Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 0, 291, 1170, 550, 532, 17030, 2456, 543, 519, 22411, 1996, 3703, 20616, 26913, 281, 476, 9264, 274, 268, 4343, 563, 11073, 1467, 540, 1382, 1788, 454, 1607, 5098, 7710, 519, 9295, 1500, 676, 930, 6348, 8410, 845, 626, 28773, 547, 12018, 3703, 1857, 6644, 593, 8474, 1063, 476, 9264, 274, 543, 476, 8146, 279, 563, 8624, 11102, 8128, 543, 1544, 1562, 941, 19035, 602, 891, 28773, 267, 945, 5249, 10838, 519, 24873, 10437, 538, 519, 3703, 10125, 540, 519, 12144, 267, 941, 8069, 540, 519, 3703, 4550, 1606, 18561, 3350, 799, 267, 1079, 5756, 4505, 267, 1185, 6707, 5859, 539, 547, 1439, 519, 10553, 2389, 8565, 269, 1306, 519, 20552, 1235, 685, 1292, 2832, 729, 547, 5150, 519, 22638, 31414, 540, 10437, 267, 519, 1544, 1562, 685, 27421, 540, 519, 28773, 3366, 547, 873, 1373, 30199, 585, 1651, 1746, 1585, 10553, 909, 5142, 902, 563, 4913, 267, 1719, 538, 519, 7130, 540, 519, 28773, 1185, 15398, 3703, 1857, 6644, 593, 7810, 8474, 799, 3366, 547, 31414, 9086, 1373, 5293, 269, 769, 3695, 875, 28773, 6766, 1857, 6644, 267, 519, 5098, 15109, 519, 28773, 685, 2078, 609, 519, 1585, 3703, 543, 7810, 4703, 267, 543, 9607, 971, 2055, 607, 547, 2436, 519, 20552, 1235, 23699, 519, 28773, 685, 2833, 538, 741, 4550, 1606, 18561, 5859, 563, 6767, 2910, 4306, 288, 267, 2506, 23158, 22870, 2714, 328, 267, 22477, 540, 3794, 800, 267, 570, 8986, 540, 10552, 281, 634, 5915, 518, 4673, 32013, 31052, 542, 540, 476, 9264, 274, 267, 630, 6124, 3840, 281, 10228, 2160, 4964, 267, 476, 1960, 275, 1916, 295, 17920, 267, 21965, 267, 6406, 2358, 23527, 281, 5450, 1886, 1961, 543, 2051, 3415, 538, 519, 2296, 22569, 1588, 267, 476, 8146, 271, 268, 5908, 278, 267, 630, 23173, 8822, 281, 2717, 640, 4964, 267, 476, 1220, 278, 1916, 297, 288, 298, 302, 7034, 306, 2177, 267, 853, 643, 267, 2549, 594, 711, 513, 2494, 543, 19656, 286, 3703, 17030, 543, 519, 589, 2513, 819, 540, 519, 32013, 11780, 543, 26913, 538, 4639, 4000, 543, 519, 4639, 28851, 476, 9965, 277, 268, 8146, 279, 267, 630, 308, 653, 338, 8403, 267, 13785, 281, 717, 548, 518, 1575, 267, 31471, 638, 626, 1299, 12070, 8688, 338, 267, 476, 3192, 273, 1916, 21316, 15578, 16703, 267, 717, 601, 1329, 267, 12144, 32013, 4860, 565, 1206, 543, 519, 3703, 589, 2513, 819, 11873, 267, 630, 299, 537, 529, 10005, 3557, 2160, 281, 15506, 517, 22748, 613, 267, 476, 1220, 277, 1916, 303, 3036, 9898, 267, 12448, 267, 15215, 12411, 639, 7276, 286, 3703, 17557, 17030, 2456, 543, 744, 2091, 553, 28841, 267, 476, 10204, 271, 268, 4489, 275, 267, 630, 10048, 17998, 281, 25480, 2160, 4964, 267, 476, 1220, 275, 1916, 307, 7838, 301, 2207, 267, 6307, 267, 6215, 2314, 543, 17030, 2456, 267, 634, 2598, 15759, 1674, 540, 20299, 4618, 32013, 5980, 267, 476, 9965, 278, 268, 8146, 275, 267, 630, 21914, 8725, 267, 25706, 281, 634, 4964, 2160, 540, 519, 4639, 28851, 267, 476, 1960, 279, 1916, 17445, 528, 540, 2090, 454, 7804, 1325, 2581, 3828, 20635, 454, 23178, 29366, 11068, 326, 2917, 0, 1103, 713, 1966, 267, 649, 786, 1265, 519, 2040, 540, 782, 519, 9343, 543, 782, 519, 9587, 14384, 269, 1284, 786, 946, 519, 2040, 3890, 1599, 585, 13844, 519, 2040, 563, 3721, 476, 272, 281, 7383, 11885, 269, 5153, 476, 273, 281, 8073, 513, 11885, 5119, 540, 544, 343, 333, 10155, 269, 5153, 476, 274, 281, 5136, 1555, 519, 2040, 540, 782, 519, 9343, 269, 5153, 476, 275, 281, 5136, 1555, 519, 2040, 540, 782, 519, 9587, 563, 5814, 11885, 607, 5286, 513, 815, 5286, 269, 9795, 3488, 1015, 476, 736, 282, 476, 1789, 476, 2412, 10807, 1820, 2891, 5978, 5119, 281, 1422, 333, 2580, 513, 264, 2040, 15058, 318, 4900, 815, 5286, 27904, 5416, 267, 7852, 815, 476, 271, 264, 1820, 19629, 333, 11764, 540, 782, 519, 9343, 281, 14307, 2040, 15058, 318, 4900, 264, 2040, 15058, 22674, 338, 815, 5286, 27904, 5416, 267, 7852, 815, 476, 272, 264, 1820, 19629, 333, 11764, 540, 782, 519, 9587, 281, 1422, 333, 2580, 2040, 15058, 22674, 338, 994, 5978, 5119, 281, 20886, 1015, 476, 736, 316, 1496, 1789, 476, 2412, 14963, 5681, 540, 782, 519, 9343, 281, 20886, 2412, 476, 2568, 14963, 5681, 540, 782, 519, 9587, 281, 1496, 23378, 763, 5286, 27904, 3890, 1599, 3217, 606, 3606, 5119, 1572, 519, 1412, 9471, 8339, 31196, 3217, 1079, 2418, 269, 23657, 476, 271, 610, 476, 272, 269, 1403, 7852, 284, 271, 267, 621, 6645, 519, 2040, 3890, 1599, 547, 2015, 1152, 519, 9343, 269, 1403, 7852, 815, 476, 272, 267, 621, 6645, 519, 2040, 3890, 1599, 547, 2015, 1152, 519, 9587, 269, 0, 306, 852, 17112, 616, 3622, 1166, 2660, 267, 609, 4130, 17112, 3330, 519, 10540, 338, 269, 5485, 10420, 23628, 264, 723, 6366, 10540, 338, 609, 6094, 6821, 267, 1247, 4006, 26882, 17112, 630, 303, 529, 636, 2893, 643, 636, 15254, 269, 3509, 2937, 7786, 267, 607, 1134, 607, 16793, 267, 1265, 2694, 540, 519, 890, 320, 2371, 607, 8949, 607, 649, 798, 269, 16176, 17112, 630, 10193, 1634, 607, 4457, 890, 320, 10540, 338, 264, 616, 3039, 267, 6366, 267, 543, 1073, 14075, 538, 3337, 609, 6263, 17112, 7298, 998, 519, 3544, 540, 519, 10540, 269, 32254, 344, 3043, 16507, 2208, 3029, 9634, 593, 610, 4625, 25151, 3762, 267, 11710, 543, 10540, 338, 282, 9540, 5180, 10538, 547, 3109, 16507, 3889, 1020, 538, 3043, 1319, 338, 6902, 3212, 320, 5452, 949, 581, 20585, 267, 12457, 6960, 543, 723, 513, 15280, 6492, 282, 12518, 949, 581, 25224, 539, 282, 4107, 1455, 593, 3735, 12630, 610, 3735, 1319, 1005, 2371, 282, 2859, 1344, 593, 5883, 3676, 538, 519, 1753, 10448, 4677, 16176, 17112, 616, 513, 1826, 540, 890, 320, 855, 267, 7429, 519, 1455, 3039, 890, 320, 267, 789, 723, 513, 6366, 11057, 17580, 10540, 543, 1360, 1507, 5452, 269, 2755, 14836, 333, 777, 17112, 616, 2139, 782, 1032, 1279, 267, 789, 616, 1655, 538, 519, 5614, 543, 519, 2887, 269, 16176, 17112, 543, 4006, 25135, 1332, 1454, 899, 4677, 17112, 2443, 593, 17681, 30676, 609, 10347, 4043, 337, 2812, 602, 7703, 4190, 5810, 267, 8151, 689, 3043, 547, 13711, 269, 6145, 824, 22053, 267, 14836, 333, 777, 17112, 616, 513, 1434, 2707, 540, 3940, 630, 2537, 8472, 855, 2270, 1970, 9424, 540, 519, 1898, 11254, 3679, 8715, 542, 710, 269, 21984, 4006, 26882, 17112, 616, 513, 10375, 15165, 596, 666, 1491, 593, 519, 979, 267, 1247, 11273, 4006, 26882, 17112, 723, 513, 3638, 8137, 602, 4422, 1134, 609, 824, 8286, 269, 1879, 890, 320, 2371, 610, 19155, 723, 1044, 13881, 1524, 547, 519, 3037, 267, 22648, 4012, 326, 1824, 610, 2759, 19095, 267, 1312, 12457, 880, 575, 16421, 267, 616, 1419, 519, 27521, 338, 269, 29673, 610, 13489, 1922, 787, 4006, 26882, 17112, 585, 1175, 1614, 3764, 865, 789, 11677, 741, 26546, 1145, 543, 8137, 269, 1411, 666, 9252, 610, 1094, 583, 19902, 519, 13035, 9496, 4388, 269, 7435, 4584, 519, 19481, 29475, 27134, 610, 7952, 19095, 547, 2061, 873, 689, 21400, 9475, 538, 3762, 269, 10965, 777, 17112, 616, 1655, 13881, 6151, 610, 13713, 11273, 267, 971, 607, 538, 13489, 1922, 1845, 610, 2656, 1094, 2373, 269, 3220, 269, 31670, 332, 568, 835, 540, 513, 2824, 1895, 540, 6671, 2564, 7189, 945, 723, 2069, 543, 6791, 538, 6198, 4915, 543, 9422, 2257, 269, 1677, 8396, 873, 267, 20057, 548, 3574, 11849, 1472, 519, 3490, 540, 519, 2371, 269, 590, 1872, 1513, 333, 777, 17112, 941, 2919, 676, 15385, 4457, 6777, 17112, 609, 513, 30354, 7387, 890, 320, 2030, 269, 6182, 2683, 610, 28777, 9269, 1138, 332, 1229, 538, 10538, 544, 1301, 531, 1228, 609, 8949, 10538, 21100, 543, 5743, 6853, 4006, 26882, 17112, 6039, 936, 3687, 1393, 6519, 610, 9466, 7573, 269, 1677, 4894, 873, 267, 32521, 835, 9133, 540, 519, 890, 320, 547, 1205, 3180, 540, 519, 5569, 269, 1684, 596, 1589, 789, 2811, 1869, 15502, 547, 2560, 2422, 6777, 17112, 607, 513, 2427, 8670, 585, 16469, 610, 24991, 610, 538, 25235, 269, 26681, 3644, 666, 581, 23174, 269, 10965, 777, 17112, 616, 1390, 547, 3548, 607, 513, 6653, 267, 29511, 344, 15165, 269, 634, 10540, 338, 616, 9157, 543, 538, 539, 1043, 269, 834, 21841, 17491, 10965, 777, 2437, 834, 306, 13610, 590, 2745, 257, 543, 834, 290, 2444, 611, 807, 2437, 538, 1880, 267, 1397, 811, 3002, 10892, 543, 3476, 7556, 5712, 269, 634, 3043, 15649, 1223, 5815, 8869, 344, 7646, 1168, 269, 8125, 854, 3103, 593, 519, 9207, 1938, 540, 3762, 949, 581, 519, 960, 540, 17178, 21746, 267, 799, 666, 849, 581, 1025, 16556, 609, 5521, 20141, 12853, 610, 10750, 1216, 269, 2060, 17491, 10965, 777, 3212, 553, 596, 1205, 547, 3548, 519, 3003, 10540, 609, 519, 17112, 31314, 3330, 269, 16176, 17112, 666, 581, 13881, 6151, 538, 25235, 543, 12608, 9088, 269, 2290, 7484, 540, 6151, 14836, 333, 777, 17112, 568, 1175, 476, 6078, 8477, 269, 29553, 621, 909, 519, 2786, 2427, 4724, 519, 6565, 1439, 267, 543, 1287, 32521, 621, 1055, 269, 634, 1101, 1129, 540, 17112, 609, 8869, 344, 7646, 1168, 568, 1507, 267, 5180, 267, 17642, 880, 610, 15454, 9634, 593, 519, 1283, 540, 9921, 3762, 269, 17491, 26882, 17112, 616, 4712, 547, 3548, 950, 519, 17112, 3330, 616, 5176, 9921, 543, 519, 10540, 338, 616, 1869, 13035, 543, 30861, 267, 2147, 547, 26882, 10365, 269, 681, 755, 593, 7013, 17112, 1101, 5526, 607, 5835, 532, 543, 27315, 1154, 593, 2539, 3762, 269, 634, 2068, 22264, 543, 5540, 519, 5580, 3762, 269, 32254, 344, 7646, 1168, 540, 17112, 19082, 3533, 543, 949, 3382, 3003, 3762, 543, 11710, 267, 1419, 4929, 519, 16714, 547, 2490, 5835, 610, 6960, 543, 5884, 269, 4595, 519, 4367, 540, 519, 1101, 26882, 890, 320, 267, 834, 306, 13610, 10965, 777, 2437, 922, 18939, 723, 25295, 519, 3312, 538, 11729, 543, 4187, 547, 2068, 269, 634, 11710, 7703, 1507, 26070, 6960, 533, 755, 2737, 543, 949, 723, 3043, 1728, 874, 2801, 10268, 269, 17179, 2025, 890, 320, 30676, 543, 17967, 707, 7031, 269, 1772, 621, 2922, 547, 3548, 4006, 26882, 17112, 950, 789, 723, 1044, 9361, 856, 267, 711, 538, 519, 21067, 267, 585, 476, 2190, 3108, 286, 901, 1419, 2982, 909, 3735, 538, 519, 4005, 855, 1281, 711, 1267, 538, 519, 2530, 540, 519, 2030, 269, 1879, 9475, 538, 32395, 2408, 267, 14353, 519, 890, 320, 649, 5271, 559, 543, 20057, 548, 3574, 11849, 269, 2701, 6585, 513, 645, 6993, 269, 17292, 1055, 7783, 3762, 269, 898, 779, 2147, 547, 519, 8988, 1654, 1456, 543, 521, 7120, 2583, 602, 1990, 1075, 577, 7236, 543, 930, 824, 23601, 723, 269, 28610, 547, 7305, 281, 3212, 320, 19663, 10819, 4534, 24410, 7632, 327, 17415, 267, 2160, 540, 4993, 9457, 12567, 619, 281, 3212, 320, 8566, 8089, 2558, 10118, 269, 3680, 782, 17112, 602, 723, 4158, 9634, 593, 519, 10540, 269, 901, 1920, 2882, 2371, 602, 7703, 10540, 338, 11700, 3151, 15123, 1506, 5452, 269, 20956, 264, 723, 811, 17031, 267, 5394, 3774, 539, 10540, 338, 602, 616, 513, 3787, 5104, 545, 1512, 269, 17491, 26882, 17112, 616, 8949, 543, 2653, 547, 5965, 269, 634, 7387, 3294, 568, 513, 1390, 2707, 540, 8324, 543, 6886, 543, 1281, 711, 991, 547, 581, 6569, 269, 6181, 2541, 10540, 338, 616, 17580, 630, 338, 852, 17112, 267, 14836, 333, 777, 17112, 1070, 1875, 24737, 1043, 630, 810, 344, 28369, 267, 30637, 264, 610, 23987, 585, 741, 17112, 3330, 630, 13582, 17112, 1040, 14755, 8989, 543, 11049, 585, 1896, 1507, 7147, 14786, 267, 3244, 12121, 814, 2854, 585, 834, 30821, 15950, 23910, 18225, 2437, 834, 291, 550, 517, 4653, 18225, 257, 543, 2322, 856, 606, 9441, 20394, 585, 513, 674, 4932, 288, 9744, 269, 769, 519, 2013, 540, 24463, 3644, 267, 7783, 2371, 666, 3132, 17580, 4829, 267, 4352, 519, 2450, 543, 6556, 786, 581, 4389, 269, 16176, 17112, 630, 303, 529, 636, 2893, 643, 636, 15254, 269, 17491, 26882, 17112, 899, 1082, 5388, 666, 581, 11630, 547, 1082, 32277, 625, 630, 514, 4167, 338, 267, 3676, 267, 2686, 267, 2825, 1040, 1975, 29107, 1635, 3687, 1393, 19676, 269, 634, 7524, 267, 26546, 890, 320, 10540, 338, 538, 713, 8670, 616, 513, 8799, 4334, 609, 519, 2571, 1085, 718, 3591, 269, 13560, 344, 7646, 1168, 267, 8869, 344, 7646, 1168, 543, 535, 639, 10740, 530, 2830, 941, 11402, 538, 890, 320, 21212, 8062, 5342, 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 ]
[ 476, 271, 585, 9412, 267, 476, 272, 585, 7433, 267, 610, 476, 273, 585, 2480, 19538, 26142, 333, 5602, 12528, 815, 703, 263, 12528, 2020, 322, 30298, 815, 4351, 27110, 263, 271, 267, 476, 273, 994, 13702, 19571, 815, 476, 271, 454, 17549, 19571, 815, 476, 272, 454, 2675, 19538, 19571, 815, 476, 273, 692, 604, 3593, 2652, 4224, 19571, 543, 524, 30298, 2652, 1957, 19571, 912, 476, 1820, 6600, 257, 346, 13702, 4153, 333, 20663, 8359, 1957, 24097, 333, 346, 17549, 4153, 333, 2791, 6336, 23528, 19197, 3593, 2652, 4224, 19571, 543, 524, 30298, 2652, 23805, 19571, 912, 476, 1820, 6600, 257, 346, 13702, 4153, 333, 20663, 8359, 23805, 24097, 333, 346, 2675, 19538, 4153, 333, 2791, 3094, 32405, 19197, 3593, 2652, 4224, 19571, 543, 524, 30298, 2652, 4224, 19571, 912, 476, 1820, 6600, 257, 346, 13702, 4153, 333, 20663, 8359, 4224, 24097, 333, 346, 13702, 4153, 333, 19352, 23528, 19197, 3593, 2652, 1957, 19571, 543, 524, 30298, 2652, 4224, 19571, 912, 476, 1820, 6600, 257, 346, 17549, 4153, 333, 20663, 8359, 4224, 24097, 333, 346, 13702, 4153, 333, 2791, 3094, 32405, 19197, 3593, 2652, 1957, 19571, 543, 524, 30298, 2652, 23805, 19571, 912, 476, 1820, 6600, 257, 346, 17549, 4153, 333, 20663, 8359, 23805, 24097, 333, 346, 2675, 19538, 4153, 333, 2791, 6336, 23528, 19197, 3593, 2652, 1957, 19571, 543, 524, 30298, 2652, 1957, 19571, 912, 476, 1820, 6600, 257, 346, 17549, 4153, 333, 20663, 8359, 1957, 24097, 333, 346, 17549, 4153, 333, 19352, 23528, 19197, 3593, 2652, 23805, 19571, 543, 524, 30298, 2652, 4224, 19571, 912, 476, 1820, 6600, 257, 346, 2675, 19538, 4153, 333, 20663, 8359, 4224, 24097, 333, 346, 13702, 4153, 333, 2791, 6336, 23528, 19197, 3593, 2652, 23805, 19571, 543, 524, 30298, 2652, 1957, 19571, 912, 476, 1820, 6600, 257, 346, 2675, 19538, 4153, 333, 20663, 8359, 1957, 24097, 333, 346, 17549, 4153, 333, 2791, 3094, 32405, 19197, 3593, 2652, 23805, 19571, 543, 524, 30298, 2652, 23805, 19571, 912, 476, 1820, 6600, 257, 346, 2675, 19538, 4153, 333, 20663, 8359, 23805, 24097, 333, 346, 2675, 19538, 4153, 333, 19352, 23528, 0, 5228, 23094, 1104, 2608, 692, 258, 7994, 513, 13875, 7746, 630, 324, 3052, 269, 5616, 13875, 7746, 264, 543, 1289, 621, 544, 5661, 13996, 454, 332, 5661, 13996, 815, 834, 8243, 339, 335, 269, 12320, 545, 28022, 5016, 258, 8073, 23094, 1572, 7817, 306, 12714, 543, 3715, 513, 27427, 4276, 609, 544, 5661, 13996, 454, 743, 1304, 306, 12714, 815, 23094, 10490, 293, 318, 2562, 4953, 267, 590, 8016, 298, 318, 4306, 3918, 4456, 994, 743, 1304, 306, 12714, 269, 6618, 9230, 332, 5661, 13996, 267, 476, 1839, 11723, 13440, 341, 815, 7817, 306, 12714, 269, 13440, 341, 263, 9083, 275, 1040, 1372, 13892, 4590, 2745, 263, 13440, 341, 994, 604, 973, 341, 11468, 274, 316, 11203, 1412, 13136, 12466, 13537, 3488, 13136, 16253, 711, 4607, 689, 7746, 9538, 2020, 258, 27189, 670, 5085, 302, 4971, 543, 1820, 7746, 3210, 563, 3559, 334, 8333, 663, 815, 1412, 4047, 26183, 7705, 315, 337, 14826, 7055, 743, 1304, 306, 12714, 4732, 754, 263, 3559, 334, 8333, 663, 269, 523, 13892, 15405, 13440, 341, 271, 815, 7817, 306, 12714, 269, 13440, 341, 263, 9083, 275, 1040, 1372, 13892, 4590, 2745, 263, 13440, 341, 271, 994, 604, 973, 341, 271, 11468, 274, 316, 11203, 1412, 7742, 12466, 825, 1820, 3488, 7742, 16253, 711, 4607, 689, 7746, 269, 5073, 8931, 258, 27189, 10790, 6579, 20978, 4971, 543, 1820, 7746, 3210, 563, 21166, 8333, 663, 815, 1412, 7246, 6579, 689, 281, 21514, 529, 337, 287, 12320, 545, 28022, 315, 337, 14826, 7055, 743, 1304, 306, 12714, 4732, 754, 9852, 841, 8333, 663, 269, 523, 13892, 15405, 13440, 341, 272, 815, 7817, 306, 12714, 269, 13440, 341, 263, 9083, 275, 1040, 1372, 13892, 4590, 2745, 263, 13440, 341, 272, 994, 604, 973, 341, 272, 11468, 274, 316, 11203, 1412, 7742, 12466, 825, 1820, 3488, 7742, 16253, 711, 4607, 689, 7746, 9538, 2020, 258, 27189, 25846, 8976, 9215, 4971, 543, 1820, 7746, 3210, 269, 3097, 21683, 696, 8333, 663, 815, 1412, 13612, 8976, 547, 281, 21514, 529, 337, 287, 12320, 545, 28022, 315, 337, 14826, 7055, 743, 1304, 306, 12714, 4732, 754, 16868, 322, 696, 8333, 663, 269, 523, 13892, 15405, 13440, 341, 273, 815, 7817, 306, 12714, 269, 