Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 0, 19465, 20710, 2471, 21661, 14288, 590, 3342, 454, 1103, 6683, 267, 513, 3623, 334, 568, 513, 7299, 2497, 609, 513, 1360, 1271, 1599, 281, 13936, 543, 7863, 10286, 269, 769, 24243, 267, 513, 3623, 334, 568, 849, 513, 7299, 2497, 267, 855, 835, 799, 1418, 3278, 1489, 543, 2200, 585, 519, 2043, 1765, 325, 659, 8372, 267, 5234, 267, 543, 1053, 1765, 5976, 514, 922, 6389, 269, 8249, 538, 513, 1153, 666, 581, 1732, 7307, 538, 521, 3342, 982, 952, 1142, 1367, 12200, 4759, 1185, 547, 267, 585, 3236, 267, 6582, 585, 11889, 1489, 2533, 267, 11282, 4483, 3270, 267, 543, 6218, 1053, 585, 1489, 2533, 563, 306, 3342, 616, 711, 8209, 3983, 1919, 269, 4014, 789, 4196, 513, 3483, 267, 521, 3342, 1831, 16609, 950, 2200, 267, 899, 2093, 610, 1514, 3854, 267, 616, 711, 3838, 2066, 606, 9872, 269, 3223, 9934, 267, 7201, 327, 850, 267, 543, 9931, 630, 1220, 278, 264, 4063, 602, 649, 991, 547, 17543, 7390, 547, 1312, 7299, 3889, 543, 8880, 3889, 538, 24243, 538, 1931, 547, 11694, 2875, 1967, 269, 21222, 7267, 3889, 1331, 3292, 543, 2238, 602, 2759, 2066, 521, 3342, 281, 968, 288, 1225, 14152, 1935, 547, 1565, 267, 2875, 1646, 267, 4879, 267, 543, 12802, 5673, 593, 2870, 8880, 3889, 267, 4229, 543, 6384, 602, 12969, 609, 7299, 1949, 543, 3889, 892, 630, 11390, 9934, 1696, 620, 267, 476, 1220, 278, 1040, 2334, 568, 267, 606, 9872, 568, 16999, 950, 621, 814, 1312, 521, 3342, 543, 13123, 1063, 521, 3342, 563, 763, 7991, 5441, 540, 22768, 6019, 630, 6717, 6195, 264, 568, 513, 1804, 9872, 267, 7674, 5111, 476, 8287, 267, 1822, 1053, 2066, 1614, 1292, 3786, 4926, 543, 1614, 10137, 7740, 1472, 519, 23195, 22768, 1858, 269, 16671, 6195, 779, 9752, 4804, 18471, 14456, 2882, 513, 3309, 1895, 540, 12200, 543, 5234, 689, 2066, 782, 10459, 543, 2533, 540, 519, 2852, 945, 2743, 10865, 547, 1865, 1699, 2152, 7133, 519, 2852, 2146, 269, 634, 9752, 4804, 18471, 14456, 12233, 1305, 856, 547, 3605, 2436, 521, 3342, 2291, 693, 16671, 6195, 267, 1018, 568, 4867, 1373, 2944, 547, 8115, 873, 267, 543, 1018, 3606, 3527, 666, 581, 3144, 269, 1284, 7620, 21503, 8840, 1524, 521, 3342, 267, 855, 4166, 4956, 621, 1522, 581, 1732, 547, 946, 519, 3239, 540, 2679, 13123, 1063, 521, 3342, 12544, 1123, 782, 267, 952, 513, 3623, 334, 941, 7745, 1524, 267, 621, 1223, 1100, 3476, 1599, 607, 5497, 269, 769, 519, 1699, 2804, 2916, 267, 2146, 12621, 1590, 581, 6297, 609, 741, 2907, 936, 3613, 4958, 3481, 23348, 269, 11554, 547, 8115, 4081, 521, 3342, 786, 4688, 1312, 942, 543, 2724, 676, 9319, 3653, 995, 17279, 543, 4687, 7214, 5647, 269, 2859, 11932, 267, 891, 13123, 786, 849, 1628, 513, 2631, 540, 2146, 267, 711, 1152, 1851, 519, 1585, 2852, 5520, 267, 855, 1851, 519, 1053, 649, 4196, 269, 589, 2875, 945, 7959, 602, 646, 610, 1352, 12851, 538, 267, 543, 547, 267, 513, 2852, 568, 811, 2693, 547, 581, 3811, 563, 23208, 543, 23305, 590, 3342, 454, 8601, 5140, 3356, 538, 2870, 513, 19618, 10721, 2497, 585, 16671, 6195, 267, 538, 930, 2081, 267, 3604, 538, 2528, 267, 2450, 267, 543, 1686, 2611, 1851, 519, 9697, 976, 6807, 267, 667, 1495, 1779, 267, 543, 10507, 16303, 1292, 3786, 4926, 543, 519, 1614, 10137, 7740, 269, 2353, 6753, 616, 32321, 9674, 543, 723, 1114, 12583, 269, 20323, 267, 519, 1292, 3786, 4926, 941, 4830, 12621, 267, 896, 835, 4604, 540, 3972, 4315, 267, 7674, 1114, 2950, 1369, 22768, 6019, 269, 634, 3604, 538, 3961, 543, 11585, 267, 543, 519, 9000, 540, 513, 1455, 5870, 9744, 610, 1292, 13464, 267, 1223, 3565, 547, 513, 5786, 538, 2792, 543, 5698, 269, 4746, 267, 9763, 689, 519, 12550, 1377, 267, 621, 4667, 602, 16671, 6195, 8813, 883, 2185, 2101, 521, 3342, 281, 7245, 267, 12200, 267, 27350, 543, 1489, 2533, 267, 543, 9286, 5520, 269, 2986, 1576, 267, 1142, 540, 891, 521, 3342, 3568, 521, 3342, 1369, 621, 269, 1280, 1383, 267, 7245, 9397, 1524, 883, 5491, 543, 1875, 29931, 9016, 267, 12200, 883, 2407, 6066, 543, 851, 6066, 267, 27350, 2533, 883, 1443, 2358, 593, 835, 2427, 543, 5638, 543, 14261, 593, 519, 824, 267, 543, 972, 568, 1256, 513, 7941, 538, 9286, 5234, 1063, 5604, 10986, 543, 6703, 8276, 664, 5199, 269, 898, 1131, 711, 581, 2352, 547, 2697, 3606, 521, 3342, 1369, 891, 521, 3342, 267, 543, 1247, 972, 616, 3280, 4128, 1946, 519, 2852, 568, 6896, 538, 713, 6752, 23121, 4163, 856, 711, 1152, 922, 1279, 3856, 5692, 855, 922, 1554, 3562, 6377, 4238, 607, 1134, 9789, 1483, 2243, 6212, 593, 1018, 4523, 950, 3623, 334, 6253, 9722, 562, 541, 4900, 1367, 1445, 267, 555, 342, 11301, 5876, 267, 543, 5932, 7496, 711, 1152, 547, 519, 2852, 2146, 779, 1967, 855, 267, 1034, 11932, 267, 547, 519, 1967, 540, 938, 1053, 563, 306, 3342, 543, 11773, 454, 306, 3342, 1860, 3318, 543, 12250, 1967, 538, 1312, 2318, 543, 2942, 2081, 269, 590, 3342, 2049, 950, 2043, 960, 1927, 547, 20741, 610, 811, 4628, 1020, 741, 1455, 4162, 630, 22479, 10273, 267, 476, 1001, 276, 1040, 12370, 2160, 814, 607, 922, 2203, 519, 5137, 540, 521, 3342, 547, 3895, 17284, 1369, 922, 10459, 630, 22479, 10273, 267, 476, 1001, 276, 1040, 901, 2497, 2640, 711, 1152, 519, 1967, 540, 519, 9872, 267, 855, 519, 3318, 1967, 540, 519, 2043, 1369, 1142, 3623, 334, 607, 1134, 269, 12370, 779, 2203, 814, 1044, 865, 4922, 6444, 602, 1082, 824, 5238, 723, 13986, 547, 21613, 621, 269, 10251, 267, 1034, 5238, 798, 711, 723, 519, 5318, 2200, 540, 12370, 269, 2755, 521, 3342, 949, 3895, 17284, 1369, 7522, 10459, 267, 676, 741, 1360, 2470, 267, 789, 1291, 547, 513, 7522, 1761, 2070, 269, 29760, 865, 1454, 1369, 513, 9015, 610, 1153, 267, 16929, 949, 4413, 3255, 547, 1020, 3811, 12352, 3544, 741, 8257, 269, 589, 2942, 2460, 540, 3623, 334, 5137, 568, 519, 3668, 540, 5647, 998, 15834, 5698, 630, 22479, 10273, 267, 476, 1001, 276, 1916, 763, 1646, 540, 521, 3342, 666, 4324, 1053, 950, 1489, 267, 2620, 4296, 267, 543, 3347, 8853, 1369, 519, 18532, 1604, 269, 1717, 267, 602, 1482, 3623, 334, 1646, 666, 2061, 1053, 689, 13033, 609, 1346, 3544, 540, 741, 3623, 334, 6302, 630, 31342, 267, 476, 1001, 277, 1040, 15789, 602, 1445, 593, 2875, 1967, 1450, 585, 1312, 8880, 607, 1134, 607, 7299, 3350, 2066, 521, 3342, 269, 901, 3350, 4679, 2875, 1967, 799, 538, 2490, 2640, 519, 1967, 540, 519, 9872, 630, 11390, 9934, 1696, 620, 1421, 476, 1220, 278, 1916, 290, 738, 22899, 519, 1646, 540, 9015, 17284, 1247, 5009, 15834, 5698, 267, 5647, 267, 543, 2875, 1967, 2636, 585, 519, 1655, 540, 1312, 10600, 267, 10223, 519, 1761, 2318, 2360, 540, 521, 3342, 1247, 10893, 1761, 2942, 2360, 269, 15788, 267, 713, 7472, 513, 2852, 4204, 1565, 2146, 609, 3838, 12477, 585, 1565, 4093, 269, 3223, 9934, 1696, 620, 269, 630, 1220, 278, 264, 4063, 513, 2318, 3095, 1063, 2875, 1967, 543, 519, 4222, 540, 713, 8880, 2497, 269, 16671, 6195, 814, 8045, 1896, 3811, 8880, 3889, 602, 2759, 2066, 12200, 543, 5234, 543, 9015, 521, 3342, 281, 11444, 267, 15520, 17841, 3450, 543, 1565, 267, 2518, 1565, 267, 3028, 1565, 267, 519, 2146, 1433, 4276, 267, 543, 824, 1164, 27780, 716, 2853, 563, 2026, 7074, 267, 521, 3342, 1683, 2556, 7299, 2497, 547, 519, 2852, 630, 11390, 9934, 267, 1696, 620, 1421, 476, 1220, 278, 1040, 1358, 849, 4196, 547, 2149, 519, 8699, 540, 1978, 2694, 540, 519, 9872, 269, 1280, 1383, 267, 9972, 5234, 991, 547, 2015, 519, 2852, 779, 1909, 538, 519, 3677, 2146, 267, 5329, 513, 6297, 3750, 593, 5313, 543, 1533, 7616, 269, 7991, 12621, 616, 1634, 585, 1373, 19918, 14018, 547, 5870, 519, 2115, 540, 2199, 4213, 267, 855, 2852, 2200, 616, 3908, 267, 865, 4081, 3506, 949, 1439, 909, 12721, 609, 1142, 824, 630, 22479, 10273, 267, 476, 1001, 276, 1040, 10738, 4081, 3506, 267, 12200, 1871, 543, 11349, 2620, 1565, 538, 741, 9015, 267, 17935, 547, 2149, 543, 3895, 741, 9015, 779, 1747, 538, 519, 2852, 269, 4634, 1053, 3343, 856, 521, 3342, 547, 1711, 2146, 543, 11505, 630, 31342, 267, 476, 1001, 277, 1916, 7212, 7234, 1053, 538, 521, 3342, 267, 9466, 630, 1001, 277, 264, 5267, 602, 547, 7753, 519, 17478, 540, 521, 3342, 267, 1004, 991, 547, 17543, 1374, 6209, 2238, 547, 2736, 1524, 521, 3342, 267, 899, 954, 16766, 5188, 610, 3444, 14426, 2621, 269, 8805, 1725, 320, 630, 1001, 277, 264, 5267, 2870, 3444, 1922, 23341, 6887, 547, 3565, 547, 519, 1967, 540, 1022, 2852, 11036, 269, 7167, 10273, 630, 1001, 276, 264, 2712, 2471, 12200, 547, 2671, 1713, 1565, 998, 3444, 31398, 3477, 2792, 269, 25021, 3564, 5872, 1063, 12200, 540, 1114, 13623, 267, 13368, 630, 1001, 276, 264, 5359, 593, 12621, 602, 5000, 3450, 23499, 1543, 267, 8840, 1524, 8257, 521, 3342, 547, 3895, 2875, 1967, 563, 1805, 3994, 5718, 543, 2146, 4444, 2987, 616, 7533, 547, 8236, 713, 9837, 1275, 269, 28941, 3401, 991, 547, 5968, 513, 2312, 5075, 267, 543, 12200, 991, 547, 5447, 741, 1378, 3318, 3853, 609, 519, 3853, 540, 519, 9872, 630, 22479, 10273, 267, 476, 1001, 276, 1040, 901, 18941, 568, 16079, 539, 676, 29583, 785, 541, 1690, 534, 630, 1001, 272, 1070, 945, 7074, 602, 621, 568, 519, 1909, 540, 13464, 3401, 547, 1711, 513, 8903, 2013, 585, 5647, 543, 513, 4628, 13988, 7580, 5647, 16786, 269, 589, 5812, 5048, 689, 5718, 2066, 519, 13464, 666, 1291, 547, 513, 2686, 1689, 630, 1320, 23705, 543, 7108, 7322, 267, 476, 1001, 271, 1916, 4263, 930, 12621, 267, 8840, 1524, 521, 3342, 3340, 513, 2686, 6521, 269, 901, 3340, 3972, 267, 4687, 540, 2200, 543, 1344, 267, 543, 513, 6521, 538, 14820, 269, 26189, 832, 949, 991, 547, 7259, 741, 3318, 3853, 547, 519, 3804, 540, 519, 2852, 630, 22479, 10273, 267, 476, 1001, 276, 1040, 8556, 21116, 949, 991, 547, 1628, 538, 811, 942, 585, 3444, 16162, 9918, 4058, 269, 12824, 949, 991, 547, 2671, 741, 3785, 543, 1413, 585, 3444, 16162, 9918, 4891, 630, 298, 565, 578, 747, 267, 476, 1001, 271, 1040, 20513, 543, 5234, 949, 991, 547, 960, 593, 811, 8880, 3889, 547, 3895, 2875, 1967, 538, 19174, 607, 1134, 607, 2123, 1646, 269, 1635, 2921, 891, 3268, 267, 12621, 543, 9945, 666, 1628, 513, 2528, 538, 799, 519, 2898, 13464, 568, 513, 1565, 2146, 630, 11390, 9934, 1696, 620, 1421, 476, 1220, 278, 1916, 763, 16671, 6195, 9752, 4804, 18471, 14456, 12233, 13922, 547, 20006, 4901, 540, 519, 2360, 3623, 334, 3206, 949, 723, 593, 519, 2852, 267, 6044, 267, 543, 1053, 269, 2311, 16671, 6195, 267, 972, 616, 1082, 4540, 13123, 269, 1452, 3292, 616, 3811, 1317, 789, 941, 17543, 2966, 282, 723, 2178, 1489, 689, 519, 7245, 267, 12200, 267, 543, 5234, 282, 543, 723, 513, 2318, 1764, 593, 2875, 6278, 269, 634, 12233, 13922, 547, 5000, 543, 1489, 2818, 540, 519, 2852, 2146, 607, 789, 3136, 3695, 2081, 547, 12840, 609, 9164, 689, 1114, 2694, 540, 519, 2852, 269, 1323, 1271, 8115, 519, 12233, 4566, 547, 960, 593, 568, 1063, 1053, 543, 2852, 12200, 267, 5234, 267, 543, 7245, 267, 547, 16436, 2875, 9739, 883, 519, 7391, 563, 31342, 267, 590, 269, 630, 1001, 277, 267, 2904, 476, 1428, 1040, 3657, 12621, 685, 4763, 3646, 8380, 1053, 538, 968, 338, 3342, 685, 286, 634, 20048, 1834, 540, 14451, 4065, 563, 290, 2086, 1725, 320, 267, 654, 269, 630, 1001, 277, 267, 4989, 476, 736, 1040, 15049, 787, 909, 543, 1689, 256, 476, 276, 2081, 2362, 1196, 666, 1376, 13321, 269, 5606, 514, 1438, 269, 8158, 689, 8940, 269, 8882, 514, 1438, 2593, 270, 1001, 277, 270, 6860, 270, 736, 10774, 25744, 268, 4219, 268, 276, 268, 1811, 3620, 27941, 24737, 2275, 534, 3613, 691, 20675, 14127, 454, 22479, 10273, 267, 667, 269, 630, 1001, 276, 267, 4864, 476, 1839, 1040, 589, 5929, 1383, 875, 2352, 621, 568, 547, 4339, 519, 3623, 334, 6497, 1275, 543, 1831, 513, 3020, 1565, 3919, 281, 16700, 7955, 618, 538, 2362, 2069, 269, 21912, 514, 269, 8158, 689, 8940, 7456, 22075, 514, 2593, 9706, 592, 572, 270, 5035, 545, 7721, 2217, 24376, 1673, 858, 2159, 1922, 697, 1606, 559, 334, 268, 618, 1275, 1532, 22877, 1673, 517, 32728, 10273, 454, 293, 1090 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6892, 1109, 1730, 842, 319, 2387, 301, 815, 12181, 21653, 1993, 1730, 263, 1551, 264, 1315, 12181, 21653, 1993, 1730, 263, 1551, 314, 271, 316, 5148, 1730, 6892, 1109, 1730, 842, 319, 2387, 298, 815, 476, 273, 282, 1730, 6892, 1109, 1730, 22772, 30182, 19906, 267, 715, 267, 918, 5148, 1730, 6892, 1109, 1730, 8873, 319, 2387, 271, 282, 31299, 26384, 1012, 10084, 692, 2387, 2260, 10084, 1982, 585, 519, 1657, 1935, 1730, 5814, 319, 2387, 329, 6072, 269, 583, 559, 30818, 282, 1730, 21504, 319, 2387, 5035, 319, 2387, 24427, 294, 1730, 346, 319, 1109, 319, 1109, 1109, 19896, 9577, 547, 5372, 782, 5044, 2609, 1730, 1109, 1109, 19896, 609, 519, 3328, 540, 3105, 543, 1730, 1109, 1109, 19896, 1985, 918, 2609, 1730, 1109, 1109, 1730, 18878, 319, 2387, 341, 1355, 319, 2387, 22772, 30182, 263, 1730, 842, 319, 2387, 1551, 314, 3910, 12181, 842, 319, 2387, 301, 267, 12181, 842, 319, 2387, 298, 264, 1730, 1109, 1109, 1730, 346, 1730, 6892, 1109, 1730, 842, 319, 2387, 328, 267, 2040, 815, 12181, 271, 1730, 267, 1985, 815, 12181, 271, 1730, 267, 7173, 815, 12181, 271, 1730, 267, 9337, 815, 12181, 271, 1730, 282, 1730, 6892, 1109, 1730, 842, 319, 2387, 322, 660, 815, 12181, 271, 1730, 32547, 1109, 319, 6892, 1109, 19896, 12433, 3355, 2040, 540, 918, 266, 272, 2609, 1730, 6892, 1109, 1730, 1721, 319, 25464, 328, 815, 12181, 271, 1730, 282, 1775, 10922, 918, 30974, 1775, 2999, 715, 282, 1775, 10030, 264, 2715, 1730, 3396, 1109, 1109, 1730, 8999, 6834, 2855, 5157, 22049, 1730, 3396, 1109, 1109, 1730, 322, 660, 6834, 12181, 272, 1730, 282, 1730, 6892, 1109, 31299, 319, 1109, 319, 6892, 1109, 19896, 4635, 519, 23510, 6885, 4480, 1730, 6892, 1109, 1730, 1721, 319, 25464, 328, 815, 12181, 271, 1730, 282, 1775, 2999, 715, 282, 1775, 10030, 264, 2715, 1730, 3396, 1109, 1109, 1730, 26303, 815, 2040, 910, 2855, 5157, 22049, 1730, 3396, 1109, 1109, 1730, 21902, 269, 719, 31428, 263, 26303, 1315, 630, 322, 660, 910, 12181, 272, 1730, 264, 1341, 12181, 257, 834, 1730, 5148, 1730, 3396, 1109, 1109, 1730, 10113, 815, 1775, 1341, 918, 1341, 12181, 272, 1730, 282, 1730, 3396, 1109, 1109, 1730, 2181, 341, 815, 1775, 910, 918, 282, 1730, 3396, 1109, 1109, 1730, 604, 319, 25464, 10113, 2999, 715, 264, 2715, 1730, 13725, 1109, 1730, 8999, 6834, 2855, 314, 10113, 22049, 1730, 13725, 1109, 1730, 322, 660, 6834, 12181, 272, 1730, 282, 1730, 3396, 1109, 1109, 31299, 1730, 3396, 1109, 1109, 1730, 604, 319, 25464, 2181, 341, 13843, 12181, 271, 1730, 264, 2715, 1730, 13725, 1109, 1730, 8999, 20699, 2855, 314, 2181, 341, 22049, 1730, 13725, 1109, 1730, 322, 660, 268, 284, 1730, 272, 1730, 282, 1730, 3396, 1109, 1109, 31299, 1730, 6892, 1109, 31299, 1730, 1109, 1109, 31299, 319, 1109, 319, 1109, 1109, 19896, 30905, 8943, 1730, 1109, 1109, 1730, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 10852, 263, 21803, 26514, 26571, 264, 1730, 1109, 1109, 1730, 346, 1730, 6892, 1109, 1730, 842, 319, 2387, 1551, 26514, 815, 2715, 12181, 280, 1730, 267, 12181, 278, 1730, 267, 12181, 274, 1730, 267, 12181, 280, 1730, 267, 12181, 272, 1730, 267, 12181, 279, 1730, 267, 12181, 1556, 319, 2387, 348, 282, 1730, 6892, 1109, 1730, 842, 319, 2387, 301, 815, 2855, 32324, 282, 1730, 6892, 1109, 1730, 842, 319, 2387, 298, 815, 12181, 273, 1730, 282, 1730, 6892, 1109, 1730, 22772, 30182, 19906, 267, 715, 267, 918, 5148, 319, 1109, 319, 1109, 1109, 31299, 31299, 319, 1109, 319, 2260, 901, 3009, 568, 8329, 676, 6341, 574, 670, 1601, 664, 631, 1180, 531, 26384, 1012, 5124, 274, 692, 2387, 258, 5124, 1982, 585, 519, 1657, 1935, 319, 1109, 319, 258, 9577, 547, 5372, 782, 5044, 2609, 1730, 258, 609, 519, 3328, 540, 3105, 543, 1730, 258, 1985, 918, 2609, 1730, 3698, 319, 2387, 22772, 30182, 19906, 267, 715, 267, 918, 2567, 1730, 6892, 1109, 1730, 8999, 319, 2387, 284, 319, 2387, 271, 1730, 282, 12181, 10113, 319, 2387, 284, 319, 2387, 271, 1730, 282, 7173, 12181, 284, 319, 2387, 271, 1730, 282, 9337, 12181, 284, 319, 2387, 271, 1730, 282, 1730, 6892, 1109, 1730, 322, 660, 12181, 284, 319, 2387, 271, 1730, 32547, 1109, 319, 6892, 1109, 1730, 258, 12433, 3355, 2040, 540, 918, 266, 272, 2609, 1730, 6892, 1109, 1730, 1721, 319, 2387, 328, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 271, 1730, 267, 918, 12181, 266, 319, 2387, 272, 1730, 267, 12181, 272, 1730, 2567, 1730, 13725, 1109, 1730, 604, 1730, 263, 328, 3436, 1730, 284, 319, 2387, 301, 2567, 1730, 24748, 1109, 1730, 19874, 1730, 13725, 1109, 1730, 8999, 319, 2387, 266, 1730, 284, 319, 2387, 1551, 5157, 22049, 1730, 13725, 1109, 1730, 322, 660, 12181, 266, 1730, 284, 319, 2387, 272, 1730, 32547, 1109, 319, 6892, 1109, 1730, 258, 4635, 519, 23510, 6885, 4480, 1730, 6892, 1109, 1730, 1721, 319, 2387, 328, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 271, 1730, 267, 715, 2567, 1730, 13725, 1109, 1730, 26303, 12181, 284, 319, 2387, 8999, 319, 2387, 268, 319, 2387, 1551, 5157, 22049, 1730, 13725, 1109, 1730, 2745, 1730, 263, 26303, 12181, 270, 1730, 270, 319, 25464, 322, 660, 12181, 268, 319, 2387, 272, 1730, 1070, 1439, 1730, 284, 1730, 257, 834, 1730, 5148, 1730, 13725, 1109, 1730, 10113, 319, 2387, 284, 319, 2387, 328, 12181, 266, 319, 2387, 298, 12181, 266, 319, 2387, 272, 1730, 282, 1730, 13725, 1109, 1730, 2181, 341, 12181, 284, 319, 2387, 328, 12181, 268, 319, 2387, 298, 282, 1730, 13725, 1109, 1730, 604, 319, 25464, 1730, 10113, 319, 2387, 283, 715, 2567, 1730, 24748, 1109, 1730, 8999, 319, 2387, 266, 1730, 284, 319, 2387, 1551, 314, 1730, 10113, 1730, 22049, 1730, 24748, 1109, 1730, 322, 660, 12181, 266, 1730, 284, 319, 2387, 272, 1730, 32547, 1109, 319, 13725, 1109, 1730, 604, 319, 25464, 2181, 341, 3436, 1730, 284, 319, 2387, 271, 1730, 2567, 1730, 24748, 1109, 1730, 8999, 319, 2387, 268, 1730, 284, 319, 2387, 1551, 314, 2181, 341, 22049, 1730, 24748, 1109, 1730, 322, 660, 12181, 268, 1730, 284, 319, 2387, 272, 1730, 32547, 1109, 319, 258, 30905, 8943, 1730, 604, 319, 2387, 1029, 4067, 1029, 12181, 284, 1730, 284, 319, 2387, 262, 1029, 10852, 1029, 262, 1730, 281, 1730, 6892, 1109, 1730, 1551, 12181, 284, 319, 2387, 314, 1730, 280, 1730, 267, 12181, 278, 1730, 267, 12181, 274, 1730, 267, 12181, 280, 1730, 267, 12181, 272, 1730, 267, 12181, 279, 1730, 267, 12181, 1556, 1730, 22049, 1730, 6892, 1109, 1730, 301, 12181, 284, 319, 2387, 6352, 1730, 263, 1551, 5148, 1730, 6892, 1109, 1730, 298, 12181, 284, 319, 2387, 273, 1730, 282, 1730, 6892, 1109, 1730, 22772, 30182, 19906, 267, 715, 267, 918, 5148, 319, 1109, 319, 258, 901, 3009, 568, 8329, 676, 476, 3066, 288, 329, 599, 298, 20783, 26384, 1012, 595, 258, 692, 2387, 2260, 595, 258, 1982, 585, 519, 1657, 1935, 1730, 6748, 319, 2387, 21902, 32547, 1109, 319, 21504, 319, 2387, 5035, 319, 2387, 24427, 294, 1730, 346, 319, 1109, 319, 1109, 1109, 19896, 9577, 547, 5372, 782, 5044, 2609, 1730, 1109, 1109, 19896, 609, 519, 3328, 540, 3105, 543, 1730, 1109, 1109, 19896, 1985, 918, 2609, 1730, 1109, 1109, 1730, 18878, 319, 2387, 341, 1355, 319, 2387, 22772, 30182, 263, 1730, 842, 319, 2387, 26514, 1551, 267, 12181, 842, 319, 2387, 301, 267, 12181, 842, 319, 2387, 298, 264, 1730, 1109, 1109, 1730, 346, 1730, 6892, 1109, 1730, 842, 319, 2387, 328, 267, 2040, 815, 476, 271, 267, 1985, 815, 476, 271, 267, 7173, 815, 476, 271, 267, 9337, 815, 476, 271, 282, 1730, 6892, 1109, 1730, 842, 319, 2387, 322, 660, 815, 476, 271, 32547, 1109, 319, 6892, 1109, 19896, 12433, 3355, 2040, 540, 918, 266, 272, 2609, 1730, 6892, 1109, 1730, 1721, 319, 25464, 328, 815, 476, 271, 282, 1775, 10922, 918, 30974, 1775, 2999, 715, 282, 1775, 10030, 264, 2715, 1730, 3396, 1109, 1109, 1730, 8999, 6834, 2855, 5157, 22049, 1730, 3396, 1109, 1109, 1730, 322, 660, 6834, 476, 272, 282, 1730, 6892, 1109, 31299, 319, 1109, 319, 6892, 1109, 19896, 4635, 519, 23510, 6885, 4480, 1730, 6892, 1109, 1730, 1721, 319, 25464, 328, 815, 476, 271, 282, 1775, 2999, 715, 282, 1775, 10030, 264, 2715, 1730, 3396, 1109, 1109, 1730, 26303, 815, 2040, 910, 2855, 5157, 22049, 1730, 3396, 1109, 1109, 1730, 3519, 18030, 269, 2237, 263, 26303, 1315, 630, 322, 660, 910, 476, 272, 264, 1341, 12181, 257, 834, 1730, 5148, 1730, 3396, 1109, 1109, 1730, 10113, 815, 1775, 1341, 918, 1341, 476, 272, 282, 1730, 3396, 1109, 1109, 1730, 2181, 341, 815, 1775, 910, 918, 282, 1730, 3396, 1109, 1109, 1730, 604, 319, 25464, 10113, 2999, 715, 264, 2715, 1730, 13725, 1109, 1730, 8999, 6834, 2855, 314, 10113, 22049, 1730, 13725, 1109, 1730, 322, 660, 6834, 476, 272, 282, 1730, 3396, 1109, 1109, 31299, 1730, 3396, 1109, 1109, 1730, 604, 319, 25464, 2181, 341, 13843, 476, 271, 264, 2715, 1730, 13725, 1109, 1730, 8999, 20699, 2855, 314, 2181, 341, 22049, 1730, 13725, 1109, 1730, 322, 660, 268, 284, 272, 282, 1730, 3396, 1109, 1109, 31299, 1730, 6892, 1109, 31299, 1730, 1109, 1109, 31299, 319, 1109, 319, 1109, 1109, 19896, 30905, 8943, 1730, 1109, 1109, 1730, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 14611, 263, 21803, 26514, 26571, 264, 1730, 1109, 1109, 1730, 346, 1730, 6892, 1109, 1730, 842, 319, 2387, 26514, 1551, 815, 2715, 476, 280, 267, 476, 278, 267, 476, 274, 267, 476, 280, 267, 476, 272, 267, 476, 279, 267, 476, 1556, 7684, 282, 1730, 6892, 1109, 1730, 842, 319, 2387, 301, 815, 2855, 11482, 2654, 282, 1730, 6892, 1109, 1730, 842, 319, 2387, 298, 815, 476, 273, 282, 1730, 6892, 1109, 1730, 22772, 30182, 19906, 267, 715, 267, 918, 5148, 319, 1109, 319, 1109, 1109, 31299, 31299, 319, 1109, 319, 2260, 901, 3009, 568, 8329, 676, 476, 3066, 288, 329, 599, 298, 20783, 26384, 1012, 808, 822, 2444, 2815, 692, 12181, 692, 20479, 454, 319, 276, 476, 278, 476, 277, 476, 275, 476, 278, 476, 278, 476, 275, 2387, 692, 11742, 6988, 281, 744, 18217, 994, 288, 5060, 18416, 6611, 281, 744, 263, 272, 2020, 7069, 9608, 11872, 15561, 5091, 1886, 318, 1575, 0, 258, 25021, 538, 2230, 676, 23960, 9901, 5536, 780, 1103, 519, 4493, 540, 2856, 972, 568, 513, 6240, 540, 4227, 519, 4492, 2597, 676, 2810, 519, 6991, 540, 922, 1163, 597, 344, 780, 16352, 2655, 21114, 538, 519, 15191, 27668, 4542, 519, 2527, 2242, 4542, 4470, 593, 519, 6991, 267, 649, 1205, 971, 606, 4082, 780, 309, 337, 16031, 815, 309, 325, 300, 325, 692, 4415, 519, 29702, 2673, 547, 29112, 692, 3602, 282, 6004, 1107, 15177, 2527, 267, 966, 337, 1107, 15177, 6991, 267, 631, 325, 1107, 4492, 2527, 267, 966, 325, 1107, 4492, 6991, 267, 29112, 1107, 6991, 540, 1769, 780, 2005, 568, 9277, 547, 17108, 9211, 610, 22140, 540, 8444, 267, 1775, 4318, 1421, 609, 513, 7123, 2527, 543, 5279, 563, 2690, 519, 6388, 540, 519, 22885, 267, 594, 2015, 547, 946, 513, 6676, 5787, 1807, 269, 4340, 547, 519, 6240, 540, 9901, 5536, 10231, 1063, 519, 19218, 10824, 780, 763, 9325, 7575, 689, 1591, 547, 1591, 693, 519, 942, 540, 15393, 6521, 1813, 547, 519, 8028, 1379, 3761, 538, 8032, 8984, 267, 22955, 476, 272, 543, 476, 273, 780, 763, 3196, 267, 602, 2360, 519, 9325, 674, 284, 324, 292, 267, 1141, 2843, 499, 284, 308, 10774, 267, 554, 268, 3845, 1063, 10824, 563, 293, 284, 324, 308, 10774, 563, 763, 6991, 538, 519, 17752, 3942, 267, 543, 4061, 538, 519, 29504, 568, 3160, 547, 454, 309, 273, 284, 309, 272, 266, 520, 1141, 25602, 12268, 1834, 10231, 267, 25602, 284, 293, 8276, 284, 324, 308, 10774, 332, 4586, 2171, 2769, 554, 998, 512, 268, 942, 563, 327, 284, 520, 273, 270, 273, 284, 324, 25219, 273, 10774, 332, 273, 454, 327, 273, 284, 552, 25219, 273, 270, 273, 332, 692, 2171, 12990, 538, 519, 4082, 585, 519, 6991, 267, 1141, 966, 476, 272, 1107, 3355, 3432, 585, 519, 1101, 3942, 267, 610, 519, 19670, 851, 540, 519, 1985, 3268, 15550, 780, 1103, 519, 1576, 540, 6991, 2810, 519, 9325, 2527, 4679, 2687, 547, 519, 4082, 692, 2171, 1265, 519, 12980, 1611, 1063, 519, 2418, 538, 519, 29504, 543, 17752, 689, 519, 3942, 543, 2322, 621, 883, 519, 4542, 780, 8489, 15550, 268, 6991, 538, 519, 29504, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 780, 5575, 1055, 267, 1577, 781, 2911, 827, 27098, 1143, 269, 3143, 267, 621, 781, 711, 1175, 513, 16681, 2262, 1107, 621, 781, 2965, 513, 3350, 602, 3323, 936, 476, 1911, 1296, 3516, 256, 2368, 6014, 1004, 5433, 22247, 2713, 538, 824, 2477, 1317, 789, 5185, 7130, 543, 1256, 20655, 269, 1358, 4956, 547, 1711, 741, 1378, 22657, 1141, 789, 1223, 1745, 2922, 543, 2259, 741, 4984, 11884, 269, 2334, 781, 950, 519, 2856, 540, 5840, 3357, 909, 269, 2991, 2622, 2782, 4083, 267, 1082, 7642, 945, 15068, 519, 14195, 4941, 547, 1847, 972, 267, 865, 519, 2136, 8315, 5280, 3715, 519, 1007, 2197, 540, 5840, 538, 476, 3707, 279, 780, 3086, 267, 4952, 1373, 513, 21717, 899, 596, 267, 3395, 909, 538, 5840, 269, 1548, 1131, 707, 1272, 1413, 899, 286, 4270, 267, 18303, 12322, 2648, 16304, 856, 693, 519, 11824, 267, 2469, 547, 9413, 267, 543, 7836, 942, 609, 2828, 267, 1175, 899, 596, 256, 1717, 267, 789, 849, 1451, 827, 741, 3638, 1686, 538, 1153, 543, 1491, 851, 538, 2189, 5389, 971, 607, 14120, 12390, 4157, 27204, 543, 30687, 269, 7937, 267, 543, 1810, 1405, 7340, 3843, 8949, 2199, 3536, 899, 23881, 2378, 601, 267, 1208, 16443, 267, 543, 695, 1177, 12609, 2439, 29994, 568, 1634, 5001, 585, 922, 6909, 10124, 1932, 269, 3245, 2870, 5969, 12967, 4066, 538, 6683, 547, 3384, 1216, 5726, 1949, 267, 5840, 529, 616, 1818, 513, 1483, 1764, 593, 5355, 2729, 1472, 519, 8608, 269, 9894, 596, 917, 602, 5840, 814, 811, 1164, 24289, 30596, 543, 513, 3677, 14679, 3854, 2872, 829, 21027, 982, 1022, 824, 2197, 538, 519, 1158, 286, 2334, 781, 7168, 11141, 2439, 3719, 267, 3006, 267, 1004, 949, 2161, 1919, 827, 5840, 602, 5749, 1405, 3020, 610, 4023, 269, 898, 781, 1898, 547, 581, 2111, 547, 2671, 4977, 1344, 827, 5840, 543, 948, 1866, 1174, 922, 1650, 1732, 269, 3807, 899, 596, 1796, 909, 585, 3054, 950, 2576, 3081, 1945, 2150, 4902, 267, 1565, 827, 5840, 2636, 596, 547, 9718, 621, 23217, 780, 1103, 713, 1576, 1770, 267, 649, 3513, 2263, 1585, 3344, 540, 5840, 267, 1519, 922, 1686, 267, 3309, 2551, 267, 2686, 2833, 267, 5499, 7760, 267, 543, 10923, 4644, 269, 1635, 519, 1439, 267, 596, 3513, 723, 6591, 3407, 4030, 267, 4543, 596, 4497, 538, 7391, 827, 5840, 609, 6015, 543, 10761, 256, 1924, 267, 10544, 707, 3206, 11503, 267, 543, 1577, 781, 7832, 593, 713, 4241, 3460, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22923, 15557, 543, 31197, 585, 5840, 454, 763, 4173, 345, 331, 11672, 9906, 15557, 5840, 31197, 5358, 568, 2966, 547, 2285, 1053, 606, 538, 3829, 1620, 540, 5840, 267, 1200, 9342, 267, 1200, 1909, 538, 5647, 543, 2029, 543, 1200, 1747, 538, 519, 2518, 2146, 269, 3776, 3804, 568, 547, 7668, 543, 8300, 938, 1053, 547, 1831, 7722, 538, 519, 1184, 540, 14223, 998, 1344, 543, 2069, 563, 15430, 1836, 6035, 547, 938, 18520, 966, 1053, 267, 519, 1982, 786, 581, 9750, 547, 1331, 18520, 8633, 543, 18520, 10001, 269, 901, 786, 5512, 721, 547, 2709, 513, 6626, 1982, 543, 25058, 811, 942, 547, 14304, 938, 1053, 685, 1983, 563, 763, 6662, 568, 547, 6186, 938, 1053, 609, 519, 1344, 2877, 547, 18390, 543, 4111, 1836, 3717, 538, 8878, 540, 5840, 267, 543, 547, 4001, 873, 875, 547, 4831, 543, 13599, 1346, 9306, 2942, 543, 20093, 821, 748, 18259, 827, 5840, 563, 5978, 3102, 6437, 2882, 513, 3140, 2689, 540, 27098, 1143, 269, 4841, 1451, 827, 1114, 5380, 540, 27098, 1143, 269, 3414, 19180, 543, 575, 826, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14321, 692, 1704, 269, 476, 5392, 272, 274, 815, 476, 1704, 6398, 476, 1704, 6398, 476, 1704, 815, 476, 15876, 692, 1240, 269, 476, 6812, 274, 273, 815, 476, 1240, 6398, 476, 1240, 6398, 476, 1240, 815, 476, 8146, 692, 866, 269, 476, 277, 5952, 280, 815, 476, 866, 6398, 476, 866, 6398, 476, 866, 815, 476, 4350, 692, 736, 269, 476, 8517, 271, 815, 476, 736, 6398, 476, 736, 6398, 476, 736, 815, 476, 10711, 692, 2641, 269, 476, 280, 2918, 272, 815, 476, 2641, 6398, 476, 2641, 6398, 476, 2641, 815, 476, 22659, 692, 2420, 269, 476, 11793, 4366, 815, 476, 2420, 6398, 476, 2420, 6398, 476, 2420, 815, 476, 23417, 692, 2537, 269, 476, 13199, 6858, 815, 476, 2537, 6398, 476, 2537, 6398, 476, 2537, 815, 476, 22001, 692, 2190, 269, 476, 15946, 2190, 815, 476, 2190, 6398, 476, 2190, 6398, 476, 2190, 815, 476, 25838, 692, 1839, 269, 476, 14444, 1839, 815, 476, 1839, 6398, 476, 1839, 6398, 476, 1839, 815, 476, 26562, 692, 2918, 269, 476, 11260, 10602, 815, 476, 2918, 6398, 476, 2918, 6398, 476, 2918, 815, 476, 28091, 692, 2767, 269, 476, 3422, 10695, 815, 476, 2767, 6398, 476, 2767, 6398, 476, 2767, 815, 476, 24129, 692, 2764, 269, 476, 25546, 7367, 815, 476, 2764, 6398, 476, 2764, 6398, 476, 2764, 815, 476, 27543, 692, 3066, 269, 476, 25838, 8660, 815, 476, 3066, 6398, 476, 3066, 6398, 476, 3066, 815, 476, 27840, 692, 1789, 269, 476, 17734, 876, 815, 476, 1789, 6398, 476, 1789, 6398, 476, 1789, 815, 476, 24062, 692, 4029, 269, 476, 29574, 11011, 815, 476, 4029, 6398, 476, 4029, 6398, 476, 4029, 815, 476, 27123, 692, 3953, 269, 476, 27628, 6924, 815, 476, 3953, 6398, 476, 3953, 6398, 476, 3953, 815, 476, 26825, 692, 3451, 269, 476, 3374, 280, 4391, 815, 476, 3451, 6398, 476, 3451, 6398, 476, 3451, 815, 476, 18357, 692, 4097, 269, 476, 4375, 274, 6860, 815, 476, 4097, 6398, 476, 4097, 6398, 476, 4097, 815, 476, 29340, 692, 3374, 269, 476, 275, 2764, 4037, 815, 476, 3374, 6398, 476, 3374, 6398, 476, 3374, 815, 476, 31874, 692, 3607, 269, 476, 5379, 277, 6321, 815, 476, 3607, 6398, 476, 3607, 6398, 476, 3607, 815, 476, 3607, 274, 692, 4391, 269, 476, 2004, 277, 7871, 815, 476, 4391, 6398, 476, 4391, 6398, 476, 4391, 815, 476, 32699, 692, 4343, 269, 476, 276, 4366, 7761, 815, 476, 4343, 6398, 476, 4343, 6398, 476, 4343, 815, 476, 4343, 274, 692, 4375, 269, 476, 6795, 274, 866, 815, 476, 4375, 6398, 476, 4375, 6398, 476, 4375, 815, 476, 4375, 274, 692, 2412, 269, 476, 25953, 876, 815, 476, 2412, 6398, 476, 2412, 6398, 476, 2412, 815, 476, 29889, 692, 6078, 269, 476, 6924, 280, 2641, 815, 476, 6078, 6398, 476, 6078, 6398, 476, 6078, 815, 476, 31979, 692, 5655, 269, 476, 278, 2412, 6434, 815, 476, 5655, 6398, 476, 5655, 6398, 476, 5655, 815, 476, 275, 2537, 692, 6246, 269, 476, 278, 4817, 5881, 815, 476, 6246, 6398, 476, 6246, 6398, 476, 6246, 815, 476, 275, 3451, 692, 4510, 269, 476, 5952, 272, 10019, 815, 476, 4510, 6398, 476, 4510, 6398, 476, 4510, 815, 476, 4510, 274, 692, 3393, 269, 476, 26605, 1839, 815, 476, 3393, 6398, 476, 3393, 6398, 476, 3393, 815, 476, 28526, 692, 5379, 269, 476, 9032, 274, 3607, 815, 476, 5379, 6398, 476, 5379, 6398, 476, 5379, 815, 476, 5379, 274, 692, 5325, 269, 476, 9818, 279, 2537, 815, 476, 5325, 6398, 476, 5325, 6398, 476, 5325, 815, 476, 5325, 274, 692, 4366, 269, 476, 8099, 30020, 815, 476, 4366, 6398, 476, 4366, 6398, 476, 4366, 815, 476, 4366, 274, 692, 5392, 269, 476, 14056, 5038, 280, 815, 476, 5392, 6398, 476, 5392, 6398, 476, 5392, 815, 476, 5392, 274, 692, 2004, 269, 476, 10219, 1822, 815, 476, 2004, 6398, 476, 2004, 6398, 476, 2004, 815, 476, 2004, 274, 692, 306, 12702, 22664, 21614, 302, 4811, 692, 288, 4009, 3597, 568, 513, 1297, 799, 3947, 513, 9138, 7274, 950, 16611, 676, 3294, 780, 763, 4009, 540, 519, 1297, 476, 274, 568, 476, 280, 543, 519, 4009, 3597, 540, 476, 280, 568, 476, 274, 269, 12384, 543, 4009, 3597, 616, 11201, 569, 1644, 780, 19686, 547, 1265, 519, 4009, 3597, 540, 513, 1297, 568, 607, 5205, 281, 1677, 1265, 519, 4009, 3597, 540, 513, 1297, 267, 1265, 930, 1297, 602, 950, 16611, 676, 3294, 3947, 519, 3312, 1297, 780, 2690, 1383, 267, 547, 1265, 519, 4009, 3597, 540, 476, 280, 267, 1265, 519, 1297, 602, 950, 16611, 676, 3294, 3947, 476, 280, 267, 799, 568, 476, 274, 267, 1317, 476, 274, 1535, 476, 274, 815, 476, 280, 780, 15228, 2513, 540, 12384, 17848, 692, 2080, 616, 930, 1806, 540, 17828, 4009, 3597, 692, 271, 692, 271, 692, 284, 476, 271, 692, 1626, 692, 1626, 692, 284, 476, 275, 692, 5038, 692, 5038, 692, 284, 476, 279, 692, 272, 692, 272, 692, 284, 476, 272, 692, 1839, 692, 1839, 692, 284, 476, 276, 692, 10037, 692, 10037, 692, 284, 476, 280, 692, 275, 692, 275, 692, 284, 476, 273, 692, 3607, 692, 3607, 692, 284, 476, 277, 692, 1911, 692, 1911, 692, 284, 476, 1015, 692, 280, 692, 280, 692, 284, 476, 274, 692, 5392, 692, 5392, 692, 284, 476, 278, 692, 290, 18510, 292, 21614, 302, 4811, 692, 288, 13306, 3597, 568, 519, 1297, 602, 12750, 625, 676, 3294, 476, 274, 2053, 547, 1711, 513, 12945, 1871, 269, 28116, 5072, 899, 519, 3501, 13306, 4834, 941, 2813, 543, 1031, 585, 9819, 676, 519, 20770, 1014, 22697, 780, 763, 13306, 540, 519, 1297, 476, 273, 568, 476, 279, 543, 519, 13306, 3597, 540, 476, 279, 568, 476, 273, 269, 10699, 525, 543, 13306, 5072, 616, 11201, 569, 1644, 780, 19686, 547, 1265, 519, 13306, 3597, 540, 513, 1297, 616, 607, 5205, 281, 769, 1931, 547, 1265, 519, 13306, 3597, 540, 513, 1297, 267, 1265, 930, 1297, 602, 950, 16611, 676, 3294, 7466, 3947, 596, 519, 3312, 1297, 269, 1280, 3236, 267, 547, 1265, 519, 13306, 3597, 540, 476, 279, 267, 1265, 519, 1297, 602, 950, 16611, 676, 3294, 7466, 3947, 476, 279, 267, 799, 568, 476, 273, 267, 1317, 476, 273, 1535, 476, 273, 1535, 476, 273, 815, 476, 279, 780, 306, 312, 11586, 5357, 5508, 595, 18510, 292, 21614, 5588, 692, 2080, 616, 930, 1806, 540, 3501, 2898, 1297, 13306, 5072, 780, 6734, 692, 6734, 692, 284, 476, 271, 692, 5038, 274, 692, 5038, 274, 692, 284, 476, 275, 692, 24423, 274, 692, 24423, 274, 692, 284, 476, 279, 692, 1724, 692, 1724, 692, 284, 476, 272, 692, 10219, 274, 692, 10219, 274, 692, 284, 476, 276, 692, 278, 3066, 274, 692, 278, 3066, 274, 692, 284, 476, 280, 692, 10695, 692, 10695, 692, 284, 476, 273, 692, 21327, 274, 692, 21327, 274, 692, 284, 476, 277, 692, 1911, 6734, 692, 1911, 6734, 692, 284, 476, 1015, 692, 24129, 692, 24129, 692, 284, 476, 274, 692, 29340, 274, 692, 29340, 274, 692, 284, 476, 278, 0, 258, 8479, 1053, 1711, 1297, 6095, 4133, 1934, 547, 2253, 741, 4598, 547, 8691, 692, 20428, 1384, 13043, 692, 298, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 692, 17138, 1107, 4804, 18527, 454, 3528, 1107, 10906, 454, 27650, 13595, 1107, 4569, 692, 1892, 7089, 6284, 454, 1892, 18527, 454, 1892, 14938, 9760, 692, 14197, 25779, 4433, 17107, 2414, 2328, 543, 2744, 23440, 609, 2338, 543, 547, 6338, 8691, 780, 11854, 6900, 20505, 1384, 294, 664, 1702, 540, 519, 8691, 5013, 780, 26473, 1600, 10049, 1384, 1892, 4994, 6486, 610, 3556, 6006, 267, 1957, 610, 21312, 454, 1892, 23805, 454, 1892, 5862, 610, 1603, 2645, 454, 1892, 2898, 5309, 7815, 692, 14071, 616, 2469, 547, 5569, 1297, 968, 339, 1157, 1115, 892, 1927, 538, 1585, 9753, 547, 1293, 856, 938, 8691, 5013, 14325, 3721, 268, 3528, 28157, 30332, 1384, 272, 269, 12338, 519, 5551, 1957, 3903, 883, 10945, 610, 25965, 827, 519, 2450, 540, 606, 4994, 3556, 563, 273, 269, 623, 4875, 1079, 17783, 538, 519, 4009, 269, 623, 4875, 519, 17783, 693, 519, 1283, 593, 1312, 5011, 540, 519, 4009, 563, 274, 269, 3767, 519, 10945, 616, 4712, 585, 519, 2338, 563, 1892, 1403, 596, 616, 4358, 609, 519, 1079, 2053, 3349, 281, 4032, 676, 1079, 1107, 519, 1101, 4009, 4991, 513, 1297, 1079, 282, 519, 2034, 4991, 513, 2185, 267, 519, 3791, 4009, 4991, 513, 3670, 3092, 563, 1892, 1403, 596, 941, 2324, 593, 519, 8370, 2053, 3349, 1107, 596, 786, 1293, 676, 8370, 269, 634, 1101, 3556, 4991, 513, 8370, 267, 519, 2034, 4991, 606, 29933, 267, 519, 3791, 4991, 513, 8938, 5498, 1597, 267, 3092, 563, 275, 269, 5384, 547, 5569, 256, 1411, 786, 15827, 707, 8142, 538, 519, 1101, 8559, 543, 1287, 998, 519, 2034, 267, 865, 593, 543, 865, 8772, 269, 5213, 1406, 7340, 547, 5150, 519, 7475, 563, 276, 269, 1879, 596, 1448, 547, 519, 1101, 1297, 630, 18314, 264, 543, 2307, 968, 6343, 1079, 2053, 835, 568, 892, 519, 2626, 786, 581, 968, 18314, 6100, 3767, 950, 596, 2307, 1018, 630, 18314, 264, 2053, 630, 325, 633, 264, 568, 267, 596, 786, 1293, 2947, 2053, 1524, 519, 3556, 6095, 1633, 547, 1439, 693, 519, 1297, 4557, 543, 865, 593, 543, 865, 8772, 780, 23945, 1280, 18763, 6657, 1384, 1607, 568, 513, 3992, 602, 519, 1053, 666, 4625, 798, 593, 741, 1378, 269, 1358, 666, 2328, 610, 5862, 519, 2338, 267, 24362, 9475, 267, 5569, 519, 6486, 543, 1287, 1293, 856, 519, 4267, 269, 30459, 519, 1053, 685, 2347, 5759, 543, 8716, 7589, 568, 1946, 713, 3992, 1568, 865, 1134, 780, 5141, 3837, 630, 8269, 937, 4165, 4602, 2218, 5590, 17107, 1103, 19479, 267, 713, 2534, 568, 849, 3730, 1317, 519, 6095, 1633, 666, 581, 1031, 607, 513, 4928, 23732, 1788, 780, 10112, 20156, 9122, 593, 20505, 1384, 763, 4879, 540, 713, 3992, 568, 602, 930, 3730, 543, 22317, 1702, 540, 1297, 5013, 786, 581, 12842, 998, 3257, 713, 1788, 269, 1403, 621, 568, 711, 519, 8691, 5013, 267, 1287, 519, 2259, 540, 1603, 2338, 538, 519, 840, 1084, 572, 540, 3257, 606, 1148, 1788, 568, 513, 4052, 1259, 547, 2744, 2979, 6015, 1983, 780, 3849, 2194, 725, 630, 2690, 4841, 609, 4804, 24894, 17107, 7437, 7206, 519, 2338, 593, 1804, 6486, 267, 32609, 614, 640, 1983, 666, 581, 3710, 269, 1452, 6486, 666, 1869, 581, 1193, 2426, 267, 610, 1031, 607, 8755, 6486, 269, 15585, 908, 519, 5862, 4778, 568, 513, 1259, 547, 9029, 547, 519, 3308, 12823, 543, 1628, 4806, 6284, 1983, 269, 4634, 952, 519, 1053, 666, 1152, 1174, 519, 1297, 1899, 538, 606, 1931, 540, 835, 267, 602, 568, 1869, 519, 835, 2053, 3349, 269, 0, 427, 375, 379, 454, 9223, 454, 26422, 4873, 476, 2918, 267, 476, 1001, 272, 1635, 1384, 258, 952, 630, 343, 274, 1341, 4949, 273, 1341, 536, 343, 1341, 476, 277, 264, 814, 630, 343, 268, 273, 264, 607, 513, 3815, 543, 3762, 513, 14230, 476, 274, 950, 5258, 676, 630, 343, 268, 274, 1070, 1265, 519, 1871, 540, 513, 543, 536, 7790, 875, 547, 4194, 713, 2243, 7790, 2496, 26422, 4873, 476, 2918, 267, 476, 1001, 272, 692, 4131, 533, 3287, 264, 815, 1535, 274, 1341, 4949, 273, 1341, 536, 343, 1341, 277, 692, 3287, 268, 273, 264, 568, 513, 3815, 540, 519, 9971, 1535, 274, 1341, 4949, 273, 1341, 536, 1535, 1341, 277, 692, 335, 263, 273, 264, 815, 476, 271, 692, 335, 263, 273, 264, 815, 476, 2537, 1341, 513, 269, 2420, 1341, 536, 269, 273, 1341, 277, 815, 279, 266, 275, 320, 266, 273, 321, 266, 277, 815, 1691, 266, 476, 275, 320, 266, 476, 273, 321, 815, 476, 271, 692, 278, 1341, 273, 513, 1341, 321, 815, 476, 271, 692, 321, 815, 910, 476, 278, 910, 273, 320, 382, 483, 9217, 2020, 343, 274, 1341, 4949, 273, 1341, 536, 343, 1341, 277, 950, 5258, 676, 630, 343, 268, 274, 264, 3762, 14230, 476, 274, 780, 335, 263, 274, 264, 815, 476, 274, 692, 335, 263, 274, 264, 815, 476, 3451, 1341, 513, 269, 3953, 1341, 536, 269, 274, 1341, 277, 284, 476, 2767, 266, 280, 320, 1341, 274, 321, 1341, 277, 815, 3451, 266, 280, 320, 266, 274, 321, 815, 476, 274, 692, 1556, 266, 274, 320, 1341, 321, 815, 272, 3331, 508, 274, 320, 17070, 815, 268, 1015, 383, 508, 321, 15871, 1015, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25932, 2956, 602, 707, 6174, 781, 8654, 1062, 581, 6322, 5265, 538, 1931, 585, 621, 547, 1685, 922, 1655, 269, 28691, 602, 616, 6322, 27235, 786, 711, 1152, 1685, 14605, 855, 949, 849, 1055, 754, 593, 5765, 6808, 269, 1879, 13868, 15620, 267, 621, 568, 513, 1434, 2856, 547, 13182, 602, 707, 8279, 616, 5265, 6322, 269, 590, 2775, 1083, 1734, 538, 27129, 2990, 666, 14377, 547, 1804, 1083, 1734, 538, 11237, 4806, 269, 634, 1739, 5650, 1281, 711, 2154, 2027, 17935, 3937, 543, 5849, 1697, 2832, 269, 5254, 7968, 476, 272, 281, 4855, 513, 6366, 1377, 2627, 11105, 547, 513, 7299, 3043, 3774, 1141, 519, 1286, 666, 581, 6288, 539, 630, 320, 25880, 7450, 568, 606, 4998, 4087, 693, 1753, 1040, 29553, 519, 1286, 2786, 909, 547, 519, 3774, 607, 2673, 607, 2009, 543, 2721, 513, 7299, 1899, 593, 519, 3774, 7222, 547, 519, 4099, 1467, 540, 519, 6174, 630, 10472, 666, 581, 2944, 1034, 10502, 676, 1210, 513, 13452, 22496, 543, 14178, 621, 689, 519, 26372, 15022, 3512, 610, 3983, 613, 547, 519, 3774, 1040, 29553, 519, 1286, 2786, 1394, 2394, 519, 2212, 7547, 616, 476, 1839, 3952, 689, 519, 3774, 269, 5254, 7968, 476, 273, 281, 5269, 519, 1739, 1079, 7403, 281, 20970, 589, 281, 3245, 519, 2666, 547, 519, 12166, 4099, 540, 835, 540, 519, 2212, 2775, 14485, 20970, 645, 281, 3245, 835, 540, 519, 1970, 11237, 2212, 7547, 547, 519, 6174, 4099, 1467, 269, 630, 9827, 2268, 689, 1164, 11237, 4099, 547, 6174, 4099, 1467, 585, 476, 275, 2212, 2775, 1949, 264, 8074, 891, 7403, 269, 5254, 7968, 274, 281, 630, 288, 264, 5565, 10361, 331, 2086, 7010, 281, 8571, 835, 8880, 1899, 593, 519, 3774, 693, 513, 4463, 4010, 476, 273, 6279, 2539, 982, 20970, 589, 1500, 538, 5153, 476, 273, 269, 2201, 519, 1899, 267, 1118, 7299, 7436, 1312, 547, 519, 1318, 543, 2451, 540, 519, 6174, 4099, 1467, 1665, 693, 519, 3845, 540, 20970, 645, 689, 519, 6174, 4099, 1467, 7299, 1899, 269, 630, 289, 264, 9050, 10361, 331, 2086, 7010, 281, 8571, 1079, 8880, 3515, 593, 519, 3774, 267, 835, 693, 519, 4463, 6027, 689, 519, 2666, 547, 4099, 540, 519, 2212, 2775, 543, 835, 693, 513, 4463, 4010, 476, 273, 6279, 2539, 982, 519, 6482, 689, 519, 2666, 547, 519, 12166, 4099, 540, 519, 2212, 2775, 1500, 538, 5153, 476, 273, 269, 5269, 7299, 7436, 585, 519, 1970, 11237, 593, 519, 2539, 1899, 543, 7299, 7436, 593, 519, 5580, 1899, 585, 519, 1164, 11237, 607, 538, 3487, 630, 288, 264, 1657, 630, 1492, 1164, 11237, 7436, 616, 1500, 693, 513, 3845, 7222, 547, 519, 1164, 11237, 6482, 1500, 538, 5153, 476, 273, 1040, 5254, 7968, 275, 281, 630, 288, 264, 5565, 10361, 331, 2086, 7010, 281, 12414, 519, 2212, 7547, 593, 543, 4188, 519, 7299, 2832, 540, 519, 2212, 7547, 865, 602, 519, 1283, 8880, 2759, 4752, 540, 1142, 540, 519, 20832, 568, 4092, 2059, 519, 8880, 1899, 6537, 593, 519, 3774, 269, 17797, 519, 8880, 2832, 540, 519, 1970, 11237, 2212, 7547, 865, 602, 519, 1448, 693, 799, 519, 1283, 2759, 4752, 540, 519, 11237, 5956, 547, 9386, 20733, 568, 4092, 693, 519, 7299, 7436, 1500, 538, 5153, 476, 274, 630, 288, 1040, 630, 289, 264, 9050, 10361, 331, 2086, 7010, 281, 17797, 519, 1970, 20832, 607, 538, 630, 288, 264, 1657, 269, 17797, 519, 1164, 20832, 865, 602, 519, 4099, 540, 519, 25139, 3148, 568, 4092, 693, 519, 3444, 4646, 676, 519, 5580, 8880, 1899, 543, 519, 7299, 7436, 1500, 538, 5153, 476, 274, 630, 289, 264, 1657, 269, 0, 17456, 832, 1419, 3651, 8086, 14786, 2094, 789, 1616, 547, 1294, 875, 1134, 596, 1847, 689, 1448, 589, 547, 1448, 645, 538, 1603, 269, 589, 8086, 1957, 1223, 581, 513, 1360, 2182, 1603, 7084, 676, 606, 4081, 29459, 269, 769, 713, 2376, 267, 594, 1131, 899, 547, 2671, 609, 596, 930, 4388, 827, 875, 547, 798, 1134, 693, 621, 563, 5575, 1055, 267, 596, 991, 547, 1589, 5402, 827, 1018, 596, 616, 1603, 269, 1411, 949, 711, 1174, 621, 267, 855, 972, 779, 513, 1390, 4308, 540, 1761, 585, 9073, 538, 713, 1858, 269, 2368, 1004, 2328, 3594, 538, 513, 1797, 799, 2306, 873, 3100, 899, 789, 723, 1175, 2097, 909, 609, 513, 10206, 950, 538, 1249, 789, 4076, 6170, 1296, 6236, 621, 269, 1403, 707, 1557, 568, 2854, 713, 1259, 267, 1810, 1406, 5855, 267, 621, 568, 1455, 269, 18421, 596, 723, 547, 581, 6297, 827, 1498, 568, 1818, 2386, 596, 1810, 1406, 936, 4777, 713, 563, 12640, 6866, 596, 2461, 1603, 707, 1557, 267, 1118, 2386, 547, 1224, 782, 540, 519, 1585, 2010, 540, 2959, 269, 1684, 711, 1175, 7048, 593, 707, 1995, 607, 519, 1034, 1271, 835, 269, 1703, 568, 513, 1434, 4308, 540, 1344, 596, 666, 1451, 676, 4974, 1114, 5686, 540, 2200, 269, 901, 786, 1450, 596, 547, 2285, 811, 1344, 543, 1732, 12383, 563, 2791, 849, 1058, 1118, 2386, 602, 596, 946, 8086, 7157, 269, 6056, 827, 519, 4845, 892, 296, 2972, 4730, 609, 7161, 1848, 4107, 2693, 267, 707, 7548, 786, 2307, 596, 547, 2328, 513, 8086, 1759, 593, 713, 1060, 30937, 2593, 21189, 4845, 269, 2142, 1978, 596, 581, 3860, 543, 4277, 269, 28055, 547, 946, 519, 1383, 3177, 547, 596, 593, 707, 2013, 547, 581, 2111, 547, 1732, 1174, 3054, 563, 2691, 1603, 513, 23314, 267, 596, 949, 711, 2141, 1616, 547, 581, 607, 10855, 607, 596, 1616, 547, 581, 269, 634, 1883, 1934, 568, 547, 2327, 602, 596, 1810, 1406, 3280, 607, 952, 596, 2461, 3843, 1932, 2182, 547, 23666, 4896, 269, 634, 2601, 568, 1317, 596, 616, 711, 15691, 547, 1205, 513, 3446, 689, 519, 1957, 269, 5502, 267, 596, 2461, 3843, 547, 4217, 519, 5467, 547, 10146, 4010, 1018, 729, 1373, 1767, 563, 29490, 1118, 2386, 707, 1383, 3091, 6190, 1344, 585, 519, 5467, 547, 1174, 1018, 729, 1373, 7150, 269, 8347, 547, 581, 607, 13151, 3307, 607, 596, 666, 269, 9282, 707, 12383, 949, 581, 5618, 267, 1118, 2386, 602, 596, 1869, 1683, 6190, 1344, 585, 519, 5467, 547, 1174, 4010, 1018, 519, 1957, 568, 827, 563, 7312, 8086, 11129, 547, 581, 1187, 269, 901, 2356, 1797, 596, 991, 9522, 1406, 2328, 1945, 799, 596, 2461, 865, 25356, 609, 602, 596, 666, 1406, 1256, 1796, 547, 1294, 621, 269, 5213, 1406, 2328, 1945, 602, 568, 3833, 3819, 1317, 2043, 786, 711, 1491, 707, 23314, 12517, 543, 786, 1683, 596, 1970, 7436, 585, 621, 563, 7661, 267, 2327, 602, 596, 1224, 593, 707, 1957, 1896, 2053, 1354, 596, 15476, 621, 269, 2142, 1978, 596, 723, 519, 3617, 11249, 1318, 269, 1656, 602, 972, 616, 1100, 21342, 610, 10259, 6959, 269, 901, 786, 948, 1118, 707, 8086, 5654, 1454, 811, 3318, 563, 8310, 267, 596, 3580, 849, 1616, 547, 581, 2386, 596, 723, 606, 7650, 540, 1018, 596, 6999, 547, 2161, 269, 898, 1522, 581, 513, 9735, 2856, 547, 2328, 1524, 3388, 602, 596, 1616, 547, 2161, 1354, 596, 1376, 1603, 707, 1378, 1957, 563, 2691, 596, 723, 8737, 707, 1957, 267, 1287, 596, 1058, 6494, 621, 538, 1210, 513, 2063, 6169, 585, 13170, 269, 1403, 596, 798, 711, 4309, 513, 3210, 267, 1287, 6494, 621, 1547, 2142, 2386, 596, 616, 5812, 609, 707, 6169, 15105, 543, 11049, 5773, 563, 6826, 2386, 602, 596, 723, 3144, 1434, 1416, 540, 1022, 2042, 602, 596, 2097, 2066, 269, 6145, 8239, 543, 18685, 9073, 269, 1403, 972, 779, 513, 3390, 267, 6494, 621, 1394, 2786, 2476, 563, 2791, 1058, 849, 1118, 2386, 596, 616, 1373, 3860, 269, 1879, 621, 2501, 547, 1603, 707, 1557, 269, 1684, 711, 6529, 547, 519, 1360, 1482, 5396, 782, 998, 519, 11356, 269, 2422, 1114, 12383, 2429, 519, 1957, 269, 0, 656, 643, 6400, 1223, 581, 513, 9602, 10189, 26224, 2061, 267, 17655, 267, 8289, 532, 267, 543, 18111, 1154, 8290, 689, 513, 2780, 269, 4495, 8704, 267, 1034, 28456, 3301, 8255, 2964, 1227, 1369, 519, 4282, 547, 3761, 513, 1974, 540, 942, 21108, 1996, 3644, 6285, 563, 4467, 11772, 633, 3644, 4027, 3292, 7520, 7863, 707, 6119, 543, 8800, 689, 18453, 899, 17494, 267, 18858, 13568, 9640, 267, 543, 22342, 2264, 267, 543, 1058, 10123, 1683, 3063, 4027, 971, 607, 2688, 14184, 3595, 31486, 543, 3896, 17527, 563, 1692, 1281, 28456, 960, 888, 12901, 643, 6400, 3301, 1982, 6238, 2324, 3842, 1259, 540, 1797, 540, 10992, 707, 26099, 3156, 543, 6054, 2509, 513, 6538, 540, 6444, 12204, 540, 18453, 269, 4595, 1007, 8290, 616, 11179, 2813, 543, 7006, 10234, 3842, 1259, 540, 1797, 540, 21190, 267, 621, 3580, 10123, 4603, 609, 2780, 1949, 585, 519, 4316, 540, 519, 5767, 610, 7164, 2186, 540, 18453, 6937, 563, 23777, 1227, 267, 5021, 3156, 786, 946, 476, 274, 835, 540, 513, 2186, 7020, 3457, 281, 2189, 7020, 267, 799, 14439, 6444, 18453, 282, 5781, 9648, 7020, 267, 799, 5526, 585, 6444, 2609, 610, 12204, 540, 18453, 610, 6163, 799, 616, 2404, 3842, 1259, 540, 1797, 540, 513, 711, 8966, 1747, 3009, 19668, 282, 543, 646, 22618, 7020, 267, 799, 18767, 585, 7164, 8290, 3842, 1259, 540, 1797, 540, 23115, 856, 6444, 19035, 1867, 3889, 269, 1879, 713, 1062, 8761, 513, 1867, 602, 5161, 540, 513, 3644, 267, 621, 3580, 3335, 31741, 621, 543, 5924, 1665, 621, 585, 32280, 267, 1818, 621, 538, 17739, 1043, 543, 14874, 519, 8594, 547, 707, 3926, 563, 8722, 2137, 540, 4165, 643, 6400, 563, 4322, 616, 513, 1906, 1114, 4105, 7207, 547, 3406, 585, 538, 28456, 3301, 3292, 912, 268, 15015, 17655, 281, 15015, 17655, 6073, 596, 949, 2253, 513, 1449, 1142, 942, 596, 1616, 563, 268, 2201, 268, 1326, 16075, 547, 17655, 281, 901, 1106, 540, 17655, 6238, 1142, 942, 596, 1930, 519, 28456, 3301, 1982, 267, 7363, 2390, 1907, 23492, 269, 634, 2744, 540, 593, 268, 1326, 16075, 547, 17655, 568, 602, 621, 11151, 596, 689, 30534, 547, 2196, 513, 1449, 563, 268, 2480, 1117, 27968, 18767, 281, 2368, 3301, 1982, 3091, 596, 519, 3903, 547, 4626, 564, 762, 18767, 585, 3339, 8320, 1169, 1554, 610, 3018, 269, 6145, 593, 268, 1326, 16075, 547, 18767, 267, 16516, 18767, 616, 513, 3914, 762, 6073, 547, 1118, 1978, 596, 1832, 538, 2247, 547, 1449, 707, 1907, 5781, 563, 268, 16797, 18767, 281, 16797, 18767, 1449, 3335, 1031, 4525, 540, 513, 1907, 267, 1927, 609, 5618, 6119, 267, 519, 2324, 3684, 15682, 267, 543, 519, 26099, 3965, 269, 5221, 789, 1810, 1406, 1449, 519, 2898, 2603, 538, 707, 1907, 267, 789, 2356, 1491, 1454, 1447, 982, 513, 3368, 16923, 547, 2347, 563, 268, 9509, 1449, 281, 589, 2407, 2173, 22389, 1449, 666, 1491, 16113, 3476, 547, 9096, 982, 513, 5618, 1449, 607, 621, 5526, 693, 5963, 1142, 513, 851, 540, 707, 3926, 267, 799, 2882, 3544, 19269, 543, 6119, 563, 268, 9605, 13665, 281, 901, 3106, 8984, 2501, 15985, 1194, 609, 513, 1906, 28456, 3301, 1982, 3292, 269, 26243, 267, 513, 31216, 568, 513, 3774, 610, 11064, 1063, 519, 2121, 543, 707, 3926, 269, 898, 3381, 4159, 4559, 782, 19670, 3135, 8436, 543, 14998, 610, 7161, 621, 5097, 1759, 11207, 593, 519, 3106, 5468, 596, 4076, 6074, 563, 268, 4201, 11703, 10311, 281, 901, 4016, 547, 875, 4749, 606, 28456, 10189, 4308, 10311, 922, 3644, 543, 18453, 8847, 269, 14627, 550, 610, 1875, 3613, 641, 10311, 17538, 519, 3301, 1982, 568, 1454, 811, 2693, 547, 12398, 18453, 5097, 1759, 11207, 593, 22782, 610, 646, 584, 2524, 563, 15650, 540, 1455, 6937, 563, 2026, 519, 5769, 540, 12085, 630, 31166, 264, 9428, 267, 865, 1281, 519, 9651, 540, 6880, 13062, 830, 585, 10408, 7658, 10746, 543, 1114, 4950, 5829, 19269, 267, 1631, 1100, 3476, 3274, 707, 1875, 1790, 3016, 26099, 269, 4340, 547, 6641, 656, 1815, 779, 5769, 8232, 21784, 7797, 476, 1001, 279, 267, 18453, 585, 10408, 19269, 1927, 609, 740, 2264, 267, 26030, 2264, 267, 543, 8290, 11506, 676, 476, 7918, 260, 538, 476, 1001, 278, 282, 543, 7194, 23563, 543, 8446, 3775, 25053, 849, 616, 593, 519, 4473, 563, 22416, 2264, 267, 5618, 585, 968, 7356, 5534, 3301, 1982, 2223, 568, 513, 24120, 942, 1974, 602, 4016, 547, 606, 3573, 2511, 540, 3301, 1982, 15004, 2966, 547, 798, 2800, 610, 798, 1114, 24379, 7575, 547, 513, 26099, 267, 7746, 267, 610, 26099, 2146, 5871, 1806, 7854, 8290, 267, 740, 2264, 267, 543, 7708, 13568, 9640, 269, 5689, 2264, 666, 7930, 1524, 610, 16154, 707, 1907, 610, 18419, 6119, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2910, 289, 5357, 630, 4596, 332, 3000, 6355, 18112, 5034, 5678, 1070, 799, 16866, 8193, 543, 8118, 9885, 585, 811, 2043, 547, 4283, 519, 2361, 540, 7384, 780, 4131, 781, 5577, 936, 547, 519, 824, 2427, 540, 519, 8608, 547, 3127, 1282, 519, 3735, 14206, 2540, 269, 3220, 269, 14076, 4414, 11276, 267, 4535, 538, 918, 4405, 8498, 267, 2968, 519, 1101, 4095, 12677, 547, 3094, 519, 20380, 570, 1005, 13815, 267, 1634, 607, 519, 17587, 15356, 540, 8950, 3163, 269, 1717, 267, 1705, 596, 917, 602, 646, 1071, 1922, 15903, 519, 29790, 4659, 693, 31257, 631, 749, 517, 2160, 7258, 1776, 7415, 4807, 3957, 22526, 700, 7416, 990, 286, 700, 7416, 990, 267, 606, 1977, 2780, 10196, 267, 3648, 12936, 1239, 3889, 543, 3301, 1374, 269, 7324, 1200, 3875, 10781, 267, 1352, 2813, 14160, 308, 630, 29455, 1412, 5408, 2000, 5622, 30670, 606, 9565, 5752, 1893, 2966, 585, 1804, 8397, 3301, 3785, 780, 7661, 267, 1577, 781, 1413, 693, 670, 9037, 19681, 1551, 267, 513, 1350, 600, 5387, 22341, 12677, 957, 816, 543, 23266, 269, 4438, 24918, 267, 1352, 32524, 609, 21917, 6723, 4165, 515, 559, 547, 6427, 4908, 3620, 25891, 3262, 8552, 2029, 267, 5921, 547, 5150, 4108, 10618, 1996, 10546, 17522, 269, 9282, 7620, 15763, 1813, 547, 1200, 588, 731, 558, 267, 19681, 1551, 781, 8798, 2663, 9863, 2629, 538, 2413, 12616, 2792, 1949, 899, 15870, 267, 15261, 19712, 267, 543, 29402, 269, 3502, 3983, 585, 2576, 1732, 1634, 585, 1373, 513, 21035, 5182, 2439, 4322, 2984, 9414, 602, 1100, 2339, 1141, 596, 2097, 689, 610, 1018, 9465, 1796, 538, 707, 1259, 267, 4896, 666, 3565, 547, 5935, 938, 6639, 1158, 269, 1306, 649, 3136, 3695, 10124, 538, 5904, 267, 4950, 267, 543, 1514, 2923, 267, 3314, 602, 972, 616, 9118, 5667, 2426, 12325, 4171, 14262, 8906, 543, 16177, 4547, 721, 1934, 2221, 269, 1656, 1851, 873, 616, 17216, 811, 6909, 2021, 7996, 547, 8300, 9358, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 513, 476, 2735, 280, 1433, 267, 519, 29489, 15537, 20289, 717, 746, 15054, 513, 2219, 4603, 912, 296, 1289, 713, 4603, 968, 516, 2452, 532, 1272, 779, 11746, 1848, 1411, 2046, 519, 556, 13388, 7735, 543, 267, 1818, 2386, 596, 8499, 32135, 3388, 602, 2965, 5949, 267, 979, 1394, 547, 1022, 942, 543, 1747, 538, 519, 2250, 2507, 1287, 1577, 519, 11746, 2196, 1586, 543, 1294, 952, 519, 17279, 5654, 693, 782, 899, 519, 3312, 3034, 2507, 1415, 556, 2452, 540, 519, 11746, 1131, 1291, 4720, 1524, 513, 13374, 32753, 1114, 689, 519, 4155, 2965, 3144, 2507, 1325, 614, 1022, 2038, 2680, 267, 2479, 865, 5594, 543, 1510, 7805, 2956, 693, 519, 942, 267, 543, 4720, 22107, 3547, 883, 513, 32753, 1114, 8756, 563, 294, 746, 568, 5461, 538, 519, 1909, 540, 20314, 1890, 538, 519, 1686, 540, 1272, 269, 1809, 649, 666, 2307, 519, 1482, 2243, 827, 2029, 269, 14597, 538, 930, 6252, 7122, 1686, 8399, 539, 1524, 513, 3833, 1114, 2619, 689, 938, 1378, 267, 16172, 1310, 30941, 18682, 16772, 7960, 269, 1403, 649, 3728, 4464, 547, 476, 1708, 273, 540, 602, 7122, 267, 875, 1114, 1131, 519, 6639, 14404, 636, 540, 602, 6252, 7122, 581, 689, 938, 1378, 286, 14348, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18131, 538, 13241, 543, 15306, 3778, 257, 607, 851, 540, 834, 16300, 13493, 1315, 23675, 1315, 5769, 1299, 4317, 9012, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 674, 730, 631, 919, 538, 3474, 534, 5436, 23620, 910, 1744, 604, 1562, 692, 5970, 596, 2479, 4862, 540, 519, 2165, 834, 325, 622, 22172, 898, 781, 519, 2856, 602, 1978, 1919, 616, 5921, 547, 4755, 267, 899, 1079, 1004, 1373, 30758, 547, 581, 1927, 269, 3767, 267, 1018, 952, 594, 5143, 596, 972, 729, 513, 1158, 1141, 930, 7068, 5156, 789, 1185, 513, 2392, 652, 1441, 7649, 267, 2576, 945, 6192, 873, 538, 1169, 1259, 286, 8080, 547, 519, 4241, 1158, 540, 31510, 5436, 15832, 5473, 6442, 1562, 543, 741, 1523, 540, 535, 730, 29982, 2439, 4537, 604, 1562, 616, 3197, 538, 2984, 945, 666, 2981, 883, 2831, 1247, 20808, 1480, 9637, 269, 1452, 7919, 1419, 2661, 7258, 3425, 29462, 1813, 547, 741, 6909, 3337, 6879, 14823, 5759, 269, 7324, 891, 9058, 5546, 327, 604, 1562, 267, 972, 6818, 513, 3532, 3661, 538, 9997, 10863, 1572, 1412, 325, 730, 29982, 9538, 4340, 547, 713, 2856, 267, 1142, 1367, 814, 835, 3501, 6474, 267, 1776, 16750, 13442, 7247, 789, 616, 22023, 626, 4601, 6537, 2509, 269, 901, 4276, 25186, 942, 267, 2230, 267, 543, 1256, 2250, 3347, 1317, 12556, 3112, 581, 17792, 780, 5331, 4466, 856, 602, 519, 1007, 4819, 693, 1153, 267, 945, 4667, 8723, 2614, 267, 7140, 883, 513, 23836, 18896, 896, 519, 2407, 7599, 286, 1306, 829, 3504, 561, 648, 267, 646, 1522, 1175, 581, 707, 535, 730, 19898, 269, 590, 1706, 802, 1131, 8038, 14678, 282, 1100, 2339, 875, 2182, 596, 6836, 547, 5706, 267, 707, 12271, 1131, 10726, 1152, 585, 1142, 824, 269, 3683, 342, 3559, 2719, 4606, 540, 7287, 267, 4027, 267, 543, 31070, 1266, 5285, 1312, 6105, 2899, 789, 2697, 741, 3020, 11218, 269, 1717, 267, 7114, 835, 781, 535, 730, 19898, 3884, 1405, 2141, 2653, 543, 2356, 3322, 8062, 543, 5513, 2827, 1354, 6368, 4947, 1927, 780, 4131, 781, 1413, 693, 606, 1383, 689, 2442, 3332, 281, 1325, 569, 21244, 267, 513, 18896, 6442, 614, 543, 513, 1530, 518, 267, 9060, 9887, 538, 1410, 2364, 2406, 13631, 547, 14216, 1066, 23747, 267, 519, 29530, 540, 519, 22358, 3640, 269, 6736, 1010, 3355, 771, 3697, 585, 1200, 2249, 267, 1945, 827, 1325, 569, 8952, 5373, 1864, 1394, 269, 16393, 1352, 581, 1010, 535, 730, 19898, 286, 4256, 31341, 6681, 3460, 4904, 609, 2591, 6038, 5012, 873, 547, 3605, 513, 2620, 6125, 9444, 1223, 20912, 780, 3086, 267, 4952, 2870, 971, 19511, 6386, 3054, 256, 5675, 827, 535, 730, 29982, 1851, 6442, 1562, 2636, 3408, 540, 7920, 4664, 267, 13858, 9035, 267, 543, 2189, 5380, 269, 1635, 1620, 519, 9238, 540, 713, 24848, 516, 267, 596, 1932, 666, 1711, 8903, 8941, 540, 2648, 1996, 12918, 267, 9589, 7004, 267, 543, 25386, 7554, 1063, 3197, 269, 1924, 1577, 707, 5876, 2196, 3552, 543, 4050, 1524, 707, 1378, 1650, 540, 535, 730, 29982, 1369, 519, 7706, 540, 31510, 5436, 6442, 614, 15832, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 2648, 782, 1346, 14598, 5652, 620, 3508, 630, 663, 865, 798, 596, 256, 1070, 855, 950, 621, 2501, 547, 941, 342, 6504, 15832, 2835, 267, 799, 616, 519, 586, 17026, 5006, 286, 1703, 616, 7899, 540, 3023, 344, 941, 342, 6504, 15832, 2835, 547, 1821, 712, 543, 2887, 27604, 547, 519, 13672, 779, 1347, 916, 269, 1809, 799, 616, 519, 29224, 888, 2080, 616, 938, 26717, 585, 519, 1283, 476, 2568, 1655, 941, 342, 6504, 15832, 9089, 269, 6904, 568, 707, 5172, 888, 2171, 723, 3893, 596, 4988, 267, 689, 24488, 23620, 543, 12124, 26135, 547, 8479, 16989, 267, 3163, 11470, 267, 12634, 23620, 267, 543, 3474, 534, 5436, 23620, 256, 1656, 952, 596, 20801, 547, 519, 5377, 540, 519, 2985, 267, 649, 28520, 538, 513, 2898, 3296, 540, 1283, 268, 3603, 17676, 21518, 342, 6504, 23620, 7734, 2336, 2791, 786, 849, 1265, 602, 1082, 540, 938, 25926, 585, 519, 1655, 941, 342, 6504, 15832, 9089, 7396, 2630, 2097, 1863, 609, 513, 28632, 1133, 15905, 20478, 563, 3201, 303, 11190, 654, 2207, 11246, 5357, 293, 681, 6865, 23814, 21398, 10498, 306, 454, 306, 2869, 531, 540, 10261, 1107, 30554, 22828, 19159, 454, 2108, 2704, 569, 21244, 3884, 1406, 1175, 513, 18896, 6442, 614, 1765, 9917, 779, 513, 1530, 518, 269, 1809, 513, 8004, 3085, 1406, 4010, 991, 2027, 7060, 547, 917, 602, 14216, 1066, 23747, 16339, 2478, 1200, 3003, 2186, 269, 2598, 323, 664, 18374, 20061, 1055, 519, 29530, 540, 519, 8585, 2017, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 730, 631, 919, 257, 607, 851, 540, 834, 11227, 1315, 23620, 1315, 3474, 534, 5436, 1315, 1744, 604, 1562, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1898, 8324, 543, 6886, 267, 707, 1560, 18085, 1599, 607, 3927, 29692, 10010, 547, 1832, 707, 4064, 1930, 538, 1346, 1394, 3562, 25746, 28652, 11401, 2336, 6624, 540, 891, 5567, 616, 660, 3812, 676, 707, 1560, 6923, 267, 865, 596, 723, 547, 3824, 652, 873, 998, 1426, 269, 1809, 2094, 519, 1426, 596, 3548, 568, 660, 607, 8770, 1673, 1619, 891, 2395, 267, 596, 1522, 711, 581, 3478, 519, 5567, 602, 2285, 596, 1648, 563, 2414, 4368, 602, 267, 1934, 616, 476, 277, 540, 519, 1034, 1455, 8770, 19518, 602, 1223, 581, 4929, 707, 9854, 912, 24791, 667, 269, 634, 8501, 538, 707, 2960, 7472, 713, 1271, 8770, 950, 922, 6534, 547, 7943, 269, 1809, 13071, 3068, 621, 281, 596, 516, 711, 3478, 513, 9522, 540, 7943, 891, 2395, 3330, 693, 707, 11380, 269, 1924, 596, 1522, 581, 15877, 519, 6653, 12192, 667, 602, 8952, 707, 1648, 2157, 909, 543, 7028, 707, 4761, 1062, 543, 8937, 1072, 563, 300, 1725, 10901, 269, 901, 1883, 7777, 568, 1271, 585, 2679, 5642, 543, 4522, 2497, 267, 21363, 6091, 267, 5009, 3207, 267, 4543, 12536, 267, 543, 865, 1454, 811, 269, 1809, 922, 849, 1898, 585, 14291, 707, 1426, 883, 1648, 269, 774, 1846, 1946, 9854, 568, 1419, 513, 1129, 540, 13101, 10638, 563, 27860, 269, 1323, 4401, 10638, 666, 849, 2014, 17350, 799, 791, 4202, 707, 1973, 2281, 2702, 547, 4163, 5135, 269, 11635, 10638, 17350, 2306, 596, 1745, 13110, 543, 4617, 543, 922, 865, 1455, 621, 5540, 513, 10116, 540, 519, 2551, 563, 27775, 2105, 7335, 281, 16592, 7982, 10266, 1656, 15310, 8982, 454, 30342, 570, 1600, 2353, 634, 5384, 1656, 15310, 8982, 4486, 20212, 454, 4407, 13110, 1145, 543, 9854, 616, 2474, 1419, 1031, 30430, 267, 789, 516, 5094, 2152, 543, 519, 1292, 3017, 568, 6051, 942, 563, 268, 570, 1600, 5886, 560, 1600, 1145, 666, 267, 585, 519, 1034, 851, 267, 581, 23174, 676, 1732, 3207, 543, 930, 942, 547, 22507, 269, 634, 5449, 568, 1141, 649, 917, 1946, 513, 1268, 568, 13110, 3602, 789, 4076, 5310, 6170, 513, 11112, 3018, 8781, 519, 23156, 693, 1312, 7475, 269, 1358, 961, 1287, 1964, 543, 1205, 930, 3207, 267, 543, 1745, 1732, 267, 6941, 20999, 563, 268, 15310, 580, 340, 655, 648, 3978, 9854, 786, 12691, 581, 17251, 2394, 606, 5817, 3390, 568, 9619, 269, 634, 8545, 568, 3564, 713, 3602, 2576, 666, 1964, 267, 855, 711, 1294, 741, 1648, 25483, 1394, 269, 20999, 8591, 267, 1548, 779, 811, 267, 13110, 1145, 693, 519, 1439, 540, 513, 1279, 3018, 814, 14156, 2318, 25664, 725, 585, 930, 517, 996, 520, 789, 557, 6913, 1945, 267, 543, 1745, 1434, 827, 741, 3646, 269, 1809, 609, 9854, 267, 4743, 25356, 585, 1100, 7805, 2601, 786, 2097, 609, 513, 2603, 540, 17140, 543, 4160, 269, 29243, 811, 267, 1256, 1346, 609, 9854, 666, 723, 1360, 1114, 2833, 269, 4706, 513, 2585, 15436, 835, 1439, 2576, 1522, 581, 2111, 547, 2661, 513, 11112, 1272, 267, 855, 711, 2731, 723, 519, 1648, 602, 5310, 789, 616, 1031, 547, 267, 6941, 20999, 269, 1809, 1287, 596, 723, 1866, 945, 616, 811, 4049, 267, 945, 949, 581, 2777, 20129, 610, 5127, 27995, 563, 1692, 14348, 1411, 14674, 15310, 8982, 23105, 2060, 623, 1824, 454, 10144, 609, 18161, 4811, 1995, 9854, 8335, 269, 3509, 4766, 621, 607, 4743, 3564, 25356, 269, 4706, 607, 952, 707, 1648, 568, 4625, 30701, 269, 634, 9854, 568, 4440, 7366, 540, 2053, 8338, 982, 707, 10782, 2770, 269, 4658, 609, 18161, 4811, 949, 849, 723, 8373, 23622, 543, 3206, 2786, 269, 23560, 2241, 4247, 949, 1745, 899, 596, 557, 1175, 2196, 513, 2261, 25070, 563, 1607, 9854, 1522, 2097, 543, 979, 267, 18644, 596, 1510, 9963, 3232, 267, 12353, 610, 1447, 4749, 269, 1280, 930, 1004, 267, 3665, 9854, 16569, 585, 2395, 269, 11524, 949, 1995, 13350, 6285, 269, 898, 666, 2097, 593, 693, 1022, 4090, 1256, 952, 596, 1175, 530, 5803, 909, 269, 1656, 972, 568, 1100, 2179, 540, 3207, 610, 6995, 602, 666, 1118, 621, 979, 2476, 563, 5649, 4746, 281, 7454, 15310, 8982, 4223, 1280, 30557, 30325, 454, 32451, 13518, 2107, 18320, 9741, 11314, 454, 288, 1268, 609, 9854, 949, 711, 1745, 2111, 547, 3635, 267, 543, 513, 3668, 540, 3635, 666, 2014, 2417, 9854, 269, 589, 3668, 540, 3635, 949, 5555, 2014, 632, 935, 1288, 532, 267, 1818, 621, 9875, 543, 811, 512, 3931, 547, 1685, 513, 2168, 4305, 563, 293, 520, 8982, 666, 849, 1860, 2635, 2043, 1310, 12675, 267, 7920, 2790, 610, 2168, 2534, 563, 306, 1460, 25792, 15486, 2986, 10610, 589, 2583, 1656, 15310, 8982, 281, 1548, 1677, 5700, 454, 6701, 596, 11842, 1946, 596, 616, 7680, 1560, 31191, 543, 9854, 693, 519, 1482, 942, 286, 13575, 267, 1560, 31191, 616, 1455, 269, 1879, 513, 1268, 23119, 689, 713, 267, 646, 610, 1352, 666, 849, 1995, 824, 2589, 267, 971, 607, 1928, 538, 513, 1880, 1560, 1858, 267, 4411, 543, 2770, 6438, 2589, 267, 543, 9854, 269, 9747, 267, 1560, 31191, 543, 9854, 2356, 2097, 1927, 269, 6884, 267, 891, 949, 849, 3142, 930, 5959, 1928, 269, 1403, 602, 4523, 267, 596, 666, 3643, 11628, 15482, 5516, 14878, 321, 657, 2533, 563, 27775, 2105, 7335, 281, 18127, 15310, 8982, 15540, 26225, 12389, 14190, 766, 454, 2691, 1677, 13555, 589, 6481, 12333, 454, 23086, 707, 8502, 1318, 2476, 952, 596, 723, 1022, 540, 519, 1739, 912, 268, 4762, 4288, 610, 21994, 454, 268, 9741, 610, 1100, 10729, 267, 610, 2487, 11926, 543, 2597, 2744, 454, 268, 32438, 540, 31362, 3054, 610, 540, 22867, 11980, 454, 268, 16228, 680, 7134, 8467, 610, 9854, 267, 2523, 952, 596, 849, 723, 513, 8611, 610, 16662, 30102, 2597, 2530, 454, 268, 4790, 11692, 267, 3819, 2960, 267, 2597, 2744, 267, 610, 596, 3112, 20496, 4411, 454, 268, 654, 820, 909, 543, 2887, 1394, 547, 3207, 1082, 2053, 1282, 519, 3781, 454, 268, 10361, 2851, 1419, 454, 268, 3657, 2921, 11955, 267, 11311, 610, 1875, 25535, 8282, 267, 610, 1210, 5061, 602, 949, 2014, 9854, 610, 546, 4900, 1465, 454, 268, 18461, 8909, 610, 20158, 454, 21675, 5673, 593, 519, 2014, 540, 707, 9854, 2589, 563, 2691, 1677, 6423, 589, 16362, 6168, 9861, 570, 1600, 2353, 634, 5384, 454, 4407, 1818, 1978, 6197, 17408, 6545, 1223, 948, 609, 707, 9854, 267, 922, 12691, 547, 798, 1454, 952, 596, 516, 10010, 609, 606, 5817, 1072, 2783, 269, 769, 1346, 3871, 267, 596, 961, 991, 547, 3343, 948, 689, 513, 2564, 3318, 563, 8170, 1576, 267, 602, 666, 581, 16602, 547, 3713, 593, 707, 1378, 269, 1924, 267, 950, 1058, 596, 3343, 2564, 3007, 286, 1403, 9854, 568, 10770, 267, 543, 621, 568, 27200, 3232, 4247, 267, 960, 7607, 267, 610, 12145, 707, 7589, 538, 11791, 2238, 267, 621, 949, 581, 942, 547, 3717, 547, 707, 4387, 267, 3220, 269, 27347, 3081, 563, 5649, 4746, 281, 5871, 15486, 2986, 26184, 15310, 8982, 454, 288, 12192, 2107, 715, 22021, 4347, 11351, 454, 288, 6171, 10638, 267, 971, 607, 711, 3478, 2614, 6171, 667, 610, 6171, 645, 1321, 267, 1223, 2014, 596, 547, 1745, 16094, 13110, 267, 829, 519, 25350, 18669, 269, 1546, 5139, 1674, 666, 723, 519, 1482, 1198, 563, 2791, 1223, 849, 1745, 10393, 25356, 952, 596, 4076, 5063, 3323, 513, 1164, 3491, 12888, 2732, 269, 898, 779, 711, 519, 3940, 3294, 1818, 596, 13110, 267, 855, 519, 3668, 540, 11950, 269, 27275, 569, 28142, 19719, 3123, 707, 1560, 547, 4283, 11337, 2670, 267, 1141, 621, 9397, 1524, 3170, 585, 1648, 267, 829, 519, 25832, 18669, 269, 634, 2427, 2360, 540, 11337, 2670, 1331, 9854, 607, 1134, 607, 15677, 267, 8467, 543, 3983, 7362, 563, 4322, 2427, 2360, 616, 2356, 10151, 267, 855, 952, 11337, 2670, 568, 4929, 707, 6727, 1648, 16154, 267, 596, 949, 1616, 547, 1039, 811, 6775, 11656, 267, 1950, 11950, 547, 707, 2732, 267, 971, 607, 5613, 267, 5388, 543, 2898, 9274, 899, 27046, 22596, 543, 6960, 7573, 269, 634, 26678, 13832, 585, 4892, 4363, 19719, 1118, 909, 476, 3393, 547, 476, 4792, 2600, 540, 707, 2698, 3232, 8477, 563, 20118, 267, 1236, 6235, 6980, 610, 1739, 513, 1360, 1970, 23343, 12929, 2732, 1223, 18682, 707, 1648, 269, 5901, 538, 2247, 602, 1004, 8655, 4775, 693, 4332, 1058, 2057, 4189, 7864, 982, 476, 272, 267, 1220, 8477, 829, 1554, 267, 543, 1004, 8655, 5256, 693, 4332, 1058, 3548, 693, 2547, 476, 272, 267, 4335, 8477, 829, 1554, 267, 2687, 547, 12370, 2657, 14539, 563, 15933, 2353, 25489, 5253, 2271, 16260, 1656, 15310, 8982, 454, 21618, 281, 15310, 8982, 267, 3207, 1465, 267, 4797, 25874, 454, 7212, 1426, 568, 9277, 547, 2285, 596, 1648, 267, 2564, 1382, 5267, 602, 6456, 1426, 703, 11217, 1734, 2443, 610, 11959, 2443, 666, 798, 519, 6587, 269, 769, 1249, 267, 9854, 949, 581, 606, 2038, 9963, 1129, 540, 1426, 22166, 610, 1426, 14711, 269, 595, 27112, 2068, 267, 799, 4523, 950, 596, 18085, 7558, 15347, 267, 949, 849, 2014, 9854, 563, 16485, 707, 4387, 827, 519, 17594, 2732, 269, 901, 568, 513, 2732, 538, 799, 596, 2759, 856, 1978, 3536, 5532, 547, 513, 3099, 540, 2589, 267, 1519, 3207, 1465, 1369, 476, 1015, 547, 476, 1789, 3764, 540, 4189, 873, 267, 585, 513, 1978, 1974, 540, 942, 547, 1294, 952, 602, 2306, 513, 3017, 269, 1411, 666, 849, 2911, 547, 707, 4387, 827, 513, 1426, 14711, 1449, 2443, 610, 1902, 538, 513, 1753, 1449, 971, 607, 9338, 290, 2969, 2443, 799, 949, 948, 596, 2697, 519, 1055, 2056, 3536, 563, 2791, 2904, 6145, 281, 1548, 2052, 20531, 27275, 15310, 8982, 1656, 570, 1600, 1145, 454, 1432, 1772, 570, 1600, 1145, 1299, 15310, 8982, 454, 293, 520, 8982, 568, 29886, 13110, 1145, 610, 25874, 602, 568, 10770, 543, 12145, 269, 2060, 9854, 267, 596, 1995, 32584, 267, 10770, 267, 543, 556, 24593, 2590, 25874, 602, 666, 1745, 2147, 547, 2348, 519, 2770, 543, 7508, 513, 2603, 540, 3207, 269, 15310, 8982, 666, 15936, 609, 707, 2702, 547, 13404, 543, 581, 11327, 693, 960, 610, 547, 1599, 693, 1753, 269, 1411, 949, 581, 1932, 25356, 1256, 547, 4383, 707, 3232, 12602, 563, 293, 520, 8982, 568, 513, 10835, 1945, 596, 666, 1745, 543, 4766, 711, 513, 2783, 610, 513, 2068, 269, 769, 1034, 2665, 267, 972, 568, 513, 2601, 585, 9854, 267, 543, 621, 568, 1271, 547, 1265, 519, 5817, 2014, 547, 4383, 519, 9854, 543, 2087, 8171, 269, 1703, 616, 3875, 2188, 602, 666, 1291, 547, 9854, 267, 1519, 6197, 1644, 3123, 267, 971, 607, 3207, 19717, 610, 606, 5817, 1072, 3390, 267, 971, 607, 4401, 10638, 610, 4965, 269, 1403, 596, 1745, 596, 723, 4191, 540, 9854, 267, 621, 568, 1271, 547, 5077, 707, 4387, 585, 2126, 269, 0, 2026, 513, 2385, 267, 649, 782, 1616, 938, 1453, 547, 581, 3811, 538, 1272, 269, 1284, 616, 519, 3283, 945, 616, 547, 4001, 873, 543, 5965, 873, 585, 1272, 267, 865, 713, 4305, 568, 538, 938, 3946, 269, 2290, 1259, 602, 596, 666, 4001, 707, 1126, 547, 581, 20019, 3811, 568, 547, 4001, 873, 875, 547, 946, 2724, 269, 3509, 3214, 543, 12322, 616, 3946, 593, 6267, 267, 865, 538, 1931, 547, 2965, 4001, 873, 827, 2724, 596, 991, 547, 2322, 930, 538, 741, 3946, 269, 901, 568, 1141, 519, 1434, 10153, 685, 1523, 540, 1450, 1734, 2501, 883, 1404, 563, 1432, 568, 606, 14190, 766, 888, 2467, 568, 513, 5458, 3017, 1063, 2965, 4758, 606, 27108, 267, 543, 1175, 18530, 2724, 547, 513, 4819, 1510, 1022, 30254, 3297, 621, 269, 1879, 594, 729, 513, 4819, 267, 594, 1185, 547, 960, 585, 519, 2370, 2724, 602, 594, 1500, 1472, 519, 2777, 267, 543, 713, 1128, 2683, 513, 960, 2802, 545, 1369, 803, 543, 1500, 803, 8275, 602, 2724, 9327, 1406, 1175, 581, 19942, 547, 803, 269, 1677, 1118, 2386, 602, 596, 1126, 10953, 513, 1434, 960, 2802, 545, 267, 596, 991, 547, 1118, 873, 960, 585, 519, 2724, 602, 789, 7118, 269, 26874, 540, 519, 1650, 281, 3214, 991, 547, 7118, 606, 27108, 267, 543, 711, 1175, 723, 621, 19942, 547, 873, 563, 1692, 13518, 547, 9796, 2659, 8866, 454, 1607, 2339, 568, 11207, 909, 547, 596, 543, 875, 1454, 596, 666, 6488, 547, 2628, 707, 3214, 585, 519, 960, 789, 798, 269, 1403, 596, 666, 1152, 6488, 476, 276, 536, 15085, 513, 3018, 547, 2628, 707, 21717, 267, 1287, 865, 581, 621, 269, 2201, 519, 824, 1688, 952, 596, 666, 6488, 547, 2628, 707, 1126 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2390, 519, 2856, 540, 713, 1373, 513, 2319, 4674, 547, 1294, 952, 789, 666, 798, 621, 2336, 10376, 9251, 518, 1287, 7959, 513, 1978, 5539, 547, 798, 741, 1655, 585, 519, 1434, 540, 519, 1895, 563, 1015, 269, 11109, 8342, 454, 2252, 519, 5048, 568, 968, 15842, 5287, 2223, 20882, 519, 5716, 547, 12837, 267, 14902, 543, 2119, 547, 6432, 811, 5402, 1985, 942, 269, 26361, 782, 3116, 267, 723, 1187, 543, 2972, 519, 1995, 563, 1432, 568, 513, 6153, 17791, 7483, 10794, 1912, 19189, 888, 27039, 593, 707, 1126, 779, 2085, 543, 1620, 267, 3442, 689, 519, 1739, 2010, 540, 15146, 3014, 2453, 585, 3214, 912, 268, 589, 2582, 2262, 585, 519, 21836, 454, 268, 2353, 28375, 610, 1210, 513, 3077, 4484, 3280, 693, 519, 4098, 540, 2582, 1913, 610, 1346, 538, 2453, 454, 268, 2422, 540, 3077, 4992, 693, 519, 1439, 610, 538, 519, 1647, 540, 1913, 454, 268, 26280, 826, 1000, 8651, 602, 3575, 4992, 267, 971, 607, 968, 338, 892, 543, 968, 3333, 892, 12462, 306, 958, 23619, 15798, 17850, 338, 2507, 892, 994, 268, 2422, 540, 5716, 685, 4408, 282, 3214, 2648, 547, 5873, 741, 1378, 4408, 1031, 538, 3756, 454, 268, 589, 1483, 2680, 602, 2965, 5949, 5473, 519, 5716, 454, 268, 8342, 1913, 602, 3214, 2648, 547, 5873, 543, 2161, 281, 968, 2548, 24329, 2223, 968, 743, 617, 7749, 704, 2223, 543, 968, 335, 11170, 9579, 2223, 585, 1383, 454, 268, 634, 4364, 1913, 267, 971, 607, 15437, 267, 3662, 4408, 267, 2470, 1913, 267, 3092, 563, 268, 16842, 6988, 543, 1447, 23440, 540, 2453, 585, 4587, 23021, 454, 268, 4985, 540, 811, 8966, 17205, 267, 13450, 267, 543, 21371, 547, 948, 2333, 6863, 454, 29662, 5287, 17791, 7483, 1912, 29320, 454, 2791, 666, 946, 2110, 610, 1279, 2453, 547, 2253, 519, 3014, 269, 3973, 5873, 519, 7745, 15146, 5220, 7000, 693, 519, 1439, 540, 519, 1899, 610, 5858, 269, 2107, 581, 16990, 569, 14281, 676, 2453, 602, 1118, 621, 547, 519, 1439, 16856, 563, 2080, 616, 930, 3732, 7745, 15146, 5220, 547, 1205, 596, 3323, 912, 268, 634, 16356, 7382, 6585, 513, 1368, 653, 344, 563, 268, 594, 6999, 594, 1185, 513, 4620, 32613, 1807, 563, 268, 6519, 24712, 723, 3039, 267, 555, 1941, 344, 11710, 563, 268, 14210, 6263, 547, 6758, 17696, 2947, 10760, 13733, 563, 268, 589, 19619, 540, 5835, 20397, 18009, 2989, 593, 519, 3349, 563, 268, 3828, 10679, 7381, 1004, 15504, 2490, 2354, 689, 519, 4677, 563, 2080, 568, 513, 1592, 540, 476, 1911, 17791, 7483, 3014, 2453, 563, 763, 7399, 616, 11995, 269, 7844, 519, 5686, 540, 15146, 3014, 5220, 596, 917, 616, 2693, 547, 960, 609, 707, 1453, 563, 2691, 519, 942, 2501, 585, 873, 547, 3442, 1913, 543, 5220, 267, 789, 666, 1246, 707, 1291, 267, 610, 789, 949, 11207, 993, 10270, 596, 2336, 25898, 596, 899, 513, 1032, 540, 2944, 16519, 3917, 537, 267, 4557, 18826, 2238, 547, 4001, 707, 476, 274, 268, 276, 4458, 6040, 998, 1404, 286, 5192, 707, 5299, 540, 519, 4804, 3414, 7591, 11314, 13268, 585, 1152, 1269, 2767, 269, 0, 9989, 10476, 723, 513, 2603, 540, 11396, 888, 13070, 3472, 675, 568, 3810, 11668, 25673, 538, 10476, 267, 543, 1454, 726, 12976, 568, 1869, 2944, 676, 1216, 10889, 14900, 269, 1703, 616, 1082, 24914, 540, 19337, 267, 17310, 267, 543, 20521, 4054, 267, 1034, 540, 873, 1336, 538, 519, 631, 2131, 784, 18232, 543, 519, 7013, 1768, 15869, 4525, 269, 24334, 543, 7401, 616, 6738, 538, 519, 3844, 1164, 4133, 563, 1432, 2600, 540, 10476, 4346, 568, 6683, 888, 763, 3328, 1871, 585, 10476, 1282, 602, 1974, 729, 476, 1839, 269, 1704, 2600, 609, 513, 5934, 540, 476, 1724, 269, 9834, 2600, 538, 476, 1001, 280, 543, 513, 5021, 540, 476, 5379, 269, 274, 2600, 538, 476, 2735, 279, 269, 634, 5767, 1871, 689, 476, 1708, 271, 568, 476, 1691, 269, 5952, 2600, 563, 1432, 6871, 540, 519, 19176, 2551, 1568, 538, 6683, 888, 763, 18802, 2982, 519, 3892, 540, 7694, 538, 10476, 676, 2804, 5823, 689, 476, 1220, 280, 547, 476, 1001, 280, 269, 769, 476, 1001, 280, 267, 476, 4391, 269, 2420, 2600, 540, 519, 5520, 538, 10476, 941, 3742, 538, 519, 6694, 5823, 267, 476, 2767, 269, 4510, 2600, 538, 2872, 543, 476, 3374, 269, 4097, 704, 1417, 538, 519, 3028, 5823, 563, 3674, 10476, 1582, 6190, 538, 1426, 888, 15933, 3354, 538, 10476, 814, 1044, 6353, 609, 1582, 1606, 11211, 1426, 8244, 543, 4824, 1426, 1569, 855, 5667, 15384, 16371, 1426, 13345, 538, 519, 2250, 1296, 269, 853, 1464, 540, 1426, 3354, 568, 13934, 676, 3665, 2916, 2621, 267, 971, 607, 17160, 543, 4049, 26221, 563, 1432, 568, 10476, 779, 7887, 2872, 888, 292, 1595, 344, 540, 10476, 454, 347, 14611, 6080, 1475, 16978, 16361, 267, 12227, 267, 5374, 267, 1426, 4393, 267, 3574, 2872, 267, 19135, 267, 31321, 267, 6174, 267, 7573, 267, 6995, 267, 8732, 515, 9749, 267, 16872, 267, 10448, 543, 9235, 2008, 347, 292, 848, 6361, 1673, 21749, 1532, 5350, 7584, 1475, 3583, 628, 630, 324, 6470, 267, 476, 1001, 278, 10245, 347, 2750, 7964, 28390, 23310, 269, 275, 5479, 630, 1001, 279, 1609, 4700, 2008, 1432, 568, 519, 1034, 1455, 2816, 538, 10476, 888, 1103, 476, 1708, 271, 267, 3592, 476, 1704, 269, 10463, 2929, 1004, 5249, 538, 519, 6683, 267, 26216, 267, 543, 10068, 5823, 538, 10476, 267, 1818, 713, 5823, 519, 4102, 16108, 1851, 782, 6080, 269, 1635, 6476, 267, 519, 5663, 2872, 6964, 5111, 476, 1556, 269, 274, 2929, 1004, 267, 519, 2034, 3620, 580, 4554, 1297, 540, 6964, 2551, 602, 1032, 269, 0, 7804, 1508, 3574, 32024, 22534, 693, 5556, 563, 21292, 281, 10794, 5017, 267, 15246, 267, 3574, 32024, 267, 4104, 9249, 267, 4104, 21426, 267, 10122, 267, 1604, 267, 18883, 267, 28816, 8134, 563, 20082, 763, 2025, 2757, 1235, 30107, 540, 519, 17028, 7458, 834, 7804, 1508, 8381, 32024, 1744, 334, 1824, 257, 693, 5556, 11206, 543, 621, 568, 1631, 7168, 1134, 7608, 602, 621, 568, 519, 1152, 835, 540, 1022, 4644, 538, 2342, 269, 634, 9141, 3574, 32024, 9496, 568, 1362, 539, 607, 519, 1034, 23242, 540, 782, 22534, 269, 634, 5556, 22534, 267, 2356, 540, 3670, 2395, 8653, 267, 538, 2038, 5412, 543, 3735, 5130, 267, 723, 2141, 1044, 9833, 607, 23242, 267, 1514, 543, 11706, 2621, 269, 18766, 689, 741, 3768, 15804, 23242, 2460, 267, 741, 1514, 2427, 814, 2141, 1044, 1271, 538, 519, 1272, 540, 519, 25013, 2146, 540, 519, 1858, 269, 769, 519, 3735, 1000, 550, 625, 267, 519, 19412, 2906, 267, 585, 2906, 543, 1256, 6957, 2906, 267, 2199, 3885, 31030, 593, 519, 5412, 9496, 585, 602, 1412, 31138, 262, 585, 519, 8285, 12129, 3349, 269, 634, 5130, 856, 532, 729, 16941, 2390, 585, 519, 11865, 540, 513, 6292, 540, 10887, 610, 7654, 585, 606, 6221, 540, 21354, 2877, 7802, 269, 634, 22534, 941, 17386, 11706, 7389, 538, 519, 1858, 543, 835, 1869, 30650, 540, 1412, 7945, 543, 971, 262, 513, 3364, 8345, 834, 29592, 519, 1101, 9496, 257, 610, 834, 3286, 1310, 519, 5130, 9496, 8487, 1692, 547, 25737, 454, 290, 2086, 10428, 267, 623, 269, 630, 2735, 275, 1040, 3220, 1508, 3574, 32024, 22534, 693, 5556, 269, 9721, 32645, 269, 8158, 689, 4179, 2517, 329, 16067, 4732, 1539, 1214, 1993, 597, 880, 1150, 9094, 269, 773, 27651, 21703, 270, 1150, 2722, 270, 14835, 270, 1613, 270, 4817, 275, 276, 0, 274, 7160, 540, 16589, 267, 519, 2696, 540, 5771, 1336, 538, 519, 17048, 563, 347, 13750, 618, 1475, 26877, 755, 3603, 609, 11147, 5697, 676, 19468, 29029, 11511, 697, 517, 543, 519, 2278, 2008, 347, 9448, 4147, 5874, 1475, 21990, 14065, 1547, 293, 276, 2008, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 13893, 2008, 1103, 5771, 267, 2696, 568, 519, 6207, 835, 267, 519, 782, 27703, 995, 543, 782, 268, 3104, 532, 14610, 540, 519, 7122, 267, 543, 519, 17082, 540, 3388, 538, 6228, 269, 5771, 11363, 602, 2696, 568, 14553, 13737, 282, 2189, 282, 20244, 2290, 282, 543, 849, 782, 268, 1067, 322, 3814, 543, 9631, 30876, 582, 550, 269, 4340, 547, 5771, 267, 2696, 568, 9444, 513, 1570, 6862, 513, 5289, 1373, 269, 4340, 547, 9099, 10752, 267, 3564, 519, 28202, 821, 543, 2687, 547, 519, 1547, 1280, 519, 4324, 540, 3988, 267, 930, 1271, 9099, 2474, 616, 6045, 2630, 269, 16589, 269, 16589, 568, 519, 2123, 2012, 540, 2696, 538, 5771, 269, 1677, 1397, 1697, 26871, 268, 775, 585, 13924, 267, 519, 12356, 1419, 1039, 19248, 685, 8403, 267, 519, 4107, 4400, 267, 950, 6031, 3571, 10513, 2012, 269, 1520, 7315, 269, 11910, 585, 6101, 9099, 27302, 269, 13259, 24703, 12011, 5984, 7332, 7991, 269, 7991, 540, 12356, 945, 723, 17572, 12025, 281, 476, 273, 11586, 563, 5591, 835, 6487, 875, 1082, 2835, 16589, 2366, 547, 721, 269, 898, 568, 2009, 602, 16589, 949, 723, 2366, 7366, 540, 11240, 725, 602, 941, 4503, 936, 942, 269, 3371, 616, 930, 2835, 602, 1034, 1004, 917, 827, 543, 5601, 6494, 547, 891, 28556, 269, 570, 1177, 7806, 1107, 4053, 320, 630, 300, 4680, 1070, 4708, 536, 269, 16589, 543, 519, 5601, 540, 519, 6426, 16589, 568, 2356, 2219, 547, 1611, 968, 1492, 5601, 892, 630, 531, 268, 559, 1695, 264, 538, 12428, 543, 568, 4440, 26256, 622, 609, 2864, 982, 6508, 689, 519, 8191, 281, 18332, 11709, 14216, 918, 5766, 339, 563, 5472, 1695, 12411, 639, 2696, 267, 5771, 12411, 639, 7225, 324, 334, 268, 22146, 640, 630, 763, 5771, 648, 531, 626, 10022, 3883, 476, 273, 264, 910, 28632, 7160, 676, 1234, 2714, 267, 9410, 267, 1234, 2714, 267, 4793, 878, 807, 269, 8281, 621, 2899, 543, 1224, 621, 593, 707, 28632, 3926, 267, 7193, 267, 11436, 610, 14342, 269, 2422, 2934, 899, 1433, 12201, 267, 4063, 2921, 543, 10223, 1247, 2542, 16589, 12411, 639, 2696, 267, 5771, 12411, 639, 7225, 324, 334, 268, 22146, 640, 630, 763, 5771, 648, 531, 626, 10022, 3883, 476, 273, 8358, 276, 263, 273, 1040, 901, 568, 1317, 834, 3201, 6369, 295, 257, 568, 519, 1152, 2262, 538, 519, 12428, 1893, 6697, 547, 519, 2296, 2262, 834, 18661, 2668, 3958, 267, 519, 2262, 834, 3201, 6369, 295, 257, 27114, 27237, 581, 1500, 12683, 610, 2016, 513, 4008, 267, 799, 4422, 1688, 538, 1688, 609, 519, 9099, 1523, 540, 2696, 269, 1403, 649, 941, 547, 946, 519, 2012, 2696, 267, 621, 666, 581, 1500, 883, 726, 584, 1023, 543, 2016, 4008, 267, 1775, 4318, 269, 5601, 781, 267, 15831, 267, 3092, 563, 305, 17892, 543, 519, 4639, 896, 22255, 514, 543, 23237, 454, 3383, 2812, 540, 519, 21696, 12187, 9351, 267, 3703, 12052, 563, 307, 21033, 26495, 1023, 540, 32527, 520, 3832, 9774, 3487, 476, 277, 454, 572, 1597, 5485, 571, 906, 2433, 1007, 4030, 454, 743, 334, 3563, 543, 519, 3632, 12818, 563, 19111, 1505, 538, 5399, 2069, 543, 538, 28129, 2866, 563, 763, 26935, 1235, 1909, 538, 9862, 2168, 2069, 454, 7476, 547, 513, 3873, 2336, 310, 558, 839, 29053, 6009, 538, 29647, 1606, 13610, 1201, 514, 7685, 4429, 19187, 2906, 540, 13339, 563, 290, 1162, 543, 10049, 593, 4139, 4521, 454, 301, 8283, 5201, 543, 11418, 2866, 3126, 563, 23208, 17250, 543, 3652, 543, 6042, 454, 1607, 1433, 3091, 834, 338, 3263, 257, 540, 1018, 519, 31471, 26663, 814, 2813, 281, 938, 3237, 14088, 543, 18832, 267, 519, 795, 514, 985, 630, 2102, 625, 1070, 9045, 753, 543, 1629, 976, 267, 519, 23109, 543, 513, 2824, 1895, 540, 3571, 28556, 543, 3190, 12310, 269, 898, 849, 3568, 513, 1382, 827, 519, 834, 4200, 5900, 1026, 2373, 540, 2696, 257, 607, 22885, 676, 519, 13794, 540, 519, 9099, 5132, 563, 10376, 540, 891, 5900, 1026, 2373, 568, 5941, 538, 1469, 269, 276, 270, 276, 263, 273, 1040, 16589, 519, 2696, 540, 5771, 10434, 16225, 1107, 676, 23509, 6307, 674, 3558, 630, 12041, 1070, 16071, 630, 26877, 755, 15249, 264, 6423, 782, 476, 274, 12043, 543, 21820, 31674, 824, 12043, 543, 21820, 563, 25820, 1715, 689, 13242, 689, 10434, 16225, 834, 8923, 1427, 787, 257, 2443, 8191, 281, 23509, 6307, 674, 3558, 269, 901, 568, 606, 21626, 689, 1250, 1433, 11331, 9338, 6369, 295, 281, 5990, 12164, 4753, 8976, 5508, 717, 7495, 5442, 4959, 299, 4456, 799, 2965, 568, 1631, 538, 1079, 1804, 5292, 6979, 607, 3370, 676, 8191, 5264, 269, 901, 568, 835, 540, 1250, 1655, 2835, 267, 952, 711, 519, 1360, 1655, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13858, 2470, 540, 22720, 311, 14964, 543, 922, 8561, 593, 5876, 267, 5578, 267, 543, 4250, 16531, 723, 1500, 621, 606, 11972, 5172, 1851, 1762, 3988, 540, 11174, 5708, 269, 901, 1576, 1770, 12538, 883, 519, 1158, 540, 22720, 311, 14964, 538, 11174, 5708, 1247, 10223, 922, 4644, 538, 4207, 2528, 269, 1284, 786, 2263, 875, 4589, 946, 22720, 311, 14964, 607, 513, 5339, 3926, 547, 6655, 4798, 971, 607, 16177, 267, 1582, 22523, 267, 543, 11505, 269, 3958, 267, 649, 786, 4983, 519, 3140, 2796, 540, 22720, 311, 14964, 267, 922, 1764, 593, 6107, 23658, 11857, 267, 543, 922, 1761, 9354, 2640, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 1058, 723, 513, 4514, 7071, 585, 519, 26274, 3297, 22720, 311, 14964, 543, 922, 6041, 538, 3332, 780, 2862, 269, 8466, 12745, 540, 22720, 311, 681, 4575, 692, 2414, 1174, 22720, 311, 781, 2686, 4644, 4628, 267, 649, 1590, 1101, 4983, 922, 8129, 269, 769, 519, 2038, 476, 3192, 271, 338, 267, 1453, 3459, 900, 6819, 2138, 665, 1484, 14797, 1210, 741, 30158, 607, 2306, 31183, 5179, 31260, 269, 1452, 791, 668, 696, 340, 2621, 3576, 1747, 538, 13897, 13475, 543, 2838, 5171, 547, 6330, 9465, 971, 607, 26357, 543, 10874, 916, 269, 1306, 1719, 538, 891, 2621, 8057, 267, 865, 1705, 519, 991, 585, 811, 6101, 1242, 19194, 269, 9182, 267, 3906, 899, 519, 1977, 645, 5390, 2193, 5948, 7153, 267, 3246, 2497, 543, 26117, 547, 519, 24567, 7328, 269, 4653, 267, 22720, 311, 17040, 3788, 606, 16727, 9015, 267, 9160, 532, 922, 4567, 607, 513, 15197, 18942, 13287, 780, 7656, 269, 22720, 311, 4427, 322, 11857, 543, 15272, 14740, 692, 9961, 922, 1686, 267, 22720, 311, 814, 1044, 5702, 2404, 609, 1585, 6107, 23658, 30743, 269, 4706, 15141, 1190, 3239, 543, 10333, 4300, 4705, 547, 771, 523, 325, 13361, 2213, 10708, 5275, 4244, 3029, 540, 4082, 543, 1514, 4276, 269, 1280, 1082, 1762, 1004, 267, 3226, 1346, 2713, 538, 4683, 5054, 267, 22720, 311, 3177, 606, 17752, 585, 5876, 543, 1981, 23824, 28998, 11992, 269, 5015, 267, 22720, 311, 2950, 27838, 23274, 543, 17604, 267, 7175, 12790, 2043, 547, 1265, 10362, 543, 3483, 1369, 513, 11215, 3060, 780, 4353, 269, 634, 8427, 11588, 540, 22720, 311, 681, 4575, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 288, 1007, 10554, 799, 11394, 547, 5352, 513, 7104, 5639, 585, 7814, 1235, 538, 519, 3345, 3887, 770, 568, 1305, 547, 1491, 1747, 1985, 3923, 563, 763, 22305, 1116, 2680, 267, 18799, 676, 6237, 3560, 11450, 29321, 4920, 267, 786, 1865, 519, 1646, 540, 513, 1007, 1895, 602, 786, 2099, 543, 2285, 3760, 547, 513, 3838, 5639, 585, 15203, 4690, 2066, 519, 1858, 563, 15411, 547, 7814, 1235, 543, 27503, 7814, 1235, 540, 782, 2157, 540, 6015, 543, 1995, 267, 519, 2680, 786, 4183, 1896, 2110, 14245, 543, 519, 4316, 547, 2232, 519, 10296, 2152, 543, 17050, 585, 2199, 7814, 1235, 563, 301, 652, 4920, 17348, 267, 6076, 322, 650, 528, 8834, 14803, 1803, 1767, 267, 968, 290, 5670, 532, 5170, 547, 581, 5051, 2442, 2066, 519, 3345, 3887, 770, 543, 607, 513, 1267, 540, 602, 15131, 267, 513, 3984, 540, 15203, 5829, 4213, 267, 1347, 885, 267, 15731, 267, 2516, 543, 14540, 4867, 2291, 269, 1548, 713, 2680, 11394, 547, 798, 568, 3142, 782, 540, 1346, 1004, 1927, 896, 835, 8122, 547, 1865, 2152, 267, 2093, 543, 9283, 269, 24613, 4464, 267, 519, 1007, 1895, 786, 2285, 7814, 1235, 513, 11347, 543, 4073, 324, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 11846, 1299, 28046, 1315, 20676, 532, 1315, 22720, 311, 681, 4575, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 15306, 25315, 753, 910, 634, 17714, 540, 21988, 29661, 630, 30696, 532, 593, 932, 760, 28150, 525, 2020, 7072, 1384, 1103, 2221, 781, 3728, 19550, 1158, 267, 2029, 814, 1831, 606, 1898, 2460, 540, 938, 2729, 269, 19992, 1169, 3811, 4062, 540, 2029, 6763, 606, 1367, 610, 2319, 602, 546, 1563, 547, 1491, 519, 1101, 1900, 2509, 16734, 741, 5075, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 9159, 3460, 540, 11639, 945, 723, 1500, 1713, 7418, 547, 519, 10509, 2872, 1247, 10223, 3344, 540, 12092, 543, 26249, 540, 3638, 543, 4583, 5515, 899, 932, 760, 28150, 525, 269, 1284, 786, 2263, 741, 18454, 267, 14286, 267, 543, 519, 3407, 4030, 789, 6591, 998, 741, 2833, 780, 4089, 476, 272, 281, 28304, 26861, 8163, 543, 14171, 24093, 692, 22209, 7651, 2720, 1222, 1419, 3322, 25884, 9465, 543, 8508, 4220, 269, 901, 3296, 786, 1445, 593, 2984, 540, 16177, 267, 6043, 267, 543, 8990, 7152, 676, 10509, 5707, 753, 971, 607, 19378, 22868, 267, 9291, 27176, 267, 4432, 517, 30073, 267, 543, 4460, 2098, 27462, 6199, 269, 3414, 891, 6386, 267, 649, 2832, 547, 8300, 1053, 547, 9772, 2147, 8186, 1115, 950, 13197, 741, 3853, 780, 2690, 3236, 267, 2015, 932, 760, 28150, 525, 267, 1071, 1922, 10133, 540, 13804, 16288, 23467, 7258, 1010, 7385, 11835, 13860, 269, 6969, 8236, 21239, 998, 670, 28566, 309, 781, 2442, 1397, 674, 1460, 518, 16592, 267, 932, 760, 5185, 3875, 22303, 2429, 1010, 4876, 269, 1261, 8843, 554, 559, 13895, 2943, 16367, 2984, 827, 1010, 2038, 26136, 267, 1519, 11067, 6517, 693, 2085, 12964, 267, 9513, 17494, 585, 10068, 536, 7159, 267, 543, 22745, 1896, 8959, 4213, 269, 1452, 8941, 1683, 2796, 543, 6667, 585, 14971, 11639, 267, 10771, 602, 5821, 1281, 711, 1226, 622, 547, 14710, 282, 3079, 267, 621, 5713, 607, 513, 19480, 6149, 4724, 2104, 10781, 780, 4089, 476, 273, 281, 16497, 3231, 2740, 3245, 23299, 692, 293, 19691, 2488, 3255, 585, 2208, 543, 1582, 21553, 2889, 22777, 269, 1635, 6313, 8320, 1141, 7986, 11639, 535, 5306, 1229, 267, 1053, 666, 9787, 4105, 1983, 2556, 585, 10188, 2591, 1369, 741, 1378, 11678, 780, 290, 1222, 28150, 525, 28837, 713, 1523, 9985, 269, 3571, 18515, 547, 2671, 1010, 3765, 25074, 1107, 689, 9561, 2724, 1813, 547, 4057, 2883, 2359, 547, 10010, 609, 4509, 3347, 9624, 3318, 13800, 1107, 9727, 602, 3025, 13341, 7965, 269, 1717, 267, 1018, 5036, 3811, 2043, 6306, 568, 741, 2702, 547, 1451, 689, 2250, 9073, 543, 3082, 9935, 269, 1280, 1383, 267, 1310, 7680, 2789, 1870, 14286, 267, 932, 760, 15568, 1010, 1935, 547, 20835, 267, 3384, 1732, 3375, 6194, 3157, 543, 5355, 2792, 9055, 609, 4891, 780, 4089, 476, 274, 281, 8490, 16200, 30581, 543, 16890, 4721, 692, 288, 1883, 3815, 7700, 547, 1022, 3919, 781, 1967, 6013, 538, 922, 1004, 269, 4980, 22899, 2178, 6887, 543, 12352, 6087, 3549, 547, 8853, 538, 8013, 6990, 269, 4841, 786, 4983, 2013, 2090, 5473, 9565, 21769, 1063, 12021, 11639, 543, 741, 9757, 13413, 780, 20751, 519, 7706, 540, 1753, 6454, 8613, 267, 1906, 5918, 657, 616, 607, 11599, 607, 932, 760, 543, 11835, 13860, 28150, 525, 269, 4256, 2189, 6422, 1107, 9256, 932, 760, 781, 15131, 585, 23542, 819, 543, 4070, 609, 11835, 13860, 781, 16994, 3750, 585, 1374, 1107, 2813, 513, 3532, 5348, 1458, 602, 4412, 8215, 873, 547, 588, 731, 558, 269, 10801, 13317, 28150, 525, 267, 932, 760, 8711, 1585, 2994, 6964, 547, 7794, 741, 6125, 267, 1312, 13948, 543, 24015, 269, 6201, 1331, 4259, 2312, 6788, 267, 5807, 1930, 5188, 267, 14120, 24984, 1927, 267, 543, 4687, 5539, 1282, 4101, 2053, 780, 6962, 1384, 1607, 3184, 6322, 547, 8774, 1769, 593, 519, 4241, 15322, 540, 10509, 5707, 753, 267, 1210, 932, 760, 28150, 525, 607, 513, 6305, 1383, 269, 1635, 3695, 3584, 971, 607, 20408, 9465, 267, 1565, 689, 5821, 267, 543, 2679, 2500, 6887, 267, 1053, 2744, 2565, 4030, 10858, 2066, 3309, 6080, 269, 11086, 267, 519, 4245, 3838, 4196, 607, 23106, 602, 1967, 3340, 11428, 267, 18094, 267, 543, 513, 18515, 547, 9784, 10462, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27319, 12085, 594, 3231, 2740, 23560, 853, 1575, 573, 853, 4428, 454, 4002, 22312, 281, 476, 1001, 278, 268, 1015, 268, 1704, 454, 763, 1034, 1271, 1900, 568, 2921, 519, 1101, 835, 269, 13317, 28150, 525, 568, 519, 3501, 1433, 585, 4896, 3168, 547, 8011, 711, 1152, 538, 1870, 855, 811, 11932, 538, 1272, 563, 10666, 519, 3883, 454, 301, 1551, 730, 676, 932, 760, 2336, 763, 1034, 1271, 1900, 568, 519, 1101, 835, 269, 667, 633, 883, 932, 760, 28150, 525, 685, 2123, 1404, 1504, 543, 1376, 1565, 875, 547, 8011, 538, 1870, 11652, 538, 1272, 269, 589, 1715, 3840, 8648, 267, 7330, 4653, 267, 9931, 9335, 4750, 267, 543, 21629, 779, 28315, 1655, 31805, 2336, 763, 16168, 543, 16805, 932, 760, 28150, 525, 568, 1134, 1634, 607, 519, 5182, 540, 670, 28566, 309, 779, 674, 1460, 518, 16592, 267, 607, 1134, 607, 513, 22058, 566, 4274, 267, 1655, 18522, 2278, 267, 9393, 547, 11835, 13860, 267, 543, 4651, 540, 2947, 538, 654, 23147, 267, 7147, 269, 1809, 1279, 1354, 519, 1158, 3576, 5469, 267, 932, 760, 729, 513, 17626, 16724, 945, 729, 2141, 4712, 585, 519, 1985, 4161, 267, 1256, 952, 621, 4769, 1406, 3833, 960, 856, 607, 9709, 563, 22479, 1388, 28150, 525, 3091, 596, 513, 14034, 728, 10160, 607, 932, 760, 882, 1161, 930, 540, 1010, 6159, 345, 5006, 1884, 923, 543, 519, 4245, 4121, 2059, 519, 1259, 267, 2854, 609, 932, 760, 779, 22028, 9644, 563, 296, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24728, 25315, 753, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 6762, 1299, 25587, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 1576, 1770, 782, 827, 875, 1514, 2923, 666, 948, 721, 1831, 1732, 5830, 256, 1411, 1522, 946, 1514, 2923, 547, 10004, 609, 2828, 610, 2671, 16168, 7044, 267, 855, 1705, 596, 917, 602, 621, 666, 849, 581, 1031, 547, 2087, 707, 1603, 1983, 286, 2334, 781, 1318, 1107, 676, 1210, 1514, 2923, 538, 513, 2027, 1259, 267, 596, 666, 1451, 547, 2328, 1256, 1732, 982, 1354, 2439, 5575, 267, 1577, 781, 2911, 827, 1018, 834, 332, 12089, 2173, 1712, 1565, 257, 1797, 269, 901, 1175, 4016, 547, 9256, 1114, 2081, 540, 1565, 1927, 267, 899, 2542, 2835, 267, 8384, 7044, 267, 543, 3257, 3946, 6823, 2238, 269, 1879, 649, 3575, 891, 1919, 609, 2029, 543, 1514, 2923, 267, 649, 1711, 513, 1187, 543, 7317, 1259, 547, 1451, 2439, 3086, 267, 596, 1522, 581, 11842, 267, 834, 1692, 1281, 1514, 2923, 948, 803, 1831, 513, 1732, 5856, 8119, 4270, 267, 972, 781, 1945, 1572, 834, 1345, 15696, 4327, 1565, 2437, 799, 1797, 2921, 5279, 540, 707, 1378, 1565, 269, 2060, 1514, 2923, 267, 596, 1205, 547, 3442, 950, 267, 1141, 267, 543, 875, 596, 2259, 707, 1603, 1983, 269, 898, 781, 2186, 540, 899, 1373, 519, 20148, 540, 707, 1378, 1565, 2439, 9202, 909, 568, 834, 9071, 714, 11703, 4058, 1701, 5213, 1405, 5855, 952, 596, 1810, 1405, 1174, 602, 2262, 2943, 282, 621, 4992, 7294, 267, 855, 621, 781, 2965, 7168, 2241, 2899, 649, 2736, 621, 1524, 269, 5994, 9544, 513, 6079, 538, 519, 2666, 1107, 693, 1101, 267, 596, 1810, 1405, 1294, 1454, 8345, 267, 855, 4166, 2614, 267, 5072, 1376, 3395, 538, 1169, 4287, 267, 4543, 519, 2030, 1332, 6793, 269, 10910, 714, 11703, 4058, 1568, 538, 513, 2147 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6546, 799, 568, 547, 581, 2944, 568, 547, 581, 2944, 2223, 543, 281, 968, 763, 1434, 568, 606, 1439, 4502, 13197, 1848, 590, 1068, 650, 5190, 267, 1566, 269, 3632, 269, 24101, 571, 4063, 476, 2004, 267, 693, 476, 9083, 267, 476, 11820, 563, 6624, 824, 4589, 1223, 581, 11855, 281, 552, 3052, 1421, 21862, 839, 267, 1566, 269, 3632, 269, 24101, 571, 4063, 476, 279, 267, 693, 476, 1960, 269, 1358, 6999, 547, 1397, 602, 519, 1101, 6240, 2731, 568, 513, 5168, 267, 602, 621, 2731, 568, 1582, 17272, 1211, 269, 901, 7287, 5012, 873, 547, 7340, 602, 789, 616, 7231, 609, 513, 840, 1061, 267, 543, 865, 789, 2119, 547, 1521, 519, 1101, 6240, 540, 4052, 2601, 607, 952, 621, 941, 7811, 269, 1358, 11716, 519, 15116, 1915, 540, 4052, 5168, 543, 789, 2308, 606, 16283, 10206, 540, 1582, 17272, 2064, 269, 1703, 568, 513, 3586, 12402, 547, 2569, 4052, 5168, 547, 519, 811, 5432, 7811, 5168, 543, 547, 1589, 540, 896, 643, 1464, 607, 952, 621, 941, 3274, 513, 2339, 540, 12497, 3961, 269, 1452, 1482, 7965, 896, 12340, 3057, 527, 664, 779, 4674, 547, 1521, 519, 3119, 840, 1061, 607, 513, 5168, 2556, 676, 16495, 540, 519, 2392, 6510, 779, 10014, 540, 519, 4111, 2225, 540, 519, 1641, 2864, 982, 519, 9258, 269, 3026, 18860, 682, 9809, 976, 1147, 8350, 18765, 6566, 328, 11726, 637, 632, 3288, 9158, 773, 27907, 630, 13640, 529, 267, 476, 4198, 272, 1070, 476, 15647, 1700, 8182, 563, 11321, 527, 664, 17767, 602, 968, 529, 547, 581, 892, 3112, 581, 6508, 689, 519, 2495, 540, 968, 16591, 892, 676, 2079, 269, 15154, 602, 519, 4052, 6240, 1590, 581, 6697, 547, 513, 7811, 5168, 267, 646, 5267, 602, 519, 6587, 2078, 3489, 338, 269, 634, 7811, 1915, 540, 519, 6240, 585, 3057, 527, 664, 568, 15091, 676, 1010, 1101, 19862, 540, 621, 607, 513, 21042, 9713, 6240, 10858, 547, 782, 1434, 543, 782, 2962, 269, 8307, 2034, 3320, 1281, 646, 2015, 621, 513, 5837, 6240, 10858, 547, 1480, 1434, 543, 1863, 2962, 269, 634, 3017, 1063, 519, 1079, 30422, 568, 1152, 538, 892, 519, 1543, 2808, 267, 711, 693, 782, 538, 519, 7154, 540, 11407, 563, 769, 5391, 4592, 2802, 545, 28262, 740, 17880, 6729, 636, 267, 5391, 269, 476, 272, 267, 7898, 269, 476, 272, 563, 590, 11053, 269, 476, 272, 267, 7117, 269, 476, 8064, 267, 513, 269, 476, 1556, 267, 740, 476, 273, 281, 968, 30606, 636, 6457, 639, 1316, 545, 328, 1609, 13755, 636, 3921, 514, 629, 850, 740, 1566, 639, 267, 1016, 32311, 324, 2357, 328, 3034, 25592, 573, 269, 693, 740, 476, 272, 563, 590, 11053, 269, 476, 272, 268, 273, 267, 7117, 269, 476, 3445, 267, 513, 269, 476, 272, 267, 740, 476, 273, 563, 25592, 573, 269, 693, 7117, 269, 476, 10844, 267, 513, 269, 476, 273, 267, 524, 563, 25592, 573, 269, 693, 7117, 269, 476, 1704, 267, 513, 269, 476, 272, 563, 25592, 573, 269, 693, 7117, 269, 476, 3445, 267, 513, 269, 476, 272, 267, 6822, 15333, 267, 740, 476, 274, 282, 7117, 269, 476, 11011, 267, 513, 269, 476, 273, 267, 740, 476, 273, 269, 1809, 891, 8100, 1058, 711, 581, 2016, 1932, 1454, 2597, 267, 2094, 789, 3277, 547, 519, 2376, 5892, 11855, 538, 799, 519, 11984, 568, 1500, 12799, 269, 4014, 7440, 1759, 593, 1018, 519, 1257, 1281, 711, 2161, 616, 5906, 267, 621, 568, 4502, 711, 6005, 602, 13985, 21590, 1281, 711, 5581, 1876, 607, 606, 16122, 585, 519, 1455, 1434, 267, 607, 646, 3362, 1223, 723, 2944, 952, 602, 941, 1010, 10206, 267, 855, 607, 606, 3921, 12099, 540, 2601, 585, 519, 1455, 1434, 3092, 269, 16740, 269, 693, 7117, 269, 476, 3445, 267, 513, 269, 476, 275, 267, 524, 563, 744, 685, 10673, 26710, 826, 630, 641, 269, 3632, 269, 24101, 571, 4063, 476, 2641, 264, 13290, 547, 12172, 713, 1448, 267, 543, 1281, 538, 1249, 948, 14320, 4724, 519, 8851, 540, 31495, 13133, 725, 269, 12846, 267, 1010, 960, 568, 6825, 676, 513, 3765, 24483, 540, 4052, 2601, 267, 865, 602, 840, 1061, 568, 1226, 730, 609, 16122, 630, 335, 269, 476, 4817, 264, 543, 786, 568, 5189, 538, 519, 7778, 540, 519, 5912, 689, 3069, 547, 2259, 267, 630, 335, 269, 476, 6200, 264, 10787, 22641, 630, 641, 269, 3632, 269, 24101, 571, 4063, 476, 2412, 1070, 676, 513, 2407, 543, 6297, 6476, 540, 13985, 21590, 779, 543, 2672, 732, 345, 779, 6436, 540, 2067, 1876, 267, 5587, 5809, 519, 1898, 1448, 1360, 1134, 267, 1510, 11021, 602, 2067, 1876, 568, 1480, 9086, 267, 607, 744, 685, 10673, 26710, 826, 4667, 547, 1589, 563, 634, 1448, 814, 1044, 1454, 23503, 5103, 519, 9355, 540, 13985, 21590, 779, 2990, 602, 2067, 1876, 3741, 616, 1582, 17272, 1211, 282, 21862, 839, 267, 1566, 269, 3632, 269, 24101, 571, 4063, 476, 279, 267, 693, 476, 1001, 267, 562, 269, 476, 2537, 267, 2488, 930, 15853, 563, 661, 4156, 1876, 568, 968, 1492, 12013, 541, 540, 10143, 7326, 267, 607, 28068, 782, 3527, 543, 5322, 892, 540, 2813, 1919, 538, 741, 3356, 4724, 741, 1439, 269, 590, 11053, 269, 476, 272, 268, 273, 267, 7117, 269, 476, 11152, 267, 513, 269, 476, 272, 267, 524, 269, 8409, 945, 19955, 13985, 21590, 779, 3069, 1419, 3100, 547, 8263, 267, 607, 952, 621, 941, 6654, 267, 602, 1876, 568, 513, 23644, 2962, 540, 606, 3608, 2014, 9308, 3001, 12809, 3615, 282, 585, 13985, 21590, 267, 1876, 2141, 12851, 547, 2601, 267, 568, 2760, 2808, 606, 3608, 2014, 267, 543, 3112, 7654, 2165, 3729, 538, 5163, 269, 1635, 741, 5163, 543, 1964, 267, 6410, 3615, 7119, 538, 519, 19870, 540, 8069, 267, 855, 513, 3361, 1931, 2535, 919, 538, 519, 12013, 541, 540, 922, 19870, 676, 1106, 543, 519, 4539, 540, 1106, 1765, 935, 25119, 971, 607, 31007, 267, 2601, 267, 543, 519, 840, 32383, 540, 4052, 2601, 269, 6423, 10787, 22641, 267, 1566, 269, 3632, 269, 24101, 571, 4063, 476, 2412, 267, 693, 669, 269, 476, 275, 267, 17611, 269, 6032, 269, 476, 7176, 1700, 9818, 563, 590, 11053, 269, 476, 272, 267, 7117, 269, 476, 11025, 267, 513, 269, 476, 275, 267, 740, 476, 274, 563, 8111, 8644, 4592, 13329, 550, 3511, 636, 8891, 686, 700, 4861, 31651, 267, 536, 330, 269, 476, 275, 267, 546, 269, 476, 3451, 267, 7117, 269, 476, 272, 267, 513, 269, 476, 272, 267, 740, 476, 280, 563, 25592, 573, 269, 693, 536, 330, 269, 476, 273, 267, 546, 269, 476, 4375, 267, 7117, 269, 476, 273, 267, 513, 269, 476, 273, 267, 740, 476, 273, 563, 1546, 1850, 756, 639, 267, 4083, 269, 278, 282, 10787, 22641, 267, 1566, 269, 3632, 269, 24101, 571, 4063, 476, 2412, 267, 693, 476, 15704, 1700, 14028, 269, 4634, 5140, 2487, 3705, 1562, 540, 13985, 21590, 4043, 547, 22771, 585, 519, 23019, 1915, 789, 14487, 547, 519, 1101, 6240, 540, 4052, 2601, 676, 10962, 606, 957, 540, 938, 786, 607, 513, 3815, 538, 938, 1028, 550, 547, 621, 269, 700, 2714, 514, 267, 585, 1383, 267, 21356, 1010, 10206, 602, 649, 1101, 1028, 550, 547, 519, 3119, 6240, 607, 547, 513, 7811, 5168, 609, 519, 10206, 602, 649, 6368, 1028, 550, 547, 621, 609, 513, 9844, 540, 519, 786, 269, 8307, 1863, 10343, 2306, 519, 840, 1061, 4628, 1766, 894, 269, 630, 28926, 269, 3632, 269, 24101, 571, 4063, 476, 6321, 267, 693, 476, 2190, 4700, 4634, 865, 4977, 513, 6085, 1807, 607, 21862, 839, 12857, 519, 31007, 540, 519, 786, 607, 513, 2666, 585, 519, 1095, 20696, 3196, 540, 519, 1101, 6240, 269, 630, 28926, 269, 3632, 269, 24101, 571, 4063, 476, 279, 267, 693, 476, 1708, 1700, 10711, 281, 968, 763, 6457, 28107, 713, 5168, 18005, 267, 543, 12981, 621, 607, 3020, 267, 585, 922, 1378, 22556, 568, 2938, 547, 2874, 538, 513, 29077, 547, 519, 2067, 1843, 543, 31007, 540, 519, 786, 1848, 994, 14956, 269, 3632, 269, 24101, 571, 4063, 476, 1556, 267, 693, 476, 8287, 1700, 6924, 563, 31996, 517, 25816, 651, 267, 968, 20332, 4521, 267, 774, 558, 1143, 11652, 7905, 715, 1408, 11420, 2223, 7849, 4521, 17072, 476, 276, 630, 3422, 271, 2567, 476, 14093, 1700, 15686, 267, 538, 851, 814, 973, 6847, 547, 713, 2186, 540, 4661, 538, 1010, 3210, 547, 715, 1408, 11420, 269, 4014, 25816, 651, 568, 1318, 538, 711, 6005, 602, 715, 1408, 11420, 779, 7965, 14356, 8451, 689, 1010, 27082, 13659, 267, 594, 1589, 25816, 651, 568, 19451, 538, 1139, 3151, 602, 513, 811, 7850, 21042, 12695, 1223, 8115, 519, 7934, 1063, 3069, 543, 2259, 563, 25816, 651, 1281, 711, 1289, 715, 1408, 11420, 547, 4305, 593, 713, 1448, 267, 543, 538, 1249, 630, 756, 573, 269, 693, 476, 14056, 264, 1256, 4667, 547, 598, 2017, 538, 6236, 4052, 2601, 19858, 6306, 689, 606, 957, 540, 786, 267, 855, 25816, 651, 4025, 519, 786, 957, 538, 2696, 2864, 982, 538, 938, 1378, 3375, 607, 715, 1408, 11420, 1281, 563, 634, 6071, 1249, 540, 3375, 267, 610, 519, 6071, 1249, 540, 4743, 835, 540, 519, 27742, 1045, 12097, 676, 670, 2541, 267, 568, 1100, 811, 513, 4493, 585, 968, 4454, 892, 982, 568, 1022, 824, 968, 529, 1848, 670, 2541, 4413, 525, 1010, 1378, 1448, 20196, 968, 4454, 892, 3112, 581, 6508, 11652, 715, 1408, 11420, 5205, 1010, 4487, 269, 1403, 930, 4052, 6240, 568, 19858, 1317, 972, 568, 606, 4244, 547, 621, 267, 1152, 513, 4052, 6240, 630, 663, 6038, 513, 1875, 1506, 13607, 16375, 4052, 6240, 264, 666, 2062, 29148, 519, 7787, 4244, 563, 590, 11053, 269, 476, 272, 268, 273, 267, 7117, 269, 476, 11011, 267, 513, 269, 476, 274, 267, 524, 282, 7117, 269, 476, 11463, 267, 513, 269, 476, 275, 267, 524, 269, 1717, 267, 513, 16897, 540, 17429, 794, 543, 513, 12402, 547, 25657, 519, 1184, 540, 7787, 8174, 566, 609, 519, 2898, 1505, 540, 9511, 814, 3366, 930, 774, 558, 1235, 1765, 2254, 2406, 267, 3057, 527, 664, 23121, 20912, 602, 538, 519, 2067, 1876, 972, 616, 678, 14260, 17429, 1027, 8753, 269, 2494, 543, 519, 3557, 267, 476, 11011, 269, 3057, 527, 664, 2798, 856, 602, 13985, 21590, 3096, 519, 2262, 968, 638, 14515, 892, 538, 13288, 547, 519, 1095, 20696, 8753, 6508, 689, 1455, 4052, 3741, 269, 1261, 1281, 711, 5469, 602, 13985, 21590, 3096, 968, 638, 14515, 892, 538, 13288, 547, 519, 3741, 2933, 282, 789, 616, 968, 514, 32311, 324, 2067, 328, 29610, 829, 694, 711, 320, 1848, 630, 306, 11053, 1421, 476, 272, 268, 273, 267, 7117, 269, 476, 1911, 267, 513, 269, 476, 274, 267, 524, 269, 968, 5226, 14515, 892, 991, 711, 4163, 519, 25664, 566, 540, 5708, 799, 621, 814, 538, 938, 6165, 282, 621, 568, 3617, 538, 519, 3069, 540, 2067, 1876, 1141, 513, 6863, 5097, 2919, 585, 519, 4901, 540, 7811, 1702, 568, 1373, 9862, 547, 519, 1702, 540, 4052, 2601, 4700, 3057, 527, 664, 10305, 938, 1702, 540, 17386, 1095, 18587, 540, 2067, 1876, 547, 513, 1875, 935, 24632, 267, 1875, 16884, 1702, 676, 31007, 610, 598, 11499, 640, 269, 630, 28926, 269, 3632, 269, 693, 476, 3445, 1700, 10844, 269, 715, 9476, 267, 1566, 269, 3632, 269, 24101, 571, 4063, 476, 1240, 267, 693, 476, 16318, 1700, 5611, 267, 2488, 513, 11741, 543, 4977, 2126, 540, 519, 3020, 2631, 540, 968, 32474, 676, 598, 11499, 640, 892, 538, 13985, 21590, 282, 2705, 267, 646, 19890, 20147, 1010, 4901, 676, 11021, 602, 519, 4244, 547, 971, 1702, 568, 7811, 4700, 769, 1249, 267, 13985, 21590, 1281, 711, 2446, 13141, 5209, 538, 4276, 609, 519, 6508, 840, 32383, 267, 799, 616, 519, 3283, 3057, 527, 664, 6499, 547, 2491, 269, 13298, 267, 13985, 21590, 12211, 519, 2596, 840, 32383, 547, 519, 13141, 5209, 543, 267, 607, 649, 723, 2938, 267, 646, 1281, 713, 538, 513, 1259, 799, 1281, 711, 25657, 31007, 543, 1702, 610, 1033, 847, 689, 519, 12497, 4567, 610, 4111, 1043, 1843, 2032, 540, 519, 1582, 17272, 1211, 3741, 540, 4052, 2601, 563, 700, 2714, 514, 267, 1566, 269, 3632, 269, 24101, 571, 4063, 476, 274, 267, 693, 476, 8064, 563, 590, 1068, 650, 5190, 267, 1566, 269, 3632, 269, 24101, 571, 4063, 476, 2004, 267, 693, 476, 11820, 563, 21862, 839, 267, 1566, 269, 3632, 269, 24101, 571, 4063, 476, 279, 267, 693, 476, 1220, 563, 590, 11053, 269, 476, 272, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 341, 23218, 540, 513, 3070, 5627, 476, 274, 269, 273, 700, 540, 19844, 538, 476, 277, 269, 276, 700, 540, 3070, 286, 4320, 1151, 1393, 476, 1911, 4939, 630, 341, 23218, 264, 815, 4320, 3070, 476, 274, 269, 273, 700, 476, 1911, 476, 277, 269, 276, 700, 815, 476, 5392, 4939, 642, 23218, 4939, 24517, 1674, 7151, 9046, 476, 274, 1548, 4320, 540, 476, 272, 269, 5952, 4939, 342, 23218, 3070, 568, 2877, 547, 1683, 476, 276, 269, 278, 575, 540, 1151, 1393, 286, 476, 272, 269, 5952, 575, 1151, 1393, 4939, 630, 342, 23218, 264, 815, 476, 1911, 20853, 3070, 1284, 917, 281, 575, 1151, 1393, 543, 692, 2171, 1616, 547, 1205, 281, 575, 1151, 1393, 20853, 3070, 476, 1911, 20853, 3070, 476, 276, 269, 278, 575, 1151, 1393, 476, 272, 269, 5952, 575, 1151, 1393, 575, 1151, 1393, 5834, 20853, 3070, 815, 476, 20542, 20853, 8827, 815, 4320, 3070, 20668, 829, 2929, 11486, 11669, 630, 653, 332, 1299, 6032, 321, 264, 2527, 1151, 1393, 476, 11793, 4320, 3070, 610, 8406, 815, 28327, 700, 2527, 1151, 1393, 476, 11820, 692, 653, 321, 815, 4320, 3070, 610, 575, 700, 28327, 815, 7136, 543, 4320, 4559, 1590, 6474, 269, 630, 326, 1299, 20853, 264, 610, 630, 298, 326, 1299, 700, 264, 815, 6032, 321, 6730, 1280, 1360, 1970, 9830, 281, 23356, 2694, 829, 18265, 700, 815, 533, 696, 28327, 1299, 6032, 321, 7151, 9046, 476, 272, 1323, 16727, 21092, 10977, 7535, 3568, 476, 273, 267, 4335, 267, 1822, 700, 540, 1216, 269, 1403, 476, 272, 512, 4944, 540, 6070, 630, 27845, 5141, 264, 568, 15702, 538, 519, 7535, 267, 1018, 568, 519, 5834, 538, 28327, 286, 476, 272, 23188, 815, 476, 277, 269, 4037, 575, 10878, 5141, 692, 326, 1151, 1393, 28327, 815, 476, 11793, 20853, 3070, 476, 277, 269, 4037, 575, 476, 277, 28327, 815, 476, 1015, 20853, 476, 273, 269, 27944, 277, 700, 476, 1911, 271, 476, 272, 700, 28327, 815, 476, 271, 269, 16573, 278, 610, 8406, 1151, 1393, 28327, 815, 700, 3070, 28327, 815, 8406, 476, 277, 269, 4037, 575, 476, 1911, 271, 476, 272, 575, 476, 273, 269, 27944, 277, 700, 28327, 815, 476, 271, 269, 16573, 278, 28327, 1299, 6032, 321, 7151, 9046, 476, 273, 1323, 16727, 21092, 10977, 7535, 3568, 476, 273, 267, 4335, 267, 1822, 700, 540, 1216, 269, 1403, 476, 272, 512, 4944, 540, 6070, 630, 27845, 5141, 264, 568, 15702, 538, 519, 7535, 267, 1018, 692, 529, 519, 5834, 538, 6032, 321, 286, 476, 272, 23188, 815, 476, 277, 269, 4037, 575, 10878, 5141, 575, 1151, 1393, 6032, 321, 815, 476, 11820, 20853, 3070, 476, 277, 269, 4037, 575, 476, 280, 6032, 321, 815, 476, 1015, 20853, 476, 273, 269, 27944, 277, 700, 476, 1911, 271, 476, 272, 700, 6032, 321, 815, 476, 273, 269, 278, 610, 575, 1151, 1393, 6032, 321, 815, 700, 3070, 6032, 321, 815, 476, 277, 269, 4037, 575, 476, 11793, 8406, 476, 272, 575, 476, 273, 269, 27944, 277, 700, 6032, 321, 815, 476, 273, 269, 278, 692, 300, 1961, 26271, 589, 589, 645, 589, 589, 645, 589, 589, 645, 589, 645, 645, 589, 589, 631, 1961, 26271, 20465, 18253, 540, 589, 589, 589, 815, 2040, 540, 18253, 540, 782, 3334, 18253, 540, 645, 645, 645, 815, 2040, 540, 18253, 540, 782, 3334, 4595, 589, 1341, 645, 1118, 909, 519, 3003, 7848, 267, 741, 3727, 692, 325, 10330, 786, 1039, 909, 547, 835, 269, 589, 589, 1341, 1341, 645, 645, 589, 645, 476, 272, 269, 876, 631, 1961, 26271, 7151, 9046, 476, 272, 769, 938, 4837, 540, 476, 5367, 7401, 267, 649, 723, 3773, 476, 274, 512, 26138, 540, 4006, 630, 290, 1321, 295, 2420, 302, 1556, 1040, 634, 4320, 540, 519, 7401, 630, 4248, 264, 568, 476, 23283, 20853, 269, 1548, 568, 519, 3727, 6824, 540, 519, 4006, 538, 519, 7401, 3070, 286, 630, 272, 512, 26138, 4006, 476, 1839, 575, 264, 3689, 267, 649, 1265, 519, 18253, 540, 1312, 519, 1151, 1393, 543, 519, 19857, 269, 476, 272, 12387, 595, 1321, 670, 476, 2420, 744, 1556, 476, 4037, 3052, 595, 1321, 670, 476, 2420, 302, 1556, 815, 476, 271, 269, 25546, 12387, 476, 31079, 575, 595, 1321, 670, 476, 2420, 744, 1556, 476, 272, 12387, 670, 476, 273, 744, 476, 23283, 332, 299, 670, 476, 273, 744, 815, 476, 1240, 269, 272, 12387, 692, 1240, 269, 271, 575, 670, 744, 476, 273, 8921, 267, 649, 12990, 519, 18253, 540, 1312, 883, 519, 3727, 6824, 3830, 269, 476, 271, 269, 25546, 12387, 4006, 18253, 1151, 1393, 815, 4006, 815, 2698, 18253, 3070, 630, 271, 269, 25546, 12387, 1341, 476, 1240, 269, 272, 12387, 264, 476, 271, 269, 23713, 631, 1961, 26271, 7151, 9046, 476, 273, 5794, 568, 827, 476, 4281, 260, 715, 273, 267, 476, 2641, 260, 744, 273, 267, 543, 476, 271, 269, 3445, 260, 1488, 269, 1548, 568, 519, 3727, 6824, 540, 1142, 3154, 286, 3689, 267, 649, 1265, 519, 18253, 540, 1142, 3154, 269, 1284, 8263, 476, 1911, 269, 10101, 2698, 543, 1689, 1142, 4939, 883, 10101, 269, 476, 272, 12387, 715, 476, 273, 476, 4281, 326, 715, 476, 273, 815, 476, 273, 269, 8064, 12387, 476, 2764, 575, 715, 476, 273, 476, 272, 12387, 744, 476, 273, 476, 2641, 326, 744, 476, 273, 692, 284, 476, 271, 269, 4792, 277, 12387, 476, 3953, 575, 744, 476, 273, 8921, 267, 649, 12990, 519, 18253, 540, 1142, 883, 519, 3727, 6824, 3830, 269, 476, 272, 12387, 1488, 476, 271, 269, 3445, 326, 1488, 815, 476, 271, 269, 28873, 276, 12387, 476, 2412, 269, 575, 589, 678, 815, 18253, 715, 476, 273, 815, 715, 273, 2698, 18253, 476, 273, 269, 8064, 12387, 715, 476, 273, 630, 273, 269, 8064, 1341, 476, 271, 269, 4792, 277, 1341, 476, 271, 269, 28873, 276, 264, 476, 271, 269, 3199, 275, 25883, 332, 3421, 744, 476, 273, 815, 744, 273, 2698, 18253, 476, 271, 269, 4792, 277, 12387, 744, 476, 273, 630, 273, 269, 8064, 1341, 476, 271, 269, 4792, 277, 1341, 476, 271, 269, 28873, 276, 264, 476, 271, 269, 6245, 815, 1488, 815, 18253, 1488, 2698, 18253, 476, 271, 269, 28873, 276, 12387, 1488, 630, 273, 269, 8064, 1341, 476, 271, 269, 4792, 277, 1341, 476, 271, 269, 28873, 276, 264, 476, 271, 269, 24879, 5392, 20703, 531, 630, 332, 264, 7151, 9046, 476, 272, 1403, 519, 9023, 1062, 538, 707, 1286, 814, 513, 4390, 540, 476, 1691, 7117, 1206, 267, 543, 596, 1616, 519, 3579, 656, 547, 581, 6870, 689, 16171, 1524, 547, 910, 1839, 293, 267, 519, 6003, 3081, 547, 9192, 476, 277, 844, 11301, 540, 30624, 872, 2763, 609, 476, 279, 844, 11301, 540, 1216, 269, 1548, 568, 519, 12387, 531, 5834, 540, 519, 30624, 872, 2763, 538, 519, 7848, 286, 12387, 1151, 1393, 544, 284, 918, 326, 19857, 544, 284, 692, 656, 604, 872, 2763, 568, 2802, 22005, 28340, 595, 273, 295, 277, 302, 273, 476, 272, 7117, 339, 30624, 872, 2763, 815, 476, 10755, 274, 10101, 476, 272, 7117, 339, 1216, 815, 476, 280, 5379, 10101, 476, 10755, 274, 575, 595, 476, 273, 670, 476, 277, 302, 476, 273, 476, 272, 28485, 595, 273, 670, 476, 277, 302, 476, 273, 476, 277, 1627, 1206, 476, 7830, 269, 272, 575, 595, 670, 744, 476, 272, 1627, 339, 595, 670, 744, 476, 273, 476, 277, 476, 273, 476, 273, 476, 277, 476, 273, 476, 280, 5379, 575, 670, 476, 273, 302, 476, 279, 1627, 1206, 476, 272, 1627, 339, 670, 744, 476, 273, 476, 272, 918, 326, 476, 1911, 271, 575, 815, 476, 1724, 544, 692, 1012, 21298, 7348, 539, 10558, 725, 692, 1892, 20167, 626, 18152, 3794, 659, 2747, 538, 519, 8828, 3487, 540, 519, 3345, 595, 2444, 1228, 16186, 267, 6115, 19881, 5525, 31854, 15572, 545, 26402, 20767, 9323, 4611, 689, 606, 4672, 4434, 941, 15217, 25528, 607, 20847, 1519, 11489, 267, 2144, 7806, 923, 856, 31683, 267, 22725, 755, 9068, 21439, 267, 543, 4672, 9762, 716, 14404, 1881, 20847, 563, 1892, 20946, 540, 3117, 4109, 1145, 269, 3117, 4109, 5426, 281, 589, 1268, 568, 3222, 540, 2790, 2621, 693, 513, 2016, 4090, 907, 2776, 10940, 5426, 281, 589, 1268, 781, 2790, 2621, 602, 616, 3544, 540, 1010, 17017, 1699, 4656, 666, 581, 4547, 883, 9637, 32380, 630, 328, 4318, 1421, 676, 19551, 1916, 1892, 2382, 6627, 3115, 21627, 1559, 3465, 6326, 7913, 18623, 1222, 4460, 16888, 267, 17363, 2605, 6471, 2160, 22186, 22220, 2701, 13145, 267, 8225, 5948, 540, 3194, 23905, 3371, 4653, 267, 717, 821, 8751, 6563, 654, 4883, 6559, 326, 267, 15406, 267, 4873, 476, 273, 267, 476, 1220, 275, 454, 1892, 8648, 1715, 4936, 1488, 658, 13507, 4347, 5435, 5071, 9786, 17817, 476, 274, 269, 271, 4518, 8206, 4518, 543, 6052, 22391, 476, 274, 22391, 476, 275, 4518, 13878, 295, 19532, 22003, 7151, 13658, 7726, 7151, 22391, 476, 1556, 22391, 476, 1321, 4518, 568, 519, 1858, 630, 288, 264, 896, 513, 3113, 540, 3196, 2483, 1892, 7118, 875, 547, 27043, 513, 2953, 834, 17582, 24764, 257, 2985, 543, 1747, 1697, 834, 8001, 16375, 4967, 257, 538, 519, 1257, 540, 707, 1957, 269, 3619, 547, 519, 2780, 2978, 543, 1205, 621, 2944, 269, 14581, 910, 13159, 707, 1568, 11855, 2985, 543, 1118, 2386, 547, 2483, 1892, 24953, 772, 1186, 269, 14171, 1434, 4967, 269, 14581, 630, 29051, 1419, 264, 24356, 269, 18669, 910, 18740, 476, 25228, 269, 10049, 269, 645, 5407, 269, 6755, 15078, 269, 4400, 331, 7660, 269, 18185, 269, 30930, 666, 3251, 693, 1753, 8627, 717, 15665, 269, 11192, 18745, 269, 3267, 8080, 547, 24665, 730, 16387, 7490, 1129, 538, 269, 7831, 9168, 676, 912, 1892, 1215, 7347, 23218, 592, 1676, 762, 568, 519, 3060, 1996, 971, 6285, 286, 1548, 616, 519, 6402, 602, 616, 1034, 2693, 547, 581, 16091, 286, 7316, 547, 2322, 3606, 3095, 454, 1892, 681, 6395, 19010, 2464, 6347, 12283, 570, 12239, 670, 2752, 9143, 7838, 312, 476, 1001, 280, 8525, 476, 272, 476, 272, 476, 273, 476, 274, 595, 595, 595, 2473, 2473, 2473, 589, 589, 589, 589, 311, 6224, 9373, 693, 11554, 570, 8527, 267, 19382, 693, 595, 269, 670, 311, 300, 6224, 17781, 19382, 1210, 3368, 519, 589, 1066, 320, 269, 670, 910, 918, 0, 299, 7238, 15711, 2102, 281, 918, 14660, 7999, 3768, 8210, 933, 527, 1716, 13153, 5696, 6686, 7770, 4083, 630, 11293, 933, 527, 1068, 2020, 288, 269, 7454, 574, 1889, 5884, 2098, 22844, 267, 5884, 1990, 636, 575, 2131, 14660, 345, 1084, 25362, 577, 535, 6686, 327, 4135, 1384, 272, 269, 6695, 2765, 346, 279, 2410, 2412, 23685, 6277, 2135, 28784, 324, 272, 742, 322, 272, 267, 276, 29210, 31765, 281, 275, 3686, 815, 1422, 2765, 346, 279, 315, 10233, 346, 19990, 2410, 281, 275, 12453, 2412, 315, 10233, 346, 19990, 2410, 281, 275, 3686, 815, 1422, 2765, 346, 273, 2410, 1015, 15732, 273, 269, 6695, 2765, 346, 274, 2410, 280, 23685, 6277, 2135, 28784, 324, 272, 742, 322, 272, 267, 276, 29210, 31765, 281, 274, 3686, 815, 1422, 2765, 346, 274, 315, 10233, 346, 19990, 2410, 281, 274, 12453, 280, 315, 10233, 346, 19990, 2410, 281, 274, 3686, 815, 1422, 2765, 346, 272, 2410, 274, 15732, 274, 269, 6695, 2765, 346, 277, 2410, 1626, 23685, 6277, 2135, 28784, 324, 272, 742, 322, 272, 267, 276, 29210, 31765, 281, 273, 3686, 815, 1422, 2765, 346, 277, 315, 10233, 346, 19990, 2410, 281, 273, 12453, 1626, 315, 10233, 346, 19990, 2410, 281, 273, 3686, 815, 1422, 2765, 346, 274, 2410, 279, 15732, 275, 269, 6695, 2765, 346, 279, 2410, 4366, 23685, 6277, 2135, 28784, 324, 272, 742, 322, 272, 267, 276, 29210, 31765, 281, 279, 3686, 815, 1422, 2765, 346, 279, 315, 10233, 346, 19990, 2410, 281, 279, 12453, 4366, 315, 10233, 346, 19990, 2410, 281, 279, 3686, 815, 1422, 2765, 346, 272, 2410, 277, 15732, 276, 269, 6695, 2765, 346, 1321, 2410, 10019, 23685, 6277, 2135, 28784, 324, 272, 742, 322, 272, 267, 276, 29210, 31765, 281, 1321, 3686, 815, 1422, 2765, 346, 1321, 315, 10233, 346, 19990, 2410, 281, 1321, 12453, 10019, 315, 10233, 346, 19990, 2410, 281, 1321, 3686, 815, 1422, 2765, 346, 272, 2410, 278, 15732, 277, 269, 6695, 2765, 346, 7906, 2410, 1321, 23685, 6277, 2135, 28784, 324, 272, 742, 322, 272, 267, 276, 29210, 31765, 281, 274, 3686, 815, 1422, 2765, 346, 7906, 315, 10233, 346, 19990, 2410, 281, 274, 12453, 1321, 315, 10233, 346, 19990, 2410, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30559, 1426, 11149, 269, 13662, 2472, 27114, 590, 5085, 291, 6865, 581, 13381, 563, 5522, 2880, 476, 278, 281, 4033, 454, 12179, 1826, 540, 5068, 602, 3085, 1406, 3514, 883, 835, 540, 519, 1101, 3670, 6688, 8813, 896, 713, 16144, 269, 15733, 16826, 539, 609, 513, 476, 278, 616, 1419, 1500, 856, 540, 2789, 5068, 2010, 610, 856, 540, 824, 2010, 540, 5068, 602, 666, 1406, 3362, 581, 13381, 563, 309, 597, 6265, 12462, 7538, 14615, 4874, 6856, 20249, 568, 1500, 689, 19386, 267, 513, 1875, 3146, 2908, 762, 4199, 267, 543, 3340, 513, 2603, 540, 1648, 547, 3132, 563, 3725, 7094, 539, 4874, 6856, 568, 1500, 689, 13381, 2326, 630, 324, 3052, 269, 27946, 14569, 543, 4874, 6856, 17234, 264, 543, 11151, 873, 689, 2469, 547, 519, 25087, 269, 634, 9657, 1184, 10411, 13699, 519, 20249, 593, 513, 7636, 1377, 267, 799, 2488, 678, 303, 4953, 609, 519, 1482, 2168, 3601, 607, 20424, 4874, 6856, 267, 855, 513, 2539, 2825, 1764, 563, 20751, 602, 267, 678, 303, 4953, 2504, 5932, 476, 4037, 260, 1447, 2910, 8975, 480, 5434, 982, 519, 2504, 540, 20424, 4874, 6856, 563, 23322, 2524, 540, 678, 303, 4953, 912, 268, 15020, 14463, 543, 11259, 547, 1082, 6464, 454, 268, 1763, 9665, 547, 16756, 532, 267, 15198, 267, 23743, 1782, 543, 705, 6652, 687, 454, 268, 17316, 637, 616, 1360, 2178, 2943, 17426, 454, 268, 14168, 547, 20004, 454, 268, 4825, 1622, 922, 3337, 1360, 1134, 543, 1743, 625, 3533, 454, 1103, 519, 2063, 476, 277, 3275, 267, 1472, 476, 4792, 260, 540, 938, 8737, 2472, 1031, 19889, 28546, 12814, 5958, 269, 11524, 1331, 7849, 26939, 971, 607, 10412, 563, 29619, 540, 938, 19889, 1922, 5419, 338, 912, 22461, 918, 305, 27888, 280, 1107, 19889, 28546, 630, 2004, 260, 678, 303, 4953, 270, 476, 2004, 260, 28139, 6856, 994, 22461, 570, 1911, 1107, 4427, 7665, 630, 2004, 260, 678, 303, 4953, 1315, 476, 2004, 260, 28139, 6856, 264, 630, 18744, 585, 681, 1872, 2421, 1744, 7398, 1299, 1744, 2176, 994, 22461, 570, 28318, 1107, 9891, 7665, 700, 924, 630, 9262, 260, 678, 303, 4953, 270, 476, 1724, 260, 1975, 663, 1410, 994, 22461, 570, 28512, 1107, 9891, 7665, 630, 9262, 260, 678, 303, 4953, 270, 476, 1724, 260, 1975, 663, 1410, 994, 22461, 570, 18089, 1107, 19889, 1160, 28546, 630, 6434, 260, 678, 303, 4953, 270, 476, 1321, 260, 1975, 663, 1410, 994, 22461, 17677, 8131, 630, 2004, 260, 678, 303, 4953, 270, 476, 2004, 260, 12443, 6856, 994, 22461, 26146, 4905, 630, 2004, 260, 678, 303, 4953, 270, 476, 2004, 260, 12443, 6856, 264, 1107, 4183, 5958, 454, 22461, 13878, 5881, 275, 1107, 5080, 325, 853, 4958, 577, 630, 3445, 260, 678, 303, 4953, 270, 476, 1015, 260, 1975, 663, 1410, 994, 22461, 13878, 5881, 277, 1107, 630, 2004, 260, 678, 303, 4953, 270, 476, 2004, 260, 12443, 6856, 994, 22461, 570, 271, 4375, 3918, 1107, 19889, 6601, 6033, 630, 9262, 260, 678, 303, 4953, 476, 1724, 260, 1975, 663, 1410, 994, 5978, 10700, 3804, 568, 547, 5478, 476, 1911, 260, 540, 938, 2472, 609, 19889, 28546, 12814, 5958, 563, 2414, 723, 519, 1034, 11413, 827, 519, 5169, 540, 938, 2472, 267, 649, 616, 4867, 2324, 1927, 609, 1079, 570, 1512, 476, 272, 15327, 1152, 269, 5637, 15327, 616, 4092, 538, 3624, 563, 763, 2871, 836, 345, 17924, 12051, 7472, 938, 19889, 28546, 12814, 5958, 609, 5068, 3653, 543, 14569, 689, 513, 14468, 9744, 563, 763, 12051, 538, 715, 532, 2692, 3217, 2022, 15926, 10179, 3653, 899, 1031, 12443, 6856, 17234, 607, 513, 2707, 585, 741, 678, 303, 4953, 630, 516, 7094, 539, 12443, 6856, 264, 20612, 563, 5472, 540, 938, 15327, 585, 13381, 12443, 6856, 4163, 519, 717, 11965, 25890, 269, 901, 15149, 2829, 519, 5169, 540, 741, 5068, 3653, 543, 5693, 2982, 602, 938, 12051, 556, 1790, 584, 5099, 2022, 15926, 10179, 3653, 585, 938, 19889, 6363, 527, 17234, 563, 7883, 532, 4464, 649, 616, 5885, 7341, 547, 2901, 1305, 909, 513, 9657, 1984, 585, 1065, 584, 19397, 14569, 883, 20612, 538, 15173, 15158, 3294, 610, 513, 3152, 2146, 547, 5531, 5068, 3653, 547, 6928, 547, 15990, 563, 5978, 1234, 12860, 6703, 616, 11725, 730, 609, 519, 6820, 1234, 12860, 9208, 630, 294, 11965, 1040, 2334, 1797, 789, 616, 2912, 1243, 5781, 676, 513, 3791, 5428, 602, 11974, 741, 2702, 547, 1184, 1164, 7779, 26939, 267, 799, 616, 2973, 543, 2922, 543, 9673, 1206, 519, 946, 540, 13818, 6464, 563, 4415, 938, 946, 540, 13381, 12443, 6856, 543, 519, 1016, 3916, 566, 1820, 20004, 1505, 267, 649, 2119, 547, 581, 607, 10357, 7888, 607, 2009, 563, 763, 19889, 28546, 12814, 10652, 2280, 1184, 7472, 3648, 7864, 13802, 982, 18343, 20424, 12443, 6856, 689, 8891, 15950, 607, 3254, 538, 713, 6476, 912, 268, 634, 2504, 540, 476, 272, 918, 294, 20424, 27946, 2115, 476, 273, 918, 294, 540, 19020, 3282, 543, 13847, 476, 277, 918, 294, 540, 2910, 11054, 563, 268, 634, 2504, 540, 476, 272, 918, 294, 678, 303, 4953, 666, 2061, 5111, 476, 1911, 476, 271, 269, 276, 16720, 14569, 689, 2469, 547, 519, 25087, 543, 5305, 1152, 476, 274, 269, 276, 918, 294, 2910, 11054, 630, 12671, 476, 2412, 260, 1447, 2910, 11054, 1916, 5978, 1016, 3916, 566, 16493, 267, 585, 1383, 267, 1152, 946, 661, 12121, 1299, 631, 574, 13403, 22731, 769, 802, 267, 799, 616, 6915, 2861, 543, 11292, 2278, 5314, 2687, 547, 661, 4596, 623, 3008, 9915, 18306, 676, 744, 2131, 334, 6874, 1410, 3044, 563, 5591, 1107, 606, 14711, 547, 12443, 6856, 610, 1022, 824, 20249, 267, 849, 5219, 547, 607, 19135, 27150, 267, 1058, 581, 3144, 12517, 269, 1403, 538, 8969, 5077, 513, 2564, 19995, 563, 7021, 942, 543, 609, 6905, 4598, 547, 513, 3905, 1604, 267, 10250, 5666, 540, 17059, 3415, 949, 22109, 883, 1216, 610, 16098, 4420, 1194, 538, 27946, 269, 2657, 8041, 1472, 519, 1158, 723, 9672, 891, 1360, 1507, 5666, 1107, 19011, 1645, 1447, 982, 476, 272, 851, 829, 5479, 1107, 10460, 1100, 1072, 4145, 563, 8802, 8973, 519, 17059, 3415, 538, 17234, 267, 519, 2475, 10837, 585, 24768, 15240, 1734, 543, 8376, 3204, 3588, 3081, 621, 568, 1360, 17401, 3808, 538, 519, 12249, 2497, 540, 519, 12443, 6856, 543, 568, 711, 6534, 547, 519, 2960, 269, 4340, 547, 713, 267, 17059, 3415, 538, 27946, 568, 711, 5739, 547, 1480, 1072, 563, 2690, 938, 1016, 3916, 566, 16493, 267, 649, 1152, 946, 661, 12121, 1299, 631, 574, 13403, 3312, 769, 330, 799, 616, 6915, 2861, 543, 11292, 2278, 5314, 2687, 547, 661, 4596, 623, 3008, 9915, 18306, 676, 744, 2131, 334, 6874, 1410, 3044, 563, 763, 1016, 3916, 566, 1820, 3294, 568, 835, 540, 519, 10357, 1922, 5987, 31586, 8228, 2553, 267, 1932, 269, 898, 2164, 538, 5934, 3653, 607, 1100, 20004, 786, 1205, 883, 519, 1216, 1062, 1107, 1945, 799, 666, 4755, 609, 1082, 824, 10085, 4370, 3157, 269, 14755, 602, 267, 835, 1016, 3916, 566, 1820, 666, 581, 1031, 2789, 2053, 547, 1820, 593, 811, 982, 1175, 519, 835, 28630, 269, 901, 568, 513, 1184, 799, 568, 1572, 9688, 8228, 563, 1692, 1281, 621, 960, 888, 8138, 3916, 566, 3322, 519, 946, 540, 513, 3059, 17002, 547, 3132, 2592, 593, 1016, 3916, 566, 4483, 1957, 609, 1016, 3916, 566, 13504, 269, 634, 1016, 3916, 566, 1957, 568, 1287, 5116, 883, 513, 3002, 2046, 1927, 609, 519, 12443, 6856, 5958, 543, 1287, 6534, 547, 1164, 5210, 540, 827, 476, 10204, 1107, 476, 1220, 4110, 17622, 269, 901, 568, 950, 519, 13504, 543, 4483, 1570, 2490, 689, 4396, 547, 3154, 269, 4495, 789, 616, 538, 513, 3154, 1533, 267, 789, 15449, 622, 519, 26939, 540, 519, 1570, 269, 1879, 519, 3002, 568, 6569, 689, 519, 4483, 1957, 543, 14041, 267, 519, 13504, 602, 814, 15449, 730, 519, 26939, 4396, 5809, 543, 568, 19526, 18385, 883, 1747, 676, 519, 4483, 1570, 563, 3080, 2027, 1249, 827, 1016, 3916, 566, 8228, 568, 602, 621, 1568, 593, 1100, 824, 5958, 982, 12443, 6856, 543, 568, 4061, 3501, 585, 570, 15711, 9564, 22505, 2472, 563, 8138, 3916, 566, 8228, 17990, 1216, 267, 3123, 1100, 6757, 3653, 21226, 543, 16493, 666, 581, 556, 268, 4310, 563, 18455, 10357, 543, 5683, 568, 938, 10862, 543, 5692, 269, 4475, 267, 649, 798, 3388, 649, 666, 547, 2327, 602, 938, 15327, 1174, 543, 9772, 938, 2825, 4441, 563, 2171, 616, 10583, 547, 2161, 938, 13381, 20612, 14200, 4163, 519, 6820, 1234, 12860, 9208, 630, 294, 11965, 1070, 799, 3340, 873, 547, 1832, 2407, 5638, 540, 519, 946, 540, 6464, 267, 1648, 267, 1216, 4616, 543, 16894, 2126, 1519, 519, 12871, 540, 31993, 269, 3958, 267, 519, 15327, 1590, 1521, 741, 16894, 3823, 9063, 1871, 267, 2837, 267, 2910, 291, 543, 645, 7495, 3977, 1354, 12871, 563, 763, 717, 11965, 849, 814, 606, 3573, 3296, 1644, 547, 11832, 779, 1072, 543, 3106, 267, 799, 5849, 938, 3106, 4441, 616, 909, 18988, 538, 519, 14200, 563, 2690, 938, 28630, 15327, 267, 649, 1131, 899, 873, 547, 3035, 519, 18869, 476, 9610, 4905, 267, 18562, 267, 789, 2907, 723, 513, 1360, 1507, 3327, 11640, 1813, 547, 519, 946, 540, 8955, 5969, 543, 1016, 3916, 566, 8228, 267, 799, 1312, 2061, 3653, 269, 5015, 267, 938, 12051, 1152, 3096, 6915, 2861, 13504, 585, 519, 570, 15711, 9564, 16493, 563, 2026, 649, 1131, 899, 547, 4688, 1164, 5434, 593, 519, 6283, 540, 519, 8737, 5370, 689, 519, 15327, 547, 721, 267, 649, 2154, 28051, 540, 6928, 906, 1354, 7006, 2255, 563, 2414, 2327, 5683, 4441, 649, 5781, 3643, 938, 7649, 15327, 267, 799, 2882, 5870, 609, 519, 4600, 543, 8524, 532, 519, 6703, 563, 13010, 267, 649, 723, 9250, 513, 1062, 547, 2061, 7050, 2324, 3108, 269, 1284, 5000, 513, 5347, 1931, 2095, 543, 8237, 938, 8445, 1931, 12405, 1700, 1492, 7887, 2014, 585, 936, 3108, 1700, 20041, 1082, 1507, 12405, 676, 8716, 938, 5561, 547, 1931, 4505, 563, 300, 15412, 1737, 338, 616, 513, 2027, 2186, 540, 2890, 27415, 269, 634, 1507, 5068, 5536, 616, 1447, 982, 476, 276, 1984, 22015, 637, 538, 8006, 543, 1031, 538, 1896, 2081, 267, 1519, 607, 26349, 610, 608, 9110, 11868, 8069, 538, 30143, 267, 865, 2355, 610, 26025, 269, 19287, 1737, 338, 798, 711, 23271, 267, 543, 1310, 789, 616, 32092, 539, 1524, 519, 8963, 789, 666, 1439, 909, 538, 938, 8933, 543, 12647, 585, 5756, 267, 31362, 3165, 543, 824, 7320, 563, 19859, 680, 10415, 666, 849, 581, 3361, 676, 513, 2647, 3099, 540, 20955, 1519, 12443, 6856, 269, 1452, 616, 1572, 5843, 325, 756, 619, 269, 589, 1353, 676, 519, 7802, 6216, 4793, 6782, 807, 543, 519, 2160, 540, 4993, 267, 13244, 22526, 267, 1336, 602, 950, 10991, 13544, 1115, 1500, 540, 29370, 756, 619, 616, 18233, 267, 593, 3328, 476, 272, 269, 278, 10101, 540, 29370, 756, 619, 616, 5950, 689, 519, 11067, 3684, 269, 1452, 29370, 756, 619, 1287, 2951, 547, 2199, 16894, 2126, 2371, 267, 1141, 909, 547, 476, 2412, 260, 540, 873, 4283, 883, 8933, 267, 12647, 267, 543, 12084, 1141, 789, 3565, 547, 519, 2949, 5068, 5533, 269, 5843, 325, 756, 619, 2272, 585, 476, 5952, 260, 540, 812, 13402, 11935, 1336, 593, 13272, 6050, 5001, 563, 2171, 693, 570, 15711, 9564, 22505, 616, 3222, 540, 713, 3390, 269, 1284, 723, 2907, 8045, 3606, 694, 4461, 538, 519, 960, 26206, 540, 938, 23157, 267, 799, 2337, 2569, 519, 5137, 540, 2890, 680, 10415, 269, 5015, 267, 649, 4363, 938, 17234, 581, 18233, 538, 3579, 1216, 610, 676, 1688, 1152, 547, 948, 10994, 713, 1966, 269, 16952, 3800, 5561, 666, 9772, 616, 561, 842, 12086, 610, 28106, 2472, 971, 607, 2871, 653, 344, 23136, 630, 320, 3483, 1500, 11067, 9126, 264, 585, 946, 538, 11067, 6191, 563, 19859, 680, 10415, 616, 1419, 5950, 689, 9660, 950, 8380, 2566, 593, 873, 267, 585, 1383, 950, 596, 11547, 610, 6084, 1076, 3819, 873, 563, 2026, 11067, 5026, 20955, 568, 796, 28300, 762, 263, 810, 2484, 1070, 596, 666, 3888, 513, 6882, 883, 707, 11067, 3684, 602, 29598, 519, 29370, 756, 619, 1354, 789, 616, 1166, 19813, 883, 519, 1216, 8756, 563, 12179, 2504, 1184, 814, 606, 1764, 593, 519, 1604, 269, 11048, 267, 649, 616, 3843, 547, 1832, 519, 2942, 1764, 607, 1970, 607, 2009, 563, 11997, 267, 649, 723, 1044, 1210, 13381, 27946, 585, 938, 19889, 28546, 12814, 2472, 2094, 476, 1220, 276, 267, 799, 3123, 476, 2412, 4939, 7864 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 495, 427, 375, 359, 5236, 366, 361, 427, 374, 366, 5236, 375, 511, 427, 374, 352, 427, 374, 359, 427, 374, 491, 427, 374, 499, 5236, 375, 352, 427, 375, 355, 5236, 374, 367, 427, 375, 510, 427, 375, 490, 427, 374, 498, 5236, 375, 352, 427, 375, 490, 427, 375, 368, 427, 375, 357, 427, 374, 498, 587, 359, 12168, 490, 587, 361, 427, 375, 367, 427, 375, 506, 427, 375, 362, 427, 375, 354, 5236, 375, 497, 427, 374, 362, 427, 374, 491, 427, 375, 491, 5236, 374, 491, 427, 375, 509, 427, 375, 490, 427, 375, 368, 427, 375, 357, 427, 374, 498, 5236, 375, 509, 427, 375, 490, 427, 374, 359, 427, 374, 358, 5236, 374, 491, 427, 375, 509, 427, 375, 362, 427, 374, 352, 405, 478, 427, 374, 359, 427, 374, 491, 427, 374, 499, 587, 361, 454, 587, 360, 427, 374, 491, 427, 367, 490, 427, 375, 490, 427, 375, 368, 427, 374, 496, 427, 374, 498, 5236, 375, 360, 427, 375, 362, 722, 359, 23099, 32465, 587, 361, 427, 375, 511, 427, 374, 491, 427, 374, 509, 427, 374, 494, 5236, 375, 352, 427, 365, 364, 427, 365, 482, 587, 361, 692, 587, 360, 1892, 5236, 374, 491, 427, 367, 488, 427, 374, 492, 427, 374, 358, 427, 374, 503, 587, 361, 692, 587, 360, 587, 359, 30631, 587, 361, 587, 361, 692, 587, 360, 427, 375, 360, 427, 375, 362, 5236, 375, 497, 427, 374, 490, 427, 374, 498, 5236, 374, 509, 427, 374, 364, 427, 374, 489, 427, 375, 368, 427, 374, 498, 5236, 375, 352, 427, 375, 355, 5236, 374, 491, 427, 375, 509, 427, 375, 357, 427, 374, 502, 427, 374, 492, 427, 374, 489, 427, 374, 508, 5236, 374, 491, 427, 367, 490, 427, 375, 506, 427, 375, 362, 427, 375, 356, 427, 374, 498, 5236, 375, 509, 427, 375, 498, 427, 374, 362, 427, 374, 491, 427, 375, 491, 5236, 374, 491, 427, 375, 509, 427, 375, 490, 427, 375, 368, 427, 375, 357, 427, 374, 498, 587, 359, 12168, 490, 587, 361, 427, 375, 511, 427, 375, 367, 427, 374, 362, 427, 375, 352, 427, 374, 364, 5236, 375, 509, 427, 375, 510, 427, 374, 353, 427, 374, 492, 427, 374, 358, 427, 374, 503, 5236, 366, 507, 427, 374, 362, 427, 375, 495, 5236, 375, 352, 427, 375, 355, 5236, 374, 491, 427, 367, 488, 427, 374, 362, 427, 375, 511, 427, 375, 495, 5236, 374, 491, 427, 367, 491, 427, 374, 510, 427, 374, 492, 427, 374, 489, 427, 375, 368, 405, 478, 427, 374, 498, 587, 361, 454, 587, 360, 316, 587, 359, 12168, 490, 15431, 267, 290, 2073, 