323, 114827, 729, 320, 11859, 19990, 91799, 13, 4390, 6806, 2684, 527, 922, 220, 3443, 9606, 315, 690, 363, 320, 17691, 953, 8, 24950, 505, 12690, 220, 1490, 10, 7693, 16615, 311, 88692, 453, 39138, 11012, 2753, 1109, 220, 21, 15271, 16615, 627, 6806, 65449, 54842, 8819, 706, 1027, 1511, 439, 459, 7294, 67595, 369, 24552, 26, 433, 5727, 4371, 2912, 416, 13935, 11, 902, 574, 264, 1401, 25795, 304, 279, 1176, 7739, 315, 6617, 25689, 258, 627, 9241, 311, 3780, 198, 6806, 2563, 3121, 336, 93285, 11, 60771, 11940, 11, 18531, 26, 220, 5154, 12, 20800, 12, 22422, 18, 26, 8604, 10621, 3121, 336 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25109, 198, 6806, 28237, 24076, 93285, 11, 2522, 680, 14070, 11, 2794, 26, 220, 17735, 12, 19642, 12, 23619, 19, 26, 8604, 1190, 2303, 66, 10957, 916, 128001, 128000, 3947, 574, 264, 10015, 8369, 13141, 2212, 220, 24, 6250, 11, 389, 902, 2457, 279, 8592, 6250, 9499, 369, 4848, 1667, 574, 12715, 11, 719, 1790, 315, 279, 2800, 315, 279, 2305, 574, 7155, 13, 763, 2144, 433, 574, 279, 74534, 6250, 2533, 220, 2550, 18, 11, 323, 8987, 11422, 2391, 279, 4948, 2046, 9057, 61272, 13, 1115, 574, 279, 1121, 315, 264, 5655, 323, 6435, 86572, 3428, 7410, 1887, 24944, 6293, 1245, 11422, 1990, 220, 1419, 323, 220, 914, 6250, 13, 32499, 311, 430, 433, 574, 9235, 304, 6460, 7568, 24235, 323, 10007, 40607, 9635, 627, 791, 3152, 7340, 9499, 304, 6250, 41829, 505, 220, 508, 13, 17, 34, 520, 800, 7957, 596, 5657, 11, 7295, 11, 311, 220, 717, 34, 520, 80940, 21878, 11, 1443, 295, 1974, 13, 578, 10913, 9635, 38122, 320, 34, 1372, 8, 574, 220, 1032, 13, 16, 34, 11, 902, 374, 220, 16, 8547, 3770, 5578, 13, 6187, 1712, 20472, 1051, 1990, 220, 15, 13, 17, 12628, 3485, 5578, 304, 6460, 7568, 24235, 323, 220, 16, 13, 18, 12628, 3770, 304, 19001, 19627, 13, 578, 8592, 12715, 9499, 574, 220, 1682, 13, 18, 34, 520, 2225, 468, 1018, 11489, 304, 64158, 323, 24562, 389, 279, 13658, 315, 220, 24, 6250, 13, 578, 1400, 5086, 3814, 574, 430, 315, 220, 1313, 14, 1419, 6250, 11, 994, 26531, 336, 277, 11, 37674, 451, 729, 35548, 11, 12715, 264, 8187, 9499, 315, 482, 19, 13, 16, 34, 627, 93031, 9635, 323, 23782, 1070, 574, 220, 2495, 3906, 315, 11422, 11, 902, 374, 220, 4278, 4, 315, 279, 5578, 13, 19627, 1047, 220, 5932, 3906, 11, 7041, 389, 279, 5578, 11, 1418, 17355, 14990, 1047, 220, 3264, 3906, 11, 477, 220, 4513, 4, 315, 5578, 13, 24191, 315, 430, 11422, 3782, 505, 279, 6435, 86572, 13766, 2391, 279, 1566, 2046, 315, 6250, 13, 3216, 311, 220, 1313, 6250, 433, 574, 12309, 9235, 11, 719, 279, 2768, 2380, 2919, 1047, 24716, 8987, 53958, 902, 6197, 311, 5199, 61272, 13, 12220, 430, 4261, 220, 9263, 3906, 315, 11422, 11299, 389, 48580, 20069, 11, 4892, 51327, 13, 578, 14739, 1985, 3813, 1555, 279, 2305, 574, 2493, 10602, 648, 17382, 11, 4410, 261, 21116, 11, 902, 17303, 220, 15257, 3906, 315, 11422, 11, 1418, 31676, 466, 22152, 304, 31997, 574, 279, 50511, 478, 449, 220, 1187, 3906, 627, 67308, 323, 23782, 1047, 459, 5578, 220, 11123, 4207, 315, 52495, 11, 902, 374, 220, 8027, 4, 315, 279, 3152, 13, 8442, 220, 806, 5488, 7207, 617, 1027, 7160, 90083, 304, 279, 1566, 220, 1041, 1667, 13, 19627, 1047, 220, 6804, 4207, 11, 477, 220, 5037, 4, 315, 1202, 5578, 11, 323, 17355, 14990, 12715, 220, 10125, 4207, 11, 902, 374, 220, 8190, 4, 315, 279, 5578, 13, 2418, 7876, 304, 18206, 574, 279, 7160, 85880, 3813, 449, 220, 5162, 4207, 315, 52495, 11, 1418, 31991, 385, 331, 88823, 11, 4410, 261, 21116, 11, 1047, 279, 15821, 52495, 2860, 449, 1193, 220, 5538, 4207, 13, 128001, 128000, 32, 10657, 38182, 369, 4718, 17829, 41576, 198, 39787, 499, 1390, 2500, 8547, 30, 16877, 279, 6469, 13, 9176, 13312, 552, 10491, 311, 23564, 19560, 12628, 439, 264, 1648, 311, 12178, 872, 31133, 11, 52122, 459, 3158, 315, 19248, 477, 3480, 94436, 627, 55519, 4227, 11, 19560, 2068, 11709, 1051, 7347, 11, 449, 1690, 4236, 19301, 1990, 459, 54554, 323, 264, 7491, 596, 8547, 304, 6500, 8198, 11, 11911, 389, 3508, 814, 4934, 311, 6056, 264, 6373, 2683, 477, 10519, 264, 11156, 7076, 3839, 13, 6104, 1884, 11709, 527, 2103, 5526, 11, 279, 24525, 369, 33459, 6873, 7953, 264, 49683, 596, 8547, 617, 17626, 439, 7032, 369, 13312, 15749, 617, 3719, 810, 28830, 323, 64486, 29321, 627, 2028, 3445, 1847, 55946, 527, 34118, 16627, 5557, 12628, 311, 33164, 872, 3217, 1139, 264, 502, 5064, 11, 4729, 8882, 527, 34118, 13642, 2170, 311, 1501, 1022, 872, 6373, 1645, 28999, 323, 4009, 25175, 527, 21630, 57613, 311, 1304, 264, 35557, 3480, 304, 264, 11156, 36974, 13, 2100, 13312, 552, 1205, 311, 1212, 7422, 922, 459, 11084, 8547, 555, 29373, 1555, 279, 2671, 627, 791, 10846, 15948, 65, 1065, 198, 12, 17863, 10170, 25, 44825, 7620, 304, 6500, 8198, 3085, 264, 3495, 88092, 4676, 369, 4236, 311, 23564, 94436, 1778, 439, 3823, 11733, 11533, 16628, 323, 2038, 29130, 13, 362, 7491, 596, 1253, 387, 2631, 369, 1948, 78611, 10093, 520, 6522, 13312, 5220, 11, 1418, 264, 30661, 374, 6118, 2631, 369, 67671, 13, 44825, 7620, 304, 6500, 8198, 527, 3967, 369, 1694, 17436, 323, 47999, 26, 264, 49683, 596, 8547, 304, 6500, 8198, 374, 11383, 2631, 627, 12, 46945, 12053, 25, 11060, 596, 12628, 304, 16627, 5557, 3085, 4236, 279, 6140, 311, 8895, 19248, 304, 279, 1005, 323, 32887, 41582, 315, 5557, 311, 1862, 6975, 198, 12, 45034, 323, 17863, 17005, 25, 20783, 11125, 264, 7491, 596, 304, 20314, 323, 6500, 15009, 82845, 1139, 5789, 1778, 439, 5347, 1965, 1076, 1105, 11, 8450, 8863, 11, 8162, 82848, 323, 7528, 1887, 2955, 13, 20783, 690, 11383, 1205, 459, 41534, 8547, 304, 279, 2115, 627, 12, 8245, 15264, 25, 44825, 7620, 304, 2038, 6067, 320, 269, 7170, 2038, 6067, 6373, 477, 2038, 5557, 8, 47032, 279, 1005, 315, 8871, 311, 22118, 2626, 5435, 449, 75533, 389, 13650, 1778, 439, 384, 42685, 11, 2038, 4868, 323, 6677, 6373, 627, 12, 11896, 10170, 323, 8245, 19241, 25, 18056, 3117, 505, 264, 8776, 5557, 8547, 11, 13312, 552, 527, 15098, 15107, 311, 7978, 16239, 2038, 18112, 11, 6677, 6373, 323, 2262, 6373, 627, 12, 54554, 320, 18532, 315, 8184, 17128, 1680, 578, 54554, 6835, 13312, 552, 279, 6140, 311, 2274, 872, 2626, 7512, 449, 75533, 304, 5789, 1778, 439, 75505, 11, 17452, 11, 8661, 323, 41295, 7865, 13, 3161, 5220, 15098, 8173, 304, 1664, 65318, 13312, 552, 449, 2626, 1645, 28999, 11, 279, 8547, 374, 3629, 264, 1948, 5873, 4315, 13312, 552, 11125, 311, 3351, 7953, 32227, 11156, 13073, 627, 791, 1561, 12542, 198, 12, 7146, 78, 5364, 7209, 25, 578, 89999, 5364, 7209, 33511, 8776, 54554, 75533, 449, 7978, 389 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 279, 18052, 315, 8871, 304, 279, 13166, 1917, 13, 7146, 78, 5364, 7209, 4236, 3629, 1935, 14307, 14892, 449, 2038, 6067, 11, 8871, 2955, 323, 18112, 323, 62866, 627, 12, 17863, 21415, 11, 20914, 323, 83322, 25, 4314, 14713, 48448, 19560, 7620, 11383, 5357, 389, 279, 7512, 323, 19248, 2631, 311, 990, 304, 5789, 1778, 439, 4632, 11, 6007, 323, 5000, 5788, 13, 578, 7620, 1253, 387, 9076, 304, 2204, 5110, 26, 1063, 1253, 387, 961, 315, 264, 19560, 2978, 315, 19071, 323, 36788, 11, 3885, 2643, 387, 304, 7060, 19071, 7620, 477, 4632, 8853, 627, 12, 13875, 44410, 25, 21844, 12628, 304, 62866, 3085, 4236, 279, 6140, 311, 13488, 5789, 77847, 3252, 279, 2626, 323, 23331, 77563, 555, 21630, 3772, 4947, 11, 21401, 14488, 11, 323, 17320, 6067, 323, 872, 4500, 627, 23956, 2209, 7252, 369, 1472, 5380, 10438, 499, 10491, 389, 264, 2068, 11, 2980, 701, 9021, 13, 17829, 552, 11125, 2500, 8547, 527, 3629, 27762, 555, 56028, 872, 37532, 11, 39825, 311, 3810, 6373, 11, 11469, 459, 3158, 315, 11156, 19248, 323, 5255, 28865, 505, 832, 36974, 311, 2500, 627, 12805, 499, 1440, 1148, 499, 1390, 311, 11322, 11, 499, 690, 617, 459, 8831, 892, 30230, 1148, 3460, 315, 2068, 374, 369, 499, 13, 27140, 41534, 7620, 11, 19560, 7620, 1541, 956, 6118, 3041, 499, 1790, 892, 11, 422, 904, 11, 311, 76067, 505, 832, 2802, 311, 2500, 13, 1472, 690, 4461, 636, 279, 1455, 704, 315, 279, 2068, 422, 499, 3810, 433, 449, 264, 2867, 5647, 315, 1148, 499, 1390, 505, 701, 7978, 1198, 323, 505, 701, 7076, 1306, 39554, 13, 128001, 128000, 33274, 12369, 350, 1142, 311, 20717, 41453, 11, 469, 14088, 9355, 323, 18276, 85001, 304, 23338, 198, 22053, 34212, 11, 4448, 13, 220, 975, 320, 14884, 10369, 5513, 8, 1198, 23338, 889, 8343, 5043, 3691, 2380, 477, 810, 3115, 264, 2046, 527, 4461, 311, 617, 810, 15748, 57596, 25481, 11, 264, 3544, 502, 6625, 4007, 13533, 627, 9673, 2997, 96271, 315, 51643, 11, 12208, 89, 9355, 323, 18137, 34653, 320, 41196, 2381, 285, 570, 1628, 8051, 279, 4007, 3250, 956, 12391, 430, 1884, 63452, 11, 16553, 43402, 323, 53031, 5353, 1521, 5435, 11, 279, 6029, 315, 459, 15360, 374, 29722, 11, 12074, 2019, 627, 10227, 4007, 11621, 311, 264, 7982, 2547, 315, 6029, 315, 279, 3284, 84496, 315, 5043, 15657, 1359, 1071, 4007, 1080, 43802, 10320, 90563, 13926, 11, 264, 14561, 315, 2761, 76, 4428, 12, 752, 307, 22530, 2508, 520, 279, 3907, 315, 67659, 11, 304, 9635, 627, 1, 25729, 279, 6029, 584, 617, 1766, 374, 3831, 3403, 311, 7079, 264, 14278, 315, 5043, 3691, 23730, 369, 1884, 449, 58742, 374, 264, 5030, 315, 11249, 1359, 568, 3779, 627, 9673, 9455, 527, 3062, 11, 13926, 1071, 11, 1606, 420, 374, 279, 7928, 4007, 311, 2457, 389, 58742, 304, 3995, 1274, 4028, 279, 1917, 323, 279, 14955, 527, 49723, 13263, 31550, 369, 2225, 13305, 323, 7724, 323, 15851, 315, 3070, 8070, 627, 27806, 837, 11, 279, 14955, 617, 2466, 586, 2890, 25127, 2728, 430, 1521, 57596, 24673, 5101, 311, 387, 389, 279, 5376, 323, 1606, 5043, 3691, 374, 779, 5526, 1359, 568, 1071, 627, 11458, 11, 13926, 85432, 430, 5043, 3691, 2643, 539, 387, 14718, 1521, 