13440, 341, 263, 9083, 275, 1040, 1372, 13892, 4590, 2745, 263, 13440, 341, 273, 994, 604, 973, 341, 273, 11468, 274, 316, 11203, 1412, 7742, 12466, 825, 1820, 3488, 7742, 16253, 711, 4607, 689, 7746, 9538, 2020, 258, 27189, 667, 25353, 4971, 543, 1820, 7746, 3210, 269, 3097, 11907, 8333, 663, 815, 834, 291, 25353, 315, 337, 14826, 4840, 743, 1304, 306, 12714, 4732, 754, 16597, 8333, 663, 269, 523, 13892, 15405, 13440, 341, 274, 815, 7817, 306, 12714, 269, 13440, 341, 263, 9083, 275, 1040, 1372, 13892, 4590, 2745, 263, 13440, 341, 274, 994, 604, 973, 341, 274, 11468, 274, 316, 11203, 1412, 30500, 12466, 825, 1820, 3488, 30500, 16253, 711, 4607, 689, 7746, 9538, 2020, 258, 27189, 5048, 1239, 563, 11907, 28694, 815, 834, 296, 2648, 2780, 5121, 256, 315, 337, 14826, 26142, 337, 14826, 4840, 743, 1304, 306, 12714, 4732, 754, 16597, 28694, 269, 523, 13892, 15405, 13440, 341, 275, 815, 7817, 306, 12714, 269, 13440, 341, 263, 9083, 275, 1040, 1372, 13892, 4590, 2745, 263, 13440, 341, 275, 994, 604, 973, 341, 275, 11468, 274, 316, 11203, 1412, 7742, 12466, 825, 1820, 3488, 7742, 16253, 711, 4607, 689, 7746, 9538, 2020, 258, 27189, 19532, 3951, 4971, 543, 1205, 7746, 3210, 563, 10181, 8333, 663, 815, 834, 12702, 3951, 315, 337, 14826, 4840, 743, 1304, 306, 12714, 4732, 754, 263, 10181, 8333, 663, 269, 523, 13892, 15405, 13440, 341, 276, 815, 7817, 306, 12714, 269, 13440, 341, 263, 9083, 275, 1040, 1372, 13892, 4590, 2745, 263, 13440, 341, 276, 994, 604, 973, 341, 276, 11468, 274, 316, 11203, 1412, 21854, 12466, 825, 1820, 3488, 21854, 16253, 711, 4607, 689, 7746, 269, 5073, 0, 258, 13071, 1404, 670, 836, 2006, 692, 5814, 4351, 607, 28219, 454, 5228, 13793, 2006, 318, 6919, 1104, 2262, 8217, 454, 5228, 13793, 2006, 14067, 1137, 1104, 5933, 267, 13793, 2006, 318, 8421, 334, 692, 331, 1161, 815, 476, 278, 454, 516, 557, 531, 29999, 815, 11713, 12528, 318, 29674, 815, 834, 4840, 531, 2819, 318, 29674, 539, 815, 11713, 754, 15058, 14682, 877, 815, 8771, 454, 5320, 8217, 28747, 815, 7003, 27182, 8217, 994, 577, 4923, 29999, 815, 2262, 8217, 314, 8681, 27110, 263, 271, 267, 2262, 8217, 28747, 910, 476, 272, 22708, 258, 2653, 1259, 281, 476, 6074, 29999, 815, 28219, 26716, 4069, 27182, 8217, 994, 1721, 9041, 538, 6074, 29999, 912, 825, 7866, 29999, 6910, 2891, 318, 15419, 2745, 2891, 299, 1115, 1404, 8627, 5602, 2745, 6600, 257, 346, 28702, 2006, 318, 8421, 334, 348, 1422, 333, 5602, 2745, 6600, 257, 10817, 612, 519, 2262, 281, 476, 2715, 516, 557, 531, 29999, 348, 1422, 333, 15419, 6112, 711, 1439, 15058, 14682, 877, 912, 825, 3593, 318, 29674, 815, 3403, 2891, 10817, 612, 513, 4484, 281, 476, 834, 1040, 12294, 4590, 825, 4484, 18045, 815, 476, 271, 454, 825, 952, 3593, 318, 29674, 711, 538, 2907, 318, 29674, 539, 912, 1038, 2907, 318, 29674, 539, 6910, 263, 12528, 318, 29674, 994, 1038, 585, 2990, 538, 2039, 12759, 263, 577, 4923, 29999, 15892, 2018, 4484, 815, 6074, 29999, 314, 6570, 2639, 2018, 952, 4484, 2652, 3593, 318, 29674, 912, 3546, 7866, 29999, 314, 6570, 316, 815, 4484, 454, 3546, 4484, 18045, 6834, 476, 272, 692, 1038, 952, 4484, 18045, 10922, 476, 271, 912, 2018, 2729, 815, 2729, 910, 476, 272, 454, 2018, 1820, 6600, 257, 331, 1161, 2451, 815, 2715, 331, 1161, 348, 5602, 2018, 1820, 263, 560, 1137, 314, 277, 2000, 1161, 7481, 1038, 1820, 263, 516, 557, 531, 29999, 2020, 1038, 952, 2729, 2652, 476, 271, 912, 2018, 1439, 15058, 14682, 877, 815, 6936, 454, 2018, 1820, 2891, 302, 653, 338, 269, 1411, 10443, 856, 540, 2729, 269, 1411, 4503, 519, 3014, 8627, 5602, 2018, 1820, 6600, 10454, 2953, 2626, 568, 1412, 346, 577, 4923, 29999, 348, 262, 5602, 2018, 1820, 2891, 289, 21392, 9939, 8921, 5384, 8627, 5602, 1038, 952, 834, 318, 257, 711, 538, 7866, 29999, 912, 2018, 1439, 15058, 14682, 877, 815, 6936, 454, 2018, 1820, 2891, 312, 320, 599, 8627, 1411, 31665, 621, 2953, 256, 1411, 616, 513, 16771, 8627, 15419, 825, 3116, 912, 1038, 1820, 6600, 257, 2791, 2907, 31665, 519, 4484, 1412, 346, 12528, 318, 29674, 348, 262, 5602, 1038, 1820, 2891, 10817, 612, 513, 1114, 4484, 8627, 8442, 0, 5992, 2971, 2162, 3776, 4563, 329, 871, 5600, 16390, 476, 10310, 7462, 454, 258, 634, 16064, 568, 19957, 538, 2450, 563, 258, 1703, 616, 1100, 795, 758, 619, 563, 258, 634, 10793, 270, 20075, 523, 270, 21914, 782, 1293, 607, 476, 1015, 563, 258, 634, 519, 589, 576, 666, 1293, 607, 476, 1556, 610, 476, 272, 563, 258, 2422, 519, 1739, 1592, 607, 519, 16064, 540, 6486, 912, 258, 6486, 815, 1496, 1556, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1015, 267, 476, 1015, 267, 476, 1015, 2639, 258, 634, 6486, 538, 519, 1592, 723, 3160, 5506, 540, 1373, 6537, 563, 258, 21998, 616, 711, 6569, 689, 519, 16064, 607, 789, 616, 6537, 563, 258, 634, 2780, 568, 519, 31066, 563, 692, 5814, 4351, 607, 28219, 454, 5228, 536, 329, 318, 8421, 334, 1104, 20446, 692, 10852, 318, 1372, 1188, 815, 1496, 1556, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1015, 267, 476, 1015, 267, 476, 1015, 6540, 454, 3698, 4308, 6831, 731, 263, 1372, 1188, 2187, 825, 585, 9041, 538, 2039, 263, 273, 2187, 1038, 16064, 6910, 263, 8681, 26716, 4069, 9852, 664, 318, 1372, 1188, 4917, 825, 1948, 16064, 6910, 9852, 664, 318, 1372, 1188, 314, 8681, 27110, 263, 271, 267, 476, 1321, 264, 7481, 825, 2132, 16064, 7531, 3698, 2721, 318, 821, 6831, 731, 10031, 825, 2132, 28219, 26716, 4069, 9852, 664, 318, 1372, 1188, 9239, 3698, 5173, 23962, 263, 1372, 1188, 2187, 825, 1948, 2040, 815, 476, 271, 454, 825, 1948, 585, 1775, 538, 2039, 12759, 263, 1372, 1188, 15892, 825, 1948, 672, 2040, 815, 2040, 1341, 16064, 5157, 2639, 825, 952, 2040, 263, 1372, 1188, 264, 2652, 476, 2641, 543, 7003, 263, 1372, 1188, 264, 2652, 476, 273, 912, 1038, 2132, 476, 271, 454, 825, 952, 476, 1556, 538, 16064, 543, 2040, 263, 1372, 1188, 264, 3436, 476, 2641, 912, 1038, 16064, 31927, 263, 1556, 994, 1038, 16064, 6910, 263, 272, 994, 1038, 2132, 2040, 263, 1372, 1188, 994, 825, 2132, 2040, 263, 1372, 1188, 9239, 3698, 5635, 23962, 263, 12528, 23962, 267, 2780, 23962, 2187, 825, 952, 711, 3593, 23962, 3436, 476, 2641, 543, 711, 2780, 23962, 3436, 476, 2641, 543, 3593, 23962, 2652, 2780, 23962, 912, 1038, 2132, 834, 19352, 8627, 4840, 825, 8640, 2780, 23962, 2652, 476, 271, 912, 1038, 2132, 834, 299, 846, 267, 11534, 9426, 814, 3109, 329, 871, 4840, 825, 8640, 3593, 23962, 3436, 476, 2641, 912, 1038, 2132, 834, 2791, 6336, 8627, 11192, 811, 982, 476, 2641, 30882, 825, 8640, 3593, 23962, 2652, 476, 271, 912, 1038, 2132, 834, 310, 514, 269, 1411, 723, 3109, 329, 871, 4840, 825, 8640, 2780, 23962, 3436, 476, 2641, 912, 1038, 2132, 834, 2791, 3094, 269, 11534, 9426, 4682, 936, 476, 2641, 8627, 4840, 825, 8640, 3593, 23962, 3436, 2780, 23962, 912, 1038, 2132, 834, 2791, 12736, 8627, 4840, 825, 3116, 912, 1038, 2132, 834, 2791, 6336, 8627, 5016, 454, 3698, 1404, 318, 18872, 329, 871, 10031, 825, 1820, 263, 8421, 334, 994, 825, 3593, 318, 1372, 1188, 815, 11713, 825, 2780, 318, 1372, 1188, 815, 11713, 825, 568, 14682, 877, 318, 1478, 815, 8771, 454, 825, 1948, 2721, 3556, 585, 3593, 454, 825, 3593, 318, 1372, 1188, 815, 4308, 6831, 731, 263, 12528, 318, 1372, 1188, 994, 825, 1820, 6600, 257, 7312, 1546, 1188, 815, 2715, 12528, 318, 1372, 1188, 348, 15419, 825, 1948, 2721, 3556, 585, 2780, 454, 825, 2780, 318, 1372, 1188, 815, 4308, 6831, 731, 263, 26367, 318, 1372, 1188, 994, 825, 1820, 6600, 257, 31359, 1546, 1188, 815, 1496, 346, 26367, 318, 1372, 1188, 314, 271, 316, 348 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13146, 6201, 540, 20410, 2544, 548, 689, 519, 5680, 454, 295, 984, 9812, 3769, 4730, 519, 20410, 2544, 548, 267, 13549, 4812, 267, 30927, 543, 5186, 3832, 1154, 563, 7468, 10675, 2575, 4245, 616, 2139, 585, 1453, 998, 2937, 538, 13176, 267, 14440, 267, 1094, 343, 25869, 267, 20410, 2544, 548, 267, 3423, 320, 267, 30413, 267, 543, 5639, 563, 302, 32054, 21816, 17621, 19662, 634, 16340, 3118, 8630, 4087, 540, 27258, 1299, 21989, 11833, 338, 540, 25350, 814, 513, 10916, 18638, 543, 568, 5275, 12372, 8348, 547, 960, 609, 3214, 593, 13176, 267, 1883, 15236, 267, 27120, 267, 20410, 2544, 548, 267, 543, 4938, 1023, 563, 310, 718, 325, 27688, 267, 945, 2729, 538, 27201, 1631, 267, 4249, 20410, 2544, 548, 267, 13176, 543, 14440, 563, 763, 20410, 2544, 548, 814, 8719, 519, 2594, 518, 538, 1082, 1857, 1153, 2575, 2069, 3292, 267, 1932, 563, 25567, 320, 781, 20944, 13669, 550, 2736, 719, 5182, 543, 20410, 2544, 548, 4487, 24553, 966, 6387, 310, 320, 531, 3181, 7491, 513, 4832, 344, 267, 909, 18566, 1007, 2582, 563, 24523, 3610, 4951, 1453, 875, 547, 5265, 3180, 543, 1404, 513, 3099, 540, 7405, 267, 1519, 513, 1126, 13355, 30413, 267, 1591, 334, 267, 13176, 267, 20410, 2544, 548, 543, 512, 3711, 712, 710, 543, 1134, 607, 513, 2407, 20695, 1166, 1393, 267, 13691, 267, 25041, 564, 543, 512, 668, 14752, 563, 3528, 713, 942, 267, 540, 1576, 267, 10965, 23697, 1185, 21783, 689, 519, 20410, 2544, 548, 547, 519, 13176, 563, 4322, 1383, 5220, 616, 5697, 8850, 689, 1585, 2228, 3377, 2959, 547, 2992, 1699, 6165, 540, 519, 2262, 1412, 4157, 2544, 548, 9538, 14358, 6829, 538, 519, 1806, 798, 711, 2099, 519, 6644, 540, 8585, 26713, 268, 31812, 610, 922, 15769, 269, 27189, 721, 5955, 563, 27670, 543, 661, 22029, 540, 20410, 2544, 548, 454, 5575, 19612, 2422, 281, 476, 6245, 277, 8450, 9293, 689, 519, 1482, 1032, 454, 20084, 308, 4041, 4041, 4347, 1441, 585, 2296, 5678, 22996, 454, 14240, 540, 20410, 2544, 548, 585, 2296, 5678, 22996, 454, 281, 513, 7574, 6293, 602, 568, 899, 513, 1507, 13176, 609, 2185, 12673, 454, 20084, 308, 4041, 4041, 4347, 1441, 585, 8866, 454, 14240, 540, 20410, 2544, 548, 585, 4841, 454, 14532, 585, 20410, 2544, 548, 454, 5353, 523, 543, 1261, 731, 454, 1432, 1500, 596, 1616, 547, 1413, 909, 20410, 2544, 548, 286, 7490, 2995, 721, 1141, 596, 1224, 610, 4862, 621, 630, 10175, 519, 10839, 267, 952, 2009, 1040, 0, 1607, 568, 513, 1305, 540, 18756, 1565, 2238, 547, 4497, 1053, 538, 4466, 519, 3845, 1063, 11282, 2798, 1210, 519, 25355, 14497, 269, 1703, 616, 1614, 1114, 2157, 540, 2238, 547, 21934, 1245, 1053, 4724, 17117, 563, 1103, 7672, 538, 713, 1587, 454, 4504, 549, 519, 9208, 281, 3689, 21408, 656, 3213, 15453, 21998, 630, 7224, 2258, 2510, 994, 14707, 883, 519, 9208, 281, 2353, 21408, 656, 3213, 15453, 21998, 630, 5976, 2258, 2510, 994, 9743, 15297, 585, 1210, 519, 6486, 585, 1079, 1114, 2238, 454, 22913, 519, 9208, 281, 30540, 519, 2622, 256, 6478, 9046, 454, 10870, 10869, 4804, 5528, 585, 30540, 519, 2622, 9046, 454, 2791, 949, 849, 581, 5461, 538, 2483, 279, 14371, 269, 278, 25355, 14497, 2480, 822, 10152, 15391, 454, 279, 14371, 269, 272, 1315, 476, 279, 14371, 269, 273, 17992, 725, 2480, 822, 10152, 15391, 454, 279, 14371, 269, 274, 3213, 15453, 17992, 725, 2480, 822, 10152, 15391, 454, 279, 12171, 269, 275, 22718, 12793, 31913, 4804, 25143, 548, 0, 10501, 322, 6058, 630, 290, 7838, 264, 568, 519, 2101, 10538, 20119, 540, 29018, 543, 5156, 547, 11851, 6225, 1072, 2360, 538, 519, 16063, 8778, 543, 3875, 824, 8219, 1310, 5711, 6981, 269, 1717, 267, 606, 2810, 1297, 540, 3662, 543, 4791, 2090, 1397, 602, 519, 9830, 540, 595, 7838, 538, 1973, 11919, 267, 10729, 267, 543, 15672, 8031, 267, 952, 693, 782, 3713, 762, 267, 616, 5393, 1970, 1256, 1310, 1804, 13066, 269, 634, 2963, 543, 2009, 4128, 585, 519, 1360, 4057, 11528, 6915, 822, 841, 629, 331, 640, 540, 595, 7838, 1310, 5711, 7245, 616, 5941, 538, 713, 5618, 2689, 269, 11683, 2188, 616, 519, 3114, 16132, 540, 595, 7838, 693, 9243, 543, 5594, 22279, 9063, 267, 922, 18687, 547, 1313, 2135, 9179, 267, 922, 28048, 1487, 21063, 543, 17788, 894, 10307, 267, 543, 922, 4057, 15449, 566, 689, 519, 15499, 561, 18210, 547, 519, 22045, 1973, 269, 769, 2070, 540, 519, 1360, 1970, 15499, 6915, 822, 841, 629, 331, 640, 267, 621, 568, 2352, 547, 14487, 519, 2322, 894, 2360, 4767, 538, 15672, 8219, 547, 595, 7838, 269, 4475, 267, 31571, 543, 5924, 12159, 2472, 540, 595, 7838, 1058, 581, 3144, 883, 7156, 607, 18657, 2209, 540, 519, 14278, 1670, 2534, 269, 9736, 476, 1001, 273, 12713, 26502, 267, 476, 4375, 263, 272, 2567, 1691, 1700, 736, 267, 476, 1001, 274, 269, 0, 763, 6243, 540, 519, 8828, 20211, 11866, 568, 513, 19988, 6532, 1533, 538, 519, 7187, 9533, 7909, 267, 693, 519, 6316, 540, 519, 6997, 30786, 7256, 269, 630, 7197, 540, 264, 922, 10195, 616, 538, 513, 5832, 609, 519, 3337, 540, 606, 9095, 267, 8754, 519, 2012, 269, 634, 834, 338, 1926, 257, 851, 2501, 689, 519, 1249, 602, 519, 4182, 568, 4092, 5045, 540, 23529, 543, 519, 824, 11848, 10195, 282, 2417, 5087, 538, 519, 6997, 30786, 7256, 267, 1175, 1055, 519, 13272, 540, 23529, 267, 972, 568, 849, 513, 630, 20791, 518, 264, 2895, 28396, 1634, 607, 519, 8832, 20211, 11866, 267, 799, 568, 851, 540, 16862, 269, 634, 27623, 6712, 540, 519, 20211, 11866, 5832, 568, 538, 1249, 711, 851, 540, 519, 8828, 20211, 11866, 282, 621, 568, 1634, 607, 519, 8225, 20211, 11866, 543, 568, 513, 11662, 540, 4516, 563, 763, 8828, 20211, 11866, 6591, 7115, 538, 476, 3192, 278, 689, 519, 2136, 8003, 269, 634, 4182, 814, 513, 2551, 540, 827, 476, 272, 262, 4335, 262, 1822, 267, 543, 606, 1858, 540, 827, 476, 10844, 262, 1822, 5998, 273, 269, 634, 4182, 781, 1292, 1893, 568, 2296, 282, 519, 11317, 3717, 519, 13172, 8828, 20211, 2296, 269, 4033, 2101, 4654, 1331, 744, 549, 9366, 267, 519, 32090, 4654, 543, 10656, 563, 763, 3084, 9206, 814, 513, 4544, 4282, 267, 609, 513, 3043, 4174, 701, 609, 513, 12931, 1844, 983, 834, 12949, 257, 4881, 689, 519, 5377, 2451, 7944, 547, 519, 1283, 540, 519, 9206, 547, 519, 5377, 1318, 7944, 269, 1703, 616, 3043, 6801, 538, 519, 1283, 2451, 543, 1283, 1318, 15174, 267, 543, 972, 568, 513, 2699, 5182, 538, 519, 2539, 1647, 540, 519, 9206, 563, 763, 10195, 540, 519, 4182, 3294, 616, 711, 2731, 538, 519, 3337, 540, 606, 9095, 267, 855, 811, 538, 513, 834, 571, 785, 1886, 3337, 2668, 1717, 267, 950, 3144, 609, 519, 8225, 20211, 11866, 267, 789, 1106, 606, 9095, 269, 634, 8360, 834, 338, 4822, 9095, 257, 568, 849, 3006, 1031, 538, 6935, 547, 519, 9095, 6438, 3337, 540, 519, 4182, 781, 7013, 32132, 693, 9835, 6816, 543, 20211, 6816, 269, 1703, 616, 476, 3953, 1292, 10195, 267, 543, 519, 2698, 1858, 540, 519, 4182, 568, 10199, 476, 11011, 262, 280, 7830, 5998, 273, 563, 2467, 568, 513, 1360, 2647, 8390, 538, 519, 7306, 540, 519, 10195, 267, 609, 519, 4102, 1373, 9835, 6816, 543, 519, 10545, 8585, 8124, 6816, 269, 634, 5095, 540, 519, 10195, 849, 4268, 9244, 267, 609, 20211, 6816, 1373, 519, 1034, 20651, 6532, 543, 23951, 329, 6359, 6816, 519, 2547, 563, 763, 2229, 568, 22833, 600, 1968, 269, 634, 3689, 25679, 814, 476, 2568, 2818, 543, 568, 11221, 998, 519, 13102, 267, 1247, 519, 5822, 25679, 814, 476, 1911, 2818, 543, 568, 11221, 998, 513, 3084, 8917, 269, 1703, 616, 1614, 2101, 2010, 540, 12836, 281, 16232, 267, 2489, 543, 8664, 12836, 563, 763, 4182, 568, 513, 4759, 540, 519, 2136, 8315, 267, 1498, 711, 24114, 563, 8601, 711, 2348, 2318, 1894, 609, 930, 6082, 267, 519, 11866, 723, 4690, 270, 30447, 2066, 519, 1158, 269, 2353, 6167, 4759, 2829, 723, 2377, 817, 625, 538, 519, 6243, 267, 543, 519, 6243, 814, 2377, 817, 625, 538, 1082, 607, 1134, 269, 769, 476, 1960, 276, 513, 6571, 729, 5293, 602, 519, 11866, 1131, 723, 2377, 817, 625, 609, 782, 6167, 6082, 267, 799, 1131, 7494, 2087, 270, 27463, 848, 4914, 1894, 269, 4107, 2377, 817, 625, 540, 5634, 6082, 616, 538, 519, 21150, 29983, 10588, 538, 20211, 4975, 267, 799, 729, 6140, 3710, 1063, 476, 1960, 277, 543, 476, 1220, 271, 563, 1103, 2487, 1296, 267, 519, 8828, 20211, 11866, 723, 1831, 1634, 585, 1373, 12666, 270, 3847, 626, 543, 5885, 1863, 4633, 543, 19493, 5322, 5001, 563, 763, 744, 549, 9366, 723, 513, 3982, 2528, 267, 1644, 547, 602, 540, 519, 27478, 563, 763, 1292, 7328, 538, 519, 11866, 568, 7681, 11176, 267, 1498, 1082, 1114, 5026, 616, 5129, 543, 519, 4182, 814, 3084, 6887, 538, 1082, 5026, 269, 634, 8828, 20211, 11866, 3084, 11176, 2319, 568, 513, 1360, 1434, 2319, 585, 513, 4182, 922, 2450, 269, 7788, 1302, 