289, 2073, 288, 587, 361, 427, 375, 511, 427, 375, 367, 5236, 375, 357, 427, 375, 502, 427, 374, 368, 427, 375, 351, 5236, 374, 491, 427, 367, 488, 427, 374, 492, 427, 374, 358, 427, 374, 503, 5236, 374, 485, 427, 365, 482, 5236, 375, 356, 427, 375, 362, 427, 375, 489, 427, 366, 498, 5236, 367, 502, 427, 374, 492, 722, 359, 281, 587, 361, 587, 361, 454, 587, 360, 587, 359, 268, 272, 587, 361, 587, 361, 692, 587, 360, 427, 374, 352, 427, 374, 492, 427, 374, 358, 427, 374, 503, 5236, 374, 495, 427, 374, 368, 427, 375, 368, 427, 375, 480, 722, 359, 2433, 11822, 7926, 587, 361, 427, 375, 511, 427, 375, 360, 427, 375, 362, 5236, 374, 491, 427, 375, 509, 427, 374, 361, 427, 375, 365, 5236, 367, 505, 427, 374, 502, 427, 375, 362, 427, 375, 365, 5236, 375, 489, 427, 375, 510, 427, 375, 364, 5236, 375, 356, 427, 374, 502, 427, 375, 368, 427, 374, 510, 427, 374, 498, 5236, 375, 511, 427, 374, 491, 427, 374, 352, 427, 374, 359, 427, 374, 497, 5236, 375, 352, 427, 375, 355, 5236, 374, 491, 427, 375, 509, 427, 375, 357, 427, 374, 502, 405, 478, 427, 374, 492, 427, 374, 489, 427, 374, 508, 587, 361, 454, 587, 360, 427, 374, 491, 427, 367, 490, 427, 375, 506, 427, 375, 362, 427, 375, 356, 427, 374, 498, 5236, 375, 509, 427, 375, 498, 427, 374, 362, 427, 374, 491, 427, 375, 491, 5236, 374, 491, 427, 375, 509, 427, 375, 490, 427, 375, 368, 427, 375, 357, 427, 374, 498, 722, 359, 269, 587, 361, 587, 361, 692, 587, 360, 587, 359, 10844, 587, 361, 587, 361, 454, 587, 360, 587, 359, 268, 273, 587, 361, 587, 361, 692, 587, 360, 427, 374, 352, 427, 374, 492, 427, 374, 358, 427, 374, 503, 5236, 375, 352, 427, 374, 362, 427, 375, 505, 427, 374, 494, 722, 359, 2433, 3281, 9426, 7926, 587, 361, 427, 375, 511, 427, 375, 367, 427, 374, 372, 427, 375, 353, 427, 375, 508, 5236, 375, 356, 427, 374, 502, 427, 375, 368, 427, 374, 510, 427, 374, 502, 427, 366, 498, 5236, 374, 481, 427, 375, 511, 5236, 374, 481, 427, 375, 505, 427, 374, 506, 427, 374, 362, 5236, 375, 352, 427, 375, 355, 5236, 374, 491, 427, 375, 509, 427, 375, 357, 427, 374, 502, 427, 374, 492, 427, 374, 489, 427, 374, 508, 5236, 374, 491, 427, 367, 490, 427, 375, 506, 427, 375, 362, 427, 375, 356, 427, 374, 498, 587, 361, 454, 587, 360, 427, 375, 509, 427, 375, 498, 427, 374, 362, 427, 374, 491, 427, 375, 491, 5236, 374, 491, 427, 375, 509, 427, 375, 490, 427, 375, 368, 427, 375, 357, 427, 374, 498, 587, 359, 12168, 490, 587, 361, 427, 374, 481, 427, 375, 365, 5236, 374, 481, 427, 375, 354, 5236, 374, 491, 427, 367, 488, 427, 374, 492, 427, 374, 358, 427, 374, 503, 5236, 374, 491, 427, 367, 490, 427, 374, 362, 427, 375, 505, 427, 374, 494, 5236, 367, 507, 427, 375, 506, 427, 375, 355, 5236, 374, 501, 427, 375, 502, 427, 374, 368, 427, 375, 368, 427, 375, 353, 427, 375, 359, 5236, 374, 485, 427, 365, 481, 5236, 374, 352, 427, 375, 362, 427, 374, 491, 427, 374, 358, 427, 374, 503, 5236, 374, 495, 427, 374, 368, 427, 375, 368, 427, 375, 482, 427, 374, 498, 722, 359, 269, 587, 361, 587, 361, 454, 587, 360, 427, 375, 511, 427, 375, 367, 427, 374, 362, 427, 375, 352, 427, 374, 364, 5236, 375, 509, 427, 375, 490, 427, 374, 359, 427, 374, 358, 5236, 374, 491, 427, 375, 509, 427, 375, 357, 427, 374, 502, 427, 374, 492, 427, 374, 489, 427, 374, 508, 5236, 374, 491, 427, 367, 490, 427, 375, 506, 427, 375, 362, 427, 375, 356, 427, 374, 498, 5236, 375, 509, 427, 375, 510, 427, 374, 353, 427, 374, 492, 427, 374, 358, 427, 374, 503, 5236, 374, 495, 427, 374, 492, 427, 375, 509, 427, 374, 362, 427, 375, 352, 427, 374, 364, 3738, 587, 359, 10371, 1421, 562, 263, 645, 264, 2073, 562, 263, 589, 587, 361, 427, 375, 511, 427, 375, 360, 427, 375, 506, 427, 374, 361, 427, 374, 491, 722, 359, 269, 587, 361, 587, 361, 692, 587, 360, 427, 375, 497, 427, 375, 490, 427, 375, 357, 427, 374, 359, 5236, 374, 485, 427, 375, 509, 427, 375, 502, 427, 374, 492, 427, 374, 478, 5236, 375, 501, 427, 375, 482, 427, 375, 490, 427, 374, 498, 5236, 375, 489, 427, 375, 353, 427, 375, 510, 427, 374, 498, 5236, 375, 493, 427, 366, 495, 5236, 375, 352, 427, 374, 502, 427, 374, 353, 427, 375, 368, 427, 374, 364, 427, 374, 497, 5236, 375, 352, 427, 374, 362, 427, 374, 501, 427, 366, 498, 722, 359, 12168, 490, 587, 361, 427, 375, 511, 427, 375, 489, 427, 374, 362, 427, 375, 495, 5236, 374, 491, 427, 367, 488, 427, 374, 492, 427, 374, 358, 427, 374, 503, 722, 359, 589, 587, 361, 427, 374, 495, 427, 374, 482, 427, 375, 356, 427, 375, 359, 5236, 375, 485, 427, 375, 361, 427, 375, 362, 427, 374, 511, 5236, 374, 491, 427, 375, 509, 405, 478, 427, 374, 376, 427, 375, 362, 427, 374, 511, 427, 374, 497, 5236, 375, 352, 405, 478, 427, 374, 362, 427, 374, 501, 427, 366, 498, 722, 359, 404, 490, 587, 361, 587, 361, 454, 587, 360, 427, 375, 511, 427, 374, 491, 427, 367, 488, 427, 374, 492, 427, 374, 358, 427, 374, 503, 722, 359, 645, 587, 361, 427, 375, 485, 427, 375, 361, 427, 375, 362, 427, 374, 511, 5236, 374, 491, 427, 375, 509, 427, 374, 376, 427, 375, 362, 427, 374, 511, 427, 374, 497, 5236, 375, 352, 427, 374, 362, 427, 374, 497, 5236, 375, 511, 427, 374, 491, 427, 374, 352, 427, 374, 359, 427, 374, 497, 5236, 375, 489, 427, 375, 510, 427, 375, 364, 5236, 374, 491, 427, 375, 371, 427, 375, 501, 427, 375, 508, 722, 359, 12168, 490, 587, 361, 427, 367, 496, 427, 374, 359, 5236, 374, 481, 427, 375, 354, 5236, 375, 497, 427, 374, 362, 427, 374, 491, 427, 375, 491, 5236, 374, 491, 427, 375, 509, 427, 375, 490, 427, 375, 368, 427, 375, 357, 405, 478, 427, 374, 498, 5236, 364, 366, 5236, 375, 360, 405, 478, 427, 374, 361, 427, 375, 358, 5236, 374, 491, 427, 367, 488, 427, 374, 492, 427, 375, 509, 405, 478, 427, 374, 498, 5236, 375, 360, 405, 478, 427, 375, 366, 587, 361, 454, 587, 360, 348, 587, 359, 12168, 490, 590, 281, 346, 295, 295, 267, 10226, 267, 8946, 267, 570, 307, 587, 361, 427, 375, 511, 427, 374, 495, 5236, 374, 492, 427, 375, 509, 427, 375, 357, 427, 374, 368, 427, 374, 496, 427, 374, 498, 5236, 375, 509, 427, 375, 510, 427, 374, 353, 427, 374, 492, 427, 374, 358, 427, 374, 503, 722, 359, 589, 587, 361, 427, 375, 497, 427, 375, 361, 427, 375, 362, 5236, 374, 352, 427, 374, 492, 427, 374, 358, 427, 374, 503, 5236, 374, 495, 427, 374, 368, 427, 375, 368, 427, 375, 480, 722, 359, 12168, 490, 587, 361, 427, 375, 367, 427, 374, 372, 427, 375, 353, 427, 375, 508, 5236, 375, 356, 427, 374, 502, 427, 375, 368, 427, 374, 510, 427, 374, 498, 5236, 375, 511, 427, 374, 491, 427, 374, 352, 427, 374, 359, 427, 374, 497, 587, 361, 454, 587, 360, 427, 375, 360, 427, 375, 366, 7684, 587, 359, 12168, 490, 589, 281, 346, 295, 295, 587, 361, 427, 374, 481, 427, 375, 365, 5236, 374, 481, 427, 375, 354, 722, 359, 12168, 490, 562, 10490, 6661, 272, 587, 361, 427, 374, 481, 427, 375, 352, 427, 374, 492, 5236, 374, 491, 427, 367, 488, 427, 374, 492, 427, 374, 358, 427, 374, 503, 722, 359, 645, 587, 361, 427, 375, 497, 427, 375, 361, 427, 375, 362, 5236, 374, 352, 427, 374, 492, 427, 374, 358, 427, 374, 503, 5236, 375, 352, 427, 374, 362, 427, 375, 505, 427, 374, 494, 5236, 375, 367, 427, 374, 372, 427, 375, 353, 427, 375, 508, 5236, 374, 505, 427, 375, 376, 427, 374, 503, 5236, 375, 356, 427, 374, 502, 427, 374, 492, 427, 374, 489, 427, 374, 508, 5236, 375, 360, 427, 375, 366, 587, 361, 454, 587, 360, 348, 587, 359, 12168, 490, 645, 281, 346, 12487, 267, 8946, 267, 670, 295, 587, 361, 427, 374, 481, 427, 375, 365, 5236, 374, 481, 427, 375, 354, 722, 359, 12168, 490, 562, 16360, 6661, 274, 587, 361, 427, 375, 511, 427, 375, 360, 427, 374, 361, 427, 374, 491, 5236, 374, 491, 427, 367, 488, 427, 374, 492, 427, 374, 358, 427, 374, 503, 5236, 367, 507, 427, 375, 506, 427, 375, 355, 5236, 374, 501, 427, 375, 502, 427, 374, 368, 427, 375, 368, 427, 375, 353, 427, 375, 359, 5236, 374, 485, 427, 365, 481, 5236, 374, 481, 427, 374, 352, 427, 374, 359, 427, 374, 491, 427, 374, 503, 5236, 374, 495, 427, 374, 368, 427, 375, 368, 427, 375, 482, 427, 374, 498, 722, 359, 269, 587, 361, 587, 361, 692, 587, 360, 1892, 5236, 374, 491, 427, 375, 375, 427, 366, 351, 427, 374, 492, 427, 374, 358, 3738, 3980, 359, 630, 587, 361, 692, 587, 360, 587, 359, 4462, 542, 587, 361, 587, 361, 692, 587, 360, 427, 375, 367, 427, 375, 490, 427, 365, 359 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6434, 273, 3418, 825, 7682, 9852, 820, 31161, 263, 31229, 31229, 267, 476, 277, 267, 476, 274, 264, 2652, 834, 332, 913, 1590, 581, 476, 272, 610, 476, 273, 10590, 3418, 825, 7682, 9852, 820, 31161, 263, 31229, 31229, 267, 476, 278, 267, 476, 272, 264, 2652, 834, 4752, 4580, 10590, 3418, 825, 7682, 9852, 820, 31161, 263, 31229, 6434, 272, 267, 476, 277, 267, 476, 272, 264, 2652, 834, 31039, 10590, 3418, 825, 1820, 834, 303, 21724, 10590, 5897, 3698, 1449, 3674, 310, 514, 28399, 825, 1820, 834, 14818, 532, 568, 310, 514, 3890, 29389, 267, 5897, 825, 7682, 263, 529, 310, 514, 263, 31229, 31229, 264, 2652, 8771, 3418, 825, 7682, 263, 529, 310, 514, 263, 12208, 31229, 264, 2652, 6936, 3418, 825, 7682, 263, 529, 310, 514, 263, 279, 1556, 25971, 264, 2652, 6936, 3418, 825, 7682, 263, 529, 310, 514, 263, 31229, 12208, 264, 2652, 6936, 3418, 825, 7682, 263, 529, 310, 514, 263, 21076, 19442, 264, 2652, 6936, 3418, 825, 7682, 263, 529, 310, 514, 263, 18891, 18891, 264, 2652, 8771, 3418, 825, 1820, 834, 303, 21724, 10590, 5897, 3698, 1449, 3674, 17359, 28399, 825, 1820, 834, 14818, 532, 568, 17359, 3890, 29389, 267, 1477, 825, 7682, 263, 529, 17359, 263, 279, 264, 2525, 16178, 3418, 825, 7682, 263, 529, 17359, 263, 31229, 31229, 264, 2652, 8771, 3418, 825, 7682, 263, 529, 17359, 263, 13199, 31229, 264, 2652, 8771, 3418, 825, 7682, 263, 529, 17359, 263, 279, 1321, 6642, 264, 2652, 8771, 3418, 825, 7682, 263, 529, 17359, 263, 31229, 13199, 264, 2652, 8771, 3418, 825, 7682, 263, 529, 17359, 263, 18891, 14338, 264, 2652, 6936, 3418, 825, 7682, 263, 529, 17359, 263, 18891, 18891, 264, 2652, 6936, 3418, 825, 1820, 834, 303, 21724, 10590, 5897, 3698, 1449, 25440, 12208, 28399, 825, 1820, 834, 14818, 532, 1404, 12208, 3890, 29389, 267, 1477, 24541, 825, 7682, 263, 2452, 12208, 263, 476, 276, 3738, 2652, 834, 31229, 6434, 281, 1133, 21129, 1639, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 276, 2641, 3738, 2652, 834, 279, 1240, 6434, 281, 1133, 21129, 1639, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 276, 2641, 1321, 3738, 2652, 834, 25908, 6434, 281, 1133, 21129, 1639, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 276, 2641, 11277, 272, 3738, 2652, 834, 21076, 6434, 281, 1133, 21129, 1639, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 276, 2641, 11277, 16318, 3738, 2652, 834, 21076, 2764, 281, 26761, 476, 273, 17993, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 276, 2641, 11277, 14681, 3738, 2652, 834, 21076, 10037, 281, 1133, 21129, 1639, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 276, 2641, 11277, 14681, 5655, 3738, 2652, 834, 21076, 2641, 281, 26761, 476, 272, 17993, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 276, 2537, 3738, 2652, 834, 31229, 6434, 281, 26761, 476, 272, 281, 1847, 1590, 581, 476, 272, 610, 476, 273, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 24423, 2537, 3738, 2652, 834, 25971, 6434, 281, 26761, 476, 273, 281, 1847, 1590, 581, 476, 272, 610, 476, 273, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 24423, 1556, 3738, 2652, 834, 25971, 6434, 281, 26761, 476, 273, 281, 13026, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 24423, 19442, 272, 3738, 2652, 834, 25248, 6434, 281, 26761, 476, 272, 281, 13026, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 24423, 8618, 3738, 2652, 834, 25971, 6434, 281, 26761, 476, 273, 281, 1055, 4580, 10590, 3418, 825, 7682, 263, 2452, 12208, 263, 476, 276, 1556, 23417, 25240, 7367, 3738, 2652, 834, 14338, 1321, 281, 570, 773, 10590, 3418, 825, 1820, 834, 303, 21724, 10590, 5897, 3698, 1449, 5472, 28399, 825, 1449, 13014, 32317, 14052, 825, 1449, 291, 13424, 15575, 14052, 825, 1449, 298, 628, 291, 13424, 14052, 825, 1449, 3725, 2897, 298, 628, 291, 13424, 14052, 825, 1449, 7476, 29381, 2865, 291, 13424, 14052, 825, 1449, 28733, 29381, 2865, 291, 13424, 14052, 825, 1449, 13014, 31161, 14052, 825, 1449, 3674, 310, 514, 14052, 825, 1449, 3674, 17359, 14052, 825, 1449, 25440, 12208, 31476, 19399, 19399, 30607, 1477, 258, 6301, 281, 596, 949, 12189, 713, 547, 2196, 1175, 519, 2694, 596, 1616, 547, 1449, 1477, 19399, 19399, 30607, 5897, 3698, 1292, 28399, 825, 12449, 14611, 14052, 825, 1449, 5472, 31476, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1292, 3890, 0, 5228, 570, 330, 5793, 1104, 27661, 258, 1323, 11582, 18258, 692, 5814, 4351, 454, 5814, 2979, 7531, 19399, 5992, 2162, 454, 258, 1323, 11582, 1362, 454, 19399, 5992, 2162, 692, 5035, 1323, 11582, 24998, 2187, 825, 1948, 3683, 20183, 891, 2409, 950, 2870, 707, 1378, 14318, 454, 825, 1219, 10856, 303, 5962, 4311, 267, 2680, 2567, 1780, 454, 825, 1219, 1883, 303, 5962, 4311, 267, 2680, 2567, 1780, 454, 825, 1219, 22245, 293, 1600, 4311, 2567, 1780, 454, 825, 1219, 2332, 4311, 2567, 1780, 454, 825, 1219, 2699, 3863, 5472, 4311, 2567, 1780, 22562, 825, 1948, 11910, 813, 269, 14725, 263, 12296, 267, 19417, 264, 547, 1205, 707, 813, 3323, 454, 825, 1219, 2196, 4311, 267, 8700, 284, 4968, 267, 4463, 284, 4968, 2187, 1038, 1948, 1711, 519, 3597, 543, 519, 17198, 454, 1038, 3597, 815, 570, 330, 4590, 1038, 1582, 9884, 5954, 815, 8700, 454, 1038, 1582, 269, 19417, 815, 4463, 454, 1038, 1582, 269, 4754, 11663, 815, 2052, 11663, 20172, 267, 8700, 284, 12296, 267, 4463, 284, 19417, 994, 1038, 1582, 269, 4754, 11663, 4877, 871, 4590, 1038, 1948, 1305, 909, 2621, 454, 1038, 1219, 2699, 3863, 5472, 310, 571, 3899, 10031, 2018, 1582, 269, 4754, 11663, 19709, 8541, 263, 17920, 994, 2018, 1582, 269, 1042, 3863, 5472, 4590, 1038, 1219, 10856, 303, 5962, 310, 571, 3899, 16216, 1203, 2187, 2018, 1582, 6230, 1787, 303, 5962, 16216, 1203, 994, 2018, 2699, 3863, 5472, 310, 571, 3899, 4590, 1038, 1219, 1883, 303, 5962, 310, 571, 3899, 16216, 1203, 2187, 2018, 1582, 269, 4486, 303, 5962, 16216, 1203, 994, 2018, 2699, 3863, 5472, 310, 571, 3899, 4590, 1038, 3597, 12500, 785, 2891, 283, 3719, 2023, 268, 272, 285, 2580, 10856, 303, 5962, 310, 571, 3899, 994, 1038, 3597, 12500, 785, 2891, 283, 7659, 285, 2580, 1883, 303, 5962, 310, 571, 3899, 994, 1038, 1948, 1305, 909, 22245, 293, 1600, 2621, 454, 1038, 1582, 6745, 25534, 293, 1600, 22013, 599, 815, 476, 7742, 1948, 1984, 1047, 6948, 454, 1038, 1219, 22245, 293, 1600, 310, 571, 3899, 10031, 2018, 1582, 6745, 25534, 293, 1600, 4590, 2018, 2699, 3863, 5472, 310, 571, 3899, 4590, 2018, 1948, 23249, 267, 1287, 1289, 22245, 293, 1600, 1586, 454, 2018, 1582, 269, 4754, 11663, 269, 12898, 4311, 6745, 25534, 293, 1600, 22013, 599, 267, 22245, 293, 1600, 310, 571, 3899, 994, 1038, 1948, 2332, 543, 1205, 22245, 293, 1600, 4881, 454, 1038, 1582, 269, 8181, 4590, 1038, 22245, 293, 1600, 310, 571, 3899, 4590, 1038, 1948, 543, 10131, 519, 813, 454, 1038, 3597, 6230, 664, 31467, 3890, 476, 1948, 901, 1289, 19154, 8016, 16775, 630, 810, 707, 1982, 3649, 1080, 2394, 596, 2673, 519, 6885, 26695, 2162, 32458, 9339, 2971, 454, 19399, 5992, 2162, 454, 258, 7780, 1006, 3252, 454, 19399, 5992, 2162, 454, 258, 952, 579, 1205, 12758, 693, 519, 1747, 950, 4946, 1899, 579, 1058, 979, 547, 1294, 519, 6085, 454, 3698, 1118, 273, 323, 8266, 263, 4900, 267, 897, 338, 2187, 825, 513, 17342, 2639, 825, 585, 4737, 538, 1535, 9792, 263, 4900, 2567, 513, 6834, 20886, 271, 30297, 3712, 338, 2639, 825, 2132, 513, 7531, 5035, 29961, 4517, 26213, 263, 2304, 11582, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 4900, 267, 3712, 338, 267, 10946, 5353, 6948, 8110, 31282, 284, 271, 2187, 1038, 1582, 269, 4900, 284, 4900, 454, 1038, 1582, 31815, 338, 284, 3712, 338, 454, 1038, 1582, 27982, 5353, 6948, 8110, 31282, 284, 10946, 5353, 6948, 8110, 31282, 28329, 825, 1948, 2332, 782, 519, 642, 4275, 7632, 454, 825, 1219, 2332, 4311, 2187, 1038, 1582, 6230, 820, 291, 582, 4517, 26213, 32317, 4590, 1038, 1582, 269, 29729, 31161, 17342, 2639, 1038, 1582, 269, 6050, 289, 1872, 284, 3553, 4590, 1038, 1582, 4877, 6974, 32156, 284, 272, 454, 1038, 1948, 1294, 713, 2186, 540, 519, 3097, 1038, 1582, 269, 572, 21124, 291, 1824, 22561, 454, 1038, 1582, 18994, 29228, 7021, 25716, 454, 825, 1948, 1711, 519, 476, 2698, 29961, 4517, 26213, 32317, 543, 948, 547, 2721, 519, 15956, 825, 454, 825, 1219, 1118, 291, 582, 4517, 26213, 32317, 4311, 2187, 1038, 1582, 269, 3250, 23917, 284, 4335, 14370, 1345, 269, 4900, 994, 1038, 1582, 269, 4580, 300, 1173, 514, 284, 1911, 454, 1038, 1582, 31715, 20238, 3780, 284, 1015, 454, 1038, 1582, 26644, 300, 1173, 514, 284, 1015, 454, 1038, 1582, 8807, 1009, 12812, 305, 578, 22561, 454, 1038, 1582, 8807, 1009, 12812, 8624, 22561, 454, 1038, 1582, 269, 548, 14410, 300, 7174, 17342, 2639, 1038, 1582, 17085, 1157, 322, 3300, 284, 271, 454, 1038, 1582, 18994, 291, 582, 306, 601, 551, 539, 25716, 454, 1038, 1582, 269, 572, 21124, 18118, 17342, 2639, 1038, 1582, 269, 16557, 5522, 16558, 17342, 271, 267, 271, 2639, 1038, 1582, 28333, 290, 3300, 284, 271, 454, 1038, 1582, 269, 4148, 1662, 15575, 284, 271, 454, 1038, 9343, 267, 3712, 338, 284, 1345, 269, 4900, 267, 1345, 31815, 338, 454, 1038, 1948, 1711, 513, 4216, 547, 4558, 519, 1919, 538, 519, 4216, 454, 1038, 513, 17342, 2639, 1038, 585, 4737, 538, 1535, 9792, 263, 4900, 268, 272, 2567, 320, 266, 17342, 314, 271, 316, 16732, 3712, 338, 268, 272, 22708, 1038, 1582, 269, 3369, 1961, 26213, 525, 30381, 454, 1038, 1948, 1711, 513, 4604, 602, 786, 4558, 782, 519, 3097, 1038, 513, 17342, 2639, 1038, 585, 4737, 538, 1535, 9792, 263, 4900, 2567, 320, 266, 17342, 314, 271, 267, 271, 30297, 3712, 338, 2639, 1038, 4604, 30381, 454, 1038, 585, 4737, 538, 1535, 9792, 263, 4900, 2187, 2018, 585, 897, 538, 1535, 9792, 263, 3712, 338, 2187, 3546, 524, 343, 284, 1582, 269, 4580, 300, 1173, 514, 266, 1345, 269, 3250, 23917, 265, 3712, 454, 3546, 2166, 284, 1582, 269, 4580, 300, 1173, 514, 266, 1345, 26644, 300, 1173, 514, 266, 1345, 269, 3250, 23917, 265, 992, 454, 3546, 4604, 314, 992, 6012, 3712, 316, 14352, 322, 343, 267, 1097, 994, 1038, 1582, 269, 4580, 284, 4580, 454, 825, 454, 825, 1219, 10856, 303, 5962, 4311, 267, 324, 1203, 2187, 1038, 952, 4311, 18994, 4002, 32317, 16216, 1203, 11859, 267, 324, 1203, 13885, 15892, 2018, 1535, 11971, 284, 324, 1203, 11859, 267, 324, 1203, 13885, 454, 2018, 1948, 1265, 519, 12297, 602, 568, 4945, 539, 454, 2018, 585, 4737, 538, 1535, 9792, 4311, 269, 4900, 2187, 3546, 585, 897, 538, 1535, 9792, 4311, 31815, 338, 2187, 7386, 12297, 311, 267, 25346, 312, 284, 1345, 269, 4580, 314, 992, 6012, 3712, 2639, 7386, 3845, 815, 2979, 28460, 263, 11274, 5560, 582, 311, 14870, 264, 1262, 273, 266, 11274, 5560, 582, 312, 3917, 264, 1262, 273, 994, 7386, 952, 3845, 27045, 1345, 31715, 20238, 3780, 265, 273, 912, 13376, 1948, 1205, 519, 4737, 543, 897, 540, 519, 12297, 602, 568, 4945, 539, 454, 4449, 11434, 1582, 8807, 1009, 12812, 305, 578, 267, 1345, 8807, 1009, 12812, 8624, 284, 992, 267, 3712, 454, 19930, 1948, 952, 649, 1265, 519, 12297, 602, 568, 4945, 539, 1289, 12297, 18208, 31262, 454, 2018, 952, 630, 1345, 8807, 1009, 12812, 8624, 256, 284, 14085, 543, 1582, 8807, 1009, 12812, 305, 578, 256, 284, 14085, 2187, 3546, 1582, 31715, 18208, 4311, 8807, 1009, 12812, 305, 578, 267, 1345, 8807, 1009, 12812, 8624, 2020, 825, 1948, 1101, 942, 596, 2046, 519, 12297, 543, 596, 786, 476, 1397, 519, 2009, 3656, 3097, 825, 1948, 476, 1847, 540, 519, 1985, 12297, 454, 825, 1219, 12297, 18208, 4311, 267, 992, 267, 3712, 2187, 1038, 1948, 2594, 519, 12297, 602, 568, 1031, 1354, 543, 1287, 979, 547, 3095, 519, 454, 1038, 1948, 2638, 972, 3884, 1405, 513, 12297, 4945, 539, 865, 649, 4558, 519, 4737, 543, 897, 538, 454, 1038, 1948, 519, 1582, 269, 572, 21124, 291, 1824, 454, 1038, 952, 1582, 18994, 291, 582, 306, 601, 551, 539, 2525, 16178, 912, 2018, 1582, 269, 572, 21124, 291, 1824, 14352, 992, 267, 3712, 994, 2018, 1582, 18994, 291, 582, 306, 601, 551, 539, 18989, 454, 2018, 1948, 1205, 782, 519, 568, 519, 682, 14410, 1847, 540, 519, 6074, 12297, 454, 2018, 1582, 269, 4148 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 2295, 2068, 267, 855, 15466, 2068, 538, 824, 2694, 540, 519, 1560, 269, 5015, 5312, 6553, 7679, 31013, 609, 7378, 1606, 793, 2718, 11444, 4611, 538, 6184, 6081, 4187, 269, 4179, 2517, 4178, 4732, 2615, 881, 26410, 2593, 270, 14835, 30032, 11987, 12641, 1132, 13045, 1607, 10416, 1797, 602, 6184, 6081, 568, 1447, 2500, 538, 3257, 922, 2816, 543, 713, 538, 9759, 568, 1018, 5012, 547, 1646, 540, 7392, 4083, 12128, 563, 1103, 25691, 4249, 513, 1463, 1909, 538, 11144, 540, 1875, 531, 4022, 545, 9761, 6797, 2068, 547, 17537, 543, 4963, 9071, 2670, 269, 3143, 6646, 568, 4867, 2500, 538, 10941, 532, 9761, 6797, 2068, 269, 7454, 1259, 547, 2061, 9761, 6797, 568, 547, 3548, 513, 2898, 3536, 2030, 1759, 2732, 269, 4179, 2517, 19256, 30440, 3820, 23218, 8721, 270, 2181, 1203, 5991, 517, 17038, 4022, 545, 19339, 1399, 2000, 1853, 1673, 1047, 848, 13045, 2467, 568, 6932, 2963, 602, 6553, 849, 4249, 513, 1883, 1909, 538, 1646, 540, 31895, 17654, 3676, 971, 607, 12216, 779, 8376, 543, 824, 632, 618, 5362, 269, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 3393, 278, 4817, 277, 274, 270, 258, 10915, 280, 454, 4002, 519, 1985, 2022, 649, 786, 1413, 693, 824, 2081, 538, 799, 519, 590, 4696, 263, 24092, 1977, 10791, 264, 8992, 5312, 6553, 269, 1284, 786, 1865, 824, 2081, 3662, 3536, 3895, 6553, 269, 1656, 267, 649, 786, 1445, 593, 519, 1909, 602, 6553, 4249, 538, 16991, 3676, 971, 607, 27131, 12263, 267, 2789, 26379, 267, 7392, 476, 272, 3987, 267, 543, 769, 11987, 15108, 2068, 563, 306, 1495, 599, 267, 5239, 476, 3066, 267, 476, 1001, 278, 454, 7922, 690, 476, 273, 269, 273, 281, 667, 8543, 454, 3963, 1058, 10683, 581, 3144, 856, 540, 938, 2732, 286, 12989, 568, 513, 1592, 540, 1896, 4128, 20483, 676, 2963, 602, 786, 1118, 519, 2013, 1996, 10683, 2312, 269, 4746, 267, 649, 786, 1865, 875, 547, 1205, 7850, 2179, 540, 25289, 689, 2030, 2959, 547, 2061, 21404, 563, 291, 8543, 3568, 15459, 3170, 543, 8501, 269, 634, 3095, 1063, 4473, 538, 8501, 543, 2295, 2068, 689, 2732, 3638, 538, 15459, 9600, 814, 1044, 5693, 3964, 269, 2368, 2487, 4930, 543, 13849, 20400, 723, 20093, 821, 3585, 20402, 713, 7681, 269, 2060, 602, 538, 2247, 267, 589, 11190, 10490, 8434, 9839, 5948, 264, 9783, 519, 1739, 28007, 281, 1234, 680, 5217, 15459, 9600, 609, 5667, 18260, 9600, 786, 2539, 519, 1981, 540, 2295, 2068, 269, 4179, 2517, 4178, 19544, 338, 874, 269, 9618, 10542, 12975, 30406, 270, 10623, 2137, 11721, 17213, 1606, 2931, 1606, 342, 777, 1606, 18260, 1922, 1846, 16519, 268, 8234, 1512, 1922, 1846, 13045, 6624, 2043, 5815, 602, 789, 946, 1236, 574, 5144, 693, 1753, 267, 865, 789, 616, 711, 865, 7255, 827, 519, 2192, 2360, 540, 10683, 593, 741, 2295, 1072, 269, 1809, 267, 8259, 596, 723, 17515, 7423, 267, 10381, 267, 543, 4672, 8645, 689, 707, 2732, 693, 1753, 543, 950, 4189, 856, 267, 596, 616, 1869, 693, 2799, 1981, 585, 2295, 2068, 267, 1317, 1256, 1970, 3170, 8747, 540, 891, 2472, 2270, 7050, 2179, 540, 15459, 3170, 543, 8501, 563, 5472, 3662, 2472, 1519, 10683, 2270, 16384, 293, 268, 272, 263, 11900, 6081, 6438, 2208, 16748, 1040, 769, 1840, 547, 8192, 28453, 540, 16384, 293, 268, 272, 267, 10683, 3940, 2417, 4679, 938, 1973, 2157, 540, 713, 2208, 3815, 676, 5009, 922, 2504, 538, 938, 6797, 269, 5015, 267, 519, 4527, 540, 32104, 10399, 538, 10800, 779, 5144, 960, 5348, 1120, 12264, 547, 2417, 6318, 16796, 2157, 540, 16384, 293, 268, 272, 538, 3425, 269, 23213, 2860, 543, 1160, 8063, 616, 3226, 6213, 547, 16384, 293, 268, 272, 269, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 32508, 270, 14895, 18025, 10157, 27244, 26392, 273, 13045, 13434, 718, 689, 3105, 5816, 267, 594, 24427, 268, 272, 711, 1152, 8992, 1646, 540, 2860, 855, 849, 11942, 922, 2208, 267, 18735, 543, 22037, 12118, 269, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 889, 4364, 270, 14862, 29876, 2190, 454, 3682, 12888, 538, 10800, 779, 5144, 267, 3226, 2013, 514, 3123, 6553, 269, 901, 949, 581, 1644, 547, 7503, 540, 2013, 514, 547, 8732, 14521, 1231, 269, 634, 3095, 1063, 5312, 1274, 5563, 538, 1453, 543, 10683, 814, 1044, 1634, 585, 936, 15823, 1296, 269, 4179, 2517, 19256, 30440, 3820, 270, 638, 5465, 7933, 8543, 7146, 268, 792, 29795, 687, 13045, 19102, 1078, 4616, 540, 3662, 2472, 267, 1519, 10683, 814, 1044, 5532, 609, 2799, 11841, 540, 10447, 269, 4179, 2517, 19256, 30440, 3820, 270, 9008, 923, 270, 553, 628, 2742, 13045, 291, 8543, 1281, 2270, 7513, 267, 855, 865, 798, 3039, 5388, 267, 3226, 2458, 731, 16719, 267, 536, 758, 669, 1195, 267, 543, 25989, 267, 607, 1134, 607, 10365, 543, 22053, 269, 1809, 7429, 10448, 3940, 267, 3662, 3940, 1519, 10683, 3940, 682, 2851, 7513, 689, 938, 7633, 269, 10960, 3940, 3568, 3152, 2179, 540, 16247, 5627, 11254, 7408, 799, 3679, 1518, 519, 1973, 543, 1291, 547, 30450, 540, 7513, 689, 7633, 269, 4179, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 9706, 889, 4364, 270, 280, 8287, 2004, 277, 277, 454, 1607, 949, 948, 2491, 1946, 4892, 5103, 10438, 2362, 2157, 540, 25289, 723, 2362, 11841, 540, 21404, 543, 12048, 18655, 982, 4457, 269, 5291, 2517, 18080, 6983, 1941, 749, 12975, 23995, 1559, 270, 1960, 277, 270, 1556, 27160, 908, 268, 1652, 24578, 520, 2173, 599, 25298, 3146, 706, 576, 268, 739, 324, 18576, 16151, 25289, 568, 1175, 835, 5057, 540, 5642, 1072, 269, 1280, 6099, 5642, 1072, 267, 596, 849, 991, 7850, 2179, 540, 12192, 667, 267, 824, 10250, 6886, 543, 2834, 3635, 269, 5291, 2517, 4178, 4877, 322, 3944, 3820, 270, 8234, 270, 8234, 31795, 923, 270, 5632, 6458, 7146, 268, 17641, 1532, 2158, 454, 4415, 7850, 8244, 540, 7513, 689, 2030, 3536, 267, 1946, 2333, 519, 1981, 540, 2295, 2068, 543, 2860, 602, 2501, 609, 10438, 10683, 2472, 888, 21547, 1258, 19153, 543, 12130, 1258, 19153, 281, 769, 930, 2081, 267, 713, 1223, 723, 1044, 938, 1101, 5816, 267, 855, 621, 7012, 1406, 269, 1924, 267, 547, 2285, 713, 1888, 519, 791, 2483, 7922, 690, 476, 274, 269, 272, 281, 27438, 2201, 519, 3105, 5816, 476, 274, 269, 271, 267, 649, 7396, 930, 540, 519, 6225, 2360, 540, 513, 2030, 1759, 2732, 269, 2201, 2221, 779, 5816, 649, 786, 9087, 2483, 7922, 690, 476, 276, 269, 271, 281, 1215, 547, 1376, 519, 3460, 547, 513, 2030, 1759, 6197, 734, 8512, 476, 272, 281, 6787, 596, 3893, 519, 6667, 547, 1376, 707, 2123, 3460, 547, 2483, 7922, 690, 476, 273, 269, 271, 281, 1548, 779, 865, 3983, 827, 3662, 3536, 286, 634, 1592, 2630, 568, 676, 1100, 1797, 29882, 267, 855, 18953, 593, 519, 811, 1455, 5739, 2498, 1815, 1862, 0, 16694, 281, 952, 596, 723, 2938, 13334, 2854, 267, 594, 6836, 4946, 513, 3381, 855, 1875, 5249, 563, 763, 11135, 540, 1520, 6929, 963, 7018, 1472, 1520, 6929, 963, 593, 4989, 476, 1691, 267, 476, 6344, 276, 1063, 10089, 326, 12579, 543, 595, 636, 753, 896, 17578, 541, 17833, 1195, 534, 540, 31697, 267, 543, 12724, 19470, 896, 25930, 7773, 594, 267, 945, 1152, 3275, 1354, 1185, 1044, 7715, 2740, 14890, 540, 31862, 267, 24027, 609, 10469, 564, 2103, 896, 1684, 613, 2037, 878, 334, 667, 663, 23383, 898, 729, 4465, 676, 519, 10089, 326, 12579, 267, 1310, 513, 3811, 5605, 2313, 563, 18814, 547, 519, 2883, 7965, 540, 519, 12724, 19470, 267, 945, 1223, 711, 23231, 519, 682, 1162, 593, 10469, 564, 1014, 11288, 267, 519, 1684, 613, 540, 24131, 267, 2037, 878, 334, 667, 663, 23383, 267, 6700, 602, 519, 20679, 540, 519, 19549, 12724, 1228, 1821, 5573, 689, 741, 5497, 3804, 540, 13243, 269, 5502, 540, 11173, 27477, 267, 593, 519, 476, 1321, 1700, 1724, 4989, 267, 1032, 476, 6344, 275, 5084, 267, 519, 3854, 540, 519, 20850, 7276, 267, 31862, 267, 729, 9676, 543, 521, 17977, 269, 26597, 2686, 16782, 941, 2901, 10032, 610, 21687, 267, 971, 607, 10723, 5931, 267, 882, 923, 267, 22251, 267, 24069, 267, 21517, 267, 1568, 540, 1148, 267, 607, 1134, 607, 1454, 5763, 269, 634, 2295, 540, 18179, 8567, 11124, 9048, 1706, 762, 3441, 267, 1312, 689, 519, 521, 871, 267, 543, 519, 11642, 3361, 676, 519, 12724, 14575, 26362, 267, 799, 8731, 3481, 811, 982, 476, 273, 270, 274, 540, 519, 2749, 269, 634, 7001, 540, 31862, 2813, 519, 5824, 7276, 267, 799, 7620, 1152, 6417, 519, 26195, 597, 976, 540, 31862, 543, 519, 11662, 540, 774, 15869, 267, 855, 5555, 9450, 883, 645, 603, 2106, 807, 267, 634, 1087, 3315, 543, 3844, 543, 7013, 10255, 563, 32481, 519, 1482, 942, 267, 17578, 541, 17833, 1195, 534, 267, 519, 17578, 541, 540, 31697, 267, 6707, 6192, 16395, 609, 15352, 26735, 12510, 8633, 269, 634, 10089, 326, 4115, 14610, 729, 11292, 519, 2140, 834, 516, 343, 2580, 1775, 4318, 269, 4622, 267, 1247, 519, 10089, 326, 4115, 2895, 29989, 6591, 519, 2140, 834, 27146, 553, 2580, 513, 2140, 3160, 547, 602, 540, 24663, 563, 8601, 519, 15151, 1434, 1894, 1063, 17833, 1195, 534, 543, 519, 1007, 5375, 3864, 20630, 832, 267, 5612, 1310, 23928, 1524, 538, 30097, 641, 1961, 267, 519, 4678, 1231, 7150, 741, 5910, 5014, 593, 10089, 326, 4115, 3338, 269, 5824, 29843, 3459, 15385, 519, 8473, 547, 10788, 720, 10089, 326, 4115, 10034, 543, 14252, 269, 1452, 11350, 580, 5166, 3527, 18617, 17833, 1195, 534, 602, 606, 19710, 609, 519, 4678, 1231, 729, 7543, 543, 602, 621, 729, 2556, 547, 1265, 16167, 689, 1851, 519, 16380, 540, 774, 15869, 602, 1185, 2943, 547, 581, 22482, 676, 519, 29843, 269, 769, 519, 5162, 540, 476, 6344, 275, 268, 6344, 276, 3190, 12310, 540, 519, 2199, 5259, 18211, 7100, 10272, 17833, 1195, 534, 543, 606, 19710, 729, 4646, 563, 1103, 519, 5614, 540, 476, 6344, 276, 267, 9894, 2096, 1774, 747, 334, 543, 1520, 6929, 963, 15148, 1540, 267, 4553, 4166, 1310, 676, 519, 30810, 540, 774, 15869, 14890, 25930, 7773, 594, 22415, 1117, 1010, 7952, 5087, 543, 6603, 1520, 6929, 963, 676, 519, 1439, 540, 4728, 5861, 2632, 514, 826, 7335, 0, 763, 5589, 760, 20934, 6396, 540, 13719, 20381, 1201, 3555, 7634, 2488, 513, 2241, 6325, 1505, 585, 12220, 1141, 519, 6207, 17909, 547, 1271, 18195, 832, 543, 606, 2079, 540, 519, 29702, 538, 519, 18195, 832, 616, 2838, 538, 1469, 269, 634, 3178, 19106, 568, 1759, 593, 606, 2038, 630, 4350, 272, 264, 1523, 267, 17941, 1934, 519, 942, 3829, 267, 799, 15320, 5594, 689, 519, 8488, 6066, 269, 634, 9819, 540, 519, 1367, 942, 31398, 2195, 543, 540, 519, 22621, 2951, 2053, 1369, 519, 18195, 528, 2154, 1152, 2241, 10230, 19106, 269, 9747, 267, 519, 1505, 568, 1360, 5078, 585, 6296, 5619, 5773, 538, 799, 946, 568, 1500, 540, 12432, 6991, 2474, 585, 1617, 559, 599, 1229, 936, 321, 6324, 839, 269, 634, 4493, 543, 5773, 540, 519, 5589, 760, 20934, 6396, 616, 4843, 1927, 609, 1806, 20515, 519, 3498, 540, 519, 1505, 543, 519, 4480, 540, 6991, 2079, 269, 0, 14294, 24493, 610, 19193, 454, 25721, 860, 7497, 1299, 28613, 454, 289, 1043, 5530, 7457, 1559, 454, 289, 17156, 676, 519, 8865, 454, 2419, 3420, 1299, 4004, 542, 4675, 15533, 454, 23991, 23861, 1299, 11473, 454, 294, 516, 7566, 21998, 1299, 570, 847, 338, 454, 11990, 717, 269, 30215, 25315, 956, 454, 24523, 1299, 23866, 15733, 454, 2704, 6495, 26102, 23549, 454, 22913, 7734, 15099, 454, 20464, 12313, 5903, 454, 300, 573, 5130, 7981, 338, 454, 299, 622, 5130, 7981, 338, 454, 19530, 762, 11352, 4813, 454, 28716, 2974, 538, 674, 4532, 770, 548, 454, 258, 1948, 299, 1012, 655, 2511, 6889, 321, 4650, 281, 476, 271, 282, 257, 11417, 288, 15019, 11752, 540, 519, 1715, 11620, 454, 8139, 519, 1715, 11620, 568, 513, 18447, 855, 3078, 4305, 269, 3776, 1158, 568, 865, 1114, 689, 602, 540, 519, 1101, 2540, 269, 634, 10571, 267, 2951, 267, 4938, 566, 267, 543, 2688, 540, 13400, 3197, 616, 782, 4914, 547, 721, 269, 8616, 621, 568, 1271, 547, 1174, 519, 2796, 543, 1543, 540, 519, 1715, 11620, 952, 649, 616, 547, 581, 21705, 13794, 540, 4906, 2441, 563, 288, 15019, 11752, 540, 519, 1715, 11620, 568, 2966, 547, 948, 8723, 1004, 10802, 741, 1620, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 4389, 6174, 2773, 267, 610, 1256, 1761, 3106, 4220, 563, 24868, 725, 540, 519, 21121, 609, 1401, 17474, 8672, 543, 741, 6399, 902, 454, 4407, 519, 2596, 6906, 609, 608, 17474, 1448, 5713, 607, 513, 2489, 9963, 267, 972, 616, 930, 7648, 540, 713, 3090, 602, 5815, 1808, 2042, 269, 4197, 891, 7648, 666, 1683, 513, 811, 5730, 5868, 540, 519, 1966, 563, 272, 269, 8617, 21121, 609, 1401, 17474, 8672, 454, 2026, 5018, 4505, 267, 519, 2834, 6906, 609, 606, 608, 17474, 1448, 568, 513, 2489, 9963, 1129, 269, 898, 6920, 513, 1966, 267, 855, 711, 519, 1808, 1826, 269, 898, 1223, 581, 1644, 547, 1022, 1062, 538, 707, 1286, 1107, 2599, 267, 26039, 267, 18646, 267, 5122, 267, 610, 1256, 519, 5714, 2157, 563, 273, 269, 21121, 609, 1401, 17474, 8672, 18738, 513, 17781, 454, 2691, 519, 6906, 609, 606, 608, 17474, 1448, 568, 4092, 3330, 513, 5858, 267, 621, 2356, 6920, 513, 1966, 609, 519, 6174, 779, 6617, 1852, 1062, 269, 901, 1062, 2337, 596, 2226, 1852, 540, 707, 6174, 1282, 1978, 6117, 2175, 267, 899, 950, 596, 2461, 1818, 8325, 7140, 610, 6117, 593, 31868, 2044, 9897, 269, 589, 13337, 538, 713, 1062, 666, 3648, 1860, 707, 6174, 779, 7829, 543, 2949, 3106, 563, 274, 269, 21121, 609, 1401, 17474, 8672, 543, 606, 1488, 992, 15907, 898, 454, 2252, 519, 6906, 609, 606, 608, 17474, 1448, 3090, 568, 11303, 676, 606, 15561, 267, 713, 3335, 18575, 606, 3390, 609, 707, 14640, 2000, 1442, 4858, 6362, 3590, 630, 5723, 306, 1040, 901, 1062, 11151, 519, 14743, 689, 1327, 6362, 909, 543, 2337, 2226, 23376, 1852, 1282, 606, 6595, 3247, 610, 950, 29584, 593, 513, 31868, 2044, 2627, 269, 1323, 3390, 609, 519, 589, 7034, 666, 14207, 707, 6174, 779, 16069, 1379, 543, 1852, 563, 1432, 17832, 7970, 519, 21121, 609, 1401, 17474, 8672, 13507, 286, 630, 663, 15783, 674, 1460, 525, 994, 763, 6906, 609, 519, 608, 17474, 1448, 3090, 6411, 607, 513, 4585, 995, 2366, 514, 601, 585, 1585, 1949, 538, 707, 1286, 267, 10332, 532, 596, 950, 1945, 568, 856, 540, 1931, 269, 2755, 713, 3090, 5713, 607, 513, 2489, 9963, 267, 621, 2356, 4991, 15427, 676, 513, 19625, 540, 1455, 2152, 267, 5097, 1644, 547, 7344, 2042, 267, 5907, 1062, 6959, 267, 543, 1978, 2825, 2175, 563, 303, 6372, 20996, 12983, 454, 9288, 22817, 2152, 616, 3335, 3361, 676, 3339, 5957, 543, 15237, 267, 13385, 5826, 267, 610, 5663, 12889, 269, 3371, 616, 930, 1455, 7344, 2042, 602, 666, 9594, 519, 9963, 6906, 912, 272, 269, 5422, 12983, 454, 25811, 5829, 2042, 971, 607, 23986, 908, 267, 1970, 3282, 2604, 267, 610, 513, 1713, 6749, 538, 2773, 666, 19334, 519, 9963, 6906, 563, 28444, 675, 519, 2599, 3282, 1377, 568, 1369, 519, 5227, 2039, 585, 2152, 899, 23986, 908, 610, 1970, 3282, 2604, 269, 1403, 519, 2599, 5170, 547, 936, 17742, 267, 621, 779, 2629, 547, 3247, 519, 6174, 543, 1450, 519, 2599, 547, 3579, 1524, 547, 2061, 4049, 3441, 269, 769, 1312, 2665, 267, 3318, 948, 1058, 581, 8179, 547, 8207, 519, 3390, 18385, 563, 273, 269, 4858, 6362, 3590, 454, 2252, 519, 29584, 1062, 568, 519, 27521, 267, 2638, 519, 20347, 5714, 1377, 543, 2327, 621, 779, 1369, 519, 5227, 2039, 269, 4746, 267, 723, 513, 3318, 8524, 707, 20347, 21181, 543, 519, 2949, 20347, 1062, 585, 1761, 2152, 563, 15152, 8882, 3836, 610, 936, 8882, 3836, 18646, 543, 12483, 14047, 999, 610, 1713, 5957, 666, 9594, 519, 9963, 6906, 563, 28444, 675, 707, 18646, 616, 1102, 3836, 547, 519, 5227, 2604, 267, 2356, 1336, 538, 707, 6174, 779, 8261, 610, 593, 513, 6529, 518, 3330, 519, 9920, 779, 7450, 269, 1403, 972, 779, 513, 14047, 675, 267, 519, 12483, 1058, 581, 30465, 610, 8719, 5612, 563, 16978, 3055, 3590, 8210, 5558, 454, 16978, 3055, 1062, 6959, 666, 581, 9875, 547, 13209, 982, 7344, 2152, 269, 1717, 267, 2413, 10368, 2645, 666, 948, 2697, 519, 3390, 811, 8308, 269, 2368, 1455, 5907, 2152, 1331, 912, 272, 269, 32190, 674, 841, 999, 454, 288, 10368, 11571, 1907, 666, 2697, 799, 9300, 568, 29840, 532, 269, 4495, 4857, 267, 519, 25768, 9300, 666, 581, 8719, 610, 30465, 676, 513, 3318, 563, 273, 269, 12229, 3794, 9662, 454, 17457, 6472, 8185, 7048, 593, 3301, 547, 4383, 1585, 3252, 269, 1403, 513, 3301, 1350, 3558, 4386, 267, 621, 1522, 9594, 519, 9963, 6906, 563, 1103, 519, 2013, 540, 3301, 1350, 9662, 267, 513, 6174, 19268, 610, 3301, 9337, 949, 4194, 519, 1966, 269, 901, 568, 1655, 2944, 676, 513, 3318, 547, 2057, 1022, 26516, 4539, 563, 274, 269, 15379, 3281, 9426, 674, 841, 999, 454, 293, 841, 999, 538, 5122, 3334, 899, 519, 3124, 1807, 267, 6007, 267, 610, 11443, 666, 849, 19334, 519, 9963, 6906, 563, 2690, 2152, 609, 519, 6007, 610, 3124, 1807, 267, 513, 3318, 666, 1449, 891, 3334, 547, 3313, 952, 789, 991, 10682, 269, 1280, 11443, 2152, 267, 513, 9488, 14791, 543, 7816, 540, 519, 11443, 1062, 1058, 581, 5645, 856, 676, 513, 3318, 563, 26807, 2825, 2188, 666, 849, 2014, 519, 9963, 6906, 547, 1769, 909, 269, 901, 568, 1317, 3665, 2175, 666, 2014, 519, 6174, 779, 1949, 547, 7500, 3544, 540, 741, 3044, 6724, 269, 2368, 540, 891, 2188, 1331, 912, 272, 269, 26184, 31301, 2137, 454, 25802, 1164, 610, 1970, 5210, 666, 1860, 707, 1286, 779, 2599, 267, 6007, 267, 18646, 267, 543, 824, 1949, 269, 1280, 3236, 267, 5393, 1970, 5210, 666, 2569, 6007, 2773, 267, 24254, 519, 9963, 6906, 563, 1103, 519, 2013, 540, 3665, 5210, 267, 2119, 547, 6288, 707, 6174, 538, 513, 1352, 2741, 1229, 4087, 547, 2149, 621, 689, 519, 2609, 269, 1403, 519, 9963, 6906, 26251, 267, 621, 949, 5815, 606, 5817, 3390, 602, 2115, 3318, 3007, 563, 273, 269, 4400, 16816, 6421, 454, 4263, 1164, 31556, 267, 519, 2011, 5860, 11081, 267, 799, 666, 1860, 2599, 2773, 543, 2014, 519, 9963, 6906, 547, 1769, 909, 563, 2252, 596, 2461, 6117, 693, 1164, 31556, 543, 519, 9963, 6906, 8279, 909, 267, 2015, 5275, 3318, 5796, 269, 7073, 6472, 616, 2966, 547, 4188, 547, 2242, 538, 15820, 267, 543, 519, 9963, 3090, 1223, 5815, 513, 1966, 609, 713, 1062, 563, 274, 269, 681, 965, 10003, 338, 610, 5510, 268, 5802, 532, 454, 7804, 1516, 593, 11315, 9897, 610, 1055, 268, 5802, 666, 2566, 707, 6174, 779, 20022, 543, 824, 3334, 267, 5732, 24254, 519, 9963, 6906, 563, 2252, 519, 9963, 6906, 8279, 909, 1247, 6117, 593, 11315, 9897, 610, 1055, 268, 5802, 267, 621, 1223, 1611, 707, 6174, 779, 20022, 610, 824, 1949, 616, 10010, 609, 519, 2175, 269, 769, 713, 2013, 267, 3318, 14791, 543, 3028, 1522, 581, 2556, 269, 0, 28606, 17067, 713, 4832, 267, 519, 5253, 1299, 10684, 10029, 630, 293, 6395, 264, 9783, 8908, 5583, 585, 1346, 15388, 519, 946, 540, 20369, 32676, 923, 547, 1521, 1978, 3978, 2564, 2175, 1519, 2101, 19591, 4524, 267, 17971, 267, 543, 6219, 946, 4713, 269, 901, 568, 519, 1360, 1101, 942, 519, 15111, 814, 3177, 5583, 547, 519, 2479, 3395, 1592, 540, 9988, 10647, 1382, 593, 891, 6417, 6878, 585, 519, 3483, 540, 4259, 909, 4791, 8062, 563, 763, 15111, 814, 6444, 543, 17019, 519, 3621, 2146, 779, 2810, 1719, 538, 519, 1761, 9354, 2640, 540, 20369, 32676, 545, 7135, 269, 898, 814, 849, 6444, 267, 2705, 267, 519, 2591, 538, 3384, 4791, 2090, 2519, 593, 519, 3106, 543, 7145, 540, 713, 1920, 540, 5061, 269, 3220, 269, 570, 858, 1415, 674, 1105, 7748, 267, 519, 8689, 540, 519, 10406, 540, 24741, 538, 519, 15111, 779, 4741, 585, 10684, 16214, 543, 3194, 814, 29499, 593, 519, 3355, 9153, 540, 519, 946, 540, 20369, 32676, 923, 267, 855, 849, 11727, 602, 9153, 676, 2566, 532, 602, 891, 616, 1869, 968, 514, 4034, 580, 1049, 2472, 1848, 769, 13629, 713, 5583, 267, 519, 15111, 814, 1305, 8521, 1018, 621, 12034, 607, 519, 9867, 2591, 538, 9591, 20369, 32676, 545, 3075, 3292, 543, 814, 3177, 513, 5943, 593, 875, 547, 1491, 593, 891, 2591, 269, 3220, 269, 674, 1105, 7748, 7150, 602, 968, 1492, 3804, 568, 547, 948, 3173, 1374, 2090, 602, 786, 6556, 4612, 762, 2164, 602, 786, 581, 5827, 540, 5885, 2104, 3075, 3156, 3034, 1607, 5583, 568, 513, 2556, 3210, 547, 519, 3395, 1857, 1489, 540, 519, 946, 540, 20369, 32676, 923, 547, 1521, 2564, 2175, 543, 4713, 267, 607, 1134, 607, 519, 2564, 2146, 779, 2810, 1719, 538, 5275, 856, 2126, 2409, 602, 4125, 20369, 32676, 923, 269, 1306, 649, 4080, 1394, 538, 5130, 267, 972, 568, 16048, 3621, 2963, 630, 10175, 2090, 267, 1237, 10094, 267, 543, 2046, 13847, 689, 519, 15111, 264, 11744, 602, 20369, 32676, 545, 1315, 1303, 515, 8328, 5574, 666, 581, 6035, 538, 513, 2922, 543, 6417, 1604, 267, 609, 606, 5140, 1967, 2557, 269, 5525, 723, 3254, 602, 971, 5574, 723, 1044, 3811, 585, 2550, 7092, 689, 513, 2647, 5044, 540, 22074, 1519, 8213, 267, 15779, 2634, 5945, 267, 4965, 267, 543, 17971, 269, 634, 2165, 20369, 32676, 545, 568, 1031, 538, 519, 2487, 15111, 5583, 607, 695, 2180, 663, 547, 1331, 865, 1572, 968, 5035, 545, 892, 20369, 32676, 923, 267, 3335, 27666, 559, 7514, 16535, 543, 30897, 21544, 3679, 1019, 14007, 29524, 630, 11862, 291, 1070, 607, 1134, 607, 1303, 716, 11077, 610, 26003, 11077, 971, 607, 18861, 2989, 8610, 2096, 996, 2086, 2867, 8533, 630, 13270, 7246, 1916, 4407, 11337, 8533, 630, 534, 15111, 9516, 606, 20469, 264, 568, 849, 4742, 2442, 1851, 19353, 585, 8396, 1154, 4965, 267, 621, 568, 711, 15111, 9516, 585, 519, 2126, 540, 1022, 17867, 4524, 543, 568, 711, 9619, 538, 519, 5063, 5950, 5583, 269, 1717, 267, 513, 1808, 12045, 540, 11337, 8533, 267, 799, 568, 1634, 607, 1975, 9545, 6737, 630, 525, 8208, 8533, 1070, 568, 513, 21480, 8633, 6417, 6219, 602, 729, 9516, 676, 15111, 538, 476, 1001, 280, 607, 513, 17725, 10936, 585, 2126, 15033, 4965, 538, 4079, 543, 4079, 609, 2101, 19591, 4524, 609, 8650, 29047, 1361, 566, 610, 2623, 267, 538, 14966, 609, 606, 5711, 24196, 656, 563, 11679, 559, 7514, 16535, 5170, 547, 2744, 8560, 538, 519, 1382, 4259, 547, 1521, 14715, 543, 2790, 1072, 2175, 269, 6168, 513, 1032, 3516, 267, 519, 15111, 9516, 606, 3329, 1049, 1007, 3075, 3498, 799, 1131, 1450, 585, 4791, 4152, 540, 27666, 559, 7514, 16535, 585, 1346, 7092, 689, 30604, 269, 2859, 543, 811, 1533, 543, 2199, 6608, 616, 849, 5466, 519, 946, 540, 20369, 32676, 923, 769, 2904, 540, 476, 1001, 280, 267, 28631, 267, 12548, 1232, 17964, 1242, 27666, 559, 7514, 16535, 269, 7788, 1488, 4011, 267, 12309, 267, 24622, 969, 4068, 267, 12590, 267, 6115, 667, 5861, 1421, 22208, 267, 6115, 267, 543, 11062, 267, 12590, 723, 849, 1232, 17964, 1242, 519, 15896, 267, 946, 267, 543, 18640, 540, 20369, 32676, 545, 17228, 269, 14822, 267, 609, 519, 8574, 540, 476, 1708, 271, 779, 11831, 582, 12763, 476, 11820, 267, 729, 519, 1101, 1533, 547, 18005, 1232, 17964, 1125, 27666, 559, 7514, 16535, 543, 3656, 1125, 922, 946, 538, 513, 9354, 4259, 269, 12548, 5293, 2147, 9086, 538, 476, 1708, 273, 269, 769, 5130, 540, 713, 1032, 267, 606, 13325, 1876, 20447, 6069, 9086, 1131, 1305, 909, 513, 1533, 22257, 8116, 602, 1131, 18973, 543, 1118, 7840, 3823, 519, 11865, 540, 27666, 559, 7514, 16535, 2533, 267, 1305, 909, 24416, 547, 5478, 610, 1449, 27666, 559, 7514, 16535, 2472, 267, 7500, 3028, 7740, 267, 543, 3927, 1232, 17964, 1125, 27666, 559, 7514, 16535, 563, 763, 6101, 15111, 5583, 568, 2943, 1776, 1900, 4464, 538, 519, 2479, 4657, 5251, 540, 1857, 543, 15424, 10343, 540, 519, 2640, 540, 20369, 32676, 545, 1315, 1303, 515, 8328, 1759, 11257, 585, 2550, 10478, 585, 811, 7096, 543, 2500, 5574, 269, 634, 15111, 4867, 814, 606, 1930, 6085, 1974, 630, 2056, 593, 4864, 476, 1839, 267, 476, 1708, 274, 264, 543, 1346, 538, 519, 2872, 1058, 1118, 741, 9739, 4862, 269, 2755, 8716, 3356, 5170, 267, 891, 6878, 2611, 10363, 896, 5313, 1876, 543, 27666, 559, 7514, 16535, 267, 700, 16256, 267, 543, 11022, 7246, 616, 2808, 513, 21480, 594, 6878, 896, 519, 2552, 9776, 15240, 1734, 2920, 630, 3698, 1441, 607, 513, 6219, 799, 814, 513, 1164, 1761, 585, 6057, 543, 1100, 4867, 7608, 2564, 946, 1916, 4467, 3966, 625, 945, 6999, 547, 2932, 20369, 32676, 923, 1382, 1590, 581, 6297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1582, 269, 638, 5465, 815, 2055, 454, 1038, 1582, 269, 638, 5465, 15461, 318, 2532, 815, 16432, 12774, 314, 339, 8084, 16182, 6012, 262, 23896, 268, 1749, 262, 6540, 1038, 1948, 2422, 519, 4351, 9074, 547, 4351, 1125, 519, 1931, 540, 519, 2055, 547, 2307, 454, 1038, 4351, 11075, 28984, 4311, 269, 638, 5465, 15461, 318, 2532, 2020, 825, 1219, 2196, 318, 638, 714, 4311, 2187, 1038, 5727, 4147, 1505, 547, 2196, 519, 13658, 3236, 543, 7024, 519, 6060, 543, 519, 2039, 15481, 630, 15893, 540, 2055, 4280, 264, 29185, 1038, 1948, 16294, 6060, 547, 1376, 693, 476, 271, 543, 4679, 609, 1142, 2953, 2626, 454, 1038, 6060, 815, 476, 271, 454, 1038, 1948, 16294, 2039, 15481, 607, 519, 1297, 540, 2055, 547, 581, 4280, 267, 3193, 532, 856, 693, 476, 1015, 547, 1832, 519, 7688, 2110, 454, 1038, 2039, 15481, 815, 1295, 263, 1015, 267, 7003, 4311, 269, 638, 5465, 15461, 318, 2532, 4917, 1038, 585, 4994, 538, 2039, 263, 9792, 15481, 2187, 2018, 1699, 318, 23896, 815, 1582, 269, 638, 5465, 10947, 4311, 269, 638, 5465, 15461, 318, 2532, 27709, 7481, 2018, 2312, 4590, 2018, 1948, 634, 2307, 318, 23896, 1599, 8255, 543, 7024, 6936, 270, 16178, 585, 513, 3799, 264, 2953, 270, 4532, 8091, 2626, 267, 952, 2953, 2333, 519, 6060, 454, 2018, 952, 2307, 318, 23896, 263, 9690, 318, 23896, 267, 4994, 1341, 476, 272, 267, 2039, 15481, 2187, 3546, 6060, 6834, 476, 272, 454, 2018, 3403, 3488, 10938, 1022, 1883, 547, 3136, 1412, 2020, 1038, 2132, 6060, 267, 2039, 15481, 692, 3698, 4452, 19553, 5459, 6958, 3796, 28949, 12803, 5332, 1868, 2187, 825, 5727, 25547, 1161, 835, 610, 811, 3758, 4408, 543, 7024, 513, 1592, 540, 21594, 267, 1142, 8675, 8204, 519, 9115, 540, 1142, 3758, 269, 29185, 825, 4611, 318, 2903, 338, 815, 11713, 825, 585, 3758, 538, 3758, 5332, 1868, 912, 1038, 609, 1930, 31526, 264, 607, 3758, 318, 15953, 912, 2018, 1699, 318, 2903, 815, 795, 5459, 269, 2903, 31526, 318, 15953, 994, 2018, 4611, 318, 2903, 338, 6910, 263, 9690, 318, 2903, 994, 8931, 825, 2132, 4611, 318, 2903, 338, 692, 3698, 2307, 318, 23896, 263, 23896, 267, 2243, 20311, 267, 2698, 318, 638, 5465, 2187, 825, 5727, 1306, 802, 519, 2243, 5293, 538, 547, 519, 3593, 543, 7024, 6936, 270, 16178, 952, 12943, 7157, 270, 4532, 8091, 569, 6606, 8173, 8931, 825, 1948, 8073, 606, 8900, 1592, 602, 786, 581, 20651, 609, 519, 2243, 781, 3681, 543, 1287, 3411, 1194, 454, 825, 3681, 815, 11713, 825, 585, 4781, 538, 2243, 9131, 9953, 687, 262, 4940, 11161, 10031, 1038, 3681, 6910, 263, 641, 5406, 994, 825, 4351, 11075, 28984, 263, 9953, 687, 2020, 825, 1948, 8073, 513, 24042, 609, 519, 1101, 476, 278, 5022, 540, 519, 9904, 454, 825, 5022, 815, 18011, 320, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 323, 3299, 1412, 324, 3299, 1412, 325, 3299, 1412, 326, 5073, 825, 1948, 634, 695, 4428, 1194, 318, 9953, 687, 8675, 786, 723, 519, 3681, 538, 4351, 1931, 454, 825, 695, 4428, 1194, 318, 9953, 687, 815, 31460, 825, 585, 4994, 538, 2039, 12759, 263, 9953, 687, 15892, 1038, 695, 4428, 1194, 318, 9953, 687, 314, 24393, 27709, 14963, 815, 3681, 27709, 6540, 825, 1948, 7179, 519, 2243, 5401, 454, 825, 1820, 6600, 262, 910, 630, 346, 23896, 20311, 348, 270, 346, 20135, 318, 638, 5465, 16585, 2715, 23896, 14277, 23896, 19312, 348, 17210, 825, 1948, 7179, 695, 4428, 1194, 318, 9953, 687, 585, 519, 3593, 547, 3442, 689, 454, 825, 585, 1883, 267, 1871, 538, 695, 4428, 1194, 318, 9953, 687, 29096, 10031, 1038, 1820, 6600, 262, 315, 339, 346, 4486, 20467, 2715, 7407, 348, 17210, 825, 1948, 16294, 519, 2953, 318, 24987, 689, 519, 2243, 1843, 454, 825, 2953, 318, 24987, 815, 2243, 9131, 9953, 687, 262, 6012, 23896, 9131, 24987, 11172, 2639, 825, 1948, 32653, 3593, 585, 3403, 676, 1210, 519, 24019, 17750, 1599, 454, 825, 3593, 17750, 815, 24019, 17750, 3488, 11767, 707, 2626, 22570, 262, 336, 32075, 547, 16718, 2567, 22207, 1592, 263, 3333, 4428, 1194, 318, 9953, 687, 269, 12399, 3890, 4917, 825, 1948, 16294, 519, 3593, 318, 753, 518, 689, 3411, 1194, 318, 9953, 687, 454, 825, 3593, 318, 24987, 815, 695, 4428, 1194, 318, 9953, 687, 314, 12528, 17750, 2639, 8931, 825, 1948, 14424, 4267, 547, 3313, 952, 2953, 270, 4532, 8091, 543, 2132, 6936, 270, 16178, 6606, 454, 825, 952, 3593, 318, 24987, 2652, 2953, 318, 24987, 912, 1038, 1820, 28361, 333, 6546, 32075, 338, 2953, 256, 6153, 2816, 256, 315, 333, 5073, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 1820, 6600, 262, 315, 333, 2791, 3592, 3893, 621, 256, 634, 1318, 2626, 729, 834, 346, 322, 8091, 318, 24987, 348, 2668, 315, 333, 5073, 1038, 2132, 8771, 692, 3698, 1711, 318, 4818, 6150, 12774, 263, 638, 5465, 267, 3584, 267, 2250, 5334, 13990, 2187, 825, 5727, 8073, 16432, 1239, 689, 519, 9115, 16041, 689, 519, 2055, 267, 3584, 267, 543, 2250, 5334, 13990, 6119, 8173, 8931, 825, 1948, 12861, 606, 8900, 8675, 602, 786, 5555, 581, 1031, 547, 1711, 519, 10950, 3349, 454, 825, 16432, 12774, 815, 31460, 825, 1948, 3399, 11423, 538, 519, 10950, 318, 2457, 318, 16769, 1592, 609, 519, 3584, 454, 825, 585, 1297, 267, 1888, 538, 3584, 29096, 10031, 1038, 16432, 12774, 314, 15893, 316, 815, 2715, 1412, 339, 8084, 9166, 1888, 7684, 692, 825, 1948, 2561, 754, 835, 2063, 6221, 585, 834, 718, 257, 3584, 267, 649, 946, 703, 32384, 6025, 641, 923, 4297, 543, 1039, 476, 272, 2094, 519, 1297, 540, 3584, 538, 3584, 12459, 5459, 1522, 4268, 454, 825, 16432, 12774, 314, 1598, 12759, 263, 4818, 6150, 12774, 264, 1341, 476, 272, 13580, 815, 2715, 1412, 339, 8084, 9166, 1412, 718, 262, 7684, 454, 825, 1948, 19130, 538, 519, 16432, 12774, 8675, 609, 519, 6967, 1239, 689, 519, 2055, 543, 2250, 5334, 13990, 3615, 630, 2181, 16227, 16041, 689, 6119, 994, 825, 585, 1239, 318, 4486, 267, 1239, 19056, 538, 16432, 12774, 29096, 3890, 1384, 1038, 1239, 19056, 14277, 23896, 268, 1749, 19312, 815, 11713, 1038, 952, 1239, 19056, 14277, 339, 8084, 19312, 11203, 1412, 718, 12466, 2018, 585, 1883, 267, 1871, 538, 2055, 29096, 10031, 3546, 952, 1239, 19056, 14277, 339, 8084, 19312, 538, 1871, 14277, 9008, 923, 257, 14158, 7386, 1239, 19056, 14277, 23896, 268, 1749, 257, 4940, 6572, 31107, 994, 1038, 3116, 912, 2018, 585, 1883, 267, 1871, 538, 2055, 29096, 10031, 3546, 1239, 19056, 14277, 23896, 268, 1749, 257, 4940, 6572, 31107, 2020, 1038, 1239, 19056, 9131, 638, 5465, 28029, 11172, 815, 7003, 16597, 19056, 9131, 23896, 268, 1749, 262, 7481, 1038, 1239, 19056, 9131, 335, 770, 1606, 14537, 11172, 815, 2250, 5334, 13990, 10947, 16597, 318, 4486, 2020, 825, 2132, 16432, 12774, 692, 3698, 1820, 16062, 4372, 318, 2457, 263, 4818, 6150, 12774, 2187, 825, 5727, 570, 1389, 538, 519, 16432, 12774, 543, 1281, 930, 11249, 547, 1820, 519, 10950, 2985, 547, 519, 813, 29185, 825, 3349, 4671, 527, 956, 815, 18358, 339, 8084, 3299, 1412, 638, 5465, 3299, 1412, 2181, 2365, 6060, 23300, 825, 1948, 16294, 519, 3259, 540, 519, 13074, 2140, 630, 1721, 3349, 521, 1944, 2663, 593, 994, 825, 3193, 28747, 815, 7003, 32384, 6025, 762, 4671, 527, 956, 267, 1883, 284, 6352, 4917, 825, 1948, 14424, 3193, 2140, 3259, 547, 3584, 13080, 547, 3313, 799, 835, 547, 946, 22791, 275, 1317, 540, 519, 1003, 3130, 540, 1142, 2140, 994, 825, 585, 1871, 538, 16432, 12774, 269, 11161, 10031, 1038, 952, 7003, 263, 7407, 9131, 339, 8084, 262, 8079, 1341, 476, 275, 3436, 3193, 28747, 912, 2018, 3193, 28747, 815, 7003, 263, 7407, 9131, 339, 8084, 262, 8079, 1341, 476, 275, 692, 825, 1820, 3488, 8702, 547, 707, 5124, 4804, 2561, 256, 315, 333, 5073, 825, 1820, 3488, 15675, 513, 1888, 547, 2689, 543, 596, 786, 581, 4280, 513, 3193, 540, 476, 1015, 2055, 829, 2196, 269, 6153, 9939, 256, 315, 333, 17210, 825, 1948, 7179, 3349, 10643, 454, 825, 1820, 3488, 347, 2715, 271, 281, 3867, 10946, 28747, 3686, 1923, 2715, 272, 281, 3867, 10946, 28747, 3686, 1923, 2715, 273, 281, 3867, 10946, 28747, 3686, 1923, 7055, 1038, 1547, 8971, 18692, 2018, 3349, 4671, 527, 956, 314, 271, 4940, 27583, 263, 13211, 2018, 3349, 4671, 527, 956, 314, 272, 4940, 27583, 263, 13211, 2018, 3349, 4671, 527, 956, 314, 273, 4940, 27583, 263, 13211, 2018, 3193, 28747, 284, 10946, 28747, 994, 1038, 25589, 825, 1948, 7179, 3349, 9343, 454, 825, 585, 1883, 267, 1871, 538, 16432, 12774, 29096, 10031, 1038, 1820, 3488, 347, 2715, 271, 281, 346, 10946, 28747, 3686, 1923, 2715, 272, 281, 3867, 10946, 28747, 3686, 1923, 2715, 273, 281, 3867, 10946, 28747, 3686, 1923, 7055, 2018, 1547, 8971, 18692, 3546, 535, 262, 346, 4486, 20467, 2715, 7407, 14277, 339, 8084, 257, 4940, 27583, 3890, 348, 22779, 3546, 1871, 9131, 638, 5465, 28029, 11172, 2676, 3546, 1871, 10947, 3488, 335, 770, 1606, 14537, 3299, 1412, 10807, 610, 15234, 2676, 3546, 3193, 28747, 284, 10946, 28747, 994, 2018, 25589, 3698, 24019, 17750, 9638, 668, 696, 267, 4570, 318, 9953, 687, 267, 1871, 15461, 318, 10181, 8782, 336, 10807, 1384, 825, 1948, 32653, 519, 3593, 585, 3403, 454, 825, 3593, 17750, 815, 3403, 9638, 668, 696, 994, 825, 1948, 594, 614, 622, 998, 519, 1247, 8520, 2394, 519, 3593, 17750, 568, 4570, 630, 663, 2132, 4570, 3403, 1070, 610, 952, 519, 1871, 15461, 318, 10181, 568, 9411, 6318, 513, 3590, 2750, 527, 9868, 454, 825, 9206, 815, 6936, 454, 825, 1247, 9206, 912, 1038, 952, 3593, 17750, 2652, 1871, 15461, 318, 10181, 912, 2018, 6318, 3590, 2750, 527, 454, 1038, 8640, 3593, 17750, 711, 538, 4570, 318, 9953, 687, 912, 2018, 3593, 17750, 815, 3403, 6600, 262, 8923, 4283, 513, 4570, 4781, 610, 1422, 262, 346, 7407, 15461, 318, 10181, 4153, 262, 547, 16718, 281, 30386, 1038, 3116, 912, 2018, 2132, 3593, 17750, 692, 3698, 2312, 10031, 825, 5727, 7581, 1513, 519, 12363, 29185, 825, 1948, 901, 568, 513, 695, 2180, 663, 952, 3948, 269, 1403, 519, 13013, 568, 8837, 15259, 20508, 1131, 2652, 1412, 660, 262, 543, 1412, 743, 338, 262, 1131, 581, 1031, 267, 585, 3388, 3116, 1412, 27234, 262, 568, 1031, 454, 825, 2415, 815, 1412, 743, 338, 262, 952, 15259, 20508, 2652, 1412, 660, 262, 3116, 1412, 27234, 7055, 825, 1948, 2422, 519, 1062, 3890, 1599, 689, 519, 15259, 5399, 547, 2312, 519, 12363, 5496, 454, 825, 15259, 269, 17882, 263, 1173, 2020, 3698, 1292, 10031, 825, 5727, 681, 12584, 1292, 3009, 29185, 825, 1247, 6936, 912, 1038, 1948, 1452, 616, 519, 6119, 547, 581, 16041, 454, 1038, 2055, 18316, 815, 1412, 638, 5465, 12459, 5459, 7055, 1038, 3584, 18316, 815, 1412, 9008, 923, 12459, 5459, 7055, 1038, 2250, 5334, 13990, 18316, 815, 1412, 335, 770, 5334, 13990, 12459, 5459, 28847, 1038, 1948, 20509, 6119, 607, 21594, 543, 3651, 547, 1142, 4756, 6606, 454, 1038, 2055, 267, 3584, 267, 2250, 5334, 13990, 815, 4452, 19553, 5459, 6958, 3796, 263, 638, 5465, 18316, 267, 3584, 18316, 267, 2250, 5334, 13990, 18316, 2020, 1038, 1948, 8073, 513, 1592, 540, 21594, 267, 1142, 8675, 814, 835, 1888, 543, 621, 781, 7222, 1239, 454, 1038, 16432, 12774, 815, 1711, 318, 4818, 6150, 12774, 263, 638, 5465, 267, 3584, 267, 2250, 5334, 13990, 2020, 1038, 1948, 11910, 519, 2312, 1599, 547, 2312, 519, 5496, 267, 3989, 4505, 538, 519, 7097, 454, 1038, 2312, 10797, 1038, 1948, 7179, 10950, 2985, 910, 513, 3349, 609, 782, 3584, 267, 741, 2243, 1293, 267, 543, 741, 3105, 8464, 454, 1038, 1820, 16062, 4372, 318, 2457, 263, 4818, 6150, 12774, 2020, 1038, 1948, 5192, 519, 1888, 16182, 607, 3593, 3403, 1210, 519, 24019, 17750, 1599, 269, 2353, 20386, 538, 513, 2119, 3625, 538, 2013, 519, 3593, 844, 1080, 2059, 519, 1259, 454, 1038, 1888, 16182, 815, 24019, 17750, 28361, 333, 11767, 519, 1297, 540, 519, 1888, 596, 1616, 547, 2689, 22570, 262, 336, 32075, 547, 16718, 2567, 22207, 1592, 263, 4818, 6150, 12774, 269, 12399, 3890, 11723, 1038, 1948, 8073, 606, 3236, 540, 519, 519, 13658, 1362, 1759, 593, 519, 1888, 5697, 676, 519, 3593, 543, 8429, 538, 16432, 12774, 543, 2055, 454, 1038, 6074, 318, 638, 714, 815, 13658, 6025, 8084, 16182, 267, 16432, 12774, 267, 2055, 2020, 1038, 1948, 13079, 1393, 519, 2196, 318, 638, 714, 1505, 689, 519, 13658, 3236, 3957, 6074, 318, 638, 714, 269, 2353, 20386, 538, 513, 2119, 3625, 538, 2013 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6262, 8029, 3546, 585, 1318, 538, 1582, 269, 2102, 4733, 21122, 4185, 18217, 268, 272, 2275, 8029, 7386, 20735, 6910, 3488, 20719, 16585, 24001, 8339, 8971, 263, 3847, 267, 1318, 17903, 1038, 2132, 20735, 5897, 18257, 1477, 30244, 14748, 25520, 16043, 495, 26033, 481, 420, 503, 495, 7511, 16533, 365, 23523, 486, 417, 481, 493, 1477, 12916, 484, 10524, 500, 9463, 359, 28997, 501, 29072, 21588, 361, 22047, 25426, 511, 25060, 483, 1477, 12571, 492, 30837, 351, 25203, 368, 26406, 354, 20881, 496, 25051, 496, 1477, 26033, 490, 4970, 498, 418, 366, 350, 17958, 20693, 357, 26233, 479, 25335, 482, 10254, 496, 1477, 18257, 5897, 18257, 1477, 28098, 31968, 13213, 364, 25913, 25622, 7511, 418, 498, 373, 13213, 505, 1477, 18257, 5897, 5035, 8827, 24998, 8029, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1582, 6230, 655, 334, 284, 24001, 1477, 825, 1219, 5352, 21122, 4185, 4311, 267, 715, 8029, 1038, 952, 715, 2525, 271, 6769, 2018, 2132, 1496, 5257, 15947, 1038, 952, 715, 538, 1582, 6230, 655, 334, 6769, 2018, 2132, 1582, 6230, 655, 334, 314, 301, 15947, 1038, 20735, 17342, 15947, 1038, 585, 1293, 538, 2039, 18217, 8029, 2018, 585, 1101, 538, 1582, 269, 2102, 4733, 21122, 4185, 6262, 870, 8029, 3546, 585, 6845, 1718, 538, 1582, 269, 2102, 4733, 21122, 4185, 18217, 268, 272, 28029, 8029, 7386, 20735, 6910, 2891, 20719, 16585, 24001, 2668, 8971, 6600, 1009, 267, 11420, 1718, 17903, 1038, 1582, 6230, 655, 334, 314, 301, 24557, 753, 1477, 1038, 2132, 20735, 5897, 18257, 1477, 20693, 510, 31968, 29072, 20693, 357, 26233, 479, 25335, 482, 10254, 496, 1477, 18257, 0, 26611, 23591, 24800, 19841, 341, 9226, 1477, 258, 28605, 8193, 281, 583, 325, 268, 279, 28605, 1477, 258, 8191, 281, 24204, 30537, 1477, 258, 7711, 11742, 2433, 276, 270, 1321, 270, 1001, 279, 476, 31284, 22287, 486, 279, 281, 6349, 1477, 18257, 1477, 14756, 503, 27936, 562, 476, 14748, 30837, 508, 420, 368, 509, 10533, 368, 12255, 513, 272, 8147, 320, 273, 8147, 1862, 8147, 534, 8147, 30006, 493, 14748, 12255, 28786, 23989, 417, 507, 494, 21550, 485, 18809, 7511, 22047, 30536, 630, 328, 267, 513, 328, 264, 476, 12486, 21928, 417, 507, 494, 21550, 485, 19540, 483, 13200, 375, 562, 17276, 507, 350, 417, 508, 480, 25203, 368, 419, 374, 379, 8147, 417, 508, 480, 25203, 368, 419, 374, 379, 1775, 476, 7511, 4970, 353, 14748, 419, 360, 363, 30536, 26166, 10254, 360, 20992, 630, 328, 267, 513, 328, 264, 13127, 23687, 630, 328, 267, 476, 271, 264, 12486, 19867, 378, 24731, 10429, 370, 18809, 7511, 4970, 353, 23521, 350, 419, 374, 379, 8147, 12916, 379, 23523, 501, 14395, 481, 10524, 361, 4970, 492, 1535, 29635, 377, 368, 10429, 365, 12571, 490, 22909, 482, 29873, 7511, 14395, 373, 417, 503, 357, 23746, 23284, 14395, 373, 419, 374, 367, 31006, 14035, 504, 7511, 418, 364, 368, 12486, 1477, 13644, 368, 13107, 492, 16088, 12916, 510, 21251, 420, 25693, 22390, 378, 13161, 506, 14395, 373, 417, 503, 357, 8147, 4970, 498, 562, 476, 7511, 29219, 420, 485, 367, 16533, 495, 20992, 476, 273, 12486, 5897, 18713, 378, 18809, 417, 508, 480, 25203, 368, 419, 374, 379, 28786, 23989, 27447, 24662, 12255, 14756, 482, 1496, 272, 267, 279, 267, 277, 267, 273, 267, 276, 267, 275, 267, 279, 267, 274, 267, 278, 316, 12486, 21928, 27882, 353, 418, 481, 483, 19540, 369, 31284, 8147, 14395, 373, 417, 503, 357, 420, 25693, 14035, 509, 14395, 373, 419, 374, 367, 418, 364, 368, 27818, 23989, 419, 353, 374, 20992, 420, 497, 507, 420, 487, 366, 421, 481, 357, 26166, 24724, 7511, 31006, 27962, 29219, 20992, 476, 5392, 12486, 5897, 419, 353, 374, 28032, 489, 6769, 27447, 24662, 281, 1496, 272, 267, 279, 267, 277, 267, 273, 267, 276, 267, 275, 267, 279, 267, 274, 267, 278, 15947, 27447, 24731, 281, 476, 5392, 1477, 18257, 5897, 18257, 1477, 30244, 30903, 502, 16043, 495, 31308, 509, 10951, 361, 21251, 25263, 504, 1477, 18257, 5897, 18257, 1477, 419, 511, 498, 418, 350, 486, 1477, 18257, 24653, 5035, 8827, 6769, 825, 1219, 3193, 22704, 4311, 267, 4463, 8029, 1038, 10443, 815, 7003, 263, 19417, 3418, 1038, 3193, 309, 815, 476, 271, 1477, 1038, 1775, 815, 476, 271, 1477, 1038, 795, 815, 10443, 910, 1775, 910, 476, 272, 1477, 1038, 1247, 630, 329, 910, 1775, 3436, 476, 271, 8029, 2018, 952, 630, 19417, 5157, 316, 3436, 4463, 14728, 316, 8029, 3546, 952, 630, 19417, 14728, 316, 2608, 630, 329, 910, 1775, 264, 3436, 3193, 309, 8029, 7386, 3193, 309, 815, 4463, 14728, 316, 2608, 630, 329, 910, 1775, 3418, 3546, 795, 20699, 476, 272, 1477, 2018, 3116, 6769, 3546, 952, 630, 19417, 5157, 316, 2608, 630, 329, 910, 1775, 264, 3436, 3193, 309, 8029, 7386, 3193, 309, 815, 4463, 5157, 316, 2608, 630, 329, 910, 1775, 3418, 3546, 1775, 6834, 476, 272, 5897, 1038, 2132, 3193, 309, 1477, 18257, 1477, 13601, 19764, 478, 417, 356, 489, 14035, 368, 16533, 378, 1477, 19404, 491, 30536, 15159, 25051, 497, 22047, 30006, 498, 9463, 355, 22047, 419, 509, 362, 7511, 26175, 375, 20693, 357, 418, 505, 368, 421, 360, 502, 7511, 418, 366, 350, 20069, 417, 354, 377, 14035, 482, 1477, 19867, 478, 23284, 9463, 359, 420, 25693, 26175, 375, 20693, 357, 9463, 355, 22047, 1477, 30244, 21550, 371, 21251, 13161, 511, 19867, 360, 418, 493, 493, 23746, 23284, 21928, 13601, 418, 361, 350, 25335, 352, 19540, 367, 1477, 18257, 0, 26611, 23591, 24800, 19841, 341, 9226, 1477, 258, 28605, 8193, 281, 583, 325, 268, 279, 28605, 1477, 258, 8191, 281, 24204, 30537, 1477, 258, 7711, 11742, 2433, 273, 270, 272, 270, 1001, 280, 476, 31284, 22287, 486, 275, 281, 2641, 1477, 18257, 1477, 14756, 503, 27936, 22047, 21211, 31033, 4970, 366, 12255, 14756, 482, 8147, 16533, 484, 21211, 30006, 491, 19764, 480, 12916, 491, 13644, 491, 14756, 482, 12571, 486, 21928, 13601, 420, 369, 371, 12486, 21211, 30006, 491, 19764, 480, 12916, 491, 13644, 491, 418, 490, 485, 21211, 30006, 491, 25203, 372, 12571, 490, 8147, 12916, 484, 26406, 496, 28578, 21251, 12571, 490, 7511, 21211, 31033, 4970, 366, 12486, 1477, 419, 353, 374, 28032, 489, 6769, 27447, 24662, 281, 22373, 324, 520, 2580, 834, 974, 320, 2580, 834, 11927, 2580, 834, 622, 2580, 834, 333, 520, 2580, 834, 321, 520, 257, 3910, 1477, 27447, 24731, 6769, 314, 1477, 476, 22373, 622, 14824, 324, 520, 14824, 974, 320, 257, 3910, 1477, 476, 22373, 333, 520, 14824, 11927, 257, 3910, 1477, 476, 22373, 321, 520, 257, 15947, 15947, 13644, 368, 13107, 492, 16088, 1477, 19867, 478, 20069, 27447, 24662, 417, 507, 485, 20992, 16533, 493, 19540, 503, 21211, 30006, 491, 12486, 1477, 21251, 26033, 481, 420, 503, 495, 419, 511, 498, 418, 350, 486, 27447, 24731, 7511, 421, 350, 374, 31365, 12486, 1477, 18257, 1477, 5035, 8827, 6769, 825, 1219, 1895, 2304, 22329, 4311, 267, 1193, 338, 8029, 1038, 20735, 815, 10070, 269, 29239, 18743, 17338, 3418, 1038, 585, 521, 538, 1193, 338, 6769, 2018, 1293, 815, 1496, 271, 316, 2608, 476, 2918, 1477, 2018, 585, 524, 538, 521, 6769, 3546, 1293, 314, 867, 6262, 264, 910, 3921, 3488, 320, 10807, 316, 6834, 476, 272, 1477, 2018, 20735, 314, 14654, 921, 6262, 870, 264, 4940, 6572, 4433, 3418, 1038, 2132, 1592, 630, 753, 269, 11161, 3890, 3418, 18257, 1477, 30317, 14756, 482, 15159, 23746, 23284, 417, 497, 486, 27747, 490, 7511, 1477, 18257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1079, 1353, 2516, 281, 476, 4343, 6440, 279, 13179, 28485, 13624, 630, 16256, 476, 3066, 6440, 274, 267, 562, 284, 6434, 2550, 264, 538, 519, 10841, 12643, 545, 3679, 1895, 267, 543, 476, 4097, 6440, 274, 13179, 28485, 13624, 630, 866, 6440, 279, 267, 562, 284, 9262, 264, 538, 519, 21897, 1895, 630, 335, 284, 271, 6440, 29496, 1040, 6399, 16796, 9830, 540, 10841, 12643, 545, 3679, 538, 2550, 8391, 10841, 12643, 545, 3679, 941, 3648, 2799, 693, 476, 2190, 3275, 630, 5392, 6440, 272, 13179, 28485, 13624, 1496, 16256, 476, 2537, 6440, 271, 3910, 562, 284, 6321, 264, 3379, 609, 693, 15977, 630, 335, 284, 271, 6440, 271, 2190, 1070, 543, 3379, 609, 2550, 8391, 21897, 693, 476, 2190, 3275, 630, 4391, 6440, 271, 13179, 28485, 13624, 1496, 16256, 476, 1626, 6440, 273, 3910, 562, 284, 6321, 282, 533, 284, 271, 6440, 21916, 1916, 1103, 713, 476, 273, 4458, 4351, 2213, 4693, 540, 1164, 1673, 846, 10841, 12643, 545, 3679, 538, 519, 4102, 20165, 540, 4079, 609, 18328, 307, 272, 288, 865, 2484, 267, 649, 4857, 1100, 2963, 602, 10841, 12643, 545, 3679, 568, 3759, 20160, 585, 519, 3119, 6364, 267, 18328, 307, 10064, 267, 610, 585, 1896, 1095, 29347, 1881, 6281, 4093, 267, 799, 3769, 15717, 267, 2534, 20159, 267, 543, 2298, 6361, 3734, 3800, 630, 3966, 601, 454, 2171, 22646, 519, 3213, 577, 8735, 6239, 19193, 540, 2552, 9776, 2558, 10118, 630, 290, 7728, 305, 3201, 264, 593, 519, 3213, 577, 8735, 7732, 630, 22568, 476, 272, 267, 476, 1001, 272, 1070, 2405, 1467, 630, 2735, 276, 1765, 1001, 272, 1070, 2506, 19668, 630, 2735, 276, 1765, 1001, 272, 1070, 543, 519, 4693, 7373, 1845, 11916, 307, 7434, 338, 10993, 454, 663, 7351, 2552, 9776, 2558, 10118, 609, 519, 3406, 2474, 968, 704, 8327, 531, 29302, 5608, 968, 22363, 3202, 29302, 5608, 968, 2419, 2117, 582, 1765, 11321, 773, 1765, 2414, 1054, 5608, 968, 295, 5960, 301, 5608, 968, 2444, 12643, 545, 3679, 5608, 543, 968, 341, 9559, 595, 6100, 1284, 849, 5833, 1344, 689, 1688, 14142, 532, 540, 8100, 538, 5697, 4930, 543, 10554, 18659, 267, 543, 689, 17066, 609, 824, 22602, 269, 1284, 4857, 5722, 2090, 12570, 519, 12117, 540, 10841, 12643, 545, 3679, 538, 2550, 609, 18328, 307, 272, 288, 269, 2641, 454, 16248, 616, 3370, 4351, 2213, 6417, 8062, 12570, 476, 272, 4458, 2126, 609, 10841, 12643, 545, 3679, 2126, 8957, 21897, 267, 543, 10841, 12643, 545, 3679, 1705, 711, 723, 513, 2126, 1198, 538, 1022, 540, 519, 8062, 269, 275, 1765, 277, 454, 2171, 4857, 1100, 2963, 540, 12117, 540, 476, 272, 6440, 276, 575, 27473, 10841, 12643, 545, 3679, 538, 513, 1804, 20165, 540, 2550, 609, 18328, 307, 272, 288, 2066, 513, 2126, 1974, 540, 476, 273, 1296, 269, 1284, 1745, 602, 713, 1353, 8591, 2178, 2597, 547, 4540, 2963, 602, 10841, 12643, 545, 3679, 568, 711, 3759, 20160, 538, 18328, 307, 272, 288, 563, 5978, 4681, 6166, 543, 4228, 519, 2164, 540, 519, 10656, 267, 275, 454, 272, 4458, 2090, 540, 10841, 12643, 545, 3679, 538, 18328, 307, 272, 288, 269, 1452, 2090, 941, 3908, 676, 741, 8579, 1379, 543, 267, 538, 1079, 2090, 267, 676, 519, 946, 540, 5179, 26634, 6991, 607, 519, 3119, 6364, 269, 275, 454, 2171, 9619, 891, 2152, 676, 7446, 519, 18328, 307, 10064, 607, 938, 3119, 6364, 267, 278, 454, 663, 676, 1379, 532, 938, 4693, 538, 13076, 609, 519, 10567, 1689, 538, 18328, 307, 10064, 689, 590, 1506, 543, 9164, 262, 1353, 1556, 454, 263, 272, 6440, 275, 2798, 538, 476, 2190, 3275, 1040, 634, 1034, 2693, 7664, 540, 938, 2164, 568, 602, 10841, 12643, 545, 3679, 568, 711, 3759, 20160, 538, 18328, 307, 272, 288, 269, 8422, 1447, 2693, 12496, 616, 602, 519, 1353, 729, 711, 1279, 2614, 267, 519, 9570, 540, 10841, 12643, 545, 3679, 729, 13385, 267, 610, 519, 1198, 729, 1932, 1507, 547, 581, 9571, 676, 519, 6364, 3800, 1031, 563, 4415, 2463, 547, 1353, 3259, 267, 606, 6397, 4466, 729, 602, 2068, 11144, 729, 14887, 982, 729, 10567, 689, 3105, 24794, 8826, 22423, 2090, 269, 1556, 454, 13614, 18328, 307, 10064, 7707, 2989, 676, 476, 271, 6440, 5379, 2798, 538, 476, 2190, 3275, 630, 773, 267, 476, 271, 6440, 2537, 2798, 829, 1032, 264, 538, 519, 21897, 1895, 630, 704, 3491, 339, 4377, 2079, 1070, 799, 568, 1614, 2053, 2539, 982, 602, 4080, 538, 519, 19976, 1353, 676, 590, 1506, 543, 9164, 630, 271, 6440, 6924, 2798, 829, 1032, 1070, 1556, 454, 12294, 982, 602, 538, 519, 21897, 1895, 540, 519, 3943, 4693, 630, 271, 6440, 276, 2798, 829, 1032, 1070, 277, 454, 663, 5594, 2539, 982, 602, 4080, 538, 513, 19976, 1353, 676, 7638, 5069, 1889, 543, 9164, 630, 272, 6440, 276, 2798, 29083, 540, 606, 9862, 18328, 307, 10064, 538, 476, 276, 1296, 1040, 2420, 454, 4913, 267, 519, 2090, 676, 590, 1506, 1556, 454, 663, 741, 9164, 941, 14356, 24794, 8826, 267, 543, 4061, 1522, 711, 581, 2047, 13380, 609, 938, 1353, 269, 1284, 1745, 602, 938, 1804, 3126, 568, 3810, 11347, 540, 519, 2937, 2551, 609, 18328, 307, 272, 288, 5701, 693, 14715, 18013, 563, 763, 3500, 11144, 540, 18328, 307, 10064, 538, 4079, 609, 18328, 307, 272, 288, 12651, 519, 7872, 602, 649, 1522, 723, 14406, 513, 1507, 1198, 540, 10841, 12643, 545, 3679, 538, 513, 476, 273, 4458, 1353, 269, 23207, 519, 4693, 3259, 538, 4079, 1131, 581, 1360, 2352, 543, 5310, 791, 24411, 267, 855, 4824, 6364, 3800, 1223, 948, 269, 19893, 540, 606, 13673, 10157, 13186, 538, 476, 1220, 280, 8815, 602, 930, 18328, 307, 10064, 3334, 616, 711, 6213, 267, 543, 513, 9168, 18328, 307, 10064, 568, 538, 1646, 269, 2641, 454, 13010, 267, 538, 938, 1353, 267, 2164, 8612, 602, 1646, 540, 1250, 5852, 630, 18034, 3723, 21053, 604, 2716, 542, 264, 607, 606, 6364, 2268, 1522, 581, 3730, 269, 634, 2068, 6238, 538, 6689, 267, 865, 2126, 2360, 1522, 581, 811, 3362, 9571, 538, 1453, 982, 538, 4079, 538, 2104, 8062, 269, 1717, 267, 4540, 2963, 5267, 602, 946, 540, 18328, 307, 10064, 568, 711, 3617, 538, 1453, 7820, 982, 476, 1015, 1296, 267, 543, 513, 17328, 8824, 18328, 307, 10064, 568, 538, 1646, 269, 2641, 454, 4415, 2463, 547, 519, 9570, 540, 10841, 12643, 545, 3679, 267, 649, 8359, 513, 9570, 602, 729, 827, 7466, 610, 4278, 823, 519, 6697, 9570, 2016, 547, 8983, 630, 6518, 13754, 1047, 10841, 12643, 545, 3679, 264, 273, 454, 663, 729, 4397, 547, 3035, 5021, 543, 11931, 11919, 9830, 609, 513, 1970, 1981, 540, 2427, 13716, 338, 269, 1321, 454, 1607, 9570, 729, 1134, 7109, 730, 538, 938, 1353, 269, 4014, 649, 1745, 602, 519, 9570, 649, 1031, 1058, 723, 1044, 6190, 547, 3713, 12117, 267, 631, 673, 548, 325, 543, 9164, 277, 454, 13440, 867, 539, 4617, 2963, 540, 606, 1198, 540, 476, 274, 575, 27473, 10841, 12643, 545, 3679, 538, 519, 3943, 4693, 267, 1152, 1317, 18328, 307, 2464, 729, 3648, 1732, 538, 519, 476, 274, 575, 27473, 1895, 982, 538, 519, 824, 1895, 269, 901, 2022, 3620, 665, 4466, 1058, 581, 14648, 609, 13657, 267, 543, 267, 16113, 267, 519, 1034, 8101, 9295, 547, 519, 3017, 729, 689, 519, 18328, 307, 10064, 10444, 5057, 267, 799, 568, 519, 2547, 6325, 5057, 269, 277, 454, 11101, 267, 4681, 540, 14278, 758, 514, 2045, 2090, 2303, 602, 13066, 540, 2362, 982, 476, 4335, 8406, 27473, 798, 711, 15186, 2333, 10408, 9830, 1317, 540, 25294, 543, 9395, 10894, 1852, 267, 1724, 454, 663, 267, 538, 519, 3943, 4693, 267, 277, 454, 323, 846, 2333, 689, 476, 272, 547, 476, 274, 575, 27473, 3812, 1152, 513, 13581, 2333, 538, 11919, 9830, 269, 7053, 267, 519, 2475, 4659, 540, 6925, 814, 1305, 513, 7109, 762, 5580, 6981, 1377, 540, 476, 273, 575, 27473, 267, 1657, 799, 519, 1981, 540, 16063, 543, 17669, 2427, 13716, 338, 4679, 269, 1284, 24565, 602, 938, 6074, 9570, 729, 513, 1434, 14207, 676, 4611, 538, 2282, 25294, 540, 11919, 543, 10408, 9830, 1510, 1981, 540, 7928, 2427, 13716, 338, 267, 799, 1223, 849, 29267, 2532, 2126, 269, 1284, 24098, 609, 1719, 519, 2164, 540, 519, 11173, 2475, 1353, 540, 476, 275, 575, 27473, 10841, 12643, 545, 3679, 630, 301, 6311, 21916, 279, 3393, 1015, 454, 663, 849, 4681, 540, 10892, 547, 2126, 1317, 476, 276, 575, 27473, 729, 14605, 7109, 730, 538, 513, 1507, 1353, 269, 2537, 454, 4415, 2463, 547, 519, 2450, 540, 519, 1198, 540, 10841, 12643, 545, 3679, 267, 952, 519, 1198, 568, 865, 1507, 602, 1152, 513, 24750, 518, 666, 3713, 621, 267, 621, 1131, 581, 12691, 547, 581, 24802, 1713, 538, 513, 2110, 3856, 1353, 855, 1522, 581, 1271, 538, 519, 1279, 2165, 269, 1677, 2232, 713, 3390, 267, 649, 616, 4974, 623, 6573, 2420, 454, 10339, 1833, 538, 2960, 23707, 5439, 2190, 454, 29592, 543, 1310, 2126, 538, 513, 32299, 540, 2550, 689, 938, 1353, 563, 8340, 902, 540, 713, 1353, 2303, 602, 10841, 12643, 545, 3679, 568, 711, 3759, 20160, 538, 4079, 609, 18328, 307, 272, 288, 269, 1284, 723, 3254, 602, 513, 11826, 3486, 4351, 2213, 4693, 666, 581, 2944, 538, 18328, 307, 269, 634, 946, 540, 519, 18328, 307, 10064, 1058, 849, 1683, 519, 4316, 585, 13849, 20400, 540, 519, 12117, 540, 10841, 12643, 545, 3679, 538, 18328, 307, 272, 288, 267, 950, 1239, 689, 824, 8062, 602, 946, 713, 1439, 4812, 1831, 2139, 269, 5047, 267, 519, 1239, 5833, 689, 782, 891, 8062, 786, 1683, 2189, 1344, 827, 519, 2067, 1686, 540, 18328, 307, 272, 288, 563, 7894, 729, 519, 9030, 31375, 269, 589, 3383, 729, 1071, 17376, 4532, 7625, 31375, 267, 4693, 4717, 13541, 267, 543, 513, 4759, 540, 519, 4830, 1239, 543, 3106, 5464, 12233, 282, 547, 16102, 519, 12233, 781, 7115, 267, 589, 3383, 13984, 1152, 1930, 7886, 540, 519, 12233, 781, 11401, 269, 667, 303, 267, 6789, 322, 267, 700, 306, 267, 674, 309, 267, 681, 21815, 267, 543, 589, 3383, 8329, 547, 519, 1353, 1374, 269, 667, 303, 267, 631, 17307, 267, 6789, 322, 267, 10648, 293, 267, 700, 306, 267, 717, 309, 267, 589, 304, 267, 700, 303, 267, 543, 674, 294, 941, 2199, 9030, 22602, 693, 1353, 18013, 269, 667, 303, 267, 631, 17307, 267, 6789, 322, 267, 10648, 293, 267, 570, 290, 267, 700, 306, 267, 717, 309, 267, 589, 304, 267, 700, 303, 267, 674, 294, 267, 543, 16066, 15548, 538, 1239, 4015, 543, 267, 609, 589, 3383, 267, 1239, 4879, 269, 9823, 729, 519, 4791, 6895, 540, 519, 1353, 269, 19010, 1705, 519, 8579, 2079, 269, 667, 303, 267, 631, 17307, 267, 700, 306, 267, 674, 309, 267, 19010, 267, 681, 21815, 267, 543, 589, 3383, 15548, 538, 1603, 543, 11049, 540, 519, 1867, 269, 2353, 4589, 14648, 519, 1239, 543, 9516, 519, 3803, 1867, 563, 13967, 307, 6874, 6020, 288, 3201, 543, 18328, 307, 6874, 6938, 20084, 2516, 454, 267, 595, 16205, 1127, 328, 267, 661, 590, 1023, 8457, 267, 700, 15089, 31899, 267, 595, 631, 732, 25651, 267, 966, 2480, 320, 2723, 328, 267, 595, 595, 10730, 267, 631, 681, 574, 1245, 328, 267, 717, 700, 4768, 807, 267, 661, 681, 11170, 564, 1729, 267, 674, 6682, 334, 3960, 328, 630, 7644, 290, 5425, 7690, 267, 30408, 7454, 320, 27096, 673, 4659, 267, 30912, 267, 7977, 5148, 589, 2480, 1156, 821, 20330, 267, 661, 715, 2117, 529, 334, 267, 631, 9835, 529, 267, 631, 8053, 328, 5174, 4048, 611, 514, 267, 700, 12321, 321, 1470, 630, 23430, 540, 27096, 344, 267, 744, 20953, 17443, 267, 543, 21834, 267, 2160, 540, 2637, 10394, 267, 2637, 10394, 267, 7977, 5148, 717, 631, 28529, 10961, 328, 20330, 267, 570, 28533, 718, 16619, 267, 589, 16629, 8457, 267, 700, 26450, 565, 14515, 267, 594, 16410, 337, 7236, 267, 918, 4856, 337, 14504, 267, 715, 681, 11170, 19513, 20330, 263, 23430, 540, 27096, 673, 267, 11671, 17595, 1670, 267, 5651, 874, 1670, 267, 543, 16359, 7070, 267, 2160, 540, 7638, 7431, 267, 7638, 7431, 267, 7977, 5148, 700, 16114, 19660, 20330, 267, 674, 631, 22462, 22088, 267, 595, 623, 529, 857, 27198, 630, 23430, 540, 27096, 673, 7070, 267, 12658, 518, 4815, 4083, 2160, 540, 10878, 1255, 267, 10878, 1255, 267, 7977, 5148, 631, 715, 565, 8457, 630, 23430, 540, 27096, 344, 267, 25554, 520, 648, 31410, 3455, 328, 7690, 267, 594, 13612, 5425, 267, 20052, 3150, 12910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 29510, 15661, 10466, 910, 589, 10312, 593, 17039, 781, 10965, 6260, 570, 4669, 956, 692, 296, 269, 4985, 692, 763, 2067, 1158, 568, 513, 10347, 3666, 540, 8134, 31523, 609, 3309, 18508, 543, 21426, 269, 10251, 267, 1480, 2238, 723, 22314, 713, 11466, 267, 3056, 547, 519, 7771, 540, 1585, 2030, 543, 3662, 5095, 269, 1306, 513, 1267, 267, 1082, 2249, 1631, 3068, 519, 3463, 540, 14486, 267, 26089, 3656, 6304, 547, 2327, 741, 6668, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 13155, 2249, 4027, 1210, 519, 2353, 580, 1807, 10965, 6260, 25725, 630, 21547, 549, 3832, 569, 338, 1661, 2381, 1188, 4512, 264, 538, 17039, 607, 938, 2013, 1353, 269, 1284, 786, 2263, 519, 3140, 2796, 267, 4143, 9086, 267, 5726, 3646, 267, 543, 2591, 2404, 609, 7863, 713, 7415, 13442, 780, 2862, 269, 8466, 12745, 281, 5274, 8177, 593, 13812, 7377, 2827, 692, 30399, 267, 3425, 32170, 7320, 5097, 585, 7449, 14571, 5301, 282, 2705, 267, 22713, 543, 14051, 5189, 1007, 7569, 602, 8507, 538, 21467, 343, 680, 334, 2787, 269, 1280, 1383, 267, 2799, 3747, 585, 16678, 10130, 267, 16392, 2472, 267, 543, 3209, 1399, 3688, 3366, 547, 19856, 656, 1093, 2286, 543, 10363, 4123, 269, 5047, 267, 7226, 9552, 4611, 689, 4683, 1646, 267, 6683, 267, 543, 4199, 10868, 2417, 28978, 2551, 23229, 269, 9182, 267, 6608, 5001, 6444, 519, 14849, 991, 547, 2936, 8825, 3800, 6322, 693, 8497, 7925, 2249, 543, 19086, 6937, 780, 7656, 269, 13751, 17563, 281, 31999, 18489, 3175, 1299, 8889, 9024, 328, 2510, 692, 288, 269, 8549, 16572, 692, 1103, 3210, 547, 20387, 4145, 3823, 2249, 2530, 267, 519, 2136, 2276, 6837, 5293, 1896, 4773, 540, 9086, 2966, 547, 2149, 6650, 6150, 2371, 543, 2831, 269, 4107, 16113, 267, 519, 29510, 15661, 2920, 630, 2464, 288, 264, 540, 476, 3192, 274, 3964, 7347, 20038, 676, 10238, 1746, 3527, 5739, 547, 7396, 2249, 543, 8506, 5313, 8041, 547, 5077, 609, 4966, 1354, 23072, 3785, 2693, 547, 1764, 873, 269, 3958, 267, 519, 700, 864, 344, 2920, 630, 5002, 271, 1070, 29567, 2789, 2053, 2094, 922, 15357, 618, 267, 7803, 3278, 19338, 538, 24648, 958, 5833, 7320, 267, 2371, 267, 543, 3165, 780, 289, 269, 3557, 16572, 692, 4263, 519, 1533, 1377, 267, 17039, 814, 8045, 3875, 4507, 6322, 693, 17420, 5065, 2249, 269, 1280, 3236, 267, 519, 17039, 7849, 11595, 5358, 15387, 513, 1036, 3588, 540, 4686, 543, 21049, 26908, 1247, 25640, 6051, 3646, 998, 12352, 1063, 2229, 9988, 267, 4081, 5238, 267, 18758, 3906, 267, 543, 4357, 8639, 269, 5015, 267, 519, 1533, 23328, 814, 11280, 1808, 2127, 607, 7320, 7254, 9822, 2456, 610, 1201, 1872, 525, 267, 3246, 2565, 9249, 585, 12219, 2249, 899, 519, 2353, 580, 1807, 10965, 6260, 25725, 780, 4353, 269, 11094, 27557, 281, 27986, 17039, 781, 10965, 6260, 570, 4669, 956, 692, 8601, 9431, 10850, 267, 25137, 13155, 2249, 3788, 4101, 1813, 547, 10770, 6937, 543, 3908, 2200, 269, 16480, 267, 6131, 2043, 543, 3906, 3136, 2324, 24091, 547, 3895, 6051, 7341, 5059, 593, 1382, 267, 2069, 267, 23793, 267, 543, 1876, 11268, 780, 288, 269, 3194, 1299, 16424, 692, 14722, 2932, 2834, 12220, 547, 2708, 2551, 6384, 267, 3892, 3270, 267, 543, 4719, 4763, 1851, 2353, 580, 1807, 10965, 6260, 570, 4669, 956, 269, 6270, 1344, 28279, 2359, 2994, 267, 14439, 10862, 2127, 585, 4027, 267, 543, 13475, 3356, 2509, 6051, 3853, 269, 1280, 1383, 267, 3173, 946, 1665, 29627, 2194, 675, 2553, 267, 5925, 7658, 11496, 267, 543, 2825, 5027, 630, 324, 19091, 264, 10386, 547, 6895, 14854, 5322, 267, 2623, 267, 543, 1072, 4567, 780, 289, 269, 26335, 26198, 1299, 5004, 692, 27916, 1681, 28811, 19126, 543, 5883, 12362, 2249, 616, 2629, 3334, 540, 1022, 3811, 5726, 1982, 269, 1635, 9427, 1958, 549, 2286, 10664, 267, 9013, 11761, 267, 543, 7393, 1216, 2298, 267, 9946, 2832, 547, 2087, 2175, 585, 17055, 16015, 1247, 8195, 4324, 1154, 824, 12748, 7103, 269, 20985, 3646, 5473, 2199, 2950, 267, 3506, 267, 4213, 267, 543, 13538, 1419, 6556, 1713, 9283, 538, 1857, 4656, 543, 19642, 7881, 780, 290, 269, 5398, 22580, 1299, 4065, 692, 14807, 1049, 3292, 13389, 1585, 9458, 1107, 1519, 918, 268, 1321, 1053, 267, 21962, 267, 2587, 6840, 267, 543, 9205, 12439, 1107, 6536, 7071, 585, 2470, 543, 5000, 3743, 5615, 269, 19873, 633, 7740, 267, 9754, 15225, 267, 11461, 19150, 267, 543, 2228, 2200, 1683, 3255, 585, 1565, 827, 519, 8733, 2956, 540, 1283, 11975, 971, 607, 519, 2353, 580, 1807, 10965, 6260, 25725, 269, 5047, 267, 21769, 609, 2923, 19093, 948, 22412, 622, 8903, 6386, 602, 8300, 2962, 543, 5352, 1489, 585, 5726, 7341, 780, 309, 269, 12694, 1299, 19662, 692, 8253, 5976, 9227, 8101, 9541, 538, 1382, 267, 5464, 267, 543, 11808, 267, 1896, 9465, 6414, 538, 4180, 1279, 3856, 23812, 540, 519, 2353, 580, 1807, 10965, 6260, 25725, 2551, 269, 6206, 2591, 1331, 13385, 7616, 267, 22522, 1239, 4015, 267, 1093, 2286, 267, 543, 2916, 1689, 269, 1717, 267, 6932, 4066, 2709, 9621, 3435, 547, 7753, 891, 23665, 269, 1280, 3236, 267, 8441, 538, 22308, 15971, 5512, 5386, 8397, 6571, 540, 2551, 2497, 267, 14123, 6098, 7459, 269, 6684, 267, 5841, 4987, 3156, 1397, 1761, 585, 3678, 908, 1239, 2079, 4247, 543, 5355, 16762, 9781, 7207, 780, 9654, 269, 10390, 692, 28406, 532, 13155, 2249, 3340, 13447, 539, 4674, 689, 782, 9922, 540, 2486, 269, 3414, 2500, 5698, 267, 5483, 3375, 6194, 267, 13261, 2359, 2853, 267, 543, 5499, 2029, 17293, 267, 649, 666, 5150, 513, 17321, 2104, 585, 17039, 781, 11599, 2879, 6260, 16015, 543, 9118, 824, 1071, 4725, 527, 1218, 4687, 713, 17866, 4541, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 299, 537, 529, 10005, 568, 1753, 547, 930, 540, 519, 4102, 2879, 6260, 16015, 538, 3345, 3013, 269, 7111, 547, 713, 3148, 267, 519, 2353, 580, 1807, 10965, 6260, 25725, 568, 513, 2249, 540, 2027, 6161, 543, 519, 1152, 835, 540, 922, 2186, 538, 519, 1158, 269, 1452, 2879, 6260, 16015, 616, 23666, 1947, 1804, 269, 4014, 789, 616, 10355, 2938, 267, 2879, 6260, 16015, 666, 581, 1336, 538, 519, 2620, 267, 32761, 344, 7297, 540, 17039, 269, 2060, 741, 8325, 581, 6545, 543, 21217, 543, 3532, 32356, 267, 891, 16015, 1118, 585, 23773, 17837, 950, 21108, 2933, 689, 11975, 269, 2913, 779, 1224, 811, 827, 2879, 6260, 16015, 538, 17039, 543, 741, 4277, 5013, 563, 8368, 540, 12937, 454, 299, 537, 529, 10005, 2488, 606, 4998, 7226, 585, 2879, 6260, 16015, 1813, 547, 519, 4999, 540, 10731, 1216, 2959, 543, 726, 550, 3814, 10664, 269, 901, 10859, 8584, 638, 1738, 16277, 850, 666, 581, 1336, 2713, 538, 2220, 10102, 267, 23047, 1127, 267, 8933, 267, 22253, 267, 543, 1256, 930, 546, 9662, 607, 1134, 269, 2755, 789, 6108, 1034, 540, 741, 1272, 14015, 267, 789, 12212, 10836, 5196, 2244, 547, 9566, 610, 1666, 330, 538, 519, 3141, 269, 634, 7345, 537, 3557, 568, 1753, 547, 1614, 1114, 2249, 540, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17484, 11139, 15661, 10466, 257, 607, 851, 540, 834, 30311, 1315, 7025, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 10374, 9513, 568, 513, 2259, 602, 3322, 24228, 513, 3354, 543, 5612, 9513, 621, 609, 519, 4126, 540, 9140, 621, 1394, 2663, 693, 513, 2539, 3902, 267, 7551, 16734, 513, 7443, 689, 519, 3017, 1063, 519, 9042, 3902, 543, 519, 6718, 3902, 269, 901, 4480, 666, 581, 1031, 676, 18318, 543, 9520, 547, 21963, 1996, 1761, 9271, 610, 547, 1179, 3634, 593, 19394, 5777, 269, 1717, 267, 950, 5645, 856, 1510, 1697, 6042, 267, 2110, 9513, 814, 519, 1761, 547, 3186, 8494, 1125, 2883, 6990, 267, 2523, 1282, 2053, 540, 6433, 269, 4475, 267, 9431, 4703, 5001, 723, 8045, 1585, 3800, 6322, 693, 9013, 543, 28142, 2110, 9513, 896, 3665, 2344, 2175, 269, 769, 713, 3296, 267, 649, 5490, 883, 519, 1523, 540, 2110, 9513, 6042, 1210, 519, 1383, 540, 519, 3943, 11038, 29714, 16958, 781, 630, 4456, 293, 264, 3210, 547, 519, 5046, 268, 866, 6855, 780, 296, 269, 4197, 10374, 590, 2454, 543, 4706, 24093, 692, 6524, 7234, 519, 6042, 4478, 2110, 9513, 267, 1577, 721, 1101, 2263, 922, 11707, 543, 2404, 4220, 269, 1879, 2502, 538, 2110, 9513, 267, 606, 20090, 18664, 4900, 8843, 689, 513, 30549, 720, 6109, 267, 23619, 873, 538, 519, 1930, 2344, 267, 543, 1287, 1065, 3420, 1162, 1346, 8843, 2663, 547, 2132, 873, 547, 519, 561, 2658, 269, 1403, 519, 2671, 3902, 11081, 1063, 519, 942, 540, 519, 3312, 9042, 543, 519, 1065, 21332, 267, 519, 911, 1457, 12434, 689, 519, 3017, 269, 17957, 267, 952, 519, 2671, 3902, 4679, 267, 519, 911, 1457, 23119, 513, 2530, 780, 3080, 1713, 1981, 2404, 609, 2110, 9513, 568, 19957, 1761, 9271, 269, 9521, 2757, 1279, 7158, 1141, 12374, 616, 1309, 5529, 693, 519, 2698, 1871, 540, 519, 5817, 10697, 267, 2110, 6455, 16616, 9520, 547, 27985, 12808, 9271, 1813, 547, 519, 7872, 540, 2671, 5777, 2810, 28222, 269, 5047, 267, 2110, 23965, 949, 3068, 2591, 538, 8720, 741, 7158, 1282, 8325, 678, 718, 625, 610, 2110, 17065, 8240, 267, 4611, 538, 8101, 9271, 269, 1452, 7915, 4220, 28173, 22608, 23388, 543, 7939, 540, 2110, 9513, 2853, 780, 2862, 269, 634, 10020, 540, 27943, 645, 3672, 692, 8802, 17419, 8128, 899, 519, 7537, 293, 1404, 2629, 5107, 538, 4180, 519, 6617, 543, 8699, 540, 2883, 6990, 269, 1358, 3715, 4808, 12044, 2344, 5171, 262, 2932, 267, 6895, 10220, 267, 543, 17997, 20507, 585, 19374, 269, 2290, 2565, 2460, 540, 741, 23626, 14122, 7598, 9993, 593, 2110, 9513, 547, 2061, 7050, 25359, 543, 12879, 269, 1635, 3257, 865, 267, 789, 2832, 547, 2149, 1312, 1367, 9520, 543, 519, 6626, 4346, 689, 5732, 14042, 4539, 16109, 689, 4652, 9116, 1229, 2110, 9513, 780, 7656, 269, 8865, 5530, 281, 634, 7537, 293, 15863, 547, 5046, 268, 866, 17455, 2438, 692, 1103, 3210, 547, 519, 13778, 21463, 3361, 676, 519, 5046, 268, 866, 12176, 267, 1896, 2477, 14754, 27290, 20214, 538, 6006, 5777, 269, 5333, 729, 1100, 9868, 267, 20872, 519, 7537, 293, 547, 20818, 10151, 536, 753, 593, 2121, 2110, 7158, 269, 1677, 1174, 891, 3527, 1732, 267, 1577, 721, 4983, 519, 26567, 1646, 540, 2621, 3056, 909, 547, 519, 3803, 3375, 3144, 593, 4989, 476, 1428, 267, 476, 1708, 271, 780, 288, 269, 19461, 1160, 22128, 630, 18550, 476, 1626, 267, 476, 1708, 271, 17107, 763, 7537, 293, 7620, 13684, 513, 835, 6377, 7333, 593, 782, 2110, 5498, 29818, 2238, 5473, 476, 10844, 1808, 13632, 7396, 593, 2824, 3943, 6006, 15377, 269, 901, 6727, 19231, 3357, 9624, 20034, 5471, 532, 6006, 5777, 267, 10452, 4145, 827, 2009, 2344, 6354, 2827, 998, 20291, 2110, 9513, 2994, 780, 289, 269, 4427, 2425, 550, 645, 753, 630, 18550, 476, 1704, 267, 476, 1708, 271, 910, 4989, 476, 1428, 267, 476, 1708, 271, 17107, 16729, 519, 5618, 835, 6377, 26699, 267, 519, 7537, 293, 6905, 519, 7333, 585, 606, 3606, 476, 736, 2395, 593, 1007, 2121, 2110, 7158, 7282, 1226, 885, 21775, 593, 1022, 3943, 5385, 269, 901, 1847, 1129, 4705, 15398, 28858, 2509, 1761, 6937, 15054, 676, 19727, 11712, 2110, 9513, 1282, 5712, 540, 24187, 780, 290, 269, 4329, 22362, 630, 19688, 476, 1428, 267, 476, 1708, 271, 910, 2904, 476, 1240, 267, 476, 273, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2414, 11574, 519, 4220, 5185, 676, 3943, 2883, 6990, 1282, 713, 13778, 1974, 540, 17522, 3361, 676, 519, 5046, 268, 866, 6855, 267, 519, 3943, 11038, 29714, 16958, 630, 4456, 293, 264, 9307, 593, 4989, 476, 1428, 267, 476, 1708, 271, 267, 602, 621, 786, 5710, 519, 7333, 593, 2121, 2110, 7158, 272, 2394, 2904, 476, 1240, 267, 476, 1708, 271, 269, 6969, 9513, 1022, 19736, 1641, 547, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 307, 269, 18171, 749, 543, 594, 269, 570, 269, 9652, 267, 27778, 269, 808, 269, 25326, 337, 269, 476, 6872, 267, 476, 23417, 630, 2735, 278, 1916, 292, 269, 918, 269, 2549, 710, 543, 667, 269, 631, 269, 670, 1122, 23264, 267, 297, 269, 3397, 878, 269, 5253, 6314, 269, 476, 2537, 267, 476, 14225, 630, 3192, 276, 1916, 289, 269, 700, 269, 744, 262, 291, 749, 267, 538, 9199, 576, 15689, 538, 12594, 540, 5753, 267, 681, 269, 918, 269, 932, 18588, 267, 1196, 1421, 681, 13273, 267, 1715, 3840, 267, 476, 2735, 276, 267, 6032, 269, 476, 6078, 1700, 7830, 563, 298, 269, 717, 269, 623, 7163, 267, 667, 269, 5062, 22913, 267, 631, 269, 4432, 6996, 267, 543, 589, 269, 670, 269, 717, 269, 11146, 267, 299, 4545, 564, 476, 273, 267, 476, 6507, 275, 630, 3192, 278, 1916, 292, 269, 589, 269, 8616, 2917, 543, 654, 269, 670, 269, 3794, 1231, 10458, 267, 15933, 3353, 269, 476, 4391, 267, 476, 13199, 630, 2735, 274, 1916, 299, 269, 918, 269, 28741, 802, 523, 267, 808, 269, 681, 269, 10067, 1779, 334, 267, 543, 700, 269, 589, 269, 918, 269, 9652, 267, 297, 269, 2549, 269, 10791, 269, 2667, 269, 476, 5952, 267, 476, 6321, 274, 630, 2735, 276, 1916, 290, 269, 6742, 710, 345, 6874, 528, 637, 267, 594, 269, 2274, 1115, 267, 623, 269, 13177, 267, 808, 269, 10548, 790, 345, 267, 631, 269, 1642, 966, 4150, 6682, 778, 334, 267, 543, 631, 269, 20233, 5142, 572, 267, 297, 269, 25326, 337, 269, 476, 14138, 267, 476, 15094, 271, 630, 2735, 277, 1916, 307, 269, 670, 269, 5637, 6202, 267, 681, 269, 654, 269, 4077, 331, 2023, 267, 808, 269, 667, 269, 13648, 267, 543, 595, 269, 589, 269, 5685, 577, 267, 27860, 5450, 29440, 538, 2494, 267, 4563, 6202, 11660, 23549, 267, 10228, 267, 5177, 267, 476, 3192, 280, 563, 298, 269, 681, 269, 10067, 3530, 5674, 267, 293, 539, 3130, 28540, 269, 476, 5655, 267, 476, 15876, 271, 630, 2735, 274, 1916, 303, 269, 681, 269, 4469, 534, 12298, 267, 808, 269, 590, 269, 32511, 749, 534, 267, 808, 269, 12794, 626, 267, 631, 269, 717, 269, 22216, 1014, 267, 631, 269, 808, 269, 25679, 331, 664, 267, 543, 700, 269, 590, 269, 4406, 6199, 267, 294, 770, 549, 10938, 1108, 476, 10619, 267, 476, 279, 6078, 630, 3192, 279, 1916, 299, 269, 8065, 6199, 267, 538, 24791, 595, 267, 808, 269, 715, 269, 6076, 8688, 543, 667, 269, 670, 269, 24125, 580, 267, 32308, 1421, 11930, 3163, 23255, 267, 5507, 267, 476, 2735, 272, 267, 6032, 269, 476, 5392, 1700, 8618, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 7079, 667, 758, 330, 636, 267, 654, 269, 19043, 540, 4401, 6915, 822, 22355, 585, 4401, 7840, 269, 22776, 29895, 661, 12661, 1763, 476, 3374, 267, 476, 272, 1700, 1556, 630, 1960, 273, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 20324, 293, 271, 2767, 279, 7830, 3451 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3780, 269, 769, 5245, 1634, 689, 519, 4279, 4446, 8175, 24035, 538, 24368, 543, 5087, 7262, 5375, 5245, 563, 1607, 12593, 568, 3622, 1336, 538, 1970, 954, 339, 10537, 543, 13719, 5705, 10537, 2127, 267, 538, 22501, 610, 544, 28854, 14041, 610, 2630, 7725, 543, 14147, 563, 290, 7568, 643, 5387, 267, 2219, 547, 3049, 593, 521, 760, 684, 1529, 573, 630, 303, 6756, 583, 264, 17494, 269, 10410, 11948, 3182, 3293, 4362, 538, 954, 339, 10537, 1858, 593, 22586, 3760, 543, 5111, 476, 736, 6515, 538, 3259, 563, 4263, 20393, 540, 12389, 5245, 3896, 693, 4179, 2517, 29560, 269, 8403, 3820, 28898, 270, 14142, 286, 336, 284, 2466, 571, 266, 4768, 7702, 266, 325, 3271, 573, 3121, 269, 21700, 476, 5400, 270, 1556, 270, 1001, 279, 563, 763, 1530, 553, 17850, 338, 540, 1715, 3162, 12986, 267, 2677, 2142, 1815, 30750, 267, 18947, 29533, 267, 8241, 7467, 267, 24793, 476, 1839, 269, 19534, 693, 4179, 2517, 572, 553, 17850, 810, 325, 985, 342, 3820, 28898, 19072, 527, 5090, 2801, 18025, 1137, 19072, 527, 5090, 2801, 318, 842, 549, 21867, 258, 290, 1478, 720, 269, 21700, 476, 5400, 270, 1556, 270, 1001, 279, 269, 0, 8310, 3781, 267, 950, 519, 6519, 5600, 5828, 593, 922, 8285, 3529, 8279, 547, 1665, 713, 1032, 781, 9702, 4005, 267, 519, 1158, 729, 538, 585, 513, 9983, 281, 713, 1032, 267, 5215, 540, 6690, 6417, 1346, 8279, 267, 5752, 873, 547, 1000, 30257, 543, 7544, 607, 851, 540, 5616, 781, 17214, 2060, 8943, 1982, 563, 763, 5616, 11036, 3459, 4505, 713, 3018, 543, 5170, 998, 5130, 476, 272, 560, 269, 5616, 7512, 782, 14971, 13798, 619, 547, 3643, 519, 17214, 2060, 8943, 3896, 543, 946, 519, 2645, 2139, 547, 3009, 519, 8279, 593, 741, 1533, 781, 3529, 538, 5518, 781, 5244, 593, 519, 12406, 540, 519, 6519, 5600, 563, 10376, 4062, 540, 3009, 3292, 519, 8279, 547, 2322, 593, 922, 1378, 20498, 1397, 269, 634, 17214, 2060, 8943, 1907, 2636, 13798, 619, 547, 2824, 1808, 4778, 585, 519, 8279, 267, 607, 1134, 607, 1711, 5546, 543, 3350, 3270, 1210, 513, 2241, 8193, 1893, 585, 14987, 1572, 13332, 569, 563, 300, 1228, 2060, 8943, 568, 4481, 5059, 538, 3478, 6690, 5461, 538, 8193, 267, 607, 1134, 607, 5461, 538, 13197, 11678, 538, 2780, 2257, 269, 2311, 1459, 267, 1152, 827, 835, 2600, 540, 1164, 1153, 6690, 2769, 513, 7287, 547, 11654, 11678, 538, 2780, 2257, 267, 855, 5616, 13922, 547, 1689, 602, 609, 17214, 2060, 8943, 563, 28347, 781, 5244, 568, 851, 540, 519, 2817, 5244, 7690, 267, 945, 5249, 609, 5616, 547, 1118, 519, 6519, 5600, 3529, 8654, 1788, 513, 4641, 563, 257, 27908, 687, 540, 6690, 786, 723, 519, 4960, 547, 2263, 2257, 267, 2029, 267, 4702, 267, 543, 2979, 538, 4276, 609, 835, 540, 3013, 781, 3084, 11614, 543, 607, 851, 540, 513, 8978, 1977, 9702, 2245, 2437, 3081, 8355, 654, 523, 330, 267, 7022, 540, 519, 2817, 5244, 7690, 269, 834, 2171, 616, 18507, 585, 5616, 781, 11450, 543, 3838, 7029, 547, 8220, 6107, 547, 938, 4182, 781, 1726, 25979, 4025, 4799, 12179, 821, 609, 606, 5461, 1126, 1175, 2115, 547, 3643, 519, 17214, 2060, 8943, 3896, 543, 4945, 593, 519, 834, 24927, 519, 32733, 257, 7735, 269, 2991, 602, 267, 1175, 1246, 519, 5528, 585, 5752, 519, 8285, 3529, 8279, 563, 10454, 2245, 540, 519, 3529, 8654, 16008, 7389, 1394, 547, 476, 4572, 274, 950, 5518, 27869, 15346, 3805, 1396, 519, 1101, 535, 597, 3529, 3544, 519, 6519, 5600, 267, 543, 713, 568, 519, 1101, 1032, 3214, 689, 2066, 519, 2197, 786, 581, 538, 1852, 540, 519, 1533, 543, 8513, 9702, 3529, 8279, 10590, 11339, 623, 822, 14269, 4144, 9774, 10202, 267, 21470, 5518, 267, 7177, 593, 519, 5616, 5816, 563, 5629, 3214, 9096, 741, 3529, 2000, 18017, 3292, 267, 789, 666, 849, 946, 741, 1007, 8193, 1983, 593, 519, 17214, 2060, 8943, 3896, 585, 824, 9702, 2389, 1335, 539, 3785, 267, 689, 2870, 6777, 4148, 1389, 547, 1565, 14318, 1983, 269, 5616, 2966, 1142, 1788, 547, 4001, 3214, 811, 827, 8193, 543, 2636, 1346, 10283, 547, 2671, 741, 8737, 3785, 593, 1514, 2923, 563, 314, 20124, 15894, 281, 7033, 27213, 517, 22077, 5585, 337, 316, 0, 310, 1180, 1359, 1018, 519, 570, 323, 777, 6669, 568, 286, 898, 779, 782, 827, 602, 2608, 320, 1335, 267, 513, 1335, 265, 4743, 563, 8005, 14563, 11522, 568, 835, 540, 1346, 6689, 3676, 649, 2461, 782, 5432, 609, 269, 1284, 4076, 782, 2901, 1185, 621, 610, 917, 2576, 945, 1185, 607, 513, 1126, 267, 543, 621, 779, 3274, 835, 540, 1346, 968, 21720, 892, 3676, 596, 723, 547, 4308, 609, 607, 1453, 563, 7775, 711, 256, 634, 570, 323, 777, 6669, 666, 948, 547, 2149, 707, 1126, 689, 945, 14563, 11522, 267, 2059, 609, 824, 1072, 2042, 269, 1403, 596, 1616, 547, 2057, 713, 6689, 2068, 267, 621, 949, 581, 513, 1434, 2856, 547, 2015, 8391, 1126, 519, 570, 323, 777, 6669, 563, 1432, 568, 519, 570, 323, 777, 6669, 888, 763, 570, 323, 777, 6669, 568, 2966, 547, 2149, 596, 689, 1614, 3978, 6937, 912, 268, 5808, 14563, 11522, 630, 13630, 1380, 529, 994, 307, 564, 29104, 543, 546, 13023, 750, 807, 616, 1312, 9425, 3978, 2042, 267, 855, 621, 779, 945, 14563, 11522, 602, 666, 581, 519, 1483, 3463, 547, 513, 20169, 610, 22525, 269, 1403, 707, 1126, 10953, 945, 14563, 11522, 267, 789, 666, 6108, 3275, 23472, 269, 901, 666, 1291, 547, 29618, 28937, 267, 25874, 267, 543, 606, 2799, 1981, 540, 16415, 269, 1280, 9002, 945, 10093, 1406, 2943, 6603, 476, 272, 4458, 2025, 267, 945, 14563, 11522, 666, 581, 1272, 18446, 269, 634, 10782, 851, 281, 789, 2461, 1034, 2693, 547, 6952, 621, 689, 513, 2673, 1920, 4759, 982, 689, 4351, 3346, 609, 513, 24928, 563, 11767, 519, 570, 323, 777, 6669, 7498, 763, 6669, 568, 2966, 547, 2149, 9358, 689, 945, 14563, 11522, 630, 663, 519, 824, 1079, 3676, 1070, 7551, 4227, 707, 1981, 540, 3468, 532, 707, 1126, 269, 5637, 4079, 543, 10708, 666, 4324, 689, 519, 570, 323, 777, 6669, 267, 543, 621, 666, 948, 547, 2149, 513, 20169, 610, 1762, 1126, 563, 3918, 4696, 27749, 281, 5131, 28820, 725, 952, 1411, 5213, 1406, 9650, 2507, 4144, 1551, 9996, 888, 8005, 1058, 4309, 519, 570, 323, 777, 6669, 888, 763, 3328, 2937, 4607, 513, 945, 14563, 11522, 6669, 950, 789, 941, 1762, 269, 1717, 267, 936, 942, 267, 707, 12046, 547, 519, 2068, 530, 6951, 269, 2991, 513, 8717, 610, 1614, 540, 1272, 267, 596, 949, 1831, 11630, 547, 945, 14563, 11522, 2899, 1586, 269, 1403, 596, 4579, 621, 267, 621, 779, 1360, 2693, 602, 596, 786, 1780, 621, 593, 547, 707, 20169, 563, 2252, 596, 723, 513, 1007, 4535, 4816, 693, 1753, 267, 621, 779, 513, 1434, 2856, 547, 2015, 3478, 519, 570, 323, 777, 6669, 269, 901, 1259, 267, 596, 666, 2149, 711, 1152, 3054, 689, 519, 1966, 267, 855, 596, 666, 2569, 519, 1981, 540, 707, 10867, 24931, 621, 563, 1103, 1249, 267, 621, 779, 1419, 5227, 602, 596, 4309, 519, 570, 323, 777, 6669, 667, 7838, 5058, 28217, 294, 2793, 10998, 312, 269, 9521, 1082, 10074, 267, 519, 570, 323, 777, 6669, 568, 2966, 547, 581, 2922, 1282, 6379, 267, 543, 8391, 519, 13297, 1282, 707, 6379, 666, 948, 547, 1780, 593, 519, 12489, 547, 707, 20169, 269, 1306, 707, 1560, 1568, 547, 1628, 12046, 547, 519, 2068, 267, 621, 786, 1780, 602, 12046, 593, 547, 707, 1126, 269, 2659, 4816, 786, 581, 4535, 609, 513, 2362, 4187, 547, 945, 14563, 11522, 7064, 547, 519, 570, 323, 777, 6669, 596, 4607, 1247, 646, 24172, 729, 1869, 3395, 538, 707, 27042, 563, 763, 15509, 15565, 519, 570, 323, 777, 6669, 585, 912, 268, 20661, 936, 519, 2085, 540, 476, 4792, 267, 2523, 952, 789, 1544, 547, 581, 1472, 9002, 454, 268, 20661, 1063, 519, 6502, 540, 476, 866, 543, 476, 5038, 267, 2523, 952, 789, 1544, 547, 581, 1472, 9002, 454, 268, 5753, 1063, 519, 6502, 540, 476, 1556, 543, 476, 1240, 945, 723, 2907, 6192, 519, 667, 307, 320, 303, 3126, 540, 10074, 454, 268, 21250, 656, 2021, 267, 945, 1058, 4309, 621, 1063, 519, 476, 2767, 628, 543, 476, 3607, 628, 3018, 540, 741, 6379, 454, 9616, 281, 1403, 596, 4076, 4607, 513, 968, 339, 564, 29104, 8929, 26259, 892, 1369, 519, 2063, 476, 274, 268, 276, 1296, 267, 621, 779, 2693, 602, 596, 2907, 4607, 519, 570, 323, 777, 6669, 269, 6744, 609, 707, 4387, 547, 581, 1978, 563, 3080, 540, 519, 1919, 602, 2306, 519, 570, 323, 777, 6669, 971, 513, 1434, 4781, 568, 519, 1249, 602, 621, 779, 607, 2922, 607, 2009, 267, 1256, 1282, 6379, 269, 4595, 922, 4367, 538, 476, 1220, 276, 267, 2090, 723, 8810, 602, 972, 616, 1100, 2942, 2427, 2360, 585, 9176, 2021, 563, 2252, 596, 616, 3843, 547, 2569, 707, 1126, 779, 1981, 540, 2068, 267, 519, 570, 323, 777, 6669, 568, 513, 1360, 1434, 4781, 547, 2015, 256, 769, 1249, 267, 621, 779, 3810, 5227, 676, 519, 15509, 543, 15111, 269, 0, 314, 15900, 4778, 540, 513, 8375, 3141, 1935, 519, 16880, 3297, 30857, 779, 27321, 3194, 25076, 693, 519, 2549, 1495, 11420, 4149, 22574, 3162, 24504, 13749, 593, 5181, 476, 279, 269, 630, 290, 712, 17940, 540, 7917, 5576, 8705, 345, 270, 17206, 540, 16506, 22708, 314, 17472, 8150, 316, 634, 2887, 1226, 514, 2135, 1797, 519, 1439, 540, 4832, 585, 519, 8832, 25955, 267, 855, 7436, 519, 4098, 540, 5614, 2443, 543, 519, 1101, 19214, 540, 519, 3141, 2094, 4728, 2443, 585, 3744, 693, 30857, 779, 3162, 24504, 27321, 5178, 5202, 25076, 4092, 693, 519, 2549, 1495, 11420, 4149, 22574, 3162, 24504, 3194, 13749, 563, 2690, 30857, 17620, 20229, 22216, 13453, 17054, 1633, 518, 543, 30857, 11653, 17939, 27444, 590, 1335, 564, 267, 30857, 779, 1101, 782, 2914, 1580, 5162, 3162, 24504, 1382, 2319, 267, 2038, 4778, 689, 3141, 4358, 547, 4473, 1657, 519, 16880, 538, 3735, 4864, 1797, 519, 1439, 540, 519, 21303, 5162, 568, 16042, 269, 22067, 5437, 267, 621, 786, 6368, 581, 3636, 2614, 585, 8484, 547, 9108, 2244, 693, 3047, 779, 7013, 2865, 1448, 267, 799, 786, 3142, 4195, 267, 1134, 1964, 539, 3173, 543, 2565, 1489, 5234, 563, 10527, 2132, 540, 519, 3141, 568, 513, 3636, 22205, 543, 513, 12576, 547, 5660, 519, 2063, 3787, 540, 942, 649, 723, 2451, 1934, 2223, 1767, 17054, 1633, 518, 269, 968, 296, 786, 2760, 7340, 519, 8828, 28691, 543, 3781, 6607, 538, 5162, 267, 855, 594, 3112, 7227, 547, 1294, 519, 5836, 267, 9329, 519, 5810, 543, 3548, 10981, 3122, 20061, 609, 1920, 1394, 538, 1715, 4789, 3034, 314, 1607, 942, 2000, 8985, 8666, 689, 5181, 476, 1015, 2982, 519, 8184, 2619, 540, 606, 12063, 2158, 27475, 607, 621, 14380, 883, 519, 5790, 936, 519, 3162, 24504, 689, 519, 2549, 1495, 11420, 4149, 22574, 3162, 24504, 13749, 269, 12207, 5305, 891, 17891, 25645, 8596, 547, 2268, 519, 11098, 540, 519, 8825, 17645, 4494, 1164, 909, 538, 519, 5790, 269, 630, 290, 13072, 281, 3938, 17940, 540, 7917, 5576, 8705, 345, 270, 17206, 540, 16506, 22708, 763, 3162, 24504, 2319, 540, 865, 10777, 5162, 268, 13569, 28815, 513, 1360, 1025, 755, 2044, 15604, 476, 1001, 279, 602, 13264, 5638, 585, 519, 5207, 2842, 11250, 538, 4873, 543, 5147, 630, 7906, 269, 279, 332, 874, 543, 476, 7918, 269, 272, 332, 874, 267, 6606, 1040, 634, 2178, 15420, 543, 3586, 5162, 12798, 2813, 1804, 6777, 1743, 22284, 1472, 6728, 5656, 563, 763, 3162, 24504, 814, 930, 540, 519, 2973, 652, 2011, 538, 519, 1158, 267, 799, 2306, 621, 606, 4998, 4087, 585, 30857, 3744, 547, 1491, 1279, 3856, 6172, 520, 1670, 7403, 267, 11179, 3732, 585, 8511, 9362, 899, 3327, 8166, 267, 6895, 2011, 2298, 543, 1353, 519, 21303, 17645, 8559, 538, 5181, 543, 5239, 630, 5408, 17891, 10131, 8666, 1657, 1040, 1411, 666, 1294, 1018, 519, 4365, 779, 899, 693, 519, 3162, 24504, 2221, 609, 519, 2661, 8254, 3049, 689, 30857, 563, 10955, 1243, 585, 16661, 301, 566, 676, 25561, 6048, 631, 864, 5760, 320, 1564 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 6405, 2497, 7466, 607, 1804, 607, 519, 7887, 835, 3425, 723, 2479, 3710, 269, 1656, 513, 30671, 547, 2015, 1018, 513, 3196, 540, 476, 272, 267, 13078, 267, 6110, 267, 1822, 267, 1822, 1715, 27971, 786, 798, 950, 621, 13341, 513, 4287, 621, 666, 1405, 1847, 269, 901, 568, 513, 2979, 1966, 865, 267, 899, 2011, 4187, 267, 649, 2811, 1175, 2469, 547, 11716, 519, 14694, 29351, 32446, 938, 1608, 1457, 320, 1698, 568, 15738, 2047, 693, 25048, 701, 4512, 780, 29121, 2798, 5379, 272, 2798, 476, 272, 3923, 3516, 692, 1805, 1575, 573, 2979, 568, 1655, 2979, 692, 7918, 2798, 4649, 2798, 476, 272, 3923, 3516, 692, 9223, 281, 3247, 513, 18962, 692, 7277, 2798, 6977, 2798, 476, 272, 3923, 3516, 692, 7312, 2626, 543, 1315, 340, 270, 19575, 1090, 833, 10204, 779, 2626, 267, 799, 3576, 1114, 4485, 616, 8710, 5944, 5266, 2673, 547, 835, 1776, 630, 15200, 610, 14263, 835, 3368, 540, 513, 1614, 3766, 528, 2471, 2481, 6393, 6097, 547, 513, 2656, 24440, 267, 519, 13621, 1448, 540, 6405, 568, 5111, 476, 5611, 271, 2554, 524, 16364, 543, 519, 2837, 540, 29351, 568, 10199, 476, 1911, 271, 268, 6344, 271, 524, 16364, 269, 1924, 513, 9649, 11690, 949, 2965, 3180, 2439, 10037, 2798, 11025, 2798, 476, 272, 3923, 3516, 692, 763, 1966, 568, 267, 646, 1315, 1352, 4667, 547, 3575, 5787, 725, 543, 6991, 269, 476, 272, 267, 13078, 267, 6110, 267, 1822, 267, 1822, 815, 476, 272, 267, 4335, 267, 1822, 267, 1822, 4846, 2608, 476, 3199, 274, 269, 277, 544, 4882, 269, 2334, 568, 519, 11610, 538, 715, 338, 267, 711, 519, 3196, 538, 715, 269, 634, 2898, 1935, 4667, 547, 581, 10750, 4636, 780, 1691, 2798, 1428, 2798, 476, 272, 3923, 3516, 692, 31800, 1695, 544, 4882, 568, 711, 544, 4882, 273, 692, 1321, 2798, 1724, 2798, 476, 272, 3923, 3516, 692, 296, 1500, 1250, 2022, 7361, 1317, 594, 4718, 513, 2979, 2243, 538, 513, 2979, 1016, 1141, 782, 519, 9708, 941, 8369, 609, 1100, 2979, 7923, 269, 1403, 596, 1589, 594, 4312, 3893, 621, 4636, 267, 594, 9364, 2648, 547, 1294, 519, 2338, 593, 513, 811, 2953, 7447, 2439, 2690, 1250, 9819, 267, 594, 10924, 519, 16411, 1131, 17108, 519, 1570, 693, 519, 1283, 540, 519, 18962, 547, 922, 2407, 3432, 538, 513, 2582, 2034, 267, 865, 594, 5701, 519, 3432, 543, 10231, 607, 519, 1482, 3364, 269, 594, 4769, 1405, 798, 513, 1434, 2816, 540, 7713, 602, 538, 1250, 19060, 547, 798, 2979, 593, 1919, 267, 20994, 269, 4595, 1250, 3804, 729, 513, 1360, 11315, 7447, 547, 1683, 513, 29749, 2626, 547, 513, 29749, 2243, 267, 594, 23125, 602, 835, 2034, 16411, 1131, 581, 2673, 2614, 547, 1205, 538, 519, 1318, 3440, 335, 1046, 1510, 3478, 4503, 538, 519, 18047, 540, 4010, 875, 15027, 26706, 960, 780, 278, 2798, 279, 2798, 476, 272, 3923, 3516, 692, 12552, 585, 707, 2626, 269, 2334, 6941, 707, 7744, 269, 1809, 547, 581, 4023, 281, 972, 568, 1100, 2601, 547, 8263, 606, 10231, 1974, 540, 513, 2034, 269, 898, 1223, 581, 476, 1911, 20444, 9847, 476, 1015, 2053, 519, 1267, 267, 476, 272, 20444, 9847, 476, 1911, 271, 2053, 519, 1267, 610, 4376, 3116, 269, 2334, 568, 519, 16602, 3787, 952, 596, 1152, 723, 519, 11610, 269, 1924, 538, 1250, 3750, 713, 13429, 568, 5393, 16977, 543, 538, 1250, 4064, 7301, 269, 1411, 8072, 961, 1265, 1250, 19583, 2630, 267, 14322, 513, 3586, 1648, 1871, 780, 268, 275, 2798, 268, 274, 2798, 476, 272, 3923, 3516, 692, 2224, 789, 269, 621, 781, 1318, 972, 267, 1946, 946, 646, 24172, 692, 272, 1448, 273, 2798, 476, 272, 3923, 3516, 692, 20357, 6148, 646, 781, 606, 19473, 344, 626, 780, 271, 2798, 272, 1448, 476, 272, 3923, 3516, 692, 1692, 3905, 1131, 519, 6405, 1205, 607, 621, 524, 999, 692, 271, 2798, 272, 1448, 476, 272, 3923, 3516, 692, 2171, 666, 1544, 585, 602, 269, 20405, 13248, 267, 3500, 10826, 7848, 267, 476, 5390, 1216, 780, 271, 2798, 272, 1448, 476, 272, 3923, 3516, 692, 2005, 1131, 3180, 2394, 596, 10393, 723, 6266, 540, 4130, 32062, 884, 9405, 782, 1472, 607, 519, 29351, 3274, 9060, 12341, 3116, 547, 979, 269, 2107, 519, 2604, 5170, 547, 1628, 2394, 621, 4991, 2462, 2614, 547, 1402, 519, 524, 1251, 609, 1256, 811, 16160, 2164, 780, 7830, 2798, 8287, 2798, 476, 272, 3923, 3516, 692, 296, 899, 707, 2856, 543, 11760, 519, 4674, 269, 1809, 594, 3112, 1246, 707, 4555, 693, 519, 1747, 1141, 596, 1376, 547, 2119, 547, 3142, 519, 4358, 6991, 693, 519, 14827, 547, 4642, 269, 1703, 616, 1079, 2042, 281, 476, 272, 264, 513, 6991, 543, 513, 2527, 2995, 596, 4986, 827, 519, 3196, 267, 1152, 827, 519, 11610, 269, 589, 1126, 568, 538, 6240, 2111, 547, 17108, 513, 1896, 476, 1911, 512, 7395, 299, 5271, 547, 607, 3728, 607, 519, 1126, 666, 2196, 269, 1809, 519, 1126, 5787, 919, 519, 5721, 7444, 269, 594, 1589, 972, 568, 513, 12161, 1934, 630, 528, 594, 3274, 798, 711, 1174, 621, 1040, 476, 273, 4700, 596, 3100, 547, 3575, 10231, 543, 6991, 269, 898, 568, 711, 2009, 547, 2569, 513, 3432, 547, 2630, 476, 280, 269, 279, 544, 4882, 273, 267, 3274, 1317, 544, 4882, 273, 568, 711, 513, 3432, 780, 12179, 1811, 281, 7064, 585, 707, 9295, 543, 1832, 909, 519, 1434, 960, 780, 31171, 281, 594, 2219, 827, 621, 267, 707, 1935, 568, 267, 20994, 267, 10750, 4636, 269, 1403, 596, 917, 5086, 543, 608, 1746, 6991, 540, 513, 1788, 850, 267, 596, 723, 3388, 2556, 547, 5173, 519, 1788, 850, 5163, 269, 7136, 568, 711, 2556, 267, 1775, 4318, 269, 596, 3112, 946, 2527, 547, 12189, 519, 5163, 267, 952, 519, 4358, 6991, 568, 1305, 780, 4913, 267, 547, 946, 707, 2856, 281, 972, 568, 513, 1259, 547, 12189, 519, 4358, 5163, 267, 952, 596, 8263, 519, 1648, 568, 2016, 543, 649, 11716, 602, 851, 540, 519, 1648, 1590, 581, 1031, 547, 2736, 519, 1570, 1863, 780, 763, 1648, 602, 26751, 12320, 3780, 2322, 883, 519, 519, 1570, 568, 3274, 661, 815, 2527, 2608, 575, 2608, 554, 267, 1141, 554, 568, 8445, 4463, 630, 3451, 5998, 264, 14263, 4358, 4463, 630, 349, 476, 272, 5998, 264, 9625, 476, 3953, 5998, 269, 1924, 1631, 649, 1616, 26751, 12320, 3780, 547, 1175, 29424, 602, 1570, 676, 513, 3787, 269, 2913, 779, 2161, 267, 476, 3953, 6515, 3079, 540, 476, 3953, 5998, 269, 554, 1315, 554, 16062, 5896, 815, 476, 3953, 2608, 476, 9818, 1315, 630, 3953, 2608, 476, 1015, 24877, 274, 16585, 815, 476, 11793, 780, 3383, 547, 2569, 519, 4463, 547, 476, 3953, 6515, 649, 991, 476, 11793, 2053, 519, 3312, 2527, 267, 610, 476, 272, 267, 4335, 267, 1822, 267, 1822, 267, 1822, 512, 540, 6405, 780, 8287, 2798, 5038, 2798, 476, 272, 3923, 3516, 692, 2026, 513, 8979, 6048, 1775, 723, 519, 14849, 991, 547, 910, 2407, 5944, 3222, 540, 713, 1373, 834, 560, 1575, 573, 257, 2979, 910, 20726, 693, 513, 6263, 31605, 780, 763, 6991, 540, 30275, 539, 1570, 568, 1454, 14887, 865, 1447, 6405, 1131, 581, 2877, 708, 713, 1383, 269, 634, 2601, 726, 15687, 26706, 1106, 971, 1164, 20349, 9587, 568, 602, 519, 3905, 3154, 543, 11849, 3002, 519, 4478, 2011, 543, 1711, 513, 7372, 28681, 1591, 602, 3560, 338, 519, 751, 874, 571, 883, 519, 14404, 14459, 780, 6546, 1373, 1767, 267, 726, 19982, 606, 23292, 18962, 4440, 568, 519, 31945, 652, 3364, 2479, 16545, 543, 1131, 2693, 1152, 1291, 547, 606, 1256, 8273, 16411, 269, 7395, 2742, 2141, 9060, 513, 1259, 780, 21093, 7759, 540, 519, 7823, 543, 14155, 908, 519, 29351, 12068, 547, 5305, 2604, 568, 339, 4440, 811, 2500, 780, 296, 9364, 2648, 2576, 547, 5173, 602, 2439, 274, 2798, 275, 2798, 476, 272, 3923, 3516, 692, 6546, 781, 4277, 547, 917, 827, 519, 1259, 20349, 9587, 1205, 2813, 256, 1280, 930, 2601, 2182, 1239, 593, 519, 4229, 3238, 609, 513, 476, 273, 267, 1822, 1032, 2025, 15027, 20349, 14201, 1405, 11593, 2139, 267, 865, 594, 1185, 547, 1118, 513, 2603, 540, 10054, 543, 2489, 3074, 780, 2005, 781, 9090, 513, 15265, 2856, 547, 11690, 26751, 12320, 3780, 267, 799, 786, 9090, 6861, 25048, 701, 4512, 1256, 9875, 269, 1809, 621, 781, 513, 1187, 2243, 547, 1404, 1472, 609, 780, 271, 2798, 272, 1448, 476, 272, 3923, 3516, 692, 31800, 1695, 267, 594, 1705, 3575, 1250, 23199, 972, 269, 594, 10924, 602, 519, 20349, 1131, 798, 782, 540, 922, 23960, 538, 519, 1101, 2034, 267, 865, 594, 1223, 1521, 519, 3432, 693, 10131, 607, 10231, 1510, 3257, 811, 9273, 538, 1063, 269, 9701, 4312, 1031, 1697, 2474, 543, 1500, 602, 13429, 2312, 267, 20994, 780, 8794, 519, 2698, 1648, 568, 606, 4277, 1935, 602, 13352, 1134, 609, 519, 1239, 649, 723, 547, 1404, 609, 256, 2334, 2179, 540, 6405, 1131, 1106, 513, 11690, 476, 4391, 267, 278, 2918, 14790, 538, 4463, 267, 799, 568, 7381, 2614, 547, 2220, 520, 519, 3486, 2230, 6728, 856, 540, 519, 6607, 3362, 267, 855, 1152, 513, 20870, 540, 519, 1259, 547, 519, 7599, 267, 865, 649, 4465, 1405, 29424, 883, 602, 693, 2547, 269, 901, 2965, 4667, 7050, 547, 803, 1256, 585, 513, 15027, 20349, 267, 799, 2306, 803, 4898, 952, 649, 4312, 14406, 1945, 3116, 780, 1626, 2798, 1704, 2798, 476, 272, 3923, 3516, 692, 1556, 2798, 1321, 2798, 476, 272, 3923, 3516, 692, 21353, 1227, 513, 2603, 540, 13212, 692, 1428, 2798, 1626, 2798, 476, 272, 3923, 3516, 692, 1607, 568, 11344, 267, 855, 1869, 11544, 4559, 4991, 803, 1169, 2582, 942, 269, 1284, 991, 513, 476, 4281, 269, 1724, 332, 524, 1251, 547, 3514, 3330, 513, 476, 4968, 1111, 8559, 13718, 278, 2798, 279, 2798, 476, 272, 3923, 3516, 692, 2791, 849, 16053, 519, 1249, 602, 15027, 11849, 12269, 616, 5645, 909, 711, 1152, 676, 741, 1378, 11610, 267, 855, 676, 741, 26255, 3599, 3448, 547, 519, 4478, 2011, 780, 273, 2798, 274, 2798, 476, 272, 3923, 3516, 692, 11039, 267, 594, 1705, 11716, 2011, 4187, 267, 865, 621, 4667, 1152, 4023, 547, 11716, 2011, 6351, 607, 1134, 13718, 275, 2798, 276, 2798, 476, 272, 3923, 3516, 692, 4131, 803, 849, 1039, 602, 713, 568, 513, 5934, 9003, 1317, 519, 6592, 20349, 729, 519, 1448, 693, 799, 519, 6418, 3618, 4229, 22848, 877, 519, 4224, 1657, 269, 4634, 811, 2604, 568, 2693, 547, 581, 2009, 543, 949, 723, 1624, 3293, 952, 2161, 596, 2322, 513, 7372, 28973, 540, 6405, 593, 1283, 540, 519, 7823, 2433, 2020, 272, 1448, 273, 2798, 476, 272, 3923, 3516, 692, 296, 1224, 602, 538, 513, 476, 3422, 278, 779, 13836, 3045, 1735, 1356, 936, 519, 5925, 5639, 585, 930, 2601, 692, 272, 1448, 273, 2798, 476, 272, 3923, 3516, 692, 296, 1589, 594, 1616, 782, 1250, 9708, 547, 581, 1224, 713, 1259, 689, 1631, 593, 13718, 272, 1448, 273, 2798, 476, 272, 3923, 3516, 692, 296, 917, 621, 779, 29749, 855, 594, 6557, 3206, 875, 594, 993, 2469, 547, 5838, 602, 1454, 6405, 693, 602, 1283, 269, 634, 3328, 6802, 666, 798, 513, 12945, 11281, 538, 513, 1295, 602, 3217, 2673, 547, 11152, 1296, 585, 835, 6802, 780, 272, 1448, 273, 2798, 476, 272, 3923, 3516, 692, 271, 2798, 272, 1448, 476, 272, 3923, 3516, 692, 14188, 596, 585, 519, 2979, 780, 271, 2798, 272, 1448, 476, 272, 3923, 3516, 692, 3719, 1869, 519, 3002, 1131, 15835, 621, 1022, 1811, 267, 4465, 1405, 621, 2496, 271, 2798, 272, 1448, 476, 272, 3923, 3516, 692, 9617, 8049, 952, 649, 666, 2015, 29749, 15027, 23419, 781, 2837, 267, 786, 602, 1689, 519, 3830, 2496, 271, 2798, 272, 1448, 476, 272, 3923, 3516, 692, 3719, 713, 1131, 1152, 581, 513, 2110, 2165, 4368, 607, 2604, 1131, 3136, 547, 1628, 2394, 707, 524, 1251, 8929, 1055, 269, 898, 6926, 342, 6306, 513, 7823, 543, 1934, 713, 2979, 3081, 1175, 2322, 513, 7823, 593, 1283, 540, 1141, 972, 729, 513, 7823, 269, 1924, 952, 519, 20349, 16768, 476, 1240, 3108, 1287, 972, 2115, 547, 581, 513, 9819, 585, 519, 2179, 540, 2527, 6410, 269, 3502, 1175, 519, 2527, 14593, 538, 519, 5790, 269, 9406, 2496, 271, 2798, 272, 1448, 476, 272, 3923, 3516, 692, 15987, 2604, 2115, 922, 5305, 267, 621, 786, 1175, 2097, 856, 12341, 3116, 780, 271, 2798, 272, 1448, 476, 272, 3923, 3516, 692, 7336, 657, 687, 907, 527, 530, 2632, 3247 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2918, 270, 1911, 1109, 9943, 476, 2004, 815, 1109, 2918, 6398, 476, 276, 270, 1911, 454, 284, 9873, 270, 1015, 454, 284, 476, 1724, 692, 3721, 476, 274, 1384, 4097, 270, 1911, 1109, 9943, 476, 2004, 815, 1109, 4097, 6398, 476, 276, 270, 1911, 454, 284, 10204, 270, 1015, 454, 284, 476, 1704, 692, 3721, 476, 275, 1384, 305, 5725, 3873, 4607, 519, 5021, 1297, 540, 16018, 267, 799, 729, 476, 736, 269, 4475, 267, 681, 5725, 3873, 1058, 581, 11221, 607, 513, 6895, 780, 763, 16771, 568, 6074, 1759, 593, 519, 5021, 1297, 540, 16018, 269, 4475, 267, 519, 32469, 1505, 568, 1031, 780, 274, 264, 769, 513, 22810, 2060, 513, 15510, 540, 476, 273, 267, 2004, 267, 1822, 267, 1703, 12984, 606, 30760, 585, 513, 12896, 623, 2784, 7315, 630, 306, 541, 3966, 577, 1040, 5565, 15443, 573, 919, 21518, 30557, 18830, 3962, 4033, 269, 4934, 540, 519, 11192, 15510, 267, 476, 4029, 267, 25851, 4658, 9894, 3502, 10011, 4256, 966, 4925, 780, 272, 269, 12433, 519, 11192, 7089, 540, 966, 4925, 10011, 888, 273, 269, 12433, 519, 29358, 966, 4925, 22490, 547, 12736, 519, 30760, 3414, 11683, 640, 966, 7627, 2496, 272, 269, 11192, 2551, 815, 476, 273, 267, 2004, 267, 1822, 454, 10831, 540, 1004, 945, 1705, 711, 5641, 741, 16018, 815, 476, 4029, 267, 25851, 454, 10831, 540, 16018, 5641, 815, 476, 273, 267, 2004, 267, 1822, 1107, 476, 4029, 267, 25851, 454, 284, 476, 273, 267, 1240, 267, 29121, 692, 273, 269, 1677, 3094, 519, 9550, 267, 519, 10457, 1058, 4309, 811, 982, 476, 2004, 260, 540, 519, 16018, 780, 13707, 1297, 540, 16018, 815, 476, 273, 267, 1240, 267, 29121, 0, 12709, 285, 12385, 24136, 285, 763, 9650, 5174, 17344, 1782, 7089, 25627, 1411, 654, 517, 1406, 5617, 10079, 281, 476, 273, 267, 476, 278, 267, 476, 2918, 267, 476, 6200, 267, 476, 6110, 2507, 1548, 1290, 525, 8921, 2496, 12385, 24136, 692, 763, 9650, 5174, 17344, 1782, 7089, 25627, 1411, 654, 517, 1406, 5617, 10079, 281, 476, 273, 267, 476, 278, 267, 476, 2918, 267, 476, 6200, 267, 476, 6110, 2507, 1548, 1290, 525, 8921, 2496, 24309, 676, 281, 31704, 2284, 1160, 1087, 518, 692, 4462, 16225, 519, 2247, 1532, 17344, 1782, 1297, 5311, 538, 6128, 281, 476, 273, 267, 476, 278, 267, 476, 2918, 267, 476, 6200, 267, 476, 6110, 1862, 1548, 2501, 1985, 286, 5548, 557, 883, 519, 10578, 4806, 543, 1265, 856, 519, 1985, 1297, 538, 519, 5311, 780, 7072, 692, 5331, 588, 22824, 2390, 513, 5311, 540, 2338, 602, 3100, 547, 1219, 344, 782, 7954, 543, 2601, 269, 1411, 1376, 609, 476, 273, 267, 1287, 476, 278, 267, 4553, 676, 476, 2918, 267, 476, 6200, 267, 543, 476, 6110, 269, 2311, 1101, 16145, 267, 891, 2338, 2408, 547, 723, 1100, 20559, 1043, 4806, 267, 6028, 596, 31153, 707, 2212, 538, 581, 32612, 518, 618, 269, 8616, 267, 972, 781, 606, 10578, 27559, 547, 713, 28430, 5311, 602, 939, 330, 976, 585, 6251, 14791, 269, 1306, 596, 5490, 4514, 267, 596, 3513, 10625, 519, 30811, 1158, 540, 6310, 9696, 267, 1141, 3270, 543, 3347, 18595, 710, 547, 1106, 513, 9159, 13795, 540, 10230, 4898, 780, 1103, 713, 2376, 267, 649, 786, 7832, 593, 606, 17938, 1791, 908, 3460, 998, 519, 2247, 1532, 17344, 1782, 1297, 5311, 267, 19586, 532, 922, 13655, 543, 3695, 519, 5817, 3270, 602, 1827, 922, 11144, 269, 16259, 547, 581, 4230, 15903, 607, 649, 5490, 883, 519, 7706, 540, 6310, 679, 580, 5733, 267, 1141, 519, 9583, 26093, 3947, 1259, 547, 519, 30811, 10103, 540, 10230, 3270, 269, 1924, 267, 3728, 523, 707, 10160, 321, 3881, 543, 1205, 4712, 547, 7832, 593, 513, 13858, 7045, 998, 519, 9159, 5251, 540, 1297, 9696, 780, 763, 7089, 25627, 4112, 7134, 692, 4263, 1101, 16145, 267, 519, 5311, 476, 273, 267, 476, 278, 267, 476, 2918, 267, 476, 6200, 267, 476, 6110, 949, 2408, 829, 14658, 532, 267, 3592, 607, 952, 519, 2338, 616, 4730, 513, 3014, 540, 12404, 7146, 5498, 2131, 609, 1022, 20559, 1043, 4806, 269, 1717, 267, 9944, 519, 2627, 6013, 513, 9159, 6310, 2497, 7996, 547, 581, 30792, 269, 2913, 781, 7832, 593, 513, 3460, 547, 21264, 519, 679, 7950, 3297, 713, 5311, 780, 763, 1883, 547, 1620, 713, 5311, 6013, 538, 9301, 519, 2078, 1063, 15654, 2474, 269, 1635, 6313, 519, 10616, 1063, 1142, 6292, 540, 2338, 267, 513, 4241, 4806, 5956, 547, 10836, 269, 634, 3017, 1063, 476, 278, 543, 476, 273, 568, 476, 276, 267, 1287, 476, 2918, 268, 278, 11729, 476, 866, 267, 476, 6200, 268, 2918, 3947, 476, 4037, 267, 543, 476, 6110, 268, 6200, 2164, 538, 476, 26482, 269, 1452, 3604, 267, 610, 10616, 267, 1063, 15654, 2474, 616, 711, 17062, 282, 789, 3180, 519, 1883, 547, 19586, 532, 519, 5311, 781, 5817, 2497, 780, 26796, 6251, 6514, 267, 4230, 1393, 24319, 949, 5469, 602, 519, 3604, 1063, 15654, 2474, 616, 711, 4351, 2338, 269, 5502, 267, 789, 1246, 513, 3982, 4806, 269, 769, 1249, 267, 519, 3604, 2408, 547, 581, 2810, 693, 513, 5812, 2557, 269, 901, 8343, 23456, 693, 513, 1761, 12825, 2078, 12044, 519, 5311, 267, 1141, 1142, 2165, 568, 6508, 689, 519, 3105, 835, 998, 513, 9836, 543, 22150, 1184, 780, 2026, 649, 5490, 4514, 883, 519, 5311, 267, 519, 2078, 1063, 519, 2474, 3587, 5051, 7805, 269, 634, 5311, 4667, 547, 581, 9112, 676, 9870, 1142, 2165, 547, 513, 1379, 267, 1287, 4946, 513, 1808, 3586, 547, 6556, 519, 1985, 2165, 269, 901, 20185, 21048, 2812, 519, 5311, 781, 6456, 2470, 267, 13321, 621, 689, 513, 829, 14658, 532, 5044, 540, 2338, 883, 606, 17715, 6310, 4082, 780, 1103, 9759, 267, 519, 5311, 666, 581, 6829, 607, 5205, 1384, 1892, 476, 273, 317, 273, 1341, 476, 274, 815, 476, 278, 454, 1892, 476, 278, 317, 273, 1341, 476, 276, 815, 476, 2918, 454, 1892, 476, 2918, 317, 273, 1341, 476, 278, 815, 476, 6200, 454, 1892, 476, 6200, 317, 273, 1341, 476, 280, 815, 476, 6110, 692, 3528, 9301, 713, 4806, 267, 519, 5311, 13289, 689, 606, 679, 7950, 547, 606, 17715, 4082, 540, 6310, 3347, 269, 3962, 2165, 568, 5704, 2299, 5532, 547, 922, 21530, 25600, 998, 513, 9836, 1184, 267, 21048, 4979, 519, 5311, 781, 5817, 2497, 543, 13321, 621, 883, 513, 9159, 6310, 14952, 780, 2026, 649, 19586, 519, 14960, 540, 713, 5311, 267, 519, 1654, 559, 540, 9814, 5956, 547, 12740, 267, 13031, 519, 17715, 10103, 543, 1931, 602, 896, 12340, 1018, 7620, 7902, 607, 14784, 269, 2060, 519, 5311, 781, 6418, 25029, 1631, 4547, 547, 1769, 267, 649, 616, 26405, 547, 2263, 519, 30811, 3270, 543, 3347, 602, 1827, 922, 11144, 780, 303, 16993, 543, 17716, 692, 763, 5311, 476, 273, 267, 476, 278, 267, 476, 2918, 267, 476, 6200, 267, 476, 6110, 15225, 513, 30811, 16799, 540, 3270, 543, 3347, 602, 25186, 6071, 10230, 11144, 269, 1306, 649, 5490, 4514, 883, 713, 10230, 1623, 21620, 267, 6946, 3270, 2253, 547, 10836, 267, 21048, 4979, 519, 5817, 3347, 602, 1827, 519, 5311, 781, 11144, 780, 26796, 6251, 14791, 267, 513, 7415, 4806, 3587, 10423, 281, 519, 3604, 1063, 15654, 2474, 1246, 513, 3982, 543, 5812, 11144, 269, 634, 10616, 1063, 519, 2338, 267, 476, 276, 267, 476, 866, 267, 476, 4037, 267, 543, 476, 26482, 267, 616, 711, 17062, 2418, 282, 2864, 267, 789, 15666, 547, 513, 9836, 2333, 269, 901, 8343, 23456, 693, 513, 1761, 12825, 2078, 12044, 519, 5311, 267, 1141, 1142, 2165, 568, 6508, 689, 519, 3105, 835, 998, 513, 22150, 543, 17715, 1184, 780, 10702, 3408, 8761, 519, 5311, 781, 6946, 2497, 267, 1141, 1142, 2165, 568, 5704, 2299, 5532, 547, 922, 21530, 25600, 998, 513, 9836, 1184, 269, 634, 4806, 4652, 9529, 607, 1142, 2165, 568, 5833, 676, 9870, 519, 18631, 2165, 547, 513, 1379, 543, 1287, 4946, 513, 1808, 3586, 269, 901, 13414, 21810, 519, 5311, 689, 513, 6071, 4015, 540, 2338, 883, 606, 17715, 4082, 540, 6310, 3347, 780, 3528, 9301, 713, 5817, 4806, 267, 519, 5311, 25186, 922, 3355, 28430, 2470, 543, 19674, 607, 513, 9159, 6310, 14952, 269, 634, 18900, 16799, 1063, 519, 2474, 20502, 519, 7915, 1931, 543, 15340, 602, 896, 12340, 1018, 7620, 7902, 607, 14784, 269, 901, 11295, 11144, 21048, 2812, 519, 5311, 781, 5817, 5898, 267, 18136, 721, 547, 14952, 693, 519, 9159, 7544, 540, 2338, 543, 3347, 780, 2026, 649, 3136, 547, 19586, 519, 5311, 781, 6946, 13795, 267, 519, 7096, 25872, 540, 519, 2474, 3587, 5051, 7805, 269, 634, 5311, 25186, 6071, 10230, 11144, 543, 21810, 883, 513, 9159, 2239, 540, 6310, 3347, 267, 1141, 1142, 2165, 16900, 8928, 883, 519, 1985, 267, 11461, 676, 606, 17715, 543, 22150, 4806, 780, 1103, 9759, 267, 519, 5311, 781, 11144, 568, 711, 513, 4351, 25819, 540, 2338, 282, 2864, 267, 621, 568, 513, 23939, 18705, 1623, 21620, 540, 6310, 3347, 269, 634, 3270, 543, 3347, 12044, 519, 5311, 781, 11144, 16436, 721, 547, 9263, 883, 519, 30811, 1158, 540, 10230, 10103, 267, 1141, 1142, 2165, 568, 513, 4062, 540, 513, 3677, 6310, 11015, 7996, 547, 581, 19586, 539, 780, 2026, 649, 1796, 538, 25713, 540, 519, 5311, 781, 6946, 3270, 543, 3347, 267, 649, 616, 4412, 8215, 883, 513, 7706, 1141, 14784, 3947, 1259, 547, 1931, 267, 543, 679, 7950, 21810, 883, 25894, 269, 634, 5311, 939, 330, 976, 721, 547, 7832, 593, 513, 9159, 3460, 998, 519, 30811, 5251, 540, 6310, 2261, 12069, 267, 1141, 3270, 543, 3347, 18595, 710, 547, 15827, 513, 18198, 13795, 540, 10230, 4898, 780, 303, 6372, 8921, 10606, 692, 2026, 649, 1796, 693, 519, 10511, 823, 540, 713, 9159, 10230, 3460, 267, 519, 21915, 531, 1944, 2243, 14340, 281, 1018, 2501, 1985, 538, 519, 30811, 5311, 476, 273, 267, 476, 278, 267, 476, 2918, 267, 476, 6200, 267, 476, 6110, 286, 2060, 1142, 2165, 5704, 2299, 5532, 547, 922, 21530, 25600, 998, 513, 9836, 543, 17715, 1184, 267, 519, 1391, 547, 21048, 559, 519, 1985, 2338, 939, 330, 976, 721, 883, 519, 7706, 540, 6310, 25127, 543, 24736, 780, 2414, 20559, 519, 1761, 1985, 2338, 538, 713, 5311, 267, 649, 1590, 1101, 19586, 519, 5817, 4806, 602, 1754, 985, 922, 11144, 269, 634, 5311, 267, 607, 649, 723, 4362, 267, 4652, 9529, 998, 513, 22111, 16799, 540, 9870, 1142, 2165, 547, 513, 1379, 543, 4946, 513, 1808, 3586, 269, 901, 9836, 1184, 21048, 2812, 519, 5311, 781, 6456, 2470, 267, 13321, 621, 689, 513, 829, 14658, 532, 5044, 540, 2338, 883, 606, 17715, 4082, 540, 6310, 3347, 780, 4415, 713, 1620, 538, 2247, 267, 649, 666, 14679, 883, 519, 7706, 540, 25127, 267, 11461, 676, 519, 5311, 781, 7915, 3270, 543, 3347, 269, 1635, 7311, 519, 3964, 4806, 547, 519, 2063, 1634, 2165, 267, 476, 6110, 267, 649, 666, 17429, 576, 519, 1985, 2338, 538, 519, 5311, 780, 2252, 649, 3136, 519, 4806, 540, 9870, 519, 3105, 2165, 547, 513, 1379, 543, 4946, 513, 1808, 3586, 267, 519, 1985, 2338, 538, 519, 5311, 11200, 607, 5205, 1384, 1892, 476, 6110, 317, 273, 1341, 476, 1556, 815, 476, 8182, 18733, 454, 1892, 476, 8182, 18733, 317, 273, 1341, 476, 1724, 815, 476, 16348, 28873, 6110, 1691, 454, 1892, 476, 16348, 28873, 6110, 1691, 317, 273, 1341, 476, 1428, 815, 476, 277, 4649, 274, 4281, 280, 6858, 6021, 274, 3583, 274, 280, 4029, 31256, 692, 7437, 713, 23019, 3408, 267, 649, 7198, 519, 5311, 4652, 584, 1782, 883, 513, 30811, 11144, 540, 2338, 267, 1142, 5704, 2299, 5532, 547, 922, 21530, 25600, 998, 519, 3964, 4806, 269, 634, 9836, 3498, 540, 519, 5311, 781, 5817, 3347, 21048, 2812, 513, 9159, 2239, 540, 10230, 10103, 267, 1141, 1142, 2165, 16900, 8928, 883, 519, 1985, 267, 11461, 676, 606, 17715, 543, 22150, 4806, 780, 2026, 649, 22401, 2390, 519, 23019, 1985, 2338, 267, 649, 616, 27153, 538, 519, 30811, 5251, 540, 6310, 2261, 12069, 267, 1141, 3270, 543, 3347, 18595, 710, 547, 15827, 513, 18198, 13795, 540, 10230, 4898, 269, 634, 5311, 781, 11144, 25186, 6071, 10230, 25127, 543, 19674, 607, 513, 9159, 2239, 540, 6310, 3347, 267, 18136, 721, 547, 14952, 693, 519, 7915, 1931, 543, 15340, 602, 896, 12340, 1018, 7620, 7902, 607, 14784, 780, 1103, 713, 7706, 540, 6310, 25127, 267, 519, 5311, 476, 273, 267, 476, 278, 267, 476, 2918, 267, 476, 6200, 267, 476, 6110, 27372, 883, 513, 9159, 1623, 21620, 540, 2338, 267, 1141, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2690, 713, 7084, 594, 723, 6074, 547, 17412, 513, 3377, 2376, 968, 21691, 1470, 4934, 19874, 538, 16850, 590, 1157, 839, 476, 1015, 5753, 267, 9040, 625, 892, 676, 15576, 773, 7720, 23579, 585, 13235, 5240, 3896, 269, 634, 2376, 568, 18584, 476, 3066, 628, 540, 5239, 476, 1001, 274, 543, 28279, 593, 519, 12176, 540, 513, 5906, 3644, 538, 2112, 2389, 1941, 539, 16850, 563, 6097, 547, 519, 2376, 267, 519, 12176, 3323, 538, 519, 4098, 540, 5239, 476, 1001, 274, 538, 1546, 597, 1325, 2098, 712, 11662, 267, 609, 5359, 21338, 20825, 540, 8650, 1166, 3147, 573, 26900, 267, 1129, 540, 29887, 2068, 269, 4340, 547, 2622, 2657, 9257, 267, 4557, 540, 8938, 16143, 1453, 941, 7783, 538, 5239, 609, 29887, 267, 9002, 7820, 982, 476, 273, 1296, 1851, 873, 269, 9603, 547, 519, 3510, 267, 14959, 7150, 789, 786, 1376, 513, 3670, 18881, 1279, 6595, 12176, 3210, 31331, 1982, 593, 782, 519, 8513, 540, 16850, 543, 15231, 2477, 630, 1492, 3644, 568, 21049, 538, 2282, 268, 2391, 13280, 267, 15787, 543, 9031, 264, 547, 2149, 896, 268, 9404, 684, 1242, 1453, 269, 901, 2268, 568, 1271, 267, 1317, 16850, 814, 2938, 971, 606, 12176, 538, 2484, 476, 1960, 280, 543, 814, 711, 22734, 513, 1697, 12674, 1813, 547, 3540, 2112, 2094, 563, 763, 2376, 23131, 609, 3246, 9623, 593, 519, 3644, 281, 29887, 568, 5645, 538, 15499, 8778, 543, 568, 3362, 16865, 269, 898, 666, 581, 5293, 1268, 3562, 16512, 610, 998, 13572, 1216, 1949, 269, 2717, 1470, 666, 3468, 1973, 543, 8697, 11983, 10260, 267, 1818, 835, 540, 1079, 4627, 1004, 18385, 1612, 3315, 7458, 630, 17141, 267, 1152, 835, 3368, 540, 519, 1560, 568, 588, 4459, 523, 676, 26900, 1040, 1703, 568, 1100, 27179, 2126, 585, 29887, 267, 2495, 519, 2126, 568, 31916, 269, 1809, 519, 6669, 6818, 267, 543, 609, 922, 948, 29887, 3928, 12628, 676, 476, 4200, 260, 689, 476, 2735, 279, 547, 476, 1001, 273, 2687, 547, 519, 2376, 563, 1103, 519, 1439, 267, 2376, 11363, 519, 2956, 540, 1697, 9488, 12674, 538, 16850, 269, 1403, 711, 8737, 267, 519, 17061, 786, 2132, 936, 543, 936, 1586, 267, 9544, 5452, 585, 513, 5906, 15435, 543, 1439, 836, 1359, 1453, 2713, 538, 519, 3148, 563, 14454, 267, 538, 1250, 6644, 267, 519, 2376, 2488, 2614, 1344, 269, 15783, 9601, 543, 8513, 540, 856, 4944, 1348, 540, 15435, 616, 5462, 267, 4908, 543, 4128, 585, 621, 616, 2312, 267, 543, 3800, 547, 581, 3144, 616, 17019, 269, 5047, 267, 519, 2376, 2488, 8101, 10855, 1344, 593, 519, 3676, 1107, 875, 568, 10299, 267, 875, 621, 5540, 519, 11248, 267, 543, 875, 621, 666, 581, 23174, 563, 300, 1601, 773, 267, 918, 269, 630, 1001, 274, 1040, 2717, 1470, 4934, 19874, 538, 16850, 590, 1157, 839, 476, 1015, 5753, 267, 9040, 625, 269, 13235, 5240, 269, 8158, 689, 5291, 2517, 29582, 18080, 269, 2998, 2593, 270, 10890, 9706, 565, 1470, 13050, 19874, 1606, 344, 6319, 1606, 1157, 839, 268, 1015, 7302, 10242, 1532, 28320, 23995, 800, 286, 573, 284, 21709, 14530, 4029, 0, 15275, 2305, 540, 30355, 6545, 538, 519, 16231, 6243, 609, 513, 12102, 2990, 454, 15275, 604, 1731, 5451, 25556, 30355, 5451, 28325, 642, 17487, 490, 525, 651, 329, 1065, 889, 3697, 521, 2367, 20795, 514, 990, 383, 377, 332, 2022, 13273, 6403, 332, 454, 763, 3084, 16609, 814, 1869, 519, 1271, 1909, 538, 519, 1082, 1514, 521, 1304, 881, 8371, 269, 2290, 540, 873, 568, 16609, 540, 3084, 18441, 269, 634, 3084, 12102, 568, 3989, 676, 519, 1482, 6803, 521, 902, 607, 519, 4182, 910, 1378, 1893, 267, 2528, 543, 3084, 9637, 269, 30355, 6545, 5030, 538, 519, 8513, 540, 16231, 2477, 11489, 547, 519, 9668, 540, 519, 862, 3000, 16231, 657, 21754, 752, 1533, 875, 519, 1533, 268, 22056, 4182, 269, 2991, 519, 9668, 519, 1533, 476, 272, 269, 476, 272, 269, 476, 1960, 274, 789, 723, 1831, 519, 1034, 3875, 3084, 12102, 538, 519, 16231, 6243, 269, 634, 1101, 2243, 945, 1185, 547, 4194, 30355, 6545, 607, 519, 3084, 12102, 538, 519, 16231, 6243, 941, 519, 2243, 540, 3903, 540, 15114, 269, 20405, 569, 543, 7930, 30355, 6545, 2697, 609, 519, 12102, 2990, 269, 634, 1271, 1909, 693, 713, 4249, 519, 30355, 752, 4111, 757, 807, 267, 945, 1305, 909, 519, 30355, 6545, 12205, 267, 32245, 519, 30355, 752, 707, 11594, 543, 1418, 3278, 2686, 543, 1914, 762, 1272, 540, 519, 1007, 12102, 269, 8191, 13006, 602, 593, 519, 1383, 540, 2164, 540, 25349, 1382, 540, 519, 703, 699, 339, 5371, 6935, 538, 519, 3148, 540, 570, 384, 505, 20795, 27713, 563, 289, 9560, 690, 571, 325, 1157, 2946, 1217, 5451, 322, 773, 630, 12921, 994, 385, 510, 6938, 297, 2207, 10976, 383, 479, 267, 744, 384, 378, 8615, 269, 5772, 604, 1731, 5451, 25556, 30355, 5451, 28325, 642, 17487, 490, 525, 651, 329, 1065, 889, 3697, 521, 2367, 20795, 514, 990, 383, 377, 332, 2022, 13273, 6403, 332, 269, 17487, 490, 331, 913, 330, 513, 838, 23383, 25155, 333, 657, 385, 354, 267, 476, 1220, 271, 267, 887, 25155, 269, 476, 274, 267, 17487, 491, 269, 476, 274, 563, 385, 510, 6938, 297, 2207, 10976, 383, 479, 267, 744, 384, 378, 8615, 269, 22384, 540, 30355, 6545, 538, 519, 16231, 6243, 609, 513, 12102, 2990, 269, 10572, 543, 5980, 267, 476, 1220, 271, 267, 5292, 269, 476, 274, 267, 3143, 269, 476, 274, 563, 384, 490, 331, 17505, 758, 642, 7300, 454, 2894, 281, 22384, 540, 30355, 6545, 538, 519, 16231, 6243, 609, 513, 12102, 2990, 0, 18662, 7732, 1306, 589, 7690, 1308, 5153, 538, 19793, 1324, 17402, 4804, 540, 519, 3427, 454, 21609, 538, 7216, 19974, 4065, 538, 13280, 454, 11990, 16384, 21105, 744, 2381, 344, 328, 454, 763, 5441, 7732, 267, 5441, 540, 4065, 563, 302, 9857, 6751, 289, 476, 10711, 276, 17305, 4157, 17763, 267, 5484, 826, 588, 1961, 454, 32146, 31134, 4366, 272, 4366, 269, 19478, 2507, 1547, 28075, 21105, 558, 7236, 344, 