5435, 13, 330, 2181, 1436, 387, 4245, 311, 1023, 9547, 10815, 311, 7865, 430, 584, 617, 539, 17303, 11, 477, 433, 1436, 387, 4245, 311, 50183, 430, 12446, 304, 7978, 430, 6767, 8624, 323, 2610, 922, 3766, 3691, 23730, 1359, 568, 1071, 627, 644, 5369, 11, 420, 15360, 1990, 5043, 15657, 323, 15748, 58742, 1587, 539, 14647, 3152, 430, 12459, 2753, 5043, 3691, 690, 8108, 279, 31020, 315, 8624, 315, 51643, 11, 18137, 34653, 477, 12208, 89, 9355, 320, 276, 433, 59064, 6930, 19823, 705, 13926, 1071, 627, 791, 1934, 574, 4756, 304, 279, 4448, 13, 220, 975, 2930, 4360, 315, 29550, 710, 627, 62939, 323, 18105, 14890, 828, 389, 810, 1109, 220, 16874, 11, 931, 27294, 20330, 220, 1032, 323, 220, 975, 505, 220, 3971, 5961, 323, 810, 1109, 220, 10562, 11, 931, 6980, 20330, 220, 21, 323, 220, 22, 505, 220, 2148, 5961, 13, 2052, 315, 279, 2911, 1051, 961, 315, 264, 3254, 4007, 389, 1716, 51643, 323, 58742, 627, 70533, 323, 872, 6699, 1051, 4691, 922, 3508, 814, 16654, 505, 51643, 477, 1629, 3919, 477, 19857, 19689, 3235, 449, 433, 59064, 323, 30125, 727, 6548, 323, 12208, 89, 9355, 13, 52878, 1101, 7633, 304, 7872, 1148, 814, 30912, 2391, 279, 2046, 627, 33274, 3691, 574, 10815, 311, 1884, 4787, 304, 2225, 9191, 323, 14992, 2911, 627, 43066, 287, 2380, 477, 810, 17496, 5043, 3691, 21644, 574, 5938, 449, 264, 220, 2137, 3346, 7319, 5326, 315, 15748, 51643, 4315, 27294, 1628, 2380, 1778, 21644, 369, 14992, 2911, 574, 5938, 449, 264, 220, 1544, 3346, 7319, 5326, 315, 15748, 51643, 11, 439, 1664, 5190, 5326, 315, 22408, 2381, 285, 323, 12208, 89, 9355, 627, 37, 21702, 11, 4869, 11, 9922, 311, 8108, 279, 39775, 323, 31020, 315, 1521, 4787, 369, 682, 279, 2911, 11, 323, 369, 39775, 323, 31020, 315, 15240, 68, 3059, 323, 22408, 2381, 285, 4315, 279, 27294, 627, 11439, 311, 13926, 11, 2380, 477, 810, 17496, 79049, 315, 14098, 11293, 279, 31020, 315, 13803, 220, 806, 3346, 4315, 279, 27294, 323, 220, 975, 3346, 4315, 279, 2911, 627, 4599, 7111, 520, 15499, 11, 279, 828, 4315, 2911, 574, 539, 439, 40661, 439, 4315, 27294, 13, 4452, 11, 5043, 3691, 21644, 1051, 2103, 5938, 449, 13803, 3734, 369, 1510, 12208, 89, 9355, 11, 323, 304, 66281, 5961, 11, 3734, 369, 1510, 323, 15748, 51643, 627, 78299, 1113, 5043, 3691, 374, 539, 9498, 369, 264, 49068, 315, 8125, 1359, 1071, 63908, 93893, 11, 459, 10368, 4571, 72, 16549, 323, 14830, 26677, 31384, 520, 279, 5955, 369, 26211, 10852, 520, 41496, 15429, 304, 46873, 11, 18714, 627, 2181, 596, 44081, 369, 1694, 1579, 304, 39695, 11, 50585, 8834, 11, 1380, 50127, 323, 38291, 323, 15590, 62345, 11, 323, 3428, 304, 7718, 9498, 37493, 1778, 439, 46192, 11, 34072, 11, 9498, 7120, 35467, 50127, 323, 24722, 11, 1364, 1071, 627, 7189, 4250, 13085, 904, 2748, 1053, 5268, 279, 19679, 315, 5043, 3691, 927, 872, 1716, 596, 2890, 422, 814, 7373, 16365, 1268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 60393, 466, 1245, 264, 10173, 315, 5043, 323, 30774, 3691, 374, 311, 2911, 1359, 93893, 3779, 627, 97213, 32246, 1093, 46192, 11, 34072, 11, 81115, 323, 9498, 50127, 527, 7718, 4311, 304, 4459, 9534, 40368, 13, 23338, 12459, 5043, 3691, 15870, 527, 3917, 539, 1193, 311, 279, 8624, 66271, 11780, 323, 47288, 6372, 315, 1380, 323, 50585, 50127, 11, 13937, 39695, 323, 38291, 62345, 719, 1101, 4461, 311, 7831, 505, 72946, 315, 7718, 2890, 66271, 11780, 32246, 11, 93893, 1071, 627, 22244, 649, 3063, 311, 21249, 19338, 1778, 439, 41713, 8624, 11, 20335, 11, 33048, 11, 7865, 5435, 11, 323, 439, 420, 4007, 13533, 11, 11000, 51643, 11, 12208, 89, 9355, 323, 9439, 82, 1359, 1364, 1071, 627, 36, 1113, 520, 2162, 810, 3629, 539, 1193, 27024, 3300, 719, 1101, 13912, 8689, 39345, 11, 93893, 1071, 627, 57741, 3187, 11, 499, 649, 1304, 9498, 5043, 64567, 26863, 304, 701, 1866, 9979, 11, 1778, 439, 3776, 21059, 48438, 22235, 63452, 389, 4459, 2695, 20559, 293, 11099, 449, 42120, 323, 68346, 11, 96234, 35267, 449, 3428, 64354, 14403, 323, 33213, 5707, 477, 54662, 10437, 39834, 53031, 1359, 1364, 12090, 627, 2520, 810, 922, 9498, 12459, 369, 2911, 11, 4034, 279, 63268, 2530, 5114, 627, 50, 49548, 25, 10320, 90563, 13926, 11, 2405, 920, 2637, 14561, 315, 2761, 76, 4428, 12, 752, 307, 22530, 2508, 11, 3907, 315, 67659, 11, 549, 11606, 16016, 63908, 93893, 11, 386, 815, 2637, 432, 920, 2637, 10368, 4571, 72, 16549, 323, 14830, 26677, 31384, 11, 5955, 369, 26211, 10852, 11, 41496, 15429, 11, 46873, 11, 18714, 16016, 4448, 13, 220, 975, 11, 220, 679, 18, 11, 29550, 710, 11, 2930, 128001, 128000, 3701, 1539, 5608, 3097, 11, 5887, 220, 777, 320, 14884, 10369, 5513, 8, 1198, 1472, 1253, 1781, 315, 701, 15553, 439, 1193, 1694, 3062, 311, 701, 4325, 323, 279, 3284, 9546, 315, 52305, 11, 7563, 323, 19692, 11, 719, 264, 502, 4007, 13533, 264, 2723, 1990, 701, 2305, 315, 7342, 323, 58219, 627, 60210, 1766, 430, 1884, 889, 1051, 9405, 1990, 6250, 323, 6841, 505, 279, 1667, 220, 9367, 15, 311, 220, 9378, 20, 1051, 810, 4461, 311, 5662, 279, 220, 1041, 4771, 1906, 1109, 872, 37783, 889, 1051, 9405, 304, 5587, 13, 578, 4007, 1587, 539, 12391, 264, 5353, 9976, 23937, 2723, 11, 1120, 459, 15360, 627, 791, 7438, 315, 279, 14955, 374, 25420, 11, 323, 264, 32185, 889, 7978, 61961, 2663, 1124, 10213, 40815, 311, 6617, 3115, 627, 4071, 11, 21605, 307, 480, 402, 31660, 869, 11, 505, 279, 5955, 389, 77188, 520, 279, 3907, 315, 10780, 11, 889, 6267, 279, 4007, 449, 813, 7555, 11, 42701, 689, 480, 402, 31660, 12949, 11, 1071, 279, 14955, 1486, 311, 279, 12939, 315, 279, 4676, 304, 902, 264, 1716, 374, 50178, 323, 3010, 28815, 627, 10944, 4510, 430, 31526, 904, 4754, 8336, 315, 5674, 311, 11469, 76688, 323, 1716, 1253, 617, 5199, 6372, 389, 2890, 304, 3010, 2324, 323, 58219, 1359, 480, 402, 31660, 869, 1071, 13, 330, 3736, 5812, 5496, 4787, 1253, 617, 1317, 65265, 16296, 369, 2890, 304, 3010, 2324, 323, 58219, 10246, 791, 12074, 7111, 520, 220, 16, 11, 23402, 2960, 268, 30627, 1198, 1274, 889, 8813, 279, 4325, 315, 220, 1041, 1198, 304, 279, 3723, 4273, 13, 2435, 1766, 430, 1884, 1274, 9405, 1990, 6250, 323, 6841, 1047, 922, 264, 220, 1272, 3346, 5190, 6140, 315, 5496, 311, 220, 1041, 1109, 1884, 9405, 304, 5587, 627, 2173, 3388, 11, 279, 17393, 430, 1274, 9405, 304, 220, 9367, 24, 12, 9378, 20, 1053, 1524, 5662, 279, 9478, 1906, 574, 1633, 3428, 311, 3240, 449, 13, 5046, 1884, 9405, 304, 220, 7028, 15, 889, 1051, 2103, 13989, 520, 220, 1135, 11, 1120, 264, 4948, 315, 220, 16, 3346, 315, 3026, 1903, 433, 311, 220, 1041, 11, 323, 1120, 33394, 315, 220, 17, 3346, 315, 3278, 27332, 279, 12627, 11, 480, 402, 31660, 869, 1071, 627, 10445, 2643, 2305, 315, 7342, 1198, 477, 2305, 315, 43656, 1198, 7958, 1268, 1317, 4423, 6439, 30, 3861, 13336, 374, 430, 36899, 19338, 6476, 264, 3560, 11, 480, 402, 31660, 869, 1071, 627, 50, 13, 19455, 12225, 939, 598, 8050, 11, 264, 14561, 315, 586, 2890, 520, 279, 3907, 315, 19174, 520, 10780, 889, 596, 11537, 449, 279, 14955, 11, 1071, 279, 4007, 374, 539, 502, 2332, 34594, 13, 330, 791, 3135, 527, 4762, 2764, 11, 719, 14090, 40815, 304, 1057, 6617, 1917, 2533, 814, 3881, 311, 7342, 4038, 505, 810, 1109, 264, 9478, 4227, 10246, 63717, 315, 279, 2305, 4423, 574, 9405, 477, 50178, 11, 279, 21448, 527, 30453, 430, 499, 3358, 3974, 311, 387, 220, 1041, 13, 330, 2028, 22199, 706, 1027, 16448, 1555, 279, 220, 508, 339, 9478, 11, 719, 539, 29057, 1359, 12225, 939, 598, 8050, 1071, 627, 1688, 1888, 11, 568, 1071, 11, 330, 576, 3495, 2643, 3085, 264, 7276, 323, 9193, 2678, 16540, 369, 264, 2678, 19983, 315, 3249, 1063, 1274, 50178, 323, 9405, 810, 1109, 264, 9478, 4227, 12439, 369, 220, 1041, 1667, 10246, 3923, 1587, 682, 420, 3152, 369, 701, 17393, 315, 5496, 311, 220, 1041, 422, 499, 1051, 9405, 2212, 279, 4498, 477, 1198, 8530, 2753, 91145, 1198, 304, 5587, 30, 7839, 3488, 1198, 323, 832, 430, 2834, 956, 387, 19089, 3156, 1274, 2212, 701, 4325, 1212, 20129, 279, 9478, 1906, 627, 791, 4007, 9922, 304, 279, 10139, 315, 77188, 8483, 627, 2520, 810, 922, 9498, 30084, 11, 1456, 279, 549, 815, 13, 5165, 11896, 315, 19152, 627, 50, 49548, 25, 21605, 307, 480, 402, 31660, 869, 11, 2405, 920, 2637, 3495, 22712, 11, 5955, 389, 77188, 11, 3907, 315, 10780, 26, 328, 13, 19455, 12225, 939, 598, 8050, 11, 2405, 920, 2637, 14561, 11, 586, 2890, 11, 3907, 315, 19174, 520, 10780, 26, 220, 679, 16, 10139, 315, 77188, 8483, 198, 13857, 7388, 220, 679, 18, 198, 14884, 10369, 13, 2052, 3268, 4694, 627, 14884, 10369, 14710, 9908, 527, 14592, 505, 198, 959, 1245, 8336, 323, 656, 539, 8881, 6918, 4947, 13, 2890, 34439, 14489, 198, 28156, 539, 19507, 18463, 11, 3956, 11, 477, 3600, 430, 198, 18864, 5101, 304, 3754, 7493, 13, 1789, 810, 2038, 389, 198, 12393, 13650, 304, 279, 3754, 11, 4034, 198, 14884, 5513, 389, 2890, 34439, 14489, 13 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128001, 128000, 74407, 20994, 23262, 592, 290, 38527, 60719, 198, 10156, 7556, 922, 7432, 649, 387, 31715, 13, 10541, 279, 3878, 1511, 304, 420, 4652, 527, 4613, 304, 279, 28325, 320, 4151, 1054, 21902, 1083, 2508, 56955, 7432, 649, 387, 25114, 11, 323, 779, 358, 1390, 311, 47032, 279, 6913, 2038, 13, 3475, 7241, 649, 3493, 2294, 2038, 11, 719, 1193, 422, 279, 5793, 31869, 1148, 430, 2038, 3445, 627, 5451, 11, 433, 374, 3062, 311, 3619, 279, 6811, 1990, 35288, 12782, 1647, 55189, 320, 8445, 8, 323, 7432, 3805, 1949, 477, 7432, 8440, 320, 19171, 3967, 439, 7432, 2073, 321, 2844, 323, 2073, 321, 2844, 7432, 705, 902, 374, 264, 907, 16997, 3060, 20684, 477, 555, 279, 59333, 55760, 13, 93279, 7432, 374, 279, 7432, 430, 374, 304, 279, 3805, 430, 75772, 37397, 13, 93279, 7432, 1288, 387, 17303, 323, 41223, 2391, 279, 4553, 