267, 519, 4182, 849, 14747, 519, 2622, 4204, 19067, 267, 849, 1634, 607, 519, 15932, 19067, 267, 513, 11176, 6735, 1141, 519, 5171, 630, 777, 691, 689, 519, 11866, 264, 616, 5697, 14477, 689, 513, 834, 23051, 257, 540, 6082, 269, 901, 6735, 568, 674, 9281, 288, 29627, 1758, 2213, 267, 1498, 513, 1297, 540, 1875, 6363, 9281, 288, 6887, 616, 1369, 519, 5542, 7535, 607, 1134, 269, 2353, 674, 9281, 288, 4759, 6887, 270, 817, 1539, 725, 616, 1369, 519, 5542, 7535, 563, 8448, 2101, 5026, 538, 519, 4182, 1331, 2361, 19735, 267, 4672, 19735, 543, 14912, 269, 589, 1592, 540, 3084, 5026, 19194, 538, 519, 8828, 20211, 11866, 666, 581, 1336, 1934, 269, 0, 1103, 6014, 2528, 28763, 8403, 1797, 21200, 267, 602, 568, 519, 11310, 602, 568, 2016, 689, 5023, 547, 2423, 267, 602, 568, 849, 1634, 607, 519, 13138, 4696, 296, 3582, 269, 901, 2245, 267, 538, 17194, 267, 568, 513, 9015, 543, 1153, 540, 2219, 7255, 609, 6014, 3733, 560, 6291, 563, 290, 629, 4472, 320, 568, 513, 1305, 540, 1965, 582, 20143, 10752, 5921, 547, 2491, 519, 2078, 1063, 606, 18163, 29763, 543, 519, 7122, 630, 14367, 5137, 8094, 298, 629, 4472, 1695, 8385, 2919, 7357, 1369, 519, 7706, 540, 6014, 2219, 267, 543, 7683, 3096, 8106, 6014, 2959, 547, 2491, 543, 6542, 922, 1965, 582, 20143, 10752, 563, 1103, 519, 2473, 23997, 543, 2473, 309, 7656, 11416, 267, 519, 15457, 819, 540, 6896, 4165, 529, 30146, 3812, 519, 28395, 563, 17829, 945, 2743, 547, 1865, 519, 6014, 3733, 560, 673, 9282, 630, 1492, 16410, 4472, 320, 264, 2968, 519, 968, 322, 629, 531, 1235, 5608, 519, 968, 292, 671, 619, 540, 590, 542, 9731, 17829, 9348, 531, 1235, 2073, 514, 4550, 4149, 655, 12792, 10580, 267, 941, 711, 8797, 681, 13741, 529, 15042, 267, 855, 6014, 931, 2869, 2209, 563, 3519, 8019, 267, 519, 1913, 16410, 531, 543, 16410, 531, 626, 267, 723, 513, 2312, 267, 3140, 4888, 2316, 318, 306, 4932, 296, 12087, 1543, 267, 543, 1590, 581, 26793, 267, 607, 729, 26793, 519, 1065, 14601, 2262, 968, 333, 580, 3455, 892, 585, 519, 3979, 12677, 1004, 563, 17829, 945, 29405, 519, 6014, 3733, 560, 6291, 607, 513, 931, 2869, 31247, 2534, 616, 267, 8197, 4888, 2316, 4149, 4932, 296, 23154, 454, 663, 1590, 581, 1065, 644, 7007, 607, 21888, 9539, 1794, 529, 563, 297, 28779, 28673, 9257, 269, 0, 18893, 2711, 674, 13926, 19024, 532, 454, 20062, 2969, 4959, 8668, 888, 18893, 2711, 674, 13926, 19024, 532, 630, 302, 17025, 264, 568, 513, 3069, 2919, 676, 513, 1715, 10215, 4571, 342, 1057, 267, 14639, 27659, 2023, 543, 27638, 19829, 267, 6754, 710, 8845, 267, 945, 1336, 602, 2990, 543, 3350, 1223, 3310, 519, 1259, 519, 4816, 2482, 538, 519, 27042, 538, 519, 3803, 4374, 540, 6379, 269, 634, 2856, 568, 602, 1082, 2352, 2978, 832, 630, 663, 524, 525, 732, 753, 264, 1267, 689, 968, 7356, 335, 19948, 5608, 1141, 519, 4816, 779, 2990, 2306, 621, 2182, 585, 519, 2212, 547, 1847, 998, 519, 10652, 6665, 267, 865, 4657, 519, 1259, 519, 4816, 6013, 1223, 1118, 4332, 4443, 585, 1312, 2385, 543, 1126, 563, 1103, 519, 2063, 959, 30478, 540, 6379, 267, 513, 4816, 779, 2990, 3448, 547, 519, 10652, 6665, 666, 2356, 581, 27621, 730, 269, 1403, 972, 568, 2243, 1310, 27621, 566, 267, 16953, 666, 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 ]
[ 5934, 630, 1721, 782, 562, 521, 264, 950, 519, 513, 1991, 328, 3892, 14626, 1938, 609, 519, 3020, 3892, 898, 568, 711, 6654, 602, 971, 667, 6818, 476, 2641, 692, 3451, 25732, 519, 8856, 540, 28662, 27122, 1284, 723, 2808, 519, 1739, 10457, 585, 667, 3287, 11971, 264, 630, 718, 540, 799, 666, 581, 6905, 547, 519, 562, 268, 776, 2013, 2567, 634, 8155, 281, 1535, 910, 586, 1535, 910, 586, 476, 273, 1862, 1535, 910, 586, 737, 1862, 634, 918, 1638, 3724, 30071, 756, 2401, 27754, 586, 667, 918, 299, 16733, 344, 267, 476, 272, 586, 264, 630, 343, 267, 476, 272, 1535, 4297, 815, 586, 2845, 476, 273, 1535, 1341, 630, 272, 586, 264, 2845, 476, 273, 476, 272, 586, 476, 272, 1535, 476, 2420, 692, 4097, 25732, 519, 8856, 540, 28662, 6620, 14497, 269, 1280, 519, 1611, 2861, 28662, 6620, 267, 609, 513, 1991, 328, 645, 263, 16532, 649, 723, 602, 519, 2783, 568, 13854, 630, 328, 4318, 269, 519, 11485, 568, 5934, 950, 14626, 728, 609, 519, 6724, 267, 540, 519, 3020, 3892, 1070, 676, 519, 1739, 3252, 281, 634, 476, 273, 526, 2343, 630, 343, 910, 586, 264, 476, 273, 634, 918, 1638, 3724, 30071, 756, 2401, 27754, 1284, 1265, 621, 1360, 9670, 602, 519, 2783, 568, 13854, 676, 891, 1079, 1360, 1114, 3252, 267, 543, 711, 676, 1022, 540, 519, 824, 8155, 1535, 910, 586, 737, 585, 737, 476, 273, 476, 2537, 692, 3374, 667, 3287, 267, 586, 264, 815, 263, 343, 586, 264, 476, 273, 21566, 815, 272, 267, 6543, 499, 815, 272, 681, 10490, 14668, 267, 15512, 267, 476, 276, 264, 562, 815, 276, 267, 16564, 815, 272, 270, 273, 562, 815, 276, 667, 661, 630, 288, 14668, 267, 15512, 267, 476, 276, 267, 476, 272, 270, 273, 264, 1280, 519, 918, 1638, 3724, 30071, 756, 2401, 27754, 519, 13602, 616, 2147, 267, 855, 1454, 811, 14869, 267, 543, 789, 11651, 613, 585, 476, 271, 610, 476, 271, 476, 2190, 692, 3607, 4518, 538, 3356, 8074, 602, 585, 519, 476, 273, 526, 2343, 667, 3287, 11971, 264, 815, 630, 343, 3917, 264, 476, 273, 519, 3328, 16692, 568, 513, 3845, 269, 901, 24716, 609, 519, 2013, 540, 667, 3287, 11971, 264, 815, 667, 298, 299, 12169, 1535, 264, 543, 2306, 519, 1101, 811, 13267, 269, 1215, 7347, 568, 519, 11532, 602, 5909, 5809, 602, 519, 476, 273, 526, 5991, 768, 2861, 16692, 568, 513, 1434, 3845, 286, 769, 1880, 281, 6496, 621, 8831, 547, 519, 2013, 540, 3818, 29705, 4240, 4351, 4632, 286, 8074, 602, 538, 519, 3818, 29705, 4240, 2013, 519, 10171, 568, 513, 1617, 30796, 267, 519, 31669, 513, 1991, 328, 568, 513, 667, 597, 7865, 2280, 543, 519, 667, 568, 519, 21482, 22941, 3845, 630, 338, 32464, 264, 1548, 616, 519, 2009, 3156, 286, 476, 1839, 692, 4391, 25792, 3156, 630, 1740, 538, 3356, 264, 1284, 666, 946, 16692, 547, 5635, 1079, 1114, 16759, 6620, 269, 6399, 2861, 5288, 824, 2081, 540, 8939, 513, 28662, 5288, 1875, 1532, 599, 14198, 769, 811, 7294, 7653, 972, 949, 581, 1114, 28662, 1611, 22372, 6620, 269, 7151, 281, 26776, 8756, 269, 16692, 28901, 513, 11973, 593, 14778, 269, 7345, 525, 4834, 5581, 14759, 593, 713, 11973, 2230, 689, 519, 513, 1991, 328, 547, 519, 513, 17911, 328, 269, 1284, 20053, 547, 1353, 519, 3601, 540, 971, 14759, 538, 519, 4126, 602, 789, 786, 7866, 4277, 3601, 540, 519, 7222, 28662, 2409, 267, 4830, 540, 519, 513, 1991, 328, 269, 476, 2918, 692, 15368, 923, 540, 18926, 10724, 4804, 692, 5425, 278, 8618, 11354, 476, 1001, 274, 11628, 10724, 4804, 17943, 540, 18926, 10724, 4804, 17976, 337, 281, 2473, 807, 19390, 514, 11809, 340, 28478, 787, 345, 16852, 287, 14369, 9884, 4593, 12975, 7073, 3684, 1565, 568, 12082, 538, 7194, 269, 1411, 786, 1265, 1082, 5432, 692, 303, 630, 343, 264, 476, 271, 269, 2598, 4740, 4351, 4632, 1401, 4624, 1871, 269, 634, 4397, 1871, 267, 1611, 610, 3328, 540, 513, 4351, 4756, 1535, 568, 281, 1535, 335, 630, 343, 264, 815, 642, 1775, 623, 630, 341, 1775, 25589, 11514, 4740, 4351, 4632, 17438, 2527, 1599, 9717, 513, 15768, 4351, 4756, 2473, 2921, 2418, 538, 2473, 815, 2715, 341, 476, 272, 267, 24222, 642, 544, 7684, 267, 922, 5506, 2527, 1599, 623, 2433, 2473, 1496, 271, 267, 476, 272, 316, 568, 3989, 607, 281, 623, 630, 341, 1775, 3738, 815, 2398, 314, 311, 25883, 6224, 22790, 476, 273, 6480, 26305, 11525, 3809, 692, 6224, 22790, 476, 273, 6480, 26305, 11525, 3809, 10724, 4804, 14645, 524, 476, 1001, 277, 269, 8751, 631, 269, 27508, 269, 2353, 2924, 11603, 269, 2608, 291, 6938, 10499, 5508, 5130, 476, 2190, 267, 476, 1001, 277, 265, 2608, 303, 4041, 17955, 11298, 10691, 667, 8780, 6020, 289, 7473, 292, 23166, 27345, 27483, 295, 3036, 590, 25783, 300, 3041, 31064, 265, 901, 568, 513, 692, 29797, 582, 4185, 13281, 269, 476, 272, 4985, 269, 476, 273, 23738, 12330, 269, 476, 273, 269, 272, 715, 1638, 543, 20010, 23738, 12330, 269, 476, 273, 269, 273, 11822, 5288, 269, 1290, 22683, 269, 476, 273, 269, 274, 2290, 4149, 3660, 543, 5565, 4149, 3660, 18873, 692, 29797, 582, 4185, 13281, 476, 272, 4985, 901, 3561, 568, 513, 2241, 5850, 593, 8367, 4152, 269, 898, 6799, 519, 2596, 2035, 543, 8847, 607, 1134, 607, 930, 4749, 4280, 2055, 2404, 609, 8367, 692, 23536, 8494, 2065, 17738, 585, 8262, 4578, 269, 5981, 5096, 625, 543, 23011, 2605, 580, 7637, 2160, 540, 11062, 476, 1724, 628, 5988, 476, 1001, 275, 692, 23536, 8494, 2065, 17738, 585, 8262, 4578, 5981, 5096, 625, 543, 23011, 2605, 580, 7637, 2160, 540, 11062, 476, 1724, 628, 5988, 476, 1001, 275, 634, 3557, 540, 8262, 4578, 4208, 2625, 8494, 2065, 3631, 585, 8262, 4578, 286, 476, 272, 269, 1403, 596, 1810, 512, 723, 547, 5855, 827, 692, 272, 2672, 2310, 7194, 692, 272, 2672, 2310, 7194, 589, 18802, 568, 513, 1599, 570, 815, 678, 343, 476, 272, 267, 2473, 476, 273, 23463, 2473, 562, 540, 519, 4351, 3732, 2473, 476, 272, 267, 2473, 476, 273, 23463, 2473, 562, 269, 6201, 616, 2473, 562, 815, 476, 272, 562, 521, 476, 273, 815, 815, 2473, 1775, 267, 476, 272, 562, 476, 272, 519, 3732, 1611, 2473, 1775, 2473, 562, 476, 273, 267, 519, 3732, 13065, 570, 476, 272, 25883, 7072, 547, 29138, 13281, 269, 8672, 16759, 543, 6015, 11996, 616, 3730, 8579, 23221, 5773, 780, 7072, 547, 29138, 13281, 8672, 16759, 543, 6015, 11996, 616, 3730, 8579, 23221, 5773, 269, 6271, 1826, 540, 23221, 568, 1031, 4749, 1031, 4145, 4255, 540, 19165, 780, 21008, 2581, 540, 7928, 626, 543, 28662, 23221, 269, 4147, 476, 736, 267, 476, 1240, 269, 4962, 267, 11354, 476, 1001, 275, 22819, 3240, 2107, 331, 4752, 543, 22189, 25204, 692, 21008, 2581, 540, 7928, 626, 543, 28662, 23221, 269, 4147, 476, 736, 267, 476, 1240, 269, 4962, 267, 11354, 476, 1001, 275, 22819, 3240, 2107, 331, 4752, 543, 22189, 25204, 476, 272, 4804, 17644, 476, 272, 269, 2142, 2111, 547, 2491, 519, 3017, 1063, 519, 533, 17032, 543, 513, 17911, 692, 17746, 11712, 7345, 525, 543, 2506, 2869, 673, 7345, 525, 6480, 574, 1807, 10241, 538, 15928, 623, 878, 532, 692, 15973, 10716, 585, 18926, 10241, 543, 10613, 476, 1001, 274, 267, 5292, 476, 736, 267, 3143, 476, 275, 267, 476, 25834, 476, 27628, 20396, 281, 5291, 2517, 11459, 4777, 1640, 326, 270, 10755, 31620, 11305, 338, 600, 1001, 17168, 28242, 272, 4790, 11712, 7345, 525, 543, 2506, 2869, 673, 7345, 525, 6480, 574, 1807, 10241, 538, 15928, 692, 1428, 269, 271, 2859, 29138, 13281, 692, 1428, 269, 271, 2859, 29138, 13281, 476, 272, 8382, 5999, 7392, 594, 543, 7392, 4083, 18438, 5295, 6726, 566, 28662, 29138, 13281, 476, 1428, 269, 272, 7392, 594, 543, 7392, 4083, 18438, 769, 519, 6138, 540, 8367, 4152, 267, 519, 14275, 8367, 692, 13640, 600, 13011, 17738, 3487, 594, 281, 26228, 700, 1731, 9685, 543, 28662, 25670, 6480, 11582, 692, 13640, 600, 13011, 17738, 3487, 594, 281, 26228, 700, 1731, 9685, 543, 28662, 25670, 6480, 11582, 17286, 574, 589, 802, 1195, 4972, 540, 8950, 7177, 645, 20488, 550, 2160, 521, 752, 810, 344, 287, 14369, 12500, 20488, 550, 12975, 6745, 337, 11483, 476, 4649, 272, 267, 12096, 476, 1001, 276, 11483, 476, 4649, 272, 267, 12096, 476, 1001, 276, 692, 21809, 6750, 10724, 4804, 692, 21809, 6750, 10724, 4804, 772, 334, 290, 853, 1846, 476, 4391, 278, 876, 267, 15604, 10116, 17976, 476, 275, 281, 8106, 5276, 543, 13392, 5806, 514, 1218, 269, 476, 272, 1315, 476, 1839, 12430, 9668, 1280, 1079, 5049, 538, 681, 546, 2433, 2241, 2856, 281, 5094, 519, 5049, 692, 21316, 295, 4510, 273, 278, 8074, 1504, 476, 273, 11354, 476, 1001, 277, 269, 476, 273, 13878, 295, 4510, 273, 278, 8074, 1504, 476, 273, 476, 274, 269, 476, 273, 269, 272, 26479, 543, 6201, 1862, 476, 274, 269, 476, 273, 269, 273, 13437, 21474, 585, 6480, 574, 2209, 13718, 21316, 295, 4510, 273, 278, 8074, 1504, 476, 273, 11354, 476, 1001, 277, 5423, 676, 7905, 808, 10154, 20045, 331, 16343, 524, 14645, 476, 1220, 280, 268, 1001, 277, 676, 808, 10154, 589, 269, 20045, 331, 16343, 269, 2353, 7126, 27616, 269, 12937, 476, 273, 13878, 295, 4510, 273, 278, 8074, 1504, 476, 273, 476, 274, 476, 273, 269, 272, 26479, 543, 6201, 18927, 13718, 289, 23293, 3652, 543, 1344, 3069, 692, 289, 23293, 3652, 543, 1344, 3069, 16902, 592, 1470, 645, 2714, 9579, 328, 700, 4932, 543, 11404, 293, 3633, 2480, 340, 7637, 8111, 328, 648, 16114, 17555, 5181, 267, 476, 1001, 274, 20895, 11822, 25919, 538, 15028, 3756, 634, 6239, 23423, 14497, 8838, 2711, 3652, 634, 10794, 692, 29074, 14198, 5811, 585, 519, 4317, 7070, 692, 29074, 14198, 5811, 585, 519, 4317, 7070, 17363, 10793, 2006, 18628, 2160, 5291, 2517, 329, 871, 2006, 14714, 534, 5112, 12975, 11486, 817, 5437, 476, 280, 267, 476, 1001, 273, 17363, 10793, 2006, 630, 1805, 534, 5112, 264, 28662, 5811, 585, 519, 4317, 7070, 5437, 692, 299, 15145, 476, 277, 281, 634, 28662, 13979, 692, 299, 15145, 476, 277, 281, 634, 28662, 13979, 1548, 9894, 1284, 1684, 5455, 547, 3767, 286, 1284, 616, 2016, 513, 2203, 8298, 31059, 2203, 267, 4460, 990, 3060, 267, 28662, 3060, 267, 3092, 269, 901, 2203, 28901, 513, 3892, 623, 11583, 264, 4804, 281, 7447, 513, 1305, 692, 24687, 593, 519, 20134, 23642, 6706, 17392, 692, 24687, 593, 519, 20134, 23642, 6706, 17392, 3627, 667, 269, 13648, 5239, 476, 2764, 267, 476, 1220, 280, 17593, 1452, 4967, 2285, 1896, 3601, 540, 519, 2942, 23481, 3892, 269, 476, 272, 269, 20368, 2678, 3074, 476, 273, 269, 634, 4276, 1063, 692, 299, 15145, 476, 280, 281, 28662, 8367, 4152, 692, 299, 15145, 476, 280, 281, 28662, 8367, 4152, 476, 276, 5437, 476, 2767, 769, 713, 11000, 649, 26270, 1451, 827, 28662, 8367, 4152, 269, 476, 272, 4985, 547, 28662, 8367, 4152, 6969, 649, 979, 883, 519, 3877, 540, 28662, 692, 763, 7780, 1006, 540, 28662, 21023, 633, 11525, 3809, 585, 3955, 574, 16424, 540, 11916, 2558, 10118, 692, 763, 7780, 1006, 540, 28662, 21023, 633, 11525, 3809, 585, 3955, 574, 16424, 540, 11916, 2558, 10118, 5484, 14205, 4068, 267, 1912, 6185, 269, 7137, 787, 13693, 1218, 918, 5357, 17976, 10022, 267, 8734, 476, 1001, 276, 476, 272, 1315, 476, 2412, 4985, 1215, 616, 4791, 8062, 692, 21809, 6750, 10724, 4804, 689, 4578, 692, 306, 18081, 15622, 1470, 18926, 10724, 4804, 689, 4578, 476, 272, 18926, 10724, 4804, 689, 4578, 21714, 631, 4869, 675, 17738, 6341, 344, 15622, 1470, 9517, 296, 4338, 3194, 4659, 267, 6742, 793, 344, 267, 16848, 267, 543, 19889, 548, 12443, 23855, 1664, 692, 4488, 2177, 476, 3393, 280, 10794, 7869, 269, 17976, 11872, 30080, 2388, 269, 12359, 320, 589, 837, 4802, 328, 11354, 476, 1001, 276, 692, 4488, 2177, 476, 3393, 280, 10794, 7869, 17976, 11872, 30080, 2388, 12359, 320, 589, 837, 4802, 328, 11354, 476, 1001, 276, 1452, 4967, 723, 1044, 1031, 1354, 269, 1403, 596, 666, 1869, 5544, 1022, 6959, 610, 723, 1022, 10372, 585, 6454, 267, 5225, 1577, 803, 917, 269, 476, 272, 692, 3849, 28922, 6732, 27240, 1304, 2677, 1417, 8834, 700, 19258, 27451, 10406, 540, 8950, 3163, 4972, 540, 10803, 17459, 20588, 20588, 267, 11404, 476, 280, 5325, 6021, 536, 691, 27451, 287, 14369, 828, 18403, 9254, 4432, 611, 18171, 534, 22126, 31471, 23565, 3194, 4741, 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 ]