328, 287, 326, 21166, 269, 635, 454, 309, 1112, 3645, 962, 655, 328, 674, 698, 321, 655, 328, 454, 23430, 540, 7732, 543, 6176, 3163, 563, 17206, 540, 13280, 267, 715, 338, 4157, 6390, 563, 271, 3583, 8287, 476, 275, 2918, 3393, 476, 278, 269, 661, 17733, 2507, 4757, 11333, 2593, 610, 586, 655, 332, 773, 4302, 523, 331, 281, 340, 569, 1695, 5622, 269, 635, 454, 15900, 19974, 2069, 568, 519, 2069, 3177, 538, 519, 3872, 5238, 547, 1453, 1991, 547, 741, 10024, 519, 3119, 1153, 269, 621, 2882, 519, 1212, 3832, 267, 519, 21543, 267, 543, 519, 9656, 269, 898, 5497, 547, 1020, 1453, 779, 6208, 267, 8456, 543, 1983, 2877, 585, 3119, 2069, 269, 634, 26556, 540, 519, 6859, 540, 2038, 6689, 2069, 31963, 593, 519, 8244, 540, 1153, 5399, 281, 3427, 5399, 609, 922, 2200, 568, 2938, 607, 519, 1883, 1523, 540, 1565, 1184, 2509, 7924, 9740, 540, 519, 1153, 1126, 269, 901, 1957, 11828, 519, 2495, 540, 2038, 6689, 2069, 267, 922, 3140, 1646, 543, 519, 6859, 540, 2038, 6689, 2069, 269, 898, 8711, 593, 519, 1523, 540, 1153, 5399, 607, 513, 4412, 2454, 3196, 538, 8236, 7924, 1565, 1369, 713, 1377, 540, 2069, 563, 763, 6859, 267, 519, 1747, 540, 1153, 5399, 543, 922, 2200, 538, 7924, 1565, 616, 5941, 269, 634, 1957, 12034, 1153, 3609, 543, 6437, 267, 1153, 1604, 267, 1753, 3310, 543, 4928, 607, 7133, 7924, 1565, 540, 519, 1153, 1126, 269, 898, 5212, 22106, 919, 585, 519, 2699, 30472, 540, 519, 1153, 3609, 543, 6437, 547, 1331, 519, 6805, 1893, 267, 2199, 1165, 9383, 2803, 543, 593, 519, 3390, 540, 1753, 3310, 267, 3237, 616, 547, 6108, 851, 540, 1406, 515, 597, 4747, 538, 9140, 2835, 585, 741, 1453, 543, 5000, 2542, 547, 1451, 4356, 693, 606, 2038, 2085, 269, 11334, 538, 519, 4928, 1058, 917, 519, 2010, 540, 2835, 1453, 2648, 547, 1224, 267, 607, 2460, 540, 7924, 1565, 543, 1711, 2542, 7944, 538, 519, 4928, 269, 0, 31624, 2391, 568, 513, 1826, 540, 11913, 267, 5626, 543, 2168, 18275, 267, 18275, 543, 12932, 9179, 602, 568, 6383, 1851, 1453, 543, 10708, 2073, 3622, 1282, 519, 1153, 3942, 563, 763, 11648, 568, 513, 1826, 540, 5208, 568, 6353, 607, 606, 3929, 4323, 602, 814, 513, 6107, 1895, 936, 1776, 1268, 630, 1492, 6408, 1070, 21260, 610, 796, 31695, 269, 10251, 267, 621, 568, 606, 5051, 1455, 12136, 538, 3506, 267, 1141, 2157, 540, 5208, 543, 28877, 616, 2810, 563, 2467, 616, 1896, 2010, 540, 11648, 6383, 676, 1585, 3123, 267, 1519, 519, 1970, 1582, 12635, 540, 519, 4439, 569, 945, 21593, 4743, 9120, 676, 5134, 11661, 1776, 267, 607, 1134, 607, 2123, 267, 1920, 610, 1153, 3123, 563, 763, 11648, 11913, 6353, 538, 602, 519, 3771, 817, 518, 20475, 922, 6057, 676, 519, 2262, 6427, 532, 2984, 267, 1210, 6937, 267, 1202, 6699, 267, 12183, 12849, 267, 2453, 12600, 610, 512, 17481, 827, 5920, 267, 9659, 610, 4638, 10066, 563, 2690, 1383, 267, 968, 2467, 568, 519, 2185, 4064, 5608, 547, 1346, 945, 723, 14296, 1317, 789, 723, 930, 3308, 7411, 267, 1851, 1866, 563, 763, 11648, 26430, 568, 9286, 883, 1079, 2010, 281, 1463, 543, 9940, 563, 763, 11648, 9940, 2168, 568, 6353, 676, 513, 1305, 540, 8261, 3527, 602, 798, 711, 5352, 2168, 2800, 547, 519, 6408, 269, 1280, 1383, 267, 950, 519, 705, 12528, 2848, 1023, 2576, 3116, 779, 2123, 28378, 610, 3762, 20822, 4967, 609, 25254, 6835, 563, 763, 11648, 1463, 2168, 568, 811, 18476, 543, 2653, 547, 5544, 676, 519, 1560, 602, 1419, 4734, 7436, 269, 20548, 4809, 2623, 2882, 737, 10107, 267, 18644, 267, 695, 8221, 267, 2468, 6137, 267, 1851, 1866, 269, 1280, 1383, 267, 950, 513, 1362, 22940, 568, 4963, 743, 539, 543, 14736, 539, 585, 1373, 1114, 689, 519, 1866, 563, 5445, 616, 519, 1305, 540, 3527, 5645, 856, 676, 25476, 538, 1931, 547, 23868, 513, 1268, 689, 513, 1514, 1895, 267, 2901, 676, 24937, 741, 4527, 267, 27195, 873, 689, 606, 2534, 267, 5806, 3215, 1996, 873, 1317, 540, 741, 2804, 3510, 267, 1851, 824, 1919, 563, 2690, 1383, 267, 711, 3850, 513, 1362, 22940, 547, 7119, 538, 513, 1895, 2534, 607, 1373, 804, 636, 1910, 563, 31624, 2391, 4638, 18275, 610, 4638, 454, 2005, 568, 513, 1826, 540, 18275, 610, 18275, 540, 4638, 25664, 566, 269, 769, 2489, 267, 519, 9601, 616, 6140, 6690, 269, 898, 666, 4734, 3978, 5626, 4539, 269, 6201, 540, 713, 1826, 540, 6057, 616, 3023, 626, 610, 25848, 2940, 8292, 267, 2168, 6285, 971, 607, 986, 6647, 267, 1851, 1866, 563, 1607, 1826, 540, 18275, 568, 5645, 856, 998, 5907, 2923, 543, 922, 1585, 2792, 9055, 998, 799, 29880, 267, 18086, 6835, 666, 581, 2366, 267, 2592, 267, 7044, 610, 2123, 1239, 666, 581, 3838, 267, 543, 713, 1344, 568, 1500, 1857, 538, 1931, 547, 4323, 1776, 563, 2690, 1383, 267, 7683, 8391, 18086, 6835, 267, 585, 1100, 2601, 267, 998, 1585, 1514, 5121, 267, 676, 606, 29880, 1268, 945, 30242, 547, 2800, 721, 8231, 958, 543, 2618, 10999, 563, 23536, 2406, 530, 13860, 1224, 281, 0, 288, 3950, 8778, 528, 786, 8858, 513, 2362, 1377, 540, 29404, 538, 6632, 2175, 543, 11878, 23704, 593, 11315, 4610, 982, 513, 12483, 8778, 528, 269, 2560, 1306, 519, 13475, 8778, 528, 26055, 909, 547, 519, 1283, 540, 519, 546, 3558, 610, 682, 557, 324, 267, 621, 786, 751, 2678, 4464, 543, 6749, 1524, 593, 1283, 540, 519, 4155, 2627, 610, 2361, 563, 3963, 798, 930, 8778, 832, 723, 13475, 888, 307, 13715, 723, 513, 1454, 3152, 2666, 3346, 1858, 602, 6971, 519, 8778, 528, 2597, 4483, 547, 519, 2666, 269, 2560, 769, 2474, 540, 20086, 267, 13475, 960, 1732, 538, 6632, 3037, 269, 570, 2231, 798, 607, 1134, 610, 1732, 538, 3819, 3037, 269, 570, 13715, 4043, 547, 10581, 2066, 519, 2666, 538, 6632, 13897, 267, 3976, 711, 2870, 678, 7491, 563, 1432, 568, 513, 3950, 18413, 8778, 528, 888, 288, 8778, 528, 3001, 593, 17875, 2401, 13475, 563, 1692, 798, 27424, 6472, 960, 888, 2026, 513, 27424, 6174, 7575, 267, 519, 4452, 540, 1142, 8868, 7575, 936, 519, 3950, 267, 11319, 1524, 543, 4464, 602, 851, 540, 519, 3618, 610, 6777, 18284, 621, 267, 13974, 547, 513, 8868, 539, 6174, 855, 547, 513, 14758, 6708, 1317, 519, 25500, 2337, 15814, 519, 4452, 563, 6701, 13475, 1732, 982, 14743, 888, 307, 13715, 723, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 3135, 267, 519, 1340, 539, 562, 1794, 8619, 3515, 267, 568, 513, 30832, 1782, 3126, 540, 2592, 29565, 3481, 883, 519, 2627, 540, 513, 9381, 10750, 827, 476, 18597, 5195, 5045, 540, 1929, 320, 267, 519, 269, 3509, 6436, 723, 13986, 547, 2491, 519, 2495, 540, 519, 562, 1794, 8619, 3515, 543, 3592, 782, 540, 873, 723, 8329, 1271, 1344, 547, 741, 1353, 269, 634, 562, 2444, 320, 3515, 610, 2520, 30735, 338, 538, 519, 9390, 540, 5045, 829, 340, 616, 1851, 519, 1034, 4583, 2686, 6561, 8978, 7664, 540, 519, 562, 2444, 320, 3515, 568, 9808, 9853, 609, 269, 2755, 519, 3515, 616, 17695, 1242, 547, 723, 1044, 2813, 585, 3909, 5301, 267, 519, 519, 12357, 3504, 4996, 638, 1470, 19401, 540, 562, 1794, 8619, 538, 829, 340, 9623, 602, 9814, 949, 723, 1044, 12193, 7064, 547, 606, 538, 3829, 2079, 540, 519, 4996, 638, 3930, 8339, 589, 1869, 689, 575, 2967, 659, 558, 781, 17245, 3126, 796, 792, 2251, 562, 1794, 8619, 540, 1896, 9490, 4703, 4362, 538, 513, 19772, 2282, 519, 562, 1794, 8619, 3515, 538, 7013, 829, 340, 689, 519, 1101, 31252, 2079, 267, 621, 729, 8810, 621, 781, 711, 32315, 345, 2465, 267, 621, 781, 711, 563, 301, 1794, 8619, 3515, 281, 1007, 9649, 2520, 30735, 540, 610, 8619, 4362, 538, 829, 340, 9390, 24259, 1310, 1296, 540, 2079, 267, 11808, 960, 267, 543, 7521, 267, 789, 4312, 269, 968, 684, 792, 2251, 562, 1794, 8619, 27535, 513, 1455, 2631, 1935, 547, 7421, 519, 1614, 972, 616, 1082, 2152, 609, 519, 562, 1794, 8619, 544, 16244, 799, 723, 1082, 11783, 5494, 2642, 538, 476, 4572, 277, 267, 829, 340, 781, 562, 1794, 8619, 3515, 723, 513, 1686, 602, 7389, 1394, 547, 585, 741, 1101, 1788, 267, 13538, 9916, 9682, 11052, 538, 519, 563, 7072, 3077, 1858, 1101, 3239, 16646, 540, 519, 1768, 2421, 2520, 30735, 3239, 16646, 540, 519, 562, 1794, 8619, 2520, 30735, 6476, 540, 1768, 2421, 543, 562, 1794, 8619, 269, 667, 14772, 941, 1031, 547, 3605, 519, 476, 1839, 12400, 267, 799, 4266, 1394, 513, 14262, 2079, 540, 476, 276, 267, 1822, 4458, 6040, 5642, 15998, 1397, 602, 519, 1004, 12617, 10294, 513, 796, 525, 1723, 1158, 6561, 3135, 538, 476, 1960, 275, 267, 519, 562, 1794, 8619, 3515, 269, 966, 517, 15854, 1731, 523, 630, 3192, 271, 264, 13187, 602, 519, 562, 1794, 8619, 3515, 543, 5515, 1223, 723, 1044, 2079, 281, 11308, 30367, 1665, 519, 26694, 540, 930, 540, 519, 1279, 3515, 543, 835, 1547, 645, 2084, 1010, 4661, 593, 606, 3573, 2361, 5619, 543, 513, 2780, 1242, 2079, 540, 519, 9511, 540, 519, 562, 2444, 320, 3515, 267, 646, 31234, 602, 519, 2786, 269, 589, 9649, 24564, 8790, 6973, 593, 519, 562, 2444, 320, 9390, 10750, 6602, 543, 2495, 2487, 31252, 2079, 2982, 602, 519, 9843, 3357, 689, 519, 562, 1794, 8619, 2551, 563, 763, 562, 1794, 8619, 9390, 12400, 616, 4440, 519, 4102, 543, 1655, 1634, 540, 741, 2186, 606, 12314, 7548, 693, 586, 600, 698, 1092, 6280, 267, 1310, 789, 9916, 2592, 269, 9294, 8619, 281, 7851, 540, 519, 562, 1794, 8619, 3515, 910, 2079, 711, 835, 2582, 4786, 568, 519, 1482, 910, 621, 781, 513, 29317, 875, 519, 3515, 616, 4421, 538, 829, 340, 910, 543, 972, 568, 6252, 1143, 609, 519, 2011, 269, 634, 562, 2444, 320, 3515, 610, 2520, 30735, 338, 723, 1044, 519, 1445, 540, 7521, 585, 936, 476, 3583, 1296, 1899, 3512, 2079, 540, 9682, 11052, 547, 12398, 5127, 13702, 3889, 543, 24966, 4586, 6097, 547, 519, 562, 1794, 8619, 16106, 281, 513, 3165, 344, 1650, 267, 519, 16957, 16106, 4137, 538, 519, 562, 1794, 8619, 3515, 568, 711, 606, 16106, 693, 782, 855, 513, 13278, 2006, 267, 7654, 1031, 547, 269, 634, 562, 1794, 8619, 3515, 1315, 16659, 333, 19508, 345, 330, 389, 495, 27474, 270, 616, 513, 3126, 540, 1804, 3504, 2520, 30735, 338, 538, 519, 562, 1794, 8619, 9390, 267, 519, 562, 1794, 8619, 3515, 281, 513, 1007, 5133, 593, 741, 5169, 543, 2495, 1929, 320, 281, 17485, 8930, 657, 568, 16818, 476, 10019, 268, 8660, 273, 11011, 268, 1704, 268, 280, 10487, 8538, 1512, 267, 31994, 575, 529, 2861, 2359, 269, 1358, 616, 2693, 1454, 4587, 982, 519, 4583, 562, 1794, 8619, 3515, 543, 799, 10741, 519, 7450, 547, 1007, 19165, 827, 922, 1599, 543, 2495, 269, 634, 562, 1794, 8619, 3515, 616, 606, 11108, 4015, 540, 2520, 30735, 338, 538, 519, 7013, 9390, 538, 741, 1148, 1519, 20341, 267, 543, 20955, 538, 1840, 547, 3327, 268, 1691, 2079, 563, 8110, 340, 781, 3504, 562, 1794, 8619, 3515, 941, 8697, 950, 513, 9920, 18417, 726, 15735, 1010, 18535, 14903, 883, 519, 17866, 15456, 3135, 538, 519, 9390, 11783, 634, 562, 1794, 8619, 3515, 1297, 538, 519, 5215, 267, 543, 519, 5318, 5354, 540, 873, 4266, 689, 1743, 521, 752, 2967, 543, 824, 3173, 9916, 519, 4087, 267, 2511, 267, 543, 1505, 540, 269, 27511, 281, 562, 2444, 320, 3515, 579, 822, 338, 541, 2366, 514, 601, 268, 272, 32646, 31785, 5852, 630, 1231, 541, 264, 606, 31785, 6248, 2079, 540, 32646, 1239, 630, 1231, 541, 264, 814, 1044, 1031, 547, 269, 0, 23149, 1143, 5288, 2445, 13659, 3594, 1775, 4927, 3442, 2828, 1851, 2367, 267, 855, 9444, 10437, 6862, 18544, 543, 1775, 4927, 3442, 1152, 971, 607, 5225, 803, 267, 543, 873, 1775, 269, 10572, 626, 5288, 2445, 22999, 4529, 1557, 476, 10384, 1913, 476, 274, 3817, 2528, 7516, 2686, 7516, 616, 2919, 676, 519, 6867, 577, 1514, 18673, 2520, 1068, 269, 4469, 760, 527, 3381, 910, 1367, 626, 543, 2445, 22999, 4529, 3381, 6345, 568, 15205, 1404, 3381, 1404, 544, 1393, 476, 271, 281, 876, 1315, 476, 271, 281, 876, 16041, 281, 476, 271, 260, 3356, 281, 476, 271, 260, 6908, 1462, 601, 633, 563, 8624, 937, 13659, 568, 519, 1016, 24503, 566, 540, 519, 1367, 538, 3870, 540, 519, 1895, 268, 2436, 971, 1895, 25701, 547, 513, 1978, 5198, 267, 1362, 610, 1533, 621, 20401, 525, 269, 9628, 693, 20393, 695, 745, 13949, 4838, 12129, 25488, 2228, 1557, 1367, 1143, 1367, 1143, 5288, 2445, 13659, 938, 2104, 513, 12819, 1557, 593, 1367, 1143, 1547, 634, 1909, 540, 519, 1367, 1143, 12258, 937, 13659, 10155, 538, 3845, 1565, 5288, 2445, 13659, 910, 7329, 341, 1367, 1143, 25701, 547, 7239, 538, 799, 3025, 568, 4397, 547, 1413, 1310, 4939, 1001, 563, 23149, 1143, 5288, 2445, 13659, 281, 1281, 519, 1367, 781, 1272, 4866, 547, 1864, 29932, 476, 6642, 273, 1107, 6245, 279, 281, 2038, 3594, 543, 682, 30519, 714, 781, 1007, 3594, 267, 476, 6642, 273, 1700, 6642, 279, 11783, 769, 3059, 12103, 657, 574, 267, 606, 3312, 1557, 2854, 585, 6316, 267, 2780, 10196, 543, 3059, 5075, 776, 795, 16336, 26816, 1512, 9060, 606, 1367, 610, 2043, 941, 9306, 513, 7209, 543, 2921, 5539, 544, 1662, 13522, 267, 799, 1450, 3742, 630, 341, 338, 269, 5131, 1367, 1143, 4574, 267, 3594, 267, 543, 1382, 4574, 29077, 5288, 1367, 1143, 543, 2445, 13659, 2528, 6436, 910, 1367, 1143, 543, 2445, 13659, 1547, 2290, 540, 519, 7887, 9840, 538, 519, 24947, 540, 15257, 543, 6530, 568, 519, 7521, 1063, 1367, 1143, 3594, 1367, 1143, 5288, 18541, 2445, 13659, 269, 6744, 856, 713, 11984, 1063, 1367, 2065, 543, 2445, 22999, 4529, 1557, 1957, 4444, 12600, 11984, 1063, 1367, 2065, 543, 2445, 22999, 563, 23149, 626, 4529, 267, 971, 607, 1346, 540, 519, 8087, 2829, 543, 7262, 593, 513, 2445, 22999, 2486, 676, 519, 21340, 4341, 267, 607, 3379, 547, 835, 540, 269, 10439, 1944, 519, 1004, 281, 1367, 1143, 5288, 2445, 13659, 538, 1577, 721, 1631, 17192, 4583, 2367, 14646, 21514, 529, 23058, 320, 2572, 713, 1557, 13187, 602, 519, 16957, 27757, 540, 513, 269, 634, 2078, 1063, 519, 2686, 25102, 27689, 540, 1367, 1143, 543, 2445, 643, 268, 568, 332, 543, 7209, 1004, 538, 2445, 22999, 4529, 267, 3379, 547, 1004, 538, 269, 769, 2881, 330, 880, 2486, 1920, 6763, 693, 519, 4099, 540, 1272, 1367, 1143, 543, 2445, 13659, 2687, 547, 11876, 30835, 27827, 1367, 1143, 5288, 2445, 13659, 1557, 1367, 1143, 543, 563, 23149, 2065, 543, 2445, 643, 2065, 2686, 24970, 1027, 550, 4632, 736, 2829, 723, 20639, 2362, 593, 2445, 13659, 543, 2785, 1143, 3379, 547, 524, 14072, 553, 2103, 538, 519, 3594, 593, 2247, 267, 1582, 267, 543, 7553, 267, 476, 15647, 268, 1960, 269, 12344, 519, 1034, 1271, 10155, 540, 2686, 3017, 538, 1514, 7180, 267, 2066, 519, 3309, 4529, 540, 519, 1158, 267, 568, 519, 3448, 8561, 593, 269, 10572, 1143, 610, 2445, 13659, 538, 2486, 1557, 14646, 4253, 833, 781, 24575, 540, 1367, 1143, 5288, 782, 519, 7168, 9640, 676, 524, 768, 659, 544, 764, 14390, 344, 910, 1367, 1143, 5288, 563, 23149, 1143, 267, 2445, 13659, 267, 543, 8404, 7819, 2486, 4025, 513, 1164, 1871, 593, 1367, 1143, 267, 610, 2418, 602, 11168, 1582, 516, 18910, 543, 7115, 269, 8835, 1260, 281, 519, 1483, 2528, 2112, 281, 1367, 1143, 5288, 2445, 13659, 1299, 875, 3915, 522, 262, 556, 11035, 3893, 621, 782, 4636, 630, 7818, 14983, 4391, 280, 276, 4281, 280, 2567, 1743, 12908, 731, 900, 619, 24849, 267, 2848, 1597, 795, 19128, 1777, 563, 8197, 267, 519, 1557, 1582, 3146, 18910, 3788, 519, 1034, 11855, 540, 476, 950, 544, 2478, 10404, 3278, 8471, 1143, 543, 2445, 13659, 607, 1949, 540, 269, 11778, 476, 272, 910, 476, 1789, 1367, 1143, 2445, 13659, 1557, 2852, 1957, 4081, 3028, 1367, 1143, 5288, 2445, 13659, 281, 1281, 519, 1367, 781, 1272, 4866, 547, 1864, 29932, 1281, 269, 634, 17710, 540, 713, 2486, 798, 711, 11863, 1022, 1367, 547, 1589, 11884, 782, 1590, 29884, 2933, 547, 519, 1533, 2445, 13659, 267, 513, 2106, 28219, 4967, 267, 1797, 519, 1547, 5131, 1557, 281, 2123, 8086, 1107, 24349, 543, 705, 13092, 1608, 323, 593, 519, 7516, 540, 1367, 1143, 5288, 2445, 13659, 543, 1209, 23540, 269, 0, 763, 17860, 2367, 630, 4572, 276, 264, 568, 513, 6648, 676, 512, 521, 1714, 3999, 519, 6648, 568, 6444, 547, 581, 7255, 1034, 609, 2022, 8996, 2112, 1775, 21570, 896, 519, 14097, 540, 17930, 14792, 269, 512, 338, 1714, 3999, 781, 519, 17860, 2367, 568, 513, 12316, 4062, 540, 6965, 602, 24151, 519, 2022, 1158, 2112, 1775, 18410, 527, 613, 626, 1492, 2022, 21351, 2486, 729, 835, 540, 27945, 1145, 543, 10072, 269, 1879, 512, 521, 1714, 3999, 5747, 267, 5206, 29122, 4556, 26919, 267, 2488, 5310, 519, 1034, 561, 16112, 2079, 540, 1714, 3999, 781, 1505, 13220, 540, 519, 17860, 2367, 267, 12908, 2632, 542, 267, 519, 2648, 563, 763, 17860, 2367, 568, 513, 1151, 559, 13228, 344, 676, 835, 540, 519, 17860, 2367, 581, 342, 9430, 741, 2603, 538, 2669, 781, 10806, 689, 799, 789, 3112, 3444, 547, 2669, 781, 824, 10806, 1317, 540, 5289, 791, 582, 775, 269, 634, 17860, 2367, 3370, 538, 476, 4572, 276, 267, 568, 1419, 11855, 607, 1373, 606, 16289, 720, 547, 1714, 3999, 781, 26832, 960, 267, 519, 3653, 2244, 267, 585, 1312, 9954, 2854, 14311, 2022, 1158, 2112, 476, 272, 267, 31721, 1472, 1010, 10982, 599, 543, 771, 650, 4288, 618, 3823, 519, 22930, 543, 3432, 344, 15817, 540, 3909, 4126, 543, 2648, 269, 634, 17860, 2367, 781, 17418, 547, 2322, 2093, 883, 2962, 267, 547, 2769, 606, 3617, 3929, 3210, 267, 547, 2769, 2168, 2648, 267, 568, 26518, 538, 7766, 588, 11961, 553, 519, 705, 9285, 18459, 781, 11755, 5267, 267, 1586, 267, 602, 621, 568, 513, 5289, 4731, 320, 1047, 519, 17860, 2367, 7985, 563, 763, 17860, 2367, 512, 338, 1714, 3999, 568, 835, 540, 519, 18544, 267, 835, 540, 519, 1390, 1390, 338, 540, 6965, 607, 513, 1762, 7911, 267, 646, 729, 6273, 676, 1196, 1189, 3514, 345, 23878, 1412, 338, 6299, 2967, 344, 520, 540, 522, 3405, 737, 327, 599, 344, 600, 2073, 513, 8144, 540, 519, 6965, 540, 522, 3405, 737, 327, 599, 344, 600, 2073, 543, 8399, 539, 547, 2328, 6965, 646, 5156, 910, 693, 519, 942, 910, 729, 1360, 1244, 7675, 543, 7938, 20564, 547, 581, 1224, 676, 1866, 269, 901, 3992, 6227, 512, 338, 1714, 3999, 781, 1412, 1492, 17860, 2367, 262, 1224, 513, 5758, 543, 1451, 547, 5659, 835, 540, 713, 2413, 626, 10564, 781, 1034, 11972, 4773, 1287, 1491, 269, 4595, 519, 8313, 540, 519, 6648, 538, 476, 4572, 276, 267, 1454, 540, 519, 9880, 3823, 519, 17860, 2367, 814, 2847, 9407, 1472, 512, 521, 1714, 3999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20728, 346, 543, 7684, 2568, 9681, 2330, 8618, 20728, 346, 543, 7684, 4792, 9681, 2330, 5780, 20728, 346, 543, 7684, 4200, 9681, 30607, 8827, 4433, 17107, 4131, 519, 1297, 581, 3230, 343, 269, 2330, 4595, 621, 3762, 513, 14230, 540, 3230, 273, 2330, 950, 5258, 676, 3230, 274, 267, 275, 267, 276, 267, 277, 267, 2330, 649, 917, 3230, 343, 268, 273, 2330, 568, 513, 2789, 540, 3230, 274, 267, 275, 267, 276, 267, 1422, 3667, 346, 543, 7684, 277, 269, 2330, 901, 1797, 3230, 343, 268, 273, 2330, 568, 513, 2789, 540, 3230, 331, 9492, 263, 274, 267, 275, 267, 276, 267, 277, 14638, 799, 568, 3230, 2568, 269, 2330, 4475, 267, 3230, 343, 268, 273, 2330, 1590, 581, 513, 2789, 540, 3230, 2568, 269, 2330, 634, 1985, 1297, 971, 602, 713, 4386, 568, 950, 3230, 343, 268, 273, 815, 476, 2568, 1422, 574, 18680, 1535, 815, 476, 7830, 1547, 9681, 13295, 267, 519, 2626, 568, 667, 780, 1626, 780, 10376, 540, 519, 9704, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 543, 476, 280, 568, 1031, 1152, 2899, 547, 1118, 1079, 2947, 18251, 2338, 865, 602, 789, 723, 519, 4102, 2009, 2040, 269, 6904, 540, 519, 1739, 1223, 581, 835, 540, 519, 2338, 2496, 2330, 278, 4792, 4029, 9681, 2330, 279, 6858, 2190, 9681, 2330, 9262, 275, 4029, 9681, 2330, 280, 7830, 2412, 9681, 2330, 9032, 275, 6734, 9681, 30607, 8827, 4433, 17107, 2414, 4020, 1079, 2947, 7857, 2338, 267, 1101, 9704, 540, 519, 2338, 689, 519, 2451, 1590, 581, 607, 1390, 607, 2009, 269, 4475, 267, 519, 2451, 2865, 30694, 1297, 1590, 581, 2901, 540, 519, 6574, 1079, 2338, 269, 901, 1797, 519, 1101, 7857, 1590, 581, 2901, 540, 3230, 280, 267, 279, 267, 2330, 519, 2034, 7857, 1590, 581, 2901, 540, 3230, 278, 267, 277, 267, 2330, 519, 3791, 7857, 1590, 581, 2901, 540, 3230, 276, 267, 275, 267, 2330, 519, 8772, 7857, 1590, 10874, 2901, 540, 3230, 274, 267, 273, 2330, 543, 519, 2063, 7857, 1590, 581, 2901, 540, 3230, 272, 267, 271, 269, 9681, 763, 1152, 540, 519, 2016, 2338, 602, 14183, 713, 568, 3230, 9262, 275, 4029, 269, 9681, 13295, 267, 519, 2626, 568, 595, 780, 1704, 780, 288, 4009, 609, 606, 8870, 2427, 3259, 568, 2759, 883, 476, 1015, 10945, 267, 782, 540, 799, 723, 8870, 2427, 3259, 543, 693, 2547, 476, 279, 540, 799, 723, 1858, 476, 272, 269, 1548, 568, 519, 10545, 2009, 1871, 540, 519, 3259, 540, 519, 2427, 540, 519, 3312, 4009, 2496, 2330, 274, 9681, 2330, 275, 9681, 2330, 276, 9681, 2330, 277, 9681, 2330, 278, 9681, 30607, 8827, 4433, 17107, 7712, 782, 519, 3230, 1015, 2330, 10945, 723, 8870, 2427, 3259, 267, 789, 1142, 1590, 723, 513, 2427, 3259, 3152, 982, 610, 3160, 887, 3230, 272, 269, 2330, 901, 1797, 519, 2698, 1858, 1590, 581, 936, 3230, 1015, 24206, 476, 272, 815, 476, 1015, 269, 2330, 4475, 267, 519, 4009, 666, 1405, 723, 513, 2427, 3259, 1447, 982, 610, 3160, 547, 3230, 274, 2330, 610, 3116, 621, 1131, 723, 606, 1858, 1447, 982, 3230, 280, 269, 9681, 2171, 666, 1118, 513, 12122, 609, 2427, 3259, 3230, 275, 2330, 2705, 609, 519, 1739, 12122, 780, 13295, 267, 519, 2626, 568, 645, 780, 1240, 780, 1432, 568, 519, 10545, 2318, 8870, 602, 568, 9444, 6305, 6862, 4009, 543, 602, 814, 1100, 6305, 3815, 1447, 982, 476, 2004, 2496, 2330, 24374, 278, 9681, 2330, 27123, 274, 9681, 2330, 27123, 278, 9681, 2330, 27123, 280, 9681, 2330, 27183, 280, 9681, 30607, 8827, 4433, 17107, 7712, 938, 1297, 3884, 1405, 6305, 267, 621, 1590, 581, 519, 1587, 540, 693, 2547, 3230, 273, 2330, 2338, 602, 5749, 1405, 3230, 272, 269, 2330, 5047, 267, 891, 2188, 1590, 711, 723, 6305, 2188, 1447, 982, 3230, 2004, 267, 2330, 865, 938, 1297, 1590, 581, 519, 1587, 540, 22136, 3152, 982, 3230, 2004, 269, 2330, 4746, 267, 938, 1297, 568, 711, 513, 4009, 267, 865, 621, 1590, 581, 519, 1587, 540, 1253, 842, 22136, 780, 1607, 1797, 938, 1297, 568, 519, 1587, 540, 3982, 22136, 3152, 982, 3230, 2004, 269, 2330, 634, 10545, 22136, 3152, 982, 3230, 2004, 2330, 616, 3230, 7871, 2330, 543, 3230, 6795, 267, 2330, 865, 938, 1297, 568, 3230, 7871, 24206, 476, 6795, 815, 476, 24374, 278, 269, 9681, 13295, 267, 938, 2626, 568, 589, 780, 866, 780, 1103, 513, 20220, 540, 2699, 267, 3039, 267, 543, 4544, 27371, 267, 782, 855, 476, 277, 616, 2699, 27371, 267, 782, 855, 476, 279, 616, 3039, 267, 543, 782, 855, 476, 275, 616, 4544, 269, 1215, 1082, 27371, 616, 538, 519, 20220, 2496, 2330, 277, 9681, 2330, 279, 9681, 2330, 280, 9681, 2330, 1015, 9681, 2330, 1321, 9681, 30607, 8827, 4433, 17107, 4131, 3230, 337, 267, 326, 14720, 2330, 581, 519, 1297, 540, 2699, 27371, 267, 3039, 27371, 267, 543, 4544, 27371, 6606, 269, 1284, 1287, 917, 1269, 337, 266, 326, 17070, 910, 337, 284, 277, 267, 2330, 337, 266, 326, 17070, 3766, 815, 476, 279, 267, 2330, 337, 266, 326, 17070, 1532, 815, 476, 275, 259, 676, 519, 6898, 2016, 269, 17006, 891, 4834, 11729, 3230, 274, 16868, 266, 326, 17070, 264, 910, 263, 337, 266, 326, 17070, 264, 815, 476, 1240, 269, 2330, 901, 1131, 1611, 3230, 273, 16868, 266, 326, 17070, 264, 815, 476, 1240, 267, 2330, 865, 3230, 337, 266, 326, 17070, 815, 476, 280, 269, 2330, 4475, 267, 519, 2040, 540, 782, 540, 519, 27371, 568, 3230, 280, 269, 9681, 11997, 267, 519, 2040, 568, 595, 780, 736, 780, 1432, 568, 519, 2953, 19280, 540, 519, 1614, 2338, 6695, 2765, 346, 276, 2410, 866, 6525, 267, 6695, 2765, 346, 278, 2410, 2641, 6525, 267, 543, 6695, 2765, 346, 280, 2410, 2537, 6525, 267, 538, 2810, 1931, 2496, 11377, 13320, 346, 280, 2410, 2537, 348, 2999, 1422, 13320, 346, 278, 2410, 2641, 348, 2999, 1422, 13320, 346, 276, 2410, 866, 15732, 11377, 13320, 346, 276, 2410, 866, 348, 2999, 1422, 13320, 346, 278, 2410, 2641, 348, 2999, 1422, 13320, 346, 280, 2410, 2537, 15732, 11377, 13320, 346, 280, 2410, 2537, 348, 2999, 1422, 13320, 346, 276, 2410, 866, 348, 2999, 1422, 13320, 346, 278, 2410, 2641, 15732, 11377, 13320, 346, 276, 2410, 866, 348, 2999, 1422, 13320, 346, 280, 2410, 2537, 348, 2999, 1422, 13320, 346, 278, 2410, 2641, 15732, 11377, 13320, 346, 278, 2410, 2641, 348, 2999, 1422, 13320, 346, 276, 2410, 866, 348, 2999, 1422, 13320, 346, 280, 2410, 2537, 15732, 30607, 8827, 4433, 17107, 2171, 666, 1376, 609, 3230, 866, 2999, 476, 2641, 2999, 476, 2537, 269, 9681, 10190, 267, 6695, 13320, 346, 272, 2410, 866, 348, 3436, 1422, 13320, 346, 272, 2410, 2641, 348, 3436, 1422, 13320, 346, 272, 2410, 2537, 6525, 2094, 649, 1491, 519, 9611, 878, 565, 540, 2318, 2338, 780, 10190, 267, 14921, 676, 519, 2942, 3586, 3230, 268, 1691, 2330, 11729, 3230, 10559, 13320, 346, 1691, 2410, 866, 348, 2999, 28363, 13320, 346, 1691, 2410, 2641, 348, 2999, 28363, 13320, 346, 1691, 2410, 2537, 6525, 2094, 602, 17176, 519, 4287, 540, 519, 16526, 780, 29002, 835, 547, 1142, 540, 873, 1287, 11729, 6695, 13320, 346, 276, 2410, 866, 348, 2999, 1422, 13320, 346, 278, 2410, 2641, 348, 2999, 1422, 13320, 346, 280, 2410, 2537, 348, 1547, 9681, 13295, 267, 519, 2626, 568, 645, 780, 2641, 780, 11321, 5055, 814, 513, 1804, 3043, 13306, 602, 814, 606, 6316, 540, 476, 1015, 3952, 269, 2701, 849, 814, 2614, 3039, 5862, 547, 3382, 476, 4968, 4009, 3952, 269, 23514, 3821, 3096, 782, 519, 5862, 547, 1711, 513, 3043, 4009, 10704, 593, 1142, 3068, 267, 11303, 676, 513, 3039, 8473, 269, 1548, 568, 519, 1858, 540, 835, 540, 519, 3043, 10945, 267, 538, 4009, 3952, 2496, 2330, 276, 25490, 273, 9681, 2330, 1015, 9681, 2330, 1015, 25490, 273, 9681, 2330, 2004, 9681, 2330, 2004, 25490, 273, 9681, 30607, 8827, 4433, 17107, 763, 2698, 2627, 1858, 568, 3230, 277, 24206, 476, 1015, 24206, 476, 1015, 815, 476, 7785, 269, 2330, 4475, 267, 3230, 7785, 268, 4968, 815, 476, 4968, 2330, 4009, 3952, 5749, 1405, 4988, 269, 901, 1131, 581, 6695, 2765, 346, 4968, 2410, 277, 348, 815, 476, 2004, 2330, 4009, 3952, 829, 3068, 780, 13295, 267, 519, 2626, 568, 667, 780, 2420, 780, 4131, 3230, 305, 2330, 581, 513, 1305, 540, 8370, 3982, 9981, 269, 14520, 540, 519, 2609, 616, 3230, 273, 18079, 3230, 274, 18079, 3230, 275, 18079, 3230, 277, 18079, 3230, 280, 18079, 543, 3230, 1691, 21974, 1548, 568, 519, 1297, 540, 2009, 2418, 540, 519, 11667, 540, 3230, 305, 2330, 2496, 2330, 275, 9681, 2330, 276, 9681, 2330, 277, 9681, 2330, 278, 9681, 2330, 279, 9681, 30607, 8827, 4433, 17107, 288, 1297, 568, 519, 11667, 952, 972, 616, 3230, 275, 2330, 2338, 538, 519, 1305, 602, 616, 3152, 982, 621, 543, 3230, 275, 2330, 2338, 602, 616, 1447, 982, 610, 3160, 547, 621, 269, 8074, 602, 2094, 649, 723, 3982, 9981, 267, 519, 2783, 568, 1631, 602, 519, 11667, 568, 519, 1297, 609, 3230, 275, 2330, 2338, 3152, 982, 621, 543, 3230, 275, 2330, 2338, 1447, 982, 621, 780, 2252, 649, 723, 513, 1297, 3152, 982, 3230, 280, 2330, 1287, 621, 666, 1405, 581, 519, 11667, 607, 972, 568, 693, 2547, 3230, 276, 2330, 2338, 1447, 982, 621, 780, 2252, 649, 723, 513, 1297, 1447, 982, 3230, 274, 2330, 1287, 621, 666, 1405, 581, 519, 11667, 607, 972, 568, 693, 2547, 3230, 276, 2330, 2338, 3152, 982, 621, 780, 9336, 1297, 689, 3230, 274, 2330, 547, 3230, 280, 2330, 666, 581, 2901, 5116, 610, 723, 2338, 5116, 1472, 621, 971, 602, 972, 616, 3230, 275, 2330, 2338, 3152, 982, 621, 543, 3230, 275, 2330, 2338, 1447, 982, 621, 269, 4475, 267, 789, 666, 782, 581, 1199, 2103, 269, 901, 2306, 721, 723, 3230, 278, 2330, 1199, 2103, 780, 13295, 267, 519, 2626, 568, 667, 780, 2537, 780, 2304, 31164, 6906, 543, 513, 2834, 15279, 6782, 723, 3160, 829, 12281, 269, 1403, 519, 6906, 781, 1858, 568, 476, 275, 267, 1018, 568, 519, 1858, 540, 519, 15279, 6782, 2496, 2330, 275, 9681, 2330, 276, 9681, 2330, 277, 9681, 2330, 275, 25490, 274, 9681, 2330, 277, 25490, 274, 9681, 30607, 8827, 4433, 17107, 4131, 519, 2427, 3259, 540, 519, 6906, 581, 3230, 338, 269, 2330, 901, 1797, 519, 15943, 568, 3230, 274, 338, 269, 2330, 4475, 267, 519, 2427, 3259, 585, 519, 15279, 6782, 568, 6695, 2765, 346, 274, 338, 2410, 277, 348, 815, 1422, 2765, 521, 273, 269, 9681, 288, 15279, 6782, 666, 581, 1500, 540, 3230, 277, 2330, 31164, 12730, 609, 2427, 3259, 6695, 2765, 2715, 338, 2410, 273, 6525, 607, 3254, 1657, 269, 3962, 6906, 568, 519, 3312, 6906, 26987, 1524, 676, 6695, 2765, 476, 1321, 267, 2330, 865, 519, 1858, 568, 26987, 1524, 676, 3230, 7268, 2765, 476, 1321, 8203, 273, 815, 1422, 2765, 476, 1691, 1547, 2330, 4475, 267, 519, 1858, 540, 1142, 540, 891, 12730, 568, 3230, 275, 1422, 10383, 1422, 2765, 476, 1691, 815, 476, 272, 269, 2330, 4595, 972, 616, 3230, 277, 2330, 540, 873, 267, 519, 1858, 568, 3230, 277, 24206, 476, 272, 815, 476, 277, 269, 9681, 13295, 267, 519, 2626, 568, 595, 780, 2190, 780, 288, 5858, 540, 8953, 476, 273, 568, 2759, 883, 2185, 21412, 9095, 338, 269, 634, 2185, 9095, 338, 616, 8678, 547, 1106, 519, 5182, 4137, 3254, 269, 1548, 568, 519, 5223, 540, 519, 1858, 540, 519, 5182, 4137, 547, 519, 1858, 540, 519, 3312, 5858, 2496, 11377, 13320, 346, 275, 10559, 7032, 7346, 7032, 15732, 11377, 13320, 346, 272, 4153, 7032, 9681, 11377, 13320, 3189, 6912, 273, 7346, 7032, 15732, 11377, 13320, 3189, 7032, 268, 272, 7346, 7032, 15732, 11377, 13320, 346, 274, 4153, 7032, 9681, 30607, 8827, 4433, 17107, 763, 2698, 1858, 540, 519, 5858, 568, 6695, 7032, 1422, 10383, 630, 273, 8203, 273, 815, 476, 275, 19570, 269, 9681, 3086, 267, 547, 1265, 519, 1858, 540, 519, 5182, 267, 649, 666, 1265, 519, 2698, 1858, 540, 1312, 5546, 5916, 269, 1677, 798, 713, 267, 649, 8237, 519, 607, 3254, 1657, 269, 3973, 267, 649, 30337, 519, 851, 1431, 607, 2944, 2630, 780, 1607, 2306, 513, 4009, 540, 2427, 3259, 3230, 275, 267, 2330, 865, 922, 1858, 568, 3230, 275, 24206, 476, 275, 815, 476, 1626, 269, 2330, 3973, 267, 649, 1491, 856, 519, 1858, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16000, 264, 543, 711, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16000, 16000, 2187, 3546, 6843, 815, 681, 6630, 872, 11519, 3847, 273, 1042, 27316, 994, 2018, 6843, 16000, 815, 681, 6630, 872, 11519, 24525, 27316, 16000, 267, 1883, 267, 1871, 994, 1038, 3116, 912, 2018, 1948, 13127, 28187, 31563, 26266, 355, 420, 488, 480, 30536, 15159, 419, 374, 351, 420, 487, 366, 8147, 20721, 489, 420, 377, 361, 28996, 9463, 367, 420, 488, 480, 30536, 8147, 25913, 28032, 379, 14035, 482, 419, 494, 484, 454, 2018, 952, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16000, 2187, 3546, 6843, 815, 681, 6630, 872, 11519, 8527, 622, 318, 2431, 27316, 994, 2018, 1948, 13127, 506, 357, 21550, 495, 18021, 499, 8147, 25203, 368, 26406, 354, 10254, 510, 30522, 353, 12486, 5236, 376, 486, 2431, 20992, 333, 1638, 8147, 2451, 21251, 20992, 419, 374, 351, 420, 487, 366, 8147, 2451, 417, 379, 483, 419, 482, 370, 18263, 509, 20992, 333, 1638, 24724, 454, 2018, 952, 6843, 16192, 568, 7183, 912, 3546, 952, 6843, 269, 4486, 2652, 1883, 912, 7386, 1871, 314, 271, 316, 815, 6843, 27841, 454, 7386, 2132, 7183, 454, 3546, 3116, 912, 7386, 2132, 6843, 454, 2018, 1948, 476, 9463, 367, 420, 488, 480, 30536, 15159, 273, 268, 420, 488, 480, 30536, 8147, 13127, 364, 484, 10429, 370, 9463, 502, 20992, 419, 374, 351, 420, 487, 366, 454, 2018, 952, 711, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16192, 264, 543, 711, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16192, 16000, 2187, 3546, 6843, 815, 681, 6630, 872, 11519, 2431, 273, 1042, 27316, 994, 2018, 952, 6843, 269, 4486, 2652, 1883, 912, 3546, 1871, 314, 271, 316, 815, 6843, 27841, 454, 3546, 10917, 815, 681, 6630, 872, 11519, 2381, 17045, 27316, 16192, 994, 3546, 6843, 269, 4486, 815, 10917, 269, 4486, 454, 3546, 6843, 27841, 815, 10917, 27841, 454, 3546, 6843, 16192, 815, 681, 6630, 872, 11519, 23437, 2381, 27316, 16192, 994, 2018, 3116, 912, 3546, 6843, 16192, 815, 681, 6630, 872, 11519, 24525, 27316, 16192, 267, 1883, 267, 1871, 994, 1038, 2132, 681, 6630, 872, 11519, 25270, 27316, 2020, 825, 7711, 18878, 24709, 454, 825, 1219, 9041, 3847, 273, 1042, 27316, 2187, 1038, 8173, 1038, 13127, 479, 485, 18777, 378, 26266, 355, 31878, 14756, 497, 30536, 20992, 421, 375, 495, 420, 487, 366, 8147, 16533, 484, 27161, 7511, 26266, 355, 31878, 14756, 497, 30536, 9463, 502, 20992, 419, 374, 351, 420, 487, 366, 454, 1038, 2433, 12407, 6843, 281, 6843, 26233, 375, 20992, 419, 374, 351, 420, 487, 366, 454, 1038, 2433, 8873, 281, 2715, 11966, 348, 476, 28786, 418, 505, 379, 27161, 12916, 491, 419, 377, 362, 7511, 14756, 497, 30536, 454, 1038, 8173, 1038, 681, 6630, 872, 11519, 1873, 3558, 318, 10233, 27316, 994, 1038, 952, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16192, 16000, 2567, 476, 1948, 6843, 7511, 9463, 367, 11858, 358, 31878, 15159, 419, 374, 351, 420, 487, 366, 420, 488, 480, 30536, 454, 2018, 1948, 476, 10524, 492, 9463, 367, 11858, 358, 31878, 418, 488, 488, 419, 374, 351, 420, 487, 366, 420, 488, 480, 30536, 22390, 509, 13213, 485, 23521, 354, 454, 2018, 6843, 16192, 815, 681, 6630, 872, 11519, 8527, 622, 318, 2431, 27316, 16192, 994, 2018, 6843, 815, 681, 6630, 872, 11519, 8527, 622, 318, 3847, 27316, 994, 2018, 681, 6630, 872, 11519, 1873, 3558, 318, 10233, 27316, 994, 1038, 2132, 6843, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 9041, 2431, 273, 1042, 27316, 2187, 1038, 8173, 1038, 13127, 479, 485, 18777, 378, 9463, 367, 31878, 14756, 497, 30536, 20992, 421, 375, 495, 420, 487, 366, 8147, 27161, 16000, 20992, 421, 375, 495, 420, 487, 366, 8147, 16533, 484, 27161, 7511, 9463, 367, 31878, 14756, 497, 30536, 9463, 502, 20992, 419, 374, 351, 420, 487, 366, 454, 1038, 2433, 12407, 6843, 281, 6843, 26233, 375, 20992, 419, 374, 351, 420, 487, 366, 454, 1038, 2433, 8873, 281, 2715, 11966, 348, 476, 28786, 418, 505, 379, 27161, 12916, 491, 419, 377, 362, 7511, 14756, 497, 30536, 454, 1038, 8173, 1038, 681, 6630, 872, 11519, 1873, 3558, 318, 10233, 27316, 994, 1038, 952, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16000, 16000, 2567, 476, 1948, 13127, 371, 355, 420, 488, 480, 30536, 15159, 274, 268, 420, 488, 480, 30536, 454, 2018, 1948, 476, 10524, 492, 26266, 355, 420, 488, 480, 30536, 22390, 509, 22047, 420, 488, 480, 30536, 418, 488, 488, 9463, 367, 420, 488, 480, 30536, 9463, 502, 20992, 419, 374, 351, 420, 487, 366, 454, 2018, 6843, 815, 681, 6630, 872, 11519, 8527, 622, 318, 2431, 27316, 994, 2018, 681, 6630, 872, 11519, 1873, 3558, 318, 10233, 27316, 994, 1038, 2132, 6843, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 9041, 25270, 27316, 2187, 1038, 8173, 1038, 13127, 364, 484, 14756, 497, 30536, 418, 479, 351, 14035, 491, 23946, 367, 16141, 350, 454, 1038, 2433, 12407, 6843, 912, 1038, 2433, 8873, 281, 2715, 11966, 348, 476, 28786, 418, 505, 379, 27161, 12916, 491, 419, 377, 362, 7511, 14756, 497, 30536, 454, 1038, 8173, 1038, 952, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16192, 2187, 2018, 6843, 815, 681, 6630, 872, 11519, 8527, 622, 318, 3847, 27316, 994, 1038, 952, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16000, 264, 543, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16000, 16000, 2187, 2018, 6843, 815, 681, 6630, 872, 11519, 8527, 622, 318, 2431, 27316, 994, 1038, 952, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16000, 264, 543, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16192, 2187, 2018, 681, 6630, 872, 11519, 1873, 3558, 318, 10233, 27316, 994, 1038, 2132, 6843, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 9041, 3553, 27316, 267, 1883, 267, 1871, 2187, 1038, 952, 6843, 568, 7183, 912, 2018, 2132, 19219, 31107, 267, 1871, 267, 6936, 994, 1038, 952, 6843, 269, 4486, 2999, 1883, 912, 2018, 6843, 16192, 815, 681, 6630, 872, 11519, 3553, 27316, 16192, 267, 1883, 267, 1871, 994, 1038, 8640, 6843, 269, 4486, 3436, 1883, 912, 2018, 6843, 16000, 815, 681, 6630, 872, 11519, 3553, 27316, 16000, 267, 1883, 267, 1871, 994, 1038, 3116, 912, 2018, 6843, 27841, 815, 1871, 454, 2018, 2132, 6843, 454, 1038, 952, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16192, 264, 543, 711, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16000, 2187, 2018, 6843, 815, 681, 6630, 872, 11519, 8527, 622, 318, 3847, 27316, 994, 1038, 952, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16000, 264, 543, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16000, 16000, 2187, 2018, 6843, 815, 681, 6630, 872, 11519, 8527, 622, 318, 2431, 27316, 994, 1038, 952, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16192, 264, 543, 681, 6630, 872, 11519, 529, 318, 1042, 27316, 16000, 2187, 2018, 681, 6630, 872, 11519, 1873, 3558, 318, 10233, 27316, 994, 1038, 2132, 6843, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 9041, 1873, 3558, 318, 10233, 27316, 281, 19219, 2187, 1038, 8173, 1038, 17276, 498, 373, 9463, 502, 30903, 506, 420, 487, 366, 12486, 13826, 272, 281, 6843, 281, 1042, 267, 2451, 281, 18872, 267, 1318, 281, 3109, 269, 476, 2013, 273, 281, 6843, 281, 18872, 267, 2451, 281, 1042, 267, 1318, 281, 2699, 1547, 32517, 507, 13644, 479, 21550, 495, 7511, 421, 375, 495, 420, 487, 366, 23946, 367, 16141, 350, 454, 1038, 2433, 12407, 6843, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 6843, 18994, 318, 1042, 815, 711, 6843, 18994, 318, 1042, 454, 1038, 6843, 16000, 18994, 318, 1042, 815, 711, 6843, 16000, 18994, 318, 1042, 454, 1038, 6843, 16192, 18994, 318, 1042, 815, 711, 6843, 16192, 18994, 318, 1042, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 9041, 529, 318, 1042, 27316, 281, 19219, 2187, 1038, 952, 6843, 568, 7183, 912, 2018, 2132, 8771, 454, 1038, 2132, 6843, 18994, 318, 1042, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 9041, 8527, 622, 318, 2431, 27316, 281, 19219, 2187, 1038, 8173, 1038, 476, 9463, 367, 20721, 489, 420, 377, 361, 27818, 421, 350, 374, 28793, 421, 496, 486, 24724, 454, 1038, 2433, 12407, 6843, 912, 1038, 2433, 8873, 281, 2715, 11966, 348, 476, 28786, 418, 505, 379, 27161, 12916, 491, 419, 377, 362, 7511, 14756, 497, 30536, 454, 1038, 8173, 1038, 1007, 27161, 815, 6843, 16000, 454, 1038, 1007, 27161, 18994, 318, 1042, 815, 6843, 18994, 318, 1042, 454, 1038, 6843, 18994, 318, 1042, 815, 6936, 454, 1038, 6843, 16000, 815, 1007, 27161, 16192, 454, 1038, 1007, 27161, 16192, 815, 6843, 454, 1038, 2132, 1007, 27161, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 9041, 8527, 622, 318, 3847, 27316, 281, 19219, 2187, 1038, 8173, 1038, 13127, 371, 355, 20721, 489, 420, 377, 361, 27818, 20881, 484, 28793, 421, 496, 486, 24724, 454, 1038, 2433, 12407, 6843, 912, 1038, 2433, 8873, 281, 2715, 11966, 348, 476, 28786, 418, 505, 379, 27161, 12916, 491, 419, 377, 362, 7511, 14756, 497, 30536, 454, 1038, 8173, 1038, 1007, 27161, 815, 6843, 16192, 454, 1038, 1007, 27161, 18994, 318, 1042, 815, 6843, 18994, 318, 1042, 454, 1038, 6843, 18994, 318, 1042, 815, 6936, 454, 1038, 6843, 16192, 815, 1007, 27161, 16000, 454, 1038, 1007, 27161, 16000, 815, 6843, 454, 1038, 2132, 1007, 27161, 7531, 3698, 568, 318, 25270, 6025, 872, 281, 681, 6630, 872, 2187, 825, 8173, 825, 17276, 369, 489, 13644, 499, 419, 374, 351, 421, 375, 495, 21550, 495, 15159, 12571, 355, 12571, 486, 25622, 23946, 370, 4970, 498, 23946, 367, 16141, 350, 454, 825, 2433, 12407, 3529, 912, 825, 2433, 8873, 281, 536, 944, 454, 825, 8173, 825, 6843, 815, 3529, 11519, 10174, 454, 825, 1267, 815, 2715, 257, 19417, 9899, 476, 271, 267, 834, 529, 318, 25270, 9899, 6936, 8679, 825, 9041, 529, 318, 25270, 27316, 267, 8771, 267, 476, 271, 267, 1267, 994, 825, 2132, 1267, 14277, 529, 318, 25270, 257, 6540, 454, 3698, 9041, 529, 318, 25270, 27316, 267, 568, 318, 1042, 267, 4463, 267, 1267, 2187, 825, 952, 6843, 568, 7183, 912, 1038, 952, 1267, 14277, 19417, 19312, 2652, 476, 271, 912, 2018, 1267, 14277, 19417, 19312, 815, 4463, 454, 1038, 3116, 912, 2018, 1267, 14277, 529, 318, 25270, 19312, 815, 1267, 14277, 19417, 19312, 2652, 4463, 454, 1038, 2132, 454, 825, 952, 6843, 18994, 318, 1042, 912, 1038, 952, 568, 318, 1042, 912, 2018, 1267, 14277, 529, 318, 25270, 19312, 815, 8771, 454, 2018, 2132, 454, 825, 3116, 912, 1038, 4463, 6834, 476, 272, 454, 825, 9041, 529, 318, 25270, 27316, 16000, 267, 6843, 18994, 318, 1042, 267, 4463, 267, 1267, 994, 825, 9041, 529, 318, 25270, 27316, 16192, 267, 6843, 18994, 318, 1042, 267, 4463, 267, 1267, 9239, 3698, 2699, 318, 29173, 6025, 872, 2187, 825, 8173, 825, 476, 14756, 509, 18777, 350, 419, 374, 351, 421, 375, 495, 21550, 495, 18809, 419, 374, 351, 420, 487, 366, 420, 488, 480, 30536, 19867, 478, 22287, 510, 7511, 30006, 498, 28032, 489, 454, 825, 2433, 12407, 3529, 912, 825, 2433, 8873, 281, 9598, 454, 825, 8173, 825, 1267, 815, 2715, 257, 1042, 9899, 476, 271, 267, 834, 333, 3941, 9899, 476, 271, 8679, 825, 9041, 1042, 318, 29173, 6025, 872, 11519, 10174, 267, 1267, 994, 825, 1267, 14277, 1042, 318, 29173, 19312, 815, 1267, 14277, 1042, 19312, 1315, 1267, 14277, 333, 3941, 31116, 825, 2132, 1267, 7531, 3698, 9041, 1042, 318, 29173, 27316, 267, 1267, 2187, 825, 952, 6843, 568, 7183, 912, 1038, 2132, 454, 825, 952, 6843, 18994, 318, 1042, 912, 1038, 1267, 14277, 1042, 19312, 6834, 476, 272, 454, 825, 1267, 14277, 333, 3941, 19312, 6834, 476, 272, 454, 825, 9041, 1042, 318, 29173, 27316, 16000, 267, 1267, 994, 825, 9041, 1042, 318, 29173, 27316, 16192, 267, 1267, 9239, 258, 815, 13117, 4499, 1449, 815, 13117, 4499, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 689, 3351, 1104, 1118, 318, 12690, 24512, 454, 825, 689, 4990, 1104, 568, 5334, 9285, 692, 825, 1293, 815, 476, 1015, 454, 825, 513, 815, 1118, 318, 12690, 24512, 6262, 870, 267, 476, 271, 267, 1293, 2608, 476, 1015, 994, 825, 512, 815, 681, 6630, 872, 4590, 825, 585, 1775, 538, 513, 912, 1038, 512, 15630, 9217, 267, 1775, 2020, 825, 7682, 568, 5334, 9285, 6025, 269, 12399, 15405, 825, 7682, 568, 318, 25270, 6025, 2020, 825, 1820, 3488, 24525, 281, 1412, 1341, 1193 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 1118, 19647, 538, 3347, 610, 3972, 741, 11537, 1317, 540, 519, 7411, 789, 1265, 538, 8236, 1279, 3856, 3853, 269, 1358, 7683, 3343, 13170, 540, 1866, 543, 607, 513, 1267, 267, 891, 21390, 949, 3565, 547, 519, 9552, 540, 3347, 269, 4658, 7092, 689, 22925, 7209, 4524, 2356, 10929, 4965, 543, 4160, 267, 5883, 741, 4664, 676, 3384, 8213, 547, 4568, 267, 824, 2010, 540, 5061, 267, 610, 824, 5418, 553, 9092, 2238, 563, 2304, 13982, 568, 811, 12155, 547, 4965, 267, 4160, 267, 543, 10845, 269, 5637, 519, 13982, 779, 1604, 267, 11976, 543, 6211, 12402, 3565, 547, 741, 8213, 269, 4658, 609, 1360, 4049, 7209, 4713, 616, 811, 2693, 547, 1831, 13982, 338, 269, 5410, 1112, 633, 6878, 2356, 3247, 3119, 543, 6281, 5778, 4513, 267, 2495, 1004, 609, 7209, 4713, 899, 519, 8323, 689, 741, 1928, 563, 31094, 1275, 3004, 1080, 543, 24251, 454, 11754, 2109, 568, 3989, 676, 5640, 607, 968, 320, 18465, 2134, 22181, 4524, 27537, 676, 10770, 946, 540, 5061, 630, 10175, 4568, 264, 5103, 8101, 2800, 543, 8801, 4539, 6100, 28548, 2861, 1039, 11881, 616, 1346, 1759, 2390, 519, 5305, 540, 22006, 538, 519, 2634, 267, 2390, 799, 519, 2039, 540, 17915, 3812, 676, 519, 552, 25045, 7595, 2680, 538, 519, 2634, 2242, 519, 2634, 779, 7525, 7180, 267, 4929, 811, 18687, 585, 2104, 1039, 11881, 269, 29007, 2861, 1039, 11881, 267, 593, 519, 824, 1688, 267, 616, 1346, 602, 616, 711, 5532, 547, 14715, 7180, 607, 1454, 543, 616, 3976, 2219, 547, 581, 5532, 547, 7209, 7592, 282, 621, 568, 713, 1826, 540, 8213, 602, 10905, 513, 7180, 609, 513, 2790, 1533, 543, 519, 7368, 6296, 568, 4061, 2404, 609, 519, 2790, 1533, 563, 288, 1895, 540, 3703, 18837, 16895, 543, 1239, 3744, 21845, 513, 1007, 1804, 6538, 540, 3755, 540, 28400, 5562, 6878, 269, 1677, 20272, 519, 32739, 547, 3075, 946, 267, 789, 3351, 2213, 476, 278, 5626, 7592, 267, 519, 12866, 16748, 7844, 29979, 676, 6764, 6160, 2032, 543, 11576, 566, 5275, 912, 32507, 339, 6291, 568, 513, 1279, 3856, 12402, 547, 1995, 2942, 4664, 971, 607, 8401, 1145, 267, 8082, 267, 4160, 543, 4965, 630, 817, 18620, 21371, 281, 14221, 267, 1582, 1790, 640, 532, 267, 13029, 267, 5905, 344, 267, 18633, 267, 543, 20468, 11850, 15761, 571, 11437, 568, 28955, 538, 856, 4707, 267, 3636, 267, 3742, 267, 7682, 633, 267, 2911, 894, 267, 28292, 3197, 267, 1419, 538, 3406, 540, 14242, 630, 817, 18620, 21371, 281, 3742, 267, 7682, 633, 267, 17615, 267, 25981, 267, 856, 4707, 267, 543, 2911, 894, 11850, 15411, 1145, 547, 1995, 568, 513, 2489, 7071, 585, 1148, 267, 8966, 2093, 267, 543, 19511, 267, 3860, 267, 23349, 267, 543, 2647, 4690, 630, 817, 18620, 21371, 281, 7499, 267, 8049, 267, 19511, 267, 16367, 267, 3312, 267, 543, 2647, 1719, 11850, 13070, 872, 629, 30276, 568, 513, 10155, 540, 14375, 1894, 267, 6353, 676, 5621, 745, 1143, 267, 3972, 267, 16434, 344, 267, 11587, 267, 8296, 543, 24625, 520, 4369, 630, 817, 18620, 21371, 281, 3507, 894, 267, 8483, 1516, 267, 21464, 267, 2186, 267, 25091, 267, 543, 3972, 532, 11850, 8256, 2615, 1190, 1145, 568, 513, 12402, 547, 581, 6896, 543, 4096, 762, 267, 2178, 2914, 2683, 267, 10770, 267, 6325, 267, 543, 3608, 630, 817, 18620, 21371, 281, 3608, 267, 22555, 267, 6325, 267, 3743, 267, 543, 9488, 11850, 19808, 6160, 2032, 568, 3989, 607, 513, 12402, 547, 957, 1510, 7850, 2062, 2288, 339, 3248, 306, 18730, 16418, 532, 568, 3989, 676, 519, 3406, 585, 2833, 543, 4606, 267, 602, 616, 9867, 267, 3209, 267, 1950, 543, 7920, 267, 543, 676, 519, 22026, 547, 1491, 4220, 585, 519, 19160, 540, 971, 2833, 563, 4322, 2188, 616, 711, 19250, 4830, 855, 519, 2783, 1297, 540, 519, 9756, 5119, 568, 1447, 982, 476, 1015, 543, 519, 24352, 565, 1467, 10846, 2360, 616, 711, 4397, 547, 581, 2178, 563, 763, 2164, 540, 519, 2143, 2079, 540, 2413, 1239, 1489, 13148, 519, 8367, 827, 5626, 32739, 547, 8213, 269, 634, 1895, 540, 3755, 540, 28302, 5061, 15320, 689, 519, 1895, 540, 1875, 268, 22852, 585, 715, 267, 744, 267, 589, 267, 595, 267, 6764, 267, 543, 9399, 269, 13507, 1227, 267, 713, 3017, 666, 581, 11609, 607, 5205, 912, 18217, 267, 744, 267, 6764, 267, 543, 9399, 8464, 616, 2362, 585, 3755, 282, 589, 543, 595, 8464, 616, 2539, 585, 3755, 1916, 763, 8367, 827, 2956, 540, 661, 585, 8213, 729, 711, 6462, 676, 713, 10015, 730, 2079, 540, 946, 540, 782, 28302, 5061, 563, 26046, 540, 4616, 540, 1114, 5061, 14384, 7152, 602, 32739, 547, 946, 540, 1114, 5061, 568, 1114, 269, 1280, 782, 28302, 5061, 2516, 540, 741, 3755, 723, 519, 1739, 1455, 3601, 912, 263, 302, 267, 6764, 267, 543, 9399, 8464, 616, 2362, 585, 3755, 543, 595, 6060, 568, 2539, 585, 3755, 1916, 28319, 2747, 540, 715, 267, 661, 267, 543, 589, 8464, 585, 3755, 540, 1114, 5061, 666, 581, 1114, 269, 1280, 1383, 267, 5869, 514, 3755, 723, 3328, 9043, 454, 3602, 553, 585, 700, 16256, 543, 8278, 560, 6470, 630, 1492, 8545, 1373, 513, 865, 10777, 968, 8512, 344, 3075, 14615, 3755, 715, 814, 1100, 1713, 11539, 689, 519, 2551, 1377, 543, 661, 666, 581, 2362, 563, 15703, 7209, 12632, 540, 19408, 7180, 941, 4857, 676, 1585, 3173, 267, 585, 1383, 630, 1103, 5913, 999, 264, 543, 630, 19808, 6160, 1161, 267, 670, 539, 517, 1235, 1040, 15316, 2010, 540, 22925, 7209, 723, 538, 1455, 1970, 595, 563, 25542, 8213, 568, 2404, 609, 2362, 8464, 538, 5778, 339, 6291, 543, 2539, 8464, 538, 3063, 11437, 543, 931, 2615, 1190, 1145, 269, 2290, 7778, 585, 519, 7681, 609, 1164, 5778, 339, 6291, 568, 602, 5691, 5054, 949, 581, 9833, 607, 811, 2922, 543, 6899, 676, 2043, 609, 2539, 1582, 12635, 543, 2799, 2942, 7553, 630, 10177, 1080, 2404, 609, 1164, 5778, 339, 6291, 264, 3379, 547, 1483, 3734, 5054, 269, 6684, 267, 2043, 609, 1970, 3063, 11437, 602, 7287, 1514, 5872, 855, 616, 513, 2091, 547, 3068, 3562, 19904, 5872, 949, 1265, 519, 4316, 585, 2228, 2792, 10694, 563, 2467, 568, 606, 5571, 7521, 827, 519, 2243, 540, 2436, 606, 22925, 7209, 2731, 6818, 269, 634, 13429, 602, 7209, 1522, 581, 547, 16620, 585, 606, 29279, 1268, 267, 945, 568, 538, 991, 540, 14317, 1813, 547, 3075, 543, 4568, 1039, 11881, 267, 666, 723, 1390, 2942, 5222, 689, 922, 5885, 513, 24267, 2626, 547, 513, 26945, 3390, 538, 2243, 269, 1452, 1004, 2196, 519, 1981, 540, 1373, 31002, 607, 588, 580, 5733, 543, 1831, 27235, 8589, 2213, 267, 543, 891, 3765, 9080, 613, 906, 540, 7209, 949, 1287, 1291, 547, 4057, 2790, 267, 2564, 267, 543, 1514, 1072, 2853, 269, 1703, 616, 1079, 5011, 540, 713, 4661, 267, 1142, 609, 1082, 2157, 543, 7648, 269, 2290, 2427, 11099, 602, 972, 616, 1978, 7592, 543, 7516, 540, 7209, 602, 267, 952, 2291, 550, 538, 513, 1268, 267, 2014, 519, 1268, 547, 581, 811, 12155, 547, 3384, 1039, 11881, 2429, 741, 1272, 269, 634, 824, 2427, 13187, 602, 8213, 568, 538, 7998, 267, 607, 538, 875, 519, 2634, 779, 5348, 22663, 4431, 547, 30088, 543, 568, 4061, 711, 4299, 676, 7209, 269, 589, 2101, 4661, 538, 12797, 540, 10747, 543, 2978, 2454, 606, 22925, 7209, 814, 547, 798, 609, 519, 1480, 2702, 547, 1118, 3664, 543, 519, 10206, 540, 1863, 786, 269, 901, 4661, 5267, 1480, 7919, 616, 3222, 540, 741, 3527, 543, 1018, 519, 4539, 540, 741, 1378, 3527, 616, 543, 1082, 3442, 1996, 1978, 1919, 1317, 540, 713, 269, 901, 666, 581, 2938, 538, 602, 1004, 616, 711, 7142, 547, 4235, 23494, 610, 8673, 1169, 1554, 267, 855, 621, 568, 1369, 519, 3914, 540, 741, 1378, 1863, 786, 602, 930, 949, 3442, 547, 798, 865, 269, 4475, 267, 1346, 609, 22925, 14789, 616, 1164, 538, 5778, 339, 6291, 543, 8754, 3442, 547, 4497, 538, 1981, 1512, 19326, 269, 634, 3069, 540, 22925, 14789, 23216, 602, 972, 616, 1079, 2010, 540, 1004, 281, 1981, 2389, 5474, 543, 1981, 8584, 2091, 269, 11485, 2389, 5474, 2972, 2591, 267, 1007, 2833, 543, 1616, 8216, 11815, 2305, 269, 1452, 1004, 2972, 519, 10761, 540, 8594, 543, 3843, 1007, 1919, 269, 2201, 519, 824, 1688, 267, 1981, 8584, 2091, 616, 1346, 945, 616, 676, 2470, 18762, 538, 1018, 789, 798, 543, 519, 2238, 789, 4125, 2933, 538, 269, 898, 568, 519, 7209, 7592, 540, 2043, 602, 9192, 547, 1711, 2901, 513, 1981, 2389, 6033, 610, 1981, 8584, 2091, 1268, 563, 5194, 1271, 6161, 568, 519, 3668, 540, 2963, 5885, 519, 22925, 7209, 6003, 543, 519, 7872, 540, 16663, 269, 2755, 972, 568, 513, 2564, 13618, 4478, 519, 4719, 3334, 540, 8213, 267, 972, 568, 1100, 971, 13618, 5885, 519, 2856, 602, 1808, 7209, 2010, 723, 513, 12402, 2509, 22925, 19326, 269, 769, 1249, 267, 4797, 946, 540, 713, 2165, 538, 519, 9000, 540, 2312, 2963, 1223, 581, 14124, 547, 519, 1004, 945, 3494, 789, 723, 606, 22925, 7209, 563, 3707, 277, 1107, 19863, 324, 853, 2465, 548, 267, 1977, 1514, 18673, 543, 4081, 563, 290, 5055, 8775, 28224, 853, 2465, 548, 630, 9799, 5130, 476, 272, 267, 476, 3707, 277, 264, 568, 513, 1514, 18673, 543, 900, 518, 7978, 7548, 693, 18628, 2160, 267, 1141, 646, 568, 519, 594, 269, 6276, 2372, 650, 523, 7736, 15735, 25760, 267, 9622, 7978, 693, 519, 18628, 23958, 3427, 540, 4065, 267, 543, 12359, 773, 590, 1181, 7905, 538, 519, 4317, 7070, 267, 9622, 7978, 563, 13528, 28861, 646, 729, 519, 10324, 13030, 4960, 27891, 543, 1008, 739, 693, 519, 2160, 540, 4993, 267, 20588, 269, 1261, 849, 6039, 607, 519, 476, 2641, 560, 1008, 739, 540, 12052, 2160, 585, 1079, 1296, 269, 6969, 602, 267, 646, 1185, 1044, 513, 7548, 540, 6530, 693, 1585, 5238, 585, 3592, 476, 2412, 1296, 563, 3891, 568, 1655, 1634, 585, 1010, 960, 593, 8305, 9189, 3463, 543, 922, 3498, 547, 12102, 2875, 4081, 2773, 269, 3571, 4505, 960, 18808, 609, 1382, 593, 519, 1582, 630, 3697, 1582, 268, 13548, 543, 1582, 268, 3530, 3305, 566, 264, 607, 1134, 607, 519, 1909, 540, 1582, 30625, 538, 22925, 19326, 563, 1103, 476, 1001, 271, 267, 646, 5950, 1010, 1433, 267, 1733, 626, 1782, 966, 2526, 10972, 543, 4033, 1849, 1132, 547, 1215, 853, 699, 8040, 18748, 2974, 267, 9034, 2358, 1296, 540, 1382, 593, 8305, 9189, 3463, 543, 519, 896, 704, 18504, 540, 12102, 1053, 538, 2362, 2069, 563, 3891, 19801, 693, 19743, 1090, 5441, 538, 19743, 1090, 267, 11882, 267, 1141, 646, 12236, 513, 645, 6993, 269, 538, 6530, 538, 476, 3422, 278, 563, 4263, 19743, 1090, 5441, 267, 853, 2465, 548, 779, 6612, 585, 2542, 9089, 3366, 547, 606, 1719, 538, 875, 519, 1367, 8188, 519, 1514, 1158, 269, 2991, 1373, 4628, 27153, 538, 519, 6406, 7126, 11873, 543, 519, 2152, 540, 7292, 7862, 267, 2924, 267, 543, 519, 2470, 540, 14882, 607, 513, 1126, 267, 853, 2465, 548, 4646, 513, 7287, 547, 1353, 519, 3584, 538, 513, 3621, 6073, 269, 1261, 729, 2523, 16994, 547, 3605, 741, 2360, 593, 1514, 3347, 543, 2298, 540, 1272, 269, 853, 2465, 548, 729, 6273, 676, 3979, 12677, 1514, 18673, 26366, 996, 18412, 779, 7641, 5920, 7234, 519, 5626, 6286, 540, 519, 476, 3422, 275, 5198, 27632, 1824, 538, 31222, 267, 1715, 3840, 4975, 267, 799, 3366, 547, 3257, 24040, 1382, 269, 853, 2465, 548, 5342, 2038, 8097, 1382, 693, 19743, 1090, 5441, 538, 12214, 6530, 630, 331, 8504, 693, 24040, 24500, 538, 13961, 1868, 324, 8165, 3165, 264, 543, 1514, 6530, 630, 13231, 3539, 875, 3979, 12677, 13172, 1851, 3214, 15387, 6803, 270, 24055, 3961, 1070, 1141, 646, 5249, 896, 519, 30023, 540, 1514, 18673, 267, 25453, 9919, 321, 1638, 320, 563, 1103, 10927, 1153, 267, 646, 6594, 1514, 6530, 267, 15980, 606, 631, 6993, 269, 538, 476, 3422, 280, 543, 513, 1912, 6185, 269, 538, 476, 3192, 272, 693, 11882, 3557, 2160, 267, 609, 513, 5634, 538, 8579, 6530, 269, 3571, 12031, 960, 267, 609, 12200, 9666, 518, 8751, 744, 560, 668, 693, 11882, 3557, 267, 5059, 593, 10182, 6482, 543, 10182, 1689, 563, 9961, 1010, 4081, 4876, 267, 1010, 960, 8593, 883, 1614, 1292, 11890, 540, 1382, 896, 519, 3376, 1641, 1858, 540, 1514, 6530, 281, 8305, 9189, 3463, 267, 1582, 268, 3530, 3305, 566, 267, 543, 22925, 19326, 269, 4014, 5094, 543, 3982, 267, 519, 1614, 3515, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 942, 7531, 3698, 15652, 19906, 267, 1970, 267, 1164, 267, 2721, 12774, 267, 3432, 2187, 825, 1775, 815, 630, 869, 910, 476, 272, 264, 476, 1948, 4994, 540, 4130, 3693, 454, 825, 22141, 815, 2855, 314, 14683, 316, 476, 1948, 22141, 692, 825, 585, 795, 538, 2039, 263, 869, 267, 1164, 2187, 1038, 1948, 1403, 1699, 3693, 568, 4130, 982, 610, 3097, 1038, 1948, 3160, 547, 22141, 3097, 1038, 2721, 12774, 19906, 267, 7857, 284, 329, 267, 7857, 273, 284, 14683, 267, 18593, 318, 10233, 8782, 19009, 3299, 15254, 272, 284, 869, 267, 15254, 273, 284, 14683, 994, 1038, 952, 2855, 14728, 316, 10922, 22141, 912, 2018, 1948, 27261, 4994, 540, 4130, 3693, 3097, 2018, 1775, 815, 1775, 1341, 476, 272, 454, 2018, 2855, 5157, 3910, 2855, 14728, 316, 815, 2855, 14728, 3910, 2855, 5157, 2639, 2018, 2721, 12774, 19906, 267, 7857, 284, 329, 267, 7857, 273, 284, 328, 267, 18593, 318, 10233, 8782, 1042, 3299, 15254, 272, 284, 869, 267, 15254, 273, 284, 14683, 994, 1038, 942, 4732, 2748, 4433, 32497, 994, 825, 2855, 5157, 1341, 476, 272, 3910, 2855, 314, 14683, 316, 815, 2855, 314, 14683, 3910, 2855, 5157, 1341, 476, 272, 2639, 825, 2132, 1775, 1341, 476, 272, 7531, 3698, 2656, 31374, 288, 19906, 267, 1970, 267, 1164, 267, 2721, 12774, 267, 3432, 2187, 825, 952, 7003, 19906, 264, 2652, 476, 272, 912, 1038, 2132, 2855, 454, 825, 952, 1970, 2999, 1164, 912, 1038, 1948, 14039, 568, 15652, 532, 4994, 267, 2855, 314, 335, 316, 568, 1631, 3097, 1038, 1948, 693, 1318, 1747, 3097, 1038, 14039, 815, 15652, 19906, 267, 1970, 267, 1164, 267, 2721, 12774, 267, 3432, 2020, 1038, 1948, 9484, 541, 2299, 4990, 2609, 1354, 3097, 1038, 1948, 15652, 543, 1310, 15652, 3097, 1038, 2656, 31374, 288, 19906, 267, 1970, 267, 14039, 910, 476, 272, 267, 2721, 12774, 267, 3432, 994, 1038, 2656, 31374, 288, 19906, 267, 14039, 1341, 476, 272, 267, 1164, 267, 2721, 12774, 267, 3432, 994, 1038, 2721, 12774, 19906, 9239, 3698, 2656, 5334, 677, 16597, 267, 2721, 12774, 267, 3432, 2187, 825, 2656, 31374, 288, 16597, 267, 476, 271, 267, 7003, 16597, 264, 910, 476, 272, 267, 2721, 12774, 267, 3432, 994, 0, 5228, 1770, 11687, 1104, 4530, 19111, 454, 5228, 1257, 17213, 1104, 7956, 305, 1678, 11764, 3405, 6500, 454, 5228, 562, 2741, 330, 6745, 7505, 1125, 1104, 2366, 4671, 7505, 1125, 454, 5228, 1257, 318, 30112, 1104, 24846, 1125, 5334, 550, 1878, 7531, 5035, 4530, 17806, 305, 1678, 263, 14818, 19111, 17107, 825, 1219, 1305, 10000, 4311, 2187, 1038, 1582, 27904, 3405, 6500, 815, 7956, 305, 1678, 11764, 3405, 6500, 2891, 1263, 1501, 15419, 825, 1219, 1449, 27133, 26748, 4311, 2187, 1038, 1257, 815, 834, 2171, 1185, 513, 19619, 540, 11147, 540, 519, 1292, 20111, 267, 513, 13334, 3381, 609, 8963, 19581, 5653, 5951, 13257, 540, 834, 26444, 25639, 834, 300, 5308, 293, 4953, 338, 267, 513, 8468, 2022, 609, 513, 15059, 540, 519, 31887, 2418, 540, 31446, 5547, 29522, 543, 849, 513, 834, 26444, 25639, 834, 15893, 540, 796, 7901, 532, 7044, 6029, 519, 8022, 5346, 540, 519, 4421, 1359, 9133, 7868, 1152, 3364, 602, 2731, 834, 26444, 25639, 834, 342, 528, 3072, 803, 729, 519, 3381, 609, 519, 6482, 540, 519, 8445, 1379, 4616, 1282, 519, 834, 26444, 25639, 834, 515, 908, 5346, 269, 2467, 568, 4986, 538, 519, 1158, 811, 27303, 543, 3352, 22529, 1043, 543, 1244, 571, 1386, 982, 14616, 834, 26444, 25639, 834, 322, 691, 16466, 9241, 11751, 585, 476, 2568, 536, 15085, 689, 8835, 269, 3719, 1577, 803, 1376, 689, 519, 4098, 269, 27029, 1038, 1582, 27904, 3405, 6500, 15630, 26748, 29495, 994, 1038, 1582, 27863, 4433, 550, 4671, 7505, 1125, 29495, 1070, 1582, 27904, 3405, 6500, 10947, 26748, 15405, 1038, 1257, 815, 834, 4131, 781, 1294, 1018, 649, 1611, 950, 649, 2911, 827, 513, 6216, 269, 589, 6216, 568, 267, 1101, 540, 782, 267, 12205, 602, 1004, 834, 26444, 25639, 834, 9404, 2664, 2299, 723, 950, 789, 5873, 519, 2012, 540, 707, 2754, 267, 5985, 3498, 267, 3896, 267, 834, 26444, 25639, 834, 31756, 11065, 8681, 2679, 568, 513, 1279, 1184, 269, 2142, 5423, 602, 621, 786, 1491, 711, 835, 267, 711, 1079, 267, 834, 26444, 25639, 834, 528, 1256, 476, 277, 3275, 2443, 596, 1590, 581, 4712, 547, 960, 593, 621, 782, 519, 942, 269, 27029, 1038, 1582, 27904, 3405, 6500, 15630, 26748, 29495, 994, 1038, 1582, 27863, 4433, 550, 4671, 7505, 1125, 29495, 1070, 1582, 27904, 3405, 6500, 10947, 26748, 31156, 825, 1219, 1449, 318, 1326, 23544, 4424, 4311, 2187, 1038, 1257, 815, 5727, 2171, 1185, 513, 19619, 540, 11147, 540, 519, 1292, 20111, 267, 513, 13334, 3381, 609, 8963, 19581, 5653, 5951, 13257, 540, 3097, 1038, 631, 5308, 293, 4953, 338, 267, 513, 8468, 2022, 609, 513, 15059, 540, 519, 31887, 2418, 540, 31446, 5547, 29522, 543, 849, 513, 1297, 3097, 1038, 540, 796, 7901, 532, 7044, 6029, 519, 8022, 5346, 540, 519, 4421, 1359, 9133, 269, 634, 1152, 3364, 602, 2731, 14126, 803, 729, 519, 3097, 1038, 3381, 609, 519, 6482, 540, 519, 8445, 1379, 4616, 1282, 519, 8022, 5346, 269, 1703, 568, 4986, 538, 519, 1158, 3097, 1038, 811, 27303, 543, 3352, 22529, 1043, 543, 1244, 571, 1386, 982, 14616, 7047, 16466, 9241, 11751, 585, 476, 2568, 536, 15085, 689, 8835, 269, 1809, 3097, 1038, 1577, 803, 1376, 689, 519, 4098, 269, 8173, 1038, 1582, 27904, 3405, 6500, 15630, 26748, 29495, 994, 1038, 1582, 27863, 4311, 27904, 3405, 6500, 10947, 23544, 4424, 263, 272, 1070, 22373, 763, 1152, 3364, 602, 2731, 14126, 803, 729, 519, 3381, 609, 27029, 14030, 4449, 16875, 834, 1492, 6482, 540, 519, 8445, 1379, 4616, 1282, 519, 27029, 14030, 4449, 16875, 834, 515, 908, 5346, 1701, 7481, 1038, 5758, 815, 1582, 27904, 3405, 6500, 10947, 23544, 4424, 263, 273, 994, 1038, 1582, 27863, 4311, 27904, 3405, 6500, 10947, 23544, 4424, 263, 273, 1070, 1496, 454, 2018, 834, 763, 1152, 3364, 602, 2731, 14126, 803, 729, 519, 3381, 609, 27029, 2018, 834, 1492, 6482, 540, 519, 8445, 1379, 4616, 1282, 519, 27029, 2018, 834, 515, 908, 5346, 1701, 2676, 2018, 834, 2467, 568, 4986, 538, 519, 1158, 811, 27303, 543, 3352, 22529, 1043, 543, 1244, 571, 1386, 982, 14616, 7047, 16466, 9241, 27029, 2018, 834, 321, 4454, 585, 476, 2568, 27029, 2018, 834, 321, 15085, 689, 8835, 1701, 7481, 0, 320, 284, 6358, 2891, 11767, 1297, 272, 2433, 19515, 321, 284, 6358, 2891, 11767, 1297, 273, 2433, 19515, 322, 25507, 5416, 12684, 842, 6357, 994, 822, 326, 815, 524, 1315, 273, 454, 2745, 2891, 8999, 815, 834, 2073, 524, 994, 2745, 2891, 822, 326, 815, 834, 2073, 1285, 326, 264, 0, 258, 12143, 281, 5124, 25725, 630, 28436, 994, 258, 27239, 18412, 454, 258, 476, 1001, 279, 268, 6187, 268, 6734, 692, 5814, 14854, 692, 3698, 2721, 6958, 2683, 318, 5550, 263, 10233, 267, 3259, 267, 4463, 2187, 825, 14854, 269, 10233, 263, 10233, 994, 825, 14854, 269, 8218, 6958, 650, 4590, 825, 14854, 269, 3453, 263, 19417, 994, 825, 14854, 16192, 263, 3445, 994, 825, 14854, 269, 3453, 10857, 2654, 264, 3097, 825, 14854, 16192, 263, 3445, 994, 825, 14854, 269, 3453, 263, 19417, 994, 825, 14854, 16192, 263, 3445, 994, 825, 14854, 269, 3453, 10857, 2654, 264, 3097, 825, 14854, 269, 754, 6958, 650, 4590, 825, 14854, 16192, 263, 3445, 994, 825, 14854, 269, 3453, 263, 19417, 9239, 3698, 10583, 4671, 31103, 10031, 825, 14854, 6230, 1712, 3488, 8421, 334, 5073, 825, 3259, 815, 476, 7742, 454, 825, 4463, 815, 476, 1839, 692, 825, 4778, 815, 18358, 341, 14489, 3299, 1412, 20580, 921, 3299, 1412, 19990, 3299, 1412, 13582, 3299, 3097, 1038, 1412, 344, 3641, 3299, 1412, 528, 1052, 3299, 1412, 1042, 3299, 1412, 321, 3497, 3299, 1412, 18872, 23300, 825, 585, 524, 538, 4778, 912, 1038, 2721, 6958, 2683, 318, 5550, 6262, 267, 3259, 267, 4463, 2020, 825, 14854, 6230, 664, 31467, 10797, 335, 9613, 4671, 31103, 3890, 0, 258, 11415, 1558, 3941, 454, 341, 5953, 337, 1091, 284, 834, 2006, 4840, 6244, 10734, 4669, 328, 284, 341, 5953, 337, 1091, 314, 272, 281, 2639, 2745, 2891, 294, 257, 1341, 7895, 10734, 4669, 328, 2020, 343, 6889, 338, 557, 11986, 267, 27666, 2544, 267, 476, 27029, 343, 24210, 1341, 834, 330, 5953, 737, 331, 5953, 329, 553, 4840, 2745, 3287, 2020, 2745, 263, 276, 266, 277, 264, 258, 1556, 454, 2745, 2891, 276, 257, 1341, 834, 277, 8442, 258, 6321, 692, 2745, 3287, 269, 21639, 3890, 316, 258, 714, 323, 745, 330, 5953, 1471, 340, 818, 561, 1408, 1690, 22044, 454, 2745, 3287, 31573, 3890, 316, 258, 714, 323, 745, 330, 5953, 1471, 340, 818, 544, 1794, 1690, 22044, 454, 343, 273, 24210, 269, 21639, 4590, 2745, 3287, 273, 2020, 2745, 3287, 21858, 28829, 258, 338, 611, 8403, 1471, 340, 17328, 546, 531, 5953, 332, 267, 476, 714, 332, 656, 19390, 582, 693, 28588, 6647, 454, 2745, 3287, 21858, 2891, 320, 257, 4297, 258, 338, 611, 8403, 1471, 340, 17328, 13005, 384, 376, 5953, 332, 267, 476, 714, 332, 656, 19390, 582, 834, 320, 4840, 2745, 3287, 273, 21858, 15405, 0, 5228, 20313, 1104, 13405, 640, 20075, 826, 454, 5814, 2979, 7531, 12163, 7078, 3009, 585, 21712, 24159, 454, 20701, 3698, 1205, 8469, 1014, 263, 531, 626, 2187, 825, 5727, 1326, 11667, 1871, 540, 1592, 620, 626, 12163, 825, 31575, 815, 1592, 263, 531, 626, 994, 825, 31575, 31699, 4590, 825, 620, 523, 815, 7003, 6025, 5404, 994, 825, 952, 630, 531, 523, 4939, 476, 273, 264, 2652, 476, 272, 912, 1038, 2132, 31575, 314, 531, 523, 12262, 476, 273, 2639, 825, 3116, 912, 1038, 2132, 630, 339, 5404, 314, 531, 523, 12262, 476, 273, 316, 1341, 31575, 27007, 531, 523, 12262, 476, 273, 264, 910, 476, 272, 8079, 1315, 476, 273, 454, 672, 692, 3698, 3339, 1125, 8624, 4379, 263, 26383, 2187, 825, 5727, 31863, 1125, 6241, 1210, 3525, 1881, 9208, 24143, 12163, 825, 11667, 815, 1205, 8469, 1014, 263, 26383, 994, 825, 607, 323, 815, 2040, 8443, 11274, 3287, 910, 11667, 264, 585, 1535, 538, 6241, 8079, 1315, 7003, 263, 26383, 994, 825, 1267, 815, 27883, 343, 910, 11667, 264, 1315, 607, 323, 585, 1535, 538, 6241, 2639, 825, 2132, 1267, 692, 5035, 554, 5141, 755, 19907, 912, 825, 5727, 713, 7265, 19907, 17648, 602, 519, 1101, 6241, 540, 519, 1239, 568, 513, 6003, 454, 825, 711, 1031, 538, 519, 24159, 269, 634, 824, 9587, 2270, 25948, 1239, 12163, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 32197, 2187, 1038, 3758, 815, 1930, 6600, 32327, 994, 1038, 1582, 21606, 815, 31460, 1038, 1582, 6983, 3300, 815, 476, 271, 454, 1038, 1582, 269, 28255, 815, 13405, 640, 20075, 826, 4590, 1038, 3515, 815, 3758, 18667, 6050, 4590, 1038, 3758, 25379, 4590, 1038, 20927, 815, 3515, 314, 271, 4940, 20889, 263, 3299, 5073, 1038, 1582, 31815, 338, 815, 7003, 263, 3650, 518, 994, 1038, 1582, 21606, 815, 20886, 316, 585, 1775, 538, 2039, 12759, 263, 3650, 518, 4297, 2639, 1038, 585, 1899, 538, 3515, 314, 272, 281, 14158, 2018, 2281, 815, 1899, 21858, 263, 3299, 5073, 2018, 547, 24327, 815, 476, 271, 454, 2018, 585, 1591, 538, 2039, 4311, 31815, 338, 2187, 3546, 952, 547, 24327, 2652, 476, 271, 912, 4449, 567, 1582, 21606, 314, 3250, 4940, 6572, 263, 3250, 338, 314, 3250, 7481, 4449, 567, 547, 24327, 815, 476, 272, 454, 3546, 3116, 912, 7386, 1582, 21606, 314, 3250, 4940, 6572, 263, 15615, 263, 3250, 338, 314, 3250, 28413, 1038, 1948, 1631, 3339, 1125, 1297, 9587, 630, 7474, 568, 267, 18178, 519, 1101, 6241, 994, 1038, 585, 1775, 538, 2039, 263, 272, 267, 1582, 31815, 338, 2187, 3546, 1582, 21606, 5157, 316, 815, 3339, 1125, 8624, 4379, 4311, 21606, 5157, 20285, 1038, 12693, 454, 1038, 12693, 476, 594, 723, 1224, 538, 519, 1239, 543, 28348, 519, 3097, 1038, 12693, 476, 9587, 269, 3767, 585, 1142, 3693, 1775, 538, 519, 1239, 267, 594, 993, 2469, 547, 454, 1038, 12693, 672, 476, 272, 269, 12337, 519, 28070, 20028, 689, 3693, 1775, 547, 782, 519, 3097, 1038, 12693, 1038, 824, 2609, 269, 476, 901, 1239, 786, 581, 5116, 538, 12543, 267, 799, 454, 1038, 12693, 1038, 568, 513, 5124, 8675, 269, 2913, 781, 2161, 1775, 815, 476, 272, 267, 543, 594, 993, 7384, 454, 1038, 12693, 1038, 519, 3845, 547, 519, 7023, 795, 543, 1577, 781, 2161, 795, 568, 476, 273, 269, 634, 454, 1038, 12693, 1038, 12543, 8675 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1360, 1507, 10774, 731, 2744, 518, 267, 3168, 547, 2333, 2450, 538, 1560, 5888, 269, 645, 7473, 649, 8532, 1259, 1932, 1082, 8477, 630, 6588, 526, 5354, 267, 14432, 8477, 1916, 268, 25665, 281, 2598, 8306, 540, 3339, 12214, 3157, 269, 901, 568, 513, 7294, 267, 1360, 2143, 3787, 269, 1924, 267, 13071, 1175, 2161, 649, 616, 4189, 616, 5666, 540, 14432, 3536, 971, 607, 16741, 267, 3276, 7970, 267, 3728, 1426, 538, 2489, 269, 630, 854, 3983, 3364, 547, 798, 267, 547, 2744, 2597, 1862, 11794, 2597, 1040, 901, 7519, 338, 519, 1560, 2702, 547, 8311, 1125, 610, 8532, 1804, 5666, 540, 5567, 267, 3056, 547, 1978, 8374, 602, 666, 2490, 883, 2068, 543, 5555, 2669, 269, 1401, 281, 10438, 1804, 4410, 338, 540, 3940, 786, 2014, 707, 1560, 781, 9063, 3666, 547, 1689, 543, 8914, 3294, 269, 2107, 10438, 1804, 5666, 540, 4006, 267, 936, 942, 267, 3987, 666, 581, 513, 10894, 2068, 602, 666, 8451, 1813, 547, 707, 1560, 781, 17418, 547, 8311, 1125, 14836, 3959, 563, 268, 10610, 23531, 281, 901, 568, 1141, 938, 5920, 6238, 547, 1689, 269, 1284, 2744, 2597, 855, 922, 782, 3170, 2527, 602, 649, 6591, 269, 1284, 616, 711, 6126, 609, 875, 649, 1413, 269, 901, 568, 1813, 547, 936, 4616, 540, 8477, 543, 711, 1373, 3742, 2614, 563, 27237, 292, 281, 4189, 1804, 5666, 540, 646, 4331, 3536, 267, 568, 590, 2316, 17247, 606, 936, 4616, 540, 8477, 543, 654, 21135, 1267, 568, 13311, 2597, 6591, 269, 3502, 17822, 519, 1426, 568, 2635, 267, 3085, 1405, 1611, 596, 666, 3548, 543, 3548, 543, 3548, 267, 596, 786, 1869, 2744, 2597, 609, 2635, 3536, 269, 2334, 568, 1946, 16795, 4679, 538, 8477, 568, 5227, 543, 711, 513, 6727, 21782, 538, 1608, 7595, 6981, 563, 296, 917, 713, 568, 513, 1279, 1224, 267, 855, 621, 568, 1360, 3730, 1344, 269, 2311, 2547, 621, 13071, 596, 917, 543, 596, 616, 811, 3222, 540, 875, 711, 547, 979, 827, 9561, 610, 11543, 2597, 269, 594, 993, 1256, 16944, 540, 930, 540, 713, 267, 649, 5749, 1405, 1175, 4535, 6616, 782, 713, 1344, 269, 4706, 1271, 547, 917, 1018, 568, 4636, 865, 602, 649, 666, 4188, 543, 2119, 513, 8902, 8905, 563, 32306, 513, 31400, 563, 20756, 16921, 267, 1934, 596, 3513, 1265, 3730, 1344, 602, 594, 917, 786, 948, 596, 2059, 707, 8516, 3460, 269, 0, 7709, 300, 630, 5793, 1640, 8628, 11275, 264, 5179, 568, 606, 10201, 908, 7351, 630, 3722, 264, 15222, 748, 5179, 267, 1141, 519, 8628, 22197, 616, 17332, 3330, 519, 23301, 267, 1247, 538, 11453, 1652, 546, 322, 16546, 519, 8628, 22197, 616, 15841, 593, 519, 2627, 540, 519, 5179, 267, 607, 11609, 538, 7612, 476, 272, 563, 300, 12089, 25042, 6008, 1359, 267, 849, 1634, 607, 7382, 2511, 23376, 610, 1236, 573, 23376, 267, 568, 3362, 6913, 676, 8939, 689, 513, 2241, 6749, 1524, 10624, 538, 938, 12242, 8756, 27196, 563, 10303, 789, 616, 5985, 267, 17985, 26394, 543, 7537, 20745, 666, 581, 7294, 547, 23676, 2393, 269, 10819, 666, 2049, 1282, 513, 1880, 5123, 540, 519, 5163, 1152, 610, 896, 1978, 3768, 17827, 2175, 269, 1763, 6295, 891, 2152, 3335, 3340, 1620, 540, 1018, 4010, 519, 1062, 779, 2175, 616, 693, 519, 942, 540, 519, 1256, 563, 21659, 334, 290, 3198, 568, 513, 3532, 13033, 7014, 2966, 547, 1450, 7605, 1774, 304, 2472, 547, 3362, 5968, 609, 835, 1776, 269, 1717, 267, 621, 666, 581, 513, 3787, 14845, 7620, 547, 1007, 7605, 1774, 304, 3755, 610, 1346, 14542, 609, 27114, 563, 1607, 14292, 27412, 14592, 519, 10198, 1184, 585, 7605, 1774, 336, 779, 476, 1708, 271, 17985, 309, 270, 8980, 290, 2203, 269, 901, 27412, 568, 7745, 1524, 883, 2947, 7344, 2694, 543, 1079, 5122, 2694, 563, 2691, 513, 5179, 568, 18343, 5488, 982, 621, 1131, 7363, 693, 519, 4294, 6453, 267, 971, 607, 950, 3001, 1524, 24824, 610, 632, 5120, 908, 267, 519, 5179, 6411, 899, 513, 11718, 563, 763, 5179, 6724, 540, 1473, 25934, 7763, 832, 616, 2629, 950, 519, 12197, 18112, 5034, 6513, 19171, 8520, 18165, 4882, 32497, 1852, 568, 2877, 269, 2859, 4481, 267, 519, 23301, 779, 13441, 6207, 2990, 568, 5462, 28879, 1210, 1634, 3432, 267, 6453, 543, 1699, 267, 543, 513, 2203, 6041, 540, 519, 5179, 779, 1292, 6724, 269, 901, 5816, 2982, 875, 547, 3313, 891, 6724, 563, 290, 3198, 13449, 568, 513, 2792, 7014, 602, 3096, 1896, 5049, 540, 834, 15953, 338, 257, 585, 5883, 513, 3060, 540, 5179, 17120, 29679, 8596, 267, 623, 9448, 338, 543, 824, 3457, 269, 589, 2347, 6609, 540, 27114, 13449, 666, 581, 1336, 593, 9504, 563, 30252, 2782, 781, 681, 273, 291, 273, 814, 6273, 513, 5108, 540, 8030, 543, 8030, 3562, 15515, 547, 11654, 519, 2361, 540, 29790, 269, 1403, 596, 2479, 26927, 3139, 540, 2348, 707, 1378, 5323, 573, 267, 713, 946, 5816, 2376, 786, 2982, 875, 596, 1223, 563, 763, 1239, 2366, 689, 519, 20798, 616, 476, 271, 268, 274, 309, 543, 666, 581, 2047, 4448, 547, 519, 17120, 781, 19954, 22446, 3403, 1141, 621, 786, 581, 9676, 607, 4570, 476, 271, 268, 272, 2157, 7868, 1239, 693, 519, 3977, 540, 519, 17120, 568, 1341, 25773, 1015, 309, 563, 27184, 2839, 16776, 543, 13494, 553, 616, 513, 1942, 2500, 543, 3608, 1505, 585, 8159, 519, 4087, 540, 513, 8773, 2059, 922, 3950, 269, 27114, 15411, 16674, 2839, 5467, 11320, 761, 619, 616, 513, 4161, 547, 8818, 2047, 547, 513, 5179, 17120, 269, 901, 568, 1317, 27114, 15411, 568, 513, 4487, 4882, 331, 1511, 6189, 543, 1312, 519, 16674, 2839, 13494, 320, 543, 519, 5179, 17120, 616, 10553, 3457, 269, 769, 513, 6093, 1062, 267, 513, 27114, 15411, 4487, 630, 320, 623, 9448, 585, 1383, 264, 1590, 30321, 1239, 689, 519, 13494, 320, 543, 6494, 621, 547, 519, 17120, 563, 8450, 875, 547, 1628, 606, 9631, 333, 573, 27399, 8773, 609, 1175, 1079, 7605, 1774, 336, 12242, 8756, 9823, 5179, 27196, 547, 10446, 5397, 2185, 803, 4754, 636, 14743, 563, 3086, 12997, 681, 5308, 910, 31584, 21952, 3590, 568, 835, 540, 519, 1898, 18951, 1646, 5867, 538, 519, 2872, 269, 634, 7605, 1774, 336, 568, 1631, 6368, 4947, 909, 609, 681, 5308, 15095, 7605, 1774, 336, 16359, 2552, 28948, 30905, 585, 741, 3755, 10756, 25811, 619, 693, 7605, 1774, 336, 723, 2919, 606, 16600, 268, 869, 1942, 267, 17426, 17985, 309, 3087, 1807, 1759, 593, 513, 7780, 1006, 14295, 543, 20522, 13398, 16546, 563, 12507, 13501, 519, 2773, 540, 513, 7605, 1774, 304, 5179, 17120, 568, 1898, 547, 13215, 519, 6165, 540, 938, 5179, 27196, 269, 769, 713, 2376, 267, 649, 786, 581, 11744, 519, 4359, 2553, 602, 7605, 1774, 304, 8030, 2483, 9336, 2413, 5179, 17120, 585, 5696, 2313, 1652, 16546, 1631, 2934, 12197, 18112, 5034, 6513, 630, 10440, 21070, 7804, 633, 1040, 0, 1103, 519, 1483, 1158, 596, 786, 1419, 1265, 602, 1239, 5205, 513, 1978, 5506, 3892, 269, 6787, 621, 568, 513, 21714, 630, 528, 3339, 264, 3892, 267, 1284, 756, 1638, 3892, 267, 7313, 24480, 3892, 267, 12825, 3892, 3092, 1421, 786, 4096, 593, 519, 1808, 1239, 563, 18455, 3222, 540, 799, 3892, 6257, 707, 1239, 267, 610, 2693, 1655, 6257, 707, 1239, 267, 2636, 596, 547, 1491, 5413, 540, 602, 1249, 267, 543, 2087, 707, 23221, 543, 5924, 11236, 563, 1607, 2376, 786, 1413, 693, 875, 16107, 1702, 540, 606, 5817, 5506, 3892, 540, 513, 10471, 666, 2087, 519, 3514, 540, 513, 536, 690, 3044, 918, 5336, 324, 753, 24159, 2203, 267, 543, 1256, 1450, 585, 13128, 5542, 540, 519, 1297, 540, 3617, 13421, 267, 2047, 689, 519, 5817, 1239, 563, 288, 2603, 540, 519, 2212, 1467, 1178, 25290, 3684, 1315, 2620, 1565, 2553, 4043, 547, 4125, 24892, 3684, 1315, 2620, 1565, 1775, 4318, 269, 519, 1239, 814, 1044, 31002, 267, 543, 519, 3631, 616, 2016, 519, 2953, 4267, 547, 1451, 689, 269, 634, 8036, 2203, 568, 1287, 4294, 547, 2104, 1239, 547, 1118, 11236, 563, 1607, 568, 782, 1360, 3730, 267, 855, 519, 4641, 568, 602, 1239, 568, 7683, 1373, 3812, 676, 4213, 543, 1004, 1472, 519, 1158, 267, 543, 519, 5354, 540, 621, 568, 711, 31002, 269, 898, 568, 2965, 3833, 7199, 543, 942, 10438, 547, 6003, 1239, 538, 519, 5318, 5354, 540, 2665, 269, 901, 568, 1141, 5667, 10967, 14876, 1565, 2501, 538, 563, 2507, 11907, 568, 7683, 1373, 3812, 676, 4213, 543, 1004, 1472, 519, 1158, 267, 543, 519, 5354, 540, 621, 568, 711, 31002, 563, 23804, 519, 1655, 1259, 547, 18505, 2495, 689, 796, 18350, 8215, 1239, 568, 513, 1360, 1271, 13287, 585, 1082, 4213, 269, 898, 2636, 519, 796, 792, 2251, 540, 5732, 7164, 267, 610, 1447, 6654, 267, 3466, 610, 1895, 902, 269, 898, 568, 1287, 2009, 547, 3651, 2200, 267, 3077, 1808, 2516, 540, 5561, 267, 610, 1175, 1128, 580, 622, 3606, 1382, 543, 1646, 563, 10702, 547, 713, 267, 513, 1804, 5354, 540, 519, 942, 267, 519, 1239, 3322, 1004, 610, 2067, 3157, 538, 835, 1106, 610, 824, 269, 7849, 3157, 267, 543, 519, 7180, 540, 1004, 616, 267, 811, 1419, 982, 711, 267, 9676, 543, 4330, 1134, 676, 513, 21714, 3892, 563, 4415, 713, 538, 2247, 267, 713, 2376, 786, 1491, 513, 1413, 883, 875, 513, 21714, 3892, 267, 538, 519, 1106, 540, 1312, 513, 21714, 631, 4869, 675, 7844, 630, 294, 12613, 264, 543, 513, 28662, 21714, 631, 4869, 675, 7844, 630, 289, 294, 12613, 1070, 666, 581, 3351, 2213, 547, 2087, 519, 24159, 6111, 540, 513, 10471, 602, 4564, 2048, 11499, 3157, 685, 11402, 538, 1483, 1158, 14449, 563, 2026, 513, 6476, 543, 3490, 585, 27790, 267, 519, 24819, 918, 5336, 324, 753, 24159, 5690, 786, 581, 1031, 563, 763, 4643, 286, 1948, 454, 20124, 676, 2441, 2088, 5651, 21034, 689, 623, 1410, 1564, 454, 1607, 2376, 786, 3382, 3833, 513, 2603, 540, 2666, 267, 543, 849, 6451, 1806, 689, 513, 3102, 808, 1575, 344, 614, 21641, 563, 1607, 3296, 1058, 2285, 596, 930, 5583, 593, 1018, 568, 4988, 543, 1141, 547, 18178, 547, 1058, 596, 991, 1569, 547, 1808, 1344, 563, 268, 21231, 519, 2376, 786, 3382, 519, 968, 6343, 892, 543, 968, 25585, 892, 2055, 538, 2543, 547, 519, 946, 540, 21714, 631, 4869, 675, 17738, 538, 2489, 563, 268, 1306, 972, 616, 1079, 11593, 2139, 30582, 540, 21714, 631, 4869, 675, 17738, 1369, 519, 1414, 18145, 268, 16753, 5399, 267, 513, 4901, 540, 519, 1883, 3604, 1063, 513, 10750, 21714, 631, 4869, 675, 7844, 543, 28662, 21714, 631, 4869, 675, 7844, 786, 1246, 563, 268, 634, 2376, 786, 1287, 4685, 883, 1210, 21714, 631, 4869, 675, 17738, 547, 12440, 513, 1483, 1158, 3818, 1922, 324, 25733, 10471, 269, 2353, 1806, 786, 581, 8045, 1210, 918, 5336, 324, 753, 267, 513, 10750, 21714, 631, 4869, 675, 7844, 543, 513, 28662, 21714, 631, 4869, 675, 7844, 563, 268, 1703, 786, 1287, 581, 1079, 3606, 6810, 5097, 5059, 593, 20501, 3308, 5314, 540, 519, 6620, 269, 29203, 540, 519, 1239, 786, 581, 4389, 676, 513, 264, 1210, 513, 1079, 5057, 6240, 5057, 2079, 630, 303, 7563, 264, 543, 536, 264, 30228, 1152, 1079, 2934, 689, 519, 10471, 454, 9616, 281, 519, 10471, 6074, 568, 538, 1249, 31002, 269, 901, 814, 1044, 2944, 22393, 865, 602, 519, 2773, 540, 519, 24159, 666, 581, 3379, 547, 519, 476, 1911, 260, 2953, 543, 1634, 3119, 24159, 563, 763, 4112, 534, 725, 1948, 454, 20124, 676, 2717, 2088, 2098, 20810, 2006, 689, 623, 1410, 1564, 454, 2080, 649, 3382, 519, 968, 6343, 892, 543, 968, 25585, 892, 1826, 2055, 1354, 3478, 12758, 883, 519, 1239, 547, 1294, 621, 782, 538, 2962, 563, 6524, 649, 1205, 3323, 267, 621, 568, 4502, 15663, 602, 972, 786, 581, 1100, 4901, 540, 1018, 513, 21714, 1315, 16453, 3892, 568, 267, 610, 1256, 1018, 918, 5336, 324, 753, 24159, 568, 269, 1703, 616, 7899, 540, 1390, 2200, 856, 972, 267, 543, 972, 1175, 3884, 1406, 519, 2230, 547, 3382, 621, 538, 713, 2376, 269, 4475, 267, 513, 2596, 1620, 540, 1346, 2035, 568, 10924, 689, 713, 1448, 593, 563, 9616, 281, 519, 2453, 968, 294, 320, 11701, 3892, 892, 543, 968, 31863, 3892, 892, 1611, 835, 543, 519, 1482, 3364, 267, 543, 786, 581, 1031, 30430, 2429, 713, 2376, 563, 1432, 568, 513, 21714, 631, 4869, 675, 7844, 286, 1948, 454, 1103, 2241, 2474, 267, 519, 5690, 17648, 602, 519, 1239, 596, 1683, 621, 666, 581, 4114, 13846, 609, 606, 5667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 634, 2011, 729, 5394, 609, 11195, 543, 519, 20416, 540, 1651, 1619, 607, 8861, 22283, 1055, 519, 7077, 543, 5196, 519, 512, 29108, 693, 31436, 3120, 327, 681, 2967, 4139, 23076, 269, 2701, 1185, 1044, 3168, 4464, 547, 713, 7552, 585, 3275, 910, 513, 1454, 32571, 9101, 689, 1200, 1164, 3613, 816, 2816, 543, 3728, 19550, 2749, 1272, 269, 1306, 1352, 6394, 1200, 561, 10212, 720, 543, 688, 6150, 513, 3454, 328, 267, 8861, 7948, 1405, 7227, 547, 32696, 538, 782, 519, 10366, 543, 2833, 602, 7195, 328, 1185, 547, 2709, 780, 2026, 513, 1072, 23655, 1367, 267, 8861, 729, 9599, 547, 2119, 930, 540, 519, 2199, 11951, 602, 729, 1312, 14312, 543, 8949, 269, 2701, 6785, 602, 12868, 729, 1634, 585, 922, 3638, 543, 3309, 11477, 6429, 267, 865, 1352, 4280, 519, 9920, 547, 4363, 930, 2635, 8286, 547, 2119, 1282, 1200, 3251, 780, 257, 17764, 267, 7323, 267, 594, 917, 1175, 519, 3364, 10590, 646, 608, 13094, 267, 1010, 4064, 8654, 909, 693, 519, 4316, 547, 2671, 1010, 2528, 609, 513, 21233, 269, 834, 2791, 3274, 1590, 2119, 13439, 328, 3786, 584, 910, 621, 781, 513, 2757, 24414, 8670, 1500, 909, 540, 7573, 267, 5388, 267, 543, 707, 3903, 540, 3940, 267, 899, 31949, 610, 1661, 701, 327, 269, 898, 781, 14095, 2407, 540, 8324, 543, 6886, 267, 543, 621, 781, 11613, 16802, 532, 609, 8137, 3010, 27880, 781, 5023, 530, 23926, 693, 519, 2219, 269, 834, 6546, 4992, 5863, 2437, 1352, 1767, 269, 834, 1432, 3116, 798, 596, 4363, 12482, 257, 11039, 267, 972, 781, 575, 5964, 3766, 5964, 910, 621, 781, 513, 19997, 1500, 909, 540, 6404, 5388, 543, 31949, 267, 21039, 538, 513, 561, 639, 4109, 24113, 14036, 2437, 519, 9920, 6700, 269, 834, 7775, 952, 596, 4782, 1945, 2295, 1512, 267, 972, 781, 544, 773, 575, 648, 978, 910, 513, 13489, 1922, 787, 8670, 1500, 609, 30653, 267, 5388, 267, 543, 2901, 5779, 610, 31949, 267, 782, 19184, 539, 538, 513, 25970, 31625, 13594, 269, 1656, 540, 1576, 267, 972, 781, 2141, 13439, 328, 575, 648, 978, 267, 799, 568, 2147, 547, 544, 773, 575, 648, 978, 267, 855, 1500, 609, 7573, 3079, 540, 30653, 3010, 27880, 21330, 2059, 267, 1818, 2790, 4967, 540, 1142, 8670, 269, 1809, 1287, 267, 513, 6727, 5951, 540, 16203, 18233, 936, 1200, 269, 12984, 1352, 2731, 1934, 593, 16314, 547, 3548, 1072, 1176, 286, 9701, 333, 1405, 1352, 1450, 9887, 547, 1577, 10690, 543, 2972, 782, 519, 1232, 611, 550, 3536, 602, 7195, 328, 1185, 547, 2709, 286, 2991, 782, 267, 7012, 1405, 602, 1018, 7477, 725, 941, 585, 2496, 9515, 21350, 5367, 891, 4145, 16965, 547, 519, 9920, 267, 945, 669, 3089, 1194, 27145, 543, 14452, 267, 834, 29309, 267, 3666, 568, 1883, 547, 3388, 538, 1272, 267, 1519, 2951, 269, 1411, 666, 6157, 1521, 3054, 1247, 596, 2811, 1934, 267, 855, 1946, 711, 849, 1491, 5413, 540, 519, 1082, 8949, 543, 14312, 3681, 2139, 547, 596, 286, 9578, 267, 676, 4189, 1134, 267, 596, 3513, 723, 811, 1648, 547, 2263, 543, 1995, 782, 602, 7195, 328, 814, 547, 2709, 3010, 27880, 2808, 713, 7326, 607, 789, 22755, 998, 519, 14297, 10754, 540, 9324, 335, 553, 541, 267, 2921, 538, 519, 7524, 4778, 543, 4992, 540, 519, 6532, 269, 12344, 972, 729, 4055, 585, 20208, 267, 1256, 593, 16314, 780, 7021, 519, 1985, 1906, 2395, 267, 8861, 25541, 1142, 540, 519, 8286, 602, 519, 9920, 1185, 5227, 267, 5260, 1681, 741, 1950, 10366, 543, 17598, 1200, 14000, 1510, 18731, 1200, 1072, 3853, 269, 2701, 4362, 1007, 29202, 267, 899, 13439, 328, 512, 2794, 1263, 910, 513, 10875, 13409, 11057, 544, 895, 540, 7573, 11303, 676, 606, 5044, 540, 10477, 2427, 8286, 910, 543, 521, 622, 267, 13035, 7729, 9955, 540, 2261, 3990, 5779, 610, 31949, 1989, 2683, 547, 19870, 543, 1159, 6139, 1042, 538, 27598, 24113, 14036, 780, 3080, 1554, 267, 607, 1352, 2893, 1524, 547, 2972, 513, 12826, 540, 5347, 773, 12826, 267, 533, 6150, 1164, 609, 4195, 9341, 5613, 267, 29511, 344, 11491, 7637, 267, 543, 513, 6564, 641, 540, 17310, 18506, 267, 8861, 13351, 909, 513, 6643, 609, 519, 4807, 27206, 22290, 1200, 269, 1358, 22121, 16990, 1845, 827, 741, 12599, 543, 4166, 1336, 2933, 2620, 538, 4901, 827, 1272, 267, 2648, 267, 543, 3483, 780, 19285, 1031, 547, 1589, 602, 2713, 513, 2635, 6197, 5921, 27102, 8885, 12257, 543, 18656, 10885, 2437, 8861, 21334, 539, 269, 834, 3719, 1631, 594, 1294, 602, 621, 781, 827, 4466, 3666, 543, 11981, 782, 3344, 540, 1272, 267, 1519, 1426, 269, 14856, 1134, 10173, 803, 9308, 267, 15508, 267, 543, 14156, 267, 3850, 803, 547, 4628, 9784, 1169, 4090, 540, 1250, 3460, 3010, 763, 4807, 20493, 267, 12162, 3429, 538, 6876, 269, 834, 2005, 781, 16168, 875, 938, 5133, 593, 1919, 666, 6521, 950, 649, 1930, 6000, 909, 547, 1007, 2833, 2437, 1352, 1660, 539, 269, 834, 9199, 767, 814, 513, 1259, 540, 3257, 602, 910, 4543, 721, 1294, 519, 1158, 267, 543, 6000, 267, 538, 513, 2898, 1007, 1769, 3010, 4415, 17105, 7071, 267, 8861, 5260, 1819, 1142, 11116, 540, 1200, 5347, 773, 12826, 267, 18507, 585, 519, 4960, 547, 22962, 1200, 20030, 543, 3605, 519, 3020, 2495, 540, 3666, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 29205, 596, 2303, 930, 2635, 1426, 3681, 547, 2119, 538, 7195, 328, 602, 616, 1869, 29316, 543, 8949, 888, 26807, 569, 256, 3371, 616, 930, 2635, 1426, 3681, 547, 2119, 538, 7195, 328, 602, 616, 1869, 29316, 543, 8949, 1384, 272, 269, 715, 14515, 8805, 584, 281, 589, 2757, 24414, 8670, 1500, 909, 540, 7573, 267, 5388, 267, 543, 824, 547, 25940, 899, 31949, 610, 1661, 701, 327, 780, 273, 269, 717, 5964, 8566, 5964, 281, 589, 19997, 1500, 909, 540, 513, 3575, 540, 5388, 543, 31949, 267, 6039, 609, 513, 24113, 14036, 19703, 780, 274, 269, 631, 773, 717, 648, 978, 281, 589, 8949, 13489, 1922, 3072, 562, 22259, 8670, 609, 5388, 267, 31949, 610, 5779, 267, 543, 513, 25970, 14036, 780, 275, 269, 715, 14515, 717, 648, 978, 281, 5381, 547, 631, 773, 717, 648, 978, 267, 855, 609, 7573, 3079, 540, 30653, 780, 276, 269, 715, 14515, 570, 2794, 1263, 281, 589, 2757, 808, 24170, 3150, 8670, 602, 5161, 540, 7573, 267, 5388, 267, 543, 513, 2039, 540, 824, 547, 25940, 602, 616, 6039, 1927, 780, 277, 269, 590, 622, 281, 28024, 26833, 5779, 610, 31949, 602, 568, 1989, 2683, 543, 6039, 609, 513, 24113, 14036, 780, 278, 269, 3911, 26743, 773, 14332, 3149, 281, 589, 24253, 543, 2635, 14254, 4781, 602, 3335, 2882, 4829, 267, 11491, 7637, 267, 543, 18506, 610, 2030, 2861, 5144, 780, 279, 269, 18610, 1530, 2378, 797, 281, 7195, 328, 814, 7899, 540, 4195, 16872, 1992, 629, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 634, 4764, 11013, 539, 1996, 519, 6885, 335, 2033, 267, 2870, 513, 11931, 11733, 602, 20083, 1200, 17040, 2295, 269, 8861, 2893, 4805, 538, 1200, 1507, 19887, 267, 31325, 10145, 569, 693, 519, 5496, 538, 4395, 540, 1200, 269, 2701, 1185, 2141, 1044, 606, 2038, 3792, 614, 540, 1007, 4066, 267, 4466, 24176, 538, 741, 9153, 540, 4276, 543, 13418, 269, 1809, 9522, 697, 267, 1352, 7948, 1405, 21199, 519, 4743, 602, 1945, 729, 7508, 780, 15463, 6049, 18388, 539, 593, 519, 3349, 22290, 1200, 267, 8840, 519, 16563, 269, 898, 729, 1776, 5048, 689, 3627, 267, 6998, 952, 789, 941, 1869, 593, 585, 12129, 14182, 3781, 269, 2701, 11688, 18469, 1354, 17511, 856, 513, 3210, 910, 834, 4692, 1405, 7227, 10590, 910, 1287, 5734, 6494, 269, 20290, 14678, 267, 1010, 16253, 3357, 998, 281, 834, 9288, 1932, 3010, 27880, 521, 19042, 543, 10709, 539, 1394, 538, 1200, 11381, 269, 17610, 267, 14379, 609, 3627, 729, 2653, 1631, 7064, 547, 5985, 11436, 267, 855, 1705, 621, 2731, 1611, 4376, 286, 1358, 1223, 2911, 20471, 789, 4941, 267, 2943, 11214, 789, 2760, 8604, 547, 2161, 1454, 540, 6219, 15042, 269, 12984, 713, 5963, 519, 1655, 602, 2029, 1185, 547, 2709, 950, 621, 3357, 547, 8220, 609, 1866, 2496, 9515, 1350, 2331, 936, 693, 1200, 15291, 267, 1141, 513, 3368, 27787, 4757, 588, 1563, 1394, 693, 1200, 269, 2423, 17067, 2221, 267, 1352, 9364, 1224, 827, 606, 2025, 3659, 945, 5030, 13383, 267, 2576, 1352, 22821, 1405, 9275, 547, 538, 1296, 269, 1358, 1031, 547, 5385, 1279, 5022, 4904, 609, 2984, 543, 4555, 267, 4687, 4773, 540, 2933, 602, 5433, 1932, 15982, 585, 6071, 6643, 269, 3767, 267, 782, 789, 1185, 941, 5618, 6835, 2366, 998, 1514, 2923, 267, 2407, 540, 900, 19390, 529, 855, 27507, 540, 2495, 780, 288, 533, 836, 540, 16203, 18233, 936, 1200, 607, 1352, 2219, 827, 875, 2370, 4674, 1352, 2322, 883, 4509, 1346, 4296, 891, 2395, 269, 16874, 1352, 1831, 865, 882, 5050, 593, 519, 8897, 540, 2413, 2792, 602, 1352, 9364, 16618, 922, 3020, 3483, 286, 1677, 1628, 3347, 267, 6536, 1620, 267, 543, 1711, 8090, 540, 9758, 1480, 4276, 780, 4415, 17105, 8990, 267, 8861, 8118, 909, 513, 3381, 1289, 813, 543, 3866, 539, 1200, 3659, 781, 1297, 269, 1306, 4166, 607, 789, 4448, 267, 1352, 4718, 519, 5432, 12837, 1769, 909, 1200, 3659, 781, 3068, 267, 5103, 1373, 5215, 540, 5195, 2476, 269, 1280, 519, 1985, 5662, 267, 789, 14437, 899, 789, 1031, 547, 1107, 16175, 267, 25473, 267, 543, 1510, 30063, 269, 1656, 1498, 519, 4764, 4797, 547, 2887, 3544, 267, 8861, 6785, 602, 3330, 1200, 6263, 19887, 267, 1945, 4190, 729, 8345, 780, 2026, 1352, 8694, 519, 1289, 543, 6806, 1200, 15291, 267, 8861, 7691, 602, 1247, 2029, 1185, 6157, 4957, 519, 1259, 649, 5968, 267, 621, 4769, 1405, 5581, 519, 9759, 540, 4276, 3294, 269, 2334, 1379, 1869, 20705, 547, 721, 1107, 547, 3442, 13438, 936, 13418, 267, 3178, 936, 1786, 6143, 267, 543, 2648, 936, 3284, 4331, 780, 4517, 6148, 267, 1175, 6148, 267, 8508, 1346, 5079, 1131, 948, 721, 2699, 4593, 1478, 1018, 621, 1797, 547, 5963, 1921, 609, 835, 1776, 2899, 1586, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 814, 2029, 4957, 519, 1259, 649, 5968, 267, 543, 1018, 616, 930, 540, 519, 1034, 1271, 10124, 538, 713, 2361, 888, 296, 993, 711, 5827, 540, 2348, 513, 2123, 1995, 267, 855, 1775, 666, 1683, 596, 609, 519, 1344, 543, 1702, 2687, 547, 1250, 5752, 269, 8528, 974, 9592, 814, 4625, 19117, 519, 1259, 649, 5968, 538, 938, 3232, 2729, 269, 930, 540, 519, 1034, 1271, 10124, 538, 713, 2361, 1331, 1384, 272, 269, 5985, 11436, 281, 519, 8798, 540, 5985, 11436, 814, 1500, 2792, 811, 3015, 543, 10375, 269, 649, 616, 1631, 2111, 547, 5968, 609, 1004, 9170, 538, 519, 1158, 267, 3592, 8216, 24345, 780, 273, 269, 1514, 2923, 281, 1514, 2923, 5867, 971, 607, 3068, 1504, 267, 1000, 7867, 267, 543, 1128, 8183, 723, 4625, 9927, 2792, 676, 3246, 2043, 609, 519, 2702, 547, 2671, 543, 2170, 609, 1004, 689, 1114, 2694, 540, 519, 1158, 538, 1483, 6066, 780, 274, 269, 3381, 1476, 17182, 281, 3381, 1476, 17182, 2029, 814, 17515, 3845, 607, 513, 11064, 547, 2792, 676, 3850, 1004, 547, 2170, 3068, 3562, 19904, 538, 9232, 692, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 595, 6993, 1421, 10557, 267, 590, 1421, 476, 1220, 274, 269, 634, 570, 13116, 4763, 540, 29712, 1712, 2950, 538, 11934, 5701, 609, 2357, 6193, 558, 14006, 338, 269, 16677, 11893, 860, 807, 476, 5325, 267, 476, 278, 3607, 268, 278, 2412, 563, 288, 3757, 935, 267, 715, 269, 304, 1421, 29885, 267, 595, 6993, 1421, 20182, 267, 570, 12282, 1421, 1635, 337, 928, 267, 681, 12282, 269, 476, 1220, 278, 4675, 1833, 540, 1079, 1606, 13607, 1540, 17178, 544, 924, 630, 307, 564, 337, 1415, 577, 639, 2712, 6776, 2801, 1070, 803, 3315, 12961, 630, 303, 12065, 19905, 264, 543, 21428, 573, 630, 7069, 345, 639, 1086, 545, 2801, 264, 5095, 543, 3441, 676, 2357, 6193, 558, 14006, 338, 269, 30495, 10466, 476, 2918, 267, 476, 2918, 268, 4375, 563, 20103, 476, 866, 267, 476, 1220, 278, 1923, 4937, 454, 11045, 7675, 7233, 31226, 12792, 715, 14670, 3941, 1656, 1488, 6605, 617, 623, 3949, 2060, 21502, 545, 558, 14006, 1855, 553, 454, 27807, 290, 19564, 5412, 476, 1220, 278, 267, 5292, 269, 476, 4366, 267, 3143, 269, 476, 1321, 267, 533, 269, 476, 4343, 0, 6930, 497, 364, 2201, 5482, 1149, 281, 1946, 543, 875, 789, 4755, 269, 1677, 945, 888, 13070, 337, 4115, 7239, 1995, 26380, 585, 513, 3099, 540, 4128, 267, 1519, 4057, 10350, 267, 2112, 267, 543, 4365, 563, 3725, 321, 1564, 267, 2052, 1023, 1299, 7313, 11143, 630, 2129, 1250, 994, 289, 520, 3377, 1299, 3504, 11505, 14034, 454, 6930, 497, 501, 30064, 4258, 3150, 1280, 1411, 1299, 2725, 454, 300, 1245, 29374, 1426, 4859, 454, 13695, 326, 3240, 24437, 1299, 986, 1597, 1085, 8083, 454, 15933, 21054, 543, 519, 3463, 540, 1025, 2074, 454, 12901, 604, 25193, 267, 2860, 23833, 267, 22300, 23080, 328, 2510, 454, 2750, 5328, 3536, 4196, 9161, 5301, 454, 290, 28979, 585, 5126, 267, 10504, 267, 1299, 3454, 4187, 454, 763, 645, 7867, 6355, 540, 21690, 4248, 2142, 753, 454, 763, 15796, 540, 11975, 1299, 15495, 454, 22897, 1299, 3454, 6042, 1764, 1426, 2528, 0, 8340, 856, 875, 519, 8818, 814, 7960, 936, 942, 543, 875, 519, 812, 10276, 1444, 2078, 814, 6766, 519, 812, 2173, 22389, 2078, 269, 7427, 519, 2067, 11144, 540, 519, 14871, 28497, 538, 922, 30031, 7648, 543, 875, 2029, 267, 20932, 267, 23440, 267, 543, 2790, 3631, 723, 19430, 811, 16022, 543, 2502, 3593, 2833, 563, 3528, 1488, 321, 329, 7637, 570, 657, 6390, 454, 275, 4989, 476, 1708, 274, 454, 289, 4361, 1686, 540, 519, 3593, 8818, 454, 763, 1101, 8818, 649, 917, 827, 568, 519, 4478, 1604, 267, 1142, 1843, 568, 2966, 543, 568, 851, 540, 938, 3232, 1272, 267, 540, 519, 1259, 649, 2170, 610, 9305, 609, 519, 1604, 543, 2470, 269, 589, 1797, 540, 2792, 1063, 721, 543, 519, 1387, 4084, 1158, 649, 2661, 538, 269, 634, 8818, 7444, 9450, 689, 519, 2168, 547, 519, 3059, 10155, 609, 519, 4417, 540, 519, 1101, 6191, 269, 4653, 5907, 3457, 616, 10876, 543, 16382, 3593, 17103, 616, 4294, 267, 4720, 543, 519, 1007, 6639, 5736, 12211, 721, 547, 513, 1007, 2825, 8818, 563, 763, 4720, 540, 519, 14871, 28497, 3459, 609, 519, 4417, 540, 2241, 3156, 1210, 519, 4971, 1899, 8818, 267, 609, 519, 4367, 540, 9910, 543, 2890, 26732, 269, 901, 8818, 2838, 519, 3593, 547, 917, 519, 12981, 602, 1131, 581, 2877, 267, 8506, 519, 3593, 547, 723, 1991, 1702, 540, 875, 519, 1062, 5249, 563, 7712, 1287, 519, 946, 540, 519, 2780, 729, 711, 7839, 267, 5097, 11603, 585, 1382, 20682, 282, 2348, 513, 1451, 762, 3593, 8818, 729, 711, 513, 10421, 1394, 1287, 563, 4415, 519, 2333, 538, 519, 946, 540, 7384, 3457, 621, 814, 4547, 519, 13999, 2509, 513, 811, 3573, 5872, 609, 3301, 267, 11021, 606, 3362, 22150, 8818, 282, 713, 10421, 568, 1641, 547, 1857, 18765, 543, 7375, 563, 17637, 532, 585, 1004, 454, 763, 2856, 540, 14704, 8361, 667, 9445, 325, 1380, 267, 547, 834, 611, 2194, 519, 3684, 547, 812, 2864, 982, 812, 547, 3684, 257, 630, 4198, 276, 267, 834, 17637, 532, 585, 4658, 8442, 15469, 543, 11461, 519, 1259, 540, 3168, 693, 519, 1480, 2078, 609, 2029, 547, 513, 1007, 5133, 269, 667, 9445, 325, 1380, 5795, 4473, 547, 23908, 21978, 1374, 607, 649, 1174, 621, 2221, 543, 547, 4766, 2230, 538, 454, 3602, 812, 543, 3684, 2743, 607, 606, 1412, 5793, 2183, 8339, 634, 1007, 5133, 814, 9450, 547, 1831, 1018, 649, 1631, 1289, 5872, 1374, 543, 568, 4867, 519, 4493, 540, 519, 1374, 16097, 540, 834, 16058, 10704, 257, 5054, 281, 3593, 19721, 1374, 267, 2653, 543, 17598, 547, 946, 563, 763, 1101, 3301, 2877, 513, 3593, 8818, 2203, 602, 729, 2653, 547, 9772, 267, 519, 9858, 941, 6273, 676, 519, 2623, 540, 1004, 945, 2907, 1185, 513, 2790, 2203, 540, 513, 1826, 23116, 13691, 282, 789, 6785, 2907, 899, 17511, 267, 865, 519, 2067, 11144, 729, 547, 1376, 15025, 609, 1257, 593, 3059, 13819, 538, 519, 1482, 1259, 563, 2304, 3801, 814, 3976, 1044, 1500, 267, 998, 23199, 540, 519, 10444, 1158, 267, 547, 11291, 4122, 1031, 3615, 12835, 1227, 267, 971, 607, 519, 17835, 12835, 547, 2099, 519, 3758, 1463, 1559, 267, 519, 17885, 666, 12835, 585, 18111, 1154, 267, 1166, 641, 6853, 12210, 585, 9494, 267, 11706, 267, 3625, 4967, 3092, 269, 630, 1607, 849, 10039, 547, 5985, 1883, 15236, 602, 1413, 899, 9910, 8747, 540, 873, 1883, 15236, 543, 1826, 32392, 12175, 1809, 519, 2949, 12716, 729, 7168, 6366, 543, 5276, 563, 763, 3689, 8908, 540, 8641, 673, 14871, 28497, 630, 294, 21397, 264, 649, 1294, 538, 2473, 518, 2135, 476, 3192, 274, 267, 2966, 676, 6022, 334, 1325, 1729, 3194, 4741, 543, 4553, 676, 519, 3689, 9608, 8950, 630, 2735, 274, 267, 22126, 264, 799, 2838, 3755, 547, 1826, 4971, 12987, 602, 1131, 1685, 1808, 4247, 593, 741, 7193, 269, 1280, 1424, 3755, 547, 3314, 1082, 12981, 547, 2347, 4247, 543, 513, 840, 268, 32474, 540, 519, 3926, 563, 2005, 7012, 1405, 2394, 476, 2735, 275, 267, 950, 11197, 5189, 519, 5839, 842, 9655, 267, 602, 513, 717, 21397, 729, 2966, 547, 14458, 519, 1259, 3755, 1031, 519, 7193, 269, 20305, 3323, 1210, 519, 7193, 711, 1175, 1317, 789, 1185, 547, 267, 855, 1317, 789, 834, 342, 5896, 257, 547, 563, 763, 4720, 540, 3593, 8818, 1374, 814, 1044, 6766, 676, 1455, 12746, 625, 281, 2029, 910, 20932, 910, 23440, 543, 2790, 3631, 269, 634, 1655, 2259, 585, 12561, 513, 1007, 3308, 1893, 568, 547, 1331, 543, 5447, 609, 1004, 781, 2790, 3631, 282, 543, 2226, 513, 4276, 609, 519, 19355, 1158, 563, 763, 4473, 540, 519, 5905, 1606, 10547, 5736, 630, 1220, 271, 338, 264, 8118, 909, 1007, 2081, 585, 3755, 547, 2170, 609, 741, 3457, 269, 634, 717, 21397, 3323, 5373, 1256, 811, 1483, 3734, 8100, 547, 1483, 3734, 3615, 543, 18282, 269, 901, 1826, 540, 1374, 729, 1634, 607, 28024, 340, 31532, 563, 763, 28024, 340, 31532, 2511, 3096, 1483, 8996, 3090, 2861, 1374, 2609, 547, 1711, 606, 8818, 602, 5654, 5432, 547, 519, 3593, 269, 5071, 619, 2813, 3593, 17103, 609, 3059, 8060, 602, 11696, 1194, 741, 2168, 13413, 547, 1118, 873, 811, 16022, 269, 2290, 540, 519, 3056, 16895, 945, 723, 6131, 2933, 547, 519, 1353, 540, 3308, 8226, 267, 6276, 18582, 5459, 267, 6045, 875, 713, 3070, 2306, 621, 2009, 547, 1118, 2962, 609, 3615, 538, 513, 834, 2908, 257, 2230, 811, 7525, 269, 769, 2259, 267, 676, 2870, 513, 3308, 543, 10512, 16133, 267, 1004, 723, 1044, 4547, 6251, 547, 606, 1604, 602, 789, 1131, 6382, 723, 2808, 1932, 4411, 543, 11397, 563, 306, 651, 340, 31532, 4564, 9228, 968, 3530, 867, 1734, 31865, 3615, 4171, 3337, 5267, 946, 543, 13352, 938, 2067, 7664, 540, 3615, 267, 855, 538, 513, 3059, 1158, 912, 19859, 7809, 5795, 8837, 513, 17953, 344, 12001, 4837, 6438, 6249, 267, 1247, 11197, 5189, 811, 7729, 340, 25806, 2326, 543, 10291, 883, 922, 18376, 543, 5985, 5665, 1062, 267, 18282, 543, 26088, 18312, 2326, 630, 19445, 3574, 8021, 543, 10853, 2985, 2389, 9506, 2360, 538, 519, 5467, 267, 476, 274, 8820, 7161, 609, 16302, 9212, 267, 4496, 5679, 10849, 609, 3946, 543, 8279, 899, 538, 476, 2004, 338, 2234, 3930, 267, 7252, 543, 3382, 538, 588, 17097, 16463, 267, 3092, 1862, 994, 2005, 729, 1152, 1310, 3755, 4121, 827, 519, 7729, 340, 25806, 1374, 602, 519, 811, 2442, 2511, 7444, 7960, 883, 513, 1166, 30568, 2511, 269, 634, 1158, 729, 4712, 547, 1118, 519, 20014, 547, 1447, 21055, 6786, 543, 1223, 1631, 5660, 519, 16134, 540, 513, 8766, 2065, 8818, 267, 543, 5397, 16134, 547, 12716, 1967, 563, 763, 834, 29788, 257, 2511, 28107, 519, 7287, 585, 3152, 10282, 538, 1374, 281, 519, 7287, 547, 26193, 15988, 1663, 748, 23732, 547, 1445, 593, 519, 1543, 676, 14874, 476, 274, 8820, 2609, 543, 519, 7050, 946, 540, 18707, 267, 18282, 543, 5007, 20224, 282, 2519, 593, 1462, 4919, 10659, 267, 2609, 543, 6366, 4778, 563, 273, 8820, 3615, 616, 4443, 547, 4558, 543, 759, 1125, 1369, 17841, 6272, 602, 4336, 547, 1114, 5496, 610, 11422, 7306, 267, 7550, 609, 519, 4417, 540, 519, 5985, 1357, 563, 763, 22122, 1063, 519, 7729, 340, 25806, 543, 4234, 6163, 568, 556, 1740, 539, 538, 5616, 781, 7698, 5071, 630, 1001, 275, 5148, 799, 5916, 519, 1655, 3334, 540, 7729, 340, 31532, 543, 25065, 5071, 267, 556, 11529, 543, 5355, 873, 563, 300, 1468, 5071, 267, 1175, 899, 538, 7729, 340, 31532, 267, 3217, 922, 1374, 6667, 689, 1483, 3734, 3615, 855, 1281, 711, 5299, 873, 4625, 281, 898, 568, 6273, 676, 519, 2168, 3344, 602, 2285, 3615, 513, 2631, 540, 3337, 543, 3178, 971, 607, 20224, 267, 8279, 267, 3989, 8728, 267, 2681, 7648, 543, 824, 585, 519, 4070, 540, 519, 3059, 2609, 269, 5616, 781, 1007, 2511, 12346, 593, 519, 10282, 540, 6366, 1374, 267, 855, 519, 2609, 13789, 607, 538, 1483, 1272, 563, 1607, 3773, 3693, 540, 1106, 543, 3178, 2636, 721, 547, 1374, 8924, 543, 4609, 602, 4431, 811, 6923, 547, 3755, 262, 20932, 543, 723, 22150, 28241, 3270, 269, 20305, 666, 3362, 10646, 519, 2694, 540, 513, 7698, 5071, 30892, 602, 616, 7317, 543, 11979, 1175, 676, 3168, 693, 621, 563, 303, 6974, 543, 8892, 3955, 5865, 454, 268, 20429, 14871, 28497, 630, 309, 21397, 994, 5522, 520, 13257, 899, 11184, 328, 267, 5616, 19608, 267, 543, 5981, 320, 616, 930, 1806, 540, 966, 308, 3674, 269, 634, 1292, 5413, 540, 891, 3457, 2636, 585, 1360, 5347, 543, 10853, 5872, 543, 14828, 3755, 811, 1852, 936, 741, 1604, 1510, 519, 991, 547, 9308, 2170, 609, 513, 3926, 563, 268, 5794, 30123, 675, 1852, 454, 3674, 513, 2029, 602, 2636, 596, 547, 1852, 5907, 3457, 609, 17267, 267, 1100, 991, 547, 5905, 513, 5905, 8470, 610, 824, 3403, 3926, 269, 4595, 519, 6855, 267, 972, 814, 1044, 513, 1390, 4308, 540, 3007, 547, 17103, 602, 2154, 8766, 3346, 269, 634, 2640, 540, 5794, 30123, 675, 1852, 1331, 7525, 5872, 543, 1852, 267, 543, 3152, 2168, 543, 3059, 10333, 563, 268, 4119, 7757, 18712, 630, 2752, 994, 2752, 11160, 906, 519, 1483, 8996, 1604, 676, 4946, 20533, 610, 5691, 829, 24632, 1570, 3842, 2780, 24378, 3403, 267, 13321, 3615, 538, 938, 1604, 883, 606, 7317, 3059, 1995, 269, 898, 814, 9450, 883, 513, 3099, 540, 6080, 1519, 3782, 267, 10685, 267, 11080, 267, 9913, 267, 24756, 267, 9235, 267, 2069, 267, 1374, 543, 1082, 811, 563, 268, 14044, 18712, 630, 23623, 994, 29919, 4641, 3091, 513, 1007, 1995, 676, 10451, 513, 476, 274, 8820, 5841, 1604, 602, 568, 8268, 543, 609, 799, 606, 1367, 25998, 269, 634, 5691, 1604, 568, 4843, 538, 513, 1259, 602, 2306, 519, 3593, 1745, 607, 952, 621, 941, 513, 1483, 1604, 563, 268, 14464, 11106, 630, 9590, 994, 9590, 814, 519, 2702, 547, 1589, 267, 1451, 543, 1685, 4247, 8238, 558, 3585, 281, 621, 16137, 689, 1480, 2623, 538, 519, 2796, 540, 922, 10450, 563, 268, 11020, 8950, 28497, 630, 289, 5746, 994, 9827, 1634, 607, 513, 1463, 8849, 8818, 610, 2634, 2173, 22389, 8818, 267, 568, 513, 1907, 602, 2636, 513, 1268, 630, 615, 2634, 264, 547, 5968, 609, 513, 1062, 630, 534, 5007, 2029, 1040, 3026, 584, 976, 538, 938, 12058, 6494, 543, 4309, 6786, 689, 824, 8229, 2281, 269, 1452, 11409, 3132, 2634, 6329, 267, 799, 7500, 519, 1062, 693, 519, 8818, 267, 2634, 10687 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14203, 3337, 607, 1134, 607, 824, 6724, 269, 13129, 9832, 585, 5033, 523, 2079, 2164, 723, 1044, 5892, 3964, 676, 519, 2622, 2657, 9257, 630, 5408, 7305, 476, 272, 264, 907, 7490, 3142, 1022, 1991, 5033, 523, 2079, 2164, 547, 707, 3643, 269, 5901, 538, 2247, 602, 711, 782, 20682, 20647, 538, 5033, 523, 2079, 4152, 543, 513, 10956, 2079, 949, 581, 2838, 693, 519, 942, 540, 707, 3643, 269, 898, 568, 25368, 547, 17712, 664, 689, 26697, 585, 476, 273, 268, 274, 2395, 1991, 547, 707, 3643, 538, 2013, 513, 10956, 2079, 568, 2838, 269, 1403, 596, 4782, 4429, 288, 6874, 3663, 3013, 1923, 5240, 1299, 5455, 30098, 1923, 14825, 730, 12054, 523, 5811, 585, 10960, 7248, 7159, 976, 1923, 5457, 621, 20231, 3323, 609, 513, 590, 11279, 2336, 3722, 290, 7838, 3722, 312, 910, 590, 11279, 13066, 666, 581, 20979, 547, 11694, 12680, 3928, 676, 2348, 513, 811, 4977, 1505, 540, 5033, 523, 2079, 269, 1879, 546, 3151, 676, 18776, 1947, 7763, 850, 590, 11279, 538, 1880, 972, 568, 513, 2647, 2039, 540, 13260, 1063, 1114, 32130, 543, 1063, 1114, 10070, 540, 519, 1482, 21696, 269, 634, 1627, 342, 1731, 13425, 12814, 7108, 8308, 6589, 585, 891, 7648, 543, 2636, 519, 3593, 547, 5965, 13066, 9935, 269, 769, 930, 2665, 811, 24482, 2138, 850, 14203, 949, 581, 2877, 547, 1711, 606, 5688, 320, 9570, 269, 769, 824, 2665, 596, 949, 1205, 811, 13066, 982, 4397, 689, 513, 6793, 552, 329, 659, 3634, 269, 769, 2901, 2013, 267, 519, 9570, 786, 2270, 519, 2953, 2179, 540, 14203, 4758, 596, 519, 2702, 547, 5386, 19820, 707, 546, 3151, 9072, 269, 2201, 519, 1394, 1439, 2348, 4977, 10866, 6513, 786, 1450, 596, 547, 3950, 14203, 2298, 8390, 689, 1114, 32130, 1310, 519, 5033, 523, 568, 6905, 543, 5924, 22799, 269, 7763, 1006, 2530, 666, 1287, 581, 20039, 585, 7157, 538, 519, 3355, 546, 3151, 1184, 269, 3371, 568, 513, 4052, 1383, 689, 5153, 327, 2033, 7605, 650, 731, 4429, 11847, 1238, 322, 2225, 543, 10727, 540, 7368, 5033, 523, 9382, 538, 5256, 4891, 540, 1016, 325, 1068, 850, 15185, 283, 2483, 31159, 910, 808, 21788, 269, 570, 272, 910, 3115, 1238, 322, 2225, 543, 10727, 540, 7368, 5033, 523, 9382, 538, 5256, 4891, 540, 1016, 325, 1068, 850, 15185, 269, 22847, 910, 2274, 2313, 7572, 267, 661, 907, 22847, 910, 8709, 3541, 6008, 1122, 267, 808, 15030, 907, 22847, 910, 6008, 999, 267, 623, 907, 22847, 910, 1234, 6137, 267, 590, 907, 22847, 910, 645, 1601, 8500, 339, 267, 623, 8160, 8160, 907, 22847, 910, 2349, 1678, 18315, 267, 631, 6993, 907, 22847, 910, 20703, 267, 645, 12282, 907, 22847, 910, 8709, 3541, 966, 8696, 267, 674, 907, 22847, 910, 13067, 6647, 267, 623, 14371, 6993, 907, 623, 312, 910, 476, 1001, 271, 269, 962, 272, 910, 476, 1001, 271, 269, 772, 273, 910, 476, 1015, 269, 6200, 277, 10768, 8807, 1068, 333, 560, 1068, 269, 1001, 271, 269, 6734, 269, 28512, 269, 11298, 910, 476, 1015, 269, 6200, 277, 10768, 8807, 1068, 333, 560, 1068, 269, 1001, 271, 269, 6734, 269, 28512, 269, 631, 274, 910, 9137, 269, 595, 273, 910, 476, 14225, 30130, 4366, 269, 966, 299, 910, 476, 11463, 269, 9501, 910, 476, 28091, 272, 269, 21768, 910, 476, 28091, 276, 269, 808, 302, 910, 674, 19910, 543, 28238, 1006, 269, 808, 293, 910, 674, 19910, 543, 28238, 1006, 269, 19301, 910, 476, 9826, 276, 268, 271, 2764, 273, 269, 4959, 910, 476, 278, 269, 18317, 910, 4429, 1432, 568, 513, 12054, 523, 5811, 888, 288, 5033, 523, 2079, 568, 513, 1455, 1101, 1449, 1031, 547, 6218, 513, 544, 753, 12680, 269, 634, 1449, 5654, 693, 5033, 523, 6724, 1519, 14203, 1293, 267, 2138, 1006, 267, 543, 19916, 563, 27717, 14623, 1979, 990, 550, 675, 667, 14397, 3091, 5256, 5033, 523, 2079, 547, 3589, 10285, 1072, 1923, 6885, 3562, 18191, 3253, 4318, 340, 454, 763, 19519, 2861, 2754, 23607, 19697, 267, 13058, 267, 14203, 710, 543, 1525, 710, 543, 3091, 513, 1449, 6539, 602, 666, 581, 544, 9229, 693, 19355, 2837, 269, 12054, 523, 2079, 689, 476, 3199, 2635, 2367, 9907, 476, 2537, 547, 476, 6812, 1296, 4951, 602, 19697, 5834, 538, 5033, 523, 17379, 676, 3368, 689, 2085, 476, 736, 547, 476, 1789, 543, 7930, 2417, 2394, 519, 476, 2004, 625, 267, 6466, 519, 19842, 2566, 15262, 476, 279, 18038, 11770, 1372, 20293, 7666, 534, 27343, 630, 279, 910, 27846, 323, 294, 264, 7930, 2799, 269, 634, 2754, 568, 1759, 593, 15624, 7616, 907, 21208, 651, 328, 4437, 1774, 577, 3377, 5305, 267, 5239, 476, 1724, 267, 476, 1001, 278, 269, 4429, 293, 3641, 1923, 12054, 523, 5811, 1341, 595, 787, 641, 637, 3569, 14173, 1923, 16362, 5623, 539, 454, 763, 693, 1753, 14203, 2079, 6539, 602, 3947, 596, 10531, 12680, 2164, 7132, 835, 1032, 540, 4859, 269, 25547, 633, 2978, 2275, 1068, 1881, 5033, 523, 2079, 2164, 1369, 476, 272, 269, 276, 2395, 543, 2327, 519, 4027, 540, 707, 12680, 585, 607, 1279, 607, 596, 991, 609, 5439, 6740, 538, 938, 1533, 6361, 7308, 19603, 9744, 563, 19185, 3564, 12054, 523, 5811, 607, 513, 15262, 585, 22503, 674, 19910, 910, 3220, 3474, 592, 918, 10620, 344, 541, 454, 21132, 1419, 2352, 547, 8930, 1524, 519, 1483, 2014, 540, 5256, 26983, 607, 519, 4879, 540, 519, 5256, 7649, 3788, 11658, 547, 5033, 523, 2079, 543, 513, 3339, 1867, 568, 1031, 547, 4341, 5256, 2188, 856, 269, 3509, 540, 891, 18106, 569, 11117, 2367, 543, 15185, 666, 4324, 689, 2417, 7634, 540, 519, 5256, 7649, 267, 799, 711, 1152, 7498, 306, 18779, 5811, 281, 2353, 1411, 10261, 1677, 5700, 6168, 590, 11279, 9732, 21598, 21832, 306, 454, 288, 5033, 523, 2079, 568, 513, 1360, 1271, 1875, 29554, 10368, 1449, 1031, 547, 6218, 5256, 12680, 543, 1058, 581, 835, 540, 519, 1101, 13753, 585, 513, 7008, 454, 306, 18779, 5811, 543, 674, 23459, 288, 573, 585, 9093, 1923, 674, 23459, 288, 573, 454, 293, 19910, 4966, 7447, 602, 5256, 3815, 26983, 568, 547, 16620, 538, 909, 547, 476, 2004, 260, 540, 15185, 7680, 12680, 2152, 269, 1306, 513, 1267, 267, 1082, 15185, 1265, 621, 5393, 5363, 585, 519, 5256, 7649, 547, 10929, 513, 3102, 5033, 523, 2079, 693, 519, 9998, 1129, 540, 3843, 547, 32230, 7965, 563, 306, 18779, 5811, 17943, 281, 1215, 4706, 667, 821, 267, 1548, 898, 21474, 454, 9596, 1018, 547, 2503, 1282, 5033, 523, 2079, 267, 1519, 875, 621, 781, 2944, 267, 1018, 14203, 1293, 568, 3339, 267, 543, 1018, 4523, 952, 707, 2164, 616, 9402, 563, 306, 18779, 5811, 11968, 13353, 1299, 5842, 12770, 910, 590, 11279, 4530, 1923, 634, 570, 675, 330, 18669, 454, 7804, 269, 6754, 570, 675, 330, 2488, 3573, 5033, 523, 2079, 585, 2550, 602, 616, 10010, 609, 26983, 269, 13555, 634, 570, 675, 330, 18669, 547, 1451, 811, 563, 306, 18779, 5811, 910, 20279, 267, 29255, 910, 769, 990, 328, 674, 19910, 1299, 21834, 4659, 454, 2252, 596, 723, 1044, 28336, 538, 6379, 609, 707, 7649, 267, 5033, 523, 2079, 949, 581, 513, 5650, 596, 1058, 2015, 547, 8275, 707, 12680, 3853, 563, 306, 18779, 5811, 281, 1548, 568, 898, 267, 29243, 621, 1280, 267, 1215, 568, 898, 667, 821, 454, 306, 18779, 2079, 568, 513, 4015, 540, 4255, 1031, 547, 2901, 547, 2708, 513, 544, 753, 12680, 630, 1464, 547, 32230, 264, 610, 6166, 519, 1967, 540, 513, 21729, 26618, 563, 306, 18779, 5811, 910, 2473, 11920, 267, 8423, 3122, 268, 1122, 326, 11579, 8896, 22368, 20698, 10044, 715, 580, 3241, 267, 11404, 454, 4263, 3600, 659, 1470, 674, 19910, 15544, 267, 3220, 269, 20574, 3600, 659, 1470, 3091, 5033, 523, 2079, 267, 1535, 11920, 267, 8423, 3122, 268, 1122, 326, 11579, 8896, 22368, 1325, 529, 334, 966, 773, 14765, 267, 20698, 10044, 22193, 267, 20698, 10044, 715, 580, 3241, 267, 17030, 966, 773, 14765, 543, 645, 5474, 7615, 563, 306, 18779, 2079, 1867, 2829, 1250, 9393, 814, 1768, 520, 5622, 345, 657, 704, 8926, 454, 15916, 16362, 267, 1250, 9393, 814, 2944, 513, 5033, 523, 2079, 547, 723, 1010, 12680, 13761, 543, 891, 616, 519, 2164, 267, 666, 596, 948, 803, 1174, 873, 286, 5843, 2675, 8084, 454, 18933, 268, 24907, 273, 570, 1503, 2917, 7392, 590, 11279, 10866, 8890, 10045, 270, 572, 5443, 5811, 3590, 270, 30570, 12054, 523, 8890, 10045, 910, 16179, 4210, 268, 24907, 273, 570, 1503, 2917, 7392, 590, 11279, 2483, 18933, 268, 24907, 273, 570, 1503, 2917, 7392, 590, 11279, 10866, 8890, 10045, 270, 572, 5443, 5811, 3590, 270, 30570, 12054, 523, 8890, 10045, 2073, 4855, 13159, 19672, 827, 4210, 268, 24907, 273, 570, 1503, 2917, 7392, 590, 11279, 10866, 8890, 10045, 270, 572, 5443, 5811, 3590, 270, 30570, 12054, 523, 8890, 10045, 267, 18933, 268, 24907, 273, 570, 1503, 2917, 7392, 590, 11279, 10866, 8890, 10045, 267, 306, 18779, 5811, 3590, 267, 32747, 12054, 523, 8890, 10045, 689, 11202, 1670, 5811, 4982, 760, 906, 4675, 17067, 610, 13583, 25033, 11219, 21628, 24175, 5842, 933, 6481, 3163, 1656, 5303, 3213, 1421, 13456, 563, 14110, 3201, 308, 9569, 5508, 631, 3201, 292, 5442, 29052, 2316, 299, 14510, 15760, 590, 4932, 2894, 589, 2793, 14877, 306, 3041, 910, 1715, 16593, 10001, 293, 454, 306, 18779, 5811, 2882, 2079, 540, 14203, 269, 589, 15185, 2702, 547, 32230, 568, 22991, 9619, 676, 6313, 1312, 519, 4775, 7649, 543, 519, 5256, 7649, 269, 22503, 26983, 568, 8995, 3842, 1896, 1797, 543, 513, 5033, 523, 2079, 666, 1683, 513, 5763, 540, 1344, 827, 519, 12680, 540, 519, 5256, 7649, 907, 634, 5033, 523, 786, 3335, 581, 24565, 676, 519, 2298, 540, 519, 14203, 621, 11438, 267, 602, 2882, 14203, 1293, 267, 14203, 5834, 267, 14203, 19916, 267, 14203, 5027, 8699, 267, 543, 14203, 2138, 1006, 269, 12054, 523, 786, 849, 581, 7318, 585, 9063, 543, 4320, 269, 30027, 3585, 267, 824, 10368, 5773, 949, 849, 581, 5340, 269, 1452, 4255, 786, 16785, 883, 14203, 2504, 267, 4527, 540, 535, 28229, 3812, 676, 707, 25761, 5738, 2873, 267, 543, 17244, 971, 607, 552, 329, 659, 17419, 13811, 25518, 543, 1427, 5766, 8565, 552, 329, 659, 1637, 907, 634, 10629, 949, 849, 8495, 519, 4527, 540, 30126, 513, 15605, 657, 704, 8926, 267, 513, 1455, 2783, 2919, 676, 9038, 8995, 609, 2166, 10973, 27470, 267, 799, 1223, 581, 17527, 14203, 3560, 3842, 519, 21729, 1219, 699, 985, 907, 4429, 32391, 540, 1449, 7781, 2860, 538, 2367, 609, 9402, 5033, 523, 4162, 281, 20165, 1353, 1923, 634, 22720, 297, 454, 2171, 5532, 1344, 593, 782, 2367, 538, 15185, 609, 12680, 2042, 945, 1185, 513, 5033, 523, 2079, 2944, 693, 519, 590, 11279, 5811, 12524, 538, 10515, 32683, 1282, 476, 3422, 274, 268, 4817, 630, 333, 284, 3953, 476, 4510, 273, 264, 609, 1239, 538, 519, 20636, 9435, 3204, 3588, 267, 799, 6585, 1344, 593, 782, 2665, 540, 2860, 538, 519, 20636, 2551, 689, 476, 3707, 274, 547, 476, 1960, 276, 269, 1428, 9093, 945, 10272, 519, 8047, 585, 824, 4128, 630, 7945, 607, 5033, 523, 2079, 1310, 21729, 26618, 264, 941, 16934, 689, 519, 2079, 269, 634, 10515, 32683, 8047, 568, 835, 540, 1896, 1857, 5033, 523, 2079, 20682, 538, 16862, 543, 12116, 5033, 523, 5439, 6140, 689, 2367, 538, 519, 1858, 540, 10515, 32683, 269, 9093, 616, 5219, 547, 519, 16758, 676, 2489, 9439, 543, 579, 6331, 1235, 267, 543, 519, 13753, 616, 6976, 585, 998, 519, 1857, 1072, 1062, 269, 9093, 609, 2860, 1354, 519, 4266, 540, 5033, 523, 2079, 941, 16934, 269, 1280, 2367, 945, 1185, 2789, 5033, 523, 4255, 1152, 741, 1101, 1449, 729, 1031, 538, 519, 2079, 269, 6684, 267, 1152, 519, 1101, 2860, 5868, 538, 513, 2016, 812, 729, 3769, 538, 519, 2079, 269, 634, 2409, 1031, 585, 2079, 540, 5033, 523, 4429, 305, 719, 710, 12054, 523, 5811, 454, 2467, 616, 1082, 7740, 543, 2978, 541, 582, 1559, 267, 1256, 593, 519, 1357, 267, 602, 2709, 5033, 523, 2079, 269, 1717, 267, 5225, 4063, 602, 1082, 7740, 798, 711, 1685, 513, 3102, 2079, 267, 6028, 856, 930, 1883, 4255, 610, 6724, 602, 1223, 581, 2629, 538, 8159, 519, 1697, 543, 4977, 5868, 540, 513, 2550, 1966, 610, 7411, 269, 8409, 22475, 610, 6703, 602, 2709, 5033, 523, 2079, 2533, 936, 519, 5769, 3668, 519, 2556, 5033, 523, 695, 23124, 543, 2347, 1620, 540, 782, 3741, 3238, 547, 2709, 596, 267, 519, 3461, 267, 519, 2010, 540, 4267, 602, 596, 616, 3168, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 568, 711, 835, 14100, 4280, 269, 968, 3674, 13317, 1143, 519, 2990, 585, 519, 1609, 337, 6548, 28346, 337, 538, 13317, 1143, 835, 610, 6560, 286, 6100, 3627, 4591, 869, 599, 540, 519, 31767, 5980, 543, 26450, 749, 744, 961, 2006, 941, 1079, 8037, 5640, 945, 6659, 519, 1482, 2243, 269, 4256, 6114, 547, 621, 3177, 1114, 12496, 827, 14100, 779, 6436, 543, 4555, 269, 4591, 869, 599, 779, 1257, 968, 288, 8074, 593, 1325, 1329, 566, 892, 729, 3370, 538, 8466, 7698, 1143, 476, 1960, 278, 269, 898, 5267, 602, 972, 1079, 2596, 4485, 547, 1620, 32238, 269, 3689, 267, 13317, 1143, 568, 513, 7121, 540, 3615, 602, 7985, 689, 3425, 269, 1717, 267, 2034, 267, 32238, 568, 513, 2783, 799, 2636, 585, 16637, 1581, 3206, 269, 1261, 4797, 547, 1533, 602, 972, 568, 606, 3606, 7664, 269, 898, 568, 968, 2254, 513, 2783, 2507, 621, 779, 513, 6024, 6560, 6100, 1261, 2829, 602, 14100, 779, 960, 593, 1609, 337, 6548, 4074, 814, 606, 936, 31186, 2239, 602, 11363, 519, 2956, 547, 1174, 32238, 538, 2474, 952, 2534, 269, 12462, 288, 8074, 827, 1325, 1329, 566, 5608, 3627, 4591, 869, 599, 282, 476, 15704, 1040, 1261, 11099, 602, 32238, 568, 2965, 606, 2534, 543, 519, 28346, 337, 5932, 621, 1369, 16851, 269, 13317, 568, 8200, 2390, 4074, 269, 968, 2704, 1329, 566, 1281, 711, 2291, 538, 1362, 6560, 269, 898, 568, 519, 6560, 547, 1118, 3854, 2291, 1848, 630, 288, 8074, 593, 1325, 1329, 566, 267, 3627, 4591, 869, 599, 1070, 476, 16825, 269, 4591, 869, 599, 779, 3070, 547, 13317, 1143, 779, 1523, 540, 32238, 543, 922, 10700, 1439, 3804, 540, 8757, 513, 771, 531, 1329, 566, 1533, 568, 538, 1010, 3409, 602, 968, 4134, 531, 1329, 566, 814, 1934, 1631, 892, 538, 1010, 6228, 607, 1202, 889, 15453, 960, 267, 711, 1152, 1369, 267, 610, 1996, 3854, 269, 901, 568, 513, 16609, 1935, 547, 32238, 269, 901, 2070, 540, 32238, 17648, 711, 1152, 602, 972, 568, 513, 2104, 602, 786, 711, 581, 4299, 676, 32238, 267, 855, 849, 602, 519, 605, 2280, 30353, 814, 519, 2702, 543, 18515, 547, 694, 704, 622, 689, 16851, 538, 1931, 585, 621, 547, 2887, 269, 4591, 869, 599, 568, 1603, 689, 513, 17979, 5133, 538, 713, 2463, 267, 2094, 4591, 869, 599, 779, 7664, 540, 968, 292, 1598, 6548, 8534, 892, 4625, 5337, 2803, 519, 1483, 6560, 540, 519, 605, 2280, 30353, 269, 898, 568, 513, 1062, 602, 632, 16058, 3278, 267, 1821, 531, 1132, 267, 855, 3947, 873, 519, 1797, 547, 2661, 269, 1306, 513, 4759, 610, 513, 1895, 540, 519, 536, 28123, 12251, 773, 267, 621, 568, 711, 10853, 547, 8263, 602, 606, 1367, 1058, 581, 2111, 547, 2285, 909, 2596, 3354, 543, 6228, 563, 289, 1068, 749, 744, 961, 2006, 3705, 1206, 14100, 779, 968, 292, 1598, 6548, 4074, 892, 8335, 269, 1261, 5784, 32238, 3079, 607, 513, 2783, 602, 568, 1459, 538, 519, 1459, 855, 799, 666, 581, 7753, 538, 942, 269, 744, 961, 2006, 12116, 519, 605, 2280, 30353, 779, 2783, 998, 519, 561, 1619, 540, 513, 2564, 21658, 563, 2108, 2704, 1329, 566, 267, 1510, 930, 1702, 540, 1018, 519, 2104, 26992, 786, 3142, 267, 3788, 513, 1065, 25209, 602, 3112, 2479, 581, 5587, 1881, 1848, 13207, 2130, 2576, 7210, 568, 513, 17083, 540, 1249, 267, 711, 606, 6268, 602, 12346, 593, 1022, 3544, 4441, 563, 13436, 2507, 14100, 849, 29102, 606, 6418, 6935, 1063, 796, 531, 1329, 566, 543, 32238, 269, 968, 763, 7869, 540, 1325, 1329, 566, 5608, 26450, 749, 744, 961, 2006, 476, 274, 1070, 2829, 602, 972, 568, 1100, 3544, 3044, 547, 9794, 32238, 269, 634, 1523, 540, 32238, 666, 1406, 581, 2808, 513, 6560, 269, 898, 1590, 581, 2938, 607, 513, 2783, 269, 1261, 5170, 547, 2491, 519, 2360, 540, 32238, 593, 782, 2043, 538, 513, 3854, 2065, 4346, 267, 2436, 789, 581, 536, 28123, 12251, 773, 267, 605, 2280, 30353, 610, 605, 2280, 30353, 269, 744, 961, 2006, 2829, 602, 519, 13317, 2065, 12512, 779, 9813, 908, 543, 26568, 2175, 616, 1360, 4049, 543, 666, 581, 14603, 269, 744, 961, 2006, 849, 2798, 856, 602, 31356, 949, 711, 723, 6603, 519, 1533, 540, 21481, 602, 1131, 1450, 873, 547, 5963, 3802, 2476, 269, 4591, 869, 599, 779, 3069, 568, 711, 6462, 676, 744, 961, 2006, 269, 744, 961, 2006, 6799, 519, 1439, 540, 513, 1062, 540, 32238, 543, 1609, 9792, 618, 811, 5702, 547, 14100, 779, 16555, 593, 968, 292, 1598, 6548, 4074, 892, 676, 19163, 585, 4004, 1143, 547, 581, 519, 2318, 16637, 775, 540, 782, 1609, 9792, 618, 563, 295, 4772, 599, 779, 7664, 540, 14100, 779, 1257, 568, 1454, 20501, 982, 14100, 779, 267, 6679, 519, 7450, 547, 513, 1582, 30928, 543, 5059, 17748, 540, 519, 6364, 540, 13317, 1143, 779, 16637, 775, 269, 8625, 891, 5931, 2285, 513, 2312, 4605, 540, 519, 1699, 3510, 3823, 519, 32238, 610, 2783, 540, 4074, 269, 901, 2079, 2982, 602, 519, 2104, 543, 23812, 540, 4004, 1143, 607, 606, 16809, 568, 693, 7196, 269, 4634, 1498, 621, 779, 1034, 26363, 267, 519, 2856, 602, 972, 779, 1100, 1544, 585, 519, 5912, 540, 513, 13317, 626, 2229, 547, 513, 19797, 1533, 568, 5310, 5906, 269, 898, 568, 2009, 585, 4004, 1143, 547, 2887, 952, 972, 568, 1100, 1544, 610, 1062, 540, 10350, 1369, 513, 19797, 2486, 269, 901, 814, 1044, 7152, 538, 2699, 15581, 3624, 267, 543, 519, 28268, 269, 589, 19797, 1062, 1510, 513, 5693, 3989, 2619, 568, 7925, 547, 1373, 24057, 3497, 543, 23699, 585, 3673, 1143, 269, 1809, 267, 513, 2312, 7664, 540, 7869, 540, 661, 1598, 6548, 8534, 568, 519, 1101, 1463, 1900, 2509, 2680, 7081, 540, 513, 771, 531, 14314, 19797, 3557, 1759, 593, 5126, 269, 769, 6254, 8103, 267, 7862, 269, 0, 307, 516, 3901, 617, 2670, 533, 3385, 590, 777, 328, 21583, 2598, 10603, 7942, 327, 1019, 681, 636, 1695, 8000, 784, 670, 1168, 534, 28763, 1575, 22760, 2494, 758, 342, 926, 11330, 1231, 328, 14466, 7699, 4446, 520, 570, 3918, 21316, 7495, 5308, 3041, 5442, 590, 6369, 308, 21203, 9898, 3633, 29640, 26950, 2464, 5442, 631, 3198, 10498, 310, 2752, 296, 681, 9680, 27301, 312, 9474, 2969, 15674, 7644, 11550, 309, 21201, 5508, 654, 12239, 623, 4338, 308, 288, 454, 14611, 9137, 12474, 454, 307, 516, 3901, 617, 2670, 568, 835, 540, 2804, 2068, 3361, 676, 21431, 26220, 689, 1895, 540, 1726, 3901, 1712, 543, 741, 3892, 1336, 7839, 593, 3484, 543, 13184, 269, 901, 1353, 729, 2832, 547, 3313, 519, 9860, 267, 3892, 267, 543, 1981, 3815, 540, 1726, 3901, 617, 2670, 538, 13184, 538, 2494, 758, 342, 926, 267, 4639, 14466, 7699, 705, 16201, 597, 269, 5530, 729, 5342, 593, 4728, 2394, 2904, 476, 1001, 279, 269, 18610, 3732, 28797, 941, 3144, 689, 476, 4200, 3032, 14782, 829, 6439, 531, 538, 2494, 758, 342, 926, 705, 16201, 597, 609, 1625, 1842, 633, 10386, 1505, 269, 27842, 8947, 609, 19288, 543, 11159, 566, 14842, 1505, 547, 2697, 519, 6228, 540, 4212, 1726, 3901, 1712, 1759, 593, 741, 19916, 269, 7066, 3901, 617, 2670, 9860, 5833, 676, 7421, 1239, 538, 796, 21725, 267, 543, 536, 21725, 2079, 1031, 547, 4983, 1726, 3901, 617, 2670, 1981, 3815, 676, 16584, 30026, 1449, 630, 286, 273, 264, 543, 12918, 5223, 630, 3036, 1040, 634, 2949, 1726, 3901, 617, 2670, 9860, 538, 13184, 538, 2494, 758, 342, 926, 705, 16201, 597, 941, 476, 7367, 269, 7871, 9077, 609, 519, 1726, 3901, 1712, 1336, 941, 476, 4097, 269, 4097, 260, 674, 30913, 7637, 24094, 1421, 543, 476, 5655, 269, 5655, 260, 20368, 874, 626, 558, 636, 24094, 269, 20530, 529, 19397, 2188, 971, 607, 3023, 543, 4005, 941, 711, 19250, 1713, 7681, 630, 303, 285, 271, 269, 4962, 264, 609, 1726, 3901, 617, 2670, 9860, 540, 12418, 538, 2494, 758, 342, 926, 705, 16201, 597, 269, 1717, 267, 972, 729, 513, 19250, 1129, 604, 656, 7681, 540, 1726, 3901, 617, 2670, 9860, 1063, 2085, 1895, 630, 303, 283, 271, 269, 4962, 1070, 609, 12918, 32311, 476, 273, 269, 4200, 277, 269, 11485, 3815, 602, 1404, 513, 1909, 538, 519, 11841, 540, 1726, 3901, 617, 2670, 568, 519, 2085, 540, 13184, 936, 1079, 1296, 563, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 476, 275, 269, 271, 4139, 17821, 0, 14157, 4754, 3996, 723, 2141, 1044, 513, 1641, 540, 22906, 543, 4250, 1813, 547, 741, 25713, 15564, 25378, 543, 16160, 2470, 269, 1323, 3742, 18962, 568, 513, 17027, 5250, 602, 666, 1118, 922, 4527, 1634, 538, 519, 1034, 23292, 6073, 267, 4929, 7839, 9552, 269, 3683, 476, 4335, 3742, 22747, 723, 1044, 4857, 5001, 267, 1082, 540, 873, 4092, 538, 29822, 20651, 4525, 267, 4946, 513, 4494, 540, 8594, 547, 741, 7915, 14734, 17965, 269, 901, 2022, 786, 2263, 519, 1283, 5216, 3742, 22747, 602, 616, 2808, 1761, 6937, 547, 1480, 1272, 1813, 547, 741, 2534, 543, 4087, 563, 8139, 26439, 3996, 1656, 4256, 21784, 338, 454, 14157, 4754, 3996, 616, 1419, 9228, 607, 4190, 10239, 267, 855, 519, 3020, 2470, 540, 891, 17027, 21272, 568, 2484, 689, 32668, 269, 1323, 3742, 18962, 568, 3989, 607, 835, 602, 814, 30192, 538, 519, 2250, 476, 1015, 267, 1822, 1296, 543, 568, 2693, 547, 21074, 1586, 269, 634, 6937, 15054, 676, 891, 2067, 581, 1335, 16251, 5749, 1406, 1175, 3908, 547, 23419, 8928, 282, 789, 849, 1331, 14686, 7510, 549, 743, 2880, 8928, 267, 561, 1695, 1513, 630, 14179, 4754, 545, 16095, 6503, 338, 1070, 11849, 12269, 267, 543, 15027, 9362, 602, 666, 723, 17672, 2360, 593, 1480, 1072, 543, 8134, 563, 763, 2360, 540, 513, 15027, 20349, 593, 519, 1604, 543, 1480, 1272, 666, 581, 3573, 269, 700, 6072, 8928, 543, 11849, 2887, 719, 666, 6861, 5989, 267, 543, 519, 5305, 540, 6757, 9362, 666, 1118, 519, 4478, 2127, 796, 514, 4725, 3386, 269, 2201, 513, 3677, 4336, 267, 519, 5305, 540, 15027, 11849, 883, 519, 5790, 666, 1860, 2518, 2916, 3270, 267, 1247, 8101, 26706, 666, 9594, 20016, 600, 529, 543, 2014, 18229, 10898, 563, 30874, 26439, 3996, 1656, 4256, 16511, 725, 454, 30874, 22747, 616, 4122, 1336, 2059, 29684, 6676, 6302, 267, 2523, 1472, 519, 7414, 23580, 540, 9605, 267, 513, 3148, 21214, 519, 5032, 338, 540, 5607, 267, 3345, 3013, 267, 543, 3162, 3013, 269, 634, 10923, 3892, 540, 891, 3742, 22747, 1797, 789, 10460, 1761, 6937, 547, 519, 6634, 540, 1004, 2713, 538, 741, 25610, 269, 4197, 741, 6753, 568, 2629, 585, 12570, 519, 4220, 2404, 609, 15027, 10898, 563, 300, 870, 26751, 12320, 3780, 267, 7977, 454, 300, 870, 26751, 12320, 3780, 267, 1634, 585, 922, 16160, 20349, 538, 476, 8064, 589, 6185, 269, 602, 3045, 8811, 23624, 519, 4936, 4872, 540, 25048, 701, 4512, 543, 4173, 1529, 2033, 636, 267, 568, 606, 3742, 18962, 602, 18795, 522, 2381, 3585, 2673, 547, 519, 2413, 2749, 540, 10878, 1255, 269, 2060, 513, 2551, 540, 936, 1614, 2929, 1004, 2713, 538, 922, 25610, 267, 519, 18962, 779, 1761, 585, 9552, 568, 5963, 27337, 4328, 269, 12207, 5702, 6895, 26751, 12320, 3780, 1813, 547, 922, 1686, 540, 23292, 26706, 543, 519, 1164, 2551, 5860, 1472, 519, 18962, 563, 11693, 922, 1686, 543, 4087, 267, 6778, 26751, 12320, 3780, 13514, 513, 1713, 3463, 547, 1480, 1272, 269, 6736, 7760, 538, 5464, 2029, 267, 17782, 519, 5730, 12557, 540, 513, 15027, 20349, 3788, 4101, 269, 4475, 267, 7041, 543, 4058, 616, 1898, 547, 11574, 519, 1761, 10898, 15054, 676, 713, 3742, 18962, 563, 300, 870, 18264, 3534, 267, 7977, 454, 300, 870, 18264, 3534, 267, 1776, 7969, 18962, 267, 568, 835, 540, 519, 1034, 3742, 22747, 538, 519, 1158, 269, 4706, 2834, 26706, 267, 1247, 3335, 711, 607, 21472, 607, 26751, 12320, 3780, 779, 267, 1869, 10460, 4220, 547, 519, 7404, 24558, 27482, 2551, 543, 666, 7519, 2011, 2951, 609, 922, 11849, 726, 6979, 269, 634, 23419, 8928, 689, 6778, 18264, 3534, 666, 2014, 1713, 3959, 3441, 267, 4352, 789, 2356, 1847, 7444, 2614, 585, 1004, 547, 17355, 10663, 563, 15987, 18264, 3534, 779, 26706, 616, 3622, 1447, 10795, 982, 26751, 12320, 3780, 779, 267, 789, 616, 811, 7928, 269, 18264, 3534, 11199, 14186, 12303, 1169, 1032, 267, 3006, 4929, 1713, 17522, 547, 519, 4478, 4525, 543, 519, 9962, 11335, 1858, 269, 6736, 519, 6937, 15054, 676, 6778, 18264, 3534, 267, 922, 26706, 616, 849, 513, 8289, 547, 1531, 1245, 267, 1818, 621, 513, 2442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 476, 1948, 25001, 8745, 13286, 952, 1003, 13843, 476, 275, 454, 21955, 263, 313, 3266, 19667, 1707, 13286, 267, 8745, 13286, 2187, 825, 1820, 2891, 13286, 729, 17411, 10590, 2020, 258, 26244, 2358, 9868, 454, 11133, 815, 703, 9272, 2891, 11767, 513, 2318, 1297, 281, 27328, 604, 1003, 2999, 476, 271, 912, 476, 6318, 1401, 4003, 2891, 28989, 267, 1100, 2942, 2338, 32405, 343, 815, 834, 31435, 257, 476, 1948, 24597, 7392, 13286, 9868, 454, 604, 711, 1826, 3287, 264, 568, 703, 912, 476, 6318, 7392, 13286, 2891, 18744, 9981, 616, 4847, 10590, 2020, 0, 258, 296, 614, 1807, 538, 9226, 568, 606, 1843, 602, 568, 1031, 547, 621, 4733, 936, 12055, 762, 3615, 899, 8638, 267, 8913, 1255, 267, 9598, 338, 267, 543, 5036, 563, 258, 763, 12055, 1807, 1843, 568, 3355, 1242, 1210, 519, 12055, 3890, 1505, 269, 3097, 258, 2005, 3096, 519, 1985, 3890, 1505, 585, 21767, 780, 258, 2414, 1820, 782, 519, 2609, 540, 1592, 1210, 538, 321, 16742, 12055, 1807, 454, 331, 272, 17342, 272, 267, 273, 267, 274, 267, 275, 2639, 3438, 762, 318, 28128, 815, 12055, 10857, 272, 994, 6112, 6936, 912, 825, 2119, 912, 1038, 3693, 815, 1985, 263, 3438, 762, 318, 28128, 994, 1038, 1820, 16216, 2211, 994, 825, 4849, 17547, 296, 614, 566, 912, 1038, 2736, 692, 258, 2414, 1820, 782, 519, 26627, 27664, 5022, 540, 513, 5569, 454, 1598, 272, 6889, 13900, 299, 334, 1937, 331, 291, 4840, 328, 28128, 284, 3438, 19304, 272, 994, 6112, 6936, 912, 825, 2119, 912, 1038, 3693, 815, 1985, 9217, 28128, 994, 1038, 952, 3693, 18994, 21639, 10031, 2018, 1820, 16216, 2211, 994, 825, 4849, 17547, 296, 614, 566, 912, 1038, 2736, 692, 258, 594, 614, 908, 936, 8675, 22322, 323, 815, 27835, 320, 9166, 272, 10086, 321, 9166, 273, 10086, 322, 9166, 274, 8679, 328, 28128, 284, 3438, 5560, 994, 6112, 6936, 912, 825, 2119, 912, 1038, 1883, 815, 1985, 9217, 28128, 994, 1038, 1820, 31107, 2437, 14307, 323, 314, 4486, 7481, 825, 4849, 17547, 296, 614, 566, 912, 1038, 2736, 692, 258, 8620, 606, 12055, 1807, 602, 7024, 1101, 476, 1015, 1256, 2338, 454, 5035, 1256, 912, 476, 1219, 6449, 3438, 9191, 1345, 2187, 825, 1582, 18502, 815, 476, 273, 454, 825, 2132, 1582, 692, 476, 1219, 6449, 10113, 9191, 1345, 2187, 825, 952, 1582, 18502, 10922, 476, 736, 912, 8587, 1535, 815, 1582, 18502, 454, 8587, 1582, 18502, 6834, 476, 273, 454, 8587, 2132, 1535, 454, 825, 3116, 912, 8587, 6318, 17547, 296, 614, 566, 692, 3240, 5035, 815, 1256, 4590, 3240, 3438, 815, 12055, 30044, 5035, 994, 2745, 2891, 10214, 2338, 281, 5602, 1721, 1535, 538, 1250, 3438, 912, 476, 1820, 3287, 264, 0, 5814, 11885, 607, 5286, 454, 258, 301, 17056, 5044, 1038, 454, 258, 263, 322, 11661, 267, 8161, 532, 29679, 997, 532, 2944, 5892, 2020, 258, 296, 614, 566, 454, 1551, 815, 5286, 15126, 31912, 275, 267, 278, 3910, 1496, 280, 267, 272, 316, 8079, 567, 1948, 30185, 936, 2609, 540, 476, 273, 5937, 5044, 454, 1721, 1535, 538, 2855, 912, 476, 1820, 3287, 2020, 1721, 1535, 538, 2855, 281, 8931, 476, 585, 586, 538, 1535, 281, 2018, 1948, 30185, 936, 22185, 2609, 540, 5044, 454, 825, 1820, 12169, 2020, 258, 526, 3438, 3890, 568, 513, 4543, 1599, 602, 666, 581, 1031, 689, 1360, 2596, 547, 1360, 4359, 23200, 563, 1721, 1535, 538, 5286, 269, 526, 3438, 19906, 2187, 476, 1820, 3287, 2020, 258, 641, 5091, 18196, 4661, 543, 1780, 621, 519, 4397, 3611, 520, 4286, 547, 1689, 519, 3611, 520, 4286, 540, 2609, 1247, 12055, 908, 563, 258, 19617, 13695, 1281, 711, 1689, 519, 1239, 1826, 540, 519, 3693, 538, 268, 2897, 630, 3602, 519, 3693, 568, 538, 5044, 264, 865, 621, 2115, 930, 824, 2230, 547, 1685, 713, 2962, 563, 258, 6546, 3063, 2230, 568, 1572, 17280, 267, 543, 538, 1931, 547, 5512, 621, 538, 26998, 3438, 3890, 649, 1780, 17514, 284, 9131, 321, 4428, 1229, 262, 6540, 1721, 1535, 538, 5286, 269, 526, 3438, 19906, 267, 17514, 284, 9131, 321, 4428, 1229, 28710, 1566, 5091, 18196, 284, 9131, 306, 11172, 2187, 476, 1820, 3287, 2020, 258, 296, 614, 908, 2060, 7756, 5153, 12025, 454, 1721, 1535, 538, 5286, 269, 526, 3438, 19906, 18020, 26012, 273, 316, 2187, 476, 1820, 3287, 2020, 258, 2690, 4994, 540, 519, 3693, 1247, 12055, 908, 267, 519, 26998, 523, 636, 4733, 3890, 1505, 666, 581, 1031, 563, 1721, 7329, 343, 267, 1535, 538, 5286, 269, 526, 523, 636, 4733, 19906, 2187, 476, 1820, 263, 30915, 267, 1535, 2020, 258, 2411, 692, 258, 13825, 1456, 11885, 14249, 692, 258, 30084, 540, 14249, 568, 5293, 602, 649, 1616, 547, 6443, 547, 519, 6677, 22760, 622, 3890, 1599, 267, 2059, 609, 519, 7852, 269, 3097, 1551, 272, 815, 5286, 15126, 31912, 272, 267, 476, 273, 3910, 1496, 274, 267, 476, 275, 316, 7481, 1551, 273, 815, 5286, 15126, 31912, 276, 267, 476, 277, 3910, 1496, 278, 267, 476, 279, 316, 7481, 1551, 815, 5286, 26769, 13906, 523, 622, 9230, 1551, 272, 267, 2855, 273, 4297, 825, 1948, 9471, 284, 271, 454, 2745, 19906, 994, 1551, 815, 5286, 26769, 13906, 523, 622, 9230, 1551, 272, 267, 2855, 273, 1070, 7852, 284, 272, 994, 2745, 19906, 2020, 258, 1805, 22326, 568, 1482, 607, 6677, 22760, 566, 267, 519, 1152, 3017, 568, 602, 10518, 532, 568, 2944, 2059, 513, 1007, 7852, 563, 1551, 815, 5286, 14714, 871, 9230, 1551, 272, 267, 2855, 273, 1070, 7852, 284, 272, 994, 2745, 19906, 994, 1551, 815, 5286, 19544, 23637, 9230, 1551, 272, 267, 2855, 273, 4297, 567, 1948, 23637, 2059, 4737, 454, 2745, 19906, 994, 1551, 815, 5286, 18192, 23637, 9230, 1551, 272, 267, 2855, 273, 4297, 825, 1948, 23637, 2059, 6241, 454, 2745, 19906, 994, 1551, 815, 5286, 6155, 23637, 9230, 1551, 272, 267, 2855, 273, 4297, 825, 1948, 23637, 2059, 4463, 5560, 3704, 994, 2745, 19906, 2020, 258, 1366, 8894, 258, 306, 5902, 1154, 11885, 5044, 454, 258, 6783, 5334, 5902, 3890, 585, 24590, 14249, 267, 649, 1780, 621, 519, 5044, 649, 1616, 547, 8237, 543, 519, 1297, 540, 10943, 1080, 692, 1551, 815, 5286, 15126, 31912, 272, 267, 476, 273, 3910, 1496, 274, 267, 476, 275, 3910, 1496, 276, 267, 476, 277, 3910, 1496, 278, 267, 476, 279, 3910, 1496, 280, 267, 476, 1015, 3910, 1496, 1556, 267, 476, 1321, 316, 7481, 2908, 1551, 815, 5286, 15126, 5334, 5902, 19906, 267, 476, 274, 994, 2745, 28956, 1551, 994, 2908, 1551, 815, 5286, 15126, 5334, 5902, 19906, 267, 476, 274, 267, 7852, 284, 272, 264, 567, 1948, 20889, 2059, 519, 4737, 630, 9471, 284, 272, 994, 2745, 28956, 1551, 994, 2908, 1551, 815, 5286, 19544, 20889, 19906, 267, 476, 273, 264, 825, 1948, 20889, 2059, 9343, 454, 2745, 28956, 1551, 2020, 258, 1366, 454, 258, 15507, 532, 14249, 692, 258, 14142, 1256, 2418, 454, 1551, 815, 5286, 15126, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 7481, 343, 815, 5286, 269, 3602, 19906, 