4857, 6492, 304, 2015, 311, 6144, 279, 2890, 323, 7296, 315, 279, 75772, 323, 279, 31499, 13, 7432, 8440, 374, 279, 7432, 430, 374, 3118, 2391, 279, 33243, 20252, 315, 279, 10633, 304, 264, 59333, 56454, 13, 7432, 8440, 4131, 505, 279, 59333, 1920, 323, 374, 8965, 17303, 1603, 279, 17960, 45612, 617, 264, 6140, 311, 16343, 449, 19371, 1516, 3805, 11784, 1139, 279, 10594, 555, 264, 10165, 37441, 466, 627, 2520, 1455, 2162, 41300, 320, 16564, 426, 1932, 705, 279, 22477, 315, 279, 55760, 2011, 387, 22306, 1139, 279, 24494, 56454, 17960, 3805, 11, 1603, 477, 42830, 315, 279, 10165, 37441, 466, 11, 779, 430, 279, 7432, 690, 539, 617, 11093, 449, 19371, 1516, 3805, 13, 1115, 690, 3493, 1148, 426, 1932, 19170, 439, 459, 2073, 321, 2844, 6205, 13, 578, 7432, 8440, 907, 389, 279, 59333, 55760, 1288, 387, 1511, 13, 2893, 3738, 311, 5774, 279, 22477, 304, 279, 4495, 3813, 304, 279, 59333, 56454, 13, 7648, 315, 279, 2027, 56294, 7664, 1268, 311, 22829, 420, 627, 14364, 6129, 4360, 430, 584, 1288, 2686, 374, 279, 2515, 315, 47503, 19488, 3422, 320, 18375, 6751, 5782, 323, 5782, 17, 8, 389, 279, 7432, 8440, 5403, 13, 578, 25396, 32056, 26148, 430, 527, 1511, 304, 1521, 7766, 527, 17550, 369, 7432, 11, 719, 814, 649, 14085, 449, 1023, 45612, 11, 1778, 439, 47503, 19488, 3422, 13, 1115, 1253, 7068, 459, 64338, 2612, 11, 7231, 459, 32389, 5403, 315, 7432, 13, 578, 3475, 78, 220, 13817, 12, 16, 7633, 3770, 706, 264, 47503, 51180, 4141, 5918, 1139, 433, 13, 42258, 277, 613, 70074, 7999, 47503, 51180, 4141, 477, 5782, 87, 46001, 655, 311, 279, 1988, 11, 323, 832, 649, 387, 3779, 311, 279, 31088, 40, 1988, 38600, 439, 1664, 13, 320, 10031, 1054, 7131, 1115, 520, 5492, 863, 369, 810, 389, 279, 8935, 315, 264, 5782, 87, 46001, 655, 29275, 37292, 592, 290, 8678, 60719, 1051, 8040, 369, 28725, 323, 55564, 53459, 11, 889, 1005, 279, 2038, 311, 7652, 279, 56454, 10489, 11, 323, 279, 8678, 60719, 3493, 264, 2294, 3568, 315, 2038, 2345, 3646, 315, 902, 374, 539, 2631, 555, 426, 1932, 11, 13472, 15734, 11, 477, 1455, 9282, 2065, 32885, 13, 1115, 4652, 24400, 15871, 389, 279, 7432, 8440, 19179, 17357, 315, 1521, 8678, 60719, 13, 1442, 499, 3207, 539, 264, 16572, 28725, 477, 55564, 54611, 11, 499, 1288, 539, 387, 43468, 279, 5178, 315, 279, 56454, 477, 12579, 2038, 3235, 311, 279, 67798, 430, 499, 1541, 1431, 7373, 3619, 13, 2175, 279, 5995, 7432, 8440, 907, 323, 3351, 389, 11, 323, 422, 499, 617, 40017, 11, 3335, 279, 7432, 11, 7432, 8440, 11, 323, 24463, 2819, 627, 32, 59333, 55760, 11105, 264, 6129, 9341, 2225, 304, 3300, 323, 304, 279, 892, 433, 5097, 311, 4048, 1268, 311, 1005, 433, 13, 1472, 649, 636, 264, 7432, 6205, 449, 264, 6913, 3756, 1093, 279, 42258, 277, 613, 3206, 5241, 269, 14767, 11, 902, 7194, 400, 19633, 26, 323, 499, 649, 1101, 636, 264, 7432, 6205, 449, 264, 59333, 55760, 505, 35741, 38527, 35758, 430, 7194, 400, 20, 11, 14374, 320, 64, 2027, 539, 7633, 1618, 570, 13538, 499, 2793, 304, 904, 315, 1521, 7766, 11, 499, 1205, 311, 1781, 922, 1148, 2038, 499, 1205, 1457, 11, 323, 1148, 2038, 499, 2643, 1205, 304, 279, 3938, 627, 4054, 1023, 3645, 5296, 25, 358, 617, 1511, 682, 8582, 1162, 12197, 369, 2585, 22654, 1093, 6328, 17991, 1785, 477, 18001, 311, 54263, 2585, 5144, 505, 279, 4652, 1495, 13, 358, 617, 1511, 433, 278, 1233, 369, 4264, 4751, 22654, 1093, 436, 55218, 1630, 4436, 55, 477, 28295, 627, 7, 2675, 649, 1505, 264, 12399, 315, 2038, 922, 1855, 3756, 358, 22690, 304, 6771, 220, 16, 29275, 33, 613, 277, 613, 3206, 5241, 269, 14767, 198, 791, 3206, 5241, 269, 14767, 374, 264, 4382, 3756, 369, 30090, 7432, 13, 1102, 1587, 539, 3493, 2038, 389, 5729, 9499, 11, 7432, 17, 11, 15374, 11, 477, 1690, 315, 279, 1023, 40174, 430, 527, 5505, 311, 264, 59333, 56454, 13023, 54611, 11, 719, 527, 539, 5995, 369, 279, 8857, 315, 2162, 15813, 53459, 13, 19173, 433, 1587, 539, 3493, 459, 24463, 5403, 11, 779, 433, 4250, 387, 1511, 311, 11294, 264, 7432, 8440, 907, 627, 791, 3206, 5241, 269, 14767, 374, 4382, 311, 743, 709, 13, 19796, 3116, 29334, 27360, 11, 4667, 279, 1344, 361, 6962, 38600, 11, 1817, 279, 3090, 23709, 323, 4141, 14956, 369, 83661, 11, 323, 2543, 279, 55760, 389, 320, 258, 7878, 3805, 570, 1442, 279, 55760, 374, 743, 311, 14881, 18811, 11, 433, 5097, 220, 605, 6622, 311, 8369, 709, 320, 1399, 6622, 422, 433, 753, 743, 311, 9156, 18811, 570, 3277, 279, 5089, 374, 6656, 389, 11, 279, 3113, 4264, 690, 1176, 1373, 279, 3241, 24493, 2237, 439, 436, 55218, 1630, 4436, 55, 11, 902, 374, 1243, 12860, 555, 264, 49128, 11, 902, 374, 5616, 12860, 555, 279, 7432, 4264, 5403, 304, 64697, 627, 791, 220, 111968, 320, 2378, 8, 323, 220, 135, 229, 320, 4554, 8, 12706, 527, 1193, 1511, 311, 1652, 44192, 279, 55760, 13, 578, 18001, 3215, 94477, 279, 3113, 323, 18417, 279, 14155, 13, 578, 54005, 3215, 17460, 82, 7649, 1306, 279, 18001, 3215, 706, 1027, 17770, 13, 578, 53303, 3215, 11835, 279, 95422, 11, 323, 279, 358, 17991, 3215, 10800, 279, 55760, 389, 323, 1022, 13 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 578, 3206, 5241, 269, 14767, 690, 2543, 5196, 1022, 1306, 220, 508, 4520, 315, 13939, 304, 7323, 7389, 279, 16914, 2237, 315, 7432, 374, 3485, 220, 1135, 64697, 13, 578, 95422, 9651, 10800, 1022, 1306, 220, 605, 4520, 315, 13939, 304, 7323, 627, 4599, 279, 3206, 5241, 269, 14767, 374, 1511, 369, 7649, 35288, 7432, 11, 279, 38600, 323, 22477, 14956, 649, 387, 40186, 13, 7181, 430, 422, 279, 18001, 3215, 706, 1027, 17770, 11, 1070, 374, 912, 4264, 28137, 315, 279, 3412, 3044, 11, 719, 279, 14155, 690, 387, 1022, 11, 14324, 279, 11863, 323, 3339, 279, 5089, 90845, 13, 2030, 433, 2834, 1431, 387, 4737, 40174, 627, 16397, 264, 1296, 11, 279, 55760, 1288, 387, 5762, 3485, 279, 3090, 23709, 323, 4141, 11, 10494, 279, 23709, 304, 264, 12414, 2361, 311, 30536, 1202, 27375, 13, 3061, 361, 6962, 9955, 729, 349, 374, 84903, 323, 1633, 46657, 535, 13, 1102, 1288, 7293, 304, 904, 315, 1521, 8678, 60719, 369, 439, 2875, 264, 892, 439, 3284, 627, 2181, 374, 69919, 311, 1652, 44192, 279, 3206, 5241, 269, 14767, 1475, 4848, 4038, 311, 6106, 1202, 13708, 13, 356, 4010, 32551, 315, 7432, 323, 264, 38711, 16530, 649, 387, 15075, 505, 42258, 277, 613, 369, 420, 7580, 11, 477, 279, 5089, 649, 387, 3288, 1203, 311, 42258, 277, 613, 13, 7181, 430, 38711, 11, 7432, 12271, 14039, 11, 323, 14155, 14039, 527, 682, 7633, 304, 7872, 304, 279, 11630, 430, 4131, 449, 279, 55760, 13, 362, 5782, 87, 46001, 655, 1436, 320, 438, 304, 856, 9647, 11, 1288, 8, 387, 3779, 311, 279, 38600, 311, 8108, 32389, 40174, 627, 2028, 374, 264, 4382, 323, 6913, 5089, 430, 649, 3493, 459, 35288, 7432, 907, 13, 17539, 291, 304, 279, 6300, 2035, 304, 279, 1344, 361, 11, 433, 690, 3493, 264, 7432, 907, 719, 433, 690, 539, 387, 264, 7432, 8440, 907, 13, 1102, 374, 539, 10728, 439, 264, 4443, 7296, 3756, 1606, 433, 706, 912, 63411, 13, 2030, 433, 1253, 387, 264, 2294, 6041, 2035, 369, 264, 70351, 33705, 1648, 311, 1935, 2225, 2631, 7432, 40174, 13, 1556, 59141, 23185, 374, 2561, 505, 42258, 277, 613, 11, 719, 279, 6913, 55760, 4131, 449, 264, 2653, 15691, 1162, 11, 38600, 11, 323, 11630, 627, 33, 613, 277, 613, 435, 88, 1269, 17829, 1399, 198, 791, 17829, 1399, 11193, 1521, 17960, 6962, 6956, 25, 507, 17, 11, 5729, 9499, 11, 35288, 9499, 11, 323, 7432, 13, 5112, 433, 5829, 430, 2038, 311, 11294, 24981, 21395, 59333, 15374, 11, 7432, 17, 11, 13937, 3805, 11, 323, 7432, 3805, 1949, 13, 1102, 374, 264, 837, 27795, 59333, 55760, 26, 433, 753, 539, 8967, 311, 387, 1511, 439, 459, 35288, 7432, 8891, 369, 4443, 7296, 13, 1666, 279, 11630, 3585, 704, 11, 1054, 576, 55760, 1587, 539, 617, 459, 80415, 17035, 11, 323, 374, 539, 10825, 311, 387, 1511, 439, 264, 7296, 3756, 49216, 791, 1988, 38600, 323, 279, 30945, 511, 85489, 4667, 311, 279, 5740, 315, 279, 55760, 13, 1952, 279, 4156, 7090, 1070, 527, 264, 1403, 8614, 3113, 323, 4848, 2585, 4585, 12706, 13, 4314, 12706, 2543, 279, 55760, 389, 323, 1022, 11, 9236, 709, 323, 1523, 1555, 279, 3113, 15670, 11, 3810, 279, 1629, 3941, 11, 15349, 279, 95422, 389, 323, 1022, 11, 323, 3412, 477, 31030, 279, 3113, 13, 320, 791, 18001, 3215, 690, 1101, 2543, 1022, 279, 14155, 29275, 2520, 16785, 7432, 8440, 6492, 11, 279, 22477, 1288, 387, 304, 7878, 3805, 994, 279, 55760, 374, 6656, 389, 11, 8994, 279, 31715, 1584, 304, 279, 11470, 430, 2795, 279, 1054, 53429, 2011, 387, 7559, 304, 279, 3158, 8649, 279, 65819, 753, 59333, 3805, 8312, 2476, 555, 902, 814, 3152, 1054, 72408, 3805, 2029, 1442, 499, 5268, 311, 743, 279, 10633, 11, 435, 16, 12882, 389, 279, 4264, 17239, 5933, 6962, 11, 435, 17, 17239, 674, 17, 5707, 11, 435, 18, 17239, 92038, 11, 323, 435, 19, 17239, 597, 6398, 1994, 627, 6153, 13353, 279, 55760, 389, 323, 10923, 433, 311, 8369, 709, 304, 7878, 3805, 11, 5774, 279, 22477, 1139, 279, 4495, 3813, 389, 279, 59333, 56454, 311, 636, 279, 7432, 8440, 5403, 13, 578, 24442, 11630, 5825, 14515, 315, 264, 8205, 315, 34802, 11, 9204, 1405, 279, 22477, 1288, 387, 22306, 389, 1855, 832, 13, 578, 3113, 4264, 690, 3113, 7432, 304, 64697, 389, 279, 1948, 1584, 323, 3346, 507, 17, 389, 279, 5740, 1584, 13, 2522, 16608, 1555, 279, 1023, 3113, 15670, 690, 3493, 5729, 9499, 11, 15374, 11, 35288, 9499, 11, 323, 7432, 3805, 1949, 627, 4599, 279, 1296, 374, 8220, 11, 422, 279, 7432, 2237, 374, 3485, 220, 1135, 64697, 11, 279, 55760, 690, 539, 2543, 1022, 13, 578, 14155, 9731, 311, 1629, 323, 279, 4264, 19207, 53188, 81, 21, 7432, 320, 8370, 5992, 3460, 315, 1093, 55200, 7432, 8, 3156, 279, 2237, 21701, 3770, 220, 1135, 64697, 13, 578, 4087, 3252, 1920, 649, 387, 31818, 291, 555, 26422, 279, 6328, 