[ 1312, 2067, 543, 5841, 267, 666, 2087, 1072, 4093, 971, 607, 4965, 267, 989, 2787, 267, 543, 3207, 563, 1692, 1281, 606, 14432, 1604, 1860, 721, 888, 9336, 1032, 606, 6059, 476, 1321, 269, 277, 2929, 1004, 5884, 607, 513, 1267, 540, 2713, 610, 2324, 538, 606, 14432, 1604, 269, 7025, 1981, 2188, 267, 971, 607, 2011, 267, 1216, 543, 3037, 5533, 267, 3114, 23927, 267, 2916, 1689, 267, 543, 22292, 5982, 3565, 547, 811, 982, 476, 1911, 3676, 543, 7063, 563, 9989, 707, 1604, 1860, 707, 1967, 888, 17730, 519, 1318, 1604, 786, 2333, 707, 7607, 267, 7145, 267, 543, 1256, 707, 8404, 269, 898, 786, 1267, 538, 4824, 2164, 563, 1692, 1281, 1604, 1860, 4160, 888, 20245, 2188, 281, 15689, 538, 519, 1604, 1472, 606, 1367, 666, 2333, 4160, 269, 13262, 689, 513, 2123, 2078, 267, 2816, 267, 1153, 267, 610, 2883, 32252, 3512, 666, 3565, 7494, 547, 4160, 4713, 269, 4634, 1970, 5135, 2157, 538, 1164, 268, 5306, 3363, 2127, 666, 1039, 547, 4160, 2589, 563, 1692, 1281, 707, 1604, 1860, 707, 8788, 888, 2467, 568, 8197, 2963, 538, 6530, 11021, 602, 1373, 6534, 547, 3039, 267, 2067, 5054, 10607, 2790, 1134, 5630, 269, 31469, 1331, 513, 5786, 538, 2566, 267, 513, 4473, 538, 2318, 4664, 267, 5042, 11808, 267, 543, 2318, 2360, 593, 1582, 30625, 563, 1432, 616, 1806, 540, 2825, 7506, 888, 20245, 7506, 1331, 8192, 6981, 540, 645, 8324, 267, 2523, 31833, 267, 607, 1134, 607, 2564, 2175, 971, 607, 17669, 14524, 267, 590, 4041, 267, 4359, 2085, 267, 30847, 543, 930, 6527, 563, 1432, 616, 519, 476, 276, 2825, 2188, 888, 2414, 1205, 513, 1732, 2856, 540, 875, 789, 1860, 513, 6109, 779, 6725, 2238, 267, 1577, 779, 1413, 693, 1142, 540, 519, 2947, 2127, 540, 519, 5007, 1604, 563, 268, 634, 11572, 543, 27943, 5113, 563, 268, 634, 9483, 5113, 563, 268, 634, 14847, 1438, 5113, 563, 268, 634, 25895, 5113, 563, 268, 634, 4317, 543, 8836, 5113, 563, 1432, 568, 513, 2168, 543, 1514, 1604, 888, 763, 2168, 1604, 4016, 547, 519, 5007, 267, 15889, 10450, 538, 799, 606, 11248, 6818, 543, 799, 666, 3310, 922, 7180, 543, 1646, 269, 634, 1514, 1604, 568, 519, 9838, 610, 2147, 1514, 7158, 543, 1514, 5107, 607, 513, 2898, 602, 3310, 519, 2043, 540, 513, 1895, 563, 1432, 616, 519, 2947, 2101, 2825, 2042, 888, 763, 8262, 7465, 7025, 10819, 2986, 476, 1708, 271, 454, 268, 634, 2916, 6433, 568, 23960, 693, 606, 13778, 2557, 267, 543, 649, 616, 711, 4712, 585, 621, 269, 2755, 519, 6433, 814, 1082, 2188, 602, 1404, 513, 1909, 538, 922, 12615, 566, 267, 972, 616, 930, 602, 15549, 811, 3007, 982, 1866, 563, 268, 18648, 26291, 563, 268, 5253, 17904, 563, 268, 26085, 13809, 563, 268, 21311, 21694, 563, 268, 5794, 21694, 269, 0, 1607, 2376, 2115, 3606, 14327, 585, 19027, 1547, 263, 20464, 476, 1220, 279, 994, 763, 4099, 630, 528, 8998, 538, 4516, 264, 538, 4672, 19735, 568, 513, 4464, 2990, 540, 513, 6345, 4171, 3119, 7997, 540, 1404, 568, 519, 1647, 540, 519, 4672, 267, 2476, 689, 519, 2427, 15236, 269, 15544, 723, 811, 8112, 538, 741, 17568, 543, 616, 4397, 547, 3382, 811, 4672, 2627, 982, 1022, 824, 6345, 269, 15544, 616, 23679, 6793, 267, 5488, 1236, 11596, 945, 666, 1394, 27902, 3533, 689, 2620, 538, 519, 15852, 7997, 269, 13575, 267, 7740, 616, 4397, 547, 581, 22064, 1780, 619, 811, 982, 3804, 6060, 3464, 267, 4352, 972, 616, 17756, 267, 3335, 3677, 7740, 945, 2990, 2933, 2047, 538, 4395, 540, 519, 2121, 538, 1931, 547, 6060, 1055, 6450, 2432, 269, 1358, 616, 849, 4397, 547, 723, 11108, 834, 823, 5075, 2580, 4987, 267, 543, 5876, 269, 1358, 849, 3622, 616, 519, 1034, 1219, 13208, 15129, 585, 2072, 593, 519, 4672, 269, 15544, 2356, 1404, 607, 851, 540, 513, 1899, 540, 5716, 602, 616, 2655, 21114, 4749, 547, 1832, 4195, 543, 1832, 519, 3014, 3001, 563, 28495, 619, 616, 2838, 547, 3382, 1454, 540, 519, 4672, 538, 782, 1614, 10851, 269, 7316, 519, 4099, 11148, 547, 1404, 538, 519, 18086, 7997, 568, 2356, 513, 2339, 540, 18006, 543, 2123, 13283, 269, 15544, 616, 3743, 585, 5329, 519, 2095, 540, 519, 3014, 3001, 267, 543, 3622, 6023, 267, 543, 1780, 519, 533, 3089, 811, 982, 1022, 824, 2990, 6345, 269, 5221, 540, 713, 267, 1034, 1434, 7740, 4043, 547, 6060, 3648, 811, 20674, 982, 3853, 1317, 519, 1404, 4422, 998, 873, 607, 789, 2119, 547, 1265, 1930, 2319, 10863, 269, 3571, 610, 1200, 9021, 538, 519, 7997, 616, 26922, 547, 519, 5929, 1297, 476, 1015, 1404, 20447, 538, 13558, 563, 10303, 519, 2039, 540, 18086, 6163, 6887, 899, 547, 946, 267, 4010, 875, 7740, 616, 1031, 538, 519, 18086, 7997, 568, 607, 9867, 607, 519, 5716, 2933, 269, 13575, 519, 4099, 781, 1909, 593, 25213, 568, 547, 1847, 519, 25213, 998, 5128, 267, 4259, 909, 824, 5716, 267, 543, 3246, 1489, 585, 533, 3089, 12959, 269, 1358, 887, 600, 1472, 1034, 2127, 540, 519, 4672, 538, 519, 7997, 543, 723, 513, 2603, 540, 5191, 538, 3375, 1818, 269, 1358, 616, 849, 4397, 547, 7683, 581, 538, 5163, 4929, 9718, 619, 547, 723, 513, 2182, 942, 9477, 873, 563, 763, 2339, 540, 8744, 519, 533, 3089, 538, 519, 7997, 3622, 568, 12913, 538, 1079, 2081, 269, 634, 1101, 3322, 519, 2319, 781, 1655, 533, 3089, 15298, 630, 17141, 519, 8998, 264, 1210, 1010, 3432, 543, 2656, 1145, 547, 3444, 519, 4544, 1899, 609, 519, 533, 3089, 543, 1305, 909, 519, 1055, 775, 269, 634, 2034, 568, 30351, 6053, 1572, 513, 834, 323, 2794, 538, 2580, 538, 799, 606, 22215, 6345, 630, 531, 2865, 2141, 513, 20237, 2006, 610, 8998, 264, 22534, 519, 533, 3089, 689, 519, 9243, 7997, 883, 2901, 7944, 3297, 519, 15852, 2121, 538, 13922, 602, 519, 593, 337, 5241, 13617, 619, 666, 10726, 519, 15852, 9718, 619, 547, 621, 543, 2744, 1852, 269, 634, 8998, 781, 1909, 1934, 568, 547, 1683, 1489, 585, 519, 13617, 619, 952, 789, 1831, 7722, 538, 513, 533, 3089, 6370, 267, 543, 2285, 519, 32626, 530, 5424, 606, 4781, 547, 2119, 547, 1847, 519, 533, 3089, 547, 267, 610, 547, 2119, 547, 1085, 17274, 909, 10690, 533, 15085, 607, 789, 1831, 2139, 269, 4495, 519, 533, 3089, 568, 15685, 519, 1055, 775, 666, 1287, 1305, 909, 607, 3339, 563, 2691, 513, 8998, 781, 530, 5424, 568, 1373, 16091, 2059, 519, 12545, 267, 519, 8998, 666, 1491, 2990, 3297, 519, 2121, 547, 4309, 519, 2604, 323, 530, 5424, 781, 1780, 269, 19992, 519, 2121, 568, 513, 2067, 1747, 585, 930, 18013, 547, 1404, 269, 898, 568, 513, 1360, 2352, 2990, 547, 9718, 1317, 621, 4229, 519, 15852, 8878, 5443, 547, 4734, 519, 4395, 540, 519, 2121, 269, 898, 849, 3947, 519, 8998, 513, 2312, 2070, 540, 519, 4672, 543, 1034, 11932, 519, 18921, 1858, 269, 3245, 1934, 519, 8998, 814, 2312, 8429, 28961, 543, 24024, 519, 3845, 543, 7411, 540, 10596, 547, 5176, 1022, 851, 540, 519, 18921, 563, 6624, 18013, 946, 741, 10688, 543, 5191, 547, 1491, 5413, 540, 519, 18921, 1858, 267, 519, 1858, 538, 1063, 519, 3068, 4752, 15956, 267, 827, 476, 276, 547, 476, 1428, 3952, 689, 519, 3804, 269, 634, 18921, 1858, 568, 29200, 3804, 27214, 1681, 8513, 1317, 540, 922, 16133, 547, 519, 2121, 543, 519, 7411, 519, 15852, 2319, 814, 538, 21108, 621, 269, 3509, 18013, 899, 713, 1858, 1317, 540, 922, 22371, 269, 25334, 31757, 519, 533, 3089, 1934, 3947, 519, 8998, 1082, 1114, 3681, 267, 607, 1134, 607, 513, 3844, 2990, 538, 519, 18086, 1404, 269, 3245, 1934, 646, 666, 3442, 547, 9496, 519, 533, 3089, 593, 2121, 267, 3801, 547, 2721, 9718, 619, 2476, 689, 519, 2121, 676, 1236, 908, 267, 610, 1265, 1930, 5716, 6251, 547, 519, 3804, 21799, 563, 12234, 267, 1510, 519, 533, 3089, 267, 519, 8998, 666, 3442, 547, 19582, 713, 2230, 3168, 585, 1219, 27928, 540, 1279, 15833, 610, 6450, 2432, 269, 31035, 689, 930, 3677, 18013, 945, 1445, 593, 18176, 1055, 6450, 2432, 267, 18013, 10355, 1305, 909, 2047, 538, 4395, 540, 519, 2121, 3294, 1317, 538, 2013, 540, 513, 24826, 267, 621, 568, 1454, 9875, 547, 1205, 1394, 538, 2990, 1219, 13208, 563, 5278, 18013, 786, 1404, 519, 3368, 15236, 269, 901, 2990, 568, 2523, 1271, 547, 513, 8998, 593, 930, 1379, 2452, 5036, 269, 11088, 621, 3947, 519, 8998, 513, 2312, 2070, 540, 519, 4672, 2627, 543, 1082, 1114, 3681, 269, 3245, 1934, 646, 949, 3442, 547, 1780, 1394, 547, 513, 20237, 2006, 593, 519, 1448, 267, 979, 1524, 519, 12545, 547, 513, 530, 5424, 3297, 519, 2121, 267, 610, 5397, 519, 2121, 3294, 15691, 547, 2721, 9718, 619, 547, 1864, 269, 634, 19319, 540, 713, 2990, 568, 602, 621, 568, 3362, 29846, 267, 543, 519, 8998, 3622, 1281, 711, 723, 1454, 942, 547, 5619, 519, 4672, 3168, 585, 606, 1930, 2319, 22940, 563, 20175, 2452, 5036, 616, 849, 3833, 9867, 267, 865, 519, 8998, 781, 1909, 666, 2039, 513, 2603, 269, 3509, 2053, 1498, 519, 8998, 786, 3442, 547, 7500, 538, 519, 18921, 1858, 610, 593, 519, 3368, 15236, 269, 634, 3368, 4580, 2990, 1934, 568, 1500, 4443, 547, 1404, 1317, 519, 8998, 814, 811, 942, 547, 1413, 936, 519, 4672, 2627, 267, 543, 568, 711, 2604, 323, 676, 519, 9718, 619, 607, 1454, 269, 11088, 519, 8998, 781, 1909, 568, 547, 1847, 519, 1055, 775, 998, 5128, 17017, 1345, 3168, 585, 8429, 28961, 547, 1930, 5716, 610, 887, 1324, 519, 18921, 1858, 3168, 585, 1219, 27928, 543, 6450, 2432, 563, 763, 8998, 781, 1909, 538, 519, 3026, 23018, 7997, 593, 519, 22215, 2427, 952, 646, 24172, 19299, 519, 533, 3089, 267, 568, 547, 3142, 519, 533, 3089, 883, 519, 18086, 7997, 676, 8876, 610, 546, 18804, 519, 533, 3089, 538, 269, 4014, 1022, 6345, 949, 4163, 519, 533, 3089, 883, 519, 7997, 267, 18013, 616, 1034, 1419, 18886, 593, 1317, 540, 741, 3432, 267, 2656, 1145, 267, 543, 2702, 547, 6529, 8518, 548, 269, 1403, 1776, 6345, 19299, 519, 533, 3089, 22215, 883, 519, 7997, 267, 519, 8998, 781, 2816, 568, 547, 1683, 1489, 952, 519, 533, 3089, 15298, 2115, 547, 1780, 547, 1776, 6345, 2066, 519, 4544, 1899, 269, 4495, 519, 7997, 814, 1044, 6591, 519, 1055, 775, 949, 8399, 547, 1305, 909, 607, 789, 1294, 3514, 563, 4002, 29746, 1202, 267, 519, 8998, 781, 1909, 568, 547, 1683, 1489, 547, 519, 13617, 619, 607, 789, 6370, 585, 15896, 538, 519, 15174, 267, 543, 6968, 585, 10690, 533, 15085, 563, 6624, 1114, 2994, 723, 1044, 25282, 547, 9718, 519, 9243, 7997, 269, 10705, 6707, 21108, 519, 9243, 7997, 5012, 547, 7864, 3255, 585, 519, 15852, 2319, 547, 723, 18086, 22590, 563, 2080, 519, 8998, 786, 5631, 1445, 593, 1236, 908, 543, 9328, 12976, 15852, 533, 3089, 19057, 547, 2119, 547, 3196, 2490, 13569, 269, 1358, 616, 3743, 585, 519, 1647, 540, 519, 4672, 267, 543, 2119, 547, 2759, 1055, 1279, 8429, 28961, 547, 22215, 5716, 269, 1403, 519, 21108, 2319, 6707, 1281, 3196, 513, 24826, 267, 519, 8998, 568, 1034, 1419, 3743, 585, 7432, 519, 4287, 540, 1404, 1472, 610, 8391, 519, 1101, 1780, 689, 513, 530, 5424, 945, 814, 6707, 7142, 513, 24826, 563, 2691, 4730, 519, 15972, 267, 519, 8998, 3335, 27490, 21650, 519, 20237, 676, 11093, 5128, 17017, 1345, 538, 519, 1647, 540, 519, 4672, 1063, 519, 2699, 1899, 543, 4544, 1899, 538, 17872, 2990, 269, 901, 4229, 519, 533, 3089, 15298, 547, 2901, 2427, 4604, 1141, 519, 8998, 543, 533, 3089, 2427, 530, 5424, 2673, 1864, 538, 267, 834, 10177, 6137, 257, 1864, 17017, 1063, 519, 1079, 21108, 5716, 543, 519, 12545, 269, 3371, 519, 22215, 6345, 814, 1360, 1906, 3681, 267, 543, 3622, 1590, 18956, 547, 513, 20237, 2006, 267, 1141, 1575, 517, 519, 21108, 2319, 666, 19268, 519, 15972, 269, 901, 8671, 545, 729, 10660, 1229, 676, 519, 1715, 14948, 8061, 2812, 538, 519, 3735, 476, 1960, 271, 338, 543, 814, 1044, 1031, 14916, 538, 519, 19760, 299, 543, 782, 2157, 540, 19735, 2094, 563, 2691, 14139, 519, 2451, 13617, 9376, 4640, 267, 519, 8998, 781, 1909, 568, 3335, 547, 14692, 519, 533, 3089, 15298, 610, 1683, 18351, 2604, 538, 519, 15852, 2319, 781, 7997, 547, 3196, 873, 547, 2119, 547, 1780, 519, 533, 3089, 909, 4672, 883, 519, 9376, 269, 901, 568, 513, 1454, 4587, 4640, 543, 568, 1447 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 299, 3907, 12264, 1759, 10253, 585, 4879, 540, 1762, 1053, 685, 1603, 454, 21292, 281, 817, 20156, 267, 2038, 1153, 1603, 267, 13354, 27790, 267, 1603, 267, 10409, 2200, 454, 1607, 1353, 9607, 519, 2243, 540, 875, 1114, 3344, 540, 1053, 685, 1603, 9740, 666, 581, 18931, 543, 11117, 269, 1284, 2919, 513, 8059, 12264, 1759, 5943, 585, 7355, 2861, 4879, 267, 12979, 1819, 538, 513, 6198, 2070, 540, 1893, 543, 1893, 1565, 269, 634, 5943, 729, 1031, 547, 3313, 1018, 7592, 1915, 1047, 5931, 693, 1114, 4515, 11351, 20492, 1759, 593, 13354, 27790, 543, 1018, 7592, 1915, 1047, 5931, 12290, 8335, 269, 16816, 6320, 267, 476, 1911, 5931, 630, 25740, 676, 1053, 6502, 476, 277, 1700, 280, 264, 8204, 2185, 1257, 11964, 941, 12290, 543, 19486, 1210, 1312, 13354, 27790, 630, 3128, 2065, 4879, 264, 543, 7355, 2861, 2079, 269, 634, 2164, 5815, 602, 5931, 3622, 616, 12290, 607, 6793, 630, 328, 4318, 1421, 5116, 538, 513, 2362, 4515, 11351, 6828, 264, 950, 13354, 27790, 568, 1031, 982, 1018, 519, 4879, 540, 513, 1808, 1893, 4199, 6920, 269, 634, 2164, 849, 5815, 602, 4879, 3604, 1522, 581, 513, 1267, 540, 1114, 2298, 6788, 585, 1114, 11964, 269, 901, 2798, 2509, 519, 991, 585, 9135, 268, 543, 1641, 10391, 4879, 7355, 547, 21934, 1245, 1053, 538, 741, 28928, 30095, 1603, 1646, 563, 288, 1638, 267, 700, 269, 630, 1001, 276, 1040, 4045, 532, 1603, 543, 1893, 538, 4879, 281, 24167, 2511, 267, 3159, 267, 543, 4661, 538, 519, 772, 2529, 269, 5871, 11759, 4441, 543, 538, 32055, 2875, 1603, 269, 30487, 5675, 267, 476, 2190, 267, 476, 6795, 1700, 10463, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 553, 342, 269, 1001, 276, 269, 6734, 269, 16573, 454, 289, 1046, 320, 537, 328, 267, 918, 269, 630, 1001, 271, 1040, 7352, 1464, 538, 26613, 1557, 12773, 3157, 281, 634, 1909, 540, 519, 12773, 4336, 543, 678, 831, 1995, 269, 5678, 10495, 22588, 569, 267, 476, 278, 263, 272, 1070, 476, 7918, 1700, 10619, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 15150, 29340, 27947, 271, 4097, 277, 4510, 1240, 454, 6826, 1188, 267, 594, 269, 700, 1421, 5062, 11390, 1144, 267, 631, 269, 717, 1421, 1299, 1937, 20321, 267, 808, 269, 630, 1960, 276, 1040, 29179, 513, 1257, 5639, 666, 2087, 1053, 685, 1620, 269, 7335, 3194, 22588, 569, 267, 476, 1789, 263, 273, 1070, 476, 13136, 1700, 24487, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15996, 278, 270, 278, 4366, 30033, 454, 6826, 1188, 267, 594, 269, 700, 1421, 1299, 5062, 11390, 1144, 267, 631, 269, 717, 269, 630, 1220, 278, 1040, 23207, 1762, 1970, 13867, 1453, 779, 5711, 6863, 25479, 2231, 998, 3638, 543, 5059, 6044, 269, 634, 16504, 3427, 4750, 267, 476, 13040, 263, 274, 1070, 476, 25172, 1700, 27244, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 277, 270, 276, 1556, 3583, 277, 454, 289, 550, 517, 267, 570, 1421, 1299, 11829, 12329, 267, 570, 269, 630, 1001, 279, 1040, 1772, 13354, 27790, 1175, 513, 2656, 1106, 540, 2789, 16287, 286, 3194, 25198, 281, 589, 11062, 10495, 22910, 267, 476, 2918, 267, 476, 2420, 1700, 2764, 563, 13731, 773, 267, 674, 269, 630, 1001, 273, 1040, 5678, 2069, 2429, 519, 1153, 1296, 281, 589, 6198, 5133, 269, 25067, 5174, 331, 871, 6202, 563, 290, 2077, 773, 267, 674, 1421, 1299, 667, 699, 342, 1014, 6390, 267, 645, 269, 630, 1220, 279, 1040, 3427, 11407, 281, 4804, 547, 2328, 2066, 519, 1296, 540, 18375, 269, 5507, 563, 15899, 2917, 267, 590, 269, 589, 1421, 14472, 1723, 324, 267, 681, 1421, 1299, 5062, 301, 600, 4673, 267, 667, 269, 590, 269, 630, 1001, 275, 1040, 1548, 568, 3811, 1603, 286, 1323, 7634, 883, 519, 2789, 2081, 5830, 666, 2328, 3811, 3594, 269, 18838, 9442, 267, 476, 4029, 263, 273, 1070, 476, 7277, 1700, 20969, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14056, 278, 270, 5881, 275, 10482, 279, 4029, 3393, 273, 277, 3374, 275, 454, 293, 836, 267, 2098, 1421, 1299, 3213, 6737, 600, 267, 590, 269, 630, 1001, 274, 1040, 2598, 9918, 7924, 281, 1548, 596, 1616, 547, 917, 827, 621, 269, 4750, 540, 32183, 1299, 16989, 17402, 267, 476, 6321, 263, 279, 1070, 476, 277, 2767, 1700, 277, 3953, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 273, 32434, 288, 3201, 269, 5002, 454, 293, 836, 267, 2098, 1421, 1299, 15651, 267, 2098, 269, 630, 1001, 272, 1040, 15332, 6299, 7879, 281, 4635, 6198, 1893, 2079, 547, 6218, 2875, 1603, 269, 634, 8241, 4750, 540, 5678, 543, 17402, 267, 476, 4097, 263, 273, 1070, 476, 15704, 1700, 13679, 269, 4179, 2517, 14142, 23357, 845, 527, 3820, 270, 8742, 270, 1015, 269, 28664, 277, 270, 1408, 23981, 269, 12208, 280, 3066, 278, 4097, 25546, 279, 3607, 454, 293, 13083, 2044, 323, 267, 808, 269, 654, 269, 630, 1220, 277, 1040, 5675, 609, 606, 10182, 281, 2561, 26150, 543, 2875, 5931, 538, 519, 1153, 1641, 540, 16528, 269, 2920, 320, 10713, 527, 15384, 772, 1186, 8932, 18424, 2433, 772, 653, 338, 8403, 2160, 563, 293, 13083, 2044, 323, 267, 808, 269, 654, 269, 630, 1001, 275, 1040, 670, 329, 7564, 4135, 534, 267, 554, 329, 592, 522, 577, 1864, 331, 752, 549, 653, 541, 269, 769, 928, 327, 18033, 961, 1775, 1605, 951, 521, 752, 2889, 338, 622, 343, 614, 533, 18033, 561, 18033, 326, 26684, 2884, 269, 769, 623, 269, 1656, 619, 5459, 267, 623, 269, 4591, 3088, 326, 267, 589, 269, 10370, 978, 325, 3881, 267, 589, 269, 20918, 523, 560, 600, 1299, 744, 269, 654, 573, 515, 630, 32295, 13776, 631, 18033, 978, 325, 12245, 839, 544, 7238, 329, 5554, 515, 614, 269, 700, 7867, 