260, 273, 2652, 476, 271, 994, 2745, 3287, 264, 567, 1948, 2745, 30455, 692, 258, 14142, 338, 9285, 3890, 799, 15824, 513, 9352, 3406, 538, 519, 5044, 267, 543, 7024, 519, 4994, 1141, 519, 9138, 1871, 1131, 581, 17332, 547, 2226, 519, 3406, 1931, 563, 258, 763, 3406, 338, 9285, 3890, 1505, 568, 10924, 547, 581, 1031, 593, 15044, 14249, 563, 343, 815, 5286, 269, 14142, 338, 9285, 19906, 267, 476, 278, 994, 2745, 3287, 2020, 258, 1366, 734, 454, 258, 306, 15659, 692, 1551, 815, 5286, 15126, 8443, 12148, 267, 8771, 267, 6936, 7481, 2745, 18828, 31699, 19906, 11723, 1551, 815, 5286, 15126, 31912, 272, 267, 273, 3910, 1496, 276, 267, 476, 275, 316, 7481, 2745, 18828, 31699, 19906, 11723, 258, 1366, 454, 258, 23742, 18146, 454, 258, 288, 1630, 18978, 4994, 1592, 568, 513, 1592, 540, 1630, 1961, 753, 7222, 547, 30455, 538, 519, 5044, 780, 258, 1729, 6882, 1256, 2338, 689, 1592, 454, 1551, 815, 5286, 15126, 8443, 5780, 267, 10602, 267, 3451, 267, 9032, 267, 1321, 7481, 16344, 614, 318, 1551, 815, 29129, 1721, 3693, 538, 2855, 912, 476, 952, 3693, 4939, 273, 2652, 271, 912, 825, 6882, 318, 1551, 6910, 263, 12148, 994, 476, 3116, 912, 825, 6882, 318, 1551, 6910, 263, 16178, 2020, 2908, 1551, 815, 2855, 314, 16344, 614, 318, 1551, 6540, 2745, 6600, 559, 614, 318, 1551, 994, 2745, 28956, 1551, 2020, 258, 322, 11661, 6882, 5044, 2047, 454, 1551, 815, 5286, 15126, 8443, 5780, 267, 10602, 267, 3451, 267, 9032, 267, 1321, 7481, 16344, 614, 318, 1551, 815, 2855, 4939, 476, 273, 2652, 476, 271, 454, 2908, 1551, 815, 2855, 314, 16344, 614, 318, 1551, 2639, 2745, 6600, 559, 614, 318, 1551, 994, 2745, 28956, 1551, 264, 0, 258, 28605, 8193, 281, 29031, 293, 268, 279, 20609, 8894, 5814, 11885, 607, 5286, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 29635, 369, 489, 29219, 454, 825, 513, 815, 5286, 30784, 1052, 263, 1321, 994, 825, 536, 815, 513, 454, 825, 1820, 513, 568, 536, 454, 825, 536, 17482, 815, 630, 274, 267, 275, 994, 825, 1820, 513, 17482, 454, 825, 1820, 7329, 5416, 994, 825, 1820, 7329, 6357, 2020, 825, 1948, 1613, 263, 418, 369, 483, 418, 489, 371, 420, 368, 507, 994, 825, 1948, 7329, 476, 21251, 13601, 420, 485, 368, 8147, 27729, 476, 21251, 13601, 420, 485, 368, 8147, 12916, 484, 16533, 365, 15159, 29219, 13601, 420, 485, 368, 454, 825, 524, 815, 513, 269, 1613, 4590, 825, 1820, 524, 568, 513, 454, 825, 524, 17482, 815, 630, 273, 267, 277, 994, 825, 1820, 513, 17482, 454, 825, 524, 314, 271, 267, 275, 316, 815, 476, 11277, 275, 454, 825, 1820, 513, 454, 825, 1820, 7329, 5416, 994, 825, 1820, 7329, 6262, 2020, 825, 1948, 5299, 27818, 418, 371, 365, 418, 489, 371, 420, 368, 507, 24724, 454, 825, 1948, 7329, 476, 21251, 13601, 420, 485, 368, 8147, 27729, 476, 21251, 13601, 420, 485, 368, 8147, 29219, 18263, 509, 21251, 13601, 420, 485, 368, 454, 825, 546, 815, 513, 6983, 4878, 4590, 825, 1820, 546, 568, 513, 454, 825, 546, 314, 271, 267, 274, 316, 815, 476, 15886, 454, 825, 1820, 513, 454, 825, 1820, 7329, 5416, 994, 825, 1820, 7329, 6262, 2020, 19638, 19638, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 568, 835, 4829, 602, 1394, 538, 519, 1554, 649, 31025, 827, 267, 524, 3072, 936, 267, 5206, 827, 267, 543, 1034, 4277, 569, 267, 17696, 269, 898, 729, 3388, 269, 898, 568, 1869, 2027, 269, 898, 779, 835, 4829, 594, 666, 1406, 1205, 936, 269, 594, 3314, 267, 607, 513, 4819, 267, 4189, 865, 1454, 540, 621, 267, 602, 1100, 835, 543, 4986, 1223, 5094, 621, 689, 803, 269, 2986, 1576, 267, 4849, 513, 7181, 13347, 269, 769, 713, 2376, 267, 649, 3580, 1491, 596, 998, 519, 1158, 540, 30392, 335, 1177, 267, 4543, 596, 3605, 782, 596, 1058, 917, 827, 713, 17681, 4829, 282, 11863, 803, 547, 1289, 621, 1250, 6689, 24807, 563, 303, 1177, 335, 1177, 568, 513, 4829, 7693, 609, 513, 1164, 2557, 540, 9422, 1871, 267, 596, 2731, 666, 1406, 4952, 269, 898, 2488, 8477, 267, 3940, 267, 11950, 267, 543, 6775, 538, 1100, 8792, 9424, 269, 623, 1177, 335, 1177, 814, 3893, 13907, 540, 1072, 2640, 269, 898, 24506, 707, 7872, 540, 2348, 2295, 2068, 267, 19228, 267, 543, 3987, 269, 623, 1177, 335, 1177, 3568, 6171, 595, 267, 799, 6411, 607, 606, 15934, 267, 4543, 547, 1832, 707, 2281, 689, 4742, 10032, 676, 5739, 6878, 1572, 1863, 18119, 269, 12192, 595, 568, 849, 1031, 585, 8108, 20018, 543, 7067, 16398, 269, 631, 22462, 3150, 267, 13101, 543, 824, 6886, 5749, 1406, 2451, 856, 269, 1703, 568, 513, 5458, 7274, 540, 891, 6886, 10057, 1142, 942, 596, 3548, 513, 7674, 540, 30392, 335, 1177, 4829, 269, 8000, 9914, 267, 849, 538, 30392, 335, 1177, 267, 16401, 525, 519, 1973, 2604, 2333, 3361, 676, 9770, 563, 303, 1177, 335, 1177, 814, 1044, 1031, 585, 5553, 538, 12563, 4915, 585, 922, 9354, 543, 16392, 3601, 269, 898, 729, 1634, 607, 513, 2101, 4829, 799, 1004, 10057, 538, 1804, 7274, 269, 769, 1249, 267, 30392, 335, 1177, 2960, 729, 1031, 607, 513, 3068, 11547, 269, 623, 1177, 335, 1177, 814, 1082, 16392, 3601, 269, 7111, 11317, 540, 3162, 3013, 723, 585, 5553, 1031, 30392, 335, 1177, 547, 10826, 1114, 3676, 563, 303, 1177, 335, 1177, 729, 849, 4294, 1283, 1227, 585, 519, 7067, 540, 11912, 267, 588, 902, 267, 30919, 267, 543, 17236, 269, 634, 796, 686, 701, 30392, 335, 1177, 4829, 814, 1044, 1031, 547, 2539, 1973, 2604, 543, 1256, 607, 606, 21428, 549, 4134, 13519, 269, 623, 1177, 335, 1177, 5452, 941, 1031, 585, 782, 22074, 540, 519, 9667, 1062, 269, 1656, 519, 3039, 3762, 540, 30392, 335, 1177, 941, 1031, 538, 513, 1297, 540, 4025, 538, 5607, 547, 1118, 7401, 267, 607, 789, 5156, 621, 547, 723, 8825, 3601, 1996, 13663, 269, 634, 3762, 941, 849, 2848, 3139, 543, 10057, 899, 513, 10448, 543, 1031, 607, 513, 10826, 585, 7181, 1928, 269, 634, 5072, 849, 2408, 547, 723, 1387, 2471, 545, 3527, 543, 941, 3006, 10057, 6151, 538, 7401, 563, 12441, 596, 917, 602, 22691, 30392, 335, 9155, 1152, 2063, 585, 1079, 610, 1614, 2395, 693, 4055, 2837, 286, 2913, 779, 979, 3533, 547, 1865, 621, 779, 1072, 2640, 269, 594, 6557, 11235, 547, 798, 865, 2907, 269, 594, 6557, 2386, 596, 666, 1406, 7227, 547, 1224, 873, 1932, 563, 19119, 540, 623, 1177, 335, 1177, 454, 303, 1177, 335, 1177, 25994, 20121, 5797, 29318, 543, 595, 675, 20509, 338, 540, 32035, 454, 303, 1177, 335, 1177, 19754, 4551, 543, 24515, 5563, 971, 607, 588, 20942, 19905, 543, 13687, 7578, 563, 303, 1177, 335, 1177, 11087, 806, 519, 11485, 540, 9435, 454, 303, 1177, 335, 1177, 7472, 513, 5144, 344, 18682, 799, 3568, 21449, 4094, 514, 269, 3600, 564, 4094, 514, 11151, 2860, 2281, 689, 3395, 538, 519, 1560, 563, 303, 1177, 335, 1177, 2776, 24000, 28544, 454, 8133, 267, 621, 1281, 267, 607, 1134, 607, 2921, 1416, 540, 2960, 2042, 269, 14856, 513, 30392, 335, 1177, 3232, 786, 10804, 519, 10172, 1184, 543, 949, 1118, 596, 1413, 5722, 1296, 7820, 982, 596, 2731, 616, 269, 898, 568, 3638, 538, 6171, 595, 267, 6171, 661, 543, 14434, 899, 12498, 21307, 582, 2940, 799, 2061, 707, 2960, 689, 1863, 3441, 267, 5329, 32060, 543, 824, 4191, 540, 10172, 693, 15922, 563, 2005, 779, 20509, 539, 609, 12192, 595, 454, 8256, 11167, 30392, 335, 1177, 2337, 519, 1560, 10307, 269, 623, 1177, 335, 1177, 3568, 14434, 1317, 621, 3568, 6171, 595, 4249, 513, 3810, 1271, 1909, 538, 5329, 707, 2281, 2635, 543, 707, 4761, 1062, 2178, 269, 898, 786, 948, 707, 1560, 10110, 930, 1898, 6886, 971, 607, 4401, 543, 7513, 563, 303, 1177, 335, 1177, 661, 1162, 9093, 11584, 531, 10266, 454, 3086, 267, 713, 568, 1434, 3377, 585, 519, 8951, 269, 623, 1177, 335, 1177, 568, 1390, 585, 1004, 7092, 689, 18492, 1928, 1317, 3568, 13099, 664, 269, 901, 2337, 538, 15725, 543, 1574, 532, 2095, 1282, 18492, 5712, 269, 27355, 1406, 30392, 335, 1177, 1175, 513, 29593, 1782, 888, 303, 1177, 335, 1177, 30205, 338, 16332, 640, 454, 7312, 4761, 1062, 3947, 3527, 607, 513, 13104, 547, 1585, 5563, 602, 666, 4440, 1118, 596, 2731, 7210, 269, 623, 1177, 335, 1177, 3568, 811, 982, 476, 1220, 260, 540, 3232, 4170, 540, 6171, 595, 267, 1818, 621, 1390, 585, 707, 12046, 563, 303, 1177, 335, 1177, 589, 1749, 6226, 3878, 454, 2005, 568, 28125, 547, 1265, 1004, 267, 891, 2395, 267, 10438, 3536, 799, 616, 711, 15028, 585, 741, 9667, 1949, 269, 1280, 3236, 267, 7050, 6981, 540, 11041, 949, 711, 723, 4652, 7037, 4093, 269, 3767, 1934, 779, 519, 1434, 3377, 281, 8617, 4616, 540, 30392, 335, 1177, 666, 2953, 891, 9667, 2042, 1317, 621, 814, 513, 9667, 11747, 1634, 607, 13099, 664, 2059, 609, 6775, 799, 2337, 2087, 707, 9667, 1072, 269, 5808, 9327, 1406, 2648, 30392, 335, 1177, 267, 2731, 888, 2005, 8871, 4925, 22458, 12618, 454, 303, 1177, 335, 1177, 568, 513, 2706, 8665, 585, 5009, 4552, 2208, 1317, 621, 568, 2500, 585, 4509, 2635, 4552, 269, 898, 3568, 6171, 589, 799, 568, 2556, 585, 519, 2504, 540, 694, 321, 636, 267, 513, 7623, 602, 568, 26837, 22239, 3730, 585, 5329, 519, 4552, 5347, 267, 16517, 267, 21743, 543, 5848, 28962, 269, 4208, 711, 3548, 30392, 335, 1177, 547, 1205, 602, 10694, 4552, 596, 4076, 2141, 5551, 888, 303, 1177, 335, 1177, 568, 4279, 585, 13379, 6513, 454, 5970, 596, 1044, 3168, 585, 602, 3501, 4829, 547, 948, 596, 6336, 2597, 286, 6733, 1100, 2417, 267, 30392, 335, 9155, 616, 1175, 3501, 585, 596, 563, 303, 1177, 335, 1177, 8899, 619, 932, 7995, 454, 8133, 267, 713, 568, 1776, 5863, 4324, 540, 30392, 335, 1177, 267, 621, 1281, 2539, 8501, 269, 623, 1177, 335, 9155, 616, 3638, 538, 20249, 6171, 595, 543, 15934, 799, 948, 2061, 8501, 19221, 538, 519, 16209, 269, 1403, 972, 779, 4430, 8501, 538, 519, 1560, 267, 519, 16209, 666, 581, 17808, 267, 543, 602, 949, 2014, 513, 2295, 3441, 269, 623, 1177, 335, 1177, 2306, 519, 1628, 5346, 540, 8501, 538, 519, 16209, 7543, 563, 15124, 16685, 590, 697, 454, 303, 1177, 335, 9155, 616, 3638, 538, 6171, 589, 267, 5329, 519, 29935, 17011, 538, 519, 3750, 2635, 267, 7303, 1022, 1106, 540, 3441, 563, 20055, 21079, 519, 12186, 540, 13262, 454, 5475, 2324, 782, 1554, 267, 23928, 609, 513, 4584, 513, 6676, 540, 30392, 335, 1177, 1131, 581, 513, 1390, 2856, 1317, 621, 779, 3638, 538, 1114, 5567, 971, 607, 6171, 595, 799, 2337, 547, 2569, 519, 2360, 540, 2566, 563, 2005, 13363, 338, 1996, 16164, 28100, 454, 2080, 779, 1776, 835, 596, 8910, 2648, 269, 623, 1177, 335, 1177, 666, 948, 707, 2960, 1413, 10694, 543, 32249, 269, 12192, 595, 543, 11430, 19817, 2940, 1459, 538, 519, 1560, 2149, 519, 2960, 543, 949, 2539, 519, 4191, 540, 10172, 267, 711, 1152, 602, 267, 707, 2960, 786, 1205, 602, 22023, 626, 1043, 16657, 269, 1548, 3116, 286, 898, 23352, 896, 31378, 4158, 10580, 1317, 621, 568, 513, 2067, 6926, 2286, 8665, 267, 865, 621, 2337, 32135, 2960, 32396, 563, 306, 1938, 12186, 593, 623, 1177, 335, 1177, 454, 303, 1177, 335, 1177, 814, 3893, 930, 2427, 2360, 596, 2731, 1058, 917, 269, 898, 568, 693, 713, 1448, 596, 3605, 952, 596, 2461, 547, 6443, 938, 30392, 335, 1177, 27805, 563, 12441, 596, 917, 286, 3117, 11167, 513, 2603, 540, 30392, 335, 9155, 1522, 13347, 707, 16063, 1062, 267, 543, 621, 666, 2014, 606, 13347, 7181, 269, 13018, 267, 1934, 616, 7181, 2152, 606, 7050, 4616, 540, 30392, 335, 9155, 666, 2014, 563, 268, 853, 6729, 1928, 454, 268, 2806, 12645, 25574, 454, 6701, 972, 2859, 17121, 12186, 888, 763, 4527, 540, 6775, 689, 519, 2960, 540, 30392, 335, 1177, 1223, 8886, 622, 707, 7181, 267, 6028, 596, 609, 930, 11552, 848, 563, 303, 1177, 335, 9155, 666, 2014, 32396, 540, 519, 2960, 267, 1818, 621, 2408, 899, 835, 814, 795, 16184, 823, 563, 303, 1177, 335, 1177, 949, 711, 581, 15028, 547, 8808, 11299, 543, 12256, 563, 303, 1177, 335, 1177, 568, 711, 513, 4829, 585, 1004, 7092, 689, 13487, 4713, 269, 634, 1459, 540, 13099, 664, 538, 30392, 335, 1177, 568, 1634, 547, 3500, 1524, 519, 2557, 540, 26470, 267, 29083, 9025, 2175, 563, 3086, 596, 917, 282, 30392, 335, 9155, 616, 782, 18707, 540, 15813, 267, 607, 789, 1683, 2640, 602, 616, 4440, 3564, 707, 6788, 269, 6423, 782, 519, 5863, 2640, 538, 713, 835, 4829, 256, 1548, 616, 596, 7996, 585, 286, 4208, 711, 10544, 3054, 513, 30392, 335, 1177, 1318, 1631, 286, 5457, 547, 2671, 609, 2576, 267, 9493, 1695, 286, 1684, 3314, 547, 2671, 519, 3095, 547, 713, 2376, 1932, 269, 15526, 814, 513, 1072, 5413, 547, 2972, 607, 789, 3548, 713, 2706, 4829, 269, 1284, 1413, 4464, 547, 2542, 707, 16499, 23888, 269, 0, 1103, 476, 3192, 278, 267, 519, 2136, 8315, 4139, 10985, 593, 26521, 1996, 7087, 7377, 2827, 538, 519, 17113, 4280, 547, 5372, 19090, 4303, 609, 7087, 24447, 262, 4303, 269, 769, 476, 1960, 271, 267, 3162, 21241, 2968, 519, 1101, 1533, 547, 798, 865, 543, 538, 476, 1960, 273, 267, 20588, 267, 2836, 604, 1421, 519, 1101, 2749, 269, 4595, 1287, 267, 811, 2829, 543, 4872, 723, 4553, 563, 29378, 4658, 538, 9628, 454, 7212, 13325, 543, 9628, 723, 2943, 547, 798, 865, 267, 713, 1032, 9628, 5398, 12140, 568, 14120, 7087, 24447, 262, 4303, 2864, 982, 19090, 4303, 593, 5239, 476, 1321, 7064, 547, 519, 960, 543, 17933, 540, 2199, 6107, 3906, 15616, 9539, 725, 15272, 7027, 23463, 10741, 513, 1007, 6885, 4139, 7087, 15272, 7027, 267, 10741, 513, 1007, 6885, 543, 12054, 25022, 586, 14780, 1182, 267, 10741, 513, 1007, 6885, 563, 27455, 11760, 618, 538, 11450, 609, 519, 1977, 4095, 4741, 912, 763, 9628, 5398, 7732, 568, 4092, 593, 519, 2757, 4630, 601, 1343, 540, 519, 7027, 540, 519, 8422, 674, 2231, 281, 519, 744, 329, 756, 933, 267, 13095, 11867, 267, 543, 8000, 1177, 520, 23449, 8315, 269, 3509, 824, 11031, 971, 607, 519, 24543, 267, 14208, 16644, 6064, 267, 9093, 558, 710, 324, 267, 15762, 267, 543, 16737, 849, 1572, 713, 1858, 1753, 269, 634, 3148, 814, 1279, 1044, 513, 4099, 585, 7087, 1004, 547, 5531, 267, 4123, 267, 543, 2226, 737, 29023, 13218, 269, 4653, 267, 835, 540, 519, 4102, 4683, 1977, 4095, 2950, 538, 519, 2136, 2276, 29084, 538, 9628, 269, 16840, 540, 713, 2146, 3136, 547, 3565, 547, 519, 1272, 540, 713, 2749, 543, 547, 8661, 741, 6561, 267, 2259, 5389, 267, 543, 1416, 585, 519, 2244, 543, 25825, 563, 9596, 811, 827, 519, 2833, 540, 7087, 9082, 538, 891, 2835, 563, 2304, 7087, 24447, 262, 3778, 540, 519, 2136, 2276, 281, 1703, 616, 936, 476, 4335, 10480, 518, 958, 6444, 7111, 1977, 11031, 538, 519, 2136, 2276, 2221, 269, 769, 713, 1433, 267, 14787, 543, 19191, 681, 2135, 22828, 14480, 8663, 14114, 4135, 714, 6645, 519, 2197, 781, 1686, 689, 519, 5133, 540, 922, 7087, 9082, 563, 4462, 18976, 6243, 281, 769, 476, 8146, 271, 267, 519, 772, 2529, 269, 2229, 7142, 519, 8851, 540, 7111, 4892, 547, 11182, 7178, 540, 519, 14967, 5211, 269, 4014, 1767, 547, 581, 513, 19493, 5692, 267, 5215, 540, 7111, 4892, 4503, 741, 22590, 267, 3338, 543, 2729, 936, 519, 1985, 8717, 563, 306, 2869, 527, 14840, 281, 769, 1010, 26813, 17728, 267, 519, 5067, 540, 11204, 11082, 16976, 547, 6443, 7087, 543, 7111, 1977, 28359, 538, 513, 31939, 689, 14522, 547, 30188, 563, 10111, 787 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6270, 19260, 616, 11911, 547, 30333, 543, 4719, 32739, 269, 9182, 267, 12216, 779, 1382, 814, 1044, 6322, 547, 1413, 585, 513, 3075, 3797, 547, 9004, 610, 693, 2547, 2270, 15799, 5250, 269, 589, 1360, 1395, 665, 30167, 2070, 540, 519, 1966, 563, 2467, 616, 849, 2090, 11021, 602, 589, 29967, 15799, 5250, 3112, 581, 519, 1152, 1966, 267, 2899, 649, 666, 1265, 2025, 1004, 267, 609, 513, 1164, 1377, 540, 15799, 5250, 267, 945, 1397, 513, 1360, 1434, 2790, 8516, 563, 5719, 10879, 11001, 6424, 16176, 18484, 693, 519, 2160, 540, 16506, 6913, 606, 11141, 1353, 602, 2055, 15799, 5250, 607, 513, 1395, 665, 30167, 2014, 538, 1010, 865, 10777, 562, 684, 1353, 267, 538, 799, 513, 2698, 540, 476, 277, 4281, 562, 12584, 9907, 1063, 476, 10602, 543, 476, 11793, 15548, 563, 2690, 1896, 1296, 16176, 6577, 729, 4847, 547, 1449, 741, 2790, 5759, 543, 1310, 741, 2669, 267, 547, 4983, 519, 12058, 3168, 585, 4191, 540, 12110, 269, 634, 27314, 1267, 281, 2368, 12058, 540, 562, 12584, 945, 941, 267, 2394, 2025, 2085, 267, 15508, 3514, 267, 3742, 543, 1459, 1360, 1434, 3965, 4951, 782, 519, 4191, 540, 4049, 12216, 779, 12110, 630, 10175, 589, 29967, 29693, 13196, 2567, 1546, 10879, 3942, 476, 277, 630, 517, 519, 1234, 529, 6199, 4336, 476, 272, 1107, 476, 278, 1040, 1809, 875, 1223, 602, 4755, 888, 13010, 267, 519, 27690, 2934, 540, 12216, 779, 2068, 630, 600, 2643, 1355, 29693, 13196, 543, 5778, 325, 2320, 16736, 8126, 956, 1107, 23088, 264, 666, 581, 1336, 1082, 1296, 1354, 519, 4098, 540, 519, 2589, 269, 6270, 20209, 1878, 1291, 547, 1082, 1114, 29622, 3843, 547, 1265, 513, 2014, 547, 5084, 824, 982, 12556, 630, 2102, 2045, 610, 30333, 1916, 309, 12637, 543, 9190, 5563, 723, 1044, 16143, 2094, 519, 2038, 476, 736, 628, 2540, 547, 581, 513, 2009, 9594, 540, 12110, 269, 5843, 6921, 807, 538, 519, 2634, 540, 12110, 2550, 941, 4362, 607, 2038, 607, 476, 4489, 280, 269, 1452, 2281, 538, 519, 9424, 9571, 972, 1152, 2049, 896, 1978, 2175, 281, 12077, 267, 1282, 6553, 2336, 28074, 2663, 267, 538, 476, 1220, 275, 267, 3220, 269, 8845, 9741, 543, 9164, 11567, 2436, 1978, 4551, 630, 324, 3052, 269, 669, 31779, 807, 264, 1223, 7654, 581, 519, 2014, 540, 12216, 779, 12110, 563, 763, 1699, 1382, 2164, 2303, 602, 1256, 952, 513, 2634, 3968, 609, 14471, 568, 711, 519, 24254, 2680, 538, 519, 5778, 12949, 14003, 602, 7475, 609, 12216, 779, 2068, 267, 855, 8806, 606, 2309, 2065, 3262, 540, 519, 19800, 547, 606, 2907, 8697, 1418, 267, 971, 5563, 949, 1134, 24395, 622, 610, 17108, 519, 1646, 540, 519, 2068, 563, 4322, 2090, 2303, 602, 519, 2241, 4527, 540, 29693, 13196, 538, 519, 2634, 568, 711, 519, 1152, 2014, 540, 5084, 269, 634, 4296, 1590, 4061, 581, 3818, 2275, 30167, 543, 621, 568, 1271, 711, 547, 1589, 1586, 538, 6986, 7816, 6127, 543, 711, 547, 2322, 782, 1648, 543, 2724, 883, 519, 16392, 27072, 540, 29693, 13196, 267, 855, 547, 2243, 1018, 568, 2469, 865, 4636, 267, 1757, 958, 543, 1062, 1227, 267, 602, 811, 543, 811, 1004, 15069, 2887, 2192, 269, 1548, 2306, 938, 1560, 1062, 547, 581, 865, 796, 29446, 267, 602, 519, 20344, 540, 519, 2634, 2127, 568, 1100, 3476, 2009, 888, 31416, 6553, 5526, 547, 723, 513, 12242, 1599, 281, 2201, 835, 1688, 621, 4249, 513, 5778, 23181, 633, 1909, 1282, 606, 8650, 25686, 3210, 267, 855, 593, 519, 824, 1688, 621, 3587, 17672, 950, 513, 5312, 3210, 568, 15427, 269, 26590, 6553, 568, 513, 1134, 28004, 8878, 1996, 3968, 267, 13802, 267, 543, 5945, 267, 855, 950, 513, 17522, 538, 519, 11466, 540, 4550, 13611, 543, 605, 13611, 15202, 4386, 267, 607, 2938, 538, 5084, 267, 621, 2164, 538, 5312, 6553, 563, 19859, 6921, 807, 616, 519, 17055, 4761, 2281, 1369, 519, 3844, 8401, 1062, 630, 290, 10064, 1040, 769, 513, 2635, 2634, 267, 2890, 6921, 807, 616, 538, 606, 29680, 267, 968, 6135, 532, 892, 1533, 269, 7102, 3463, 547, 519, 595, 10064, 267, 971, 607, 12289, 267, 5945, 267, 610, 2068, 267, 5012, 547, 2890, 6921, 658, 11852, 609, 24466, 2242, 543, 9194, 547, 4299, 2127, 1369, 519, 2634, 269, 20048, 1227, 15181, 2890, 6921, 807, 267, 2705, 267, 5305, 513, 3099, 540, 605, 514, 11987, 543, 6757, 2472, 267, 1519, 19535, 5135, 2249, 267, 6491, 878, 12547, 267, 543, 29299, 563, 1103, 5084, 267, 621, 568, 32424, 602, 519, 3119, 9920, 540, 11852, 540, 2890, 6921, 807, 568, 519, 4527, 540, 589, 15512, 563, 8002, 17300, 2890, 6921, 807, 4431, 547, 589, 15512, 4611, 538, 9194, 547, 519, 29693, 13196, 543, 15632, 540, 943, 698, 26014, 2670, 630, 323, 652, 2315, 264, 540, 589, 15512, 269, 1717, 267, 1310, 12675, 5712, 267, 891, 2890, 6921, 807, 1831, 23762, 543, 616, 1100, 3476, 2111, 547, 1184, 589, 15512, 269, 1809, 789, 616, 1869, 6721, 543, 16089, 513, 1390, 2179, 540, 605, 514, 11987, 2472, 269, 901, 2164, 538, 606, 13250, 540, 589, 15512, 543, 13455, 605, 13611, 22270, 710, 15202, 799, 5956, 547, 3441, 8229, 2281, 563, 26589, 609, 2890, 6921, 807, 267, 4230, 24945, 5052, 543, 32361, 2281, 849, 3565, 547, 12982, 6114, 538, 519, 2634, 269, 2755, 4230, 24945, 5052, 616, 5631, 3238, 538, 4509, 27090, 1599, 267, 789, 616, 849, 1634, 547, 1199, 5573, 5778, 514, 25691, 676, 8391, 543, 7586, 4328, 12982, 6786, 689, 2890, 6921, 807, 269, 2549, 680, 2305, 540, 6553, 676, 4230, 24945, 5052, 7707, 839, 519, 5778, 1729, 13877, 1604, 269, 901, 13315, 513, 1582, 1790, 668, 7627, 4783, 540, 6553, 543, 27090, 2669, 267, 1256, 1310, 519, 15639, 540, 3355, 15128, 269, 901, 12982, 7271, 568, 32424, 547, 2014, 31895, 523, 3130, 543, 1305, 519, 5748, 540, 14715, 4713, 971, 607, 5084, 563, 1103, 1840, 547, 27690, 10689, 12201, 267, 5084, 568, 849, 27537, 676, 9402, 10894, 2242, 281, 3776, 2634, 568, 835, 540, 519, 7887, 7280, 6800, 538, 938, 1560, 269, 3502, 782, 2127, 540, 519, 2634, 616, 8200, 593, 7378, 267, 855, 2523, 538, 519, 28481, 25283, 267, 799, 568, 519, 1101, 547, 581, 4299, 676, 5084, 267, 7378, 4249, 513, 1909, 538, 7280, 19718, 269, 1403, 7378, 4187, 568, 1459, 267, 585, 1383, 538, 1826, 476, 273, 3987, 630, 19699, 268, 273, 1070, 1287, 621, 666, 581, 10924, 602, 519, 2634, 849, 23119, 689, 513, 9864, 1648, 10638, 269, 1306, 513, 1267, 267, 519, 8849, 2281, 616, 9207, 6269, 29736, 269, 901, 17615, 9207, 6269, 569, 666, 1256, 581, 9571, 1210, 9196, 2409, 630, 303, 4953, 11571, 1040, 1325, 345, 8583, 619, 2068, 814, 1044, 1419, 14013, 5219, 547, 607, 1826, 476, 274, 3987, 563, 5719, 920, 1078, 19548, 7280, 10307, 568, 1631, 2808, 513, 3982, 8984, 540, 519, 5084, 2634, 543, 519, 7681, 1063, 20336, 268, 273, 543, 5084, 568, 1134, 3964, 563, 19808, 1515, 906, 538, 2634, 7378, 15202, 723, 1044, 1336, 547, 1205, 24482, 8338, 607, 5084, 8441, 267, 7222, 547, 2799, 2157, 540, 26887, 1355, 30902, 543, 267, 538, 1880, 267, 5778, 514, 25691, 563, 11900, 6081, 4187, 602, 14340, 689, 20336, 268, 273, 568, 6069, 547, 8915, 689, 513, 12675, 267, 7646, 1533, 540, 6553, 9648, 1369, 15672, 5160, 269, 1520, 760, 846, 5160, 814, 1044, 3254, 547, 15313, 27104, 720, 543, 12954, 519, 21131, 540, 3875, 605, 514, 11987, 29299, 267, 1519, 570, 22143, 268, 10382, 267, 14889, 268, 272, 15512, 267, 543, 14889, 268, 277, 267, 799, 616, 1287, 3362, 7856, 2429, 519, 1964, 540, 519, 1560, 4929, 11528, 6553, 563, 19617, 2730, 2090, 723, 7152, 519, 9756, 1063, 15672, 6553, 543, 5042, 22907, 267, 3226, 609, 7646, 5042, 15717, 630, 300, 5746, 264, 543, 5084, 269, 7054, 637, 8826, 540, 519, 5169, 540, 6553, 267, 605, 514, 11987, 29299, 666, 3444, 519, 1973, 1532, 1778, 11064, 267, 799, 12153, 2634, 10391, 12982, 6114, 269, 3590, 545, 6553, 568, 849, 513, 3119, 2014, 540, 3441, 547, 519, 1973, 1532, 1778, 11064, 267, 3850, 7127, 540, 15672, 4761, 2281, 883, 519, 2634, 563, 763, 7271, 540, 27090, 7378, 4187, 5526, 547, 581, 2147, 609, 589, 15512, 23731, 12002, 1802, 1424, 2890, 6921, 658, 11852, 267, 799, 538, 2490, 13847, 3875, 605, 13611, 29299, 269, 1452, 1239, 616, 3246, 2963, 585, 6402, 1063, 7636, 11444, 543, 23020, 17244, 2404, 609, 12982, 6127, 3838, 1063, 12216, 779, 2068, 543, 3987, 22577, 563, 2691, 519, 1560, 779, 9431, 6127, 1100, 3476, 960, 267, 649, 1058, 1589, 538, 1950, 1949, 543, 2307, 2055, 827, 6197, 543, 2825, 2188, 269, 4208, 267, 585, 1383, 267, 519, 3815, 540, 6553, 4667, 547, 581, 865, 4143, 267, 607, 3254, 676, 519, 1382, 1895, 3366, 676, 3220, 269, 4793, 5062, 10481, 518, 630, 5408, 1657, 21663, 1809, 952, 5343, 725, 1404, 513, 4143, 1909, 267, 12582, 1406, 649, 1491, 513, 1413, 1586, 693, 6553, 11897, 1424, 7506, 267, 799, 616, 849, 3743, 585, 10416, 782, 5312, 3676, 286, 901, 568, 1360, 6654, 543, 713, 1935, 1287, 5012, 538, 519, 1985, 1900, 547, 938, 1259, 540, 1272, 543, 938, 2825, 2188, 267, 799, 649, 666, 3310, 563, 29590, 543, 3207, 1404, 513, 3226, 1271, 1909, 1934, 267, 607, 519, 28481, 25283, 1036, 10273, 919, 538, 2635, 3207, 9979, 543, 1007, 8229, 2281, 616, 4646, 269, 901, 968, 7853, 779, 1378, 7816, 10872, 892, 23119, 689, 8628, 2566, 543, 938, 2566, 9449, 23280, 538, 2490, 22262, 938, 3331, 509, 268, 600, 2643, 1355, 267, 799, 666, 1287, 1291, 547, 2799, 15799, 5250, 563, 763, 3123, 540, 12216, 779, 2068, 616, 711, 1395, 334, 268, 855, 3818, 2275, 30167, 269, 634, 2898, 1268, 1590, 581, 538, 519, 1445, 543, 6604, 610, 3797, 1590, 581, 11528, 865, 602, 519, 2898, 1062, 666, 18113, 12115, 519, 1268, 543, 938, 1582, 13463, 2718, 7060, 630, 10193, 543, 1657, 782, 538, 938, 2634, 264, 666, 1599, 1586, 269, 9210, 3394, 7497, 4249, 513, 1454, 811, 1271, 1909, 1934, 982, 11976, 2336, 2467, 616, 1079, 4791, 2010, 540, 12216, 779, 2068, 281, 2038, 268, 976, 564, 543, 3735, 268, 976, 564, 269, 5637, 2010, 723, 513, 4719, 5057, 563, 15900, 1700, 976, 564, 5084, 4386, 1354, 476, 2568, 1296, 2025, 543, 4564, 1447, 982, 476, 1015, 260, 540, 782, 2665, 269, 4107, 2665, 616, 3361, 676, 8789, 569, 15110, 13592, 538, 835, 540, 519, 1614, 6090, 281, 16061, 268, 600, 2643, 1355, 24888, 3940, 630, 4338, 303, 264, 1107, 15694, 476, 2641, 267, 1095, 523, 559, 514, 476, 272, 630, 4916, 2894, 272, 264, 1107, 15694, 476, 1691, 267, 543, 1095, 523, 559, 514, 476, 273, 630, 4916, 2894, 273, 9984, 577, 668, 25593, 476, 272, 269, 1452, 6090, 607, 1134, 607, 6673, 302, 292, 5444, 941, 4857, 998, 4719, 3095, 720, 2090, 538, 3885, 269, 589, 1126, 4171, 6211, 3993, 610, 4651, 11438, 513, 4719, 15817, 585, 2038, 268, 976, 564, 5432, 12216, 779, 2068, 630, 293, 4696, 264, 814, 513, 476, 2004, 270, 2004, 4960, 540, 9100, 1746, 602, 15817, 269, 1403, 519, 15817, 568, 538, 1249, 15110, 267, 519, 1126, 814, 513, 1360, 2178, 5506, 540, 3384, 2038, 268, 976, 564, 674, 4696, 269, 3962, 540, 891, 13592, 4249, 513, 1909, 538, 519, 15059, 540, 6673, 303, 267, 513, 3940, 4171, 5730, 1599, 568, 711, 2943, 4628, 6956, 269, 901, 15059, 568, 851, 540, 513, 1184, 602, 12958, 6757, 1106, 810, 325, 26887, 1355, 29693, 13196, 563, 299, 622, 268, 976, 564, 5084, 568, 519, 1034, 1455, 1106, 540, 519, 2068, 267, 538, 799, 2589, 1831, 7805, 538, 519, 4571, 268, 2568, 338, 543, 2663, 269, 634, 3123, 540, 3735, 268, 976, 564, 12216, 779, 616, 711, 2943, 4625, 6956, 267, 855, 789, 2693, 1331, 513, 4999, 540, 4719, 267, 2825, 267, 543, 6197, 2188, 602, 1860, 513, 1268, 779, 1981, 585, 3384, 519, 2068, 563, 5591, 1808, 5444, 2047, 3743, 585, 519, 3735, 12614, 1106, 729, 1336, 269, 1717, 267, 835, 4719, 1981, 3815, 1765, 327, 3058, 835, 1106, 540, 519, 3284, 30649, 29952, 661, 630, 4338, 302, 292, 264, 5444, 593, 15694, 476, 866, 1765, 323, 3996, 2333, 513, 1268, 779, 1981, 269, 6673, 302, 292, 2501, 538, 1896, 1114, 3029, 267, 610, 27586, 912, 4338, 302, 292, 31330, 275, 568, 1572, 513, 1981, 29969, 5444, 1317, 621, 4679, 513, 1268, 779, 1981, 540, 3384, 519, 2068, 269, 1717, 267, 9100, 1746, 606, 6673, 302, 292, 31330, 275, 27446, 1281, 711, 1611, 602, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1896, 1071, 19840, 643, 2209, 267, 1071, 3146, 12304, 832, 543, 824, 2188, 666, 1110, 3634, 519, 1198, 540, 6046, 13364, 269, 22031, 1738, 2157, 540, 2166, 1729, 577, 4435, 623, 14596, 11476, 616, 4389, 538, 2789, 3631, 540, 6553, 610, 3968, 269, 7261, 1729, 577, 4435, 623, 14596, 11476, 540, 2185, 3885, 630, 290, 24688, 272, 4211, 24688, 275, 264, 616, 1634, 547, 581, 3238, 538, 30542, 984, 8438, 10307, 269, 4256, 4719, 26340, 1143, 543, 7939, 616, 5941, 538, 713, 2689, 269, 0, 301, 534, 12771, 568, 513, 1907, 602, 538, 519, 2063, 8717, 814, 7152, 2789, 3156, 538, 1896, 9922, 267, 1519, 29436, 8114, 2722, 269, 1703, 814, 1044, 606, 4434, 538, 519, 1646, 540, 17560, 691, 545, 4327, 1949, 547, 581, 1031, 607, 18168, 267, 13851, 267, 10786, 15969, 267, 8596, 267, 543, 2298, 8102, 1218, 267, 1851, 824, 3156, 269, 634, 6289, 14535, 322, 2355, 1637, 1184, 711, 1152, 14014, 519, 3742, 12146, 855, 849, 666, 1860, 519, 18236, 267, 5872, 267, 543, 2534, 269, 898, 568, 1271, 547, 6218, 519, 2942, 3344, 540, 519, 946, 540, 20543, 630, 301, 11679, 264, 538, 6683, 269, 9717, 519, 1164, 1764, 540, 519, 17560, 691, 545, 4327, 1949, 538, 519, 29436, 11897, 12009, 2361, 267, 713, 2689, 6663, 547, 2232, 519, 2360, 540, 1585, 6289, 558, 17467, 593, 519, 19916, 267, 8311, 15299, 267, 543, 4719, 14842, 540, 1896, 7031, 563, 21292, 281, 6683, 282, 8311, 15299, 282, 20543, 282, 29113, 269, 0, 2414, 2307, 4173, 20727, 17965, 781, 6554, 2436, 1648, 6740, 538, 9075, 585, 519, 2817, 25373, 568, 1031, 547, 1683, 1648, 547, 2950, 4092, 2282, 547, 971, 9075, 563, 1556, 5437, 476, 1708, 271, 454, 289, 2660, 625, 666, 1683, 513, 2039, 540, 2533, 547, 519, 5201, 1062, 267, 971, 607, 13936, 5201, 689, 7791, 5108, 1282, 5712, 540, 1970, 3747, 543, 16089, 5201, 950, 5777, 616, 1164, 267, 607, 1134, 607, 4543, 547, 2569, 519, 1942, 540, 13326, 519, 1062, 269, 1358, 666, 1683, 2533, 693, 1312, 2199, 630, 10919, 640, 264, 543, 3084, 2157, 563, 18850, 9084, 8416, 7358, 2209, 630, 291, 301, 11675, 264, 849, 7500, 2199, 6990, 585, 8112, 2533, 269, 1452, 1683, 3606, 3255, 585, 9075, 547, 1489, 519, 1232, 12365, 5314, 540, 267, 543, 1683, 1648, 547, 267, 741, 2199, 2950, 269, 0, 10481, 2762, 543, 30578, 454, 17206, 540, 16855, 4149, 974, 26223, 8672, 454, 2171, 2125, 924, 12474, 19928, 1903, 454, 9824, 908, 17623, 268, 5226, 15715, 776, 7233, 543, 10960, 20518, 1903, 547, 12815, 543, 8892, 8693, 851, 540, 3026, 582, 5448, 281, 22826, 11242, 454, 288, 11461, 2534, 585, 1053, 547, 2263, 519, 2078, 1063, 2916, 543, 2030, 543, 3662, 14778, 538, 519, 2250, 267, 1459, 267, 543, 2104, 269, 4841, 946, 519, 3026, 582, 5448, 19232, 334, 1815, 1108, 18482, 267, 22340, 8693, 7827, 10326, 25304, 267, 2475, 14899, 25304, 540, 9534, 9737, 29725, 1738, 30352, 543, 20518, 1903, 540, 12830, 19029, 543, 1744, 16421, 538, 3345, 3013, 630, 32153, 7433, 476, 13679, 271, 589, 20324, 1070, 543, 2916, 2203, 3977, 563, 9596, 811, 827, 713, 2689, 1184, 269, 0, 25215, 1180, 547, 693, 2547, 1079, 9164, 945, 10272, 513, 1114, 3135, 543, 4063, 10486, 543, 3604, 1063, 1018, 596, 1185, 4121, 543, 1018, 707, 9164, 1185, 3838, 827, 3268, 585, 4742, 606, 24343, 547, 602, 1895, 269, 11512, 519, 1764, 540, 1018, 707, 9164, 3838, 538, 741, 2022, 563, 763, 3896, 594, 21503, 1480, 19338, 960, 568, 21069, 529, 5741, 269, 634, 21069, 529, 5741, 6212, 593, 3023, 543, 4074, 19338, 602, 15972, 1561, 14876, 11082, 883, 10553, 4074, 269, 634, 21069, 529, 5741, 779, 5692, 568, 547, 24905, 548, 22573, 1949, 602, 1118, 3023, 543, 4074, 19338, 2009, 269, 634, 21069, 529, 5741, 814, 13234, 519, 8938, 21144, 16923, 2817, 5274, 3004, 16751, 7291, 2094, 476, 1220, 278, 269, 634, 3896, 3091, 3095, 1137, 547, 4550, 13652, 16751, 2200, 267, 1279, 3856, 2533, 543, 3255, 585, 960, 538, 519, 1480, 19338, 2361, 585, 9601, 543, 15000, 269, 634, 21069, 529, 5741, 814, 849, 24574, 1229, 6792, 779, 1101, 2817, 11557, 3004, 16751, 12182, 1467, 547, 4339, 2665, 602, 3444, 519, 2136, 2276, 8473, 563, 301, 6334, 267, 1514, 4600, 616, 16167, 547, 519, 31345, 543, 12790, 269, 1717, 267, 547, 581, 606, 24343, 1281, 711, 1611, 596, 723, 547, 581, 513, 1514, 11832, 267, 543, 547, 581, 606, 24343, 1281, 711, 1611, 596, 723, 547, 5639, 602, 596, 616, 606, 24343, 269, 9861, 606, 24343, 568, 9247, 1373, 606, 12167, 676, 2870, 4656, 267, 18997, 1866, 6927, 540, 21440, 267, 3927, 14379, 707, 1448, 2066, 23447, 543, 6368, 2921, 2962, 547, 1711, 1689, 630, 18128, 753, 1299, 6115, 267, 476, 1220, 280, 1916, 19102, 2084, 4656, 540, 1480, 19338, 786, 2154, 14344, 602, 519, 1966, 6818, 269, 11109, 1702, 827, 1480, 19338, 267, 875, 621, 1568, 267, 1018, 621, 5654, 899, 267, 543, 945, 568, 11630, 547, 519, 6760, 568, 513, 1376, 269, 9861, 606, 24343, 547, 513, 6408, 610, 31848, 540, 1480, 19338, 568, 6225, 950, 14957, 585, 1689, 593, 519, 2339, 269, 11109, 606, 24343, 945, 814, 4810, 1480, 19338, 568, 1271, 538, 2870, 4656, 267, 2348, 5813, 267, 543, 2348, 513, 3068, 585, 519, 2152, 607, 1082, 2152, 616, 711, 15889, 2394, 649, 5873, 610, 1294, 513, 2123, 2272, 563, 302, 653, 1953, 885, 547, 1205, 3238, 607, 606, 24343, 538, 1480, 19338, 568, 547, 1205, 3238, 543, 1491, 2962, 269, 17778, 602, 666, 1291, 547, 3255, 666, 581, 9683, 513, 6469, 5208, 12062, 543, 6158, 547, 9601, 543, 15000, 540, 1480, 19338, 269, 5274, 19338, 2043, 7985, 689, 3972, 2152, 269, 8490, 3972, 609, 606, 1367, 543, 1373, 18177, 568, 519, 1655, 1259, 547, 2253, 606, 24343, 2078, 269, 6271, 4316, 547, 581, 606, 24343, 585, 1480, 19338, 2043, 568, 547, 7649, 609, 606, 3919, 602, 1281, 23793, 960, 585, 9601, 543, 15000, 540, 1480, 19338, 269, 17778, 602, 666, 581, 3144, 547, 1711, 513, 1489, 1895, 616, 1101, 2679, 29037, 267, 3972, 267, 543, 12477, 609, 9601, 543, 15000, 585, 873, 547, 1930, 909, 543, 3398, 948, 269, 5274, 19338, 568, 513, 10347, 1888, 602, 3340, 1382, 267, 1702, 267, 543, 1983, 585, 835, 547, 581, 606, 2500, 24343, 563, 18128, 753, 267, 715, 269, 808, 1421, 6115, 267, 808, 269, 630, 1220, 280, 1040, 29460, 606, 24343, 281, 589, 1007, 6514, 630, 1575, 13768, 4528, 1040, 15332, 10892, 281, 717, 904, 267, 15776, 321, 2103, 267, 543, 645, 21361, 338, 2201, 28941, 630, 653, 269, 476, 4198, 268, 14225, 1040, 28641, 267, 22622, 281, 1977, 5441, 12287, 6773, 5948, 630, 3722, 5183, 1070, 2290, 667, 1575, 2632, 17781, 267, 32065, 693, 519, 4741, 585, 14451, 4065, 267, 6115, 9823, 476, 1220, 8287, 563, 23737, 875, 596, 1522, 1489, 7638, 517, 3821, 543, 824, 1480, 19338, 9601, 6220, 519, 1344, 596, 723, 1336, 563, 7021, 519, 1296, 267, 519, 1977, 1857, 543, 1977, 2797, 3401, 723, 3196, 2685, 6462, 3646, 547, 4339, 1480, 19338, 630, 6826, 1188, 1696, 620, 1421, 476, 1001, 276, 1040, 769, 519, 3068, 540, 2242, 538, 2797, 4218, 5928, 267, 14761, 723, 15034, 519, 1966, 540, 968, 19640, 8474, 2223, 543, 1884, 19338, 3646, 723, 4607, 3376, 1489, 630, 6826, 1188, 1696, 620, 1421, 476, 1001, 276, 1040, 634, 5449, 3465, 6342, 267, 6723, 654, 269, 17312, 543, 5518, 4446, 871, 15525, 1312, 31045, 19506, 1884, 19338, 9086, 543, 13991, 1713, 2200, 1369, 519, 2475, 4972, 540, 10456, 538, 8165, 1480, 19338, 269, 4014, 519, 2797, 16786, 540, 938, 1459, 5518, 18496, 11686, 568, 15069, 1114, 689, 1010, 11937, 282, 646, 4371, 513, 6947, 8400, 609, 1884, 19338, 15156, 267, 6031, 602, 1010, 7245, 786, 1445, 593, 10678, 519, 11613, 27337, 881, 2259, 540, 1480, 19338, 630, 6826, 1188, 1696, 620, 1421, 476, 1001, 276, 1040, 1284, 782, 991, 547, 948, 585, 938, 2146, 543, 991, 547, 11441, 543, 1831, 606, 24343, 585, 7638, 517, 3821, 543, 782, 519, 824, 9601, 540, 1480, 19338, 563, 19723, 517, 3821, 729, 476, 1321, 1296, 729, 2025, 950, 1352, 729, 7142, 1200, 883, 14382, 3191, 676, 1200, 31225, 282, 1031, 519, 2724, 689, 519, 3023, 6411, 607, 1200, 1292, 2707, 540, 4747, 630, 5522, 28026, 267, 300, 752, 5142, 1299, 2156, 4242, 523, 267, 476, 1001, 275, 1040, 7638, 517, 3821, 4080, 602, 1200, 31225, 729, 8156, 1200, 968, 3697, 513, 10553, 892, 543, 1131, 1118, 1200, 8673, 606, 7164, 6219, 1354, 16550, 1200, 547, 1685, 4638, 6411, 593, 9118, 2367, 585, 2724, 269, 901, 3576, 1747, 585, 827, 513, 1032, 1354, 1352, 729, 2111, 547, 1217, 1200, 3993, 593, 519, 6049, 543, 2491, 1018, 1185, 1044, 8345, 547, 1200, 269, 4173, 3993, 3533, 11231, 585, 7638, 517, 3821, 547, 581, 13603, 909, 676, 513, 968, 322, 1195, 1774, 892, 630, 320, 1268, 945, 1159, 10212, 956, 1004, 883, 519, 2136, 2276, 1040, 634, 31352, 1774, 6707, 1159, 10212, 1194, 7638, 517, 3821, 883, 519, 2136, 2276, 1369, 476, 273, 3275, 540, 602, 6049, 1289, 269, 1717, 267, 1247, 15385, 519, 8473, 689, 6792, 547, 519, 2136, 2276, 267, 7638, 517, 3821, 2899, 1586, 2968, 519, 6408, 540, 3023, 19338, 10963, 630, 5522, 28026, 267, 300, 752, 5142, 1299, 2156, 4242, 523, 267, 476, 1001, 275, 1040, 634, 31352, 1774, 729, 849, 513, 533, 11069, 945, 11231, 585, 2367, 15385, 519, 8473, 538, 519, 1482, 14903, 607, 7638, 517, 3821, 547, 4497, 538, 4638, 6411, 609, 1200, 585, 799, 519, 31352, 1774, 6394, 2724, 269, 772, 2529, 269, 11776, 10492, 9575, 1034, 540, 519, 1004, 10707, 538, 519, 14903, 267, 1519, 7638, 517, 3821, 267, 543, 5116, 873, 538, 513, 30969, 4099, 269, 1717, 267, 519, 31352, 1774, 3893, 2476, 269, 8422, 4374, 1310, 7638, 517, 3821, 729, 1033, 7134, 267, 1310, 1454, 15819, 543, 7634, 267, 1352, 729, 22653, 1243, 609, 1200, 3993, 630, 5522, 28026, 267, 300, 752, 5142, 1299, 2156, 4242, 523, 267, 476, 1001, 275, 1916, 23737, 875, 596, 666, 2253, 547, 2333, 707, 4656, 540, 713, 3390, 543, 4001, 1866, 827, 1480, 19338, 9601, 563, 10376, 1032, 827, 476, 1240, 267, 1822, 1004, 616, 4547, 547, 519, 2136, 2276, 543, 616, 7142, 883, 4074, 610, 3023, 960, 269, 14780, 2358, 4656, 543, 3246, 1344, 547, 782, 3782, 4600, 949, 581, 519, 1101, 3268, 2877, 547, 1439, 3023, 19338, 630, 289, 21516, 267, 476, 1001, 280, 1040, 4414, 17514, 540, 6057, 543, 3617, 2553, 585, 2564, 11832, 267, 11923, 267, 1514, 4600, 543, 824, 1072, 1416, 4600, 547, 946, 538, 21528, 9601, 616, 5941, 269, 7861, 15501, 540, 1480, 19338, 585, 3023, 2356, 616, 7925, 1453, 543, 10708, 630, 289, 21516, 267, 476, 1001, 280, 1040, 4014, 1762, 9038, 849, 616, 23699, 16770, 267, 2487, 1382, 5267, 15730, 8951, 616, 6408, 1242, 811, 4749, 3509, 1004, 949, 3494, 1480, 3023, 19338, 568, 5097, 513, 2518, 3390, 543, 798, 711, 5431, 519, 1966, 849, 4386, 538, 519, 2136, 2276, 630, 289, 21516, 267, 476, 1001, 280, 1040, 14780, 2358, 4656, 543, 3246, 1344, 547, 782, 3782, 4600, 949, 581, 519, 1101, 3268, 2877, 547, 1439, 3023, 19338, 269, 16195, 7426, 267, 2523, 1346, 2324, 538, 6595, 13623, 267, 2564, 1606, 17790, 4559, 267, 610, 28928, 1416, 5054, 267, 1058, 13599, 2933, 7282, 2699, 17514, 602, 666, 581, 1031, 547, 2697, 2009, 3023, 19338, 9601, 543, 267, 952, 8612, 267, 4217, 873, 547, 1867, 269, 4329, 267, 7426, 991, 547, 581, 2111, 547, 2709, 6408, 779, 2146, 7028, 543, 2200, 547, 2743, 2115, 7000, 1282, 519, 4879, 269, 1635, 2921, 942, 547, 1628, 29037, 609, 891, 6408, 1242, 2043, 267, 3782, 7426, 949, 4217, 873, 547, 9101, 741, 3510, 563, 27855, 3255, 547, 1205, 3238, 543, 1831, 606, 24343, 547, 1346, 945, 723, 1044, 911, 742, 17673, 269, 10576, 3268, 596, 666, 1491, 547, 2253, 547, 1489, 713, 1895, 563, 288, 1480, 19338, 4656, 1895, 786, 581, 513, 1390, 4316, 547, 1205, 4125, 538, 543, 1831, 606, 24343, 547, 1346, 945, 723, 1044, 911, 742, 17673, 269, 594, 1745, 602, 519, 1101, 1900, 568, 547, 2697, 519, 9601, 540, 1480, 19338, 282, 543, 1034, 540, 873, 723, 1044, 911, 15436, 1242, 267, 865, 789, 723, 547, 979, 998, 3797, 269, 2991, 519, 9601, 723, 8854, 998, 741, 6051, 3942, 282, 982, 594, 666, 1205, 873, 547, 581, 851, 540, 519, 4656, 1895, 269, 594, 3494, 602, 519, 9601, 952, 1480 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 949, 581, 1500, 689, 513, 3368, 2148, 630, 4335, 575, 264, 540, 2549, 592, 4154, 5144, 563, 1692, 1454, 533, 2033, 518, 666, 649, 1205, 689, 476, 4335, 16720, 5144, 888, 2026, 513, 1267, 267, 649, 666, 7747, 602, 476, 4335, 575, 540, 6404, 5144, 786, 6556, 1472, 476, 1911, 575, 540, 533, 2033, 518, 593, 3328, 563, 1432, 568, 519, 2557, 540, 476, 272, 4846, 533, 2033, 518, 888, 19064, 871, 2450, 1475, 303, 871, 1826, 1475, 25820, 2008, 1692, 1082, 22175, 637, 540, 5144, 1118, 476, 272, 11899, 540, 10381, 888, 10267, 3150, 568, 3335, 1500, 689, 476, 1015, 30184, 540, 5144, 267, 799, 568, 3160, 547, 835, 11304, 540, 10381, 269, 589, 2647, 3099, 540, 29380, 525, 949, 581, 3812, 4470, 593, 519, 2837, 693, 799, 519, 10381, 568, 1500, 267, 519, 4529, 602, 616, 1031, 267, 519, 7274, 540, 6070, 602, 568, 3773, 267, 543, 519, 30553, 630, 8692, 2287, 264, 942, 543, 6381, 563, 1692, 1454, 575, 31649, 666, 581, 1500, 689, 476, 272, 11899, 5144, 888, 2252, 519, 3170, 1543, 568, 2799, 1022, 2417, 267, 519, 2179, 540, 5144, 2838, 786, 581, 4389, 1256, 2417, 269, 898, 3217, 476, 1626, 1700, 1704, 4846, 540, 5144, 547, 5352, 476, 272, 11304, 540, 575, 31649, 689, 2898, 5144, 630, 817, 11167, 513, 476, 277, 2600, 5144, 3170, 1543, 1040, 14520, 2600, 3170, 568, 519, 1482, 607, 3670, 13532, 540, 3170, 538, 835, 4627, 13532, 540, 5144, 269, 1306, 513, 1267, 267, 476, 1911, 270, 277, 284, 1626, 269, 5780, 4846, 540, 5144, 568, 2838, 547, 5352, 835, 11304, 540, 575, 31649, 563, 7617, 5144, 568, 1655, 585, 533, 2033, 518, 888, 300, 20488, 281, 1280, 519, 6574, 2164, 267, 2407, 5144, 1058, 581, 1031, 269, 898, 568, 2009, 547, 1711, 533, 2033, 518, 1210, 476, 273, 2600, 5144, 607, 1134, 267, 2705, 952, 596, 1616, 4190, 533, 2033, 518, 18695, 267, 594, 4363, 1210, 2407, 5144, 3079, 269, 4354, 323, 1782, 8665, 281, 713, 666, 581, 2901, 16693, 267, 11993, 10433, 267, 610, 18506, 267, 4470, 593, 519, 11600, 563, 1692, 666, 5173, 533, 2033, 518, 6556, 888, 2005, 568, 4105, 547, 3002, 519, 5144, 547, 476, 3445, 5232, 17622, 538, 1931, 547, 3132, 513, 25685, 6556, 269, 769, 2489, 267, 10889, 14900, 5144, 814, 513, 6556, 540, 476, 736, 268, 2420, 4846, 267, 15029, 10800, 5144, 7472, 513, 6556, 540, 476, 1626, 268, 1240, 4846, 269, 623, 2033, 518, 1500, 689, 10889, 14900, 5144, 814, 9120, 31068, 7907, 267, 607, 1134, 607, 1560, 543, 9403, 950, 3379, 547, 533, 2033, 518, 1500, 689, 10800, 5144, 563, 1692, 1082, 22175, 637, 540, 5144, 1118, 476, 272, 4846, 540, 7423, 888, 2414, 5352, 835, 11304, 540, 7423, 267, 476, 736, 547, 476, 1839, 30184, 540, 5144, 616, 2838, 563, 1432, 568, 2557, 540, 533, 2033, 518, 888, 763, 6700, 10685, 3902, 568, 12652, 476, 274, 4281, 269, 630, 1103, 5477, 540, 782, 9204, 264, 476, 275, 269, 271, 563, 1432, 568, 519, 1942, 540, 476, 276, 918, 326, 533, 2033, 518, 888, 303, 1678, 1690, 27958, 14105, 1923, 9517, 281, 476, 18684, 14991, 7176, 273, 9032, 1923, 476, 1015, 268, 736, 17963, 476, 276, 11899, 6196, 28446, 880, 8932, 667, 8543, 623, 2033, 518, 267, 12652, 476, 13970, 271, 1315, 335, 13224, 623, 1678, 1690, 27958, 14105, 1923, 9517, 281, 476, 18684, 14991, 7176, 273, 9032, 1923, 476, 1015, 268, 736, 17963, 476, 276, 11899, 6196, 28446, 880, 8932, 667, 8543, 623, 2033, 518, 267, 12652, 476, 13970, 271, 1315, 335, 13224, 454, 1692, 1454, 3940, 1281, 476, 1911, 326, 332, 540, 533, 2033, 518, 723, 888, 3080, 3003, 4212, 814, 1472, 476, 278, 10101, 540, 3940, 267, 855, 476, 1911, 10101, 540, 533, 2033, 518, 3568, 5111, 476, 1691, 10101, 540, 3940, 269, 0, 1432, 568, 513, 3815, 538, 2979, 15017, 26502, 616, 519, 2338, 596, 9062, 1927, 547, 1205, 1776, 1297, 269, 1280, 1383, 267, 519, 2188, 540, 476, 1428, 616, 476, 274, 543, 476, 276, 1317, 476, 274, 6398, 476, 276, 815, 476, 1428, 563, 763, 2188, 540, 513, 1297, 666, 581, 2318, 610, 2942, 267, 855, 789, 3112, 581, 4642, 563, 763, 2188, 540, 513, 1297, 666, 581, 1031, 547, 1265, 856, 952, 519, 1297, 568, 6305, 610, 711, 563, 288, 6305, 1297, 568, 513, 1297, 602, 814, 1152, 1079, 2188, 281, 3294, 543, 476, 272, 269, 1280, 1383, 267, 519, 1297, 476, 278, 568, 6305, 1317, 922, 1152, 2188, 616, 476, 278, 543, 476, 272, 563, 8266, 782, 540, 519, 2188, 540, 476, 10755, 272, 15017, 2414, 5173, 519, 2188, 540, 476, 10755, 272, 2073, 596, 666, 946, 519, 6498, 1505, 563, 272, 269, 10670, 676, 12270, 476, 10755, 272, 676, 519, 10545, 2009, 1297, 267, 799, 568, 476, 273, 563, 273, 269, 1403, 519, 6498, 568, 1256, 267, 1287, 476, 273, 568, 513, 3815, 540, 476, 10755, 272, 563, 274, 269, 15566, 12270, 476, 10755, 272, 676, 3677, 2338, 2394, 596, 1265, 606, 9642, 1297, 602, 1281, 711, 7941, 14961, 883, 476, 10755, 272, 4586, 275, 269, 634, 2338, 602, 7941, 14961, 883, 476, 10755, 272, 616, 519, 2188, 540, 476, 10755, 272, 4586, 3086, 1577, 721, 1265, 875, 547, 5173, 782, 519, 2188, 540, 2290, 8536, 15823, 14633, 10778, 10755, 272, 21680, 476, 272, 815, 476, 10755, 272, 454, 10755, 272, 21680, 476, 10755, 272, 815, 476, 272, 454, 2026, 596, 666, 1294, 267, 519, 2188, 540, 476, 10755, 272, 616, 476, 272, 543, 476, 10755, 272, 4586, 1692, 547, 3503, 10606, 538, 3943, 5381, 547, 476, 10755, 272, 888, 1692, 1082, 2188, 540, 476, 10755, 272, 616, 972, 15017, 763, 2188, 540, 476, 10755, 272, 616, 519, 2338, 602, 666, 14961, 7941, 476, 10755, 272, 1547, 1452, 2338, 616, 476, 272, 543, 476, 10755, 272, 563, 13295, 267, 972, 616, 513, 2698, 540, 476, 273, 2188, 540, 476, 10755, 272, 454, 1432, 616, 519, 3815, 8424, 540, 476, 10755, 272, 15017, 15542, 528, 623, 4202, 540, 476, 10755, 272, 616, 10659, 540, 1079, 2188, 602, 950, 16611, 1927, 3160, 476, 10755, 272, 269, 1703, 616, 1082, 2081, 547, 5173, 519, 3815, 8424, 540, 476, 10755, 272, 4586, 3080, 2653, 1259, 568, 547, 1592, 856, 519, 2188, 540, 476, 10755, 272, 10778, 272, 2073, 476, 10755, 272, 454, 10190, 267, 6292, 909, 519, 2188, 912, 663, 630, 272, 267, 10755, 272, 264, 1452, 616, 519, 3815, 8424, 540, 476, 10755, 272, 4586, 28269, 16748, 5314, 540, 476, 10755, 272, 454, 2467, 616, 513, 1906, 1114, 2409, 602, 666, 581, 1031, 547, 5173, 519, 6305, 26458, 540, 513, 1297, 269, 5565, 540, 519, 1034, 1455, 2409, 616, 7396, 2630, 563, 272, 264, 2422, 513, 3815, 3529, 10778, 272, 269, 6875, 519, 1297, 596, 1616, 547, 1265, 519, 6305, 26458, 540, 543, 2328, 621, 693, 519, 1283, 540, 519, 2985, 454, 273, 269, 4855, 519, 10545, 1297, 602, 4422, 883, 519, 1297, 596, 616, 4466, 519, 6305, 26458, 540, 14961, 543, 2328, 621, 1985, 547, 519, 1297, 596, 616, 4466, 519, 6305, 26458, 540, 454, 274, 269, 8571, 513, 1899, 896, 519, 1297, 596, 1175, 5206, 543, 519, 1297, 596, 616, 4466, 519, 6305, 26458, 540, 454, 275, 269, 19244, 1900, 476, 273, 609, 519, 1297, 596, 1175, 5206, 2394, 602, 1297, 666, 1100, 3476, 581, 5258, 14961, 454, 276, 269, 634, 2338, 2854, 593, 519, 3515, 786, 581, 519, 6305, 2188, 540, 519, 1297, 596, 3323, 609, 454, 2690, 1383, 267, 547, 5173, 519, 6305, 26458, 540, 476, 10755, 272, 1210, 513, 3815, 3529, 267, 649, 1131, 1376, 676, 1603, 476, 10755, 272, 593, 513, 4062, 540, 1957, 269, 3973, 267, 649, 1131, 2721, 513, 1899, 896, 621, 543, 2253, 4466, 2188, 563, 763, 3803, 6305, 26458, 540, 476, 10755, 272, 1131, 581, 476, 10755, 272, 563, 273, 264, 2422, 513, 26458, 1505, 10778, 2467, 616, 513, 1906, 1114, 26458, 2409, 602, 666, 581, 1031, 547, 5173, 519, 6305, 26458, 540, 513, 1297, 563, 3080, 1455, 1505, 568, 547, 1376, 676, 12270, 519, 1297, 676, 519, 10545, 6305, 1297, 602, 786, 7941, 14961, 883, 621, 563, 10190, 267, 3136, 12270, 519, 1297, 676, 1967, 1947, 3677, 6305, 2338, 2394, 519, 1297, 814, 1044, 4628, 3815, 2213, 563, 2690, 1383, 267, 547, 5173, 519, 6305, 26458, 540, 476, 10755, 272, 1210, 713, 1505, 267, 649, 1832, 12270, 2394, 621, 3947, 513, 1875, 25179, 14230, 563, 10755, 272, 21680, 476, 10755, 272, 815, 476, 272, 454, 3383, 519, 6305, 2188, 540, 476, 10755, 272, 616, 476, 10755, 272, 563, 21761, 18542, 5999, 593, 11790, 454, 1432, 616, 782, 519, 2188, 540, 476, 10755, 272, 15017, 763, 2188, 540, 476, 10755, 272, 616, 476, 272, 543, 476, 10755, 272, 563, 1432, 568, 519, 6305, 26458, 540, 476, 10755, 272, 15017, 763, 6305, 26458, 540, 476, 10755, 272, 568, 476, 10755, 272, 610, 476, 10755, 1556, 267, 1141, 476, 10755, 272, 616, 519, 6305, 2338, 4586, 1432, 616, 519, 6305, 2188, 540, 476, 10755, 272, 15017, 763, 6305, 2188, 540, 476, 10755, 272, 616, 476, 10755, 272, 4586, 3674, 476, 10755, 272, 513, 6305, 1297, 15017, 288, 6305, 1297, 568, 513, 1297, 602, 814, 1152, 1079, 2188, 476, 272, 543, 3294, 563, 10755, 272, 621, 568, 513, 6305, 1297, 1317, 621, 814, 519, 2188, 476, 272, 543, 476, 10755, 272, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 649, 798, 3247, 693, 713, 1448, 267, 519, 2626, 649, 3489, 568, 2630, 1384, 11598, 272, 454, 1321, 1923, 8660, 476, 275, 347, 476, 272, 454, 11598, 1892, 347, 11598, 276, 476, 1556, 454, 1366, 9339, 8894, 11598, 1892, 347, 476, 278, 476, 274, 347, 10482, 692, 2171, 666, 13182, 602, 519, 2626, 547, 519, 1966, 568, 8197, 513, 23479, 540, 476, 10463, 543, 513, 14230, 540, 476, 10482, 780, 2252, 649, 8399, 2417, 267, 649, 3489, 519, 1101, 1906, 9704, 3564, 519, 8918, 1448, 607, 2630, 1384, 11598, 272, 454, 1321, 1923, 8660, 476, 275, 347, 476, 272, 269, 476, 271, 476, 271, 476, 271, 476, 271, 476, 1822, 454, 11598, 1892, 347, 11598, 276, 476, 1556, 476, 1321, 476, 275, 476, 278, 476, 279, 476, 274, 476, 1321, 476, 1556, 454, 10900, 734, 8894, 11598, 1892, 347, 476, 278, 476, 274, 269, 476, 279, 11598, 280, 476, 273, 476, 276, 476, 277, 476, 2735, 1547, 1547, 16317, 3080, 811, 1383, 786, 2417, 4396, 1518, 713, 1935, 538, 938, 2247, 269, 2060, 602, 2247, 267, 1577, 721, 1491, 519, 1383, 540, 476, 6434, 278, 6434, 277, 278, 270, 1911, 272, 269, 1284, 917, 602, 621, 568, 1360, 2653, 547, 4308, 609, 713, 1383, 1210, 519, 3474, 822, 691, 5984, 1505, 607, 11609, 2630, 1384, 1911, 272, 476, 271, 476, 271, 910, 272, 454, 6434, 278, 279, 347, 279, 6858, 454, 1822, 279, 2008, 1822, 271, 347, 8517, 454, 1822, 271, 347, 271, 3583, 454, 1366, 955, 8894, 6434, 278, 271, 347, 268, 274, 454, 6434, 277, 280, 347, 4200, 279, 692, 3086, 267, 3257, 621, 676, 519, 1505, 540, 2786, 6498, 267, 649, 1205, 519, 4137, 2630, 269, 4495, 1586, 649, 723, 11876, 13554, 1152, 476, 272, 7857, 834, 517, 547, 519, 9206, 2580, 543, 17477, 519, 1964, 540, 519, 14009, 607, 3490, 9704, 780, 11598, 1892, 272, 454, 1911, 1923, 6434, 278, 11598, 279, 11598, 279, 11598, 1892, 277, 347, 11598, 278, 454, 18139, 347, 11598, 1892, 9262, 1892, 3583, 1892, 1911, 1892, 1911, 454, 2411, 734, 454, 18139, 347, 11598, 279, 11598, 279, 11598, 277, 11598, 1892, 280, 347, 4200, 279, 692, 2171, 1205, 519, 9838, 1267, 269, 2060, 2786, 6498, 267, 649, 1810, 1405, 723, 547, 3247, 609, 513, 14230, 1498, 269, 1284, 666, 4163, 593, 519, 6498, 543, 1265, 607, 1082, 9704, 3564, 519, 8918, 1448, 607, 649, 1616, 585, 1022, 6498, 1966, 780, 1607, 1505, 540, 7231, 609, 3818, 18251, 32159, 630, 516, 8877, 782, 855, 835, 7857, 607, 3490, 9704, 543, 11876, 12371, 1175, 835, 7857, 593, 547, 519, 9206, 264, 1568, 950, 519, 3490, 9704, 616, 2653, 547, 7941, 676, 630, 20791, 2338, 899, 476, 1556, 267, 476, 1321, 267, 3092, 1421, 610, 5180, 2338, 899, 476, 1911, 267, 476, 2004, 267, 3092, 4700, 780, 3086, 267, 1577, 721, 1413, 693, 1776, 1259, 540, 7231, 609, 3818, 18251, 32159, 269, 769, 713, 1505, 267, 649, 11677, 519, 851, 540, 519, 14009, 602, 568, 2653, 547, 7941, 676, 607, 519, 3490, 9704, 543, 11876, 626, 782, 519, 824, 9704, 593, 547, 519, 9206, 607, 9206, 9704, 269, 769, 1082, 2665, 267, 713, 949, 4125, 1175, 835, 3490, 7857, 543, 476, 273, 610, 811, 9206, 9704, 269, 634, 5650, 585, 7231, 609, 2789, 9206, 9704, 568, 513, 2370, 1114, 689, 875, 649, 18808, 609, 513, 2582, 9206, 7857, 269, 1284, 786, 1631, 979, 936, 602, 5650, 538, 1469, 607, 649, 4019, 621, 547, 513, 1483, 1966, 269, 1280, 519, 3483, 540, 713, 14745, 267, 1577, 721, 1491, 519, 1383, 540, 476, 280, 6507, 4200, 276, 270, 18891, 780, 1607, 942, 267, 3079, 540, 5329, 476, 273, 3490, 7857, 543, 476, 272, 9206, 7857, 267, 649, 786, 8237, 519, 14009, 883, 476, 272, 3490, 7857, 543, 476, 273, 9206, 9704, 269, 901, 568, 11609, 538, 519, 4137, 2630, 269, 18564, 602, 1317, 972, 616, 476, 273, 9206, 9704, 267, 649, 1305, 11735, 1079, 9704, 540, 519, 19362, 607, 14230, 9704, 780, 1892, 1321, 454, 273, 11598, 347, 280, 6507, 280, 347, 4817, 454, 11598, 1892, 2008, 1366, 19030, 5978, 1101, 6498, 3322, 12270, 476, 280, 676, 476, 273, 269, 634, 23479, 568, 476, 275, 543, 519, 14230, 568, 476, 272, 269, 901, 568, 2854, 2630, 1384, 1892, 1321, 454, 273, 11598, 347, 280, 476, 6507, 280, 347, 4817, 454, 11598, 1892, 347, 476, 272, 454, 1366, 955, 454, 11598, 1892, 347, 275, 692, 763, 1985, 1900, 538, 713, 5650, 568, 711, 547, 9062, 519, 1101, 23479, 7857, 676, 519, 2338, 593, 519, 9206, 269, 634, 5650, 568, 1360, 2147, 547, 519, 5650, 649, 946, 538, 14921, 19794, 543, 3444, 30150, 1210, 519, 772, 6113, 327, 9366, 6874, 597, 344, 752, 521, 583, 571, 269, 769, 713, 2013, 267, 519, 3818, 2364, 1343, 616, 2141, 519, 9206, 9704, 543, 519, 2063, 562, 9704, 540, 519, 23479, 267, 1141, 562, 568, 519, 1297, 540, 9206, 9704, 780, 7712, 519, 23479, 267, 693, 713, 942, 267, 3568, 1152, 835, 7857, 267, 649, 14950, 621, 609, 607, 1082, 4642, 525, 547, 519, 2451, 607, 568, 2556, 547, 1118, 2386, 602, 519, 23479, 3568, 519, 1482, 1297, 540, 9704, 607, 519, 9206, 269, 769, 713, 2013, 267, 649, 991, 547, 14950, 519, 23479, 609, 835, 4642, 269, 769, 2489, 267, 713, 786, 2154, 14950, 3429, 609, 630, 333, 268, 272, 264, 4642, 525, 1141, 562, 568, 519, 1297, 540, 9206, 9704, 269, 901, 568, 3254, 538, 519, 4137, 2630, 1384, 1892, 1321, 454, 273, 454, 1892, 347, 280, 476, 6507, 280, 347, 4817, 454, 1892, 347, 476, 272, 454, 1366, 9339, 8894, 1892, 271, 347, 275, 692, 3086, 267, 649, 3489, 519, 2040, 540, 519, 3444, 1790, 20094, 540, 476, 6860, 543, 476, 1321, 607, 6045, 538, 519, 3992, 593, 20539, 1227, 543, 9061, 30150, 269, 901, 2164, 538, 476, 271, 1535, 476, 273, 1341, 476, 275, 1535, 476, 272, 815, 476, 275, 269, 16265, 24219, 476, 275, 689, 476, 1704, 3947, 721, 476, 1724, 267, 799, 3587, 938, 1985, 13591, 19362, 269, 29435, 532, 476, 1724, 676, 476, 273, 3947, 721, 513, 23479, 540, 476, 277, 543, 513, 14230, 540, 476, 272, 269, 901, 568, 3254, 538, 519, 4137, 2630, 1384, 1892, 1321, 454, 273, 11598, 347, 280, 476, 278, 476, 8064, 347, 4817, 454, 11598, 1892, 347, 476, 272, 476, 272, 454, 1366, 9339, 8894, 11598, 271, 347, 275, 476, 277, 692, 4263, 713, 1448, 267, 519, 476, 273, 18251, 1297, 649, 1205, 676, 8380, 1927, 519, 14230, 543, 519, 1985, 7857, 540, 519, 19362, 568, 476, 1704, 269, 3245, 713, 476, 1704, 267, 10208, 519, 2040, 540, 519, 3444, 30150, 2472, 540, 519, 476, 273, 9206, 9704, 543, 519, 2063, 476, 273, 23479, 9704, 269, 901, 2040, 1568, 856, 547, 476, 275, 1535, 476, 273, 630, 14140, 7857, 540, 519, 23479, 1535, 2034, 9206, 7857, 264, 1341, 476, 272, 1535, 476, 277, 630, 16149, 7857, 540, 519, 23479, 1535, 1101, 9206, 7857, 264, 815, 476, 1691, 630, 933, 1810, 1405, 723, 547, 946, 519, 4642, 538, 4395, 540, 519, 1101, 23479, 7857, 15042, 2094, 649, 1631, 723, 2614, 1483, 23479, 9704, 547, 1685, 938, 26398, 609, 1040, 476, 1704, 910, 476, 1691, 815, 476, 274, 269, 29435, 532, 476, 274, 676, 476, 273, 3947, 721, 513, 23479, 540, 476, 272, 609, 513, 14230, 540, 476, 272, 269, 901, 568, 11609, 538, 519, 4137, 2630, 1384, 1892, 1321, 454, 273, 11598, 347, 280, 476, 278, 476, 278, 476, 280, 347, 4817, 454, 11598, 1892, 347, 476, 272, 476, 272, 476, 272, 454, 1366, 9339, 8894, 11598, 271, 347, 275, 476, 277, 476, 272, 692, 3086, 267, 519, 476, 273, 18251, 1297, 649, 1205, 676, 5104, 868, 777, 3151, 519, 14230, 543, 519, 1985, 7857, 540, 519, 19362, 568, 476, 866, 269, 634, 1297, 547, 581, 10208, 539, 689, 713, 568, 519, 2040, 540, 519, 3444, 1790, 20094, 540, 519, 9206, 9704, 543, 519, 2063, 476, 273, 23479, 9704, 1336, 865, 2484, 269, 634, 2063, 476, 273, 9704, 540, 519, 23479, 616, 476, 8618, 543, 519, 9206, 9704, 616, 476, 1321, 269, 1924, 267, 519, 2040, 540, 519, 3444, 1790, 20094, 568, 476, 277, 1535, 476, 273, 1341, 476, 272, 1535, 476, 272, 815, 476, 1724, 269, 476, 866, 910, 476, 1724, 815, 476, 277, 269, 29435, 532, 476, 277, 676, 476, 273, 3947, 721, 513, 23479, 540, 476, 274, 543, 513, 14230, 540, 476, 271, 269, 901, 568, 1631, 3773, 547, 938, 4137, 547, 2285, 721, 519, 1739, 1384, 1892, 1321, 454, 273, 11598, 347, 280, 476, 278, 476, 278, 476, 280, 347, 4817, 454, 11598, 1892, 347, 476, 272, 476, 272, 476, 272, 476, 271, 454, 2411, 454, 11598, 271, 347, 275, 476, 277, 476, 272, 476, 274, 692, 2171, 723, 1631, 18808, 609, 782, 23479, 9704, 540, 519, 19362, 269, 1924, 267, 649, 666, 1631, 5173, 513, 14230, 610, 649, 666, 3136, 519, 6498, 676, 4946, 513, 8918, 1448, 543, 23312, 607, 1657, 780, 763, 9819, 540, 519, 14230, 568, 849, 5594, 1114, 689, 1018, 649, 616, 1031, 547, 609, 513, 2582, 9206, 18251, 269, 1677, 5173, 519, 14230, 267, 649, 1631, 1491, 519, 2063, 14230, 7857, 543, 1039, 621, 547, 519, 4395, 540, 519, 14230, 9704, 540, 519, 19362, 269, 901, 3947, 721, 476, 271, 4817, 780, 10190, 649, 5173, 519, 2040, 540, 519, 3444, 1790, 20094, 540, 519, 2063, 476, 273, 9704, 540, 519, 23479, 543, 519, 476, 273, 9206, 9704, 269, 634, 2040, 540, 519, 3444, 2472, 538, 713, 2013, 568, 476, 272, 1535, 476, 274, 1341, 476, 272, 1535, 476, 273, 815, 476, 276, 269, 1284, 9062, 713, 676, 519, 1379, 540, 476, 1015, 602, 814, 519, 1482, 1297, 540, 9704, 607, 519, 1297, 540, 9206, 9704, 269, 769, 713, 2013, 267, 602, 1379, 540, 476, 1015, 568, 476, 1015, 3294, 269, 476, 271, 4817, 910, 476, 276, 1535, 476, 1015, 815, 476, 3393, 780, 3086, 267, 607, 538, 519, 3992, 593, 19794, 543, 3444, 30150, 267, 649, 10208, 856, 689, 713, 267, 519, 7299, 1587, 540, 519, 2063, 7857, 540, 519, 23479, 543, 519, 2063, 9206, 7857, 269, 901, 7299, 1587, 568, 476, 274, 1535, 476, 273, 815, 476, 277, 269, 476, 3393, 910, 476, 277, 815, 476, 4375, 267, 543, 713, 3587, 519, 14230, 585, 519, 6498, 1966, 269, 901, 568, 3254, 538, 519, 4137, 2630, 1384, 1892, 1321, 454, 273, 11598, 347, 280, 476, 278, 476, 278, 476, 280, 347, 4817, 454, 11598, 1892, 347, 476, 272, 476, 272, 476, 272, 476, 271, 454, 2411, 734, 454, 11598, 271, 347, 275, 476, 277, 476, 272, 476, 274, 347, 4375, 692, 2005, 568, 2653, 547, 13182, 602, 513, 23479, 540, 476, 5379, 272, 274, 543, 513, 14230, 540, 476, 4375, 568, 8197, 519, 2953, 3070, 547, 519, 2820, 2581, 1966, 649, 9333, 809, 547, 4194, 780, 763, 1739, 3268, 2491, 519, 1184, 547, 581, 1031, 950, 12270, 609, 811, 982, 835, 9206, 7857, 1384, 1892, 634, 19362, 568, 5258, 883, 23479, 543, 14230, 9704, 971, 602, 519, 1297, 540, 14230, 9704, 568, 519, 1482, 607, 519, 1297, 540, 9206, 9704, 454, 1892, 634, 1101, 23479, 7857, 568, 5833, 676, 12270, 519, 1101, 7857, 630, 528, 9704, 952, 2556, 264, 540, 519, 19362, 676, 519, 3490, 7857, 4433, 264, 540, 519, 14009, 454, 1892, 634, 14230, 689, 519, 1657, 6498, 568, 5116, 538, 4395, 540, 519, 1985, 19362, 7857, 547, 1106, 513, 476, 273, 18251, 1297, 454, 1892, 22087, 519, 23479, 609, 4642, 525, 547, 519, 2451, 971, 602, 519, 1297, 540, 23479, 9704, 568, 519, 1482, 607, 519, 1297, 540, 9206, 9704, 454, 1892, 634, 2063, 562, 630, 3602, 562, 568, 519, 1297, 540, 9206, 9704, 264, 23479, 9704, 616, 1287, 16611, 543, 3773, 19794, 543, 3444, 30150, 609, 519, 9206, 9704, 543, 713, 2040, 540, 2472, 568, 10208, 539, 689, 519, 476, 273, 18251, 1297, 649, 5833, 4505, 676, 11093, 519, 14230, 1354, 519, 1985, 7857, 540, 519, 19362, 269, 901, 3947, 721, 519, 1985, 13591, 19362, 454, 1892, 634, 13591, 19362, 568, 5258, 676, 519, 3490, 7857, 4433, 264, 540, 519, 14009, 585, 519, 1985, 23479, 543, 14230, 269, 634, 23479, 4422, 593, 519, 23479, 1899, 543, 519, 14230, 4422, 538, 4395, 540, 519, 1985, 7857, 540, 519, 19362, 547, 1106, 513, 476, 273, 18251, 1297, 454, 1892, 1284, 1631, 8399, 676, 12719, 519, 2040, 540, 3444, 1790, 20094, 1210, 519, 2063, 562, 9704, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9064, 1422, 2431, 8203, 273, 268, 272, 9368, 264, 323, 24592, 14204, 866, 692, 2171, 2697, 602, 519, 7533, 814, 519, 1106, 4399, 842, 315, 11927, 317, 332, 3287, 9385, 5913, 18898, 3287, 264, 11459, 10608, 1403, 1269, 333, 259, 568, 9642, 543, 1269, 332, 259, 568, 1256, 267, 1287, 649, 991, 547, 2769, 3388, 538, 2474, 540, 3813, 656, 267, 4228, 543, 11753, 1142, 1599, 14384, 692, 259, 275, 315, 11927, 13375, 7268, 9064, 1422, 2431, 9385, 5913, 13375, 7268, 9064, 1422, 2431, 9984, 275, 315, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 9385, 3847, 7268, 5913, 13375, 7268, 9064, 1422, 2431, 8203, 273, 268, 272, 9368, 264, 323, 24592, 6911, 11372, 17586, 519, 2582, 2165, 4399, 5913, 13375, 7268, 9064, 1422, 2431, 7751, 676, 1142, 2165, 540, 519, 9971, 4399, 3847, 7268, 5913, 13375, 7268, 9064, 1422, 2431, 8203, 273, 268, 272, 9368, 22491, 7445, 842, 13375, 7268, 5913, 13375, 7268, 9064, 1422, 2431, 8203, 273, 315, 5913, 13375, 7268, 9064, 1422, 2431, 9984, 315, 5913, 13375, 7268, 9064, 1422, 2431, 9385, 2431, 22491, 2691, 14921, 23055, 609, 1482, 3490, 596, 666, 1039, 519, 23055, 281, 4399, 5913, 13375, 7268, 9064, 1422, 2431, 8203, 273, 315, 5913, 13375, 7268, 9064, 1422, 2431, 22491, 259, 275, 315, 11927, 13375, 7268, 9064, 1422, 2431, 9385, 5913, 13375, 7268, 9064, 1422, 2431, 9984, 275, 315, 842, 13375, 7268, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 274, 32757, 5913, 13375, 7268, 9064, 1422, 2431, 9385, 2431, 264, 323, 24592, 14204, 736, 692, 11372, 17586, 519, 2582, 2165, 4399, 5913, 13375, 7268, 9064, 1422, 2431, 7751, 676, 1142, 2165, 540, 519, 9971, 4399, 3847, 7268, 5913, 13375, 7268, 9064, 1422, 2431, 8203, 273, 268, 272, 9368, 22491, 259, 275, 315, 11927, 13375, 7268, 9064, 1422, 2431, 9385, 5913, 13375, 7268, 9064, 1422, 2431, 9984, 275, 315, 842, 13375, 7268, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 274, 32757, 5913, 13375, 7268, 9064, 1422, 2431, 9385, 2431, 264, 323, 24592, 14204, 2641, 692, 22091, 663, 519, 7533, 4399, 842, 13375, 7268, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 274, 32757, 5913, 13375, 7268, 9064, 1422, 2431, 9385, 2431, 264, 323, 24592, 259, 883, 1269, 273, 259, 29398, 1210, 519, 2040, 4341, 585, 29398, 267, 547, 1287, 4194, 1142, 7533, 14384, 692, 259, 275, 315, 11927, 13375, 7268, 9064, 1422, 2431, 9385, 5913, 13375, 7268, 9064, 1422, 2431, 9984, 275, 315, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 274, 348, 323, 24592, 268, 275, 315, 842, 10559, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 6911, 2750, 12304, 519, 4756, 4399, 9064, 259, 538, 2474, 540, 519, 3312, 4756, 1269, 343, 6911, 259, 275, 21702, 12757, 2410, 273, 4153, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 18511, 275, 315, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 274, 348, 323, 24592, 268, 275, 315, 842, 10559, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 6911, 11372, 28745, 519, 6824, 676, 1269, 275, 13375, 7268, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 4153, 2431, 22491, 7445, 6912, 12757, 317, 273, 266, 275, 26507, 268, 275, 315, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 274, 348, 323, 24592, 268, 275, 315, 842, 10559, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 14204, 2420, 692, 2750, 12304, 519, 4756, 4399, 9064, 259, 538, 2474, 540, 519, 3312, 4756, 1269, 343, 6911, 7445, 6912, 12757, 317, 273, 266, 275, 26507, 268, 275, 315, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 274, 348, 323, 24592, 268, 275, 315, 842, 10559, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 6911, 8245, 680, 1518, 519, 7533, 4399, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 274, 348, 323, 24592, 259, 7311, 519, 5786, 4542, 267, 4399, 6234, 315, 842, 315, 5913, 3287, 22722, 333, 348, 11459, 7807, 2765, 3189, 7562, 3287, 9385, 5913, 3287, 22722, 333, 268, 272, 12453, 333, 268, 272, 23180, 2765, 23533, 268, 273, 2410, 333, 268, 272, 4153, 842, 315, 5913, 3287, 22722, 333, 268, 273, 348, 11459, 6911, 27572, 275, 13375, 7268, 2765, 3189, 7562, 13375, 7268, 9064, 1422, 2431, 9385, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 273, 12453, 274, 268, 272, 23180, 2765, 346, 274, 268, 273, 2410, 274, 268, 272, 4153, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 9368, 22491, 24169, 519, 1587, 1269, 268, 275, 13375, 7268, 2765, 3189, 7562, 13375, 7268, 9064, 1422, 2431, 9385, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 273, 12453, 274, 268, 272, 23180, 2765, 346, 274, 268, 273, 2410, 274, 268, 272, 4153, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 9368, 22491, 27572, 275, 13375, 7268, 2765, 3189, 7562, 13375, 7268, 9064, 1422, 2431, 9385, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 273, 12453, 273, 4153, 2431, 9984, 273, 315, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 6911, 8245, 680, 1518, 519, 6824, 1269, 268, 275, 13375, 7268, 2765, 3189, 7562, 13375, 7268, 9064, 1422, 2431, 9385, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 273, 12453, 273, 4153, 2431, 22491, 27572, 273, 315, 7562, 13375, 7268, 9064, 1422, 2431, 9385, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 273, 18511, 273, 315, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 6911, 2750, 12304, 519, 4756, 4399, 9064, 259, 538, 2474, 540, 519, 3312, 4756, 1269, 343, 6911, 259, 10559, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 268, 273, 315, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 6911, 763, 7533, 540, 519, 3813, 656, 1599, 568, 2016, 676, 519, 1739, 4542, 267, 4399, 6234, 315, 842, 315, 5913, 3287, 264, 11459, 7807, 15238, 13375, 24689, 5913, 3287, 264, 10954, 11927, 3287, 9385, 2431, 347, 6911, 259, 10559, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 268, 273, 315, 15238, 13375, 24689, 5913, 13375, 7268, 9064, 1422, 2431, 264, 10954, 11927, 13375, 7268, 9064, 1422, 2431, 9385, 2431, 347, 6911, 2750, 12304, 519, 4756, 4399, 9064, 259, 538, 2474, 540, 519, 3312, 4756, 1269, 343, 6911, 259, 10559, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 268, 273, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 347, 14204, 2537, 692, 763, 7533, 1269, 268, 275, 315, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 22722, 274, 348, 323, 24592, 259, 2164, 538, 281, 1269, 10559, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 268, 273, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 347, 6911, 259, 10559, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 268, 273, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 347, 14204, 2190, 692, 294, 1430, 519, 2164, 540, 782, 29398, 692, 7445, 6912, 12757, 317, 273, 266, 275, 26507, 268, 273, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 347, 10559, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 268, 275, 315, 842, 10559, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 14204, 1839, 692, 23382, 1456, 899, 2474, 4399, 6912, 12757, 317, 273, 266, 275, 26507, 259, 543, 1269, 10559, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 6911, 7445, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 268, 273, 315, 15238, 13375, 7268, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 9984, 275, 315, 842, 10559, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 6911, 763, 7533, 540, 513, 1599, 2053, 513, 3586, 18121, 268, 272, 259, 264, 568, 3160, 547, 519, 3586, 2053, 519, 7533, 540, 519, 1599, 692, 259, 275, 315, 842, 315, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 6911, 763, 7533, 540, 519, 3813, 656, 1599, 568, 2016, 676, 519, 1739, 4542, 267, 4399, 6234, 315, 842, 315, 5913, 3287, 264, 11459, 7807, 15238, 13375, 24689, 5913, 3287, 264, 10954, 11927, 3287, 9385, 2431, 347, 6911, 259, 275, 315, 15238, 13375, 24689, 5913, 13375, 7268, 9064, 1422, 2431, 264, 10954, 11927, 13375, 7268, 9064, 1422, 2431, 9385, 2431, 347, 6911, 2750, 12304, 519, 4756, 4399, 9064, 259, 538, 2474, 540, 519, 3312, 4756, 1269, 343, 6911, 259, 275, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 347, 14204, 2918, 692, 763, 7533, 1269, 268, 275, 315, 842, 10559, 5913, 13375, 7268, 9064, 1422, 2431, 264, 323, 24592, 259, 2164, 538, 281, 1269, 275, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 347, 6911, 259, 275, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 347, 14204, 2767, 692, 294, 1430, 519, 2164, 540, 782, 29398, 692, 7445, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 268, 273, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 347, 266, 275, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 347, 14204, 2764, 692, 23382, 1456, 899, 2474, 1269, 268, 273, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 347, 259, 543, 1269, 275, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 347, 6911, 7445, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 266, 273, 315, 15238, 13375, 7268, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 12453, 273, 23180, 2765, 12757, 2410, 273, 4153, 2431, 7751, 454, 3066, 692, 763, 2547, 1455, 2789, 630, 9448, 300, 264, 540, 513, 2040, 540, 15821, 8454, 5161, 540, 519, 1587, 540, 519, 1455, 2188, 609, 519, 6574, 20800, 267, 543, 519, 16613, 2188, 692, 259, 299, 5861, 8160, 269, 284, 273, 14204, 1789, 692, 23382, 710, 543, 14458, 782, 2474, 538, 519, 1482, 6824, 609, 1455, 14009, 1269, 273, 6911, 7445, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 266, 273, 315, 15238, 13375, 7268, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 15396, 343, 2410, 273, 4153, 2431, 7751, 454, 4029, 692, 2026, 519, 7533, 602, 649, 616, 6061, 568, 606, 22543, 9548, 7533, 267, 950, 649, 9096, 10128, 649, 1590, 1039, 519, 3586, 540, 5610, 1269, 290, 6911, 7445, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 266, 273, 315, 15238, 13375, 24689, 2765, 3189, 6912, 12757, 317, 273, 266, 275, 15396, 343, 2410, 273, 4153, 2431, 347, 266, 290, 318, 271, 14204, 3953, 692, 8245, 680, 1518, 519, 4082, 676, 7311, 30233, 3601, 692, 7445, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 266, 273, 315, 15238, 13375, 24689, 6912, 12757, 317, 273, 266, 275, 15396, 343, 9368, 347, 266, 290, 318, 272, 6911, 1012, 476, 426, 510, 481, 15937, 2626, 547, 519, 1966, 692, 7445, 2765, 346, 272, 2410, 273, 4153, 6912, 12757, 317, 273, 266, 275, 26507, 266, 273, 315, 15238, 13375, 24689, 6912, 12757, 317, 273, 266, 275, 15396, 343, 9368, 347, 266, 290, 318, 272, 6911, 2162, 3657, 596, 10010, 609, 2979, 2496, 16966, 2143, 1900, 676, 1900, 3435, 547, 5215, 540, 2042, 267, 3395, 1169, 1554, 256, 0, 258, 20145, 17072, 692, 15612, 639, 6435, 17072, 692, 272, 269, 12693, 20145, 11872, 692, 1892, 1234, 18680, 281, 476, 4817, 454, 1892, 14358, 281, 476, 1428, 267, 27944, 454, 13202, 476, 1704, 628, 476, 1001, 278, 267, 476, 4962, 281, 6187, 7537, 454, 273, 269, 12693, 13823, 2563, 20861, 547, 13038, 16949, 692, 1892, 1234, 18680 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 901, 1797, 602, 1169, 12558, 666, 2356, 1796, 4805, 267, 855, 950, 9763, 1927, 267, 789, 1628, 2390, 1142, 824, 543, 1711, 513, 3677, 2239, 9095, 780, 2162, 2878, 13434, 584, 2590, 16992, 12533, 288, 1895, 540, 1292, 3197, 4749, 2408, 2429, 519, 14501, 267, 3850, 9458, 547, 1831, 7923, 547, 741, 14789, 543, 28031, 802, 269, 7348, 619, 1205, 547, 917, 891, 2043, 1360, 1134, 936, 942, 267, 3056, 547, 2799, 6278, 609, 519, 1982, 780, 2162, 2878, 24109, 528, 543, 8752, 570, 821, 12533, 306, 527, 1260, 338, 946, 9644, 607, 741, 3119, 1907, 585, 9423, 267, 17935, 547, 7038, 543, 27873, 2864, 982, 28596, 2620, 7553, 610, 10994, 3978, 5396, 269, 1717, 267, 930, 949, 6451, 4514, 4798, 5705, 569, 18955, 883, 519, 635, 14037, 5958, 780, 3086, 1577, 781, 1491, 513, 6251, 1413, 693, 834, 2710, 2758, 5808, 3010, 257, 2710, 2758, 5808, 9899, 1323, 27748, 545, 3703, 23063, 1260, 454, 5785, 14945, 23192, 3812, 676, 519, 18917, 267, 834, 2710, 2758, 5808, 257, 5205, 519, 9035, 540, 634, 16362, 267, 513, 12357, 9813, 5384, 7083, 945, 12599, 2066, 2230, 543, 942, 538, 1010, 11599, 4544, 4216, 1634, 607, 519, 570, 19181, 3041, 269, 10801, 922, 1279, 2196, 267, 519, 1397, 814, 12286, 3875, 11051, 4730, 519, 1909, 540, 634, 16362, 1813, 547, 922, 15931, 1523, 540, 20344, 1107, 8164, 634, 16362, 10523, 267, 646, 2501, 1394, 547, 1272, 609, 513, 4625, 1007, 5920, 543, 7209, 780, 5278, 4128, 1946, 834, 2710, 2758, 5808, 257, 6763, 856, 607, 606, 11108, 1694, 1260, 616, 1384, 265, 2878, 4462, 1664, 20031, 1047, 5093, 2060, 922, 2257, 5708, 4259, 543, 28531, 2035, 899, 942, 2951, 543, 13341, 609, 1585, 31373, 14111, 7919, 267, 834, 2710, 2758, 5808, 257, 3091, 513, 4195, 543, 19511, 20457, 585, 554, 559, 13895, 15413, 3547, 563, 265, 2878, 8777, 1645, 9452, 6050, 5093, 6736, 922, 8398, 21288, 2470, 267, 519, 1397, 16621, 17626, 1242, 9095, 338, 543, 3929, 3178, 267, 2870, 8903, 6386, 602, 1832, 9458, 16539, 563, 265, 2878, 17484, 8960, 16992, 5093, 3245, 561, 990, 762, 15274, 547, 524, 7342, 5636, 1622, 267, 834, 2710, 2758, 5808, 257, 19646, 513, 5641, 540, 12300, 543, 1439, 8960, 3197, 602, 13469, 609, 11655, 540, 782, 6502, 563, 265, 2878, 23873, 9966, 528, 5093, 19612, 585, 922, 3819, 18854, 543, 26137, 19259, 267, 3703, 9644, 8591, 1776, 4494, 540, 10508, 547, 519, 2907, 9159, 8941, 540, 634, 16362, 543, 1010, 2828, 780, 2414, 2417, 5660, 834, 2710, 2758, 5808, 2437, 2015, 8384, 513, 1906, 5697, 14501, 610, 24056, 2228, 269, 1411, 786, 3533, 1174, 1946, 621, 3788, 865, 2442, 1310, 2947, 5756, 593, 2011, 256, 1635, 1620, 1018, 2306, 1694, 1260, 338, 2027, 543, 7680, 20250, 519, 9059, 540, 834, 2710, 2758, 5808, 2437, 596, 3513, 2744, 3407, 4030, 883, 519, 4241, 7706, 540, 7900, 6575, 593, 8613, 269, 8414, 13156, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 290, 761, 923, 685, 623, 6506, 281, 8734, 269, 476, 2420, 268, 2764, 267, 476, 1001, 274, 454, 299, 657, 13353, 8648, 9913, 267, 6575, 543, 2528, 13915, 3442, 519, 3018, 779, 1034, 29810, 23761, 267, 1007, 13847, 267, 5571, 2621, 543, 4025, 547, 979, 538, 543, 1472, 8828, 4993, 563, 1607, 3018, 7436, 519, 476, 2004, 628, 16683, 540, 519, 2669, 540, 5518, 3627, 674, 269, 17394, 267, 543, 13334, 3947, 721, 513, 1413, 693, 875, 8106, 2575, 5280, 519, 4182, 11883, 269, 2201, 7641, 267, 18917, 22842, 519, 476, 2004, 628, 16683, 540, 968, 2710, 2758, 5808, 1848, 1656, 693, 519, 9413, 267, 1079, 14195, 5559, 553, 616, 3001, 563, 12812, 998, 547, 2263, 811, 543, 267, 1141, 10858, 267, 1265, 8846, 547, 28503, 563, 2108, 5475, 4118, 892, 568, 513, 23038, 17850, 24320, 2213, 607, 513, 4278, 14525, 269, 4706, 14042, 1650, 3322, 7642, 543, 519, 14195, 267, 2943, 711, 513, 2582, 6014, 1915, 5526, 593, 1606, 10547, 269, 5502, 972, 616, 1152, 2717, 525, 267, 21679, 547, 1114, 5232, 609, 513, 1686, 602, 568, 607, 2352, 607, 621, 568, 1950, 269, 1403, 519, 9976, 5261, 674, 4954, 30742, 10839, 968, 763, 2250, 568, 2760, 4666, 267, 621, 779, 711, 1256, 2250, 892, 568, 3020, 9170, 267, 621, 779, 538, 12996, 267, 1141, 713, 4670, 729, 1500, 543, 3361, 513, 562, 10620, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25783, 19489, 300, 5058, 8121, 4811, 1315, 27657, 1315, 2637, 637, 1315, 1290, 9037, 1315, 23063, 1260, 338, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 4197, 16515, 828, 17533, 281, 4706, 2776, 28700, 543, 8177, 538, 3127, 692, 7072, 912, 307, 21310, 17533, 267, 1419, 5219, 547, 607, 19505, 267, 568, 513, 4049, 3968, 602, 5097, 5540, 519, 9641, 855, 666, 1764, 824, 2694, 540, 519, 1560, 1932, 269, 901, 3184, 786, 948, 596, 1174, 1018, 21061, 568, 267, 1141, 621, 781, 1034, 1455, 267, 543, 875, 621, 814, 4299, 1004, 2713, 538, 1114, 4525, 540, 3127, 269, 1635, 1565, 827, 713, 2629, 1072, 3390, 267, 649, 4126, 596, 1831, 811, 3222, 540, 922, 6228, 543, 1020, 6568, 2509, 1346, 945, 7985, 689, 621, 780, 1432, 568, 16515, 828, 17533, 888, 5331, 2348, 513, 10770, 11522, 602, 3085, 1405, 979, 2476, 1256, 1310, 1896, 4374, 256, 2334, 1223, 581, 835, 1129, 540, 21061, 269, 1879, 2576, 814, 19505, 267, 741, 1560, 8188, 7411, 8165, 1055, 4551, 602, 2014, 713, 4576, 269, 1306, 513, 1267, 267, 6263, 23197, 20256, 5627, 891, 17900, 1205, 5950, 883, 519, 2011, 950, 7783, 2043, 14229, 324, 2763, 267, 11522, 267, 610, 14902, 269, 1403, 1866, 13236, 538, 891, 20256, 267, 789, 1522, 4579, 21061, 1932, 269, 1717, 267, 711, 3025, 6534, 547, 19505, 786, 8209, 1831, 7210, 282, 938, 4761, 1062, 3006, 21314, 547, 1832, 519, 4551, 896, 1852, 780, 3963, 10312, 593, 3127, 888, 3086, 1577, 781, 2911, 827, 1946, 649, 2811, 2519, 4481, 593, 3127, 3823, 21061, 269, 4340, 547, 4966, 267, 3127, 8813, 1369, 513, 1895, 540, 2477, 1634, 607, 6828, 10001, 1107, 4025, 1141, 21061, 568, 7839, 267, 543, 972, 5749, 1405, 1082, 2318, 4191, 10834, 6454, 4166, 269, 1677, 2285, 596, 606, 2856, 540, 922, 3914, 267, 5176, 3368, 540, 519, 1158, 781, 1007, 19505, 2665, 2049, 538, 14913, 5607, 267, 5631, 538, 3127, 780, 7093, 28700, 26162, 281, 27915, 13560, 519, 10606, 454, 2691, 3173, 1616, 547, 917, 875, 1455, 1945, 568, 267, 789, 1419, 946, 2474, 899, 834, 2181, 28700, 2557, 1701, 1280, 3236, 267, 952, 2947, 3214, 538, 1169, 4627, 723, 513, 1880, 11442, 267, 649, 1131, 2161, 519, 9860, 2557, 540, 602, 11442, 568, 476, 276, 10065, 6684, 267, 538, 3127, 267, 5111, 2947, 856, 540, 1169, 8536, 1004, 2661, 609, 21061, 269, 1809, 3314, 267, 713, 1297, 10905, 1585, 2010, 540, 19505, 2665, 267, 1519, 7646, 3283, 602, 949, 711, 1397, 2589, 2943, 780, 10712, 792, 6261, 10737, 27418, 281, 1548, 6496, 901, 6399, 888, 1103, 2564, 1893, 267, 513, 834, 8243, 792, 257, 4016, 547, 4152, 513, 1268, 781, 838, 583, 636, 630, 320, 5394, 22024, 4172, 326, 1117, 909, 689, 519, 7929, 8778, 264, 585, 19505, 4551, 269, 1924, 950, 649, 1865, 1159, 792, 25698, 2665, 267, 649, 1611, 1346, 8320, 1141, 4255, 7866, 7298, 2963, 540, 3742, 19505, 4551, 269, 3204, 21884, 2406, 267, 3592, 1079, 856, 540, 1169, 8536, 12075, 3068, 971, 3871, 21496, 780, 25486, 783, 5549, 2064, 15580, 281, 18227, 25397, 540, 1715, 27418, 454, 5194, 2165, 1031, 676, 3744, 568, 834, 4532, 2064, 2437, 799, 6257, 1007, 2665, 16109, 1282, 513, 1808, 1974, 269, 7788, 1302, 267, 10199, 32210, 21144, 856, 540, 1169, 476, 1911, 267, 1822, 12075, 1995, 741, 1101, 12558, 540, 21061, 269, 5994, 707, 3003, 1153, 910, 1152, 2185, 1053, 3478, 8995, 609, 19505, 1142, 1032, 269, 10251, 267, 602, 781, 519, 4641, 585, 9118, 2950, 2066, 3127, 780, 8802, 1308, 20212, 17460, 454, 4407, 1620, 3084, 3466, 2337, 721, 9787, 519, 2462, 4605, 267, 6237, 7648, 2291, 1932, 269, 2368, 4095, 4525, 1867, 14887, 9283, 982, 1866, 267, 1247, 1978, 2516, 7703, 18219, 24675, 269, 2290, 1383, 2501, 689, 2961, 12832, 984, 541, 267, 1141, 513, 17174, 2551, 4810, 2810, 3928, 540, 21061, 1063, 476, 2735, 277, 543, 476, 1220, 273, 269, 20876, 891, 13103, 4665, 919, 3782, 4600, 543, 14519, 7567, 547, 2232, 10616, 538, 6604, 3646, 1732, 780, 6962, 912, 3528, 6313, 21061, 3270, 538, 3127, 267, 649, 1451, 3407, 4245, 827, 1857, 1072, 2591, 5001, 269, 3414, 2799, 4656, 543, 2069, 267, 2104, 5481, 666, 960, 1927, 547, 8396, 3676, 899, 19505, 3927, 269, 5457, 267, 1256, 1507, 3527, 3144, 15217, 666, 1711, 1713, 1689, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 3671, 655, 5735, 540, 21061, 2433, 7351, 4567, 538, 3127, 454, 2419, 752, 4599, 677, 344, 267, 589, 918, 454, 19328, 568, 9286, 2059, 609, 519, 1016, 25781, 3979, 2477, 547, 581, 1851, 1346, 609, 513, 1164, 11411, 543, 519, 2547, 16548, 540, 513, 7957, 24461, 942, 7678, 540, 519, 2068, 607, 540, 1631, 630, 27026, 10001, 2477, 1040, 634, 3328, 9860, 540, 782, 3029, 540, 21061, 538, 3127, 568, 6059, 547, 581, 476, 276, 269, 4962, 829, 8536, 267, 9860, 540, 1159, 792, 25698, 2665, 476, 273, 269, 2767, 829, 8536, 543, 3328, 5993, 11841, 540, 1159, 792, 25698, 2665, 693, 476, 10019, 829, 476, 272, 267, 876, 267, 1822, 12422, 563, 763, 17258, 543, 946, 540, 519, 9193, 616, 5941, 538, 1469, 269, 18614, 593, 2487, 2090, 593, 519, 942, 7678, 540, 519, 2068, 689, 930, 2127, 538, 3127, 267, 552, 3052, 1421, 932, 17532, 1584, 538, 20474, 24385, 340, 616, 5941, 269, 1358, 6166, 519, 3500, 18746, 7678, 936, 513, 9425, 1279, 1974, 540, 8343, 267, 607, 538, 519, 6917, 2127, 1472, 10854, 531, 648, 269, 898, 849, 14592, 519, 3978, 15583, 566, 540, 2068, 11411, 538, 513, 17174, 2551, 1895, 538, 2961, 12832, 984, 541, 936, 513, 1974, 476, 2735, 277, 268, 1220, 273, 267, 543, 8711, 519, 2470, 543, 6708, 540, 519, 2846, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 1763, 7808, 12140, 543, 4256, 8177, 692, 1103, 4516, 781, 2250, 267, 972, 729, 513, 942, 950, 519, 2229, 7142, 1082, 7087, 1453, 547, 4734, 741, 3885, 543, 2950, 547, 7390, 2027, 3506, 1572, 10821, 3506, 269, 1452, 3506, 941, 2813, 609, 519, 3804, 540, 15849, 559, 908, 7087, 1453, 883, 16402, 4211, 534, 6598, 2528, 267, 2495, 602, 519, 3506, 4941, 519, 1453, 547, 7340, 827, 741, 1378, 5389, 267, 4654, 267, 543, 2081, 540, 1272, 543, 9772, 1346, 540, 3864, 13896, 3079, 269, 901, 3609, 1185, 14042, 2360, 593, 7087, 9082, 543, 741, 4529, 267, 543, 621, 814, 2451, 2620, 26711, 602, 2611, 1256, 2221, 780, 5331, 1373, 3144, 2476, 689, 707, 1753, 693, 513, 1360, 1762, 2085, 1765, 16673, 2041, 1175, 3670, 610, 5722, 1296, 2025, 269, 1411, 1131, 723, 547, 2161, 1434, 25742, 547, 707, 3237, 267, 16254, 267, 22594, 267, 543, 2828, 269, 5502, 540, 2713, 538, 707, 18241, 2777, 610, 2879, 1872, 3786, 267, 596, 1131, 1631, 2661, 538, 513, 2462, 267, 14542, 2679, 2484, 689, 3388, 596, 917, 269, 2659, 2395, 1131, 1100, 3476, 581, 6170, 4730, 3756, 3544, 267, 6947, 547, 2984, 5143, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8512, 338, 540, 606, 2037, 975, 324, 454, 5319, 975, 525, 616, 606, 1898, 851, 540, 4948, 2792, 538, 2221, 779, 1158, 269, 2060, 741, 11599, 14328, 3337, 267, 789, 616, 1419, 3144, 585, 11292, 267, 2943, 789, 3136, 547, 1404, 606, 1271, 1909, 538, 519, 4859, 543, 3560, 540, 6054, 543, 5022, 269, 2755, 1082, 1004, 949, 1589, 602, 17158, 525, 616, 513, 2241, 6221, 267, 741, 1374, 543, 4070, 616, 811, 1950, 982, 835, 1522, 1589, 269, 3371, 616, 930, 540, 519, 2694, 540, 606, 23508, 543, 741, 1599, 912, 14503, 777, 281, 634, 1166, 777, 568, 519, 1283, 851, 540, 519, 23508, 602, 26642, 1524, 547, 3382, 519, 9115, 269, 634, 1166, 777, 666, 581, 2786, 610, 11329, 267, 543, 621, 666, 581, 20177, 538, 1585, 2081, 267, 971, 607, 609, 23287, 11746, 267, 15441, 267, 610, 513, 7509, 19840, 17300, 13021, 563, 5353, 531, 281, 634, 13021, 568, 519, 23287, 15441, 602, 3813, 999, 519, 1166, 777, 547, 519, 23508, 269, 898, 2501, 538, 1079, 1292, 2010, 1107, 10733, 4364, 543, 1582, 14194, 1127, 633, 269, 717, 636, 4364, 20910, 2154, 7509, 547, 19334, 519, 15441, 267, 1247, 1582, 14194, 1127, 633, 20910, 2907, 723, 23287, 25380, 543, 666, 581, 20177, 676, 3274, 10296, 519, 1166, 777, 563, 20360, 578, 281, 2368, 17158, 525, 723, 513, 2312, 5068, 6885, 593, 519, 4395, 269, 901, 2636, 585, 519, 2232, 593, 519, 3561, 3330, 547, 1397, 998, 267, 14874, 519, 991, 547, 2328, 519, 2232, 593, 519, 23508, 3294, 563, 23917, 281, 2037, 975, 525, 2097, 538, 513, 3099, 540, 7306, 267, 4470, 593, 519, 1826, 540, 3561, 610, 6221, 20583, 269, 15019, 7306, 1331, 1948, 1015, 17158, 525, 585, 5022, 267, 589, 278, 585, 1045, 14591, 610, 28551, 6486, 267, 543, 595, 275, 585, 6054, 563, 14503, 777, 18112, 550, 566, 281, 634, 10066, 540, 519, 1166, 777, 666, 4268, 689, 23508, 547, 23508, 269, 634, 1034, 1455, 10066, 568, 519, 4009, 1166, 777, 267, 1141, 519, 1166, 777, 568, 593, 519, 1283, 540, 519, 23508, 269, 1717, 267, 930, 17158, 525, 723, 513, 15497, 9378, 610, 513, 2427, 9378, 267, 799, 666, 1860, 519, 1259, 519, 23508, 568, 1031, 610, 544, 9229, 563, 300, 1468, 281, 2037, 975, 525, 666, 581, 1500, 540, 1114, 2326, 267, 1519, 1957, 267, 3556, 18450, 267, 543, 1256, 5068, 269, 634, 1570, 1031, 1419, 5673, 593, 519, 1826, 540, 6221, 1373, 544, 9229, 267, 607, 1134, 607, 519, 1377, 540, 4027, 2838, 563, 1103, 3932, 267, 17158, 525, 949, 3100, 899, 513, 2241, 1523, 267, 855, 741, 1374, 666, 581, 811, 7294, 982, 10742, 519, 3750, 269, 634, 1585, 2694, 540, 606, 23508, 267, 971, 607, 519, 1166, 777, 267, 13021, 267, 6885, 267, 2450, 267, 1166, 777, 10066, 267, 543, 1570, 267, 666, 782, 1860, 519, 10342, 543, 2949, 6165, 540, 519, 23508, 269, 6787, 11488, 513, 4484, 610, 544, 9430, 1271, 6054, 267, 519, 1318, 23508, 666, 1118, 513, 2462, 3017, 538, 4180, 602, 519, 6221, 21128, 693, 922, 10278, 9108, 543, 18172, 269, 0, 1103, 772, 5055, 534, 9346, 20345, 267, 31322, 267, 476, 1789, 260, 540, 10820, 538, 4683, 17260, 2661, 538, 2757, 5985, 17743, 902, 1765, 7970, 269, 901, 1353, 14592, 4683, 575, 619, 1759, 593, 513, 2361, 5619, 540, 476, 5392, 10820, 269, 634, 4589, 20272, 2230, 8022, 543, 8143, 4162, 540, 12908, 17158, 525, 267, 799, 616, 1898, 2188, 585, 519, 12998, 540, 2011, 14107, 1282, 24475, 269, 634, 2164, 2303, 519, 13766, 540, 14849, 3609, 6388, 540, 519, 1689, 540, 5755, 588, 7174, 547, 824, 14233, 609, 1732, 1648, 2773, 543, 2539, 12376, 656, 5434, 269, 4329, 267, 972, 568, 513, 991, 585, 1007, 267, 2688, 2213, 2409, 547, 2087, 519, 8143, 13471, 540, 575, 619, 267, 1759, 593, 2199, 4346, 543, 2115, 563, 21292, 281, 12124, 13016, 11175, 282, 12908, 282, 2757, 23029, 282, 8143, 13261, 7180, 282, 772, 5055, 534, 9346, 20345, 267, 31322, 0, 1103, 713, 1353, 267, 606, 4603, 729, 5645, 856, 547, 2268, 519, 2773, 540, 513, 18232, 13617, 609, 476, 4792, 334, 25626, 5086, 269, 634, 6482, 540, 12740, 543, 8749, 593, 519, 18232, 13617, 609, 543, 1510, 11919, 27103, 1807, 729, 519, 1292, 1445, 540, 713, 1382, 269, 11638, 5937, 9720, 11919, 27103, 1807, 729, 8045, 593, 1283, 540, 519, 13617, 269, 634, 4603, 729, 5342, 538, 513, 2842, 15993, 609, 513, 1863, 6908, 6991, 540, 476, 276, 269, 10619, 544, 4882, 610, 693, 32083, 1297, 540, 476, 279, 1789, 876, 269, 634, 2773, 540, 519, 13617, 729, 9797, 4299, 676, 519, 946, 540, 11919, 27103, 1807, 267, 8612, 676, 519, 2810, 12740, 11664, 543, 519, 13302, 8749, 11664, 267, 607, 5021, 2333, 540, 476, 271, 269, 271, 4281, 538, 12740, 11664, 543, 476, 271, 269, 4962, 274, 6175, 538, 8749, 11664, 941, 5833, 563, 21292, 281, 18232, 13617, 267, 11919, 267, 27103, 1807, 267, 12740, 267, 8749, 0, 2005, 779, 5863, 602, 930, 540, 519, 2409, 540, 8156, 1072, 2042, 1869, 723, 13218, 547, 3504, 2564, 524, 999, 1031, 676, 519, 16380, 543, 21072, 269, 1635, 4693, 543, 5470, 267, 1004, 540, 519, 2250, 941, 2111, 547, 1711, 513, 2039, 540, 14319, 1510, 519, 4359, 2029, 649, 723, 2221, 269, 769, 713, 2376, 267, 596, 786, 1451, 930, 540, 519, 2564, 5813, 602, 814, 15068, 936, 519, 5553, 563, 763, 9147, 21072, 454, 4415, 13099, 344, 686, 6580, 1394, 547, 476, 1220, 271, 547, 476, 8182, 271, 14514, 267, 519, 3504, 21072, 4866, 547, 519, 1101, 10340, 20295, 609, 10916, 741, 2564, 29293, 269, 26006, 5129, 606, 1271, 1909, 538, 3504, 12266, 7067, 269, 1280, 26784, 267, 519, 2067, 15084, 602, 621, 3568, 729, 3501, 585, 19703, 16398, 543, 8156, 10108, 602, 16091, 519, 1560, 267, 1519, 519, 3750, 269, 590, 648, 31462, 1846, 28322, 689, 9932, 543, 2564, 2152, 7282, 519, 9667, 1062, 849, 15527, 563, 17457, 4255, 2944, 593, 9932, 1397, 602, 519, 15084, 3601, 616, 8076, 543, 723, 519, 1379, 547, 948, 12115, 16398, 602, 723, 1831, 7783, 676, 8380, 606, 1439, 547, 519, 3262, 540, 3968, 269, 26006, 814, 8810, 2500, 1996, 19182, 6347, 2073, 513, 3463, 602, 726, 8046, 1082, 10506, 269, 4033, 3096, 585, 9932, 538, 519, 2564, 1158, 1331, 3432, 532, 909, 519, 7067, 1184, 267, 13302, 6553, 267, 543, 1447, 2287, 519, 1981, 540, 3384, 26711, 1310, 7092, 513, 3978, 10138, 563, 26123, 21072, 849, 4294, 9044, 8573, 5200, 3694, 547, 1930, 16398, 607, 513, 1259, 547, 2061, 3968, 269, 4653, 267, 649, 946, 606, 8242, 4528, 540, 713, 16185, 267, 607, 649, 1631, 917, 602, 835, 540, 519, 28633, 1459, 593, 519, 3694, 6923, 12958, 4050, 27957, 269, 898, 7012, 1406, 2394, 3592, 476, 275, 267, 1822, 1296, 2663, 602, 2413, 3744, 23125, 856, 519, 4276, 1063, 28633, 543, 7067, 563, 303, 1571, 585, 10361, 2851, 2073, 26194, 20215, 454, 29670, 1472, 476, 6110, 14514, 267, 26194, 20215, 729, 513, 1134, 8153, 10629, 540, 3504, 10255, 602, 814, 12236, 519, 28215, 968, 293, 1430, 540, 6925, 10200, 1261, 729, 513, 4464, 3206, 812, 540, 1010, 942, 267, 607, 646, 16053, 519, 22530, 1431, 543, 3909, 4978, 602, 27581, 3361, 4576, 543, 2968, 519, 1101, 10629, 20295, 609, 20857, 4514, 547, 1265, 519, 2707, 540, 2564, 2042, 563, 763, 786, 578, 3529, 729, 835, 1259, 26194, 20215, 11311, 524, 999, 585, 1072, 2152, 269, 1261, 1131, 946, 519, 13626, 543, 3762, 540, 519, 3529, 547, 8897, 1928, 543, 2569, 513, 8611, 269, 1677, 713, 1554, 267, 713, 476, 273, 267, 1822, 4458, 6040, 10826, 1869, 3470, 1161, 269, 634, 7145, 543, 1909, 602, 786, 578, 5129, 538, 8744, 1524, 513, 8611, 729, 12006, 538, 476, 12293, 274, 676, 513, 812, 3957, 1234, 3164, 526, 11977, 12942, 689, 932, 6235, 17368, 517, 267, 10228, 28790, 269, 1261, 2417, 11609, 547, 519, 1857, 1946, 26194, 20215, 685, 16185, 729, 513, 1967, 563, 763, 2038, 476, 866, 628, 2540, 4718, 519, 10072, 540, 2892, 5390, 997, 3679, 689, 786, 578, 543, 803, 27595, 11548, 267, 799, 2968, 1776, 2442, 12146, 538, 12563, 4915, 269, 6428, 5390, 997, 3679, 729, 5555, 10244, 539, 607, 513, 1928, 17212, 591, 267, 855, 950, 13950, 538, 1804, 5666, 267, 621, 3361, 2427, 2360, 267, 971, 607, 11702, 267, 16698, 547, 519, 23441, 1062, 267, 543, 538, 519, 10782, 2665, 2073, 2669, 269, 769, 476, 6977, 274, 267, 513, 3943, 10196, 3957, 8176, 12049, 20143, 15168, 14551, 339, 729, 519, 1101, 1268, 547, 5352, 1035, 25485, 2892, 5390, 997, 3679, 267, 799, 729, 6038, 30630, 676, 519, 4436, 14453, 2754, 7345, 518, 269, 4706, 1007, 2012, 729, 29469, 2073, 513, 1587, 1031, 2221, 602, 814, 3140, 13218, 547, 3504, 10255, 269, 0, 763, 3923, 540, 4873, 4564, 29233, 13600, 950, 649, 8661, 519, 11806, 266, 2146, 543, 519, 4339, 585, 3160, 2924, 563, 7468, 728, 13600, 16033, 919, 519, 476, 3422, 280, 12942, 13665, 26735, 32574, 538, 1715, 3840, 4975, 950, 7128, 986, 3660, 519, 14447, 8630, 269, 7324, 519, 1082, 3401, 540, 519, 27632, 1824, 729, 513, 4563, 267, 1098, 267, 25251, 4807, 267, 9370, 3873, 623, 9652, 267, 945, 3366, 519, 3350, 799, 4797, 936, 519, 1739, 3670, 2395, 269, 634, 3804, 540, 519, 17600, 729, 2241, 281, 519, 10661, 540, 4025, 1141, 11806, 266, 1004, 1223, 979, 543, 581, 1930, 827, 741, 4638, 10066, 1510, 4250, 540, 1373, 18486, 563, 289, 650, 22735, 729, 519, 1101, 2475, 5518, 547, 13166, 5431, 29233, 13600, 538, 476, 1960, 280, 269, 4653, 267, 29233, 13600, 23327, 606, 4316, 585, 15287, 543, 8711, 1271, 3609, 543, 4199, 2152, 519, 11806, 266, 2146, 8188, 269, 1452, 3646, 616, 1175, 607, 1271, 2221, 607, 789, 941, 1394, 538, 519, 2038, 2395, 1813, 547, 519, 32117, 5208, 1996, 519, 2146, 1107, 538, 1880, 519, 19574, 2146, 269, 3958, 267, 538, 476, 1708, 274, 267, 11806, 266, 3906, 616, 32626, 811, 982, 476, 20981, 4550, 6441, 294, 6630, 304, 266, 12014, 5189, 2429, 519, 2197, 563, 9596, 811, 827, 29233, 676, 8220, 609, 519, 1739, 3906, 912, 301, 7614, 773, 7935, 1188, 1923, 21145, 15440, 1107, 9941, 4252, 267, 645, 17928, 9501, 3036, 4811, 0, 22492, 17136, 834, 305, 732, 543, 7736, 2438, 7233, 11094, 538, 519, 12745, 540, 6820, 15448, 4840, 291, 1737, 1467, 585, 12377, 22347, 3827, 281, 476, 4029, 5239, 476, 1708, 274, 1923, 7348, 539, 676, 476, 13078, 277, 454, 19950, 338, 281, 2030, 14498, 282, 5726, 7350, 282, 2359, 540, 6870, 2127, 282, 12362, 2371, 282, 5117, 9056, 566, 454, 763, 5726, 540, 12219, 2371, 3330, 543, 3544, 540, 6870, 2127, 568, 606, 2025, 6161, 540, 3744, 543, 513, 10862, 538, 519, 1699, 2796, 267, 538, 799, 519, 2604, 593, 8134, 267, 2067, 9249, 267, 543, 2249, 568, 2810, 1813, 547, 8103, 781, 2799, 991, 585, 2067, 2200, 607, 1134, 607, 1813, 547, 2916, 1689, 267, 799, 12958, 3606, 2566, 593, 519, 2067, 1604, 543, 814, 17697, 2360, 593, 9265, 269, 589, 1732, 1702, 540, 6211, 4763, 267, 1519, 4686, 543, 21049, 2371, 267, 519, 1732, 4027, 540, 3407, 2127, 676, 9750, 8733, 5121, 267, 519, 11808, 543, 4264, 2359, 540, 28811, 8134, 267, 543, 8396, 1154, 519, 2360, 540, 2518, 2242, 616, 6859, 270, 1260, 2466, 906, 540, 519, 3864, 5742, 538, 9167, 26085, 15613, 585, 476, 10711, 271, 269, 634, 5726, 540, 4686, 543, 21049, 2371, 568, 851, 540, 713, 4640, 1317, 789, 616, 519, 2609, 602, 616, 519, 1034, 6534, 547, 519, 8594, 540, 14486, 1996, 519, 4282, 540, 12012, 543, 27929, 2067, 9249, 538, 513, 2067, 1604, 602, 568, 7683, 4657, 563, 2414, 3035, 713, 7981, 17136, 267, 649, 16436, 20334, 538, 519, 2361, 540, 20239, 617, 1751, 5726, 547, 3565, 547, 519, 1702, 543, 6268, 540, 4686, 267, 21049, 267, 13155, 2030, 2249, 267, 543, 2030, 2950, 689, 1114, 8134, 543, 6915, 613, 7240, 4525, 543, 540, 2359, 3800, 602, 666, 2226, 610, 2087, 741, 5726, 563, 9209, 2873, 5059, 593, 519, 1739, 3584, 630, 8117, 849, 593, 824, 1644, 3584, 264, 616, 10950, 912, 268, 27824, 543, 21049, 2371, 543, 2030, 2950, 538, 1114, 2010, 540, 8134, 543, 519, 2188, 602, 3310, 741, 3892, 543, 4720, 3248, 268, 634, 834, 514, 2198, 257, 543, 834, 1410, 2198, 257, 5726, 540, 4686, 543, 21049, 2371, 3248, 268, 634, 1764, 540, 2518, 2242, 593, 4686, 543, 21049, 2371, 543, 2030, 2950, 3248, 268, 634, 1764, 540, 12362 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 260, 829, 1032, 31903, 12422, 267, 1018, 2040, 786, 581, 6394, 538, 476, 279, 1296, 286, 10758, 291, 2562, 14473, 4888, 26214, 14510, 667, 9128, 2207, 305, 3633, 4888, 26214, 14510, 476, 278, 269, 589, 28079, 11751, 513, 6405, 3575, 518, 693, 476, 1015, 269, 2201, 519, 1554, 1010, 1178, 2738, 517, 729, 4535, 267, 513, 812, 623, 6344, 267, 1822, 269, 876, 952, 6976, 538, 6666, 269, 634, 3575, 518, 949, 849, 20024, 547, 513, 3972, 2754, 513, 6190, 2179, 581, 12349, 676, 3888, 618, 547, 581, 6976, 1369, 476, 276, 540, 2724, 865, 602, 519, 7911, 1223, 4309, 2947, 1296, 269, 1403, 2724, 568, 4502, 476, 279, 9077, 3313, 519, 5993, 11033, 540, 623, 1015, 267, 1822, 1142, 585, 1010, 2852, 2179, 540, 1142, 5993, 8569, 267, 952, 782, 11033, 24875, 12375, 267, 4358, 609, 1010, 476, 1240, 628, 14512, 269, 616, 1500, 693, 4098, 540, 1142, 1032, 269, 9314, 693, 519, 2557, 540, 476, 1321, 260, 829, 3045, 636, 729, 547, 581, 6976, 593, 782, 5666, 540, 16005, 269, 1703, 729, 849, 513, 11865, 602, 519, 1178, 2738, 517, 1223, 1528, 547, 11198, 1100, 5993, 11033, 543, 4309, 513, 2582, 26686, 2179, 593, 1010, 476, 1839, 628, 14512, 269, 634, 1178, 2738, 517, 8359, 713, 4781, 269, 513, 269, 1215, 1454, 1705, 519, 7911, 4309, 607, 519, 2582, 8569, 286, 536, 269, 1215, 1454, 1705, 519, 22516, 16005, 286, 476, 279, 269, 589, 812, 568, 2451, 609, 606, 18472, 689, 1010, 4651, 269, 1261, 814, 606, 4781, 547, 4309, 623, 273, 631, 693, 519, 1439, 540, 476, 1015, 1296, 267, 2705, 646, 16858, 547, 4309, 519, 2724, 693, 519, 1439, 540, 1142, 1032, 585, 476, 276, 1296, 269, 1403, 1719, 2557, 568, 476, 279, 9077, 875, 1454, 1131, 646, 4309, 1169, 1032, 286, 476, 1556, 269, 1403, 623, 1015, 267, 1822, 568, 20024, 1142, 1032, 585, 476, 280, 1296, 267, 875, 1454, 3045, 8462, 666, 513, 1268, 1205, 12422, 689, 519, 4871, 1169, 1032, 585, 476, 279, 1296, 4358, 476, 272, 1032, 1310, 519, 476, 280, 628, 16005, 568, 1500, 269, 8779, 540, 2724, 568, 476, 1691, 260, 476, 280, 269, 1548, 568, 519, 19017, 1871, 540, 513, 8569, 540, 623, 476, 1321, 269, 589, 7963, 540, 623, 2412, 267, 1822, 267, 4171, 1719, 2557, 568, 476, 1428, 260, 476, 277, 267, 1822, 1169, 3670, 3275, 585, 476, 1626, 1296, 609, 1719, 31903, 5033, 1014, 333, 1302, 267, 568, 547, 581, 26809, 693, 476, 278, 260, 31903, 5033, 1014, 333, 1302, 286, 676, 513, 3126, 540, 476, 1015, 5033, 1014, 333, 783, 11033, 267, 519, 1101, 8569, 547, 581, 1500, 476, 277, 3275, 1310, 2204, 332, 566, 540, 519, 10211, 269, 634, 1101, 476, 277, 11033, 786, 581, 623, 277, 267, 1822, 1142, 267, 1247, 519, 6967, 476, 275, 11033, 786, 581, 3160, 543, 540, 971, 2179, 602, 519, 3803, 8569, 786, 5277, 622, 519, 7963, 269, 1548, 568, 519, 2179, 540, 519, 2063, 476, 275, 11033, 286, 4888, 26214, 14510, 667, 16604, 25783, 303, 4953, 308, 14510, 476, 1724, 269, 589, 812, 11751, 606, 3937, 28428, 623, 2568, 267, 1822, 476, 1626, 269, 1403, 2724, 568, 4502, 476, 279, 9077, 3313, 519, 1459, 2628, 762, 538, 476, 1321, 10116, 569, 11033, 267, 1142, 1871, 540, 513, 10419, 8462, 540, 623, 272, 267, 1822, 2628, 762, 12422, 267, 3888, 618, 2628, 762, 693, 519, 4098, 540, 1142, 609, 519, 1101, 8569, 1813, 693, 519, 1439, 540, 476, 276, 1296, 286, 1974, 269, 634, 2557, 540, 1719, 568, 476, 2190, 260, 31903, 10116, 569, 269, 1548, 568, 519, 2179, 540, 1142, 8569, 286, 476, 1691, 269, 589, 1978, 3959, 568, 1373, 4421, 543, 519, 8227, 476, 1704, 269, 1548, 2179, 540, 2724, 16539, 2221, 693, 476, 1428, 260, 4607, 1079, 536, 1749, 269, 1719, 666, 1683, 519, 1739, 25689, 281, 634, 1101, 536, 1342, 518, 6035, 547, 2628, 623, 6110, 267, 1822, 1142, 623, 1789, 267, 1822, 693, 519, 1439, 540, 1142, 1032, 585, 476, 277, 1296, 282, 1032, 585, 476, 276, 1296, 267, 1142, 8569, 568, 547, 581, 1500, 693, 623, 2412, 267, 1822, 585, 519, 1985, 476, 277, 1296, 543, 623, 2004, 267, 1822, 519, 4098, 540, 1142, 1032, 269, 634, 2034, 536, 1342, 518, 27502, 286, 6035, 547, 2628, 623, 13301, 267, 1822, 1101, 1032, 267, 623, 11740, 267, 1822, 519, 2034, 1032, 543, 623, 25851, 267, 1822, 1142, 1032, 585, 519, 1985, 476, 274, 1296, 267, 782, 11033, 786, 581, 1500, 693, 519, 4098, 540, 1142, 1032, 269, 1403, 2724, 568, 4502, 476, 736, 260, 31903, 12422, 267, 799, 19915, 1058, 519, 8227, 540, 519, 3959, 3398, 286, 476, 1240, 269, 623, 1839, 267, 1822, 568, 20024, 538, 513, 9806, 2272, 602, 17188, 476, 276, 260, 1719, 31903, 10859, 268, 2335, 1302, 269, 26321, 5993, 11198, 1023, 616, 547, 581, 1500, 689, 519, 2272, 4098, 835, 1032, 689, 1631, 543, 11173, 11014, 269, 14419, 519, 5021, 2179, 540, 3160, 5993, 11198, 1023, 269, 476, 1428, 269, 1548, 568, 519, 3045, 8462, 1813, 2348, 519, 1739, 1239, 286, 16316, 8569, 815, 623, 1321, 267, 1822, 7089, 540, 1296, 815, 476, 277, 1296, 9314, 2557, 815, 476, 1321, 260, 31903, 12422, 5254, 6938, 20846, 700, 12114, 667, 7968, 3918, 5746, 9569, 590, 2562, 32578, 674, 26685, 631, 24518, 7495, 476, 866, 269, 1323, 3937, 28428, 623, 7742, 267, 1822, 814, 606, 6059, 476, 2420, 269, 1323, 3937, 28428, 623, 7742, 267, 1822, 814, 606, 6059, 1272, 540, 476, 1428, 1296, 609, 513, 1433, 1871, 540, 623, 1789, 267, 1822, 693, 1272, 540, 476, 1428, 1296, 609, 513, 1433, 1871, 540, 623, 1789, 267, 1822, 693, 519, 1439, 540, 519, 1974, 269, 12433, 519, 28595, 519, 1439, 540, 519, 1974, 269, 30770, 519, 28595, 5279, 543, 922, 1433, 1871, 1310, 476, 1015, 1296, 269, 5279, 543, 922, 1433, 1871, 1310, 476, 1015, 1296, 267, 14322, 1775, 815, 476, 279, 10065, 476, 736, 269, 1323, 11653, 11751, 606, 3937, 585, 623, 4335, 267, 1822, 269, 476, 2537, 269, 589, 31076, 18294, 6718, 606, 4033, 9276, 1519, 10380, 2179, 539, 3937, 585, 623, 7871, 267, 1822, 543, 6976, 623, 272, 267, 4335, 585, 547, 623, 1789, 267, 1822, 269, 2311, 519, 1439, 540, 922, 6059, 3730, 1272, 26708, 543, 6765, 10997, 547, 519, 2816, 3135, 269, 634, 540, 476, 1015, 1296, 267, 519, 32006, 720, 1871, 786, 581, 476, 1015, 260, 540, 519, 3937, 814, 513, 3339, 1272, 540, 476, 1015, 1296, 609, 513, 1101, 1942, 269, 1548, 568, 519, 1433, 1871, 1310, 476, 276, 1296, 286, 4123, 2987, 1871, 540, 623, 276, 267, 1822, 1996, 519, 6718, 540, 513, 1007, 3937, 693, 519, 1439, 540, 519, 1899, 269, 14419, 519, 5993, 28595, 1942, 269, 27539, 1719, 693, 476, 277, 268, 272, 270, 273, 260, 31903, 12422, 269, 476, 2641, 269, 589, 3684, 3790, 623, 476, 279, 267, 1822, 269, 876, 543, 606, 6059, 1272, 476, 2190, 269, 589, 6109, 11751, 606, 3937, 585, 623, 6321, 267, 1822, 269, 4033, 540, 476, 1015, 1296, 609, 513, 32006, 720, 1871, 540, 623, 4335, 269, 876, 269, 9276, 1519, 10380, 2179, 539, 547, 1548, 568, 922, 1433, 1871, 1310, 476, 279, 1296, 286, 623, 275, 267, 1822, 269, 634, 3937, 568, 4397, 547, 723, 513, 1272, 540, 476, 1626, 1296, 609, 513, 32006, 720, 1871, 540, 476, 1015, 260, 540, 519, 3312, 1942, 269, 14419, 519, 1433, 1871, 693, 519, 1439, 540, 476, 1321, 1296, 693, 476, 1321, 260, 1719, 269, 590, 9331, 5508, 5990, 962, 292, 12678, 667, 5456, 3951, 631, 24518, 7495, 26480, 3951, 3201, 22003, 3633, 2910, 4306, 476, 1839, 269, 1323, 3937, 28428, 623, 7742, 267, 1822, 814, 606, 6059, 476, 2764, 269, 14419, 519, 3854, 1242, 1942, 540, 606, 3937, 1272, 540, 476, 1428, 1296, 609, 513, 1433, 1871, 540, 623, 1789, 267, 1822, 693, 28428, 623, 273, 300, 609, 606, 5993, 5826, 540, 519, 1439, 540, 519, 1974, 269, 30770, 519, 28595, 623, 1220, 267, 1822, 269, 876, 952, 2724, 568, 4502, 476, 736, 260, 829, 3045, 636, 269, 5279, 543, 922, 1433, 1871, 1310, 476, 1015, 1296, 269, 476, 2918, 269, 1323, 10697, 568, 12349, 585, 623, 6344, 267, 1822, 269, 876, 269, 4706, 476, 3066, 269, 2311, 476, 277, 9077, 1265, 519, 3854, 1242, 1942, 540, 513, 8115, 4171, 6059, 2804, 1272, 568, 476, 1015, 1296, 267, 1310, 799, 1942, 568, 623, 1220, 300, 543, 1272, 568, 476, 736, 1296, 267, 952, 519, 8115, 621, 786, 581, 4421, 585, 623, 1321, 267, 1822, 269, 876, 269, 4855, 519, 1590, 581, 13148, 32206, 693, 513, 1942, 540, 623, 1911, 300, 693, 519, 28595, 585, 519, 1101, 1032, 269, 1439, 540, 1142, 476, 736, 1296, 269, 476, 2767, 269, 1323, 10697, 568, 12349, 585, 623, 280, 267, 1822, 269, 876, 269, 4706, 476, 1789, 269, 1323, 6221, 568, 12349, 585, 623, 1911, 267, 1822, 269, 876, 269, 16316, 6059, 1272, 568, 476, 1015, 1296, 267, 1310, 799, 621, 786, 581, 3790, 616, 623, 1240, 267, 1822, 269, 876, 269, 4635, 476, 279, 9077, 1018, 568, 519, 4421, 585, 623, 272, 267, 1822, 269, 876, 269, 4855, 519, 1433, 1871, 1282, 3854, 1242, 1942, 540, 10419, 783, 3028, 286, 519, 3791, 1032, 269, 476, 4029, 269, 589, 2754, 3096, 513, 1826, 540, 14903, 799, 3790, 623, 273, 300, 267, 476, 4097, 269, 634, 6718, 540, 513, 5179, 585, 623, 7785, 271, 543, 513, 609, 1272, 540, 476, 274, 1296, 543, 513, 3803, 32006, 720, 1871, 540, 11718, 585, 623, 6110, 271, 786, 1450, 513, 2754, 547, 623, 17168, 267, 1822, 269, 1215, 1454, 1223, 519, 2754, 6488, 3132, 922, 1378, 1648, 269, 634, 12122, 666, 581, 547, 2628, 585, 1776, 1826, 540, 14903, 585, 519, 1482, 19632, 585, 623, 4335, 269, 634, 3028, 786, 7500, 585, 3483, 267, 4171, 1272, 568, 476, 275, 1296, 609, 513, 3803, 32006, 720, 476, 8182, 271, 3108, 829, 1032, 585, 476, 1015, 1296, 269, 634, 1871, 540, 623, 6110, 267, 1822, 267, 952, 2724, 568, 4502, 476, 275, 260, 286, 5826, 1942, 568, 623, 4968, 829, 1032, 543, 519, 1942, 547, 7500, 568, 623, 271, 269, 5952, 829, 5662, 585, 4492, 543, 824, 1644, 1942, 269, 4635, 2786, 11060, 28595, 267, 1018, 568, 519, 5993, 1942, 538, 519, 5106, 286, 1703, 568, 623, 6110, 538, 32006, 720, 1871, 585, 519, 1062, 693, 519, 1439, 540, 476, 1015, 1296, 269, 476, 3953, 269, 589, 1007, 2599, 729, 8704, 676, 513, 19135, 2030, 693, 513, 1942, 540, 623, 4968, 267, 1822, 543, 15810, 547, 723, 513, 3730, 1272, 540, 476, 1428, 1296, 269, 2311, 519, 1439, 540, 922, 3730, 1272, 267, 621, 568, 6059, 547, 723, 513, 32006, 720, 1871, 540, 623, 1789, 267, 1822, 269, 14419, 922, 3854, 1242, 1942, 952, 1719, 568, 476, 1240, 260, 31903, 12422, 269, 476, 3374, 269, 9717, 281, 3689, 8779, 815, 623, 2004, 267, 1822, 25554, 720, 10025, 815, 623, 273, 267, 1822, 16316, 5826, 815, 623, 277, 267, 1822, 9483, 1272, 815, 476, 276, 1296, 30770, 585, 519, 5993, 1942, 269, 4888, 26214, 3201, 2910, 4306, 476, 3451, 269, 589, 2146, 16858, 547, 6718, 606, 4540, 476, 3607, 269, 589, 8228, 3684, 568, 11751, 693, 623, 272, 269, 276, 2929, 543, 10626, 12595, 693, 623, 4335, 267, 1822, 676, 9513, 476, 276, 260, 7554, 568, 6059, 547, 723, 513, 32006, 720, 1871, 540, 623, 1911, 267, 1822, 602, 786, 9921, 538, 476, 1789, 1296, 269, 634, 2724, 547, 13649, 1310, 476, 4335, 267, 1822, 12215, 269, 634, 5993, 1942, 540, 10519, 532, 519, 6125, 786, 581, 6659, 676, 9878, 3160, 5993, 519, 2230, 585, 519, 1870, 568, 623, 3199, 267, 1822, 267, 1379, 1942, 5666, 883, 513, 29855, 2508, 602, 786, 476, 1716, 476, 275, 10065, 829, 5299, 568, 623, 272, 269, 2004, 267, 543, 5826, 543, 1957, 1548, 786, 581, 519, 2698, 5993, 1942, 540, 519, 7554, 1942, 829, 5299, 568, 623, 275, 269, 876, 269, 634, 4397, 5993, 2394, 789, 9921, 286, 2504, 540, 519, 3684, 568, 476, 1911, 267, 1822, 12215, 269, 16316, 1719, 568, 476, 1428, 10065, 30770, 585, 519, 2698, 5993, 1942, 269, 476, 4391, 269, 14419, 519, 5993, 1942, 540, 595, 2975, 290, 602, 3340, 476, 2412, 269, 1323, 20090, 17188, 623, 272, 267, 1911, 267, 1822, 585, 513, 9553, 799, 623, 21878, 300, 547, 4020, 267, 623, 1839, 300, 829, 1032, 547, 2226, 786, 6556, 513, 2121, 4747, 540, 623, 1220, 267, 1822, 693, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6393, 1892, 3767, 2721, 513, 1899, 32726, 547, 2099, 519, 6152, 538, 9588, 267, 799, 2306, 606, 5086, 16564, 609, 1535, 14289, 609, 930, 10375, 4336, 563, 1892, 29100, 513, 13902, 7131, 693, 1448, 595, 799, 2743, 1535, 7852, 693, 1448, 667, 267, 1631, 6443, 1448, 744, 547, 1448, 667, 267, 519, 1899, 744, 291, 568, 1572, 8880, 5057, 540, 25739, 6152, 543, 4564, 676, 674, 343, 538, 9588, 538, 1482, 4336, 563, 1892, 6684, 2721, 13902, 9460, 693, 1448, 595, 267, 799, 786, 2743, 586, 14289, 693, 1448, 661, 1631, 6443, 744, 547, 661, 269, 634, 1899, 31643, 568, 1572, 7299, 5057, 540, 25739, 6152, 543, 4564, 676, 674, 344, 538, 9588, 540, 1482, 4336, 692, 22860, 21154, 610, 29890, 692, 1103, 31221, 4596, 291, 267, 24234, 2910, 291, 815, 16564, 2073, 24234, 744, 17584, 815, 476, 3445, 4113, 692, 1892, 32726, 815, 674, 454, 1892, 744, 291, 815, 674, 343, 454, 1892, 31643, 815, 7131, 815, 674, 344, 454, 1892, 1284, 917, 602, 15328, 710, 16564, 815, 744, 291, 270, 8016, 269, 15328, 710, 16564, 815, 674, 343, 22077, 1656, 674, 343, 815, 674, 15328, 710, 16564, 454, 1892, 6684, 649, 723, 16429, 16564, 815, 9823, 1315, 8016, 267, 16429, 16564, 815, 674, 344, 1315, 293, 1656, 674, 344, 815, 674, 590, 710, 16564, 692, 13420, 10329, 12307, 585, 513, 14461, 1560, 1384, 288, 14461, 19500, 2390, 676, 1022, 4294, 4452, 786, 4043, 547, 14377, 15854, 17967, 827, 513, 1880, 7852, 269, 634, 12402, 547, 14377, 568, 1813, 547, 519, 2962, 540, 519, 25739, 3196, 593, 519, 1560, 543, 519, 12402, 547, 17967, 568, 1813, 547, 519, 2962, 540, 519, 25739, 7008, 780, 13420, 10329, 786, 2049, 593, 519, 1560, 952, 519, 25739, 3196, 267, 607, 1134, 607, 519, 25739, 7008, 267, 616, 1312, 4642, 780, 1892, 1280, 11466, 267, 519, 2040, 540, 782, 4229, 9117, 593, 519, 1560, 568, 4642, 780, 4910, 738, 656, 10414, 815, 3980, 495, 293, 815, 476, 271, 692, 1892, 634, 2040, 540, 519, 4090, 827, 1022, 7852, 1590, 581, 4642, 780, 4910, 738, 656, 28850, 815, 3980, 495, 300, 815, 476, 271, 692, 13420, 10329, 12307, 538, 476, 273, 291, 1384, 763, 25739, 3196, 6152, 585, 513, 1544, 541, 3196, 1062, 6411, 593, 519, 7077, 540, 2962, 540, 519, 3312, 3196, 1062, 780, 4501, 495, 293, 815, 3980, 495, 293, 343, 1341, 3980, 495, 293, 344, 692, 763, 25739, 4090, 6152, 6411, 13902, 547, 602, 7077, 780, 4501, 495, 19616, 815, 3980, 495, 347, 337, 6398, 674, 347, 815, 3980, 495, 293, 323, 692, 3602, 546, 568, 519, 13902, 3845, 1063, 1022, 4090, 8998, 744, 543, 519, 1899, 540, 2962, 540, 674, 780, 763, 11466, 4834, 585, 519, 1079, 8820, 2013, 666, 581, 2854, 538, 519, 22185, 1106, 607, 5205, 1384, 4501, 495, 293, 343, 815, 476, 271, 692, 4501, 495, 293, 344, 815, 476, 271, 692, 4501, 495, 19616, 815, 476, 271, 692, 1012, 16572, 540, 18289, 692, 2162, 4521, 476, 272, 1384, 9336, 1560, 5170, 538, 922, 1533, 540, 1964, 267, 610, 540, 7833, 5163, 538, 513, 1318, 1899, 267, 8259, 621, 568, 25997, 547, 1689, 602, 1533, 676, 4229, 24330, 2390, 621, 269, 5741, 3796, 3136, 538, 741, 20517, 267, 865, 2484, 607, 789, 616, 711, 1427, 12023, 676, 519, 4187, 540, 2011, 267, 610, 791, 8215, 1524, 2072, 676, 519, 3196, 540, 8904, 269, 589, 1283, 267, 4171, 2694, 676, 741, 22122, 616, 16111, 6537, 11735, 689, 6439, 559, 710, 541, 20517, 267, 1281, 711, 24044, 922, 10047, 267, 6382, 982, 607, 621, 568, 1427, 12023, 676, 2011, 269, 634, 3152, 4703, 540, 10785, 543, 635, 1115, 267, 5870, 609, 1447, 4187, 538, 1954, 518, 5624, 267, 8190, 741, 20517, 1312, 11636, 543, 9764, 585, 513, 1454, 3476, 942, 780, 2162, 4521, 476, 273, 1384, 763, 1689, 540, 5163, 568, 14354, 547, 519, 30254, 3196, 24330, 267, 543, 568, 1500, 538, 519, 4287, 540, 519, 1318, 1899, 538, 799, 602, 3196, 568, 24330, 563, 2252, 1022, 3196, 12958, 513, 5163, 267, 513, 5595, 3196, 786, 5352, 5595, 519, 5163, 267, 513, 17784, 3196, 17784, 519, 5163, 267, 2436, 602, 3196, 568, 24330, 15587, 543, 693, 2899, 610, 7930, 543, 1967, 1947, 269, 1656, 713, 5163, 630, 7424, 2141, 9859, 519, 1482, 1259, 609, 519, 10451, 3196, 1070, 952, 519, 1560, 6410, 1354, 267, 568, 3773, 610, 10208, 539, 689, 519, 5449, 5163, 267, 1109, 3147, 1800, 607, 789, 2047, 17736, 790, 609, 610, 616, 2047, 14669, 547, 1142, 824, 282, 610, 21933, 1664, 569, 8678, 267, 950, 789, 616, 21933, 1664, 267, 865, 607, 547, 3132, 513, 1007, 5163, 31903, 689, 519, 8990, 540, 1312, 780, 2162, 4521, 476, 274, 1384, 2414, 1169, 2962, 972, 568, 2141, 10353, 606, 3160, 5114, 281, 610, 267, 519, 8994, 2962, 540, 1079, 4703, 2390, 1142, 824, 616, 2141, 3160, 267, 543, 9859, 547, 14669, 2694, 563, 2662, 7241, 14405, 610, 2046, 525, 1776, 568, 607, 1454, 6537, 610, 20399, 676, 602, 824, 269, 1403, 596, 2046, 593, 513, 6149, 609, 707, 9416, 267, 519, 9416, 568, 849, 20399, 676, 519, 6149, 269, 1109, 763, 12059, 4521, 267, 4122, 1634, 607, 519, 968, 9146, 3146, 9146, 892, 1876, 267, 568, 519, 1034, 9670, 540, 519, 1614, 4031, 269, 13053, 779, 1390, 6602, 729, 602, 950, 1079, 3615, 2170, 267, 789, 1142, 11851, 519, 1482, 9588, 540, 3196, 593, 1142, 824, 269, 1284, 4927, 3277, 547, 3615, 602, 454, 5793, 716, 607, 606, 5872, 6292, 780, 1012, 674, 9689, 10414, 692, 293, 2774, 1308, 4229, 849, 2291, 950, 972, 568, 513, 6094, 4670, 540, 5277, 1063, 1079, 7252, 610, 1369, 513, 5277, 3294, 269, 901, 568, 1634, 607, 519, 1471, 32654, 3196, 269, 1284, 786, 711, 581, 6158, 827, 971, 4229, 543, 786, 1445, 938, 3007, 593, 595, 9567, 4861, 11508, 1775, 4318, 1421, 535, 2774, 1308, 4229, 1063, 1079, 3819, 7252, 1152, 269, 674, 2774, 1308, 3196, 2141, 1727, 4680, 519, 5163, 610, 12402, 540, 606, 1843, 547, 1847, 1996, 1776, 1843, 610, 1996, 513, 2627, 269, 1284, 10646, 1063, 1079, 5686, 540, 535, 2774, 1308, 4229, 910, 11979, 543, 15452, 910, 1317, 621, 568, 4767, 602, 15452, 535, 2774, 1308, 3196, 568, 5594, 1447, 982, 5021, 11979, 535, 2774, 1308, 3196, 780, 763, 3625, 1281, 711, 1847, 2394, 519, 4294, 3196, 1109, 516, 2851, 513, 5021, 1871, 674, 10946, 269, 4935, 689, 674, 815, 476, 271, 909, 547, 1109, 293, 815, 1109, 293, 10946, 267, 519, 535, 2774, 1308, 3196, 4188, 338, 3294, 865, 602, 621, 568, 1175, 6190, 547, 3247, 519, 5163, 269, 898, 729, 4767, 676, 595, 9567, 558, 2125, 602, 1109, 293, 3193, 28812, 14354, 547, 519, 3339, 5114, 540, 519, 2627, 593, 519, 1843, 269, 1411, 666, 7747, 782, 713, 1247, 3843, 547, 7903, 513, 3349, 2066, 519, 4055, 282, 18219, 519, 3349, 267, 3677, 519, 7903, 2838, 547, 1847, 621, 269, 4935, 649, 666, 2328, 692, 3602, 18725, 338, 28812, 1634, 607, 519, 11664, 540, 11979, 11508, 269, 898, 1058, 581, 11168, 1586, 602, 568, 519, 5021, 2009, 1871, 540, 535, 2774, 1308, 3196, 267, 10858, 950, 519, 1843, 568, 827, 547, 3247, 267, 6382, 535, 2774, 1308, 3196, 1223, 581, 1447, 982, 267, 1175, 6190, 547, 2061, 5163, 269, 1284, 849, 4063, 602, 535, 2774, 1308, 3196, 568, 4830, 540, 519, 1858, 540, 3346, 543, 5673, 1152, 593, 1109, 780, 2026, 519, 4294, 3196, 1109, 2998, 525, 3564, 1109, 267, 519, 1560, 6238, 3001, 1631, 1995, 5594, 1447, 3196, 7623, 547, 269, 901, 3196, 568, 3100, 547, 581, 950, 568, 1634, 607, 519, 11664, 540, 15452, 11508, 269, 2311, 1970, 29702, 621, 568, 513, 3586, 855, 6175, 5594, 693, 1164, 29702, 269, 589, 28176, 4729, 540, 535, 2774, 1308, 3196, 1109, 553, 513, 1599, 540, 519, 4294, 3196, 568, 607, 3254, 538, 4137, 476, 273, 780, 11749, 1132, 540, 535, 2774, 1308, 14170, 585, 1114, 2326, 4268, 689, 3592, 4642, 630, 823, 593, 4672, 264, 547, 607, 1804, 607, 476, 271, 269, 280, 630, 13041, 828, 12483, 593, 2781, 7757, 4155, 264, 2141, 6967, 1447, 982, 476, 272, 780, 288, 2656, 1259, 540, 21501, 519, 1871, 540, 11979, 11508, 568, 547, 1413, 693, 519, 5163, 606, 1843, 593, 606, 20916, 7077, 269, 4706, 1863, 23073, 6516, 568, 2016, 538, 4137, 476, 274, 780, 7712, 519, 3625, 814, 513, 12402, 547, 13472, 1524, 267, 519, 535, 2774, 1308, 3196, 2798, 909, 519, 20916, 7077, 269, 1306, 1279, 607, 519, 3625, 568, 538, 11466, 692, 2026, 16564, 568, 2799, 267, 8406, 7562, 15184, 4679, 543, 950, 621, 4422, 2250, 519, 5021, 2009, 1871, 540, 11508, 535, 10946, 519, 3625, 6238, 23510, 1524, 269, 4935, 693, 519, 5086, 693, 799, 621, 15942, 1524, 649, 723, 10484, 7052, 22177, 30791, 28850, 636, 543, 922, 11094, 692, 763, 5276, 11610, 540, 513, 9325, 540, 2527, 544, 3001, 609, 6991, 2485, 363, 341, 568, 3989, 607, 692, 1892, 12430, 11610, 267, 1373, 519, 1587, 540, 513, 22185, 543, 513, 6152, 267, 568, 513, 6152, 563, 1892, 898, 814, 7516, 631, 11482, 11053, 1700, 272, 543, 4559, 4846, 6230, 4732, 268, 272, 1109, 563, 1892, 634, 4287, 540, 519, 11610, 6152, 568, 519, 1482, 607, 519, 6991, 6152, 780, 2171, 666, 2769, 13053, 779, 2034, 1876, 538, 2474, 540, 5276, 11610, 538, 713, 1259, 692, 1892, 4935, 519, 25739, 3196, 593, 606, 1843, 630, 17882, 264, 11224, 519, 942, 2557, 540, 1689, 540, 5276, 11610, 540, 519, 1843, 630, 17882, 1916, 1892, 634, 4214, 540, 5276, 11610, 6087, 721, 547, 2322, 519, 2034, 1876, 883, 513, 811, 2489, 3532, 1106, 563, 1892, 1403, 267, 538, 1840, 267, 519, 1062, 568, 606, 9678, 835, 1287, 649, 666, 25666, 513, 1876, 540, 5726, 540, 5276, 11610, 780, 19808, 592, 572, 543, 28850, 636, 692, 1892, 6764, 592, 572, 568, 3989, 607, 3274, 1689, 538, 11610, 269, 769, 513, 16580, 1063, 1079, 5536, 630, 663, 2523, 513, 3346, 16580, 264, 519, 3196, 454, 1993, 5872, 1522, 4268, 609, 942, 563, 1892, 634, 3196, 568, 5266, 2110, 24331, 267, 1373, 4642, 1354, 9219, 942, 27764, 543, 4642, 1310, 9219, 942, 23686, 543, 2348, 513, 5266, 1804, 1871, 693, 5021, 563, 1892, 634, 1714, 17863, 942, 585, 519, 5872, 568, 547, 513, 1434, 19406, 31221, 339, 815, 23686, 1107, 27764, 780, 14808, 1657, 2982, 1109, 288, 3196, 602, 9775, 936, 513, 5266, 2110, 1714, 17863, 942, 269, 634, 1858, 896, 519, 3196, 7455, 568, 3160, 547, 519, 9588, 540, 519, 20949, 692, 1892, 634, 2040, 540, 4229, 568, 513, 1599, 540, 942, 563, 1892, 1677, 1265, 519, 1689, 538, 11610, 649, 1590, 11753, 936, 519, 1714, 17863, 942, 585, 519, 5872, 1384, 1892, 634, 1689, 538, 11610, 568, 3989, 607, 519, 20949, 543, 2016, 519, 3090, 2485, 363, 297, 692, 1892, 6764, 592, 572, 814, 519, 1482, 7516, 543, 4559, 607, 11610, 543, 568, 849, 513, 6152, 780, 1892, 634, 20949, 814, 513, 9588, 3160, 547, 519, 1858, 896, 519, 3196, 7455, 1063, 519, 1079, 9219, 2053, 267, 602, 568, 267, 936, 519, 1714, 17863, 942, 540, 519, 16580, 780, 1892, 634, 4287, 540, 519, 20949, 6152, 568, 519, 1482, 607, 519, 4287, 540, 519, 1689, 538, 11610, 6152, 780, 3528, 13053, 781, 5822, 4521, 267, 519, 2121, 3196, 568, 3160, 547, 519, 2527, 540, 1843, 2053, 922, 10231, 10484, 1607, 666, 581, 2655, 21114, 883, 519, 3830, 585, 20949, 10484, 763, 1689, 538, 6991, 568, 519, 3017, 1063, 519, 29702, 693, 519, 4358, 543, 10678, 2053, 10484, 763, 4542, 585, 20949, 3587, 10484, 1892, 901, 3830, 568, 1572, 519, 1109, 11069, 592, 572, 2173, 30291, 636, 11532, 269, 769, 1913, 267, 621, 2829, 602, 519, 1689, 538, 11610, 540, 606, 1843, 538, 513, 1978, 942, 8884, 568, 3160, 547, 519, 20949, 540, 519, 2121, 3196, 602, 6411, 593, 519, 1843, 538, 519, 942, 8884, 563, 1892, 4635, 713, 4542, 267, 621, 568, 2009, 547, 9305, 2242, 538, 11610, 547, 519, 4229, 602, 941, 4294, 547, 2014, 519, 1689, 563, 1892, 898, 849, 2982, 602, 519, 942, 936, 799, 513, 3196, 568, 4294, 814, 606, 1198, 593, 519, 1689, 538, 11610, 602, 2164, 563, 1892, 898, 568, 849, 1271, 547, 4063, 602, 519, 4559, 585, 11610, 543, 20949, 616, 3927, 519, 1482, 269, 634, 1770, 540, 11610, 568, 4846, 544, 4882, 267, 543, 519, 1770, 540, 20949, 568, 519, 13053, 29364, 267, 715, 4732, 780, 2162, 11094, 540, 28850, 636, 692, 1892, 1879, 1079, 3615 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8459, 3441, 269, 26590, 8459, 5821, 666, 1831, 5312, 543, 707, 14401, 786, 3247, 2324, 3592, 7357, 610, 4625, 269, 901, 568, 1572, 1439, 22533, 17669, 2068, 269, 1403, 713, 4523, 267, 596, 786, 991, 547, 979, 593, 8628, 31533, 610, 1205, 513, 8459, 13003, 563, 268, 12280, 269, 26590, 8459, 5821, 666, 1291, 547, 2530, 540, 8459, 1599, 602, 568, 865, 3983, 267, 621, 666, 2014, 2669, 563, 291, 2632, 7323, 281, 2052, 590, 3881, 10045, 4826, 20531, 26640, 853, 2158, 454, 1432, 1772, 18127, 26640, 8376, 454, 32247, 8459, 2068, 267, 3006, 1572, 595, 28474, 267, 568, 606, 22597, 2165, 585, 1896, 2175, 602, 1860, 519, 14401, 267, 855, 621, 3622, 1797, 8628, 543, 2356, 11636, 3441, 547, 519, 14401, 3361, 676, 513, 3099, 540, 2175, 563, 9596, 2659, 13235, 338, 540, 26640, 8376, 454, 297, 25296, 22846, 26669, 6331, 1235, 3220, 338, 269, 5681, 525, 6390, 774, 822, 541, 1690, 1695, 543, 667, 7469, 928, 12928, 823, 569, 2709, 513, 1863, 3872, 1362, 1034, 3275, 267, 689, 476, 276, 476, 277, 533, 6230, 269, 693, 8592, 22846, 7345, 1613, 6481, 4741, 269, 1280, 811, 1344, 267, 1289, 4586, 1692, 9869, 823, 2052, 6435, 2060, 7736, 454, 24916, 3246, 948, 538, 9301, 519, 4191, 540, 1439, 6361, 3734, 8459, 5821, 267, 4662, 823, 666, 948, 519, 1920, 27877, 538, 5883, 741, 1378, 2115, 269, 634, 2319, 693, 9061, 30030, 9869, 823, 1299, 623, 718, 14306, 5516, 2882, 11923, 267, 13538, 267, 513, 1938, 267, 1514, 4600, 267, 543, 7189, 945, 1683, 1082, 1114, 2533, 267, 689, 2123, 1416, 899, 25462, 543, 28876, 267, 547, 948, 609, 5883, 519, 2550, 6646, 563, 2252, 596, 1131, 899, 547, 1451, 811, 827, 875, 9061, 30030, 666, 948, 267, 649, 4363, 596, 3346, 721, 1631, 676, 8939, 835, 540, 519, 5192, 6435, 3681, 689, 519, 4544, 948, 4099, 3046, 693, 519, 1283, 540, 713, 2985, 563, 10673, 1406, 7323, 281, 1772, 11197, 595, 3187, 966, 710, 3258, 14068, 1280, 26640, 8376, 454, 12663, 26640, 23299, 18748, 3733, 12619, 454, 10144, 945, 723, 8459, 5821, 949, 723, 8373, 12008, 269, 12619, 2530, 666, 1860, 707, 2298, 540, 1272, 267, 1648, 1377, 267, 543, 7099, 269, 10163, 1652, 1850, 6794, 267, 3207, 19103, 267, 1928, 267, 610, 21422, 949, 1118, 621, 2182, 585, 596, 547, 3207, 563, 2791, 666, 1491, 513, 1297, 540, 3268, 547, 2087, 707, 3207, 6208, 269, 1280, 1383, 267, 2168, 2534, 1282, 519, 1554, 543, 513, 3636, 8602, 1354, 5127, 949, 948, 596, 3207, 1732, 693, 3781, 269, 3680, 14933, 1310, 12899, 5503, 269, 3680, 23931, 10425, 1354, 5127, 269, 3680, 7296, 563, 307, 1779, 609, 707, 1072, 1416, 8502, 952, 596, 1419, 1745, 3207, 344, 1282, 519, 1554, 610, 723, 8373, 12008, 693, 3781, 269, 2657, 1416, 7426, 666, 1521, 3207, 4713, 971, 607, 3207, 19103, 610, 1964, 1652, 1850, 6794, 563, 1692, 1677, 5700, 1403, 1411, 5620, 26640, 10819, 454, 1607, 2376, 729, 1199, 1227, 12649, 676, 661, 20891, 26689, 1067, 267, 11298, 267, 12463, 295, 269, 3220, 269, 661, 20891, 26689, 1067, 568, 513, 12729, 5516, 4284, 6509, 693, 519, 2160, 540, 12548, 267, 21751, 538, 4835, 4915, 267, 3987, 267, 543, 2597, 2359, 269, 1261, 4607, 1010, 16362, 622, 538, 27777, 24403, 6925, 689, 519, 29110, 549, 2160, 21600, 5441, 540, 27777, 24403, 6925, 538, 476, 1001, 273, 269, 3220, 269, 26689, 1067, 568, 513, 24547, 558, 622, 540, 519, 1977, 8274, 540, 25667, 6925, 543, 568, 4604, 14468, 269, 2467, 616, 476, 1556, 8100, 11855, 538, 713, 2376, 267, 799, 666, 581, 1336, 693, 519, 5377, 540, 519, 2985, 269, 901, 2376, 814, 1044, 9763, 476, 4649, 267, 4792, 273, 2053, 563, 2791, 1522, 1616, 547, 1589, 540, 707, 14401, 607, 519, 12086, 540, 707, 1560, 269, 769, 1840, 547, 824, 1271, 3252, 267, 707, 14401, 543, 26669, 6425, 4894, 3653, 689, 707, 1973, 543, 2226, 6886, 899, 32690, 269, 1955, 4472, 1734, 538, 519, 19003, 1184, 666, 2014, 3940, 267, 3653, 267, 610, 3063, 6886, 547, 1780, 883, 707, 10729, 269, 1879, 713, 4523, 267, 1896, 8459, 2042, 666, 8451, 899, 8459, 10007, 267, 8459, 3968, 267, 610, 5312, 8459, 2068, 269, 311, 10932, 2707, 6884, 267, 538, 519, 2038, 5933, 540, 8459, 2068, 267, 513, 3461, 666, 581, 4625, 28105, 563, 10673, 1406, 7323, 281, 11197, 595, 3187, 966, 710, 3258, 1280, 26640, 454, 1692, 4024, 3733, 16076, 514, 4115, 14419, 634, 23422, 26640, 23299, 769, 3733, 9697, 454, 7312, 16943, 786, 946, 519, 16843, 3041, 588, 1645, 1062, 269, 16843, 3041, 588, 1645, 568, 1759, 593, 16796, 1525, 24100, 2157, 267, 609, 1016, 3613, 1645, 1759, 593, 519, 4527, 540, 3940, 538, 519, 10729, 543, 7893, 707, 7314, 1973, 2604, 269, 1635, 1210, 713, 588, 1645, 267, 707, 16943, 814, 513, 1732, 2856, 593, 875, 547, 8399, 609, 2126, 267, 6895, 3356, 267, 543, 547, 7447, 707, 10130, 23567, 563, 29670, 2060, 8609, 476, 274, 26640, 8376, 454, 2026, 728, 689, 2921, 707, 11311, 6527, 543, 4189, 513, 2635, 2732, 267, 12561, 824, 6197, 2242, 666, 948, 596, 4383, 595, 28474, 3942, 476, 274, 269, 13185, 547, 707, 4387, 827, 519, 1739, 912, 268, 11644, 269, 13667, 585, 513, 5934, 540, 476, 1789, 3764, 540, 9793, 2534, 829, 1554, 593, 1034, 2395, 540, 519, 3018, 269, 589, 4387, 666, 948, 596, 2253, 606, 3635, 1982, 9108, 563, 268, 10552, 2604, 2359, 269, 4400, 1973, 2604, 666, 581, 513, 24888, 585, 595, 28474, 267, 543, 621, 666, 1118, 707, 2783, 8338, 269, 13667, 585, 513, 1973, 2604, 540, 476, 9610, 270, 3445, 543, 2630, 563, 268, 13262, 2359, 269, 9828, 666, 1331, 3635, 267, 3478, 1732, 3207, 267, 543, 9066, 563, 268, 25003, 29696, 269, 13185, 547, 513, 4387, 827, 519, 1318, 2409, 540, 29655, 7296, 585, 596, 563, 5649, 4746, 281, 2052, 589, 26640, 25124, 20531, 4144, 1551, 9996, 454, 293, 520, 8982, 9861, 570, 1600, 2353, 2986, 634, 5384, 454, 3963, 713, 4523, 912, 30144, 14401, 1118, 513, 9449, 1572, 22980, 6605, 334, 2884, 514, 2073, 610, 661, 17269, 267, 602, 6645, 707, 1560, 547, 1118, 5135, 21307, 11538, 2699, 1973, 2281, 269, 1306, 519, 14401, 3111, 267, 789, 1118, 1447, 661, 17269, 269, 2060, 7864, 2699, 1973, 2281, 547, 4163, 5135, 267, 707, 6091, 543, 2634, 12483, 1360, 3533, 269, 901, 568, 17350, 267, 543, 621, 666, 581, 5701, 563, 1432, 2550, 1767, 912, 296, 729, 7683, 25356, 543, 4769, 1406, 723, 1022, 533, 788, 610, 4376, 563, 296, 1131, 3207, 513, 2603, 269, 594, 8910, 2097, 1753, 689, 960, 543, 1205, 1318, 538, 602, 5127, 563, 1692, 2052, 594, 14970, 4270, 2060, 26640, 23299, 454, 2710, 532, 1134, 609, 8459, 5821, 568, 513, 4161, 269, 1411, 786, 1745, 1732, 952, 596, 454, 268, 6529, 547, 707, 2126, 8430, 454, 268, 2689, 707, 11955, 609, 707, 1072, 1416, 8502, 693, 1169, 3643, 543, 1491, 707, 11955, 607, 11311, 454, 268, 960, 609, 513, 2732, 23790, 547, 1020, 606, 4189, 1544, 602, 2882, 3536, 596, 2972, 4189, 1247, 849, 4543, 707, 1072, 454, 268, 3251, 3742, 339, 820, 513, 3802, 610, 798, 930, 824, 2168, 2534, 602, 596, 2972, 454, 268, 3251, 538, 5905, 609, 707, 2828, 543, 1920, 454, 21675, 609, 31533, 610, 13003, 786, 948, 596, 1745, 1732, 543, 2661, 3476, 269, 2659, 1072, 1416, 2319, 786, 960, 609, 596, 547, 1711, 513, 2126, 1544, 547, 2232, 1022, 1072, 2042, 596, 723, 269, 2659, 2126, 786, 1331, 3268, 596, 666, 1491, 547, 2226, 707, 2298, 540, 1272, 543, 2534, 1377, 563, 7312, 4189, 1544, 4249, 606, 1271, 1909, 269, 1879, 596, 723, 8459, 5821, 267, 1018, 596, 3548, 543, 4235, 949, 948, 596, 2226, 513, 2635, 3666, 540, 20919, 267, 6886, 267, 543, 12862, 538, 707, 1560, 563, 27775, 2105, 7335, 281, 590, 3881, 10045, 26640, 853, 2158, 454, 2691, 2659, 4132, 13201, 589, 18127, 26640, 8376, 454, 29261, 540, 3214, 945, 616, 8995, 609, 513, 5312, 8459, 2068, 723, 1082, 2055, 827, 1018, 1522, 4755, 1985, 267, 875, 741, 1126, 1522, 1745, 267, 543, 1018, 5574, 616, 2693, 547, 581, 3238, 563, 5649, 593, 547, 1451, 827, 5574, 585, 8459, 2068, 543, 1018, 3237, 666, 798, 547, 948, 563, 291, 2632, 7323, 281, 2052, 26640, 25124, 20531, 4144, 1551, 9996, 454, 1432, 1684, 634, 17718, 7958, 1684, 454, 763, 14401, 723, 1896, 6009, 269, 2290, 540, 519, 1034, 1271, 568, 4543, 707, 1560, 9004, 13802, 269, 634, 14401, 6882, 707, 1973, 543, 6494, 3653, 856, 540, 707, 1560, 538, 10729, 563, 763, 14401, 616, 21167, 11057, 8219, 827, 519, 2450, 540, 707, 31329, 269, 1358, 1694, 896, 707, 10775, 322, 720, 267, 4724, 707, 1394, 269, 4107, 1004, 723, 1079, 2324, 14401, 267, 855, 1004, 666, 2661, 1134, 607, 1279, 607, 693, 2547, 835, 568, 2324, 7157, 563, 2691, 519, 14401, 21645, 960, 3927, 267, 3653, 2472, 1628, 909, 538, 707, 1560, 269, 1403, 713, 4523, 267, 596, 1522, 1745, 7210, 269, 769, 519, 1034, 3978, 3871, 267, 8459, 5821, 666, 581, 1272, 18446, 269, 1717, 267, 1082, 1004, 666, 4383, 8459, 5821, 609, 519, 1318, 2126, 563, 9827, 6744, 281, 1772, 4414, 29879, 6153, 1280, 26640, 853, 2158, 0, 294, 776, 7812, 12113, 22641, 1031, 13657, 7829, 891, 2879, 6260, 16015, 4429, 1862, 1312, 540, 799, 2919, 606, 10182, 1247, 8523, 532, 873, 454, 1220, 277, 910, 1452, 2879, 6260, 16015, 941, 513, 2370, 14834, 19108, 267, 693, 1142, 824, 267, 741, 3061, 528, 543, 519, 23031, 563, 294, 776, 7812, 12113, 22641, 540, 8262, 645, 754, 9575, 519, 16015, 593, 513, 7708, 339, 1899, 538, 519, 9741, 20855, 1177, 3873, 5211, 563, 10521, 540, 519, 16015, 26693, 827, 476, 1789, 6550, 1142, 563, 307, 31103, 814, 1044, 3349, 24214, 538, 6917, 2836, 327, 1735, 936, 519, 1296, 267, 3226, 585, 17339, 563, 20442, 1544, 547, 3434, 891, 1490, 2373, 2437, 1767, 12113, 22641, 267, 945, 729, 1373, 26490, 1947, 834, 3430, 17977, 257, 1247, 646, 729, 6158, 269, 1358, 666, 2285, 513, 1360, 11213, 11116, 563, 763, 16015, 666, 9260, 909, 547, 476, 3393, 6550, 543, 666, 2661, 476, 1789, 268, 2412, 1296, 269, 4256, 4778, 616, 2356, 20585, 6960, 547, 3109, 269, 1358, 723, 1357, 5523, 3952, 609, 1279, 32356, 543, 513, 1360, 1279, 2766, 563, 27409, 6260, 16015, 666, 5305, 513, 28067, 17627, 689, 513, 14189, 593, 519, 9207, 728, 540, 741, 1560, 267, 10423, 19108, 950, 519, 1079, 4102, 16015, 3459, 547, 4339, 267, 5373, 1973, 593, 1142, 824, 563, 293, 518, 22641, 5116, 873, 538, 513, 22902, 609, 9475, 267, 1287, 538, 513, 2199, 524, 9127, 269, 0, 308, 9008, 807, 568, 513, 2262, 602, 13315, 519, 30172, 540, 20729, 539, 26201, 543, 6634, 540, 22808, 602, 941, 911, 332, 9482, 2390, 269, 1879, 1098, 8282, 538, 519, 1893, 540, 606, 16809, 267, 621, 1166, 583, 1562, 936, 519, 11318, 4610, 543, 608, 3410, 1588, 13122, 269, 898, 568, 24190, 609, 519, 1533, 540, 24819, 5126, 267, 799, 568, 796, 520, 1555, 762, 607, 8810, 676, 519, 2833, 540, 519, 476, 736, 628, 2540, 269, 901, 1032, 779, 9022, 338, 266, 16631, 3296, 7710, 519, 8513, 540, 513, 5594, 1114, 2588, 18701, 1107, 606, 2048, 529, 1633, 1141, 782, 3587, 2312, 685, 607, 3989, 676, 12598, 22119, 11867, 590, 9195, 26092, 6390, 269, 2201, 621, 267, 936, 519, 8235, 540, 12213, 1230, 341, 2109, 267, 538, 519, 9503, 540, 30052, 267, 972, 9428, 519, 10326, 540, 4197, 269, 901, 23835, 1670, 6532, 568, 519, 20032, 540, 519, 7869, 540, 18421, 269, 11048, 267, 585, 782, 922, 1347, 916, 267, 621, 3788, 796, 514, 4725, 1243, 607, 519, 10564, 6811, 269, 4208, 286, 13201, 621, 2907, 1044, 14460, 676, 782, 17701, 286, 2107, 267, 6148, 267, 1100, 835, 814, 6603, 621, 2943, 286, 634, 8874, 4843, 538, 713, 3296, 786, 2232, 971, 2055, 269, 634, 3099, 540, 4267, 789, 2709, 949, 711, 2141, 581, 1463, 267, 855, 789, 786, 711, 4734, 596, 4411, 269, 0, 292, 17470, 332, 10152, 630, 296, 1606, 684, 2173, 1263, 268, 7795, 337, 264, 6794, 568, 513, 1279, 3856, 28658, 540, 606, 796, 10517, 8529, 2295, 8919, 602, 2576, 729, 4535, 609, 630, 322, 784, 523, 1388, 1916, 763, 22787, 2295, 12889, 2404, 609, 29276, 332, 10152, 6794, 2014, 1973, 547, 32694, 25983, 958, 538, 707, 2295, 543, 9641, 269, 1879, 1973, 3085, 1405, 2095, 7363, 267, 519, 1973, 8043, 538, 707, 9641, 1831, 13888, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3607, 692, 3725, 281, 3627, 20024, 8096, 1015, 267, 1822, 547, 1930, 513, 1007, 9806, 2272, 602, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1240, 7325, 476, 1001, 276, 267, 476, 1626, 281, 1428, 454, 296, 993, 1007, 547, 519, 8468, 267, 4358, 593, 17918, 4974, 269, 594, 4718, 519, 3435, 267, 855, 649, 616, 711, 1210, 519, 9498, 593, 1449, 1554, 865, 594, 798, 711, 1174, 7064, 692, 20132, 19560, 476, 273, 1496, 271, 3910, 2016, 281, 476, 3607, 692, 25938, 1640, 15440, 454, 16274, 281, 476, 2764, 9947, 476, 1001, 276, 454, 15803, 281, 476, 4968, 692, 20132, 19560, 476, 12208, 1496, 271, 3910, 2016, 281, 476, 5325, 692, 3519, 1417, 1674, 281, 16010, 454, 294, 5183, 281, 476, 274, 269, 276, 454, 3725, 281, 3627, 20024, 8096, 1015, 267, 1822, 547, 1930, 513, 1007, 9806, 2272, 602, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1240, 7325, 476, 1001, 276, 267, 476, 736, 281, 1626, 454, 8649, 870, 538, 3627, 781, 589, 11305, 1310, 476, 277, 3275, 815, 630, 15478, 1015, 267, 1822, 2608, 476, 272, 8472, 1341, 1496, 7268, 259, 1015, 267, 1822, 2608, 476, 272, 8472, 2608, 476, 272, 260, 316, 815, 8096, 1015, 267, 1001, 269, 5775, 630, 291, 1916, 6303, 318, 692, 296, 1031, 547, 1589, 519, 2634, 729, 519, 1034, 1271, 1418, 269, 3973, 594, 2219, 267, 1413, 1018, 779, 10213, 803, 602, 780, 20132, 19560, 476, 12208, 1496, 271, 3910, 2016, 281, 476, 5325, 692, 12421, 454, 16274, 281, 476, 1240, 3967, 476, 1001, 277, 454, 15803, 281, 476, 2537, 692, 20132, 19560, 476, 273, 1496, 271, 3910, 2016, 281, 476, 278, 692, 3725, 281, 3627, 20024, 8096, 1015, 267, 1822, 547, 1930, 513, 1007, 9806, 2272, 602, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2767, 3967, 476, 1001, 277, 267, 476, 4962, 281, 1015, 454, 289, 684, 3241, 5206, 912, 7343, 25209, 1948, 272, 912, 275, 2600, 5993, 1719, 31903, 10116, 569, 25341, 476, 272, 260, 538, 476, 274, 3275, 780, 7212, 713, 568, 519, 1505, 789, 616, 3168, 585, 267, 519, 2243, 568, 14605, 2262, 539, 269, 1635, 12799, 6031, 602, 476, 275, 260, 729, 12236, 267, 713, 10522, 602, 476, 275, 260, 729, 519, 2500, 2557, 267, 543, 711, 22194, 563, 25898, 723, 1044, 1732, 547, 2161, 834, 1492, 2272, 12236, 513, 22194, 5993, 1719, 2557, 540, 476, 275, 260, 2668, 3143, 811, 10539, 780, 20132, 19560, 476, 273, 1496, 271, 3910, 2016, 281, 476, 278, 692, 15239, 6953, 3861, 14871, 454, 16274, 281, 476, 