17991, 1785, 3480, 264, 2132, 892, 627, 13246, 279, 3206, 5241, 269, 14767, 11, 279, 17829, 1399, 4131, 449, 4686, 11470, 369, 1652, 10892, 1113, 323, 25935, 279, 4141, 323, 26148, 520, 279, 1203, 315, 279, 11630, 13, 362, 5782, 87, 46001, 655, 1436, 387, 3779, 311, 8108, 32389, 40174, 13, 62993, 527, 2561, 430, 2997, 279, 59141, 23185, 11, 2653, 1162, 11, 323, 264, 29219, 23506, 1054, 4722, 863, 477, 37253, 627, 7131, 1115, 520, 5492, 198, 40, 12793, 279, 31088, 40, 356, 2075, 323, 279, 3475, 78, 220, 13817, 12, 16, 389, 856, 1866, 5707, 72678, 28725, 13, 578, 8857, 315, 22323, 505, 279, 1403, 8678, 60719, 1051, 1633, 4528, 13, 578, 7432, 8440, 40174, 89075, 11, 4869, 13, 578, 3475, 78, 220, 13817, 12, 16, 17303, 220, 21, 64697, 323, 279, 31088, 40, 356, 2075, 17303, 220, 1806, 64697, 7432, 13, 3277, 358, 3779, 264, 5782, 87, 46001, 655, 311, 279, 31088, 40, 356, 2075, 38600, 11, 279, 7432, 5403, 12504, 311, 220, 20, 64697, 11, 9539, 19392, 311, 757, 279, 1205, 369, 279, 5782, 87, 46001, 655, 13, 358, 617, 11763, 1521, 7177, 304, 1023, 15316, 449, 279, 42258, 277, 613, 59333, 55760, 11, 323, 617, 1047, 4528, 3135, 627, 644, 856, 1162, 11, 14188, 315, 279, 4113, 40174 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37260, 264, 3575, 11, 719, 304, 1023, 13463, 1521, 27339, 1436, 5353, 279, 56454, 311, 387, 704, 315, 25065, 13, 2468, 220, 1627, 64697, 11, 369, 3187, 11, 279, 426, 1932, 17283, 41570, 12028, 5415, 11, 1054, 68744, 430, 279, 7432, 3575, 387, 8521, 2029, 1115, 2643, 3152, 8260, 264, 2532, 54611, 311, 2532, 264, 3575, 430, 3250, 1431, 3073, 11, 13239, 304, 459, 26225, 2853, 311, 279, 67798, 13, 578, 3428, 5217, 2853, 315, 7999, 264, 5782, 87, 46001, 655, 3727, 433, 74978, 311, 656, 779, 627, 791, 31088, 40, 356, 2075, 59333, 55760, 11193, 507, 17, 11, 7432, 11, 323, 1344, 361, 9499, 323, 5829, 430, 2038, 311, 11294, 7432, 17, 11, 24981, 21395, 59333, 15374, 11, 7432, 3805, 1949, 11, 323, 279, 3392, 315, 13937, 3805, 13, 578, 9499, 12271, 323, 279, 1344, 361, 6962, 22477, 20206, 1139, 48657, 304, 279, 5740, 315, 279, 55760, 13, 1952, 279, 3663, 315, 279, 5089, 11, 1070, 527, 264, 1403, 8614, 3113, 11, 3116, 12706, 11, 323, 264, 9551, 28960, 13, 578, 12706, 2187, 279, 5793, 311, 2543, 279, 5089, 389, 323, 1022, 11, 15349, 279, 95422, 11, 1005, 279, 10309, 23185, 11, 2543, 279, 5419, 14155, 389, 323, 1022, 11, 323, 3412, 279, 40174, 627, 791, 55760, 304, 1202, 29219, 18702, 374, 12309, 8987, 11, 323, 279, 14155, 374, 1101, 14738, 50380, 11, 719, 279, 14155, 649, 387, 9495, 1022, 449, 279, 4585, 315, 264, 3215, 11, 8051, 433, 2834, 1431, 387, 4737, 40174, 994, 279, 14155, 374, 1022, 13, 3161, 279, 14155, 1022, 11, 279, 356, 2075, 387, 7270, 23781, 311, 1095, 499, 1440, 430, 433, 374, 539, 3025, 311, 656, 1202, 2683, 13, 10541, 420, 55760, 1436, 387, 1511, 311, 1935, 35288, 7432, 40174, 2085, 1202, 38600, 11, 433, 374, 264, 2766, 1790, 311, 54510, 2212, 13, 1102, 1587, 617, 3831, 73780, 389, 279, 1203, 315, 279, 18702, 430, 2187, 433, 311, 387, 12673, 311, 279, 3185, 315, 1455, 59333, 34802, 13, 1556, 10309, 59141, 23185, 374, 2561, 627, 791, 9551, 28960, 6276, 279, 5793, 311, 1373, 904, 315, 279, 5137, 430, 279, 356, 2075, 649, 6767, 13, 763, 279, 1162, 315, 6913, 4907, 75620, 11, 279, 28960, 649, 387, 743, 311, 507, 17, 14, 8445, 323, 279, 507, 17, 323, 35288, 7432, 477, 7432, 8440, 649, 387, 9539, 1373, 13, 2100, 6900, 709, 279, 27360, 320, 269, 4685, 3116, 362, 2170, 705, 9903, 709, 279, 38600, 11, 1817, 279, 19320, 4141, 323, 279, 3090, 23709, 11, 2543, 279, 356, 2075, 389, 304, 35288, 7878, 3805, 11, 3373, 507, 17, 14, 8445, 389, 279, 28960, 11, 323, 1935, 701, 40174, 13, 2684, 527, 220, 508, 5044, 16087, 304, 279, 3241, 1405, 279, 828, 649, 387, 9967, 13, 320, 2244, 499, 649, 1120, 3350, 433, 1523, 16715, 7570, 3582, 279, 2038, 374, 539, 5995, 369, 1120, 30090, 279, 7432, 2237, 11, 433, 753, 1695, 6725, 311, 3810, 279, 955, 315, 10633, 279, 56454, 5829, 11, 779, 422, 279, 55760, 374, 1694, 1511, 369, 4686, 59333, 6492, 11, 433, 690, 387, 743, 709, 10489, 627, 16179, 279, 9499, 12271, 20206, 374, 25685, 1534, 11, 433, 649, 6847, 387, 59329, 304, 28655, 11, 902, 5825, 15234, 40174, 13, 9086, 279, 42258, 277, 613, 8316, 11, 279, 356, 2075, 1436, 387, 29441, 449, 264, 5782, 87, 46001, 655, 311, 8108, 32389, 7432, 40174, 627, 2170, 449, 904, 315, 1521, 7766, 11, 433, 753, 264, 1695, 4623, 311, 3719, 11537, 449, 682, 279, 5865, 323, 11835, 323, 1373, 279, 56294, 1603, 499, 636, 1139, 264, 1972, 7649, 6671, 13, 46327, 304, 4156, 315, 264, 93856, 28725, 323, 282, 42732, 311, 2543, 279, 95422, 389, 477, 1022, 477, 28672, 279, 5403, 304, 832, 315, 279, 5044, 16087, 649, 387, 35711, 627, 791, 3475, 78, 220, 13817, 374, 264, 16195, 59333, 55760, 449, 264, 13190, 315, 17357, 430, 2011, 387, 16365, 311, 387, 26893, 13, 1102, 690, 2187, 499, 311, 9762, 682, 279, 2038, 5995, 311, 2804, 15439, 6492, 389, 264, 59333, 1887, 13, 1102, 753, 459, 9341, 13, 1102, 649, 6767, 10165, 7410, 439, 1664, 439, 7432, 13, 1102, 649, 1101, 3493, 5729, 9499, 11, 3346, 7432, 17, 11, 3346, 15374, 11, 3346, 13937, 3805, 11, 3346, 507, 17, 11, 35288, 9499, 11, 323, 9665, 9499, 627, 791, 220, 13817, 374, 264, 6573, 34303, 20659, 3756, 449, 3831, 73780, 389, 279, 1203, 315, 279, 1162, 430, 2187, 433, 311, 387, 22563, 389, 279, 3185, 315, 1455, 59333, 34802, 13, 578, 63610, 15866, 311, 58170, 389, 279, 5740, 315, 279, 55760, 13, 32944, 449, 279, 58170, 1070, 374, 264, 9499, 12271, 31859, 22563, 304, 264, 1054, 66, 425, 2476, 323, 1070, 527, 48657, 369, 279, 1344, 361, 6962, 22477, 11, 6962, 27487, 11, 7410, 1988, 11, 323, 10807, 2410, 1988, 13, 578, 6328, 17991, 1785, 3480, 374, 389, 279, 1948, 315, 279, 11983, 11, 323, 8223, 4585, 12706, 527, 7559, 389, 279, 3663, 13, 14853, 19087, 12706, 617, 3977, 5865, 11, 449, 872, 5865, 12882, 389, 2204, 15670, 315, 279, 3113, 13, 578, 112610, 320, 2378, 8, 323, 114207, 320, 4554, 8, 12706, 9236, 279, 3113, 13, 2684, 374, 264, 3215, 311, 15349, 279, 95422, 389, 323, 1022, 11, 264, 36797, 3215, 11, 323, 459, 44374, 3215, 311, 9299, 459, 5784, 627, 2409, 279, 55760, 7373, 11684, 11, 279, 22477, 3966, 311, 387, 8599, 1603, 279, 220, 13817, 374, 30975, 389, 13, 578, 11630, 2795, 11, 1054, 8780, 8599, 22477, 2011, 387, 304, 279, 1825, 3805, 2391, 279, 7315, 287, 10474, 0, 510, 87292, 48301, 60, 863, 578, 7315, 287, 477, 1212, 5352, 1920, 5097, 220, 966, 6622, 13, 23804, 287, 279, 36797, 3215, 6276, 832, 311, 9236, 1555, 2206, 69774, 11, 28295, 11, 19139, 11, 14904, 11, 37384, 8593, 11, 323, 51088, 35254, 13, 23804, 287, 279, 6278, 19087, 3215, 1234, 10619, 994, 2206, 69774, 374, 12882, 11031, 311, 279, 1828, 5130, 2237, 11, 33162, 1555, 3061, 361, 21523, 11, 29664, 11, 7432, 6830, 404, 11180, 11, 54304, 17991, 321, 11, 3722, 550, 82, 11, 26002, 20539, 11, 323, 93279, 7432, 13, 2057, 6767, 279, 7432, 8440, 11, 3373, 3061, 361, 21523, 323, 1373, 279, 64697, 7432, 6830, 37, 1584, 13, 5810, 499, 649, 1101, 5268, 279, 955 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 315, 10633, 26, 11709, 527, 15895, 674, 17, 11, 24772, 21523, 11, 24432, 20559, 20, 11, 1322, 26393, 11, 15895, 674, 20, 11, 15895, 674, 21, 11, 735, 6398, 1994, 11, 477, 12404, 13, 1442, 499, 527, 1193, 8173, 304, 7432, 8440, 11, 499, 649, 1005, 904, 315, 1521, 40373, 11, 1606, 279, 7432, 2237, 690, 387, 279, 1890, 369, 904, 315, 1124, 13, 578, 13444, 315, 420, 374, 430, 422, 499, 527, 7649, 304, 264, 59333, 56454, 10353, 320, 5158, 57, 8, 449, 264, 6962, 3090, 43338, 323, 459, 5707, 72678, 28725, 11, 1070, 374, 912, 1205, 311, 2349, 279, 5110, 627, 2675, 649, 743, 709, 279, 3113, 4264, 389, 279, 220, 13817, 779, 430, 279, 19207, 527, 304, 279, 8668, 499, 1390, 13, 1789, 3187, 11, 358, 617, 10705, 5403, 2188, 118, 37, 350, 357, 582, 320, 7848, 9499, 8, 1176, 11, 1243, 64697, 7432, 11, 16056, 10165, 11, 64697, 7432, 6830, 37, 11, 1034, 55765, 11, 323, 1243, 264, 15860, 315, 1023, 6392, 627, 48051, 287, 264, 14595, 2162, 4907, 15813, 7612, 7649, 369, 7432, 304, 279, 35288, 3805, 323, 304, 279, 17960, 3956, 315, 59333, 627, 8445, 35288, 374, 279, 7432, 430, 374, 3118, 304, 279, 3805, 430, 374, 539, 13282, 304, 279, 59333, 7241, 13, 1102, 374, 279, 7432, 430, 279, 75772, 527, 4461, 311, 387, 27027, 627, 8445, 3805, 1949, 477, 7432, 6830, 37, 477, 7432, 8440, 374, 264, 37072, 22702, 315, 279, 3392, 315, 7432, 304, 264, 6205, 315, 3805, 449, 279, 3346, 315, 24463, 7108, 13, 1102, 374, 6273, 311, 198, 8445, 64697, 865, 12005, 508, 13, 24, 9968, 58, 508, 13, 24, 1389, 507, 17, 2608, 791, 59333, 8678, 60719, 1304, 430, 22702, 1306, 279, 5793, 5097, 264, 1054, 18883, 38635, 863, 6205, 320, 7642, 750, 4994, 570, 578, 7432, 8440, 374, 279, 907, 430, 1455, 59333, 7296, 7620, 320, 16564, 426, 1932, 8, 527, 3411, 369, 320, 39393, 449, 279, 7432, 35288, 907, 4390, 2127, 7185, 4668, 315, 279, 220, 13817, 374, 279, 10165, 19179, 1920, 13, 362, 3703, 4876, 374, 12882, 389, 279, 4264, 19392, 279, 8592, 1344, 361, 6962, 9499, 12435, 311, 279, 8592, 10165, 4478, 13, 38727, 279, 22477, 11031, 279, 1584, 389, 279, 3703, 4876, 13, 578, 7106, 8736, 304, 279, 22477, 1288, 387, 42208, 4028, 279, 6530, 311, 2187, 369, 7340, 74120, 4028, 279, 12271, 13, 2052, 315, 420, 2038, 649, 387, 17124, 704, 389, 279, 10309, 11, 59141, 8599, 23185, 627, 791, 6913, 220, 13817, 4131, 449, 279, 55760, 11, 1344, 361, 6962, 22477, 11, 323, 45669, 13, 14908, 2997, 264, 2653, 1162, 11, 16646, 23185, 11, 16603, 14155, 11, 7528, 16603, 7858, 23819, 11, 13253, 369, 7410, 40174, 11, 3805, 9499, 22477, 11, 19303, 1344, 361, 6962, 