4405, 522, 577, 16204, 18033, 330, 323, 573, 752, 339, 1731, 1775, 20918, 523, 630, 653, 269, 476, 12893, 1700, 14530, 1040, 13780, 7578, 562, 24477, 591, 8208, 535, 23152, 521, 26223, 6390, 1199, 1705, 752, 339, 7416, 538, 686, 19241, 940, 563, 293, 13083, 2044, 323, 267, 808, 269, 654, 269, 630, 1708, 272, 1040, 1855, 528, 1512, 522, 577, 1558, 18344, 535, 23152, 1257, 534, 26087, 1107, 608, 655, 921, 339, 1236, 337, 643, 663, 324, 1775, 1236, 565, 753, 22619, 27004, 3331, 354, 337, 269, 769, 570, 269, 715, 17789, 1066, 630, 10955, 13776, 966, 564, 839, 330, 777, 4614, 9461, 522, 577, 585, 12921, 11789, 5471, 18344, 1775, 2588, 321, 843, 11789, 23439, 839, 330, 777, 267, 715, 4405, 522, 577, 737, 738, 584, 563, 293, 592, 7815, 267, 717, 269, 630, 1220, 274, 1040, 13281, 2034, 1893, 6340, 269, 30296, 563, 2378, 2983, 6359, 518, 560, 600, 267, 3331, 483, 269, 630, 1220, 277, 1040, 5900, 1236, 337, 10216, 1775, 562, 4405, 528, 1304, 518, 663, 324, 3331, 353, 19282, 523, 1775, 1236, 565, 534, 269, 772, 653, 338, 8403, 2160, 563, 295, 718, 6118, 267, 631, 269, 589, 269, 918, 269, 630, 3192, 279, 1040, 5678, 607, 1514, 5033, 8438, 281, 634, 1514, 7664, 540, 1893, 543, 2495, 269, 11977, 28199, 563, 295, 718, 6118, 267, 631, 269, 589, 269, 918, 1421, 1299, 4223, 628, 328, 612, 523, 267, 595, 269, 631, 269, 594, 269, 631, 269, 630, 1220, 275, 1040, 1323, 4367, 547, 6198, 8239, 630, 274, 12175, 28199, 563, 13900, 1091, 5424, 267, 590, 1421, 1299, 9966, 874, 787, 267, 590, 269, 630, 1001, 271, 1040, 4635, 519, 1505, 540, 6292, 3772, 6476, 547, 3489, 6325, 4116, 10526, 269, 634, 8241, 12409, 1763, 792, 7815, 267, 476, 4391, 263, 273, 1070, 476, 272, 1700, 866, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 20324, 293, 271, 3953, 15433, 866, 454, 295, 11839, 267, 681, 269, 630, 1001, 271, 1040, 769, 17192, 540, 23153, 1143, 281, 589, 7874, 16472, 540, 7720, 16660, 779, 2048, 322, 718, 585, 1689, 685, 538, 6281, 7924, 269, 4750, 540, 32183, 1299, 16989, 17402, 267, 476, 7918, 263, 275, 1070, 476, 29045, 1700, 24129, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14689, 279, 32434, 288, 3201, 269, 7918, 269, 275, 269, 275, 454, 24109, 874, 787, 267, 590, 269, 630, 1001, 278, 1040, 14288, 2148, 9313, 538, 519, 1647, 1296, 281, 589, 5943, 585, 7393, 4116, 1702, 543, 2875, 9740, 269, 30296, 563, 24109, 874, 787, 267, 590, 1421, 1299, 4477, 1091, 5424, 267, 590, 269, 630, 1708, 271, 1040, 589, 1079, 22533, 1505, 585, 13844, 6325, 4116, 10526, 540, 1603, 269, 13571, 4536, 538, 4065, 267, 476, 276, 267, 476, 277, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 24783, 280, 11721, 14445, 269, 1708, 271, 269, 1822, 6187, 454, 24109, 874, 787, 267, 590, 1421, 1299, 17755, 8735, 267, 808, 269, 589, 269, 630, 1001, 276, 1040, 4982, 908, 513, 1804, 8397, 1603, 4879, 1210, 6292, 3772, 16198, 540, 12644, 269, 8241, 12409, 1763, 792, 7815, 267, 476, 5655, 263, 275, 1070, 476, 4510, 274, 1700, 29121, 269, 4317, 3163, 20031, 1756, 14635, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 15836, 10019, 268, 26522, 268, 28318, 279, 268, 277, 454, 295, 18033, 1633, 267, 589, 269, 630, 1001, 277, 1040, 2598, 9918, 7924, 538, 10026, 1153, 281, 1215, 513, 10010, 2875, 7158, 9887, 607, 513, 5856, 269, 634, 7335, 11819, 267, 476, 3583, 263, 275, 1070, 476, 3393, 278, 1700, 5379, 279, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 273, 14121, 4135, 337, 269, 15150, 272, 454, 296, 7079, 328, 29845, 681, 269, 630, 1220, 275, 1040, 5494, 12973, 540, 1603, 543, 1565, 547, 2328, 269, 5678, 543, 4065, 267, 476, 1240, 263, 274, 1070, 476, 13136, 1700, 25090, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 271, 4817, 23669, 3199, 275, 5400, 277, 5780, 279, 6507, 454, 298, 333, 5255, 267, 772, 269, 630, 1001, 272, 1040, 28951, 10253, 585, 10368, 4879, 540, 1603, 281, 1548, 1058, 789, 1413, 899, 543, 1141, 1058, 519, 7355, 2097, 689, 286, 30487, 5675, 267, 476, 1626, 263, 273, 1070, 476, 10037, 1700, 9834, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 553, 342, 269, 1001, 272, 269, 6349, 269, 19740, 454, 299, 5964, 267, 681, 269, 630, 3422, 272, 264, 5678, 4152, 281, 634, 4070, 543, 946, 540, 4914, 1893, 4255, 281, 589, 4116, 781, 1433, 269, 17755, 3863, 10830, 563, 299, 9734, 267, 808, 269, 589, 269, 630, 1960, 273, 1040, 7335, 267, 1603, 543, 9135, 1646, 269, 769, 808, 269, 654, 269, 7054, 7773, 1299, 631, 269, 589, 269, 667, 1195, 548, 630, 32295, 13776, 7335, 270, 8586, 4296, 281, 4804, 689, 1382, 267, 476, 3953, 1700, 7918, 269, 4139, 7335, 5948, 563, 299, 6856, 327, 7572, 267, 631, 1421, 20707, 531, 267, 570, 269, 8709, 267, 11709, 13937, 572, 267, 681, 1421, 3213, 1068, 329, 839, 267, 700, 1421, 1299, 5213, 3832, 267, 966, 269, 630, 1001, 279, 1040, 1879, 3610, 5635, 12819, 5931, 281, 5463, 2888, 5483, 676, 2789, 1950, 3344, 540, 1257, 2298, 269, 700, 272, 12409, 5525, 538, 5678, 543, 9085, 267, 476, 1240, 267, 476, 272, 1700, 2420, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15094, 4375, 13624, 272, 2464, 17247, 268, 1001, 279, 269, 1240, 269, 4905, 269, 6349, 454, 299, 756, 1120, 267, 595, 269, 630, 1001, 275, 1040, 5900, 5657, 320, 9631, 538, 928, 327, 18033, 961, 522, 577, 3331, 353, 332, 5886, 560, 7564, 7825, 528, 1775, 6173, 23753, 614, 1775, 22619, 27004, 1236, 565, 18033, 337, 269, 769, 681, 269, 670, 341, 626, 754, 22844, 1299, 589, 269, 681, 4141, 630, 32295, 13776, 1325, 548, 512, 11107, 562, 832, 330, 323, 573, 752, 339, 32304, 281, 674, 3949, 330, 337, 3424, 21266, 2605, 7238, 344, 4134, 670, 1068, 345, 6199, 533, 18033, 476, 3583, 268, 18033, 3464, 323, 10402, 630, 653, 269, 476, 15221, 1700, 14444, 1916, 299, 756, 1120, 267, 595, 1421, 28477, 2044, 323, 267, 808, 10154, 654, 1421, 7192, 2983, 6359, 518, 560, 600, 267, 3331, 483, 1421, 1299, 20918, 331, 1495, 267, 589, 269, 630, 1708, 273, 1040, 11334, 685, 2911, 827, 1762, 1053, 685, 1603, 540, 2239, 543, 21141, 5931, 269, 5675, 1299, 16677, 698, 9609, 267, 476, 1724, 263, 272, 1700, 274, 1070, 476, 8687, 1700, 18684, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14028, 279, 11320, 777, 269, 21497, 4510, 454, 299, 756, 1120, 267, 595, 1421 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 299, 785, 8124, 729, 8338, 693, 2542, 7851, 982, 6307, 1317, 14811, 8124, 1185, 513, 4057, 2631, 540, 4287, 269, 0, 9223, 281, 634, 27705, 18533, 540, 6424, 676, 5213, 520, 10314, 2982, 6424, 8066, 1018, 538, 1010, 1318, 1688, 888, 12585, 281, 575, 10008, 987, 779, 18156, 0, 9223, 281, 654, 23808, 5058, 307, 2177, 630, 3725, 26407, 264, 910, 4658, 945, 4235, 1079, 610, 811, 6653, 2989, 2571, 10425, 513, 3018, 723, 513, 1454, 2362, 1981, 540, 25524, 2860, 476, 2073, 606, 8966, 855, 14686, 2860, 267, 3173, 4080, 593, 11728, 269, 4658, 945, 1743, 1678, 6140, 4829, 10433, 3079, 540, 7091, 553, 1705, 711, 723, 519, 1482, 1981, 267, 519, 1353, 540, 476, 2568, 267, 1822, 1004, 538, 14135, 1336, 269, 17491, 949, 581, 547, 16620, 855, 1004, 945, 4235, 6653, 2989, 7091, 553, 5781, 1419, 723, 824, 4057, 1072, 6208, 267, 1767, 4460, 28828, 4275, 540, 519, 2160, 540, 16506, 267, 945, 3366, 519, 1353, 269, 834, 763, 1164, 2157, 540, 4006, 538, 2571, 10425, 949, 581, 2810, 519, 1377, 540, 7378, 538, 519, 1560, 267, 799, 649, 1589, 8309, 547, 25524, 2860, 1591, 2208, 2437, 28828, 4275, 1767, 538, 513, 3948, 269, 5675, 538, 519, 4760, 9435, 25731, 5735, 267, 29119, 1046, 619, 1299, 10644, 267, 28828, 4275, 543, 9164, 1767, 789, 4553, 476, 2568, 267, 276, 2190, 2367, 543, 2021, 538, 519, 14135, 4457, 2657, 5530, 585, 476, 1691, 1296, 269, 3683, 602, 942, 267, 476, 9610, 540, 519, 13538, 2919, 25524, 2860, 269, 8409, 945, 1743, 1678, 1079, 610, 811, 2571, 10425, 513, 3018, 1185, 606, 476, 9262, 2600, 2362, 1981, 540, 1373, 1851, 1346, 945, 3893, 25524, 2860, 269, 28828, 4275, 1767, 646, 5156, 519, 4681, 1131, 4019, 11992, 269, 834, 306, 532, 12940, 568, 513, 14547, 2197, 609, 5140, 3782, 269, 674, 2948, 924, 2250, 1307, 476, 616, 4189, 543, 10918, 267, 865, 519, 4681, 1058, 4019, 547, 824, 7262, 2477, 2437, 646, 1767, 269, 1809, 19626, 2904, 928, 540, 519, 23171, 9435, 4741, 693, 23171, 2160, 538, 21086, 729, 18762, 269, 834, 7212, 713, 1353, 1336, 513, 1981, 267, 519, 4466, 729, 1759, 593, 513, 476, 11430, 1507, 1297, 540, 2665, 543, 621, 3788, 15458, 2436, 621, 568, 513, 21465, 4276, 610, 711, 2437, 1767, 2904, 928, 267, 945, 5713, 593, 519, 4604, 540, 519, 4760, 267, 799, 568, 3370, 676, 519, 1977, 5948, 585, 9435, 3194, 269, 623, 4545, 805, 545, 2860, 568, 835, 540, 519, 4666, 31586, 3029, 540, 2860, 267, 609, 476, 15996, 267, 1822, 2665, 11451, 269, 769, 519, 2136, 2276, 267, 476, 4391, 267, 27151, 1004, 616, 8995, 609, 25524, 2860, 538, 513, 1032, 543, 476, 4097, 267, 23310, 5884, 540, 621, 269, 634, 1655, 2140, 540, 519, 1257, 1522, 581, 567, 9041, 476, 4586, 288, 269, 634, 16458, 31586, 22553, 540, 9435, 454, 289, 269, 590, 1872, 776, 9941, 3220, 3855, 8048, 547, 9435, 454, 290, 269, 589, 5530, 538, 2160, 540, 16506, 454, 291, 269, 27276, 22500, 4236, 823, 5502, 540, 590, 617, 553, 454, 12585, 281, 667, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 5420, 20695, 2025, 17180, 834, 536, 834, 2025, 5420, 20695, 17180, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 9223, 281, 3767, 267, 296, 3513, 2995, 596, 1945, 827, 519, 5769, 7868, 5769, 568, 513, 3060, 540, 5904, 20193, 2968, 2442, 538, 519, 476, 1960, 271, 338, 269, 3086, 267, 933, 2661, 538, 519, 5769, 6520, 7868, 5769, 568, 1360, 3730, 269, 2791, 666, 1205, 1344, 267, 4777, 930, 10918, 610, 2911, 609, 1004, 782, 936, 519, 1158, 269, 2791, 666, 798, 782, 891, 1919, 538, 707, 1378, 4055, 269, 1411, 666, 1305, 909, 707, 1378, 2230, 593, 519, 5769, 269, 2171, 1289, 621, 513, 1753, 2457, 20193, 781, 1930, 547, 4896, 538, 519, 1158, 269, 2237, 707, 5048, 593, 707, 1753, 2457, 2529, 3019, 267, 9767, 666, 1205, 4267, 676, 4757, 689, 1004, 1472, 519, 1158, 269, 634, 5769, 568, 849, 3730, 950, 513, 6360, 610, 606, 13091, 4523, 12341, 538, 519, 1158, 269, 2171, 666, 1451, 827, 519, 2115, 540, 519, 1004, 972, 543, 6494, 873, 1426, 543, 4915, 811, 3533, 982, 1354, 269, 769, 519, 1158, 540, 519, 5769, 267, 22336, 821, 568, 3160, 12171, 13904, 5830, 267, 691, 1235, 25467, 3744, 734, 16269, 616, 782, 707, 2828, 6993, 18822, 1268, 666, 1256, 1265, 513, 5048, 689, 519, 7022, 540, 513, 2197, 269, 2368, 1004, 6336, 2933, 538, 519, 1158, 540, 519, 5769, 269, 6546, 781, 2731, 3983, 269, 8855, 602, 519, 1158, 540, 519, 5769, 568, 711, 513, 1483, 1158, 12171, 659, 564, 1993, 864, 2792, 609, 1920, 267, 325, 12188, 25467, 30256, 568, 1360, 1271, 6185, 517, 1405, 7340, 602, 519, 5769, 568, 1152, 513, 1907, 585, 2792, 543, 1344, 269, 3509, 1004, 2161, 602, 519, 5769, 814, 930, 2042, 267, 8117, 1034, 1004, 3858, 519, 5769, 1869, 814, 513, 8748, 2104, 269, 2690, 519, 1101, 942, 538, 1686, 267, 1415, 821, 666, 5385, 6835, 543, 1344, 5612, 609, 824, 1004, 269, 1284, 12582, 1405, 6336, 6000, 538, 519, 1158, 540, 519, 5769, 567, 9041, 476, 4586, 288, 269, 1317, 519, 1158, 540, 519, 5769, 568, 513, 1483, 1158, 454, 289, 269, 1317, 2792, 609, 1920, 543, 2828, 568, 811, 1271, 454, 290, 269, 1317, 519, 5769, 568, 711, 1152, 513, 1907, 585, 2792, 543, 1344, 454, 291, 269, 1317, 621, 1281, 513, 2603, 540, 2800, 547, 938, 1560, 543, 2247, 454, 12585, 281, 645, 0, 9223, 281, 6904, 2489, 267, 4583, 585, 1010, 4108, 7518, 1080, 1996, 519, 3943, 538, 519, 16486, 4577, 12668, 729, 4535, 538, 29161, 538, 476, 12293, 272, 543, 5747, 538, 8050, 538, 476, 5197, 280, 15017, 12585, 281, 27205, 14646, 4779, 648, 0, 9223, 281, 4065, 543, 9751, 5269, 2386, 707, 1983, 616, 909, 3562, 15082, 1403, 596, 2811, 3168, 585, 513, 1007, 2816, 610, 596, 1616, 547, 1689, 707, 4876, 267, 2348, 909, 3562, 15082, 1983, 568, 519, 1883, 547, 513, 3811, 2816, 3406, 543, 707, 2104, 15980, 1379, 269, 7994, 519, 1318, 2866, 1403, 596, 991, 2866, 547, 1451, 1007, 1983, 610, 3986, 4540, 1983, 267, 1118, 2386, 596, 3893, 547, 917, 519, 1739, 2433, 1548, 2866, 1982, 568, 519, 1655, 585, 596, 286, 1215, 786, 596, 2628, 585, 707, 2866, 286, 1411, 991, 547, 2015, 782, 891, 543, 811, 950, 596, 3442, 707, 2866, 269, 9612, 585, 2866, 7426, 12590, 1153, 1344, 568, 1500, 2139, 676, 519, 12590, 4876, 1344, 1062, 630, 290, 3041, 1040, 901, 15682, 2882, 1034, 540, 519, 2866, 7426, 543, 12621, 538, 519, 2829, 269, 634, 1239, 585, 4123, 3506, 6227, 3292, 267, 23504, 267, 16131, 543, 3790, 269, 2677, 18587, 585, 1079, 4458, 267, 2185, 4458, 267, 543, 10927, 3506, 1331, 1344, 827, 1153, 2450, 267, 4259, 267, 3292, 267, 23504, 267, 16131, 267, 543, 3790, 269, 589, 3095, 547, 519, 1153, 781, 5769, 1753, 2985, 568, 3177, 950, 2139, 269, 6258, 827, 519, 24573, 584, 658, 2866, 1982, 634, 24573, 584, 658, 2866, 1982, 630, 4953, 303, 264, 2488, 2866, 543, 2930, 6351, 547, 2043, 609, 1434, 1870, 2093, 543, 519, 7287, 547, 1376, 741, 1378, 1870, 269, 6258, 827, 2561, 1370, 1182, 1222, 3292, 10406, 540, 22961, 823, 2866, 568, 513, 1062, 585, 3450, 3810, 2930, 1983, 998, 513, 4999, 540, 593, 7308, 18191, 984, 2866, 543, 1644, 4928, 6044, 269, 4746, 267, 621, 568, 3743, 585, 5009, 267, 3384, 543, 3246, 2533, 585, 29095, 1222, 3292, 538, 519, 1533, 269, 3509, 22961, 823, 3292, 616, 538, 2757, 2679, 4123, 2127, 971, 607, 2961, 335, 18782, 267, 15379, 543, 11635, 1740, 269, 769, 1840, 267, 22961, 823, 3292, 616, 1373, 2919, 538, 2127, 971, 607, 6176, 5303, 267, 30914, 543, 16010, 267, 4132, 3249, 267, 26943, 2435, 8551, 543, 17791, 20664, 269, 2422, 6732, 8249, 13017, 2047, 547, 519, 7270, 540, 12621, 543, 9945, 538, 519, 1533, 540, 12590, 269, 10812, 824, 2228, 2816, 12240, 269, 6904, 540, 519, 1739, 6898, 568, 3020, 888, 288, 269, 1403, 594, 1616, 547, 1265, 1344, 827, 513, 2185, 4458, 1153, 267, 594, 1058, 5077, 661, 9143, 563, 289, 269, 595, 3041, 2337, 547, 5721, 2816, 32339, 563, 290, 269, 2561, 1370, 823, 3292, 1683, 2866, 538, 2127, 899, 2961, 335, 18782, 267, 15379, 543, 11635, 960, 563, 291, 269, 2201, 7308, 18191, 984, 2866, 568, 25471, 585, 1346, 945, 1616, 547, 1376, 741, 1378, 1870, 563, 12585, 281, 595, 0, 9223, 281, 6904, 10786, 568, 2356, 1031, 607, 519, 1292, 12146, 538, 2757, 11641, 334, 888, 12585, 281, 24958, 0, 2419, 25891, 3574, 281, 1323, 4949, 26520, 538, 513, 15468, 3529, 269, 589, 812, 26717, 909, 519, 4949, 267, 543, 669, 3591, 519, 17657, 540, 519, 3529, 269, 1261, 5170, 14299, 4771, 2394, 519, 2845, 568, 538, 3368, 267, 1287, 15211, 2476, 269, 0, 9223, 281, 13322, 13090, 814, 6286, 585, 4835, 14496, 543, 13322, 13090, 814, 6286, 585, 5007, 14496, 563, 288, 269, 6970, 639, 1275, 267, 2489, 714, 1464, 454, 289, 269, 15932, 7084, 267, 4351, 5542, 454, 290, 269, 15932, 5542, 267, 4351, 7084, 454, 291, 269, 7843, 1602, 531, 9551, 775, 267, 20060, 20580, 1190, 1145, 454, 12585, 281, 645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 274, 267, 476, 279, 3910, 275, 267, 314, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 29573, 825, 4530, 2891, 14818, 273, 2580, 1496, 275, 267, 476, 276, 267, 476, 272, 267, 476, 277, 267, 476, 273, 267, 476, 278, 267, 476, 274, 267, 476, 279, 3910, 476, 279, 267, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 29573, 825, 4530, 2891, 14818, 274, 2580, 1496, 275, 267, 476, 276, 267, 476, 272, 267, 476, 277, 267, 476, 273, 267, 476, 278, 267, 476, 274, 267, 476, 279, 3910, 476, 1015, 267, 7183, 3418, 825, 4530, 2891, 14818, 275, 2580, 1496, 275, 267, 476, 276, 267, 476, 272, 267, 476, 277, 267, 476, 273, 267, 476, 278, 267, 476, 274, 267, 476, 279, 3910, 476, 272, 267, 1496, 272, 29573, 825, 4530, 2891, 14818, 276, 2580, 1496, 275, 267, 476, 276, 267, 476, 272, 267, 476, 277, 267, 476, 273, 267, 476, 278, 267, 476, 274, 267, 476, 279, 3910, 476, 271, 267, 7183, 3418, 825, 4530, 2891, 14818, 277, 2580, 1496, 275, 267, 476, 276, 267, 476, 272, 267, 476, 277, 267, 476, 273, 267, 476, 278, 267, 476, 273, 267, 476, 279, 3910, 274, 267, 314, 272, 267, 273, 29573, 825, 4530, 2891, 14818, 278, 2580, 1496, 3910, 476, 271, 