6021, 9484, 476, 1001, 274, 454, 15803, 281, 476, 15704, 10695, 692, 20132, 19560, 476, 25971, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 3627, 20024, 8096, 1015, 267, 1822, 547, 1930, 513, 1007, 9806, 2272, 602, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1724, 3057, 476, 1001, 278, 267, 476, 5400, 281, 6860, 454, 15916, 689, 519, 17918, 11833, 645, 2794, 289, 582, 2439, 12552, 547, 1776, 17918, 11833, 4759, 267, 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 318, 692, 20132, 19560, 476, 25971, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 3627, 20024, 8096, 1015, 267, 1822, 547, 1930, 513, 1007, 9806, 2272, 602, 5231, 1496, 258, 21529, 316, 476, 1724, 3057, 476, 1001, 278, 267, 476, 5400, 281, 6860, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 692, 258, 3627, 20024, 8096, 1015, 267, 1822, 547, 1930, 513, 1007, 9806, 2272, 602, 692, 1007, 1888, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 692, 623, 10062, 676, 943, 335, 17668, 9736, 943, 335, 17668, 6828, 1923, 2506, 334, 10202, 11247, 3177, 676, 2506, 334, 10202, 3080, 9877, 569, 4063, 602, 519, 17918, 10378, 1449, 568, 513, 10805, 22028, 540, 519, 23958, 5004, 1520, 3939, 7027, 10378, 267, 543, 713, 3135, 814, 9444, 1044, 12649, 6862, 31045, 676, 10648, 3722, 10378, 269, 0, 258, 1215, 1281, 17029, 548, 781, 11532, 8428, 689, 519, 1611, 1871, 11532, 2496, 928, 11253, 1923, 9906, 692, 305, 565, 548, 781, 11532, 2829, 602, 585, 513, 6024, 1483, 12595, 1599, 535, 3287, 264, 538, 513, 6806, 8884, 1109, 630, 320, 267, 536, 264, 543, 1114, 4192, 538, 519, 1930, 8884, 630, 320, 14720, 1070, 536, 285, 513, 1109, 5976, 535, 5416, 264, 815, 535, 6357, 264, 2073, 972, 6818, 513, 1448, 524, 1141, 535, 21948, 322, 264, 815, 476, 271, 780, 763, 1611, 1871, 11532, 2829, 602, 585, 513, 6024, 1483, 12595, 1599, 535, 3287, 264, 538, 519, 6806, 8884, 630, 320, 14720, 1070, 543, 1114, 328, 629, 6352, 519, 1930, 8884, 630, 320, 14720, 1070, 536, 3436, 513, 972, 6818, 513, 1448, 524, 538, 630, 320, 14720, 264, 1109, 585, 799, 692, 325, 21948, 322, 264, 815, 630, 325, 6357, 9984, 325, 5416, 4297, 14370, 321, 8584, 6393, 2252, 649, 4983, 1312, 5376, 916, 267, 621, 5654, 17029, 548, 781, 11532, 568, 513, 2027, 2013, 540, 1611, 1871, 11532, 780, 1103, 17029, 548, 781, 1109, 325, 5416, 264, 1109, 284, 535, 6357, 264, 1547, 769, 1611, 1871, 11532, 535, 5416, 264, 543, 535, 6357, 264, 616, 711, 3160, 780, 1103, 887, 331, 548, 781, 11532, 535, 21948, 322, 264, 815, 476, 271, 1547, 634, 7455, 814, 513, 17242, 13466, 547, 1535, 7852, 780, 1103, 519, 1611, 1871, 11532, 519, 9386, 535, 21948, 322, 264, 568, 711, 4642, 269, 535, 21948, 322, 264, 568, 519, 9386, 540, 519, 17242, 693, 519, 1448, 524, 543, 713, 17242, 568, 711, 6252, 547, 1535, 7852, 269, 1809, 713, 17242, 568, 13466, 547, 519, 1899, 11836, 630, 320, 2073, 535, 5416, 264, 3738, 543, 519, 1448, 630, 321, 2073, 535, 6357, 4297, 519, 1439, 2798, 540, 519, 7455, 780, 28775, 713, 2337, 780, 326, 1640, 326, 10005, 3192, 277, 1923, 9906, 692, 305, 565, 548, 781, 11532, 4564, 519, 1880, 2013, 540, 6399, 10025, 14497, 780, 763, 6399, 10025, 14497, 568, 4570, 585, 6024, 3252, 593, 6806, 11996, 1496, 320, 282, 321, 316, 543, 1109, 18528, 5166, 4192, 593, 519, 1930, 8884, 630, 320, 282, 321, 6393, 763, 6399, 10025, 14497, 2829, 602, 972, 568, 513, 1871, 524, 602, 12851, 547, 519, 8884, 1496, 320, 282, 321, 3910, 865, 602, 1384, 325, 21948, 322, 264, 815, 1496, 325, 6357, 264, 910, 535, 5416, 13580, 14370, 321, 8584, 264, 630, 272, 2020, 763, 17029, 548, 781, 11532, 2829, 602, 535, 5416, 264, 815, 535, 6357, 264, 630, 273, 6393, 2171, 3513, 12990, 630, 273, 264, 538, 630, 272, 17107, 325, 21948, 322, 264, 815, 1496, 325, 5416, 264, 1109, 268, 535, 5416, 13580, 14370, 321, 8584, 2020, 325, 21948, 322, 264, 815, 476, 271, 14370, 321, 8584, 2020, 325, 21948, 322, 264, 815, 476, 271, 692, 325, 21948, 322, 264, 3947, 519, 9386, 540, 519, 17242, 547, 519, 7455, 540, 535, 3287, 1070, 693, 519, 1448, 630, 322, 267, 325, 6262, 4297, 780, 7712, 519, 9386, 540, 519, 17242, 1899, 568, 476, 271, 267, 602, 1797, 602, 519, 17242, 1899, 568, 6252, 547, 1535, 7852, 543, 519, 1448, 630, 322, 267, 325, 6262, 4297, 568, 513, 2199, 3665, 1448, 269, 0, 258, 590, 3008, 10395, 13541, 658, 12793, 281, 10965, 2089, 1115, 692, 18907, 476, 1839, 267, 476, 1001, 276, 454, 3528, 692, 901, 2022, 729, 24963, 8329, 676, 3245, 513, 8298, 673, 8672, 540, 7348, 9732, 590, 3008, 910, 979, 972, 547, 6085, 543, 547, 1224, 519, 2407, 2022, 780, 2162, 476, 272, 269, 18983, 16615, 543, 10395, 1588, 692, 11907, 9041, 333, 1638, 318, 3248, 333, 815, 476, 276, 3248, 337, 815, 476, 273, 16963, 265, 1492, 27353, 540, 513, 1297, 3248, 2399, 284, 2399, 3799, 32007, 265, 1721, 2318, 9981, 267, 1249, 3799, 264, 815, 18325, 3799, 266, 272, 11850, 326, 2459, 284, 24472, 3799, 1341, 476, 272, 32007, 265, 290, 3799, 267, 337, 2567, 1297, 540, 10659, 540, 562, 3615, 5697, 678, 476, 3248, 265, 333, 256, 1315, 1496, 337, 256, 263, 333, 8573, 25631, 30092, 18474, 272, 815, 2036, 3799, 267, 337, 11850, 18474, 273, 815, 1249, 3799, 264, 1315, 630, 2399, 16868, 264, 2608, 1249, 3799, 8573, 4297, 3248, 18474, 274, 815, 18325, 3799, 266, 272, 264, 1315, 630, 24472, 16868, 266, 272, 264, 2608, 18325, 3799, 8573, 266, 272, 4297, 3248, 18474, 275, 815, 1163, 10857, 18474, 3799, 267, 337, 4297, 3248, 18474, 276, 815, 1163, 10857, 24472, 3799, 266, 272, 9984, 331, 24472, 16868, 266, 272, 9984, 331, 24472, 3799, 8573, 266, 272, 4297, 16963, 265, 288, 3799, 267, 337, 2567, 1297, 540, 32089, 630, 23912, 12417, 11850, 265, 333, 256, 1315, 630, 333, 8573, 25631, 3248, 11279, 272, 815, 7989, 3799, 267, 337, 11850, 11279, 273, 815, 1249, 3799, 264, 1315, 1109, 1249, 3799, 8573, 11850, 11279, 274, 815, 18325, 3799, 266, 272, 264, 1315, 1109, 18325, 3799, 8573, 266, 272, 11850, 11279, 275, 815, 1163, 10857, 11279, 3799, 267, 337, 4297, 3248, 11279, 276, 815, 1163, 10857, 24472, 3799, 266, 272, 9984, 331, 24472, 3799, 8573, 266, 272, 4297, 16963, 1584, 630, 318, 718, 318, 264, 32372, 1315, 3738, 3248, 14725, 16963, 9616, 3252, 1249, 3890, 543, 575, 2459, 3890, 666, 3533, 3914, 856, 741, 7687, 6025, 787, 562, 284, 14378, 543, 646, 1188, 519, 24492, 4967, 538, 8298, 6885, 6393, 2162, 476, 273, 269, 2637, 4733, 23433, 623, 4202, 692, 9223, 1294, 1934, 780, 11907, 9041, 333, 1638, 318, 3248, 6783, 1535, 314, 276, 316, 8096, 272, 9497, 288, 257, 834, 290, 257, 834, 291, 257, 834, 289, 257, 834, 292, 8442, 3248, 333, 815, 3897, 3287, 11850, 337, 815, 476, 273, 3248, 333, 18474, 815, 2036, 3799, 267, 678, 11850, 4777, 795, 815, 476, 272, 547, 562, 18474, 266, 272, 3248, 21683, 815, 782, 18474, 27203, 267, 678, 267, 540, 1535, 314, 265, 8079, 3248, 604, 678, 322, 2999, 476, 271, 1287, 4734, 3248, 1584, 795, 476, 276, 269, 1341, 274, 1535, 272, 968, 268, 9232, 1535, 273, 1341, 274, 3248, 754, 3248, 14725, 16963, 763, 3977, 538, 8298, 1384, 272, 1741, 589, 1107, 595, 454, 273, 1741, 589, 1107, 661, 454, 274, 1741, 589, 1107, 645, 454, 275, 1741, 589, 1107, 667, 454, 276, 1741, 595, 1107, 667, 454, 277, 1741, 595, 1107, 661, 454, 278, 1741, 595, 1107, 645, 454, 279, 1741, 667, 1107, 645, 454, 280, 1741, 667, 1107, 661, 454, 1015, 1741, 645, 1107, 661, 692, 7775, 952, 596, 899, 9904, 673, 15044, 8424, 1384, 11907, 9041, 333, 1638, 318, 3248, 6783, 1535, 314, 276, 316, 8096, 272, 9497, 288, 257, 834, 290, 257, 834, 291, 257, 834, 289, 257, 834, 292, 8442, 3248, 333, 815, 3897, 3287, 11850, 337, 815, 476, 273, 3248, 333, 18474, 815, 2036, 3799, 267, 678, 11850, 4777, 795, 815, 476, 272, 547, 562, 18474, 266, 272, 3248, 21683, 815, 20750, 18474, 27203, 267, 678, 267, 540, 1535, 314, 265, 8079, 3248, 604, 678, 322, 2999, 476, 271, 1287, 4734, 3248, 1584, 795, 476, 276, 269, 1341, 274, 1535, 272, 968, 268, 9232, 1535, 273, 1341, 274, 3248, 754, 3248, 14725, 16963, 763, 3977, 1384, 272, 1741, 589, 1107, 645, 454, 273, 1741, 589, 1107, 595, 454, 274, 1741, 589, 1107, 667, 454, 275, 1741, 589, 1107, 661, 454, 276, 1741, 645, 1107, 595, 454, 277, 1741, 645, 1107, 667, 454, 278, 1741, 645, 1107, 661, 454, 279, 1741, 595, 1107, 667, 454, 280, 1741, 595, 1107, 661, 454, 1015, 1741, 667, 1107, 661, 692, 296, 13761, 25599, 654, 1157, 4802, 779, 5816, 543, 1336, 1109, 11550, 290, 594, 7876, 3091, 513, 1454, 811, 16022, 1935, 547, 713, 1966, 1384, 2889, 322, 708, 331, 3248, 333, 815, 476, 276, 3248, 337, 815, 476, 273, 3248, 30915, 815, 782, 18474, 3799, 267, 678, 11850, 2745, 7329, 343, 3248, 10181, 16963, 763, 3977, 1384, 272, 476, 273, 454, 273, 476, 274, 454, 272, 476, 274, 454, 274, 476, 275, 454, 273, 476, 275, 454, 272, 476, 275, 454, 275, 476, 276, 454, 274, 476, 276, 454, 273, 476, 276, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 25800, 3054, 609, 519, 4087, 692, 2162, 589, 7756, 6733, 693, 3004, 19649, 1355, 9351, 2776, 7528, 15363, 11310, 692, 7093, 7528, 15363, 11310, 16448, 531, 3948, 606, 952, 2389, 1156, 3948, 630, 2252, 589, 267, 1287, 645, 264, 1230, 2091, 519, 1079, 2694, 540, 519, 19585, 3948, 616, 20328, 630, 2252, 645, 267, 1287, 589, 264, 23155, 3515, 616, 3515, 538, 519, 1482, 7077, 692, 2162, 476, 2420, 269, 272, 25181, 543, 1401, 10262, 27449, 692, 11243, 4147, 11261, 476, 2420, 269, 272, 25181, 543, 1401, 10262, 23356, 956, 12708, 7726, 281, 1548, 666, 596, 2161, 827, 519, 9703, 543, 16538, 7285, 540, 513, 6906, 543, 824, 29977, 286, 12754, 24522, 518, 10812, 476, 272, 10289, 25181, 692, 2162, 476, 277, 269, 27449, 269, 513, 815, 9474, 543, 536, 815, 8028, 568, 1572, 519, 5086, 645, 3722, 780, 277, 269, 27449, 5565, 12345, 513, 543, 536, 616, 1572, 28422, 1069, 1400, 952, 789, 723, 519, 1482, 1439, 4812, 269, 1403, 713, 1455, 1439, 4812, 568, 589, 267, 1287, 972, 1590, 581, 2798, 645, 543, 595, 971, 602, 513, 815, 9474, 543, 536, 815, 8028, 269, 634, 9769, 540, 519, 1079, 28422, 1069, 1400, 692, 2162, 3171, 25733, 19556, 6657, 281, 12463, 269, 276, 269, 2422, 3617, 2645, 21825, 269, 12463, 269, 277, 269, 29934, 547, 8856, 780, 291, 558, 664, 281, 16387, 476, 275, 14371, 19556, 12474, 9208, 281, 476, 272, 269, 8571, 2798, 267, 3515, 267, 1899, 12415, 267, 12345, 267, 7285, 630, 2431, 267, 8650, 267, 1073, 339, 2224, 1070, 543, 13902, 543, 6252, 3515, 269, 10576, 891, 538, 1000, 617, 7645, 5515, 780, 2162, 23817, 6865, 4953, 23802, 269, 4790, 15297, 28267, 297, 4488, 20937, 1948, 281, 717, 269, 4596, 269, 1321, 692, 12283, 6865, 4953, 23802, 4790, 15297, 28267, 297, 4488, 20937, 1948, 281, 717, 269, 4596, 269, 1321, 28267, 297, 4488, 20937, 5269, 6101, 12166, 25481, 609, 513, 3099, 540, 2645, 543, 2409, 630, 7609, 543, 2786, 8354, 267, 5569, 267, 14436, 3457, 267, 1957, 24208, 267, 6422, 692, 2162, 476, 272, 8827, 540, 14581, 692, 13043, 476, 28760, 272, 3220, 269, 30686, 681, 6139, 5988, 476, 275, 267, 476, 1001, 272, 8745, 281, 476, 272, 8827, 540, 14581, 476, 1015, 9046, 476, 272, 269, 272, 630, 13349, 8126, 757, 540, 1079, 10580, 1040, 1215, 1082, 1455, 8126, 757, 798, 1079, 10580, 723, 269, 22252, 958, 2721, 782, 1114, 2665, 10484, 2162, 30667, 476, 277, 543, 476, 278, 11872, 281, 19449, 3380, 267, 700, 1371, 543, 1230, 2017, 5270, 692, 2419, 9532, 476, 277, 543, 476, 278, 11872, 281, 19449, 3380, 267, 700, 1371, 543, 1230, 2017, 5270, 29313, 18306, 19611, 570, 2207, 5960, 6730, 667, 9128, 2562, 296, 16739, 589, 5858, 568, 519, 1305, 540, 782, 2798, 538, 513, 7077, 602, 616, 693, 513, 6378, 3845, 689, 513, 2016, 1448, 1634, 607, 519, 4099, 540, 0, 258, 2604, 538, 513, 15914, 4859, 7382, 692, 288, 20425, 7382, 568, 4904, 609, 2011, 609, 2604, 533, 693, 2837, 570, 269, 898, 814, 3259, 561, 543, 8953, 678, 269, 1703, 568, 1100, 2011, 2095, 883, 610, 856, 540, 519, 7382, 269, 634, 12718, 568, 1287, 29352, 538, 513, 5858, 971, 602, 835, 540, 519, 8188, 540, 519, 12718, 568, 693, 782, 2053, 15738, 2047, 4724, 519, 1448, 540, 10047, 543, 519, 824, 568, 6849, 2476, 269, 634, 3845, 689, 519, 1448, 540, 10047, 547, 519, 2282, 3068, 568, 681, 23645, 678, 269, 634, 7382, 568, 29352, 609, 16070, 6991, 28911, 780, 1432, 568, 519, 2604, 3330, 540, 519, 7382, 693, 1022, 3845, 546, 13902, 547, 519, 2282, 3068, 2496, 296, 917, 621, 4992, 899, 513, 2243, 689, 1250, 6323, 1837, 602, 594, 993, 3843, 547, 8945, 3025, 883, 4758, 803, 606, 2626, 547, 267, 855, 594, 9153, 621, 568, 674, 13612, 1644, 269, 594, 917, 602, 519, 2604, 2282, 519, 3544, 3068, 786, 581, 3152, 982, 519, 2604, 593, 519, 3330, 3068, 267, 855, 594, 723, 1100, 2856, 875, 835, 1131, 979, 827, 12719, 713, 780, 3633, 3951, 281, 27539, 602, 519, 10047, 568, 8345, 538, 513, 8880, 7077, 865, 602, 8904, 814, 1100, 3507, 762, 1198, 269, 594, 993, 1152, 3168, 585, 519, 2604, 607, 513, 1599, 540, 3845, 689, 519, 2282, 3068, 267, 594, 1810, 1406, 1416, 827, 519, 1295, 4593, 2544, 4463, 3604, 1813, 547, 8904, 269, 594, 849, 1810, 1406, 3494, 602, 519, 1871, 540, 678, 1058, 1689, 4376, 267, 855, 594, 3769, 621, 19037, 780, 32452, 267, 1603, 4625, 796, 3711, 27631, 2055, 899, 713, 568, 1454, 9875, 982, 594, 2219, 621, 1131, 581, 269, 594, 4440, 1869, 14406, 1945, 780, 7343, 3285, 622, 602, 1985, 942, 596, 1294, 1945, 899, 713, 593, 513, 1449, 2507, 692, 296, 6557, 711, 2386, 621, 1131, 581, 19624, 547, 1450, 28911, 547, 3914, 513, 1804, 2614, 1871, 585, 713, 547, 2339, 269, 1548, 616, 596, 3843, 547, 798, 286, 1703, 568, 3592, 6157, 513, 12863, 1259, 547, 798, 621, 780, 296, 1745, 899, 519, 3017, 568, 2693, 547, 581, 30050, 630, 684, 1652, 15060, 568, 1360, 1360, 1804, 1070, 855, 1934, 621, 4422, 19037, 1384, 5025, 1087, 11167, 519, 533, 568, 519, 2604, 693, 519, 2282, 3068, 267, 711, 519, 2484, 3068, 610, 519, 3328, 454, 16927, 993, 2469, 547, 1289, 546, 1535, 3079, 269, 901, 6971, 10539, 950, 7231, 609, 16755, 630, 20357, 546, 1223, 2901, 581, 513, 4756, 610, 519, 1129, 585, 12045, 6393, 28495, 686, 7065, 531, 10231, 666, 581, 1336, 689, 519, 10047, 2557, 543, 3845, 689, 519, 4099, 1448, 912, 320, 815, 15060, 317, 273, 2608, 630, 305, 1341, 1535, 2020, 1607, 666, 2285, 596, 519, 3196, 912, 293, 815, 12103, 815, 544, 18652, 317, 273, 2608, 630, 305, 21147, 2020, 763, 2527, 568, 519, 2527, 540, 513, 12718, 540, 2011, 693, 3845, 546, 267, 609, 11186, 11098, 15848, 780, 332, 815, 14039, 2608, 678, 317, 273, 2608, 15848, 2608, 11002, 334, 454, 293, 815, 14039, 2608, 678, 317, 273, 2608, 15848, 2608, 11002, 334, 2608, 15060, 317, 273, 2608, 630, 305, 21147, 2020, 291, 3748, 568, 513, 1599, 540, 2604, 543, 2837, 267, 799, 666, 581, 5462, 676, 519, 4998, 3154, 1876, 1384, 303, 815, 11002, 334, 2608, 12652, 29347, 2608, 570, 454, 24838, 815, 623, 1315, 630, 305, 14588, 322, 307, 994, 293, 815, 14039, 2608, 678, 317, 273, 2608, 15848, 2608, 630, 303, 3287, 19422, 305, 14588, 322, 454, 307, 4297, 2608, 15060, 317, 273, 2608, 630, 305, 21147, 2020, 293, 568, 519, 2121, 3196, 593, 519, 11186, 12718, 267, 799, 5673, 1152, 593, 519, 3017, 538, 2604, 693, 3845, 1535, 543, 3845, 1535, 266, 11459, 269, 898, 1131, 849, 4096, 593, 8904, 952, 649, 20039, 585, 621, 780, 293, 815, 630, 7032, 2608, 678, 317, 273, 264, 2608, 630, 303, 630, 343, 1341, 15848, 264, 910, 623, 630, 343, 4297, 815, 630, 7032, 2608, 678, 317, 273, 264, 2608, 16733, 303, 3287, 264, 1341, 546, 303, 264, 910, 623, 3287, 4917, 293, 815, 630, 7032, 2608, 678, 317, 273, 264, 2608, 546, 303, 454, 27802, 3482, 538, 938, 4082, 585, 674, 1384, 293, 815, 14039, 2608, 678, 317, 273, 2608, 15848, 2608, 630, 303, 3287, 19422, 305, 14588, 322, 265, 307, 4297, 2608, 15060, 317, 273, 2608, 630, 305, 21147, 264, 815, 630, 7032, 2608, 678, 317, 273, 264, 2608, 546, 303, 692, 19667, 728, 676, 14039, 2608, 678, 317, 273, 1384, 11459, 2608, 630, 303, 3287, 19422, 305, 14588, 322, 265, 307, 4297, 2608, 15060, 317, 273, 2608, 630, 305, 21147, 264, 815, 546, 303, 692, 31711, 918, 815, 15060, 317, 273, 1315, 630, 305, 14588, 322, 265, 307, 264, 547, 2973, 909, 519, 2451, 1688, 2427, 1384, 11459, 2608, 623, 3287, 264, 2608, 918, 2608, 630, 305, 21147, 264, 815, 546, 303, 692, 1607, 568, 513, 5276, 11186, 3830, 585, 623, 3287, 1070, 543, 666, 581, 12193, 676, 694, 704, 566, 1384, 323, 303, 18025, 3287, 264, 815, 15848, 2608, 918, 2608, 630, 305, 21147, 2020, 18204, 3433, 1312, 5011, 1384, 15238, 27456, 3287, 4297, 815, 918, 305, 343, 1341, 918, 20080, 317, 273, 1315, 476, 273, 1341, 595, 630, 8489, 595, 568, 3586, 540, 5610, 2020, 22091, 11228, 540, 1312, 5011, 630, 3698, 710, 674, 815, 552, 317, 290, 17107, 303, 3287, 264, 815, 552, 317, 290, 2608, 552, 22677, 298, 305, 343, 1341, 918, 343, 317, 273, 1315, 273, 264, 815, 674, 2608, 552, 22677, 298, 305, 343, 1341, 918, 343, 317, 273, 1315, 273, 2020, 8196, 519, 10465, 2783, 267, 623, 263, 271, 264, 815, 533, 547, 4194, 585, 535, 1384, 335, 815, 674, 2608, 552, 22677, 271, 264, 2608, 552, 22677, 271, 264, 815, 674, 454, 293, 815, 533, 692, 27802, 3482, 713, 1394, 538, 585, 674, 692, 303, 3287, 264, 815, 533, 2608, 552, 22677, 298, 305, 343, 1341, 918, 343, 317, 273, 1315, 273, 264, 815, 533, 2608, 552, 22677, 18652, 317, 273, 1315, 630, 305, 14588, 322, 307, 264, 2608, 630, 305, 20080, 21147, 317, 273, 270, 273, 11723, 8794, 930, 4890, 2338, 1384, 335, 815, 476, 6344, 533, 19561, 454, 18652, 815, 476, 1015, 1315, 338, 454, 307, 815, 476, 3583, 5232, 18278, 815, 476, 4335, 5232, 24419, 710, 454, 305, 14588, 322, 630, 1721, 2011, 264, 815, 476, 7871, 269, 31874, 10264, 2608, 561, 8578, 1315, 630, 331, 321, 2608, 4110, 24419, 710, 994, 305, 815, 476, 274, 3952, 454, 343, 815, 476, 273, 3952, 692, 303, 263, 271, 264, 815, 476, 6344, 533, 19561, 454, 303, 263, 273, 264, 815, 476, 6344, 269, 15171, 533, 19561, 692, 3383, 594, 1810, 1406, 1589, 596, 786, 1205, 1022, 1713, 2604, 4473, 1317, 540, 10047, 267, 8259, 596, 616, 15914, 5393, 3728, 630, 1015, 2234, 4882, 568, 2907, 811, 982, 513, 4838, 829, 2034, 1040, 1656, 15914, 513, 7382, 1360, 3728, 1131, 3100, 547, 581, 513, 3106, 9651, 269, 594, 6557, 8049, 267, 1018, 568, 707, 3498, 286, 1323, 6186, 609, 519, 7382, 593, 621, 2496, 32452, 267, 594, 4769, 1406, 1589, 602, 2576, 729, 2469, 547, 960, 998, 519, 3003, 3364, 2933, 269, 11289, 596, 3627, 269, 594, 729, 15691, 2576, 1522, 2285, 803, 513, 5363, 4542, 547, 1376, 856, 609, 267, 855, 596, 1175, 4682, 543, 1705, 519, 3003, 3364, 1210, 13053, 779, 476, 273, 526, 269, 918, 16997, 547, 596, 269, 594, 6836, 513, 2147, 1935, 855, 2219, 602, 972, 1590, 581, 513, 12863, 1259, 547, 798, 621, 865, 594, 16718, 269, 594, 6557, 2469, 547, 1427, 787, 602, 1935, 1631, 269, 594, 786, 2022, 1586, 609, 2796, 543, 811, 4555, 1310, 780, 3528, 519, 1259, 267, 594, 1185, 2760, 1256, 4862, 540, 519, 24419, 710, 2837, 4336, 2394, 1318, 1631, 780, 14187, 7811, 3635, 267, 855, 900, 514, 1836, 791, 24411, 269, 1809, 596, 6785, 602, 2907, 780, 763, 7503, 1063, 18278, 543, 24419, 710, 568, 5111, 681, 815, 674, 1341, 476, 29121, 630, 296, 1589, 602, 779, 4443, 547, 3314, 982, 918, 815, 595, 1341, 476, 24129, 1070, 865, 519, 2953, 10917, 547, 946, 568, 476, 30019, 5232, 681, 1107, 711, 602, 621, 2306, 1454, 3017, 547, 519, 1966, 780, 31800, 1695, 267, 596, 2461, 1318, 269, 594, 1589, 1775, 1500, 1776, 1507, 5470, 281, 621, 1058, 581, 476, 6344, 533, 19561, 15378, 267, 865, 476, 13670, 610, 865, 6207, 269, 6496, 333, 1406, 1860, 519, 3803, 2604, 13506, 1454, 1498, 780, 11990, 267, 594, 5249, 998, 519, 2979, 8885, 543, 3357, 547, 519, 3169, 1482, 1267, 607, 596, 1705, 912, 303, 3287, 264, 815, 623, 263, 271, 264, 324, 22677, 22886, 317, 273, 27562, 343, 23444, 343, 317, 273, 8358, 273, 19422, 15045, 14588, 322, 4917, 3602, 912, 303, 263, 271, 264, 568, 519, 2604, 693, 519, 2282, 3068, 454, 22886, 568, 519, 16070, 6991, 540, 519, 1062, 454, 305, 568, 519, 3845, 689, 519, 4099, 540, 10047, 540, 519, 1062, 547, 519, 2282, 3068, 454, 343, 568, 519, 3845, 689, 519, 2282, 3068, 454, 307, 568, 519, 2837, 454, 305, 14588, 322, 568, 519, 1808, 3154, 3586, 540, 519, 3154, 692, 296, 22821, 1406, 4397, 519, 1267, 547, 581, 1875, 1467, 8765, 8200, 593, 2837, 2094, 2837, 543, 2604, 616, 2047, 14354, 538, 519, 4998, 3154, 1876, 269, 21624, 2507, 692, 7712, 594, 993, 849, 5461, 538, 4466, 519, 12503, 950, 594, 1152, 917, 519, 4358, 4170, 267, 594, 12193, 585, 623, 263, 271, 264, 538, 519, 2013, 1141, 681, 284, 271, 269, 634, 7533, 6382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8475, 26942, 21405, 284, 274, 267, 3712, 8435, 3966, 284, 273, 10142, 3698, 6460, 28399, 825, 1948, 322, 809, 707, 8670, 1934, 256, 1477, 825, 2132, 24653, 258, 2908, 6885, 585, 7487, 7503, 3349, 1477, 3698, 9184, 28399, 825, 1283, 284, 307, 963, 767, 14052, 825, 2518, 9184, 7272, 545, 1477, 825, 1283, 269, 6625, 4226, 14090, 3488, 15879, 545, 4577, 13448, 334, 308, 318, 6625, 269, 4815, 20298, 825, 9184, 7272, 545, 284, 15862, 307, 330, 269, 20124, 15862, 263, 15862, 269, 13449, 2891, 637, 1125, 268, 15647, 3583, 277, 277, 2918, 30033, 6924, 280, 278, 1240, 275, 935, 26404, 629, 27970, 8442, 3418, 825, 2978, 284, 299, 8475, 6025, 641, 267, 13548, 284, 339, 629, 7272, 545, 1040, 28186, 21405, 284, 271, 10142, 825, 536, 659, 318, 8117, 815, 29502, 6025, 641, 267, 1257, 6889, 3724, 2580, 536, 326, 6889, 258, 6812, 289, 13697, 271, 2580, 14950, 343, 6889, 1015, 2580, 533, 8014, 6889, 1015, 2580, 12252, 284, 9008, 6155, 652, 5797, 1040, 28186, 21405, 284, 272, 10142, 825, 2132, 5897, 24653, 258, 27583, 1477, 3240, 9078, 8475, 271, 284, 299, 8475, 20172, 267, 3667, 6889, 567, 634, 5651, 572, 8943, 20593, 614, 2580, 325, 326, 6889, 258, 4366, 273, 292, 289, 280, 2580, 325, 2632, 284, 3488, 307, 1307, 3299, 1789, 1070, 25247, 343, 284, 2004, 3418, 3240, 9078, 8475, 271, 26942, 21405, 284, 271, 267, 26383, 284, 271, 3418, 258, 13318, 2315, 547, 3593, 1477, 332, 29786, 272, 284, 299, 8475, 20172, 267, 3667, 6889, 17264, 13673, 9898, 22400, 590, 7728, 9970, 9215, 12164, 309, 12224, 8668, 5442, 15674, 631, 3036, 10345, 2910, 14701, 8627, 476, 2433, 2580, 25247, 343, 284, 2568, 28872, 8014, 284, 736, 3418, 332, 29786, 272, 26942, 21405, 284, 272, 10142, 258, 10938, 519, 7005, 4845, 1477, 324, 284, 22209, 787, 20172, 267, 536, 326, 6889, 258, 17584, 293, 280, 293, 280, 2580, 535, 326, 6889, 258, 274, 290, 4962, 278, 292, 2580, 12296, 284, 2004, 14720, 4650, 12296, 284, 272, 267, 325, 2632, 284, 3488, 307, 1307, 3299, 866, 17903, 338, 815, 552, 10947, 14052, 258, 13765, 1169, 1915, 689, 5569, 521, 602, 13292, 609, 519, 6538, 1477, 324, 26942, 21405, 284, 273, 267, 26383, 284, 271, 267, 25247, 343, 284, 1428, 28872, 8014, 284, 1015, 10142, 258, 31728, 547, 1930, 1776, 6885, 1477, 11357, 2466, 318, 31728, 284, 3719, 2023, 20172, 267, 3667, 6889, 306, 7417, 5990, 12164, 309, 8991, 12778, 570, 21764, 24333, 12252, 284, 339, 629, 14720, 326, 6889, 258, 6812, 289, 13697, 271, 2580, 25247, 343, 6889, 1015, 2580, 335, 8014, 6889, 1015, 14744, 11357, 2466, 318, 31728, 26942, 21405, 284, 275, 267, 26383, 284, 271, 10142, 258, 935, 3200, 7735, 1477, 11357, 2466, 318, 31728, 284, 3719, 2023, 20172, 267, 3667, 6889, 25321, 309, 12224, 8206, 2580, 12252, 284, 935, 3200, 14720, 326, 6889, 258, 6812, 289, 13697, 271, 2580, 25247, 343, 6889, 1015, 2580, 335, 8014, 6889, 1015, 14744, 11357, 2466, 318, 31728, 26942, 21405, 284, 276, 267, 26383, 284, 271, 267, 3712, 8435, 3966, 284, 273, 10142, 258, 24525, 28947, 1477, 935, 333, 25379, 14052, 10174, 6230, 664, 31467, 14052, 0, 12163, 14112, 652, 1790, 987, 5690, 29101, 1739, 4144, 329, 330, 14259, 781, 20125, 2619, 780, 24687, 912, 825, 910, 901, 568, 513, 986, 326, 2389, 698, 3070, 602, 1281, 711, 946, 513, 24050, 547, 3142, 519, 6988, 1524, 630, 333, 317, 273, 3079, 540, 519, 2009, 562, 2845, 3799, 264, 1916, 8931, 825, 910, 5502, 540, 5329, 1239, 676, 14391, 908, 9136, 267, 621, 8952, 513, 10518, 540, 782, 519, 2009, 1985, 3268, 269, 901, 2306, 713, 6388, 22350, 7294, 563, 20701, 5814, 546, 338, 3052, 1429, 607, 3113, 7531, 3698, 568, 26073, 309, 1112, 800, 9638, 987, 267, 642, 17484, 2187, 825, 952, 2619, 314, 271, 6012, 268, 272, 316, 2652, 642, 17484, 912, 1038, 2132, 6936, 454, 825, 2132, 8771, 7531, 3698, 3643, 19723, 23753, 9638, 23411, 267, 2619, 267, 6316, 267, 10272, 17107, 825, 2619, 267, 1942, 815, 2619, 454, 825, 1942, 6834, 6316, 269, 7076, 454, 825, 2619, 6910, 263, 8354, 30419, 2020, 825, 10272, 14491, 263, 8354, 8807, 3944, 2020, 825, 10092, 6910, 9230, 12949, 267, 1942, 264, 9239, 3698, 1402, 8867, 770, 21798, 26073, 4517, 10955, 613, 9638, 23411, 267, 10272, 2187, 825, 1295, 21798, 815, 7183, 692, 825, 585, 2619, 267, 1942, 538, 10092, 912, 1038, 2619, 3383, 293, 541, 815, 2619, 454, 1038, 2619, 815, 2619, 15631, 272, 2639, 1038, 585, 6316, 538, 2619, 269, 539, 2471, 912, 2018, 952, 6316, 30419, 711, 538, 10272, 912, 3546, 952, 1295, 21798, 568, 7183, 610, 1942, 1341, 6316, 269, 7076, 2999, 1295, 21798, 912, 7386, 1295, 292, 815, 6316, 454, 7386, 1295, 21798, 815, 1942, 1341, 6316, 269, 7076, 454, 7386, 1121, 26073, 815, 630, 12949, 3383, 293, 541, 267, 1942, 2020, 825, 10092, 31927, 263, 8145, 26073, 2020, 825, 2132, 630, 8145, 26073, 267, 1295, 292, 9239, 3698, 1265, 14112, 652, 26073, 31855, 267, 642, 9359, 267, 642, 17484, 2187, 825, 10092, 815, 11713, 825, 10272, 815, 1305, 10797, 825, 585, 6316, 538, 642, 9359, 269, 539, 2471, 912, 1038, 10092, 6910, 263, 8443, 341, 9359, 267, 6316, 30419, 3910, 6316, 269, 7076, 4917, 1038, 10272, 14491, 17635, 9359, 2020, 825, 1247, 7003, 9638, 23411, 264, 3436, 476, 271, 912, 1038, 2619, 267, 6316, 815, 1402, 8867, 770, 21798, 26073, 4517, 10955, 613, 9638, 23411, 267, 10272, 994, 1038, 3643, 19723, 23753, 9638, 23411, 267, 2619, 267, 6316, 267, 10272, 2020, 1038, 952, 568, 26073, 309, 1112, 800, 9638, 987, 267, 642, 17484, 2187, 2018, 2132, 2619, 314, 271, 6540, 825, 6318, 1401, 4003, 2891, 14112, 652, 2619, 5470, 257, 9239, 3698, 1449, 6600, 32327, 2187, 825, 1820, 3488, 14818, 532, 609, 3758, 281, 4939, 338, 9538, 4939, 32197, 2020, 825, 609, 1930, 6600, 32327, 267, 1412, 337, 10807, 607, 535, 912, 1038, 12297, 18360, 815, 535, 18667, 10797, 825, 717, 815, 3113, 3052, 1429, 5804, 291, 582, 21803, 5560, 582, 18360, 2020, 825, 642, 9359, 815, 717, 269, 3200, 1182, 9131, 320, 23300, 825, 642, 17484, 815, 717, 269, 3200, 1182, 9131, 323, 23300, 825, 20125, 26073, 815, 1265, 14112, 652, 26073, 31855, 267, 642, 9359, 267, 642, 17484, 2020, 825, 585, 642, 538, 20125, 26073, 912, 1038, 1820, 17635, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1449, 3488, 1495, 20526, 318, 7076, 539, 14682, 1429, 5334, 574, 921, 31715, 5073, 825, 1449, 3488, 1495, 20526, 318, 7076, 539, 14682, 1429, 5334, 574, 921, 273, 31715, 5073, 825, 1449, 3488, 1495, 20526, 318, 7076, 539, 14682, 1429, 5334, 574, 921, 274, 31715, 5073, 0, 258, 6349, 269, 14091, 482, 353, 425, 488, 372, 424, 505, 490, 425, 479, 361, 10563, 482, 510, 10563, 508, 494, 423, 354, 368, 422, 372, 364, 263, 12749, 5937, 1144, 2433, 10563, 508, 361, 422, 371, 478, 267, 14091, 358, 498, 423, 359, 357, 423, 355, 361, 32510, 506, 27338, 424, 483, 502, 10142, 258, 30319, 27338, 423, 480, 502, 423, 363, 373, 14091, 361, 372, 32510, 506, 423, 354, 376, 29030, 495, 372, 32629, 498, 423, 491, 364, 5440, 5937, 1144, 14602, 502, 14091, 364, 358, 423, 366, 499, 423, 493, 482, 10563, 508, 486, 30319, 10563, 510, 499, 423, 493, 482, 28990, 483, 21498, 486, 30319, 23228, 258, 30319, 27338, 423, 480, 502, 423, 363, 373, 14091, 361, 372, 32510, 506, 21844, 365, 364, 14602, 502, 14091, 490, 478, 423, 370, 478, 423, 370, 482, 14602, 478, 645, 18847, 268, 10000, 423, 364, 358, 424, 489, 507, 424, 506, 376, 423, 350, 506, 476, 17432, 368, 422, 366, 364, 17432, 502, 32629, 498, 422, 366, 490, 10563, 510, 499, 424, 482, 507, 28990, 483, 21498, 486, 30319, 269, 5897, 258, 423, 358, 498, 423, 359, 357, 423, 354, 376, 476, 17432, 368, 423, 484, 497, 422, 367, 510, 14091, 370, 486, 17432, 482, 424, 504, 498, 17432, 506, 10563, 508, 361, 422, 371, 478, 425, 502, 372, 424, 370, 506, 14602, 482, 14091, 364, 358, 424, 356, 478, 17432, 506, 30319, 269, 5897, 5814, 19523, 1477, 338, 903, 14714, 19734, 284, 13449, 2891, 6358, 17902, 2580, 1412, 337, 262, 10142, 3698, 667, 12396, 12759, 8029, 825, 952, 10085, 314, 6352, 316, 285, 271, 281, 1948, 423, 358, 498, 423, 359, 357, 423, 355, 361, 424, 499, 486, 29306, 494, 21844, 364, 496, 27338, 10563, 507, 368, 423, 363, 372, 14091, 497, 353, 424, 500, 368, 32174, 478, 28990, 486, 30319, 32629, 498, 10563, 507, 502, 423, 363, 372, 1477, 1038, 2132, 10085, 314, 6352, 15947, 825, 952, 7003, 2525, 272, 610, 7003, 2525, 273, 6769, 1038, 2132, 7003, 1477, 825, 3116, 6769, 1038, 10085, 314, 6352, 24557, 5263, 306, 12759, 268, 272, 11924, 5263, 306, 12759, 268, 273, 264, 1948, 423, 358, 498, 423, 359, 357, 423, 355, 361, 32510, 506, 27338, 424, 483, 502, 1477, 1038, 2132, 10085, 314, 6352, 316, 24653, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 1029, 257, 6769, 825, 562, 25507, 9272, 3890, 3418, 825, 10085, 17342, 271, 316, 16732, 333, 266, 272, 3418, 825, 1820, 263, 5263, 306, 3799, 17903, 0, 278, 269, 14091, 361, 372, 28990, 494, 29306, 368, 422, 367, 376, 14091, 480, 368, 28990, 354, 17432, 357, 424, 486, 502, 5897, 916, 326, 284, 834, 2005, 568, 5384, 257, 5897, 2745, 263, 916, 326, 269, 21639, 28829, 1948, 3951, 4959, 29376, 292, 1477, 2745, 263, 916, 326, 31573, 28829, 1948, 527, 568, 942, 1477, 2745, 263, 916, 326, 264, 1948, 2005, 568, 5384, 267, 10563, 505, 494, 423, 367, 372, 27338, 14091, 364, 498, 423, 478, 490, 32629, 498, 21844, 365, 368, 10563, 499, 482, 21498, 486, 30319, 269, 5897, 339, 5404, 815, 916, 326, 269, 21639, 14052, 2745, 6025, 5404, 3418, 258, 23713, 24833, 277, 4281, 280, 1477, 258, 3951, 4959, 29376, 292, 5897, 2745, 6025, 5404, 26098, 3488, 307, 262, 4297, 1948, 262, 307, 262, 32174, 478, 21844, 364, 478, 28990, 354, 423, 357, 376, 32510, 478, 14091, 480, 502, 424, 502, 353, 32629, 498, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 14091, 482, 502, 423, 366, 482, 10563, 364, 378, 422, 372, 364, 5897, 2745, 6025, 5404, 29644, 3488, 307, 262, 4297, 258, 262, 307, 262, 32174, 478, 14091, 359, 485, 423, 366, 486, 14091, 480, 502, 424, 502, 353, 32629, 498, 424, 356, 478, 5897, 2745, 6025, 5404, 11468, 273, 8079, 1948, 271, 349, 273, 268, 272, 422, 373, 490, 424, 356, 478, 14091, 377, 495, 424, 499, 482, 423, 480, 372, 30319, 15301, 338, 997, 532, 10142, 2745, 6025, 5404, 314, 274, 281, 276, 8079, 1948, 274, 349, 275, 422, 373, 490, 424, 356, 478, 14091, 377, 495, 424, 499, 482, 423, 480, 372, 30319, 269, 5897, 2745, 12759, 263, 916, 326, 4297, 1948, 422, 367, 369, 423, 364, 365, 14602, 482, 29030, 493, 361, 17432, 357, 17432, 506, 20444, 326, 14602, 502, 21844, 372, 372, 27338, 815, 476, 1015, 5897, 1721, 1775, 538, 2039, 12759, 263, 916, 326, 264, 8029, 825, 1820, 263, 916, 326, 5157, 3910, 1439, 8782, 1412, 10142, 258, 343, 32174, 478, 20444, 326, 14602, 502, 14091, 361, 372, 28990, 494, 476, 17432, 502, 423, 480, 502, 17432, 502, 423, 480, 502, 32174, 478, 14091, 494, 506, 30319, 23228, 1721, 1535, 538, 20444, 326, 6769, 825, 1820, 3287, 267, 1439, 8782, 1412, 3418, 2745, 31476, 1721, 1535, 538, 20444, 326, 6769, 825, 952, 1535, 18994, 21639, 263, 2567, 1948, 343, 32174, 478, 14091, 490, 478, 423, 361, 372, 28990, 494, 27338, 423, 358, 368, 10563, 364, 372, 1477, 1038, 1820, 3287, 267, 1439, 8782, 1412, 264, 1948, 423, 490, 478, 423, 361, 372, 28990, 494, 423, 356, 490, 10563, 370, 506, 423, 510, 354, 1477, 2745, 31476, 1721, 1535, 538, 20444, 326, 6769, 825, 952, 1535, 18994, 12294, 28399, 1038, 1820, 3287, 267, 1439, 8782, 1412, 264, 1948, 424, 484, 490, 423, 361, 372, 28990, 494, 423, 356, 490, 10563, 370, 506, 423, 510, 354, 1477, 2745, 31476, 1721, 1535, 538, 20444, 326, 6769, 825, 952, 1535, 18994, 10401, 263, 2567, 1948, 343, 32174, 478, 10563, 499, 490, 425, 490, 490, 423, 366, 367, 14602, 372, 32174, 478, 286, 21844, 367, 369, 423, 364, 365, 27338, 10563, 499, 482, 21498, 486, 30319, 1477, 1038, 1820, 3287, 267, 1439, 284, 5257, 3418, 2745, 31476, 258, 529, 10401, 3890, 32629, 498, 10563, 486, 360, 28990, 494, 423, 480, 502, 21844, 367, 369, 423 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 519, 1318, 540, 513, 19988, 4182, 547, 3442, 519, 10464, 652, 543, 1655, 3681, 689, 1851, 513, 2039, 540, 2147, 5370, 3812, 5001, 269, 17497, 267, 609, 519, 5777, 540, 10677, 539, 21113, 538, 3127, 3622, 519, 9803, 9170, 538, 519, 1158, 267, 6252, 1104, 566, 568, 711, 513, 24986, 991, 1107, 855, 538, 519, 2104, 267, 621, 1223, 1134, 581, 267, 543, 519, 1876, 2115, 547, 2992, 3617, 22509, 697, 563, 4517, 972, 568, 811, 281, 519, 2165, 540, 10677, 585, 782, 1568, 20489, 519, 5934, 4808, 9788, 1524, 538, 519, 7137, 928, 13482, 543, 570, 6020, 11679, 267, 585, 799, 972, 568, 9444, 1022, 991, 267, 6862, 7954, 269, 1703, 568, 606, 11991, 11984, 1063, 834, 24465, 1568, 257, 543, 834, 20288, 793, 1568, 257, 910, 513, 11984, 5310, 4570, 538, 2053, 2250, 267, 855, 2016, 519, 18735, 540, 2518, 2213, 2923, 267, 15991, 4143, 538, 519, 1459, 942, 269, 634, 968, 325, 1515, 7231, 892, 17756, 799, 1450, 3610, 543, 1053, 547, 1451, 796, 16442, 1229, 991, 547, 581, 3376, 2989, 952, 789, 616, 547, 581, 960, 762, 543, 3730, 547, 1312, 269, 634, 2920, 23933, 856, 1808, 2010, 540, 2229, 1568, 602, 1590, 581, 1500, 3015, 547, 513, 2489, 1857, 281, 713, 1592, 1058, 1331, 1022, 2229, 30845, 1433, 267, 8313, 610, 519, 899, 267, 2864, 982, 8806, 5359, 1107, 2016, 602, 519, 7616, 585, 1022, 2229, 8313, 2501, 689, 27710, 16558, 563, 4407, 519, 1699, 14645, 2920, 543, 922, 6069, 22853, 723, 711, 8854, 29462, 267, 621, 1131, 581, 4023, 547, 2161, 602, 972, 568, 2370, 4656, 540, 519, 2640, 267, 25354, 543, 4539, 540, 513, 1062, 540, 26771, 1852, 602, 1906, 1174, 282, 513, 1062, 602, 2943, 5540, 3025, 269, 769, 713, 267, 649, 616, 782, 635, 14032, 281, 585, 711, 3246, 1732, 24300, 540, 513, 1099, 7095, 5188, 267, 543, 585, 711, 12180, 513, 1062, 540, 7104, 7589, 543, 3403, 547, 519, 3656, 1184, 563, 2026, 835, 1900, 538, 713, 4287, 267, 538, 5147, 476, 1220, 277, 267, 519, 20010, 4521, 17072, 267, 609, 519, 1489, 540, 1896, 14540, 630, 1492, 18299, 523, 7082, 543, 18523, 11059, 6828, 267, 519, 18763, 11657, 776, 1160, 3027, 619, 5948, 267, 2817, 5948, 585, 519, 32559, 267, 10418, 585, 519, 5530, 540, 15043, 5081, 7724, 267, 20429, 267, 19901, 6732, 7690, 267, 3220, 880, 339, 643, 1731, 331, 836, 5842, 724, 267, 631, 590, 4210, 3133, 11936, 3194, 7690, 267, 10067, 16951, 910, 4139, 7046, 11905, 8416, 3127, 543, 519, 570, 1092, 4659, 540, 4317, 7070, 264, 31751, 513, 3102, 3210, 547, 519, 6069, 22853, 269, 634, 3210, 6854, 538, 2247, 513, 4909, 2460, 540, 10677, 281, 602, 7214, 3959, 4027, 14122, 609, 621, 519, 5539, 540, 14123, 1569, 267, 711, 28142, 621, 563, 2690, 811, 1344, 3346, 3284, 4599, 327, 8403, 693, 575, 21166, 2593, 610, 1294, 281, 5291, 2517, 4178, 269, 5306, 18721, 1721, 636, 3820, 11305, 9728, 318, 600, 19049, 0, 3528, 12756, 8709, 3541, 5576, 320, 541, 454, 5649, 6732, 610, 8281, 717, 12171, 269, 853, 719, 543, 519, 16723, 17959, 540, 8890, 6776, 13898, 630, 14532, 540, 8890, 6776, 13898, 264, 7300, 454, 16032, 10952, 7954, 1299, 1893, 2835, 454, 20751, 519, 4571, 32732, 7570, 2540, 6424, 670, 2541, 11130, 602, 10888, 12605, 6645, 721, 711, 4376, 538, 14621, 547, 519, 1249, 540, 519, 17782, 2856, 269, 2943, 4890, 17748, 3006, 25221, 519, 2418, 540, 28507, 3172, 6421, 3330, 540, 1360, 1507, 2157, 540, 6959, 269, 519, 4316, 540, 713, 1826, 540, 16762, 9939, 609, 856, 513, 1483, 1523, 1797, 602, 670, 2541, 781, 4661, 568, 26843, 563, 1607, 1395, 1748, 8057, 856, 540, 1353, 693, 2473, 518, 2135, 24315, 290, 543, 519, 575, 7491, 585, 519, 4983, 540, 5678, 543, 1239, 630, 5425, 299, 296, 264, 2429, 519, 1101, 476, 1321, 3275, 540, 11483, 299, 296, 781, 1272, 269, 519, 2295, 729, 2899, 2813, 607, 513, 11018, 2990, 585, 2043, 689, 1082, 1585, 1353, 5389, 543, 972, 814, 1044, 513, 2603, 7279, 538, 7487, 875, 930, 540, 519, 2081, 1058, 581, 8678, 538, 513, 6093, 3801, 547, 5660, 519, 6988, 540, 1893, 543, 1702, 563, 1432, 616, 2067, 12166, 5686, 286, 769, 1018, 1745, 616, 972, 606, 11999, 3099, 540, 2152, 593, 513, 1899, 286, 1018, 781, 519, 1330, 1154, 1851, 10686, 1227, 1318, 6898, 5111, 4890, 9308, 5515, 630, 528, 5322, 264, 663, 9090, 519, 1318, 18408, 540, 513, 2067, 6310, 9511, 630, 10193, 538, 2230, 6066, 21663, 8151, 689, 23006, 543, 654, 8636, 2102, 7322, 267, 519, 19545, 9727, 875, 938, 4308, 902, 609, 5515, 543, 27291, 568, 547, 581, 6956, 2250, 519, 2930, 17117, 540, 5686, 540, 9819, 543, 5013, 563, 4415, 713, 7274, 540, 519, 3126, 20603, 267, 9210, 626, 655, 1108, 267, 543, 519, 2319, 6891, 540, 3163, 12995, 998, 590, 269, 31670, 2006, 1696, 620, 269, 513, 9157, 4901, 568, 1373, 4797, 269, 634, 5311, 685, 1101, 7274, 11130, 602, 513, 4480, 547, 1205, 1134, 519, 4296, 1851, 1434, 10385, 267, 6138, 540, 9443, 267, 543, 9443, 568, 547, 5431, 519, 3984, 540, 1114, 2845, 923, 602, 616, 693, 1459, 1373, 9112, 563, 15761, 571, 2200, 585, 717, 12171, 269, 853, 719, 543, 519, 16723, 17959, 540, 8890, 6776, 13898, 630, 14532, 540, 8890, 6776, 13898, 994, 294, 12171, 269, 853, 719, 543, 519, 16723, 17959, 540, 8890, 6776, 13898, 630, 14532, 540, 8890, 6776, 13898, 264, 676, 12756, 8709, 3541, 5576, 320, 541, 0, 763, 3114, 5888, 540, 519, 7777, 6276, 31354, 568, 8612, 676, 519, 4542, 623, 321, 275, 8722, 306, 321, 277, 306, 1691, 267, 513, 8048, 11635, 4165, 574, 3415, 590, 5285, 728, 269, 901, 6276, 31354, 12851, 547, 519, 590, 5285, 1938, 543, 590, 5285, 657, 531, 1206, 7777, 1362, 269, 25115, 6276, 31354, 568, 1034, 4122, 1031, 607, 7777, 19494, 543, 621, 568, 1419, 1336, 27109, 8799, 543, 8748, 5920, 950, 9763, 896, 17027, 8701, 1944, 1769, 9145, 8554, 269, 6276, 31354, 568, 835, 540, 519, 1906, 30423, 6886, 602, 1106, 5386, 1035, 7781, 14848, 267, 799, 2408, 607, 4552, 6438, 11103, 602, 616, 2356, 1360, 4277, 950, 9763, 896, 4620, 5766, 1429, 545, 8701, 1944, 1769, 9145, 8554, 269, 898, 666, 581, 1336, 602, 519, 11103, 949, 2408, 865, 5394, 865, 607, 547, 3382, 513, 19494, 609, 4552, 6438, 11103, 950, 621, 568, 11117, 896, 8701, 1944, 9145, 8554, 269, 7790, 11631, 898, 949, 849, 2408, 23661, 569, 22412, 730, 1063, 824, 6886, 543, 949, 581, 11821, 609, 4890, 24827, 269, 1703, 616, 824, 4277, 6886, 602, 849, 1106, 2147, 1035, 7781, 14848, 602, 666, 581, 19451, 607, 6276, 31354, 269, 1452, 616, 519, 7777, 536, 9567, 9734, 924, 543, 30885, 924, 269, 1717, 267, 621, 814, 1044, 849, 1336, 602, 519, 14848, 540, 7777, 536, 9567, 9734, 924, 616, 811, 8465, 543, 30885, 924, 14848, 616, 2356, 1336, 11954, 5835, 602, 568, 1360, 4277, 950, 9763, 896, 8701, 1242, 1769, 17209, 269, 6276, 31354, 568, 849, 3006, 11821, 609, 7777, 853, 30519, 924, 1317, 621, 666, 581, 849, 1336, 8108, 3677, 24388, 1738, 14848, 1175, 899, 588, 30519, 924, 269, 6276, 31354, 14848, 616, 2356, 1336, 28221, 269, 25115, 6276, 31354, 12851, 547, 519, 10126, 540, 590, 5285, 1938, 1141, 17059, 3415, 6411, 811, 899, 513, 4496, 982, 513, 1875, 2173, 13926, 543, 26328, 519, 2990, 1141, 621, 568, 27433, 547, 9829, 2720, 269, 901, 10126, 568, 9829, 657, 531, 1206, 563, 14737, 1968, 6276, 31354, 814, 1044, 849, 1572, 607, 12457, 17059, 3415, 543, 13692, 7626, 269, 901, 6276, 31354, 7777, 2249, 729, 3957, 1310, 7917, 6276, 517, 630, 10082, 275, 7790, 476, 6977, 275, 1070, 540, 3798, 514, 7921, 269, 6276, 31354, 729, 1101, 4330, 693, 12397, 13665, 267, 4789, 538, 476, 9264, 276, 563, 14737, 1968, 6276, 31354, 14848, 616, 1419, 1336, 4158, 12457, 538, 2681, 602, 568, 811, 4277, 950, 9763, 896, 8701, 1944, 1769, 9145, 8554, 269, 634, 561, 13831, 602, 568, 4122, 17820, 676, 7777, 6276, 31354, 538, 10630, 1769, 540, 8701, 1944, 9145, 8554, 585, 2520, 5505, 568, 2356, 17285, 543, 3623, 5652, 269, 25115, 6276, 31354, 568, 4122, 1336, 2348, 1434, 1579, 822, 720, 538, 835, 4287, 13902, 547, 922, 3259, 267, 799, 666, 581, 1336, 1454, 5693, 17820, 950, 519, 19494, 568, 11117, 896, 17027, 8701, 1944, 1769, 17209, 269, 634, 17795, 602, 568, 4122, 1336, 17820, 676, 7777, 6276, 31354, 896, 8701, 1944, 17209, 568, 2356, 19514, 269, 634, 21052, 2268, 540, 519, 6276, 31354, 950, 621, 568, 11117, 1210, 519, 15011, 338, 4336, 1505, 568, 2356, 8151, 689, 476, 273, 547, 476, 274, 269, 1879, 19494, 540, 7777, 6276, 31354, 568, 6299, 5523, 593, 513, 3043, 28028, 1792, 752, 6676, 267, 621, 568, 4122, 1336, 6028, 513, 12457, 3109, 1792, 752, 269, 634, 1808, 8904, 2268, 540, 519, 7777, 568, 2356, 1336, 8151, 689, 476, 276, 269, 276, 10101, 829, 12945, 17744, 547, 476, 277, 269, 271, 10101, 829, 12945, 17744, 563, 14737, 1968, 6276, 31354, 568, 1634, 547, 16358, 1125, 538, 519, 1395, 665, 4802, 545, 1062, 267, 799, 666, 581, 2938, 5693, 950, 19494, 568, 11117, 609, 519, 5351, 540, 8701, 1242, 1769, 17209, 585, 2520, 5505, 269, 634, 1395, 665, 4802, 545, 1062, 540, 12627, 5250, 13408, 14848, 2348, 1614, 17887, 540, 21376, 13080, 269, 5565, 540, 799, 616, 2356, 1336, 538, 513, 2990, 602, 568, 21933, 1664, 610, 711, 13902, 547, 835, 1776, 269, 1717, 267, 1312, 540, 799, 616, 4122, 1336, 13902, 547, 519, 3791, 7852, 269, 4107, 14848, 540, 7777, 6276, 31354, 616, 1336, 32630, 538, 5920, 269, 634, 12627, 4356, 540, 7777, 6276, 31354, 2356, 1331, 10053, 610, 23661, 21688, 1540, 13999, 540, 1035, 7781, 14848, 602, 616, 2356, 26672, 573, 569, 17820, 896, 8701, 1944, 9145, 8554, 269, 898, 666, 581, 849, 1336, 2348, 32248, 13999, 602, 616, 2356, 4277, 950, 9763, 896, 17027, 8701, 1944, 1769, 9145, 8554, 269, 6884, 267, 7777, 6276, 31354, 568, 849, 1336, 2348, 24293, 14848, 602, 2234, 5573, 689, 513, 4099, 1510, 6721, 24974, 3029, 543, 713, 568, 2356, 26672, 573, 569, 17820, 896, 8701, 1944, 17209, 563, 22832, 31354, 568, 513, 3810, 606, 529, 32430, 7777, 2249, 269, 769, 1249, 621, 568, 9244, 606, 529, 32430, 950, 9763, 896, 17027, 8701, 1944, 1769, 9145, 8554, 269, 898, 5526, 3124, 2299, 4158, 543, 25139, 950, 9763, 1063, 18084, 12137, 11169, 540, 4620, 5766, 1429, 545, 8701, 1944, 1769, 17209, 269, 1879, 9763, 538, 10630, 1769, 540, 8701, 1242, 1769, 17209, 267, 621, 2356, 5526, 12457, 3109, 538, 2681, 269, 898, 814, 849, 7298, 3982, 5418, 5255, 549, 1143, 950, 11117, 896, 8701, 1944, 1769, 9145, 8554, 269, 25115, 6276, 31354, 568, 4122, 2404, 609, 824, 4277, 6886, 1519, 19070, 4878, 1679, 267, 7510, 1679, 267, 838, 15595, 518, 924, 267, 588, 30519, 924, 543, 7523, 6511, 269, 6276, 31354, 14848, 616, 711, 8465, 543, 789, 616, 2356, 1336, 28221, 269, 1703, 568, 1100, 1808, 1239, 1336, 593, 519, 17219, 543, 646, 987, 12178, 585, 7777, 6276, 31354, 269, 1717, 267, 519, 19494, 540, 713, 7777, 2249, 1058, 581, 5701, 609, 1390, 1416, 543, 946, 540, 24534, 13390, 1081, 568, 15695, 2390, 7829, 873, 269, 25115, 6276, 31354, 568, 513, 1875, 268, 2784, 1470, 5562, 7777, 563, 22832, 31354, 568, 2965, 513, 3735, 3942, 8652, 31516, 7777, 4646, 693, 9793, 547, 1970, 2837, 269, 634, 1655, 2361, 10832, 540, 7777, 6276, 31354, 2356, 1331, 561, 13831, 267, 12627, 4356, 267, 2681, 267, 12766, 339, 30276, 267, 543, 12205, 269, 25115, 6276, 31354, 16113, 4386, 693, 1896, 2199, 885, 1519, 12397, 13665, 538, 4789, 267, 930, 2127, 538, 519, 2136, 2276, 899, 3162, 21241, 543, 23916, 267, 27597, 267, 6792, 543, 2098, 659, 622, 322, 553, 269, 0, 4407, 621, 779, 2009, 547, 3548, 1072, 2685, 1510, 4189, 5388, 267, 519, 5567, 1336, 538, 5388, 1683, 1898, 2679, 7161, 585, 707, 1560, 779, 1072, 267, 1818, 5388, 513, 4105, 851, 540, 1022, 5963, 14312, 2732, 563, 3528, 4758, 707, 1126, 513, 2635, 7059, 2732, 267, 596, 616, 4180, 602, 789, 616, 3478, 782, 519, 1898, 8324, 267, 6886, 543, 824, 5567, 602, 1453, 991, 585, 2635, 2208, 543, 1646, 269, 15742, 5567, 616, 2838, 585, 513, 3099, 540, 4128, 563, 288, 26658, 1426, 10196, 779, 31774, 1223, 7866, 513, 8273, 1966, 538, 6484, 269, 1764, 540, 2732, 267, 971, 607, 3635, 267, 8739, 324, 1723, 563, 28848, 513, 7059, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14444, 271, 543, 476, 14991, 272, 563, 1103, 476, 14028, 279, 646, 10272, 519, 4044, 1049, 1153, 538, 1530, 6807, 1141, 646, 3838, 1010, 1702, 540, 519, 11848, 538, 5385, 585, 4030, 883, 519, 2866, 540, 5053, 21804, 269, 1261, 849, 4547, 1394, 547, 4789, 513, 5299, 540, 6742, 27713, 23634, 15530, 632, 19186, 659, 541, 781, 6601, 557, 3281, 754, 1470, 267, 513, 25156, 593, 12445, 269, 16907, 965, 1185, 519, 1433, 12261, 676, 9400, 3798, 523, 543, 3370, 607, 519, 3203, 540, 32522, 538, 476, 14444, 272, 269, 1306, 971, 621, 2968, 519, 1101, 2296, 8261, 540, 12445, 543, 729, 4922, 1031, 585, 1082, 1296, 563, 1103, 476, 14444, 274, 646, 729, 12912, 8783, 12681, 543, 835, 540, 519, 2185, 18544, 540, 519, 10424, 9635, 593, 519, 2405, 3118, 538, 13573, 269, 769, 476, 14991, 275, 646, 24705, 1042, 609, 9410, 674, 13681, 8718, 543, 7812, 700, 758, 827, 741, 1163, 687, 538, 3406, 540, 513, 5087, 29891, 8574, 547, 6869, 599, 563, 1607, 2376, 16621, 1257, 689, 513, 8313, 1631, 538, 519, 1857, 6389, 281, 3213, 1774, 267, 8176, 8361, 630, 6642, 277, 1040, 1547, 769, 15537, 267, 15776, 12340, 269, 9218, 540, 2817, 22335, 269, 476, 276, 269, 5507, 281, 8055, 267, 26744, 1299, 3213, 269, 901, 2376, 16621, 1257, 689, 513, 8313, 1631, 538, 519, 1857, 6389, 281, 932, 880, 565, 332, 267, 670, 7676, 267, 1196, 269, 630, 4489, 272, 1040, 1547, 2037, 9871, 19508, 29953, 27429, 269, 476, 275, 630, 1556, 628, 1196, 12175, 11062, 2160, 4964, 269, 0, 8448, 982, 713, 267, 519, 11708, 538, 519, 1433, 786, 2731, 948, 543, 1489, 1250, 3409, 269, 1717, 267, 1256, 1498, 15229, 723, 513, 1279, 1272, 12732, 267, 2472, 16922, 540, 15229, 949, 723, 513, 10156, 1272, 12732, 267, 585, 1383, 267, 519, 5068, 3167, 11337, 1479, 269, 634, 16789, 610, 16283, 12871, 540, 971, 22837, 5012, 547, 14432, 2175, 269, 8262, 4872, 2066, 519, 1158, 616, 7680, 20427, 4057, 2011, 2298, 269, 1635, 2348, 513, 6378, 2497, 513, 2619, 568, 3254, 547, 519, 3988, 547, 1246, 269, 28982, 3610, 267, 5234, 267, 543, 1053, 563, 1607, 1966, 22613, 782, 3486, 1630, 19470, 543, 18953, 540, 782, 519, 1158, 1004, 269, 24511, 972, 616, 1896, 2188, 602, 616, 2808, 547, 3313, 519, 12451, 540, 10655, 519, 22837, 269, 11374, 519, 13685, 267, 519, 18322, 1185, 5293, 6481, 17904, 9477, 2920, 540, 476, 2735, 279, 269, 9483, 12186, 2443, 589, 12550, 11296, 1198, 593, 16450, 267, 7694, 267, 610, 26038, 3812, 676, 513, 3375, 267, 2680, 267, 610, 3609, 269, 17461, 540, 519, 9046, 589, 269, 19227, 267, 519, 1966, 786, 581, 3395, 811, 543, 811, 3978, 547, 519, 6708, 602, 621, 949, 1256, 1291, 547, 606, 2825, 31685, 952, 519, 1697, 12871, 540, 4396, 3653, 568, 16053, 269, 12275, 12237, 4793, 2583, 616, 811, 899, 5068, 17339, 543, 607, 971, 616, 2484, 811, 2352, 547, 2697, 543, 1256, 811, 2352, 547, 2973, 909, 563, 12606, 3758, 547, 1294, 3105, 3817, 634, 3653, 5786, 2994, 538, 1250, 4948, 1272, 1331, 8876, 1250, 9126, 547, 8637, 267, 1210, 1201, 650, 11149, 607, 10353, 547, 11449, 1007, 3283, 543, 9319, 6765, 540, 22938, 544, 5661, 269, 634, 8360, 2356, 12211, 547, 782, 2010, 540, 3653, 267, 2436, 3812, 1282, 519, 15639, 540, 6151, 2326, 267, 519, 7006, 18730, 540, 6151, 2326, 883, 3803, 5370, 267, 4616, 540, 3803, 1434, 267, 610, 824, 1480, 2238, 971, 607, 23195, 12250, 267, 10821, 543, 5010, 2073, 8105, 543, 1514, 7622, 13818, 3653, 267, 1072, 1416, 543, 21137, 31993, 267, 3092, 269, 3245, 891, 2055, 649, 616, 2111, 547, 4628, 1174, 519, 1292, 1888, 540, 713, 1957, 269, 634, 7923, 5619, 786, 3761, 5078, 2055, 547, 2333, 4656, 585, 519, 991, 585, 3653, 5786, 538, 519, 8228, 2872, 607, 1134, 269, 3345, 1977, 5948, 585, 7025, 4065, 267, 476, 1960, 275, 269, 1452, 5238, 4308, 609, 519, 10229, 543, 6721, 540, 1919, 543, 1265, 1100, 942, 538, 8741, 532, 741, 17885, 563, 29910, 9060, 7772, 538, 23987, 269, 4985, 19080, 3948, 281, 634, 2199, 8128, 1058, 1491, 17386, 3800, 602, 6175, 1966, 519, 3653, 269, 1548, 952, 835, 1966, 729, 1776, 2042, 3070, 286, 2060, 513, 1164, 1646, 2557, 519, 13372, 1131, 581, 19788, 811, 543, 811, 9520, 547, 2097, 799, 1131, 581, 513, 3094, 2914, 514, 3510, 585, 519, 13372, 543, 519, 9520, 269, 4107, 540, 713, 16445, 12599, 547, 12084, 543, 1439, 13377, 7286, 1272, 543, 741, 9249, 269, 9533, 7909, 267, 4279, 7414, 12275, 12237, 623, 2255, 267, 3345, 7414, 21859, 516, 476, 10482, 275, 9293, 476, 275, 9664, 12275, 12237, 666, 2203, 12815, 2055, 476, 272, 267, 1018, 568, 621, 827, 3906, 602, 723, 5921, 602, 649, 723, 8694, 909, 609, 513, 20203, 666, 3069, 540, 3375, 1818, 286, 1717, 267, 2899, 621, 568, 1863, 540, 621, 781, 2270, 618, 267, 621, 568, 513, 16160, 543, 14686, 3196, 269, 14755, 602, 267, 891, 7270, 1683, 1344, 593, 1018, 519, 1004, 1058, 798, 547, 948, 543, 581, 3222, 540, 519, 1966, 563, 1607, 10416, 1797, 602, 649, 723, 606, 28093, 4240, 10279, 547, 721, 519, 26069, 2934, 602, 649, 1058, 1246, 899, 649, 11371, 1231, 1227, 917, 938, 10279, 540, 1018, 568, 1318, 610, 4636, 3257, 269, 26085, 267, 12539, 8166, 267, 667, 4078, 23667, 476, 10219, 272, 9293, 476, 275, 9664, 883, 1434, 946, 2414, 2744, 1702, 593, 875, 24600, 23352, 5214, 3653, 2414, 2015, 875, 24600, 666, 5352, 4747, 998, 533, 1790, 2255, 3785, 267, 2094, 1418, 1227, 6738, 1426, 568, 538, 1164, 3747, 2414, 5000, 5213, 725, 540, 17580, 1426, 267, 607, 713, 666, 2569, 3653, 267, 11574, 2916, 5222, 543, 1683, 1942, 9806, 585, 2043, 543, 4213, 7567, 16930, 20828, 281, 590, 2056, 17580, 1426, 610, 1426, 16150, 547, 26071, 568, 711, 2635, 610, 22237, 269, 21954, 22869, 3653, 267, 5549, 514, 3130, 267, 8092, 15640, 476, 5038, 273, 9293, 476, 274, 9664, 519, 2197, 786, 1291, 547, 3384, 1993, 8790, 996, 10698, 3157, 585, 519, 946, 540, 26828, 824, 982, 12418, 546, 2426, 269, 667, 4078, 23667, 568, 3361, 676, 14299, 4771, 4054, 1524, 267, 538, 1931, 547, 3132, 1957, 267, 11308, 5370, 267, 547, 4228, 8513, 585, 2679, 8075, 543, 9897, 269, 5221, 1957, 568, 865, 3362, 1336, 543, 4922, 1031, 267, 1082, 1004, 946, 621, 1510, 3206, 827, 1141, 621, 2501, 689, 610, 1141, 621, 4422, 1310, 789, 723, 8737, 1210, 621, 269, 4658, 22120, 3388, 689, 1957, 547, 2780, 8800, 269, 769, 519, 1920, 267, 2486, 645, 563, 4322, 6436, 2887, 896, 1079, 15180, 13122, 267, 519, 12666, 543, 519, 9097, 6436, 540, 22030, 901, 1557, 568, 606, 3801, 547, 2491, 519, 1909, 543, 1523, 540, 22030, 2687, 547, 519, 7101, 673, 1153, 540, 2219, 269, 634, 2527, 2504, 540, 519, 4853, 2085, 568, 267, 538, 1082, 2081, 267, 519, 1360, 2601, 649, 991, 547, 5855, 827, 1804, 8397, 9657, 269, 3414, 713, 2376, 519, 11001, 786, 581, 2111, 547, 2769, 519, 12178, 540, 20203, 950, 15860, 269, 634, 4879, 786, 1331, 4879, 952, 1883, 2164, 540, 519, 17298, 3292, 267, 2238, 543, 741, 5615, 616, 538, 19283, 766, 547, 1305, 9746, 2418, 543, 4397, 6364, 1369, 519, 2063, 2947, 1296, 269, 5457, 5663, 6080, 1711, 513, 2603, 540, 5533, 267, 865, 952, 649, 666, 556, 14025, 1919, 899, 10918, 5068, 11435, 267, 7802, 267, 1957, 543, 14569, 267, 621, 666, 948, 269, 13574, 1995, 610, 519, 1995, 540, 1866, 949, 581, 513, 2707, 540, 1966, 3761, 269, 3414, 3653, 2359, 621, 568, 2009, 547, 2569, 519, 25087, 3653, 543, 563, 294, 541, 12237, 814, 547, 979, 12341, 855, 18864, 6499, 621, 538, 741, 18147, 269, 1358, 1175, 1118, 1022, 1858, 513, 15118, 5652, 731, 269, 27824, 569, 1281, 519, 1764, 540, 1167, 8973, 891, 3688, 2049, 547, 1082, 1004, 538, 519, 1158, 269, 4165, 760, 23383, 623, 778, 23383, 8841, 4469, 2803, 7305, 540, 12937, 594, 269, 4595, 972, 616, 1100, 6191, 602, 666, 3362, 6023, 9657, 519, 942, 543, 2724, 6170, 9657, 568, 2362, 982, 2965, 8741, 532, 540, 3653, 269, 1284, 2141, 4096, 593, 8613, 585, 3377, 267, 9913, 267, 2069, 267, 4365, 267, 5026, 267, 543, 1256, 2575, 267, 2094, 519, 4417, 540, 8535, 27657, 563, 7212, 5302, 27935, 2326, 616, 711, 1134, 1634, 1317, 540, 14704, 12478, 891, 2326, 2709, 606, 4244, 547, 7199, 2326, 269, 1879, 782, 540, 519, 5907, 6757, 6464, 1039, 909, 538, 25985, 540, 3653, 267, 519, 3463, 547, 519, 1604, 568, 1360, 5739, 269, 3962, 3942, 540, 519, 1272, 4783, 12958, 922, 1378, 3653, 269, 898, 568, 513, 4640, 602, 11151, 16789, 12871, 540, 3653, 267, 799, 6799, 1761, 6937, 547, 519, 1604, 610, 519, 10450, 4858, 2426, 691, 543, 5062, 10673, 965, 476, 5325, 269, 1230, 9690, 4702, 568, 5497, 547, 9004, 519, 2042, 602, 1419, 2049, 538, 2872, 950, 9858, 616, 23387, 540, 519, 2115, 540, 5663, 269, 6554, 1058, 1902, 538, 543, 2073, 607, 1134, 607, 824, 2073, 547, 7413, 8781, 540, 8093, 10173, 267, 799, 2014, 5230, 2011, 5533, 563, 2171, 798, 938, 1655, 547, 1683, 596, 609, 1164, 2298, 1603, 948, 269, 1703, 616, 1114, 2010, 540, 17904, 30047, 4358, 1394, 538, 519, 269, 1452, 616, 3810, 7791, 543, 11593, 2139, 2959, 540, 6151, 2326, 7429, 19386, 2861, 15229, 269, 27822, 543, 519, 5113, 15718, 13860, 717, 8316, 9469, 14803, 657, 344, 2160, 24611, 7905, 15039, 4728, 476, 866, 267, 476, 1001, 276, 1703, 568, 513, 1297, 540, 3688, 1004, 946, 538, 741, 3232, 2729, 602, 1223, 581, 1031, 1586, 269, 589, 1713, 7934, 6818, 538, 519, 1620, 540, 519, 1426, 3653, 6286, 538, 519, 4346, 540, 519, 3384, 2477, 269, 21436, 267, 21436, 3028, 267, 25477, 476, 16825, 275, 9293, 476, 275, 9664, 27925, 7698, 6307, 700, 269, 667, 23098, 1767, 602, 513, 1279, 942, 3516, 950, 646, 729, 513, 2370, 7911, 519, 6607, 1031, 547, 581, 865, 4544, 543, 4190, 602, 596, 1131, 979, 9420, 952, 596, 588, 1563, 693, 621, 585, 1932, 1279, 256, 634, 1344, 646, 814, 10356, 814, 1044, 2944, 676, 824, 1004, 543, 814, 1044, 8810, 547, 581, 2953, 563, 19284, 824, 2831, 267, 3425, 1711, 1932, 1454, 3653, 585, 2470, 547, 1832, 909, 269, 10871, 6608, 2308, 3875, 2081, 547, 4894, 513, 3395, 2179, 540, 20203, 269, 21733, 3931, 713, 3063, 2230, 1131, 1942, 2724, 607, 621, 1131, 991, 547, 723, 8022, 543, 8654, 267, 2495, 811, 1648, 6170, 538, 2504, 602, 1223, 723, 1044, 14284, 269, 17904, 729, 2813, 676, 3425, 585, 2110, 3856, 13418, 543, 2110, 3856, 7443, 269, 853, 4752, 1564, 7150, 972, 616, 827, 476, 10384, 28752, 829, 2680, 543, 540, 602, 476, 3199, 260, 4547, 13818, 2326, 269, 769, 1249, 267, 1813, 4015, 540, 3653, 543, 12871, 568, 519, 1883, 547, 1118, 519, 2518, 27194, 543, 6940, 15961, 3811, 269, 1635, 7311, 891, 2409, 649, 798, 2972, 1082, 2825, 2640, 269, 0, 268, 634, 2012, 14420, 568, 2016, 547, 1875, 1673, 626, 2683, 23931, 16098, 616, 1500, 689, 13148, 10351, 3990, 23611, 9274, 267, 1634, 607, 28915, 563, 268, 1358, 1331, 620, 525, 267, 561, 6162, 543, 588, 8083, 267, 799, 7363, 2270, 476, 274, 1700, 279, 260, 630, 341, 23218, 264, 19844, 563, 268, 634, 824, 1292, 5820, 616, 554, 3591, 630, 15130, 14420, 513, 8984, 24710, 543, 30993, 1070, 13803, 543, 1216, 563, 763, 28823, 1184, 568, 5631, 5258, 883, 2185, 1292, 5933, 281, 8894, 268, 631, 4770, 543, 530, 677, 7041, 454, 268, 14717, 770, 18829, 454, 268, 5689, 1154, 568, 519, 9864, 23286, 540, 23611, 10286, 585, 3670, 1700, 333, 710, 2395, 547, 1118, 513, 28915, 563, 268, 901, 568, 519, 1101, 14420, 12146, 543, 3568, 5631, 20566, 267, 930, 3940, 543, 29230, 6776, 11476, 563, 268, 5689, 1540, 24061, 568, 15866, 1031, 267, 2705, 581, 619, 616, 849, 1500, 609, 4731, 1540, 10568, 267, 12212, 4731, 1540, 28113, 543, 1256, 4731, 1540, 22408, 32758, 563, 300, 4770, 543, 530, 677, 7041, 912, 268, 631, 4770, 543, 530, 677, 7041, 2882, 519, 2504, 540, 519, 25694, 18829, 5420, 267, 6382, 454, 21406, 607, 530, 677, 563, 268, 898, 3568, 7542, 618, 762, 11254, 7408, 267, 14836, 543, 824, 5567, 267, 543, 568, 5423, 676, 1151, 889, 559, 1944, 28915, 3334, 998, 519, 2962, 540, 1439, 18100, 29230, 6776, 11476, 563, 268, 769, 1034, 2477, 267, 513, 8167, 540, 7755, 9417, 338, 616, 1631, 849, 3773, 267, 799 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6230, 659, 668, 565, 269, 277, 321, 25320, 6021, 454, 312, 518, 2088, 267, 715, 269, 543, 631, 6782, 990, 267, 590, 1421, 476, 1220, 274, 269, 26994, 10414, 5843, 2675, 4878, 538, 5811, 540, 11676, 828, 10049, 269, 11676, 828, 11061, 543, 5303, 267, 476, 10602, 263, 275, 1070, 6032, 269, 279, 5379, 268, 5952, 280, 269, 4179, 2517, 1067, 22941, 269, 718, 523, 12304, 2593, 29265, 551, 270, 14835, 268, 629, 5724, 270, 10602, 270, 275, 270, 279, 5379, 270, 280, 1789, 5038, 270, 4263, 5669, 268, 2690, 576, 5336, 2222, 2675, 4878, 2987, 268, 26046, 6361, 7304, 889, 828, 286, 1042, 20526, 5804, 284, 14457, 0, 296, 588, 18443, 2250, 1279, 6371, 267, 627, 6235, 19498, 2476, 689, 1250, 7953, 267, 607, 594, 4283, 513, 21757, 269, 968, 763, 13650, 723, 1044, 4189, 782, 519, 1762, 4054, 1934, 267, 865, 789, 10093, 1406, 7307, 547, 1332, 2223, 1250, 3391, 6645, 803, 267, 9694, 1005, 547, 519, 21906, 25053, 538, 4395, 540, 721, 269, 1284, 4163, 593, 6972, 543, 519, 4054, 10393, 1831, 26339, 543, 16437, 518, 563, 17606, 5654, 899, 789, 1810, 1406, 1178, 2763, 1934, 607, 1454, 2223, 646, 3081, 269, 968, 23536, 2406, 1317, 972, 779, 4666, 3574, 593, 519, 2666, 269, 898, 2306, 621, 9875, 585, 873, 547, 1205, 2476, 952, 972, 616, 20384, 538, 519, 1858, 3034, 2108, 3674, 602, 513, 1434, 3364, 9495, 594, 2307, 563, 17606, 779, 9444, 1434, 6862, 3983, 2223, 646, 30491, 269, 968, 2005, 779, 1175, 1018, 2470, 30242, 3034, 7069, 3391, 568, 853, 1030, 534, 5576, 15884, 267, 835, 540, 5125, 779, 3056, 28288, 540, 17370, 843, 532, 269, 901, 1505, 540, 5726, 6663, 547, 1577, 1804, 2127, 540, 2244, 2132, 547, 19069, 1107, 538, 824, 1913, 267, 513, 1533, 540, 4642, 1480, 6304, 269, 901, 949, 2154, 513, 3787, 540, 12879, 547, 2253, 609, 267, 855, 519, 2832, 568, 547, 5555, 1900, 1394, 543, 1577, 2470, 798, 1018, 621, 6499, 269, 5576, 15884, 4867, 1568, 607, 4604, 8689, 540, 25166, 843, 532, 744, 1457, 18647, 267, 513, 17370, 843, 532, 1788, 8547, 538, 476, 1001, 276, 676, 1896, 2825, 27013, 602, 6227, 476, 7742, 267, 1822, 25614, 630, 280, 4792, 13483, 5195, 264, 693, 519, 7187, 2865, 851, 540, 519, 4436, 6261, 565, 880, 8473, 269, 594, 4076, 8678, 1864, 585, 513, 3802, 998, 519, 4436, 2427, 267, 538, 519, 1533, 540, 2725, 1188, 6352, 7921, 13305, 23705, 558, 1067, 333, 563, 2005, 779, 1152, 513, 2339, 540, 942, 1354, 811, 536, 2581, 2097, 269, 1656, 865, 267, 649, 991, 547, 5965, 519, 2199, 1004, 1107, 853, 1030, 534, 5576, 15884, 454, 2414, 1665, 519, 1439, 540, 513, 24360, 1032, 267, 649, 616, 8744, 1394, 930, 540, 938, 19463, 2984, 585, 18917, 8892, 779, 968, 16032, 540, 476, 1708, 271, 892, 4015, 269, 13028, 811, 540, 938, 26717, 1934, 563, 10527, 3804, 568, 547, 3142, 476, 273, 260, 540, 519, 2627, 1858, 540, 5125, 547, 19069, 1533, 2223, 5576, 15884, 6645, 803, 269, 1717, 267, 538, 29822, 20651, 7262, 2342, 267, 621, 779, 2352, 547, 1265, 5078, 2230, 1107, 1152, 476, 271, 269, 277, 260, 540, 5125, 1223, 581, 1362, 539, 607, 19069, 865, 2484, 269, 634, 1858, 649, 2461, 6972, 998, 568, 513, 4686, 1265, 1107, 621, 729, 2899, 1031, 585, 6683, 267, 855, 513, 10085, 651, 13264, 538, 476, 1960, 276, 267, 14700, 519, 4610, 543, 1818, 873, 24631, 585, 6705, 563, 3383, 2484, 2221, 594, 4076, 2938, 513, 30162, 540, 3552, 25154, 267, 2789, 2010, 540, 18173, 267, 581, 11232, 16437, 543, 1256, 1896, 3043, 26904, 32608, 267, 799, 2470, 27423, 5576, 15884, 4274, 569, 9634, 593, 519, 16880, 269, 1809, 5576, 15884, 814, 267, 3833, 12777, 267, 1256, 8273, 9909, 585, 519, 2249, 646, 1131, 899, 547, 1294, 538, 519, 1858, 269, 968, 8512, 540, 1250, 5075, 568, 547, 1577, 1804, 11864, 2097, 1394, 2223, 646, 3081, 563, 2791, 1522, 849, 899, 912, 268, 634, 1544, 547, 14649, 4837, 538, 519, 11848, 454, 268, 634, 12050, 1544, 547, 4688, 3162, 4000, 779, 682, 641, 1841, 454, 268, 634, 5032, 16397, 609, 17333, 1562, 454, 9617, 519, 824, 2427, 540, 519, 8473, 972, 616, 476, 1724, 1863, 2000, 1516, 536, 2581, 31459, 543, 513, 1297, 540, 1714, 330, 269, 769, 476, 1001, 278, 267, 835, 3552, 5256, 536, 2581, 18084, 883, 5125, 543, 729, 5612, 8929, 4666, 676, 3443, 17673, 8128, 269, 8479, 1714, 330, 849, 5781, 32603, 883, 5125, 267, 543, 616, 4358, 547, 798, 865, 811, 5781, 269, 968, 2005, 779, 1152, 513, 2339, 540, 942, 1354, 811, 2097, 2223, 3081, 5576, 15884, 269, 968, 4517, 865, 267, 649, 991, 547, 5965, 519, 2199, 1004, 3034, 2304, 5117, 602, 814, 1082, 1114, 2249, 543, 1949, 538, 1747, 666, 25483, 1394, 811, 3362, 689, 1022, 18063, 1107, 1656, 16699, 3131, 3626, 454, 763, 1249, 602, 891, 2831, 616, 4867, 2713, 11884, 538, 7262, 12996, 568, 1945, 540, 513, 1745, 3766, 797, 1650, 269, 645, 2581, 1031, 547, 887, 600, 2066, 1034, 540, 2342, 267, 855, 941, 32170, 14916, 676, 3425, 1107, 519, 2063, 3552, 536, 2581, 729, 8929, 4666, 538, 476, 4489, 280, 269, 1717, 267, 513, 1507, 2551, 7283, 538, 24811, 543, 538, 476, 4198, 275, 930, 941, 5950, 883, 9456, 12996, 269, 4595, 1287, 267, 789, 723, 1044, 32543, 22004, 547, 1896, 824, 2477, 267, 1519, 519, 13814, 267, 16848, 543, 835, 851, 540, 7262, 5125, 269, 589, 1507, 1297, 540, 1714, 330, 723, 2141, 5030, 12996, 267, 1141, 513, 7333, 593, 10122, 1797, 789, 723, 2799, 538, 2338, 1932, 269, 22118, 343, 723, 849, 5063, 1044, 32543, 22004, 547, 519, 14470, 2427, 267, 543, 723, 1044, 27424, 2673, 547, 519, 8473, 563, 17556, 325, 534, 5576, 15884, 1131, 899, 547, 1294, 519, 8167, 540, 19069, 538, 5125, 2333, 689, 922, 1699, 476, 271, 269, 277, 260, 547, 476, 273, 260, 630, 290, 13072, 281, 25014, 3821, 645, 622, 2006, 994, 7212, 972, 568, 1945, 3592, 4023, 12682, 1446, 6438, 827, 519, 2856, 540, 2220, 520, 1127, 540, 2244, 7432, 3552, 543, 1373, 936, 14725, 676, 23836, 581, 6814, 267, 621, 779, 711, 1175, 827, 11509, 19911, 28101, 269, 25166, 843, 532, 779, 28288, 3494, 621, 666, 948, 2149, 938, 8134, 689, 2916, 1689, 563, 28490, 2944, 1318, 267, 1496, 4319, 843, 532, 316, 666, 2333, 1018, 649, 1289, 519, 8733, 4187, 540, 606, 5117, 2223, 3081, 1656, 16699, 3131, 3626, 267, 513, 2257, 3609, 4717, 13541, 693, 519, 4436, 10418, 585, 6715, 13577, 26085, 3194, 945, 2090, 519, 7145, 540, 17370, 843, 532, 269, 968, 2304, 5117, 602, 814, 1082, 1114, 2249, 543, 1949, 538, 1747, 666, 25483, 1394, 811, 3362, 689, 1022, 18063, 1848, 1280, 1383, 267, 952, 972, 616, 1896, 2249, 538, 606, 1858, 16180, 519, 1482, 4305, 267, 519, 5117, 814, 513, 1732, 4960, 540, 711, 2458, 2355, 532, 952, 835, 540, 873, 568, 7166, 1055, 676, 8375, 5210, 563, 4517, 2687, 547, 3131, 3626, 267, 4352, 1804, 11864, 616, 711, 519, 1034, 1271, 2460, 540, 17370, 843, 532, 267, 789, 798, 948, 2333, 9265, 269, 14066, 23097, 2803, 971, 607, 20384, 610, 561, 2106, 343, 7369, 741, 10352, 779, 7180, 267, 1818, 873, 811, 8013, 269, 1656, 1804, 24549, 2803, 267, 971, 607, 536, 2581, 267, 2226, 1930, 31922, 2230, 676, 21737, 593, 1762, 4054, 269, 901, 568, 3226, 1271, 538, 3844, 543, 7262, 2342, 267, 607, 1454, 540, 519, 2244, 814, 1044, 3484, 539, 585, 5553, 269, 1879, 3425, 11198, 689, 606, 1858, 267, 4054, 4043, 547, 16765, 820, 1107, 3983, 3377, 585, 519, 1082, 2249, 602, 4782, 2361, 2175, 269, 1809, 952, 1804, 24549, 2803, 616, 1472, 267, 513, 15429, 1740, 540, 4104, 543, 1930, 2230, 666, 581, 6923, 9738, 269, 901, 3099, 540, 9249, 2164, 538, 1732, 9265, 543, 267, 538, 2490, 267, 3152, 2949, 6043, 563, 2467, 616, 1082, 1806, 540, 1141, 513, 2249, 814, 1044, 32543, 22004, 543, 789, 723, 3361, 6266, 540, 6397, 2042, 1107, 1656, 16699, 3131, 3626, 454, 2304, 7769, 666, 581, 8362, 32543, 22004, 689, 24811, 883, 519, 3552, 267, 607, 814, 2907, 5949, 11992, 538, 2342, 267, 610, 4847, 547, 2097, 1394, 6923, 1107, 513, 2259, 1634, 607, 968, 10139, 633, 892, 17370, 843, 532, 269, 3131, 3626, 568, 513, 10178, 540, 519, 8545, 269, 968, 31094, 958, 267, 594, 1589, 621, 779, 1447, 19408, 2223, 1352, 3081, 269, 968, 2467, 616, 1082, 1806, 540, 1141, 513, 2249, 814, 1044, 32543, 22004, 543, 789, 723, 3361, 6266, 540, 6397, 2042, 1848, 2701, 3947, 519, 1383, 540, 5245, 267, 1141, 519, 4367, 540, 1875, 28921, 2249, 971, 607, 17544, 543, 2699, 29372, 814, 3366, 547, 5095, 3395, 856, 540, 1852, 543, 4929, 3441, 547, 1312, 6683, 543, 5065, 2249, 563, 763, 1714, 330, 568, 835, 540, 519, 4102, 24549, 2803, 538, 2342, 267, 16310, 519, 536, 2581, 267, 855, 621, 568, 1634, 547, 2014, 3441, 547, 7031, 630, 290, 13072, 281, 5192, 1399, 16103, 994, 19913, 15884, 543, 1010, 2319, 616, 7446, 547, 1491, 519, 12809, 1935, 593, 519, 4436, 8473, 267, 15603, 519, 2831, 32603, 2066, 2933, 2864, 982, 8362, 8716, 873, 269, 968, 2171, 917, 689, 824, 2127, 602, 3742, 32543, 3174, 3123, 513, 2603, 540, 2042, 2223, 646, 6645, 803, 563, 7021, 538, 519, 1533, 540, 3345, 10910, 710, 8862, 652, 13921, 807, 267, 513, 23636, 540, 536, 2581, 941, 8362, 32543, 22004, 538, 476, 1001, 274, 267, 593, 2244, 10362, 547, 513, 2199, 18211, 4531, 520, 269, 1717, 267, 713, 23636, 568, 8572, 547, 7639, 1510, 948, 689, 3425, 269, 968, 763, 3390, 568, 602, 519, 2551, 3884, 1406, 5532, 547, 824, 2127, 2223, 3081, 519, 1788, 779, 3621, 4717, 13541, 267, 918, 24652, 1261, 2358, 269, 1703, 568, 1100, 1259, 585, 13032, 338, 547, 11884, 3914, 8951, 689, 824, 31459, 267, 7064, 547, 519, 9883, 267, 9897, 543, 4872, 538, 1063, 269, 1924, 547, 2061, 538, 3691, 5338, 267, 789, 1131, 991, 547, 581, 16487, 11992, 563, 10527, 2063, 4781, 568, 547, 1491, 873, 856, 29723, 958, 2223, 1261, 2358, 5170, 269, 968, 4517, 713, 568, 1018, 649, 941, 7142, 547, 798, 267, 607, 649, 7948, 1406, 1265, 1776, 1858, 547, 3560, 873, 547, 3034, 298, 2643, 773, 18514, 22138, 267, 513, 1382, 13930, 693, 1325, 5586, 1156, 344, 5441, 945, 814, 6594, 519, 23812, 540, 2244, 538, 3844, 543, 9456, 2342, 585, 5885, 536, 2581, 31459, 267, 6941, 602, 538, 3691, 5338, 666, 581, 21472, 585, 519, 2831, 269, 968, 2005, 666, 1291, 547, 4719, 2042, 267, 971, 607, 26983, 267, 543, 1118, 873, 811, 11630, 547, 2068, 2223, 1352, 6941, 269, 2311, 519, 4090, 267, 1352, 3081, 3844, 543, 7262, 2342, 538, 2489, 3668, 519, 5458, 5624, 2877, 547, 1489, 1863, 2000, 1516, 31459, 269, 1717, 267, 968, 11004, 616, 14540, 602, 1711, 2048, 4725, 18945, 23725, 832, 685, 865, 602, 2831, 666, 3914, 1114, 267, 6870, 2127, 9731, 2108, 3383, 267, 621, 1522, 711, 581, 602, 606, 1858, 779, 5667, 340, 3386, 267, 855, 602, 621, 2115, 811, 960, 543, 5092, 2223, 1352, 3081, 563, 2026, 1134, 607, 9319, 713, 9183, 267, 5576, 15884, 11099, 12809, 17370, 843, 532, 786, 3970, 804, 10449, 609, 2199, 1004, 269, 968, 3080, 540, 519, 1292, 2055, 568, 267, 945, 798, 519, 2831, 4866, 547, 286, 1403, 789, 2014, 3441, 267, 1287, 945, 17188, 9495, 646, 3081, 269, 968, 1607, 3085, 1406, 2291, 952, 789, 2097, 1394, 2933, 3034, 4517, 5576, 15884, 568, 1318, 547, 5855, 827, 713, 1107, 865, 2484, 267, 519, 2132, 540, 824, 1804, 11864, 814, 9863, 513, 20833, 8954, 633, 3390, 538, 5125, 269, 1306, 1134, 607, 519, 32543, 22004, 536, 2581, 267, 5125, 814, 2938, 5458, 4679, 538, 18896, 267, 581, 11232, 543, 15454, 13021, 5095, 936, 519, 2250, 1906, 5756, 607, 513, 1267, 540, 10122, 536, 753, 269, 5565, 18896, 335, 2931, 2661, 2673, 547, 519, 744, 1457, 18647, 1858, 267, 543, 649, 5544, 741, 5323, 25940, 693, 835, 1448, 1282, 938, 3802, 563, 763, 24790, 540, 18896, 5323, 25940, 1397, 519, 4527, 540, 891, 8954, 633, 2831, 538, 5125, 2282, 519, 14470, 8473, 630, 290, 13072, 281, 25014, 3821, 645, 622, 2006, 994, 4322, 2831, 2014, 2042, 585, 6705, 267, 945, 7985, 689, 13184, 543, 2361, 3441, 267, 543, 585, 29940, 4171, 24437, 666, 581, 10032, 676, 20910, 269, 17713, 31864, 974, 267, 513, 16027, 945, 2729, 538, 519, 8498, 540, 674, 1221 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16192, 25915, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 4463, 4311, 2187, 1038, 5727, 291, 2700, 547, 519, 27811, 6843, 27969, 454, 1038, 2132, 476, 272, 1341, 3193, 4311, 16000, 269, 19417, 267, 1582, 16192, 269, 19417, 2020, 825, 1219, 12055, 32470, 338, 4311, 267, 3178, 284, 271, 2187, 1038, 5727, 296, 614, 622, 936, 9136, 538, 513, 3178, 23867, 6073, 780, 1038, 6201, 454, 1038, 28612, 692, 1038, 21188, 3529, 815, 25032, 18692, 1038, 3267, 672, 7183, 2676, 1038, 3267, 672, 25032, 18692, 1038, 3267, 1363, 7183, 2676, 1038, 3267, 1363, 23516, 3799, 334, 284, 273, 13211, 1038, 3267, 1363, 23516, 3799, 334, 284, 274, 13211, 1038, 3267, 1363, 1100, 284, 272, 454, 1038, 3267, 672, 476, 13211, 1038, 3267, 672, 23516, 3799, 334, 284, 275, 13211, 1038, 3267, 672, 1100, 284, 271, 454, 1038, 3267, 25589, 1038, 21188, 585, 6843, 267, 3178, 538, 3529, 269, 3438, 32470, 338, 10031, 1038, 3267, 672, 1820, 6600, 262, 258, 346, 27161, 269, 7224, 9574, 3178, 2715, 323, 3704, 348, 5073, 1038, 1948, 271, 267, 3178, 476, 271, 454, 1038, 1948, 272, 267, 3178, 476, 272, 454, 1038, 1948, 273, 267, 3178, 476, 273, 454, 1038, 1948, 274, 267, 3178, 476, 273, 454, 1038, 1948, 275, 267, 3178, 476, 272, 692, 1038, 8173, 1038, 6556, 1582, 267, 3178, 454, 1038, 6556, 689, 1582, 16000, 269, 3438, 32470, 338, 5560, 3704, 284, 323, 3704, 1341, 476, 272, 994, 1038, 6556, 689, 1582, 16192, 269, 3438, 32470, 338, 5560, 3704, 284, 323, 3704, 1341, 476, 272, 2020, 825, 1219, 12055, 318, 548, 2314, 4311, 2187, 1038, 5727, 296, 614, 622, 936, 519, 3762, 538, 513, 3178, 23867, 6073, 780, 1038, 6201, 454, 1038, 28612, 692, 1038, 21188, 3529, 815, 25032, 18692, 1038, 3267, 672, 7183, 2676, 1038, 3267, 672, 25032, 18692, 1038, 3267, 1363, 7183, 2676, 1038, 3267, 1363, 23516, 3799, 334, 284, 273, 13211, 1038, 3267, 1363, 23516, 3799, 334, 284, 274, 13211, 1038, 3267, 1363, 1100, 284, 272, 454, 1038, 3267, 672, 476, 13211, 1038, 3267, 672, 23516, 3799, 334, 284, 275, 13211, 1038, 3267, 672, 1100, 284, 271, 454, 1038, 3267, 25589, 1038, 21188, 585, 6978, 538, 3529, 269, 3438, 318, 548, 2314, 10031, 1038, 3267, 672, 1820, 6600, 262, 258, 346, 29566, 269, 7224, 348, 5073, 1038, 1948, 273, 454, 1038, 1948, 274, 454, 1038, 1948, 275, 692, 1038, 8173, 1038, 6556, 689, 1582, 16000, 269, 3438, 318, 548, 2314, 4590, 1038, 6556, 689, 1582, 16192, 269, 3438, 318, 548, 2314, 10797, 825, 1219, 12055, 318, 1962, 534, 2583, 4311, 2187, 1038, 5727, 296, 614, 622, 936, 8371, 538, 513, 3178, 23867, 6073, 780, 1038, 6201, 454, 1038, 28612, 692, 1038, 21188, 3529, 815, 25032, 18692, 1038, 3267, 672, 7183, 2676, 1038, 3267, 672, 25032, 18692, 1038, 3267, 1363, 7183, 2676, 1038, 3267, 1363, 23516, 3799, 334, 284, 273, 13211, 1038, 3267, 1363, 23516, 3799, 334, 284, 274, 13211, 1038, 3267, 1363, 1100, 284, 272, 454, 1038, 3267, 672, 476, 13211, 1038, 3267, 672, 23516, 3799, 334, 284, 275, 13211, 1038, 3267, 672, 1100, 284, 271, 454, 1038, 3267, 25589, 1038, 21188, 585, 7936, 538, 3529, 269, 3438, 318, 1962, 534, 2583, 10031, 1038, 3267, 672, 1820, 6600, 262, 258, 346, 1962, 21123, 269, 7224, 348, 5073, 1038, 1948, 271, 454, 1038, 1948, 272, 692, 1038, 8173, 1038, 6556, 1582, 454, 1038, 6556, 689, 1582, 16000, 269, 3438, 318, 1962, 534, 2583, 4590, 1038, 6556, 689, 1582, 16192, 269, 3438, 318, 1962, 534, 2583, 10797, 825, 1219, 12055, 318, 539, 2471, 4311, 2187, 1038, 5727, 296, 614, 622, 936, 8728, 538, 513, 3178, 23867, 6073, 780, 1038, 6201, 454, 1038, 28612, 692, 1038, 21188, 3529, 815, 25032, 18692, 1038, 3267, 672, 7183, 2676, 1038, 3267, 672, 25032, 18692, 1038, 3267, 1363, 7183, 2676, 1038, 3267, 1363, 23516, 3799, 334, 284, 273, 13211, 1038, 3267, 1363, 23516, 3799, 334, 284, 274, 13211, 1038, 3267, 1363, 1100, 284, 272, 454, 1038, 3267, 672, 476, 13211, 1038, 3267, 672, 23516, 3799, 334, 284, 275, 13211, 1038, 3267, 672, 1100, 284, 271, 454, 1038, 3267, 25589, 1038, 21188, 585, 2385, 5332, 334, 267, 1126, 5332, 334, 267, 2385, 267, 1126, 267, 1126, 5091, 3704, 538, 3529, 269, 3438, 318, 539, 2471, 10031, 1038, 3267, 672, 1820, 263, 8001, 5332, 334, 267, 1126, 5332, 334, 267, 1126, 5091, 3704, 994, 1038, 7183, 476, 271, 476, 271, 454, 1038, 476, 271, 476, 272, 476, 272, 454, 1038, 476, 272, 476, 273, 476, 273, 454, 1038, 476, 272, 476, 274, 476, 273, 454, 1038, 476, 271, 476, 275, 476, 272, 692, 1038, 8173, 1038, 4831, 815, 476, 271, 692, 1038, 1219, 621, 4733, 27316, 267, 3178, 17107, 2018, 1875, 29985, 4831, 454, 2018, 1100, 815, 4831, 692, 2018, 952, 568, 27349, 27316, 267, 25032, 2187, 3546, 585, 1126, 538, 630, 27161, 16000, 267, 6843, 16192, 2187, 7386, 4831, 6834, 476, 272, 454, 7386, 6556, 1100, 267, 4831, 267, 6843, 267, 1126, 267, 3178, 1341, 476, 272, 454, 7386, 952, 568, 27349, 263, 18876, 267, 25032, 2187, 13376, 6556, 689, 621, 4733, 263, 18876, 267, 3178, 284, 323, 3704, 1341, 476, 272, 2020, 1038, 6556, 7183, 267, 476, 271, 267, 7183, 267, 1582, 267, 476, 271, 454, 1038, 6556, 689, 621, 4733, 4311, 267, 3178, 284, 271, 2020, 825, 1219, 12055, 318, 4565, 4169, 4311, 267, 7182, 281, 17511, 6185, 1112, 314, 1399, 4771, 13034, 1662, 762, 267, 17511, 11053, 340, 921, 314, 15615, 267, 10581, 316, 3910, 3178, 15871, 272, 2187, 1038, 5727, 296, 614, 622, 936, 519, 7161, 799, 11700, 846, 1142, 6843, 780, 1038, 901, 1152, 2306, 2631, 952, 519, 8371, 540, 519, 3177, 3529, 946, 519, 2387, 283, 319, 11346, 607, 513, 454, 1038, 8237, 4341, 780, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 7182, 454, 1038, 3178, 454, 2018, 2677, 1600, 3529, 3178, 269, 5590, 547, 2387, 268, 272, 319, 547, 621, 4733, 936, 519, 3762, 780, 1038, 6201, 454, 1038, 28612, 692, 1038, 21188, 1104, 11346, 454, 1038, 21188, 3529, 815, 25032, 18692, 1038, 3267, 672, 590, 5902, 3488, 343, 3299, 11346, 269, 2741, 267, 1547, 276, 13211, 1038, 3267, 672, 23516, 3799, 334, 284, 271, 13211, 1038, 3267, 672, 25032, 18692, 1038, 3267, 1363, 590, 5902, 3488, 344, 3299, 11346, 269, 2741, 267, 1547, 276, 13211, 1038, 3267, 1363, 23516, 3799, 334, 284, 272, 13211, 1038, 3267, 1363, 23516, 3799, 334, 284, 273, 994, 1038, 3267, 672, 12467, 1038, 3267, 25589, 1038, 21188, 585, 6978, 267, 3625, 538, 3529, 269, 3438, 318, 4565, 4169, 263, 3916, 1080, 28121, 262, 343, 9166, 630, 271, 267, 476, 272, 1070, 1412, 344, 9166, 630, 271, 267, 476, 272, 14587, 2187, 1038, 3267, 672, 1820, 263, 29566, 269, 7224, 267, 3625, 994, 1038, 476, 271, 27835, 343, 9166, 630, 271, 267, 476, 271, 269, 276, 1070, 1412, 344, 9166, 630, 271, 267, 476, 272, 264, 8679, 1038, 476, 272, 27835, 343, 9166, 630, 271, 269, 276, 267, 476, 272, 1070, 1412, 344, 9166, 630, 271, 267, 476, 271, 269, 276, 264, 8679, 1038, 476, 273, 27835, 343, 9166, 630, 271, 269, 276, 267, 476, 272, 1070, 1412, 344, 9166, 630, 271, 269, 276, 267, 476, 272, 264, 10926, 1038, 8173, 1038, 952, 3178, 2652, 476, 271, 912, 2018, 6556, 630, 1345, 267, 7182, 994, 2018, 2132, 692, 1038, 593, 267, 693, 815, 1582, 21858, 269, 517, 267, 1582, 21858, 269, 520, 692, 1038, 561, 318, 3916, 1080, 815, 2715, 1262, 3916, 1080, 267, 593, 281, 630, 3916, 1080, 314, 517, 6012, 271, 3910, 693, 14587, 952, 593, 538, 7182, 3116, 7182, 454, 1038, 6556, 689, 1582, 16000, 269, 3438, 318, 4565, 4169, 263, 3916, 1080, 284, 331, 318, 3916, 1080, 267, 3178, 284, 323, 3704, 910, 476, 272, 2020, 1038, 678, 318, 3916, 1080, 815, 2715, 1262, 3916, 1080, 267, 593, 281, 630, 520, 267, 7182, 314, 517, 6012, 272, 8079, 348, 952, 593, 538, 7182, 3116, 7182, 454, 1038, 6556, 689, 1582, 16192, 269, 3438, 318, 4565, 4169, 263, 3916, 1080, 284, 337, 318, 3916, 1080, 267, 3178, 284, 323, 3704, 910, 476, 272, 2020, 825, 1219, 12055, 5334, 680, 1080, 4311, 267, 7182, 281, 17511, 6185, 1112, 314, 1399, 4771, 13034, 1662, 762, 267, 17511, 11053, 340, 921, 314, 15615, 267, 10581, 14963, 2187, 1038, 5727, 296, 614, 622, 936, 10943, 1080, 780, 1038, 901, 1152, 2306, 2631, 952, 519, 8371, 540, 519, 3177, 3529, 946, 519, 2387, 283, 319, 11346, 607, 513, 8237, 454, 1038, 4341, 780, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 7182, 454, 1038, 3178, 692, 1038, 6201, 454, 1038, 28612, 692, 1038, 21188, 1104, 11346, 454, 1038, 21188, 3529, 815, 25032, 18692, 1038, 3267, 672, 590, 5902, 3488, 343, 3299, 11346, 269, 2741, 267, 1547, 276, 13211, 1038, 3267, 672, 23516, 3799, 334, 284, 271, 13211, 1038, 3267, 672, 25032, 18692, 1038, 3267, 1363, 590, 5902, 3488, 344, 3299, 11346, 269, 2741, 267, 1547, 276, 13211, 1038, 3267, 1363, 23516, 3799, 334, 284, 272, 13211, 1038, 3267, 1363, 23516, 3799, 334, 284, 273, 994, 1038, 3267, 672, 12467, 1038, 3267, 25589, 1038, 21188, 585, 1899, 538, 3529, 269, 3438, 5334, 680, 1080, 20719, 262, 343, 9166, 630, 271, 267, 476, 272, 1070, 1412, 344, 9166, 630, 271, 267, 476, 272, 14587, 2187, 1038, 3267, 672, 1820, 263, 1467, 994, 1038, 27835, 343, 9166, 630, 271, 269, 276, 267, 476, 271, 269, 276, 1070, 1412, 344, 9166, 630, 271, 267, 476, 272, 264, 8679, 1038, 27835, 343, 9166, 630, 271, 269, 276, 267, 476, 272, 1070, 1412, 344, 9166, 630, 271, 269, 276, 267, 476, 271, 269, 276, 264, 10926, 1038, 29185, 1038, 593, 267, 693, 815, 1582, 21858, 269, 517, 267, 1582, 21858, 269, 520, 692, 1038, 6556, 2715, 1262, 3916, 1080, 267, 593, 281, 630, 520, 267, 693, 264, 10926, 1038, 6556, 689, 1582, 16000, 269, 3438, 5334, 680, 1080, 263, 3916, 1080, 28121, 1262, 3916, 1080, 267, 593, 281, 630, 3916, 1080, 314, 517, 6012, 271, 3910, 693, 14587, 994, 1038, 6556, 689, 1582, 16192, 269, 3438, 5334, 680, 1080, 263, 3916, 1080, 28121, 1262, 3916, 1080, 267, 593, 281, 630, 520, 267, 7182, 314, 517, 6012, 272, 8079, 348, 9239, 5035, 23516, 263, 11966, 17107, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 1193, 4311, 14857, 18743, 1029, 2020, 825, 1219, 2619, 4311, 267, 1535, 2187, 1038, 6556, 1582, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2450, 4311, 2187, 1038, 2132, 476, 272, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 4463, 4311, 2187, 1038, 2132, 476, 271, 692, 825, 1219, 12055, 32470, 338, 4311, 267, 3178, 284, 271, 2187, 1038, 6556, 1582, 267, 3178, 692, 825, 1219, 12055, 318, 548, 2314, 4311, 2187, 1038, 6556, 1582, 692, 825, 1219, 12055, 318, 1962, 534, 2583, 4311, 2187, 1038, 6556, 689, 630, 2020, 825, 1219, 12055, 318, 539, 2471, 4311, 2187, 1038, 6556, 7183, 267, 476, 271, 267, 7183, 267, 1582, 267, 476, 271, 692, 825, 1219, 12055, 318, 4565, 4169, 4311, 267, 7182, 267, 3178, 15871, 272, 2187, 1038, 6556, 1582, 267, 7182, 692, 825, 1219, 12055, 5334, 680, 1080, 4311, 267, 7182, 2187, 1038, 6556, 689, 630, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 9854, 267, 543, 824, 1072, 2152, 563, 19465, 3039, 666, 948, 547, 2087, 519, 1604, 267, 855, 621, 666, 849, 948, 547, 2087, 707, 1072, 256, 1924, 1018, 616, 596, 7996, 585, 286, 3399, 2679, 3039, 543, 1376, 4743, 1732, 2221, 2336, 12892, 11588, 540, 8490, 5682, 454, 19465, 3039, 3091, 1514, 2640, 602, 979, 3564, 519, 2825, 543, 2804, 269, 5192, 4712, 547, 1451, 875, 596, 666, 948, 1118, 519, 1158, 513, 1732, 1747, 543, 4688, 2724, 693, 519, 1482, 942, 2336, 272, 269, 16842, 7991, 2657, 1107, 24613, 3039, 1797, 1210, 2326, 602, 616, 8902, 585, 519, 1604, 543, 585, 519, 1004, 945, 2661, 538, 543, 1472, 519, 2679, 269, 1635, 1904, 532, 585, 1970, 13305, 8016, 19267, 267, 6101, 24957, 6954, 13471, 267, 543, 824, 3039, 2679, 2326, 267, 596, 666, 948, 2569, 11255, 2011, 5533, 543, 1711, 513, 8902, 1604, 585, 707, 2146, 563, 273, 269, 8081, 10871, 24371, 1107, 1879, 596, 3442, 3039, 2679, 2326, 267, 596, 2461, 4543, 547, 1489, 2199, 4213, 538, 707, 1858, 269, 1635, 9140, 12725, 21433, 2326, 543, 2533, 267, 596, 2461, 4543, 547, 24772, 519, 2199, 4346, 543, 1711, 6009, 563, 274, 269, 32754, 4065, 1107, 8490, 3039, 568, 513, 1390, 1259, 547, 4001, 1453, 543, 4079, 7567, 827, 519, 2956, 540, 6940, 543, 2825, 19642, 269, 1635, 10283, 538, 3039, 2679, 267, 596, 666, 948, 547, 3262, 4656, 540, 519, 2640, 540, 3039, 2679, 543, 8300, 1866, 547, 1491, 2962, 563, 275, 269, 19928, 1393, 547, 4317, 24054, 1107, 24613, 3039, 666, 948, 547, 1711, 513, 811, 12581, 2486, 269, 1635, 1210, 3039, 2679, 2326, 543, 2553, 267, 596, 666, 948, 2569, 519, 2942, 2360, 540, 2916, 1689, 267, 799, 25409, 5540, 1970, 13867, 543, 12102, 2950, 563, 276, 269, 28389, 10866, 540, 5020, 1107, 5682, 2679, 711, 1152, 2337, 547, 2569, 5533, 543, 18359, 2200, 267, 855, 621, 666, 849, 2087, 519, 2298, 540, 1272, 538, 707, 2146, 269, 1635, 2870, 8902, 543, 811, 1648, 18026, 5656, 267, 596, 666, 948, 547, 2087, 519, 2949, 2298, 540, 1272, 585, 3025, 563, 277, 269, 11559, 16743, 1107, 1879, 596, 3442, 547, 1628, 3039, 267, 596, 2461, 4543, 547, 5000, 543, 1489, 5647, 538, 519, 2679, 2872, 269, 1635, 10115, 538, 3039, 2679, 2326, 543, 2553, 267, 596, 666, 948, 547, 8300, 1866, 547, 1589, 3544, 519, 4216, 543, 2097, 909, 609, 811, 3860, 543, 4264, 3435, 547, 2679, 563, 19465, 3039, 568, 513, 1390, 1259, 547, 948, 4688, 519, 1604, 543, 1118, 519, 1158, 513, 1732, 1747, 269, 1635, 2921, 519, 942, 547, 1382, 3039, 2679, 2326, 543, 2553, 267, 596, 666, 1118, 513, 1483, 3017, 538, 519, 2729, 540, 707, 12543, 543, 519, 1604, 563, 25618, 625, 585, 8490, 5682, 454, 19465, 3039, 568, 513, 1390, 1259, 547, 4688, 519, 1604, 267, 543, 621, 779, 4742, 4443, 543, 4443, 547, 798, 269, 3371, 616, 930, 2994, 547, 1205, 596, 3323, 912, 268, 26332, 3729, 17904, 1107, 6733, 585, 2081, 547, 2569, 3653, 543, 1648, 4616, 269, 901, 1223, 1331, 3478, 7759, 540, 11991, 3688, 610, 15175, 547, 811, 1648, 18026, 2472, 269, 1411, 1223, 849, 1413, 883, 9657, 543, 24600, 3681, 585, 707, 1753, 610, 5604, 563, 268, 7994, 12655, 10049, 1107, 6733, 585, 2326, 602, 616, 13381, 267, 30396, 19122, 267, 610, 3812, 689, 7791, 2200, 269, 901, 1223, 1331, 5214, 17234, 267, 19348, 32466, 267, 610, 556, 13094, 3574, 563, 268, 7665, 4476, 21252, 1107, 6733, 585, 2081, 547, 11694, 4398, 538, 707, 1753, 610, 5604, 269, 901, 1223, 1331, 9001, 2067, 1769, 543, 14910, 267, 16459, 1648, 18026, 14233, 267, 543, 1210, 7791, 1648, 2959, 563, 268, 21079, 15724, 583, 1218, 1107, 6333, 2081, 547, 2569, 2011, 267, 1216, 267, 543, 3037, 14107, 269, 901, 1223, 1331, 16459, 1970, 13305, 8016, 19267, 543, 14398, 1161, 267, 1210, 3039, 7738, 2472, 267, 543, 10115, 538, 1216, 22766, 26892, 563, 268, 7994, 6052, 31478, 15733, 1107, 6733, 585, 2472, 609, 606, 6052, 10060, 12773, 269, 901, 786, 948, 596, 2824, 2472, 602, 946, 1447, 1648, 267, 4227, 707, 3327, 11640, 563, 268, 22982, 24997, 6052, 17796, 1107, 6733, 585, 2081, 547, 2569, 707, 16126, 593, 2757, 1648, 2959, 269, 901, 1223, 1331, 10115, 538, 3859, 8440, 610, 2842, 18434, 610, 9001, 24232, 1648, 2959, 563, 268, 8081, 5682, 24371, 1107, 6733, 585, 4213, 602, 616, 2921, 3268, 547, 2569, 741, 2825, 1764, 269, 901, 1223, 1331, 4213, 602, 616, 10115, 538, 3039, 2029, 267, 9001, 4264, 11183, 267, 543, 1810, 908, 547, 2825, 3906, 563, 19465, 3039, 568, 513, 1390, 1259, 547, 2569, 707, 2825, 1764, 543, 4688, 2724, 538, 519, 1279, 2196, 269, 1635, 9001, 891, 2994, 267, 596, 666, 1711, 513, 8902, 267, 811, 4264, 1753, 610, 5604, 563, 763, 2640, 540, 3039, 2679, 616, 2312, 543, 26837, 4192, 269, 3502, 1152, 616, 789, 1732, 585, 519, 1604, 267, 855, 789, 616, 849, 1732, 585, 1004, 543, 2486, 607, 513, 2898, 269, 1284, 616, 782, 3743, 585, 7863, 519, 1604, 267, 543, 3039, 2679, 568, 835, 540, 519, 1655, 2081, 547, 798, 602, 269, 1284, 666, 782, 581, 851, 540, 519, 3039, 2679, 3350, 543, 1118, 513, 2318, 3017, 585, 938, 4541, 563, 16675, 2679, 568, 711, 1152, 1434, 585, 519, 1604, 267, 855, 621, 849, 2337, 609, 1648, 4398, 267, 2011, 2298, 267, 543, 1216, 5726, 269, 898, 666, 849, 948, 2569, 5665, 3790, 543, 1711, 8902, 2713, 543, 2324, 2175, 563, 3383, 1946, 7227, 286, 2913, 779, 782, 6443, 1927, 543, 1118, 519, 1158, 513, 1732, 1747, 676, 2679, 3039, 269, 898, 779, 519, 1318, 3364, 547, 798, 585, 721, 267, 585, 519, 1604, 267, 543, 585, 938, 4541, 269, 1284, 991, 547, 957, 1631, 543, 1376, 1818, 3039, 2679, 519, 2343, 269, 3776, 2104, 5673, 593, 621, 256, 0, 2005, 779, 849, 1271, 547, 917, 1946, 10217, 814, 1044, 3838, 267, 971, 607, 10217, 544, 28907, 267, 10217, 14735, 267, 10217, 17711, 267, 543, 1256, 10217, 18908, 1782, 269, 4208, 568, 519, 10217, 1500, 693, 519, 717, 639, 340, 12051, 21743, 543, 544, 3641, 267, 5631, 1317, 789, 946, 10217, 11256, 6191, 286, 3509, 1004, 1869, 723, 5266, 17077, 543, 2489, 2596, 1702, 540, 10217, 3294, 269, 4653, 267, 594, 786, 2285, 596, 930, 7811, 1702, 2798, 827, 519, 5377, 4494, 540, 10217, 563, 1432, 1772, 634, 28688, 3213, 908, 888, 763, 10217, 15098, 568, 4172, 3200, 675, 538, 2296, 543, 3943, 267, 1572, 1071, 6975, 32136, 538, 5053, 269, 898, 4667, 602, 519, 15098, 568, 1152, 4294, 547, 519, 1587, 779, 2627, 269, 898, 568, 849, 1419, 1031, 547, 3132, 6151, 575, 534, 5995, 267, 1854, 742, 548, 10217, 267, 544, 28907, 267, 543, 824, 2472, 269, 4340, 547, 3486, 6042, 267, 15098, 630, 322, 537, 3200, 675, 264, 4016, 547, 23342, 16755, 609, 513, 23342, 7423, 1543, 3152, 982, 610, 3160, 476, 4029, 10065, 4706, 5920, 693, 4055, 2837, 568, 519, 1482, 607, 602, 540, 10217, 282, 2311, 519, 1482, 942, 267, 538, 519, 24268, 1533, 267, 519, 15098, 568, 811, 5714, 267, 543, 519, 2489, 12051, 3096, 513, 10217, 13621, 3684, 547, 7500, 563, 2419, 8981, 1656, 28688, 3213, 908, 2052, 1401, 626, 769, 634, 11374, 22553, 454, 28343, 610, 11777, 267, 14036, 267, 4352, 10217, 14036, 814, 1082, 5383, 630, 324, 6470, 547, 9260, 267, 15835, 267, 2653, 547, 3575, 267, 3092, 13776, 621, 1590, 581, 3144, 883, 2272, 602, 267, 7429, 561, 7927, 610, 11113, 267, 621, 568, 811, 11630, 547, 1216, 11517, 543, 824, 10366, 538, 519, 1604, 1813, 547, 922, 3677, 2627, 1858, 538, 3346, 609, 519, 1604, 563, 763, 5888, 540, 519, 15098, 454, 6524, 7421, 519, 5888, 540, 519, 15098, 267, 621, 568, 2556, 547, 12172, 513, 14845, 1871, 267, 602, 568, 267, 519, 2495, 540, 519, 6871, 593, 519, 10217, 10189, 269, 10705, 593, 519, 11183, 540, 10217, 11113, 267, 971, 607, 476, 1789, 260, 1341, 267, 476, 2412, 260, 1341, 267, 476, 2004, 260, 1341, 267, 476, 2568, 260, 1341, 267, 476, 3583, 260, 1341, 267, 3092, 1421, 519, 1808, 6871, 1871, 4016, 547, 519, 2040, 540, 782, 519, 3334, 689, 23342, 10365, 267, 5219, 547, 607, 519, 2698, 23342, 1543, 267, 799, 2882, 23342, 7423, 267, 23342, 634, 3170, 849, 2501, 689, 23342, 10365, 563, 5475, 4197, 634, 23531, 2986, 634, 3213, 908, 267, 2913, 779, 13185, 6168, 634, 18567, 2986, 4706, 5565, 27449, 563, 268, 18567, 540, 23541, 454, 31880, 7190, 4016, 547, 519, 5714, 640, 609, 799, 519, 15098, 7575, 899, 513, 5714, 1310, 13621, 269, 966, 4593, 13920, 568, 519, 4187, 540, 6675, 538, 513, 5277, 547, 1847, 689, 835, 1776, 547, 1776, 269, 1452, 1079, 6724, 616, 1644, 267, 543, 1063, 873, 5581, 519, 5347, 1145, 540, 519, 10217, 15098, 269, 901, 11887, 519, 1710, 8864, 543, 5347, 1145, 540, 519, 1587, 269, 13575, 6340, 267, 519, 2362, 519, 25297, 1871, 267, 519, 23198, 519, 10217, 15098, 267, 543, 891, 6724, 666, 581, 14661, 676, 11544, 1114, 2472, 610, 4946, 23342, 7423, 563, 268, 634, 1034, 1271, 4128, 602, 1860, 519, 9403, 267, 6492, 267, 24710, 267, 543, 2681, 540, 10217, 630, 1723, 908, 2187, 5353, 3005, 267, 3099, 267, 5169, 267, 543, 2298, 540, 23342, 10365, 1031, 267, 18829, 1184, 5645, 856, 538, 519, 6721, 2197, 267, 4110, 540, 11256, 540, 23342, 10365, 267, 519, 5223, 540, 4006, 547, 23342, 538, 5888, 267, 5663, 1184, 267, 2953, 2191, 532, 267, 11466, 4542, 540, 15098, 267, 15098, 9403, 3666, 4542, 540, 10217, 1851, 1114, 2010, 540, 23342, 16755, 563, 3963, 6496, 28688, 14333, 5455, 888, 268, 28688, 3568, 513, 2603, 540, 23342, 7423, 269, 23081, 10394, 7423, 568, 9735, 269, 898, 2571, 839, 693, 476, 2764, 5232, 17622, 267, 543, 519, 4396, 5057, 3533, 7140, 883, 5277, 693, 476, 3451, 5232, 17622, 269, 4208, 666, 10217, 3251, 2182, 543, 4396, 693, 4055, 2837, 267, 11116, 621, 543, 1835, 18443, 855, 15835, 538, 519, 5023, 888, 268, 898, 568, 519, 8984, 540, 23342, 7423, 602, 621, 814, 513, 7522, 13621, 1448, 2039, 543, 568, 2673, 547, 519, 1560, 2837, 267, 1818, 10217, 6492, 269, 7843, 27128, 10217, 568, 695, 514, 1512, 267, 811, 4101, 267, 543, 544, 3641, 538, 6492, 563, 268, 2107, 15794, 267, 596, 723, 713, 2243, 281, 1772, 2837, 7939, 1175, 8022, 10217, 286, 1684, 596, 991, 547, 10038, 519, 2837, 1169, 942, 596, 946, 10217, 267, 610, 568, 621, 513, 8628, 4324, 547, 1852, 621, 2899, 286, 18323, 7939, 568, 711, 513, 2241, 2837, 4473, 543, 2887, 855, 8022, 267, 9023, 267, 8022, 267, 543, 3001, 1184, 269, 634, 10156, 519, 1184, 267, 519, 1732, 269, 2991, 519, 2191, 532, 10217, 814, 22799, 267, 621, 2115, 547, 581, 12699, 1586, 563, 763, 6206, 1677, 3204, 6819, 28688, 18323, 1772, 18323, 267, 17726, 267, 1656, 853, 597, 2590, 454, 268, 1703, 786, 581, 13581, 3604, 538, 2837, 7939, 540, 10217, 609, 1114, 23342, 7423, 1543, 269, 13575, 267, 519, 10217, 11183, 9126, 786, 723, 513, 4704, 2837, 2016, 676, 519, 10672, 269, 1280, 1383, 267, 4158, 10217, 786, 3002, 909, 547, 827, 476, 2004, 5232, 1107, 3579, 1524, 547, 476, 2767, 5232, 1107, 827, 476, 4029, 5232, 269, 769, 1840, 267, 519, 4055, 2837, 585, 10217, 5106, 568, 1655, 6417, 693, 1472, 476, 1240, 5232, 563, 268, 18320, 3500, 3432, 543, 1932, 1279, 942, 786, 1291, 547, 5821, 540, 2837, 7939, 269, 1403, 519, 10217, 568, 2451, 2150, 31189, 1310, 8022, 267, 621, 786, 711, 581, 21743, 1310, 9023, 267, 543, 519, 21052, 568, 17071, 269, 4475, 267, 621, 2115, 547, 581, 13489, 1042, 1282, 8022, 543, 9023, 269, 2991, 891, 1614, 3268, 267, 596, 666, 1118, 10217, 609, 3501, 561, 13831, 543, 21052, 563, 307, 17687, 6513, 10613, 454, 268, 3057, 1076, 1505, 281, 630, 1492, 1034, 1455, 543, 7123, 1505, 264, 5901, 519, 18899, 4831, 9008, 2973, 543, 1216, 1652, 267, 519, 2837, 568, 827, 476, 736, 5232, 267, 3002, 519, 2837, 15696, 6819, 10217, 547, 476, 2004, 268, 7367, 5232, 547, 15835, 621, 267, 2322, 476, 273, 270, 274, 540, 519, 10217, 3196, 593, 519, 18899, 267, 946, 513, 22883, 3121, 547, 3579, 621, 1394, 543, 8521, 547, 827, 476, 736, 5232, 267, 543, 1118, 519, 12627, 4295, 269, 3973, 3575, 519, 3312, 10217, 543, 3142, 519, 2949, 2837, 547, 476, 1789, 268, 3953, 5232, 269, 3687, 30093, 2011, 1058, 581, 5916, 513, 5934, 1297, 540, 2053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 16482, 258, 7711, 331, 322, 813, 284, 548, 564, 13892, 6983, 333, 7329, 284, 280, 31423, 284, 7090, 274, 454, 16482, 258, 1496, 280, 316, 13127, 505, 508, 24757, 12255, 454, 258, 692, 258, 7711, 331, 322, 3009, 284, 11034, 454, 5035, 8827, 912, 825, 1219, 568, 21595, 30308, 4311, 267, 1535, 281, 703, 264, 9847, 536, 944, 912, 1038, 1193, 13448, 284, 1598, 3287, 994, 1038, 1948, 604, 1193, 13448, 2525, 1598, 13448, 11468, 18737, 272, 14158, 1038, 1948, 825, 2132, 6936, 3097, 1038, 1948, 12828, 912, 1038, 1948, 825, 2132, 8771, 476, 22614, 362, 478, 22287, 499, 25913, 25622, 454, 1038, 1376, 284, 271, 454, 1038, 1439, 284, 6352, 19304, 13448, 9984, 272, 454, 1038, 1247, 1376, 283, 754, 2433, 1948, 9463, 490, 418, 490, 485, 421, 496, 486, 454, 23526, 952, 1193, 13448, 314, 11034, 316, 2525, 1598, 13448, 314, 754, 14158, 4449, 1376, 23785, 272, 454, 4449, 1439, 268, 284, 272, 454, 23526, 3116, 10778, 4449, 476, 2132, 8771, 454, 1038, 2132, 6936, 28329, 258, 7711, 331, 322, 3009, 284, 754, 692, 0, 3698, 30337, 10857, 560, 2187, 825, 533, 272, 815, 476, 271, 454, 825, 533, 273, 815, 7003, 10857, 560, 9984, 272, 454, 825, 1247, 533, 272, 2999, 533, 273, 543, 533, 272, 13843, 476, 271, 543, 533, 273, 10922, 7003, 10857, 560, 264, 910, 476, 272, 912, 1038, 952, 32102, 314, 335, 272, 316, 2999, 476, 271, 543, 32102, 314, 335, 273, 316, 13843, 476, 271, 912, 2018, 533, 272, 6834, 476, 272, 454, 2018, 533, 273, 20699, 476, 272, 454, 1038, 1948, 533, 272, 568, 1434, 855, 533, 273, 568, 660, 454, 1038, 8640, 32102, 314, 335, 272, 316, 2999, 476, 271, 543, 32102, 314, 335, 273, 316, 2999, 476, 271, 912, 2018, 533, 272, 6834, 476, 272, 454, 1038, 1948, 533, 273, 568, 1434, 267, 855, 533, 272, 3884, 1405, 454, 1038, 8640, 32102, 314, 335, 272, 316, 13843, 476, 271, 543, 32102, 314, 335, 273, 316, 13843, 476, 271, 912, 2018, 533, 273, 20699, 476, 272, 454, 1038, 8640, 32102, 314, 335, 272, 316, 13843, 476, 271, 543, 32102, 314, 335, 273, 316, 2999, 476, 271, 912, 2018, 10917, 815, 32102, 314, 335, 272, 2639, 2018, 32102, 314, 335, 272, 316, 815, 32102, 314, 335, 273, 2639, 2018, 32102, 314, 335, 273, 316, 815, 10917, 454, 2018, 533, 272, 6834, 476, 272, 454, 2018, 533, 273, 20699, 476, 272, 454, 825, 2132, 32102, 7531, 2745, 263, 516, 1551, 1052, 8443, 268, 272, 267, 476, 273, 267, 910, 274, 267, 910, 275, 267, 476, 276, 28413, 2745, 263, 516, 1551, 1052, 8443, 271, 267, 476, 271, 267, 476, 271, 267, 910, 273, 28413, 0, 258, 14568, 23840, 692, 3698, 1265, 8548, 1278, 318, 591, 23753, 14116, 2187, 825, 2063, 318, 3200, 815, 476, 271, 454, 825, 10272, 815, 1496, 16178, 316, 2608, 575, 269, 3200, 1182, 454, 825, 585, 1535, 538, 2039, 14116, 269, 3200, 1182, 2187, 1038, 952, 10272, 20572, 316, 568, 8771, 912, 2018, 546, 12028, 3287, 267, 575, 267, 10272, 994, 2018, 2063, 318, 3200, 815, 1535, 454, 825, 1948, 4063, 281, 952, 3113, 711, 4448, 1131, 991, 547, 798, 1776, 546, 12028, 547, 13182, 454, 825, 2132, 2063, 318, 3200, 7531, 3698, 546, 12028, 3287, 267, 575, 267, 10272, 2187, 825, 10518, 815, 3733, 1805, 871, 4590, 825, 10518, 4877, 2313, 3287, 994, 825, 10272, 20572, 316, 815, 6936, 454, 825, 1247, 10518, 18994, 318, 24105, 3890, 568, 8771, 912, 1038, 1225, 815, 10518, 21014, 4590, 1038, 2212, 815, 575, 15126, 314, 2017, 4940, 3650, 17045, 454, 1038, 1247, 2212, 11203, 7183, 912, 2018, 952, 10272, 314, 3650, 21606, 316, 568, 8771, 912, 3546, 10272, 314, 3650, 21606, 316, 815, 6936, 454, 3546, 10518, 4877, 2313, 263, 3650, 21606, 994, 2018, 2212, 815, 2212, 12785, 21223, 2211, 7531, 258, 10878, 633, 23840, 281, 1684, 546, 12028, 585, 1142, 14584, 454, 258, 1219, 1265, 8548, 1278, 318, 591, 23753, 14116, 2187, 258, 672, 1003, 15058, 318, 3200, 1182, 23631, 3737, 815, 476, 271, 454, 258, 672, 585, 1775, 538, 2039, 14116, 269, 3200, 1182, 2187, 258, 1363, 1003, 15058, 318, 3200, 1182, 23631, 3737, 815, 1685, 318, 5263, 306, 14116, 267, 1775, 994, 258, 1363, 952, 630, 11133, 15058, 318, 3200, 1182, 23631, 3737, 568, 575, 269, 3200, 1182, 2187, 258, 17264, 2132, 1775, 454, 258, 672, 2132, 910, 476, 272, 7531, 258, 1219, 1685, 318, 5263, 306, 14116, 267, 2707, 2187, 258, 672, 1003, 15058, 318, 3200, 1182, 815, 575, 269, 3200, 1182, 454, 258, 672, 14622, 23631, 3737, 815, 476, 271, 454, 258, 672, 10272, 815, 1496, 16178, 316, 2608, 1003, 15058, 318, 3200, 1182, 454, 258, 672, 10518, 815, 3733, 1805, 871, 4590, 258, 672, 10518, 4877, 2313, 4433, 1830, 994, 258, 672, 10272, 314, 25899, 316, 815, 6936, 454, 258, 672, 1247, 630, 23637, 18994, 318, 24105, 3890, 568, 8771, 2187, 258, 1363, 1699, 17045, 815, 10518, 21014, 4590, 258, 1363, 10917, 815, 575, 15126, 314, 9690, 17045, 4940, 3650, 17045, 454, 258, 1363, 1247, 630, 31184, 568, 711, 7183, 2187, 258, 17264, 952, 630, 6665, 1243, 314, 31184, 21606, 316, 568, 8771, 2187, 258, 4449, 10518, 4877, 2313, 6025, 11391, 21606, 994, 258, 4449, 10272, 314, 31184, 21606, 316, 815, 6936, 454, 258, 4449, 14622, 23631, 3737, 6834, 476, 272, 454, 258, 17264, 10917, 815, 10917, 12785, 21223, 2211, 454, 258, 672, 2132, 14622, 23631, 3737, 1341, 476, 272, 454, 0, 3698, 1079, 318, 719, 15058, 318, 2897, 5332, 4548, 10857, 560, 2187, 825, 1003, 272, 815, 7183, 454, 825, 1003, 273, 815, 7183, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 10857, 560, 15892, 1038, 952, 32102, 5157, 268, 272, 316, 3436, 32102, 5157, 316, 543, 1003, 272, 2652, 7183, 912, 2018, 1003, 272, 815, 32102, 5157, 268, 272, 2639, 1038, 952, 32102, 5157, 268, 272, 316, 3436, 32102, 5157, 316, 543, 1003, 272, 11203, 7183, 912, 2018, 1003, 273, 815, 32102, 5157, 2639, 825, 2132, 1496, 11133, 272, 267, 1003, 273, 6540, 454, 2745, 6025, 6851, 318, 719, 15058, 318, 2897, 5332, 4548, 8443, 272, 267, 476, 271, 267, 476, 273, 28413, 2745, 6025, 6851, 318, 719, 15058, 318, 2897, 5332, 4548, 8443, 275, 267, 476, 273, 267, 476, 272, 8079, 2020, 258, 519, 1003, 602, 568, 1932, 1804, 786, 2141, 2097, 1354, 519, 15358, 602, 568, 1932, 1507, 454, 258, 972, 786, 2141, 581, 513, 1003, 602, 568, 1932, 1804, 543, 1932, 1507, 692, 258, 4063, 281, 1223, 849, 29906, 689, 4395, 540, 5044, 267, 543, 1265, 2582, 3693, 454, 258, 1141, 1297, 568, 711, 4130, 982, 835, 1310, 621, 454, 258, 1287, 29906, 689, 1394, 540, 5044, 267, 543, 1265, 2582, 1297, 602, 568, 454, 258, 711, 3677, 982, 519, 835, 1354, 621, 454, 0, 258, 27952, 454, 3698, 1265, 298, 301, 3941, 20172, 267, 737, 2187, 825, 952, 3597, 568, 7183, 912, 1038, 2132, 7183, 692, 825, 1219, 1265, 298, 301, 3941, 20172, 267, 737, 2187, 1038, 2164, 815, 11713, 1038, 20313, 815, 1496, 346, 262, 27161, 9166, 3597, 267, 1412, 4650, 9166, 476, 271, 348, 2639, 1038, 1247, 7003, 263, 28255, 264, 3436, 476, 271, 912, 2018, 1225, 815, 20313, 21014, 263, 271, 994, 2018, 952, 1225, 9131, 4650, 11172, 2652, 737, 912, 3546, 2164, 6910, 263, 2017, 9131, 27161, 262, 4940, 1998, 994, 3546, 3136, 454, 2018, 952, 630, 2017, 9131, 27161, 262, 4940, 3847, 21609, 11203, 7183, 2187, 3546, 20313, 6910, 18692, 7386, 27835, 27161, 9166, 1225, 9131, 27161, 262, 4940, 3847, 21609, 267, 1412, 4650, 9166, 1225, 9131, 4650, 11172, 1341, 476, 272, 348, 994, 2018, 952, 630, 2017, 9131, 27161, 262, 4940, 2431, 21609, 11203, 7183, 2187, 3546, 20313, 6910, 18692, 7386, 27835, 27161, 9166, 1225, 9131, 27161, 262, 4940, 2431, 21609, 267, 1412, 4650, 9166, 1225, 9131, 4650, 11172, 1341, 476, 272, 348, 994, 1038, 2132, 2164, 454, 825, 2132, 1265, 298, 301, 3941, 20172, 267, 737, 2020, 258, 25276, 454, 258, 1219, 1265, 298, 301, 3941, 20172, 267, 737, 2187, 258, 672, 1219, 1039, 301, 3941, 20172, 267, 737, 267, 1003, 267, 2855, 2187, 258, 1363, 952, 3597, 568, 7183, 912, 258, 17264, 2132, 2855, 454, 258, 1363, 952, 737, 2652, 1003, 912, 258, 17264, 2855, 6910, 20172, 22183, 994, 258, 17264, 2132, 2855, 454, 258, 1363, 1039, 301, 3941, 20172, 16000, 21609, 267, 737, 267, 1003, 1341, 476, 272, 267, 2855, 994, 258, 1363, 1039, 301, 3941, 20172, 16192, 21609, 267, 737, 267, 1003, 1341, 476, 272, 267, 2855, 994, 258, 1363, 2132, 2855, 454, 258, 672, 2132, 1039, 301, 3941, 20172, 267, 737, 267, 476, 271, 267, 1496, 7481, 0, 12163, 290, 4471, 579, 2742, 804, 21692, 6446, 7154, 548, 579, 2742, 533, 612, 10394, 1384, 4263, 1026, 583, 657, 281, 562, 727, 267, 7329, 1228, 267, 26240, 334, 552, 5621, 3120, 454, 300, 18863, 617, 657, 281, 2037, 767, 515, 1356, 267, 1266, 867, 541, 267, 900, 698, 516, 1356, 267, 524, 637, 1356, 269, 9866, 281, 3097, 303, 528, 533, 7310, 14244, 267, 513, 524, 3385, 606, 334, 6446, 562, 1601, 320, 533, 612, 10394, 679, 767, 515, 576, 267, 3097, 338, 754, 334, 513, 7329, 1228, 1642, 320, 2367, 528, 6446, 476, 2641, 606, 657, 267, 1714, 320, 632, 557, 524, 637, 1356, 476, 271, 267, 276, 4699, 563, 25721, 6759, 338, 15259, 476, 1789, 606, 657, 267, 513, 524, 3385, 606, 334, 679, 767, 515, 322, 18480, 513, 533, 612, 10394, 632, 557, 740, 9595, 597, 476, 272, 11899, 513, 544, 9820, 563, 263, 2946, 579, 2742, 533, 612, 10394, 581, 2465, 655, 6822, 550, 5451, 6319, 6393, 20701, 258, 1362, 623, 612, 10394, 912, 258, 672, 562, 727, 815, 1412, 7055, 258, 672, 7329, 1228, 815, 476, 271, 454, 258, 672, 26240, 334, 815, 476, 271, 454, 258, 672, 5621, 3120, 815, 476, 271, 22562, 258, 672, 1948, 1326, 815, 2525, 4196, 544, 9820, 16948, 3898, 541, 546, 15606, 454, 258, 672, 1219, 1305, 5332, 727, 4311, 267, 562, 727, 318, 1260, 921, 1729, 2187, 258, 1363, 1582, 8542, 727, 815, 562, 727, 318, 1260, 921, 1729, 692, 258, 672, 1219, 1305, 16182, 1228, 4311, 267, 7329, 1228, 2187, 258, 1363, 1582, 269, 573, 1228, 815, 7329, 1228, 692, 258, 672, 1219, 1305, 318, 6647, 334, 4311, 267, 26240, 334, 2187, 258, 1363, 1582, 4877, 525, 334, 815, 26240, 334, 22562, 258, 672, 1219, 1305, 318, 5306, 3120, 4311, 267, 5621, 3120, 2187, 258, 1363, 1582, 269, 5306, 3120, 815, 5621, 3120, 692, 258, 672, 1219, 1205, 5332, 727, 4311, 2187, 258, 1363, 2132, 18011, 301, 727, 1264, 1729, 281, 4939, 338, 262, 4939, 630, 1345, 8542, 727, 4917, 8931, 258, 672, 1219, 1205, 16182, 1228, 4311, 2187, 258, 1363, 2132, 18011, 27306, 1228, 281, 4939, 338, 606, 657, 262, 4939, 630, 1345, 269, 573, 1228, 11723, 258, 672, 1219, 1205, 318, 5306, 3120, 4311, 2187, 258, 1363, 2132, 18011, 2704, 339, 3120, 281, 4939, 338, 1558, 4592, 262, 4939, 630, 1598, 4311, 269, 5306, 3120, 4297, 2020, 258, 672, 1219, 1205, 318, 6647, 334, 4311, 2187, 258, 1363, 2132, 18011, 303, 525, 334, 281, 4939, 338, 4846, 262, 4939, 630, 1598, 4311, 4877, 525, 334, 4297, 2020, 258, 672, 1219, 524, 637, 1356, 4311, 2187, 258, 1363, 1582, 269, 573, 1228, 815, 10581, 4311, 269, 573, 1228, 994, 258, 1363, 1582, 269, 5306, 3120, 815, 10581, 4311, 269, 5306, 3120, 994, 258, 1363, 952, 1582, 269, 573, 1228, 2999, 476, 2641, 912, 258, 17264, 1582, 269, 5306, 3120, 6834, 476, 271, 269, 4962, 454, 258, 1363, 2132, 18011, 288, 647, 320, 5621, 3120, 13005, 638, 328, 513, 476, 272, 606, 334, 1583, 5451, 281, 4939, 269, 273, 325, 544, 262, 4939, 630, 1345, 269, 5306, 3120, 11723, 258, 672, 1219, 1266, 867, 541, 4311, 2187, 258, 1363, 1582, 269, 573, 1228, 815, 10581, 4311, 269, 573, 1228, 994, 258, 1363, 1582, 4877, 525, 334, 815, 10581, 4311, 4877, 525, 334, 994, 258, 1363, 952, 1582, 269, 573, 1228, 3436, 476, 1789, 912, 258, 17264, 1582, 4877, 525, 334, 6834, 476, 272, 454, 258, 1363, 2132, 18011, 302, 694, 340, 26240, 334, 13005, 638, 328, 513, 476, 272, 606, 334, 1583, 5451, 281, 4939, 269, 273, 325, 4846, 262, 4939, 630, 1345, 4877, 525, 334, 4917, 1363, 19638, 258, 533, 815, 623, 612, 10394, 4590, 258, 533, 15630, 5332, 727, 3488, 310, 518, 1676, 1261, 1188, 2401, 5073, 258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9166, 18358, 323, 3299, 1412, 324, 11172, 3686, 8679, 825, 8173, 825, 585, 1883, 538, 10569, 11468, 268, 272, 14158, 1038, 9598, 338, 815, 9598, 338, 15630, 29239, 31107, 267, 9598, 15405, 825, 9598, 338, 815, 9598, 338, 15630, 29239, 263, 12399, 15631, 272, 3910, 1592, 15405, 825, 9598, 338, 6910, 17635, 9239, 3698, 1205, 7272, 23411, 4433, 21683, 2187, 825, 5727, 17653, 919, 3597, 3562, 6122, 2378, 10092, 267, 2016, 513, 3529, 23810, 538, 5569, 3898, 269, 8074, 602, 454, 825, 1205, 24786, 568, 606, 12055, 1807, 543, 1281, 711, 2132, 782, 519, 10092, 8195, 780, 825, 2433, 12407, 521, 21683, 281, 1193, 281, 3529, 23810, 454, 825, 29185, 825, 588, 815, 1592, 4590, 825, 31575, 815, 834, 4840, 825, 585, 1577, 538, 521, 21683, 912, 1038, 952, 1577, 2652, 834, 2891, 912, 2018, 952, 31575, 11203, 834, 13426, 3546, 588, 6910, 6025, 5404, 994, 3546, 31575, 815, 834, 4840, 1038, 8640, 1577, 2652, 834, 264, 13426, 2018, 952, 31575, 11203, 834, 13426, 3546, 588, 6910, 6025, 5404, 994, 3546, 6556, 588, 454, 2018, 588, 815, 588, 11468, 910, 272, 910, 630, 339, 5404, 11203, 834, 8442, 2639, 2018, 31575, 815, 834, 4840, 1038, 8640, 1577, 2652, 834, 834, 912, 2018, 952, 31575, 11203, 834, 13426, 3546, 588, 6910, 6025, 5404, 994, 3546, 31575, 815, 834, 4840, 1038, 3116, 912, 2018, 31575, 6834, 1577, 7531, 3698, 1612, 572, 4671, 872, 3316, 802, 263, 560, 2187, 825, 5727, 14303, 5281, 519, 7222, 3529, 540, 519, 3529, 23810, 267, 538, 519, 1106, 540, 454, 825, 513, 29005, 8675, 454, 825, 2433, 12407, 588, 281, 1193, 281, 3529, 23810, 1210, 24282, 10035, 454, 825, 8173, 825, 546, 815, 9598, 4590, 825, 585, 2619, 538, 1205, 7272, 23411, 263, 560, 2187, 1038, 1305, 24786, 5560, 267, 2619, 11468, 268, 272, 3910, 2619, 15631, 272, 7481, 825, 2132, 546, 454, 0, 18851, 293, 17313, 585, 840, 30112, 5931, 269, 3502, 1893, 10391, 27969, 692, 5228, 17511, 1104, 5903, 267, 8838, 1308, 454, 5228, 27033, 10757, 1092, 1104, 3339, 1125, 7531, 3698, 804, 339, 330, 5332, 5436, 1125, 29495, 267, 17356, 18989, 2187, 825, 952, 17356, 912, 1038, 2132, 3339, 1125, 2891, 22143, 298, 290, 2580, 1257, 994, 825, 3116, 912, 1038, 2132, 3339, 1125, 2891, 301, 15598, 2580, 1257, 9239, 3698, 4894, 5332, 517, 318, 30913, 328, 9272, 23952, 2187, 825, 5727, 7230, 913, 1875, 23829, 857, 328, 3197, 454, 825, 11905, 281, 5291, 2517, 23637, 1478, 6503, 2593, 21669, 270, 16328, 26801, 274, 454, 825, 8173, 825, 1100, 318, 30913, 328, 815, 834, 2668, 21860, 9217, 585, 1775, 538, 3403, 23952, 952, 3921, 9217, 264, 2999, 476, 12553, 994, 825, 2132, 1100, 318, 30913, 328, 7531, 3698, 4894, 5332, 517, 9078, 11294, 9272, 23952, 267, 849, 318, 18141, 22561, 2187, 825, 5727, 7230, 913, 1875, 6441, 11294, 3197, 563, 825, 2387, 10193, 318, 18141, 319, 1058, 581, 513, 1592, 799, 786, 1039, 1347, 338, 630, 324, 3052, 269, 18685, 994, 825, 602, 786, 711, 581, 22012, 563, 825, 8173, 825, 952, 849, 318, 18141, 912, 1038, 849, 318, 18141, 6834, 22373, 834, 2639, 825, 3116, 912, 1038, 849, 318, 18141, 815, 22373, 834, 2639, 825, 32204, 15220, 1513, 815, 834, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 4840, 825, 32204, 15220, 1513, 6834, 32204, 15220, 1513, 31573, 4590, 825, 32204, 15220, 1513, 6834, 834, 2668, 21860, 263, 10193, 318, 18141, 994, 825, 1100, 9078, 11294, 815, 834, 2668, 21860, 8443, 10420, 585, 1347, 538, 3403, 23952, 952, 1347, 538, 32204, 15220, 1513, 7481, 825, 2132, 1100, 9078, 11294, 7531, 3698, 8237, 4671, 571, 4979, 7272, 9417, 29495, 281, 1193, 267, 18685, 281, 8838, 1308, 314, 8266, 314, 1598, 14963, 815, 7183, 264, 9847, 1193, 912, 825, 5727, 5278, 18351, 9088, 267, 1519, 602, 538, 12254, 5633, 267, 798, 711, 2141, 454, 825, 6023, 18685, 5265, 269, 1280, 1383, 267, 513, 911, 4979, 3935, 630, 1730, 257, 14267, 413, 376, 370, 29857, 10382, 281, 257, 1730, 994, 825, 568, 711, 8237, 883, 606, 3063, 18685, 18351, 269, 901, 1599, 454, 825, 1281, 971, 24590, 593, 6151, 1257, 1354, 1373, 2366, 547, 971, 454, 825, 513, 18351, 6500, 780, 825, 1488, 7714, 912, 1038, 1257, 281, 18452, 1257, 5569, 563, 1038, 18685, 281, 5903, 540, 18685, 602, 1058, 581, 8237, 950, 911, 4979, 513, 2262, 780, 825, 16849, 912, 1038, 7956, 5569, 609, 911, 4979, 18685, 9674, 676, 513, 16543, 10628, 1915, 780, 825, 21188, 6151, 26748, 815, 834, 24681, 10382, 16483, 24341, 24556, 32703, 16708, 22886, 14832, 8730, 3852, 379, 30307, 494, 24681, 3852, 379, 413, 376, 370, 29857, 10382, 281, 31057, 494, 24556, 30307, 376, 24818, 413, 378, 377, 3852, 379, 30307, 500, 14832, 4840, 825, 21188, 8237, 4671, 571, 4979, 7272, 9417, 29495, 284, 3863, 26748, 994, 825, 1412, 24681, 10382, 16483, 24341, 24556, 32703, 16708, 22886, 14832, 476, 8730, 3852, 379, 30307, 494, 24681, 3852, 379, 413, 376, 370, 29857, 10382, 2433, 31057, 494, 24556, 30307, 376, 24818, 413, 378, 377, 3852, 379, 30307, 500, 14832, 7055, 825, 8173, 825, 952, 711, 18685, 912, 1038, 1948, 1548, 827, 519, 1225, 569, 3364, 630, 1730, 413, 378, 377, 1730, 264, 538, 19838, 12181, 29857, 413, 378, 377, 1730, 454, 1038, 18685, 815, 1496, 9899, 2580, 834, 685, 2580, 834, 892, 19312, 476, 1948, 14656, 1225, 569, 10530, 454, 825, 1007, 15220, 1513, 281, 5903, 314, 1598, 316, 815, 1592, 4590, 825, 585, 4994, 267, 1347, 538, 26246, 29495, 2187, 1038, 952, 1347, 538, 18685, 543, 4994, 3436, 476, 271, 912, 2018, 1948, 6744, 2436, 519, 14047, 568, 7923, 547, 513, 2262, 1439, 454, 2018, 7173, 318, 10420, 815, 1257, 27709, 910, 476, 272, 2639, 2018, 1948, 1403, 513, 2230, 2907, 1354, 519, 14047, 267, 1287, 1810, 1405, 1039, 2230, 454, 2018, 952, 7173, 318, 10420, 269, 1170, 10628, 10031, 3546, 1007, 15220, 1513, 6910, 263, 10420, 994, 2018, 3116, 912, 3546, 1948, 1403, 1100, 16543, 10628, 1354, 267, 1287, 798, 519, 8237, 454, 3546, 1007, 15220, 1513, 6910, 6600, 257, 2715, 10420, 348, 5602, 1038, 3116, 912, 2018, 1007, 15220, 1513, 6910, 263, 10420, 994, 825, 2132, 834, 2668, 21860, 28956, 15220, 1513, 9239, 3698, 8237, 318, 18490, 7272, 9417, 29495, 281, 1193, 267, 18685, 281, 8838, 1308, 314, 8266, 314, 1598, 14963, 815, 7183, 264, 9847, 1193, 912, 825, 5727, 5278, 18351, 9088, 267, 1519, 602, 538, 12254, 5633, 267, 798, 711, 2141, 454, 825, 6023, 18685, 5265, 269, 1280, 1383, 267, 606, 1930, 1225, 569, 454, 825, 10839, 476, 630, 1730, 257, 8072, 24681, 10382, 16483, 24341, 24556, 32703, 16708, 22886, 14832, 685, 257, 1730, 264, 568, 711, 8237, 883, 606, 3063, 18685, 454, 825, 18351, 269, 901, 1599, 1281, 971, 24590, 593, 6151, 1257, 1354, 454, 825, 1373, 2366, 547, 971, 513, 18351, 6500, 780, 825, 1488, 7714, 912, 1038, 1257, 281, 18452, 1257, 5569, 563, 1038, 18685, 281, 5903, 540, 18685, 602, 1058, 581, 8237, 950, 1354, 513, 2262, 780, 825, 16849, 912, 1038, 7956, 5569, 609, 3056, 18685, 9674, 676, 513, 16543, 10628, 1915, 780, 825, 21188, 6151, 26748, 815, 834, 8072, 24681, 10382, 16483, 24341, 24556, 32703, 16708, 22886, 14832, 8730, 3852, 379, 30307, 494, 24681, 3852, 379, 413, 376, 370, 29857, 10382, 281, 31057, 494, 24556, 30307, 376, 24818, 413, 378, 377, 3852, 379, 30307, 500, 14832, 4840, 825, 21188, 8237, 318, 18490, 7272, 9417, 29495, 284, 3863, 26748, 994, 825, 1412, 8072, 3852, 374, 10382, 16483, 24341, 24556, 32703, 16708, 22886, 14832, 8730, 3852, 379, 30307, 494, 24681, 3852, 379, 413, 376, 370, 29857, 10382, 281, 31057, 494, 24556, 30307, 376, 24818, 413, 378, 377, 3852, 379, 30307, 500, 14832, 7055, 825, 8173, 825, 952, 711, 18685, 912, 1038, 18685, 815, 22373, 8072, 2580, 834, 2108, 19312, 476, 1948, 6679, 1225, 569, 10530, 454, 825, 1007, 15220, 1513, 281, 5903, 314, 1598, 316, 815, 1592, 4590, 825, 2063, 318, 10420, 16182, 343, 815, 7003, 29495, 264, 910, 476, 272, 454, 825, 585, 4994, 267, 1347, 538, 26246, 29495, 2187, 1038, 1948, 1403, 693, 1439, 540, 5569, 267, 1810, 1405, 8237, 454, 1038, 952, 4994, 2652, 2063, 318, 10420, 16182, 343, 912, 2018, 1007, 15220, 1513, 6910, 263, 10420, 994, 2018, 3136, 454, 1038, 1985, 318, 10420, 815, 1257, 27709, 1341, 476, 272, 2639, 1038, 1948, 1403, 972, 568, 2907, 513, 16543, 10628, 6619, 267, 798, 711, 1039, 1776, 454, 1038, 952, 1985, 318, 10420, 269, 1170, 10628, 10031, 2018, 1007, 15220, 1513, 6910, 263, 10420, 994, 2018, 3136, 454, 1038, 3116, 912, 2018, 952, 1347, 538, 18685, 912, 3546, 1007, 15220, 1513, 6910, 6600, 257, 346, 10420, 348, 19515, 2018, 3116, 912, 3546, 1007, 15220, 1513, 6910, 263, 10420, 994, 825, 2132, 834, 2668, 21860, 28956, 15220, 1513, 9239, 3698, 4894, 318, 15957, 7272, 9417, 29495, 281, 1193, 267, 18685, 281, 5903, 314, 1598, 316, 815, 7183, 264, 9847, 1193, 912, 825, 5727, 7230, 913, 1978, 3197, 602, 19654, 3157, 798, 454, 825, 711, 6023, 1134, 269, 898, 1131, 581, 1732, 547, 946, 12181, 20889, 318, 18490, 7272, 9417, 3890, 1730, 454, 825, 543, 12181, 20889, 4671, 571, 4979, 7272, 9417, 3890, 1730, 267, 2705, 519, 9949, 3631, 454, 825, 856, 540, 12254, 5633, 1118, 1360, 9490, 9073, 950, 267, 552, 3052, 1421, 12181, 257, 8072, 257, 1730, 454, 825, 568, 1500, 922, 1378, 18351, 780, 825, 1548, 547, 798, 827, 519, 19980, 23393, 1739, 606, 1714, 1707, 630, 324, 3052, 1421, 454, 825, 12181, 257, 29857, 413, 378, 377, 3269, 1730, 264, 2496, 825, 21188, 6151, 26748, 815, 834, 8072, 24681, 10382, 16483, 24341, 24556, 32703, 16708, 22886, 14832, 8730, 3852, 379, 30307, 494, 24681, 3852, 379, 413, 376, 370, 29857, 10382, 281, 31057, 494, 24556, 30307, 376, 24818, 413, 378, 377, 3852, 379, 30307, 500, 14832, 4840, 825, 21188, 4894, 318, 15957, 7272, 9417, 263, 3863, 26748, 994, 825, 1412, 24681, 10382, 16483, 24341, 24556, 32703, 16708, 22886, 14832, 267, 3852, 379, 30307, 494, 24681, 3852, 379, 413, 376, 370, 29857, 10382, 31057, 494, 24556, 30307, 376, 24818, 413, 378, 377, 3852, 379, 30307, 500, 14832, 7055, 825, 8173, 825, 952, 711, 18685, 912, 1038, 18685, 815, 22373, 8072, 2580, 834, 2108, 2580, 834, 24333, 834, 685, 2580, 834, 892, 31116, 825, 1347, 338, 281, 5903, 314, 1598, 316, 815, 1496, 10420, 585, 1347, 538, 1257, 952, 1347, 711, 538, 18685, 2639, 825, 2132, 834, 2668, 21860, 263, 577, 1513, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 1808, 2042, 971, 607, 8194, 610, 9389, 558, 663, 24212, 4745, 630, 26774, 297, 264, 1928, 454, 302, 322, 1816, 531, 8874, 616, 2547, 1455, 269, 1452, 8874, 1397, 519, 2898, 11116, 540, 519, 2539, 610, 5580, 10265, 269, 744, 322, 1816, 531, 1535, 12345, 267, 950, 3144, 267, 616, 5631, 3144, 593, 1453, 547, 1397, 519, 20349, 1931, 540, 519, 8628, 4522, 563, 311, 12345, 1780, 998, 2182, 543, 2571, 5160, 538, 519, 5023, 269, 634, 1535, 18422, 11237, 568, 17808, 676, 16437, 518, 3889, 267, 971, 607, 4522, 267, 30836, 267, 28287, 267, 543, 7633, 269, 29726, 2408, 14402, 1317, 7864, 1535, 12345, 979, 998, 519, 4522, 547, 3914, 519, 4670, 269, 28533, 885, 543, 10733, 2068, 2408, 18632, 630, 3333, 1144, 676, 513, 4158, 5544, 538, 519, 5694, 610, 2530, 540, 5642, 2497, 1472, 519, 5694, 264, 1317, 540, 811, 1535, 11920, 21774, 269, 2201, 519, 4670, 267, 519, 3043, 2592, 616, 519, 10053, 3889, 563, 290, 785, 344, 674, 269, 744, 10542, 267, 681, 6395, 267, 634, 717, 1446, 6828, 5549, 1421, 717, 1446, 267, 24354, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3296, 1070, 543, 22502, 8515, 568, 4299, 676, 13441, 267, 8159, 519, 4143, 22502, 4320, 666, 581, 11029, 630, 322, 8807, 269, 7533, 4560, 1916, 8649, 870, 540, 7698, 454, 2690, 513, 2016, 22502, 4320, 267, 519, 8515, 540, 519, 22502, 666, 581, 2219, 540, 607, 513, 16785, 540, 519, 6824, 540, 519, 1570, 538, 519, 2016, 1533, 270, 874, 848, 270, 935, 14808, 4851, 269, 594, 4318, 269, 952, 513, 2016, 8445, 568, 6793, 538, 835, 3732, 5288, 269, 1776, 267, 1287, 713, 1797, 602, 519, 5123, 630, 322, 15009, 531, 1106, 267, 3092, 4700, 7222, 547, 602, 8445, 5526, 811, 4749, 538, 602, 3732, 269, 2290, 1590, 581, 6297, 267, 2705, 267, 607, 1082, 824, 1919, 616, 26582, 538, 8445, 15627, 630, 528, 1304, 566, 267, 4524, 267, 3092, 28593, 9616, 602, 538, 2489, 267, 1134, 268, 23912, 1949, 786, 2408, 547, 14649, 811, 9244, 982, 4617, 569, 268, 23912, 1949, 269, 589, 3376, 22502, 8445, 630, 20791, 9274, 264, 786, 723, 2539, 5021, 8515, 982, 513, 8325, 22502, 8445, 630, 15927, 9274, 1040, 2859, 3622, 267, 21237, 10288, 3889, 2285, 4473, 547, 22502, 2621, 267, 6466, 24267, 1949, 798, 711, 22502, 519, 10071, 5982, 563, 763, 8515, 540, 22502, 10253, 609, 519, 4009, 540, 519, 22502, 4334, 269, 1280, 1535, 17530, 267, 22502, 14340, 689, 6475, 5860, 282, 1775, 4318, 269, 519, 4143, 4334, 568, 519, 6475, 29213, 3017, 1063, 519, 1079, 11775, 269, 630, 2690, 25268, 22502, 267, 519, 6046, 2480, 30568, 20099, 25670, 568, 519, 4143, 4334, 4700, 1280, 3236, 267, 4154, 21384, 9361, 538, 12511, 786, 723, 5393, 1804, 4334, 543, 786, 1291, 547, 1360, 7920, 22502, 269, 4982, 2526, 1836, 13355, 4874, 560, 344, 16867, 21384, 9361, 538, 1216, 786, 723, 1454, 2539, 22502, 4334, 269, 3509, 2571, 2173, 2660, 1949, 3976, 723, 4617, 4334, 281, 552, 3052, 269, 3625, 2275, 30496, 1067, 8544, 2684, 1162, 4125, 1079, 1114, 12249, 2249, 267, 609, 5176, 9838, 24186, 269, 4935, 741, 22502, 4334, 568, 26483, 4617, 630, 8117, 666, 1869, 581, 2625, 539, 1210, 5348, 577, 8527, 1258, 11237, 6050, 1916, 9928, 30568, 4334, 666, 581, 17543, 9867, 538, 1931, 547, 2744, 3606, 1344, 827, 513, 1062, 269, 1280, 3236, 267, 835, 666, 2268, 513, 24338, 1062, 538, 2011, 267, 543, 1287, 609, 19857, 11423, 519, 22405, 269, 634, 3017, 538, 22502, 2636, 835, 547, 2708, 519, 2497, 269, 1280, 3818, 16327, 9426, 1949, 267, 835, 666, 17543, 1412, 4186, 2858, 2173, 2255, 262, 513, 1880, 2249, 267, 1818, 621, 15865, 630, 1729, 22502, 1916, 295, 27941, 19195, 19589, 538, 1535, 11920, 22502, 3622, 17538, 513, 1134, 20452, 2497, 269, 19120, 5511, 569, 267, 952, 596, 1294, 6266, 540, 2362, 268, 7451, 267, 596, 666, 2161, 596, 723, 513, 1360, 1134, 268, 23457, 2497, 269, 1280, 7636, 19589, 267, 713, 2356, 1797, 513, 1164, 7779, 12627, 630, 5976, 1804, 10286, 7306, 1040, 1280, 23282, 7051, 19589, 267, 713, 2356, 1797, 513, 1134, 20452, 2706, 331, 3430, 823, 540, 930, 2186, 563, 3519, 14287, 267, 4524, 11148, 547, 22962, 19589, 267, 543, 849, 24773, 880, 519, 8515, 540, 2362, 19195, 19589, 630, 322, 8807, 269, 1546, 25742, 8862, 718, 518, 3815, 1040, 9866, 6326, 1152, 513, 2582, 8445, 1797, 513, 3810, 2935, 1229, 1062, 630, 324, 3052, 269, 993, 6973, 748, 24386, 5148, 1775, 4318, 269, 972, 568, 930, 9053, 9325, 12268, 1834, 3845, 267, 855, 1100, 25992, 24775, 1931, 547, 3476, 9883, 563, 763, 14556, 885, 540, 2362, 19195, 19589, 616, 4299, 676, 519, 3169, 3337, 540, 519, 3889, 9361, 593, 519, 556, 1023, 10628, 24775, 282, 1775, 4318, 269, 519, 556, 1023, 10628, 24775, 11887, 519, 8445, 7158, 267, 1247, 519, 6475, 29213, 3892, 1369, 519, 1770, 1591, 8060, 519, 8445, 15627, 269, 901, 25244, 540, 8445, 15627, 666, 581, 3665, 281, 552, 3052, 269, 606, 3617, 6475, 29213, 3892, 666, 7357, 24773, 880, 513, 1880, 8445, 563, 1607, 1198, 666, 581, 6956, 538, 2474, 540, 519, 1106, 3815, 1110, 6819, 519, 2497, 3815, 8445, 15627, 269, 4935, 267, 952, 513, 2016, 9325, 3337, 630, 528, 267, 811, 3622, 267, 5860, 3892, 538, 519, 1770, 1591, 264, 814, 513, 1106, 29969, 5934, 693, 513, 1880, 7117, 267, 1287, 1022, 7293, 8445, 693, 713, 7117, 786, 711, 2408, 563, 2690, 3236, 267, 2015, 513, 22917, 15362, 2497, 609, 2698, 4494, 19437, 546, 282, 540, 1576, 649, 2503, 23483, 1606, 10628, 19589, 693, 1923, 336, 347, 815, 476, 273, 12631, 7933, 267, 543, 538, 1249, 649, 2503, 2362, 268, 7451, 693, 1923, 336, 347, 815, 562, 476, 273, 12631, 7933, 585, 782, 8870, 562, 269, 1717, 267, 585, 513, 1134, 20452, 1079, 2000, 9707, 2497, 1141, 1142, 1016, 2000, 9707, 814, 519, 1482, 11098, 630, 338, 13645, 2914, 1511, 5860, 9043, 1070, 519, 1256, 19195, 18759, 786, 581, 15534, 269, 1403, 519, 1079, 1016, 2000, 16558, 723, 1114, 11098, 525, 267, 1287, 519, 1256, 19195, 19589, 786, 581, 1459, 269, 2859, 3622, 267, 519, 8390, 538, 8515, 1063, 519, 9642, 543, 1256, 19589, 666, 581, 1031, 547, 17429, 576, 519, 10279, 268, 12860, 563, 4002, 519, 824, 3665, 267, 2015, 513, 476, 272, 291, 18110, 2497, 1141, 519, 5860, 9775, 18980, 1355, 958, 282, 519, 2362, 9642, 9753, 786, 581, 15534, 269, 769, 1249, 267, 513, 9985, 18980, 18042, 2497, 1152, 2115, 519, 4909, 22263, 5057, 547, 4625, 4766, 519, 5860, 3491, 12803, 269, 769, 824, 1913, 267, 519, 2362, 19195, 19589, 786, 581, 7357, 15534, 563, 290, 15009, 531, 11352, 543, 18112, 550, 566, 454, 307, 9720, 630, 18982, 748, 267, 476, 274, 291, 8869, 267, 538, 13807, 2033, 8869, 267, 2582, 2275, 15009, 531, 264, 0, 4263, 2547, 930, 1543, 538, 713, 2376, 568, 6508, 689, 1344, 12286, 538, 20646, 2880, 2142, 6814, 281, 634, 9197, 1307, 540, 6182, 785, 601, 342, 12245, 269, 1306, 971, 267, 27253, 619, 786, 581, 1459, 1369, 519, 2376, 563, 305, 644, 20462, 1975, 1408, 2006, 630, 4148, 269, 476, 4572, 271, 338, 264, 729, 513, 4436, 530, 19123, 945, 5249, 607, 519, 10361, 540, 5549, 22531, 566, 693, 519, 4139, 32700, 540, 654, 23275, 269, 1261, 15548, 538, 717, 749, 1068, 6182, 785, 601, 342, 12245, 781, 3063, 1288, 689, 26914, 24433, 547, 2342, 547, 2626, 585, 1010, 10963, 543, 729, 519, 1152, 31848, 540, 6182, 785, 601, 342, 12245, 781, 9101, 563, 300, 698, 673, 5759, 543, 1983, 454, 268, 4077, 916, 281, 1975, 1408, 2006, 729, 24215, 9952, 693, 1347, 916, 267, 609, 1864, 1373, 2111, 547, 24847, 8580, 675, 909, 513, 1744, 1752, 932, 1301, 4571, 1922, 718, 607, 4166, 607, 646, 3893, 513, 3180, 540, 1010, 9991, 18389, 267, 3257, 865, 3927, 2614, 547, 7639, 606, 5393, 1164, 2887, 563, 268, 6348, 16812, 9059, 281, 1975, 1408, 2006, 729, 9952, 609, 26068, 28542, 267, 16113, 3623, 1836, 16213, 513, 1744, 1752, 932, 1301, 563, 268, 1975, 1408, 2006, 568, 513, 4436, 17163, 21519, 602, 11710, 689, 519, 5664, 4400, 4436, 838, 559, 19508, 516, 267, 2495, 834, 329, 6856, 4799, 6826, 16442, 519, 10207, 454, 268, 20646, 2880, 2142, 6814, 281, 634, 9197, 1307, 540, 6182, 785, 601, 342, 12245, 454, 268, 20646, 2880, 2142, 6814, 281, 634, 9197, 1307, 540, 6182, 785, 601, 342, 12245, 910, 634, 22731, 24897, 2452, 630, 5575, 5920, 994, 24687, 543, 8100, 454, 268, 20875, 1306, 646, 729, 10361, 540, 5549, 22531, 566, 693, 519, 15096, 310, 538, 476, 4572, 278, 267, 646, 729, 2693, 540, 2085, 563, 268, 20875, 28691, 267, 31396, 267, 18903, 256, 281, 634, 10435, 540, 20646, 2880, 2142, 6814, 281, 634, 9197, 1307, 540, 6182, 785, 601, 342, 12245, 910, 630, 8450, 713, 3239, 994, 268, 20875, 20646, 2880, 2142, 6814, 281, 634, 9197, 1307, 540, 6182, 785, 601, 342, 12245, 910, 634, 22731, 24897, 2452, 267, 26657, 476, 274, 454, 268, 20875, 834, 9202, 20646, 2880, 2142, 6814, 4670, 8761, 1007, 3197, 1107, 1519, 12832, 15614, 4469, 14712, 257, 593, 8000, 3410, 648, 0, 15307, 629, 7667, 634, 16610, 2986, 670, 1841, 25597, 1656, 4793, 1470, 14716, 769, 634, 14924, 25597, 12752, 454, 299, 1343, 25597, 568, 3989, 607, 513, 4999, 540, 2238, 602, 12189, 519, 7298, 2934, 540, 606, 1858, 540, 2244, 543, 782, 540, 922, 2609, 269, 7579, 320, 543, 21426, 616, 930, 540, 519, 2609, 602, 2291, 593, 2244, 3029, 602, 616, 540, 519, 7121, 540, 2713, 2609, 269, 7849, 2609, 723, 930, 540, 519, 1806, 607, 14099, 5546, 267, 2244, 13257, 543, 1216, 4703, 269, 16661, 543, 8654, 2175, 616, 930, 540, 519, 1806, 540, 2609, 602, 616, 540, 7493, 2470, 563, 295, 1841, 25597, 568, 519, 7121, 540, 30120, 543, 602, 2882, 812, 18478, 2934, 1031, 538, 5251, 6189, 269, 32520, 267, 20398, 543, 17328, 951, 616, 519, 1875, 2000, 1516, 8631, 540, 519, 5251, 1374, 602, 1118, 909, 519, 22409, 3874, 563, 31262, 532, 540, 519, 5251, 949, 581, 12936, 607, 519, 22409, 3874, 543, 5251, 1374, 616, 11368, 547, 960, 1927, 269, 2368, 540, 519, 4388, 540, 1210, 22409, 3874, 538, 519, 1374, 1331, 1818, 2386, 602, 519, 16538, 543, 519, 9703, 13292, 519, 22409, 3874, 1373, 1031, 865, 602, 789, 666, 581, 2111, 547, 2095, 563, 5194, 9133, 540, 30120, 568, 602, 789, 1058, 581, 2111, 547, 1711, 513, 17122, 1448, 585, 519, 3593, 779, 22401, 865, 602, 789, 666, 1964, 519, 4064, 2059, 519, 13156, 7552, 269, 18135, 697, 3515, 1832, 513, 1374, 689, 4743, 2067, 543, 865, 1082, 540, 873, 1058, 711, 581, 11368, 543, 3079, 6338, 14258, 543, 5180, 8728, 547, 1711, 513, 3308, 12705, 1317, 602, 568, 865, 1271, 538, 1374, 269, 5522, 753, 585, 12775, 568, 513, 2731, 4052, 1448, 547, 1491, 883, 7156, 865, 602, 519, 1374, 568, 9444, 27226, 540, 1216, 610, 27876, 607, 519, 3871, 1131, 1711, 12469, 563, 8512, 338, 602, 616, 538, 519, 1374, 602, 616, 2630, 519, 15470, 1899, 949, 581, 6870, 1210, 519, 22409, 3874, 543, 3976, 519, 2067, 7269, 543, 11005, 666, 1100, 3476, 1860, 519, 1374, 543, 1287, 621, 949, 581, 2111, 547, 2560, 3367, 2859, 907, 5649, 2859, 9890, 0, 12441, 596, 917, 602, 952, 596, 723, 1453, 267, 596, 616, 606, 3486, 7803, 286, 3143, 2339, 875, 29737, 621, 4992, 267, 621, 666, 581, 519, 4641, 540, 2282, 2104, 256, 31379, 3409, 602, 519, 772, 2529, 269, 30171, 8433, 4667, 547, 723, 4503, 741, 7104, 8186, 3976, 16561, 971, 9490, 3156, 269, 3502, 1152, 772, 2529, 269, 855, 849, 1034, 540, 519, 2919, 2477, 616, 3238, 538, 513, 5728, 4339, 998, 513, 1007, 7271, 799, 814, 519, 1761, 547, 3715, 543, 5150, 741, 5010, 4222, 543, 2797, 3310, 1876, 2685, 2336, 4504, 21526, 16296, 7126, 630, 7709, 305, 264, 10466, 7271, 2966, 609, 30171, 267, 14645, 267, 570, 2784, 655, 1046, 267, 11633, 5071, 267, 2983, 7240, 1473, 1709, 543, 11780, 31981, 602, 1331, 707, 18563, 267, 707, 1568, 538, 1148, 543, 3332, 267, 707, 5010, 3961, 267, 2528, 267, 6561, 543, 2757, 2853, 269, 32501, 568, 3246, 3255, 547, 11100, 909, 4529, 543, 2093, 269, 31603, 2477, 616, 811, 7255, 827, 7379, 305, 6388, 950, 519, 1875, 31465, 2477, 616, 964, 597, 748, 547, 1491, 519, 4324, 540, 14051, 563, 4913, 267, 519, 5168, 568, 602, 2919, 2477, 616, 849, 27560, 519, 2093, 267, 1568, 543, 1200, 527, 1137, 4749, 269, 1280, 1806, 281, 968, 289, 3008, 7246, 2316, 681, 21201, 892, 568, 513, 1826, 540, 5065, 7573, 540, 938, 2197, 269, 1323, 772, 2529, 269, 2754, 3893, 14664, 14261, 593, 621, 538, 772, 2529, 1421, 543, 6836, 547, 3247, 16276, 621, 538, 3127, 543, 14913, 5607, 256, 4095, 2229, 15653, 772, 2529, 269, 3409, 6031, 602, 621, 568, 10805, 607, 741, 6237, 1426, 269, 5080, 29418, 267, 649, 1185, 1100, 3656, 8468, 547, 2149, 938, 2528, 543, 10923, 6561, 256, 3776, 8789, 16250, 662, 4011, 3127, 814, 2907, 3893, 14261, 593, 11918, 323, 8643, 590, 732, 324, 1299, 26981, 3333, 1731, 13183, 320, 607, 3127, 779, 22542, 1587, 689, 1656, 31137, 1160, 9188, 327, 269, 12846, 972, 616, 1082, 811, 2152, 593, 1981, 899, 281, 674, 1794, 2993, 631, 24546, 267, 645, 16656, 1792, 3139, 7573, 3092, 269, 1133, 3104, 532, 547, 721, 267, 938, 18563, 267, 1568, 267, 4529, 1299, 1200, 527, 1137, 616, 1373, 21687, 4749, 1152, 1317, 540, 938, 15424, 8467, 543, 3668, 540, 4656, 563, 1692, 7379, 786, 1852, 519, 5010, 1158, 888, 15703, 3486, 21308, 1299, 10873, 1775 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 1107, 476, 275, 4864, 476, 9965, 271, 264, 729, 513, 3703, 2244, 26782, 543, 22267, 563, 2026, 513, 1762, 812, 646, 1185, 606, 26035, 609, 10906, 10370, 339, 1479, 2023, 267, 519, 2034, 7385, 540, 6723, 10370, 1777, 601, 2023, 267, 519, 26554, 27891, 540, 519, 1401, 3832, 20960, 269, 1677, 9101, 519, 3702, 550, 29317, 646, 2968, 513, 9972, 804, 17064, 538, 519, 8136, 9796, 8433, 543, 729, 2366, 609, 519, 8136, 607, 2628, 24490, 593, 606, 16939, 547, 32147, 3570, 267, 799, 729, 513, 29988, 20171, 269, 2201, 1010, 2132, 607, 513, 14547, 812, 646, 12349, 519, 8498, 540, 26280, 538, 1744, 549, 23137, 689, 519, 16099, 540, 3751, 8725, 538, 476, 12293, 275, 267, 5679, 18088, 1524, 519, 3504, 26280, 16836, 267, 543, 3710, 538, 922, 1747, 513, 1007, 2777, 538, 513, 2189, 2511, 1759, 593, 4566, 6537, 909, 676, 7167, 1464, 9466, 563, 27001, 476, 12293, 279, 543, 476, 10082, 275, 646, 729, 16588, 540, 12057, 585, 661, 1407, 5069, 269, 1261, 11542, 585, 9550, 1586, 538, 476, 10082, 275, 855, 729, 21354, 17204, 563, 3891, 5747, 538, 476, 9965, 271, 543, 729, 12617, 538, 853, 4446, 628, 565, 727, 342, 781, 5783, 267, 26280, 269, 1261, 1185, 9310, 12756, 267, 519, 8250, 540, 4460, 2142, 31348, 1195, 267, 609, 7247, 646, 1185, 513, 5067, 267, 849, 3957, 6723, 267, 543, 513, 8250, 563, 307, 784, 16836, 5293, 547, 1010, 5067, 267, 945, 9863, 547, 581, 513, 10169, 561, 2444, 643, 1190, 7083, 540, 519, 2494, 528, 563, 268, 667, 7838, 19611, 267, 6723, 630, 15876, 272, 268, 3199, 1070, 540, 26280, 16836, 267, 6428, 641, 454, 347, 1607, 2376, 827, 513, 16588, 540, 519, 12057, 540, 4279, 6628, 630, 10204, 278, 1700, 5197, 271, 264, 8204, 606, 2296, 14218, 1890, 568, 513, 20839, 269, 1411, 666, 948, 9504, 676, 9750, 621, 269, 347, 0, 347, 292, 4582, 566, 1475, 275, 267, 12573, 544, 630, 1691, 267, 17734, 10264, 264, 11406, 19064, 668, 29561, 1475, 273, 267, 9818, 544, 630, 277, 267, 12010, 10264, 264, 11406, 347, 19613, 1475, 4537, 871, 13987, 11076, 267, 19778, 2008, 19064, 1861, 2039, 1475, 20075, 523, 10906, 16186, 2008, 300, 870, 4460, 5069, 568, 513, 18618, 24406, 8898, 2527, 604, 1147, 25236, 532, 519, 5087, 1439, 540, 19778, 781, 4460, 5069, 17934, 879, 269, 634, 1292, 8445, 814, 606, 15038, 540, 476, 275, 267, 12573, 15432, 630, 1691, 267, 26604, 10264, 264, 543, 519, 2539, 1016, 24406, 752, 568, 476, 275, 267, 18231, 15432, 630, 1691, 267, 271, 5655, 10264, 264, 1164, 269, 5494, 2642, 676, 519, 3703, 2817, 21303, 30609, 819, 540, 476, 5002, 272, 1700, 5002, 275, 1070, 621, 568, 3957, 585, 11184, 595, 6123, 4460, 5069, 267, 945, 267, 607, 5518, 540, 519, 9576, 2983, 7240, 5980, 267, 9709, 519, 16939, 543, 8359, 7917, 24415, 935, 8845, 607, 922, 6205, 269, 6778, 4460, 5069, 568, 519, 8772, 3620, 580, 4554, 16600, 7986, 8445, 538, 19778, 563, 347, 1607, 1744, 871, 13987, 11076, 4087, 2376, 568, 513, 20839, 269, 1411, 666, 948, 9504, 676, 9750, 621, 269, 347, 0, 268, 1215, 568, 17283, 513, 13249, 5869, 543, 1018, 568, 1010, 13249, 16950, 888, 268, 1772, 17283, 513, 5869, 610, 513, 5636, 664, 1557, 888, 268, 1548, 568, 17283, 779, 3804, 888, 268, 4208, 568, 17283, 711, 513, 13357, 888, 268, 1548, 568, 17283, 779, 8467, 888, 268, 4208, 568, 17283, 711, 513, 5869, 888, 268, 1548, 616, 930, 540, 17283, 779, 13249, 20924, 888, 268, 6496, 17283, 8275, 1010, 13249, 16950, 888, 268, 1548, 568, 17283, 779, 13249, 16950, 8141, 17084, 888, 268, 4208, 568, 17283, 513, 4617, 1915, 888, 268, 1548, 568, 519, 942, 1974, 540, 17283, 888, 268, 1772, 19151, 513, 13249, 5869, 888, 268, 1548, 568, 17283, 779, 13249, 16950, 1557, 888, 268, 1772, 17283, 513, 5869, 1557, 888, 268, 1548, 2306, 513, 13249, 5869, 888, 268, 5808, 568, 519, 1483, 5636, 664, 538, 17283, 888, 268, 1772, 17283, 1434, 610, 9409, 888, 268, 1548, 568, 519, 4214, 540, 513, 13249, 16950, 888, 268, 1548, 616, 8423, 7410, 9342, 888, 268, 1548, 568, 519, 5837, 3992, 538, 17283, 888, 268, 4208, 568, 17283, 513, 13249, 5869, 888, 268, 1772, 17283, 513, 13249, 5869, 610, 711, 888, 268, 1548, 568, 17283, 779, 1292, 1966, 888, 1692, 568, 17283, 513, 13249, 5869, 543, 1018, 568, 1010, 13249, 16950, 888, 4537, 6832, 779, 13249, 5869, 17283, 779, 14603, 16950, 568, 1010, 5821, 547, 957, 5612, 547, 6146, 19863, 3780, 267, 1010, 11515, 543, 15294, 19907, 540, 1010, 4651, 563, 14367, 22876, 2858, 1588, 267, 1010, 13249, 16950, 267, 5012, 1864, 547, 1010, 798, 558, 2059, 609, 602, 540, 519, 824, 3197, 646, 9072, 10756, 3674, 17283, 513, 5869, 610, 513, 5636, 664, 1557, 888, 295, 600, 2280, 2501, 2066, 607, 1312, 513, 5869, 543, 513, 5636, 664, 2429, 2048, 295, 600, 2280, 685, 693, 1114, 11996, 269, 3571, 14017, 267, 13919, 267, 19969, 543, 8560, 616, 6157, 24123, 