22477, 11, 323, 220, 24, 21117, 38600, 9070, 627, 791, 3475, 78, 220, 13817, 374, 13171, 315, 8405, 264, 2763, 810, 2038, 1109, 1120, 7432, 8440, 13, 578, 11470, 527, 3196, 389, 6063, 9477, 323, 1541, 1431, 2744, 9539, 15025, 1139, 6498, 11, 719, 1070, 374, 1695, 2038, 389, 279, 3566, 11, 2737, 72345, 3566, 47437, 505, 5507, 20972, 1093, 102287, 35197, 14173, 430, 11951, 4639, 1268, 311, 1005, 279, 3475, 78, 220, 13817, 627, 16856, 369, 7432, 1253, 387, 832, 315, 279, 1455, 17395, 9256, 279, 4857, 18738, 12580, 13, 578, 3116, 8678, 60719, 7633, 304, 420, 4652, 617, 1027, 8040, 311, 656, 810, 6485, 2574, 11, 1093, 59333, 6492, 323, 1887, 50518, 323, 13023, 13, 578, 3206, 5241, 269, 14767, 323, 279, 435, 88, 1269, 17829, 1399, 1436, 1101, 387, 1511, 369, 35288, 7432, 16967, 11, 719, 814, 1541, 1431, 617, 63411, 13, 578, 31088, 40, 356, 2075, 323, 279, 3475, 78, 220, 13817, 649, 1101, 6767, 10165, 11, 22822, 287, 279, 1205, 369, 264, 2132, 893, 21037, 13, 2052, 315, 1521, 7766, 990, 1664, 323, 57482, 320, 13486, 499, 923, 279, 5782, 87, 46001, 655, 311, 279, 6305, 430, 1541, 1431, 617, 1124, 570, 4702, 1304, 2771, 430, 499, 3619, 279, 2038, 814, 3493, 323, 1268, 311, 1005, 279, 7241, 1603, 499, 3207, 17011, 449, 264, 67798, 323, 264, 17395, 59333, 6671, 13, 7570, 279, 7941, 478, 7241, 649, 3493, 29948, 2038, 627, 12, 35913, 26095, 198, 12, 21626, 77577, 26095, 198, 6403, 701, 6170, 304, 279, 3830, 3770, 512, 5417, 1655, 5296, 430, 682, 6170, 527, 3917, 311, 3477, 4972, 311, 17437, 6266, 128001, 128000, 791, 42120, 10706, 304, 48668, 706, 4745, 311, 5662, 1202, 4754, 11, 304, 3878, 315, 1651, 2101, 36508, 30139, 311, 1023, 5961, 11, 304, 3878, 315, 279, 5845, 311, 14201, 8863, 11012, 11, 323, 304, 3878, 315, 18899, 279, 64751, 82, 315, 1884, 29939, 6532, 304, 42120, 5788, 323, 279, 42120, 38983, 8957, 13, 18185, 3109, 39455, 430, 2997, 279, 21967, 315, 264, 1396, 315, 42120, 8863, 35159, 11, 41613, 315, 279, 1314, 4367, 323, 12472, 369, 8518, 945, 299, 21315, 527, 539, 1694, 15042, 13, 9176, 20957, 2103, 10932, 311, 6136, 2254, 36680, 11, 11383, 449, 264, 1579, 3090, 2262, 11, 1690, 19595, 11, 8009, 1933, 11, 323, 3428, 293, 18862, 13, 11680, 10177, 894, 12659, 527, 3629, 1207, 2985, 2931, 13, 24478, 36508, 7293, 3428, 11, 11383, 1234, 5899, 20181, 824, 48101, 548, 13, 9393, 315, 5788, 3280, 2786, 11, 1579, 83217, 2968, 11, 8009, 3157, 2680, 11, 323, 10937, 505, 15557, 11, 1063, 20957, 527, 12153, 311, 4662, 872, 41613, 11, 902, 527, 2163, 311, 5868, 304, 872, 5151, 13, 14968, 1023, 20957, 304, 48668, 617, 17427, 5190, 42120, 36508, 11, 5788, 374, 34235, 11, 323, 1690, 20957, 304, 48668, 3136, 311, 5268, 311, 3139, 41613, 927, 1023, 31665, 627, 34746, 12369, 11216, 8483, 10181, 320, 2843, 58442, 8, 128001, 128000, 32561, 85084, 320, 23037, 16, 8, 1115, 743, 40019, 4382, 36018, 311, 7664, 279, 7106, 4519, 315, 220, 1272, 4892, 3778, 5021, 11, 13863, 11, 323, 3838, 6136, 11141, 13, 5629, 482, 578, 1716, 21522, 220, 24, 16312, 17910, 7563, 320, 18, 1, 865, 220, 19, 909, 8800, 220, 18, 2585, 7563, 320, 605, 12, 18, 14, 23, 863, 865, 220, 20, 42973, 33611, 430, 10765, 17910, 315, 27967, 21431, 11, 27967, 23404, 1354, 11, 323, 27967, 24079, 1354, 13, 10657, 482, 4740, 6975, 279, 220, 24, 17910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 315, 11141, 11, 433, 374, 892, 311, 7664, 279, 220, 18, 17910, 315, 1120, 832, 16312, 13, 362, 16312, 3786, 374, 4183, 505, 279, 220, 1272, 16312, 7563, 3984, 320, 18, 1, 865, 220, 19, 1865, 578, 1716, 50243, 279, 220, 18, 17910, 7563, 320, 1337, 11, 11457, 367, 11, 4850, 8, 430, 7664, 430, 16312, 11, 323, 7634, 1124, 389, 279, 10321, 27967, 59776, 3786, 320, 605, 12, 18, 14, 23, 863, 865, 220, 20, 42973, 65312, 8976, 11141, 649, 387, 1511, 304, 420, 10368, 439, 1664, 13, 25837, 2038, 374, 5343, 369, 279, 11326, 627, 2356, 4798, 320, 23037, 16, 34, 8, 1115, 743, 17610, 315, 220, 1272, 48155, 77928, 16312, 7563, 320, 1490, 7563, 2860, 570, 3861, 1912, 315, 220, 508, 7563, 46480, 11537, 11141, 1778, 439, 294, 38221, 290, 11, 3678, 343, 820, 11, 323, 17967, 88, 13, 578, 2132, 1912, 46480, 4279, 4892, 3778, 5021, 11141, 1778, 439, 38971, 11, 55480, 11, 323, 24428, 6798, 13, 4314, 527, 279, 1890, 16312, 7563, 1766, 304, 763, 12, 9171, 369, 15394, 596, 1054, 32561, 85084, 863, 5820, 627, 3968, 16345, 320, 6254, 16, 8, 1115, 743, 374, 6319, 311, 1520, 2911, 15641, 323, 311, 836, 220, 508, 4279, 19837, 11, 1690, 315, 902, 527, 54453, 2561, 6957, 279, 1060, 13, 1115, 23329, 743, 315, 6945, 7563, 649, 387, 1511, 304, 4382, 12864, 23783, 11, 477, 304, 220, 18, 29137, 12864, 7640, 422, 832, 743, 374, 4018, 10980, 13, 578, 220, 1272, 99336, 2402, 320, 18, 42973, 863, 865, 220, 19, 909, 527, 304, 2539, 8048, 323, 79533, 660, 13, 43786, 4092, 2038, 374, 5343, 369, 279, 11326, 627, 45, 6256, 320, 23037, 18, 8, 452, 6256, 527, 46798, 11218, 43402, 323, 6975, 1268, 814, 3139, 690, 1304, 12459, 1124, 682, 279, 810, 2523, 0, 1115, 743, 315, 220, 1313, 1403, 8048, 7563, 320, 20, 27154, 863, 865, 220, 18, 27154, 33611, 315, 6136, 323, 10184, 45543, 11105, 45314, 67740, 31049, 60687, 6910, 13, 578, 1716, 13840, 279, 40134, 7563, 315, 279, 31049, 304, 872, 7982, 6566, 311, 279, 7563, 315, 279, 31049, 304, 323, 704, 315, 872, 44054, 13, 7557, 279, 5820, 1524, 810, 6992, 555, 12967, 279, 1972, 31049, 1139, 279, 24978, 627, 85683, 6385, 1302, 612, 3165, 1238, 320, 23037, 20, 8, 1115, 743, 1520, 2911, 311, 4048, 922, 220, 508, 11012, 430, 3041, 603, 42393, 323, 49659, 13, 578, 61353, 2718, 15107, 11, 220, 17, 8048, 45543, 9539, 1501, 279, 5596, 315, 279, 11012, 430, 3041, 603, 67740, 11141, 11, 19595, 11, 44814, 11, 54842, 11, 54320, 11, 323, 63494, 13, 4324, 459, 82688, 323, 39953, 10368, 555, 3515, 279, 2911, 6857, 1972, 42393, 323, 49659, 449, 1521, 7563, 320, 19, 27154, 863, 865, 220, 21, 42973, 863, 4390, 2169, 1821, 1226, 45614, 320, 23037, 24, 8, 15281, 810, 922, 3691, 11012, 323, 872, 2204, 67740, 5596, 13, 1115, 743, 538, 9803, 220, 972, 6136, 15657, 1139, 4848, 5315, 25, 20282, 11, 44814, 11, 11141, 11, 19837, 11, 26390, 11, 323, 19595, 13, 362, 23329, 743, 315, 220, 972, 30929, 6945, 14, 18881, 7563, 320, 21, 1, 865, 220, 21, 909, 5039, 11012, 304, 872, 7982, 6566, 449, 1193, 872, 1054, 14239, 863, 13651, 304, 1933, 13, 3861, 743, 315, 6945, 14, 7419, 7563, 374, 42197, 6965, 1139, 220, 21, 2585, 2363, 10145, 430, 2997, 17931, 315, 279, 3789, 11, 19646, 11, 16312, 11, 23153, 11, 14098, 11, 323, 10533, 13, 578, 1023, 743, 315, 6945, 14, 7419, 7563, 527, 311, 387, 4018, 10980, 369, 220, 17, 477, 220, 18, 29137, 12864, 23783, 13, 18317, 4096, 7563, 649, 387, 1511, 369, 1054, 15546, 1097, 358, 12671, 3953, 449, 1057, 6136, 6945, 7563, 477, 449, 1972, 15657, 13, 11995, 7563, 323, 2363, 10145, 527, 79533, 660, 627, 2169, 1821, 1226, 45614, 3402, 416, 2402, 320, 23037, 24, 86, 8, 19198, 29641, 2402, 527, 4604, 84621, 1142, 311, 8356, 68625, 369, 459, 9070, 10368, 1701, 1057, 743, 50298, 1226, 45614, 320, 23037, 24, 570, 15394, 1933, 323, 2440, 279, 68625, 11, 902, 41468, 2380, 6136, 10507, 369, 1855, 315, 279, 2768, 5315, 25, 20282, 11, 44814, 11, 11141, 11, 19837, 11, 26390, 11, 323, 19595, 13, 578, 50298, 1226, 45614, 2363, 10145, 8854, 439, 11835, 13, 4740, 68625, 320, 23, 27154, 863, 865, 220, 806, 909, 527, 28296, 323, 30929, 11, 814, 649, 387, 4018, 10980, 11, 36114, 839, 3871, 11, 323, 1903, 1139, 4848, 1935, 25389, 2363, 10145, 13, 4314, 2363, 10145, 1253, 7068, 49277, 3070, 14177, 17203, 20954, 25, 1054, 32, 39834, 374, 264, 1148, 12671, 198, 2169, 1821, 482, 10699, 1097, 358, 30, 320, 26758, 8, 1115, 7314, 5820, 369, 4827, 36256, 96931, 2225, 5403, 323, 14624, 7512, 11, 323, 5825, 2911, 449, 4382, 13363, 922, 220, 605, 11012, 13, 578, 743, 17610, 315, 23329, 11, 30929, 6945, 7563, 449, 53944, 1495, 323, 4519, 11012, 2204, 505, 1884, 304, 279, 5629, 33025, 25, 18317, 30129, 320, 4151, 3770, 570, 578, 743, 315, 7563, 449, 1495, 13696, 304, 1054, 15546, 1097, 358, 12671, 374, 4018, 10980, 1139, 220, 605, 6945, 7563, 11, 220, 605, 6136, 836, 7563, 11, 323, 220, 605, 1495, 7563, 13, 578, 1023, 743, 374, 2163, 4459, 13, 27864, 527, 1511, 369, 6945, 4791, 9529, 3786, 12864, 23783, 323, 369, 5737, 279, 1054, 15546, 1097, 358, 863, 1847, 13, 27864, 6767, 220, 21, 27154, 863, 865, 220, 19, 1, 323, 527, 304, 2539, 1933, 323, 79533, 660, 627, 5451, 33025, 25, 18317, 30129, 320, 23037, 22, 8, 1115, 743, 17610, 315, 220, 777, 23329, 6136, 6945, 37371, 7563, 13, 3861, 743, 374, 4018, 10980, 369, 220, 18, 29137, 12864, 7640, 11, 323, 279, 1023, 743, 374, 9277, 304, 279, 6307, 11, 220, 21, 77029, 13726, 1481, 5863, 30929, 50298, 13, 578, 11326, 706, 279, 3072, 315, 10223, 279, 7563, 304, 279, 55114, 439, 4460, 13, 578, 2911, 649, 2489, 279, 220, 18, 29137, 7563, 320, 21, 1, 865, 220, 18, 68496, 33611, 311, 279, 7563, 304, 279, 55114, 11, 6725, 5403, 11, 4048, 922, 279, 17226, 17910, 315, 1521, 11012, 11, 323, 1243, 1514, 1054, 15546, 1097, 358, 12671, 578, 8223, 6590, 3614, 88872, 6945, 7563, 649, 387, 10839, 24923, 1403, 7563, 430, 836, 323, 7124 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3206, 511, 2469, 323, 423, 292, 2469, 13, 4314, 7640, 10772, 2911, 369, 3010, 990, 449, 1057, 18317, 15422, 21964, 612, 27864, 320, 4151, 3770, 705, 902, 46480, 279, 1890, 11012, 627, 55747, 15422, 21964, 323, 27864, 320, 23037, 21, 8, 5751, 220, 19, 8048, 12466, 5684, 9676, 323, 7563, 11105, 279, 1510, 24790, 315, 279, 6136, 26135, 320, 1962, 36762, 1618, 8, 1389, 279, 1890, 439, 374, 1511, 304, 14580, 323, 7926, 2237, 34458, 14307, 13, 1115, 24790, 2942, 