267, 7183, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24495, 545, 1242, 1913, 543, 2453, 20057, 1194, 936, 519, 2985, 281, 890, 345, 2019, 11456, 630, 325, 2391, 3165, 1070, 1714, 27764, 11391, 334, 524, 3120, 586, 562, 657, 544, 1092, 630, 5503, 646, 1023, 543, 19754, 721, 1070, 521, 1120, 25366, 2507, 342, 7159, 1700, 6343, 286, 3143, 971, 2262, 538, 5053, 269, 2701, 1590, 1611, 521, 1173, 550, 334, 630, 338, 10235, 656, 1040, 3807, 513, 1462, 334, 602, 18864, 9575, 269, 1809, 1100, 267, 521, 1120, 25366, 5526, 538, 2985, 1310, 2985, 1700, 527, 315, 685, 338, 711, 513, 1462, 334, 563, 10190, 972, 616, 519, 20020, 7436, 269, 6884, 789, 616, 2322, 1141, 789, 315, 685, 516, 2877, 269, 10705, 267, 789, 616, 20495, 269, 1656, 3006, 789, 616, 4294, 1141, 789, 1810, 315, 685, 339, 4866, 267, 585, 22406, 1198, 563, 310, 16017, 982, 519, 20020, 1966, 616, 2101, 21342, 9073, 971, 607, 1700, 1729, 2446, 1175, 835, 1700, 5979, 535, 13610, 630, 6518, 2306, 1100, 2631, 264, 585, 3138, 535, 1872, 1794, 630, 6518, 1797, 267, 602, 799, 568, 7904, 7566, 1040, 5899, 1052, 875, 602, 2063, 27901, 2306, 971, 513, 3017, 269, 634, 1292, 1915, 568, 2016, 1896, 3255, 547, 2992, 593, 519, 7904, 7566, 1145, 540, 1919, 538, 2489, 267, 543, 1169, 942, 519, 12161, 568, 7368, 563, 2252, 519, 5856, 1223, 711, 8373, 9887, 547, 2786, 523, 856, 1200, 5053, 267, 15983, 22489, 31890, 1223, 723, 838, 1563, 513, 1906, 4627, 9489, 547, 16926, 513, 10927, 2875, 547, 6169, 585, 1893, 6959, 286, 6183, 622, 5053, 10529, 616, 607, 2673, 607, 519, 14282, 2852, 269, 1284, 315, 685, 516, 711, 7231, 609, 5395, 2692, 4211, 9130, 1014, 1934, 267, 855, 609, 513, 1893, 602, 930, 2161, 786, 4166, 581, 9275, 676, 811, 4892, 982, 2296, 563, 296, 723, 1419, 561, 13774, 1117, 693, 519, 1259, 13962, 27487, 14649, 20020, 7436, 14477, 936, 741, 8638, 540, 1303, 4181, 265, 585, 8137, 267, 519, 1259, 22730, 20057, 548, 16815, 1889, 936, 519, 3552, 2275, 4381, 13687, 269, 1809, 634, 30086, 10044, 568, 711, 513, 10624, 267, 543, 22489, 31890, 568, 513, 30856, 13629, 2777, 563, 11917, 16227, 267, 9444, 519, 5856, 267, 6862, 519, 15769, 543, 21101, 25374, 2614, 547, 1118, 2386, 602, 519, 5053, 729, 2953, 267, 543, 602, 568, 513, 1244, 7675, 2219, 269, 4892, 616, 679, 600, 1819, 540, 18371, 1143, 267, 855, 1617, 13308, 1143, 3085, 315, 685, 339, 3100, 3833, 607, 11509, 267, 543, 621, 568, 513, 2603, 540, 960, 563, 296, 1131, 723, 1454, 9053, 519, 1433, 547, 946, 2296, 2429, 267, 759, 6326, 5053, 585, 1697, 4408, 543, 1141, 11613, 2556, 269, 898, 315, 685, 338, 519, 946, 540, 5053, 607, 513, 16560, 31074, 602, 1055, 1742, 803, 267, 543, 602, 15983, 814, 29813, 4236, 3570, 769, 525, 265, 632, 3288, 30434, 267, 4239, 822, 1470, 623, 1794, 267, 24883, 17540, 550, 525, 543, 824, 5165, 15092, 540, 21184, 21389, 603, 532, 538, 741, 30401, 563, 28949, 5637, 1913, 991, 31126, 267, 855, 1250, 3301, 3085, 315, 685, 339, 1450, 621, 269, 1809, 1287, 267, 594, 315, 685, 332, 711, 22489, 31890, 8094, 3719, 596, 1058, 581, 835, 540, 741, 15769, 543, 621, 1131, 581, 513, 1390, 595, 12396, 4876, 4781, 563, 17764, 267, 602, 1131, 1102, 584, 5573, 803, 269, 594, 1265, 594, 993, 2864, 703, 26985, 952, 594, 267, 513, 2241, 5467, 267, 1265, 538, 3147, 340, 20874, 538, 513, 1433, 602, 606, 2278, 1058, 723, 4857, 907, 594, 7948, 1405, 9096, 513, 1433, 602, 729, 1936, 730, 676, 519, 1915, 267, 4358, 607, 606, 21872, 6158, 693, 519, 4090, 540, 610, 326, 11047, 1107, 9811, 267, 1256, 840, 8410, 4003, 256, 594, 7948, 1405, 1205, 2250, 519, 1101, 2985, 610, 1079, 269, 634, 1964, 540, 1250, 1433, 743, 889, 6068, 519, 1433, 269, 594, 15189, 547, 1224, 621, 256, 594, 4312, 4440, 5018, 1354, 602, 594, 4312, 849, 32344, 569, 7911, 20799, 1540, 700, 821, 569, 14136, 20929, 2094, 594, 1336, 538, 835, 540, 519, 10854, 330, 758, 10274, 602, 789, 1185, 26518, 513, 19463, 13962, 2196, 676, 606, 5863, 17493, 264, 1107, 595, 13741, 1137, 543, 9473, 1682, 1107, 630, 553, 513, 2156, 1492, 331, 269, 5272, 1163, 520, 538, 10854, 330, 758, 6785, 602, 269, 5272, 21487, 6785, 602, 269, 898, 729, 4583, 269, 22682, 267, 1256, 10026, 1382, 568, 1236, 5792, 950, 1603, 891, 2835, 2336, 332, 337, 321, 267, 855, 1152, 952, 519, 21101, 4769, 1405, 20818, 1022, 21852, 256, 300, 8932, 267, 594, 1265, 602, 1256, 538, 2835, 2854, 14311, 538, 2296, 519, 2298, 540, 11049, 814, 17379, 269, 1411, 616, 865, 1318, 602, 6959, 543, 538, 3147, 340, 20874, 616, 16297, 532, 1700, 3697, 513, 4190, 12837, 609, 22156, 9575, 1063, 519, 4522, 563, 2005, 1131, 723, 1044, 1732, 782, 538, 2296, 269, 594, 1589, 827, 519, 2835, 538, 8144, 594, 4312, 1224, 1700, 11321, 4302, 345, 267, 16907, 2471, 267, 3092, 269, 1700, 663, 741, 5931, 5749, 1405, 890, 653, 1229, 609, 5053, 2453, 269, 6153, 1257, 12582, 1405, 991, 602, 269, 2986, 1576, 594, 1745, 519, 1482, 827, 1004, 267, 538, 1268, 267, 945, 17277, 883, 1776, 1893, 950, 741, 5304, 3085, 1405, 723, 519, 1482, 4282, 269, 1403, 596, 616, 31402, 538, 519, 1893, 3838, 676, 519, 1004, 1472, 596, 267, 3247, 6029, 1055, 269, 594, 1810, 1405, 1611, 538, 2665, 950, 267, 2161, 267, 1250, 3659, 24883, 12909, 547, 1010, 3993, 538, 5053, 1247, 649, 2811, 972, 1700, 296, 1611, 950, 1004, 6430, 547, 1175, 12235, 1919, 883, 6643, 6616, 3025, 3116, 568, 4503, 269, 3943, 267, 5053, 267, 8726, 563, 296, 917, 1018, 596, 1611, 269, 594, 729, 6026, 602, 547, 3717, 547, 1776, 1367, 538, 513, 1893, 602, 519, 1964, 540, 519, 1895, 3085, 1405, 2671, 568, 607, 678, 8775, 607, 22090, 27128, 538, 2576, 781, 1274, 538, 519, 1647, 540, 513, 1895, 6643, 563, 288, 1034, 5140, 2022, 609, 1034, 5140, 2798, 269, 5591, 835, 6499, 547, 2628, 15769, 513, 546, 830, 15042, 269, 11565, 803, 593, 713, 563, 5715, 15282, 267, 6148, 621, 781, 15769, 945, 1058, 581, 2016, 513, 2370, 811, 2463, 630, 328, 4318, 1421, 2724, 1070, 543, 1287, 649, 3988, 9327, 1405, 723, 547, 7985, 865, 20494, 341, 3585, 563, 1432, 5949, 547, 519, 5816, 17609, 2427, 8663, 286, 594, 4553, 930, 540, 707, 13794, 1932, 9462, 502, 487, 454, 3383, 20994, 269, 594, 6415, 3843, 547, 1118, 1919, 1732, 543, 538, 519, 29291, 789, 4312, 20335, 8338, 269, 18248, 1592, 786, 31272, 792, 4166, 563, 296, 1175, 8737, 634, 30086, 10044, 543, 723, 1044, 986, 9535, 1250, 2634, 1946, 1352, 1131, 3442, 519, 7969, 521, 1120, 25366, 936, 519, 5053, 521, 1173, 550, 334, 269, 12984, 972, 1945, 594, 14406, 269, 594, 15983, 1131, 4126, 713, 729, 711, 8806, 513, 12161, 563, 2005, 568, 606, 5413, 547, 723, 1896, 4654, 1107, 543, 5616, 547, 5402, 1413, 909, 4376, 3116, 594, 1522, 991, 630, 11484, 553, 1308, 11353, 540, 5824, 1040, 898, 11479, 803, 21173, 950, 1004, 946, 5053, 27235, 1107, 621, 781, 711, 602, 2182, 547, 1205, 621, 1318, 256, 31453, 594, 798, 2328, 513, 2582, 1915, 945, 4991, 1919, 4636, 593, 3483, 269, 0, 5978, 1158, 538, 519, 476, 2641, 560, 2540, 568, 2469, 998, 513, 31341, 6681, 1974, 538, 519, 12687, 540, 14051, 543, 2804, 12666, 1436, 269, 589, 1808, 1858, 538, 799, 519, 2242, 1500, 723, 1044, 3226, 21472, 568, 602, 540, 519, 1604, 543, 14498, 269, 898, 568, 11130, 1934, 602, 519, 5821, 593, 519, 851, 540, 2413, 2825, 11407, 547, 24808, 519, 20494, 341, 1734, 540, 1346, 4299, 676, 2825, 4145, 543, 2042, 568, 5097, 3743, 585, 519, 3395, 967, 29924, 267, 538, 9146, 543, 3668, 540, 2797, 786, 538, 519, 1857, 6389, 269, 1547, 4653, 267, 519, 1604, 568, 1175, 1776, 8257, 540, 2229, 7245, 543, 513, 6752, 762, 1641, 585, 6280, 1353, 563, 6624, 540, 519, 10862, 2825, 2152, 585, 519, 2027, 9742, 540, 2825, 1235, 543, 1533, 8128, 723, 1044, 8032, 676, 5375, 4145, 543, 2291, 3274, 547, 14883, 547, 741, 16431, 543, 7158, 269, 901, 814, 3366, 547, 513, 2347, 23304, 731, 585, 2152, 602, 2047, 1860, 2950, 543, 741, 1604, 267, 971, 607, 20443, 14700, 267, 5757, 5533, 267, 2011, 5533, 267, 610, 513, 10565, 7771, 543, 14897, 766, 540, 2030, 267, 3662, 610, 1285, 2103, 269, 2353, 540, 891, 2188, 723, 8329, 547, 513, 2631, 540, 32238, 543, 3668, 540, 1022, 1483, 4276, 547, 930, 540, 519, 3096, 543, 28407, 540, 2067, 2200, 13994, 4327, 676, 2442, 2825, 27964, 269, 769, 4334, 547, 971, 513, 12809, 267, 17181, 626, 543, 1875, 12268, 4602, 2218, 1110, 1275, 267, 519, 6805, 2070, 540, 1604, 543, 14498, 538, 519, 19114, 3217, 513, 4625, 1114, 1935, 547, 2825, 2152, 269, 6333, 713, 12563, 9661, 540, 1480, 2914, 843, 5158, 4655, 1851, 519, 4911, 9564, 18491, 553, 19942, 1524, 538, 741, 5711, 2245, 912, 2108, 5629, 2390, 513, 942, 972, 729, 513, 7008, 945, 1185, 513, 1762, 7911, 269, 1358, 6068, 741, 5067, 865, 1454, 602, 646, 729, 2760, 3144, 547, 960, 538, 519, 4610, 269, 1717, 267, 621, 5828, 856, 602, 1247, 519, 3993, 543, 4651, 941, 2324, 538, 519, 2361, 267, 513, 554, 867, 324, 540, 3552, 1630, 1513, 4797, 547, 6861, 741, 7031, 269, 1358, 6836, 547, 6968, 585, 519, 14951, 855, 1510, 1967, 1142, 942, 269, 901, 3510, 16768, 585, 930, 942, 2394, 741, 12543, 5143, 519, 5067, 875, 1010, 3237, 941, 11112, 31743, 3552, 1630, 1513, 689, 741, 2361, 543, 3357, 1394, 24986, 1169, 1554, 1247, 646, 18423, 693, 1753, 269, 634, 5067, 2390, 6217, 713, 8325, 2989, 1010, 546, 7776, 543, 27490, 543, 4682, 547, 6968, 1630, 1513, 1510, 1010, 3237, 6616, 563, 5629, 646, 8452, 693, 519, 2361, 267, 646, 4718, 1082, 3552, 1630, 1513, 14124, 519, 7031, 269, 1261, 32170, 519, 14951, 602, 23012, 883, 513, 1309, 591, 333, 748, 8486, 2484, 689, 519, 2361, 269, 1261, 4553, 873, 883, 519, 8486, 543, 2663, 4362, 602, 646, 1185, 9411, 519, 6891, 8498, 269, 1703, 646, 1558, 513, 8004, 7555, 538, 519, 13452, 540, 1200, 2777, 269, 1306, 4166, 607, 1352, 4718, 1864, 267, 1352, 586, 8215, 693, 1864, 1317, 646, 729, 4881, 1310, 1010, 1630, 1513, 269, 1261, 15527, 676, 7713, 875, 1010, 14918, 17696, 543, 10032, 1010, 3237, 685, 7031, 269, 2701, 4280, 1864, 547, 3247, 10122, 1630, 1513, 543, 14376, 1864, 547, 1200, 2777, 269, 2701, 5423, 1426, 543, 4235, 585, 1864, 543, 789, 4797, 547, 2911, 2394, 519, 10543, 269, 1306, 519, 942, 585, 1200, 3237, 547, 2097, 1753, 14059, 267, 1352, 15336, 547, 513, 30361, 538, 519, 2777, 543, 4573, 339, 1229, 513, 11963, 267, 968, 1492, 6149, 10741, 892, 543, 607, 4166, 607, 1352, 1767, 602, 267, 519, 30361, 521, 8118, 543, 1352, 554, 573, 519, 1762, 812, 3330, 269, 540, 1010, 3237, 563, 5629, 1200, 3237, 2451, 519, 2777, 519, 1985, 1554, 267, 1352, 1131, 5305, 519, 1762, 812, 1586, 543, 789, 1131, 6108, 741, 942, 1927, 269, 901, 4797, 585, 930, 942, 543, 789, 4166, 8593, 538, 2648, 543, 4956, 547, 1205, 9310, 269, 2290, 3781, 519, 8004, 4280, 1200, 3237, 547, 9886, 1200, 513, 6999, 543, 519, 3237, 931, 5034, 269, 1924, 1352, 5143, 873, 827, 519, 3618, 569, 7911, 543, 1287, 4682, 547, 519, 30361, 543, 1767, 267, 968, 1492, 6149, 10741, 892, 543, 519, 1762, 812, 7153, 269, 4595, 519, 1762, 812, 729, 3946, 727, 267, 519, 3237, 8815, 547, 1577, 873, 19533, 269, 634, 3237, 1287, 5423, 1079, 30504, 547, 4163, 547, 519, 1762, 812, 779, 8498, 267, 9963, 873, 711, 547, 1930, 519, 11127, 2394, 789, 6603, 741, 10278, 269, 2060, 741, 30504, 267, 519, 7008, 941, 827, 547, 4734, 585, 519, 812, 779, 2777, 267, 593, 519, 1259, 519, 1762, 812, 1223, 711, 2270, 1010, 7279, 543, 8118, 1010, 11127, 269, 1306, 4166, 607, 1010, 11127, 729, 8118, 267, 9118, 2831, 3323, 17259, 856, 540, 519, 11127, 543, 19679, 883, 519, 4104, 269, 2201, 519, 824, 1688, 267, 519, 1762, 8004, 6603, 519, 8498, 609, 1200, 796, 641, 2989, 11127, 543, 689, 1200, 11127, 3357, 1082, 2831, 602, 2968, 2221, 779, 10130, 269, 4475, 267, 6469, 2831, 616, 1572, 2021, 779, 2831, 543, 3552, 2831, 616, 1572, 2367, 779, 2831, 563, 763, 1657, 1650, 568, 513, 2189, 1650, 540, 1480, 12845, 2711, 4655, 6394, 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 ]
[ 723, 1831, 4583, 543, 2442, 1813, 547, 519, 4908, 540, 741, 6165, 610, 519, 598, 920, 28467, 540, 519, 2856, 547, 581, 9447, 998, 873, 269, 6884, 267, 1134, 19603, 545, 4327, 1913, 543, 7440, 4734, 606, 2479, 331, 8463, 1764, 936, 519, 8186, 540, 5304, 543, 789, 616, 18617, 547, 1589, 538, 519, 2147, 1259, 607, 540, 519, 10584, 563, 2080, 649, 723, 7396, 513, 1906, 4583, 10388, 4633, 3584, 585, 596, 547, 2824, 606, 2856, 5291, 2517, 787, 16818, 1080, 320, 2275, 640, 29335, 270, 277, 270, 328, 268, 4817, 21703, 707, 1985, 4633, 269, 8177, 267, 19043, 543, 21976, 563, 14240, 543, 9978, 13335, 269, 0, 16215, 476, 273, 5681, 332, 894, 21673, 725, 268, 20550, 13239, 10558, 725, 454, 10743, 786, 581, 8655, 513, 21300, 540, 1022, 540, 519, 1614, 4121, 5712, 269, 4841, 786, 946, 1079, 2395, 540, 1362, 942, 547, 1265, 1344, 827, 741, 8655, 21300, 269, 1358, 786, 581, 1210, 513, 21300, 1867, 6656, 547, 948, 3313, 1018, 789, 786, 991, 547, 917, 269, 3371, 568, 513, 3135, 602, 814, 1169, 21300, 8655, 543, 814, 476, 1015, 5013, 827, 1142, 21300, 563, 10743, 786, 723, 689, 5437, 476, 1626, 628, 547, 476, 1704, 628, 547, 1265, 856, 607, 1454, 1344, 607, 2009, 827, 741, 21300, 269, 4841, 786, 946, 741, 21300, 1867, 6656, 607, 513, 3391, 547, 948, 873, 1711, 2901, 513, 16968, 267, 10916, 267, 3381, 267, 610, 513, 1433, 267, 827, 741, 21300, 547, 1459, 547, 519, 1362, 269, 901, 786, 581, 4547, 1753, 543, 6192, 936, 519, 15964, 267, 649, 2307, 602, 596, 5225, 2132, 519, 1788, 547, 1153, 593, 11728, 267, 5437, 269, 476, 736, 628, 563, 8923, 1832, 538, 2247, 602, 891, 3785, 1058, 581, 6140, 2875, 2813, 543, 7436, 786, 581, 20952, 539, 585, 1346, 602, 616, 711, 269, 4841, 616, 9415, 547, 27655, 741, 6881, 547, 519, 1362, 269, 4841, 786, 723, 11728, 547, 2259, 741, 14245, 543, 581, 4712, 547, 1459, 593, 13638, 267, 5437, 269, 2641, 560, 267, 476, 1001, 278, 563, 2252, 596, 723, 1022, 2055, 1745, 1863, 547, 3346, 721, 20471, 563, 16032, 3204, 1841, 267, 6004, 269, 23340, 543, 15516, 269, 8055, 454, 2171, 3323, 676, 1603, 938, 16786, 4063, 454, 305, 1794, 8866, 476, 1428, 3764, 910, 1007, 18538, 941, 2366, 538, 519, 989, 31789, 1813, 547, 606, 3390, 454, 303, 27348, 1234, 2389, 820, 11016, 268, 5225, 1118, 513, 4063, 538, 519, 16786, 1058, 596, 2154, 454, 8967, 2454, 5220, 910, 835, 4845, 585, 1169, 2262, 910, 1813, 11016, 267, 26538, 1449, 11016, 454, 299, 4875, 19280, 3135, 1930, 910, 798, 711, 1931, 585, 5463, 269, 1428, 628, 476, 1001, 278, 454, 9202, 649, 1185, 3943, 609, 631, 331, 548, 269, 25014, 3821, 267, 596, 666, 2638, 856, 1200, 5816, 693, 454, 29324, 5249, 593, 25777, 5220, 2221, 454, 13425, 856, 6004, 269, 20182, 781, 5816, 281, 5291, 2517, 332, 1503, 1853, 16443, 545, 5035, 269, 24108, 4944, 582, 28022, 563, 2171, 723, 13175, 938, 1007, 1770, 593, 942, 267, 2837, 543, 2724, 269, 1284, 3459, 2221, 676, 3168, 693, 519, 1114, 11113, 267, 7234, 741, 4408, 543, 4502, 269, 4841, 1287, 6192, 12805, 2238, 585, 891, 1919, 563, 1103, 11431, 883, 5678, 454, 9213, 649, 3459, 676, 1565, 875, 547, 16540, 269, 4841, 16668, 513, 16540, 19389, 543, 1287, 5795, 2185, 2143, 2093, 538, 6935, 547, 596, 530, 5803, 909, 19108, 6640, 538, 519, 31350, 17675, 1974, 256, 8751, 6563, 1053, 786, 1451, 875, 547, 1491, 741, 16540, 543, 4483, 621, 547, 513, 4760, 563, 291, 514, 14795, 1354, 4158, 910, 3848, 476, 278, 454, 6637, 476, 278, 269, 27973, 267, 5590, 267, 3619, 256, 31171, 454, 31568, 543, 7788, 773, 838, 11781, 539, 2509, 519, 3529, 2777, 269, 1358, 3893, 513, 3835, 540, 519, 21117, 543, 3323, 16246, 909, 269, 1358, 16802, 998, 519, 3529, 2777, 25356, 269, 834, 296, 6999, 649, 1223, 979, 1753, 10590, 10793, 3458, 3139, 269, 23875, 5949, 269, 7788, 773, 18056, 1864, 602, 646, 729, 15738, 693, 513, 4605, 950, 646, 24714, 873, 1934, 269, 2334, 781, 950, 10793, 15422, 602, 646, 2451, 1010, 3640, 593, 519, 14629, 269, 1261, 6172, 5523, 1524, 519, 18052, 21117, 543, 10443, 547, 1010, 3640, 269, 834, 5649, 344, 267, 5590, 267, 3619, 10590, 2219, 10793, 543, 646, 546, 1882, 585, 1010, 3640, 269, 1261, 4769, 1405, 1294, 519, 570, 269, 1234, 343, 1022, 811, 865, 646, 9901, 909, 519, 14629, 1283, 543, 4718, 513, 27337, 881, 8289, 269, 9737, 1864, 543, 519, 3529, 2777, 729, 519, 570, 269, 1234, 343, 269, 0, 7021, 519, 2063, 1079, 