7592, 2705, 835, 666, 1406, 20912, 1010, 5636, 664, 748, 2081, 538, 1010, 4308, 902, 609, 14956, 3559, 807, 267, 1010, 11318, 540, 2717, 517, 3780, 543, 1034, 11932, 1010, 8488, 532, 540, 11318, 19863, 3780, 563, 1432, 568, 17283, 779, 3804, 888, 295, 600, 2280, 779, 3804, 729, 547, 1285, 3188, 1010, 4651, 779, 2669, 267, 855, 646, 1101, 2877, 547, 2744, 519, 4222, 543, 1318, 1544, 547, 798, 865, 269, 30777, 593, 519, 824, 1688, 729, 6743, 2390, 607, 513, 15626, 812, 267, 513, 5869, 538, 519, 4098, 540, 519, 1404, 269, 1809, 676, 1864, 1373, 14255, 25771, 557, 646, 729, 8945, 539, 883, 18468, 602, 1010, 2648, 267, 2677, 12047, 7431, 267, 20729, 539, 1864, 563, 3963, 568, 17283, 711, 513, 13357, 888, 295, 600, 2280, 3112, 581, 519, 13249, 5869, 267, 1256, 1498, 1010, 1650, 568, 7184, 13249, 267, 1317, 646, 19330, 513, 14603, 16950, 543, 1256, 814, 606, 1055, 1606, 10547, 25863, 9095, 602, 2636, 1864, 547, 6368, 2322, 1010, 967, 1815, 1707, 11735, 543, 11886, 1010, 22038, 563, 1432, 568, 17283, 779, 8467, 888, 295, 600, 2280, 15225, 9342, 543, 12755, 607, 1134, 267, 4352, 1010, 12755, 540, 936, 6253, 9722, 267, 15280, 1145, 267, 543, 1010, 17418, 547, 3398, 519, 2669, 540, 1010, 4651, 31083, 20760, 1010, 9342, 563, 3963, 568, 17283, 711, 513, 5869, 888, 295, 600, 2280, 814, 1896, 20924, 267, 899, 513, 13249, 5869, 267, 855, 646, 568, 711, 6353, 607, 5140, 676, 1022, 1797, 269, 2560, 4014, 17283, 814, 519, 1761, 547, 581, 513, 13249, 5869, 267, 1010, 8284, 3197, 538, 519, 1404, 18348, 1864, 543, 2014, 1864, 547, 1831, 9409, 267, 4061, 17021, 1864, 4652, 527, 585, 519, 2140, 540, 968, 339, 4048, 545, 5869, 9731, 1432, 616, 930, 540, 17283, 779, 13249, 20924, 888, 295, 600, 2280, 779, 13249, 16950, 568, 1010, 17418, 547, 957, 269, 1635, 6313, 1010, 24835, 1464, 547, 3479, 11980, 267, 1010, 17418, 547, 2097, 547, 2474, 609, 11318, 1010, 3993, 267, 8380, 593, 513, 1404, 547, 8488, 11318, 19863, 3780, 543, 519, 17418, 547, 6146, 19863, 3780, 1247, 646, 779, 32467, 267, 649, 1294, 602, 17283, 23297, 711, 547, 1491, 2962, 563, 9989, 17283, 8275, 1010, 13249, 16950, 888, 295, 600, 2280, 779, 13249, 16950, 568, 11251, 538, 1010, 1915, 267, 865, 972, 568, 711, 1175, 835, 957, 610, 6429, 1141, 646, 30877, 713, 16950, 269, 3571, 967, 1815, 1707, 547, 957, 267, 547, 581, 9575, 909, 538, 513, 1533, 540, 1010, 1378, 24880, 267, 3587, 713, 13249, 16950, 269, 1717, 267, 1810, 1406, 581, 1932, 2182, 593, 17283, 563, 1432, 568, 17283, 779, 13249, 16950, 8141, 17084, 888, 6624, 13915, 1491, 513, 15002, 2065, 2070, 540, 17283, 779, 4729, 267, 19163, 602, 519, 19036, 779, 17418, 547, 957, 543, 12402, 4724, 14264, 3273, 344, 8086, 568, 513, 968, 339, 4048, 545, 16950, 892, 602, 5012, 23366, 547, 1010, 27757, 563, 3963, 568, 17283, 513, 4617, 1915, 888, 7661, 267, 17283, 568, 4617, 2094, 646, 568, 771, 323, 664, 995, 267, 513, 5609, 540, 519, 17399, 656, 543, 25861, 540, 2295, 269, 3571, 2623, 950, 609, 2717, 517, 3780, 568, 7938, 20564, 540, 513, 19036, 563, 1432, 568, 519, 942, 1974, 540, 17283, 888, 763, 1650, 540, 17283, 568, 1305, 538, 519, 3735, 1647, 6502, 630, 1691, 628, 543, 476, 1428, 628, 5553, 267, 610, 476, 9873, 271, 547, 476, 14983, 280, 264, 538, 543, 1472, 630, 2865, 569, 264, 519, 10424, 19289, 538, 661, 3149, 514, 648, 267, 513, 2749, 538, 16862, 563, 3674, 19151, 513, 13249, 5869, 888, 305, 727, 334, 568, 2808, 513, 13249, 5869, 1317, 646, 568, 540, 15626, 4332, 267, 16716, 4250, 883, 519, 5304, 998, 1010, 27757, 543, 2636, 1010, 13249, 1915, 16950, 547, 3310, 1010, 5079, 799, 18867, 5012, 547, 1010, 31774, 563, 1432, 568, 17283, 779, 13249, 16950, 1557, 888, 295, 600, 2280, 779, 13249, 16950, 568, 1010, 17418, 547, 1285, 3188, 1010, 4651, 779, 2669, 1317, 646, 18387, 1406, 1044, 2111, 547, 20630, 5128, 538, 1010, 4835, 4655, 269, 901, 31061, 519, 804, 7865, 268, 968, 3080, 779, 6574, 10546, 568, 1100, 824, 982, 13951, 9731, 3674, 17283, 513, 5869, 1557, 888, 288, 5869, 568, 513, 1268, 945, 568, 25343, 610, 4998, 1242, 585, 10100, 267, 14222, 10781, 267, 610, 15626, 7907, 269, 634, 1292, 16502, 17283, 267, 519, 5067, 540, 6196, 3751, 17283, 267, 568, 519, 5869, 1317, 646, 568, 10995, 543, 29752, 269, 769, 2920, 476, 274, 267, 6429, 476, 274, 540, 519, 1404, 267, 17283, 568, 827, 547, 6146, 19863, 3780, 609, 1010, 18156, 563, 1432, 2306, 513, 13249, 5869, 888, 288, 13249, 5869, 568, 513, 1826, 540, 1915, 538, 513, 13357, 267, 543, 568, 2356, 519, 16502, 269, 3004, 11551, 12325, 3335, 723, 24123, 7592, 602, 7118, 873, 519, 29059, 540, 519, 5304, 267, 855, 849, 723, 20924, 610, 1118, 9073, 602, 6038, 1291, 547, 741, 1378, 31774, 269, 769, 9956, 779, 19151, 543, 19201, 267, 19151, 568, 513, 13249, 5869, 563, 8005, 568, 519, 1483, 5636, 664, 538, 17283, 888, 290, 5055, 644, 3780, 290, 5055, 644, 3780, 568, 519, 3119, 21087, 626, 538, 17283, 269, 1261, 555, 342, 11301, 17283, 676, 11318, 1010, 4651, 269, 1656, 950, 646, 721, 584, 1186, 519, 20636, 17599, 267, 19863, 3780, 3954, 625, 17283, 519, 2104, 602, 1318, 2685, 12851, 547, 1864, 269, 19863, 3780, 10123, 9933, 919, 17283, 676, 2261, 11538, 1010, 3993, 267, 717, 1068, 337, 8775, 563, 3674, 17283, 1434, 610, 9409, 888, 1103, 519, 4098, 267, 646, 568, 513, 1434, 19036, 543, 513, 1134, 15197, 5067, 267, 543, 1287, 1010, 4651, 779, 15293, 267, 945, 538, 1250, 1378, 4555, 666, 581, 606, 9409, 15293, 267, 4051, 338, 1864, 602, 1010, 11515, 23689, 1864, 269, 2560, 17283, 1287, 3587, 9663, 1190, 543, 6238, 547, 14764, 513, 1544, 547, 12638, 19863, 3780, 538, 3579, 1973, 563, 1432, 568, 519, 4214, 540, 513, 13249, 16950, 888, 281, 513, 16950, 538, 1915, 602, 6770, 827, 519, 31774, 540, 519, 5869, 540, 513, 13357, 563, 1432, 616, 8423, 7410, 9342, 888, 2467, 568, 1100, 8969, 602, 17283, 19299, 1082, 9342, 799, 649, 23507, 1107, 646, 568, 630, 272, 264, 15626, 267, 12703, 267, 10995, 267, 10121, 543, 1434, 269, 1717, 607, 519, 1404, 4422, 593, 1010, 12755, 10836, 269, 1261, 568, 3500, 547, 957, 607, 646, 11148, 547, 936, 1589, 3388, 543, 646, 4749, 561, 10449, 856, 1996, 1346, 945, 723, 20729, 539, 1864, 563, 1432, 568, 519, 5837, 3992, 538, 17283, 888, 2108, 302, 17847, 267, 1141, 568, 16815, 1025, 2313, 9495, 17283, 934, 4926, 1010, 3993, 540, 9117, 695, 600, 6804, 569, 538, 2261, 11538, 1010, 1133, 2193, 538, 678, 8775, 554, 4292, 1310, 519, 2669, 540, 1010, 4651, 269, 1809, 519, 5168, 568, 3025, 538, 17283, 6411, 695, 600, 6804, 569, 543, 585, 721, 519, 5837, 540, 519, 1404, 568, 519, 2504, 540, 17847, 538, 922, 5304, 269, 3502, 1932, 1454, 267, 1175, 2614, 563, 3963, 568, 17283, 513, 13249, 5869, 888, 1103, 17283, 267, 9956, 3096, 519, 32333, 543, 7972, 547, 1118, 519, 1404, 513, 13357, 282, 17283, 568, 513, 13249, 5869, 1317, 646, 568, 513, 1268, 540, 1164, 7584, 945, 26991, 513, 1876, 267, 543, 646, 13514, 513, 3463, 547, 2486, 543, 3123, 7092, 547, 1866, 998, 3423, 908, 519, 1876, 267, 799, 616, 782, 4162, 540, 513, 13249, 5869, 563, 3674, 17283, 513, 13249, 5869, 610, 711, 888, 295, 600, 2280, 568, 835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 4367, 540, 13044, 268, 866, 9993, 1472, 519, 1158, 1185, 513, 5458, 1764, 593, 5769, 6808, 269, 4658, 616, 2228, 811, 4749, 543, 585, 3476, 269, 24641, 538, 968, 7538, 2053, 892, 972, 729, 513, 2462, 3017, 538, 519, 2179, 540, 1239, 6808, 1063, 3018, 17058, 543, 32300, 267, 519, 4320, 814, 1044, 1377, 1782, 269, 11473, 1476, 17182, 6808, 814, 2799, 2527, 1947, 855, 11148, 547, 6749, 593, 519, 15964, 1107, 2705, 267, 713, 568, 9104, 730, 585, 676, 9913, 971, 607, 18297, 7044, 543, 2228, 11080, 563, 6124, 569, 3370, 1382, 968, 763, 24522, 6658, 6356, 281, 20480, 540, 519, 5046, 268, 866, 17455, 2438, 593, 5769, 29853, 5608, 1031, 1239, 689, 513, 3309, 1305, 540, 642, 656, 720, 2798, 547, 4983, 519, 1198, 540, 519, 9376, 23957, 593, 6808, 10593, 269, 634, 1239, 2982, 875, 519, 6808, 4320, 2799, 676, 476, 1428, 268, 736, 260, 3592, 1369, 513, 3018, 269, 2755, 713, 1522, 3280, 16434, 267, 713, 13054, 513, 1804, 2333, 1369, 713, 2110, 942, 1974, 563, 4462, 16308, 543, 4028, 6808, 10593, 1107, 875, 1705, 519, 5769, 11883, 888, 8601, 713, 10006, 267, 519, 5769, 5989, 568, 2111, 547, 6023, 519, 1007, 4320, 267, 607, 1034, 6808, 10593, 2049, 3544, 540, 2757, 8445, 3108, 269, 2755, 1082, 5121, 1294, 2799, 6808, 7569, 267, 3226, 1346, 3246, 2533, 547, 10821, 3755, 267, 930, 5121, 723, 4810, 2101, 2949, 11081, 269, 8281, 519, 1353, 547, 1265, 856, 875, 519, 5769, 2941, 539, 609, 519, 31305, 543, 4028, 6808, 10593, 269, 0, 2005, 568, 3254, 875, 835, 666, 17589, 519, 25317, 540, 513, 8701, 1242, 19650, 2627, 689, 26464, 32721, 269, 634, 5135, 19650, 568, 6594, 607, 606, 1383, 269, 589, 27526, 638, 626, 6516, 568, 9112, 585, 519, 2013, 602, 519, 19650, 29377, 676, 9211, 1152, 267, 543, 519, 23386, 29377, 676, 5135, 12274, 610, 7477, 17473, 269, 634, 19650, 2627, 8309, 547, 519, 6516, 609, 1079, 10859, 2275, 597, 3380, 269, 2290, 10859, 2275, 22511, 568, 1813, 547, 2504, 540, 16702, 3421, 689, 23455, 5523, 5135, 8444, 269, 634, 824, 568, 1813, 547, 519, 16702, 1961, 4090, 540, 519, 9357, 3887, 937, 1258, 8559, 6292, 563, 763, 1699, 6609, 540, 513, 5250, 1591, 1210, 9039, 638, 10329, 32721, 454, 326, 1161, 606, 2949, 4605, 269, 898, 1281, 711, 2015, 519, 7180, 540, 519, 2837, 2676, 23755, 1761, 543, 3167, 1761, 12725, 269, 4935, 621, 568, 15458, 1141, 2837, 454, 663, 1761, 1689, 538, 519, 1591, 269, 3657, 891, 9424, 19944, 6681, 693, 519, 19650, 454, 31162, 5865, 267, 543, 952, 9811, 281, 875, 713, 1058, 581, 4330, 269, 4635, 2409, 2919, 538, 938, 454, 792, 17067, 960, 649, 1459, 971, 513, 2199, 6609, 269, 589, 11186, 3830, 568, 6508, 454, 663, 12193, 585, 519, 1098, 12401, 11664, 540, 519, 6070, 538, 519, 23386, 1063, 519, 454, 19491, 549, 9188, 269, 21940, 776, 2175, 616, 1898, 585, 713, 3483, 563, 2171, 17589, 519, 25317, 585, 519, 7250, 19650, 538, 519, 12249, 9245, 4492, 1591, 689, 26464, 32721, 269, 634, 2164, 3589, 513, 2627, 9295, 547, 519, 1591, 25317, 602, 666, 2285, 1079, 10859, 2275, 597, 3380, 538, 519, 27526, 638, 626, 6516, 269, 634, 6697, 5547, 540, 519, 25317, 568, 3254, 269, 634, 1164, 23151, 9295, 568, 4448, 547, 519, 14251, 566, 540, 16702, 3421, 9967, 540, 1863, 10997, 538, 519, 2627, 267, 1247, 519, 1970, 23151, 9295, 568, 4448, 547, 519, 6850, 23755, 5114, 269, 901, 666, 581, 6045, 676, 513, 7444, 21363, 23442, 10647, 12249, 3060, 693, 519, 5114, 3135, 563, 2171, 4983, 519, 1966, 540, 1648, 18026, 2504, 538, 606, 4853, 1184, 269, 1635, 1648, 18026, 649, 1611, 5934, 23811, 2504, 269, 1284, 946, 519, 7872, 547, 23799, 25572, 519, 2504, 538, 1114, 2053, 610, 2694, 540, 519, 1062, 585, 513, 2016, 2698, 2504, 267, 543, 1397, 602, 513, 3892, 267, 602, 16491, 691, 1431, 519, 12045, 540, 519, 2199, 23811, 2504, 2557, 609, 2463, 547, 519, 2199, 2504, 267, 24024, 519, 23811, 2504, 269, 4982, 760, 691, 819, 538, 942, 10522, 19335, 1533, 2504, 269, 4982, 760, 691, 819, 538, 2230, 10522, 2504, 585, 513, 2016, 2990, 4830, 3196, 269, 634, 1482, 3586, 12045, 540, 519, 2199, 23811, 2504, 2557, 568, 1336, 952, 3283, 5688, 3278, 519, 2504, 585, 513, 2016, 2698, 23811, 2504, 563, 5141, 846, 540, 11466, 519, 16491, 691, 819, 2783, 568, 1336, 547, 2569, 547, 519, 568, 334, 4403, 6240, 269, 4329, 689, 11466, 267, 713, 5786, 568, 6905, 547, 513, 2898, 1362, 540, 22357, 13441, 268, 4403, 1894, 269, 1284, 1397, 602, 267, 950, 835, 4679, 519, 2698, 2504, 267, 519, 23811, 2504, 829, 1770, 3812, 6238, 547, 2333, 31085, 267, 607, 513, 1599, 540, 713, 2698, 2504, 563, 2005, 568, 3254, 799, 1184, 2175, 2285, 606, 19993, 2619, 609, 606, 16491, 691, 819, 540, 519, 23811, 2504, 2557, 269, 1215, 713, 12211, 547, 519, 568, 334, 4403, 6240, 568, 5941, 269, 769, 2489, 10148, 593, 1184, 2175, 6615, 519, 5191, 547, 11126, 267, 543, 4061, 1118, 621, 7543, 547, 29311, 519, 1034, 15028, 2175, 269, 634, 2956, 540, 519, 744, 985, 4526, 1894, 585, 519, 9836, 6609, 540, 519, 11938, 568, 5941, 563, 1607, 1957, 13000, 519, 2241, 1383, 540, 8022, 513, 1062, 689, 513, 2016, 3355, 547, 513, 2016, 3803, 2837, 609, 5934, 23811, 2504, 269, 634, 4847, 1852, 585, 519, 1184, 568, 519, 5542, 540, 918, 5210, 585, 13591, 3002, 31725, 269, 634, 1966, 568, 18481, 2241, 547, 1450, 25107, 4485, 543, 649, 5635, 519, 6099, 3070, 609, 519, 3070, 11311, 676, 3160, 5687, 17871, 3845, 630, 4953, 291, 1040, 1284, 1265, 602, 21180, 291, 14626, 1938, 609, 519, 19993, 952, 519, 3002, 4390, 568, 3586, 269, 1280, 513, 2837, 323, 8817, 3002, 4390, 267, 21180, 291, 1821, 28179, 689, 519, 3169, 19993, 269, 21180, 291, 2705, 13292, 519, 6099, 3070, 547, 2034, 1931, 538, 476, 272, 270, 298, 269, 0, 11764, 1067, 4804, 602, 10163, 2803, 18696, 543, 30216, 16721, 585, 519, 3427, 5729, 454, 27645, 2992, 593, 2500, 4832, 2994, 585, 1312, 1565, 543, 11005, 454, 7628, 713, 2250, 5614, 267, 7855, 2066, 519, 2197, 9862, 547, 513, 3395, 1305, 540, 1007, 2591, 602, 1413, 547, 3136, 883, 519, 476, 1708, 271, 268, 2641, 4081, 1032, 269, 769, 851, 835, 543, 1079, 267, 5722, 10026, 1153, 3610, 267, 1142, 540, 7247, 568, 851, 540, 519, 476, 1708, 271, 1362, 540, 23448, 867, 2435, 30451, 3957, 676, 15099, 4889, 919, 267, 10630, 593, 741, 1034, 12300, 543, 3811, 8090, 689, 513, 14053, 5614, 19496, 269, 6423, 811, 8086, 543, 4030, 593, 4832, 2994, 4294, 676, 891, 1482, 14222, 3610, 538, 519, 3791, 851, 540, 713, 2376, 3126, 912, 1692, 666, 3610, 946, 519, 4832, 2736, 547, 5965, 585, 519, 1007, 1153, 1032, 888, 275, 628, 3446, 4116, 454, 24730, 21969, 577, 16504, 3427, 267, 4639, 3933, 19172, 267, 5487, 563, 1607, 4832, 267, 594, 723, 1044, 3843, 547, 1589, 3544, 519, 4216, 950, 31935, 875, 1250, 4928, 786, 1413, 543, 519, 5773, 547, 2322, 538, 1747, 585, 519, 14232, 1153, 1032, 269, 594, 2307, 8885, 267, 3079, 540, 2146, 7727, 267, 875, 786, 594, 10891, 1367, 7727, 286, 1548, 786, 621, 1413, 899, 585, 1250, 1053, 547, 979, 547, 519, 19880, 1247, 9363, 513, 2922, 3845, 6306, 286, 1215, 786, 594, 6451, 3350, 538, 1250, 3992, 1247, 4509, 1514, 26865, 4808, 286, 1548, 5773, 616, 519, 1034, 1271, 547, 4001, 519, 1101, 1554, 286, 1879, 786, 594, 24846, 1125, 2835, 1310, 1453, 1224, 873, 888, 296, 4076, 849, 1044, 3206, 827, 1250, 2228, 6044, 543, 1018, 621, 786, 1413, 899, 952, 594, 723, 547, 4001, 12303, 2407, 942, 269, 594, 723, 15548, 538, 5691, 3318, 1646, 936, 519, 4832, 547, 2087, 1250, 2228, 6044, 269, 1879, 594, 6026, 12303, 538, 519, 5614, 267, 594, 2907, 1185, 1134, 28004, 3347, 609, 1250, 1053, 267, 4051, 532, 873, 593, 875, 547, 1569, 1114, 2228, 3292, 269, 3194, 532, 1114, 2228, 2326, 543, 10916, 875, 3562, 7044, 585, 1250, 1053, 2306, 803, 1745, 1732, 5423, 952, 594, 723, 547, 3533, 1689, 1250, 6044, 547, 606, 782, 8686, 23709, 4259, 563, 276, 628, 3446, 4116, 454, 292, 3149, 773, 9652, 16504, 3427, 267, 12390, 1478, 5244, 267, 7629, 563, 3086, 602, 649, 4076, 6170, 930, 942, 21363, 1310, 938, 21173, 1439, 540, 519, 1032, 267, 4832, 2736, 568, 513, 1390, 942, 547, 1376, 8600, 585, 519, 1007, 1032, 269, 2290, 540, 519, 1101, 1919, 594, 798, 568, 2673, 856, 1250, 2063, 1032, 779, 5049, 593, 5616, 15858, 269, 594, 1118, 2386, 3388, 814, 1044, 968, 339, 29354, 1394, 892, 547, 1250, 1053, 267, 547, 1683, 9562, 547, 873, 267, 543, 1287, 594, 21287, 621, 563, 296, 2253, 4259, 909, 1250, 13460, 585, 1985, 1032, 1510, 18136, 1053, 2394, 5022, 723, 1044, 2366, 1753, 269, 594, 5965, 8885, 585, 519, 1007, 1153, 1032, 676, 2469, 998, 1250, 4757, 543, 1250, 5397, 269, 1284, 946, 5616, 20000, 543, 717, 21166, 538, 938, 8664, 267, 543, 594, 4076, 1044, 18111, 1154, 543, 2895, 1516, 15737, 269, 594, 979, 998, 6119, 593, 1250, 20000, 543, 6430, 519, 3283, 547, 1832, 267, 21287, 267, 610, 18419, 269, 594, 723, 711, 2141, 2944, 602, 267, 855, 676, 3257, 621, 519, 2250, 1906, 1296, 267, 594, 4076, 1044, 2111, 547, 1118, 513, 1454, 23704, 5912, 883, 519, 1007, 1153, 1032, 269, 594, 849, 1305, 909, 1250, 32766, 585, 519, 1007, 1032, 269, 594, 723, 513, 3446, 1377, 17835, 267, 543, 3330, 602, 17835, 267, 594, 723, 519, 1699, 1153, 1032, 269, 8307, 6119, 547, 581, 1031, 713, 1032, 786, 979, 538, 972, 269, 1280, 6119, 538, 824, 32766, 602, 616, 1031, 1032, 1310, 1032, 282, 594, 1118, 2386, 547, 1118, 513, 30246, 538, 1250, 1153, 1032, 17835, 563, 9336, 1032, 938, 8664, 12662, 593, 513, 14400, 5303, 12333, 4886, 267, 543, 594, 2119, 547, 4001, 835, 610, 1079, 5049, 269, 1717, 267, 713, 1032, 267, 1317, 540, 3450, 20716, 267, 594, 2877, 930, 29987, 585, 8885, 543, 4956, 1175, 547, 581, 519, 2875, 269, 3776, 8664, 3091, 513, 3099, 540, 2029, 5049, 267, 1433, 2090, 267, 29260, 5126, 1362, 267, 543, 4830, 2090, 269, 594, 9896, 909, 585, 5049, 538, 2127, 594, 5433, 594, 2877, 547, 798, 513, 4514, 4685, 269, 5303, 2501, 7168, 2653, 585, 803, 267, 855, 2921, 930, 540, 519, 5049, 6488, 539, 803, 519, 942, 547, 2259, 543, 2992, 593, 875, 594, 1131, 946, 930, 540, 519, 3292, 609, 1250, 1053, 543, 538, 1018, 4390, 563, 11764, 1067, 568, 519, 3501, 942, 547, 2119, 930, 3292, 856, 269, 1703, 616, 1082, 13334, 7044, 267, 1004, 547, 1246, 593, 17749, 267, 610, 1256, 1631, 28607, 27717, 1631, 547, 2671, 2370, 4030, 269, 4746, 267, 713, 568, 513, 1390, 942, 547, 2992, 593, 707, 1378, 3450, 2259, 543, 2307, 3054, 1018, 596, 991, 547, 1451, 547, 1831, 513, 1732, 4116, 585, 707, 1053, 269, 898, 779, 606, 5140, 942, 547, 1246, 930, 1004, 593, 17749, 267, 1129, 909, 585, 930, 3318, 1646, 1373, 6035, 267, 4585, 7044, 610, 1256, 1289, 513, 26393, 267, 543, 2307, 952, 596, 1223, 28652, 610, 5616, 20821, 609, 873, 547, 2671, 930, 2093, 269, 3883, 2090, 616, 1776, 1390, 4316, 547, 2671, 1007, 2093, 543, 24866, 563, 296, 1745, 782, 3610, 1058, 581, 5329, 909, 609, 519, 5767, 3621, 543, 2564, 4808, 602, 723, 2097, 909, 689, 519, 15509, 543, 4570, 2564, 13746, 269, 1284, 1058, 581, 5483, 2043, 267, 543, 1175, 899, 649, 4001, 938, 1053, 267, 1118, 2386, 1018, 649, 616, 2542, 568, 689, 513, 23674, 2707, 269, 898, 779, 849, 1898, 547, 1832, 909, 609, 1533, 7840, 269, 3776, 13325, 3557, 8274, 540, 4065, 814, 2366, 856, 4808, 585, 3506, 267, 543, 4867, 267, 594, 6557, 2542, 621, 547, 1831, 811, 5483, 607, 606, 19829, 563, 11764, 1067, 568, 938, 942, 547, 1694, 1394, 543, 6001, 269, 2060, 865, 1082, 540, 721, 7680, 3251, 27408, 25571, 9753, 547, 581, 2922, 543, 2149, 938, 3885, 267, 621, 779, 519, 3501, 942, 547, 2992, 593, 519, 2164, 540, 6552, 1565, 607, 606, 19829, 269, 898, 779, 606, 5140, 942, 547, 6430, 1018, 547, 1832, 267, 1689, 267, 1451, 543, 2119, 609, 707, 1053, 1985, 1032, 547, 3142, 1967, 3330, 543, 3544, 519, 4928, 563, 276, 628, 3446, 4116, 454, 303, 601, 5069, 744, 6545, 16504, 3427, 267, 19994, 5069, 267, 1325, 320, 563, 2467 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 3500, 610, 6417, 5305, 563, 2691, 7446, 606, 22803, 13226, 267, 596, 786, 5469, 972, 616, 2338, 593, 519, 11183, 269, 1403, 596, 979, 547, 519, 3896, 540, 519, 9409, 1085, 582, 1206, 13226, 2754, 610, 8197, 1034, 13226, 3549, 267, 596, 666, 1265, 741, 13226, 16131, 269, 674, 23459, 6500, 568, 20057, 1194, 2059, 519, 5011, 540, 9343, 543, 530, 23926, 883, 519, 3037, 630, 14808, 563, 2467, 616, 1082, 13226, 3681, 256, 32279, 267, 2523, 950, 5613, 1106, 269, 898, 6770, 596, 21199, 685, 333, 3049, 267, 513, 13226, 4998, 585, 4829, 267, 10448, 267, 543, 16603, 2371, 563, 2690, 713, 2601, 267, 513, 13226, 3498, 8430, 585, 1142, 1826, 540, 2030, 568, 606, 2500, 1907, 269, 1323, 2038, 949, 13003, 4266, 786, 2154, 513, 27095, 5324, 610, 2038, 15292, 694, 5338, 269, 1703, 779, 1100, 11544, 3238, 267, 789, 616, 2653, 547, 4163, 543, 4558, 267, 543, 2241, 547, 4019, 563, 763, 13226, 8430, 568, 5258, 883, 1079, 2694, 281, 590, 3660, 7675, 4679, 519, 6556, 540, 1034, 5388, 269, 2290, 540, 519, 1655, 2081, 547, 6992, 1125, 10448, 2371, 538, 519, 4677, 610, 538, 11149, 568, 609, 513, 5277, 3498, 540, 13226, 563, 16032, 13226, 585, 10448, 10651, 281, 1215, 547, 946, 10448, 4677, 13226, 5750, 281, 17859, 540, 519, 1826, 540, 13226, 596, 946, 267, 6451, 13226, 4433, 264, 8499, 1369, 519, 1283, 1906, 6279, 540, 3037, 1354, 9544, 563, 2005, 5713, 513, 5595, 3483, 269, 1306, 513, 3020, 22890, 267, 621, 2337, 547, 10038, 3037, 5210, 543, 1832, 12721, 18047, 693, 513, 5934, 269, 1924, 267, 1449, 5781, 547, 1118, 519, 1034, 540, 707, 6992, 1944, 563, 8170, 13226, 829, 476, 1911, 271, 13483, 269, 4107, 5388, 4782, 513, 5594, 15755, 547, 9243, 943, 2039, 540, 476, 277, 269, 271, 547, 476, 278, 269, 271, 269, 5410, 476, 272, 29537, 540, 552, 1186, 558, 20919, 547, 476, 272, 20645, 540, 1216, 547, 519, 3490, 540, 1142, 2030, 547, 563, 763, 2034, 2601, 649, 899, 547, 946, 13226, 568, 519, 705, 2830, 640, 547, 723, 1732, 12557, 950, 11125, 908, 2371, 269, 0, 5475, 519, 4708, 14097, 538, 476, 9873, 275, 602, 8694, 513, 3126, 540, 27245, 3540, 10617, 267, 519, 900, 30752, 540, 519, 962, 10224, 15913, 941, 909, 18988, 607, 519, 22194, 4279, 16679, 630, 298, 327, 12298, 264, 540, 519, 3152, 27245, 7276, 936, 824, 27245, 16679, 919, 267, 799, 20866, 7283, 632, 1249, 334, 14628, 269, 634, 5736, 729, 1634, 607, 623, 1314, 27245, 3821, 267, 950, 1454, 540, 519, 7489, 11782, 729, 12199, 676, 519, 15216, 11169, 269, 1280, 519, 1101, 543, 1152, 942, 538, 1686, 267, 519, 16536, 4155, 729, 6417, 7357, 676, 513, 2582, 1533, 267, 14123, 519, 2095, 540, 1004, 267, 4123, 267, 543, 2686, 5385, 269, 8416, 540, 9897, 543, 513, 2022, 531, 1062, 941, 3964, 547, 1921, 519, 5318, 10504, 269, 12359, 13577, 17535, 4123, 267, 2919, 689, 519, 3105, 14576, 15913, 267, 4797, 547, 21707, 267, 609, 2372, 11961, 17924, 543, 670, 836, 345, 17924, 6932, 607, 519, 4102, 16788, 538, 519, 1158, 269, 13491, 24854, 17631, 689, 519, 2484, 7178, 267, 1034, 16113, 519, 10469, 564, 1014, 267, 3057, 1723, 2717, 334, 267, 1131, 723, 12306, 538, 3624, 585, 5756, 269, 16270, 1010, 2132, 267, 1010, 1469, 2951, 2594, 6273, 5481, 540, 10120, 17417, 609, 519, 26672, 832, 540, 519, 2484, 5101, 269, 634, 962, 10224, 15913, 729, 519, 1101, 3504, 4346, 267, 1141, 1957, 9304, 267, 1634, 693, 519, 942, 607, 808, 807, 5255, 7776, 267, 729, 1031, 607, 519, 12880, 5420, 540, 5385, 269, 4706, 19727, 24071, 1615, 340, 766, 538, 519, 3735, 962, 10224, 15913, 1102, 21719, 5409, 8882, 3175, 267, 799, 5555, 4547, 519, 31774, 540, 519, 15913, 269, 22337, 660, 1144, 932, 3626, 568, 1753, 547, 9682, 8371, 540, 519, 5842, 24527, 3626, 6019, 7732, 543, 932, 3530, 5674, 7991, 5441, 267, 519, 932, 3626, 7991, 20989, 267, 519, 932, 3626, 13340, 532, 11833, 543, 513, 12353, 10787, 1067, 781, 10369, 269, 769, 476, 1220, 279, 267, 519, 2749, 540, 932, 3626, 729, 13752, 519, 20380, 834, 1911, 7454, 18877, 585, 15272, 257, 8366, 585, 519, 2034, 942, 538, 1614, 1296, 269, 932, 3626, 18799, 15246, 2621, 585, 519, 476, 2735, 275, 14400, 21396, 693, 519, 623, 2784, 334, 16727, 1744, 17415, 5244, 538, 519, 623, 2784, 334, 13636, 5244, 269, 634, 2494, 577, 639, 24451, 513, 1412, 28255, 1931, 10086, 16550, 12390, 4457, 2367, 547, 9772, 519, 2494, 32627, 20313, 688, 1009, 1803, 269, 12079, 10118, 941, 2838, 547, 5957, 2494, 32627, 16654, 7802, 26284, 3333, 534, 630, 321, 2335, 1069, 523, 10571, 543, 19358, 345, 16852, 836, 1070, 855, 8723, 12390, 21127, 941, 4847, 547, 5957, 2757, 12390, 7802, 269, 645, 2335, 1069, 523, 1223, 711, 22738, 4123, 610, 8261, 4074, 282, 789, 1185, 547, 21936, 547, 581, 6569, 689, 7333, 1676, 4567, 269, 1358, 941, 2808, 513, 1106, 540, 28665, 543, 941, 2016, 5993, 533, 5014, 267, 2244, 267, 543, 28286, 906, 540, 12308, 7868, 918, 836, 3495, 14890, 10288, 519, 5137, 540, 519, 918, 836, 3495, 9218, 267, 519, 1034, 2347, 8675, 540, 4457, 3197, 602, 1185, 1044, 16432, 269, 769, 476, 3192, 273, 267, 693, 519, 8445, 540, 519, 590, 3626, 4149, 990, 2884, 8237, 267, 31474, 543, 31481, 2037, 331, 2967, 1558, 2475, 7022, 9400, 29337, 538, 19864, 547, 3715, 1894, 609, 519, 2136, 2276, 269, 769, 519, 1482, 1032, 267, 519, 11553, 290, 729, 15861, 547, 519, 2136, 8315, 538, 1747, 540, 519, 6243, 540, 3624, 267, 609, 8628, 15376, 540, 519, 8232, 7027, 269, 962, 10224, 781, 2669, 538, 476, 4489, 277, 2451, 513, 1379, 12511, 282, 519, 14081, 534, 2229, 729, 782, 855, 695, 13593, 269, 901, 8118, 519, 1259, 585, 519, 2782, 331, 867, 16527, 267, 1282, 799, 1454, 540, 3624, 729, 12199, 676, 13346, 5755, 1431, 540, 12721, 21621, 4108, 3401, 543, 519, 2142, 12011, 836, 2229, 269, 25827, 338, 267, 25922, 538, 519, 5821, 540, 519, 6243, 267, 9250, 519, 1715, 9177, 11873, 563, 3519, 11437, 568, 2944, 998, 513, 1305, 540, 1915, 7503, 7515, 602, 949, 581, 12995, 676, 16984, 269, 1677, 1683, 606, 4244, 1797, 547, 11745, 1125, 519, 3197, 950, 519, 7746, 20933, 4780, 1562, 3111, 547, 960, 5265, 267, 513, 2027, 10959, 729, 2813, 547, 16924, 6460, 3197, 543, 2376, 10643, 538, 835, 1808, 2985, 269, 3624, 630, 18809, 18713, 377, 282, 11809, 16230, 978, 7666, 6759, 1070, 13166, 1634, 607, 519, 11809, 16230, 333, 724, 340, 5451, 681, 26408, 332, 27713, 717, 383, 366, 333, 724, 2946, 7666, 6759, 264, 568, 513, 5458, 2197, 538, 8109, 5607, 630, 12671, 519, 1482, 2450, 607, 519, 2136, 2276, 540, 3013, 264, 609, 519, 1158, 781, 4102, 2551, 9603, 547, 519, 11786, 2470, 540, 519, 15990, 781, 2797, 4567, 267, 519, 681, 8016, 568, 4867, 6444, 676, 476, 1691, 6167, 4759, 2829, 543, 10513, 6423, 607, 540, 476, 1708, 271, 607, 519, 16048, 2229, 540, 834, 19770, 2668, 7216, 538, 519, 11204, 1700, 13563, 2782, 267, 519, 11135, 540, 932, 3626, 3576, 1747, 693, 13879, 262, 10443, 11155, 269, 634, 6370, 8694, 1991, 547, 519, 12625, 540, 519, 30963, 15506, 30119, 267, 771, 6312, 3481, 593, 15773, 540, 519, 2136, 2276, 267, 945, 3079, 2978, 1819, 538, 519, 10443, 11155, 781, 6694, 7556, 543, 9112, 513, 1989, 626, 1984, 269, 4432, 1425, 545, 1470, 11815, 3726, 334, 632, 5616, 911, 706, 576, 8216, 5451, 928, 3512, 324, 5493, 629, 6652, 267, 9992, 1162, 586, 533, 5451, 6265, 553, 1357, 1642, 1965, 11985, 10722, 565, 513, 544, 27222, 632, 476, 1911, 18986, 5557, 586, 13030, 951, 320, 454, 6097, 547, 519, 476, 1001, 271, 2136, 2276, 17227, 267, 932, 3626, 1185, 513, 11667, 7622, 4747, 540, 1269, 10170, 267, 6858, 272, 267, 609, 476, 280, 269, 277, 260, 540, 519, 2551, 2713, 2630, 519, 5313, 6710, 1899, 269, 2060, 519, 4473, 540, 5375, 2804, 543, 4108, 1379, 4098, 538, 519, 4571, 268, 866, 628, 2540, 267, 1875, 16644, 4042, 1949, 540, 1514, 543, 2797, 3919, 6591, 740, 6254, 338, 538, 3624, 269, 2368, 540, 891, 1131, 15515, 6963, 619, 11207, 15653, 3624, 781, 2686, 9371, 267, 1247, 1866, 8179, 547, 9192, 519, 9342, 540, 4457, 543, 5375, 4529, 269, 769, 9759, 267, 519, 1686, 540, 476, 736, 628, 10601, 3624, 568, 835, 540, 17634, 609, 1007, 1949, 540, 1514, 267, 2797, 267, 543, 2804, 3919, 602, 1131, 1450, 585, 519, 556, 15759, 1674, 540, 519, 4182, 538, 519, 12687, 540, 30552, 2880, 12900, 269, 313, 327, 16230, 978, 7666, 6759, 3357, 547, 4013, 946, 607, 606, 28008, 585, 519, 6243, 540, 3624, 630, 313, 327, 517, 724, 7699, 631, 3907, 334, 264, 1310, 519, 2229, 781, 10661, 538, 476, 4489, 273, 269, 4595, 519, 4658, 781, 6243, 540, 3624, 267, 3964, 538, 476, 3707, 280, 267, 1631, 8060, 519, 1390, 5354, 540, 519, 1858, 7854, 539, 1369, 519, 2757, 1523, 540, 834, 19770, 2580, 519, 4658, 781, 6243, 568, 519, 2797, 1770, 1034, 4122, 4857, 609, 519, 28484, 2012, 11809, 16230, 978, 7666, 6759, 16804, 333, 321, 476, 276, 316, 594, 2549, 3502, 28514, 2060, 901, 269, 7348, 2353, 269, 4457, 6875, 268, 11073, 630, 4462, 24140, 550, 334, 669, 3626, 1040, 476, 1001, 272, 269, 5410, 9137, 269, 10748, 1466, 17352, 585, 4457, 6875, 268, 11073, 630, 4462, 24140, 550, 334, 669, 3626, 994, 6097, 547, 513, 5619, 5342, 1063, 4989, 476, 1001, 271, 543, 4728, 476, 1001, 272, 267, 1196, 1080, 547, 519, 4457, 9504, 941, 476, 4391, 269, 279, 260, 689, 15990, 267, 476, 2918, 269, 273, 260, 689, 15173, 15158, 267, 476, 1704, 269, 278, 260, 689, 6301, 1633, 3624, 267, 476, 277, 269, 272, 260, 689, 2136, 2276, 543, 476, 273, 269, 274, 260, 689, 4516, 269, 25230, 22675, 729, 519, 4013, 6138, 2429, 1034, 540, 15875, 3624, 781, 1686, 267, 543, 17117, 540, 25230, 534, 5931, 729, 519, 3119, 21205, 585, 7127, 883, 519, 11440, 29904, 6483, 269, 3624, 781, 2757, 2418, 941, 6508, 689, 1585, 8747, 540, 25230, 22675, 269, 589, 1297, 540, 811, 28974, 12490, 540, 2219, 723, 849, 1044, 9565, 267, 971, 607, 13751, 1143, 269, 1703, 729, 1419, 4655, 1063, 519, 24866, 267, 552, 3052, 269, 519, 14576, 19092, 32286, 268, 3519, 14673, 857, 753, 5156, 13751, 1143, 8977, 539, 689, 519, 3312, 6891, 540, 25230, 22675, 269, 1401, 3133, 725, 543, 513, 2528, 540, 20519, 2611, 7494, 12595, 538, 3624, 2221, 269, 769, 2487, 1296, 267, 513, 1297, 540, 1715, 25230, 753, 630, 2254, 547, 581, 11821, 609, 32286, 268, 3519, 14673, 857, 22675, 264, 723, 23647, 602, 11180, 16431, 543, 1480, 2924, 616, 3833, 15095, 609, 2757, 25230, 534, 834, 2026, 1014, 2418, 8487, 5475, 922, 11802, 538, 519, 4457, 6406, 2782, 267, 519, 19797, 9549, 540, 3624, 630, 6717, 303, 264, 3366, 676, 31474, 2098, 539, 784, 6591, 1852, 540, 1034, 540, 6301, 1633, 3624, 269, 2201, 476, 272, 5239, 476, 3707, 280, 267, 789, 3964, 519, 4658, 781, 6243, 540, 3624, 607, 513, 31012, 3557, 18188, 676, 513, 834, 20779, 7095, 667, 1112, 2209, 1222, 257, 609, 519, 595, 9573, 607, 519, 1152, 3656, 2797, 5428, 267, 3976, 267, 18413, 3409, 607, 519, 24288, 1533, 540, 519, 681, 8016, 269, 634, 3844, 2229, 540, 519, 4457, 2817, 626, 9549, 3366, 676, 15616, 836, 918, 2967, 1606, 515, 330, 729, 7142, 547, 18956, 547, 519, 6532, 540, 15990, 602, 621, 1185, 13026, 693, 519, 1439, 540, 2622, 2782, 4083, 267, 543, 6410, 519, 681, 8016, 2229, 972, 269, 11683, 11439, 3984, 1988, 30403, 538, 476, 4198, 271, 855, 1100, 4708, 14097, 814, 1044, 9896, 269, 1323, 6059, 476, 3607, 2929, 5747, 1282, 519, 4279, 4457, 5482, 710, 540, 476, 4198, 279, 1700, 8618, 269, 8777, 9545, 902, 593, 513, 29384, 20933, 1665, 835, 4922, 14092, 1061, 539, 3135, 540, 519, 11135, 540, 4414, 1849, 14554, 267, 2282, 2413, 932, 756, 328, 4975, 538, 670, 4209, 328, 19435, 563, 269, 634, 14117, 5695, 3316, 31052, 542, 13264, 856, 538, 5084, 476, 7277, 267, 721, 17518, 538, 606, 5736, 540, 2112, 331, 3581, 269, 769, 519, 1671, 5224, 24187, 267, 1614, 2829, 6836, 547, 2744, 2392, 7631, 766, 538, 519, 1974, 540, 519, 8422, 3751, 20819, 269, 901, 942, 1974, 814, 1044, 7494, 11509, 1242, 538, 1568, 971, 607, 23620, 540, 519, 8422, 3751, 20819, 269, 2201, 476, 866, 2904, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 307, 15871, 303, 323, 309, 284, 10559, 2765, 23533, 20670, 2410, 309, 348, 323, 309, 2330, 610, 3230, 290, 24449, 323, 315, 15238, 570, 15871, 305, 323, 315, 15238, 966, 15871, 305, 5560, 315, 15238, 570, 1673, 315, 15238, 623, 14638, 1607, 26779, 547, 281, 6695, 2765, 346, 307, 6958, 2410, 307, 10983, 18098, 3847, 7268, 2765, 346, 303, 6958, 2410, 303, 10983, 4153, 2431, 8203, 3189, 2765, 346, 7268, 24472, 268, 272, 264, 7346, 24472, 14990, 32002, 346, 277, 6525, 8074, 689, 4834, 476, 276, 543, 476, 277, 267, 602, 952, 519, 2837, 12753, 616, 519, 1482, 538, 1312, 2665, 630, 16029, 960, 1070, 519, 2604, 12753, 616, 711, 267, 543, 952, 519, 2604, 12753, 616, 519, 1482, 538, 1312, 2665, 267, 1287, 519, 2837, 12753, 616, 711, 630, 2317, 23974, 960, 6393, 1892, 769, 1312, 2665, 1689, 538, 4835, 1648, 1131, 3160, 519, 9588, 540, 960, 286, 2107, 711, 269, 1403, 9811, 1287, 1689, 538, 4835, 1648, 284, 1808, 3002, 693, 3586, 966, 265, 323, 307, 269, 5637, 1131, 723, 519, 1482, 960, 2944, 952, 594, 6785, 519, 7182, 585, 519, 7533, 269, 1290, 7757, 3057, 476, 1704, 267, 476, 1001, 277, 693, 476, 2641, 281, 6860, 454, 1892, 8786, 269, 769, 1312, 2665, 267, 519, 1689, 538, 4835, 1648, 1131, 3160, 519, 9588, 540, 960, 269, 634, 1079, 5666, 540, 960, 1223, 2490, 856, 547, 581, 1114, 543, 519, 1079, 2242, 538, 4835, 1648, 1223, 2490, 856, 547, 581, 1114, 538, 519, 31181, 543, 26464, 2665, 269, 1684, 596, 1616, 803, 547, 798, 513, 31181, 1966, 543, 606, 26464, 1966, 865, 602, 596, 666, 5635, 286, 1403, 11214, 596, 1223, 3196, 519, 960, 543, 4835, 1648, 2242, 538, 519, 1079, 2665, 547, 581, 519, 1482, 267, 519, 3803, 12503, 543, 519, 3803, 12531, 786, 711, 581, 519, 1482, 269, 898, 568, 1454, 4443, 1175, 547, 1305, 909, 1079, 1445, 2042, 585, 6476, 269, 1290, 7757, 3057, 476, 1704, 267, 476, 1001, 277, 693, 476, 2641, 281, 1691, 454, 1892, 1403, 596, 1223, 798, 5094, 2042, 602, 1131, 581, 2731, 15813, 269, 1290, 7757, 3057, 476, 1704, 267, 476, 1001, 277, 693, 476, 2641, 281, 2412, 454, 1892, 594, 3513, 581, 19914, 547, 269, 898, 12582, 1405, 1491, 1454, 269, 594, 3513, 581, 1394, 14182, 6640, 269, 16170, 942, 1631, 269, 1290, 7757, 3057, 476, 1240, 267, 476, 1001, 277, 693, 476, 274, 281, 3607, 454, 1892, 6423, 12995, 4528, 540, 1250, 2626, 269, 1290, 7757, 3057, 476, 1240, 267, 476, 1001, 277, 693, 476, 1724, 281, 5392, 0, 267, 476, 866, 269, 6021, 269, 1001, 280, 476, 1240, 281, 736, 561, 559, 638, 784, 2129, 731, 692, 258, 3026, 806, 17010, 26453, 518, 524, 6759, 15879, 694, 759, 3241, 557, 1965, 334, 11188, 325, 2948, 692, 2162, 6271, 2243, 593, 9119, 692, 12385, 24136, 267, 476, 2641, 269, 6187, 269, 1001, 280, 476, 1724, 281, 1789, 454, 291, 4048, 543, 6749, 519, 4267, 883, 519, 10833, 547, 2347, 713, 13016, 4661, 7713, 875, 547, 17589, 519, 4542, 585, 519, 4320, 540, 513, 13409, 269, 2094, 519, 4320, 540, 513, 13409, 568, 851, 540, 519, 4320, 540, 513, 12718, 609, 519, 1482, 3490, 543, 4463, 267, 1265, 519, 4320, 540, 513, 12718, 1101, 269, 519, 3490, 540, 513, 12718, 568, 513, 5858, 269, 519, 1858, 540, 519, 3490, 540, 513, 12718, 568, 2073, 1141, 678, 4564, 519, 8953, 269, 519, 4320, 540, 513, 12718, 666, 581, 4330, 607, 21100, 540, 519, 3490, 30528, 2390, 1142, 824, 269, 865, 267, 519, 4320, 540, 519, 12718, 666, 581, 1336, 676, 14921, 519, 1858, 540, 519, 5858, 676, 519, 4463, 554, 540, 519, 12718, 269, 519, 4320, 540, 513, 13409, 568, 540, 519, 4320, 540, 513, 12718, 269, 4061, 267, 519, 4542, 585, 519, 4320, 540, 513, 13409, 568, 476, 272, 270, 274, 476, 272, 270, 273, 476, 272, 270, 274, 11027, 337, 317, 273, 327, 476, 272, 270, 273, 11027, 337, 317, 273, 327, 12631, 337, 317, 273, 327, 12631, 337, 317, 273, 454, 12385, 24136, 267, 476, 2641, 269, 6187, 269, 1001, 280, 476, 1428, 281, 876, 454, 9558, 17218, 519, 2262, 8360, 883, 513, 2979, 4082, 269, 476, 1428, 7864, 982, 519, 1587, 540, 476, 275, 543, 513, 1297, 269, 630, 680, 338, 5612, 994, 12385, 24136, 267, 476, 2641, 269, 6187, 269, 1001, 280, 476, 1240, 281, 876, 454, 1692, 1082, 12730, 666, 581, 6537, 609, 2427, 13080, 476, 275, 17744, 267, 476, 275, 269, 276, 17744, 267, 543, 476, 280, 17744, 286, 2491, 0, 10112, 18620, 11762, 13466, 3220, 269, 4569, 5851, 13466, 9612, 3220, 269, 4569, 692, 2162, 19577, 281, 21929, 7117, 543, 7054, 16884, 533, 692, 3499, 14630, 281, 476, 6734, 270, 6734, 270, 1220, 274, 693, 476, 2641, 281, 3607, 281, 2918, 454, 5804, 281, 15952, 517, 454, 20428, 281, 5440, 1108, 692, 3682, 557, 602, 952, 513, 543, 536, 616, 32311, 1023, 267, 1287, 972, 568, 513, 7787, 7117, 543, 606, 454, 597, 16884, 533, 865, 602, 1312, 533, 543, 7117, 616, 1063, 513, 543, 536, 780, 9827, 1384, 3682, 557, 602, 952, 513, 543, 536, 616, 3352, 1674, 1023, 267, 1287, 972, 568, 513, 7787, 7117, 543, 454, 534, 19450, 533, 865, 602, 7117, 543, 533, 616, 1312, 1063, 513, 543, 536, 780, 296, 729, 3206, 621, 1522, 723, 547, 798, 609, 2921, 606, 3328, 610, 7654, 454, 339, 1136, 519, 7787, 543, 8380, 621, 936, 1945, 19450, 1496, 328, 4318, 563, 6912, 263, 273, 264, 4940, 594, 6415, 2731, 711, 2386, 780, 14188, 596, 2336, 7884, 8199, 14630, 281, 476, 6734, 270, 6860, 270, 1220, 274, 693, 476, 6349, 281, 2190, 281, 4097, 454, 5804, 281, 16362, 10496, 13196, 454, 20428, 281, 1234, 281, 5440, 1108, 692, 17098, 15952, 517, 10484, 5575, 1966, 454, 1366, 19030, 4131, 513, 543, 536, 581, 7787, 2338, 267, 609, 513, 2999, 536, 780, 2414, 1265, 513, 7787, 7117, 1063, 513, 543, 536, 267, 707, 2856, 540, 2921, 606, 3328, 454, 529, 2953, 281, 621, 1058, 581, 2653, 547, 6961, 621, 780, 2171, 1616, 849, 547, 1265, 606, 19450, 533, 1063, 513, 543, 536, 780, 2791, 666, 6157, 1265, 606, 19450, 1297, 1063, 476, 271, 543, 476, 272, 630, 1721, 454, 9987, 267, 476, 272, 4882, 5720, 263, 273, 264, 568, 971, 513, 1297, 264, 910, 1289, 602, 1297, 1990, 269, 1280, 2489, 454, 320, 543, 536, 267, 2015, 519, 1599, 1384, 325, 3287, 264, 815, 630, 321, 8584, 32589, 1341, 513, 692, 763, 1448, 568, 602, 535, 7851, 476, 271, 547, 513, 543, 476, 272, 547, 536, 267, 543, 1022, 1297, 1063, 476, 271, 454, 663, 476, 272, 547, 513, 1297, 1063, 513, 543, 536, 269, 769, 1840, 267, 607, 519, 14170, 454, 732, 32311, 1023, 267, 535, 7851, 32311, 1023, 547, 32311, 1023, 543, 3352, 1674, 1023, 547, 454, 597, 1674, 1023, 780, 11854, 32496, 267, 952, 649, 2015, 519, 1297, 476, 272, 4882, 5720, 263, 273, 264, 630, 534, 19450, 454, 24992, 476, 271, 543, 476, 272, 1070, 922, 3239, 786, 581, 1384, 320, 1341, 630, 321, 8584, 31618, 272, 4882, 5720, 263, 273, 11723, 663, 602, 1297, 568, 19450, 543, 1063, 513, 543, 536, 269, 594, 1031, 519, 4484, 454, 345, 1317, 972, 568, 4986, 2027, 609, 476, 272, 4882, 5720, 263, 273, 264, 910, 1022, 19450, 454, 24992, 476, 271, 543, 476, 272, 1131, 798, 780, 13553, 1966, 454, 1366, 19567, 2171, 8263, 1631, 602, 513, 543, 536, 616, 19450, 2338, 267, 609, 513, 2999, 536, 780, 763, 2856, 568, 607, 5205, 1384, 13706, 519, 1305, 540, 2338, 1384, 288, 815, 2715, 333, 29265, 1923, 562, 538, 2098, 10926, 3602, 678, 568, 606, 8870, 3152, 982, 476, 273, 14370, 321, 8584, 1040, 8074, 602, 782, 2609, 540, 454, 288, 616, 7787, 780, 4002, 519, 1297, 1899, 267, 891, 2338, 5330, 547, 2798, 22274, 630, 272, 29265, 994, 777, 691, 269, 8074, 602, 692, 263, 272, 29265, 264, 2999, 630, 321, 8584, 8358, 273, 780, 763, 3259, 540, 519, 10126, 630, 320, 14720, 264, 568, 630, 321, 8584, 1070, 543, 519, 19437, 540, 519, 454, 11133, 1499, 540, 589, 568, 1447, 982, 3368, 602, 8884, 269, 898, 568, 16022, 569, 454, 984, 2365, 602, 972, 786, 581, 835, 1448, 540, 589, 538, 519, 8884, 630, 320, 14720, 6393, 2414, 6961, 621, 22759, 3585, 267, 5581, 562, 607, 519, 2547, 8870, 3152, 982, 454, 263, 571, 6393, 2171, 723, 1384, 333, 268, 272, 10922, 986, 2999, 562, 692, 528, 692, 3799, 268, 272, 8358, 337, 10922, 513, 2999, 562, 29265, 692, 4692, 596, 6961, 602, 630, 333, 29265, 264, 2999, 536, 267, 1210, 519, 1249, 602, 692, 272, 29265, 2999, 630, 321, 8584, 8358, 273, 26042, 1607, 786, 2285, 596, 519, 7787, 7117, 596, 616, 3168, 585, 780, 2414, 1265, 606, 19450, 1063, 513, 543, 536, 267, 2015, 630, 320, 266, 336, 8358, 273, 269, 2334, 1297, 454, 529, 6157, 1063, 513, 543, 536, 282, 666, 621, 581, 7787, 26042, 16341, 811, 267, 610, 952, 596, 723, 1022, 824, 2055, 780, 268, 16362, 10496, 13196, 267, 634, 4569, 17072, 454, 10674, 2517, 4118, 1721, 636, 3820, 7933, 337, 269, 4118, 13045, 7884, 8199, 14630, 281, 476, 6734, 270, 4962, 270, 1220, 274, 693, 476, 1556, 281, 4391, 281, 5392, 454, 5804, 281, 15952, 517, 454, 20428, 281, 5440, 1108, 692, 14188, 596, 585, 1018, 596, 723, 2016, 803, 865, 2484, 269, 1809, 594, 1869, 723, 513, 454, 23896, 593, 875, 547, 6961, 562, 29265, 2999, 536, 1210, 476, 272, 29265, 2999, 630, 321, 8584, 8358, 273, 780, 289, 8681, 517, 454, 7884, 8199, 14630, 281, 476, 6734, 270, 6187, 270, 1220, 274, 693, 476, 6349, 281, 1015, 281, 6187, 454, 5804, 281, 16362, 10496, 13196, 454, 20428, 281, 1234, 281, 5440, 1108, 692, 17098, 15952, 517, 10484, 3519, 1356, 940, 519, 2034, 851, 267, 649, 723, 1384, 3799, 268, 272, 8358, 337, 10922, 513, 454, 272, 29265, 672, 2999, 630, 321, 8584, 8358, 273, 692, 2252, 649, 1039, 891, 16526, 267, 649, 1205, 1384, 333, 29265, 2999, 513, 1341, 630, 321, 8584, 8358, 273, 815, 630, 320, 17070, 8358, 273, 2999, 630, 321, 17070, 8358, 273, 815, 536, 692, 26238, 513, 2999, 536, 269, 1306, 649, 849, 917, 602, 562, 29265, 3436, 513, 543, 562, 543, 678, 616, 9981, 2676, 333, 29265, 568, 513, 7787, 1063, 513, 543, 536, 780, 9989, 713, 1118, 2631, 26042, 268, 16362, 10496, 13196, 267, 634, 4569, 17072, 454, 10674, 2517, 4118, 1721, 636, 3820, 7933, 337, 269, 4118, 13045, 7884, 8199, 14630, 281, 476, 6734, 270, 6187, 270, 1220, 274, 693, 476, 1321, 281, 6872, 281, 6021, 454, 5804, 281, 15952, 517, 454, 20428, 281, 11289, 596, 630, 12749, 1108, 2020, 8133, 267, 602, 2306, 3501, 2631, 269, 11289, 596, 3220, 269, 10496, 13196, 780, 289, 8681, 517, 454, 8199, 10112, 18620, 11762, 912, 11947, 3427, 30498, 692, 15507, 519, 3220, 269, 4569, 7732, 1384, 4855, 3688, 5627, 630, 1584, 5624, 1063, 17161, 2567, 5231, 8437, 1152, 2899, 585, 5488, 2164, 281, 1496, 7994, 834, 3369, 1961, 1913, 257, 950, 10478, 585, 513, 2262, 899, 2085, 20426, 782, 17161, 267, 538, 1022, 1931, 693, 2547, 835, 267, 602, 3169, 8360, 2694, 540, 1913, 2898, 1913, 692, 8138, 2466, 707, 1378, 2243, 547, 3220, 269, 4569, 454, 13043, 17072, 5851, 13466, 4569, 7732, 13466, 16797, 13129, 13466, 4569, 17072, 9612, 0, 414, 489, 363, 1280, 1383, 267, 952, 589, 568, 606, 562, 6398, 562, 21083, 5119, 267, 519, 3830, 589, 12882, 382, 479, 10634, 1535, 815, 536, 666, 581, 12193, 585, 1535, 538, 693, 1034, 562, 476, 273, 4238, 269, 634, 1505, 538, 602, 1383, 568, 3362, 9862, 547, 6961, 519, 1739, 11532, 269, 2560, 936, 476, 272, 18421, 909, 1934, 568, 1875, 25179, 267, 865, 922, 513, 267, 476, 274, 333, 269, 901, 568, 1813, 547, 519, 1249, 602, 519, 3903, 540, 536, 814, 1100, 552, 28341, 593, 519, 4737, 4238, 2877, 547, 2569, 589, 547, 5580, 2389, 686, 9771, 1106, 269, 476, 272, 634, 5580, 21083, 14290, 616, 10502, 1346, 602, 24644, 519, 3044, 9206, 269, 737, 1210, 519, 5892, 12193, 2418, 585, 737, 2073, 634, 11689, 6500, 540, 513, 9864, 9206, 5833, 676, 30534, 930, 2694, 540, 519, 3044, 9206, 666, 581, 4330, 607, 513, 1305, 540, 3625, 5580, 21083, 14290, 630, 8117, 922, 2609, 616, 711, 782, 21083, 14290, 1040, 1535, 589, 5119, 602, 814, 782, 922, 13366, 2630, 519, 9030 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 654, 2001, 1315, 634, 28743, 454, 10831, 9193, 616, 1759, 593, 21496, 267, 10865, 543, 12353, 5515, 3177, 676, 519, 1786, 4546, 625, 269, 0, 7476, 909, 543, 4881, 609, 1843, 15129, 5752, 676, 8384, 938, 5124, 18862, 269, 16869, 2389, 4381, 7044, 593, 713, 1930, 21299, 3301, 2491, 875, 547, 2328, 5124, 3009, 267, 1519, 2870, 3252, 543, 3615, 267, 543, 2709, 5124, 1806, 899, 513, 28348, 6538, 8818, 543, 513, 10911, 11070, 3498, 563, 20779, 2970, 919, 875, 547, 946, 5124, 476, 274, 547, 1711, 1134, 27059, 20072, 543, 2226, 4540, 3785, 563, 14881, 1419, 4585, 519, 11430, 24229, 2593, 7044, 593, 1250, 15291, 1247, 2324, 856, 593, 513, 19335, 17919, 269, 634, 2110, 3259, 540, 519, 3381, 12415, 2337, 547, 1832, 803, 12592, 281, 834, 296, 3513, 16718, 693, 519, 1439, 540, 713, 3184, 1701, 1924, 2484, 594, 723, 4503, 476, 1839, 6550, 17373, 2443, 294, 841, 623, 563, 3467, 689, 938, 2818, 9732, 0, 310, 528, 3072, 602, 707, 2370, 835, 568, 28148, 32232, 547, 1945, 646, 781, 13881, 286, 3973, 596, 2811, 711, 4805, 269, 634, 5767, 5515, 1397, 602, 1426, 11959, 543, 703, 11217, 1734, 616, 4742, 811, 543, 811, 1455, 538, 1453, 910, 1498, 4966, 1869, 5749, 1405, 4010, 2386, 1946, 563, 6097, 547, 519, 23244, 543, 30665, 5177, 267, 1079, 829, 1298, 540, 519, 5177, 2551, 267, 543, 5216, 829, 1298, 540, 547, 1206, 896, 1614, 267, 616, 4299, 676, 11959, 269, 11531, 267, 513, 7372, 476, 3393, 829, 1298, 540, 721, 1995, 930, 2186, 540, 1426, 22166, 563, 27269, 519, 2474, 616, 6512, 1221, 1472, 1927, 910, 855, 1018, 781, 519, 1483, 3017, 1063, 606, 14711, 543, 606, 22166, 286, 4270, 267, 1247, 1426, 11959, 1419, 2014, 3665, 6547, 602, 666, 5732, 21279, 2729, 1107, 585, 1383, 267, 4929, 4049, 10447, 6285, 1107, 1426, 703, 11217, 1734, 616, 2356, 7646, 518, 267, 543, 4043, 547, 31721, 1472, 519, 9667, 1062, 563, 3674, 621, 606, 14711, 888, 763, 1034, 1455, 1426, 11959, 538, 1453, 1331, 10800, 781, 5144, 267, 3165, 543, 32729, 267, 18911, 781, 5798, 267, 30637, 267, 737, 12685, 328, 5613, 267, 10568, 543, 13386, 563, 21618, 1107, 799, 1331, 10447, 543, 26253, 1107, 4043, 547, 2049, 9425, 3533, 1310, 707, 4816, 27499, 513, 9594, 1426, 267, 543, 1419, 1369, 3764, 269, 898, 666, 1152, 1491, 513, 6263, 2179, 540, 519, 1426, 547, 1305, 1055, 513, 5114, 563, 23777, 673, 2589, 540, 513, 1426, 14711, 1331, 912, 268, 631, 1926, 543, 11563, 11926, 909, 267, 4929, 7411, 538, 24948, 267, 7244, 610, 6158, 454, 268, 26184, 765, 22689, 610, 7244, 7965, 454, 268, 2806, 12645, 1928, 267, 15353, 543, 13481, 454, 268, 589, 2489, 2213, 2960, 16420, 454, 268, 670, 1161, 630, 6518, 1413, 2147, 547, 2121, 1479, 16420, 264, 782, 936, 519, 1560, 454, 268, 15448, 538, 2295, 2557, 454, 268, 18461, 902, 540, 8467, 454, 268, 13809, 540, 9637, 454, 2252, 2901, 596, 610, 707, 7649, 23119, 689, 10447, 267, 26253, 267, 18720, 8611, 610, 1022, 824, 11959, 267, 621, 781, 2009, 707, 4816, 786, 581, 811, 693, 1981, 540, 3384, 606, 14711, 269, 898, 779, 1271, 547, 2119, 547, 6089, 12890, 14311, 2394, 3670, 3275, 267, 543, 711, 547, 6338, 17571, 1354, 713, 2085, 267, 607, 1312, 540, 891, 3800, 2569, 519, 10171, 540, 11959, 563, 7775, 1223, 621, 581, 513, 1426, 22166, 888, 4407, 11959, 3142, 593, 7525, 6547, 267, 22166, 2589, 666, 1491, 513, 1247, 547, 1020, 1310, 707, 2370, 835, 22655, 513, 9594, 1426, 563, 4322, 4043, 547, 581, 513, 2603, 1447, 4049, 267, 543, 621, 666, 581, 16602, 547, 2697, 873, 267, 2523, 952, 519, 2042, 1628, 909, 936, 519, 1576, 540, 513, 1906, 2395, 610, 4374, 269, 769, 9002, 267, 621, 781, 3226, 2182, 547, 2697, 606, 22166, 267, 607, 15069, 789, 666, 1406, 2995, 596, 875, 789, 2811, 4743, 2336, 4504, 16260, 2589, 949, 1331, 912, 268, 10266, 538, 519, 7181, 454, 268, 6489, 543, 26533, 454, 268, 13379, 2530, 610, 5821, 547, 2744, 2597, 454, 763, 1034, 1455, 703, 11217, 1734, 616, 547, 26178, 1107, 519, 4006, 538, 5144, 1107, 543, 15347, 269, 32587, 846, 568, 1336, 538, 5144, 630, 10175, 4542, 543, 6089, 332, 20488, 1070, 543, 267, 547, 513, 14758, 4110, 267, 538, 15446, 327, 584, 1206, 543, 2571, 29380, 525, 269, 634, 1292, 4191, 540, 26178, 22166, 616, 11591, 21539, 320, 543, 7181, 1928, 269, 3794, 9790, 22166, 267, 610, 1071, 27112, 2068, 267, 568, 15427, 676, 2472, 5627, 10568, 267, 30383, 543, 24061, 269, 20050, 1331, 11591, 21539, 320, 267, 2842, 267, 2597, 2530, 267, 5023, 21385, 543, 4887, 31191, 543, 24074, 269, 6168, 835, 538, 476, 1911, 1004, 538, 519, 5177, 723, 1071, 27112, 2068, 267, 855, 1082, 811, 2661, 609, 519, 2783, 3768, 328, 30938, 563, 21093, 948, 609, 5868, 454, 2252, 596, 1589, 707, 4816, 814, 606, 14711, 610, 1426, 22166, 267, 1294, 707, 13382, 269, 898, 949, 581, 5363, 547, 1832, 513, 1079, 22173, 19701, 540, 782, 3536, 13881, 676, 707, 9103, 543, 1010, 2589, 563, 5472, 25489, 666, 581, 8995, 676, 2564, 4255, 543, 593, 519, 4493, 540, 1920, 1686, 269, 2271, 11217, 1734, 616, 2352, 547, 13209, 607, 4255, 4043, 547, 581, 31877, 269, 1403, 621, 3884, 1406, 2312, 799, 568, 519, 1966, 1426, 267, 606, 17594, 2732, 949, 581, 5227, 267, 1141, 596, 2759, 856, 782, 14353, 3536, 543, 1287, 32543, 28558, 873, 7930, 267, 835, 676, 835, 267, 547, 6895, 707, 4816, 779, 2589, 563, 4913, 267, 952, 707, 4816, 781, 2589, 616, 4049, 610, 707, 1126, 19380, 9637, 267, 2141, 1289, 606, 5605, 592, 766, 5612, 610, 979, 547, 707, 14282, 589, 261, 292, 563, 4517, 1247, 621, 949, 581, 15673, 532, 267, 1810, 1406, 2119, 547, 1582, 26817, 1725, 846, 707, 1126, 779, 14711, 610, 22166, 269, 15775, 7759, 540, 1808, 3536, 1510, 2564, 5583, 949, 1291, 547, 9422, 19518, 267, 2523, 952, 596, 2759, 856, 513, 1883, 1426, 1895, 971, 607, 10683, 610, 10568, 269, 2659, 4387, 786, 849, 1616, 547, 4341, 856, 824, 3123, 540, 707, 1126, 779, 2589, 267, 971, 607, 12982, 15108, 2068, 610, 16063, 6188, 15297, 269, 0, 276, 18838, 5999, 454, 276, 631, 10248, 5999, 454, 268, 1548, 11887, 519, 3114, 3601, 540, 606, 11046, 888, 268, 634, 1297, 540, 16115, 606, 11046, 814, 5673, 593, 1018, 888, 268, 1548, 568, 513, 23442, 888, 268, 1548, 568, 519, 10570, 1297, 888, 268, 1548, 568, 9357, 888, 268, 513, 589, 1016, 30061, 9325, 530, 270, 513, 2582, 1770, 540, 2318, 5122, 5279, 22791, 994, 268, 536, 519, 1297, 540, 9211, 621, 814, 563, 268, 524, 634, 1297, 540, 22571, 538, 606, 11046, 563, 268, 546, 634, 1297, 540, 9211, 538, 519, 856, 25958, 7387, 563, 268, 552, 634, 2165, 585, 8444, 602, 616, 6475, 1227, 9901, 607, 513, 1267, 540, 11543, 15828, 3151, 9211, 563, 276, 13038, 14893, 5999, 454, 268, 634, 10545, 1770, 540, 2339, 602, 1869, 25601, 519, 3601, 540, 606, 3693, 563, 268, 15448, 568, 519, 3114, 7623, 540, 2339, 563, 268, 15240, 1734, 602, 3112, 581, 7745, 1524, 883, 824, 6878, 563, 268, 5019, 976, 543, 25268, 563, 276, 6936, 270, 16178, 5999, 454, 7617, 851, 540, 519, 11046, 814, 519, 1034, 1648, 286, 9890, 634, 1297, 540, 22571, 538, 606, 11046, 563, 1432, 568, 606, 6475, 286, 9890, 589, 1016, 30061, 9325, 530, 270, 513, 2942, 5279, 563, 763, 1297, 540, 32128, 7554, 606, 11046, 666, 1106, 568, 3160, 547, 1018, 286, 9890, 634, 1297, 540, 3606, 9211, 2877, 547, 6445, 922, 9018, 7387, 563, 1432, 568, 513, 14599, 24236, 286, 9890, 15689, 602, 2291, 538, 1114, 3029, 454, 13528, 338, 540, 606, 3693, 602, 8428, 538, 2527, 454, 306, 877, 1003, 540, 22571, 543, 9211, 855, 886, 1003, 540, 25268, 454, 763, 6125, 1063, 519, 7250, 11046, 540, 835, 1216, 11140, 543, 519, 5135, 11046, 540, 1776, 1216, 11140, 568, 1500, 2009, 676, 9890, 22122, 0, 26581, 1845, 1299, 5584, 687, 1315, 454, 763, 2136, 2276, 1631, 20558, 811, 982, 1022, 824, 4182, 269, 769, 476, 1001, 273, 267, 519, 4102, 7121, 540, 16865, 5370, 729, 4853, 7727, 630, 6518, 2882, 19386, 543, 922, 2472, 1070, 8051, 585, 476, 3953, 2600, 540, 519, 2698, 269, 13317, 5370, 20039, 585, 476, 2190, 2600, 267, 4553, 676, 7082, 5370, 630, 2537, 2600, 1070, 16669, 6472, 267, 2694, 267, 543, 9817, 630, 1724, 2600, 1070, 3536, 267, 20555, 267, 543, 16098, 630, 276, 2600, 1070, 543, 824, 5370, 630, 274, 2600, 1040, 634, 1292, 2242, 585, 16865, 5370, 2094, 476, 1960, 273, 723, 1044, 513, 6175, 538, 519, 8167, 540, 16669, 6472, 543, 606, 2333, 538, 4853, 7727, 269, 3776, 1292, 1104, 4891, 616, 3624, 267, 799, 15920, 476, 1240, 2600, 540, 938, 20558, 267, 519, 3864, 5742, 630, 1626, 2600, 1070, 4516, 630, 1691, 2600, 1070, 6792, 630, 1321, 2600, 264, 543, 3567, 630, 277, 2600, 1040, 0, 288, 7348, 689, 6611, 454, 7712, 519, 10131, 540, 519, 1158, 779, 1101, 5841, 9682, 590, 1584, 23364, 538, 476, 4198, 278, 267, 15408, 723, 13497, 4957, 519, 1259, 649, 1353, 938, 4541, 269, 589, 7348, 689, 6611, 267, 513, 1007, 267, 19636, 630, 28049, 543, 2296, 1070, 3810, 7317, 267, 3946, 6823, 2257, 8858, 267, 786, 1450, 8436, 547, 1294, 519, 1158, 689, 513, 9682, 779, 5133, 269, 1358, 666, 3950, 513, 19996, 689, 2230, 267, 6494, 513, 9682, 18343, 883, 10739, 1472, 513, 2203, 3047, 267, 1353, 6909, 2592, 540, 938, 4541, 9676, 676, 8331, 779, 3047, 9866, 6326, 3590, 267, 543, 811, 563, 32046, 676, 2098, 24000, 6865, 296, 1923, 28787, 713, 2680, 454, 279, 1691, 10369, 853, 563, 310, 559, 2719, 2023, 267, 12135, 476, 29257, 4905, 0, 763, 6167, 814, 19230, 540, 606, 834, 30161, 657, 633, 257, 12176, 540, 29887, 538, 28950, 807, 269, 634, 10332, 3357, 2395, 1310, 2564, 17493, 631, 2946, 20657, 1231, 590, 753, 13571, 328, 11726, 637, 1767, 621, 729, 14656, 782, 922, 15961, 538, 519, 2197, 267, 18468, 621, 1932, 5906, 585, 5234, 547, 3136, 741, 960, 269, 2311, 2547, 476, 10755, 2665, 540, 29887, 1107, 3368, 2063, 1032, 781, 2518, 512, 958, 1107, 723, 1044, 6592, 538, 28950, 807, 713, 1032, 563, 31640, 1216, 13451, 454, 6826, 548, 16331, 1229, 568, 606, 896, 8063, 618, 269, 570, 788, 1723, 267, 519, 12427, 540, 519, 20739, 22486, 30738, 2313, 9874, 6046, 2030, 538, 3567, 267, 2161, 930, 476, 4968, 19726, 540, 14599, 1216, 723, 682, 8898, 689, 4859, 13688, 269, 1323, 5662, 781, 4598, 547, 519, 1216, 1131, 2285, 513, 5982, 9570, 540, 476, 1911, 1984, 529, 773, 591, 1206, 1107, 2947, 2053, 519, 15868, 5993, 9570, 585, 4600, 563, 297, 17132, 7599, 11199, 14186, 454, 763, 1034, 8979, 1227, 3742, 1158, 538, 519, 3859, 1062, 1175, 6926, 342, 922, 1283, 269, 26439, 3996, 21074, 593, 18347, 781, 7599, 594, 334, 3592, 11179, 267, 609, 27723, 811, 1379, 982, 1346, 593, 3047, 269, 1809, 519, 16411, 593, 476, 1428, 4864, 729, 2462, 1256, 676, 922, 4441, 267, 609, 23419, 838, 719, 532, 20733, 7366, 540, 15432, 563, 763, 3955, 32744, 19937, 593, 8693, 7827, 814, 11943, 602, 972, 568, 693, 2547, 513, 476, 4817, 12656, 7266, 4960, 602, 3425, 616, 547, 16620, 585, 2916, 1689, 269, 2334, 781, 2687, 547, 519, 5767, 13451, 540, 922, 14232, 1867, 267, 1813, 856, 1985, 3923, 269, 634, 2063, 1867, 267, 3370, 538, 476, 1220, 278, 267, 11855, 513, 476, 3445, 12656, 7266, 610, 3152, 6015, 1377, 563, 2005, 781, 835, 1377, 1524, 689, 513, 31975, 320, 269, 2201, 476, 1691, 4864, 267, 519, 6505, 652, 562, 13960, 2938, 2094, 476, 1220, 278, 7902, 538, 519, 26424, 5548, 874, 19434, 267, 7298, 547, 519, 21736, 3750, 269, 8734, 2801, 2049, 950, 7250, 593, 513, 3043, 21221, 781, 2627, 1011, 3941, 538, 513, 2196, 12537, 12760, 5114, 269, 9521, 31975, 2801, 267, 519, 5182, 3470, 1161, 269, 25429, 5548, 874, 7236, 476, 1001, 274, 949, 581, 7298, 689, 3047, 585, 4374, 547, 2097, 563, 268, 1715, 26831, 454, 268, 3502, 1175, 513, 3896, 2336, 268, 4427, 18285, 547, 1715, 26831, 543, 1205, 912, 268, 1715, 26831, 12139, 9447, 1169, 3018, 454, 268, 1133, 15905, 2228, 1569, 547, 4930, 689, 936, 476, 4335, 1394, 2152, 454, 268, 4427, 18285, 3767, 543, 16440, 454, 2252, 596, 1131, 899, 547, 19074, 1022, 1543, 689, 1715, 26831, 267, 2901, 538, 1820, 610, 2228, 267, 5225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8941, 527, 568, 4652, 31944, 267, 5310, 22393, 267, 543, 2501, 1101, 538, 1895, 535, 267, 4553, 676, 519, 18367, 4802, 781, 954, 8306, 267, 7139, 4084, 543, 9661, 563, 763, 666, 26248, 8941, 630, 1492, 2695, 790, 781, 9661, 851, 476, 272, 264, 2520, 32015, 669, 29694, 17581, 519, 666, 26248, 8941, 519, 666, 26248, 8941, 630, 1492, 2695, 790, 781, 9661, 851, 476, 272, 264, 18405, 16163, 2215, 320, 693, 32646, 571, 267, 538, 519, 2244, 540, 25188, 776, 269, 634, 666, 26248, 8941, 630, 332, 1497, 7005, 281, 8941, 540, 1309, 684, 26248, 264, 568, 513, 4015, 540, 476, 2190, 2984, 602, 8255, 547, 936, 476, 1704, 267, 1822, 3515, 2854, 538, 1647, 7005, 676, 2520, 32015, 669, 29694, 1063, 476, 15946, 278, 543, 476, 9610, 271, 538, 476, 15946, 277, 267, 669, 29694, 2968, 17120, 540, 9821, 543, 5126, 540, 4708, 543, 267, 538, 476, 15946, 280, 267, 804, 17064, 540, 519, 4622, 781, 960, 1496, 275, 269, 2983, 32015, 669, 29694, 12995, 585, 2442, 829, 10650, 519, 2695, 790, 781, 9661, 519, 18367, 4802, 781, 9661, 519, 4387, 781, 9661, 609, 782, 519, 1568, 540, 669, 29694, 267, 3544, 519, 563, 763, 2695, 790, 781, 9661, 568, 2901, 4652, 31944, 676, 669, 29694, 610, 568, 5921, 547, 581, 29169, 676, 519, 18367, 4802, 267, 945, 954, 915, 338, 602, 646, 16858, 1010, 1378, 5067, 941, 607, 1714, 13228, 550, 607, 519, 2695, 790, 519, 3984, 20475, 20714, 766, 693, 519, 18367, 4802, 781, 954, 8306, 267, 543, 9753, 1864, 547, 2253, 519, 1985, 9661, 269, 634, 2034, 9661, 538, 2520, 32015, 669, 29694, 781, 519, 666, 26248, 8941, 568, 513, 535, 629, 20377, 340, 5143, 676, 519, 30885, 538, 1010, 9661, 267, 646, 6645, 540, 513, 15790, 10938, 3957, 14646, 267, 14646, 781, 7385, 782, 2581, 267, 543, 741, 1650, 540, 10470, 1222, 543, 13587, 527, 269, 634, 2695, 790, 568, 519, 2034, 19623, 669, 29694, 12857, 538, 519, 2489, 7139, 4084, 646, 6645, 1010, 9661, 1605, 22770, 267, 1310, 519, 21471, 543, 1354, 519, 18367, 4802, 519, 18367, 4802, 14443, 338, 519, 2695, 790, 781, 9661, 547, 17192, 1864, 585, 1373, 3388, 513, 1762, 812, 11129, 547, 581, 269, 634, 9661, 949, 581, 513, 23650, 1317, 669, 29694, 2760, 8737, 519, 9661, 610, 1317, 519, 2663, 3296, 540, 519, 9661, 729, 4503, 538, 519, 22251, 689, 799, 519, 666, 26248, 8941, 941, 3144, 1018, 3788, 540, 519, 2695, 790, 781, 9661, 3947, 1152, 5634, 16315, 540, 519, 2497, 543, 4798, 540, 519, 9661, 563, 763, 2695, 790, 568, 1373, 8036, 538, 1312, 519, 6575, 540, 6370, 543, 519, 6575, 540, 5480, 569, 2648, 519, 2695, 790, 10530, 538, 519, 666, 26248, 8941, 519, 519, 666, 26248, 8941, 10530, 2630, 616, 782, 2901, 9275, 676, 519, 2695, 790, 610, 3277, 547, 519, 2695, 790, 269, 634, 2695, 790, 1394, 1985, 1915, 2079, 519, 2695, 790, 568, 519, 27585, 781, 5067, 267, 18913, 1864, 593, 713, 31145, 649, 1589, 646, 781, 513, 7168, 1434, 2695, 790, 1310, 782, 267, 669, 29694, 6645, 721, 602, 646, 26055, 513, 7504, 1134, 267, 666, 795, 24065, 1134, 267, 543, 646, 1286, 1407, 519, 5779, 585, 519, 27585, 1134, 693, 12129, 269, 932, 29694, 267, 519, 15669, 267, 1985, 5956, 519, 9661, 540, 27205, 555, 641, 553, 267, 513, 2186, 540, 1612, 617, 1221, 15832, 267, 855, 646, 568, 29169, 676, 519, 3984, 267, 945, 6811, 519, 2915, 613, 7758, 669, 29694, 3096, 568, 1524, 2431, 25064, 543, 682, 23424, 563, 763, 2695, 790, 781, 9661, 676, 2520, 32015, 669, 29694, 30971, 5601, 9188, 23502, 1767, 938, 3984, 324, 555, 334, 1287, 1631, 971, 513, 7385, 1775, 7281, 5601, 1832, 803, 8389, 3138, 647, 3832, 11739, 697, 525, 543, 5705, 1988, 538, 2021, 581, 585, 513, 6614, 607, 11112, 607, 269, 2991, 519, 21471, 781, 9661, 267, 519, 3984, 13668, 1776, 9661, 827, 2648, 543, 7140, 547, 519, 2695, 790, 267, 945, 5956, 513, 9661, 540, 16750, 2621, 646, 1281, 711, 9096, 267, 2705, 267, 1317, 519, 18367, 4802, 14443, 338, 1864, 547, 5360, 2939, 519, 2695, 790, 593, 1010, 1714, 13228, 775, 543, 8425, 1006, 269, 634, 2695, 790, 781, 9661, 630, 19702, 28262, 669, 29694, 3126, 264, 1496, 613, 32015, 669, 29694, 316, 593, 32312, 1260, 1863, 11288, 593, 27216, 3091, 851, 12964, 538, 519, 1592, 540, 14046, 2042, 621, 6799, 267, 519, 2695, 790, 781, 9661, 16034, 1851, 519, 5207, 538, 519, 666, 26248, 8941, 269, 634, 1762, 2695, 790, 609, 1010, 6752, 2406, 1225, 1194, 25437, 543, 31042, 2110, 575, 1144, 568, 519, 20032, 540, 519, 11509, 669, 2526, 878, 2245, 543, 2488, 513, 22880, 4334, 547, 519, 3909, 669, 2526, 878, 2245, 6719, 676, 1010, 4651, 267, 519, 27585, 563, 763, 2695, 790, 781, 9661, 267, 835, 540, 519, 476, 2190, 2984, 538, 519, 666, 26248, 8941, 676, 2520, 32015, 669, 29694, 519, 2695, 790, 12211, 606, 18106, 9661, 540, 519, 25188, 541, 4622, 4342, 2421, 639, 16988, 630, 322, 3711, 639, 4754, 1070, 945, 11392, 2185, 9589, 13344, 281, 513, 21567, 7504, 602, 666, 8038, 9170, 9108, 855, 693, 27314, 3432, 267, 513, 18156, 602, 666, 23309, 269, 634, 2695, 790, 781, 4367, 543, 9661, 606, 954, 15035, 8144, 519, 1647, 7005, 1257, 568, 689, 12586, 787, 546, 536, 21672, 267, 1024, 1196, 267, 519, 8933, 728, 669, 29694, 267, 554, 32080, 2173, 858, 4802, 2754, 1031, 609, 10479, 540, 519, 17404, 269, 634, 2695, 790, 781, 9661, 519, 2695, 790, 781, 9661, 519, 7139, 4084, 3332, 3060, 9732, 2520, 32015, 669, 29694, 9732, 519, 666, 26248, 8941, 9732, 519, 2695, 790, 781, 9661, 1100, 5758, 2139, 2943, 269, 0, 763, 2749, 729, 21354, 8697, 563, 302, 653, 7859, 538, 519, 3540, 2112, 476, 1960, 273, 268, 1960, 276, 538, 519, 8513, 540, 519, 6243, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 972, 941, 1614, 6803, 2516, 281, 18179, 5395, 2125, 267, 18548, 333, 1014, 12356, 630, 289, 657, 14269, 6545, 264, 543, 15867, 1846, 4211, 987, 21095, 269, 20222, 267, 9810, 267, 25711, 267, 2527, 22149, 729, 10483, 676, 4108, 2962, 563, 763, 1267, 540, 519, 2112, 281, 7366, 540, 5215, 540, 25096, 1851, 519, 21127, 267, 1079, 2929, 15076, 543, 19774, 7606, 267, 10032, 4872, 267, 9897, 267, 3140, 543, 2686, 20375, 269, 1717, 267, 1256, 1310, 476, 1015, 1296, 1310, 519, 2112, 267, 4872, 693, 3781, 941, 1419, 4862, 15246, 7498, 1692, 7203, 1690, 5271, 334, 5654, 1310, 811, 982, 476, 736, 1296, 1310, 519, 2112, 286, 6733, 563, 15100, 476, 1001, 279, 267, 1990, 268, 18080, 7456, 1074, 269, 2353, 2924, 11603, 269, 0, 288, 32142, 28168, 18008, 1603, 2250, 4574, 3318, 4081, 1603, 267, 11049, 1299, 1382, 1931, 1631, 649, 786, 1376, 2324, 5612, 649, 3398, 3312, 2724, 1394, 10018, 2854, 689, 15072, 10950, 547, 1557, 323, 597, 1260, 910, 938, 2533, 11613, 519, 1655, 1557, 1603, 3594, 3028, 269, 1306, 18008, 513, 32142, 1557, 2972, 21295, 1557, 1603, 543, 2688, 1603, 2533, 3177, 676, 3318, 4081, 5830, 519, 2489, 15149, 540, 6281, 2069, 630, 326, 22330, 264, 568, 606, 4081, 28730, 267, 3622, 3144, 538, 513, 1297, 540, 5396, 676, 10453, 538, 6281, 2069, 538, 269, 4855, 4267, 547, 1271, 1272, 543, 2069, 2055, 593, 519, 512, 338, 337, 15473, 281, 513, 32142, 607, 18008, 981, 1557, 11236, 1433, 513, 796, 328, 1930, 1554, 513, 32142, 513, 273, 18008, 1603, 910, 948, 269, 589, 32142, 18008, 1603, 2250, 4574, 3079, 540, 2348, 513, 1184, 540, 23408, 1557, 7713, 519, 4950, 593, 3903, 540, 519, 18008, 4444, 18008, 1557, 1603, 3028, 4586, 288, 32142, 28168, 18008, 1603, 6417, 4879, 3446, 6302, 476, 7277, 476, 31275, 3594, 946, 609, 6266, 540, 2327, 596, 1205, 519, 4161, 568, 606, 7005, 4574, 666, 776, 10195, 269, 5192, 513, 1592, 540, 476, 1789, 3730, 18008, 1557, 2453, 7824, 849, 2139, 547, 948, 596, 1451, 519, 4122, 1031, 18008, 2453, 8600, 585, 513, 18008, 981, 1205, 513, 1592, 540, 476, 1789, 1547, 5851, 28168, 18008, 18008, 5037, 981, 14469, 4388, 585, 18008, 1603, 981, 9732, 28168, 19551, 3594, 585, 5711, 981, 9732, 18008, 6340, 9732, 513, 32142, 607, 18008, 1547, 717, 22330, 1603, 513, 32142, 28168, 18008, 6340, 1806, 28168, 9972, 981, 10719, 6340, 538, 1469, 827, 519, 875, 547, 25010, 3388, 3594, 563, 29753, 1053, 685, 1557, 1603, 1983, 547, 519, 5207, 1377, 676, 1210, 513, 2241, 543, 2653, 547, 3314, 4542, 585, 1557, 1603, 3450, 513, 32142, 513, 1377, 18008, 1547, 589, 32142, 607, 18008, 1557, 2055, 1107, 6700, 1543, 2798, 519, 1101, 2856, 602, 20485, 2303, 568, 547, 2141, 2328, 538, 18008, 1934, 538, 938, 3905, 3584, 1858, 267, 596, 3513, 1265, 519, 21777, 3594, 8720, 909, 3562, 15082, 3377, 543, 2621, 269, 4860, 1047, 543, 5965, 585, 11400, 538, 513, 7400, 18008, 2250, 4574, 543, 1665, 14565, 1770, 476, 6734, 910, 6947, 267, 2542, 543, 1603, 281, 1557, 4058, 6656, 630, 10441, 276, 737, 321, 1040, 6258, 18008, 2453, 513, 32142, 1557, 609, 1863, 7317, 15460, 3442, 689, 476, 4335, 1114, 5036, 540, 18008, 2453, 513, 32142, 1557, 15460, 593, 28866, 563, 294, 22330, 7005, 2250, 4574, 513, 32142, 5748, 547, 2328, 538, 3656, 1436, 540, 5061, 3594, 948, 538, 1603, 621, 1957, 513, 18008, 12167, 540, 6138, 7255, 609, 11018, 1547, 13419, 3293, 1557, 1489, 585, 607, 513, 32142, 18008, 513, 3126, 540, 476, 866, 2048, 24490, 5035, 685, 3211, 593, 1455, 1966, 2127, 538, 1557, 1603, 4052, 5751, 543, 4143, 1806, 538, 519, 2796, 540, 2009, 981, 2055, 2429, 1107, 5355, 3803, 981, 2773, 269, 589, 32142, 513, 273, 18008, 1557, 1806, 513, 2631, 602, 10453, 543, 741, 3610, 616, 593, 606, 3872, 3460, 1927, 1557, 1603, 2022, 12445, 513, 324, 30779, 1533, 9972, 5098, 269, 589, 32142, 513, 7400, 18008, 3594, 1250, 26393, 562, 987, 531, 773, 543, 1775, 723, 3710, 606, 5393, 3102, 5311, 540, 1557, 1603, 883, 519, 1007, 8456, 1576, 799, 6227, 1547, 30868, 540, 4879, 538, 1603, 547, 2854, 1893, 6537, 689, 513, 3099, 540, 2959, 1053, 786, 2626, 606, 1557, 2243, 538, 18008, 585, 1142, 540, 519, 1079, 4586, 2026, 18008, 513, 32142, 1770, 835, 1775, 4312, 1336, 782, 519, 2250, 1557, 2055, 543, 13603, 930, 2055, 547, 16540, 2093, 4126, 713, 2337, 609, 14469, 2433, 1040, 24356, 891, 538, 3152, 3178, 267, 10457, 1685, 513, 5934, 513, 32142, 513, 273, 18008, 1557, 10643, 476, 1015, 543, 5021, 540, 476, 1321, 3764, 607, 1134, 607, 519, 23316, 522, 9805, 328, 611, 269, 589, 32142, 607, 18008, 1557, 1603, 938, 1557, 649, 616, 519, 513, 596, 6634, 540, 1434, 543, 1603, 3028, 568, 267, 513, 30732, 2280, 267, 5830, 609, 1346, 540, 14172, 3255, 1318, 269, 5675, 3594, 538, 18008, 910, 4744, 31277, 543, 3594, 693, 1034, 10694, 5777, 2328, 513, 2656, 2688, 12031, 609, 938, 6351, 543, 1118, 707, 3610, 28280, 3247, 3478, 3983, 9344, 609, 891, 2688, 1557, 7840, 563, 288, 32142, 607, 18008, 1107, 1557, 2055, 1107, 6700, 1543, 2798, 2985, 476, 272, 513, 32142, 607, 18008, 1557, 2055, 1107, 6700, 1543, 2798, 5796, 585, 1614, 851, 2055, 15545, 3943, 607, 1377, 2200, 1898, 2200, 513, 32142, 607, 1377, 18008, 1557, 1603, 24920, 513, 32142, 18008, 1557, 1603, 24920, 25269, 2890, 7809, 2262, 3561, 476, 5002, 737, 321, 269, 15316, 2200, 547, 948, 1032, 476, 1321, 1053, 540, 18008, 2328, 513, 1434, 1557, 910, 1665, 10325, 689, 513, 32142, 269, 0, 2691, 31077, 2962, 729, 14140, 2919, 1034, 4892, 7608, 621, 1317, 621, 5795, 27797, 2516, 519, 8458, 543, 2200, 789, 2877, 547, 2087, 741, 3510, 269, 1717, 267, 950, 4892, 3459, 547, 1174, 519, 4441, 1732, 789, 7691, 602, 31077, 2962, 4441, 1175, 10208, 539, 689, 519, 3255, 540, 1004, 609, 3160, 610, 3152, 20340, 269, 594, 849, 3494, 602, 519, 31077, 2962, 4441, 616, 14124, 938, 4182, 538, 1082, 2081, 563, 3080, 540, 519, 1034, 1271, 2694, 540, 938, 2197, 602, 519, 31077, 2962, 4441, 10413, 568, 938, 4346, 282, 621, 14796, 938, 4346, 1317, 1813, 547, 519, 15490, 4441, 602, 31077, 2962, 4564, 649, 1810, 1405, 2141, 723, 519, 1034, 3608, 1268, 2324, 538, 519, 13781, 602, 789, 4294, 585, 269, 5502, 649, 723, 606, 9441, 602, 3884, 1405, 607, 11727, 585, 519, 2816, 267, 5097, 1317, 646, 610, 1352, 568, 2808, 547, 581, 538, 513, 12102, 269, 594, 798, 1174, 519, 1249, 602, 1082, 18441, 723, 1044, 5806, 3990, 1996, 2429, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 476, 9463, 490, 418, 490, 485, 421, 496, 486, 11590, 353, 29004, 351, 454, 5035, 8827, 912, 825, 1219, 4990, 8624, 832, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 7183, 912, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 15358, 538, 268, 2897, 3079, 563, 1038, 8173, 1038, 952, 711, 15358, 912, 2018, 2132, 454, 1038, 1948, 476, 10254, 507, 417, 356, 489, 25060, 500, 31284, 22047, 18021, 498, 13644, 354, 11858, 502, 417, 480, 357, 419, 374, 351, 420, 487, 366, 25520, 419, 503, 377, 420, 487, 366, 7511, 12916, 491, 419, 377, 362, 454, 1038, 2699, 815, 476, 271, 952, 15358, 314, 271, 316, 11203, 476, 271, 3116, 476, 272, 454, 1038, 3043, 815, 476, 271, 952, 15358, 314, 271, 316, 11203, 476, 272, 3116, 476, 272, 454, 1038, 952, 3043, 2999, 2699, 912, 2018, 3043, 815, 2699, 454, 1038, 1775, 815, 476, 272, 454, 1038, 1247, 1775, 2999, 7003, 25225, 2187, 2018, 1948, 13127, 364, 484, 419, 374, 351, 420, 487, 366, 11590, 353, 29004, 351, 420, 485, 367, 18021, 498, 13644, 354, 11858, 502, 417, 480, 357, 7511, 12916, 491, 419, 377, 362, 8147, 23946, 370, 418, 505, 368, 13161, 364, 419, 374, 351, 420, 487, 366, 25520, 419, 503, 377, 420, 487, 366, 7511, 31284, 22047, 12916, 491, 419, 377, 362, 454, 2018, 952, 15358, 5157, 316, 2652, 476, 271, 912, 3546, 1948, 13127, 28187, 31563, 25051, 497, 31176, 491, 12916, 491, 419, 377, 362, 27882, 352, 417, 354, 377, 15159, 419, 374, 351, 420, 487, 366, 8147, 20721, 510, 421, 506, 478, 11590, 353, 29004, 351, 454, 3546, 952, 1775, 2652, 2699, 912, 7386, 1775, 6834, 476, 272, 454, 3546, 3116, 912, 7386, 15358, 5157, 3910, 15358, 314, 1042, 316, 815, 15358, 314, 1042, 3910, 15358, 5157, 2639, 3546, 2699, 6834, 476, 272, 454, 3546, 952, 3043, 2999, 2699, 912, 7386, 3043, 815, 2699, 454, 2018, 8640, 15358, 5157, 316, 2652, 476, 272, 912, 3546, 1948, 13127, 28187, 31563, 25051, 497, 31176, 491, 12916, 491, 419, 377, 362, 27882, 352, 417, 354, 377, 15159, 419, 503, 377, 420, 487, 366, 8147, 20721, 510, 421, 506, 478, 11590, 353, 29004, 351, 454, 3546, 952, 1775, 2652, 3043, 912, 7386, 1775, 6834, 476, 272, 454, 7386, 3043, 6834, 476, 272, 454, 7386, 3136, 454, 3546, 15358, 5157, 3910, 15358, 314, 19009, 316, 815, 15358, 314, 19009, 3910, 15358, 5157, 2639, 3546, 3043, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 1775, 6834, 476, 272, 454, 1038, 2132, 15358, 454, 0, 5228, 31066, 1104, 20958, 518, 692, 3698, 1404, 10031, 825, 1820, 3488, 15916, 543, 10950, 547, 6196, 631, 4660, 256, 315, 333, 763, 3804, 540, 519, 3014, 568, 547, 6292, 782, 540, 707, 6486, 543, 711, 581, 519, 835, 2451, 609, 519, 6196, 631, 4660, 256, 315, 333, 2791, 786, 581, 18808, 3368, 519, 16064, 1247, 519, 2780, 786, 581, 18808, 519, 824, 3368, 26142, 333, 2791, 786, 1287, 581, 19430, 547, 6474, 543, 1167, 731, 782, 2139, 8424, 602, 596, 666, 1265, 693, 799, 1448, 519, 2780, 786, 798, 519, 1482, 26142, 333, 2791, 543, 519, 2780, 786, 1287, 1491, 7140, 5373, 689, 1142, 1866, 16064, 26142, 333, 2791, 786, 3442, 606, 2139, 4994, 693, 799, 519, 3556, 568, 6537, 543, 519, 2780, 786, 3442, 513, 4351, 4994, 1369, 707, 16064, 26142, 333, 1607, 4422, 1394, 543, 8521, 2394, 2576, 568, 2451, 609, 519, 6196, 631, 4660, 263, 6865, 264, 3556, 8572, 547, 1118, 513, 6292, 256, 315, 333, 18208, 1022, 6206, 547, 2253, 256, 5073, 825, 3403, 4590, 825, 3014, 815, 20958, 518, 4590, 825, 3014, 269, 16651, 318, 1372, 531, 4590, 825, 3014, 2593, 13459, 318, 1372, 531, 4590, 825, 1820, 3488, 7312, 1688, 568, 281, 30386, 825, 1820, 14116, 877, 269, 16651, 318, 8518, 2020, 825, 3014, 2593, 13459, 8548, 2255, 4590, 825, 1820, 3488, 300, 2255, 1142, 270, 1415, 540, 519, 8424, 676, 13059, 1142, 6292, 538, 519, 12327, 16898, 3898, 281, 834, 273, 267, 273, 808, 267, 297, 257, 30386, 825, 2332, 7272, 4202, 815, 3403, 4590, 825, 3014, 269, 16651, 8548, 2255, 263, 8181, 7272, 4202, 994, 8931, 825, 1219, 5180, 10031, 1038, 1820, 3488, 2750, 3250, 550, 256, 3767, 621, 568, 707, 2490, 547, 2721, 689, 519, 5904, 1688, 267, 4584, 513, 3556, 263, 8161, 264, 1063, 476, 271, 543, 1412, 1341, 1193, 12759, 14116, 877, 2593, 13459, 318, 8518, 9984, 272, 4917, 1038, 3556, 5091, 22148, 815, 3403, 4590, 1038, 3014, 269, 16651, 5091, 3863, 6262, 731, 5091, 22148, 994, 1038, 1820, 3488, 2791, 16668, 281, 1412, 1341, 3014, 269, 16651, 318, 2017, 337, 6831, 731, 994, 1038, 1820, 3488, 7312, 1688, 568, 1631, 281, 5073, 1038, 1820, 14116, 877, 269, 16651, 318, 8518, 994, 1038, 1820, 3488, 300, 2255, 1142, 270, 1415, 540, 519, 8424, 676, 13059, 1142, 6292, 538, 519, 12327, 16898, 3898, 281, 834, 273, 267, 273, 808, 267, 297, 257, 1403, 596, 798, 711, 723, 1022, 8424, 547, 6474, 1826, 18178, 5073, 1038, 8424, 815, 3403, 4590, 1038, 3014, 269, 16651, 8548, 2255, 9638, 4202, 994, 1038, 3014, 2593, 13459, 5091, 3863, 4590, 1038, 1820, 3488, 763, 2780, 16668, 281, 1412, 1341, 3014, 2593, 13459, 318, 2017, 337, 6831, 731, 994, 1038, 3014, 2593, 13459, 8548, 2255, 10797, 1038, 952, 7003, 14116, 877, 2593, 13459, 318, 8518, 264, 2652, 476, 272, 543, 3014, 2593, 13459, 318, 8518, 314, 271, 316, 2652, 1412, 6865, 262, 543, 7003, 14116, 877, 269, 16651, 318, 8518, 264, 2652, 476, 271, 912, 2018, 1820, 3488, 2791, 12736, 256, 5073, 1038, 8640, 7003, 14116, 877, 269, 16651, 318, 8518, 264, 2652, 476, 272, 543, 3014, 269, 16651, 318, 8518, 314, 271, 316, 2652, 1412, 6865, 262, 543, 7003, 14116, 877, 2593, 13459, 318, 8518, 264, 2652, 476, 271, 912, 2018, 1820, 3488, 288, 2346, 1744, 15085, 256, 1411, 4503, 256, 7591, 1586, 286, 5073, 1038, 3116, 912, 2018, 5180, 4590, 8931, 825, 5180, 10797, 2452, 3890, 0, 258, 10563, 510, 499, 423, 510, 361, 2433, 21844, 364, 478, 28990, 354, 29030, 479, 364, 10563, 486, 502, 692, 5814, 1187, 551, 8962, 7531, 3698, 4990, 318, 2421, 5416, 267, 536, 2187, 825, 952, 703, 5416, 1341, 536, 264, 3436, 703, 6357, 1341, 513, 2187, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2132, 910, 272, 7531, 3698, 3070, 3799, 13246, 2187, 825, 2626, 815, 1412, 7055, 825, 5569, 5332, 13246, 815, 1496, 1598, 28840, 264, 585, 1297, 538, 2338, 6540, 825, 5569, 5332, 13246, 815, 15044, 30415, 5332, 13246, 267, 1883, 284, 325, 9417, 8962, 6983, 5404, 15461, 318, 4486, 4433, 677, 318, 2421, 1070, 9258, 18989, 2020, 825, 952, 5569, 5332, 13246, 314, 271, 316, 2652, 1412, 271, 12466, 1038, 2132, 1412, 271, 28847, 825, 585, 1297, 538, 5569, 5332, 13246, 912, 1038, 2626, 6834, 1297, 692, 825, 2132, 2626, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 4433, 1828, 8443, 277, 267, 476, 1015, 267, 476, 273, 28413, 0, 258, 14091, 361, 372, 28990, 494, 29306, 368, 14091, 480, 368, 14091, 356, 486, 14602, 490, 423, 490, 478, 423, 350, 506, 10563, 510, 499, 423, 510, 361, 17432, 502, 422, 372, 364, 692, 5814, 11346, 7531, 3698, 3070, 19304, 902, 267, 562, 2187, 825, 2626, 815, 11713, 825, 4994, 318, 10420, 815, 31460, 825, 2450, 815, 7003, 19304, 902, 994, 825, 546, 545, 815, 2715, 10926, 825, 585, 1775, 538, 2039, 4433, 1125, 2187, 1038, 5569, 815, 12673, 5157, 6540, 1038, 4994, 318, 10420, 5157, 316, 815, 5569, 19559, 6540, 825, 4994, 318, 10420, 815, 15044, 263, 8161, 318, 10420, 29096, 19572, 1883, 284, 28072, 269, 14403, 1326, 614, 263, 272, 11723, 825, 585, 7329, 343, 538, 4994, 318, 10420, 912, 1038, 952, 7329, 343, 314, 272, 316, 711, 538, 546, 545, 912, 2018, 546, 545, 314, 30915, 314, 272, 14963, 815, 1496, 1598, 902, 314, 30915, 314, 271, 14963, 2639, 1038, 3116, 912, 2018, 546, 545, 314, 30915, 314, 272, 316, 4940, 6572, 19304, 902, 314, 30915, 314, 271, 14963, 2020, 825, 585, 1883, 538, 546, 545, 269, 12399, 10031, 1038, 32102, 815, 546, 545, 314, 4486, 6540, 1038, 952, 7003, 10857, 560, 264, 3436, 476, 272, 912, 2018, 32102, 31699, 10797, 1038, 2626, 6834, 32102, 692, 825, 2132, 2626, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 4433, 1828, 8443, 257, 15711, 2580, 834, 5523, 2580, 834, 8364, 257, 3910, 476, 272, 4917, 0, 5814, 942, 454, 5228, 6345, 1104, 5274, 32156, 267, 15932, 20663, 32156, 692, 302, 318, 303, 6369, 312, 2207, 318, 306, 312, 11586, 5357, 815, 1412, 302, 7055, 311, 318, 303, 6369, 312, 2207, 318, 306, 312, 11586, 5357, 815, 1412, 311, 7055, 4932, 8976, 312, 318, 306, 312, 11586, 5357, 815, 1412, 1412, 7531, 5035, 570, 545, 307, 659, 2414, 324, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 4580, 815, 20886, 4932, 8976, 312, 318, 306, 312, 11586, 5357, 316, 2608, 476, 274, 585, 9041, 538, 2039, 263, 274, 22708, 1038, 1582, 269, 9690, 318, 7773, 1676, 815, 7183, 454, 1038, 1582, 269, 4580, 8548, 6260, 815, 1582, 21014, 3634, 8548, 1952, 902, 10797, 825, 1219, 1402, 3634, 8548, 1952, 902, 4311, 2187, 1038, 562, 815, 7003, 4311, 269, 4580, 994, 1038, 11837, 815, 2715, 10926, 1038, 1775, 815, 476, 272, 454, 1038, 585, 4737, 538, 2039, 3799, 2187, 2018, 585, 897, 538, 2039, 3799, 2187, 3546, 11837, 5157, 316, 815, 630, 992, 267, 897, 994, 3546, 1775, 6834, 476, 272, 692, 1038, 2132, 11837, 692, 825, 1219, 1205, 318, 4944, 582, 318, 10517, 4311, 267, 5544, 2187, 1038, 585, 1883, 267, 1871, 538, 1582, 269, 4580, 8548, 6260, 29096, 10031, 2018, 952, 1871, 2652, 5544, 912, 3546, 2132, 1883, 692, 825, 1219, 1820, 318, 4580, 4311, 2187, 1038, 562, 815, 7003, 4311, 269, 4580, 2020, 1038, 585, 4737, 538, 2039, 3799, 2187, 2018, 1820, 3488, 347, 22207, 1439, 8782, 5073, 2018, 585, 897, 538, 2039, 3799, 2187, 3546, 1130, 815, 1582, 269, 4580, 314, 992, 6012, 3712, 2639, 3546, 1820, 263, 1998, 267, 1439, 8782, 1923, 30386, 2018, 1820, 10797, 825, 1219, 1820, 318, 21752, 4311, 2187, 1038, 562, 815, 7003, 4311, 269, 4580, 2020, 1038, 1775, 815, 476, 272, 454, 1038, 585, 4737, 538, 2039, 3799, 2187, 2018, 1820, 3488, 347, 22207, 1439, 8782, 5073, 2018, 585, 897, 538, 2039, 3799, 2187, 3546, 1820, 9217, 267, 1439, 8782, 1923, 30386, 3546, 1582, 269, 4580, 8548, 6260, 5157, 316, 815, 630, 992, 267, 897, 994, 3546, 1775, 6834, 476, 272, 454, 2018, 1820, 10797, 825, 1219, 2139, 8548, 7174, 4311, 2187, 1038, 562, 815, 7003, 4311, 269, 4580, 994, 1038, 7575, 815, 29129, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 585, 795, 538, 2039, 3799, 2187, 3546, 952, 1582, 269, 4580, 5157, 6012, 329, 316, 2652, 661, 6573, 31159, 318, 306, 312, 11586, 5357, 912, 7386, 7575, 6910, 9230, 328, 267, 795, 4917, 1038, 2132, 7575, 692, 825, 1219, 814, 318, 24105, 318, 4944, 1824, 4311, 2187, 1038, 585, 4737, 538, 1582, 269, 4580, 912, 2018, 952, 661, 6573, 31159, 318, 306, 312, 11586, 5357, 538, 4737, 912, 3546, 2132, 6936, 692, 1038, 2132, 8771, 692, 825, 1219, 1003, 318, 24105, 318, 4944, 1824, 4311, 2187, 1038, 2132, 7003, 4311, 269, 19989, 8548, 7174, 31156, 825, 1219, 1118, 8548, 913, 4311, 267, 5544, 267, 4484, 2187, 1038, 4737, 267, 897, 815, 5544, 692, 1038, 952, 1582, 269, 4580, 314, 992, 6012, 3712, 316, 2652, 661, 6573, 31159, 318, 306, 312, 11586, 5357, 912, 2018, 1582, 269, 4580, 314, 992, 6012, 3712, 316, 815, 4484, 692, 2018, 952, 1582, 269, 7773, 1676, 4433, 13607, 267, 4484, 2187, 3546, 1582, 269, 9690, 318, 7773, 1676, 815, 4484, 692, 2018, 2132, 6936, 692, 1038, 2132, 8771, 692, 825, 1219, 1205, 5091, 328, 6782, 1023, 4311, 2187, 1038, 1394, 267, 4395, 815, 1496, 3910, 11713, 1038, 562, 815, 7003, 4311, 269, 4580, 2020, 1038, 1775, 267, 795, 815, 476, 271, 267, 562, 910, 476, 272, 454, 1038, 1247, 1775, 2999, 562, 543, 795, 13843, 476, 271, 912, 2018, 4395, 6910, 4311, 269, 4580, 5157, 6012, 328, 7481, 2018, 1394, 6910, 4311, 269, 4580, 5157, 6012, 329, 7481, 2018, 1775, 6834, 476, 272, 454, 2018, 795, 20699, 476, 272, 692, 1038, 32377, 815, 1496, 3724, 267, 4395, 2639, 1038, 2132, 32377, 692, 825, 1219, 16771, 4311, 267, 5544, 267, 4484, 2187, 1038, 1948, 6744, 4737, 454, 1038 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1627, 11723, 3698, 579, 5334, 263, 304, 2187, 8873, 21762, 14116, 1315, 18665, 264, 1315, 21762, 263, 4594, 263, 304, 11723, 3698, 642, 5334, 263, 304, 2187, 8873, 21762, 14116, 1315, 18665, 264, 2608, 5609, 327, 263, 304, 264, 1315, 21762, 263, 4594, 263, 304, 11723, 3698, 535, 4671, 263, 304, 2187, 8873, 5430, 327, 263, 304, 264, 1315, 21762, 263, 4594, 263, 304, 11723, 3698, 535, 13448, 263, 304, 2187, 8873, 5430, 327, 263, 304, 264, 1315, 22917, 263, 304, 2020, 3698, 535, 14729, 263, 304, 2187, 8873, 5609, 327, 263, 273, 269, 271, 2608, 1627, 264, 1315, 22917, 263, 304, 2020, 3698, 512, 5334, 263, 304, 2187, 8873, 910, 9076, 1155, 6600, 4671, 267, 1627, 318, 271, 267, 1627, 267, 1654, 322, 6958, 15635, 25716, 25011, 271, 316, 1315, 21762, 14116, 2608, 18665, 2020, 3698, 1535, 5334, 263, 304, 2187, 8873, 1535, 318, 271, 910, 9076, 1155, 6600, 13448, 267, 1627, 318, 271, 267, 1627, 267, 1654, 322, 6958, 15635, 25716, 25011, 271, 316, 1315, 18665, 692, 3698, 586, 5334, 263, 304, 2187, 8873, 586, 318, 271, 910, 9076, 1155, 6600, 14729, 267, 1627, 318, 271, 267, 1627, 267, 1654, 322, 6958, 15635, 25716, 25011, 271, 316, 1315, 630, 273, 269, 271, 2608, 18665, 2020, 3698, 586, 5334, 7272, 263, 304, 2187, 8873, 910, 263, 272, 269, 271, 1315, 630, 273, 269, 271, 2608, 18665, 4297, 2608, 5609, 327, 263, 273, 269, 271, 2608, 1627, 264, 1315, 22917, 263, 304, 2020, 258, 5384, 540, 8184, 454, 304, 318, 307, 318, 652, 815, 607, 514, 327, 8987, 341, 318, 271, 1315, 579, 318, 271, 264, 8587, 1948, 19461, 7447, 585, 13053, 781, 1505, 454, 304, 318, 307, 815, 1007, 2023, 12169, 5334, 267, 1627, 318, 307, 318, 652, 267, 586, 5334, 7272, 994, 307, 815, 512, 5334, 263, 304, 318, 307, 994, 2745, 28361, 333, 24342, 281, 5073, 2745, 3488, 11742, 540, 8184, 630, 338, 264, 4449, 11434, 2433, 2715, 15545, 274, 325, 348, 8339, 8971, 24867, 11723, 258, 21222, 7267, 2039, 454, 305, 815, 1535, 5334, 263, 304, 318, 307, 994, 2745, 3488, 295, 528, 714, 7267, 2039, 630, 332, 264, 4449, 672, 2433, 2715, 15545, 274, 325, 348, 8339, 8971, 27562, 11723, 258, 26228, 4463, 454, 295, 815, 586, 5334, 263, 271, 269, 271, 994, 2745, 3488, 16655, 3065, 4463, 630, 332, 264, 4449, 11434, 2433, 2715, 15545, 274, 325, 348, 8339, 8971, 263, 295, 11723, 258, 21070, 1125, 22185, 3252, 454, 339, 318, 11355, 815, 5286, 269, 19066, 1125, 6025, 5334, 994, 343, 318, 11355, 815, 5286, 269, 19066, 1125, 3287, 5334, 994, 344, 318, 11355, 815, 5286, 269, 19066, 1125, 12169, 5334, 994, 340, 318, 11355, 815, 5286, 269, 19066, 1125, 26086, 5334, 994, 341, 318, 11355, 815, 5286, 269, 19066, 1125, 17635, 5334, 2020, 258, 26275, 585, 4756, 1412, 304, 7055, 301, 815, 476, 6200, 454, 27923, 318, 307, 815, 5232, 263, 27979, 4433, 514, 327, 263, 304, 318, 307, 4297, 2020, 258, 1488, 7590, 585, 1788, 850, 2619, 4632, 454, 339, 815, 512, 318, 11355, 263, 304, 994, 343, 815, 1535, 318, 11355, 263, 304, 994, 344, 815, 586, 318, 11355, 263, 304, 994, 340, 815, 579, 318, 11355, 263, 304, 994, 341, 815, 642, 318, 11355, 263, 304, 2020, 258, 18140, 540, 18330, 454, 14808, 267, 4949, 815, 12301, 16553, 30831, 4590, 1467, 267, 815, 4949, 19502, 3287, 267, 586, 267, 1412, 337, 268, 3299, 6003, 8782, 301, 10179, 673, 5073, 1314, 15630, 21234, 16868, 262, 19061, 850, 2619, 5073, 1314, 15630, 318, 553, 1051, 3488, 16029, 5073, 1314, 26942, 6357, 18989, 994, 1314, 269, 5586, 754, 4590, 1314, 15630, 13448, 16932, 3488, 343, 630, 332, 264, 5073, 1314, 15630, 318, 29786, 3488, 344, 630, 332, 264, 5073, 10823, 20481, 10797, 258, 18140, 540, 6991, 3334, 454, 14808, 267, 4949, 815, 12301, 16553, 30831, 4590, 1467, 267, 815, 4949, 19502, 6025, 267, 579, 267, 1412, 321, 268, 3299, 6003, 8782, 340, 5073, 1314, 15630, 21234, 16868, 262, 295, 528, 714, 7267, 6991, 5057, 5073, 1314, 26942, 6357, 18989, 994, 1314, 269, 5586, 754, 4590, 1314, 15630, 13448, 16932, 3488, 339, 630, 338, 264, 5073, 1314, 15630, 318, 29786, 3488, 340, 630, 332, 4882, 264, 5073, 10823, 20481, 10797, 14808, 267, 4949, 815, 12301, 16553, 30831, 4590, 1467, 267, 815, 4949, 19502, 6025, 267, 642, 267, 1412, 321, 268, 3299, 6003, 8782, 341, 5073, 1314, 15630, 21234, 16868, 262, 309, 324, 337, 3749, 6991, 5057, 5073, 1314, 26942, 6357, 18989, 994, 1314, 269, 5586, 754, 4590, 1314, 15630, 13448, 16932, 3488, 339, 630, 338, 264, 5073, 1314, 15630, 318, 29786, 3488, 341, 630, 332, 4882, 264, 5073, 10823, 20481, 30800, 1012, 10753, 1111, 539, 18330, 692, 288, 2027, 2013, 540, 513, 3440, 2065, 18330, 585, 513, 15177, 568, 513, 3138, 1111, 539, 18330, 267, 513, 18330, 609, 606, 3284, 334, 32607, 3152, 982, 519, 5934, 20589, 18330, 547, 519, 1482, 2039, 269, 769, 824, 1913, 267, 519, 15177, 12599, 2362, 543, 676, 3257, 865, 621, 3096, 811, 1648, 547, 1205, 547, 519, 1482, 13941, 1448, 269, 901, 949, 581, 2944, 585, 1585, 4128, 971, 607, 2810, 3845, 547, 519, 16880, 547, 2285, 3152, 13156, 270, 23890, 2039, 610, 585, 4657, 519, 5086, 609, 799, 513, 23828, 786, 1764, 593, 13941, 269, 10753, 1111, 539, 24551, 616, 3006, 1031, 538, 1312, 23828, 4224, 4479, 543, 538, 2230, 325, 2775, 16804, 277, 6540, 1012, 22108, 692, 272, 269, 31595, 22191, 328, 267, 5565, 1715, 7070, 267, 2274, 16582, 267, 476, 14321, 279, 267, 533, 269, 27149, 454, 273, 269, 715, 565, 974, 267, 6424, 667, 1421, 31595, 1133, 20129, 630, 23682, 5112, 2160, 4964, 267, 476, 1001, 279, 264, 6032, 269, 476, 4375, 268, 8287, 563, 274, 269, 634, 575, 568, 519, 10231, 1813, 547, 8904, 269, 18121, 3189, 6234, 476, 280, 269, 10037, 332, 4882, 3867, 273, 22288, 2282, 519, 2627, 540, 519, 3047, 1916, 275, 269, 13302, 950, 519, 1843, 4422, 16057, 267, 543, 2810, 950, 621, 4422, 18746, 454, 276, 269, 12276, 6234, 476, 273, 24206, 1422, 7562, 7268, 10401, 3738, 315, 10383, 1422, 6523, 7268, 10401, 3738, 7807, 7562, 263, 273, 315, 10401, 3738, 21456, 277, 269, 11831, 2065, 7323, 850, 16470, 267, 3794, 27443, 267, 642, 269, 476, 274, 269, 271, 267, 2475, 4972, 540, 16470, 267, 4873, 476, 1960, 278, 269, 0, 14818, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 692, 258, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 692, 14818, 13517, 692, 1012, 476, 866, 5999, 14330, 304, 4530, 26592, 9828, 585, 14160, 2969, 1923, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 692, 14818, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 585, 10829, 476, 1708, 273, 568, 851, 540, 26592, 9828, 585, 14160, 2969, 7041, 269, 634, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 2055, 543, 4267, 723, 1044, 5423, 2687, 547, 519, 10829, 981, 21038, 7868, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 14330, 17988, 616, 1500, 585, 10829, 476, 1708, 273, 11929, 269, 4855, 1271, 8847, 267, 2055, 267, 4967, 267, 10096, 267, 1806, 267, 5751, 267, 14330, 17988, 543, 2228, 4255, 585, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 2630, 563, 22069, 1903, 540, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 2055, 538, 2296, 616, 2139, 607, 851, 540, 938, 26592, 9828, 585, 14160, 2969, 585, 10829, 1299, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 3435, 538, 19446, 585, 26592, 9828, 585, 14160, 2969, 1576, 269, 8281, 811, 1271, 3584, 267, 4967, 267, 15872, 543, 23769, 1449, 3126, 585, 10829, 11929, 676, 19142, 909, 585, 1863, 269, 28055, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 1923, 476, 866, 2055, 538, 476, 1789, 3764, 1923, 631, 1442, 1449, 585, 10829, 7041, 1923, 5131, 1271, 2055, 14330, 304, 547, 1353, 26592, 9828, 585, 14160, 2969, 585, 10829, 11929, 1923, 8281, 1863, 7300, 609, 3435, 454, 476, 272, 15867, 516, 266, 1053, 723, 9896, 909, 593, 661, 706, 3725, 341, 269, 5620, 596, 888, 14818, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 272, 692, 2162, 2311, 519, 2557, 540, 476, 277, 260, 533, 18502, 269, 2241, 1719, 267, 513, 2040, 540, 12652, 269, 476, 7742, 271, 786, 7118, 875, 1454, 1719, 676, 519, 1439, 540, 476, 276, 1296, 780, 19547, 9229, 8827, 585, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 272, 692, 26594, 1719, 815, 630, 623, 1535, 681, 1535, 1109, 307, 264, 1315, 476, 1911, 692, 284, 630, 7742, 271, 1535, 476, 277, 1535, 476, 276, 264, 1315, 476, 1911, 692, 26594, 1719, 815, 12652, 269, 476, 16020, 692, 14818, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 273, 692, 2162, 2201, 1018, 2040, 519, 2241, 9314, 585, 476, 274, 1296, 693, 476, 276, 260, 829, 3045, 636, 2179, 547, 12652, 269, 476, 5611, 780, 14818, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 274, 692, 2162, 769, 1018, 942, 786, 12652, 269, 476, 7761, 1831, 12652, 269, 476, 10037, 693, 476, 1839, 270, 275, 260, 829, 3045, 636, 2241, 1719, 286, 25991, 692, 19547, 9229, 8827, 585, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 274, 692, 19950, 815, 12652, 269, 630, 10037, 268, 7761, 264, 815, 12652, 269, 476, 280, 454, 4131, 519, 942, 581, 512, 1296, 563, 280, 815, 630, 7761, 9943, 1839, 9943, 339, 19422, 275, 9943, 1911, 994, 339, 815, 630, 280, 9943, 6110, 19422, 7761, 9943, 1839, 6661, 273, 1296, 692, 14818, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 275, 692, 4263, 1018, 2557, 2600, 829, 3045, 636, 786, 513, 2040, 540, 2724, 5595, 3294, 538, 476, 1428, 1296, 780, 19547, 9229, 8827, 585, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 275, 692, 14818, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 276, 692, 1103, 1018, 942, 12652, 269, 476, 18605, 271, 2179, 547, 12652, 269, 476, 25134, 276, 693, 519, 2557, 540, 476, 274, 476, 16006, 4939, 829, 3045, 636, 780, 19547, 9229, 8827, 585, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 276, 692, 763, 2953, 4781, 568, 645, 563, 32459, 7625, 2179, 284, 18605, 271, 454, 31948, 284, 274, 476, 272, 270, 273, 260, 11985, 284, 278, 270, 273, 454, 11742, 815, 570, 454, 10485, 284, 25134, 276, 268, 18605, 271, 284, 3393, 276, 454, 10485, 284, 11266, 307, 270, 1911, 454, 3393, 276, 284, 18605, 271, 9943, 278, 9943, 307, 270, 1911, 9943, 273, 2676, 307, 284, 276, 344, 3464, 780, 14818, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 277, 692, 8340, 519, 2040, 540, 2724, 950, 4679, 476, 272, 270, 1015, 540, 3294, 1169, 1032, 2179, 547, 12652, 269, 476, 7785, 538, 476, 276, 1296, 780, 14818, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 278, 692, 288, 2040, 540, 2724, 5666, 547, 12652, 269, 476, 8099, 271, 538, 476, 273, 1296, 543, 12652, 269, 476, 9610, 271, 538, 476, 277, 1296, 693, 2241, 9314, 269, 4855, 519, 2557, 2600, 780, 14818, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 279, 692, 1103, 1018, 942, 12652, 269, 476, 25851, 693, 476, 276, 2600, 829, 3045, 636, 786, 3132, 519, 1482, 9314, 607, 12652, 269, 476, 5197, 271, 538, 476, 276, 1296, 693, 476, 277, 2600, 829, 3045, 636, 780, 14818, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 280, 692, 763, 2241, 9314, 593, 513, 1978, 2040, 540, 2724, 693, 519, 2557, 540, 476, 275, 260, 533, 18502, 269, 585, 476, 276, 1296, 568, 12652, 269, 476, 12739, 271, 269, 2311, 1018, 2557, 540, 1719, 519, 1482, 2179, 540, 1719, 666, 581, 4607, 593, 519, 1482, 2040, 1310, 476, 275, 1296, 26042, 19547, 9229, 8827, 585, 4530, 281, 11822, 9314, 1299, 3281, 895, 9314, 268, 476, 272, 910, 7726, 476, 280, 692, 276, 14999, 306, 15660, 269, 815, 476, 12739, 271, 267, 681, 815, 476, 275, 260, 570, 815, 476, 276, 1296 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2322, 693, 2547, 835, 3355, 2783, 24355, 31262, 692, 3436, 1964, 691, 281, 609, 20573, 17805, 307, 8962, 2567, 609, 263, 14701, 339, 8962, 2567, 609, 263, 30831, 2567, 609, 263, 21803, 307, 8962, 2567, 609, 263, 680, 2714, 8962, 2567, 533, 28701, 1496, 13912, 31185, 28701, 1496, 13912, 1948, 1712, 28701, 476, 272, 21147, 317, 273, 3917, 281, 5590, 19187, 1399, 3488, 339, 318, 1712, 3299, 1412, 7407, 3299, 476, 272, 21147, 317, 273, 3917, 2567, 5590, 19187, 1399, 3488, 28186, 13448, 3299, 1412, 7407, 3299, 476, 736, 2567, 5590, 19187, 1399, 3488, 28186, 14729, 3299, 1412, 7407, 3299, 476, 736, 2567, 5590, 19187, 1399, 3488, 343, 28804, 3299, 1412, 7407, 3299, 476, 271, 2567, 5590, 19187, 1399, 3488, 343, 26174, 3299, 1412, 7407, 3299, 476, 276, 2567, 5590, 19187, 1399, 3488, 344, 28804, 3299, 1412, 7407, 3299, 910, 1015, 2567, 5590, 19187, 1399, 3488, 344, 26174, 3299, 1412, 7407, 3299, 476, 736, 2567, 5590, 19187, 1399, 3488, 339, 318, 4593, 318, 272, 3299, 1412, 7407, 3299, 910, 277, 2567, 5590, 19187, 1399, 3488, 339, 318, 4593, 318, 273, 3299, 1412, 7407, 3299, 910, 274, 2567, 5590, 19187, 1399, 3488, 339, 318, 4593, 318, 274, 3299, 1412, 7407, 3299, 476, 271, 2567, 5590, 19187, 1399, 3488, 339, 318, 4593, 318, 275, 3299, 1412, 7407, 3299, 476, 274, 2567, 5590, 19187, 1399, 3488, 339, 318, 4593, 318, 276, 3299, 1412, 7407, 3299, 476, 277, 2567, 5590, 19187, 1399, 3488, 339, 318, 4593, 19963, 3299, 1412, 7407, 3299, 910, 1015, 2567, 5590, 19187, 1399, 3488, 339, 318, 643, 318, 272, 3299, 1412, 7407, 3299, 910, 1015, 2567, 5590, 19187, 1399, 3488, 339, 318, 643, 318, 273, 3299, 1412, 7407, 3299, 476, 271, 2567, 5590, 19187, 1399, 3488, 339, 318, 643, 318, 274, 3299, 1412, 7407, 3299, 476, 276, 2567, 5590, 19187, 1399, 3488, 339, 318, 643, 318, 275, 3299, 1412, 7407, 3299, 476, 1015, 2567, 5590, 19187, 1399, 3488, 339, 318, 643, 318, 276, 3299, 1412, 7407, 3299, 476, 1428, 2567, 1948, 1712, 28701, 1612, 572, 263, 7476, 19187, 1399, 3488, 339, 318, 1712, 3299, 1412, 7407, 262, 4297, 1384, 3436, 1305, 318, 1712, 28701, 22876, 3890, 476, 1109, 29514, 522, 1372, 267, 522, 1372, 318, 273, 282, 476, 1109, 1712, 28701, 1612, 572, 263, 7476, 19187, 1399, 3488, 339, 318, 1712, 3299, 1412, 7407, 262, 4297, 282, 476, 1109, 1712, 318, 273, 28701, 1612, 572, 263, 21803, 307, 8962, 314, 27802, 3482, 5472, 28488, 935, 3200, 263, 1712, 267, 5569, 1070, 834, 344, 2580, 834, 344, 3287, 17983, 4297, 282, 1439, 22876, 1384, 3436, 2312, 318, 12407, 28701, 22876, 3890, 476, 1109, 29514, 533, 267, 31185, 267, 561, 6831, 282, 476, 1109, 335, 28701, 1496, 22049, 476, 1109, 31389, 28701, 1496, 22049, 476, 1109, 331, 6831, 28701, 1496, 22049, 1439, 22876, 1384, 3436, 1305, 318, 9792, 28701, 22876, 3890, 476, 1109, 29514, 1535, 272, 267, 1535, 273, 267, 586, 272, 267, 586, 273, 282, 476, 1109, 343, 272, 28701, 1612, 572, 263, 7476, 19187, 1399, 3488, 343, 28804, 3299, 1412, 7407, 262, 4297, 282, 476, 1109, 343, 273, 28701, 1612, 572, 263, 7476, 19187, 1399, 3488, 343, 26174, 3299, 1412, 7407, 262, 4297, 282, 476, 1109, 344, 272, 28701, 1612, 572, 263, 7476, 19187, 1399, 3488, 344, 28804, 3299, 1412, 7407, 262, 4297, 282, 476, 1109, 344, 273, 28701, 1612, 572, 263, 7476, 19187, 1399, 3488, 344, 26174, 3299, 1412, 7407, 262, 4297, 282, 1439, 22876, 1384, 3436, 7470, 28701, 22876, 3890, 476, 1109, 29514, 522, 1372, 267, 522, 1372, 318, 273, 267, 1535, 272, 267, 1535, 273, 267, 586, 272, 267, 586, 273, 282, 476, 1109, 29985, 575, 343, 267, 14934, 282, 476, 1109, 326, 343, 28701, 1612, 572, 263, 7476, 19187, 1399, 3488, 28186, 13448, 3299, 1412, 7407, 262, 4297, 282, 476, 1109, 4445, 28701, 1612, 572, 263, 7476, 19187, 1399, 3488, 28186, 14729, 3299, 1412, 7407, 262, 4297, 282, 476, 1109, 3553, 318, 9792, 3890, 282, 476, 1109, 3553, 318, 1712, 3890, 282, 1948, 476, 1109, 1712, 28701, 1612, 572, 263, 7476, 19187, 1399, 3488, 339, 318, 1712, 3299, 1412, 7407, 262, 4297, 282, 476, 1109, 13729, 19187, 1399, 3488, 5522, 582, 271, 3299, 1412, 7407, 3299, 16692, 7120, 5560, 858, 12169, 3287, 1070, 1535, 6661, 1712, 318, 273, 267, 586, 3287, 1070, 1535, 24210, 272, 907, 343, 273, 267, 586, 284, 344, 272, 907, 344, 273, 267, 546, 597, 7615, 17342, 326, 343, 267, 14934, 316, 4297, 282, 1439, 22876, 1384, 3436, 17488, 28701, 22876, 3890, 476, 1109, 29514, 1535, 272, 282, 476, 1109, 29985, 17488, 272, 267, 17488, 273, 267, 17488, 274, 267, 17488, 275, 267, 17488, 276, 267, 561, 318, 643, 282, 476, 1109, 331, 318, 643, 28701, 1496, 22049, 476, 1109, 643, 272, 28701, 11657, 307, 8962, 314, 7476, 19187, 1399, 28488, 339, 318, 643, 318, 272, 267, 1871, 5148, 476, 1109, 643, 273, 28701, 11657, 307, 8962, 314, 7476, 19187, 1399, 28488, 339, 318, 643, 318, 273, 267, 1871, 5148, 476, 1109, 643, 274, 28701, 11657, 307, 8962, 314, 7476, 19187, 1399, 28488, 339, 318, 643, 318, 274, 267, 1871, 5148, 476, 1109, 643, 275, 28701, 11657, 307, 8962, 314, 7476, 19187, 1399, 28488, 339, 318, 643, 318, 275, 267, 1871, 5148, 476, 1109, 643, 276, 28701, 11657, 307, 8962, 314, 7476, 19187, 1399, 28488, 339, 318, 643, 318, 276, 267, 1871, 5148, 476, 1109, 604, 263, 643, 272, 2999, 285, 834, 8442, 1287, 561, 318, 643, 28701, 1496, 641, 10857, 318, 643, 1070, 586, 3287, 272, 6661, 27785, 263, 643, 272, 13580, 1439, 952, 282, 476, 1109, 604, 263, 643, 273, 2999, 285, 834, 8442, 1287, 561, 318, 643, 28701, 1496, 641, 10857, 318, 643, 1070, 586, 263, 271, 6661, 27785, 263, 643, 273, 13580, 1439, 952, 282, 476, 1109, 604, 263, 643, 274, 2999, 285, 834, 8442, 1287, 561, 318, 643, 28701, 1496, 641, 10857, 318, 643, 1070, 586, 263, 271, 6661, 27785, 263, 643, 274, 13580, 1439, 952, 282, 476, 1109, 604, 263, 643, 275, 2999, 285, 834, 8442, 1287, 561, 318, 643, 28701, 1496, 641, 10857, 318, 643, 1070, 586, 263, 271, 6661, 27785, 263, 643, 275, 13580, 1439, 952, 282, 476, 1109, 604, 263, 643, 276, 2999, 285, 834, 8442, 1287, 561, 318, 643, 28701, 1496, 641, 10857, 318, 643, 1070, 586, 263, 271, 6661, 27785, 263, 643, 276, 13580, 1439, 952, 282, 476, 1109, 331, 318, 643, 282, 1439, 22876, 1384, 3436, 1007, 318, 529, 334, 28701, 22876, 3890, 476, 1109, 29514, 522, 1372, 267, 522, 1372, 318, 273, 267, 1535, 272, 267, 1535, 273, 267, 586, 272, 267, 586, 273, 267, 561, 6831, 267, 533, 267, 31185, 282, 476, 1109, 29985, 524, 272, 267, 524, 273, 267, 524, 274, 267, 524, 275, 267, 524, 276, 267, 535, 267, 561, 267, 1775, 267, 795, 267, 737, 267, 1535, 328, 267, 586, 328, 267, 575, 282, 1948, 476, 1109, 1712, 28701, 1612, 572, 263, 7476, 19187, 1399, 3488, 339, 318, 1712, 3299, 1412, 7407, 262, 4297, 282, 476, 1109, 3553, 318, 9792, 3890, 282, 476, 1109, 3553, 318, 1712, 3890, 282, 476, 1109, 27234, 318, 12407, 3890, 282, 476, 1109, 322, 272, 28701, 5192, 19187, 1399, 6025, 318, 4593, 318, 272, 267, 1871, 5148, 476, 1109, 322, 273, 28701, 5192, 19187, 1399, 6025, 318, 4593, 318, 273, 267, 1871, 5148, 476, 1109, 322, 274, 28701, 5192, 19187, 1399, 6025, 318, 4593, 318, 274, 267, 1871, 5148, 476, 1109, 322, 275, 28701, 5192, 19187, 1399, 6025, 318, 4593, 318, 275, 267, 1871, 5148, 476, 1109, 322, 276, 28701, 5192, 19187, 1399, 6025, 318, 4593, 318, 276, 267, 1871, 5148, 476, 1109, 331, 6831, 28701, 1496, 22049, 476, 1109, 604, 6262, 272, 2999, 285, 834, 8442, 1287, 561, 6831, 28701, 1496, 641, 10857, 6831, 1070, 1612, 572, 6262, 272, 13580, 1439, 952, 282, 476, 1109, 604, 6262, 273, 2999, 285, 834, 8442, 1287, 561, 6831, 28701, 1496, 641, 10857, 6831, 1070, 1612, 572, 6262, 273, 13580, 1439, 952, 282, 476, 1109, 604, 6262, 274, 2999, 285, 834, 8442, 1287, 561, 6831, 28701, 1496, 641, 10857, 6831, 1070, 1612, 572, 6262, 274, 13580, 1439, 952, 282, 476, 1109, 604, 6262, 275, 2999, 285, 834, 8442, 1287, 561, 6831, 28701, 1496, 641, 10857, 6831, 1070, 1612, 572, 6262, 275, 13580, 1439, 952, 282, 476, 1109, 604, 6262, 276, 2999, 285, 834, 8442, 1287, 561, 6831, 28701, 1496, 641, 10857, 6831, 1070, 1612, 572, 6262, 276, 13580, 1439, 952, 282, 476, 28812, 334, 3890, 282, 1439, 22876, 1384, 3436, 568, 334, 28701, 22876, 3890, 476, 1109, 29514, 522, 1372, 267, 522, 1372, 318, 273, 267, 1535, 272, 267, 1535, 273, 267, 586, 272, 267, 586, 273, 267, 561, 6831, 267, 533, 267, 31185, 282, 476, 1109, 29985, 524, 272, 267, 524, 273, 267, 524, 274, 267, 524, 275, 267, 524, 276, 267, 535, 267, 561, 267, 1775, 267, 795, 267, 737, 267, 1535, 328, 267, 586, 328, 267, 575, 282, 476, 1109, 604, 263, 3674, 8138, 306, 3225, 775, 2891, 344, 2580, 6460, 263, 1712, 267, 5569, 30727, 1287, 476, 1741, 1109, 3495, 28701, 1496, 572, 336, 16216, 1998, 325, 9230, 343, 273, 14870, 272, 8358, 736, 265, 328, 21147, 272, 1070, 1775, 284, 271, 907, 736, 13580, 282, 476, 1741, 1109, 604, 263, 3674, 8138, 306, 3225, 775, 2891, 343, 2580, 15240, 3482, 5472, 263, 935, 3200, 263, 1712, 267, 5569, 1070, 834, 10339, 2580, 834, 257, 30727, 1287, 476, 6892, 476, 3396, 1109, 1721, 1775, 689, 476, 272, 547, 562, 3591, 10857, 6831, 264, 798, 476, 3396, 1741, 1109, 325, 28701, 1496, 338, 9876, 263, 1712, 284, 331, 6831, 5157, 3910, 586, 13580, 282, 476, 3396, 1741, 1109, 331, 28701, 1496, 22049, 476, 3396, 1741, 1109, 1721, 795, 689, 476, 272, 547, 562, 3591, 6600, 264, 798, 476, 7673, 1109, 331, 28701, 1496, 641, 10857, 1070, 535, 14728, 14963, 282, 476, 7673, 1109, 326, 28701, 796, 1952, 569, 6600, 14728, 3910, 1535, 5148, 476, 7673, 1109, 1721, 737, 689, 476, 272, 547, 476, 2641, 798, 1948, 476, 7673, 1741, 1109, 604, 263, 6943, 14116, 3287, 328, 25208, 25818, 1483, 4621, 4297, 1287, 476, 7673, 1741, 1109, 604, 263, 2612, 263, 3412, 16216, 1998, 325, 14116, 3287, 328, 25208, 316, 4297, 4297, 283, 1015, 317, 8987, 279, 264, 3738, 1287, 476, 7673, 3396, 1109, 31389, 28701, 1496, 641, 5560, 335, 1070, 1496, 3495, 25208, 3910, 1234, 16216, 1998, 325, 14116, 3287, 328, 25208, 316, 4297, 13580, 22049, 476, 7673, 1741, 1109, 754, 952, 282, 476, 7673, 1109, 754, 798, 282, 1948, 476, 7673, 1109, 31389, 28701, 1496, 641, 5560, 335, 1070, 694, 336, 8443, 3495, 25208, 3910, 575, 3287, 328, 25208, 8079, 3910, 737, 284, 272, 907, 2641, 13580, 282, 476, 3396, 1741, 1109, 754, 798, 282, 476, 3396, 1741, 1109, 335, 28701, 1496, 641, 9638, 1070, 4729, 10857, 267, 1535, 24210, 272, 907, 343, 273, 267, 586, 284, 344, 272, 907, 344, 273, 267, 2681, 284, 19990, 267, 13274, 5598, 284, 25346, 13580, 282, 476, 3396, 1109, 754, 798, 282, 476, 1741, 1109, 12828, 476, 3396, 1109, 1721, 1775, 689, 476, 272, 547, 562, 3591, 10857, 6831, 264, 798, 476, 3396, 1741, 1109, 325, 28701, 1496, 3240, 6958, 338, 9876, 263, 1712, 284, 331, 6831, 5157, 3910, 586, 267, 586, 272, 267, 586, 273, 13580, 282, 476, 3396, 1741, 1109, 1721, 795, 689, 476, 272, 547, 562, 3591, 6600, 264, 798, 476, 7673, 1109, 335, 28701, 1496, 641, 9638, 1070, 1899, 8443, 343, 272, 267, 535, 14728, 316, 3910, 1496, 343, 273, 267, 535, 14728, 316, 3910, 2681, 284, 19990, 267, 13274, 5598, 284, 25346, 13580, 282, 476, 7673, 1109, 1721, 737, 689, 476, 272, 547, 476, 2641, 798, 476, 7673, 1741, 1109, 31389, 28701, 1496, 641, 5560, 335, 1070, 1496, 3495, 25208, 3910, 535, 14728, 14963, 22049, 476, 7673, 1109, 754, 798, 282, 476, 3396, 1741, 1109, 754, 798, 282, 476, 3396, 1109, 754, 798, 282, 476, 1741, 1109, 754, 952, 282, 476, 1109, 12828, 476, 1741, 1109, 344, 328, 28701, 1496, 572, 336, 16216, 1998, 325, 9230, 344, 273, 3917, 272, 8358, 736, 265, 328, 20742, 272, 1070, 1775, 284, 271, 907, 736, 13580, 282, 476, 1741, 1109, 1721, 1775, 689, 476, 272, 547, 562, 3591, 10857, 6831, 264, 798, 476, 3396, 1109, 325, 28701, 1496, 3240, 6958, 338, 9876, 263, 1712, 284, 331, 6831, 5157, 3910, 1535, 267, 1535, 272, 267, 1535, 273, 13580, 282, 476, 3396, 1109, 1721, 795, 689, 476, 272, 547, 562 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16887, 4196, 607, 606, 4244, 1797, 547, 1683, 1863, 2069, 585, 519, 1447, 17376, 643, 850, 3022, 1453, 610, 1453, 4535, 547, 1970, 13867, 1274, 2996, 267, 4079, 945, 6382, 3112, 6488, 547, 8804, 741, 1259, 998, 1153, 563, 19465, 1299, 4509, 606, 1605, 541, 940, 22045, 568, 1360, 7199, 267, 855, 713, 22045, 568, 1863, 269, 6435, 547, 1832, 713, 1565, 22045, 1863, 676, 1810, 908, 610, 5885, 721, 269, 1284, 3398, 23190, 267, 14828, 267, 13384, 832, 4721, 1299, 1489, 547, 948, 3914, 856, 547, 811, 1453, 269, 11289, 596, 865, 1454, 269, 8437, 1934, 547, 24946, 0, 17954, 770, 9196, 23213, 16953, 8299, 14647, 20750, 6625, 23213, 5160, 5888, 454, 17954, 770, 5160, 5888, 6257, 519, 5920, 540, 519, 6089, 30822, 577, 2096, 320, 593, 16953, 563, 763, 6688, 540, 6089, 20192, 1774, 868, 675, 616, 912, 295, 558, 15119, 4282, 20192, 1774, 868, 675, 3170, 454, 1103, 28244, 602, 723, 22734, 1594, 1081, 267, 4122, 538, 2022, 5443, 641, 30167, 2021, 267, 519, 13557, 540, 519, 6089, 568, 1500, 909, 540, 3170, 10981, 2737, 543, 25144, 20192, 8328, 13164, 540, 24561, 5160, 4586, 295, 558, 15119, 4282, 20192, 1774, 868, 675, 4017, 5766, 1633, 983, 454, 1607, 2165, 568, 1031, 547, 4766, 3339, 24267, 3892, 540, 519, 14189, 983, 8031, 538, 519, 7882, 776, 7997, 609, 9761, 30822, 577, 2096, 320, 543, 24561, 8031, 538, 519, 6566, 2459, 776, 543, 1427, 668, 2459, 776, 10851, 269, 898, 568, 2938, 689, 2367, 2117, 515, 538, 1762, 6690, 543, 538, 27185, 21310, 2145, 2021, 2394, 519, 6089, 1594, 1081, 3942, 269, 10801, 713, 1974, 540, 1272, 267, 23644, 543, 31181, 2242, 1644, 547, 6379, 543, 14915, 566, 786, 581, 2938, 267, 607, 4330, 538, 606, 4505, 3296, 4586, 295, 2678, 15119, 4282, 20192, 1774, 868, 675, 454, 1607, 2165, 568, 1031, 547, 4766, 6089, 5160, 5920, 609, 2789, 2127, 540, 30846, 543, 2799, 5860, 540, 519, 4017, 5766, 1633, 983, 30822, 577, 2096, 320, 538, 519, 7882, 776, 7997, 269, 898, 568, 3361, 676, 17441, 2242, 609, 12880, 21110, 3310, 593, 519, 28244, 269, 4014, 621, 949, 581, 12214, 267, 621, 568, 16122, 547, 2708, 30822, 577, 2096, 531, 20192, 1774, 868, 675, 1317, 621, 949, 1860, 519, 8417, 540, 6089, 16953, 585, 27295, 7020, 1547, 0, 4322, 4190, 5810, 616, 1930, 676, 1554, 543, 2673, 693, 3781, 269, 1358, 616, 10825, 2371, 602, 8853, 538, 3905, 267, 3819, 2127, 267, 1818, 713, 513, 7262, 5172, 269, 1358, 1332, 3362, 689, 8768, 5452, 267, 543, 789, 616, 5140, 607, 513, 8473, 610, 2666, 3382, 563, 763, 8768, 2681, 568, 1572, 13687, 267, 855, 621, 849, 814, 18707, 540, 3284, 878, 582, 269, 7233, 713, 8768, 6079, 538, 2038, 5614, 538, 11149, 952, 596, 1544, 593, 13003, 532, 630, 17218, 2887, 610, 2038, 5162, 538, 7646, 652, 16374, 1916, 2252, 596, 7287, 547, 2030, 3979, 30751, 5452, 2047, 13964, 267, 30889, 5452, 2047, 593, 519, 2666, 538, 4571, 1606, 7428, 950, 519, 2916, 814, 3636, 539, 909, 543, 519, 3463, 540, 15470, 814, 5293, 563, 7343, 6918, 1493, 5452, 829, 11013, 281, 476, 7742, 267, 1822, 17897, 281, 16316, 22340, 2098, 2158, 281, 476, 274, 910, 476, 1015, 27551, 281, 476, 1321, 6279, 25204, 17897, 281, 11068, 1606, 7428, 547, 2887, 25204, 7822, 281, 20363, 5113, 281, 9509, 3141, 14606, 7392, 281, 9995, 344, 267, 3138, 600, 267, 1769, 267, 1134, 1673, 20995, 3037, 1546, 518, 1763, 9665, 281, 8786, 5600, 7233, 281, 3143, 5824, 8745, 281, 17435, 6973, 6139, 8619, 16429, 340, 1092, 454, 307, 17687, 281, 476, 2568, 910, 476, 3583, 293, 19105, 2885, 5384, 281, 476, 1015, 910, 476, 2641, 2395, 8752, 22490, 281, 8786, 3493, 628, 281, 476, 272, 270, 1626, 10759, 590, 12976, 15580, 281, 476, 275, 13728, 829, 476, 272, 267, 1822, 4009, 3952, 610, 476, 273, 910, 476, 274, 5452, 829, 2030, 7720, 626, 675, 281, 5901, 5452, 5848, 2394, 23286, 7233, 1975, 5217, 281, 476, 1015, 6279, 0, 303, 19948, 593, 6249, 281, 834, 10933, 476, 1220, 700, 1724, 281, 6052, 10241, 281, 13749, 776, 282, 6052, 10241, 281, 18815, 19294, 476, 1220, 700, 1724, 281, 6052, 10241, 281, 13749, 776, 282, 6052, 10241, 281, 18815, 1701, 1765, 19809, 13973, 912, 10933, 476, 1220, 700, 1724, 281, 6052, 10241, 281, 13749, 776, 282, 6052, 10241, 281, 18815, 19294, 476, 1220, 700, 1724, 281, 6052, 10241, 281, 13749, 776, 282, 6052, 10241, 281, 18815, 11354, 476, 1001, 275, 24448, 293, 476, 9818, 271, 268, 12208, 271, 7537, 808, 269, 623, 269, 717, 648, 18078, 17106, 11333, 3820, 19835, 6229, 30733, 476, 22332, 277, 267, 476, 278, 4792, 476, 5392, 275, 476, 24879, 272, 8433, 25980, 281, 24448, 293, 476, 13647, 271, 268, 11277, 271, 570, 2026, 281, 7917, 29518, 27495, 4757, 11333, 2593, 667, 784, 12390, 18078, 17106, 11333, 3820, 287, 16942, 11333, 2593, 454, 4504, 18166, 5295, 19087, 19065, 374, 2414, 2743, 938, 3084, 1379, 2115, 972, 616, 2591, 1644, 547, 19065, 374, 9213, 649, 616, 8185, 8200, 593, 5755, 267, 2067, 3154, 267, 543, 6046, 267, 782, 540, 799, 616, 1875, 516, 2908, 762, 269, 19065, 374, 5719, 743, 1456, 17215, 9156, 762, 7727, 540, 1875, 516, 2908, 762, 1648, 2200, 269, 19065, 374, 22546, 338, 540, 2518, 2916, 1689, 543, 824, 2825, 543, 1480, 1072, 543, 3106, 2152, 269, 19065, 374, 305, 777, 573, 569, 2810, 3747, 585, 1379, 19962, 547, 2810, 2551, 563, 8368, 476, 279, 269, 273, 28038, 5295, 19087, 19065, 374, 4407, 5755, 267, 2067, 3154, 267, 543, 6046, 786, 3136, 547, 1404, 1271, 5107, 538, 1296, 6619, 267, 7418, 689, 2842, 1379, 267, 3859, 1379, 267, 543, 824, 7791, 2959, 616, 4397, 547, 581, 5051, 1713, 909, 547, 4571, 10601, 693, 2547, 563, 4504, 18166, 5295, 19087, 19065, 374, 8368, 476, 279, 269, 273, 849, 2982, 602, 5687, 17871, 9979, 616, 513, 4909, 2460, 540, 1896, 1379, 2030, 2010, 602, 2308, 7791, 610, 1875, 516, 2908, 762, 2959, 269, 19065, 374, 1103, 30667, 476, 279, 543, 476, 280, 267, 11517, 1379, 1949, 267, 3154, 17081, 1379, 1949, 267, 543, 4835, 13674, 9817, 616, 6594, 607, 5687, 17871, 9979, 269, 966, 8388, 1379, 1949, 538, 799, 513, 2324, 5714, 568, 3124, 2299, 11517, 1242, 543, 27772, 568, 519, 1445, 540, 3848, 476, 279, 269, 634, 2596, 2679, 3625, 540, 11517, 1379, 1949, 568, 519, 24419, 710, 4783, 563, 4504, 18166, 966, 8388, 5295, 12518, 19065, 374, 763, 3334, 540, 2185, 4244, 11517, 1379, 2030, 19383, 616, 3254, 1085, 3012, 1227, 538, 8431, 269, 476, 279, 269, 272, 269, 1358, 616, 19065, 374, 293, 1601, 559, 1922, 3241, 539, 11517, 1379, 2371, 269, 19065, 374, 18208, 28962, 21226, 19720, 6046, 11517, 1379, 2371, 269, 19065, 374, 3519, 1417, 7992, 3859, 8143, 11517, 1379, 2371, 269, 19065, 374, 10481, 18540, 11517, 1379, 2371, 269, 19065, 374, 1103, 1142, 540, 519, 2185, 2010, 540, 11517, 1379, 2030, 267, 513, 2324, 5714, 568, 3124, 2299, 11517, 1242, 543, 27772, 269, 589, 1883, 3017, 1851, 519, 2371, 568, 519, 5169, 540, 519, 1648, 2838, 547, 11517, 1125, 519, 2324, 5714, 563, 4504, 18166, 966, 8388, 5295, 12518, 19065, 374, 1103, 8093, 1922, 3241, 539, 2371, 267, 519, 1648, 2838, 585, 11517, 1436, 24865, 538, 13674, 540, 519, 4492, 563, 4504, 18166, 966, 8388, 5295, 12518, 19065, 374, 1103, 6046, 2371, 267, 519, 1648, 2838, 585, 11517, 1436, 24865, 538, 513, 6417, 6046, 5114, 563, 4504, 18166, 966, 8388, 5295, 12518, 19065, 374, 1103, 3859, 2371, 267, 519, 1648, 2838, 585, 11517, 1436, 24865, 538, 6394, 543, 13671, 3859, 5982, 563, 4504, 18166, 966, 8388, 5295, 12518, 19065, 374, 1103, 24232, 2371, 267, 519, 1648, 2838, 585, 11517, 1436, 24865, 538, 3905, 1216, 543, 5924, 9252, 6537, 689, 2630, 519, 3618, 779, 2627, 563, 4504, 18166, 966, 8388, 5295, 12518, 19065, 374, 763, 8093, 1922, 3241, 539, 11517, 1379, 2030, 540, 8431, 269, 476, 279, 269, 272, 5416, 264, 786, 581, 2808, 607, 11347, 269, 634, 2949, 2030, 568, 7745, 883, 2185, 2101, 1016, 17882, 338, 4857, 676, 589, 267, 645, 267, 595, 267, 543, 667, 269, 4826, 568, 519, 2324, 5714, 563, 4504, 18166, 966, 8388, 5295, 12518, 19065, 374, 8138, 17882, 589, 2488, 519, 3002, 4483, 540, 1648, 2877, 547, 11517, 1125, 1216, 21883, 538, 1016, 17882, 645, 269, 769, 8093, 1922, 3241, 539, 2371, 713, 3002, 4483, 814, 922, 5169, 538, 519, 13674, 540, 519, 4492, 563, 4504, 18166, 966, 8388, 5295, 12518, 19065, 374, 1103, 1016, 17882, 645, 267, 519, 1216, 11517, 21040, 998, 519, 17081, 267, 3384, 1379, 269, 634, 1216, 1287, 7873, 5151, 543, 7024, 547, 519, 15245, 563, 4504, 18166, 966, 8388, 5295, 12518, 19065, 374, 1103, 1016, 17882, 595, 267, 1379, 2919, 676, 519, 17081, 11479, 606, 3167, 11718, 563, 4504, 18166, 966, 8388, 5295, 12518, 19065, 374, 8138, 17882, 667, 18788, 1648, 676, 3002, 4483, 16109, 689, 9252, 7873, 14819, 538, 1016, 17882, 645, 563, 4504, 18166, 966, 8388, 5295, 12518, 19065, 374, 10376, 1770, 540, 2527, 540, 1216, 21237, 25457, 513, 5687, 17871, 4783, 607, 621, 6933, 919, 998, 519, 3334, 540, 1016, 17882, 645, 269, 901, 4783, 568, 519, 24419, 710, 4783, 563, 20175, 18888, 5623, 19065, 374, 763, 1101, 1876, 540, 32721, 3340, 519, 2121, 960, 2919, 676, 513, 1062, 18460, 513, 1379, 4783, 547, 3160, 519, 2121, 1648, 3773, 676, 3002, 4483, 547, 519, 1062, 281, 19065, 374, 763, 8143, 4398, 540, 513, 1379, 4783, 568, 654, 4783, 815, 1627, 538, 1107, 1627, 856, 3980, 503, 4501, 503, 4501, 503, 3980, 503, 3980, 503, 3980, 503, 454, 20175, 18888, 5623, 19065, 374, 763, 2034, 1876, 540, 32721, 3340, 519, 8143, 4398, 547, 581, 1447, 982, 476, 1911, 10065, 4107, 540, 2221, 779, 11517, 1379, 2371, 723, 8143, 31931, 8151, 909, 547, 827, 476, 2412, 10065, 19065, 374, 307, 615, 7356, 4398, 11148, 547, 2333, 607, 519, 3328, 2837, 693, 799, 1648, 568, 3773, 676, 3002, 4483, 4679, 543, 5924, 519, 3328, 2837, 693, 799, 1648, 568, 15653, 676, 3002, 4483, 11081, 269, 19065, 374, 18719, 1386, 5687, 17871, 2773, 540, 1379, 9979, 267, 607, 6027, 676, 2799, 8143, 4398, 267, 585, 1383, 267, 849, 9311, 625, 519, 5786, 540, 9048, 951, 4850, 543, 9271, 269, 19065, 374, 763, 6708, 540, 4824, 1379, 4783, 2773, 568, 3908, 267, 2705, 267, 676, 10148, 13684, 676, 32721, 543, 9297, 563, 21328, 13335, 281, 18815, 623, 626, 517, 595, 2643, 5407, 7010, 623, 626, 517, 12718, 1949, 616, 4922, 1031, 1703, 1599, 568, 547, 4483, 7269, 543, 13496, 1648, 1689, 883, 5276, 5163, 543, 5555, 27414, 5163, 269, 10241, 281, 594, 269, 595, 269, 9817, 267, 17453, 795, 2931, 267, 17919, 2011, 1790, 2794, 267, 17891, 4870, 1807, 3092, 269, 853, 6593, 284, 290, 17213, 5858, 8006, 269, 634, 12718, 3259, 1590, 2312, 519, 1439, 547, 1439, 5163, 540, 519, 8220, 11425, 269, 634, 24999, 4320, 11225, 519, 13496, 5223, 269, 634, 645, 17584, 4320, 11225, 519, 12718, 4390, 269, 634, 2604, 267, 2837, 543, 4320, 1369, 519, 12718, 616, 1644, 543, 3313, 1379, 3977, 269, 0, 4517, 1498, 1034, 13151, 28684, 666, 13021, 1055, 8697, 2694, 267, 621, 568, 2141, 1434, 547, 3533, 4894, 7745, 267, 30428, 267, 610, 4666, 3762, 267, 11710, 543, 8768, 26106, 802, 269, 2560, 5221, 1007, 2208, 3335, 28667, 2282, 519, 1439, 540, 2759, 7475, 267, 3274, 32566, 11710, 547, 1141, 596, 1616, 1007, 2208, 547, 10836, 563, 2467, 1993, 267, 1018, 798, 596, 798, 609, 7745, 30362, 3762, 888, 306, 3058, 513, 7745, 11325, 30362, 5673, 593, 519, 3441, 269, 1403, 519, 3762, 1376, 547, 2887, 267, 596, 666, 1175, 1577, 873, 3819, 585, 1614, 2395, 269, 1403, 519, 6565, 568, 1232, 777, 18469, 267, 1832, 621, 2476, 2394, 621, 4991, 1289, 4310, 269, 1879, 596, 5469, 891, 2242, 267, 596, 666, 1287, 1747, 621, 593, 28693, 3037, 267, 543, 621, 3580, 1332, 5072, 538, 513, 1906, 4374, 563, 3080, 949, 849, 2307, 267, 1946, 30362, 3762, 2887, 1055, 888, 3963, 616, 3762, 9991, 1055, 707, 13151, 28684, 286, 634, 1034, 1455, 2601, 568, 14450, 2152, 269, 18320, 1454, 1216, 666, 2014, 519, 3762, 547, 2220, 749, 267, 1831, 2571, 543, 1660, 1506, 267, 543, 5555, 2887, 1055, 269, 27817, 602, 2887, 1055, 689, 936, 22476, 2408, 6632, 543, 1660, 1506, 267, 543, 519, 6565, 949, 2408, 25858, 344, 563, 4692, 13151, 28684, 12115, 2933, 888, 2252, 707, 13151, 28684, 723, 2168, 3441, 789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 3463, 540, 5323, 14563, 267, 635, 320, 267, 543, 993, 1584, 566, 540, 513, 1560, 851, 269, 901, 568, 17216, 1018, 6266, 540, 15847, 7218, 616, 1034, 18901, 540, 563, 1103, 1931, 547, 4217, 1346, 609, 7392, 476, 273, 3987, 945, 3494, 972, 568, 1100, 10826, 585, 741, 2783, 267, 519, 1982, 3091, 513, 3099, 540, 5574, 563, 10303, 519, 4191, 543, 4191, 540, 7392, 476, 273, 15847, 2043, 8428, 267, 519, 12128, 5191, 1982, 3091, 513, 2688, 5314, 4480, 602, 2337, 538, 6923, 27955, 3987, 269, 21894, 519, 1377, 540, 707, 15847, 4191, 267, 519, 1982, 2488, 513, 1900, 8386, 9912, 6051, 4480, 269, 9747, 267, 1310, 513, 2016, 7274, 540, 942, 267, 519, 5650, 786, 4217, 596, 538, 13059, 3514, 563, 10376, 3184, 540, 519, 1433, 12128, 5191, 779, 1871, 1790, 871, 3042, 4566, 585, 3987, 30729, 2488, 13181, 3877, 269, 5637, 2085, 543, 4087, 616, 19957, 269, 15907, 519, 8608, 267, 519, 6221, 568, 1031, 676, 9038, 543, 8951, 538, 741, 3735, 476, 1789, 338, 547, 741, 476, 3583, 338, 563, 1692, 1281, 12128, 5191, 7500, 1287, 286, 2913, 779, 2263, 3388, 972, 568, 547, 1451, 827, 519, 2067, 2126, 563, 1692, 568, 519, 12128, 5191, 1982, 547, 581, 4553, 888, 9617, 513, 476, 274, 9912, 7014, 2115, 547, 581, 4553, 538, 1931, 547, 3035, 12128, 5191, 269, 634, 12128, 5191, 1899, 540, 1587, 11338, 2882, 2866, 3381, 15985, 956, 269, 1452, 616, 519, 476, 274, 3527, 912, 763, 7754, 17759, 10163, 691, 12594, 4643, 267, 2962, 476, 272, 454, 1607, 3942, 30242, 547, 6633, 519, 5739, 26307, 602, 1628, 909, 543, 2061, 519, 18558, 689, 6721, 7378, 543, 2324, 6707, 563, 763, 3334, 7074, 538, 713, 5123, 948, 538, 14874, 3043, 3170, 543, 19620, 3339, 1418, 1599, 269, 634, 6980, 786, 2253, 547, 798, 741, 2816, 267, 543, 596, 3580, 1745, 1454, 1732, 563, 763, 1101, 3942, 568, 10483, 609, 513, 476, 276, 8686, 8721, 10189, 602, 6227, 519, 1739, 5396, 912, 17954, 752, 9724, 5347, 625, 602, 786, 5351, 538, 519, 8781, 540, 3043, 3170, 2281, 454, 15933, 338, 602, 835, 1058, 8532, 547, 6175, 519, 3170, 602, 814, 19017, 1472, 519, 18558, 543, 6797, 563, 288, 7008, 540, 19719, 547, 1331, 538, 707, 2732, 1544, 563, 288, 4015, 540, 19140, 29225, 602, 666, 581, 1031, 547, 948, 519, 1560, 2973, 572, 267, 9004, 3043, 3170, 2281, 267, 543, 26193, 26351, 563, 299, 1077, 1973, 7280, 2157, 676, 476, 1789, 260, 950, 14546, 616, 3144, 538, 1991, 547, 6980, 563, 3528, 1739, 519, 12128, 5191, 6396, 267, 596, 666, 11177, 707, 18558, 685, 10342, 1510, 1210, 1022, 5739, 5820, 563, 763, 9466, 15310, 4425, 24031, 4643, 267, 476, 273, 526, 1900, 912, 763, 5739, 3043, 3170, 568, 8697, 607, 6960, 3170, 2157, 2333, 269, 1635, 1210, 12128, 5191, 267, 14432, 3170, 568, 4957, 609, 2635, 3170, 563, 19669, 3170, 13621, 568, 9090, 2877, 269, 634, 12128, 5191, 1982, 5161, 540, 519, 1739, 538, 713, 2962, 912, 288, 3381, 602, 9727, 606, 2653, 267, 1079, 18826, 3635, 20786, 602, 2337, 538, 2597, 2530, 454, 763, 3381, 849, 4967, 476, 274, 1973, 4006, 268, 869, 1359, 16098, 602, 596, 666, 723, 1310, 513, 5618, 3460, 610, 7594, 856, 563, 3721, 476, 274, 281, 10613, 585, 7033, 532, 2725, 1023, 547, 16473, 7392, 476, 273, 12128, 454, 8512, 7781, 3536, 991, 547, 1175, 581, 10057, 693, 1880, 2053, 269, 1411, 786, 1265, 4808, 602, 786, 948, 596, 942, 707, 6980, 538, 713, 3942, 563, 3080, 2110, 2759, 547, 5883, 1973, 4006, 2157, 568, 12128, 5191, 269, 901, 5123, 12909, 827, 1018, 3536, 666, 581, 3144, 538, 693, 1018, 942, 540, 519, 1554, 269, 6733, 693, 782, 621, 3568, 563, 288, 476, 2568, 29364, 14254, 11360, 585, 32626, 1032, 11789, 602, 4465, 1406, 4734, 596, 17237, 543, 786, 11338, 2333, 707, 1648, 563, 293, 3739, 13000, 602, 596, 666, 8532, 538, 1063, 6980, 563, 1692, 547, 8415, 12557, 2553, 547, 8190, 707, 1648, 1377, 1247, 8781, 3170, 689, 707, 25427, 338, 267, 1394, 267, 855, 1206, 267, 543, 17737, 269, 769, 3829, 1793, 3784, 786, 11338, 581, 1500, 2009, 563, 290, 2642, 568, 519, 1655, 942, 547, 3548, 28916, 543, 11950, 563, 18744, 519, 4013, 3135, 568, 519, 1152, 1747, 547, 1205, 12128, 5191, 269, 901, 568, 2944, 547, 1118, 519, 12128, 5191, 1982, 811, 6578, 7888, 585, 519, 1982, 779, 3755, 563, 30048, 5191, 568, 6035, 585, 585, 1269, 4391, 563, 2791, 4309, 513, 9488, 12128, 5191, 8261, 543, 723, 7525, 1569, 547, 782, 519, 6119, 563, 4322, 6119, 616, 6035, 585, 4647, 267, 543, 596, 666, 946, 1022, 3926, 547, 1569, 873, 269, 1717, 621, 779, 711, 519, 1152, 4324, 269, 589, 476, 2568, 6377, 2724, 25746, 22059, 568, 1031, 563, 763, 12128, 5191, 1982, 2488, 513, 2688, 5314, 4480, 602, 20674, 538, 6923, 27955, 3987, 2094, 519, 23053, 543, 4191, 540, 7392, 476, 273, 15847, 1004, 8428, 269, 3962, 3184, 540, 519, 1433, 12128, 5191, 779, 1871, 1790, 871, 3042, 4566, 585, 3987, 2490, 19925, 2488, 13181, 9623, 269, 0, 20777, 4214, 281, 634, 4214, 540, 4570, 568, 1945, 2500, 267, 16155, 11006, 610, 2111, 547, 16641, 1843, 542, 269, 630, 611, 11187, 264, 1323, 1383, 540, 4570, 568, 513, 9920, 781, 12689, 602, 18387, 1405, 1163, 1600, 563, 20777, 4214, 281, 476, 272, 269, 1759, 593, 5168, 610, 2601, 282, 2111, 547, 581, 7608, 281, 476, 273, 269, 589, 19044, 610, 824, 3561, 568, 4570, 952, 621, 568, 16634, 6258, 811, 269, 4239, 476, 2537, 267, 476, 1001, 277, 5788, 13405, 547, 519, 5385, 540, 1344, 267, 513, 2596, 543, 1271, 3693, 540, 1434, 2792, 568, 519, 21533, 543, 15418, 540, 5013, 602, 786, 581, 24829, 269, 1677, 19472, 1239, 267, 3617, 4255, 991, 547, 581, 2196, 267, 971, 607, 4881, 519, 1239, 998, 1870, 2665, 267, 32636, 4152, 267, 543, 2013, 3631, 269, 4570, 4214, 281, 634, 4214, 540, 4570, 568, 1945, 2500, 267, 16155, 11006, 610, 2111, 547, 16641, 1843, 542, 269, 630, 611, 11187, 264, 1323, 1383, 540, 4570, 568, 513, 9920, 781, 12689, 602, 18387, 1405, 1163, 1600, 269, 7325, 476, 2190, 267, 476, 1708, 271, 5788, 4406, 573, 4214, 281, 589, 4570, 4661, 267, 6085, 2073, 610, 2856, 568, 1759, 593, 24534, 7744, 1547, 1923, 12791, 267, 12332, 267, 16627, 543, 1806, 7325, 476, 2190, 267, 476, 1708, 271, 5788, 4406, 7190, 4214, 281, 634, 14496, 540, 1945, 971, 607, 513, 1267, 610, 513, 4062, 540, 1344, 568, 2436, 621, 666, 581, 1923, 12791, 267, 12332, 267, 16627, 543, 1806, 634, 18781, 610, 2376, 834, 10472, 257, 1110, 5809, 834, 15574, 2437, 513, 13737, 267, 865, 834, 10472, 257, 568, 2953, 269, 898, 17648, 602, 519, 5467, 6487, 602, 834, 15574, 257, 568, 13288, 547, 834, 639, 20713, 543, 10957, 1701, 1403, 3079, 596, 6999, 547, 946, 834, 10472, 270, 29006, 257, 607, 21770, 267, 596, 1522, 2328, 1945, 899, 281, 634, 27024, 543, 10957, 616, 7508, 269, 594, 991, 891, 1318, 2476, 563, 10303, 540, 519, 2470, 540, 9504, 267, 621, 781, 9415, 602, 1004, 3168, 585, 1344, 1058, 2119, 547, 1265, 621, 2933, 538, 519, 1101, 3236, 269, 1403, 267, 2705, 267, 596, 2097, 2066, 4570, 1344, 7508, 689, 9504, 267, 581, 12050, 543, 1039, 621, 3054, 865, 1866, 666, 2744, 689, 707, 1382, 267, 1932, 256, 6423, 849, 269, 9504, 281, 288, 11001, 781, 3391, 547, 4901, 3817, 454, 15761, 24219, 5215, 540, 7044, 1625, 1636, 532, 547, 581, 827, 3987, 267, 594, 20240, 2436, 519, 1344, 3254, 598, 13257, 547, 4570, 2564, 4808, 269, 594, 1336, 602, 519, 1034, 2442, 543, 2502, 7044, 616, 3648, 1447, 2693, 547, 723, 1199, 1227, 4570, 1344, 269, 20305, 3335, 7237, 7044, 593, 1072, 2175, 998, 20438, 19707, 593, 13334, 563, 26239, 11618, 585, 4570, 693, 634, 28445, 2593, 609, 1863, 2228, 519, 28445, 267, 1884, 11618, 267, 543, 8847, 269, 4855, 10855, 8925, 585, 4570, 563, 288, 811, 10427, 1239, 15418, 6296, 1131, 2638, 547, 1294, 519, 3593, 1185, 9411, 513, 4570, 2197, 3009, 267, 1775, 4318, 1421, 602, 519, 1297, 540, 9704, 9411, 20083, 519, 15007, 585, 519, 2197, 610, 1858, 9138, 269, 589, 15418, 1184, 3322, 1079, 3982, 3268, 281, 630, 320, 264, 4406, 9179, 6744, 543, 630, 321, 264, 5403, 4211, 515, 1188, 2962, 269, 19926, 13932, 269, 2004, 279, 21964, 543, 12607, 17007, 585, 799, 606, 28431, 568, 2838, 269, 630, 320, 264, 9208, 281, 8191, 3074, 585, 3096, 543, 12607, 17007, 734, 630, 272, 264, 8191, 1436, 2838, 281, 4937, 4341, 269, 31453, 607, 6382, 15868, 610, 2838, 676, 713, 1016, 577, 1986, 267, 513, 4988, 11769, 949, 711, 946, 610, 30035, 6870, 1072, 1344, 1510, 606, 28431, 602, 568, 4570, 896, 713, 3296, 269, 1280, 513, 4570, 15894, 3556, 596, 723, 547, 29506, 1125, 585, 513, 16048, 15894, 3556, 1615, 21838, 269, 1411, 991, 547, 3442, 519, 1034, 8076, 543, 6325, 3556, 1615, 21838, 267, 607, 621, 568, 513, 2339, 540, 6161, 1317, 707, 2123, 1344, 568, 693, 7196, 269, 4406, 573, 4214, 568, 910, 2348, 3656, 12117, 610, 3196, 282, 2523, 2433, 13401, 609, 519, 1697, 3656, 6392, 543, 6101, 885, 269, 1215, 547, 946, 4570, 538, 513, 4845, 269, 14271, 7716, 17564, 540, 4570, 269, 4570, 1239, 4214, 538, 2296, 8675, 267, 4570, 1239, 2495, 267, 19655, 267, 1294, 849, 1412, 20777, 569, 3299, 20777, 622, 3299, 1998, 7190, 3299, 20777, 1145, 8339, 2037, 5341, 707, 6863, 609, 519, 2296, 9502, 8675, 14271, 11618, 585, 4570, 693, 634, 28445, 2593, 609, 1863, 2228, 519, 28445, 267, 1884, 11618, 267, 543, 8847, 269, 4855, 10855, 8925, 585, 4570, 269, 0, 10907, 23359, 16493, 616, 513, 2442, 1259, 540, 18071, 707, 5172, 6337, 610, 11247, 538, 513, 2413, 267, 31933, 1259, 269, 1358, 616, 849, 1634, 607, 28778, 8666, 7161, 267, 28778, 8666, 8440, 267, 610, 3274, 28778, 16493, 269, 3600, 23359, 16493, 616, 1500, 676, 8228, 707, 3239, 2047, 5196, 513, 6656, 540, 28778, 267, 799, 568, 1287, 20483, 609, 513, 3043, 1570, 547, 3986, 519, 3239, 779, 5854, 3599, 543, 2681, 269, 769, 713, 2376, 267, 649, 786, 1491, 596, 998, 519, 1184, 540, 1818, 28778, 16493, 563, 6524, 649, 2253, 267, 1577, 779, 5531, 782, 519, 2326, 649, 991, 269, 4107, 540, 519, 2326, 666, 581, 1336, 693, 513, 2199, 1148, 3761, 4558, 610, 2228, 269, 3371, 779, 1018, 596, 3580, 991, 912, 268, 589, 1164, 22822, 3239, 610, 11247, 454, 268, 589, 6656, 540, 28778, 630, 2181, 2536, 2406, 476, 272, 270, 275, 10759, 5394, 994, 268, 589, 3043, 25380, 1570, 630, 7945, 607, 3043, 31668, 610, 546, 756, 1180, 994, 268, 589, 16590, 609, 513, 8559, 4718, 13613, 454, 268, 5776, 26160, 610, 4410, 338, 585, 16304, 454, 268, 589, 17065, 32607, 610, 16945, 454, 268, 27686, 2326, 630, 7945, 607, 513, 29370, 9200, 12308, 543, 27012, 4568, 994, 3086, 602, 649, 723, 782, 519, 2326, 267, 1577, 779, 1205, 3323, 593, 1818, 938, 28778, 16493, 563, 3721, 476, 272, 281, 7994, 2659, 12005, 454, 763, 1101, 1900, 568, 547, 3442, 519, 3239, 596, 1616, 547, 1820, 269, 5269, 2386, 519, 3239, 568, 1164, 22822, 543, 540, 1434, 2298, 607, 713, 786, 1860, 519, 3803, 1267, 540, 707, 28778, 1820, 563, 3721, 476, 273, 281, 7179, 2659, 12005, 454, 5629, 596, 723, 707, 3239, 267, 596, 991, 547, 1820, 621, 5196, 519, 6656, 540, 28778, 269, 1411, 666, 798, 713, 676, 2921, 707, 3239, 547, 513, 3318, 8228, 3028, 610, 676, 1210, 513, 7463, 17002, 693, 1753, 563, 3721, 476, 274, 281, 16259, 2659, 7982, 532, 7698, 454, 4407, 707, 3239, 568, 1373, 9102, 267, 596, 666, 5965, 707, 25380, 1570, 269, 12338, 519, 25380, 1570, 547, 519, 1482, 2450, 607, 519, 28778, 6656, 543, 16590, 9475, 1141, 596, 1616, 547, 1747, 707, 1796, 26160, 610, 4410, 338, 563, 3721, 476, 275, 281, 11162, 2659, 3600, 23359, 16847, 454, 5475, 707, 3239, 814, 1044, 9102, 5196, 519, 28778, 6656, 267, 2973, 621, 609, 513, 29370, 9200, 12308, 543, 27012, 4568, 269, 901, 786, 2327, 602, 972, 616, 1100, 1159, 644, 2471, 610, 9416, 21646, 593, 707, 28778, 1820, 563, 3721, 476, 276, 281, 15233, 519, 7982, 532, 7698, 454, 9202, 267, 4019, 519, 25380, 1570, 547, 519, 28778, 6656, 269, 5269, 2386, 621, 568, 10704, 543, 13988, 5265, 269, 2422, 513, 17065, 32607, 610, 16945, 547, 4894, 1022, 2011, 18616, 610, 32060, 563, 3721, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14354, 547, 7136, 645, 269, 4935, 267, 594, 4682, 609, 519, 13429, 602, 594, 1223, 798, 713, 1384, 293, 284, 300, 273, 265, 288, 454, 293, 19072, 273, 284, 288, 454, 288, 284, 476, 275, 270, 274, 269, 6349, 544, 4882, 317, 273, 692, 296, 23125, 594, 1223, 1287, 4019, 713, 547, 519, 2034, 3625, 780, 293, 284, 300, 272, 288, 454, 293, 284, 275, 269, 3607, 270, 275, 269, 6349, 715, 692, 296, 3403, 1540, 713, 543, 621, 729, 11234, 269, 1924, 267, 594, 23125, 602, 621, 5310, 729, 519, 3017, 1063, 519, 1079, 4229, 269, 901, 2626, 630, 273, 269, 280, 1428, 275, 264, 729, 11234, 607, 1134, 269, 594, 723, 711, 1256, 6836, 851, 536, 2943, 267, 6616, 602, 519, 1505, 3238, 568, 519, 1482, 269, 594, 4682, 547, 1353, 1895, 593, 13638, 543, 519, 1895, 6205, 10645, 602, 621, 1131, 1175, 581, 476, 275, 715, 269, 1306, 596, 666, 4440, 7058, 267, 602, 568, 11234, 607, 1134, 269, 7102, 948, 596, 666, 2285, 1131, 581, 1360, 15874, 780, 8310, 12995, 281, 4924, 476, 278, 267, 476, 1220, 279, 454, 273, 269, 4924, 476, 278, 267, 476, 1220, 279, 692, 2162, 1912, 13183, 558, 297, 599, 692, 1432, 568, 519, 1871, 540, 674, 286, 1411, 666, 1405, 2322, 513, 1297, 593, 519, 1871, 540, 519, 3346, 3196, 952, 519, 1871, 540, 674, 568, 711, 2016, 269, 898, 1131, 723, 547, 581, 5462, 607, 513, 1599, 674, 267, 1210, 1863, 1560, 12222, 780, 274, 269, 4924, 476, 278, 267, 476, 1220, 279, 692, 2162, 694, 747, 534, 692, 296, 6415, 20994, 268, 519, 1871, 540, 674, 568, 476, 275, 715, 269, 594, 29709, 547, 1826, 713, 538, 269, 594, 786, 1039, 621, 1318, 2476, 780, 275, 269, 4924, 476, 278, 267, 476, 1220, 279, 692, 2162, 1912, 13183, 558, 297, 599, 692, 10498, 267, 674, 284, 275, 301, 269, 2334, 781, 519, 4294, 3196, 269, 1411, 616, 1631, 3168, 585, 519, 3346, 3196, 1063, 519, 476, 273, 7161, 269, 4014, 519, 654, 833, 335, 4215, 3070, 630, 7474, 596, 7074, 264, 568, 2953, 267, 621, 568, 711, 513, 1434, 4358, 1448, 585, 513, 19444, 269, 1411, 4312, 3893, 547, 1376, 609, 519, 9238, 267, 13053, 781, 476, 273, 526, 1876, 267, 674, 5332, 564, 815, 8575, 269, 594, 9364, 1101, 1413, 607, 519, 1062, 540, 519, 476, 273, 7161, 607, 513, 2898, 267, 543, 4019, 13053, 476, 273, 547, 602, 1062, 630, 1492, 7161, 1590, 1847, 1927, 1040, 1548, 798, 596, 1205, 585, 519, 10231, 286, 3973, 2094, 1142, 2527, 4805, 1590, 17108, 693, 602, 1482, 1871, 267, 2721, 513, 1863, 1560, 6516, 540, 519, 476, 273, 526, 3625, 630, 7474, 568, 2073, 20586, 621, 689, 519, 824, 3625, 1070, 543, 4063, 519, 7164, 3346, 3196, 9117, 593, 621, 267, 543, 946, 13053, 476, 273, 1586, 547, 4194, 585, 621, 269, 1684, 519, 1482, 585, 3487, 645, 780, 276, 269, 4924, 476, 278, 267, 476, 1220, 279, 692, 2162, 694, 747, 534, 692, 14188, 596, 1360, 1454, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1704, 264, 676, 4657, 513, 7857, 780, 2005, 568, 513, 30251, 1297, 267, 2094, 621, 666, 581, 2854, 538, 476, 278, 2081, 607, 513, 2040, 540, 15654, 562, 4405, 1023, 267, 585, 1383, 267, 476, 6942, 1341, 3267, 1341, 476, 26316, 780, 2005, 568, 606, 12980, 1297, 267, 1317, 519, 1611, 540, 922, 16975, 568, 606, 8870, 1297, 630, 2735, 275, 6393, 22659, 26801, 568, 606, 3284, 32565, 1297, 780, 2005, 568, 606, 21443, 762, 1297, 780, 15171, 4391, 568, 513, 28119, 1297, 267, 2094, 621, 568, 3677, 982, 519, 2040, 540, 922, 1697, 16975, 630, 28091, 276, 6393, 15171, 4391, 568, 606, 1226, 573, 580, 1388, 1297, 267, 2094, 621, 3096, 607, 1454, 607, 9704, 607, 922, 26458, 780, 15171, 4391, 568, 606, 5212, 1190, 1297, 267, 1317, 519, 2040, 540, 922, 9352, 9704, 568, 9642, 780, 763, 2040, 540, 922, 6305, 2188, 568, 476, 4200, 780, 763, 1587, 540, 922, 9704, 568, 476, 14695, 267, 1247, 519, 2040, 568, 476, 1626, 780, 763, 4009, 3597, 540, 476, 15171, 4391, 568, 827, 476, 12893, 269, 32180, 14341, 5400, 274, 272, 269, 634, 12945, 3597, 540, 476, 15171, 4391, 568, 827, 476, 2537, 269, 277, 4649, 4391, 277, 271, 5655, 274, 780, 763, 10259, 540, 476, 15171, 4391, 538, 1913, 568, 834, 628, 597, 10117, 8536, 267, 1079, 4627, 13977, 5498, 1597, 6231, 19667, 30583, 281, 476, 272, 476, 278, 476, 4029, 476, 8618, 476, 24241, 476, 275, 2767, 476, 6245, 272, 476, 15171, 4391, 0, 258, 1772, 972, 606, 10026, 6169, 585, 519, 1249, 602, 1753, 31532, 28933, 1930, 5036, 538, 28070, 28805, 2496, 4131, 3230, 325, 281, 288, 1422, 11357, 3553, 1422, 13992, 23334, 11892, 333, 1422, 1729, 1422, 13992, 23334, 11892, 333, 2330, 581, 513, 1753, 31532, 5196, 922, 3239, 267, 1141, 3230, 288, 2330, 568, 606, 17062, 15410, 540, 6695, 13992, 23334, 11892, 333, 269, 2330, 594, 1616, 547, 1397, 602, 585, 1169, 1930, 1305, 3230, 308, 1422, 11357, 3553, 589, 2330, 630, 3602, 3230, 308, 2330, 568, 1930, 538, 6695, 13992, 23334, 11892, 333, 2330, 264, 519, 1305, 3230, 325, 263, 308, 14638, 568, 1930, 780, 296, 4718, 1644, 2055, 1141, 824, 3755, 2446, 827, 519, 12833, 926, 766, 540, 6389, 11532, 269, 594, 917, 602, 971, 11532, 814, 513, 2182, 6169, 269, 1809, 4063, 602, 519, 3834, 4925, 