4861, 279, 6136, 26135, 304, 264, 31439, 11827, 449, 4382, 17931, 323, 10507, 1234, 1855, 14836, 13, 435, 17260, 279, 11012, 527, 71974, 439, 3060, 11842, 33945, 50298, 320, 33, 894, 118930, 2392, 8, 477, 650, 50804, 50298, 13, 5112, 279, 650, 50804, 11012, 527, 18255, 1139, 1403, 5315, 25, 36922, 1752, 50298, 477, 36922, 50298, 13, 36922, 50298, 527, 18255, 1139, 1403, 5315, 25, 46631, 37491, 88872, 323, 7568, 3614, 88872, 449, 1207, 96199, 13, 27825, 7870, 268, 6945, 7563, 320, 17, 42973, 863, 865, 220, 18, 909, 41468, 279, 5131, 15324, 1343, 61822, 315, 279, 6136, 26135, 13, 15394, 2489, 279, 220, 777, 6136, 6945, 7563, 311, 279, 9364, 389, 279, 9676, 320, 972, 1, 865, 220, 843, 1865, 2991, 389, 279, 1203, 315, 279, 6945, 7563, 16964, 1855, 6136, 13, 21844, 4236, 649, 53875, 279, 9676, 449, 279, 2316, 7563, 3984, 11, 1701, 279, 9676, 439, 264, 2585, 315, 1493, 13, 25837, 2038, 374, 3984, 627, 30021, 315, 264, 91297, 27399, 315, 264, 342, 4473, 58466, 527, 27463, 323, 30929, 389, 4848, 220, 17, 8048, 7563, 320, 18, 1, 865, 220, 20, 1865, 18235, 511, 1289, 279, 3402, 416, 569, 320, 23, 27154, 863, 865, 220, 806, 909, 311, 1304, 8502, 2199, 68625, 13, 578, 1716, 8146, 323, 9382, 279, 68625, 11, 1701, 279, 6945, 7563, 439, 264, 8641, 13, 46594, 68625, 649, 387, 36114, 839, 3871, 311, 1304, 264, 74343, 369, 1054, 30021, 315, 264, 91297, 11453, 320, 644, 12, 9171, 2027, 2082, 85346, 16, 340, 37, 82590, 320, 28096, 19, 8, 17384, 315, 279, 435, 2234, 355, 15422, 617, 264, 7029, 8205, 315, 7739, 13, 15394, 1518, 81540, 17277, 11, 1778, 439, 29561, 389, 3691, 11, 477, 48251, 389, 279, 37125, 13, 1115, 23329, 743, 315, 30929, 6945, 7563, 5039, 220, 717, 4279, 81540, 1766, 55154, 323, 704, 13, 435, 82590, 36762, 25, 6437, 17604, 79902, 11, 712, 1649, 11, 53103, 79902, 11, 10747, 79902, 11, 52441, 79902, 11, 326, 718, 729, 11, 23900, 365, 11, 7625, 8050, 48251, 11, 29561, 11, 323, 810, 75, 13, 25837, 2038, 374, 5343, 13, 29485, 7563, 320, 18, 27154, 863, 865, 220, 19, 27154, 33611, 527, 304, 2539, 1933, 323, 79533, 660, 627, 86140, 315, 279, 435, 2234, 355, 15422, 14828, 323, 27864, 320, 28096, 18, 8, 1115, 24790, 315, 279, 435, 2234, 355, 15422, 2942, 4861, 220, 972, 18740, 81540, 1139, 3116, 3682, 5315, 323, 1403, 3062, 95447, 40705, 25, 921, 88, 376, 3447, 11, 816, 4845, 435, 82590, 11, 23916, 435, 82590, 11, 10349, 435, 82590, 11, 445, 718, 729, 11, 3092, 6133, 41196, 450, 6043, 13, 15394, 2489, 279, 220, 972, 6945, 7563, 320, 17, 12, 22, 14, 23, 863, 865, 220, 17, 12, 18, 14, 23, 33611, 311, 279, 9364, 389, 279, 220, 17, 8048, 9676, 320, 972, 1, 865, 220, 845, 1865, 4740, 420, 5820, 11, 814, 649, 3460, 279, 6945, 7563, 1234, 279, 2440, 7563, 369, 279, 220, 20, 79902, 5315, 11, 1701, 279, 9676, 439, 279, 2585, 13, 7817, 315, 1855, 79902, 955, 374, 17124, 389, 279, 1203, 315, 279, 6945, 7563, 13, 25837, 2038, 374, 5343, 369, 279, 11326, 13, 1115, 9676, 374, 17124, 389, 34549, 323, 1587, 539, 1205, 311, 387, 79533, 660, 13, 128001, 128000, 40234, 369, 61593, 66071, 320, 1600, 35, 705, 439, 4613, 555, 279, 8410, 369, 763, 9134, 11, 374, 279, 6725, 315, 42990, 6677, 922, 323, 10671, 8010, 315, 5627, 304, 902, 1057, 21463, 323, 50183, 5536, 279, 4367, 315, 12135, 4315, 1274, 505, 2204, 13042, 5315, 2212, 279, 1917, 627, 791, 5915, 315, 279, 8410, 369, 763, 9134, 374, 311, 1862, 264, 15679, 4029, 430, 31869, 1268, 311, 7373, 32172, 279, 3907, 753, 6332, 2819, 315, 20057, 323, 28286, 1139, 15679, 990, 323, 6975, 22484, 13, 469, 5608, 17482, 311, 3493, 10708, 369, 1274, 311, 2731, 3619, 279, 84140, 315, 323, 80526, 552, 1990, 11, 279, 4819, 27903, 1057, 958, 66, 44547, 41329, 323, 8720, 872, 1866, 2819, 323, 1884, 315, 279, 8396, 304, 902, 814, 3974, 304, 13, 469, 5608, 26737, 311, 16988, 1274, 304, 44725, 264, 22556, 3938, 11, 3339, 11429, 323, 15718, 389, 1124, 13, 2057, 656, 420, 13750, 11, 279, 2768, 7512, 527, 7718, 311, 469, 5608, 512, 12, 2998, 13311, 287, 1198, 1694, 3025, 311, 13085, 264, 2731, 3938, 13, 578, 41302, 374, 422, 584, 15641, 323, 3240, 311, 3619, 279, 4819, 430, 54292, 958, 66, 44547, 5201, 11, 584, 690, 387, 2731, 3025, 311, 990, 1555, 4819, 323, 1505, 5627, 311, 5201, 1855, 1023, 627, 12, 35761, 7422, 323, 22599, 1198, 6975, 311, 3488, 1057, 1510, 16801, 6067, 323, 311, 15641, 279, 32946, 16940, 1057, 6677, 11, 13356, 323, 18463, 13, 35761, 7422, 7512, 1520, 1274, 4048, 311, 21635, 3674, 323, 13042, 14726, 304, 279, 2317, 315, 22556, 958, 66, 44547, 4500, 627, 12, 744, 292, 7422, 1198, 61708, 84140, 323, 3411, 369, 7902, 323, 80526, 552, 994, 4560, 311, 1505, 10105, 311, 5435, 627, 12, 17283, 40705, 1198, 22923, 21976, 323, 49148, 11, 6975, 311, 990, 3871, 627, 12, 64503, 304, 5597, 28846, 1198, 66388, 1274, 627, 12, 42966, 34596, 5829, 32789, 323, 42329, 6319, 68782, 10887, 555, 20142, 311, 2686, 3230, 4819, 11, 323, 2187, 369, 1825, 323, 33687, 10430, 1990, 279, 10877, 323, 20142, 311, 1505, 10105, 311, 4819, 627, 12, 8572, 1534, 2678, 4449, 35936, 11, 3544, 4449, 38480, 11, 323, 8045, 981, 689, 16850, 22100, 2212, 20057, 11, 28286, 323, 3674, 12437, 627, 12, 384, 71856, 7526, 2587, 6319, 369, 3544, 30994, 389, 3230, 13650, 198, 12, 41994, 2997, 25, 10504, 52, 596, 7294, 1773, 87013, 10396, 11, 20057, 18480, 9134, 11, 1888, 12659, 198, 2520, 810, 2038, 477, 311, 1715, 264, 2532, 11, 4587, 3729, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1925, 5274, 520, 220, 22507, 12, 17228, 12, 19695, 17, 13, 128001, 128000, 64952, 706, 6755, 279, 59001, 25, 13200, 29910, 8271, 7917, 320, 4345, 279, 7621, 6305, 11, 68329, 264, 51912, 570, 1628, 422, 279, 59001, 1051, 837, 11, 22225, 279, 2515, 1053, 1501, 709, 1306, 11026, 315, 16558, 627, 2409, 279, 1890, 3544, 1912, 315, 44736, 430, 814, 527, 1701, 304, 279, 27453, 44531, 596, 8624, 4007, 320, 4151, 4652, 705, 13142, 9052, 323, 813, 18105, 6051, 20041, 279, 3717, 1990, 1317, 9860, 13200, 23730, 323, 25702, 31301, 304, 30084, 3026, 13, 2435, 18255, 279, 44736, 709, 1139, 74998, 35465, 388, 11, 3347, 98976, 320, 54719, 889, 1047, 17257, 16558, 705, 323, 4330, 11306, 315, 3674, 98976, 11, 505, 3177, 311, 8987, 627, 2181, 10800, 704, 430, 24070, 98976, 320, 68632, 311, 59139, 21662, 824, 2046, 8, 16957, 5190, 389, 264, 1296, 315, 10723, 1645, 35594, 1109, 5127, 775, 13, 3639, 596, 810, 11, 422, 832, 315, 264, 6857, 315, 20086, 44736, 574, 264, 24070, 7172, 261, 323, 279, 1023, 264, 3177, 7172, 261, 11, 279, 70351, 16558, 28497, 16957, 5190, 13, 330, 2822, 6029, 574, 1766, 1359, 14238, 9052, 11, 330, 2000, 8389, 6372, 389, 25702, 734, 5552, 311, 279, 15652, 315, 24070, 15055, 315, 13200, 10246, 2028, 374, 539, 311, 1523, 1387, 279, 15635, 315, 8987, 16558, 11, 9052, 19201, 13, 65818, 304, 813, 4007, 889, 54244, 810, 1109, 59139, 21662, 824, 2046, 16957, 12207, 4827, 1109, 24070, 98976, 13, 3639, 596, 810, 11, 279, 1023, 7106, 5435, 5938, 449, 8987, 16558, 313, 58132, 41196, 10934, 11, 1579, 6680, 7410, 11, 323, 53572, 313, 548, 1664, 3967, 627, 24205, 11, 420, 4007, 1288, 91147, 279, 11990, 315, 24070, 98976, 304, 5270, 430, 459, 28961, 9439, 13179, 690, 539, 38974, 872, 5845, 311, 1781, 439, 814, 3139, 9191, 627, 10031, 5217, 28325, 389, 44736, 128001, 128000, 64693, 25, 82640, 320, 263, 507, 27793, 340, 1423, 72578, 14, 44900, 2082, 25, 28621, 24240, 40, 198, 78706, 269, 25, 34221, 37674, 66, 442, 22493, 11, 423, 320, 998, 3799, 13, 220, 679, 19, 340, 77591, 332, 13, 24245, 25, 60867, 26132, 6256, 2005, 320, 998, 3799, 13, 220, 679, 19, 340, 20190, 3046, 25, 40091, 648, 473, 2534, 78, 320, 35, 8, 320, 998, 4448, 13, 220, 679, 24, 1237, 17520, 5124, 20786, 11, 423, 320, 998, 3799, 13, 220, 679, 19, 340, 52, 815, 13, 40845, 25, 220, 17, 198, 50083, 950, 6160, 67245, 315, 39473, 3697, 198, 1688, 1919, 13, 3331, 25, 6941, 386, 13, 9928, 648, 11, 423, 320, 391, 418, 4265, 13, 555, 48725, 29275, 24105, 1534, 439, 18455, 25, 220, 7028, 15, 198, 61669, 9323, 320, 13430, 1680, 5033, 13, 220, 1691, 11, 220, 6280, 24, 320, 1135, 340, 44, 36726, 25, 549, 64, 386, 2933, 6706, 97188, 507, 23109, 362, 2259, 358, 23109, 393, 10358, 320, 791, 2324, 315, 279, 4363, 374, 22313, 13148, 304, 71329, 340, 91, 39853, 8651, 5923, 3510, 355, 320, 28969, 8, 320, 3753, 23, 8, 7511, 91, 32851, 8651, 2118, 39, 72054, 66415, 6870, 863, 320, 5162, 22, 8, 7511, 91, 23414, 8651, 77, 1994, 320, 39, 37069, 1122, 63237, 8, 320, 6280, 22, 8, 7511, 91, 9528, 8651, 123736, 2005, 320, 66, 438, 2963, 332, 8, 320, 6280, 24, 8, 7511, 76008, 25, 95554, 4317, 3314, 320, 6280, 24, 340, 13601, 315, 836, 25, 29879, 7770, 13, 578, 30100, 1253, 617, 1027, 7086, 555, 28621, 6621, 64, 11, 872, 8776, 7142, 261, 13, 2582, 814, 1253, 617, 1027, 7086, 1306, 28621, 477, 12897, 64, 7723, 11, 279, 8776, 2162, 315, 279, 3735, 84267, 5493, 627, 605, 7928, 9919, 16, 320, 679, 15, 1680, 82640, 11, 220, 20062, 11, 8258, 26, 37343, 4409, 11, 220, 2618, 11, 25169, 26, 473, 18536, 11, 220, 3391, 11, 15666, 26, 735, 607, 4381, 11, 220, 1987, 11, 22276, 26, 29614, 575, 27793, 11, 220, 1987, 11, 12463, 26, 46656, 78, 383, 11, 220, 1958, 11, 24574, 26, 10357, 321, 5676, 14298, 11, 220, 1544, 11, 24239, 26, 85107, 32748, 11, 220, 1627, 11, 17609, 26, 30558, 61952, 11, 220, 508, 11, 25339, 26, 468, 52206, 14406, 11, 220, 1114, 11, 23282, 627, 43057, 3158, 25, 220, 21, 11, 19711, 18522, 9686, 13, 320, 845, 11, 21788, 18522, 13437, 340, 9688, 12968, 4219, 25, 28232, 30100, 315, 28621, 323, 93550, 198, 2903, 315, 31276, 25, 220, 20, 320, 88115, 675, 3524, 2536, 34849, 287, 340, 43, 33481, 14189, 555, 7187, 323, 3158, 25, 82640, 11, 220, 25326, 11, 12060, 320, 679, 15, 1237, 