5756, 267, 519, 2361, 540, 24118, 7881, 814, 10645, 29975, 607, 922, 5929, 2239, 267, 513, 13657, 776, 9661, 9963, 602, 2257, 32682, 1027, 689, 7881, 786, 3132, 28749, 269, 1809, 29975, 568, 513, 16472, 267, 711, 865, 1454, 540, 606, 993, 7394, 2257, 267, 607, 540, 513, 1476, 3175, 540, 3621, 543, 5837, 3069, 2443, 538, 519, 3069, 540, 28772, 11043, 29059, 269, 769, 29975, 779, 9490, 1158, 267, 1312, 23963, 2413, 543, 575, 1054, 1227, 5283, 617, 1090, 1738, 267, 16764, 568, 10478, 585, 29059, 267, 799, 3252, 607, 1312, 513, 2067, 267, 1570, 6240, 543, 519, 5207, 4998, 540, 1514, 5872, 269, 634, 3069, 540, 28772, 11043, 29059, 267, 2705, 267, 29102, 17866, 4703, 267, 11630, 547, 19131, 542, 543, 12900, 269, 7201, 713, 2203, 267, 1514, 29059, 568, 2922, 1152, 585, 1004, 540, 5176, 9838, 5626, 543, 30717, 1526, 4801, 269, 32264, 31886, 519, 21434, 3801, 547, 8207, 2257, 543, 7881, 883, 513, 3069, 540, 28772, 11043, 29059, 267, 799, 1352, 20186, 607, 513, 27640, 1170, 2065, 5786, 267, 791, 520, 1304, 569, 543, 16349, 569, 10991, 267, 543, 4061, 28221, 538, 922, 3747, 585, 8471, 1138, 559, 3363, 267, 10103, 267, 543, 9322, 563, 21292, 12892, 6641, 15797, 6970, 1081, 776, 26626, 21434, 7313, 564, 4284, 328, 11043, 6641, 15797, 590, 11703, 9139, 454, 4462, 762, 547, 4159, 12744, 269, 8281, 12744, 7300, 563, 268, 476, 272, 8160, 776, 654, 3326, 7723, 8154, 32264, 267, 29975, 267, 610, 519, 7073, 8871, 9220, 639, 281, 634, 476, 8687, 279, 7956, 267, 1196, 269, 6276, 681, 773, 3455, 630, 17206, 540, 9628, 4964, 267, 476, 2735, 273, 264, 476, 1724, 267, 476, 2420, 269, 4427, 2425, 550, 8100, 547, 713, 7160, 786, 581, 2016, 538, 24324, 538, 519, 1292, 1257, 32155, 10104, 454, 268, 476, 273, 6185, 14865, 19134, 2917, 267, 17325, 725, 593, 2494, 267, 3571, 31108, 267, 3571, 667, 14280, 267, 543, 3571, 21673, 725, 630, 14690, 280, 282, 28150, 525, 6807, 267, 18919, 281, 10104, 779, 11120, 13678, 3796, 543, 3115, 29251, 267, 476, 3422, 277, 264, 476, 1724, 32155, 10104, 454, 268, 476, 274, 269, 24730, 4258, 344, 928, 267, 634, 7849, 6396, 540, 595, 675, 532, 519, 15302, 540, 519, 10610, 267, 543, 519, 15136, 540, 519, 9650, 13689, 593, 519, 10610, 630, 26780, 267, 476, 14690, 273, 264, 476, 11025, 1700, 274, 32155, 10104, 454, 268, 476, 275, 6185, 14865, 670, 2541, 267, 589, 6164, 1047, 540, 5274, 7186, 630, 15876, 280, 1070, 1196, 269, 700, 269, 589, 269, 17286, 2421, 5174, 580, 613, 630, 23682, 5112, 281, 29366, 526, 517, 4964, 267, 476, 4198, 272, 264, 476, 6872, 277, 32155, 10104, 454, 268, 476, 276, 269, 5226, 6838, 538, 3627, 631, 1638, 534, 267, 13329, 2939, 543, 5081, 1464, 630, 23682, 5112, 281, 29366, 526, 517, 4964, 267, 476, 2735, 279, 264, 476, 2918, 32155, 10104, 454, 268, 476, 277, 10611, 3426, 339, 4208, 1777, 267, 17325, 725, 593, 519, 7186, 267, 15486, 267, 543, 595, 675, 540, 8409, 15136, 6904, 5620, 2142, 523, 595, 6817, 32471, 748, 267, 14523, 13578, 686, 659, 267, 610, 5754, 3122, 545, 630, 10955, 23844, 267, 476, 12293, 276, 264, 476, 22659, 1700, 1691, 32155, 10104, 454, 268, 476, 278, 269, 19365, 18171, 331, 8636, 267, 4828, 593, 519, 14362, 540, 5274, 11059, 630, 5197, 276, 1070, 1065, 11781, 539, 538, 2296, 21434, 19536, 267, 1196, 269, 6424, 3131, 9469, 630, 26596, 17630, 281, 670, 2117, 22620, 267, 476, 3422, 278, 264, 476, 6078, 32155, 10104, 454, 268, 476, 279, 15660, 321, 573, 1421, 476, 4375, 32155, 10104, 454, 268, 476, 1015, 269, 2304, 928, 918, 269, 631, 749, 528, 267, 2048, 29445, 18315, 281, 589, 12339, 21442, 7600, 1664, 540, 3163, 8730, 538, 2290, 9177, 267, 1196, 269, 6723, 23821, 710, 630, 32743, 2581, 281, 2160, 540, 16855, 4964, 267, 476, 2735, 278, 1040, 11386, 10104, 454, 268, 476, 1321, 269, 24171, 674, 4592, 577, 267, 2048, 763, 1715, 10610, 540, 2296, 21434, 1143, 8730, 14675, 902, 267, 476, 7918, 267, 476, 275, 630, 3192, 272, 264, 476, 4391, 273, 1700, 9262, 282, 476, 23884, 32155, 10104, 454, 268, 476, 1724, 14371, 269, 808, 269, 31661, 518, 5174, 523, 7615, 267, 634, 9177, 540, 11576, 2225, 630, 17206, 540, 9628, 4964, 267, 476, 1960, 273, 264, 476, 2641, 1700, 274, 32155, 10104, 454, 268, 476, 1691, 10422, 2678, 15588, 338, 267, 10610, 4518, 630, 23173, 8822, 267, 10790, 281, 12370, 2160, 4964, 267, 476, 1960, 274, 264, 476, 1001, 32155, 10104, 454, 268, 476, 1428, 269, 11990, 3223, 1846, 267, 16707, 267, 1196, 269, 7917, 717, 8636, 902, 630, 23682, 5112, 2160, 4964, 267, 476, 3192, 271, 264, 476, 6246, 32155, 10104, 0, 763, 5868, 540, 10295, 8552, 4524, 630, 32359, 264, 693, 519, 9998, 2085, 2009, 568, 1271, 585, 27510, 5688, 958, 2500, 6304, 269, 14904, 666, 581, 28761, 8995, 998, 8965, 4152, 693, 827, 476, 273, 1296, 540, 2085, 269, 1717, 267, 538, 519, 2136, 2276, 519, 3328, 2085, 540, 5868, 568, 1472, 476, 275, 1296, 269, 17291, 10894, 31036, 793, 2137, 540, 20284, 689, 1973, 5439, 3091, 606, 4316, 585, 3384, 4505, 10368, 4255, 563, 15430, 5034, 693, 519, 4139, 5980, 585, 20150, 3194, 630, 27486, 2752, 264, 16316, 20051, 538, 15585, 614, 17043, 267, 13814, 282, 2904, 476, 1001, 279, 269, 11671, 11592, 291, 311, 779, 10295, 0, 21659, 1231, 616, 9244, 16857, 782, 1032, 267, 799, 568, 1946, 789, 2206, 782, 1032, 5180, 267, 2864, 982, 1175, 1472, 9960, 2053, 269, 898, 568, 849, 519, 2601, 741, 1762, 2611, 538, 11174, 20034, 720, 585, 1896, 3275, 910, 1729, 2057, 1373, 16091, 676, 519, 2937, 9038, 267, 799, 1131, 4323, 1256, 741, 1378, 1762, 952, 789, 4718, 513, 2699, 6089, 269, 901, 835, 814, 1044, 8023, 2673, 547, 721, 607, 649, 3577, 2989, 713, 3018, 267, 865, 649, 3893, 513, 1434, 2070, 540, 922, 3982, 569, 1179, 330, 1194, 6089, 267, 799, 30193, 621, 689, 824, 1762, 5017, 899, 14480, 333, 1442, 693, 713, 942, 540, 519, 1032, 269, 17148, 281, 6531, 1310, 5230, 4764, 267, 21757, 547, 1776, 3905, 1554, 269, 18323, 281, 7665, 476, 2767, 3687, 476, 1556, 595, 563, 4322, 3552, 670, 821, 903, 3089, 956, 267, 607, 1134, 607, 1346, 596, 1332, 538, 519, 4677, 267, 616, 13085, 585, 3552, 3734, 267, 1519, 4557, 2249, 540, 7786, 799, 3049, 14311, 593, 873, 269, 634, 8748, 20416, 267, 16999, 538, 519, 10543, 585, 19788, 741, 3542, 13541, 631, 16251, 267, 666, 581, 9571, 513, 10116, 540, 513, 13304, 2476, 676, 519, 9966, 2719, 12704, 8316, 14790, 1054, 269, 634, 21956, 541, 540, 519, 5051, 4686, 6519, 31288, 5673, 593, 519, 3762, 269, 667, 768, 823, 946, 519, 13626, 585, 9566, 1570, 585, 741, 1762, 267, 543, 1205, 5567, 689, 4189, 519, 22060, 3638, 5810, 269, 774, 6350, 1127, 9566, 538, 873, 267, 543, 3548, 741, 6505, 2699, 15489, 15708, 267, 607, 798, 2782, 4565, 619, 543, 18409, 21129, 2583, 269, 22682, 267, 952, 596, 10093, 1406, 2907, 3893, 930, 538, 707, 4677, 267, 621, 568, 4502, 6236, 269, 17148, 281, 13192, 344, 543, 18519, 269, 18323, 281, 7665, 476, 2537, 3687, 476, 1724, 595, 563, 763, 27202, 5915, 12251, 16279, 568, 519, 1152, 824, 1804, 12456, 1345, 569, 609, 29116, 25549, 12209, 538, 519, 5177, 630, 8450, 519, 17020, 539, 5915, 12251, 16279, 12286, 593, 519, 5816, 593, 519, 476, 275, 628, 5147, 1040, 634, 5256, 630, 7065, 1503, 15918, 826, 17285, 7990, 264, 1166, 1080, 1472, 811, 899, 513, 18173, 267, 689, 2904, 547, 4864, 267, 15472, 547, 4482, 519, 4775, 267, 799, 814, 19730, 31475, 28351, 12209, 543, 513, 19730, 2766, 2389, 760, 630, 5408, 8666, 779, 1040, 1452, 10875, 5915, 12251, 21304, 616, 9425, 1455, 2059, 13576, 12535, 267, 7178 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 27246, 540, 32685, 272, 1557, 7291, 13622, 281, 32275, 2003, 335, 568, 1443, 2358, 602, 649, 946, 938, 7463, 1764, 6688, 547, 5031, 930, 540, 519, 1279, 3856, 2360, 540, 519, 1390, 2112, 4534, 9987, 281, 1158, 2112, 476, 272, 729, 519, 3032, 659, 569, 338, 6193, 2680, 799, 1131, 1439, 519, 2729, 540, 476, 1015, 2929, 1762, 24067, 2367, 267, 4061, 21006, 606, 3003, 5108, 540, 21570, 753, 269, 2622, 2112, 13797, 910, 2360, 3594, 281, 936, 476, 5197, 267, 1822, 1158, 2112, 13797, 910, 2360, 3594, 267, 1158, 2112, 13797, 910, 2360, 2165, 4574, 267, 1158, 2112, 13797, 910, 2360, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 543, 1382, 4574, 2139, 585, 19957, 1569, 269, 5131, 1557, 281, 519, 3123, 543, 2360, 540, 1158, 2112, 1775, 538, 476, 4489, 275, 998, 476, 4489, 279, 267, 519, 3003, 1158, 729, 693, 2112, 1813, 547, 1082, 1507, 267, 543, 930, 1390, 13685, 267, 519, 1158, 269, 12186, 540, 32685, 272, 593, 13314, 1249, 476, 2767, 281, 1282, 1158, 2112, 835, 15698, 7554, 267, 543, 2663, 11802, 7554, 267, 5189, 519, 2856, 540, 2883, 19736, 547, 1082, 22988, 543, 9415, 519, 1523, 540, 5092, 676, 1004, 689, 782, 15211, 540, 1272, 563, 9303, 9461, 2762, 540, 519, 3123, 540, 1158, 2112, 1775, 538, 513, 476, 3192, 273, 1557, 1158, 2112, 1775, 607, 513, 3238, 1185, 1044, 3144, 1354, 1510, 21472, 4539, 281, 713, 1631, 269, 26791, 887, 1087, 267, 538, 519, 1433, 3123, 543, 4539, 540, 519, 1101, 1158, 2112, 267, 6811, 602, 621, 8604, 607, 952, 519, 16167, 2022, 2112, 2070, 602, 27437, 1185, 22393, 1008, 12097, 519, 2112, 268, 729, 3833, 4977, 1310, 782, 2073, 1247, 632, 516, 330, 22865, 267, 1369, 519, 1433, 938, 1158, 713, 2540, 269, 4436, 2113, 10560, 1143, 910, 24141, 2113, 10560, 1143, 1382, 4574, 2263, 519, 2014, 540, 1158, 2112, 13797, 607, 24141, 14699, 543, 4108, 14226, 1514, 2360, 540, 32685, 328, 910, 2360, 540, 1158, 2112, 1775, 1382, 4574, 4983, 519, 3123, 543, 2360, 540, 519, 1390, 2112, 543, 519, 1514, 1764, 602, 32685, 328, 1185, 593, 782, 2477, 563, 4517, 1063, 476, 4572, 280, 543, 476, 3707, 276, 519, 1390, 4965, 543, 1158, 2112, 13797, 19039, 569, 2699, 18249, 519, 1909, 540, 2229, 538, 7819, 2486, 543, 3032, 777, 738, 539, 519, 8087, 2829, 689, 606, 9678, 267, 15672, 1533, 883, 519, 1158, 781, 30566, 545, 2706, 12741, 269, 901, 3992, 6212, 593, 1614, 1292, 2609, 540, 32685, 4512, 781, 4539, 281, 7525, 3527, 267, 519, 1158, 781, 3210, 267, 543, 3001, 4464, 946, 519, 2055, 269, 634, 3123, 540, 1158, 2112, 1775, 267, 799, 3459, 538, 3844, 21570, 538, 5104, 569, 476, 4489, 275, 267, 3769, 1082, 23091, 2188, 267, 971, 607, 519, 7526, 543, 29383, 540, 519, 2185, 5756, 3056, 909, 547, 519, 2112, 269, 21302, 519, 3123, 543, 4539, 540, 1158, 2112, 476, 272, 324, 2202, 14284, 2101, 10617, 538, 519, 476, 1911, 1296, 1354, 1158, 2112, 476, 272, 3459, 538, 519, 476, 5197, 271, 781, 267, 606, 2856, 25626, 2066, 519, 11782, 602, 5280, 3142, 827, 519, 1390, 2112, 269, 31666, 7701, 2360, 540, 1158, 2112, 1775, 1282, 519, 2038, 476, 5002, 271, 338, 513, 1007, 5736, 540, 13137, 7153, 607, 6608, 3459, 547, 2308, 782, 2804, 267, 6639, 543, 5626, 2200, 2139, 547, 14710, 741, 14763, 563, 30356, 2360, 729, 519, 1034, 1271, 1198, 540, 1158, 2112, 476, 273, 547, 1018, 6708, 798, 596, 3858, 1158, 2112, 476, 273, 630, 2346, 273, 264, 729, 513, 2518, 2112, 602, 16768, 689, 476, 4350, 280, 547, 476, 3707, 276, 543, 621, 12090, 689, 2038, 4655, 1369, 21570, 269, 1215, 798, 1775, 6338, 606, 1557, 540, 3123, 543, 4539, 540, 519, 1101, 1158, 2112, 5222, 543, 4539, 540, 1158, 2112, 476, 272, 1775, 6338, 513, 2014, 543, 1198, 1557, 269, 634, 2014, 267, 1576, 267, 543, 4539, 540, 1158, 2112, 13797, 1557, 910, 1158, 2112, 13797, 267, 610, 519, 2034, 1158, 2112, 267, 729, 513, 2518, 4108, 4655, 799, 3238, 513, 5354, 540, 519, 1158, 781, 6082, 267, 1519, 782, 540, 519, 1390, 7060, 267, 6896, 883, 1079, 15852, 4108, 24816, 281, 519, 16167, 543, 519, 7852, 269, 634, 2185, 1292, 3123, 540, 1158, 2112, 1775, 729, 2113, 10560, 1143, 267, 24816, 267, 22030, 267, 543, 18541, 2113, 10560, 1143, 568, 519, 1350, 528, 2305, 540, 519, 4108, 713, 729, 513, 11509, 2070, 540, 519, 2112, 269, 5131, 476, 27698, 1913, 1557, 593, 2318, 543, 2942, 2360, 540, 1158, 2112, 476, 273, 585, 1153, 543, 2852, 1053, 4539, 540, 1158, 2112, 476, 273, 1158, 2112, 476, 273, 729, 513, 2518, 2112, 602, 16768, 689, 476, 4350, 280, 547, 476, 3707, 276, 563, 2171, 8495, 1279, 24507, 2360, 540, 1158, 2112, 13797, 593, 8739, 20300, 4567, 543, 1072, 540, 4587, 2043, 538, 21570, 649, 5659, 1239, 689, 2671, 5158, 267, 513, 24794, 8826, 5619, 5342, 607, 851, 540, 2671, 538, 21570, 538, 476, 1220, 280, 269, 8437, 1934, 26461, 484, 547, 1205, 606, 2626, 547, 707, 2243, 5236, 372, 493, 1018, 616, 2947, 4539, 540, 1158, 2112, 1775, 2328, 707, 2626, 538, 606, 1557, 540, 693, 2547, 476, 10219, 1913, 269, 2622, 2112, 1775, 729, 513, 1463, 1267, 540, 513, 8126, 1194, 1062, 540, 5728, 24816, 4098, 1310, 519, 796, 2305, 540, 27437, 538, 476, 6942, 272, 267, 1082, 24067, 6082, 3459, 31205, 620, 2391, 2933, 609, 1142, 824, 269, 31664, 689, 1158, 2112, 1775, 281, 527, 4547, 25010, 543, 9552, 547, 21570, 324, 13152, 11615, 25540, 324, 2202, 4503, 3592, 606, 3003, 5108, 540, 1762, 2367, 321, 7451, 32753, 4957, 20139, 1143, 269, 670, 790, 606, 1557, 5856, 855, 1158, 2112, 1775, 729, 513, 2462, 2014, 540, 1158, 2112, 13797, 1034, 540, 519, 3123, 540, 1158, 2112, 13797, 3357, 856, 540, 519, 14097, 540, 17930, 14792, 267, 543, 952, 602, 563, 13328, 2112, 1775, 2443, 10193, 1634, 607, 519, 2112, 547, 1439, 782, 519, 10617, 1765, 729, 513, 2112, 602, 3323, 538, 476, 4489, 275, 543, 8694, 538, 476, 4489, 280, 621, 3459, 538, 21570, 267, 4758, 607, 1267, 519, 1973, 540, 5215, 540, 21030, 757, 543, 1004, 22466, 538, 519, 2112, 269, 2622, 2112, 13797, 267, 610, 519, 2034, 1158, 2112, 267, 729, 513, 2518, 4108, 4655, 267, 519, 11836, 540, 1018, 1185, 7620, 1044, 1079, 5094, 7526, 519, 1101, 519, 1101, 476, 4792, 274, 1913, 1923, 476, 274, 3817, 269, 634, 2014, 267, 1576, 267, 543, 4539, 540, 1158, 2112, 13797, 1557, 910, 1158, 2112, 13797, 267, 610, 519, 2034, 1158, 2112, 267, 729, 513, 2518, 4108, 4655, 799, 3238, 513, 5354, 540, 519, 563, 13625, 827, 1158, 2112, 1775, 281, 2014, 543, 1198, 476, 5952, 280, 1913, 476, 275, 3817, 1397, 811, 2112, 568, 519, 11200, 532, 540, 3765, 20412, 725, 910, 3046, 321, 4673, 512, 1276, 2006, 1557, 827, 2360, 540, 1158, 269, 31664, 540, 1158, 2112, 1775, 1557, 3732, 519, 8165, 538, 1158, 2112, 1775, 8694, 538, 7262, 21570, 950, 519, 6186, 626, 823, 3576, 1198, 693, 476, 1556, 281, 876, 993, 575, 31198, 593, 562, 4912, 476, 1556, 267, 476, 4489, 279, 267, 543, 538, 9456, 21570, 676, 519, 2038, 476, 4572, 271, 338, 269, 2622, 2112, 1775, 3594, 1315, 2360, 540, 1158, 2112, 1775, 593, 27437, 2360, 540, 1158, 2112, 1775, 593, 27437, 1158, 2112, 1775, 1185, 513, 14042, 1198, 593, 519, 3003, 1158, 27437, 2705, 267, 1522, 723, 11124, 519, 1034, 689, 513, 2112, 602, 10645, 519, 2729, 540, 476, 280, 2929, 8396, 1218, 269, 0, 7212, 930, 2516, 7722, 538, 8396, 267, 971, 607, 17740, 1218, 610, 4187, 5322, 267, 3277, 547, 2933, 1210, 4108, 16166, 267, 16113, 1412, 6635, 3240, 262, 610, 1412, 293, 3224, 3299, 9039, 723, 1185, 519, 2497, 540, 513, 3084, 4108, 547, 17854, 519, 4704, 267, 543, 2356, 723, 1185, 547, 7048, 593, 1489, 540, 3544, 3084, 17740, 2456, 269, 1358, 849, 946, 891, 2474, 547, 10703, 531, 689, 519, 24696, 741, 3020, 7207, 267, 543, 547, 23666, 1761, 20748, 16461, 1080, 563, 763, 19200, 304, 307, 630, 30265, 539, 17086, 19120, 4328, 4530, 264, 6060, 568, 24903, 519, 1034, 1271, 6789, 309, 5723, 6060, 1317, 621, 11887, 2436, 596, 2461, 14718, 547, 6443, 519, 4108, 7936, 540, 707, 3903, 269, 4014, 519, 19200, 304, 307, 568, 1419, 1572, 519, 968, 1478, 718, 6789, 309, 5723, 6060, 2223, 602, 779, 711, 3833, 2953, 267, 1317, 621, 779, 6508, 689, 1152, 2185, 5705, 3949, 281, 7638, 4472, 20309, 630, 12717, 1070, 799, 568, 17223, 689, 519, 24225, 24366, 630, 15425, 264, 543, 6478, 11310, 630, 310, 298, 264, 5705, 3949, 267, 25226, 25705, 630, 2752, 1070, 543, 4569, 11310, 630, 300, 298, 1916, 15152, 519, 27293, 22542, 9291, 267, 519, 8136, 267, 13108, 267, 5794, 10414, 267, 13149, 17620, 543, 11076, 15050, 630, 663, 741, 1763, 12883, 543, 519, 2817, 15050, 264, 1683, 513, 6666, 2069, 24539, 547, 5000, 596, 547, 6443, 543, 4196, 513, 4663, 540, 10279, 269, 634, 27293, 22542, 9291, 630, 300, 22835, 289, 264, 2488, 909, 547, 476, 3607, 3275, 540, 2069, 2640, 547, 14718, 18884, 585, 2852, 267, 1870, 267, 2930, 610, 25367, 6030, 