529, 540, 602, 11532, 568, 834, 2330, 325, 2330, 568, 513, 6024, 1979, 20287, 257, 543, 594, 993, 607, 636, 2719, 1945, 513, 2370, 6793, 281, 834, 2330, 325, 2330, 568, 606, 1753, 31532, 6231, 296, 6415, 3843, 547, 6961, 713, 11532, 676, 1210, 519, 1739, 20790, 1384, 3682, 6570, 476, 272, 269, 3230, 325, 281, 288, 1422, 11357, 3553, 1422, 13992, 23334, 11892, 333, 1422, 1729, 1422, 13992, 23334, 11892, 332, 2330, 568, 6024, 952, 543, 1152, 952, 585, 1169, 1930, 1305, 3230, 308, 1422, 11357, 3553, 1422, 13992, 23334, 11892, 332, 18079, 972, 2291, 606, 1930, 15410, 3230, 309, 315, 11357, 3553, 1422, 13992, 23334, 11892, 333, 2330, 971, 602, 3230, 325, 13064, 272, 12917, 308, 6661, 309, 315, 5115, 589, 269, 9681, 2005, 568, 2009, 3257, 621, 1210, 519, 20790, 476, 272, 2496, 1607, 568, 1250, 3801, 1384, 7712, 3230, 325, 2330, 568, 513, 1753, 31532, 267, 1287, 3230, 325, 13064, 272, 348, 281, 325, 10490, 264, 1422, 1729, 1422, 13992, 23334, 11892, 333, 2330, 568, 6024, 269, 1403, 3230, 308, 315, 11357, 3553, 1422, 13992, 23334, 11892, 333, 2330, 568, 1930, 267, 1287, 676, 1160, 6570, 476, 272, 649, 723, 930, 1930, 1305, 3230, 309, 1422, 11357, 3553, 1422, 13992, 23334, 11892, 333, 2330, 971, 602, 30967, 325, 13064, 272, 16585, 13064, 272, 12917, 308, 6661, 325, 263, 308, 6661, 309, 315, 5115, 535, 10490, 1040, 2330, 1287, 1862, 594, 729, 3843, 547, 6169, 602, 3230, 309, 315, 5115, 535, 10490, 14638, 568, 1930, 1210, 519, 15364, 540, 3230, 325, 267, 2330, 855, 594, 1205, 12758, 538, 713, 1900, 780, 1892, 1403, 596, 1611, 602, 1269, 325, 314, 308, 316, 259, 568, 1930, 538, 1269, 325, 314, 288, 316, 8961, 713, 568, 13128, 689, 519, 4214, 540, 1753, 31532, 269, 1403, 596, 1611, 602, 1269, 325, 314, 308, 316, 259, 568, 1930, 538, 4399, 289, 6277, 681, 18898, 8961, 621, 779, 711, 8209, 3020, 269, 1107, 1109, 289, 6929, 631, 269, 8845, 7325, 476, 1789, 1412, 736, 693, 476, 271, 281, 2641, 454, 1892, 7711, 289, 6929, 300, 2529, 22574, 670, 7795, 286, 1411, 616, 2016, 1269, 325, 314, 288, 316, 7807, 13992, 23334, 11892, 333, 10608, 1107, 1109, 12528, 9818, 276, 6078, 4343, 7325, 476, 1789, 1412, 736, 693, 476, 271, 281, 2190, 454, 1892, 7711, 12528, 9818, 276, 6078, 4343, 1269, 325, 10490, 7751, 568, 711, 8209, 3160, 547, 4399, 13992, 23334, 11892, 333, 259, 1107, 1109, 992, 3712, 7325, 476, 1789, 1412, 736, 693, 476, 271, 281, 1789, 454, 1892, 7711, 12528, 9818, 276, 6078, 4343, 281, 3143, 267, 649, 2461, 3274, 5143, 602, 4399, 289, 6277, 681, 18898, 259, 568, 519, 13798, 558, 664, 540, 1269, 325, 10608, 1656, 8197, 952, 1269, 325, 259, 568, 513, 1753, 31532, 267, 543, 1269, 288, 259, 568, 11741, 610, 711, 4448, 267, 585, 3236, 267, 1287, 1269, 325, 314, 288, 316, 259, 3112, 7654, 581, 782, 540, 4399, 289, 6277, 681, 18898, 10608, 1107, 1109, 289, 6929, 631, 269, 8845, 7325, 476, 1789, 1412, 736, 693, 476, 271, 281, 4343, 454, 1892, 7711, 289, 6929, 300, 2529, 22574, 834, 24610, 31532, 257, 11203, 834, 24610, 31532, 5196, 922, 3239, 2668, 1284, 616, 2016, 1269, 325, 315, 3712, 517, 589, 29540, 315, 13992, 23334, 11892, 333, 259, 568, 513, 1753, 31532, 267, 711, 1269, 325, 315, 3712, 517, 589, 29540, 315, 13992, 23334, 11892, 333, 259, 568, 513, 1753, 31532, 5196, 922, 3239, 269, 1107, 1109, 12528, 9818, 276, 6078, 4343, 7325, 476, 1789, 1412, 736, 693, 476, 271, 281, 5655, 692, 288, 1753, 31532, 568, 513, 22833, 2632, 514, 6681, 1979, 20287, 630, 15193, 922, 3239, 4534, 32118, 267, 2094, 602, 568, 2141, 1018, 834, 2330, 325, 281, 311, 1422, 21375, 962, 2330, 568, 513, 1496, 4820, 7781, 4786, 1362, 316, 257, 1797, 1040, 1306, 621, 568, 513, 1979, 20287, 267, 621, 814, 606, 11201, 269, 645, 545, 2632, 514, 6681, 1797, 602, 1312, 519, 4786, 543, 922, 11201, 616, 6024, 282, 5973, 1836, 267, 519, 4786, 568, 1312, 606, 1930, 4786, 543, 513, 6024, 4786, 269, 630, 1862, 543, 1312, 3601, 3180, 585, 519, 11201, 4786, 24355, 3682, 6570, 476, 272, 568, 1932, 2489, 547, 6961, 519, 11532, 269, 1160, 6570, 476, 272, 1590, 2328, 834, 2330, 309, 1422, 5115, 589, 2330, 257, 2094, 782, 602, 666, 581, 16219, 568, 602, 519, 840, 13548, 540, 606, 1930, 1305, 568, 5266, 1930, 538, 3230, 288, 21974, 1306, 513, 1360, 2653, 1383, 267, 1491, 3230, 288, 2330, 6806, 538, 6695, 289, 6277, 23334, 11892, 333, 2330, 543, 585, 3230, 308, 2330, 1491, 1022, 1930, 1305, 5627, 3230, 325, 10490, 14638, 269, 3973, 3230, 325, 13064, 272, 12917, 308, 264, 815, 589, 18079, 865, 568, 6806, 538, 6695, 289, 6277, 23334, 11892, 333, 2330, 543, 5266, 1930, 538, 3230, 288, 29634, 288, 6405, 1383, 950, 3230, 333, 2999, 544, 2330, 281, 2913, 3230, 288, 815, 1496, 271, 267, 272, 316, 18079, 513, 6806, 1305, 538, 6695, 289, 6277, 23334, 11892, 272, 18079, 543, 1577, 3230, 325, 281, 288, 1422, 11357, 3553, 1422, 289, 6277, 23334, 11892, 272, 1422, 21375, 1422, 289, 6277, 23334, 11892, 273, 2433, 630, 343, 264, 1422, 14090, 560, 334, 630, 343, 267, 271, 14638, 269, 3973, 1491, 585, 3230, 308, 2330, 519, 1930, 3440, 10704, 693, 30967, 271, 267, 271, 14638, 540, 8953, 3230, 273, 21974, 4595, 3230, 325, 10490, 264, 1422, 11357, 3553, 772, 18079, 649, 666, 1491, 1022, 1930, 1305, 538, 6695, 289, 6277, 23334, 6525, 602, 3568, 3230, 288, 2330, 607, 3230, 309, 18079, 585, 3236, 267, 3230, 309, 815, 11196, 272, 267, 274, 14638, 269, 3973, 3230, 325, 13064, 272, 12917, 308, 264, 815, 966, 1422, 5115, 589, 815, 589, 18079, 855, 602, 10167, 568, 711, 1930, 630, 514, 6695, 289, 6277, 23334, 6525, 5148, 602, 10167, 568, 5266, 1930, 538, 3230, 288, 29634, 288, 6405, 1383, 950, 3230, 333, 3436, 544, 2330, 281, 2913, 3230, 288, 815, 1496, 271, 267, 272, 316, 1422, 9392, 1496, 271, 267, 272, 316, 18079, 513, 6806, 1305, 538, 6695, 289, 6277, 23334, 11892, 273, 18079, 543, 1577, 3230, 325, 281, 288, 1422, 11357, 3553, 1422, 289, 6277, 23334, 11892, 273, 1422, 21375, 1422, 289, 6277, 23334, 11892, 272, 281, 630, 343, 11971, 264, 1422, 14090, 560, 334, 630, 343, 14638, 269, 3973, 1491, 585, 3230, 308, 2330, 519, 1930, 3440, 10704, 693, 30967, 271, 14638, 540, 8953, 3230, 273, 21974, 4595, 3230, 325, 10490, 264, 1422, 11357, 3553, 772, 18079, 649, 666, 1491, 1022, 1930, 1305, 538, 6695, 289, 6277, 23334, 11892, 273, 2330, 602, 3568, 3230, 288, 2330, 585, 3230, 309, 18079, 585, 3236, 3230, 8987, 272, 267, 274, 264, 1422, 9392, 11196, 272, 267, 274, 14638, 269, 3973, 3230, 325, 13064, 272, 12917, 308, 264, 815, 966, 1422, 5115, 589, 815, 589, 18079, 855, 602, 10167, 568, 711, 1930, 538, 6695, 289, 6277, 23334, 11892, 273, 2330, 282, 602, 10167, 568, 5266, 1930, 538, 3230, 288, 29634, 5804, 891, 1079, 1806, 267, 649, 1294, 602, 20790, 476, 272, 1590, 723, 834, 2330, 309, 1422, 5115, 589, 2330, 257, 538, 922, 3932, 950, 3230, 333, 1422, 928, 336, 544, 29634, 306, 15036, 2027, 4523, 950, 3230, 333, 815, 544, 2330, 543, 602, 1945, 2027, 568, 711, 9676, 676, 20790, 476, 272, 269, 769, 1880, 267, 519, 1753, 31532, 538, 519, 20790, 585, 3230, 333, 1422, 928, 336, 544, 2330, 834, 322, 6350, 1127, 257, 29162, 540, 519, 3677, 2230, 547, 29162, 540, 519, 4130, 2230, 630, 531, 784, 2901, 3230, 325, 2330, 610, 3230, 325, 13064, 272, 6525, 4470, 267, 6606, 267, 593, 2436, 3230, 333, 2330, 610, 3230, 332, 2330, 568, 3677, 1040, 630, 13914, 827, 713, 538, 519, 2796, 540, 23223, 766, 540, 6389, 281, 519, 3239, 540, 513, 1753, 31532, 5654, 899, 513, 7654, 25649, 267, 27390, 267, 543, 25302, 32750, 540, 519, 6389, 269, 1879, 3230, 333, 267, 519, 3239, 3112, 581, 1930, 1317, 519, 3239, 3112, 2270, 606, 1930, 3440, 538, 6695, 289, 6277, 23334, 11892, 332, 21974, 1879, 3230, 333, 3436, 544, 18079, 519, 1482, 4661, 10039, 547, 519, 11201, 4700, 1879, 3230, 333, 815, 544, 18079, 972, 616, 1100, 834, 29715, 687, 257, 2059, 799, 513, 1753, 31532, 568, 15868, 971, 11493, 267, 855, 20790, 476, 272, 1281, 711, 723, 513, 5094, 3932, 585, 713, 2013, 267, 865, 1281, 711, 7001, 713, 3606, 23061, 950, 3230, 333, 815, 544, 29634, 8170, 1576, 267, 4376, 1008, 762, 676, 6169, 1062, 3230, 303, 2330, 666, 581, 8810, 538, 3230, 303, 1422, 24189, 1422, 3667, 346, 303, 1886, 269, 476, 272, 6525, 267, 676, 24937, 20790, 476, 272, 269, 901, 666, 1405, 2731, 581, 1767, 547, 2743, 707, 21205, 834, 335, 6372, 3257, 621, 1210, 519, 20790, 476, 272, 6231, 1892, 1269, 325, 263, 308, 7751, 568, 540, 1576, 1930, 538, 1269, 325, 10490, 29408, 855, 594, 1589, 519, 20525, 6499, 547, 1397, 602, 1269, 325, 263, 308, 7751, 568, 1930, 538, 4399, 13992, 23334, 11892, 333, 10608, 2334, 781, 711, 24735, 269, 1107, 1109, 25405, 1408, 674, 29531, 7325, 476, 1789, 1412, 736, 693, 476, 866, 281, 3374, 454, 1892, 7711, 25405, 1408, 293, 29531, 2433, 20525, 1281, 711, 2307, 585, 513, 6169, 540, 519, 11532, 269, 769, 19220, 540, 713, 267, 594, 723, 3773, 2300, 745, 857, 908, 1469, 547, 519, 4661, 602, 1269, 325, 263, 308, 7751, 568, 1930, 538, 4399, 289, 6277, 23334, 11892, 333, 10608, 634, 1152, 1761, 1875, 13700, 20190, 640, 568, 1269, 325, 7268, 9507, 346, 842, 4153, 267, 288, 264, 815, 1422, 9507, 346, 842, 4153, 267, 325, 10490, 29408, 799, 4667, 693, 1034, 552, 27432, 2484, 689, 513, 24735, 640, 547, 1250, 3750, 269, 20525, 12134, 585, 513, 6169, 1210, 20790, 476, 272, 267, 799, 20790, 3884, 1405, 1459, 538, 1250, 4661, 269, 630, 2005, 1281, 2408, 538, 519, 5532, 6169, 4700, 1107, 1109, 292, 878, 570, 10183, 7325, 476, 1789, 1412, 736, 693, 476, 2641, 281, 6812, 454, 1892, 594, 1589, 649, 723, 513, 2165, 514, 1670, 1966, 269, 1635, 834, 320, 1753, 31532, 5196, 922, 3239, 257, 519, 20525, 1797 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 4371, 7466, 513, 1032, 538, 4989, 5336, 599, 543, 5239, 9539, 4912, 269, 634, 1225, 14152, 543, 1272, 23918, 3292, 616, 7658, 4751, 539, 18487, 563, 7704, 10870, 2286, 562, 3930, 24664, 852, 267, 2337, 1053, 1205, 2347, 1344, 827, 22078, 5308, 4604, 630, 13233, 4659, 540, 7046, 3427, 532, 264, 609, 18006, 5049, 602, 5965, 1053, 585, 21757, 562, 3930, 11400, 267, 21038, 543, 24875, 585, 476, 1015, 628, 1299, 476, 1321, 628, 1053, 540, 22078, 5308, 8274, 676, 11727, 5234, 543, 30157, 945, 723, 513, 5756, 1995, 540, 562, 3930, 6437, 269, 9399, 3213, 2286, 22078, 5308, 24664, 852, 267, 849, 2337, 538, 1106, 11423, 585, 23504, 538, 1142, 6908, 630, 6894, 476, 272, 267, 6908, 476, 273, 267, 6908, 476, 274, 1299, 476, 275, 264, 540, 22078, 5308, 8274, 585, 476, 1015, 628, 543, 476, 1321, 628, 16075, 32339, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 15079, 2668, 8971, 4311, 14857, 7290, 3890, 4917, 1038, 1820, 2891, 7290, 1295, 281, 15079, 2668, 8971, 263, 2381, 4311, 14857, 7290, 28829, 3738, 994, 1038, 1820, 2891, 7290, 3193, 281, 15079, 2668, 8971, 32384, 4311, 14857, 7290, 28829, 3738, 994, 1038, 1820, 2891, 7290, 546, 604, 281, 15079, 2668, 8971, 32384, 4311, 14857, 7290, 28829, 476, 910, 1295, 4311, 14857, 7290, 28829, 3738, 994, 1038, 1820, 2891, 16557, 281, 15079, 2668, 8971, 4311, 269, 16557, 3890, 11723, 825, 1219, 1820, 5334, 1828, 4311, 2187, 1038, 585, 1775, 538, 1582, 269, 758, 912, 2018, 1820, 9217, 2020, 3698, 1292, 10031, 825, 1655, 815, 8827, 4590, 825, 585, 9041, 538, 2039, 263, 1911, 271, 2187, 1038, 10917, 815, 8827, 4590, 1038, 952, 1655, 269, 16557, 3890, 3436, 10917, 269, 16557, 10031, 2018, 1655, 815, 10917, 454, 825, 1655, 31428, 318, 3650, 518, 4590, 825, 1655, 31428, 5334, 1828, 10797, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 1477, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 5897, 5814, 5168, 4671, 762, 1477, 5814, 11885, 1477, 5814, 2979, 24653, 18257, 1477, 294, 1115, 519, 7222, 31632, 5044, 585, 606, 1535, 6152, 585, 2016, 1496, 328, 25814, 316, 538, 519, 31016, 965, 3349, 23228, 1607, 1599, 568, 1572, 538, 1169, 21767, 540, 519, 25347, 4565, 3430, 829, 1061, 1258, 1565, 5690, 23228, 9827, 7696, 338, 513, 910, 272, 585, 536, 27927, 543, 20362, 519, 21325, 538, 519, 31632, 5044, 910, 2220, 2355, 873, 585, 513, 910, 272, 23228, 18257, 5897, 3698, 1985, 318, 11355, 13448, 6025, 337, 3578, 4671, 762, 267, 1775, 267, 795, 8029, 825, 512, 339, 21223, 2211, 815, 5168, 4671, 762, 10947, 4671, 337, 3578, 16229, 9217, 267, 795, 3418, 825, 1605, 332, 318, 553, 23919, 815, 512, 339, 21223, 2211, 19709, 13892, 3488, 583, 325, 268, 279, 20298, 825, 1654, 322, 13448, 815, 1496, 842, 16216, 2211, 264, 585, 3693, 538, 1605, 332, 318, 553, 23919, 15947, 825, 1654, 322, 13448, 27044, 263, 271, 267, 910, 272, 3418, 825, 1654, 322, 13448, 815, 30585, 272, 952, 1535, 2652, 476, 271, 3116, 1535, 585, 1535, 538, 1654, 322, 13448, 15947, 825, 1654, 322, 13448, 815, 11885, 15126, 263, 11355, 13448, 3418, 825, 2132, 1654, 322, 13448, 5897, 18257, 1477, 303, 6506, 519, 2597, 6152, 7222, 547, 513, 1412, 272, 262, 538, 519, 1267, 3349, 585, 1496, 328, 25814, 316, 31016, 965, 30455, 23228, 763, 2597, 6152, 568, 813, 2105, 676, 513, 476, 272, 630, 25987, 345, 2597, 3418, 18257, 5897, 3698, 1205, 318, 2158, 263, 1777, 267, 1775, 267, 795, 8029, 825, 512, 339, 21223, 2211, 815, 512, 339, 10947, 4671, 337, 3578, 16229, 9217, 267, 795, 3418, 825, 1605, 332, 318, 553, 23919, 815, 512, 339, 21223, 2211, 19709, 13892, 3488, 583, 325, 268, 279, 20298, 825, 1654, 322, 13448, 815, 1496, 842, 16216, 2211, 264, 585, 3693, 538, 1605, 332, 318, 553, 23919, 15947, 825, 1654, 322, 13448, 6910, 263, 272, 3418, 825, 1654, 322, 13448, 815, 11885, 15126, 263, 11355, 13448, 3418, 825, 1654, 322, 13448, 815, 30585, 272, 952, 1535, 2652, 476, 271, 3116, 1535, 585, 1535, 538, 1654, 322, 13448, 15947, 825, 2132, 1654, 322, 13448, 5897, 18257, 1477, 294, 1115, 519, 4358, 2597, 6152, 630, 718, 3283, 256, 3418, 18257, 1477, 3698, 1205, 318, 11034, 532, 318, 7076, 263, 1777, 8029, 825, 2597, 318, 6352, 815, 512, 339, 10947, 5091, 574, 3890, 1341, 476, 272, 1477, 825, 1654, 322, 318, 7076, 815, 1496, 15947, 825, 585, 1775, 538, 2039, 263, 7076, 318, 6352, 8029, 1038, 1654, 322, 318, 7076, 6910, 263, 272, 3418, 825, 1654, 322, 318, 7076, 815, 11885, 15126, 263, 11355, 318, 7076, 3418, 825, 2132, 1654, 322, 318, 7076, 5897, 18257, 1477, 294, 1115, 513, 4358, 2597, 6152, 543, 513, 1985, 1535, 6152, 585, 2016, 1496, 328, 25814, 316, 10974, 23228, 9827, 4991, 519, 1267, 630, 320, 546, 22185, 267, 799, 949, 581, 910, 272, 610, 476, 272, 1040, 1477, 5804, 713, 519, 5690, 21410, 519, 586, 3977, 6152, 630, 5976, 2040, 543, 1129, 4238, 1040, 1477, 9202, 621, 21410, 22185, 552, 543, 2063, 569, 519, 1985, 2597, 6152, 23228, 300, 13579, 3278, 519, 2063, 2597, 6152, 547, 5635, 609, 519, 4195, 2597, 6152, 23228, 2252, 2597, 3788, 24240, 1447, 982, 1535, 2053, 630, 852, 1535, 568, 476, 1015, 1070, 1477, 527, 15565, 519, 12035, 585, 1101, 4494, 11409, 543, 606, 10758, 22813, 23228, 18257, 1477, 3698, 887, 11420, 4565, 3430, 318, 14607, 3596, 332, 263, 1777, 8029, 825, 1654, 322, 318, 7076, 815, 1205, 318, 11034, 532, 318, 7076, 263, 1777, 10142, 825, 24240, 318, 30135, 815, 476, 271, 1477, 825, 585, 737, 538, 2039, 263, 1015, 8029, 1038, 585, 1775, 538, 2039, 263, 1777, 10947, 10983, 3890, 1341, 476, 272, 8029, 2018, 585, 795, 538, 2039, 263, 1777, 10947, 19553, 3890, 1341, 476, 272, 8029, 3546, 2063, 318, 7076, 815, 1654, 322, 318, 7076, 1477, 3546, 1654, 322, 13448, 815, 1985, 318, 11355, 13448, 263, 1777, 267, 1775, 267, 795, 3418, 3546, 1820, 3488, 11355, 13448, 281, 3299, 1654, 322, 13448, 10142, 3546, 22185, 5091, 815, 11885, 15126, 263, 1777, 10947, 318, 637, 16229, 9217, 25814, 17903, 3546, 1654, 322, 14729, 815, 11885, 6230, 738, 17586, 263, 11355, 13448, 267, 1654, 322, 318, 7076, 3418, 3546, 2040, 4364, 815, 11885, 27904, 263, 11355, 14729, 3418, 3546, 521, 3913, 14729, 815, 2979, 6983, 641, 903, 793, 263, 272, 267, 2040, 4364, 3418, 3546, 22185, 21223, 815, 22185, 5091, 910, 521, 3913, 14729, 5897, 3546, 1654, 322, 318, 7076, 815, 1654, 322, 318, 7076, 1341, 11885, 6230, 738, 17586, 263, 2675, 531, 541, 21223, 267, 1654, 322, 13448, 3418, 3546, 1820, 3488, 2908, 318, 7076, 281, 3299, 1654, 322, 318, 7076, 267, 1412, 10559, 333, 20298, 3546, 952, 11885, 15126, 318, 16029, 10857, 770, 318, 7076, 267, 1654, 322, 318, 7076, 8029, 7386, 24240, 318, 30135, 6834, 476, 272, 1477, 3546, 3116, 6769, 7386, 24240, 318, 30135, 815, 476, 271, 5897, 825, 1820, 3488, 346, 271, 348, 24240, 2597, 10321, 538, 476, 1015, 265, 346, 272, 348, 265, 346, 273, 348, 8942, 8339, 1477, 16875, 3898, 263, 4875, 6548, 318, 30135, 267, 512, 339, 10947, 10983, 3890, 1341, 476, 272, 267, 512, 339, 10947, 19553, 3890, 1341, 476, 272, 264, 10142, 825, 952, 24240, 318, 30135, 2999, 476, 1015, 6769, 1038, 1820, 3488, 1607, 1599, 609, 2016, 31016, 965, 270, 13700, 3578, 3349, 568, 711, 1483, 14184, 9538, 3418, 1038, 585, 1775, 538, 2039, 263, 1777, 10947, 10983, 3890, 1341, 476, 272, 8029, 2018, 585, 795, 538, 2039, 263, 1777, 10947, 19553, 3890, 1341, 476, 272, 8029, 3546, 952, 512, 339, 10947, 318, 637, 16229, 9217, 25814, 264, 2652, 476, 272, 6769, 7386, 1820, 3488, 27775, 2105, 1101, 4494, 829, 1061, 1258, 609, 12035, 3299, 1205, 318, 2158, 263, 1777, 267, 1775, 267, 795, 264, 10142, 1038, 610, 318, 7076, 815, 1205, 318, 11034, 532, 318, 7076, 263, 1777, 3418, 1038, 610, 318, 7076, 15631, 272, 316, 815, 910, 272, 1477, 1038, 1820, 3488, 27775, 2105, 2034, 4494, 829, 1061, 1258, 609, 12035, 3299, 610, 318, 7076, 267, 1412, 1341, 513, 910, 272, 536, 27927, 20298, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 9166, 5897, 825, 1247, 6936, 6769, 1038, 3897, 815, 703, 9272, 2891, 1692, 1082, 4632, 1131, 596, 899, 547, 1294, 538, 519, 31016, 965, 3349, 8119, 17903, 1038, 952, 3897, 3436, 476, 272, 6769, 2018, 15254, 24624, 815, 5168, 4671, 762, 14389, 7568, 965, 8368, 5560, 574, 3418, 2018, 15254, 24624, 269, 6358, 318, 14310, 9795, 14052, 2018, 887, 11420, 4565, 3430, 318, 14607, 3596, 332, 263, 12534, 24624, 3418, 2018, 2736, 1477, 1038, 3116, 6769, 2018, 1820, 3488, 2791, 1058, 711, 4283, 1447, 982, 476, 273, 8686, 926, 1963, 269, 2119, 1586, 256, 20298, 24653, 0, 5897, 5897, 258, 12248, 519, 1297, 540, 11353, 630, 272, 781, 264, 538, 513, 5311, 5897, 258, 1280, 1003, 815, 476, 276, 596, 1058, 2132, 1496, 271, 267, 272, 267, 272, 267, 273, 267, 272, 267, 273, 4940, 5897, 258, 1383, 2433, 1496, 271, 267, 476, 272, 267, 476, 1015, 267, 476, 8099, 267, 476, 1911, 267, 476, 6200, 9948, 5897, 3698, 1293, 289, 1080, 16325, 2567, 5897, 825, 1219, 1293, 9217, 8029, 1038, 952, 9217, 10922, 476, 271, 8029, 2018, 2132, 476, 271, 1477, 1038, 3116, 6769, 2018, 1110, 815, 1775, 4939, 476, 273, 1477, 2018, 2132, 1110, 1341, 1293, 9217, 12262, 476, 273, 10142, 1038, 2132, 1496, 12248, 9217, 264, 585, 1775, 538, 2039, 16325, 1341, 476, 272, 13580, 5897, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 23228, 5035, 5903, 11966, 24998, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 8029, 1038, 1582, 22183, 815, 1535, 1477, 1038, 1582, 12785, 815, 7183, 5897, 5035, 8827, 24998, 2567, 1948, 272, 15010, 273, 15010, 274, 476, 273, 1477, 825, 1219, 4894, 301, 628, 5804, 17484, 4311, 267, 2212, 267, 562, 8029, 1038, 5727, 1477, 1038, 2433, 6943, 2212, 281, 5903, 11966, 1477, 1038, 2433, 6943, 562, 281, 703, 1477, 1038, 2433, 337, 6943, 281, 5903, 11966, 1477, 1038, 5727, 1477, 1038, 1477, 1038, 952, 2212, 12785, 2652, 7183, 543, 562, 2652, 476, 272, 6769, 2018, 2132, 7183, 1477, 11434, 1477, 1038, 1219, 4894, 263, 3650, 8029, 17264, 1477, 2018, 952, 2212, 12785, 2652, 7183, 281, 21506, 3546, 952, 562, 2652, 476, 272, 6769, 7386, 2132, 630, 272, 267, 7183, 3418, 3546, 2132, 630, 272, 267, 2212, 264, 21506, 17264, 1477, 2018, 1699, 267, 2766, 815, 4894, 263, 3650, 12785, 264, 21506, 17264, 1477, 2018, 952, 263, 9690, 1341, 476, 272, 2652, 562, 8029, 3546, 2132, 630, 9690, 1341, 476, 272, 267, 2766, 3418, 2018, 3116, 6769, 3546, 2212, 12785, 815, 2766, 1477, 3546, 2132, 630, 9690, 1341, 476, 272, 267, 2212, 3418, 17264, 1477, 17264, 1477, 1038, 9041, 267, 5532, 8266, 815, 4894, 263, 3650, 3418, 1038, 2132, 5532, 8266, 5897, 5897, 333, 3941, 815, 5903, 11966, 263, 272, 3418, 333, 3941, 12785, 815, 5903, 11966, 263, 273, 10142, 28128, 815, 8827, 31476, 1998, 815, 1073, 329, 31927, 301, 628, 5804, 17484, 3799, 3941, 267, 476, 272, 3418, 5897, 0, 5814, 13668, 5897, 12528, 318, 4486, 815, 834, 4817, 272, 4037, 322, 8064, 321, 4281, 278, 322, 278, 9536, 275, 2918, 276, 2767, 273, 322, 277, 2767, 272, 2801, 279, 321, 257, 1948, 3284, 328, 318, 12399, 5897, 2745, 2891, 272, 269, 595, 926, 10163, 528, 534, 8442, 1948, 3403, 2150, 4157, 2367, 322, 926, 1964, 334, 1477, 2745, 2891, 273, 269, 11545, 32386, 8442, 1948, 3403, 2150, 4157, 3232, 10624, 630, 327, 1415, 320, 512, 619, 4215, 1019, 26285, 826, 3418, 335, 8270, 327, 815, 3403, 2891, 300, 553, 4157, 16988, 7796, 328, 7315, 281, 834, 10142, 3650, 14813, 334, 815, 27835, 12528, 268, 4486, 9166, 12528, 318, 4486, 348, 1948, 2212, 16769, 2150, 4157, 568, 328, 2212, 619, 267, 536, 10042, 22619, 752, 740, 320, 538, 328, 544, 10440, 3210, 513, 16988, 5470, 5897, 604, 7796, 8811, 2652, 834, 272, 257, 6769, 825, 2119, 6769, 1038, 3593, 17750, 815, 3403, 2891, 300, 553, 4157, 16988, 562, 4821, 737, 7974, 281, 834, 1040, 12294, 3890, 1948, 562, 4821, 737, 7974, 544, 1263, 30516, 31703, 27608, 1477, 1038, 952, 3593, 17750, 18622, 2897, 2891, 834, 2437, 20257, 529, 10401, 3890, 2652, 6936, 281, 1948, 18438, 30047, 1477, 2018, 3984, 815, 834, 10059, 2517, 16467, 619, 269, 345, 558, 6737, 2593, 270, 777, 328, 23218, 273, 269, 272, 270, 257, 1948, 3984, 546, 926, 3284, 328, 29250, 1477, 2018, 2749, 815, 834, 322, 885, 286, 336, 6889, 1948, 533, 655, 836, 326, 559, 534, 16286, 2150, 4157, 4872, 1477, 2018, 2212, 14813, 334, 815, 27835, 12528, 268, 4486, 9166, 12528, 318, 4486, 348, 1948, 2212, 16769, 2150, 4157, 568, 328, 2212, 619, 267, 536, 10042, 22619, 752, 740, 320, 538, 328, 544, 10440, 3210, 513, 16988, 5470, 1477, 17264, 1477, 2018, 29250, 815, 3984, 1341, 2749, 1341, 3593, 17750, 1948, 29250, 3813, 4673, 561, 1263, 330, 777, 2150, 4157, 4872, 21506, 2018, 1239, 815, 13668, 10947, 263, 14766, 267, 2212, 619, 284, 3650, 14813, 334, 264, 1948, 335, 655, 836, 326, 559, 534, 546, 926, 1990, 558, 6737, 15854, 3897, 553, 4157, 16988, 546, 15401, 1083, 8475, 1239, 1477, 2018, 1239, 815, 1239, 12459, 5459, 3890, 1948, 1239, 1019, 889, 1695, 2367, 329, 14508, 18761, 4157, 795, 5459, 1477, 1363, 1477, 2018, 7329, 6831 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 1448, 1732, 269, 5994, 3843, 547, 1628, 513, 2706, 3579, 5070, 31069, 1282, 4832, 16314, 269, 1325, 821, 267, 6148, 596, 666, 1152, 4020, 1945, 1507, 543, 2241, 269, 1809, 952, 596, 2319, 539, 909, 609, 2828, 267, 1142, 8744, 2189, 2645, 899, 11369, 1115, 267, 28633, 267, 610, 1256, 1216, 15963, 267, 10393, 707, 5137, 3587, 1454, 811, 11141, 256, 634, 1482, 1523, 10039, 547, 2797, 12352, 282, 9316, 5012, 547, 3152, 10781, 982, 2469, 21088, 780, 1103, 3932, 267, 519, 13323, 6259, 2829, 616, 4730, 513, 3395, 1909, 538, 8159, 519, 2619, 4464, 585, 519, 19294, 2793, 3148, 269, 15448, 538, 2518, 6214, 1683, 3255, 585, 5698, 1063, 519, 717, 6717, 543, 3864, 2477, 269, 8625, 267, 789, 666, 7753, 9465, 543, 1711, 5499, 3435, 547, 4324, 3025, 3238, 269, 5457, 267, 1620, 891, 10593, 2337, 721, 5660, 938, 1950, 543, 2479, 19145, 1158, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 29038, 4595, 476, 1001, 272, 267, 2818, 540, 519, 13323, 29046, 7027, 630, 294, 6717, 264, 723, 1831, 5051, 7682, 633, 5716, 2066, 519, 5664, 5101, 543, 5087, 4000, 267, 3226, 2016, 519, 13346, 2475, 1909, 538, 519, 3148, 563, 268, 3864, 2477, 267, 1279, 1031, 547, 2324, 896, 513, 2475, 22597, 538, 519, 13323, 267, 723, 17388, 547, 973, 531, 2320, 622, 741, 3347, 609, 13323, 2829, 543, 723, 1044, 5051, 8589, 2213, 607, 4143, 11051, 563, 268, 17417, 2712, 326, 1836, 991, 547, 7794, 741, 23786, 1909, 538, 519, 13323, 267, 20408, 6735, 1063, 835, 1776, 547, 3337, 513, 811, 14628, 267, 7580, 267, 543, 3196, 995, 1909, 538, 20237, 540, 741, 1883, 4690, 563, 268, 17417, 666, 6521, 519, 3666, 540, 1379, 538, 519, 13323, 538, 741, 12797, 543, 948, 2232, 1883, 16839, 676, 16042, 519, 13323, 998, 8465, 1007, 10850, 1759, 593, 4295, 5755, 1431, 602, 2232, 1808, 2152, 563, 294, 5285, 6259, 2829, 616, 693, 519, 8998, 540, 513, 1007, 3666, 540, 1379, 538, 519, 5664, 5101, 543, 5087, 4000, 630, 10933, 2793, 1040, 2060, 2475, 17282, 540, 519, 3148, 19394, 8015, 519, 14784, 540, 519, 2250, 632, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 5664, 8109, 1299, 6259, 1977, 1315, 3163, 543, 11627, 725, 689, 519, 16323, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 4985, 1384, 14549, 2238, 723, 3648, 12012, 519, 3047, 781, 6915, 613, 12950, 9979, 267, 3056, 547, 519, 11556, 540, 513, 1007, 17027, 22184, 910, 519, 19848, 18152, 269, 901, 2165, 729, 1101, 5189, 676, 17587, 31444, 622, 2520, 32554, 626, 6754, 9197, 583, 7999, 538, 476, 1220, 271, 267, 16287, 513, 6521, 538, 938, 2078, 609, 519, 2067, 1158, 1141, 1480, 3527, 616, 1631, 519, 8789, 3196, 6117, 2518, 2825, 1689, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1585, 6915, 613, 12950, 9979, 4299, 676, 1480, 2534, 543, 2263, 875, 789, 2170, 609, 835, 1776, 269, 1284, 786, 849, 4983, 519, 4539, 540, 891, 2242, 543, 2015, 2009, 3435, 780, 272, 269, 12539, 18888, 1384, 763, 3327, 4783, 568, 519, 1184, 998, 799, 3327, 7575, 1063, 519, 5790, 267, 2244, 267, 5836, 267, 543, 2713, 7103, 269, 5274, 2238, 971, 607, 8781, 8093, 10173, 543, 17717, 723, 3366, 547, 606, 2333, 538, 11626, 2910, 273, 9830, 267, 4929, 2518, 5210, 547, 4473, 543, 7700, 547, 1018, 568, 1634, 607, 27643, 2518, 8337, 269, 4340, 547, 2487, 2090, 267, 2910, 273, 2157, 538, 519, 5790, 616, 4867, 693, 741, 5207, 1377, 538, 476, 8517, 267, 1822, 1296, 267, 5097, 1813, 547, 1480, 2238, 630, 293, 3072, 1782, 7322, 1696, 620, 1421, 476, 1708, 271, 6393, 272, 269, 21193, 4088, 18888, 1384, 301, 527, 4088, 30651, 267, 6491, 30826, 267, 3954, 527, 30826, 267, 543, 21939, 1118, 909, 519, 1950, 9436, 4783, 269, 26187, 559, 4492, 13674, 543, 4853, 3157, 5305, 1804, 5666, 540, 19535, 9436, 7135, 883, 519, 1604, 267, 27200, 2067, 8134, 543, 8764, 908, 1216, 2959, 269, 589, 1353, 3370, 538, 3163, 6059, 602, 5111, 3368, 540, 782, 6378, 9436, 3812, 11451, 2501, 689, 1480, 2238, 630, 294, 9994, 599, 1696, 620, 1421, 476, 1220, 275, 6393, 272, 269, 1912, 6664, 11501, 18888, 1384, 4942, 6664, 11501, 568, 1898, 585, 2030, 2208, 543, 1646, 267, 1818, 621, 513, 2629, 5057, 540, 6694, 1949, 269, 3683, 2224, 540, 16903, 18168, 814, 3366, 547, 2799, 20359, 883, 12748, 5054, 267, 4611, 538, 552, 583, 5268, 1709, 543, 5739, 3473, 531, 18742, 269, 1452, 2621, 666, 2014, 1713, 2800, 547, 2199, 8134, 543, 1764, 1480, 1072, 269, 1280, 1383, 267, 513, 1353, 3370, 538, 7186, 1336, 602, 19826, 14385, 658, 18742, 3361, 676, 4430, 8770, 11378, 8507, 538, 3165, 19754, 543, 8519, 1216, 2298, 538, 8235, 12872, 16852, 267, 3624, 630, 290, 1156, 1696, 620, 1421, 476, 1220, 274, 6393, 272, 269, 4826, 18888, 1384, 20458, 1689, 814, 22314, 519, 3289, 25233, 4783, 267, 3056, 547, 811, 7928, 26221, 267, 17160, 267, 543, 3665, 4365, 2621, 269, 9253, 1154, 22260, 543, 4672, 9212, 3565, 547, 4262, 7400, 4473, 267, 17116, 9381, 2950, 5001, 269, 5015, 267, 15780, 22930, 1813, 547, 5667, 20980, 23028, 2853, 13514, 2591, 585, 1426, 2504, 543, 1279, 3856, 6940, 269, 1280, 3236, 267, 9682, 1239, 2982, 602, 4993, 781, 6239, 9503, 4503, 827, 2185, 18265, 17529, 540, 15780, 1063, 5239, 476, 1001, 272, 543, 4728, 476, 1001, 278, 1813, 547, 7050, 23028, 630, 306, 4754, 23127, 1696, 620, 1421, 476, 1001, 279, 6393, 6962, 1384, 8139, 519, 1909, 540, 1480, 2238, 538, 19249, 6915, 613, 12950, 9979, 568, 2565, 585, 3384, 2994, 547, 11574, 519, 5222, 540, 519, 19848, 18152, 269, 1635, 4227, 8511, 3154, 5434, 267, 10893, 8770, 5533, 267, 5009, 4264, 6683, 267, 543, 25137, 1216, 2200, 267, 649, 666, 960, 2509, 19620, 3666, 1369, 891, 4105, 1949, 269, 1306, 2104, 3744, 267, 8030, 267, 14519, 267, 543, 4961, 267, 621, 568, 16122, 602, 649, 1491, 2962, 547, 2232, 891, 10296, 2152, 543, 2327, 513, 561, 22133, 4541, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5804, 519, 5133, 540, 519, 1686, 540, 2257, 267, 519, 5169, 540, 519, 19848, 18152, 5526, 547, 581, 3964, 609, 8966, 8856, 269, 769, 476, 1220, 271, 267, 17587, 31444, 622, 2520, 32554, 626, 6754, 9197, 583, 7999, 6069, 602, 519, 4541, 1185, 9411, 519, 19848, 18152, 267, 513, 1007, 27230, 22184, 538, 799, 3425, 1185, 1831, 519, 3119, 9920, 540, 2518, 2825, 1689, 269, 901, 4214, 1058, 581, 2653, 547, 9787, 585, 513, 5108, 602, 3357, 540, 2085, 1282, 513, 1974, 950, 27643, 2518, 8337, 13856, 2825, 6214, 269, 634, 19848, 18152, 11498, 519, 2215, 2329, 540, 27643, 1689, 689, 519, 2916, 1062, 547, 5176, 1169, 824, 19236, 1184, 281, 519, 15203, 540, 1272, 1606, 7739, 532, 5567, 282, 519, 9542, 267, 3892, 267, 543, 14486, 540, 2249, 282, 519, 7998, 540, 519, 12084, 282, 519, 11761, 540, 10239, 282, 519, 2095, 540, 15195, 282, 543, 865, 593, 269, 634, 1480, 11640, 6227, 519, 2898, 3047, 269, 6145, 513, 9649, 13326, 593, 519, 8608, 267, 1142, 1900, 5787, 919, 519, 2557, 540, 1689, 267, 11319, 519, 4541, 856, 540, 519, 7123, 2175, 540, 519, 4591, 18152, 9210, 5255, 555, 320, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 11061, 1315, 7025, 1315, 12713, 613, 12950, 7261, 3380, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 6178, 5678, 667, 17152, 692, 8702, 547, 519, 4241, 1158, 540, 1129, 1893, 21594, 256, 1411, 1522, 581, 11842, 1018, 602, 1256, 1797, 269, 4270, 267, 1175, 899, 875, 649, 946, 2834, 21594, 547, 1413, 909, 519, 10096, 540, 1913, 267, 1129, 1893, 21594, 948, 721, 1174, 4191, 1031, 538, 4654, 971, 607, 1977, 6178, 5678, 630, 3008, 299, 1040, 1452, 21594, 616, 2523, 3730, 585, 1004, 945, 5968, 1210, 1129, 1893, 1317, 789, 666, 1451, 1007, 1913, 543, 2453, 267, 543, 1256, 2087, 741, 19142, 1983, 269, 2913, 781, 4685, 883, 713, 5863, 1158, 1927, 2439, 5331, 596, 723, 513, 3659, 3957, 5981, 945, 3096, 6789, 299, 547, 5968, 269, 2290, 1554, 267, 1247, 16304, 856, 609, 5981, 267, 596, 2097, 2066, 513, 2165, 596, 1810, 1405, 1174, 910, 1412, 320, 2508, 540, 2724, 2322, 676, 607, 513, 15395, 9538, 1215, 1131, 596, 1265, 856, 1018, 621, 1797, 538, 6789, 299, 286, 2334, 781, 1141, 513, 1129, 1893, 8675, 2501, 538, 13561, 256, 1635, 10478, 585, 713, 8360, 538, 606, 6789, 299, 8675, 267, 596, 786, 1265, 519, 7222, 1129, 267, 799, 4523, 547, 581, 1412, 338, 822, 902, 9538, 15346, 267, 3884, 1405, 621, 2496, 3086, 267, 1577, 781, 2263, 930, 1883, 3344, 540, 1129, 1893, 21594, 865, 602, 596, 1932, 666, 1831, 606, 4274, 693, 10188, 873, 1384, 272, 269, 2878, 1432, 568, 513, 1129, 1893, 8675, 286, 12533, 288, 1129, 1893, 8675, 568, 606, 6896, 4015, 540, 4191, 543, 6698, 1031, 538, 1585, 1129, 4654, 269, 898, 2337, 3755, 1451, 267, 14377, 267, 543, 2259, 7215, 538, 1129, 1893, 269, 2368, 2442, 1129, 4654, 1331, 6789, 299, 267, 3703, 6178, 5678, 630, 7034, 299, 1070, 543, 589, 639, 17427, 630, 288, 26894, 6178, 5678, 1916, 273, 269, 2878, 3963, 616, 1129, 1893, 21594, 1271, 286, 12533, 4322, 2200, 2736, 1524, 7496, 1063, 6217, 543, 1875, 13463, 2130, 2950, 267, 5807, 1732, 2792, 543, 1620, 269, 1358, 849, 4196, 607, 3407, 1565, 2645, 585, 1346, 16462, 547, 4584, 909, 1129, 1893, 267, 2436, 585, 2123, 2208, 267, 8220, 609, 2828, 267, 610, 4876, 13120, 563, 274, 269, 2878, 1692, 798, 594, 946, 513, 1129, 1893, 8675, 286, 12533, 8794, 513, 1129, 1893, 8675, 568, 2147, 547, 1210, 513, 2834, 835, 269, 15439, 3406, 585, 513, 2262, 610, 8360, 267, 543, 519, 8675, 786, 4159, 922, 6697, 1129, 4433, 264, 2059, 609, 5528, 593, 875, 547, 1685, 873, 7157, 269, 3509, 2228, 21594, 2709, 3381, 23405, 267, 1818, 621, 4443, 547, 1246, 543, 2259, 563, 275, 269, 2878, 4692, 594, 3565, 1250, 1378, 4191, 547, 513, 1129, 1893, 8675, 286, 12533, 8133, 267, 1082, 2228, 5867, 1450, 3755, 547, 10505, 741, 1378, 4191, 269, 901, 4183, 7512, 2146, 9525, 543, 5849, 602, 891, 21594, 2611, 6422, 543, 3102, 269, 1403, 596, 917, 513, 1129, 602, 3884, 1405, 3769, 538, 513, 8675, 267, 2671, 707, 1702, 543, 10802, 519, 4199, 585, 1866, 2336, 276, 269, 2878, 6701, 972, 1022, 2591, 950, 2870, 513, 1129, 1893, 8675, 286, 12533, 17730, 513, 1129, 1893, 8675, 814, 2189, 9465, 3379, 547, 2757, 21594, 269, 1280, 1383, 267, 13830, 5322, 8308, 998, 7044, 610, 2592, 666, 581, 4101, 269, 3958, 267, 2094, 1129, 4654, 616, 3308, 543, 1614, 8820, 267, 23187, 16082, 899, 11132, 7215, 543, 1560, 14302, 568, 2629, 855, 2352, 538, 2854, 1106, 269, 6736, 891, 23665, 267, 3048, 2209, 3136, 4466, 3860, 2081, 547, 2099, 1129, 4654, 3927, 563, 277, 269, 2878, 29222, 1249, 5093, 9894, 596, 917, 602, 1129, 4654, 5749, 1405, 8471, 286, 3807, 899, 9275, 4654, 267, 1142, 2197, 3335, 814, 922, 1378, 3982, 1129, 1893, 256, 1924, 267, 952, 596, 941, 10707, 13383, 543, 1558, 2576, 945, 3096, 1129, 1893, 267, 596, 7948, 1405, 8209, 7048, 593, 707, 4540, 1129, 1893, 1983, 8259, 596, 1185, 4481, 4121, 519, 2199, 1129, 1893, 780, 1103, 3932 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 278, 454, 825, 585, 586, 267, 804, 338, 538, 26246, 263, 5035, 525, 2187, 1038, 7329, 343, 338, 815, 5286, 269, 29788, 12061, 14706, 12169, 17601, 2652, 586, 994, 1038, 7329, 343, 338, 815, 5286, 20179, 26716, 4069, 263, 30915, 338, 267, 5439, 30648, 318, 5035, 267, 5372, 25716, 994, 1038, 585, 1775, 267, 7329, 343, 538, 26246, 263, 30915, 338, 2187, 2018, 12301, 16182, 343, 815, 1775, 2608, 1003, 318, 5035, 525, 1341, 586, 1341, 476, 272, 454, 2018, 12301, 16553, 7120, 4433, 3263, 30648, 318, 5035, 267, 1003, 318, 5035, 525, 267, 12301, 16182, 343, 994, 2018, 12301, 269, 574, 19651, 11583, 17601, 314, 30915, 4940, 770, 4286, 3488, 340, 842, 279, 29125, 2018, 12301, 269, 9471, 3488, 4752, 5073, 2018, 952, 1775, 2652, 476, 271, 912, 3546, 12301, 26644, 263, 743, 338, 994, 825, 1948, 12301, 20481, 30800, 825, 1948, 4427, 338, 2217, 519, 1239, 585, 811, 3608, 3009, 11056, 538, 713, 3635, 454, 825, 1948, 8307, 3442, 1283, 476, 4335, 271, 538, 2866, 1239, 454, 825, 1948, 8307, 3442, 1283, 476, 4335, 538, 1449, 1239, 692, 825, 9633, 815, 1592, 263, 9792, 16325, 4671, 20995, 4917, 825, 2473, 17601, 815, 2473, 17601, 314, 332, 2532, 2639, 825, 586, 17601, 815, 586, 17601, 314, 332, 2532, 6540, 454, 825, 9633, 815, 1592, 263, 9792, 16325, 15305, 4917, 825, 2473, 15305, 815, 2473, 15305, 314, 332, 2532, 2639, 825, 586, 15305, 815, 586, 15305, 314, 332, 2532, 6540, 825, 1948, 1763, 327, 1901, 519, 3239, 1239, 883, 9343, 454, 825, 2473, 17601, 815, 5286, 269, 31412, 11583, 17601, 267, 630, 311, 17601, 17482, 314, 271, 3910, 910, 272, 4917, 825, 2473, 15305, 815, 5286, 269, 31412, 11583, 15305, 267, 630, 311, 15305, 17482, 314, 271, 3910, 910, 272, 11723, 825, 2132, 2473, 17601, 267, 586, 17601, 267, 2473, 15305, 267, 586, 15305, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30777, 267, 12624, 634, 25564, 267, 29315, 540, 20211, 267, 27869, 267, 5213, 2372, 747, 1774, 267, 6307, 7395, 30445, 2940, 563, 1432, 568, 741, 6612, 286, 3657, 789, 7567, 538, 519, 1259, 789, 1246, 741, 6612, 286, 1684, 789, 782, 917, 519, 5595, 2495, 540, 519, 5259, 2262, 834, 335, 6842, 9899, 6612, 543, 7092, 888, 4002, 713, 2985, 649, 1118, 513, 4276, 1063, 6612, 543, 7555, 909, 585, 2831, 563, 12812, 519, 6402, 538, 519, 4408, 540, 519, 476, 278, 5515, 630, 324, 3052, 269, 834, 302, 20213, 8442, 585, 9587, 676, 519, 5171, 269, 769, 891, 476, 278, 7418, 602, 616, 476, 272, 610, 476, 273, 3817, 1279, 267, 596, 786, 1265, 811, 6402, 547, 4143, 5396, 593, 10960, 15213, 563, 15008, 267, 24909, 543, 4589, 302, 20213, 454, 763, 18703, 2489, 689, 519, 9956, 1404, 676, 519, 454, 338, 877, 2012, 269, 1261, 8593, 538, 2648, 609, 2677, 12047, 7431, 267, 855, 2968, 454, 331, 739, 538, 519, 2121, 540, 30983, 1010, 7755, 583, 656, 808, 6210, 5402, 454, 331, 4660, 856, 585, 1864, 563, 6944, 9084, 676, 570, 7978, 681, 643, 553, 281, 257, 291, 340, 29868, 267, 1166, 29546, 1723, 543, 13032, 325, 2074, 4840, 3674, 333, 1405, 8050, 1256, 811, 982, 7977, 267, 1141, 9956, 454, 338, 15856, 730, 1010, 1404, 267, 519, 840, 15041, 5799, 2197, 602, 24151, 454, 1492, 6891, 540, 6612, 543, 13357, 286, 6056, 540, 922, 1166, 29546, 1723, 454, 663, 13032, 325, 2074, 269, 1548, 568, 713, 6667, 1572, 834, 706, 29868, 257, 888, 347, 13825, 534, 540, 20211, 454, 15161, 883, 11802, 269, 4208, 1287, 729, 1352, 5555, 2016, 454, 1492, 6003, 1412, 323, 836, 2730, 561, 684, 1738, 262, 888, 6944, 9084, 676, 570, 7978, 681, 643, 553, 912, 763, 2021, 945, 25058, 2933, 547, 2831, 798, 865, 609, 741, 12271, 543, 20339, 543, 2709, 782, 741, 942, 543, 2230, 585, 2831, 269, 631, 625, 8709, 744, 739, 523, 630, 1372, 576, 1078, 476, 1220, 271, 2567, 834, 2006, 786, 723, 547, 3717, 856, 585, 2831, 8487, 342, 5896, 519, 1655, 454, 1721, 1004, 269, 589, 2486, 538, 799, 2696, 781, 2262, 3652, 269, 27869, 454, 817, 25390, 2392, 652, 1588, 282, 616, 2831, 30758, 547, 581, 13881, 888, 1432, 568, 2696, 781, 786, 286, 27869, 1577, 519, 6426, 798, 519, 6158, 563, 6944, 9084, 676, 23718, 570, 2884, 329, 839, 912, 299, 19313, 2322, 519, 2243, 547, 2696, 281, 1946, 4465, 1405, 594, 3548, 2831, 888, 9515, 1185, 606, 6418, 5639, 3717, 585, 2696, 563, 331, 1882, 585, 519, 8003, 454, 1993, 2696, 269, 1809, 7012, 1405, 646, 24949, 286, 16393, 646, 1118, 1866, 4235, 454, 5228, 519, 1134, 602, 844, 523, 3481, 1010, 1378, 19818, 286, 9894, 602, 610, 454, 323, 573, 602, 711, 1831, 606, 989, 3415, 286, 2986, 729, 713, 4155, 513, 1259, 540, 454, 3333, 12976, 1866, 519, 13675, 547, 519, 18163, 2707, 540, 1272, 888, 6944, 9084, 676, 11835, 14732, 17286, 6577, 337, 987, 912, 4692, 1004, 538, 891, 2053, 267, 609, 865, 1454, 5191, 543, 865, 1082, 3255, 267, 711, 2661, 1510, 28877, 547, 2831, 286, 1684, 1004, 991, 621, 585, 741, 17612, 547, 17760, 1511, 1762, 2831, 585, 741, 2531, 514, 542, 888, 663, 519, 2842, 332, 1571, 563, 1692, 568, 621, 2009, 602, 646, 568, 2141, 811, 982, 513, 561, 684, 1738, 454, 15367, 13290, 547, 14892, 513, 28457, 748, 1544, 607, 513, 3483, 547, 454, 6944, 9084, 676, 570, 7978, 681, 643, 553, 912, 293, 18017, 547, 7333, 12051, 8105, 267, 568, 602, 8165, 1996, 454, 320, 5075, 538, 31735, 807, 543, 13604, 13991, 1200, 3003, 454, 5158, 547, 519, 1612, 11672, 338, 538, 3127, 269, 12984, 1352, 2111, 547, 2671, 930, 454, 1993, 1200, 3312, 6667, 609, 1866, 267, 610, 1705, 1352, 1831, 454, 534, 11389, 778, 762, 12835, 540, 8103, 888, 6944, 9084, 676, 717, 710, 651, 654, 9707, 912, 2171, 1223, 10416, 782, 798, 1018, 3993, 634, 25564, 1705, 585, 454, 30513, 945, 568, 2141, 4448, 609, 4906, 269, 4208, 568, 972, 454, 531, 1811, 1945, 2144, 5328, 610, 5609, 995, 827, 1200, 286, 3245, 950, 576, 454, 3699, 713, 991, 547, 1921, 1256, 4906, 547, 2144, 5328, 1143, 998, 454, 6944, 9084, 676, 570, 7978, 681, 643, 553, 543, 26450, 853, 17274, 912, 1103, 2249, 1143, 267, 7130, 1759, 593, 3662, 2249, 2676, 534, 7769, 910, 899, 2021, 538, 3023, 1143, 910, 616, 2938, 607, 18374, 454, 1211, 673, 2818, 540, 741, 2249, 267, 3079, 540, 607, 2189, 0, 14722, 693, 519, 4659, 540, 12713, 30261, 540, 18280, 8205, 723, 2919, 27500, 18032, 602, 948, 519, 2634, 10826, 3294, 1310, 606, 8009, 269, 1452, 6289, 1993, 756, 637, 1223, 948, 3895, 1007, 8441, 585, 519, 5916, 3646, 538, 519, 4610, 540, 4915, 543, 2029, 563, 2690, 3833, 930, 942, 267, 29113, 543, 4915, 723, 1044, 14027, 1688, 538, 1688, 2509, 519, 3804, 540, 2921, 1732, 1416, 540, 938, 1072, 269, 645, 3930, 839, 832, 547, 2087, 519, 5868, 540, 1978, 3676, 610, 2027, 2213, 24519, 1673, 2607, 338, 616, 1175, 513, 1906, 540, 519, 3156, 602, 649, 666, 1265, 538, 519, 2361, 540, 6289, 558, 14037, 710, 269, 10765, 1382, 2944, 676, 519, 4659, 585, 12713, 30261, 540, 18280, 8205, 814, 8507, 538, 519, 5137, 540, 27500, 18032, 602, 948, 519, 2634, 10826, 3294, 563, 1103, 329, 3753, 3361, 1282, 519, 27514, 543, 2022, 23196, 11775, 666, 12517, 1860, 1646, 543, 4749, 2014, 3978, 9124, 269, 1717, 267, 519, 27500, 18032, 2966, 676, 519, 2319, 540, 2098, 4660, 320, 3331, 479, 331, 29166, 345, 1223, 30712, 519, 2890, 10276, 1444, 538, 799, 519, 2634, 2729, 1282, 25782, 1646, 563, 4322, 24519, 1922, 756, 637, 5305, 700, 2000, 716, 622, 267, 513, 3114, 7623, 602, 8992, 2587, 328, 14003, 267, 799, 568, 2838, 585, 519, 2634, 547, 1376, 519, 1184, 540, 27955, 3294, 269, 634, 27500, 18032, 616, 849, 2111, 547, 16578, 519, 5108, 540, 1007, 8229, 2281, 267, 799, 1797, 602, 891, 3889, 12954, 27532, 4915, 563, 763, 4681, 941, 3370, 538, 29119, 17467, 267, 543, 2099, 513, 1360, 1271, 1193, 728, 4464, 538, 519, 3498, 540, 8790, 574, 545, 787, 538, 4915, 269, 1635, 968, 574, 23550, 892, 519, 1604, 538, 799, 519, 2634, 2729, 1282, 25782, 1646, 267, 891, 18280, 20897, 3173, 723, 6707, 25623, 519, 2634, 547, 10826, 3294, 267, 693, 2547, 538, 519, 4255, 5645, 856, 593, 3662, 3631, 563, 4517, 519, 3364, 568, 602, 621, 779, 1100, 2653, 4305, 585, 3173, 547, 1265, 2994, 547, 16956, 4733, 519, 2634, 269, 634, 1614, 1292, 9465, 630, 335, 3233, 5610, 540, 519, 18032, 2139, 909, 547, 713, 1448, 267, 1970, 15466, 5314, 543, 23696, 1591, 6668, 264, 5921, 602, 519, 2634, 729, 8572, 547, 10826, 3294, 1310, 7092, 1114, 2010, 540, 8194, 269, 634, 946, 540, 27500, 18032, 267, 2705, 267, 568, 513, 1434, 1383, 540, 875, 8790, 574, 545, 787, 666, 849, 948, 547, 1491, 1416, 540, 938, 1072, 563, 1103, 519, 1913, 540, 2098, 4660, 320, 3331, 479, 331, 29166, 345, 267, 968, 28205, 27500, 18032, 1118, 621, 2009, 547, 10038, 519, 1979, 26491, 543, 10894, 6724, 602, 7520, 519, 20344, 540, 519, 2634, 6100, 901, 9740, 267, 1498, 1152, 7152, 538, 23224, 267, 568, 606, 1271, 24182, 538, 4915, 4294, 547, 519, 2634, 267, 543, 1223, 581, 1031, 547, 10826, 713, 4105, 1418, 1310, 606, 8009, 610, 8194, 269, 1717, 267, 5103, 519, 1434, 3377, 267, 3744, 2611, 18762, 267, 1317, 811, 1296, 540, 1382, 543, 4791, 4152, 786, 581, 2838, 1354, 891, 18032, 666, 14693, 581, 1031, 538, 1480, 7919, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 12726, 2055, 910, 2296, 269, 11473, 31286, 269, 18520, 282, 5395, 10118, 282, 7734, 282, 10439, 543, 23866, 10049, 282, 5246, 2526, 7698, 282, 6554, 26671, 282, 570, 21033, 17796, 282, 6201, 282, 11473, 282, 1879, 538, 8935, 23336, 269, 11289, 596, 865, 1454, 2336, 2690, 1383, 267, 3079, 540, 269, 17402, 24665, 566, 543, 519, 6206, 8609, 274, 2296, 15613, 269, 16504, 270, 29329, 18873, 281, 744, 6347, 281, 623, 268, 476, 1321, 281, 12924, 306, 3633, 910, 533, 1321, 563, 5472, 523, 630, 3738, 13986, 547, 2697, 519, 20700, 307, 2042, 693, 3119, 3506, 538, 25157, 676, 30228, 519, 9465, 538, 519, 1259, 540, 2500, 20194, 268, 1298, 1042, 3450, 543, 1565, 540, 269, 6355, 30513, 27211, 654, 784, 945, 814, 513, 5067, 538, 12729, 476, 274, 1767, 646, 786, 1631, 991, 547, 723, 811, 2489, 1702, 269, 17628, 299, 23360, 6789, 589, 22444, 31631, 700, 20315, 308, 17803, 563, 306, 532, 12940, 268, 11929, 268, 14430, 269, 2296, 2472, 585, 3119, 7924, 13002, 607, 1134, 607, 6281, 7005, 3332, 7005, 1893, 676, 11062, 2160, 4964, 269, 1717, 267, 519, 2229, 3609, 799, 1500, 1565, 513, 4914, 1893, 25471, 538, 2296, 3119, 3506, 689, 6206, 8609, 476, 273, 729, 3592, 269, 16592, 6281, 2069, 269, 12729, 10403, 4530, 14430, 269, 7605, 1824, 616, 2921, 936, 811, 811, 3344, 540, 938, 2729, 1547, 634, 1957, 3568, 1614, 5931, 269, 2311, 519, 1439, 540, 519, 1449, 1688, 538, 1312, 713, 2243, 1957, 707, 2626, 9212, 269, 667, 8379, 2894, 31064, 306, 11123, 667, 25353, 269, 769, 713, 2296, 5678, 6514, 267, 10457, 786, 581, 12290, 593, 741, 2702, 547, 281, 769, 7433, 476, 272, 630, 5675, 1040, 12729, 1072, 1416, 1107, 3466, 563, 281, 12729, 1299, 18520, 630, 18124, 1315, 16453, 1496, 14288, 316, 15426, 4530, 268, 1957, 268, 9623, 3893, 513, 1007, 1413, 256, 5381, 8847, 666, 581, 1031, 538, 5399, 2257, 269, 476, 274, 2689, 12191, 269, 12020, 1519, 1412, 9752, 268, 4804, 540, 12601, 306, 262, 607, 513, 25471, 1957, 538, 10026, 4116, 2069, 547, 581, 6594, 676, 782, 519, 2875, 269, 634, 1808, 11248, 602, 729, 6594, 630, 519, 24059, 267, 18521, 615, 747, 807, 19546, 1916, 763, 661, 1372, 343, 4897, 4139, 12729, 15099, 568, 2966, 585, 3486, 3506, 3032, 619, 585, 10453, 538, 13012, 476, 274, 547, 476, 277, 630, 6502, 476, 279, 268, 476, 1556, 264, 585, 2296, 267, 13004, 2257, 269, 901, 1957, 5359, 593, 519, 4093, 540, 513, 6404, 2409, 1353, 267, 5473, 476, 6344, 269, 3776, 3135, 849, 2488, 2228, 7317, 4255, 563, 8368, 540, 12937, 269, 476, 274, 824, 1713, 2959, 269, 12729, 476, 274, 7005, 1957, 563, 20062, 2969, 4959, 589, 667, 25353, 19532, 3201, 14510, 667, 8379, 2894, 31064, 286, 476, 274, 18329, 4530, 7433, 2443, 31253, 14160, 19798, 4629, 6865, 18329, 4530, 7433, 563, 22826, 18049, 543, 13281, 18049, 538, 519, 2296, 12729, 269, 8791, 589, 281, 18049, 269, 12333, 4886, 19510, 593, 834, 4635, 6176, 31157, 538, 519, 12729, 2296, 15858, 281, 15043, 23794, 273, 4841, 262, 7335, 543, 5675, 10341, 257, 630, 22544, 10049, 264, 7300, 11711, 563, 12626, 4843, 930, 7840, 269, 23075, 540, 519, 13600, 281, 3733, 2370, 1453, 855, 538, 632, 539, 267, 1577, 721, 711, 2648, 538, 2262, 267, 6862, 538, 11469, 538, 5168, 269, 12729, 19648, 476, 272, 267, 476, 273, 1299, 476, 274, 269, 570, 868, 264, 610, 1224, 2228, 563, 299, 1077, 6281, 2069, 269, 898, 5713, 607, 606, 3312, 2707, 540, 1344, 827, 519, 1888, 269, 15096, 3008, 6657, 5999, 910, 12409, 10495, 5245, 630, 661, 8150, 1040, 7216, 6689, 2069, 269, 19077, 1756, 9075, 616, 3119, 9075, 602, 723, 16864, 607, 606, 606, 1712, 269, 13518, 811, 982, 513, 2835, 7749, 269, 5269, 513, 1957, 6564, 5832, 676, 24208, 513, 4062, 540, 1957, 11063, 542, 268, 2511, 630, 1294, 14745, 2630, 1040, 1290, 281, 5131, 12729, 3427, 11929, 14430, 476, 1240, 2843, 494, 398, 505, 10528, 9261, 4138, 4709, 1607, 3381, 568, 827, 12861, 513, 5240, 7797, 269, 7433, 476, 274, 23016, 269, 3738, 2296, 7335, 13722, 269, 910, 667, 303, 6349, 281, 4427, 7615, 32017, 538, 12197, 476, 271, 6078, 585, 269, 10021, 288, 787, 840, 309, 1549, 269, 476, 274, 901, 1942, 16369, 9356, 519, 1249, 602, 1072, 4346, 3403, 5777, 4268, 14320, 2066, 519, 2197, 543, 616, 909, 547, 269, 12729, 476, 274, 14451, 4457, 26480, 324, 328, 932, 684, 594, 993, 513, 2407, 268, 942, 20131, 585, 4457, 543, 14451, 4457, 269, 4804, 4914, 4654, 538, 3119, 3506, 281, 568, 7820, 1732, 563, 27650, 476, 275, 2296, 1283, 1153, 1957, 262, 521, 20308, 4530, 269, 12729, 12749, 3427, 11929, 14430, 13662, 4041, 2776, 3916, 269, 28742, 538, 2296, 5678, 1299, 9085, 630, 744, 299, 264, 7433, 476, 272, 1299, 476, 273, 30285, 12989, 267, 594, 723, 7396, 476, 276, 1919, 596, 666, 798, 547, 5965, 585, 606, 2296, 1957, 15545, 476, 274, 9978, 4388, 593, 1603, 513, 1434, 1382, 1957, 2140, 1923, 3798, 5146, 29362, 2422, 995, 9828, 602, 707, 1126, 786, 581, 1565, 538, 938, 5049, 281, 623, 6020, 300, 14473, 700, 14110, 5085, 7433, 476, 273, 281, 24366, 31643, 543, 17003, 1759, 5775, 342, 1359, 9828, 269, 589, 6651, 547, 5675, 543, 4676, 17182, 585, 9085, 538, 2296, 7433, 476, 274, 5800, 12859, 270, 3427, 268, 1759, 10495, 23489, 269, 1703, 616, 513, 2698, 540, 476, 1015, 16887, 18705, 6514, 2511, 4574, 563, 20288, 793, 1893, 267, 1034, 4122, 538, 2296, 269, 1323, 9868, 1131, 581, 519, 946, 540, 2296, 4559, 607, 1541, 13294, 538, 4123, 267, 971, 607, 968, 476, 274, 269, 1284, 4363, 547, 2638, 1394, 5781, 547, 2327, 596, 786, 2141, 723, 519, 1034, 909, 547, 4266, 6054, 693, 707, 12871, 563, 8867, 3058, 25890, 910, 27076, 26790, 19541, 476, 274, 17796, 2659, 1957, 1058, 1865, 930, 3119, 1570, 543, 1058, 711, 1175, 581, 513, 2689, 1759, 593, 6281, 2959, 269, 24822, 540, 1072, 1416, 269, 1234, 8698, 532, 519, 552, 309, 16582, 23895, 269, 12729, 476, 274, 623, 274, 2296, 981, 1957, 11404, 272, 14408, 272, 11404, 273, 14408, 273, 5131, 563, 1607, 1957, 814, 1044, 3812, 269, 10228, 4139, 12729, 2296, 910, 10228, 2160, 4964, 5999, 14430, 543, 12815, 1401, 3133, 725, 585, 12729, 4139, 12140, 23794, 273, 30312, 17698, 11062, 20389, 306, 1957, 563, 19733, 8750, 532, 281, 14502, 7433, 267, 12080, 540, 4065, 6239, 6054, 269, 15681, 721, 875, 596, 899, 938, 1007, 1413, 269, 589, 302, 272, 2328, 547, 9290, 3483, 267, 5304, 269, 3367, 1018, 930, 938, 3237, 543, 21493, 723, 547, 2161, 827, 519, 981, 4574, 602, 789, 22434, 563, 308, 326, 7701, 281, 24770, 22159, 15613, 7433, 910, 5616, 7734, 28088, 634, 13017, 9737, 2657, 5516, 1975, 2056, 543, 2657, 27159, 585, 519, 1715, 2296, 269, 1215, 547, 25737, 17796, 2433, 2433, 2296, 9085, 2433, 2433, 4210, 14390, 3467, 5441, 2037, 2651, 906, 476, 278, 1691, 31696, 1053, 269, 9861, 835, 540, 519, 3334, 540, 9978, 269, 5441, 2296, 11730, 476, 3199, 267, 7089, 476, 275, 4728, 269, 2701, 26770, 547, 16616, 1864, 269, 634, 12191, 3238, 10855, 5619, 1374, 269, 1280, 1383, 267, 5310, 835, 568, 5461, 538, 519, 6196, 2296, 6648, 29028, 269, 18049, 5751, 281, 570, 5151, 282, 21291, 282, 824, 8239, 2798, 269, 5131, 2296, 2259, 4255, 2228, 269, 9752, 2296, 18049, 538, 12140, 910, 772, 12710, 7689, 476, 274, 281, 594, 2549, 513, 4132, 540, 2696, 268, 12729, 476, 273, 281, 7994, 519, 9406, 589, 269, 589, 4578, 10866, 630, 667, 304, 264, 17435, 3290, 568, 513, 18931, 2165, 1031, 676, 1239, 2359, 4648, 547, 4766, 513, 269, 589, 1434, 1382, 1957, 2140, 281, 9473, 5151, 519, 1957, 262, 521, 1543, 538, 513, 1906, 1913, 282, 12650, 999, 519, 3988, 262, 3007, 282, 7756, 28179, 519, 1957, 689, 824, 4574, 540, 519, 1482, 1641, 1858, 269, 4273, 1833, 4530, 14430, 269, 10866, 2069, 2882, 281, 22996, 945, 616, 2635, 1134, 268, 16138, 1639, 4712, 547, 7119, 269, 2622, 1072, 1107, 3466, 269, 595, 4047, 3194, 7433, 476, 5655, 563, 1015, 3860, 2081, 547, 4001, 2296, 602, 5838, 14222, 2164, 269, 2296, 4530, 7433, 1280, 12729, 476, 272, 267, 910, 4828, 593, 513, 530, 30689, 1747, 568, 693, 1753, 563, 303, 4206, 910, 8281, 607, 7300, 11711, 30285, 476, 273, 568, 1027, 268, 8760, 269, 4460, 532, 30868, 585, 14451, 543, 18103, 2435, 5426, 269, 12729, 476, 274, 7005, 1957, 269, 15858, 10312, 281, 3127, 269, 18049, 18685, 10259, 910, 20710, 548, 6229, 12729, 3427, 634, 1158, 1072, 1867, 2433, 3119, 1072, 1416, 1631, 811, 982, 2479, 269, 4107, 540, 519, 5751, 616, 7317, 563, 25456, 4530, 5999, 1923, 4139, 5484, 577, 5658, 18873, 1923, 594, 6630, 1923, 8028, 2207, 269, 623, 24359, 8379, 2562, 14473, 17628, 299, 23360, 570, 12239, 7335, 543, 5675, 590, 21283, 4041, 570, 12239, 269, 9122, 593, 476, 4343, 276, 275, 16863, 563, 21801, 1640, 12726, 11536, 269, 898, 6212, 593, 782, 519, 1614, 11890, 540, 1565, 1107, 5042, 28146, 4586, 300, 312, 14160, 19798, 4629, 6865, 18329, 4530, 7433, 476, 414, 495, 510, 12729, 476, 274, 2296, 8745, 269, 634, 2165, 1981, 3815, 568, 3006, 1031, 30430, 609, 713, 269, 594, 5206, 1250, 12031, 827, 8144, 538, 5053, 18280, 534, 267, 4436, 3943, 1040, 12729, 476, 274, 7005, 1957, 563, 18118, 476, 275, 268, 552, 268, 13875, 2232, 952, 5551, 269, 1403, 707, 6138, 7548, 4769, 262, 512, 899, 621, 602, 596, 1031, 513, 5619, 540, 1857, 6644, 607, 707, 3119, 2963, 538, 707, 7881, 1957, 267, 585, 1383, 596, 991, 547, 1265, 856, 269, 12729, 476, 272, 5788, 12729, 476, 273, 5788, 12729, 476, 274, 5788, 12729, 476, 275, 5788, 12729, 476, 276, 5788, 12729, 476, 277, 269, 3371, 1352, 8843, 1200, 563, 26222, 8128, 616, 849, 2838, 547, 1418, 1047, 2069, 538, 519, 6341, 328, 269, 594, 4956, 844, 7627, 538, 519, 3312, 1893, 543, 4946, 519, 8144, 538, 513, 3723, 16694, 269, 2622, 2657, 9257, 563, 274, 9165, 281, 589, 2689, 540, 8039, 269, 12729, 3427, 1923, 7956, 7734, 1923, 7956, 3883, 10418, 476, 274, 269, 5753, 723, 513, 1318, 547, 606, 2069, 267, 513, 2298, 2069, 563, 20082, 1765, 901, 5907, 3561, 568, 513, 968, 2661, 892, 10959, 1257, 267, 2907, 11225, 519, 3334, 540, 707, 1957, 1496, 2140, 267, 9843, 1547, 12726, 10426, 1137, 540, 12729, 476, 274, 2296, 14430, 630, 3738, 18049, 1849, 334, 2763, 476, 272, 1215, 547, 1118, 513, 2048, 14799, 17079, 685, 3689, 5862, 835, 1957, 6676, 3109, 543, 519, 824, 2699, 269, 589, 5530, 540, 7351, 21073, 2372, 334, 540, 2296, 607, 513, 269, 1924, 1934, 616, 1614, 2596, 4388, 547, 1832, 538, 2247, 1247, 1603, 513, 2140, 281, 476, 272, 316, 5901, 621, 2241, 5618, 10694, 281, 634, 3119, 1599, 540, 513, 2140, 269, 15101, 290, 981, 4574, 1923, 29517, 4065, 11621, 6787, 596, 616, 606, 10026, 1893, 6575, 4116, 715, 6311, 292, 814, 513, 9263, 268, 12649, 4760, 585, 596, 609, 1543, 10452, 1699, 269, 901, 1433, 568, 2854, 547, 4217, 10453, 538, 8600, 585, 519, 12729, 476, 274, 269, 8422, 1382, 2055, 11461, 519, 1353, 563, 8512, 476, 274, 630, 7726, 476, 278, 610, 269, 12729, 476, 274, 7005, 1957, 269, 4340, 547, 17090, 2511, 267, 596, 1590, 723, 513, 3718, 24764, 2985, 693, 519, 1439, 540, 707, 1382, 1957, 563, 262, 16592, 13012, 262, 6227, 1449, 2157, 476, 278, 547, 476, 1015, 269, 27076, 5441, 5507, 910, 717, 24612, 1401, 3133, 725, 538, 1975, 7505, 2296, 269, 6092, 18509, 13541, 476, 26341, 667, 269, 12729, 476, 274, 7005, 1957, 269, 12729, 476, 274, 7005, 1957, 269, 634, 2296, 4528, 3091, 5697, 4930, 689, 269, 8682, 268, 1565, 4856, 1676, 910, 9149, 4258, 978, 9487, 6554, 12729, 3427, 476, 7918, 11778, 269, 1677, 1265, 519, 1957, 602, 13292, 707, 1032, 1377, 267, 5225, 5077, 519, 1957, 547, 1032, 1377, 7503, 3349, 269, 1280, 22410, 689, 5111, 476, 1839, 563, 26261, 4843, 538, 519, 476, 1428, 628, 645, 1329, 333, 658, 10554, 540, 519, 7489, 269, 589, 3119, 476, 275, 2875, 267, 7307, 547, 2087, 1010, 2296, 5888, 7436, 689, 476, 278, 270, 476, 736, 547, 476, 1789, 270, 476, 2412, 630, 12729, 476, 276, 264, 1310, 1210, 519, 8111, 19536, 12814, 4480, 6026, 538, 563, 23173, 8822, 12729, 6744, 4812, 269, 12729, 3506, 2348, 19446, 607, 741, 5420, 540, 6044, 543, 269, 11062, 12729, 4273, 1833, 18873, 12815, 14430, 8609, 476, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7312, 4387, 666, 948, 596, 2268, 543, 3950, 707, 1973, 2604, 547, 6166, 2436, 621, 779, 1932, 1164, 269, 1411, 949, 991, 547, 1376, 2921, 6527, 952, 707, 1973, 2604, 3085, 1406, 2087, 1310, 835, 3923, 540, 1739, 513, 2635, 6197, 267, 2523, 952, 596, 2461, 2907, 693, 1164, 1981, 585, 2295, 2068, 269, 1403, 596, 2461, 693, 2539, 1981, 267, 707, 4387, 949, 1616, 547, 1246, 909, 538, 1614, 547, 3670, 3275, 1310, 596, 4076, 7550, 811, 2635, 6208, 563, 277, 269, 4980, 10675, 2566, 2359, 269, 1411, 1810, 1406, 991, 513, 13849, 20400, 540, 20165, 2090, 547, 6961, 2566, 666, 6318, 1973, 2604, 267, 855, 789, 2291, 269, 1411, 666, 1406, 9004, 2566, 267, 855, 596, 666, 7413, 922, 1764, 269, 3194, 2982, 10649, 543, 9066, 1711, 2500, 2994, 547, 4383, 2566, 543, 1973, 2604, 269, 1403, 1346, 5749, 1406, 707, 3364, 267, 2015, 824, 2566, 3146, 12340, 1324, 12485, 1519, 2620, 7244, 610, 8026, 11009, 563, 320, 2295, 4323, 267, 5993, 2168, 267, 1973, 2604, 267, 1973, 2604, 5750, 267, 1973, 2604, 2732, 267, 1973, 2604, 13119, 267, 1973, 2604, 13220, 267, 1973, 2604, 14319, 267, 6315, 3912, 14527, 267, 10683, 267, 21686, 2732, 267, 3987, 267, 1019, 770, 4301, 1973, 2604, 267, 2732, 267, 2068, 540, 519, 2295, 267, 23762, 2295, 267, 3536, 602, 2539, 1973, 2604, 267, 1434, 1072, 267, 723, 1164, 1973, 2604, 267, 2348, 513, 2295, 4323, 267, 1072, 267, 1072, 3377, 267, 2295, 4323, 267, 2295, 5821, 267, 2295, 2635, 267, 2295, 2635, 3536, 267, 2295, 4887, 267, 1164, 1973, 2604, 267, 1164, 1973, 2604, 13119, 267, 1164, 1973, 2604, 14319, 267, 13119, 267, 5492, 3290, 267, 1970, 1973, 2604, 267, 2539, 1973, 2604, 267, 16035, 267, 4887, 267, 12779, 334, 2732, 267, 2168, 2534, 267, 15799, 19221, 267, 2061, 1164, 1973, 2604, 267, 8482, 267, 8482, 1981, 267, 6280, 1072, 3377, 267, 4365, 563, 2252, 596, 1589, 5798, 616, 711, 2295, 2635, 267, 596, 1058, 917, 602, 2250, 2090, 723, 3254, 602, 586, 565, 802, 1810, 1406, 6318, 2295, 2068, 1981, 269, 3767, 267, 2487, 1382, 814, 1336, 602, 4212, 16543, 17330, 513, 1747, 593, 519, 1592, 540, 3536, 547, 2539, 1973, 2604, 267, 2687, 547, 513, 1353, 4843, 693, 513, 5870, 540, 519, 1977, 11906, 5980, 269, 1306, 631, 839, 10890, 2593, 4080, 267, 950, 14148, 609, 1164, 1973, 2604, 941, 10480, 513, 3940, 1336, 538, 4212, 16543, 267, 789, 4810, 513, 6749, 538, 1973, 2604, 602, 729, 13380, 547, 513, 1970, 9570, 540, 12650, 641, 22567, 267, 513, 1973, 25774, 268, 869, 1359, 6646, 269, 4014, 811, 1382, 568, 2877, 267, 5798, 616, 513, 4396, 2707, 540, 3940, 267, 6171, 667, 267, 543, 824, 2635, 5567, 563, 20797, 11005, 610, 3500, 267, 2620, 7244, 269, 6657, 2921, 2620, 267, 3500, 24967, 547, 948, 6001, 269, 1703, 616, 930, 3457, 2139, 602, 3895, 3500, 267, 2620, 7244, 269, 4340, 547, 519, 1977, 9839, 5948, 267, 3926, 28621, 3660, 7244, 949, 581, 513, 10257, 562, 1180, 2607, 4781, 585, 16715, 1973, 2604, 267, 2523, 950, 4160, 9311, 625, 1164, 1973, 2604, 610, 3044, 5574, 5749, 1405, 1134, 2389, 11217, 730, 563, 1432, 596, 991, 547, 917, 827, 12498, 1532, 6674, 619, 29530, 1532, 6674, 619, 616, 5061, 602, 616, 1031, 547, 3500, 1524, 513, 1268, 781, 2295, 2557, 269, 24930, 949, 21559, 873, 585, 513, 2039, 540, 4128, 267, 1519, 2587, 2088, 543, 1164, 1973, 2604, 269, 1703, 616, 1082, 2010, 543, 12478, 540, 12498, 1532, 6674, 619, 267, 930, 540, 799, 1860, 824, 2694, 540, 519, 1560, 269, 6258, 827, 2427, 2360, 267, 1309, 1903, 267, 543, 4205, 269, 3367, 1631, 454, 23005, 1456, 519, 3339, 1973, 2604, 2039, 538, 1453, 568, 513, 2370, 7294, 267, 543, 621, 782, 5673, 593, 519, 2450, 543, 2085, 540, 519, 1126, 269, 2290, 4341, 540, 14853, 602, 7189, 946, 547, 3313, 22680, 13542, 538, 1453, 568, 602, 267, 513, 1126, 568, 2808, 547, 581, 7092, 689, 2776, 30104, 11364, 269, 1403, 646, 24172, 814, 513, 1973, 2604, 2362, 982, 602, 540, 476, 3445, 260, 540, 519, 1453, 540, 519, 1482, 2085, 543, 2450, 269, 634, 1126, 568, 1767, 547, 723, 13119, 952, 646, 24172, 814, 513, 1973, 2604, 2362, 982, 602, 540, 476, 4817, 260, 540, 519, 1453, 540, 519, 1482, 2085, 543, 2450, 563, 8253, 19599, 267, 1082, 2090, 723, 1336, 602, 4657, 547, 513, 1970, 19339, 20757, 2732, 666, 3648, 2539, 1973, 2604, 269, 634, 6467, 666, 849, 2569, 519, 1253, 7675, 2589, 2404, 609, 13119, 267, 2687, 547, 513, 16528, 1353, 269, 2311, 519, 1439, 540, 519, 4693, 1974, 267, 1034, 2550, 1185, 1044, 2111, 547, 2285, 909, 6646, 267, 476, 2004, 829, 1298, 5433, 2048, 332, 1276, 1732, 8730, 476, 1428, 829, 1298, 5433, 2048, 321, 21392, 685, 543, 476, 1789, 829, 1298, 5433, 2048, 14814, 569, 16626, 17483, 2252, 596, 616, 538, 713, 476, 9873, 270, 3199, 2039, 267, 4227, 707, 1973, 2604, 666, 948, 2149, 596, 689, 2295, 4323, 267, 8482, 267, 8459, 2068, 267, 3750, 2068, 267, 543, 1256, 5042, 7771, 269, 634, 3804, 540, 519, 1007, 4808, 568, 547, 5000, 596, 547, 1521, 707, 1164, 1973, 2604, 12517, 543, 547, 1491, 2962, 547, 3142, 621, 1524, 267, 5097, 1210, 6197, 7459, 269, 834, 2005, 568, 1134, 13006, 602, 6197, 2242, 666, 2539, 1973, 2604, 607, 1454, 607, 21447, 666, 267, 543, 3006, 1256, 811, 2437, 3081, 3220, 269, 17384, 563, 2005, 568, 8037, 602, 11005, 543, 9066, 267, 1498, 3730, 585, 1082, 5301, 267, 723, 711, 1044, 1336, 547, 1764, 1164, 1973, 2604, 269, 3509, 1004, 1265, 713, 9670, 267, 7654, 2094, 1164, 1973, 2604, 849, 568, 1634, 607, 968, 30104, 11364, 1848, 5221, 540, 713, 5732, 22801, 2165, 267, 1082, 1004, 723, 10924, 602, 1164, 2157, 540, 2566, 610, 968, 11364, 892, 616, 513, 2101, 2014, 540, 968, 30104, 11364, 2223, 610, 1164, 1973, 2604, 269, 901, 568, 711, 519, 2013, 269, 4400, 1973, 2604, 568, 606, 9247, 7344, 267, 543, 711, 5626, 267, 1966, 269, 0, 295, 558, 18400, 1603, 538, 519, 2136, 2276, 1212, 23264, 538, 519, 1974, 689, 519, 1439, 540, 2622, 2782, 4083, 2394, 519, 4098, 540, 519, 14447, 19802, 3350, 538, 634, 17646, 268, 549, 1993, 539, 10473, 538, 2699, 15839, 610, 519, 6264, 3818, 13652, 1188, 3043, 23525, 269, 18539, 322, 5435, 781, 4901, 540, 519, 5250, 540, 519, 2413, 28305, 2283, 2225, 538, 713, 1433, 729, 519, 2582, 1034, 9565, 3815, 538, 519, 5250, 540, 20210, 3069, 269, 23680, 713, 2361, 10145, 269, 2701, 5910, 1742, 711, 547, 5469, 519, 17254, 326, 956, 543, 3154, 1186, 269, 769, 519, 1152, 16806, 594, 729, 513, 851, 540, 594, 729, 519, 8768, 8004, 945, 4371, 909, 519, 16008, 9054, 9934, 547, 6749, 3160, 27993, 540, 24968, 22290, 1169, 890, 342, 267, 32222, 547, 4734, 4896, 856, 269, 6423, 849, 14447, 23412, 9954, 14447, 23412, 10070, 563, 12024, 23415, 267, 646, 8179, 547, 7519, 6671, 2418, 676, 1016, 31844, 519, 1893, 3294, 563, 294, 599, 9085, 281, 17826, 543, 1160, 572, 454, 15371, 519, 1367, 568, 4535, 28305, 610, 1010, 610, 1200, 28305, 13821, 616, 13998, 9112, 267, 621, 568, 2312, 602, 3053, 334, 1606, 2615, 881, 6436, 540, 32270, 607, 513, 524, 9092, 2068, 941, 606, 8798, 540, 519, 3735, 13524, 543, 2038, 14206, 5553, 269, 634, 1482, 8753, 267, 2705, 267, 666, 581, 1031, 547, 8589, 1125, 14447, 12591, 676, 1818, 873, 3100, 8806, 835, 540, 1082, 14758, 27964, 538, 519, 10848, 540, 1480, 4638, 4082, 269, 634, 661, 8527, 923, 540, 22503, 16520, 21664, 269, 4014, 1977, 3332, 538, 519, 1101, 1079, 22188, 540, 519, 14206, 2540, 3592, 2141, 10522, 519, 3053, 334, 1606, 2615, 881, 4214, 8164, 32270, 13788, 519, 1257, 267, 18724, 2006, 1185, 1010, 1378, 1967, 832, 267, 689, 2349, 1170, 25844, 534, 2443, 543, 9400, 670, 913, 344, 2443, 547, 9370, 6577, 19134, 2917, 2443, 547, 18999, 8725, 24806, 2443, 543, 15168, 761, 700, 753, 532, 536, 269, 8738, 893, 338, 8179, 547, 7519, 1893, 543, 15007, 267, 543, 1010, 2093, 543, 2553, 267, 971, 607, 519, 2759, 5346, 1505, 267, 1185, 9645, 2956, 585, 14447, 610, 24139, 5830, 899, 918, 4331, 589, 14982, 563, 288, 2540, 4505, 267, 32240, 18724, 2006, 729, 2111, 547, 1397, 32270, 607, 3339, 543, 2635, 269, 4033, 4249, 676, 13879, 616, 8449, 23892, 538, 713, 2543, 267, 16113, 22582, 7831, 14400, 514, 799, 519, 1915, 1530, 30807, 1014, 10469, 762, 568, 10057, 267, 12777, 267, 676, 519, 1762, 8695, 646, 814, 6822, 340, 1027, 269, 13067, 26557, 666, 581, 2938, 607, 2813, 543, 13684, 676, 519, 2528, 2864, 982, 607, 1945, 6074, 269, 9210, 626, 655, 1108, 540, 519, 1849, 657, 564, 269, 10228, 3194, 15610, 540, 9085, 269, 634, 25925, 540, 9093, 281, 0, 3528, 631, 269, 7935, 323, 4459, 454, 18600, 1944, 602, 649, 2811, 13113, 267, 875, 786, 649, 21078, 547, 519, 2407, 652, 286, 1589, 518, 6723, 16114, 27011, 15695, 1412, 338, 2869, 3770, 640, 262, 2636, 721, 547, 1205, 12257, 689, 1018, 649, 1631, 723, 269, 901, 8313, 5587, 5809, 543, 11498, 16114, 27011, 781, 2272, 540, 17035, 267, 6466, 11021, 875, 519, 1033, 16670, 540, 17035, 666, 14867, 1480, 989, 3415, 267, 2333, 938, 2729, 267, 543, 1118, 721, 3677, 3425, 563, 3528, 1261, 728, 1375, 518, 267, 9410, 282, 3657, 526, 339, 267, 670, 20087, 282, 700, 7238, 5976, 267, 20913, 282, 654, 22223, 267, 9400, 282, 1261, 728, 1375, 518, 267, 9410, 282, 16205, 2224, 267, 29464, 282, 13744, 553, 267, 17713, 454, 32354, 1261, 728, 1375, 518, 1223, 581, 519, 476, 736, 555, 2540, 781, 5021, 1589, 518, 267, 543, 1010, 10367, 19430, 513, 2603, 602, 781, 2189, 543, 8903, 538, 17953, 344, 11556, 269, 589, 6822, 10631, 633, 11000, 4055, 4527, 267, 646, 13631, 5125, 781, 6505, 652, 7820, 6457, 338, 2429, 519, 3828, 550, 625, 269, 3509, 723, 1044, 7642, 267, 945, 6368, 1590, 31363, 741, 10952, 543, 267, 2356, 267, 1378, 19647, 547, 1261, 728, 1375, 518, 2059, 609, 1010, 683, 325, 13895, 2797, 5784, 563, 1103, 476, 4350, 274, 267, 1261, 728, 1375, 518, 585, 3022, 1010, 2603, 609, 18487, 4317, 1143, 269, 1261, 2695, 601, 3481, 519, 11678, 540, 6014, 5640, 543, 3954, 6407, 8284, 20485, 7247, 646, 2219, 540, 13385, 569, 9097, 269, 1280, 1296, 267, 646, 9896, 5022, 543, 8118, 15872, 609, 15234, 3891, 559, 13609, 256, 5257, 1261, 6976, 546, 1132, 547, 519, 13303, 1514, 11018, 2394, 5555, 519, 11877, 9096, 269, 1312, 16602, 585, 1010, 5449, 5640, 723, 1044, 1010, 521, 867, 573, 3646, 547, 1118, 16650, 11556, 3028, 762, 547, 13303, 7475, 543, 1010, 5821, 547, 2479, 21704, 1346, 3527, 563, 1607, 552, 26247, 7710, 875, 476, 275, 540, 1261, 728, 1375, 518, 781, 865, 1454, 9565, 6014, 5640, 3893, 1934, 547, 17680, 1186, 1927, 609, 1010, 13303, 3919, 543, 519, 1259, 621, 4299, 741, 6236, 269, 670, 20087, 3657, 526, 339, 267, 945, 729, 2899, 1261, 728, 1375, 518, 781, 24158, 538, 1840, 547, 1010, 16159, 267, 4682, 2047, 547, 2490, 883, 835, 540, 1082, 2540, 781, 5021, 2797, 17024, 269, 20913, 700, 7238, 5976, 1394, 547, 5125, 538, 476, 4198, 274, 543, 3728, 8057, 547, 1831, 835, 538, 782, 922, 2101, 15806, 269, 17713, 13744, 553, 8057, 1134, 8153, 607, 5125, 781, 1034, 1134, 1634, 1589, 518, 540, 2825, 1143, 269, 29464, 16205, 2224, 4465, 4583, 1268, 607, 513, 7671, 31060, 2852, 1164, 321, 992, 543, 21927, 547, 519, 2487, 19382, 563, 3963, 1705, 1346, 11141, 8186, 3111, 547, 5544, 1018, 729, 2899, 538, 1261, 728, 1375, 518, 781, 4099, 543, 5125, 781, 22038, 286, 1215, 1223, 789, 267, 1310, 519, 13137, 267, 31272, 571, 1047, 5125, 781, 1164, 321, 992, 5389, 286, 949, 5310, 789, 32006, 720, 18125, 540, 1261, 728, 1375, 518, 781, 11556, 286, 949, 741, 6138, 21613, 610, 8499, 7947, 741, 2038, 2984, 286, 949, 5310, 1346, 1261, 728, 1375, 518, 2103, 31799, 267, 610, 5310, 3801, 547, 10146, 267, 519, 20729, 531, 540, 519, 18560, 789, 865, 7986, 286, 1261, 728, 1375, 518, 781, 5753, 1327, 919, 1346, 19433, 525, 1369, 519, 9962, 24271, 559, 612, 20451, 602, 552, 340, 7642, 9952, 741, 5021, 1608, 600, 640, 14678, 1739, 741, 2407, 652, 21939, 269, 1656, 621, 796, 792, 2195, 540, 741, 6114, 3435, 547, 2055, 827, 519, 1915, 540, 16650, 771, 650, 4288, 618, 543, 519, 795, 15802 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 320, 25507, 9272, 2891, 11767, 1022, 1297, 2433, 27328, 321, 25507, 9272, 2891, 11767, 1776, 1297, 2433, 27328, 2745, 2891, 4910, 738, 2433, 14307, 320, 17070, 264, 0, 5035, 9906, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 2651, 267, 1372, 696, 267, 743, 326, 2187, 1038, 1582, 20508, 284, 4067, 454, 1038, 1582, 269, 2651, 284, 2651, 454, 1038, 1582, 19709, 696, 284, 1372, 696, 454, 1038, 1582, 17085, 326, 284, 743, 326, 454, 825, 1219, 1820, 341, 4311, 2187, 1038, 1820, 2891, 11243, 2433, 14307, 1345, 20508, 2437, 315, 333, 305, 3326, 2433, 14307, 1345, 269, 2651, 2437, 315, 333, 23430, 2433, 14307, 1345, 19709, 696, 2437, 31955, 2433, 14307, 1345, 17085, 326, 994, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1582, 20508, 266, 1598, 4311, 269, 2651, 2020, 4067, 284, 6358, 2891, 11767, 8745, 2433, 19515, 2651, 25507, 9272, 2891, 11767, 24305, 2433, 27328, 1372, 696, 284, 6358, 2891, 11767, 4972, 2433, 19515, 743, 326, 284, 6358, 2891, 11767, 5441, 2433, 19515, 334, 284, 22923, 28442, 267, 2651, 267, 1372, 696, 267, 743, 326, 994, 334, 31428, 341, 4590, 2745, 263, 334, 264, 0, 12163, 5814, 556, 454, 337, 284, 6358, 2891, 11767, 943, 333, 1100, 2433, 19515, 343, 8782, 315, 323, 346, 1015, 348, 7055, 332, 284, 516, 269, 21459, 332, 2255, 3287, 267, 337, 994, 604, 544, 568, 711, 7183, 912, 825, 1820, 2891, 11749, 573, 5602, 12828, 912, 825, 1820, 2891, 1103, 20777, 5602, 20701, 5814, 556, 454, 337, 284, 6358, 2891, 11767, 943, 333, 1100, 2433, 19515, 343, 8782, 314, 266, 11011, 31765, 274, 22042, 271, 268, 280, 31765, 1015, 348, 7055, 332, 284, 516, 269, 21459, 332, 2255, 3287, 267, 337, 994, 604, 544, 568, 711, 7183, 912, 825, 1820, 2891, 11749, 573, 5602, 12828, 912, 825, 1820, 2891, 1103, 20777, 8442, 0, 258, 4460, 543, 3328, 540, 2875, 692, 258, 544, 272, 25507, 9272, 2891, 10387, 614, 476, 272, 560, 1665, 2433, 27328, 258, 544, 273, 25507, 9272, 2891, 10387, 614, 476, 273, 526, 1665, 2433, 27328, 258, 544, 274, 25507, 9272, 2891, 10387, 614, 476, 274, 6113, 1665, 2433, 27328, 258, 544, 275, 25507, 9272, 2891, 10387, 614, 476, 275, 628, 1665, 2433, 27328, 258, 544, 276, 25507, 9272, 2891, 10387, 614, 476, 276, 628, 1665, 2433, 27328, 258, 2698, 284, 332, 272, 266, 332, 273, 266, 332, 274, 266, 332, 275, 266, 332, 276, 454, 258, 1820, 2891, 13707, 4460, 2433, 14307, 20135, 994, 258, 1820, 2891, 30182, 2433, 14307, 20135, 270, 276, 2020, 692, 258, 4210, 6260, 454, 320, 25507, 9272, 2891, 11767, 476, 272, 560, 1297, 2433, 27328, 321, 25507, 9272, 2891, 11767, 476, 273, 526, 1297, 2433, 27328, 2745, 2891, 6524, 2220, 6260, 2433, 589, 815, 14307, 320, 2437, 645, 815, 14307, 321, 994, 322, 30381, 454, 320, 284, 321, 454, 321, 284, 322, 454, 258, 306, 4488, 31631, 744, 8976, 454, 258, 263, 320, 14720, 6661, 263, 321, 28083, 994, 2745, 2891, 5475, 2220, 6260, 2433, 589, 815, 14307, 320, 2437, 645, 815, 14307, 321, 264, 0, 12163, 330, 284, 272, 454, 1721, 521, 538, 2039, 263, 273, 2187, 825, 585, 1775, 538, 2039, 263, 277, 2187, 1038, 585, 795, 538, 2039, 9217, 2187, 2018, 1820, 17347, 267, 754, 6889, 19515, 1038, 1820, 2891, 5602, 825, 737, 23785, 272, 454, 825, 585, 1775, 538, 2039, 263, 277, 267, 271, 16427, 272, 2187, 1038, 585, 795, 538, 2039, 263, 271, 267, 328, 268, 272, 2187, 2018, 1820, 17347, 267, 754, 6889, 19515, 1038, 1820, 2891, 5602, 825, 737, 23785, 272, 454, 825, 29185, 320, 25507, 9272, 2891, 11767, 19461, 2039, 2433, 27328, 321, 25507, 9272, 2891, 11767, 15937, 2039, 2433, 27328, 1721, 1775, 538, 2039, 5416, 14720, 2187, 825, 952, 630, 328, 260, 273, 2525, 271, 2187, 1038, 585, 737, 538, 2039, 16868, 267, 271, 16427, 272, 2187, 2018, 585, 795, 538, 2039, 263, 271, 267, 330, 2187, 3546, 1820, 9217, 267, 754, 6889, 19515, 2018, 1820, 19629, 337, 5602, 825, 3116, 912, 1038, 585, 561, 538, 2039, 6357, 2187, 2018, 585, 544, 538, 2039, 263, 271, 267, 331, 266, 272, 2187, 3546, 1820, 9217, 267, 754, 6889, 19515, 2018, 1820, 19629, 337, 8442, 0, 5035, 5410, 912, 825, 1219, 1840, 4311, 28083, 14720, 2187, 1038, 1582, 6983, 30381, 17070, 454, 825, 1219, 8228, 4311, 2187, 1038, 1820, 2891, 4910, 738, 2433, 14307, 1345, 6983, 994, 320, 284, 11754, 4590, 333, 272, 25507, 9272, 2891, 11767, 476, 272, 560, 1297, 2433, 27328, 333, 273, 25507, 9272, 2891, 11767, 476, 273, 526, 1297, 2433, 27328, 320, 269, 611, 1288, 3799, 272, 19885, 273, 994, 320, 31428, 532, 3890, 0, 5035, 2241, 15517, 6769, 8587, 513, 815, 10581, 9272, 2891, 11767, 25867, 8442, 3418, 8587, 536, 815, 10581, 9272, 2891, 11767, 15580, 257, 4297, 567, 1477, 8587, 524, 815, 10581, 9272, 2891, 11767, 5384, 8442, 3418, 8587, 533, 815, 1193, 5416, 3418, 8587, 512, 815, 1193, 6262, 3418, 8587, 678, 815, 1193, 6357, 3418, 8587, 15273, 815, 513, 2608, 536, 2608, 524, 1477, 8587, 759, 815, 1193, 9852, 592, 3418, 8587, 1608, 815, 15273, 270, 1911, 1477, 8587, 23906, 815, 1193, 263, 5632, 3418, 8587, 1820, 2891, 26594, 9314, 630, 10485, 6661, 630, 8976, 305, 8358, 1911, 14744, 8587, 1820, 2891, 4449, 16038, 815, 9497, 266, 533, 1341, 834, 2608, 834, 266, 512, 1341, 834, 2608, 834, 1341, 678, 1341, 834, 264, 1315, 476, 1911, 271, 14744, 8587, 1820, 2891, 4449, 16038, 815, 9497, 1341, 759, 1341, 834, 264, 1315, 476, 1911, 14744, 8587, 1820, 2891, 4449, 16038, 815, 834, 1341, 23906, 3418, 8587, 1820, 2891, 11997, 267, 16038, 815, 834, 266, 23906, 3418, 1363, 1477, 0, 258, 7383, 519, 3758, 454, 5814, 26417, 454, 12803, 815, 18011, 6734, 6261, 3155, 20189, 727, 1740, 318, 13695, 289, 1678, 318, 4910, 1545, 10734, 644, 1326, 12774, 27406, 262, 9239, 5976, 1930, 630, 12803, 267, 1007, 1467, 284, 5257, 264, 607, 26417, 12803, 912, 825, 26417, 1348, 518, 815, 26417, 18667, 518, 6262, 12364, 12803, 994, 825, 20927, 32284, 815, 1985, 6262, 12364, 1348, 518, 994, 567, 1948, 13729, 606, 8900, 1592, 585, 1142, 1305, 540, 7635, 454, 825, 7443, 9078, 1601, 815, 11713, 825, 2698, 318, 3000, 2195, 815, 11713, 825, 1948, 5590, 606, 8900, 1592, 585, 7443, 15828, 1601, 543, 1376, 513, 1293, 607, 476, 271, 547, 1265, 519, 31278, 3097, 825, 7443, 9078, 1601, 318, 3863, 815, 11713, 825, 7173, 318, 16118, 9078, 1601, 815, 476, 271, 454, 567, 1948, 31230, 547, 1039, 3688, 547, 606, 8900, 1592, 689, 6241, 476, 272, 543, 476, 273, 454, 825, 585, 4737, 538, 26417, 1348, 518, 912, 825, 1948, 5590, 513, 2783, 547, 18178, 519, 1101, 4737, 540, 31278, 1317, 621, 1281, 660, 723, 513, 1239, 454, 8587, 952, 7003, 6025, 4973, 318, 3000, 2195, 264, 3436, 476, 271, 912, 16875, 7443, 9078, 1601, 6910, 630, 703, 21405, 314, 272, 8079, 910, 703, 263, 2181, 341, 318, 16118, 9078, 1601, 264, 3738, 3097, 672, 1948, 11754, 1239, 547, 1592, 454, 8587, 2698, 318, 3000, 2195, 6910, 630, 992, 314, 271, 7481, 8587, 7443, 9078, 1601, 318, 3863, 6910, 21405, 314, 272, 7481, 8587, 7173, 318, 16118, 9078, 1601, 815, 4737, 314, 272, 2639, 825, 1948, 4032, 2698, 3275, 454, 825, 2698, 318, 3000, 2195, 318, 272, 815, 476, 7003, 6025, 4973, 318, 3000, 2195, 264, 3097, 825, 1948, 22417, 1527, 597, 15828, 1601, 5569, 547, 1297, 3097, 825, 2698, 815, 1496, 842, 9217, 264, 585, 1775, 538, 7443, 9078, 1601, 318, 3863, 2639, 825, 1948, 4855, 2698, 540, 30825, 13624, 1601, 454, 825, 2698, 318, 16118, 9078, 1601, 815, 2040, 630, 20135, 994, 825, 1948, 22417, 3017, 5044, 547, 2338, 454, 825, 886, 4671, 4973, 815, 1496, 842, 9217, 264, 585, 1775, 538, 7443, 9078, 1601, 2639, 825, 1948, 4855, 3017, 2698, 454, 825, 886, 4671, 4973, 23544, 815, 2040, 5560, 858, 4671, 4973, 994, 825, 1948, 8340, 3328, 454, 825, 3328, 815, 5180, 5560, 858, 4671, 4973, 23544, 1315, 7003, 5560, 858, 4671, 4973, 4917, 825, 1948, 8340, 3193, 2179, 3097, 825, 3193, 18425, 920, 848, 815, 3193, 5560, 858, 4671, 4973, 994, 825, 1948, 8340, 1295, 2179, 454, 825, 1295, 318, 1372, 920, 848, 815, 1295, 5560, 858, 4671, 4973, 994, 825, 1948, 15507, 585, 3193, 543, 1295, 2179, 4994, 538, 13600, 6241, 547, 1265, 513, 4266, 454, 825, 3193, 16229, 815, 886, 4671, 4973, 28827, 32384, 18425, 920, 848, 994, 825, 1295, 16229, 815, 886, 4671, 4973, 28827, 263, 2381, 318, 1372, 920, 848, 994, 825, 3193, 318, 24629, 815, 2698, 318, 3000, 2195, 314, 10946, 16229, 1341, 476, 272, 2639, 825, 1295, 318, 24629, 815, 2698, 318, 3000, 2195, 314, 2381, 16229, 1341, 476, 272, 2639, 258, 19530, 782, 17016, 454, 2745, 2891, 26296, 5811, 5602, 2745, 9497, 13707, 3275, 281, 834, 1341, 1193, 6025, 4973, 318, 3000, 2195, 318, 272, 4297, 825, 454, 2745, 2891, 13707, 281, 834, 1341, 834, 259, 257, 1341, 1193, 6025, 4973, 318, 16118, 9078, 1601, 4917, 2745, 2891, 30182, 1689, 281, 834, 1341, 834, 259, 257, 1341, 1193, 5416, 2071, 4917, 2745, 2891, 15124, 652, 2333, 538, 4515, 1080, 281, 834, 1341, 3193, 318, 24629, 1341, 834, 1269, 257, 1341, 1193, 32384, 18425, 920, 848, 4917, 2745, 2891, 15124, 652, 6175, 538, 4515, 1080, 281, 834, 1341, 1295, 318, 24629, 1341, 834, 1269, 257, 1341, 1193, 263, 2381, 318, 1372, 920, 848, 11723, 12803, 272, 815, 1930, 2891, 12803, 17902, 2580, 834, 342, 5602, 338, 1511, 18316, 815, 22373, 1598, 272, 14826, 20350, 825, 834, 26296, 5811, 14826, 20350, 825, 834, 13707, 3275, 281, 834, 1341, 1193, 6025, 4973, 318, 3000, 2195, 318, 272, 264, 1341, 27719, 333, 20350, 825, 834, 13707, 281, 834, 1341, 1412, 259, 262, 1341, 1193, 6025, 4973, 318, 16118, 9078, 1601, 264, 1341, 27719, 333, 20350, 825, 834, 30182, 1689, 281, 834, 1341, 1412, 259, 262, 1341, 1193, 5416, 2071, 264, 1341, 27719, 333, 20350, 825, 834, 15124, 652, 2333, 538, 4515, 1080, 281, 834, 1341, 3193, 318, 24629, 1341, 1412, 1269, 262, 1341, 1193, 32384, 18425, 920, 848, 264, 1341, 27719, 333, 20350, 825, 834, 15124, 652, 6175, 538, 4515, 1080, 281, 834, 1341, 1295, 318, 24629, 1341, 1412, 1269, 262, 266, 1193, 263, 2381, 318, 1372, 920, 848, 22708, 12803, 272, 9884, 761, 3894, 4433, 1511, 18316, 994, 12803, 272, 25379, 3890, 0, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 3097, 5814, 4351, 692, 3698, 8237, 17601, 15305, 16597, 281, 1592, 267, 1449, 15481, 281, 10581, 284, 271, 269, 275, 2187, 3097, 825, 23288, 1038, 23370, 31304, 303, 3582, 454, 1038, 28612, 734, 8894, 1038, 17337, 1239, 883, 513, 2866, 1305, 543, 513, 4152, 1305, 454, 1038, 1449, 15481, 568, 1031, 547, 5581, 519, 4939, 540, 1239, 799, 1058, 979, 883, 454, 1038, 519, 4152, 1305, 454, 3097, 1038, 24315, 4456, 4953, 8991, 454, 1038, 28612, 734, 454, 1038, 513, 1592, 454, 3097, 1038, 681, 4953, 7838, 10064, 454, 1038, 28612, 734, 454, 1038, 513, 24042, 1141, 519, 1101, 3693, 568, 519, 2866, 1305, 454, 1038, 20735, 519, 2034, 3693, 568, 519, 4152, 1305, 454, 825, 23288, 825, 1948, 4939, 1590, 581, 1063, 476, 271, 269, 272, 543, 476, 271, 269, 4200, 454, 825, 952, 711, 476, 271, 269, 4200, 3436, 1449, 15481, 3436, 476, 271, 269, 272, 912, 1038, 6318, 28759, 3488, 11687, 15481, 1590, 581, 1063, 476, 271, 269, 272, 543, 476, 271, 269, 4200, 5073, 8931, 825, 1449, 15481, 318, 842, 815, 703, 6025, 652, 15481, 2608, 476, 1911, 994, 3097, 825, 5721, 12774, 815, 11713, 825, 1449, 12774, 815, 11713, 3097, 825, 585, 4737, 538, 1239, 912, 1038, 952, 4351, 27110, 263, 272, 267, 476, 1911, 264, 10922, 1449, 15481, 318, 842, 912, 2018, 1449, 12774, 6910, 21405, 994, 1038, 3116, 912, 2018, 5721, 12774, 6910, 21405, 994, 8931, 825, 2132, 5721, 12774, 267, 1449, 12774, 692, 5035, 12430, 8802, 1833, 24998, 17107, 825, 23288, 1038, 23370, 31304, 303, 3582, 454, 1038, 28612, 19567, 1038, 18103, 2435, 2547, 10945, 12430, 22953, 1362, 269, 3097, 1038, 21964, 13506, 13956, 5690, 547, 1265, 519, 1655, 519, 339, 553, 269, 3097, 1038, 634, 30661, 616, 13387, 1354, 4358, 547, 1265, 519, 1655, 519, 339, 553, 630, 311, 910, 18665, 264, 1315, 29178, 692, 1038, 1403, 3044, 1125, 568, 1305, 547, 8771, 1287, 519, 519, 339, 553, 616, 632, 268, 20598, 1242, 1310, 519, 5690, 568, 2944, 692, 1038, 1879, 1210, 519, 1412 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 1215, 547, 2259, 14696, 547, 3142, 596, 883, 519, 1459, 4090, 543, 948, 596, 547, 1745, 1732, 454, 268, 1299, 513, 2603, 811, 563, 2791, 1590, 581, 29429, 538, 547, 2022, 513, 6085, 269, 0, 9556, 2544, 476, 272, 281, 8330, 8676, 454, 1607, 9074, 862, 1878, 609, 519, 6609, 543, 27496, 540, 10447, 269, 634, 1686, 267, 31630, 543, 513, 2039, 540, 1981, 2188, 616, 13890, 269, 1323, 7650, 540, 519, 5868, 543, 6268, 540, 2550, 609, 10447, 849, 2882, 13147, 923, 540, 10447, 2589, 269, 634, 5868, 543, 2359, 540, 10447, 585, 10708, 543, 4079, 568, 13890, 1519, 10368, 2645, 269, 634, 9074, 1287, 7575, 547, 519, 5868, 267, 10368, 2645, 543, 2359, 540, 10447, 538, 12256, 543, 1453, 269, 4414, 17514, 547, 1413, 585, 616, 3769, 269, 634, 9074, 20147, 609, 1344, 593, 19711, 10445, 10447, 267, 10447, 18002, 267, 8650, 10447, 538, 3119, 1416, 267, 12674, 543, 2139, 10447, 2200, 563, 9556, 2544, 476, 273, 281, 18127, 26861, 10614, 17240, 14004, 8376, 630, 4596, 11520, 994, 1607, 9074, 11828, 30189, 543, 519, 2009, 7700, 10636, 18100, 1895, 540, 2404, 3157, 269, 18567, 267, 513, 564, 5735, 267, 31630, 543, 519, 11411, 540, 713, 2068, 616, 13890, 269, 3962, 3942, 540, 519, 30189, 29930, 4808, 630, 19111, 4466, 543, 6166, 5868, 267, 19630, 1047, 1599, 267, 16473, 21324, 267, 3763, 513, 1544, 540, 1416, 543, 4383, 552, 311, 12488, 725, 264, 616, 6045, 538, 1469, 1519, 13753, 267, 1764, 4879, 267, 519, 16937, 540, 10447, 543, 30189, 543, 7893, 10335, 269, 31875, 547, 30189, 5868, 616, 2143, 269, 5004, 3681, 547, 5688, 1047, 5761, 1599, 543, 2061, 21324, 1519, 6197, 2188, 267, 6375, 5314, 543, 14278, 8839, 3681, 616, 13890, 269, 1290, 27225, 885, 2404, 609, 2550, 609, 30189, 616, 2143, 543, 29748, 3681, 13890, 269, 634, 9074, 849, 2882, 23080, 14306, 1416, 3681, 269, 16989, 10447, 666, 581, 2404, 609, 30189, 543, 713, 568, 5941, 538, 1469, 269, 634, 2359, 540, 2937, 10447, 568, 20460, 1243, 269, 634, 9074, 20147, 609, 513, 5758, 540, 1491, 1753, 6835, 563, 9556, 2544, 476, 274, 281, 16429, 639, 4345, 454, 1607, 9074, 5956, 609, 7713, 519, 3483, 540, 5609, 4926, 543, 875, 18980, 4345, 666, 1020, 269, 19928, 5024, 1981, 2188, 543, 9306, 2589, 616, 13890, 269, 22410, 3652, 616, 4330, 585, 519, 9224, 267, 11563, 267, 10772, 543, 9641, 1519, 2699, 17514, 585, 3968, 269, 17607, 540, 519, 5933, 540, 18980, 4345, 267, 28944, 543, 7634, 3681, 3313, 2359, 3681, 269, 5004, 3681, 616, 2143, 1519, 17725, 838, 904, 267, 4227, 6553, 267, 8156, 519, 5817, 2014, 543, 3106, 2121, 1154, 693, 1142, 1900, 602, 949, 849, 1331, 593, 1189, 29748, 269, 10644, 2994, 543, 1761, 8374, 616, 13890, 602, 2015, 824, 7700, 2188, 585, 606, 4244, 5868, 269, 634, 9074, 20147, 609, 606, 4791, 2013, 1383, 602, 25040, 519, 9074, 1543, 563, 9556, 2544, 476, 275, 281, 16592, 7929, 8778, 3968, 630, 7838, 2316, 994, 1607, 9074, 5956, 609, 606, 7650, 540, 772, 305, 30454, 1519, 519, 14169, 540, 519, 5580, 7929, 8778, 269, 5871, 5563, 616, 13890, 1519, 2619, 30986, 267, 4791, 19183, 267, 11186, 5868, 543, 2126, 3681, 269, 1452, 5563, 1331, 28591, 4345, 267, 18980, 4345, 267, 1274, 543, 15958, 1355, 267, 943, 28640, 4345, 267, 9748, 4106, 529, 267, 2620, 8405, 267, 561, 28640, 4345, 267, 524, 4981, 543, 3134, 580, 331, 2714, 4345, 269, 634, 1585, 10335, 2157, 540, 1142, 540, 891, 2175, 568, 4330, 547, 4217, 609, 8159, 2359, 3681, 563, 15761, 2105, 1565, 9074, 281, 5761, 2860, 454, 1607, 9074, 862, 1878, 609, 519, 27496, 543, 513, 564, 5735, 540, 5761, 11871, 269, 634, 1079, 1292, 2010, 540, 5761, 2860, 616, 1507, 1591, 5761, 2860, 630, 17092, 9448, 264, 543, 1875, 23337, 718, 1591, 5761, 2860, 630, 10064, 290, 9448, 1040, 8422, 26217, 2516, 616, 5941, 1519, 2695, 13904, 1591, 26217, 267, 20722, 665, 32555, 5448, 543, 1804, 1591, 630, 1495, 27075, 7007, 264, 26217, 269, 570, 32214, 7350, 568, 4330, 1519, 7636, 3889, 267, 13592, 543, 824, 22308, 19260, 269, 4197, 519, 3942, 540, 6084, 2293, 814, 1271, 9354, 543, 1322, 333, 8251, 6286, 543, 4808, 616, 3769, 547, 3313, 519, 3942, 2157, 269, 634, 4791, 2934, 543, 4191, 540, 5761, 2860, 616, 4330, 269, 5004, 543, 2126, 540, 715, 17092, 9448, 616, 13890, 4470, 593, 519, 3942, 267, 543, 2882, 519, 6268, 543, 2359, 540, 16143, 6375, 8839, 5829, 17422, 17219, 269, 634, 9074, 20147, 609, 2126, 3681, 585, 4587, 2550, 267, 829, 32050, 531, 2860, 4994, 630, 303, 5746, 1070, 14715, 3524, 601, 2801, 543, 23567, 540, 14662, 9448, 269, 0, 4407, 5988, 1522, 581, 2295, 3923, 267, 621, 779, 2760, 513, 3983, 942, 547, 2911, 827, 2295, 1072, 269, 3962, 1032, 811, 982, 476, 8517, 267, 1822, 1004, 5884, 540, 2295, 2068, 269, 2334, 779, 513, 2462, 1297, 267, 2523, 6236, 602, 1082, 540, 1346, 7972, 1223, 581, 14284, 609, 1279, 3856, 6197, 2242, 563, 2005, 779, 849, 1271, 547, 13599, 1004, 827, 519, 2038, 4191, 540, 2295, 2068, 547, 2327, 602, 1004, 917, 950, 547, 1205, 948, 585, 741, 2295, 2115, 269, 2755, 621, 779, 2653, 547, 2911, 827, 782, 519, 1919, 596, 1223, 798, 267, 1934, 616, 930, 1271, 3877, 585, 596, 547, 1451, 811, 827, 2295, 1072, 543, 875, 596, 666, 1374, 513, 2635, 6197, 602, 8992, 513, 2635, 2295, 563, 24464, 543, 6468, 15232, 9839, 31105, 12580, 7756, 569, 454, 1607, 568, 2565, 1344, 547, 1174, 269, 3509, 1004, 723, 2295, 6285, 543, 1810, 1406, 1256, 8275, 621, 1317, 789, 616, 3168, 585, 519, 4636, 2589, 269, 769, 2489, 267, 2367, 616, 811, 2693, 547, 1995, 6727, 1928, 610, 9636, 538, 741, 9221, 269, 1358, 949, 1205, 1928, 538, 835, 610, 1312, 540, 741, 7916, 269, 9093, 1522, 1265, 2933, 856, 540, 7362, 538, 3871, 602, 789, 7363, 666, 3362, 13236, 538, 269, 3958, 267, 789, 949, 723, 930, 546, 714, 5414, 28542, 267, 15353, 267, 543, 1761, 13481, 563, 18131, 593, 519, 824, 1688, 949, 1205, 1928, 538, 519, 5580, 17737, 267, 741, 10265, 267, 741, 8405, 267, 610, 1524, 835, 610, 1312, 540, 741, 7916, 269, 1358, 666, 849, 1995, 21994, 543, 13481, 1282, 513, 2295, 4323, 269, 6468, 949, 12161, 519, 4411, 17570, 602, 789, 1995, 607, 1776, 10835, 540, 22797, 3079, 540, 7487, 621, 607, 513, 1761, 2295, 4323, 9963, 269, 9093, 543, 2021, 609, 1114, 1634, 2295, 2175, 786, 2693, 581, 11311, 6527, 899, 590, 4973, 565, 670, 12710, 563, 19865, 568, 606, 12708, 3281, 9426, 585, 9839, 2657, 454, 10144, 609, 2635, 12271, 3635, 5781, 269, 901, 3085, 1406, 1611, 602, 596, 991, 547, 581, 513, 15547, 3731, 269, 898, 3274, 1797, 602, 596, 616, 9363, 3742, 2429, 519, 3018, 267, 2921, 1490, 7416, 15211, 267, 543, 6148, 1256, 4946, 538, 930, 4187, 2866, 269, 1411, 666, 1205, 782, 540, 713, 998, 3339, 2238, 543, 9205, 5026, 269, 4658, 2972, 17075, 267, 17281, 267, 543, 1256, 10977, 607, 851, 540, 741, 3635, 20786, 269, 1452, 5026, 543, 1082, 811, 948, 1832, 1004, 779, 9025, 1072, 538, 1283, 3337, 563, 2005, 779, 12830, 547, 16202, 513, 10791, 8899, 538, 769, 11987, 16639, 454, 763, 1909, 540, 6553, 543, 2295, 2068, 568, 1175, 1631, 1373, 4362, 543, 6594, 269, 4658, 609, 2295, 2068, 1419, 723, 2362, 2157, 540, 2949, 6553, 538, 741, 4703, 269, 2755, 972, 616, 6527, 547, 2569, 8650, 6553, 267, 5312, 6553, 568, 1732, 9619, 676, 4189, 3536, 602, 2569, 6553, 6923, 563, 5278, 540, 519, 1655, 3536, 547, 6175, 6553, 1331, 4946, 9761, 3165, 267, 4158, 3039, 21364, 5388, 267, 10808, 267, 543, 19146, 15606, 547, 707, 2732, 269, 6713, 539, 4006, 543, 8185, 9268, 9274, 616, 1851, 519, 1034, 12982, 3536, 596, 666, 3548, 269, 1635, 4227, 707, 6981, 540, 519, 3688, 602, 2333, 6553, 543, 4946, 538, 811, 3536, 547, 6175, 6553, 267, 596, 786, 2087, 707, 1072, 12508, 3648, 538, 602, 26750, 563, 299, 5922, 568, 6153, 9839, 6925, 454, 5970, 596, 2479, 11074, 547, 1589, 827, 875, 1390, 596, 5433, 1310, 513, 1434, 14902, 286, 1879, 596, 14902, 865, 2182, 596, 3956, 621, 666, 1118, 596, 1745, 899, 513, 2898, 1007, 1268, 269, 1306, 513, 1072, 4324, 267, 972, 568, 4986, 3833, 899, 17409, 269, 700, 2795, 532, 17160, 707, 1062, 609, 6126, 10399, 269, 898, 3123, 596, 547, 13236, 538, 811, 5135, 982, 8912, 269, 3958, 267, 513, 1434, 14902, 666, 5818, 707, 10009, 543, 8897, 4887, 8082, 269, 1879, 621, 2501, 547, 2295, 1072, 267, 2348, 6126, 10399, 543, 811, 5135, 14700, 707, 1062, 568, 6225, 269, 3502, 1152, 1281, 621, 5818, 707, 7099, 267, 855, 621, 3947, 707, 2295, 930, 8090, 540, 7772, 543, 8788, 602, 1118, 596, 1745, 1732, 689, 519, 3330, 856, 563, 10144, 5808, 3657, 10815, 853, 5962, 15232, 10815, 9839, 8376, 454, 29590, 568, 513, 2295, 20740, 269, 9093, 945, 616, 14129, 616, 1454, 811, 2693, 547, 1995, 513, 2295, 4323, 982, 1346, 945, 616, 711, 269, 13262, 5222, 519, 1259, 649, 3548, 267, 875, 649, 3180, 5196, 3063, 2597, 267, 543, 1256, 875, 2635, 938, 2295, 568, 269, 4658, 945, 616, 14129, 1419, 723, 2362, 1973, 2604, 799, 568, 2404, 609, 2295, 2068, 607, 1134, 269, 1403, 596, 1616, 547, 588, 1511, 1055, 2295, 2042, 267, 1451, 547, 4383, 707, 2566, 3927, 269, 901, 1522, 1611, 4259, 11735, 942, 585, 1582, 13282, 267, 3478, 513, 1447, 14053, 2816, 267, 543, 1256, 1818, 2386, 596, 6108, 942, 1472, 1004, 945, 8897, 707, 32370, 269, 21079, 707, 2566, 267, 543, 596, 3580, 2569, 693, 2547, 835, 540, 519, 1981, 2188, 585, 513, 2295, 4323, 269, 0, 15404, 5974, 4224, 269, 1358, 3142, 865, 1454, 7772, 547, 938, 2729, 609, 741, 8964, 269, 1809, 2575, 568, 513, 2603, 811, 3532, 950, 621, 779, 10978, 267, 543, 602, 666, 581, 513, 6217, 9651, 269, 634, 12372, 2933, 616, 693, 606, 1256, 3152, 8594, 540, 6217, 3441, 2094, 789, 616, 6534, 547, 10978, 2575, 5176, 1169, 1554, 563, 2026, 596, 1205, 4587, 267, 596, 3580, 1869, 1616, 547, 581, 2111, 547, 2972, 707, 5172, 8964, 2436, 596, 2461, 513, 22459, 610, 711, 269, 1280, 12372, 267, 7863, 741, 6217, 568, 519, 1883, 547, 606, 6905, 543, 3811, 4876, 269, 1280, 519, 1964, 540, 721, 267, 6217, 4027, 568, 519, 5728, 547, 513, 10715, 540, 7574, 20106, 543, 23918, 563, 15919, 621, 666, 581, 9670, 875, 10978, 2575, 666, 1205, 454, 2252, 596, 2307, 519, 5354, 540, 1004, 2436, 513, 15191, 2599, 568, 10978, 267, 789, 3580, 2693, 2161, 9811, 563, 3719, 1018, 827, 2575, 286, 1403, 596, 2307, 18825, 2436, 606, 17974, 13176, 610, 513, 19157, 30413, 568, 10978, 267, 789, 949, 711, 16253, 865, 3533, 269, 5994, 741, 9983, 950, 789, 3605, 519, 4641, 281, 602, 2575, 568, 8197, 10978, 256, 4634, 8106, 2575, 666, 3914, 5266, 10978, 12531, 602, 666, 3362, 2800, 707, 6217, 563, 288, 30413, 267, 585, 3236, 267, 666, 1711, 4992, 538, 4430, 540, 476, 3445, 28108, 269, 589, 6978, 9514, 518, 568, 1472, 713, 26776, 269, 1677, 2322, 602, 883, 2796, 267, 519, 3864, 5742, 6042, 27774, 602, 1022, 9036, 21514, 1457, 982, 476, 5952, 28108, 3340, 519, 946, 540, 1274, 4027, 563, 4517, 952, 596, 2461, 2324, 609, 2575, 1554, 538, 543, 1554, 856, 267, 6024, 4598, 547, 602, 2186, 540, 4320, 267, 3226, 1510, 1274, 4027, 267, 666, 16094, 2800, 707, 6217, 936, 942, 563, 4692, 596, 2149, 707, 10772, 689, 6846, 3441, 888, 302, 10798, 267, 12372, 945, 1616, 547, 2226, 741, 6217, 585, 1296, 547, 2097, 991, 547, 16102, 741, 10772, 269, 1924, 1018, 666, 12372, 798, 547, 2149, 741, 6217, 543, 1869, 2972, 519, 2575, 789, 2648, 865, 1454, 888, 2080, 616, 513, 7008, 540, 4388, 912, 268, 6875, 9397, 281, 6145, 1022, 851, 540, 707, 1560, 267, 707, 10772, 666, 1831, 13110, 543, 949, 991, 547, 1205, 513, 2370, 1964, 269, 1924, 1491, 2834, 9397, 689, 519, 6846, 269, 901, 786, 948, 2061, 707, 10772, 689, 3478, 16397, 609, 6846, 630, 663, 3441, 1040, 2060, 2543, 547, 6217, 267, 875, 1279, 596, 2461, 6534, 568, 3592, 607, 1713, 607, 875, 10978, 621, 568, 269, 634, 3017, 1063, 519, 4998, 2179, 540, 14242, 543, 1932, 1454, 666, 4096, 2390, 2921, 7928, 9397, 563, 268, 25397, 707, 4320, 281, 11310, 568, 1379, 267, 1318, 286, 1924, 6616, 4320, 2157, 540, 4992, 1472, 596, 786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 594, 786, 2161, 267, 898, 568, 1250, 1004, 281, 543, 789, 4927, 2161, 267, 634, 28789, 568, 1250, 2696, 1848, 1496, 313, 3663, 7559, 327, 476, 1724, 281, 280, 2639, 763, 28005, 517, 568, 711, 1152, 513, 1289, 585, 1208, 559, 2747, 267, 11755, 543, 17509, 607, 12493, 5497, 267, 855, 3244, 332, 976, 13489, 338, 519, 4961, 609, 606, 14849, 9029, 547, 15093, 538, 519, 3028, 593, 741, 2197, 563, 2108, 299, 5819, 1399, 568, 711, 6071, 32742, 282, 602, 568, 2648, 540, 2197, 267, 1318, 610, 4636, 282, 855, 14017, 568, 2648, 540, 2197, 2186, 1194, 883, 513, 17321, 16657, 676, 519, 2648, 540, 6240, 269, 898, 568, 519, 9997, 20387, 1657, 6071, 15754, 267, 883, 519, 5790, 540, 24123, 15093, 269, 5020, 568, 711, 1932, 10723, 585, 922, 5621, 1513, 543, 4986, 855, 10279, 1058, 1832, 1022, 689, 519, 2022, 540, 8594, 1848, 3097, 2005, 568, 7164, 952, 20182, 8865, 729, 538, 20343, 267, 855, 621, 1131, 723, 1044, 2009, 2094, 646, 1705, 711, 723, 547, 1867, 585, 10279, 609, 519, 476, 279, 628, 21086, 2394, 519, 1739, 1554, 693, 19134, 5112, 563, 1160, 17474, 476, 5952, 1107, 1160, 8010, 532, 513, 4303, 540, 2817, 9966, 559, 2747, 267, 27302, 267, 543, 674, 8463, 269, 14062, 12493, 267, 4864, 476, 1321, 267, 476, 5908, 272, 563, 10513, 6426, 267, 3751, 6276, 22564, 267, 476, 8182, 280, 563, 3776, 667, 14280, 538, 519, 19822, 281, 589, 5494, 6847, 5548, 9121, 593, 519, 12769, 5235, 540, 519, 2817, 16258, 269, 1323, 1133, 335, 21242, 590, 1069, 517, 676, 594, 577, 629, 617, 3244, 332, 976, 267, 5181, 476, 2918, 267, 476, 5908, 272, 269, 0, 763, 5692, 540, 20363, 8805, 568, 547, 13599, 918, 617, 328, 752, 779, 6107, 827, 519, 2067, 543, 2686, 1949, 602, 5581, 918, 617, 328, 752, 779, 11585, 543, 7668, 6267, 547, 8495, 741, 1378, 4296, 547, 713, 2027, 1747, 998, 3946, 6823, 1565, 267, 1582, 26190, 543, 1895, 6602, 563, 7712, 476, 1960, 277, 267, 918, 617, 328, 752, 2817, 13812, 25083, 267, 538, 14966, 609, 14522, 22127, 543, 519, 918, 617, 328, 752, 2146, 267, 814, 23032, 519, 918, 617, 328, 752, 14400, 3163, 543, 20363, 8805, 269, 10738, 1079, 1296, 540, 922, 27299, 267, 20363, 8805, 2968, 519, 4102, 2257, 2861, 3786, 538, 14522, 269, 769, 476, 1220, 273, 267, 519, 772, 2529, 269, 12551, 543, 13812, 6796, 6444, 20363, 8805, 607, 835, 540, 922, 1283, 2947, 2825, 2069, 3292, 538, 519, 4182, 269, 901, 3786, 5713, 1053, 689, 9656, 998, 476, 279, 628, 3446, 269, 634, 14886, 540, 14522, 2817, 13812, 4676, 1872, 525, 814, 6462, 519, 3786, 585, 1896, 1296, 267, 3246, 7616, 585, 3872, 2833, 563, 763, 3786, 14736, 539, 1055, 538, 2038, 4873, 609, 968, 293, 5109, 4303, 2223, 609, 476, 10219, 28752, 269, 16819, 570, 9448, 689, 31745, 4392, 729, 593, 1688, 609, 513, 2661, 6177, 17431, 267, 10023, 513, 5789, 4802, 543, 513, 533, 699, 326, 9068, 23881, 935, 269, 6744, 856, 930, 6337, 2630, 563, 263, 31688, 657, 676, 23436, 670, 6269, 270, 4785, 293, 16703, 994, 293, 12188, 21816, 17621, 6601, 24229, 26541, 2742, 1185, 519, 4316, 547, 960, 609, 6107, 267, 9675, 5234, 267, 543, 2146, 22242, 540, 11848, 22810, 267, 1282, 741, 5993, 3163, 543, 9177, 8805, 269, 8805, 717, 3019, 30795, 4512, 630, 26074, 968, 342, 529, 3256, 543, 1702, 892, 538, 717, 16049, 685, 514, 264, 3576, 1747, 538, 3735, 4864, 476, 1001, 277, 269, 774, 8812, 31655, 8151, 689, 9656, 998, 1000, 27097, 3446, 15548, 269, 634, 3163, 543, 9177, 8805, 2882, 6437, 538, 7262, 2257, 543, 2757, 8733, 1702, 267, 5916, 609, 11255, 543, 9205, 1565, 2833, 998, 23405, 543, 3946, 593, 2825, 2069, 2238, 269, 7991, 22242, 2671, 741, 7326, 827, 519, 2244, 543, 2831, 267, 1247, 25083, 5234, 2709, 4598, 547, 1007, 4066, 269, 2368, 3786, 3584, 543, 2238, 3769, 912, 268, 20353, 24022, 5017, 454, 268, 10960, 9477, 543, 5373, 454, 268, 13928, 521, 1194, 4070, 454, 268, 16164, 22927, 454, 268, 2961, 756, 537, 855, 7815, 532, 543, 4393, 454, 268, 9791, 9440, 16116, 454, 268, 7233, 8446, 454, 2414, 1451, 811, 827, 519, 8805, 267, 2638, 856, 713, 2376, 676, 5240, 3687, 518, 267, 538, 12876, 3316, 802, 269, 634, 14886, 540, 14522, 2817, 13812, 4676, 1872, 525, 3177, 7616, 585, 3781, 569, 2146, 7188, 2996, 543, 6601, 24229, 779, 2951, 269, 16840, 1222, 2501, 609, 519, 4960, 547, 21816, 17621, 269, 6744, 856, 938, 1699, 3255, 269, 0, 763, 21853, 3122, 7467, 568, 593, 519, 12406, 540, 519, 15636, 23307, 25052, 269, 898, 568, 1753, 547, 1896, 4241, 10070, 602, 786, 9029, 547, 8436, 5461, 538, 1686, 267, 1148, 610, 2257, 563, 303, 9007, 550, 24218, 693, 519, 9754, 1331, 17959, 281, 634, 7216, 9891, 3590, 269, 901, 14266, 2934, 4773, 540, 30563, 543, 14368, 2572, 602, 723, 15468, 547, 3047, 267, 930, 540, 799, 8593, 538, 8581, 563, 4322, 4773, 723, 5280, 3744, 547, 1174, 1454, 827, 875, 543, 950, 938, 3859, 1062, 729, 4646, 563, 5194, 8628, 14266, 568, 28635, 629, 583, 328, 281, 5020, 543, 12280, 538, 9147, 5527, 269, 901, 5654, 693, 3504, 12266, 2528, 543, 2934, 1082, 818, 974, 30440, 602, 941, 1031, 538, 1004, 779, 3232, 2729, 543, 849, 930, 3688, 5497, 547, 581, 3144, 609, 873, 883, 741, 1985, 1272, 269, 634, 14266, 568, 3710, 1472, 519, 1650, 540, 28635, 629, 583, 328, 267, 945, 729, 606, 3504, 12266, 4807, 563, 763, 29513, 543, 18623, 8858, 6212, 593, 8567, 538, 8581, 269, 898, 4422, 1394, 547, 950, 519, 4984, 1101, 6603, 8581, 543, 814, 4773, 6580, 689, 607, 2484, 1394, 607, 5084, 476, 6110, 563, 763, 3688, 2995, 519, 1650, 540, 519, 25655, 32042, 267, 519, 10120, 1296, 543, 519, 12900, 540, 519, 9721, 25267, 563, 2467, 616, 1082, 811, 8628, 24218, 543, 972, 616, 849, 1896, 10151, 10525, 593, 1397, 693, 782, 2053, 269, 1703, 616, 849, 1082, 2621, 2921, 1747, 693, 519, 9754, 2429, 519, 1032, 607, 1134, 607, 12909, 267, 15872, 267, 6030, 543, 11925, 563, 307, 712, 626, 18845, 538, 8581, 763, 2349, 541, 2284, 12942, 25362, 14255, 4425, 514, 928, 645, 684, 7806, 1399, 16836, 634, 8738, 1066, 2961, 4459, 8584, 7304, 27827, 681, 2100, 15167, 634, 1849, 14554, 540, 7720, 615, 15867, 27895, 18536, 667, 17532, 18686, 717, 7568, 880, 6816, 634, 27951, 781, 20531, 3118, 3794, 754, 531, 965, 634, 2871, 514, 1145, 15188, 5264, 10830, 540, 570, 4673, 20463, 540, 23703, 541, 2284, 1715, 326, 9792, 634, 13458, 15167, 23580, 540, 23715, 787, 8187, 9533, 10158, 454, 296, 16194, 4872, 289, 1409, 770, 595, 1251, 14216, 787, 25212, 8895, 3118, 7799, 15104, 4826, 5112, 454, 307, 24397, 4930, 307, 8692, 3849, 6665, 528, 781, 1283, 476, 1015, 18353, 538, 8581, 585, 476, 1001, 276, 5440, 9702, 18353, 538, 8581, 910, 607, 20366, 676, 519, 9721, 5440, 9702, 18353, 538, 8581, 910, 607, 20366, 676, 14666, 8581, 781, 19463, 6561, 3135, 634, 1034, 11509, 2749, 538, 8581, 26726, 21889, 538, 8581, 634, 1283, 4557, 9721, 17822, 7316, 1131, 9721, 1004, 1491, 18246, 14538, 286, 9669, 585, 1101, 942, 8436, 547, 8581, 1548, 711, 547, 798, 950, 9683, 8581, 8581, 781, 1283, 10723, 31145, 4609, 20640, 4128, 1946, 9721, 1435, 338, 616, 8581, 781, 1283, 18845, 1548, 798, 596, 899, 827, 8581, 286, 10871, 9721, 1435, 338, 1297, 835, 16007, 585, 14666, 12875, 1235, 6126, 609, 1412, 7407, 585, 2724, 262, 593, 11564, 547, 8581, 11473, 910, 11036, 547, 3895, 1412, 296, 516, 1633, 781, 9147, 5101, 262, 8581, 666, 30107, 519, 1655, 1412, 743, 858, 2070, 262, 538, 519, 1158, 4107, 10272, 15805, 18845, 538, 8581, 538, 476, 1001, 275, 286, 12752, 19230, 711, 547, 1412, 516, 701, 520, 519, 9073, 540, 519, 2250, 262, 25212, 1412, 325, 822, 712, 924, 5001, 2749, 262, 585, 1762, 2951, 6840, 6904, 15805, 18845, 538, 8581, 1500, 519, 700, 821, 569, 14136, 781, 10700, 3391, 286, 25212, 568, 835, 540, 519, 1158, 781, 1283, 1614, 4872, 2161, 700, 821, 569, 14136, 8581, 814, 1614, 540, 519, 1158, 781, 2185, 3659, 31586, 4872, 0, 1103, 519, 5736, 540, 14984, 4999, 1884, 790, 339, 22201, 12637, 18068, 267, 7486, 268, 272, 3968, 568, 513, 1521, 762, 5312, 2068, 1547, 634, 11667, 1272, 19104, 540, 7606, 10024, 1416, 609, 7486, 268, 272, 3968, 543, 1569, 547, 1884, 790, 339, 22201, 12637, 3797, 568, 476, 2190, 1700, 4375, 1296, 1496, 273, 267, 274, 4940, 11048, 267, 519, 7145, 540, 1884, 790, 339, 22201, 12637, 3797, 666, 581, 3908, 676, 3668, 540, 1569, 547, 3797, 267, 4057, 15984, 267, 22166, 267, 610, 1884, 790, 339, 22201, 12637, 4187, 269, 4014, 4187, 949, 581, 10299, 267, 1034, 4187, 14340, 632, 18051, 334, 1282, 10194, 18643, 269, 634, 11747, 3743, 585, 10194, 18643, 267, 7486, 268, 272, 9258, 13973, 848, 267, 568, 5470, 12155, 609, 1169, 2009, 1448, 15817, 538, 519, 7486, 268, 272, 11646, 9648, 476, 1015, 476, 1822, 1700, 1911, 476, 1822, 2053, 3232, 538, 15860, 2043, 1496, 275, 1700, 278, 14073, 5278, 13592, 24705, 4187, 547, 1884, 790, 339, 22201, 12637, 6527, 269, 1763, 9665, 8290, 3715, 513, 7123, 267, 1970, 4908, 2551, 855, 3552, 15178, 7486, 268, 272, 3788, 12880, 1317, 621, 3622, 18187, 919, 811, 7561, 1547, 7201, 1978, 6381, 267, 13592, 24705, 513, 6668, 5413, 269, 10684, 4187, 13592, 17297, 4733, 1282, 20060, 6269, 4809, 1884, 790, 339, 22201, 12637, 3797, 267, 799, 568, 2356, 519, 1267, 540, 16283, 3075, 4598, 1547, 1306, 4057, 15984, 568, 519, 2101, 24572, 540, 16283, 3075, 4598, 267, 1884, 790, 339, 22201, 12637, 15984, 568, 9691, 5532, 547, 519, 1646, 540, 1884, 790, 339, 22201, 12637, 4187, 563, 763, 4412, 3748, 585, 4187, 15320, 585, 1114, 3075, 5049, 543, 267, 538, 930, 2665, 267, 585, 1367, 6527, 1369, 513, 3075, 1362, 269, 1280, 1383, 267, 5821, 540, 1875, 5991, 16197, 657, 728, 9258, 13973, 848, 28166, 630, 13585, 305, 2316, 9984, 22372, 3355, 3797, 568, 4122, 2404, 609, 12242, 11665, 4187, 547, 715, 24520, 30454, 543, 7576, 657, 728, 1387, 4084, 9258, 13973, 848, 20127, 630, 24520, 30454, 264, 1547, 769, 4334, 267, 5821, 540, 5818, 539, 2926, 848, 28166, 2861, 3355, 3797, 568, 10355, 2404, 609, 2101, 2926, 848, 13592, 267, 1498, 9258, 13973, 848, 13592, 2049, 4122, 267, 3226, 547, 632, 20293, 1097, 339, 26593, 1387, 4084, 715, 305, 30454, 630, 324, 3052, 269, 22917, 643, 644, 710, 543, 900, 339, 878, 527, 629, 710, 264, 1547, 1452, 3075, 10391, 543, 1362, 10391, 3604, 666, 581, 6045, 998, 513, 2143, 1620, 540, 519, 7681, 1063, 15984, 543, 519, 1646, 540, 4187, 563, 763, 1292, 2188, 12018, 1362, 10391, 15984, 1700, 637, 2700, 3347, 1331, 1884, 790, 339, 22201, 12637, 1494, 1890, 267, 519, 8516, 540, 7486, 268, 272, 28429, 1884, 790, 339, 22201, 12637, 4187, 13592, 267, 543, 519, 4719, 11064, 547, 1884, 790, 339, 22201, 12637, 4187, 585, 1884, 790, 339, 22201, 12637, 8069, 269, 1284, 2253, 676, 10503, 519, 1198, 540, 891, 2188, 593, 15984, 1700, 637, 2700, 3347, 269, 3973, 267, 649, 4983, 519, 2963, 585, 519, 954, 30447, 1222, 540, 891, 2188, 1369, 1367, 3075, 5049, 269, 11374, 713, 267, 649, 1865, 519, 3498, 540, 2582, 11665, 15984, 1700, 637, 2700, 3347, 547, 17326, 2607, 1884, 790, 339, 22201, 12637, 3797, 269, 901, 4901, 2882, 1079, 3606, 2188, 602, 3310, 15984, 1700, 637, 2700, 3347, 281, 11186, 3075, 4598, 1282, 2126, 543, 519, 10305, 540, 519, 824, 3334, 540, 17326, 2607, 1884, 790, 339, 22201, 12637, 3797, 269, 7053, 267, 649, 2303, 2081, 538, 799, 713, 1344, 949, 3310, 4791, 2259, 563, 12901, 790, 339, 22201, 12637, 1494, 1890, 666, 581, 6059, 676, 519, 9386, 540, 519, 1101, 5123, 540, 10194, 9178, 1310, 22612, 540, 606, 1884, 790, 339, 22201, 12637, 8665, 1547, 4165, 790, 339, 22201, 12637, 20786, 1494, 1890, 666, 581, 3989, 607, 519, 10171, 602, 513, 2016, 1884, 790, 339, 22201, 12637, 20786, 786, 16401, 7486, 268, 272, 642, 790, 8926, 2630, 519, 7182, 540, 3044, 22368, 7020, 585, 12675, 5712, 540, 942, 269, 2311, 1360, 1970, 10194, 13907, 267, 3928, 540, 10194, 18643, 616, 5393, 1970, 543, 21883, 3644, 7361, 32338, 919, 689, 24353, 23854, 540, 7783, 2281, 1547, 769, 713, 4259, 267, 519, 4960, 602, 4187, 547, 513, 2582, 5057, 267, 610, 2789, 3334, 267, 540, 606, 1884, 790, 339, 22201, 12637 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 780, 306, 1399, 548, 10274, 267, 2436, 538, 19761, 610, 538, 3301, 1646, 267, 616, 795, 12127, 269, 1358, 3970, 5191, 540, 4082, 538, 5634, 3877, 267, 23679, 28068, 5876, 883, 811, 11327, 9055, 780, 8505, 558, 566, 568, 1390, 267, 855, 972, 779, 513, 3970, 547, 875, 1454, 649, 666, 25117, 938, 960, 269, 4658, 1419, 3343, 856, 513, 17874, 6109, 10502, 1317, 972, 779, 1945, 1875, 268, 20598, 827, 741, 1788, 1496, 272, 4940, 1703, 779, 811, 4316, 585, 795, 12127, 982, 12957, 267, 2523, 950, 15518, 908, 960, 269, 1403, 594, 1223, 4625, 25117, 513, 4305, 267, 972, 1131, 581, 1100, 991, 547, 15518, 622, 621, 269, 29179, 2576, 513, 795, 580, 2059, 609, 513, 4305, 4679, 519, 8458, 540, 519, 15518, 566, 1373, 3811, 780, 1012, 13565, 9708, 692, 314, 272, 316, 769, 1250, 3105, 4876, 267, 594, 2893, 998, 513, 6881, 676, 513, 5458, 17874, 2754, 602, 16219, 547, 1628, 3301, 4625, 9862, 547, 938, 2189, 2115, 267, 3301, 799, 789, 1185, 849, 3710, 585, 3875, 3105, 7218, 269, 901, 1131, 581, 1945, 789, 4076, 2760, 3710, 1354, 543, 1945, 789, 723, 3710, 1082, 2053, 1354, 269, 594, 1223, 4952, 513, 811, 13857, 6881, 602, 5587, 1881, 1018, 1131, 581, 1007, 543, 1018, 1131, 711, 581, 267, 855, 713, 6881, 729, 1025, 520, 14688, 30137, 543, 4625, 23387, 540, 519, 27171, 780, 258, 22417, 19000, 547, 9786, 6478, 692, 296, 1711, 5176, 782, 1250, 6054, 538, 19000, 267, 1256, 6054, 602, 1522, 581, 4443, 547, 1711, 538, 6478, 269, 634, 2601, 568, 602, 1256, 952, 513, 1880, 3561, 1131, 581, 4443, 547, 2328, 538, 6478, 267, 1250, 20104, 568, 811, 3608, 952, 3388, 568, 538, 19000, 269, 19000, 2306, 1507, 267, 10750, 1257, 6119, 602, 960, 1134, 609, 4528, 1852, 543, 10478, 267, 543, 594, 666, 12575, 873, 609, 519, 1482, 9375, 594, 946, 585, 1603, 3009, 543, 3388, 3116, 594, 798, 780, 29995, 594, 6494, 1224, 26209, 6054, 547, 7218, 269, 1358, 1810, 1406, 917, 610, 1416, 1018, 1982, 2813, 519, 7300, 594, 2366, 873, 269, 634, 1249, 602, 789, 3112, 12575, 1250, 5359, 568, 513, 4183, 267, 711, 513, 17079, 281, 952, 594, 6557, 2469, 547, 1129, 1055, 593, 1945, 267, 594, 991, 547, 581, 2386, 602, 621, 3085, 1406, 1331, 1022, 2242, 602, 2576, 3116, 1500, 602, 594, 6557, 23387, 540, 780, 3719, 12212, 594, 798, 991, 547, 6494, 7218, 513, 3758, 789, 666, 12575, 267, 543, 713, 2356, 1797, 9786, 6478, 269, 4521, 14636, 3226, 1616, 6478, 6054, 780, 2005, 779, 2009, 547, 1711, 513, 7300, 1210, 19000, 543, 5299, 7146, 1790, 4292, 519, 1543, 883, 513, 6478, 3561, 269, 901, 1568, 267, 855, 596, 3580, 723, 547, 2699, 334, 782, 707, 11249, 780, 288, 1732, 1935, 568, 547, 946, 17455, 665, 269, 634, 4971, 692, 319, 825, 5774, 665, 535, 5622, 269, 23753, 910, 334, 910, 338, 535, 5622, 6155, 665, 343, 26384, 15884, 6460, 519, 19000, 3758, 2387, 325, 5622, 269, 23753, 319, 2047, 547, 519, 6478, 3561, 2387, 325, 5622, 6155, 665, 343, 18269, 1411, 949, 723, 547, 5905, 909, 519, 6478, 3561, 513, 2370, 267, 855, 621, 786, 11677, 811, 540, 519, 3312, 11249, 982, 952, 596, 950, 689, 19000, 547, 6478, 3842, 7300, 780, 2791, 1223, 16833, 713, 538, 513, 7097, 585, 13418, 543, 865, 596, 1810, 1406, 723, 547, 3314, 519, 5774, 665, 16105, 780, 3499, 825, 1948, 24425, 9953, 15828, 5914, 24800, 270, 704, 331, 692, 15478, 23753, 815, 8096, 2752, 294, 309, 314, 271, 30092, 7268, 259, 25269, 815, 8096, 23753, 264, 815, 349, 521, 270, 315, 269, 23753, 15478, 28918, 25269, 343, 270, 3248, 1410, 1815, 834, 335, 663, 665, 8096, 23753, 910, 334, 8096, 25269, 257, 3248, 7884, 2791, 1223, 4688, 713, 547, 2387, 23753, 273, 25269, 319, 543, 2196, 692, 319, 825, 751, 343, 273, 25269, 535, 5622, 269, 23753, 26384, 1729, 3132, 2387, 325, 5622, 6155, 665, 343, 27471, 10000, 11845, 281, 634, 16105, 950, 594, 5206, 713, 2022, 1705, 711, 960, 950, 594, 20460, 1243, 713, 2221, 630, 1708, 274, 268, 1556, 268, 1789, 264, 855, 3079, 5795, 1896, 21855, 269, 1109, 1548, 5249, 2221, 729, 692, 319, 825, 5774, 665, 535, 5622, 269, 23753, 4534, 5228, 3735, 343, 4534, 1729, 2703, 343, 3436, 535, 5622, 6155, 665, 343, 26384, 19013, 594, 1810, 1406, 723, 519, 4528, 1297, 602, 594, 1031, 950, 594, 1101, 5206, 713, 2022, 269, 4653, 594, 729, 1210, 5774, 665, 4528, 476, 273, 269, 280, 269, 273, 269, 272, 780, 258, 6271, 1966, 609, 589, 20324, 4152, 281, 5872, 2360, 692, 763, 3105, 2022, 6743, 693, 513, 19433, 609, 589, 20324, 4152, 281, 707, 3803, 1267, 949, 4096, 8185, 593, 519, 1931, 540, 707, 4255, 269, 901, 2022, 5654, 693, 1776, 1966, 609, 589, 20324, 4152, 281, 519, 17418, 547, 1265, 5872, 2360, 780, 22428, 596, 2461, 3181, 908, 1063, 8380, 513, 8666, 540, 513, 1286, 610, 513, 14903, 593, 707, 3896, 267, 543, 596, 2461, 3181, 908, 1063, 2436, 519, 6174, 1058, 581, 2699, 610, 4544, 269, 1411, 6430, 547, 946, 589, 20324, 4152, 267, 865, 596, 1449, 2436, 5561, 4782, 513, 2699, 14903, 610, 513, 4544, 14903, 269, 1358, 4782, 519, 4544, 14903, 269, 3973, 596, 1449, 2436, 5561, 4782, 513, 4544, 14903, 610, 513, 4544, 1286, 269, 1358, 4782, 519, 4544, 14903, 780, 28646, 5561, 1131, 4782, 513, 2699, 1286, 1655, 540, 782, 267, 855, 596, 4769, 1406, 1449, 602, 4781, 269, 1635, 4152, 6174, 1826, 543, 2681, 14384, 267, 596, 4769, 1406, 1451, 827, 519, 5872, 540, 6174, 1826, 543, 2681, 269, 1306, 12448, 717, 601, 2006, 543, 26391, 10830, 2322, 621, 1496, 272, 3910, 692, 11328, 13905, 666, 581, 1271, 269, 769, 2259, 267, 11378, 602, 723, 1804, 1292, 2360, 849, 4043, 547, 723, 1804, 4205, 609, 824, 11378, 269, 630, 4913, 267, 1507, 1292, 2360, 798, 711, 840, 2850, 519, 7872, 540, 1804, 4205, 24355, 30860, 602, 3732, 2450, 568, 711, 519, 3390, 269, 14597, 596, 7318, 519, 2699, 14903, 1996, 519, 4544, 14903, 609, 476, 1911, 271, 3755, 543, 1336, 602, 476, 6434, 269, 273, 260, 9053, 519, 4544, 14903, 269, 1411, 666, 581, 3833, 8746, 602, 3755, 4782, 519, 4544, 14903, 547, 519, 2699, 14903, 269, 14597, 596, 849, 1031, 476, 1911, 271, 3755, 547, 1449, 519, 4544, 14903, 1996, 519, 4544, 1286, 543, 713, 942, 476, 10463, 269, 276, 260, 9053, 519, 4544, 14903, 269, 11088, 596, 666, 581, 8746, 538, 707, 2164, 269, 1809, 596, 8959, 547, 1451, 1945, 602, 596, 1522, 723, 4121, 952, 596, 8910, 8237, 476, 1911, 3755, 1063, 2185, 3681, 281, 2699, 14903, 267, 4544, 14903, 267, 2699, 1286, 267, 4544, 1286, 780, 1012, 15331, 2450, 692, 1607, 568, 606, 1383, 540, 513, 27353, 1374, 267, 4152, 782, 10659, 540, 519, 2188, 3238, 269, 5517, 3645, 6272, 3100, 791, 24411, 1317, 519, 1297, 540, 10659, 666, 1332, 1360, 3533, 607, 519, 1297, 540, 2188, 4679, 269, 1809, 952, 621, 779, 711, 4052, 547, 1449, 782, 10659, 540, 476, 1015, 2188, 267, 585, 1383, 267, 602, 3085, 1406, 1611, 602, 621, 779, 791, 24411, 547, 1449, 782, 10659, 540, 1079, 2188, 267, 607, 538, 519, 1383, 1657, 269, 898, 568, 1419, 4052, 547, 946, 513, 2407, 27353, 1374, 585, 513, 9793, 1297, 540, 2188, 267, 543, 547, 946, 513, 27847, 27353, 1374, 609, 811, 2188, 780, 2252, 596, 1152, 1449, 835, 3815, 693, 513, 942, 267, 596, 2461, 25919, 602, 5872, 2360, 1810, 1406, 2339, 269, 9320, 596, 2461, 1318, 267, 543, 596, 666, 11126, 707, 1374, 676, 17306, 1142, 4756, 14384, 269, 1809, 952, 596, 2461, 4636, 267, 596, 4465, 1406, 917, 780, 1012, 3397, 1006, 692, 763, 5413, 540, 589, 20324, 4255, 568, 602, 789, 666, 1419, 581, 2944, 6385, 269, 9791, 610, 2699, 286, 9791, 269, 2961, 610, 14903, 286, 22427, 1188, 269, 667, 821, 269, 3767, 1577, 779, 1449, 1945, 3116, 780, 2252, 519, 1152, 3681, 941, 1063, 513, 4028, 19588, 540, 4255, 540, 835, 3815, 693, 513, 942, 610, 835, 2462, 267, 7294, 8579, 1449, 540, 3388, 267, 3432, 1522, 3094, 269, 1809, 972, 779, 1776, 7872, 281, 513, 4028, 19588, 540, 5594, 811, 10427, 4255, 780, 22428, 596, 723, 476, 280, 2188, 602, 596, 2461, 5461, 538, 267, 543, 596, 1174, 2406, 1810, 1406, 1616, 547, 1449, 1896, 556, 4124, 540, 476, 3066, 815, 476, 24423, 7399, 269, 1411, 1522, 1376, 856, 609, 513, 630, 325, 3555, 531, 264, 27353, 1374, 540, 476, 276, 540, 519, 2188, 269, 17166, 602, 1152, 835, 540, 891, 2188, 4667, 547, 1118, 1454, 3017, 267, 1100, 2339, 1018, 596, 6292, 621, 609, 269, 8921, 596, 798, 1776, 4603, 4152, 476, 276, 2188, 693, 513, 942, 267, 519, 16771, 540, 519, 1101, 4603, 543, 519, 476, 275, 2188, 596, 10093, 1406, 7318, 2943, 269, 901, 13071, 596, 798, 1079, 1507, 6901, 2864, 982, 835, 2462, 835, 780, 9616, 602, 538, 713, 1383, 596, 2461, 14322, 602, 519, 2188, 602, 4769, 1406, 2339, 538, 519, 1101, 4603, 9327, 1406, 723, 1271, 4205, 609, 519, 2188, 538, 519, 2034, 4603, 269, 1656, 707, 13429, 1522, 581, 4636, 269, 1809, 596, 2461, 1818, 606, 13473, 7058, 267, 1759, 593, 1239, 689, 519, 1101, 4603, 269, 901, 568, 1447, 982, 4998, 267, 855, 621, 779, 1732, 982, 519, 4244, 540, 4152, 1169, 3815, 835, 693, 513, 942, 267, 14322, 602, 1100, 4205, 2339, 269, 32114, 602, 930, 4205, 1810, 1406, 2339, 267, 1759, 593, 1239, 267, 568, 1732, 982, 1818, 513, 24120, 13429, 602, 1100, 4205, 2339, 267, 1759, 593, 1100, 1239, 780, 14818, 532, 811, 982, 835, 3815, 693, 513, 942, 666, 581, 3608, 585, 9584, 607, 1134, 607, 585, 4466, 4205, 269, 898, 666, 948, 596, 7522, 538, 593, 519, 4632, 596, 991, 547, 1449, 811, 8499, 780, 1012, 13565, 9708, 692, 314, 272, 316, 12448, 717, 601, 2006, 543, 26391, 10830, 269, 4578, 5811, 4635, 22953, 543, 5564, 850, 767, 26260, 1512, 1105, 673, 17738, 269, 11062, 2160, 4964, 267, 476, 1220, 278, 780, 258, 589, 20324, 4152, 543, 513, 13359, 19433, 692, 3080, 1966, 609, 589, 20324, 4152, 568, 602, 707, 2164, 949, 4096, 593, 519, 1931, 540, 707, 4255, 780, 22428, 596, 2461, 4152, 1614, 3681, 281, 2473, 267, 962, 267, 543, 2098, 269, 2913, 779, 2161, 596, 723, 1614, 2344, 12415, 267, 3160, 538, 2450, 267, 1142, 609, 519, 1739, 7375, 780, 306, 1122, 618, 476, 272, 281, 2473, 3436, 962, 3436, 2098, 780, 306, 1122, 618, 476, 273, 281, 962, 3436, 2098, 311, 780, 306, 1122, 618, 476, 274, 281, 2098, 3436, 2473, 3436, 962, 780, 3086, 15475, 596, 1449, 2473, 1996, 962, 538, 606, 589, 20324, 1449, 267, 1287, 1449, 519, 16771, 1996, 2098, 269, 21540, 906, 476, 272, 543, 476, 274, 4782, 2473, 547, 962, 267, 865, 2473, 17993, 519, 1101, 5180, 540, 4152, 269, 3767, 596, 5635, 2473, 547, 2098, 269, 21540, 906, 476, 273, 543, 476, 274, 4782, 2098, 547, 2473, 267, 865, 2098, 17993, 5180, 476, 273, 543, 568, 519, 2949, 16771, 780, 3086, 1577, 779, 2196, 519, 4255, 1586, 538, 513, 1114, 1931, 269, 3689, 649, 1449, 962, 1996, 2098, 269, 21540, 906, 476, 272, 543, 476, 273, 786, 979, 585, 962, 269, 3973, 538, 519, 1985, 5180, 267, 962, 1996, 2473, 267, 12415, 476, 272, 543, 476, 274, 4782, 2473, 267, 865, 2473, 568, 519, 2949, 16771, 269, 1924, 835, 1259, 540, 4881, 519, 4255, 2164, 538, 2098, 10888, 267, 543, 1776, 1259, 2164, 538, 2473, 10888, 780, 4692, 649, 6582, 938, 4255, 865, 602, 962, 17993, 286, 8786, 267, 676, 4152, 2473, 1996, 2098, 1101, 269, 2098, 17993, 519, 1101, 5180, 267, 543, 962, 17993, 538, 519, 2034, 5180, 780, 763, 3597, 540, 519, 1966, 568, 602, 1895, 7375, 616, 711, 1098, 1438, 269, 1284, 2161, 602, 7375, 616, 1098, 1438, 952, 950, 2576, 27422, 513, 547, 536, 267, 543, 789, 4782, 536, 547, 524, 267, 1287, 789, 4782, 513, 547, 524, 269, 1284, 17697, 569, 10924, 602, 1142, 10126, 814, 1098, 1438, 7375, 269, 1280, 1383, 267, 950, 649, 1767, 602, 519, 1101, 10126, 779, 7375, 616, 2473, 3436, 962, 3436, 2098, 267, 649, 5921, 602, 789, 1131, 7584, 2473, 3436, 962, 267, 1109, 962, 3436, 2098, 267, 543, 2473, 3436, 2098, 780, 31714, 630, 10090, 958, 264, 723, 1098, 1438, 7375, 267, 855, 2516, 949, 711, 269, 769, 519, 1383, 1657, 267, 519, 2344, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 5493, 25716, 2187, 825, 5727, 9577, 547, 13861, 5532, 1592, 692, 1038, 30352, 912, 2018, 642, 1023, 281, 1592, 540, 9981, 454, 3546, 1628, 5532, 1592, 856, 540, 891, 9981, 454, 2018, 533, 281, 6715, 518, 454, 3546, 952, 513, 533, 1871, 568, 5293, 267, 621, 786, 2196, 519, 15652, 1599, 454, 2018, 5493, 281, 29491, 454, 3546, 1403, 5493, 267, 1449, 952, 21912, 1592, 568, 513, 5493, 30308, 454, 825, 8173, 825, 26993, 815, 21912, 8266, 4590, 825, 585, 1130, 538, 642, 1023, 912, 1038, 26993, 27044, 318, 20041, 318, 961, 263, 1998, 2020, 825, 1820, 2891, 299, 22075, 5903, 585, 4704, 281, 5602, 825, 26993, 31428, 318, 961, 10797, 825, 952, 533, 912, 1038, 26993, 269, 4820, 819, 9638, 994, 1038, 1820, 2891, 4820, 819, 539, 281, 5602, 1038, 26993, 31428, 318, 961, 10797, 825, 952, 5493, 912, 1038, 2132, 26993, 4877, 531, 30308, 10797, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 6129, 4455, 476, 2918, 476, 736, 281, 1240, 281, 2764, 476, 1708, 271, 692, 287, 10461, 281, 562, 747, 15614, 454, 12163, 3698, 1100, 3725, 10293, 8245, 1637, 16325, 307, 7434, 338, 2187, 825, 23288, 825, 681, 12584, 1003, 307, 7434, 338, 8062, 540, 513, 22757, 30408, 11191, 454, 825, 540, 5373, 476, 274, 11084, 856, 540, 513, 19943, 5627, 454, 825, 476, 274, 2699, 543, 476, 274, 3039, 11084, 269, 645, 8712, 616, 711, 8719, 2899, 454, 825, 6537, 269, 16849, 519, 513, 8918, 910, 519, 6824, 540, 2053, 476, 274, 3097, 825, 11084, 540, 519, 1482, 2681, 941, 6537, 563, 825, 23288, 825, 1003, 12148, 815, 476, 271, 454, 825, 585, 1003, 538, 2039, 16325, 307, 7434, 338, 2187, 1038, 952, 835, 307, 7434, 10031, 2018, 1003, 12148, 6834, 476, 272, 454, 825, 2132, 10581, 16325, 12148, 270, 11133, 307, 7434, 338, 2020, 3698, 835, 307, 7434, 10031, 825, 1104, 4351, 454, 825, 19943, 815, 18358, 337, 3299, 1412, 337, 3299, 1412, 337, 3299, 1412, 326, 3299, 1412, 326, 3299, 1412, 326, 23300, 825, 6074, 289, 8712, 815, 11713, 825, 585, 1775, 538, 2039, 263, 274, 2187, 1038, 3903, 815, 4351, 26716, 4069, 6357, 3089, 564, 994, 1038, 6074, 289, 8712, 6910, 263, 577, 4069, 994, 1038, 19943, 31927, 263, 577, 4069, 994, 825, 952, 6074, 289, 8712, 314, 271, 316, 2652, 6074, 289, 8712, 314, 272, 316, 543, 6074, 289, 8712, 314, 272, 316, 2652, 6074, 289, 8712, 314, 273, 14158, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 22562, 2745, 3799, 334, 3725, 10293, 8245, 1637, 263, 1911, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 1419, 1031, 547, 3277, 547, 513, 1507, 6300, 610, 1630, 1054, 269, 769, 1977, 2296, 267, 2705, 267, 968, 32697, 892, 568, 519, 811, 1455, 2165, 585, 713, 1826, 540, 10661, 563, 273, 269, 12745, 783, 26402, 454, 5194, 9868, 547, 519, 3652, 585, 1210, 588, 718, 543, 4558, 568, 13865, 6165, 269, 6884, 267, 519, 3903, 1063, 519, 1079, 1913, 5673, 593, 519, 1808, 2796, 538, 799, 789, 616, 1373, 1031, 269, 1280, 1383, 912, 268, 1403, 596, 616, 6158, 827, 513, 1747, 1141, 2831, 616, 6854, 267, 519, 2262, 968, 560, 718, 892, 568, 519, 811, 3617, 3903, 563, 268, 1403, 596, 616, 6158, 827, 513, 1747, 1141, 5370, 616, 4421, 267, 519, 2262, 968, 32697, 892, 568, 519, 811, 3617, 3903, 563, 268, 1403, 596, 616, 6158, 827, 513, 1747, 1141, 6517, 616, 6288, 539, 267, 2901, 2262, 1223, 581, 1031, 267, 855, 968, 560, 718, 892, 568, 811, 4122, 1031, 538, 3703, 2296, 563, 274, 269, 594, 10972, 11703, 25285, 454, 7661, 267, 972, 616, 930, 18986, 11703, 7215, 1141, 519, 3652, 585, 1210, 588, 718, 543, 4558, 1522, 711, 4019, 269, 769, 891, 2665, 267, 519, 3903, 1063, 519, 1079, 1913, 568, 1759, 593, 519, 1808, 4082, 1373, 1031, 269, 1280, 1383, 912, 347, 1805, 718, 585, 942, 1475, 2414, 8488, 610, 22876, 2858, 3729, 1475, 1805, 718, 2008, 347, 1805, 648, 909, 8373, 1475, 2414, 2014, 2042, 585, 13951, 538, 519, 2104, 1475, 1805, 648, 2008, 2005, 568, 1271, 547, 1832, 538, 2247, 602, 891, 17756, 547, 519, 3652, 616, 711, 2141, 2182, 543, 3728, 269, 769, 930, 2665, 267, 2901, 2262, 1223, 581, 1031, 1510, 4929, 10539, 610, 3765, 24483, 269, 1717, 267, 676, 1620, 891, 17756, 267, 596, 666, 946, 519, 1913, 968, 560, 718, 892, 543, 968, 32697, 892, 609, 3152, 8856, 543, 9355, 563, 3086, 602, 596, 723, 513, 1732, 1620, 540, 519, 3604, 1063, 588, 718, 543, 4558, 267, 621, 779, 942, 547, 2322, 707, 1702, 883, 2259, 269, 12989, 616, 930, 5751, 547, 948, 596, 2087, 707, 6165, 540, 891, 1079, 1913, 538, 5220, 563, 19865, 476, 272, 281, 19130, 769, 634, 2349, 1678, 454, 16521, 519, 2953, 2262, 630, 560, 718, 610, 4558, 264, 547, 6445, 538, 519, 10145, 538, 1142, 540, 519, 1739, 5220, 912, 268, 634, 16027, 8952, 1010, 9640, 538, 513, 13322, 1029, 563, 268, 2701, 4956, 547, 13322, 1029, 1200, 2025, 9660, 538, 519, 1140, 545, 563, 268, 634, 29449, 1305, 909, 1010, 13322, 1029, 693, 519, 2199, 4023, 563, 268, 1261, 2141, 13322, 1029, 1010, 1286, 538, 519, 25880, 563, 268, 634, 7376, 10519, 539, 513, 13322, 1029, 547, 4159, 1200, 10367, 563, 19865, 476, 273, 281, 13038, 14893, 454, 16521, 519, 2953, 2262, 630, 560, 718, 610, 4558, 264, 547, 2347, 1142, 540, 519, 1739, 5220, 912, 268, 634, 16027, 8952, 1010, 16933, 538, 513, 912, 268, 513, 264, 588, 718, 454, 268, 536, 264, 4558, 454, 268, 513, 264, 588, 718, 454, 268, 536, 264, 4558, 454, 268, 513, 264, 588, 718, 454, 268, 536, 264, 4558, 454, 268, 513, 264, 588, 718, 454, 268, 536, 264, 4558, 454, 268, 513, 264, 588, 718, 454, 268, 536, 264, 4558, 454, 268, 513, 264, 588, 718, 454, 268, 536, 264, 4558, 454, 268, 513, 264, 588, 718, 454, 268, 536, 264, 4558, 454, 268, 536, 264, 4558, 454, 5475, 3695, 519, 3604, 1063, 519, 1913, 968, 560, 718, 892, 543, 968, 32697, 2223, 621, 568, 2312, 602, 789, 616, 711, 20049, 762, 269, 2755, 1312, 1913, 3277, 547, 513, 1747, 1141, 5370, 666, 581, 6854, 610, 4421, 267, 968, 560, 718, 892, 3335, 4016, 547, 513, 1507, 267, 10151, 2497, 1247, 968, 32697, 892, 4016, 547, 513, 8628, 267, 3677, 2497, 563, 2005, 568, 1271, 547, 946, 519, 2953, 2262, 538, 519, 3617, 2796, 547, 2057, 10539, 543, 3765, 23890, 269, 901, 568, 2523, 1271, 538, 2854, 2792, 267, 1141, 519, 5467, 3112, 7048, 593, 3159, 610, 1560, 1893, 547, 12172, 2495, 563, 268, 968, 1805, 718, 892, 4016, 547, 513, 1507, 267, 10151, 2497, 1247, 968, 32697, 892, 4016, 547, 513, 8628, 267, 3677, 2497, 563, 268, 4635, 519, 2953, 2262, 538, 519, 3617, 2796, 568, 1271, 547, 2057, 10539, 543, 3765, 23890, 563, 268, 898, 568, 2523, 1271, 547, 946, 519, 2953, 2262, 538, 2854, 2792, 563, 3528, 11173, 547, 1451, 827, 8239, 543, 1893, 946, 267, 3988, 666, 2087, 741, 2792, 1983, 543, 2057, 1455, 9073, 563, 4537, 11921, 2494, 320, 615, 568, 519, 13653, 543, 16628, 540, 634, 12474, 16958, 269, 1261, 779, 835, 851, 1543, 9614, 267, 835, 851, 1603, 562, 514, 10937, 28013, 267, 543, 1079, 2694, 6205, 540, 1283, 1543, 15888, 269, 1411, 1810, 1406, 1256, 1616, 547, 917, 1018, 646, 7125, 3443, 31817, 269, 0, 289, 13633, 4524, 630, 845, 28861, 1634, 607, 812, 545, 4965, 264, 666, 1860, 4896, 269, 15907, 476, 272, 538, 1169, 476, 1911, 4079, 723, 17299, 4524, 269, 898, 666, 2049, 693, 1022, 2085, 267, 4352, 621, 1419, 10953, 1063, 519, 6502, 540, 476, 1428, 543, 476, 866, 269, 4658, 609, 17299, 4524, 723, 5712, 540, 4965, 543, 812, 807, 269, 9210, 529, 3941, 540, 4965, 666, 1397, 2589, 899, 4743, 1360, 1970, 543, 29723, 1173, 545, 267, 3006, 3665, 543, 609, 2618, 2670, 269, 769, 4334, 267, 14501, 540, 812, 807, 666, 1267, 538, 4743, 1360, 1164, 543, 936, 5562, 269, 1280, 1383, 267, 812, 807, 949, 1459, 607, 19326, 899, 936, 4944, 2056, 2724, 543, 12008, 2370, 269, 1703, 568, 849, 513, 1447, 4049, 812, 807, 267, 1634, 607, 3834, 2674, 807, 269, 12580, 666, 4096, 593, 799, 7099, 596, 2461, 7680, 269, 9521, 2241, 7099, 23638, 267, 1142, 3665, 12558, 666, 2063, 585, 1896, 4374, 630, 528, 1256, 3476, 1070, 543, 930, 1004, 949, 711, 1995, 513, 7123, 7099, 1360, 1419, 269, 634, 4806, 540, 7099, 23638, 9775, 4922, 1063, 1004, 269, 1280, 1383, 267, 930, 1004, 786, 1152, 723, 513, 19625, 540, 17299, 14501, 538, 741, 10715, 543, 616, 7123, 538, 1063, 1247, 1866, 949, 723, 1082, 14501, 267, 8506, 6413, 13978, 543, 1279, 2165, 17867, 1416, 269, 2311, 634, 661, 2314, 267, 649, 723, 11285, 9439, 4810, 538, 4543, 1004, 609, 17299, 4524, 563, 763, 2262, 17299, 814, 1079, 2694, 2048, 6798, 8730, 2495, 2048, 18314, 685, 543, 2048, 335, 6897, 685, 2495, 2048, 14814, 454, 641, 22683, 9957, 634, 2165, 17299, 4016, 547, 519, 1259, 707, 7099, 666, 1689, 1063, 1079, 1360, 454, 18528, 5166, 2829, 1107, 812, 807, 543, 4965, 269, 769, 519, 2250, 267, 1004, 1031, 547, 3277, 547, 17299, 454, 4134, 4650, 607, 812, 545, 4965, 269, 1411, 1522, 1869, 5873, 1004, 946, 713, 4587, 2165, 2221, 563, 2252, 596, 723, 606, 12558, 540, 4965, 596, 1058, 581, 6035, 6646, 543, 513, 1164, 454, 842, 3748, 6158, 3797, 971, 607, 5042, 24040, 3797, 630, 30274, 264, 610, 14375, 454, 1492, 2805, 630, 7474, 6212, 593, 596, 543, 707, 3347, 609, 824, 1004, 994, 2005, 568, 865, 1271, 547, 2911, 267, 547, 707, 13309, 267, 547, 1920, 543, 5924, 513, 1489, 1895, 269, 1411, 666, 849, 454, 16753, 547, 4383, 707, 2589, 676, 3168, 1310, 3054, 269, 8682, 3249, 721, 875, 596, 1491, 1416, 454, 1993, 707, 2732, 267, 3207, 267, 3635, 267, 3232, 6296, 267, 3347, 543, 875, 596, 616, 4743, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12893, 280, 454, 20578, 518, 8039, 538, 2698, 454, 9834, 14999, 14483, 9547, 2557, 454, 273, 3817, 454, 30182, 1957, 3259, 454, 5325, 14999, 20578, 619, 5219, 676, 513, 3659, 0, 258, 10318, 514, 520, 540, 513, 1552, 748, 5119, 2496, 1892, 4682, 344, 454, 1103, 5758, 267, 519, 6643, 11828, 519, 9819, 540, 519, 24572, 610, 11201, 5119, 540, 513, 6024, 5119, 1210, 1483, 2338, 607, 4737, 543, 6241, 17523, 269, 1323, 1383, 568, 2016, 609, 513, 16803, 1014, 538, 11610, 6041, 267, 799, 568, 606, 12808, 21021, 5119, 269, 898, 568, 5018, 602, 952, 519, 5119, 2609, 616, 1483, 267, 519, 5119, 568, 21136, 543, 666, 581, 15497, 1242, 1210, 606, 26667, 5119, 269, 634, 24572, 666, 1287, 581, 7229, 1210, 519, 10250, 543, 2067, 30233, 540, 519, 15497, 1242, 5119, 269, 634, 6643, 7475, 609, 513, 2243, 593, 875, 547, 1265, 519, 14802, 10321, 952, 1152, 519, 5119, 2609, 616, 1634, 563, 342, 4868, 454, 23005, 514, 520, 540, 513, 834, 11666, 748, 257, 5119, 2496, 320, 3287, 11971, 264, 568, 513, 5119, 3693, 2073, 663, 1535, 11971, 568, 519, 4737, 543, 6241, 4994, 563, 2252, 1535, 11971, 616, 1483, 2338, 267, 875, 547, 5173, 519, 15002, 520, 540, 713, 5119, 610, 519, 11201, 5119, 2496, 2304, 1383, 540, 713, 2186, 540, 5119, 568, 2999, 330, 347, 295, 347, 330, 262, 285, 267, 320, 16803, 1014, 538, 11610, 6041, 780, 8310, 12995, 912, 3383, 621, 781, 606, 12808, 21021, 5119, 13718, 2252, 519, 5119, 2609, 4399, 1002, 346, 295, 13925, 330, 267, 330, 262, 13157, 24097, 30848, 737, 24689, 1002, 346, 295, 348, 347, 330, 262, 1422, 26917, 259, 616, 1483, 267, 6533, 713, 5119, 568, 21136, 7868, 333, 579, 666, 1265, 606, 26667, 5119, 799, 1131, 15497, 1125, 519, 554, 15071, 1014, 5119, 780, 10190, 692, 11377, 30956, 13375, 7268, 1002, 346, 295, 13925, 330, 267, 330, 262, 14990, 2431, 6661, 10339, 1422, 1422, 3847, 6025, 15869, 1422, 23692, 1422, 1002, 346, 295, 8703, 10972, 698, 13925, 330, 267, 330, 262, 4153, 2431, 264, 9681, 25405, 1408, 780, 1372, 343, 614, 857, 984, 344, 1767, 912, 3383, 621, 781, 606, 12808, 21021, 5119, 13718, 2252, 519, 5119, 2609, 4399, 1002, 346, 295, 13925, 330, 267, 330, 262, 13157, 24097, 30848, 737, 24689, 1002, 346, 295, 348, 347, 330, 262, 1422, 26917, 259, 616, 1483, 267, 6533, 713, 5119, 568, 21136, 7868, 333, 579, 666, 1265, 606, 26667, 5119, 799, 1131, 15497, 1125, 519, 554, 15071, 1014, 5119, 780, 10190, 692, 11377, 30956, 13375, 7268, 1002, 346, 295, 13925, 330, 267, 330, 262, 14990, 2431, 6661, 10339, 1422, 1422, 3847, 6025, 15869, 1422, 23692, 1422, 1002, 346, 295, 8703, 10972, 698, 13925, 330, 267, 330, 262, 4153, 2431, 264, 9681, 25405, 1408, 780, 763, 1966, 568, 875, 547, 1265, 713, 26667, 5119, 16638, 8723, 2013, 267, 1729, 1265, 713, 5119, 649, 1058, 4194, 606, 3830, 799, 2115, 547, 917, 519, 24572, 540, 519, 2016, 5119, 7868, 333, 519, 2243, 3788, 780, 8310, 12995, 912, 1692, 827, 579, 3406, 585, 513, 4493, 630, 320, 1007, 1305, 540, 737, 1115, 1269, 347, 330, 315, 26917, 259, 264, 1500, 909, 540, 14802, 10321, 630, 514, 2489, 2631, 32586, 8552, 538, 6024, 264, 540, 519, 16803, 1014, 25467, 1287, 3388, 1131, 581, 14831, 3585, 2241, 1862, 2496, 25405, 1408, 780, 1372, 343, 614, 857, 984, 344, 1767, 912, 1692, 827, 579, 3406, 585, 513, 4493, 630, 320, 1007, 1305, 540, 737, 1115, 1269, 347, 330, 315, 26917, 259, 264, 1500, 909, 540, 14802, 10321, 630, 514, 2489, 2631, 32586, 8552, 538, 6024, 264, 540, 519, 16803, 1014, 25467, 1287, 3388, 1131, 581, 14831, 3585, 2241, 1862, 2496, 25405, 1408, 780, 3719, 952, 1018, 596, 1152, 917, 568, 513, 9217, 25814, 1070, 6518, 3884, 781, 519, 5119, 2609, 540, 519, 16803, 1014, 267, 6011, 798, 596, 1265, 519, 14802, 10321, 2496, 1012, 476, 272, 269, 1548, 568, 513, 6024, 5119, 2496, 288, 6024, 5119, 568, 513, 6310, 6041, 540, 513, 1305, 540, 6024, 1239, 269, 898, 568, 513, 14328, 5044, 540, 2338, 602, 666, 581, 1031, 547, 5659, 543, 13861, 6024, 3252, 780, 1012, 476, 273, 269, 1215, 568, 519, 24572, 540, 513, 6024, 5119, 7229, 2496, 763, 24572, 540, 513, 6024, 5119, 568, 7229, 676, 1210, 513, 6310, 4542, 602, 3322, 519, 2609, 540, 519, 5119, 269, 634, 4542, 568, 1114, 585, 1114, 21092, 14290, 267, 855, 621, 6038, 3322, 14921, 543, 4946, 519, 2609, 538, 513, 1808, 4806, 780, 1012, 476, 274, 269, 1548, 568, 519, 4644, 540, 519, 24572, 540, 513, 6024, 5119, 2496, 763, 24572, 540, 513, 6024, 5119, 568, 513, 2268, 540, 875, 519, 5119, 21810, 2230, 269, 898, 666, 581, 1031, 547, 3313, 2436, 513, 5119, 814, 606, 11201, 267, 543, 621, 849, 814, 3156, 538, 6061, 1949, 540, 5276, 4834, 543, 4466, 27744, 543, 14802, 27523, 780, 1012, 476, 275, 269, 2052, 519, 24572, 540, 513, 6024, 5119, 581, 2942, 2496, 8133, 267, 519, 24572, 540, 513, 6024, 5119, 666, 581, 2942, 269, 634, 1129, 540, 519, 24572, 5673, 593, 519, 11460, 540, 519, 2609, 538, 519, 5119, 267, 543, 621, 666, 581, 2318, 267, 2942, 267, 610, 4642, 780, 1012, 476, 276, 269, 1215, 568, 519, 24572, 540, 513, 6024, 5119, 1031, 538, 1483, 8996, 3156, 2496, 763, 24572, 540, 513, 6024, 5119, 814, 1082, 1483, 8996, 3156, 267, 971, 607, 538, 2780, 12449, 267, 6323, 267, 9297, 267, 543, 4702, 269, 898, 568, 1031, 547, 5659, 543, 13861, 1239, 538, 513, 3099, 540, 4610, 267, 543, 621, 666, 1683, 3407, 4030, 543, 3435, 547, 1950, 2042, 780, 1892, 12430, 543, 17593, 10789, 454, 28806, 454, 1321, 454, 21366, 454, 272, 298, 454, 1892, 12430, 543, 17593, 10789, 454, 28806, 454, 1428, 454, 21366, 454, 275, 298, 454, 1892, 12430, 543, 17593, 10789, 454, 28806, 454, 275, 454, 21366, 454, 272, 298, 454, 1892, 12430, 543, 17593, 10789, 454, 28806, 454, 280, 454, 21366, 454, 8660, 273, 454, 1892, 12430, 543, 17593, 10789, 454, 28806, 454, 272, 454, 21366, 454, 26764, 454, 1892, 12430, 543, 17593, 10789, 454, 28806, 454, 274, 454, 21366, 454, 272, 298, 454, 1892, 12430, 543, 17593, 10789, 454, 28806, 454, 278, 454, 21366, 454, 279, 2767, 454, 1892, 12430, 543, 17593, 10789, 454, 28806, 454, 1321, 454, 21366, 454, 274, 298, 454, 1892, 12430, 543, 17593, 10789, 454, 28806, 454, 273, 454, 21366, 454, 278, 1556, 454, 1892, 12430, 543, 17593, 10789, 454, 28806, 454, 279, 454, 21366, 454, 279, 3583, 0, 258, 9484, 9653, 692, 272, 269, 2913, 1269, 306, 318, 272, 267, 590, 318, 273, 259, 616, 6806, 23756, 5036, 971, 602, 281, 1269, 306, 318, 272, 1422, 5115, 590, 318, 273, 815, 1422, 341, 7568, 5847, 10608, 1772, 621, 3020, 602, 1269, 260, 1269, 454, 273, 269, 4855, 513, 19459, 5409, 30350, 1063, 1269, 306, 318, 272, 259, 543, 1269, 306, 318, 273, 259, 1384, 274, 269, 4855, 513, 5885, 5409, 30350, 585, 513, 1305, 540, 1269, 306, 815, 1422, 3847, 28381, 1535, 1422, 514, 1422, 13992, 23334, 11892, 273, 1422, 13232, 552, 3867, 343, 318, 272, 348, 1422, 548, 1535, 318, 273, 9368, 315, 4151, 693, 519, 10465, 1448, 1269, 343, 318, 271, 815, 630, 271, 269, 272, 7751, 454, 275, 269, 4855, 513, 5885, 5409, 30350, 585, 519, 1305, 540, 1269, 306, 815, 1422, 3847, 28381, 1535, 1422, 514, 1422, 13992, 23334, 11892, 274, 1422, 13232, 1535, 318, 274, 1422, 613, 1535, 318, 272, 317, 273, 1341, 1535, 318, 273, 317, 273, 9368, 315, 4151, 971, 602, 24508, 621, 689, 519, 1448, 