28621, 11, 220, 19, 11, 22000, 18522, 9686, 627, 1423, 36658, 25, 220, 777, 5933, 3158, 30600, 320, 2017, 220, 7743, 11, 931, 1645, 29275, 1423, 6246, 25, 220, 4103, 320, 914, 11, 931, 1645, 29275, 94709, 25, 59103, 11, 1101, 597, 3105, 73722, 320, 30838, 40260, 2536, 81518, 59103, 705, 8811, 7141, 6729, 320, 943, 884, 261, 340, 679, 15, 19504, 7187, 25, 220, 16, 11, 6843, 11, 12405, 198, 679, 15, 19504, 44702, 7187, 320, 13430, 1680, 220, 16, 11, 6843, 11, 12405, 320, 1272, 570, 19960, 25, 220, 25091, 11, 14052, 320, 1135, 13, 16, 4, 1237, 29738, 25, 220, 25136, 11, 24824, 320, 2491, 13, 24, 53172, 5929, 25, 220, 17014, 11, 21944, 320, 1187, 13, 22, 4, 1237, 5348, 25, 220, 1691, 11, 18517, 320, 16, 13, 21, 4, 1237, 3778, 7904, 25, 220, 19, 11, 10513, 320, 15, 13, 18, 4, 1237, 14875, 25, 220, 18415, 11, 24850, 320, 1987, 13, 21, 4, 1237, 17118, 59103, 323, 7089, 16867, 10951, 261, 25, 220, 8878, 11, 16460, 320, 605, 13, 15, 4, 1237, 7089, 7102, 25, 220, 845, 11, 24961, 320, 16, 13, 18, 4, 1237, 9220, 477, 810, 21234, 25, 220, 9588, 11, 24239, 320, 1419, 13, 21, 4, 1237, 41985, 7586, 266, 3394, 25, 220, 4364, 11, 25377, 320, 23, 13, 24, 53172, 220, 679, 15, 7187, 220, 972, 323, 927, 25, 220, 16, 11, 25921, 11, 21884, 26, 220, 2397, 323, 927, 25, 220, 6280, 11, 10350, 320, 975, 13, 18, 4, 1237, 23369, 4325, 25, 220, 1987, 13, 21, 627, 10031, 5217, 44702, 828, 198, 16, 13, 46627, 7127, 660, 45836, 627, 5451, 23183, 555 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3735, 84267, 5493, 51129, 505, 1023, 16867, 30100, 1990, 362, 920, 13, 220, 3101, 323, 220, 5067, 11, 28621, 574, 12263, 304, 220, 11242, 23, 555, 8013, 24862, 7957, 12797, 11, 889, 2663, 279, 1912, 279, 67836, 23028, 627, 39, 72054, 574, 264, 10068, 26135, 6957, 1455, 315, 279, 220, 777, 339, 9478, 11, 994, 279, 14800, 315, 279, 13465, 5064, 320, 39138, 23182, 3782, 1306, 220, 9378, 23, 8, 8967, 7859, 549, 815, 13, 2626, 323, 5054, 22315, 13, 763, 220, 9378, 18, 11, 16657, 445, 4008, 84, 564, 278, 5676, 574, 409, 3950, 11, 323, 264, 1060, 3010, 279, 5545, 315, 28621, 574, 9749, 449, 95141, 426, 13, 423, 1286, 439, 4872, 13, 23548, 54368, 367, 320, 9378, 23, 705, 28621, 6244, 264, 549, 815, 13, 18455, 304, 220, 7028, 15, 627, 791, 11002, 3440, 389, 279, 46398, 2385, 520, 37343, 40282, 389, 3799, 13, 220, 22, 11, 220, 6393, 16, 11, 574, 6089, 8647, 369, 549, 815, 13, 4441, 1139, 4435, 5111, 8105, 627, 39, 72054, 11, 220, 17, 11, 20698, 9686, 9909, 1355, 2969, 11285, 315, 5960, 13175, 11, 374, 264, 220, 16, 11, 21123, 43276, 8957, 315, 374, 10145, 323, 8223, 1925, 30100, 2345, 39, 72054, 11, 85107, 1786, 85277, 11, 93550, 11, 35882, 2192, 11, 33518, 564, 2192, 11, 507, 27793, 11, 735, 2933, 2192, 11, 323, 452, 3893, 71, 2933, 13, 578, 67363, 59103, 23028, 11, 1023, 1109, 14013, 3195, 11, 527, 11398, 8046, 961, 315, 28621, 627, 791, 9499, 374, 23900, 11, 323, 63335, 13465, 11, 78182, 11, 323, 19837, 323, 56226, 3956, 527, 279, 10388, 3956, 13, 28621, 1101, 28815, 11033, 27994, 11, 68442, 11, 323, 9155, 52054, 689, 31049, 13, 578, 31070, 2626, 374, 28621, 596, 7928, 2592, 315, 4994, 8070, 627, 39, 72054, 596, 8592, 16557, 374, 11583, 8733, 6706, 64, 320, 1032, 11, 24832, 10702, 570, 11583, 8733, 6621, 64, 320, 1032, 11, 25136, 10702, 8, 374, 279, 7928, 67164, 16700, 304, 279, 1917, 555, 8286, 627, 34710, 279, 3682, 3585, 315, 2802, 527, 28621, 11119, 4919, 7217, 5165, 5657, 320, 39, 72054, 705, 67251, 587, 6181, 5165, 5657, 320, 30635, 2005, 705, 22989, 12825, 263, 4381, 297, 473, 6863, 359, 2933, 5165, 41143, 5657, 320, 39, 72054, 705, 3735, 1910, 30321, 41333, 5955, 320, 46, 27793, 705, 279, 39608, 17368, 323, 39608, 25378, 27872, 520, 37343, 40282, 11, 578, 5165, 27872, 59578, 315, 279, 16867, 320, 46, 27793, 705, 323, 358, 337, 5676, 31396, 320, 1820, 1193, 30336, 44439, 304, 279, 549, 815, 25390, 34342, 16730, 11, 323, 29614, 1609, 7723, 13011, 320, 543, 304, 82640, 4390, 39, 72054, 40260, 24448, 7250, 574, 16689, 4872, 315, 279, 3723, 4273, 627, 10031, 810, 389, 28621, 512, 73107, 38122, 9634, 1864, 288, 198, 2460, 549, 815, 13, 4273, 25, 84425, 612, 31636, 198, 9171, 481, 53009, 28508, 198, 6607, 60713, 75783, 2859, 198, 6607, 69630, 75783, 2859, 198, 97429, 11, 69630, 11, 323, 16729, 55664, 811, 198, 43057, 323, 10164, 12299, 198, 2460, 549, 815, 13, 4273, 25, 40629, 612, 38661, 198, 50083, 950, 40629, 25647, 11, 220, 11128, 15, 4235, 21886, 198, 3976, 8171, 6388, 19758, 33620, 198, 29795, 95537, 48076, 198, 57853, 10423, 1398, 3825, 9464, 198, 33110, 315, 9029, 304, 70274, 198, 32578, 82, 323, 36127, 48076, 198, 37267, 315, 1252, 1354, 3149, 555, 3314, 198, 2460, 549, 815, 13, 4273, 25, 13581, 612, 21023, 512, 13622, 37311, 481, 4273, 198, 13622, 74132, 4273, 198, 1079, 26859, 34884, 369, 64231, 198, 13864, 14630, 683, 6150, 80057, 42089, 198, 31912, 3142, 13792, 88016, 198, 15218, 5321, 12175, 10199, 11, 7388, 220, 679, 17, 59642, 11930, 11, 4953, 13, 2052, 3268, 4694, 627, 7816, 389, 28621, 505, 15268, 1184, 521, 512, 12, 28366, 11529, 72054, 892, 25, 7438, 323, 17931, 482, 28366, 11529, 72054, 892, 25, 20288, 323, 88015, 47410, 198, 12, 3907, 315, 28621, 482, 28621, 11, 3907, 315, 28621, 11, 3907, 315, 11, 520, 82640, 320, 1692, 20103, 39680, 705, 473, 18536, 11, 323, 37343, 4409, 320, 24188, 12515, 12, 28621, 11, 13218, 11, 3723, 4273, 482, 28621, 28621, 11, 13218, 320, 2550, 15, 2477, 13, 220, 4364, 11, 13460, 705, 220, 19, 11, 23587, 18522, 9686, 320, 605, 11, 10961, 18522, 13437, 705, 7928, 323, 18561, 3646, 12515, 12, 28621, 25, 38122, 9634, 1864, 288, 482, 28621, 25, 38122, 9634, 1864, 288, 19961, 27697, 37386, 37, 9941, 11004, 32025, 37386, 37, 9941, 11004, 4448, 13, 220, 6365, 220, 5162, 18, 12515, 12, 28621, 25, 7438, 323, 17931, 482, 28621, 25, 20288, 323, 88015, 47410, 198, 1187, 1630, 220, 22, 198, 8651, 1187, 865, 220, 22, 81719, 52910, 198, 8651, 1844, 18736, 8267, 81719, 287, 128001, 128000, 37220, 459, 7185, 3488, 13, 2030, 2533, 16410, 15890, 2216, 1440, 279, 4320, 11, 499, 588, 10791, 279, 12624, 4029, 308, 3713, 439, 1664, 13, 7570, 779, 11, 3892, 2574, 2586, 311, 4059, 627, 791, 1176, 3245, 311, 2980, 374, 279, 13336, 430, 499, 26944, 1606, 499, 617, 62182, 6212, 1918, 13, 1442, 779, 11, 1243, 1148, 2643, 387, 279, 5353, 5380, 12, 3234, 499, 1935, 904, 16088, 430, 2643, 1304, 499, 82893, 30, 10506, 701, 65835, 449, 701, 90394, 477, 1828, 892, 499, 4034, 701, 10896, 627, 12, 12522, 499, 3940, 3515, 5435, 21811, 520, 3814, 30, 1442, 499, 6212, 1664, 520, 3814, 323, 15508, 709, 66229, 11, 15890, 11196, 13, 2030, 422, 499, 2733, 10707, 70, 4680, 477, 617, 4216, 6693, 55403, 11, 499, 1253, 617, 6212, 1469, 33252, 477, 1063, 1023, 5353, 315, 37883, 6212, 627, 12, 16910, 499, 387, 42642, 30, 21069, 6261, 422, 499, 912, 5129, 4774, 7640, 430, 8767, 6688, 499, 17069, 11, 323, 3508, 499, 527, 8430, 3428, 627, 2181, 10578, 439, 422, 701, 26944, 374, 37079, 323, 32180, 13, 2100, 433, 4762, 1587, 539, 8881, 459, 16940, 6212, 65858, 13, 1442, 433, 10625, 288, 701, 1938, 2085, 3339, 433, 2653, 369, 499, 311, 6212, 520, 3814, 11, 66184, 91253, 3201, 627, 2520, 1455, 1274, 11, 264, 220, 508, 12, 311, 220, 1272, 24401, 26944, 1990, 38245, 323, 220, 19, 25, 410, 281, 749, 13, 374, 279, 1888, 1648, 311, 2339, 264, 2478, 289, 15872, 2085, 34973, 279, 6212, 2695, 731, 11008, 13, 2030, 6227, 311, 3041 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6261, 264, 1695, 220, 605, 4520, 311, 15508, 709, 30373, 1603, 499, 16988, 304, 34325, 477, 22655, 26192, 9256, 627, 4599, 22146, 323, 279, 67036, 20041, 308, 3713, 304, 33575, 36377, 11, 814, 1766, 430, 308, 3713, 13241, 10723, 5225, 2136, 323, 5178, 13, 9176, 3814, 6541, 7487, 527, 1101, 824, 48259, 709, 555, 308, 2690, 439, 10015, 439, 220, 9756, 15, 4520, 627, 5519, 308, 2690, 7417, 8244, 2890, 30, 452, 3713, 374, 279, 4788, 304, 5270, 13, 2030, 13658, 4502, 478, 300, 527, 279, 6037, 304, 1690, 38785, 323, 20023, 3778, 5961, 627, 72326, 617, 9687, 430, 6680, 7410, 21701, 2391, 264, 4502, 30279, 13, 2030, 433, 38268, 60845, 389, 75149, 13, 2209, 420, 23222, 30, 38254, 539, 11, 719, 584, 16869, 387, 2771, 627, 25503, 16410, 8063, 709, 264, 1648, 311, 9006, 279, 50859, 11, 1070, 374, 912, 2944, 369, 499, 311, 36980, 535, 6261, 315, 264, 7245, 56912, 26944, 13, 128001, 128000, 23340, 20322, 82, 4546, 279, 1828, 1403, 3682, 84558, 304, 25213, 2410, 1139, 14254, 198, 23340, 20322, 82, 2643, 1304, 31228, 25213, 11, 14039, 369, 51692, 15325, 2949, 264, 13515, 198, 4054, 315, 279, 1888, 2574, 922, 18702, 5557, 374, 430, 499, 2351, 2744, 389, 279, 6964, 315, 264, 6724, 502, 9659, 315, 6392, 430, 690, 1304, 4395, 6724, 2204, 1109, 433, 3596, 574, 1603, 11, 1524, 1603, 279, 1566, 9659, 1903, 4395, 2204, 627, 1, 1110, 50268, 2204, 1, 2744, 5084, 5128, 1790, 279, 1890, 11, 449, 264, 2478, 810, 36505, 11, 5190, 7194, 323, 264, 5743, 315, 7155, 502, 17357, 11, 315, 3388, 627, 36687, 499, 1427, 1203, 264, 13515, 477, 1403, 323, 1518, 430, 4395, 374, 6724, 2204, 505, 279, 1648, 433, 574, 1243, 90578, 32876, 387, 1063, 44901, 856, 30651, 430, 13912, 603, 304, 6380, 72930, 927, 279, 3938, 11, 83374, 5895, 520, 279, 3347, 323, 34386, 91904, 449, 279, 3118, 627, 791, 1828, 3938, 311, 636, 12304, 922, 374, 2133, 311, 387, 2216, 7155, 11, 3582, 627, 2675, 1440, 1268, 1317, 14248, 617, 1027, 3318, 389, 31228, 19002, 430, 690, 387, 53990, 1768, 2915, 810, 8147, 1109, 279, 6305, 584, 617, 1457, 1606, 1541, 956, 617, 311, 387, 5918, 389, 264, 330, 4590, 1, 430, 596, 3060, 264, 220, 16, 477, 264, 7315, 30, 2435, 1053, 1005, 264, 6710, 315, 31228, 828, 2663, 