1269, 343, 318, 271, 815, 1422, 3847, 8987, 315, 2765, 346, 276, 2410, 275, 9574, 1422, 2765, 346, 276, 2410, 1626, 9574, 1422, 2765, 346, 1428, 2410, 1626, 4153, 2431, 7751, 454, 276, 269, 2843, 509, 23485, 8563, 29391, 4138, 16021, 10780, 23485, 9261, 21268, 18194, 8563, 7846, 17153, 11012, 4344, 4814, 22147, 3378, 267, 14359, 3378, 14359, 3264, 11012, 4138, 23783, 21170, 16068, 4344, 9686, 3264, 20434, 9261, 9924, 17153, 20413, 4709, 5284, 370, 3264, 13150, 8563, 269, 2843, 498, 8563, 7846, 17153, 16068, 4344, 9686, 3264, 20434, 9261, 9924, 17153, 267, 14359, 3378, 14359, 3264, 11012, 29652, 13150, 8563, 12811, 21170, 16068, 4344, 9686, 3264, 20434, 9261, 9924, 17153, 20413, 4709, 5284, 370, 3264, 13150, 8563, 563, 277, 269, 16503, 3433, 519, 3017, 1063, 519, 8126, 11230, 5409, 30350, 543, 519, 19459, 5409, 30350, 676, 6236, 513, 23756, 1305, 609, 513, 1875, 1606, 15879, 1054, 10465, 563, 278, 269, 14216, 633, 519, 3830, 540, 519, 5885, 5409, 30350, 540, 519, 1305, 540, 4399, 346, 1535, 1422, 514, 1422, 13992, 23334, 11892, 274, 1422, 13232, 1422, 13320, 12757, 318, 272, 317, 273, 2410, 275, 348, 1341, 1422, 13320, 12757, 318, 273, 317, 273, 2410, 280, 348, 1341, 1422, 13320, 12757, 318, 274, 317, 273, 2410, 1839, 348, 1422, 548, 476, 272, 1422, 4151, 693, 1269, 8987, 277, 270, 276, 267, 476, 1321, 270, 276, 267, 476, 271, 1070, 630, 271, 267, 476, 280, 270, 276, 267, 476, 275, 1070, 630, 277, 270, 276, 267, 476, 271, 267, 910, 275, 7751, 630, 1415, 3903, 994, 279, 269, 14216, 633, 519, 3830, 540, 519, 5885, 5409, 30350, 540, 519, 1305, 540, 4399, 346, 1535, 1422, 514, 1422, 13992, 23334, 11892, 274, 1422, 13232, 1535, 318, 274, 1422, 613, 1535, 318, 272, 317, 273, 1341, 1535, 318, 273, 317, 273, 1422, 20954, 799, 24508, 621, 689, 519, 2798, 18159, 276, 270, 275, 267, 476, 276, 270, 1626, 267, 476, 1428, 270, 1626, 1070, 630, 275, 270, 274, 267, 476, 273, 270, 274, 267, 476, 1724, 270, 1321, 1070, 630, 1556, 270, 280, 267, 476, 1556, 270, 2767, 267, 476, 272, 7751, 630, 1415, 3903, 994, 280, 269, 4855, 513, 19459, 5409, 30350, 1063, 1269, 306, 318, 272, 259, 543, 1269, 306, 318, 273, 259, 1384, 1015, 269, 4855, 513, 5885, 5409, 30350, 585, 513, 1305, 1269, 306, 815, 1422, 3847, 28381, 1535, 1422, 514, 1422, 13992, 23334, 11892, 274, 1422, 13232, 1422, 2765, 12757, 318, 272, 317, 273, 2410, 275, 23180, 2765, 12757, 318, 273, 317, 273, 2410, 279, 23180, 2765, 12757, 318, 274, 317, 273, 2410, 1839, 348, 1422, 548, 476, 272, 1422, 2431, 315, 4151, 693, 519, 8473, 1448, 1269, 343, 318, 271, 815, 1422, 3847, 8987, 272, 267, 1422, 2765, 346, 1321, 2410, 276, 9574, 1422, 2765, 3189, 6912, 346, 274, 12453, 273, 4153, 2431, 7751, 0, 258, 22105, 3022, 5999, 692, 26524, 5473, 16789, 29398, 267, 3989, 607, 519, 3970, 540, 513, 17386, 7533, 607, 606, 1439, 4812, 540, 519, 8884, 540, 5610, 4485, 2901, 513, 9138, 1483, 1297, 610, 3980, 508, 610, 6567, 31236, 267, 610, 607, 1312, 1439, 9557, 1935, 7182, 780, 2004, 5784, 692, 2162, 20593, 10885, 540, 519, 7533, 4399, 842, 318, 271, 23373, 13727, 1422, 2765, 3189, 15238, 317, 274, 263, 272, 21147, 3867, 272, 270, 275, 16585, 2410, 343, 3867, 272, 270, 276, 15396, 343, 317, 273, 4153, 12101, 541, 551, 534, 3287, 9385, 282, 11459, 6911, 1692, 547, 6961, 602, 713, 7533, 568, 4780, 7217, 286, 6695, 842, 318, 271, 23373, 13727, 1422, 2765, 3189, 15238, 317, 274, 263, 272, 21147, 3867, 272, 270, 275, 16585, 2410, 343, 3867, 272, 270, 276, 15396, 343, 317, 273, 4153, 12101, 541, 551, 534, 3287, 9385, 282, 11459, 2330, 594, 723, 513, 2370, 1995, 609, 713, 2186, 540, 1966, 267, 594, 917, 649, 1058, 4194, 519, 4429, 8618, 5784, 692, 2162, 1548, 547, 917, 827, 19427, 540, 29398, 692, 6097, 547, 519, 2418, 540, 533, 285, 271, 4983, 519, 19427, 540, 519, 7533, 281, 6695, 842, 318, 271, 3867, 10954, 13727, 348, 1422, 13320, 3189, 15238, 263, 272, 266, 273, 343, 3867, 274, 335, 16585, 2410, 263, 343, 21147, 317, 273, 22722, 275, 335, 4153, 541, 551, 534, 3287, 22722, 272, 270, 273, 3686, 11459, 2330, 594, 4769, 1405, 1265, 513, 1434, 7778, 827, 713, 2186, 540, 4429, 4037, 5784, 692, 2162, 5610, 540, 4399, 842, 3709, 272, 23685, 13727, 7684, 1422, 12101, 3847, 7268, 2765, 346, 273, 343, 3867, 273, 15396, 321, 343, 20728, 346, 266, 348, 320, 2410, 343, 263, 273, 343, 266, 320, 14587, 910, 272, 9368, 264, 22773, 15848, 284, 272, 6911, 328, 991, 948, 585, 713, 1966, 282, 4855, 2418, 540, 513, 543, 536, 6695, 842, 3709, 272, 23685, 13727, 348, 1422, 3847, 263, 1422, 2765, 346, 273, 343, 3867, 273, 15396, 321, 343, 266, 320, 2410, 343, 263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 269, 8073, 513, 4356, 540, 8026, 3232, 454, 2171, 4076, 782, 4862, 519, 605, 14620, 281, 968, 20797, 2306, 3501, 2223, 543, 607, 13110, 607, 649, 616, 689, 6217, 621, 267, 621, 779, 3020, 269, 1403, 596, 1616, 547, 3533, 1451, 547, 1224, 6656, 2575, 267, 581, 5423, 547, 6108, 811, 942, 8236, 707, 3804, 563, 4913, 267, 596, 9090, 1616, 547, 2057, 3478, 25794, 689, 8026, 1932, 1454, 2094, 621, 3217, 519, 1187, 856, 540, 4730, 519, 14440, 563, 3383, 519, 3070, 568, 547, 2259, 585, 519, 1482, 2179, 540, 942, 3232, 269, 634, 8561, 568, 593, 519, 968, 22336, 1485, 892, 1317, 1373, 5812, 568, 1883, 269, 898, 779, 1454, 1732, 547, 2259, 476, 1015, 268, 1428, 3764, 1169, 1554, 2864, 982, 2259, 585, 476, 273, 3108, 835, 1554, 543, 1287, 1810, 1406, 2259, 585, 519, 1964, 540, 519, 3018, 563, 3383, 1376, 676, 8026, 585, 476, 1015, 3764, 3232, 547, 1628, 513, 4356, 269, 4495, 596, 2461, 6899, 267, 29424, 909, 519, 2259, 942, 547, 476, 736, 267, 1287, 476, 1789, 3764, 269, 16828, 267, 596, 666, 2259, 585, 476, 272, 5662, 1510, 10213, 3054, 547, 798, 621, 563, 303, 847, 6005, 3232, 849, 2306, 596, 1745, 811, 24009, 607, 596, 4076, 12913, 1945, 1169, 1554, 269, 594, 849, 899, 547, 2259, 14440, 1101, 3364, 538, 519, 6640, 547, 723, 942, 538, 519, 12784, 543, 10543, 547, 798, 824, 1919, 563, 2026, 621, 7140, 856, 267, 8026, 543, 1565, 14440, 538, 519, 6640, 568, 1732, 982, 693, 824, 2053, 269, 6744, 856, 713, 2376, 634, 7454, 5384, 4438, 634, 4303, 547, 6657, 623, 10730, 267, 585, 811, 1344, 563, 274, 269, 2422, 15361, 547, 3314, 4967, 593, 519, 5234, 454, 2026, 513, 19444, 267, 621, 779, 2352, 547, 3314, 519, 2012, 540, 519, 4967, 593, 519, 3515, 540, 519, 5234, 269, 2334, 779, 1946, 972, 616, 15361, 596, 666, 946, 547, 3314, 873, 3362, 563, 2690, 519, 1726, 1076, 1579, 325, 630, 1941, 4442, 4484, 717, 2187, 8855, 519, 4967, 593, 519, 3515, 1210, 713, 27099, 281, 5272, 6153, 15196, 2677, 12883, 8342, 454, 8855, 519, 4967, 538, 519, 5624, 1063, 519, 3515, 609, 713, 281, 674, 19781, 454, 2690, 519, 18369, 1579, 325, 912, 8855, 519, 4967, 593, 519, 3515, 1210, 713, 27099, 281, 6153, 27258, 2677, 2925, 8342, 11408, 454, 8855, 519, 4967, 538, 519, 5624, 1063, 519, 3515, 609, 713, 281, 2353, 595, 3298, 16202, 23420, 454, 8196, 891, 22214, 344, 916, 547, 3533, 2697, 1022, 4967, 593, 519, 1579, 12028, 1510, 16439, 4967, 835, 676, 835, 689, 1647, 595, 563, 275, 269, 17166, 856, 10978, 519, 4967, 607, 596, 2259, 454, 4407, 519, 22214, 344, 916, 616, 5363, 267, 596, 1058, 1205, 547, 513, 1448, 1141, 596, 666, 2697, 1022, 4967, 1256, 1510, 1210, 519, 22214, 344, 916, 269, 1411, 3580, 581, 2111, 547, 1451, 1007, 4773, 1256, 5488, 713, 1259, 563, 3080, 9133, 594, 666, 2285, 596, 568, 950, 596, 616, 4730, 519, 2110, 15102, 538, 519, 2835, 267, 2161, 519, 4967, 856, 10978, 607, 596, 1404, 873, 269, 1635, 6031, 519, 4967, 856, 10978, 267, 596, 786, 27655, 519, 4967, 1732, 563, 2005, 786, 581, 26101, 693, 519, 1376, 547, 2161, 519, 4967, 16965, 607, 596, 1404, 267, 855, 952, 596, 1616, 547, 3533, 1451, 547, 1224, 6656, 2575, 267, 713, 568, 519, 1259, 547, 979, 563, 276, 269, 16505, 519, 6656, 2575, 1524, 883, 4130, 4773, 454, 2691, 8026, 519, 5751, 538, 519, 1433, 267, 952, 596, 1265, 621, 4101, 547, 1451, 519, 2898, 3364, 693, 2899, 267, 8237, 621, 883, 4130, 4773, 543, 2259, 1142, 3079, 563, 3383, 3079, 540, 1565, 519, 2898, 3364, 538, 835, 979, 267, 2119, 8026, 1079, 13063, 1142, 543, 1205, 6899, 4730, 873, 267, 1287, 1847, 593, 547, 519, 1985, 1079, 13063, 269, 901, 4640, 267, 1572, 7941, 543, 20630, 267, 786, 1118, 1565, 1022, 1007, 4773, 4443, 543, 18334, 563, 9827, 267, 952, 596, 2461, 2348, 8373, 4730, 609, 1312, 3946, 8195, 267, 2259, 1142, 1688, 630, 663, 1142, 1579, 325, 9935, 264, 14384, 269, 4495, 596, 2461, 6899, 267, 9192, 873, 543, 1404, 609, 1312, 3946, 563, 16360, 517, 639, 9133, 264, 7591, 2407, 4773, 547, 2259, 1018, 596, 4076, 4121, 454, 5629, 596, 4076, 8854, 998, 519, 2835, 543, 3893, 519, 9238, 1524, 267, 621, 779, 942, 547, 4019, 1018, 596, 4076, 4121, 676, 4730, 2407, 27480, 4773, 269, 634, 1655, 1259, 547, 3314, 519, 1114, 7574, 711, 725, 568, 676, 1210, 873, 267, 1310, 782, 563, 296, 4363, 1565, 8106, 2575, 585, 1018, 547, 1404, 1317, 621, 568, 1732, 585, 2679, 707, 14440, 2553, 563, 10673, 1406, 2119, 547, 1451, 2182, 4773, 1256, 952, 789, 2461, 707, 29202, 693, 1101, 269, 898, 779, 1732, 547, 1376, 609, 4443, 4773, 1354, 3001, 593, 547, 9875, 4773, 2094, 596, 786, 1628, 707, 1983, 811, 7561, 602, 1259, 269, 6744, 856, 713, 2376, 585, 1946, 621, 779, 1454, 1732, 547, 1451, 4443, 4773, 811, 14018, 547, 707, 1377, 982, 547, 1451, 2182, 4773, 563, 1692, 1279, 1281, 621, 1491, 547, 4001, 3054, 547, 1224, 6656, 2575, 888, 3086, 602, 596, 917, 875, 547, 4001, 3054, 547, 1224, 2575, 267, 723, 596, 9289, 875, 1279, 621, 786, 1491, 888, 763, 2110, 2626, 568, 621, 3217, 689, 513, 1906, 4374, 547, 513, 1906, 3275, 267, 4470, 593, 875, 1454, 596, 2259, 543, 824, 2188, 269, 1677, 1174, 1141, 594, 1205, 713, 1297, 689, 543, 519, 2188, 602, 3313, 875, 3533, 596, 1451, 547, 1224, 2575, 267, 2638, 856, 713, 2376, 594, 5206, 1215, 7043, 6496, 898, 6875, 547, 6258, 547, 3367, 8535, 286, 0, 7804, 2098, 4141, 13879, 11828, 1471, 30844, 3170, 593, 901, 27450, 454, 2171, 946, 707, 1129, 5346, 547, 1683, 1543, 538, 2081, 596, 4076, 931, 5034, 547, 543, 547, 2087, 938, 1620, 540, 596, 269, 901, 949, 1331, 740, 591, 1206, 689, 721, 543, 476, 274, 6113, 6105, 1759, 593, 938, 1620, 269, 1411, 666, 5667, 889, 18285, 693, 1022, 942, 269, 2859, 9623, 454, 14106, 30844, 3170, 568, 30443, 6362, 2620, 3330, 707, 17987, 267, 4478, 930, 540, 707, 4105, 8219, 267, 971, 607, 519, 6797, 543, 18558, 269, 901, 26240, 5652, 4087, 2306, 519, 9761, 6219, 513, 7296, 7784, 1107, 621, 666, 9594, 3978, 1072, 2042, 267, 8151, 689, 2295, 2068, 547, 3987, 269, 18641, 267, 2241, 8192, 17408, 6545, 1223, 581, 2500, 693, 8781, 621, 563, 15371, 596, 1118, 11877, 323, 965, 689, 15072, 610, 3274, 4444, 513, 3043, 30000, 3138, 2378, 689, 519, 6300, 267, 3694, 568, 513, 20013, 540, 1169, 10051, 563, 13510, 9005, 538, 1585, 267, 5546, 267, 7306, 543, 7657, 2293, 267, 3694, 568, 513, 11684, 2943, 10464, 1426, 602, 666, 5838, 707, 14254, 267, 12899, 610, 16152, 538, 7643, 563, 4913, 267, 513, 1353, 267, 3370, 538, 519, 4760, 7233, 16639, 585, 5274, 12594, 267, 2306, 513, 2178, 2013, 585, 7446, 835, 1808, 2186, 936, 1866, 563, 763, 1382, 2319, 1336, 602, 2898, 326, 1778, 10568, 3694, 729, 2111, 547, 968, 338, 20138, 14688, 892, 2569, 2157, 540, 1471, 30844, 3170, 538, 968, 933, 4060, 9731, 3918, 4696, 27749, 281, 2048, 296, 1185, 4642, 1981, 2188, 585, 15108, 2860, 685, 281, 19716, 5734, 676, 519, 2783, 8843, 2048, 14140, 685, 1129, 454, 4407, 4189, 3694, 585, 2539, 2157, 540, 17987, 3170, 1522, 3280, 1932, 1434, 547, 581, 3020, 267, 519, 4351, 2213, 5595, 15918, 785, 21897, 22306, 6304, 1353, 5342, 593, 476, 2004, 5545, 5396, 9863, 6382, 563, 763, 3173, 1305, 856, 547, 8495, 519, 2360, 540, 1114, 2010, 540, 3694, 593, 1471, 30844, 3170, 6724, 563, 763, 1353, 5171, 941, 14477, 8655, 2901, 2898, 326, 1778, 10568, 3694, 610, 15568, 10568, 3694, 585, 476, 1321, 4374, 563, 763, 2319, 6394, 1973, 5439, 543, 5342, 17223, 29821, 630, 6311, 264, 18767, 1169, 3670, 4374, 547, 6895, 519, 5171, 563, 1432, 1705, 519, 1353, 1265, 888, 5475, 476, 1321, 4374, 267, 519, 2898, 326, 1778, 10568, 3694, 1895, 4718, 741, 1471, 30844, 3170, 2157, 22485, 267, 6466, 519, 15568, 3694, 1895, 4769, 1406, 28231, 1022, 1713, 2640, 563, 2108, 4322, 942, 17466, 2242, 941, 3648, 1114, 1063, 519, 2516, 2223, 519, 3173, 4050, 2740, 563, 1103, 1249, 267, 519, 2898, 326, 1778, 1895, 4951, 513, 6175, 540, 2185, 1298, 22015, 637, 538, 741, 1471, 30844, 3170, 1858, 563, 763, 2319, 11943, 281, 968, 2662, 1961, 326, 1778, 10568, 3694, 2732, 949, 3565, 547, 7303, 1471, 30844, 3170, 8377, 3034, 3918, 4696, 27749, 281, 2494, 8995, 609, 2860, 3275, 1310, 9561, 7649, 547, 2068, 454, 4407, 713, 568, 1152, 835, 1353, 602, 3769, 513, 1507, 3732, 540, 5171, 267, 519, 20249, 1336, 538, 2898, 326, 1778, 3694, 814, 1044, 5892, 9976, 585, 922, 2597, 2000, 1601, 2640, 563, 306, 20107, 20249, 2337, 547, 10110, 1216, 543, 1106, 513, 15074, 602, 2337, 3500, 1524, 1426, 607, 621, 10596, 998, 707, 9667, 1062, 563, 29804, 1633, 543, 4446, 21884, 6941, 602, 713, 2337, 596, 1745, 2407, 518, 585, 3476, 267, 865, 596, 1439, 909, 4189, 1447, 543, 711, 15165, 532, 23494, 563, 13010, 267, 20249, 3884, 1406, 1152, 8659, 1369, 519, 2185, 2267, 7370, 540, 3694, 267, 607, 5613, 267, 5388, 267, 5452, 543, 2898, 6588, 1231, 616, 782, 1490, 21148, 609, 621, 563, 1692, 547, 2995, 952, 596, 723, 1471, 30844, 3170, 454, 2026, 1471, 30844, 3170, 568, 6456, 2620, 3330, 707, 6084, 3240, 267, 596, 4465, 1406, 581, 2111, 547, 5544, 621, 609, 519, 21736, 3750, 563, 4913, 267, 835, 1129, 799, 1223, 5815, 519, 27521, 568, 707, 22765, 18592, 563, 2690, 2021, 267, 519, 1981, 540, 519, 9761, 27521, 568, 2799, 952, 519, 22765, 18592, 568, 476, 3199, 1298, 22015, 637, 610, 811, 543, 585, 2367, 476, 11463, 1298, 22015, 637, 610, 811, 267, 2687, 547, 2657, 29715, 563, 763, 1434, 3377, 568, 602, 596, 666, 16826, 1471, 30844, 856, 676, 513, 3099, 540, 8192, 17408, 6545, 543, 5751, 267, 1519, 2220, 6260, 707, 979, 3562, 3694, 585, 513, 2898, 326, 1778, 4244, 563, 13126, 281, 3367, 9509, 9137, 0, 293, 27961, 12902, 814, 1831, 513, 2442, 2259, 1851, 8516, 12439, 543, 9845, 269, 898, 3322, 519, 946, 540, 513, 17371, 16945, 547, 18552, 543, 4019, 2604, 547, 6091, 543, 2571, 8031, 269, 2290, 540, 519, 3119, 2640, 540, 17371, 12902, 568, 602, 621, 666, 948, 2087, 519, 1072, 540, 707, 3673, 807, 269, 26812, 807, 568, 519, 24561, 5160, 602, 27788, 543, 7028, 707, 6091, 267, 8219, 267, 543, 7633, 269, 898, 4249, 513, 2629, 1909, 538, 4180, 602, 707, 1560, 3252, 5265, 269, 1717, 267, 950, 707, 3673, 807, 6238, 547, 2736, 1524, 610, 1831, 968, 8527, 1084, 2223, 621, 666, 1291, 547, 513, 2039, 540, 2152, 269, 769, 713, 2376, 267, 649, 786, 2263, 875, 547, 2995, 952, 707, 3673, 807, 568, 4232, 1084, 543, 1018, 596, 666, 798, 547, 2087, 922, 1072, 563, 1432, 568, 26812, 807, 888, 293, 2444, 807, 568, 513, 1826, 540, 24561, 5160, 602, 6818, 2429, 707, 1560, 269, 898, 568, 513, 6094, 267, 9157, 267, 543, 8465, 4494, 602, 27788, 543, 7028, 6091, 267, 7633, 267, 8219, 267, 543, 13285, 269, 26812, 807, 568, 1500, 909, 540, 20018, 543, 824, 5946, 267, 543, 922, 3119, 1599, 568, 547, 1683, 7293, 1489, 543, 4027, 269, 898, 849, 2337, 547, 2226, 519, 3337, 543, 1599, 540, 707, 1560, 779, 8031, 563, 1692, 547, 15681, 952, 2659, 26812, 807, 568, 681, 13516, 454, 7312, 3673, 807, 666, 1831, 968, 8527, 1084, 892, 610, 14432, 1813, 547, 513, 2039, 540, 2188, 269, 2368, 540, 519, 1034, 1455, 3123, 540, 4232, 1084, 3673, 807, 1331, 4057, 14302, 267, 936, 2224, 7063, 267, 543, 6553, 269, 3371, 616, 930, 4191, 602, 707, 3673, 807, 949, 581, 538, 4057, 1072, 912, 347, 29819, 540, 681, 13516, 26812, 807, 2008, 347, 32247, 1928, 610, 20765, 538, 519, 6091, 610, 10549, 2008, 347, 11795, 22187, 3001, 610, 7900, 1978, 5322, 2008, 347, 13434, 584, 2590, 7063, 610, 562, 698, 3101, 1928, 602, 4465, 1406, 979, 2476, 2008, 347, 5719, 920, 1078, 2039, 540, 5163, 610, 8112, 2008, 347, 2171, 752, 1145, 610, 16132, 538, 519, 6091, 610, 10549, 2008, 347, 14106, 1043, 25418, 610, 14398, 687, 538, 519, 6091, 2008, 2252, 596, 616, 7680, 1022, 540, 891, 2589, 267, 621, 949, 581, 513, 1129, 602, 707, 3673, 807, 568, 14432, 543, 538, 991, 540, 3007, 563, 1692, 674, 27961, 17029, 1782 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 5291, 2517, 342, 777, 326, 342, 3820, 270, 7758, 894, 268, 19587, 270, 7758, 894, 268, 19587, 30087, 3491, 21793, 21703, 634, 2600, 540, 5470, 568, 1336, 676, 14921, 519, 3448, 5470, 676, 476, 1911, 10065, 594, 991, 547, 1039, 8100, 267, 811, 6101, 3283, 982, 606, 2626, 593, 2243, 269, 634, 8856, 540, 513, 7893, 6293, 568, 5462, 676, 519, 10545, 1770, 547, 799, 621, 666, 2268, 269, 28731, 18438, 11061, 692, 2237, 606, 9137, 476, 14631, 1699, 2146, 5816, 10004, 9119, 9119, 26426, 707, 2950, 6178, 909, 610, 2845, 538, 547, 21160, 707, 1592, 269, 769, 10750, 2296, 281, 634, 6207, 5470, 568, 519, 3017, 1063, 519, 6027, 1871, 543, 519, 4890, 1871, 269, 630, 763, 6207, 5470, 786, 723, 519, 1482, 1770, 6003, 607, 519, 6027, 7274, 4700, 28731, 950, 7893, 649, 1810, 1405, 917, 519, 4890, 1871, 256, 1357, 15062, 634, 3448, 5470, 540, 519, 23479, 610, 1587, 540, 513, 1297, 540, 9424, 568, 1447, 982, 610, 3160, 547, 519, 2040, 540, 741, 3448, 6959, 780, 3467, 10518, 5385, 2950, 2754, 5816, 29571, 16510, 769, 7901, 3115, 16615, 543, 14068, 2471, 1129, 909, 2845, 538, 4663, 948, 12875, 3399, 1934, 585, 513, 2656, 7650, 540, 519, 3135, 6435, 4741, 26346, 18104, 18438, 16754, 11061, 898, 568, 519, 3017, 1063, 519, 1267, 540, 519, 6482, 543, 519, 3020, 1871, 540, 1018, 596, 941, 7893, 269, 19244, 519, 1482, 2268, 1896, 2053, 547, 1205, 513, 1434, 3328, 1871, 269, 476, 275, 780, 1012, 634, 3070, 568, 547, 9260, 519, 6207, 5470, 676, 519, 11201, 540, 513, 13452, 22496, 5365, 267, 602, 814, 513, 2147, 2887, 11325, 3601, 547, 519, 6786, 540, 1719, 267, 543, 568, 2318, 10876, 780, 1607, 2241, 3830, 6645, 596, 875, 2484, 1055, 596, 941, 538, 6476, 547, 519, 2949, 6482, 269, 1063, 476, 4391, 4113, 543, 476, 4375, 4113, 264, 18323, 815, 476, 4343, 13008, 272, 4113, 1924, 281, 18104, 18438, 815, 476, 272, 4113, 1656, 281, 28731, 18438, 815, 476, 272, 4113, 815, 476, 271, 269, 271, 2918, 274, 1862, 476, 4343, 4113, 1656, 281, 20587, 720, 18438, 815, 476, 273, 269, 8287, 1862, 260, 7151, 281, 1411, 661, 4753, 5851, 7201, 12392, 5851, 3733, 5851, 31592, 5811, 7305, 540, 12937, 476, 271, 4985, 476, 272, 18438, 5811, 476, 272, 269, 272, 30059, 543, 6452, 5596, 476, 272, 269, 273, 18104, 543, 28731, 18438, 476, 272, 269, 274, 31056, 6226, 1080, 476, 273, 6613, 20143, 23830, 18104, 18438, 16754, 8212, 25873, 824, 2055, 28562, 7194, 610, 2307, 707, 1378, 2243, 780, 15124, 652, 25792, 18438, 281, 5221, 1100, 6482, 568, 3169, 267, 7403, 616, 2141, 1500, 547, 519, 834, 928, 11732, 1945, 2580, 2436, 621, 568, 7150, 610, 711, 269, 5999, 476, 272, 269, 8382, 713, 2243, 25035, 607, 1862, 5291, 2517, 342, 777, 326, 342, 3820, 270, 7758, 894, 268, 19587, 270, 7758, 894, 268, 19587, 1790, 15462, 3491, 21793, 21703, 634, 4830, 4756, 568, 519, 6712, 522, 13718, 20797, 10819, 692, 13449, 6345, 538, 513, 1007, 6885, 6168, 5240, 5192, 707, 3952, 6632, 610, 4685, 1318, 538, 8073, 10055, 7427, 721, 9365, 12108, 9736, 476, 1001, 277, 590, 8008, 295, 8656, 4804, 267, 20941, 269, 14732, 21322, 4477, 5443, 560, 710, 267, 1912, 6185, 1421, 6168, 2593, 267, 10674, 2517, 322, 13511, 269, 12671, 2593, 270, 617, 11305, 13511, 638, 1157, 516, 1613, 21669, 270, 23024, 2928, 21867, 269, 901, 949, 4019, 547, 707, 7893, 7405, 607, 1134, 269, 8074, 267, 519, 7299, 13063, 616, 6207, 1871, 4191, 267, 2495, 4376, 1369, 873, 1590, 581, 2318, 780, 4462, 1080, 634, 6207, 5470, 786, 1689, 4470, 593, 519, 4559, 1031, 269, 1548, 547, 798, 609, 1250, 840, 268, 10117, 8250, 945, 814, 1044, 856, 540, 1852, 2094, 513, 4049, 8009, 286, 3509, 3621, 2645, 267, 899, 8856, 5323, 13827, 543, 6482, 3937, 267, 1419, 814, 6207, 5470, 13042, 593, 519, 5011, 607, 834, 266, 25773, 12223, 834, 476, 274, 11408, 1039, 519, 3617, 4559, 269, 28611, 1004, 946, 6207, 5470, 267, 3448, 5470, 267, 543, 2600, 5470, 547, 2099, 971, 15739, 32735, 281, 6207, 5470, 815, 1923, 309, 25152, 910, 966, 4310, 347, 3448, 5470, 815, 1923, 263, 309, 25152, 910, 966, 4310, 8358, 309, 25152, 347, 692, 6546, 849, 3085, 1405, 948, 267, 1317, 713, 23451, 519, 5470, 547, 581, 538, 519, 2039, 1496, 271, 267, 273, 3910, 543, 16382, 835, 540, 962, 318, 5632, 267, 962, 318, 10339, 568, 4642, 267, 519, 5470, 3339, 2213, 713, 1259, 786, 581, 476, 272, 267, 589, 1906, 2259, 2042, 693, 519, 1439, 2285, 519, 3593, 513, 4960, 547, 2259, 1018, 789, 4312, 4121, 538, 519, 3992, 269, 630, 3467, 264, 6423, 2859, 9523, 21302, 713, 281, 3776, 2271, 549, 547, 5369, 17166, 707, 18104, 18438, 729, 834, 273, 7397, 1701, 901, 6645, 707, 13588, 4010, 875, 2484, 1055, 707, 5470, 729, 269, 789, 1223, 1312, 581, 519, 10545, 2009, 2268, 267, 610, 1312, 519, 4102, 269, 0, 258, 700, 30224, 1966, 281, 1250, 2626, 1281, 711, 6474, 519, 1883, 692, 2080, 568, 519, 1966, 1384, 288, 561, 30224, 568, 4092, 538, 8235, 12309, 267, 476, 4968, 3952, 689, 519, 14282, 1448, 593, 13272, 269, 634, 1769, 29226, 693, 513, 3586, 2557, 267, 1818, 737, 2347, 26201, 829, 5662, 269, 2311, 519, 4090, 602, 519, 11237, 16125, 513, 1448, 593, 519, 13272, 476, 4335, 3952, 689, 519, 561, 30224, 267, 519, 1448, 540, 1769, 568, 10707, 2059, 519, 32132, 693, 513, 2557, 540, 476, 273, 267, 4335, 3952, 829, 8792, 269, 4855, 737, 780, 16875, 1535, 454, 288, 3071, 13090, 289, 454, 347, 16875, 1315, 454, 347, 1038, 1315, 454, 4968, 347, 8587, 1315, 4335, 454, 347, 825, 1315, 454, 347, 15184, 1315, 454, 347, 13045, 299, 454, 27331, 30224, 9239, 2080, 568, 1250, 3070, 1384, 2330, 343, 815, 476, 4335, 7562, 7268, 9064, 14638, 6695, 2765, 346, 11459, 2410, 19049, 348, 815, 476, 4335, 6523, 7268, 9064, 9385, 2765, 18097, 24592, 2410, 19049, 6525, 1879, 519, 1769, 16125, 645, 267, 4399, 2765, 346, 11459, 2410, 19049, 348, 815, 476, 7742, 271, 259, 543, 1269, 6523, 7268, 9064, 264, 815, 1422, 2765, 3374, 16859, 13295, 267, 3230, 7742, 271, 815, 476, 4335, 24206, 21702, 3374, 21702, 18097, 24592, 2410, 19049, 6525, 6695, 2765, 18097, 24592, 2410, 19049, 348, 815, 1422, 2765, 346, 1839, 348, 274, 9681, 3719, 267, 519, 1769, 2306, 737, 26201, 829, 5662, 267, 799, 649, 786, 6460, 547, 829, 8792, 269, 6695, 2765, 18097, 24592, 2410, 19049, 348, 815, 1422, 2765, 346, 273, 19570, 737, 2410, 2568, 15732, 3086, 267, 649, 723, 3230, 330, 815, 1422, 2765, 346, 7742, 7346, 7032, 15732, 3719, 950, 594, 6743, 693, 519, 1883, 267, 621, 729, 4399, 2765, 346, 3445, 4153, 7032, 10608, 7316, 729, 594, 4636, 2496, 1892, 670, 842, 281, 1269, 343, 815, 476, 4335, 1422, 7562, 7268, 9064, 7751, 568, 2953, 693, 519, 2016, 4399, 9064, 8961, 855, 1269, 4335, 259, 568, 711, 513, 3586, 607, 4399, 9064, 259, 9775, 267, 865, 596, 666, 711, 17589, 621, 1996, 942, 607, 971, 269, 1107, 1109, 11459, 643, 4239, 476, 274, 1412, 1626, 693, 476, 274, 281, 6872, 692, 7312, 4082, 585, 1269, 343, 259, 568, 4636, 585, 2489, 4399, 9064, 8961, 2094, 519, 476, 4335, 568, 711, 513, 3586, 269, 898, 1058, 581, 3230, 343, 284, 4968, 315, 11927, 24592, 2330, 3973, 6695, 2765, 346, 11459, 2410, 19049, 13157, 4968, 315, 5913, 317, 273, 24592, 24206, 21702, 18097, 24592, 2410, 19049, 13157, 7742, 271, 2330, 4595, 4399, 6523, 24592, 7807, 2765, 3374, 8961, 4399, 5913, 317, 273, 24592, 7807, 2765, 346, 1839, 348, 280, 10608, 3230, 4968, 24206, 21702, 346, 1839, 348, 280, 24206, 21702, 18097, 24592, 2410, 19049, 13157, 7742, 271, 2330, 6695, 2765, 18097, 24592, 2410, 19049, 13157, 274, 7807, 2765, 346, 273, 19570, 737, 2410, 2568, 6525, 3230, 330, 7807, 2765, 346, 3445, 7346, 7032, 6525, 0, 1012, 17726, 543, 20653, 6290, 267, 519, 5772, 673, 3828, 1231, 692, 2704, 2431, 269, 901, 568, 513, 2241, 2243, 267, 855, 621, 1281, 2285, 803, 930, 2042, 269, 1548, 781, 519, 3017, 1063, 17726, 543, 20653, 6290, 286, 1358, 2811, 10416, 519, 1482, 1919, 267, 693, 2547, 538, 1250, 2247, 269, 1656, 621, 1131, 581, 8799, 547, 5963, 917, 519, 3017, 865, 602, 594, 666, 946, 621, 547, 5173, 8631, 899, 12761, 543, 10231, 780, 4284, 7775, 326, 2593, 2257, 3377, 593, 4284, 7775, 326, 2593, 23645, 15173, 15158, 31782, 1101, 3167, 3454, 529, 9563, 25448, 547, 10244, 519, 2842, 538, 1648, 6968, 9563, 30982, 781, 23580, 540, 9605, 454, 13876, 1431, 281, 7108, 16588, 3163, 20180, 528, 16065, 9622, 7978, 17726, 568, 1175, 9588, 6991, 568, 9588, 543, 4287, 269, 4935, 606, 1843, 781, 3432, 1131, 581, 476, 276, 18890, 267, 855, 922, 6991, 1522, 581, 476, 276, 18890, 5101, 269, 1403, 596, 723, 1079, 6517, 267, 835, 6117, 7178, 693, 476, 2568, 18890, 543, 519, 824, 6117, 5101, 693, 476, 2568, 18890, 267, 789, 723, 519, 1482, 3432, 855, 1114, 29702, 269, 1306, 2484, 607, 10231, 4422, 267, 621, 568, 513, 1689, 538, 6991, 267, 799, 1223, 1611, 513, 1689, 540, 3432, 267, 4287, 267, 610, 1312, 269, 1280, 1383, 267, 606, 1843, 10707, 538, 513, 5858, 693, 513, 3586, 3432, 267, 568, 7683, 4657, 4287, 543, 4061, 568, 18460, 10231, 563, 13876, 1431, 281, 7108, 16588, 3163, 20180, 528, 16065, 9622, 7978, 6271, 1259, 540, 6031, 1018, 3967, 639, 1705, 281, 834, 767, 6290, 257, 568, 513, 6152, 7274, 269, 834, 11854, 539, 257, 568, 519, 9588, 540, 519, 6991, 6152, 269, 769, 513, 1360, 2241, 267, 835, 21021, 2013, 267, 606, 1843, 3001, 538, 519, 2318, 4287, 609, 3432, 476, 1015, 544, 4882, 1131, 723, 6991, 1341, 1015, 544, 4882, 1247, 835, 3001, 693, 519, 1482, 3432, 538, 519, 2942, 4287, 1131, 723, 6991, 910, 1015, 544, 4882, 269, 769, 1079, 7516, 267, 952, 649, 1491, 519, 2318, 1535, 14289, 15738, 7532, 543, 519, 2318, 586, 14289, 5087, 267, 1287, 513, 1286, 3001, 7532, 693, 476, 2568, 18890, 1131, 723, 6991, 6152, 2999, 2568, 267, 476, 271, 285, 1247, 835, 3001, 7178, 693, 476, 2568, 18890, 1131, 723, 6991, 6152, 26013, 2568, 267, 271, 20101, 6684, 267, 513, 1286, 3001, 5087, 693, 476, 2568, 18890, 1131, 723, 6991, 6152, 2999, 271, 267, 476, 2568, 285, 543, 513, 1286, 3001, 5045, 693, 476, 2568, 18890, 1131, 723, 6991, 6152, 2999, 271, 16427, 2568, 20101, 589, 1286, 3001, 5087, 3887, 770, 693, 476, 2568, 18890, 568, 513, 2370, 9875, 269, 4706, 6991, 6152, 568, 2999, 2568, 270, 18414, 263, 273, 1070, 476, 2568, 270, 18414, 263, 273, 264, 20101, 634, 3432, 538, 1169, 835, 540, 1346, 1806, 568, 267, 540, 1576, 267, 476, 2568, 18890, 269, 0, 12218, 476, 277, 3163, 692, 258, 18289, 543, 20970, 692, 9288, 5501, 618, 281, 24951, 606, 7164, 7274, 609, 930, 1634, 7274, 568, 1572, 6482, 780, 4910, 738, 540, 20970, 281, 634, 1267, 540, 6482, 814, 1079, 2694, 282, 835, 851, 568, 519, 1297, 543, 1776, 851, 568, 519, 1770, 269, 634, 1634, 7274, 799, 568, 1031, 538, 6482, 568, 1572, 513, 1770, 269, 1280, 1383, 282, 950, 596, 2161, 602, 707, 4463, 568, 476, 5611, 4699, 1287, 519, 6482, 540, 707, 4463, 568, 1373, 6829, 538, 513, 1297, 267, 1775, 4318, 269, 476, 5611, 543, 513, 1770, 267, 1775, 4318, 269, 1298, 9014, 780, 1012, 1488, 4226, 9009, 19590, 540, 20970, 692, 8993, 281, 1488, 4226, 9009, 4559, 540, 6482, 692, 6524, 519, 1646, 540, 3044, 4559, 540, 6482, 267, 1004, 1031, 17062, 4559, 540, 6482, 269, 2368, 540, 873, 616, 1869, 538, 946, 693, 930, 4025, 269, 24732, 3966, 267, 9416, 27480, 267, 7750, 527, 630, 26319, 1063, 519, 23969, 543, 9416, 4388, 1070, 3723, 27480, 543, 7916, 27480, 616, 930, 1806, 540, 17062, 4559, 540, 6482, 780, 2162, 32539, 540, 1488, 4226, 9009, 19590, 540, 20970, 692, 2791, 723, 2938, 602, 17062, 4559, 616, 1500, 909, 540, 13080, 540, 1114, 1560, 2694, 269, 1452, 13080, 666, 4268, 689, 835, 1268, 547, 1776, 269, 901, 666, 1711, 2603, 540, 10539, 607, 972, 1131, 581, 1100, 7833, 640, 538, 6482, 780, 1012, 9208, 5149, 540, 20970, 692, 2414, 2226, 7833, 640, 538, 6482, 267, 3044, 4559, 540, 6482, 941, 5189, 538, 1114, 2694, 540, 519, 1158, 693, 1114, 4025, 269, 19167, 568, 5156, 547, 723, 5189, 1034, 540, 519, 3044, 4559, 540, 6482, 799, 616, 1373, 1031, 2221, 780 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 594, 6557, 519, 8689, 540, 1985, 307, 1779, 267, 513, 18758, 3919, 2813, 547, 7794, 3885, 998, 1930, 2792, 269, 1411, 666, 2638, 856, 782, 540, 938, 2200, 693, 1985, 307, 1779, 3820, 563, 271, 281, 876, 281, 2190, 1107, 29150, 476, 272, 454, 2171, 2461, 707, 24726, 267, 31908, 543, 2828, 267, 21365, 15520, 4143, 3584, 689, 513, 4168, 5133, 269, 1284, 2461, 4687, 1018, 649, 4076, 4121, 543, 1141, 649, 4076, 8959, 269, 1284, 2461, 865, 19914, 596, 2461, 1934, 585, 713, 6643, 563, 271, 281, 876, 281, 4391, 1107, 29150, 476, 273, 454, 302, 10798, 267, 1934, 649, 979, 269, 1284, 616, 10024, 938, 1007, 4005, 543, 649, 723, 930, 2462, 3584, 547, 14736, 621, 1055, 563, 271, 281, 876, 281, 3393, 1107, 29150, 476, 272, 454, 17413, 3670, 4816, 269, 1548, 538, 519, 1158, 568, 8345, 888, 271, 281, 876, 281, 5392, 1107, 29150, 476, 273, 454, 296, 1745, 899, 621, 779, 899, 15970, 269, 1411, 917, 267, 596, 2461, 899, 1141, 1705, 519, 942, 979, 286, 1358, 941, 1175, 4535, 267, 1284, 941, 1175, 4358, 938, 5925, 1397, 513, 8792, 3516, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 11806, 266, 1315, 13834, 21619, 874, 18319, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 606, 3078, 3460, 883, 519, 1158, 540, 5546, 256, 1284, 786, 2263, 3270, 602, 649, 666, 1294, 1472, 721, 1169, 1554, 998, 7285, 267, 3515, 267, 543, 15340, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 723, 2919, 707, 8901, 7744, 1983, 543, 6591, 513, 4514, 1620, 540, 875, 5546, 3514, 1927, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 1262, 8512, 594, 281, 27449, 5272, 3602, 256, 4373, 17951, 956, 616, 4646, 950, 1079, 12345, 2743, 693, 513, 1455, 1439, 4812, 1572, 519, 14584, 269, 5994, 5373, 1079, 21985, 4687, 513, 4358, 1448, 282, 1141, 789, 12969, 5932, 606, 5086, 256, 1703, 616, 1114, 2010, 540, 7285, 1759, 593, 741, 2268, 910, 8650, 267, 1318, 267, 1073, 339, 2224, 267, 2786, 267, 16846, 267, 543, 2407, 10047, 269, 2913, 781, 1491, 513, 6251, 1413, 1384, 265, 26590, 5086, 281, 10815, 982, 476, 3445, 4113, 267, 899, 519, 7944, 540, 513, 20105, 540, 16741, 2336, 265, 9406, 5086, 281, 22549, 476, 3445, 4113, 267, 1336, 538, 4009, 15174, 563, 265, 5136, 339, 2224, 5086, 281, 9737, 476, 3445, 4113, 543, 476, 5197, 4113, 267, 23401, 513, 2647, 268, 13449, 7450, 563, 265, 18135, 697, 5086, 281, 26321, 547, 476, 5197, 4113, 267, 8108, 513, 2786, 1899, 1063, 1079, 2798, 563, 265, 4676, 2716, 5086, 281, 2859, 982, 476, 5197, 4113, 855, 1447, 982, 476, 11740, 4113, 267, 2147, 547, 7432, 2250, 28870, 1247, 3168, 936, 707, 13105, 563, 265, 9509, 10047, 281, 1323, 3003, 5858, 7893, 4010, 476, 11740, 4113, 780, 3086, 2119, 4466, 891, 1585, 7285, 538, 707, 4928, 610, 1753, 256, 2052, 596, 1265, 1022, 824, 3615, 602, 1106, 2189, 7285, 2496, 1262, 8512, 4083, 281, 20514, 2334, 19147, 4373, 299, 1149, 1404, 606, 1898, 1909, 538, 5935, 938, 1604, 269, 1358, 7941, 7252, 543, 1711, 6302, 269, 1879, 7234, 3515, 1369, 9511, 267, 972, 616, 1614, 1292, 6688, 281, 2786, 267, 6252, 267, 543, 13902, 780, 265, 18135, 697, 7412, 281, 1306, 621, 4992, 267, 513, 2786, 2619, 8220, 1079, 2798, 1510, 19755, 610, 1225, 1324, 563, 265, 23155, 20514, 281, 5565, 3515, 602, 2760, 2743, 1317, 789, 2611, 2141, 519, 1482, 3845, 6306, 267, 1100, 2339, 875, 2484, 789, 8831, 269, 6056, 827, 5721, 13475, 4881, 7258, 1142, 824, 563, 265, 3131, 12993, 20514, 281, 1452, 3515, 12969, 693, 1318, 7285, 630, 3445, 4113, 1070, 2870, 2185, 3160, 7285, 1472, 519, 10167, 1448, 269, 1411, 1522, 5469, 873, 538, 5656, 1141, 6821, 2743, 19683, 610, 2781, 559, 902, 780, 4131, 781, 2259, 7114, 891, 2010, 540, 3515, 676, 11516, 4221, 2241, 2592, 971, 607, 8075, 267, 7515, 267, 610, 31966, 1210, 1152, 17710, 543, 735, 13293, 780, 1262, 8512, 8633, 281, 6641, 11496, 18903, 4373, 15228, 11496, 568, 1776, 4241, 2460, 540, 3337, 3408, 269, 898, 4386, 950, 835, 3368, 540, 606, 1843, 19141, 519, 824, 3368, 9985, 2059, 606, 7852, 269, 1280, 1383, 267, 17984, 267, 6777, 4148, 1389, 267, 543, 1256, 930, 3762, 4159, 24845, 15340, 269, 27014, 949, 849, 8858, 24364, 15340, 952, 789, 2408, 24240, 1310, 1373, 5828, 2789, 2053, 1472, 513, 3844, 1448, 780, 2414, 3605, 27101, 3270, 3054, 267, 16784, 1957, 538, 3368, 543, 2759, 856, 5546, 269, 7046, 909, 707, 5137, 267, 543, 21350, 10042, 910, 21136, 1148, 256, 8347, 5969, 811, 6946, 6272, 610, 4946, 4778, 547, 3986, 3308, 9029, 780, 1103, 3932, 267, 3695, 3270, 609, 5546, 2636, 721, 547, 5660, 519, 5898, 540, 6128, 18955, 2429, 2470, 543, 1480, 13144, 269, 5457, 547, 7747, 7285, 267, 2697, 3515, 267, 543, 3343, 15340, 16382, 596, 979, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2704, 6975, 18160, 630, 1691, 4728, 476, 6942, 280, 1107, 476, 1240, 4989, 476, 4198, 276, 264, 729, 513, 4436, 23899, 7811, 21997, 267, 4922, 17019, 547, 581, 835, 540, 519, 6574, 21575, 540, 782, 942, 269, 18160, 568, 1634, 585, 3384, 519, 3069, 540, 25536, 267, 855, 646, 849, 1500, 1271, 7418, 547, 519, 1646, 540, 519, 3069, 540, 7061, 11707, 269, 8625, 267, 25536, 543, 7061, 11707, 616, 519, 1079, 22225, 540, 2413, 6323, 269, 1261, 4465, 519, 476, 4572, 272, 17587, 15356, 538, 8212, 585, 1010, 7778, 540, 519, 2584, 29090, 1198, 563, 268, 6423, 849, 912, 268, 1133, 4630, 1889, 646, 675, 5060, 1609, 21050, 1543, 5918, 929, 15530, 550, 13248, 21050, 694, 6204, 857, 518, 632, 561, 262, 13273, 597, 563, 268, 589, 6126, 812, 568, 1932, 13854, 609, 519, 1459, 547, 17743, 1932, 1454, 593, 519, 2104, 563, 268, 3245, 834, 300, 525, 1160, 329, 1115, 546, 262, 288, 1597, 597, 2580, 513, 3943, 1557, 2854, 693, 2085, 476, 1704, 585, 513, 1153, 981, 630, 1240, 5181, 476, 6245, 277, 1040, 634, 11814, 539, 14430, 540, 15751, 18160, 5292, 269, 476, 272, 630, 2735, 278, 264, 9022, 269, 476, 2420, 563, 268, 4201, 528, 527, 7564, 1206, 706, 1088, 568, 339, 3541, 1989, 7238, 29967, 974, 3171, 785, 3541, 654, 1695, 337, 15241, 563, 268, 32559, 24150, 547, 6392, 568, 519, 6574, 10546, 540, 5168, 563, 268, 6271, 8144, 281, 16958, 8854, 547, 835, 781, 2212, 568, 519, 575, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18698, 18963, 609, 25609, 257, 607, 851, 540, 834, 16300, 13493, 1315, 16610, 1315, 12025, 1299, 23426, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 267, 2484, 2476, 1572, 5527, 267, 972, 729, 513, 1390, 10340, 2059, 519, 1279, 267, 23090, 5757, 1572, 519, 20407, 269, 901, 10340, 3459, 513, 1279, 267, 1279, 942, 3516, 267, 1256, 1354, 707, 544, 20207, 543, 546, 23098, 941, 4535, 256, 769, 1249, 267, 621, 3323, 936, 476, 276, 267, 1822, 1296, 3516, 2439, 5331, 2348, 2679, 7161, 602, 616, 5215, 540, 1296, 2025, 256, 2334, 781, 875, 2025, 9147, 5527, 568, 269, 1452, 1004, 3710, 2462, 267, 4190, 3889, 1572, 26829, 543, 17633, 1210, 5458, 7161, 269, 2052, 596, 4952, 10518, 532, 865, 1082, 7161, 1510, 873, 9991, 286, 1358, 1590, 723, 1044, 2731, 2178, 543, 15931, 2439, 3086, 267, 1577, 803, 2995, 596, 827, 519, 2027, 5757, 602, 2095, 539, 998, 5527, 269, 634, 20407, 5211, 729, 899, 513, 9649, 2706, 14683, 3118, 585, 519, 9147, 21072, 269, 1358, 1031, 621, 547, 2951, 267, 3165, 267, 543, 1216, 741, 7031, 269, 3807, 899, 875, 596, 6445, 909, 707, 1216, 11480, 610, 8602, 8685, 267, 519, 9147, 21072, 1131, 7227, 585, 519, 20407, 547, 6360, 1169, 1032, 269, 1879, 621, 1705, 267, 621, 4547, 3638, 3037, 602, 5280, 741, 2371, 1332, 2462, 543, 2178, 269, 1684, 596, 917, 1018, 2186, 540, 2371, 789, 8057, 286, 962, 16244, 3283, 899, 10568, 267, 24061, 267, 543, 5388, 2439, 3719, 945, 3576, 1416, 540, 782, 891, 2371, 543, 2831, 286, 4208, 267, 6705, 543, 1200, 10249, 267, 540, 1576, 256, 26478, 12630, 5452, 543, 14478, 873, 1831, 8949, 1426, 1247, 1200, 10249, 3576, 1416, 540, 16933, 267, 23161, 267, 543, 13265, 269, 1411, 917, 875, 596, 948, 1491, 1416, 540, 707, 9162, 286, 4270, 267, 1175, 899, 602, 267, 855, 3079, 540, 9162, 267, 789, 6743, 1310, 741, 3484, 2645, 543, 2831, 780, 1103, 9147, 5527, 267, 1004, 5030, 1927, 538, 3885, 267, 1175, 899, 16523, 256, 1358, 1185, 544, 2174, 625, 267, 546, 5417, 625, 267, 14552, 267, 19946, 267, 543, 3006, 1256, 22594, 2713, 1927, 269, 1656, 7058, 1018, 286, 4634, 1394, 1287, 267, 3214, 4682, 547, 1153, 256, 1358, 4121, 1271, 1919, 899, 2542, 267, 1603, 267, 543, 2979, 1107, 1175, 899, 596, 798, 2221, 780, 3080, 4277, 3364, 827, 9147, 5527, 568, 602, 789, 5156, 538, 6266, 540, 10971, 543, 15831, 525, 269, 3962, 835, 6870, 1945, 1114, 267, 899, 519, 3141, 267, 519, 6607, 267, 610, 519, 8933, 269, 6884, 267, 789, 1131, 1628, 2462, 24112, 610, 17633, 585, 891, 10971, 267, 1175, 899, 649, 1522, 1118, 12400, 610, 13492, 585, 2576, 2027, 780, 3383, 267, 972, 596, 723, 621, 910, 513, 2656, 19214, 883, 1272, 538, 9147, 5527, 269, 3245, 741, 15999, 5656, 267, 8105, 2409, 267, 3232, 26050, 267, 543, 4978, 267, 972, 781, 7899, 547, 1451, 543, 581, 27086, 676, 713, 6909, 10340, 269, 1924, 267, 1985, 942, 596, 4235, 930, 1216, 610, 1404, 609, 707, 11442, 7161, 267, 3314, 938, 2828, 689, 9147, 5527, 543, 2285, 873, 513, 2370, 2219, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8512, 540, 513, 3126, 593, 519, 454, 347, 14532, 540, 5527, 2008, 25238, 2106, 770, 625, 540, 9147, 5527, 2008, 301, 792, 5101, 630, 322, 269, 476, 20065, 271, 1700, 6344, 271, 7460, 994, 21026, 5607, 630, 322, 269, 476, 4968, 271, 1700, 6344, 271, 7460, 994, 292, 2202, 630, 322, 269, 476, 17168, 271, 1700, 7785, 7460, 994, 19770, 630, 322, 269, 476, 1220, 271, 1700, 10384, 7460, 994, 26123, 5527, 729, 513, 10340, 540, 3504, 17368, 14665, 4000, 267, 13671, 2059, 519, 2539, 10301, 540, 519, 20407, 5211, 538, 519, 1747, 602, 568, 1631, 519, 2197, 5527, 269, 898, 568, 835, 540, 3670, 8978, 12977, 547, 8451, 10446, 269, 12266, 10340, 4553, 22300, 5527, 543, 1071, 2297, 1027, 1472, 476, 25628, 271, 7460, 630, 3147, 1800, 547, 6671, 12266, 12225, 1108, 264, 609, 519, 2797, 796, 2305, 540, 16592, 543, 13722, 5527, 896, 9093, 525, 630, 21865, 4857, 609, 23902, 1067, 1040, 634, 1686, 540, 3504, 5527, 7018, 607, 513, 3126, 540, 7123, 25267, 267, 9674, 676, 5712, 540, 3448, 16132, 1634, 607, 29329, 11270, 338, 281, 519, 6196, 8003, 540, 519, 7216, 27705, 6520, 267, 519, 5664, 8003, 540, 519, 5664, 27705, 6520, 543, 519, 1715, 8003, 540, 519, 17623, 27705, 6520, 563, 292, 5118, 6603, 519, 533, 4883, 12386, 540, 922, 1379, 538, 519, 1715, 8003, 267, 1282, 519, 10548, 612, 728, 1974, 267, 1141, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 9147, 1315, 5527, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6455, 547, 2327, 602, 707, 1557, 568, 2312, 543, 10257, 563, 28444, 675, 602, 596, 8415, 16048, 1893, 543, 513, 1379, 3159, 269, 1323, 7291, 1281, 711, 1611, 602, 707, 3159, 666, 581, 13016, 269, 1411, 1058, 3314, 606, 4081, 3159, 585, 519, 30810, 540, 519, 9634, 269, 1280, 2638, 267, 621, 1058, 2270, 16082, 602, 596, 786, 1039, 269, 1635, 20005, 1145, 540, 606, 7291, 267, 596, 666, 8415, 1201, 1229, 547, 6166, 269, 769, 1022, 2013, 267, 538, 606, 1557, 267, 621, 1058, 581, 2040, 4364, 909, 563, 763, 27792, 543, 1888, 4845, 11129, 547, 581, 10257, 267, 609, 513, 17046, 6662, 602, 950, 596, 2328, 606, 1557, 267, 596, 10416, 991, 547, 19467, 5220, 563, 2710, 711, 1118, 1279, 5220, 3274, 513, 4909, 2219, 2614, 568, 269, 769, 1022, 2013, 267, 2327, 602, 519, 5220, 616, 711, 22266, 267, 543, 707, 1448, 5526, 693, 519, 5467, 998, 621, 563, 16729, 568, 606, 1383, 540, 7291, 602, 11129, 547, 581, 911, 6150, 676, 1142, 2852, 1557, 5856, 15660, 269, 4985, 288, 269, 14956, 2287, 4845, 289, 269, 9502, 290, 269, 7690, 291, 269, 19080, 3948, 2862, 269, 10610, 288, 269, 13445, 4845, 270, 7666, 5875, 2465, 630, 30348, 264, 296, 269, 20031, 1047, 4512, 269, 4762, 3305, 566, 13839, 269, 20895, 540, 5037, 454, 289, 269, 13445, 4845, 270, 7666, 5875, 2465, 630, 30348, 264, 296, 269, 20031, 1047, 4512, 269, 4762, 3305, 566, 13839, 269, 681, 1495, 1144, 540, 5037, 454, 290, 269, 13445, 4845, 270, 7666, 5875, 2465, 630, 30348, 264, 296, 269, 20031, 1047, 4512, 269, 4762, 3305, 566, 13839, 269, 681, 1495, 1144, 540, 5037, 454, 291, 269, 13445, 4845, 270, 7666, 5875, 2465, 630, 30348, 264, 296, 269, 20031, 1047, 4512, 269, 4762, 3305, 566, 13839, 269, 681, 1495, 1144, 540, 5037, 454, 292, 269, 13445, 4845, 270, 7666, 5875, 2465, 630, 30348, 264, 296, 269, 20031, 1047, 4512, 269, 4762, 3305, 566, 13839, 269, 681, 1495, 1144, 540, 5037, 454, 293, 269, 13445, 4845, 270, 7666, 5875, 2465, 630, 322, 3300, 30348, 264, 296, 269, 20031, 1047, 4512, 269, 4762, 3305, 566, 13839, 269, 681, 1495, 1144, 540, 5037, 454, 294, 269, 13445, 4845, 270, 7666, 5875, 2465, 630, 3530, 3305, 566, 540, 4831, 30348, 264, 296, 269, 20031, 1047, 4512, 269, 4762, 3305, 566, 13839, 269, 681, 1495, 1144, 540, 5037, 7656, 269, 10390, 454, 288, 269, 19080, 3948, 289, 269, 14271, 18462, 267, 1919, 1373, 1018, 789, 616, 267, 290, 269, 6431, 340, 8172, 3948, 454, 1607, 7291, 568, 911, 6150, 676, 1082, 4810, 5830, 543, 568, 519, 1034, 796, 24683, 21505, 267, 607, 835, 666, 1246, 606, 1383, 269, 898, 27121, 5830, 547, 798, 960, 19692, 982, 9001, 930, 824, 1259, 269, 2750, 1051, 532, 602, 1022, 540, 596, 568, 1631, 588, 340, 701, 30829, 7282, 875, 547, 1118, 606, 7291, 610, 1590, 723, 513, 2219, 585, 707, 1557, 269, 3973, 267, 693, 602, 1448, 267, 798, 711, 8833, 543, 1289, 606, 1557, 1603, 3028, 269, 1452, 2533, 786, 948, 596, 2328, 606, 1557, 267, 610, 1118, 606, 7291, 602, 786, 979, 1034, 2693, 607, 606, 1383, 269, 9747, 1721, 628, 267, 1376, 609, 1739, 519, 1657, 3478, 4712, 543, 9096, 707, 7291, 1510, 1821, 28666, 513, 9522, 540, 942, 269, 901, 18894, 15130, 3898, 786, 948, 596, 6445, 538, 519, 5220, 267, 543, 538, 513, 5618, 4090, 267, 596, 786, 581, 2944, 609, 519, 782, 6838, 4305, 563, 2414, 16833, 909, 267, 1376, 676, 9306, 707, 1888, 543, 5098, 3948, 269, 3973, 267, 693, 602, 1448, 267, 2285, 1614, 1806, 540, 2638, 547, 946, 538, 1142, 1560, 5037, 269, 3503, 1079, 610, 1614, 1560, 9433, 609, 6169, 547, 948, 707, 5098, 3948, 269, 769, 3932, 267, 979, 936, 707, 5098, 543, 759, 6269, 569, 519, 21533, 269, 5620, 513, 10257, 28277, 909, 4845, 547, 1689, 519, 1557, 538, 513, 13337, 1652, 267, 1007, 1259, 563, 12749, 923, 29035, 281, 476, 271, 454, 28806, 23095, 281, 476, 271, 454, 2690, 636, 10020, 281, 12160, 656, 0, 295, 790, 538, 15057, 454, 2080, 779, 1141, 596, 1205, 3323, 609, 1480, 2200, 1655, 2853, 543, 17849, 538, 15057, 563, 298, 523, 12505, 1744, 3739, 630, 298, 2464, 994, 7659, 13474, 12700, 454, 298, 523, 5984, 267, 13166, 519, 6243, 540, 15057, 267, 568, 513, 2197, 538, 8109, 4000, 269, 15057, 779, 7115, 729, 29064, 538, 476, 3422, 274, 543, 519, 9139, 7550, 269, 4653, 267, 621, 568, 513, 16232, 11347, 11180, 14081, 609, 513, 3818, 18407, 1062, 269, 4706, 4095, 7909, 5032, 3177, 13840, 1271, 16788, 676, 799, 5370, 689, 26768, 543, 7489, 18318, 723, 9411, 519, 11782, 585, 1082, 5553, 563, 298, 523, 5984, 267, 8720, 513, 2698, 540, 476, 276, 3199, 267, 3607, 278, 4009, 12919, 267, 568, 536, 23912, 676, 18629, 547, 519, 5087, 267, 3162, 20528, 547, 519, 22070, 267, 28950, 807, 547, 519, 7532, 267, 24063, 547, 519, 7178, 543, 25157, 547, 519, 5045, 269, 634, 2197, 10665, 519, 4095, 7909, 547, 519, 22703, 563, 298, 523, 5984, 779, 2916, 9775, 4922, 267, 689, 4411, 6777, 1309, 5529, 7823, 25568, 547, 22465, 16374, 538, 7262, 543, 678, 3424, 14860, 17521, 543, 3819, 25545, 547, 6207, 24301, 269, 634, 968, 14075, 22856, 892, 4005, 4386, 689, 4728, 610, 4989, 547, 2904, 610, 4873, 269, 634, 968, 26211, 22856, 892, 4005, 16569, 689, 5239, 547, 5437, 610, 5412, 563, 763, 2138, 1729, 540, 2048, 19604, 600, 23331, 685, 630, 18933, 1695, 8270, 585, 968, 335, 1638, 532, 1927, 14615, 814, 1044, 14129, 676, 15057, 779, 2229, 2094, 519, 2197, 779, 7115, 267, 1256, 607, 519, 2528, 568, 1500, 909, 540, 2789, 5389, 269, 31838, 5095, 1331, 519, 4210, 1695, 8270, 593, 519, 5032, 267, 1896, 824, 645, 656, 340, 2950, 538, 519, 3844, 543, 7262, 4525, 607, 1134, 607, 715, 559, 5328, 2950, 538, 519, 22070, 563, 26466, 4520, 540, 4984, 568, 16798, 676, 15057, 779, 11156, 269, 634, 5354, 540, 8230, 344, 753, 616, 4168, 630, 5952, 269, 276, 15992, 540, 7247, 476, 7871, 269, 280, 260, 616, 17557, 543, 476, 736, 269, 277, 260, 616, 4936, 7826, 269, 5771, 568, 519, 2034, 4102, 4984, 267, 16030, 476, 1015, 269, 280, 260, 540, 519, 2551, 269, 7087, 4978, 616, 13736, 676, 476, 271, 269, 278, 260, 540, 519, 2551, 543, 476, 271, 269, 1724, 260, 616, 27734, 269, 634, 1875, 3146, 31437, 1118, 909, 476, 271, 269, 278, 260, 540, 519, 2551, 563, 763, 1079, 4013, 4654, 616, 2296, 543, 4210, 1695, 8270, 267, 609, 2296, 4922, 9275, 538, 1870, 267, 2069, 543, 2229, 269, 15057, 779, 1585, 6803, 2516, 2356, 3717, 741, 3993, 10209, 1132, 538, 741, 1378, 2950, 563, 298, 523, 5984, 15679, 693, 513, 3794, 766, 454, 298, 523, 5984, 779, 7694, 543, 4074, 1894, 15424, 5943, 568, 5266, 1007, 269, 634, 29071, 616, 1175, 936, 513, 8717, 2025, 267, 1739, 519, 1596, 592, 326, 566, 540, 519, 9139, 538, 476, 1001, 271, 269, 1452, 29071, 723, 3648, 4957, 4074, 1876, 538, 1978, 3344, 543, 7494, 8476, 519, 2924, 540, 5520, 563, 10387, 7877, 1894, 538, 15057, 616, 14931, 676, 513, 1297, 540, 2959, 281, 13338, 2924, 267, 1367, 4074, 11731, 607, 1134, 607, 519, 27152, 2924, 543, 2924, 1305, 676, 7104, 11650, 630, 290, 289, 2026, 1916, 763, 27152, 5943, 12044, 7694, 543, 4074, 1894, 538, 15057, 568, 1305, 856, 538, 2947, 1292, 29071, 912, 268, 25477, 2920, 454, 268, 8534, 9534, 2920, 454, 268, 8534, 30543, 2920, 454, 268, 4518, 28864, 11588, 2920, 454, 268, 27706, 2657, 543, 8881, 2920, 454, 2304, 7694, 4579, 267, 799, 1281, 711, 14574, 513, 6378, 1974, 540, 8653, 267, 568, 2808, 547, 581, 585, 606, 19957, 1974, 540, 942, 269, 898, 666, 581, 2165, 3990, 676, 5469, 540, 2901, 5428, 269, 1717, 267, 538, 519, 6896, 5823, 267, 7104, 11650, 799, 2285, 4600, 26022, 9247, 3970, 519, 12820, 685, 2702, 547, 11166, 543, 1439, 519, 7694, 4579, 563, 8448, 2010, 540, 11731, 912, 268, 16629, 783, 7694, 454, 268, 623, 19991, 1740, 7694, 454, 268, 2561, 1370, 1182, 1222, 11731, 454, 1103, 15057, 267, 1312, 5711, 543, 2854, 11731, 616, 6444, 269, 589, 4579, 585, 513, 1974, 540, 811, 982, 1614, 3275, 1058, 581, 538, 1603, 269, 1403, 513, 4579, 568, 2854, 267, 972, 616, 930, 2596, 4170, 269, 1280, 1383, 267, 621, 1590, 1331, 519, 1739, 912, 268, 2012, 543, 2085, 540, 519, 9441, 454, 268, 8628, 2232, 540, 519, 9441, 454, 268, 2012, 540, 519, 16108, 454, 268, 2816, 6609, 454, 268, 30134, 618, 4266, 540, 7694, 454, 268, 8653, 540, 519, 4579, 454, 268, 9036, 543, 3108, 540, 960, 454, 268, 1121, 684, 3130, 543, 4908, 540, 8569, 454, 268, 4734, 1303, 1856, 618, 454, 4322, 16601, 1880, 338, 1058, 581, 8815, 2390, 711, 2663, 982, 1079, 3275, 1310, 519, 1376, 540, 519, 7694, 2078, 563, 2304, 2048, 655, 1943, 2465, 685, 568, 3989, 607, 513, 1268, 6964, 585, 13848, 610, 513, 14057, 543, 2882, 606, 22961, 823, 543, 25034, 3293, 15226, 269, 589, 2048, 4186, 847, 540, 3028, 685, 568, 513, 11006, 6876, 1107, 2436, 5711, 610, 538, 1603, 267, 6829, 610, 22466, 1107, 547, 2308, 610, 547, 4196, 607, 513, 11832, 585, 513, 1974, 540, 942, 269, 901, 4214, 2882, 11731, 540, 29095, 1222, 607, 1134, 607, 25034, 3293, 6267, 1222, 563, 2005, 568, 513, 3656, 10421, 585, 1978, 11731, 540, 3028, 547, 581, 11943, 538, 1603, 269, 1452, 1331, 11731, 912, 268, 585, 513, 6024, 1974, 540, 3670, 3275, 454, 268, 799, 616, 711, 6024, 855, 585, 799, 519, 5712, 1869, 1039, 909, 547, 3670, 3275, 563, 268, 538, 799, 519, 4305, 547, 581, 5340, 666, 2063, 585, 3670, 3275, 563, 2252, 513, 4579, 568, 11943, 538, 1603, 267, 621, 1590, 581, 10483, 676, 513, 15040, 610, 513, 31937, 540, 519, 9441, 1129, 4328, 1352, 610, 646, 814, 8815, 547, 922, 2474, 269, 1703, 1590, 849, 581, 606, 3606, 7198, 630, 2254, 519, 16108, 1040, 898, 568, 519, 10279, 540, 519, 16108, 547, 1118, 2386, 519, 4579, 568, 2854, 950, 2838, 676, 1876, 563, 2005, 568, 2009, 547, 9772, 8465, 960, 12417, 1063, 519, 16108, 543, 519, 9441, 269, 634, 960, 8430, 666, 581, 11295, 547, 3514, 538, 713, 8465, 942, 11460, 269, 2060, 519, 5046, 268, 866, 6855, 267, 8465, 543, 26227, 960, 12417, 723, 1044, 17947, 676, 519, 5354, 540, 28737, 563, 32715, 619, 666, 7662, 4282, 11974, 585, 912, 268, 22518, 5638, 1107, 589, 15149, 540, 1434, 2932, 666, 581, 16761, 689, 519, 10615, 622, 540, 22518, 15766, 725, 563, 268, 6481, 1686, 1107, 14146, 619, 666, 2307, 1761, 5520, 547, 10929, 2564, 4255, 267, 609, 519, 9844, 540, 519, 5520, 563, 268, 10684, 9584, 1107, 901, 666, 581, 16761, 952, 621, 568, 4143, 547, 519, 2816, 538, 2243, 563, 268, 26790, 4567, 454, 23536, 566, 11270, 270, 23632, 11270, 454, 288, 2625, 566, 776, 1974, 1590, 711, 581, 811, 982, 3670, 3275, 269, 898, 666, 581, 6905, 585, 513, 2417, 1974, 540, 711, 811, 982, 3670, 3275, 609, 519, 6876, 540, 519, 9441, 563, 7628, 519, 2625, 566, 776, 1974, 267, 2901, 5428, 949, 2165, 3729, 519, 4579, 676, 4758, 693, 2547, 5722, 2395, 685, 5469, 269, 18599, 2395, 685, 13848, 538, 9114, 340, 540, 5469, 666, 849, 581, 6035, 563, 763, 27152, 5021, 2324, 3108, 568, 476, 7367, 3108, 829, 3018, 267, 609, 476, 272, 16601, 1964, 1554, 538, 1169, 476, 278, 1554, 2324, 1974, 269, 1717, 267, 1455, 2259, 568, 476, 3393, 960, 3108, 3262, 936, 476, 276, 2395, 563, 302, 3200, 830, 568, 1121, 684, 23306, 693, 519, 5934, 2557, 540, 476, 5611, 260, 540, 519, 3339, 5662, 569, 2557, 952, 519, 936, 5503, 568, 593, 519, 3339, 2324, 2395, 269, 634, 2557, 568, 476, 1220, 260, 540, 519, 5662, 569, 2557, 952, 519, 936, 5503, 568, 593, 575, 1794, 564, 1540, 1857, 14812, 563, 10048, 1771, 5520, 616, 711, 2356, 13886, 547, 936, 5503, 269, 4256, 11731, 786, 14574, 971, 14074, 563, 10387, 7877, 5638, 1058, 581, 6854, 585, 513, 5934, 1974, 540, 2947, 1296, 1739, 519, 26694, 540, 519, 7694, 563, 289, 517, 4926, 543, 519, 476, 1724, 628, 3923, 14057, 616, 711, 16601, 538, 15057, 269, 1452, 666, 581, 3769, 538, 11731, 610, 25553, 3008, 269, 1717, 267, 713, 568, 7357, 909, 547, 519, 16108, 543, 519, 9441, 547, 21907, 563, 28350, 1588, 540, 7694, 814, 547, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 547, 1265, 543, 8523, 22660, 3276, 10118, 593, 1250, 16314, 15143, 547, 5177, 269, 1924, 594, 3323, 606, 9185, 3758, 540, 1004, 267, 7389, 267, 543, 4025, 540, 954, 618, 269, 594, 723, 7366, 540, 13366, 269, 4595, 594, 1810, 1405, 723, 513, 3896, 540, 1250, 1378, 267, 594, 6415, 711, 2386, 875, 547, 2671, 621, 2336, 306, 639, 534, 281, 5616, 1325, 1068, 338, 4730, 909, 1586, 888, 10111, 5055, 281, 3798, 4083, 781, 12081, 729, 519, 1101, 1974, 538, 2296, 1686, 799, 4718, 1804, 2338, 540, 2296, 15626, 5443, 13401, 910, 547, 519, 16897, 540, 29629, 2456, 269, 630, 2005, 2968, 3339, 2663, 267, 540, 1576, 910, 519, 30675, 1185, 1044, 1305, 26695, 10908, 537, 31569, 729, 519, 1152, 3783, 7166, 693, 645, 2335, 1442, 14315, 267, 593, 2901, 2427, 563, 288, 1676, 16660, 281, 9811, 267, 3798, 729, 711, 513, 812, 547, 31799, 543, 7340, 267, 543, 31372, 3461, 569, 585, 476, 1015, 1296, 585, 20947, 2336, 2467, 941, 1063, 827, 476, 279, 543, 476, 1724, 1274, 3149, 693, 1022, 835, 942, 910, 538, 476, 14530, 271, 972, 941, 476, 1556, 267, 585, 1383, 269, 12493, 5747, 538, 476, 14530, 272, 267, 543, 519, 1739, 1032, 267, 3798, 1500, 1010, 20169, 5067, 3783, 540, 4258, 3122, 267, 543, 1010, 3368, 1532, 549, 750, 7338, 3783, 540, 7439, 27714, 269, 3973, 2782, 19213, 5747, 538, 476, 14530, 276, 267, 865, 519, 2338, 11385, 730, 513, 4023, 3787, 563, 5591, 267, 519, 7820, 2677, 335, 27660, 4769, 1405, 4309, 519, 1274, 671, 558, 540, 3794, 537, 31569, 267, 1498, 646, 1223, 2503, 547, 27836, 1010, 4651, 781, 835, 1554, 910, 4352, 12736, 17998, 729, 14320, 1447, 20380, 982, 3794, 537, 31569, 269, 898, 781, 711, 2312, 1946, 646, 4769, 1405, 1205, 519, 1274, 671, 558, 910, 2901, 1317, 646, 543, 3798, 941, 1373, 24534, 585, 2899, 267, 610, 267, 811, 2693, 267, 1317, 646, 729, 865, 3532, 543, 865, 8789, 538, 12986, 1310, 476, 15171, 273, 602, 1256, 519, 1274, 671, 558, 540, 3794, 537, 31569, 9327, 1405, 723, 1044, 2614, 563, 294, 629, 4471, 548, 281, 972, 781, 513, 1390, 2462, 4729, 321, 22324, 972, 267, 594, 1589, 269, 6902, 994, 13731, 344, 281, 7064, 585, 519, 9623, 827, 3371, 5112, 910, 594, 4769, 1405, 917, 602, 563, 305, 690, 518, 18200, 25534, 729, 2901, 12617, 693, 519, 27578, 325, 686, 1513, 538, 595, 990, 18782, 610, 1744, 4319, 338, 12064, 910, 711, 5507, 267, 5103, 519, 11509, 7242, 602, 1772, 629, 7578, 8359, 547, 581, 12617, 1985, 547, 1864, 269, 630, 306, 611, 569, 267, 711, 3020, 4700, 1261, 1522, 723, 1044, 6410, 547, 654, 580, 3467, 267, 855, 621, 781, 711, 1978, 563, 294, 559, 6975, 632, 29366, 630, 15367, 5747, 693, 645, 2335, 1442, 14315, 264, 568, 12617, 693, 570, 1168, 7719, 12064, 30745, 538, 3794, 537, 806, 1562, 10921, 267, 609, 1010, 4651, 267, 22516, 267, 543, 6266, 540, 824, 632, 1849, 4100, 269, 31849, 540, 519, 2677, 335, 839, 619, 267, 1519, 670, 7676, 519, 7820, 543, 1010, 7385, 661, 32642, 632, 29366, 267, 616, 12617, 972, 1932, 563, 5970, 596, 2219, 827, 4358, 513, 5816, 267, 547, 2671, 707, 9623, 286, 898, 781, 1863, 543, 2731, 2653, 547, 1305, 909, 563, 12552, 1325, 1014, 648, 585, 5587, 4328, 519, 3510, 540, 519, 1297, 540, 1274, 3149, 269, 1656, 9811, 267, 594, 6415, 2386, 2677, 5155, 1356, 729, 3638, 2614, 1510, 606, 1274, 671, 558, 267, 543, 267, 1175, 6148, 267, 3798, 4956, 972, 729, 4055, 585, 1152, 835, 3783, 538, 554, 338, 2295, 646, 515, 515, 256, 2859, 2693, 646, 4397, 2677, 5155, 1356, 547, 27836, 1010, 4651, 781, 2140, 543, 4941, 547, 2057, 519, 15784, 540, 2870, 1010, 19463, 606, 3783, 540, 614, 1018, 5949, 547, 623, 4536, 563, 296, 1224, 2221, 538, 1250, 11356, 827, 1699, 2797, 2695, 13741, 1782, 267, 543, 972, 729, 513, 1390, 10839, 799, 4667, 14018, 547, 3798, 781, 12081, 910, 1412, 604, 596, 1616, 14017, 267, 1205, 513, 2915, 262, 910, 855, 711, 519, 4563, 670, 895, 540, 1488, 6577, 907, 2483, 13731, 344, 910, 1131, 581, 8748, 952, 596, 1223, 2671, 707, 1382, 563, 4131, 803, 2034, 519, 5163, 269, 594, 4312, 1419, 1279, 539, 547, 32696, 1250, 1378, 1412, 332, 27225, 2427, 3620, 984, 2421, 262, 543, 798, 4010, 607, 596, 4312, 2944, 267, 2441, 344, 563, 8450, 602, 1412, 22056, 5816, 262, 3095, 693, 519, 5580, 1318, 7944, 286, 8437, 621, 543, 1205, 3323, 256, 898, 781, 1863, 543, 1360, 2653, 269, 5403, 607, 1454, 693, 513, 942, 610, 607, 2370, 607, 596, 5225, 563, 4517, 667, 9128, 2562, 3951, 5085, 278, 1577, 1325, 1014, 648, 917, 1141, 649, 666, 1265, 621, 2336, 8133, 267, 798, 1577, 803, 917, 267, 1312, 540, 596, 267, 952, 543, 950, 596, 1305, 909, 21075, 267, 543, 594, 3513, 3095, 547, 873, 1934, 256, 1656, 14397, 281, 1131, 2648, 547, 917, 811, 827, 707, 1412, 332, 27225, 15908, 262, 2807, 282, 994, 17764, 267, 1482, 607, 2441, 344, 781, 1510, 630, 338, 662, 14386, 519, 2951, 269, 3807, 513, 1360, 23153, 5444, 11530, 626, 609, 513, 8781, 7279, 547, 1294, 519, 9723, 2125, 540, 1412, 1492, 11937, 3299, 1256, 952, 621, 781, 1175, 6337, 269, 1924, 1082, 3100, 547, 723, 20374, 1282, 634, 19837, 1828, 563, 763, 19837, 1828, 814, 513, 2603, 547, 2626, 585, 269, 594, 4312, 1224, 595, 269, 808, 269, 590, 22095, 781, 9089, 1305, 1282, 602, 1974, 267, 543, 2542, 827, 519, 9552, 540, 5386, 2025, 5656, 267, 543, 3504, 22251, 1373, 26151, 610, 1031, 547, 26763, 1524, 9640, 610, 607, 14299, 4771, 12545, 610, 607, 13471, 267, 1175, 2306, 803, 1616, 547, 3956, 563, 293, 6136, 267, 513, 2603, 540, 2025, 9723, 2125, 1705, 7639, 267, 1256, 952, 519, 24112, 593, 873, 941, 10032, 610, 642, 663, 531, 2213, 2483, 8070, 513, 19410, 0, 15100, 476, 1001, 279, 267, 23817, 2793, 7704, 8780, 267, 5549, 563, 3528, 3223, 603, 590, 269, 1284, 343, 2401, 267, 32233, 267, 18435, 302, 267, 6355, 4886, 10615, 23817, 2793, 7704, 8780, 267, 5549, 563, 26469, 1284, 343, 2401, 267, 631, 6185, 1421, 674, 6993, 5861, 20166, 14371, 1421, 6481, 10615, 267, 23817, 2793, 7704, 8780, 267, 5549, 563, 32747, 7905, 267, 4972, 540, 28267, 27798, 312, 301, 267, 2160, 540, 12548, 2657, 7070, 4741, 454, 32747, 7905, 267, 10406, 540, 21834, 270, 5719, 696, 269, 540, 27435, 267, 1133, 643, 269, 540, 12548, 270, 763, 5753, 779, 11233, 454, 25889, 281, 1284, 616, 2324, 609, 513, 1920, 1934, 538, 519, 2136, 2276, 543, 538, 2342, 538, 606, 3801, 547, 948, 2697, 519, 22686, 5444, 585, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 8376, 630, 13967, 307, 264, 865, 602, 519, 20766, 666, 3801, 10001, 293, 609, 2776, 574, 8690, 566, 18726, 23369, 630, 22333, 291, 1916, 26046, 281, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 8376, 630, 13967, 307, 264, 568, 835, 540, 519, 1034, 1455, 22420, 5179, 543, 10444, 5778, 12949, 625, 269, 634, 2783, 729, 3957, 1310, 14639, 9410, 932, 2117, 582, 543, 24839, 21322, 538, 8303, 543, 20999, 8361, 29392, 538, 11062, 267, 4789, 267, 945, 1101, 4330, 519, 2783, 538, 476, 6642, 277, 563, 763, 11841, 540, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 568, 5111, 476, 272, 538, 476, 7742, 271, 538, 519, 2136, 2276, 4352, 621, 9775, 3148, 958, 1373, 476, 272, 538, 476, 13199, 275, 538, 16157, 543, 476, 272, 538, 476, 20981, 271, 538, 519, 2136, 8003, 563, 4263, 2547, 476, 1691, 2010, 540, 18328, 307, 2068, 723, 1044, 4330, 912, 268, 476, 278, 15110, 538, 606, 1313, 23865, 8789, 6073, 454, 268, 476, 274, 538, 606, 1313, 23865, 12424, 633, 6073, 454, 268, 476, 275, 2010, 602, 616, 15110, 538, 513, 3023, 630, 311, 264, 5532, 12424, 633, 6073, 563, 763, 1034, 1455, 7154, 540, 18472, 568, 1313, 23865, 8789, 538, 799, 1152, 835, 18111, 614, 1190, 630, 323, 1047, 848, 4929, 264, 15817, 666, 1267, 538, 519, 2068, 7133, 476, 272, 281, 273, 630, 2004, 8472, 540, 1453, 267, 5256, 610, 4775, 9100, 1746, 519, 2068, 4929, 15817, 689, 835, 4299, 2385, 269, 2290, 540, 519, 1455, 4162, 540, 606, 1313, 23865, 8789, 569, 15110, 2783, 568, 4756, 4082, 538, 799, 519, 10335, 540, 519, 9306, 2589, 949, 4268, 14320, 563, 13967, 307, 7392, 476, 272, 912, 268, 5617, 773, 1386, 547, 581, 15110, 538, 606, 1313, 23865, 8789, 6073, 267, 3023, 630, 311, 264, 5532, 8789, 18472, 543, 1447, 4122, 26742, 19631, 630, 1372, 18051, 334, 264, 13592, 723, 849, 1044, 4080, 269, 634, 1585, 2010, 540, 18328, 307, 723, 1044, 5258, 883, 1016, 18196, 1759, 593, 519, 1634, 1757, 894, 13592, 543, 741, 9606, 10095, 6753, 563, 8505, 23865, 1234, 947, 633, 769, 615, 13330, 540, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 8376, 3340, 519, 18472, 540, 835, 18111, 614, 1190, 5444, 689, 1142, 19448, 26327, 15298, 2385, 269, 634, 2068, 568, 1419, 4505, 538, 12614, 543, 811, 4049, 269, 476, 1839, 260, 630, 272, 538, 476, 275, 264, 1453, 786, 581, 4299, 267, 476, 1839, 260, 630, 272, 538, 476, 275, 264, 1453, 786, 27836, 1152, 519, 3339, 19448, 26327, 27446, 543, 581, 19448, 26327, 543, 1875, 21307, 8175, 543, 476, 2004, 260, 630, 272, 538, 476, 273, 264, 786, 27836, 835, 18111, 614, 1190, 5444, 689, 1152, 835, 2385, 543, 581, 606, 19448, 26327, 15298, 899, 1142, 2385, 269, 22503, 543, 4775, 1453, 616, 3160, 1981, 563, 29189, 630, 311, 264, 21912, 1234, 947, 633, 769, 615, 13330, 568, 3361, 950, 606, 19448, 26327, 15298, 3993, 10596, 513, 18111, 614, 1190, 15817, 593, 835, 2473, 15694, 547, 513, 1126, 269, 18748, 539, 9038, 2348, 1152, 835, 2473, 15694, 786, 1780, 519, 4299, 2473, 547, 782, 4775, 1453, 945, 786, 581, 968, 10044, 26327, 892, 19057, 610, 2356, 723, 7646, 518, 2068, 269, 22503, 1453, 689, 606, 4299, 4651, 786, 4309, 741, 4651, 779, 962, 15694, 543, 581, 19448, 26327, 269, 2961, 8175, 8951, 786, 723, 513, 476, 2004, 260, 630, 272, 538, 476, 273, 264, 1981, 540, 8429, 741, 18111, 614, 1190, 2473, 15694, 547, 1142, 5256, 1126, 269, 21058, 1453, 723, 513, 476, 2004, 260, 630, 272, 538, 476, 273, 264, 1981, 540, 9100, 1746, 519, 18111, 614, 1190, 2473, 15694, 543, 581, 513, 15298, 4775, 899, 741, 3993, 563, 21618, 1419, 1331, 912, 268, 31808, 1145, 543, 10444, 2530, 538, 7916, 543, 7953, 454, 268, 715, 3518, 1145, 538, 519, 3952, 454, 268, 3493, 5962, 25688, 16846, 525, 454, 268, 4400, 3723, 30617, 610, 17200, 19462, 454, 268, 31597, 4887, 8467, 543, 27830, 454, 268, 28206, 1078, 14815, 538, 3946, 543, 3952, 454, 268, 16842, 12402, 4724, 5945, 799, 949, 979, 29462, 563, 763, 5868, 568, 1419, 1500, 24802, 269, 1717, 267, 2789, 5027, 5444, 8440, 616, 2139, 1519, 7421, 15672, 1973, 585, 476, 1704, 6090, 267, 476, 3393, 6090, 610, 476, 11025, 6090, 4470, 593, 519, 2693, 7154, 540, 18472, 1519, 1757, 894, 6090, 543, 1896, 16861, 2963, 6090, 563, 305, 732, 569, 519, 1482, 4524, 610, 513, 2147, 4524, 630, 335, 1156, 665, 4878, 264, 666, 1267, 689, 513, 1114, 2014, 543, 4125, 824, 6090, 269, 0, 306, 5593, 14731, 540, 2667, 27599, 568, 835, 540, 519, 1034, 1713, 543, 22265, 2003, 1513, 538, 8567, 269, 1261, 729, 519, 13653, 540, 513, 1007, 7826, 1931, 267, 799, 15091, 519, 946, 16531, 540, 1570, 22590, 538, 519, 23464, 543, 13986, 547, 900, 3634, 519, 6197, 540, 4906, 2441, 269, 901, 1557, 6663, 693, 6313, 519, 7209, 540, 12142, 14731, 267, 1010, 3483, 543, 10182, 547, 1272, 543, 2696, 267, 543, 9236, 1010, 1935, 547, 1395, 2880, 2853, 609, 5178, 27482, 543, 31409, 1014, 31494, 29625, 563, 14588, 32496, 585, 596, 454, 1721, 1152, 1269, 1626, 269, 4962, 1269, 1556, 270, 2457, 454, 1805, 269, 14731, 729, 711, 8385, 18979, 569, 13991, 547, 519, 2856, 540, 1395, 2880, 1143, 269, 4634, 1498, 646, 3459, 840, 2286, 693, 513, 5266, 1762, 2085, 540, 476, 2190, 267, 646, 8385, 729, 689, 513, 14547, 5580, 11665, 1920, 269, 32201, 16350, 543, 1570, 22590, 1185, 513, 1713, 1909, 538, 519, 1272, 540, 519, 2104, 23920, 269, 1717, 267, 519, 4108, 4655, 602, 853, 269, 14731, 851, 809, 538, 607, 1134, 607, 519, 7766, 1032, 540, 26646, 543, 19210, 267, 1500, 1864 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 781, 27642, 713, 2027, 17835, 666, 4990, 543, 30387, 873, 8850, 1759, 593, 3652, 649, 1305, 909, 1107, 3579, 267, 1318, 286, 2334, 779, 1018, 3919, 3330, 513, 667, 5960, 5654, 899, 256, 1284, 666, 6582, 1919, 676, 4266, 267, 1826, 267, 2278, 267, 610, 1022, 824, 7355, 649, 3442, 269, 9578, 267, 649, 666, 1039, 10297, 610, 17161, 630, 10193, 1634, 607, 1412, 5471, 20631, 10807, 547, 4766, 1142, 3561, 267, 1818, 19707, 5488, 543, 1454, 811, 4977, 780, 274, 269, 19457, 281, 7053, 267, 2899, 938, 2326, 616, 9108, 512, 26786, 2476, 543, 1134, 268, 23457, 267, 621, 781, 942, 547, 12840, 609, 1866, 256, 2060, 1175, 513, 1906, 30390, 1369, 519, 667, 5960, 267, 649, 666, 16436, 15032, 267, 3610, 267, 610, 3237, 547, 2070, 267, 12575, 267, 610, 4647, 8726, 789, 991, 269, 717, 821, 616, 519, 2395, 540, 8429, 18292, 11479, 1472, 610, 11488, 1804, 4757, 27589, 269, 18421, 4523, 14678, 543, 16900, 3330, 519, 1062, 3294, 780, 2080, 781, 606, 1383, 540, 875, 596, 1522, 946, 513, 667, 5960, 693, 1153, 1384, 265, 2659, 4116, 12134, 596, 547, 1711, 513, 2110, 3381, 827, 707, 5172, 1433, 1915, 585, 513, 1893, 6575, 7084, 563, 265, 1411, 2328, 513, 7097, 267, 2721, 930, 12383, 267, 543, 1287, 4670, 3054, 9117, 856, 1114, 10207, 1210, 707, 6049, 563, 265, 8921, 267, 596, 4688, 1142, 6221, 883, 707, 667, 5960, 267, 4946, 16776, 899, 968, 331, 4833, 6575, 2223, 968, 341, 8721, 1788, 2223, 543, 968, 30726, 17250, 3034, 265, 3973, 267, 596, 16436, 707, 4116, 547, 2689, 707, 3356, 543, 1683, 5955, 2047, 1369, 519, 1062, 563, 265, 4495, 9516, 267, 596, 2671, 519, 3803, 4528, 609, 707, 3003, 1362, 865, 789, 666, 2972, 8384, 621, 1932, 2439, 2026, 596, 666, 1294, 267, 2348, 513, 6325, 11657, 5004, 3590, 2306, 12180, 1153, 1740, 4443, 543, 811, 3608, 269, 3143, 3476, 786, 596, 3653, 10475, 942, 3843, 547, 12398, 4503, 6119, 610, 20468, 827, 30534, 547, 2671, 1271, 1344, 269, 5502, 267, 1445, 593, 1565, 1007, 1919, 267, 1373, 3860, 267, 543, 2348, 1187, 1247, 9363, 6896, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 2221, 781, 3059, 2085, 267, 3906, 616, 10451, 543, 7213, 6819, 513, 5318, 2179, 540, 3059, 7221, 269, 3245, 2592, 543, 7044, 547, 6054, 543, 14245, 267, 891, 7221, 1404, 513, 2629, 1909, 538, 7393, 6216, 3961, 267, 14123, 5698, 267, 543, 5885, 6725, 3646, 269, 1717, 267, 5883, 891, 3059, 7221, 666, 3533, 1831, 11566, 1510, 513, 1697, 1062, 538, 1747, 269, 901, 568, 1141, 513, 7347, 3059, 10697, 2359, 630, 291, 4456, 264, 1062, 2501, 883, 1404, 269, 4197, 7913, 2667, 564, 5004, 7913, 10697, 2359, 267, 1419, 28484, 607, 667, 4456, 267, 1599, 607, 513, 21438, 1062, 602, 2636, 3906, 547, 4558, 267, 10891, 267, 543, 23074, 3059, 7221, 18172, 269, 901, 1062, 6411, 607, 513, 21438, 23789, 1141, 7221, 666, 581, 3362, 15600, 543, 7856, 547, 1585, 13623, 610, 5007, 8639, 269, 898, 3322, 13936, 6119, 543, 27034, 267, 7175, 2653, 23023, 540, 7221, 267, 543, 14123, 5698, 1063, 6887, 269, 6206, 22020, 540, 513, 7913, 2667, 564, 5004, 3590, 6787, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 17805, 5004, 7010, 257, 607, 851, 540, 834, 28035, 1315, 6355, 1299, 8605, 2032, 12229, 1315, 8433, 2672, 2572, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 692, 1103, 713, 3992, 1053, 946, 7622, 3688, 267, 543, 9162, 267, 10175, 570, 28310, 1677, 903, 267, 547, 1628, 15333, 6877, 602, 666, 1118, 513, 3440, 1847, 538, 1931, 547, 5734, 513, 3077, 269, 901, 568, 513, 1187, 1259, 547, 3142, 856, 519, 23266, 538, 1169, 2875, 780, 8967, 944, 13787, 518, 692, 1607, 3992, 12857, 1053, 547, 519, 2856, 540, 1648, 269, 1358, 1451, 519, 8847, 585, 1648, 267, 1761, 1648, 267, 543, 15452, 1648, 269, 1358, 1685, 606, 4603, 602, 2337, 4396, 1518, 891, 2035, 780, 22025, 1113, 6052, 692, 10743, 2263, 519, 1198, 540, 1114, 2188, 593, 1761, 1648, 269, 1358, 8495, 875, 4463, 543, 2597, 5540, 1761, 1648, 269, 1635, 7900, 6901, 267, 1053, 6218, 713, 2856, 780, 297, 3317, 11717, 16429, 1088 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 2262, 4289, 4756, 865, 602, 621, 666, 581, 15600, 689, 9170, 454, 258, 538, 519, 1982, 454, 5320, 4289, 815, 4452, 318, 6919, 10797, 258, 707, 3009, 5956, 1934, 2439, 258, 1820, 10950, 5048, 454, 2745, 1412, 8702, 547, 519, 3014, 267, 670, 836, 2006, 256, 7055, 339, 13759, 29999, 815, 3442, 29999, 27182, 4289, 994, 2745, 1412, 296, 993, 3206, 540, 513, 2262, 602, 568, 3299, 7003, 6025, 13759, 29999, 1070, 1412, 24393, 1279, 9538, 692, 322, 660, 318, 7666, 652, 815, 1295, 263, 736, 267, 476, 273, 2608, 7003, 6025, 13759, 29999, 4917, 331, 560, 4671, 13759, 815, 18358, 318, 11172, 2608, 7003, 6025, 13759, 29999, 2020, 331, 560, 318, 19989, 815, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 323, 3299, 1412, 324, 3299, 1412, 325, 3299, 1412, 326, 3299, 1412, 327, 3299, 1412, 328, 3299, 1412, 329, 3299, 1412, 330, 3299, 1412, 331, 22779, 825, 1412, 332, 3299, 1412, 333, 3299, 1412, 334, 3299, 1412, 335, 3299, 1412, 336, 3299, 1412, 337, 3299, 1412, 338, 3299, 1412, 339, 3299, 1412, 340, 3299, 1412, 341, 3299, 1412, 342, 3299, 1412, 343, 3299, 1412, 344, 3299, 1412, 345, 262, 6540, 6112, 630, 322, 660, 318, 7666, 652, 3436, 476, 271, 2187, 825, 1948, 1820, 1699, 16823, 1344, 454, 825, 1820, 1412, 315, 333, 1366, 955, 268, 7055, 825, 1820, 1412, 2791, 723, 3299, 524, 660, 318, 7666, 652, 267, 1412, 29674, 525, 2451, 25692, 825, 5022, 815, 1412, 13510, 9005, 5022, 281, 1412, 454, 825, 585, 1775, 538, 2039, 12759, 10857, 560, 318, 19989, 15892, 1038, 5022, 6834, 32102, 318, 19989, 5157, 2639, 825, 1820, 5022, 692, 825, 1948, 16436, 547, 723, 606, 3403, 855, 3970, 547, 835, 1915, 454, 825, 16823, 815, 1412, 7055, 825, 1247, 12759, 263, 7666, 652, 264, 11203, 476, 272, 2187, 1038, 16823, 815, 6151, 17750, 3488, 8923, 7058, 513, 4484, 281, 1412, 2020, 825, 1948, 1820, 519, 5955, 1344, 454, 825, 7866, 815, 1412, 7055, 825, 952, 630, 7666, 652, 538, 3077, 29999, 2187, 1038, 585, 7329, 343, 538, 2039, 12759, 10857, 560, 4671, 13759, 15892, 2018, 952, 630, 339, 13759, 29999, 314, 30915, 316, 2652, 16823, 2187, 3546, 32102, 4671, 13759, 314, 30915, 316, 815, 16823, 454, 1038, 585, 7329, 343, 538, 2039, 12759, 10857, 560, 4671, 13759, 15892, 2018, 7866, 6834, 32102, 4671, 13759, 314, 30915, 2639, 1038, 1820, 1412, 14187, 7058, 281, 3299, 7866, 454, 825, 3116, 281, 3097, 1038, 585, 7329, 343, 538, 2039, 12759, 10857, 560, 4671, 13759, 15892, 2018, 7866, 6834, 32102, 4671, 13759, 314, 30915, 2639, 1038, 1820, 1412, 302, 3591, 256, 2334, 4484, 568, 711, 538, 1250, 2262, 281, 3299, 7866, 692, 825, 1948, 2022, 4393, 585, 1985, 2196, 454, 825, 524, 660, 318, 7666, 652, 20699, 476, 272, 454, 825, 952, 630, 7666, 652, 538, 32102, 318, 19989, 2187, 1038, 32102, 318, 19989, 31927, 263, 7666, 652, 2020, 2745, 1412, 763, 2262, 568, 3299, 3077, 29999, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 9041, 265, 318, 8848, 281, 30016, 268, 279, 20609, 318, 692, 258, 11644, 476, 1015, 269, 274, 3097, 258, 3503, 513, 1982, 602, 14509, 513, 3758, 543, 16493, 519, 5022, 538, 13302, 454, 258, 1931, 540, 4908, 269, 2659, 1982, 1058, 6460, 782, 519, 3403, 547, 2539, 3097, 258, 2013, 543, 1152, 1293, 519, 5022, 513, 22271, 269, 2659, 1982, 1058, 711, 1293, 3097, 258, 5624, 267, 9704, 267, 18685, 610, 4376, 824, 982, 519, 5022, 513, 22271, 269, 3097, 258, 4855, 1257, 5439, 689, 1896, 1114, 4654, 543, 1294, 875, 4484, 3097, 258, 4908, 9775, 1063, 4654, 269, 14424, 707, 2164, 609, 519, 7515, 3097, 258, 693, 28957, 3820, 28293, 270, 4131, 614, 6958, 7528, 4293, 780, 325, 4067, 815, 6151, 17750, 2891, 11767, 513, 3758, 2012, 281, 834, 2020, 339, 787, 912, 825, 535, 8518, 548, 815, 1930, 6600, 4067, 994, 21955, 594, 302, 13286, 607, 552, 912, 825, 1820, 834, 22473, 18438, 2715, 271, 348, 281, 2715, 272, 348, 2668, 8971, 16216, 269, 20482, 7224, 267, 552, 14714, 17243, 2928, 994, 825, 14827, 10797, 12072, 18380, 815, 9598, 4590, 1721, 1899, 538, 535, 8518, 548, 912, 825, 1899, 31573, 4590, 825, 585, 4484, 538, 1899, 912, 1038, 952, 16733, 12072, 13843, 1412, 320, 262, 3738, 543, 630, 12072, 314, 271, 316, 10922, 1412, 345, 10807, 2187, 2018, 4484, 18380, 314, 12072, 316, 815, 4484, 18380, 10947, 263, 12072, 267, 476, 271, 264, 1341, 476, 272, 692, 12072, 9078, 560, 815, 1592, 4590, 1206, 636, 815, 476, 271, 454, 1721, 630, 4486, 267, 1130, 264, 538, 4484, 18380, 29096, 10031, 825, 4484, 9078, 560, 6910, 9230, 1998, 267, 1883, 4917, 825, 512, 8999, 6834, 476, 1130, 692, 2745, 834, 11764, 815, 14307, 512, 8999, 692, 12072, 6958, 516, 336, 4671, 1575, 815, 24042, 4590, 1721, 630, 4486, 267, 1130, 264, 538, 4484, 18380, 29096, 10031, 825, 4484, 6958, 516, 336, 4671, 1575, 815, 4484, 6958, 516, 336, 4671, 1575, 1341, 16733, 4486, 267, 1130, 267, 10581, 263, 1998, 8358, 15615, 263, 1206, 636, 24270, 2020, 338, 4135, 318, 12072, 4671, 1575, 815, 15044, 263, 12072, 6958, 516, 336, 4671, 1575, 2020, 1721, 524, 660, 538, 2039, 12759, 4433, 4135, 318, 12072, 4671, 1575, 15892, 825, 1820, 834, 476, 14307, 521, 4135, 318, 12072, 4671, 1575, 314, 322, 660, 6012, 271, 3910, 1065, 337, 4433, 4135, 318, 12072, 4671, 1575, 314, 322, 660, 6012, 272, 316, 1040, 337, 3286, 263, 1015, 1070, 26444, 1038, 27719, 339, 2580, 1065, 337, 4433, 4135, 318, 12072, 4671, 1575, 314, 322, 660, 6012, 273, 316, 1040, 331, 3286, 263, 1321, 9239, 0, 310, 16704, 14662, 3036, 2464, 454, 1012, 3009, 454, 3698, 1205, 17504, 30360, 27182, 267, 562, 2187, 825, 6060, 815, 2040, 22829, 10135, 5723, 25770, 318, 4041, 307, 9898, 318, 309, 3201, 308, 2464, 5157, 316, 585, 1775, 538, 2262, 31573, 28829, 2608, 7003, 27182, 994, 825, 2132, 6060, 952, 7003, 27182, 264, 11203, 562, 3116, 6060, 266, 2004, 27030, 14701, 3201, 5058, 23166, 670, 3198, 9169, 454, 1012, 3009, 3097, 3698, 9337, 21652, 263, 8518, 267, 2262, 2187, 825, 1688, 272, 815, 1688, 6983, 4878, 4590, 825, 585, 1775, 538, 2262, 912, 1038, 1688, 272, 5157, 316, 20699, 476, 272, 952, 1775, 538, 1688, 272, 3116, 7183, 454, 825, 2132, 1688, 272, 1038, 454, 309, 3201, 2839, 20796, 9169, 454, 1012, 3009, 3097, 3698, 568, 11749, 573, 17504, 27182, 267, 1688, 267, 2262, 8266, 2187, 825, 952, 2262, 2525, 3269, 610, 2262, 711, 538, 2262, 8266, 912, 1038, 2132, 8771, 454, 825, 1688, 272, 815, 1688, 6983, 4878, 4590, 825, 585, 1775, 538, 2262, 912, 1038, 952, 1688, 272, 10947, 9217, 267, 271, 264, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 2018, 2736, 454, 1038, 3116, 912, 2018, 1688, 272, 5157, 316, 20699, 476, 272, 454, 825, 3116, 912, 1038, 2132, 6936, 454, 295, 13263, 700, 2894, 294, 8025, 454, 1012, 3009, 454, 3698, 5173, 21652, 6352, 263, 8518, 2187, 825, 2132, 2040, 263, 8518, 5157, 316, 585, 1775, 538, 1688, 264, 1363, 3097, 303, 6369, 312, 5058, 589, 670, 13263, 454, 1012, 3009, 454, 3698, 1404, 21652, 263, 8518, 267, 2262, 8266, 267, 562, 2187, 825, 6060, 815, 476, 271, 454, 825, 1247, 5173, 21652, 6352, 263, 8518, 25631, 284, 271, 912, 1038, 1820, 834, 14483, 7435, 281, 14307, 4159, 21652, 263, 8518, 994, 1038, 2262, 815, 6151, 17750, 2891, 11767, 2262, 267, 610, 513, 1422, 2668, 315, 257, 547, 5815, 602, 596, 616, 8737, 281, 19515, 1038, 952, 2262, 2652, 834, 1701, 912, 2018, 1820, 834, 14187, 25742, 256, 11192, 6060, 281, 834, 1341, 1193, 263, 16557, 264, 1341, 834, 2798, 4799, 2018, 2736, 454, 1038, 8640, 568, 11749, 573, 17504, 27182, 267, 1688, 267, 2262, 8266, 264, 568, 8771, 912, 2018, 1820, 834, 1103, 20777, 2262, 267, 5225, 2119, 1586, 26142, 333, 4840, 1038, 3116, 912, 2018, 31575, 815, 1205, 17504, 30360, 27182, 267, 562, 994, 2018, 6060, 6834, 31575, 454, 2018, 1688, 815, 9337, 21652, 263, 8518, 267, 2262, 994, 2018, 1820, 27719, 3269, 1341, 1193, 27182, 264, 1341, 27719, 257, 12236, 834, 1341, 1193, 6025, 5404, 264, 1341, 834, 2798, 269, 11192, 281, 834, 1341, 1193, 263, 16557, 264, 1341, 834, 2798, 14826, 4840, 825, 3116, 912, 1038, 1820, 834, 305, 684, 856, 540, 5022, 269, 11192, 6060, 281, 834, 1341, 1193, 263, 16557, 264, 1341, 834, 2798, 4799, 303, 6369, 312, 5058, 589, 717, 28719, 454, 1012, 3009, 8931, 3698, 1404, 29228, 27182, 8266, 2187, 825, 9206, 815, 476, 271, 454, 825, 538, 335, 815, 834, 5016, 825, 1247, 538, 335, 256, 6889, 324, 13426, 1038, 538, 335, 815, 6151, 17750, 2891, 11767, 562, 547, 4308, 513, 1007, 1688, 267, 678, 547, 556, 2452, 519, 2063, 1688, 267, 610, 552, 547, 1439, 3014, 281, 19515, 1038, 952, 538, 335, 2652, 834, 337, 13426, 2018, 952, 9206, 2652, 476, 271, 912, 3546, 1820, 834, 2791, 723, 711, 5129, 513, 1688, 2943, 269, 7490, 1404, 513, 1007, 1688, 1101, 256, 315, 333, 4840, 2018, 3116, 912, 3546, 1404, 21652, 263, 8518, 267, 2262, 8266, 267, 670, 13263, 318, 10485, 30438, 994, 1038, 8640, 538, 335, 2652, 834, 333, 13426, 2018, 1688, 815, 4308, 21652, 263, 295, 13263, 318, 10485, 30438, 994, 2018, 1404, 21652, 263, 8518, 267, 2262, 8266, 267, 670, 13263, 318, 10485, 30438, 994, 2018, 9206, 815, 476, 272, 454, 1038, 8640, 538, 335, 11203, 834, 324, 13426, 2018, 1820, 834, 1103, 20777, 4971, 1701, 1038, 454, 23490, 7473, 2207, 8863, 302, 5308, 2464, 589, 654, 16704, 454, 1012, 3009, 3097, 3698, 735, 16521, 17504, 263, 8518, 267, 2262, 8266, 267, 562, 2187, 825, 3193, 9928, 815, 476, 271, 454, 825, 556, 336, 17504, 815, 7183, 454, 825, 585, 2262, 538, 2262, 8266, 912, 1038, 952, 568, 11749, 573, 17504, 27182, 267, 1688, 267, 2262, 8266, 2187, 2018, 31575, 815, 1205, 17504, 30360, 27182, 267, 562, 994, 2018, 952, 31575, 3436, 3193, 9928, 912, 3546, 3193, 9928, 815, 31575, 454, 3546, 556, 336, 17504, 815, 2262, 454, 825, 2132, 556, 336, 17504, 672, 3097, 23490, 7473, 2207, 623, 6369, 22076, 589, 670, 13263, 454, 1012, 3009, 3097, 3698, 735, 16521, 17504, 263, 8518, 267, 2262, 8266, 267, 562, 2187, 825, 3193, 9928, 815, 476, 271, 454, 825, 556, 336, 17504, 815, 7183, 454, 825, 585, 2262, 538, 2262, 8266, 912, 1038, 952, 568, 11749, 573, 17504, 27182, 267, 1688, 267, 2262, 8266, 2187, 2018, 31575, 815, 1205, 17504, 30360, 27182, 267, 562, 994, 2018, 952, 31575, 3436, 3193, 9928, 912, 3546, 3193, 9928, 815, 31575, 454, 3546, 556, 336, 17504, 815, 2262, 454, 825, 2132, 556, 336, 17504, 692, 3698, 735, 25440, 21652, 263, 8518, 267, 2262, 8266, 267, 562, 2187, 825, 2262, 815, 834, 4840, 825, 6060, 815, 476, 271, 454, 825, 1247, 2262, 11203, 7183, 543, 5173, 21652, 6352, 263, 8518, 264, 11203, 476, 271, 912, 1038, 1820, 834, 14483, 7435, 24333, 3097, 1038, 4159, 21652, 263, 8518, 994, 1038, 2262, 815, 735, 16521, 17504, 263, 8518, 267, 2262, 8266, 267, 562, 994, 1038, 952, 2262, 11203, 7183, 912, 2018, 31575, 815, 1205, 17504, 30360, 27182, 267, 562, 994, 2018, 6060, 6834, 31575, 454, 2018, 1688, 815, 9337, 21652, 263, 8518, 267, 2262, 994, 2018, 1820, 27719, 3269, 1341, 1193, 27182, 264, 1341, 27719, 257, 12236, 834, 1341, 1193, 6025, 5404, 264, 1341, 834, 2798, 269, 11192, 281, 834, 1341, 1193, 263, 16557, 264, 1341, 834, 2798, 14826, 4840, 825, 3116, 912, 1038, 1820, 834, 13707, 6060, 281, 834, 1341, 1193, 263, 16557, 264, 1341, 834, 2798, 4799, 24168, 6730, 22400, 19766, 7473, 2207, 454, 1012, 3009, 825, 454, 3698, 721, 337, 15253, 263, 8518, 267, 2262, 8266, 2187, 825, 538, 335, 815, 7183, 454, 825, 1247, 538, 335, 11203, 834, 340, 257, 543, 538, 335, 11203, 834, 322, 13426, 1038, 538, 335, 815, 6151, 17750, 19629, 333, 11767, 579, 547, 723, 3054, 1404, 267, 524, 547, 723, 519, 2780, 1404, 281, 19515, 1038, 952, 538, 335, 2652, 834, 340, 13426, 2018, 1404, 21652, 263, 8518, 267, 2262, 8266, 267, 670, 13263, 318, 10485, 30438, 994, 1038, 8640, 538, 335, 2652, 834, 322, 13426, 2018, 735, 25440, 21652, 263, 8518, 267, 2262, 8266, 267, 670, 13263, 318, 10485, 30438, 994, 1038, 3116, 912, 2018, 1820, 834, 1103, 20777, 4971, 26142, 333, 5016, 3698, 1404, 29228, 27182, 8266, 2187, 825, 538, 335, 815, 7183, 454, 825, 9206, 815, 476, 271, 454, 825, 1247, 538, 335, 11203 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3422, 277, 267, 543, 1586, 538, 519, 476, 1960, 272, 13323, 2782, 269, 15647, 5502, 267, 621, 13000, 519, 645, 9590, 5692, 607, 513, 15410, 540, 2011, 22524, 2109, 269, 14689, 901, 11705, 337, 1400, 1689, 814, 7096, 6286, 269, 898, 25848, 999, 875, 2011, 1379, 2965, 1568, 676, 14322, 602, 519, 4170, 547, 12398, 543, 4323, 10546, 4229, 593, 519, 25071, 616, 2147, 547, 1346, 2838, 547, 18549, 4323, 1346, 4229, 676, 954, 18743, 532, 741, 3515, 540, 2792, 269, 901, 20747, 2590, 540, 13485, 814, 3366, 547, 2101, 6959, 267, 607, 2011, 1379, 28466, 543, 12206, 723, 19451, 569, 561, 22981, 519, 7412, 3724, 518, 594, 2011, 22524, 2109, 5859, 538, 3345, 10476, 883, 519, 1482, 7121, 607, 519, 645, 9590, 2011, 16716, 538, 3162, 10476, 269, 8182, 634, 7330, 293, 1058, 32543, 28558, 645, 9590, 883, 922, 14985, 7258, 31909, 607, 1463, 4323, 13485, 6322, 693, 9396, 908, 606, 10546, 781, 4108, 12588, 563, 29310, 267, 519, 27147, 10862, 2016, 547, 2620, 10880, 543, 14985, 267, 799, 896, 11161, 1463, 4323, 267, 27938, 547, 2569, 519, 7145, 540, 772, 2529, 269, 2011, 1379, 269, 634, 1034, 1271, 2609, 538, 31909, 543, 645, 9590, 723, 2141, 1044, 519, 1507, 1297, 540, 3810, 8036, 10986, 812, 940, 519, 8484, 267, 570, 3722, 306, 267, 543, 2666, 28007, 6887, 269, 4256, 7145, 568, 513, 1599, 540, 29286, 543, 7041, 269, 634, 7330, 293, 781, 13283, 585, 10427, 267, 3818, 14337, 8484, 267, 543, 519, 17594, 540, 645, 9590, 689, 14985, 723, 21022, 519, 2179, 540, 942, 543, 2200, 13991, 547, 519, 1646, 543, 5826, 540, 519, 1983, 2556, 547, 4163, 856, 2011, 16716, 538, 2673, 16133, 547, 7874, 10136, 269, 11635, 1227, 267, 519, 6370, 936, 5867, 568, 1447, 1713, 982, 519, 26516, 267, 2034, 19195, 2360, 602, 971, 27147, 3664, 723, 593, 519, 22026, 540, 2011, 920, 9749, 547, 2932, 31909, 543, 645, 9590, 267, 3226, 538, 1489, 540, 24027, 2666, 4229, 269, 634, 1483, 1764, 540, 513, 1847, 689, 589, 268, 1015, 338, 547, 674, 268, 3374, 338, 568, 519, 8920, 1081, 540, 31909, 543, 645, 9590, 1983, 543, 513, 862, 839, 23847, 5786, 538, 772, 2529, 269, 7145, 538, 519, 5207, 3917, 1752, 2011, 13485, 563, 5978, 2034, 1292, 4466, 17767, 519, 31344, 1275, 540, 519, 2011, 1852, 1062, 269, 6270, 513, 1062, 568, 811, 1271, 982, 2348, 7463, 8484, 267, 8596, 267, 543, 8856, 9604, 547, 4497, 10546, 4229, 269, 1452, 9604, 1949, 786, 581, 23696, 8259, 741, 3595, 12741, 666, 581, 20291, 543, 6417, 593, 519, 25071, 543, 7471, 883, 24027, 2666, 4238, 269, 634, 5266, 23696, 1463, 6285, 676, 519, 2136, 2276, 593, 5395, 15487, 4229, 538, 24230, 26785, 538, 476, 1960, 280, 941, 519, 1267, 540, 922, 17418, 270, 684, 342, 3739, 1145, 547, 11753, 772, 2529, 269, 2011, 16716, 609, 519, 4238, 540, 519, 24230, 26785, 8644, 3130, 8136, 269, 14065, 589, 2147, 3668, 540, 5610, 538, 519, 8644, 12505, 3540, 2112, 538, 476, 1001, 272, 11338, 6905, 519, 4655, 585, 3275, 269, 1635, 4334, 267, 519, 2500, 5610, 540, 2011, 543, 2666, 4229, 538, 15787, 538, 476, 1220, 272, 1700, 6349, 1500, 2009, 513, 2656, 543, 23801, 6364, 563, 763, 22449, 540, 519, 772, 2529, 269, 2011, 1852, 1062, 568, 519, 1507, 20017, 516, 540, 8036, 2666, 9666, 619, 267, 2011, 561, 807, 2581, 10492, 267, 24319, 267, 543, 28365, 2011, 27196, 269, 4634, 513, 16434, 1297, 540, 9952, 10986, 267, 6462, 676, 513, 26815, 5827, 7952, 267, 666, 26699, 610, 1256, 5066, 1394, 3677, 20679, 269, 1280, 31909, 543, 645, 9590, 547, 581, 2500, 538, 4207, 2665, 971, 607, 519, 5859, 1996, 519, 9099, 3557, 267, 519, 2136, 2276, 1590, 267, 693, 513, 5934, 267, 11766, 1507, 2338, 540, 2666, 9666, 619, 267, 2011, 561, 807, 2581, 10492, 267, 543, 27196, 269, 14341, 1809, 1256, 1498, 519, 2250, 27552, 1296, 540, 4655, 723, 2813, 513, 7535, 540, 4810, 543, 11727, 10986, 267, 972, 568, 1100, 10018, 602, 519, 2533, 786, 2226, 891, 7207, 269, 1306, 23348, 2887, 543, 519, 11439, 4229, 1590, 2759, 7207, 267, 17531, 29386, 12503, 1369, 543, 1063, 2533, 786, 4043, 547, 25837, 856, 891, 13395, 7207, 538, 3870, 540, 9053, 267, 952, 16609, 267, 5692, 5036, 971, 607, 22524, 2109, 543, 7580, 4323, 269, 4014, 20808, 7463, 10986, 543, 4509, 741, 15334, 543, 812, 940, 2157, 814, 711, 13840, 1044, 513, 1164, 10862, 585, 1022, 540, 519, 2533, 267, 621, 568, 4105, 547, 2011, 1379, 1967, 269, 898, 568, 1419, 519, 3017, 1063, 968, 321, 27172, 909, 4054, 892, 543, 25071, 11802, 563, 763, 1995, 540, 519, 476, 3192, 273, 14914, 5510, 2400, 5267, 602, 7817, 2829, 666, 14710, 1454, 3677, 10546, 4229, 538, 2101, 6671, 12959, 1256, 952, 741, 11439, 4229, 3668, 519, 15334, 540, 2413, 1390, 7060, 269, 5794, 1379, 568, 1152, 2693, 547, 8011, 267, 2705, 267, 952, 519, 2136, 2276, 4108, 814, 519, 14985, 267, 7221, 267, 543, 2866, 547, 2932, 2500, 2673, 2011, 1489, 543, 25071, 2011, 22524, 2109, 269, 901, 568, 1152, 2693, 267, 2705, 267, 952, 513, 19579, 267, 772, 2529, 11607, 14725, 267, 28365, 2011, 1852, 1062, 568, 1459, 281, 2666, 9666, 619, 267, 2011, 561, 807, 2581, 10492, 267, 24319, 267, 4464, 2011, 27196, 267, 543, 519, 2404, 2011, 1852, 5121, 269, 1452, 1507, 543, 9583, 13395, 7207, 949, 581, 519, 1883, 547, 1818, 1507, 20356, 2745, 267, 28007, 13485, 2500, 269, 634, 5826, 540, 891, 2950, 543, 7207, 538, 606, 5736, 540, 8878, 11912, 949, 581, 519, 3017, 1063, 2500, 8878, 543, 519, 12900, 540, 16167, 563, 763, 4589, 1131, 899, 547, 9684, 8585, 548, 623, 1026, 17754, 578, 585, 16627, 540, 3345, 19176, 5931, 282, 23514, 985, 21662, 517, 585, 1569, 547, 519, 18897, 6538, 282, 543, 21388, 7043, 267, 667, 776, 331, 4964, 267, 543, 519, 20822, 2689, 619, 585, 8292, 563, 27144, 589, 269, 623, 1901, 267, 25512, 532, 547, 12736, 281, 5794, 5295, 543, 3213, 2075, 542, 538, 2782, 630, 296, 628, 20403, 267, 715, 28629, 12727, 26658, 2160, 4964, 267, 476, 1960, 277, 5148, 4460, 1849, 617, 325, 601, 614, 267, 634, 7799, 1080, 540, 5794, 5295, 281, 634, 1977, 25512, 532, 540, 3345, 10476, 630, 31690, 11181, 281, 2160, 540, 27228, 4964, 267, 476, 2735, 280, 5148, 15537, 623, 269, 11969, 20462, 267, 5295, 995, 543, 5696, 583, 531, 1284, 777, 976, 281, 29337, 267, 918, 1170, 5424, 267, 543, 519, 14914, 5510, 2400, 630, 23173, 8822, 267, 7136, 12727, 12370, 2160, 4964, 267, 476, 1220, 278, 5148, 543, 21244, 700, 269, 18466, 8633, 267, 634, 18479, 1597, 17963, 540, 8285, 281, 3013, 781, 7831, 10476, 11135, 630, 26596, 12770, 267, 2836, 604, 12727, 7402, 3300, 7734, 267, 476, 1220, 273, 1916, 30875, 918, 1170, 5424, 267, 6519, 5600, 13012, 630, 6124, 3840, 281, 17363, 543, 5576, 13831, 267, 476, 3192, 280, 1070, 533, 269, 476, 9873, 274, 282, 3627, 966, 690, 339, 267, 968, 11854, 3663, 5548, 9121, 547, 5794, 10414, 5948, 2223, 12968, 565, 21343, 267, 16127, 267, 5437, 476, 1428, 267, 476, 3192, 274, 267, 918, 12739, 269, 6187, 268, 23056, 267, 5794, 10414, 19866, 3194, 10837, 630, 28425, 295, 6938, 1070, 7665, 6202, 5794, 10414, 12476, 267, 27293, 267, 17665, 267, 533, 269, 476, 1704, 282, 1849, 617, 325, 601, 614, 267, 634, 7799, 1080, 540, 5794, 5295, 267, 6032, 269, 476, 15757, 1700, 12739, 282, 543, 7917, 589, 269, 623, 1901, 12789, 1421, 968, 10870, 2075, 633, 5794, 5295, 538, 519, 10476, 2782, 2223, 4139, 8232, 267, 5292, 269, 476, 1428, 267, 3143, 269, 476, 273, 630, 293, 718, 476, 1960, 271, 1070, 533, 269, 476, 10755, 563, 763, 11135, 540, 918, 2632, 636, 267, 799, 19141, 602, 540, 1323, 16511, 267, 729, 16934, 689, 713, 2376, 1317, 540, 2230, 10148, 269, 589, 2407, 4901, 540, 519, 918, 2632, 636, 2013, 568, 2139, 693, 15599, 3873, 684, 269, 27771, 338, 269, 2466, 12975, 270, 10932, 19986, 2457, 270, 563, 299, 1329, 6953, 836, 570, 269, 715, 7666, 344, 523, 267, 670, 8457, 328, 781, 2782, 281, 1323, 4139, 3778, 540, 519, 2782, 585, 13458, 538, 10476, 630, 2419, 19125, 10830, 281, 2160, 540, 3345, 10491, 4964, 267, 476, 1001, 273, 1070, 533, 269, 476, 17734, 282, 11969, 20462, 267, 5295, 995, 543, 5696, 583, 531, 1284, 777, 976, 267, 533, 269, 476, 23283, 282, 543, 1684, 534, 670, 8500, 523, 267, 968, 9377, 324, 908, 519, 4892, 281, 674, 18017, 543, 32695, 2223, 538, 634, 24547, 11703, 13571, 1282, 519, 8303, 13669, 802, 593, 10476, 630, 295, 8457, 328, 281, 11632, 304, 294, 267, 476, 1220, 275, 1916, 308, 2529, 269, 5794, 10414, 267, 26308, 5794, 17086, 538, 22388, 5794, 267, 3955, 323, 2109, 267, 543, 19171, 5794, 8081, 267, 5794, 10414, 15015, 476, 272, 1700, 278, 630, 29910, 267, 667, 5861, 12727, 772, 2529, 269, 5794, 10414, 267, 4728, 476, 272, 267, 476, 4198, 275, 1916, 308, 2529, 269, 5794, 10414, 267, 17434, 5794, 8566, 1037, 20491, 267, 570, 716, 673, 5794, 16710, 15015, 476, 4649, 268, 274, 630, 29910, 267, 667, 5861, 12727, 772, 2529, 269, 5794, 10414, 267, 5181, 476, 272, 267, 476, 4198, 278, 1070, 533, 269, 476, 1428, 563, 24404, 8896, 808, 269, 15966, 3530, 9445, 8633, 267, 1548, 19732, 2989, 547, 11135, 7615, 5794, 3955, 323, 2109, 286, 630, 300, 2632, 25081, 281, 5794, 2160, 4964, 267, 476, 1220, 275, 1070, 533, 269, 476, 1428, 282, 543, 772, 2529, 269, 5794, 10414, 267, 22388, 1633, 15051, 267, 5794, 10414, 1684, 551, 9068, 11657, 476, 273, 268, 272, 269, 274, 630, 29910, 267, 667, 5861, 12727, 772, 2529, 269, 5794, 10414, 267, 5181, 476, 1556, 267, 476, 1220, 277, 1070, 533, 269, 476, 1839, 563, 763, 10514, 1899, 568, 1631, 5219, 547, 607, 519, 3595, 1489, 11558, 1899, 563, 2690, 632, 20813, 997, 5406, 519, 772, 2529, 269, 5794, 10414, 543, 13108, 5258, 3345, 10476, 883, 3670, 6810, 1572, 27953, 623, 2931, 269, 27953, 13268, 476, 272, 729, 519, 1034, 7013, 543, 27953, 623, 2931, 476, 276, 543, 476, 277, 519, 1034, 7187, 267, 1985, 547, 519, 4457, 8473, 563, 303, 6680, 5794, 10414, 10361, 18392, 630, 295, 304, 623, 3722, 28425, 1070, 16214, 7797, 585, 519, 715, 309, 301, 5510, 2400, 630, 19688, 1700, 20606, 476, 3192, 273, 1070, 918, 278, 1704, 269, 6860, 268, 280, 267, 19200, 295, 6938, 269, 769, 4873, 476, 3192, 273, 267, 2806, 2449, 729, 12912, 8783, 540, 5234, 540, 519, 8136, 543, 729, 8719, 607, 26914, 13305, 676, 2637, 269, 19291, 595, 269, 1284, 344, 663, 563, 2171, 849, 8947, 519, 1764, 540, 29357, 15963, 4721, 1210, 8097, 8546, 2000, 320, 684, 3481, 267, 1904, 1227, 27424, 267, 5911, 28621, 3660, 4550, 2389, 1678, 28862, 538, 519, 6370, 540, 918, 2632, 636, 269, 1280, 513, 2347, 2272, 540, 713, 2029, 267, 1294, 15599, 3873, 684, 269, 27771, 338, 269, 2466, 12975, 270, 10932, 19986, 2457, 270, 563, 4322, 3769, 589, 268, 275, 338, 267, 589, 268, 277, 338, 267, 589, 268, 278, 338, 267, 674, 268, 275, 338, 267, 674, 268, 1911, 338, 267, 543, 674, 268, 10755, 338, 563, 2171, 777, 976, 3769, 2489, 3483, 543, 8955, 28621, 3660, 23038, 267, 31244, 267, 23040, 531, 332, 267, 543, 12440, 23038, 563, 2690, 1189, 24319, 6964, 1688, 18988, 22795, 547, 3391, 8856, 23038, 12628, 676, 512, 659, 1515, 1996, 24915, 543, 25044, 269, 6423, 670, 304, 1530, 22770, 5794, 10414, 267, 634, 772, 2529, 269, 5794, 2782, 1996, 570, 3471, 267, 2904, 476, 736, 267, 476, 3192, 274, 267, 918, 278, 2412, 269, 271, 6078, 268, 273, 267, 19200, 295, 6938, 267, 533, 269, 13797, 282, 543, 670, 304, 1530, 22770, 5794, 10414, 267, 772, 2529, 269, 5794, 17086, 5288, 269, 519, 476, 9873, 12613, 12197, 25511, 4989, 1700, 21776, 476, 3192, 273, 267, 918, 278, 2412, 269, 271, 6078, 268, 272, 267, 19200, 295, 6938, 267, 533, 269, 13797, 269, 4438, 519, 14914, 5510, 2400, 267, 519, 772, 2529, 269, 5794, 10414, 4080, 476, 4343, 280, 13688, 10032, 543, 1776, 476, 29579, 8697, 676, 8955, 28621, 3660, 10514, 16716, 269, 6423, 670, 304, 1530, 22770, 5794, 10414, 267, 634, 772, 2529, 269, 5794, 2782, 1996, 570, 3471, 267, 533, 269, 476, 2764, 563, 5804, 4728, 476, 4029, 547, 5239, 476, 2537, 267, 476, 3192, 273, 267, 519, 772, 2529, 269, 5794, 10414, 267, 13108, 267, 13149, 17620, 267, 543, 19176 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 18754, 3834, 5255, 3271, 924, 666, 2965, 581, 1336, 538, 10250, 5666, 540, 519, 4761, 1062, 269, 1924, 621, 2965, 3884, 1406, 971, 513, 9983, 602, 4551, 814, 513, 27574, 8878, 7271, 585, 950, 621, 12662, 2566, 593, 922, 5946, 269, 1809, 1175, 1317, 621, 6818, 538, 2470, 3085, 1406, 1611, 596, 1810, 1406, 723, 547, 581, 5393, 6297, 609, 621, 269, 22165, 3107, 922, 32669, 267, 4947, 883, 1463, 3346, 609, 621, 610, 11544, 621, 609, 824, 7738, 6464, 786, 782, 723, 5393, 17672, 267, 952, 711, 24037, 2360, 563, 763, 17618, 10858, 1198, 2306, 621, 960, 1996, 513, 1804, 3099, 540, 17973, 267, 8151, 689, 513, 3099, 540, 4551, 547, 8290, 269, 28563, 778, 568, 4998, 585, 5010, 7738, 3156, 899, 19880, 7738, 1036, 6036, 538, 10506, 610, 1857, 4025, 269, 1280, 713, 2601, 621, 3788, 835, 540, 519, 1655, 21149, 1218, 267, 865, 1279, 607, 1697, 15416, 616, 3144, 950, 1210, 621, 563, 1692, 1924, 777, 3816, 7174, 15168, 916, 454, 3383, 777, 568, 971, 513, 1455, 3364, 649, 946, 602, 693, 930, 1448, 596, 4076, 4440, 4280, 3054, 1946, 621, 1568, 543, 5433, 25064, 585, 711, 6616, 269, 25392, 875, 1279, 621, 814, 1044, 538, 946, 267, 12853, 18387, 1406, 2731, 4957, 1454, 269, 2755, 930, 5820, 723, 4957, 267, 519, 2596, 1523, 814, 2141, 1044, 547, 2973, 7252, 543, 6000, 676, 16107, 922, 2189, 10351, 8165, 3601, 563, 763, 1259, 602, 12853, 24515, 17900, 1522, 711, 581, 1018, 596, 1589, 269, 5502, 540, 11318, 873, 267, 621, 2965, 3274, 18788, 17973, 543, 15920, 873, 1524, 519, 8963, 269, 901, 1797, 1312, 4551, 543, 8290, 269, 634, 1259, 621, 1281, 713, 568, 2965, 676, 17666, 3282, 2476, 689, 707, 2960, 269, 2755, 713, 3282, 568, 4625, 2067, 543, 711, 8209, 796, 1506, 8162, 545, 267, 621, 1281, 1683, 513, 4087, 585, 17973, 547, 6529, 547, 269, 11270, 1227, 11067, 707, 3946, 3217, 1416, 540, 713, 563, 3383, 952, 12853, 1568, 676, 9427, 4551, 267, 1946, 1281, 3025, 2141, 2161, 547, 27125, 609, 561, 8123, 342, 1301, 610, 3905, 1216, 286, 11822, 281, 1317, 621, 779, 811, 6899, 269, 1656, 952, 707, 3946, 616, 6899, 596, 616, 811, 2693, 547, 2097, 6251, 547, 519, 4998, 476, 736, 268, 1789, 2034, 942, 6885, 540, 1688, 11067, 602, 568, 5227, 676, 519, 15509, 269, 634, 15509, 2965, 2306, 513, 1448, 540, 6031, 602, 2837, 3085, 1406, 3100, 547, 1860, 2890, 2041, 8851, 269, 1924, 952, 596, 616, 6899, 11067, 707, 3946, 538, 4411, 1216, 543, 1131, 2864, 711, 946, 909, 1022, 3063, 942, 267, 1216, 543, 5201, 1247, 7996, 585, 519, 31316, 564, 547, 2196, 3636, 267, 972, 568, 4986, 547, 5855, 827, 563, 3383, 952, 519, 6662, 568, 1175, 547, 11547, 17900, 2476, 267, 1946, 711, 1175, 27125, 609, 1216, 888, 4407, 32092, 532, 4805, 949, 723, 930, 6225, 1198, 267, 621, 3085, 1406, 9846, 4894, 17900, 1317, 1216, 666, 1406, 798, 1454, 609, 519, 2067, 3282, 593, 835, 779, 2960, 269, 901, 568, 1141, 12853, 779, 2189, 3114, 3601, 607, 513, 1147, 2399, 656, 2501, 538, 563, 20776, 2399, 1218, 616, 7135, 602, 957, 607, 10827, 2456, 1063, 1079, 6382, 9048, 935, 4290, 762, 8069, 281, 538, 713, 2013, 3282, 543, 1216, 269, 4595, 3282, 543, 1216, 1810, 1406, 3575, 630, 1492, 11041, 593, 707, 3946, 1373, 1100, 9868, 1070, 12853, 5932, 2175, 538, 799, 789, 666, 2965, 12622, 1927, 543, 3976, 581, 18233, 2476, 3927, 676, 4881, 1216, 563, 1692, 7435, 5842, 527, 6500, 3816, 7174, 15168, 916, 454, 2704, 4022, 2861, 18274, 619, 616, 513, 2898, 1114, 1650, 689, 12853, 269, 5502, 540, 11067, 2476, 17900, 267, 789, 26763, 873, 856, 1141, 789, 616, 693, 543, 1287, 18493, 622, 2476, 1510, 513, 10250, 269, 1809, 875, 798, 789, 798, 713, 888, 763, 3119, 3742, 12146, 538, 1688, 24846, 6500, 568, 4568, 281, 2901, 2802, 2643, 4568, 610, 568, 641, 1886, 2643, 4568, 269, 1358, 723, 5594, 1114, 3601, 855, 1312, 6146, 4551, 543, 8290, 538, 519, 1482, 1259, 281, 676, 3954, 520, 1005, 5946, 543, 11476, 538, 519, 17973, 269, 901, 3954, 520, 1005, 1184, 3123, 4540, 7636, 7554, 547, 19586, 543, 1831, 8126, 1194, 909, 538, 1007, 12622, 902, 609, 519, 4568, 3294, 267, 9247, 751, 2130, 6306, 519, 17973, 269, 1656, 952, 621, 14543, 547, 6146, 873, 267, 621, 786, 693, 2547, 2014, 873, 547, 1118, 930, 4057, 3664, 563, 2791, 4076, 4440, 4862, 1004, 2161, 968, 2224, 1688, 24846, 6500, 950, 596, 723, 547, 267, 855, 4986, 20054, 1434, 2025, 12853, 1848, 1809, 1946, 568, 713, 519, 2013, 286, 1772, 12853, 2731, 1732, 982, 1688, 24846, 6500, 286, 898, 7140, 856, 972, 2965, 568, 513, 1434, 2601, 585, 6031, 713, 563, 21652, 24846, 6500, 814, 930, 7687, 538, 1018, 621, 666, 6146, 269, 1703, 616, 930, 5686, 540, 17973, 630, 4067, 569, 968, 684, 523, 975, 539, 892, 8677, 264, 602, 616, 11259, 547, 4568, 2861, 18274, 619, 269, 18641, 267, 519, 16568, 17336, 268, 866, 3644, 602, 568, 4929, 519, 1699, 5046, 268, 866, 6855, 3884, 1406, 835, 540, 891, 543, 4061, 666, 581, 7166, 609, 1688, 24846, 6500, 269, 1809, 952, 596, 1616, 547, 581, 9488, 267, 12853, 568, 1869, 519, 1655, 3903, 269, 898, 849, 814, 519, 3606, 5413, 540, 11067, 2476, 1022, 13897, 1055, 519, 3946, 602, 1223, 6382, 1683, 513, 2922, 10093, 585, 17900, 547, 12404, 856, 563, 3383, 1018, 779, 519, 5377, 1899, 888, 28308, 7738, 1857, 6703, 568, 513, 1114, 1650, 267, 855, 950, 621, 2501, 547, 5329, 707, 3946, 7254, 3202, 267, 621, 779, 7168, 2312, 602, 12853, 568, 519, 1655, 3903, 585, 11067, 707, 3946, 950, 621, 568, 2139, 269, 1809, 2094, 596, 666, 1406, 3142, 4881, 1216, 609, 596, 10876, 596, 979, 267, 1688, 24846, 6500, 666, 581, 7168, 546, 7568, 13561, 269, 0, 6224, 26980, 476, 22145, 6953, 626, 800, 540, 519, 5783, 594, 454, 18907, 476, 1428, 267, 476, 1001, 276, 454, 763, 4098, 540, 519, 14730, 12698, 610, 7216, 19744, 1974, 568, 1767, 547, 2253, 609, 519, 2887, 540, 519, 5375, 4936, 7276, 269, 901, 968, 321, 3754, 1713, 2797, 267, 3909, 267, 543, 1514, 2242, 538, 519, 3864, 2486, 269, 4033, 1271, 2621, 540, 519, 5664, 12698, 3769, 519, 4473, 540, 519, 14466, 2329, 543, 519, 10661, 540, 4077, 12661, 27158, 779, 10504, 1848, 630, 6124, 2006, 264, 634, 3532, 4936, 7276, 729, 8854, 269, 1809, 519, 5939, 729, 711, 269, 898, 1185, 519, 6909, 17979, 540, 1373, 519, 3056, 3196, 538, 2342, 269, 2991, 519, 2887, 540, 519, 4936, 7276, 267, 519, 5939, 2968, 1360, 9565, 538, 2342, 634, 2101, 10764, 1282, 713, 942, 1974, 540, 519, 5664, 12698, 538, 2342, 941, 30871, 543, 8567, 269, 968, 22146, 640, 538, 519, 1647, 6502, 13856, 519, 2729, 540, 1312, 27998, 543, 519, 28665, 269, 16241, 1128, 527, 12781, 1519, 519, 5783, 543, 519, 20708, 625, 2968, 14547, 543, 9565, 2016, 519, 1249, 602, 519, 1533, 21248, 513, 1713, 6578, 585, 3909, 2238, 1848, 630, 6124, 2006, 994, 20751, 519, 2749, 540, 7507, 1310, 519, 2887, 267, 972, 7902, 1079, 968, 6577, 558, 5209, 267, 519, 589, 6929, 779, 543, 519, 19158, 534, 753, 1014, 269, 4746, 538, 519, 4605, 729, 519, 22469, 968, 577, 3420, 2223, 799, 538, 519, 4605, 729, 519, 22469, 968, 577, 3420, 892, 799, 729, 811, 513, 3126, 540, 29966, 7135, 982, 513, 21000, 1588, 1500, 909, 540, 2199, 13039, 269, 634, 31409, 1149, 941, 1869, 1447, 899, 513, 5939, 269, 968, 5445, 3357, 2059, 2663, 543, 11741, 539, 609, 519, 22966, 1206, 538, 9591, 29966, 7135, 782, 936, 2342, 269, 1635, 519, 942, 519, 31557, 7902, 593, 519, 16880, 936, 476, 1911, 271, 971, 5692, 7135, 1185, 3262, 909, 2429, 2342, 1848, 9497, 6110, 268, 8517, 589, 6185, 5602, 290, 20666, 28828, 23950, 7236, 630, 342, 663, 1359, 27685, 1235, 264, 610, 741, 6252, 538, 31409, 710, 1209, 525, 12462, 27716, 4658, 25257, 4371, 519, 6426, 538, 25713, 269, 1306, 851, 540, 741, 12353, 6296, 547, 9015, 2933, 267, 891, 2367, 1131, 2206, 998, 519, 2347, 1433, 540, 25360, 916, 1848, 898, 729, 5097, 789, 945, 13087, 519, 8003, 543, 519, 1379, 543, 519, 18710, 547, 581, 3838, 609, 519, 3046, 8663, 545, 17454, 4149, 1314, 976, 543, 717, 16251, 1848, 9497, 6110, 268, 8517, 589, 6185, 5602, 2005, 568, 3020, 602, 1082, 9490, 630, 16838, 29737, 543, 25384, 264, 9821, 941, 6404, 909, 607, 6281, 2609, 538, 519, 1585, 3029, 540, 8567, 602, 941, 3742, 1282, 519, 1974, 540, 519, 4168, 1436, 540, 2342, 269, 4634, 1498, 519, 5375, 4936, 7276, 543, 595, 3881, 923, 4797, 547, 6370, 1142, 824, 267, 891, 4497, 906, 811, 982, 2693, 8507, 538, 606, 6454, 540, 519, 3838, 13400, 13210, 540, 741, 5132, 269, 1809, 649, 1590, 849, 3314, 519, 3448, 14784, 5189, 676, 519, 32042, 563, 763, 15352, 693, 519, 4098, 540, 713, 10120, 1974, 729, 27068, 594, 519, 4279, 269, 27068, 729, 4535, 547, 513, 14547, 543, 533, 1190, 4936, 1920, 269, 6168, 519, 2085, 540, 13977, 646, 729, 12912, 4683, 840, 2739, 540, 7507, 282, 16172, 26063, 646, 759, 11220, 547, 25058, 5128, 547, 3909, 1568, 269, 2060, 1010, 15110, 5763, 646, 3964, 5722, 20708, 625, 267, 1519, 835, 540, 1010, 1920, 1609, 919, 538, 7507, 267, 799, 646, 9411, 607, 513, 31494, 269, 769, 476, 276, 6507, 267, 646, 2968, 835, 540, 519, 5722, 632, 659, 976, 3743, 585, 28720, 519, 4936, 5783, 269, 5565, 1296, 2663, 646, 2968, 13099, 531, 562, 9629, 334, 547, 31862, 267, 519, 1034, 1713, 931, 983, 7084, 538, 519, 5939, 269, 16270, 13059, 547, 7507, 513, 1906, 1296, 2663, 267, 646, 759, 25390, 1395, 2880, 1272, 855, 538, 476, 276, 3445, 729, 11221, 547, 519, 13099, 2329, 563, 294, 2958, 800, 568, 2523, 1713, 585, 1010, 1909, 538, 2810, 519, 1379, 543, 6392, 540, 519, 13099, 2329, 269, 1261, 16119, 5156, 519, 4936, 28831, 729, 8834, 779, 8471, 5939, 267, 513, 2070, 711, 7608, 538, 930, 2127, 269, 769, 3875, 3235, 27036, 20292, 31713, 646, 7682, 539, 519, 13099, 2329, 779, 29686, 936, 519, 2898, 5939, 269, 3571, 3646, 941, 711, 2141, 3811, 267, 855, 676, 1010, 2669, 519, 6392, 540, 519, 13099, 531, 5604, 1185, 1044, 7494, 8476, 269, 4982, 958, 1713, 729, 27068, 779, 25195, 540, 2797, 6392, 585, 519, 13099, 2329, 269, 7977, 729, 538, 24187, 1813, 547, 519, 7269, 540, 519, 700, 4861, 731, 779, 269, 634, 17169, 538, 31862, 6976, 2370, 646, 539, 547, 7977, 779, 5418, 553, 585, 6351, 267, 543, 27068, 267, 4250, 532, 602, 7507, 1131, 581, 936, 14725, 952, 646, 1705, 711, 1491, 2962, 267, 2968, 7184, 3238, 538, 25559, 532, 519, 700, 4861, 731, 3463, 269, 3571, 3527, 0, 288, 25936, 2759, 529, 21165, 7534, 630, 3722, 290, 264, 568, 513, 4686, 22787, 2960, 8919, 6353, 676, 513, 17122, 610, 3573, 9000, 540, 519, 28603, 529, 267, 546, 1069, 529, 267, 543, 12212, 1016, 12827, 10389, 5160, 269, 634, 3169, 1696, 5735, 540, 589, 6717, 568, 711, 1134, 6956, 282, 2705, 267, 621, 568, 2693, 1813, 547, 15176, 27514, 2960, 1646, 269, 634, 2068, 6799, 607, 22072, 610, 2789, 15087, 543, 666, 2408, 593, 1022, 851, 540, 519, 1560, 267, 4352, 476, 3583, 260, 547, 476, 3445, 260, 540, 15087, 616, 22297, 547, 519, 14584, 540, 519, 21435, 269, 589, 6717, 814, 1044, 9286, 883, 3670, 1016, 18196, 267, 930, 540, 799, 616, 2404, 609, 22787, 17172, 11043, 25102, 27689, 269, 4014, 1034, 15087, 616, 1582, 13463, 2718, 267, 1978, 6753, 543, 4791, 4162, 1058, 5401, 513, 811, 9488, 960, 1575, 547, 5496, 585, 5817, 2571, 5160, 22114, 602, 666, 5732, 581, 1272, 18446, 563, 288, 8760, 585, 589, 6717, 729, 6069, 538, 476, 2735, 277, 267, 799, 568, 1869, 7608, 2221, 267, 543, 4843, 2630, 563, 763, 1696, 5735, 540, 589, 6717, 568, 2693, 12947, 716, 3645, 269, 21834, 543, 608, 18100, 2188, 2693, 1404, 513, 1909, 538, 3384, 15087, 269, 634, 16143, 608, 18100, 3123, 1331, 726, 659, 1581, 1102, 541, 551, 338, 267, 1768, 520, 8328, 6878, 899, 8715, 574, 31152, 267, 12499, 17458, 710, 5563, 267, 8194, 267, 543, 8849, 8546, 12889, 269, 19402, 5063, 267, 1100, 1808, 4719, 3077, 1185, 1044, 4857, 267, 855, 513, 2487, 1353, 4951, 519, 645, 5960, 272, 5444, 547, 1404, 513, 2009, 1909, 269, 589, 6717, 666, 849, 581, 2404, 609, 1896 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9236, 476, 5655, 2182, 2257, 4930, 689, 2037, 9871, 19508, 29953, 27429, 543, 9504, 543, 1336, 602, 9504, 781, 1377, 540, 6111, 14059, 602, 540, 27429, 267, 4352, 13915, 6700, 602, 621, 1522, 711, 723, 535, 1563, 865, 1134, 538, 513, 2147, 1353, 540, 513, 4351, 10386, 540, 782, 4930, 610, 835, 5059, 593, 1514, 2257, 610, 1543, 1190, 1514, 2152, 269, 634, 1739, 1032, 267, 5384, 12139, 7150, 602, 519, 1930, 1673, 3233, 3609, 540, 3850, 4896, 547, 12575, 1185, 1500, 9504, 519, 7887, 543, 519, 1655, 22605, 538, 519, 1158, 267, 729, 513, 15266, 547, 519, 5075, 540, 13343, 3240, 12986, 269, 9504, 814, 1044, 22309, 585, 27109, 11528, 9186, 267, 585, 9306, 513, 7848, 540, 834, 13700, 3578, 338, 267, 3368, 18408, 267, 930, 7301, 3125, 338, 2580, 585, 1373, 1641, 547, 12879, 543, 8095, 538, 11786, 3584, 269, 769, 476, 1001, 278, 267, 9365, 9307, 602, 621, 1131, 948, 3988, 3713, 16995, 3377, 676, 5078, 6402, 547, 9504, 4930, 269, 13334, 9307, 513, 2147, 1544, 538, 476, 1001, 279, 269, 4033, 10319, 2228, 679, 9871, 2664, 553, 941, 13986, 1354, 9504, 267, 855, 9039, 941, 607, 3811, 563, 310, 7364, 3459, 607, 513, 14911, 1788, 585, 715, 1575, 4215, 267, 513, 1863, 2228, 2296, 25082, 22605, 1788, 4171, 4930, 941, 2854, 676, 4966, 543, 12649, 896, 513, 6101, 1184, 269, 898, 729, 8547, 593, 4728, 476, 1220, 271, 267, 896, 519, 9562, 540, 645, 558, 529, 267, 513, 1357, 22045, 2754, 267, 922, 1292, 5515, 941, 645, 558, 529, 16628, 13343, 3240, 12986, 543, 32632, 590, 9734, 267, 9375, 2987, 268, 27815, 585, 715, 1575, 4215, 543, 9504, 269, 715, 1575, 4215, 729, 13931, 896, 922, 1378, 715, 1575, 4215, 7046, 12474, 17821, 267, 855, 1354, 9504, 729, 8547, 267, 715, 1575, 4215, 23564, 547, 519, 717, 26214, 5131, 11657, 566, 17821, 693, 519, 28409, 540, 9400, 853, 718, 2006, 269, 12986, 568, 20295, 609, 10747, 519, 3804, 540, 1818, 513, 15597, 1196, 3386, 22605, 267, 1247, 590, 9734, 568, 20295, 609, 519, 4640, 540, 1210, 513, 530, 5942, 547, 3914, 602, 3804, 269, 2201, 5130, 476, 1015, 267, 476, 1220, 272, 267, 590, 9734, 6069, 593, 519, 715, 1575, 4215, 544, 9430, 1592, 547, 1711, 513, 530, 5942, 607, 513, 834, 12890, 518, 257, 1788, 585, 715, 1575, 4215, 282, 519, 11890, 28957, 2593, 543, 28957, 3820, 941, 10805, 593, 5130, 476, 1321, 267, 476, 1220, 272, 543, 5130, 476, 1724, 267, 476, 1220, 272, 543, 9504, 729, 9250, 593, 5130, 476, 1428, 267, 476, 1220, 272, 267, 607, 513, 2582, 2296, 25082, 7160, 693, 8940, 25769, 2593, 267, 9307, 676, 590, 9734, 593, 519, 715, 1575, 4215, 544, 9430, 1592, 563, 310, 7364, 781, 3609, 540, 834, 928, 23018, 1448, 6361, 268, 1613, 257, 729, 13798, 1881, 538, 922, 1101, 3275, 269, 19227, 267, 972, 941, 1906, 3652, 543, 9504, 13234, 10446, 540, 715, 1575, 4215, 269, 645, 558, 529, 5497, 547, 1118, 9504, 513, 1870, 585, 7443, 269, 9504, 6591, 2038, 20334, 689, 715, 1575, 4215, 267, 6215, 1662, 25346, 2022, 902, 267, 1357, 3406, 2599, 4994, 532, 269, 5678, 21820, 941, 2813, 267, 609, 513, 2698, 540, 476, 14065, 676, 519, 1439, 540, 476, 1220, 275, 269, 715, 1575, 4215, 543, 9504, 17706, 13554, 2394, 519, 5449, 781, 13763, 941, 3144, 1524, 18385, 538, 476, 1220, 274, 267, 922, 1257, 729, 11368, 883, 9504, 282, 519, 2296, 9504, 5293, 519, 1665, 540, 1079, 2929, 4930, 593, 5181, 476, 280, 267, 476, 1220, 278, 267, 1818, 621, 519, 4102, 22605, 19632, 267, 20546, 532, 519, 476, 9610, 279, 962, 784, 548, 15610, 267, 799, 1185, 4371, 519, 2594, 585, 476, 7785, 1296, 269, 595, 1746, 12194, 540, 5010, 10229, 543, 3668, 540, 1852, 538, 9504, 267, 3755, 540, 519, 5053, 9504, 23643, 539, 689, 9504, 547, 1711, 519, 7402, 545, 331, 31638, 8644, 516, 538, 5988, 476, 1220, 273, 282, 891, 7575, 9415, 12986, 547, 14773, 602, 9504, 1131, 711, 4159, 22099, 267, 547, 1689, 9504, 781, 6389, 689, 28957, 2593, 547, 28957, 3820, 563, 15987, 519, 2296, 9504, 6603, 1614, 2929, 4930, 538, 4864, 476, 1220, 280, 267, 519, 2208, 540, 519, 7160, 267, 538, 2474, 540, 519, 2338, 540, 1007, 4930, 543, 540, 20334, 267, 5526, 547, 723, 8445, 539, 1472, 2038, 476, 1220, 278, 269, 15907, 476, 272, 267, 8517, 4930, 941, 3773, 3232, 547, 519, 22605, 538, 476, 1220, 277, 269, 589, 2319, 693, 519, 6022, 334, 1325, 1729, 3194, 4741, 11911, 713, 23646, 540, 2208, 547, 519, 1788, 781, 2810, 608, 12807, 543, 4187, 547, 1689, 269, 11524, 2303, 602, 519, 2208, 568, 24609, 532, 1317, 4930, 602, 1223, 581, 1572, 834, 869, 3620, 4474, 4829, 257, 1765, 9008, 923, 602, 20519, 606, 2376, 1765, 17647, 1044, 2813, 543, 3710, 909, 14916, 269, 769, 5437, 476, 1220, 280, 267, 513, 11001, 693, 519, 1234, 344, 20844, 24883, 2160, 538, 28925, 1336, 602, 519, 2296, 9504, 1185, 4503, 476, 5392, 267, 1822, 15769, 1282, 519, 1101, 1614, 3275, 540, 476, 1220, 280, 282, 519, 9931, 9335, 4750, 11855, 519, 5044, 540, 3652, 4294, 547, 11049, 543, 13882, 1644, 547, 971, 1543, 1851, 519, 4128, 585, 713, 7678, 269, 12986, 31713, 891, 6811, 538, 476, 1220, 280, 267, 27102, 519, 7771, 543, 15819, 519, 12191, 540, 519, 1353, 269, 5565, 1296, 538, 476, 1001, 272, 267, 12986, 17019, 519, 4527, 540, 513, 13581, 7771, 267, 15663, 513, 6175, 689, 834, 320, 2370, 811, 982, 476, 3607, 267, 1822, 5830, 257, 538, 4873, 476, 1001, 271, 547, 476, 3374, 267, 8517, 538, 4873, 476, 1001, 272, 563, 1103, 519, 1482, 5967, 267, 12986, 10645, 519, 1297, 540, 15769, 729, 834, 560, 762, 543, 4264, 2668, 589, 476, 1001, 274, 2376, 11331, 282, 519, 2376, 7000, 454, 21579, 690, 23790, 568, 513, 27397, 7898, 9275, 538, 6341, 690, 527, 807, 267, 538, 8832, 2342, 269, 898, 568, 3006, 5701, 607, 513, 13172, 540, 26403, 1014, 267, 855, 568, 2808, 513, 5094, 1893, 676, 1034, 8059, 1235, 3544, 26403, 807, 267, 922, 6284, 607, 513, 3982, 1893, 568, 2810, 538, 2487, 1296, 267, 28055, 338, 723, 1044, 1500, 547, 3044, 1125, 621, 269, 634, 6341, 690, 23790, 13172, 1058, 711, 581, 11821, 609, 519, 22524, 658, 624, 540, 519, 26403, 1014, 1893, 607, 9275, 538, 519, 667, 1276, 344, 540, 6341, 690, 527, 807, 1354, 26403, 1014, 2968, 513, 2854, 1893, 267, 799, 2919, 883, 835, 540, 519, 1079, 14726, 540, 2854, 26403, 1014, 1031, 538, 519, 9835, 667, 1276, 344, 540, 26403, 807, 1759, 593, 519, 865, 10777, 1647, 13172, 540, 519, 918, 384, 501, 323, 664, 807, 328, 3148, 282, 713, 729, 1572, 519, 6341, 690, 23790, 1893, 269, 901, 15662, 377, 655, 7159, 1014, 1893, 729, 1759, 593, 7262, 589, 4157, 20795, 3279, 23790, 22463, 543, 568, 20775, 547, 1018, 568, 2221, 1572, 519, 6341, 690, 23790, 13172, 282, 519, 6341, 690, 23790, 1893, 6766, 676, 4354, 20897, 267, 12090, 689, 519, 5101, 27397, 1486, 334, 4149, 600, 690, 23790, 13172, 267, 2673, 547, 589, 4157, 20795, 3279, 23790, 22463, 269, 4438, 519, 476, 276, 628, 2540, 267, 1160, 1729, 4149, 600, 690, 527, 2103, 28953, 689, 519, 1970, 4133, 540, 3844, 26403, 807, 267, 2282, 18087, 684, 553, 267, 883, 519, 14878, 903, 320, 543, 808, 19476, 571, 30520, 267, 607, 1134, 607, 883, 519, 6341, 690, 23790, 1164, 4133, 563, 5445, 15849, 23624, 519, 2199, 267, 4354, 20897, 18702, 27397, 5095, 269, 4329, 5087, 267, 789, 15849, 23624, 519, 6805, 267, 12054, 580, 718, 1014, 6340, 9082, 269, 2667, 574, 7976, 540, 4354, 517, 2103, 543, 12054, 580, 718, 2103, 5795, 4332, 547, 519, 1614, 6341, 690, 23790, 1016, 323, 658, 31637, 281, 834, 291, 1735, 514, 1074, 385, 367, 2580, 834, 10673, 514, 1074, 385, 367, 257, 543, 834, 291, 19476, 333, 514, 1074, 385, 367, 1701, 769, 519, 476, 1724, 628, 2540, 267, 15662, 377, 655, 7159, 6359, 320, 2968, 513, 851, 540, 519, 27397, 1476, 539, 3130, 1572, 700, 2884, 340, 9366, 267, 4646, 676, 9650, 13774, 553, 269, 26403, 807, 22482, 519, 5032, 540, 519, 27397, 4262, 689, 519, 700, 643, 20897, 1931, 282, 519, 5032, 2968, 513, 851, 540, 6341, 690, 527, 807, 269, 3245, 519, 476, 1724, 628, 2540, 27477, 267, 6341, 690, 527, 2103, 12306, 1369, 519, 5449, 4354, 20897, 3338, 267, 954, 3405, 3072, 609, 602, 2551, 936, 519, 1985, 1614, 4627, 1296, 282, 519, 4354, 517, 2103, 1185, 513, 5458, 2686, 3310, 2390, 6341, 690, 23790, 543, 26403, 1014, 2528, 267, 855, 789, 941, 15849, 23624, 676, 519, 476, 1626, 628, 2540, 269, 4706, 12955, 1893, 814, 11104, 3585, 6766, 519, 13172, 267, 538, 1880, 13093, 7497, 282, 519, 9998, 12591, 538, 6341, 690, 23790, 1893, 7902, 538, 519, 476, 866, 628, 2540, 269, 6341, 690, 23790, 543, 922, 1016, 323, 658, 31637, 12873, 1082, 2934, 540, 519, 4354, 20897, 1893, 267, 585, 1383, 281, 11097, 2287, 540, 1486, 334, 5174, 5306, 545, 2110, 1775, 11097, 2287, 540, 1486, 334, 5174, 5306, 545, 2110, 579, 1427, 3555, 540, 17487, 501, 538, 7187, 1016, 1673, 658, 31637, 11091, 540, 4639, 27397, 546, 13023, 628, 784, 552, 328, 1100, 512, 262, 546, 262, 5493, 7614, 1436, 547, 17487, 491, 546, 385, 378, 1808, 20750, 529, 267, 899, 524, 13682, 337, 592, 529, 267, 533, 13682, 548, 267, 682, 4345, 3092, 269, 1427, 3555, 540, 2566, 2110, 2287, 540, 10678, 910, 553, 547, 910, 338, 899, 538, 4678, 341, 1014, 543, 6196, 2398, 11701, 607, 1134, 607, 1585, 824, 2934, 711, 7396, 1934, 563, 763, 9998, 12591, 538, 6341, 690, 23790, 1893, 7902, 538, 519, 476, 866, 628, 2540, 269, 634, 6341, 690, 23790, 13172, 568, 1102, 21124, 899, 3044, 26403, 1014, 267, 538, 799, 519, 3347, 1063, 2694, 540, 4633, 543, 741, 5107, 538, 513, 4845, 616, 6829, 676, 3875, 4827, 687, 269, 1703, 616, 1079, 21342, 25469, 538, 6341, 690, 23790, 4534, 24940, 269, 4039, 923, 540, 3140, 6120, 518, 616, 4628, 17255, 1247, 538, 3044, 26403, 1014, 930, 9678, 3029, 2611, 282, 1346, 3029, 616, 8719, 676, 24940, 3283, 538, 6341, 690, 23790, 269, 6341, 690, 23790, 2566, 568, 5985, 855, 1427, 26167, 693, 519, 1439, 540, 1913, 267, 568, 27537, 676, 12334, 20020, 269, 6341, 690, 23790, 814, 513, 7745, 3159, 899, 519, 20636, 4654, 282, 519, 4931, 325, 2716, 540, 3044, 26403, 1014, 568, 8719, 676, 606, 8650, 3159, 538, 6341, 690, 23790, 269, 898, 814, 1614, 18781, 3616, 5014, 269, 715, 1735, 3616, 5014, 616, 1114, 689, 3044, 26403, 1014, 269, 1703, 616, 1152, 1079, 8231, 17788, 725, 269, 2353, 13450, 723, 1459, 267, 2250, 27952, 543, 2104, 512, 5151, 540, 519, 22566, 7099, 543, 16122, 30181, 543, 31208, 1438, 282, 519, 5250, 540, 2250, 27952, 568, 1114, 689, 3044, 26403, 1014, 563, 2467, 616, 1614, 2338, 538, 6341, 690, 23790, 281, 13737, 543, 12242, 269, 32680, 568, 17255, 538, 3044, 26403, 1014, 282, 519, 3791, 1268, 540, 782, 1614, 2338, 568, 1455, 269, 6341, 690, 23790, 607, 519, 3044, 26403, 1014, 814, 513, 3638, 1062, 540, 1300, 328, 1255, 267, 799, 616, 6508, 689, 782, 512, 5151, 609, 3982, 3742, 543, 12809, 3029, 267, 1896, 12908, 1495, 3029, 269, 715, 10494, 543, 824, 3616, 514, 762, 1913, 616, 17379, 538, 5216, 2665, 281, 562, 7631, 894, 267, 546, 894, 267, 15747, 267, 1327, 894, 543, 2192, 894, 282, 519, 9998, 12591, 538, 6341, 690, 23790, 13172, 2408, 538, 519, 476, 866, 628, 2540, 269, 25587, 4589, 1603, 538, 6341, 690, 23790, 281, 8125, 4034, 6652, 1855, 1993, 18442, 4406, 328, 19476, 19063, 543, 1010, 24123, 6648, 968, 289, 597, 25917, 5608, 1101, 9102, 538, 476, 9264, 280, 269, 968, 289, 597, 25917, 892, 2968, 513, 1728, 19282, 540, 26403, 1014, 2875, 32164, 7847, 538, 519, 476, 866, 628, 2540, 269, 17363, 553, 853, 2033, 12858, 25155, 3780, 609, 1010, 4583, 1433, 968, 385, 510, 324, 20795, 384, 501, 338, 32488, 752, 553, 892, 9102, 538, 476, 9264, 280, 269, 17363, 553, 667, 879, 330, 656, 553, 267, 646, 729, 519, 1101, 26403, 1014, 14787, 1603, 538, 26403, 1014, 267, 1010, 4583, 1433, 1107, 968, 289, 19476, 1091, 7354, 990, 384, 501, 338, 700, 2884, 12320, 24926, 17833, 333, 1329, 340, 3352, 2098, 4821, 16951, 340, 892, 729, 9102, 538, 476, 6977, 275, 269, 7763, 773, 329, 639, 4406, 534, 25155, 3780, 543, 835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1404, 513, 454, 332, 1276, 811, 1713, 1909, 607, 2520, 5505, 3136, 547, 3343, 5499, 3408, 2029, 547, 2569, 519, 3408, 454, 7336, 2610, 9946, 616, 4742, 5432, 609, 28810, 1051, 1537, 1239, 543, 6508, 11052, 269, 634, 1239, 16755, 616, 454, 4310, 538, 519, 2038, 5933, 540, 513, 943, 1078, 3408, 1935, 547, 3715, 513, 1732, 1620, 540, 519, 6237, 7293, 454, 3553, 1154, 267, 543, 1450, 519, 1788, 2520, 6048, 547, 11126, 2361, 2861, 3408, 2409, 971, 607, 20381, 543, 17656, 563, 4913, 267, 972, 568, 811, 4316, 585, 3173, 543, 2520, 5505, 547, 4228, 593, 519, 2081, 602, 28810, 1051, 1537, 1239, 666, 454, 25075, 728, 10881, 827, 24232, 1949, 267, 2523, 6456, 610, 834, 4565, 785, 257, 1949, 269, 10886, 1436, 540, 2627, 2837, 454, 1889, 5501, 906, 267, 1646, 540, 1007, 3077, 7777, 26034, 267, 543, 9301, 6237, 3466, 616, 930, 1806, 540, 2127, 454, 3602, 811, 1702, 543, 1995, 786, 1267, 538, 811, 7347, 1239, 7664, 563, 1607, 1957, 6257, 519, 1699, 2817, 16661, 6796, 781, 630, 301, 16703, 264, 1062, 585, 3246, 4365, 25887, 538, 519, 772, 2529, 269, 543, 786, 2689, 875, 519, 4540, 1439, 3562, 15134, 6189, 568, 1373, 11573, 3042, 547, 1683, 1875, 32734, 1430, 25887, 267, 849, 1634, 607, 834, 718, 3620, 1794, 731, 25887, 2580, 547, 519, 2489, 1857, 269, 634, 1957, 1287, 6257, 875, 513, 9371, 1062, 602, 18993, 1080, 4365, 543, 782, 3620, 1794, 731, 25887, 666, 581, 6905, 3842, 5010, 12616, 5121, 543, 10873, 547, 3914, 476, 15150, 2929, 4892, 945, 4163, 1591, 11436, 269, 901, 1935, 3096, 5010, 20389, 26376, 543, 4540, 12616, 19057, 543, 2533, 971, 607, 10374, 11619, 1645, 6796, 630, 306, 5960, 264, 585, 1257, 543, 6932, 5564, 12855, 11619, 1645, 6796, 630, 300, 5960, 264, 7014, 267, 799, 1131, 1450, 585, 6337, 267, 7851, 267, 8301, 543, 3381, 25887, 547, 581, 2366, 547, 1439, 3755, 269, 901, 12616, 13739, 10332, 6765, 6189, 568, 2966, 547, 581, 1930, 543, 547, 9784, 519, 2817, 16661, 6796, 781, 23626, 547, 1831, 606, 834, 257, 9963, 1062, 585, 519, 2489, 1857, 269, 6201, 540, 824, 1857, 543, 4357, 5823, 3156, 602, 2154, 12905, 543, 10995, 7903, 6127, 1210, 713, 10332, 23425, 1935, 616, 849, 2016, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 17389, 454, 273, 269, 17796, 543, 15845, 454, 274, 269, 634, 3689, 9990, 454, 275, 269, 3245, 2441, 547, 4790, 14932, 454, 276, 269, 3245, 3751, 13198, 857, 639, 547, 29733, 2696, 342, 8657, 454, 277, 269, 3245, 5261, 519, 1230, 20960, 528, 547, 8361, 4083, 454, 278, 269, 3245, 9400, 23193, 24711, 547, 11977, 8633, 454, 279, 269, 3776, 3778, 568, 519, 18266, 0, 10481, 2214, 7652, 11106, 8890, 7370, 616, 4867, 5185, 609, 606, 11999, 4320, 540, 11052, 267, 1152, 513, 6824, 540, 799, 666, 581, 9268, 610, 12649, 538, 513, 12905, 10512, 6073, 269, 8950, 2861, 3077, 7020, 3646, 723, 8959, 547, 6556, 519, 3432, 267, 8112, 543, 6111, 540, 519, 1480, 3308, 1062, 269, 13298, 982, 1445, 9003, 593, 5841, 1949, 267, 649, 24370, 1125, 602, 519, 1480, 3308, 1062, 568, 1869, 519, 1655, 3077, 7020, 17102, 4867, 538, 946, 267, 543, 609, 519, 1840, 540, 23798, 2861, 6482, 7207, 621, 666, 20546, 519, 998, 1584, 540, 519, 19448, 3660, 1480, 1896, 19507, 563, 8794, 6850, 775, 13921, 2762, 630, 7417, 294, 1070, 18897, 701, 1696, 620, 283, 338, 1575, 285, 272, 9572, 338, 1575, 285, 4330, 513, 3728, 5365, 538, 519, 2634, 2404, 609, 519, 2038, 7020, 540, 9072, 538, 11979, 11052, 1210, 513, 21826, 5395, 658, 10439, 19809, 630, 11965, 29262, 264, 17565, 269, 901, 4466, 5267, 602, 621, 949, 581, 2009, 547, 1349, 3077, 7020, 6786, 689, 1950, 11052, 538, 1483, 942, 9001, 1875, 29554, 5778, 31850, 8344, 4879, 2645, 563, 2414, 2981, 713, 7613, 883, 513, 12588, 585, 8878, 3156, 267, 519, 16470, 11628, 3194, 18768, 10837, 630, 291, 2752, 5183, 264, 4867, 568, 13384, 1681, 606, 4674, 11331, 11671, 974, 9592, 585, 11106, 8890, 7370, 630, 301, 8656, 1916, 763, 5075, 540, 519, 715, 8656, 1982, 568, 547, 22499, 519, 1259, 602, 19767, 6023, 4987, 11052, 267, 2810, 1312, 519, 998, 1584, 540, 11052, 547, 519, 25566, 543, 2949, 6111, 540, 519, 10526, 269, 21988, 1646, 540, 513, 5778, 6798, 10999, 2861, 3239, 2468, 720, 1062, 786, 5512, 3239, 19767, 547, 5721, 811, 3927, 543, 1184, 11052, 609, 3152, 3432, 543, 8856, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 21795, 607, 19073, 692, 258, 21844, 372, 364, 423, 367, 372, 14602, 377, 422, 372, 364, 454, 258, 17093, 815, 19073, 18667, 32269, 3488, 290, 281, 11138, 5825, 619, 11138, 27165, 11138, 4103, 10628, 11138, 13231, 344, 1790, 3155, 11138, 7611, 275, 11138, 322, 12364, 5334, 272, 27406, 5073, 258, 1820, 29254, 2020, 258, 29030, 500, 487, 424, 488, 353, 425, 480, 369, 454, 258, 17093, 815, 19073, 18667, 32269, 3488, 290, 281, 11138, 5825, 619, 11138, 27165, 11138, 4103, 10628, 11138, 13231, 344, 1790, 3155, 11138, 7611, 275, 11138, 322, 12364, 5334, 272, 27406, 3299, 18178, 4900, 17342, 271, 267, 476, 272, 7481, 258, 1820, 29254, 2020, 258, 29030, 500, 487, 424, 488, 353, 425, 480, 369, 267, 29030, 501, 353, 423, 491, 498, 10563, 481, 507, 423, 508, 369, 454, 258, 17093, 815, 19073, 18667, 32269, 3488, 290, 281, 11138, 5825, 619, 11138, 27165, 11138, 4103, 10628, 11138, 13231, 344, 1790, 3155, 11138, 7611, 275, 11138, 322, 12364, 5334, 272, 27406, 3299, 18178, 4900, 17342, 271, 3910, 20927, 22561, 994, 258, 1820, 29254, 2020, 258, 29030, 501, 353, 423, 491, 498, 10563, 510, 499, 14602, 502, 454, 258, 17093, 815, 19073, 18667, 32269, 3488, 290, 281, 11138, 5825, 619, 11138, 27165, 11138, 4103, 10628, 11138, 13231, 344, 1790, 3155, 11138, 7611, 275, 11138, 322, 12364, 5334, 272, 27406, 3299, 18178, 4900, 17342, 271, 3910, 20927, 284, 9131, 12507, 628, 3299, 476, 1001, 274, 267, 476, 1001, 275, 267, 476, 1001, 276, 7481, 258, 1820, 29254, 2020, 258, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 10563, 375, 361, 423, 509, 376, 10563, 510, 499, 14602, 502, 454, 258, 17093, 815, 19073, 18667, 32269, 3488, 290, 281, 11138, 5825, 619, 11138, 27165, 11138, 4103, 10628, 11138, 13231, 344, 1790, 3155, 11138, 7611, 275, 11138, 322, 12364, 5334, 272, 27406, 3299, 18178, 4900, 17342, 271, 3910, 20927, 284, 9131, 12507, 628, 3299, 476, 1001, 274, 267, 476, 1001, 275, 267, 476, 1001, 276, 3910, 4994, 22674, 17342, 272, 7481, 258, 1820, 29254, 2020, 258, 29030, 488, 373, 32510, 499, 21844, 364, 496, 10563, 373, 502, 425, 503, 502, 454, 258, 17093, 815, 19073, 18667, 32269, 3488, 290, 281, 11138, 5825, 619, 11138, 27165, 11138, 4103, 10628, 11138, 13231, 344, 1790, 3155, 11138, 7611, 275, 11138, 322, 12364, 5334, 272, 27406, 3299, 18178, 4900, 17342, 271, 3910, 20927, 284, 9131, 12507, 628, 3299, 476, 1001, 274, 267, 476, 1001, 275, 267, 476, 1001, 276, 3910, 4994, 22674, 17342, 272, 3910, 14255, 28767, 284, 9131, 297, 3198, 262, 7481, 258, 1820, 29254, 18994, 333, 1638, 29254, 11723, 258, 10563, 489, 353, 424, 488, 369, 10563, 510, 499, 423, 355, 361, 14091, 364, 493, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 10563, 508, 361, 32510, 499, 14602, 502, 454, 258, 17093, 815, 19073, 18667, 32269, 3488, 290, 281, 11138, 5825, 619, 11138, 27165, 11138, 4103, 10628, 11138, 13231, 344, 1790, 3155, 11138, 7611, 275, 11138, 322, 12364, 5334, 272, 27406, 3299, 18178, 4900, 17342, 271, 3910, 20927, 284, 9131, 12507, 628, 3299, 476, 1001, 274, 267, 476, 1001, 275, 267, 476, 1001, 276, 7481, 258, 1820, 29254, 994, 258, 1820, 29254, 28827, 994, 258, 1820, 17338, 29254, 28827, 4917, 258, 1820, 29254, 28827, 269, 11161, 994, 258, 1820, 29254, 28827, 269, 11161, 6745, 565, 626, 15405, 258, 1820, 29254, 269, 1066, 877, 263, 8161, 284, 14433, 1535, 281, 343, 265, 1015, 11723, 4206, 273, 815, 19073, 18667, 32269, 3488, 290, 281, 11138, 5825, 619, 11138, 27165, 11138, 4103, 10628, 11138, 13231, 344, 1790, 3155, 11138, 7611, 275, 11138, 322, 12364, 5334, 273, 27406, 3299, 694, 335, 8782, 282, 3299, 18178, 4900, 17342, 271, 3910, 20927, 22561, 267, 4408, 284, 9131, 301, 1868, 3299, 1412, 14818, 272, 3299, 1412, 14818, 273, 3299, 1412, 14818, 274, 3299, 1412, 29806, 3299, 1412, 22706, 262, 7481, 258, 1820, 29254, 273, 2020, 258, 29030, 493, 487, 422, 371, 510, 10563, 375, 361, 423, 509, 376, 10563, 370, 498, 32174, 478, 454, 258, 1820, 29254, 273, 9131, 22706, 262, 7481, 258, 10563, 375, 361, 423, 509, 376, 14091, 480, 368, 424, 504, 358, 14091, 367, 478, 422, 366, 377, 454, 258, 17093, 273, 9131, 22706, 11172, 815, 17093, 273, 9131, 22706, 262, 4940, 1598, 18622, 2897, 3488, 290, 3299, 1412, 288, 10030, 5073, 258, 1820, 29254, 273, 2020, 258, 29030, 493, 487, 422, 371, 510, 10563, 375, 361, 423, 509, 376, 10563, 370, 498, 32174, 478, 454, 4206, 273, 9131, 13510, 326, 11172, 815, 17093, 273, 314, 9131, 14818, 272, 3299, 1412, 14818, 273, 3299, 1412, 14818, 274, 3299, 1412, 29806, 11172, 4940, 11743, 263, 9471, 284, 272, 994, 258, 1820, 29254, 273, 2020, 258, 476, 17432, 358, 422, 367, 482, 10563, 375, 361, 423, 509, 376, 10563, 370, 498, 32174, 478, 454, 4206, 273, 9131, 11764, 11172, 815, 17093, 273, 314, 9131, 14818, 272, 3299, 1412, 14818, 273, 3299, 1412, 14818, 274, 3299, 1412, 29806, 11172, 4940, 8999, 263, 9471, 284, 272, 994, 2745, 29254, 273, 994, 0, 5814, 21267, 28272, 607, 12301, 692, 258, 4453, 21844, 364, 507, 424, 366, 368, 10563, 481, 507, 424, 482, 365, 454, 14808, 815, 12301, 8807, 2682, 10797, 258, 10563, 482, 506, 423, 372, 490, 10563, 488, 361, 423, 350, 363, 10563, 481, 507, 424, 482, 365, 630, 273, 425, 500, 487, 476, 272, 29306, 368, 994, 1314, 272, 815, 4453, 14491, 5334, 889, 7120, 263, 273, 267, 476, 272, 267, 476, 272, 994, 1314, 273, 815, 4453, 14491, 5334, 889, 7120, 263, 273, 267, 476, 272, 267, 476, 273, 2020, 258, 1535, 424, 370, 499, 10563, 481, 507, 424, 482, 365, 454, 343, 815, 1592, 263, 9792, 263, 271, 267, 476, 1911, 11723, 258, 586, 424, 370, 499, 10563, 481, 507, 424, 482, 365, 454, 344, 815, 1496, 341, 2608, 642, 585, 642, 538, 1535, 6540, 258, 1990, 424, 370, 499, 10563, 481, 507, 424, 482, 365, 454, 345, 815, 1496, 341, 2608, 642, 2608, 476, 273, 585, 642, 538, 1535, 6540, 258, 14091, 507, 376, 14602, 372, 10563, 364, 357, 425, 488, 372, 630, 272, 425, 500, 487, 476, 272, 29306, 368, 994, 1314, 272, 19502, 3287, 267, 586, 267, 1412, 321, 3299, 6003, 8782, 11687, 272, 17210, 258, 3046, 10563, 364, 357, 425, 488, 372, 263, 273, 425, 500, 487, 476, 272, 29306, 368, 994, 1314, 273, 269, 8663, 3287, 267, 1990, 267, 6003, 8782, 11687, 273, 17210, 10823, 269, 5586, 754, 10857, 665, 8782, 21639, 2451, 5073, 10823, 26644, 3488, 11687, 5750, 17210, 10823, 20481, 4590, 0, 5814, 4351, 1477, 258, 7383, 532, 15932, 585, 10451, 4351, 2357, 4192, 1477, 5814, 900, 334, 10202, 1477, 258, 7383, 532, 900, 334, 10202, 585, 8228, 900, 334, 10202, 609, 11792, 572, 613, 1477, 3698, 3014, 310, 514, 263, 4818, 267, 596, 2567, 5897, 825, 952, 735, 2525, 9767, 6769, 1038, 2132, 7183, 5897, 825, 1948, 6744, 585, 782, 7399, 950, 2780, 8359, 12942, 1477, 825, 8640, 735, 2652, 1412, 338, 262, 6769, 1038, 952, 596, 2525, 262, 322, 262, 6769, 2018, 2132, 8771, 1477, 1038, 8640, 596, 2525, 262, 335, 262, 6769, 2018, 2132, 6936, 1477, 24541, 825, 1948, 6744, 585, 782, 7399, 950, 2780, 8359, 7433, 1477, 825, 8640, 735, 2652, 1412, 335, 262, 6769, 1038, 952, 596, 2525, 262, 322, 262, 6769, 2018, 2132, 6936, 1477, 1038, 8640, 596, 2525, 262, 338, 262, 6769, 2018, 2132, 8771, 1477, 24541, 825, 1948, 6744, 585, 782, 7399, 950, 2780, 8359, 2480, 19538, 1477, 825, 8640, 735, 2652, 1412, 322, 262, 6769, 1038, 952, 596, 2525, 262, 335, 262, 6769, 2018, 2132, 8771, 1477, 1038, 8640, 596, 2525, 262, 338, 262, 6769, 2018, 2132, 6936, 5897, 2745, 2891, 15253, 12414, 281, 12942, 4433, 264, 7433, 9638, 264, 610, 2480, 19538, 6262, 264, 8119, 3418, 8681, 5591, 815, 4351, 27110, 263, 272, 267, 476, 274, 264, 21506, 258, 9198, 908, 4351, 1100, 269, 1063, 476, 272, 547, 476, 274, 1477, 604, 28219, 5591, 2652, 476, 272, 6769, 825, 735, 815, 1412, 338, 262, 1477, 19197, 28219, 5591, 2652, 476, 273, 6769, 825, 735, 815, 1412, 335, 262, 1477, 19197, 28219, 5591, 2652, 476, 274, 6769, 825, 735, 815, 1412, 322, 262, 5897, 9767, 815, 3403, 2891, 7312, 12414, 281, 12942, 4433, 264, 7433, 9638, 264, 610, 2480, 19538, 6262, 21663, 315, 333, 14744, 320, 815, 3014, 310, 514, 263, 4818, 267, 596, 10142, 604, 735, 2652, 1412, 338, 262, 6769, 825, 1820, 2891, 20663, 8359, 12942, 14744, 19197, 735, 2652, 1412, 335, 262, 6769, 825, 1820, 2891, 20663, 8359, 7433, 14744, 12828, 6769, 825, 1820, 2891, 20663, 8359, 2480, 19538, 14744, 5897, 604, 596, 2652, 1412, 338, 262, 6769, 825, 1820, 2891, 2791, 8359, 12942, 14744, 19197, 596, 2652, 1412, 335, 262, 6769, 825, 1820, 2891, 2791, 8359, 7433, 14744, 12828, 6769, 825, 1820, 2891, 2791, 8359, 2480, 19538, 257, 10142, 604, 513, 2652, 7183, 6769, 825, 1820, 2891, 763, 3014, 568, 513, 17063, 256, 2580, 1439, 6889, 834, 3418, 825, 1820, 263, 655, 334, 10202, 269, 655, 19390, 1125, 2891, 281, 342, 9722, 318, 2183, 318, 5976, 4671, 784, 826, 281, 8442, 3418, 19197, 513, 6769, 825, 1820, 2891, 2791, 12736, 256, 2580, 1439, 6889, 834, 3418, 825, 1820, 19629, 308, 1822, 272, 293, 280, 3583, 14744, 12828, 6769, 825, 1820, 2891, 2791, 700, 846, 256, 2580, 1439, 6889, 834, 3418, 825, 1820, 263, 655, 334, 10202, 269, 655, 19390, 1125, 2891, 281, 345, 23124, 2173, 1926, 318, 2183, 281, 257, 4297, 21506, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 17683, 281, 30016, 268, 279, 692, 5814, 17408, 788, 344, 1948, 10059, 2517, 326, 603, 889, 2593, 14121, 933, 788, 344, 14121, 933, 788, 344, 454, 5814, 795, 5459, 7531, 258, 23562, 7867, 16286, 22754, 454, 4621, 10179, 318, 4486, 815, 834, 271, 293, 304, 298, 20062, 289, 330, 273, 6798, 306, 304, 4366, 11085, 2568, 31631, 301, 1321, 4840, 4621, 10179, 26000, 4038, 815, 834, 313, 290, 12396, 641, 309, 297, 31343, 311, 303, 326, 335, 305, 743, 341, 322, 302, 276, 17989, 309, 334, 27942, 309, 304, 342, 341, 335, 297, 339, 3066, 336, 313, 17092, 17789, 290, 916, 10844, 338, 301, 298, 4840, 17739, 318, 4486, 815, 834, 280, 2412, 2004, 274, 279, 4391, 14444, 4962, 278, 5400, 280, 5937, 331, 2862, 655, 307, 345, 4343, 300, 329, 327, 17247, 311, 641, 293, 28474, 294, 310, 289, 276, 306, 304, 321, 335, 4932, 4840, 17739, 26000, 4038, 815, 834, 6798, 274, 3633, 289, 310, 289, 277, 341, 279, 289, 10972, 273, 12639, 312, 297, 300, 293, 304, 294, 23077, 343, 300, 1704, 341, 309, 3041, 304, 306, 1626, 301, 277, 305, 309, 15879, 15771, 5016, 454, 3698, 1205, 318, 718, 4671, 933, 1115, 4433, 10547, 12173, 267, 32197, 2187, 825, 23288, 825, 20509, 338, 513, 3593, 781, 476, 27844, 271, 1034, 2487, 17408, 1115, 630, 10946, 269, 4847, 676, 12108, 264, 883, 513, 32227, 3758, 780, 825, 18452, 338, 912, 1038, 5496, 12173, 281, 630, 11415, 264, 3593, 6023, 454, 1038, 32197, 281, 630, 11415, 264, 32227, 32197, 692, 825, 15981, 8931, 825, 1948, 10461, 1125, 1000, 7867, 267, 3355, 1125, 17408, 788, 344, 454, 825, 1313, 327, 815, 17408, 788, 344, 20166, 288, 3578, 21652, 2401, 2891, 271, 293, 304, 298, 20062, 289, 330, 273, 6798, 306, 304, 4366, 11085, 2568, 31631, 301, 1321, 2580, 834, 313, 290, 12396, 641, 309, 297, 31343, 311, 303, 326, 335, 305, 743, 341, 322, 302, 276, 17989, 309, 334, 27942, 309, 304, 342, 341, 335, 297, 339, 3066, 336, 313, 17092, 17789, 290, 916, 10844, 338, 301, 298, 5602, 825, 1313, 327, 15630, 318, 17739, 4671, 7505, 2891, 280, 2412, 2004, 274, 279, 4391, 14444, 4962, 278, 5400, 280, 5937, 331, 2862, 655, 307, 345, 4343, 300, 329, 327, 17247, 311, 641, 293, 28474, 294, 310, 289, 276, 306, 304, 321, 335, 4932, 2580, 26444, 1038, 834, 6798, 274, 3633, 289, 310, 289, 277, 341, 279, 289, 10972, 273, 12639, 312, 297, 300, 293, 304, 294, 23077, 343, 300, 1704, 341, 309, 3041, 304, 306, 1626, 301, 277, 305, 309, 15879, 15771, 5602, 825, 3284, 328, 815, 17408, 788, 344, 269, 4338, 296, 263, 2246, 327, 994, 8931, 825, 1948, 30976, 1125, 513, 1592, 547, 3180, 782, 519, 17408, 788, 344, 570, 933, 1115, 454, 825, 782, 339, 933, 1115, 815, 32582, 8931, 8931, 825, 1948, 24708, 3355, 7662, 585, 1034, 2487, 17408, 1115, 630, 1220, 568, 519, 5021, 4847 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]