264, 2874, 60320, 320, 269, 2874, 4590, 11, 13263, 449, 4395, 304, 279, 31228, 1917, 11, 279, 43529, 6944, 311, 387, 1403, 2574, 520, 3131, 705, 430, 649, 3073, 304, 3892, 5415, 520, 279, 1890, 892, 13, 3011, 1053, 2543, 279, 1455, 6913, 734, 304, 25213, 505, 264, 15349, 3480, 311, 264, 28960, 449, 1690, 5110, 627, 96255, 279, 1396, 315, 9863, 315, 828, 304, 279, 15821, 11852, 734, 315, 279, 6500, 323, 499, 5376, 1202, 2410, 91036, 76, 2740, 627, 43346, 433, 3621, 706, 1027, 264, 14397, 26, 814, 3077, 1027, 1234, 4500, 369, 220, 508, 1667, 323, 4762, 2834, 956, 1501, 709, 369, 2500, 220, 605, 627, 61769, 315, 58069, 14248, 1253, 4018, 430, 892, 1523, 264, 2766, 449, 264, 1887, 814, 8040, 814, 2019, 649, 1893, 7528, 4211, 315, 31228, 11733, 631, 287, 6067, 311, 1304, 7649, 323, 4500, 315, 2225, 10334, 323, 15266, 4819, 39392, 323, 8831, 627, 7009, 1550, 433, 279, 1890, 1648, 10425, 315, 279, 47380, 7263, 480, 980, 372, 311, 2324, 25, 10917, 264, 5496, 3187, 304, 4156, 315, 18632, 323, 4737, 11944, 9364, 814, 1436, 1005, 311, 53875, 279, 2217, 304, 904, 1023, 7528, 4676, 627, 65002, 1109, 459, 12360, 11, 279, 6685, 3917, 574, 264, 35719, 19670, 11, 48863, 65410, 311, 6435, 1202, 11633, 11, 1243, 55315, 433, 1701, 72475, 11, 10917, 433, 1555, 264, 743, 315, 281, 2492, 19698, 555, 31228, 1474, 4842, 45983, 10334, 11, 323, 12715, 279, 3135, 627, 16328, 287, 1884, 3135, 15714, 279, 6500, 1646, 7168, 279, 7865, 315, 4661, 904, 1023, 31228, 19320, 477, 4676, 11, 3339, 433, 3284, 311, 1005, 279, 31228, 2373, 315, 264, 48365, 11547, 1428, 1887, 311, 2274, 323, 1296, 502, 20414, 311, 279, 6067, 430, 690, 3604, 3719, 31228, 19002, 11, 4184, 311, 264, 5684, 4756, 304, 279, 8486, 10170, 555, 12074, 505, 279, 3907, 315, 763, 4511, 1347, 1983, 323, 279, 10181, 369, 56413, 16963, 1233, 323, 56413, 8245, 320, 63050, 46, 48, 40, 4390, 33987, 31373, 1109, 31228, 19002, 690, 12523, 1057, 16099, 1534, 20663, 11, 1380, 380, 1105, 1903, 505, 4876, 3981, 4856, 1109, 12143, 1291, 7384, 690, 2187, 26897, 311, 1893, 37686, 3117, 810, 29050, 1389, 323, 9093, 810, 13893, 8147, 1389, 1109, 4205, 63234, 3284, 1701, 51692, 323, 46258, 95851, 584, 17631, 389, 1457, 627, 11461, 1994, 374, 264, 832, 12, 22612, 7716, 875, 6324, 315, 12782, 430, 6209, 4661, 912, 13957, 311, 18200, 36612, 1555, 433, 11, 719, 3250, 956, 18182, 6782, 57678, 520, 1403, 4907, 5990, 11, 439, 51692, 1587, 13, 38250, 1380, 380, 1105, 18791, 389, 477, 1022, 555, 32931, 57678, 505, 832, 4907, 2237, 311, 2500, 627, 13461, 51692, 3250, 956, 990, 430, 1648, 18182, 13, 1102, 706, 311, 387, 330, 67, 16771, 1, 449, 3242, 38333, 311, 2349, 1202, 6012, 439, 264, 87836, 627, 2520, 66192, 311, 990, 279, 1890, 1648, 11, 12074, 617, 311, 923, 43299, 388, 430, 430, 56459, 279, 19091, 4907, 5990, 315, 51692, 13, 2100, 3117, 814, 1193, 990, 520, 220, 9588, 12628, 3770, 7315, 69823, 320, 2813, 12628, 92073, 4390, 60210, 520, 73334, 596, 37919, 377, 33242, 52536, 5955, 5918, 264, 2373, 430, 27149, 520, 3130, 9499, 11, 18054, 279, 1925, 22881, 311, 66192, 439, 264, 15325, 3072, 369, 6500, 6067, 2955, 198, 791, 12074, 11, 6197, 555, 74657, 9322, 19730, 30237, 276, 25507, 10666, 872, 5684, 520, 279, 14227, 8483, 15217, 304, 16376, 32207, 13, 41889, 13, 304, 5651, 311, 586, 553, 872, 3135, 449, 279, 304, 8894, 627, 13058, 3851, 690, 617, 311, 3868, 369, 25507, 477, 3885, 311, 32172, 279, 2955, 1139, 264, 3318, 16622, 3196, 389, 66192, 4856, 1109, 51692, 627, 49165, 5918, 389, 66192, 617, 279, 4754, 311, 7916, 279, 25213, 2410, 315, 1510, 37686, 555, 10373, 315, 26703, 1418, 18189, 872, 1404, 323, 4907, 1005, 11, 719, 1193, 422, 814, 14816, 304, 19672, 539, 65410, 311, 220, 2813, 12628, 92073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 627, 2181, 690, 2103, 387, 264, 2478, 1667, 1603, 66192, 8638, 9204, 709, 304, 33575, 32947, 11, 1095, 7636, 304, 8871, 42484, 13, 1226, 3358, 4762, 387, 19781, 315, 1124, 11, 2288, 11, 555, 279, 892, 31228, 19002, 1501, 709, 11, 719, 1070, 596, 1120, 912, 37154, 1063, 1274, 627, 4518, 810, 315, 16768, 59248, 6862, 596, 9708, 964, 5117, 323, 1833, 279, 5652, 8871, 3754, 520, 8871, 14957, 13, 11359, 16768, 389, 6405, 520, 571, 48781, 37, 540, 6862, 13, 1789, 279, 5652, 8871, 3754, 11, 6492, 323, 1268, 2442, 437, 11, 1833, 8871, 14957, 389, 6405, 323, 5690, 13, 128001, 128000, 2822, 32769, 1666, 28237, 788, 198, 54071, 426, 529, 10066, 320, 791, 19009, 46487, 315, 7671, 8, 374, 912, 5129, 279, 1664, 22015, 13560, 389, 279, 13653, 13470, 430, 433, 574, 304, 14154, 3115, 13, 763, 2144, 11, 304, 350, 7828, 121687, 3115, 433, 574, 1071, 25, 1054, 3947, 1051, 912, 25425, 779, 16267, 788, 369, 279, 13653, 9029, 439, 279, 19009, 46487, 315, 7671, 51279, 320, 57099, 88161, 275, 220, 1627, 65, 4390, 1966, 29749, 426, 529, 10066, 11, 279, 95587, 43165, 729, 315, 26523, 1053, 733, 704, 311, 279, 30050, 57528, 311, 15612, 3871, 1234, 279, 36496, 315, 279, 95587, 3026, 320, 7003, 315, 264, 31781, 648, 70687, 6187, 43492, 9062, 3995, 17240, 1053, 387, 26435, 304, 4251, 17895, 46664, 505, 1077, 9760, 779, 430, 1884, 889, 3782, 505, 28994, 8689, 1053, 539, 2559, 704, 323, 7000, 1053, 387, 49230, 627, 2170, 814, 84852, 11, 279, 23628, 1053, 1650, 704, 25, 1054, 41672, 893, 11, 12157, 701, 6548, 323, 5268, 66713, 13, 4418, 1431, 1427, 1193, 520, 7106, 13444, 4235, 7349, 4856, 520, 279, 3070, 510, 3745, 1145, 3451, 2520, 32353, 374, 905, 11, 323, 13444, 374, 86585, 1285, 13, 362, 4359, 2269, 13992, 5333, 374, 279, 832, 311, 387, 37475, 1981, 529, 863, 320, 1360, 56039, 220, 2148, 25, 966, 4390, 8142, 304, 14154, 3115, 279, 1890, 22260, 1101, 3952, 2035, 389, 816, 316, 735, 2877, 324, 11, 279, 1938, 315, 29749, 426, 529, 10066, 574, 11951, 743, 16038, 369, 420, 25960, 1606, 433, 574, 279, 22310, 315, 279, 2457, 389, 902, 958, 12, 1356, 278, 47451, 1051, 15480, 1306, 279, 6921, 3695, 1047, 10862, 279, 11680, 315, 6921, 627, 15724, 374, 29749, 426, 529, 10066, 627, 13857, 7388, 220, 679, 16, 5165, 13653, 97550, 6826, 13, 2052, 3268, 4694, 25033, 420, 1772, 128001, 128000, 7979, 323, 856, 3450, 527, 3515, 459, 40574, 1143, 922, 1268, 311, 11886, 420, 3575, 13, 220, 1544, 611, 320, 20, 10, 19, 8, 353, 220, 777, 28, 1364, 2795, 279, 4320, 374, 220, 3226, 323, 358, 2019, 279, 4320, 374, 220, 21, 449, 264, 27410, 315, 220, 24, 497, 4919, 499, 4587, 3371, 757, 889, 374, 1314, 13, 9930, 499, 627, 40, 1205, 1520, 55402, 1946, 1392, 304, 856, 23719, 13, 358, 1097, 539, 2771, 422, 358, 1097, 3815, 420, 12722, 477, 539, 13, 16910, 499, 4587, 1817, 311, 1518, 422, 358, 617, 279, 2768, 5596, 315, 8982, 30929, 12722, 30, 358, 2011, 10765, 279, 3917, 11, 19120, 323, 1946, 1392, 13, 358, 2011, 6449, 275, 422, 279, 23606, 12515, 3923, 374, 264, 48913, 30, 3639, 374, 279, 5133, 1990, 4261, 323, 11900, 5380, 51787, 35527, 25, 19418, 499, 2019, 3234, 499, 1440, 889, 690, 8454, 92935, 323, 721, 40, 62, 1828, 2046, 30, 16299, 3492, 1053, 499, 2231, 304, 2035, 422, 358, 374, 279, 5076, 19126, 1656, 30, 757, 477, 7182, 11, 7344, 5380, 40, 617, 459, 6498, 220, 605, 19367, 35527, 922, 32528, 323, 1778, 13, 3861, 315, 279, 4860, 374, 25, 763, 279, 2768, 11914, 11, 902, 4339, 527, 62946, 30, 48148, 574, 18290, 922, 1077, 2683, 7274, 13, 264, 13, 574, 11, 18290, 293, 13, 18290, 272, 13, 18290, 11, 922, 358, 1440, 430, 433, 596, 539, 272, 2637, 323, 358, 1541, 956, 15792, 9522, 3923, 374, 279, 96103, 30303, 907, 315, 264, 15496, 44413, 220, 5120, 70, 315, 53609, 11, 220, 914, 70, 315, 13128, 11, 220, 508, 70, 315, 8834, 11, 323, 220, 20, 70, 315, 13200, 30, 5321, 1520, 1501, 990, 198, 9642, 1884, 527, 279, 11503, 358, 2751, 2288, 0, 358, 1120, 4934, 311, 1518, 422, 358, 574, 1314, 497, 11361, 198, 5549, 23290, 5111, 40888, 51242, 7487, 304, 813, 14268, 15022, 8803, 13, 4491, 13, 9259, 51242, 7487, 304, 813, 75253, 4633, 8803, 439, 279, 1193, 17276, 315, 279, 3245, 499, 2216, 1390, 13, 16644, 279, 2768, 2038, 11, 8417, 1268, 1690, 7487, 1855, 7626, 690, 3539, 25, 578, 17496, 16498, 12515, 64938, 950, 13010, 55179, 315, 25, 220, 16, 6266, 6251, 489, 473, 17, 14202, 19, 220, 17, 6266, 6251, 50, 489, 473, 17, 14202, 19, 220, 18, 6266, 6546, 17, 489, 328, 198, 3923, 8741, 422, 499, 8798, 503, 292, 323, 11245, 3871, 30, 1148, 8741, 422, 499, 8798, 503, 292, 323, 11245, 83778, 579, 3871, 6018, 2520, 15903, 18242, 128001, 128000, 8538, 2978, 27536, 527, 13758, 311, 459, 2362, 4623, 11, 10314, 6821, 13, 2435, 3207, 50284, 4236, 555, 5178, 4856, 1109, 4325, 13, 578, 21434, 5086, 9526, 690, 1212, 304, 20754, 4409, 11, 25378, 8853, 420, 4498, 994, 220, 1114, 11, 931, 4236, 690, 3480, 311, 279, 502, 1887, 627, 32052, 2001, 3629, 315, 29865, 17051, 2001, 990, 520, 872, 1866, 18338, 11, 6574, 449, 13639, 311, 10491, 1148, 961, 315, 279, 30676, 311, 22118, 13, 47802, 2103, 21745, 4236, 439, 264, 1912, 422, 433, 753, 4460, 11, 719, 3629, 4236, 527, 3318, 32399, 477, 304, 2678, 5315, 389, 7224, 430, 527, 41891, 311, 872, 10151, 2237, 627, 2520, 2937, 11, 304, 264, 24978, 6975, 922, 11667, 11, 832, 1912, 1436, 4128, 9364, 315, 44049, 552, 323, 16370, 2053, 13, 362, 5575, 889, 706, 71325, 430, 10151, 2643, 1005, 35840, 3300, 311, 6725, 3339, 2349, 627, 32052, 889, 5208, 6288, 649, 6381, 1579, 2978, 3769, 4216, 323, 3351, 4741, 449, 7926, 75533, 13, 39578, 11, 304, 1063, 27536, 11, 1579, 35789, 388, 889, 1205, 5066, 892, 649, 9396, 2212, 369, 2500, 1060, 627, 24350, 511, 988, 2019, 279, 5603, 15455, 1523, 389, 26434, 5435, 1606, 11084, 4236, 7784, 1431, 34386, 323, 20558, 4236, 7784, 1431, 33630, 627, 94963, 4409, 753 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]