267, 19359, 6030, 267, 29095, 1222, 10768, 984, 2866, 543, 8184, 2866, 269, 631, 22835, 289, 2640, 949, 581, 1031, 1247, 593, 3742, 10279, 610, 1310, 513, 4628, 8956, 762, 11166, 689, 3742, 10279, 563, 763, 3119, 2601, 585, 519, 6228, 540, 519, 4108, 568, 547, 4497, 538, 8396, 267, 1058, 621, 581, 2838, 547, 798, 865, 676, 519, 3084, 20237, 3609, 267, 543, 547, 3094, 269, 901, 4564, 606, 12438, 1049, 3804, 540, 1022, 4108, 267, 543, 519, 3119, 1445, 585, 4108, 2219, 998, 4108, 1686, 269, 1215, 11802, 568, 6913, 267, 543, 1018, 3337, 621, 17648, 267, 568, 6594, 676, 1034, 267, 952, 711, 782, 267, 4108, 2516, 593, 1614, 2157, 563, 7628, 2622, 2782, 594, 267, 519, 991, 547, 2736, 519, 4666, 6674, 540, 29503, 13137, 4718, 519, 4028, 1646, 540, 1082, 1007, 4066, 267, 3226, 13688, 269, 13639, 18229, 729, 14916, 1031, 267, 543, 17177, 1499, 2968, 23801, 538, 1082, 12959, 540, 2622, 2782, 4083, 267, 799, 6825, 519, 1034, 9992, 4842, 1974, 540, 9604, 1646, 538, 1686, 269, 3509, 1007, 6272, 267, 543, 2035, 941, 1031, 538, 8396, 267, 543, 782, 4540, 4066, 540, 13137, 941, 4824, 1063, 476, 4350, 280, 543, 476, 3707, 276, 563, 763, 1686, 540, 519, 772, 2529, 269, 20331, 17086, 7389, 547, 476, 1691, 4873, 476, 10082, 276, 267, 609, 519, 5137, 540, 519, 25550, 8136, 267, 1256, 1354, 519, 16672, 540, 14412, 6825, 519, 10661, 540, 519, 2136, 2276, 269, 634, 25550, 13108, 267, 3964, 593, 476, 1724, 5239, 476, 10082, 276, 267, 543, 25550, 3057, 1149, 267, 3964, 593, 476, 1015, 5437, 476, 10082, 276, 267, 941, 2813, 538, 2673, 19588, 676, 519, 5822, 25550, 6837, 538, 1931, 547, 9718, 519, 1007, 4182, 1996, 519, 3703, 7276, 538, 519, 1977, 21829, 2782, 563, 763, 15810, 3742, 10279, 1439, 4222, 538, 519, 11439, 4229, 585, 16642, 1032, 476, 1001, 278, 729, 476, 272, 267, 27005, 267, 12010, 1425, 545, 655, 20047, 267, 609, 606, 3606, 476, 3199, 272, 267, 1220, 1004, 538, 519, 5722, 15395, 3334, 269, 898, 568, 606, 782, 19581, 2863, 17621, 4108, 267, 855, 931, 5524, 998, 519, 8564, 633, 6796, 3590, 666, 581, 21892, 693, 519, 5518, 781, 7662, 543, 6837, 262, 13170, 269, 2353, 9038, 6502, 476, 1240, 998, 476, 1839, 945, 616, 2713, 538, 519, 2136, 2276, 616, 2838, 547, 11578, 609, 519, 8564, 633, 6796, 585, 513, 1761, 2104, 8908, 563, 4407, 2808, 851, 540, 519, 1875, 10687, 3939, 539, 11464, 24767, 676, 1876, 267, 9972, 1875, 10687, 3939, 539, 10492, 630, 17928, 4596, 338, 264, 5219, 547, 607, 8783, 4620, 1399, 10492, 538, 519, 13108, 543, 11076, 15050, 267, 610, 5234, 1875, 10687, 3939, 539, 10492, 538, 519, 13149, 17620, 267, 1685, 11645, 811, 5059, 593, 5718, 2864, 982, 2930, 6791, 269, 8871, 10056, 547, 519, 19301, 4596, 16034, 267, 661, 268, 278, 998, 661, 268, 280, 630, 292, 268, 277, 998, 661, 268, 280, 538, 519, 13149, 17620, 264, 568, 3810, 8013, 269, 12287, 6773, 9103, 1023, 693, 519, 2628, 9344, 540, 661, 268, 279, 543, 661, 268, 280, 616, 3908, 676, 5313, 1876, 547, 476, 273, 269, 276, 2600, 543, 476, 272, 2600, 540, 513, 3028, 781, 21821, 539, 3196, 267, 6606, 269, 19301, 4596, 338, 957, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5002, 271, 269, 634, 2098, 21343, 18326, 538, 476, 5002, 277, 267, 538, 799, 5176, 476, 275, 267, 1822, 20338, 941, 7166, 267, 6825, 519, 2063, 3942, 538, 476, 7742, 1296, 540, 11439, 6560, 676, 519, 2757, 7239, 1996, 3043, 28164, 257, 630, 300, 698, 889, 2033, 476, 1960, 277, 281, 476, 7871, 1916, 263, 1789, 264, 769, 1931, 547, 2226, 3043, 7292, 30566, 344, 543, 519, 28735, 543, 14226, 540, 20338, 543, 1866, 267, 519, 22457, 1533, 2919, 29200, 543, 1950, 3652, 543, 4031, 269, 834, 2304, 1930, 11685, 547, 32044, 729, 13042, 1412, 10919, 1143, 10086, 513, 3978, 7803, 1055, 775, 269, 634, 4675, 1833, 540, 4004, 1143, 2920, 630, 4198, 271, 264, 23518, 519, 10579, 540, 10456, 547, 1412, 3316, 262, 3906, 543, 2043, 3989, 607, 21340, 269, 1879, 17049, 267, 513, 1268, 729, 15286, 689, 1997, 908, 609, 1866, 610, 1256, 6158, 609, 1079, 610, 811, 1004, 693, 519, 1482, 942, 269, 1677, 581, 15034, 540, 5009, 513, 21340, 3919, 729, 547, 1981, 26646, 585, 909, 547, 4557, 1296, 269, 634, 1876, 2966, 547, 16563, 11685, 547, 519, 32044, 2229, 257, 630, 293, 531, 7637, 476, 1220, 273, 281, 476, 1708, 1916, 263, 4029, 264, 4340, 547, 23745, 966, 663, 969, 677, 630, 1960, 279, 281, 476, 5392, 1070, 834, 2005, 729, 2219, 602, 3684, 15963, 1522, 581, 3730, 585, 9810, 1944, 20338, 3267, 543, 513, 1906, 941, 2366, 856, 547, 519, 10125, 267, 1141, 789, 941, 15747, 538, 8380, 1524, 519, 2527, 15141, 687, 4799, 263, 3953, 264, 1261, 729, 1572, 519, 12844, 777, 27525, 540, 519, 20528, 269, 1261, 729, 4535, 538, 519, 19892, 4400, 4133, 689, 13495, 22857, 1004, 269, 6341, 9461, 5189, 513, 5010, 4838, 538, 4639, 4000, 563, 263, 3451, 264, 966, 663, 969, 677, 630, 1960, 279, 281, 476, 13670, 264, 31234, 267, 834, 604, 6341, 9461, 1185, 711, 1185, 547, 4339, 519, 3943, 267, 972, 568, 1169, 16315, 602, 646, 1185, 519, 12180, 21184, 543, 6190, 1852, 540, 1010, 1004, 547, 723, 2813, 513, 1533, 17841, 547, 519, 2115, 540, 519, 16042, 14206, 2540, 4799, 263, 4097, 264, 8050, 13026, 519, 575, 28207, 9381, 4872, 540, 9919, 25917, 543, 9253, 8759, 2094, 519, 476, 1626, 628, 2540, 543, 851, 540, 25448, 1634, 607, 5375, 19300, 4673, 2094, 519, 4098, 540, 519, 476, 736, 628, 2540, 543, 5053, 19892, 538, 4639, 4000, 269, 1879, 8050, 13986, 547, 1020, 5599, 2127, 538, 519, 681, 604, 13738, 267, 519, 7720, 832, 267, 29240, 543, 7137, 1499, 5706, 539, 269, 9182, 267, 8050, 2366, 922, 16939, 776, 3196, 1063, 476, 4489, 272, 543, 476, 4489, 273, 547, 3927, 1852, 7187, 543, 7262, 25448, 269, 901, 3196, 10032, 519, 2679, 543, 7031, 267, 15250, 1841, 267, 543, 7166, 7164, 2338, 540, 1004, 630, 15463, 6975, 476, 1220, 274, 281, 476, 13679, 1040, 5637, 7977, 543, 8050, 941, 5634, 3864, 7810, 7060, 269, 7977, 13026, 8644, 5984, 1063, 476, 4489, 272, 543, 476, 4489, 273, 676, 1163, 2454, 519, 5695, 802, 267, 543, 13026, 2806, 903, 7562, 807, 1063, 476, 4350, 276, 543, 476, 3707, 272, 269, 4340, 547, 23745, 966, 663, 969, 677, 630, 1960, 279, 281, 476, 5908, 1070, 834, 763, 32228, 2103, 941, 1869, 3843, 547, 1412, 335, 659, 1518, 262, 519, 8644, 12505, 554, 5793, 1633, 950, 789, 9411, 519, 3689, 2622, 2782, 538, 476, 4489, 276, 282, 519, 1412, 335, 659, 2305, 262, 540, 8644, 5984, 1131, 1152, 581, 6192, 896, 519, 26812, 626, 12512, 538, 476, 4350, 273, 1701, 13536, 621, 849, 15652, 539, 28950, 559, 663, 609, 5333, 267, 6628, 267, 543, 2806, 903, 7562, 807, 543, 13026, 7969, 28950, 559, 663, 543, 17208, 661, 761, 16699, 538, 519, 24125, 540, 4000, 563, 263, 3374, 264, 634, 12852, 3554, 320, 28953, 538, 519, 476, 1704, 628, 2540, 689, 28950, 559, 663, 547, 1459, 6377, 15057, 543, 3710, 513, 28183, 1572, 918, 11535, 674, 2426, 334, 538, 519, 8664, 540, 18741, 604, 328, 3162, 267, 22070, 540, 631, 4861, 14505, 630, 15463, 6975, 476, 1220, 274, 267, 476, 25546, 1916, 263, 3607, 264, 4340, 547, 966, 663, 969, 677, 630, 1960, 279, 281, 476, 14917, 1070, 834, 527, 729, 4922, 5156, 538, 519, 20528, 602, 267, 609, 519, 21554, 540, 519, 1007, 2540, 267, 2696, 1131, 6494, 513, 10067, 10972, 610, 5260, 1640, 267, 547, 1439, 15746, 676, 519, 21072, 267, 945, 1185, 556, 28004, 1852, 936, 519, 20528, 538, 519, 476, 8146, 271, 338, 267, 543, 547, 1625, 1518, 519, 7332, 5132, 540, 16712, 2300, 637, 322, 1878, 13684, 2390, 621, 676, 519, 7262, 1242, 21072, 543, 16368, 5695, 802, 269, 634, 812, 945, 22283, 8521, 547, 17551, 5128, 519, 1401, 4624, 10067, 10972, 267, 17124, 13259, 24703, 10822, 19869, 31608, 267, 729, 476, 2412, 1296, 2025, 267, 519, 5067, 540, 513, 20407, 10935, 32063, 543, 2907, 513, 13411, 812, 540, 930, 1065, 1393, 538, 519, 14860, 540, 519, 6519, 20407, 4799, 263, 4391, 264, 834, 763, 1297, 540, 12891, 21468, 1757, 8017, 786, 2760, 581, 1634, 267, 855, 3703, 9193, 540, 607, 1082, 607, 476, 274, 268, 275, 267, 1822, 4666, 543, 5310, 7466, 607, 1082, 20754, 543, 7508, 798, 711, 3100, 2647, 540, 519, 1665, 269, 15332, 713, 543, 519, 9552, 540, 519, 3854, 2749, 267, 519, 4108, 14710, 12219, 547, 6861, 519, 12891, 21468, 7276, 267, 607, 16899, 543, 29815, 776, 2829, 3459, 547, 17551, 741, 7115, 540, 918, 636, 14515, 269, 1306, 621, 729, 267, 606, 4830, 12891, 21468, 1131, 7639, 585, 1152, 476, 1321, 1296, 267, 693, 799, 1448, 1776, 3703, 7952, 1131, 28117, 519, 2295, 1633, 540, 519, 10504, 267, 713, 942, 18761, 593, 13567, 543, 519, 10338, 540, 12891, 21468, 883, 519, 7108, 11076, 5019, 10725, 622, 257, 630, 309, 663, 969, 677, 476, 1960, 279, 267, 476, 7176, 268, 1911, 1916, 263, 4343, 264, 4340, 547, 966, 663, 969, 677, 476, 1960, 279, 267, 476, 6245, 1070, 834, 763, 1032, 476, 6245, 279, 4718, 513, 26832, 4657, 540, 519, 9856, 538, 13280, 267, 607, 5750, 1229, 2754, 4341, 3357, 547, 606, 1439, 609, 519, 6718, 676, 519, 3703, 2229, 540, 519, 2924, 543, 3601, 540, 519, 9576, 20997, 7577, 540, 11184, 6723, 570, 879, 321, 2006, 7108, 773, 585, 476, 25616, 267, 1822, 1496, 335, 2432, 10322, 1782, 4940, 1924, 5293, 883, 519, 3946, 540, 519, 1533, 711, 1152, 8828, 13280, 855, 849, 519, 2754, 781, 10169, 884, 4109, 6811, 547, 8832, 13280, 2807, 1496, 763, 2754, 781, 10136, 316, 543, 2367, 5555, 1131, 581, 11368, 883, 519, 1007, 4639, 3979, 13571, 1512, 10414, 630, 23354, 13697, 1070, 2813, 538, 476, 6245, 278, 3267, 547, 642, 773, 609, 519, 3943, 585, 1852, 540, 519, 554, 5793, 4133, 540, 519, 7108, 11076, 543, 519, 6239, 20528, 269, 634, 26146, 13697, 1131, 1831, 519, 6293, 540, 11440, 21037, 540, 519, 812, 1631, 12912, 547, 1291, 621, 267, 519, 2025, 4000, 1688, 543, 914, 324, 1100, 790, 540, 519, 3943, 267, 19291, 700, 1872, 731, 4799, 263, 4375, 264, 18786, 538, 476, 5002, 271, 519, 3703, 1852, 729, 6905, 547, 7187, 2829, 543, 2112, 729, 10294, 593, 918, 8457, 593, 5988, 476, 274, 267, 476, 5002, 274, 538, 799, 811, 982, 476, 4968, 2367, 941, 7166, 630, 15463, 6975, 476, 1220, 274, 267, 476, 2004, 268, 7906, 1040, 6684, 590, 758, 9369, 729, 16091, 593, 4728, 476, 1691, 267, 476, 5002, 274, 538, 799, 827, 476, 1911, 2367, 941, 7166, 282, 593, 2904, 476, 1724, 267, 476, 5002, 274, 267, 519, 3703, 7166, 1063, 476, 7742, 543, 476, 4968, 27975, 8643, 6953, 9476, 320, 630, 15463, 6975, 476, 1220, 274, 267, 476, 7906, 1916, 263, 2412, 264, 634, 3371, 549, 941, 12418, 1200, 10249, 543, 789, 941, 827, 476, 4037, 267, 1822, 950, 519, 16586, 8452, 538, 25763, 4000, 269, 634, 715, 4821, 267, 513, 10409, 1895, 540, 10609, 16211, 4149, 534, 729, 22921, 7654, 476, 736, 267, 1822, 269, 634, 12456, 4673, 945, 941, 14356, 20665, 676, 3371, 549, 543, 715, 4821, 22921, 827, 476, 1789, 267, 1822, 630, 5408, 918, 1512, 22974, 476, 1220, 278, 267, 476, 4343, 272, 1916, 263, 6078, 264, 1879, 476, 1789, 267, 1822, 540, 873, 1185, 829, 1639, 1369, 513, 3018, 267, 476, 272, 267, 1822, 540, 3371, 4592, 18084, 519, 9390, 543, 6603, 3703, 2142, 577, 10224, 531, 663, 630, 852, 645, 1824, 32272, 1070, 476, 273, 267, 1822, 540, 873, 23012, 5087, 547, 29191, 600, 2513, 663, 610, 3162, 547, 21601, 531, 663, 267, 476, 1704, 267, 1822, 540, 873, 941, 17031, 676, 4436, 4229, 585, 960, 607, 10553, 31356, 282, 476, 278, 267, 1822, 540, 873, 834, 323, 1221, 899, 13733, 257, 593, 9381, 10034, 971, 607, 4210, 752, 641, 24792, 538, 7890, 267, 543, 676, 2182, 960, 267, 26380, 267, 543, 12638, 630, 298, 1512, 22974, 476, 1220, 278, 267, 476, 4343, 276, 1916, 263, 5655, 264, 26304, 781, 16939, 776, 4229, 588, 1961, 2244, 689, 519, 6805, 9082, 543, 7722, 538, 18483, 676, 32043, 6260, 2021, 267, 1453, 543, 2367, 269, 1452, 4229, 3576, 3984, 720, 2021, 543, 1453, 267, 14616, 14252, 267, 8929, 519, 9082, 2394, 519, 3401, 3177, 873, 1426, 269, 26304, 543, 1010, 2367, 1031, 513, 3099, 540, 8945, 547, 21102, 5065, 3338, 267, 3361, 513, 5951, 540, 2669, 543, 9552, 676, 1373, 834, 1410, 947, 1947, 16970, 547, 3267, 14586, 267, 18149, 940, 873, 3267, 547, 519, 5832, 14228, 262, 257, 543, 676, 8380, 3404, 7302, 1622, 834, 20041, 519, 683, 4242, 540, 519, 14586, 543, 6721, 21399, 827, 799, 519, 13733, 5858, 267, 24395, 908, 519, 4881, 10138, 2437, 676, 834, 330, 573, 333, 6260, 3979, 2021, 543, 1210, 873, 607, 6677, 889, 710, 10086, 543, 676, 834, 3333, 17415, 27142, 267, 3006, 547, 7001, 741, 2021, 267, 3006, 547, 19531, 622, 519, 15000, 883, 2324, 607, 7142, 31356, 267, 543, 3006, 585, 7328, 257, 630, 295, 5255, 338, 18876, 476, 1960, 279, 267, 476, 8099, 268, 9340, 1916, 263, 6246, 264, 1879, 8361, 18200, 517, 26304, 19497, 1634, 607, 3627, 18007, 4133, 729, 2366, 547, 4000, 538, 519, 5614, 540, 476, 6942, 272, 547, 1265, 6424, 12389, 7723, 676, 6276, 23583, 26999, 9116, 267, 519, 17404, 540, 1715, 3840, 4173, 19921, 267, 543, 1336, 1864, 1310, 5216, 3275, 540, 10707, 538, 4000, 269, 1879, 3751, 2274, 641, 1245, 4083, 267, 519, 4622, 540, 19934, 267, 4862, 538, 476, 6942, 273, 602, 26304, 1336, 12389, 7723, 267, 646, 4951, 513, 1390, 1719, 538, 4000, 269, 12389, 7723, 729, 519, 20032, 540, 519, 3864, 20949, 547, 4000, 547, 3343, 6151, 2326, 267, 547, 4228, 4168, 27685, 1143, 543, 547, 917, 811, 827, 4000, 269, 1261, 729, 513, 29966, 267, 10629, 267, 24413, 543, 7045, 337, 945, 3459, 547, 2951, 2066, 4000, 538, 519, 2038, 476, 3707, 271, 338, 269, 4014, 646, 729, 2808, 834, 1492, 1101, 547, 3444, 519, 11782, 689, 5032, 547, 11076, 3267, 519, 1101, 6592, 15385, 540, 3844, 4000, 267, 796, 871, 852, 1194, 3022, 676, 26304, 543, 3592, 782, 519, 824, 3043, 17701, 267, 1185, 1044, 1500, 3368, 513, 2540, 4505, 676, 1079, 15273, 16201, 10553, 18318, 267, 31883, 19097, 16695, 543, 1323, 770, 553, 1470, 8277, 269, 4256, 338, 729, 849, 519, 1101, 5180, 7552, 257, 630, 295, 5255, 338, 18876, 476, 1960, 279, 267, 476, 2764, 1916, 263, 4510, 264, 26304, 10645, 602, 834, 515, 729, 2111, 547, 4444, 2244, 585, 513, 6728, 676, 9878, 930, 8783, 338, 609, 1412, 534, 15792, 3761, 540, 5386, 9660, 267, 1166, 684, 4486, 25151, 267, 543, 17646, 1088, 1532, 571, 3660, 26977, 267, 609, 513, 3638, 25819, 540, 4129, 262, 2344, 762, 3649, 637, 1547, 711, 522, 2466, 1154, 513, 7008, 540, 14569, 540, 575, 514, 257, 630, 295, 5255, 338, 18876, 476, 1960, 279, 267, 476, 8287, 1040, 1261, 26203, 811, 982, 476, 14596, 22096, 16935, 8783, 338, 547, 1129, 865, 10777, 21308, 547, 2285, 2274, 641, 1245, 513, 9467, 26771, 543, 741, 2244, 585, 3592, 4986, 269, 4340, 547, 670, 5255, 338, 18876, 630, 1960, 279, 267, 476, 7761, 1070, 834, 763, 1360, 2262, 14097, 568, 513, 552, 1575, 1335, 1143, 267, 585, 1082, 8783, 338, 1185, 1100, 2856, 1018, 789, 941, 19142, 269, 23225, 1185, 2938, 519, 2854, 2262, 1354, 267, 543, 789, 941, 1373, 4280, 547, 1665, 741, 2473, 781, 547, 6054, 538, 513, 4914, 1893, 543, 538, 1850, 2297, 324, 269, 634, 2856, 540, 513, 14097 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 328, 13545, 340, 7315, 4140, 328, 536, 7637, 3813, 4673, 2228, 3954, 1146, 993, 534, 15854, 562, 344, 16120, 5283, 2728, 328, 3095, 3124, 520, 604, 590, 289, 15477, 4953, 21583, 512, 619, 4215, 780, 2162, 2961, 320, 8298, 514, 15854, 667, 10762, 541, 590, 289, 15477, 4953, 692, 308, 660, 4157, 546, 777, 520, 536, 1069, 664, 13545, 340, 7315, 4140, 328, 536, 7637, 1019, 1694, 639, 590, 289, 15477, 4953, 267, 1656, 320, 829, 1663, 5283, 752, 4157, 534, 21189, 1768, 548, 6798, 327, 546, 1695, 21343, 269, 7137, 1731, 583, 740, 531, 1695, 31423, 27204, 2000, 836, 27204, 1286, 320, 21189, 1183, 513, 330, 684, 590, 289, 15477, 4953, 1384, 272, 269, 645, 26854, 1694, 639, 759, 14741, 590, 289, 15477, 4953, 5283, 2728, 328, 3095, 3124, 520, 604, 21583, 4570, 563, 273, 269, 623, 3385, 10300, 16120, 10874, 7701, 267, 524, 926, 9723, 2513, 834, 19868, 514, 257, 15854, 737, 331, 1731, 9723, 2513, 1768, 572, 8117, 563, 274, 269, 1772, 1731, 534, 27024, 15854, 10957, 21583, 22007, 1695, 1656, 320, 546, 10762, 1046, 534, 533, 3385, 737, 565, 558, 21583, 512, 619, 4215, 563, 275, 269, 28822, 1731, 9723, 2513, 834, 19868, 514, 257, 2150, 4157, 11792, 4157, 1183, 546, 15401, 513, 330, 684, 590, 289, 15477, 4953, 1656, 320, 780, 25721, 8494, 320, 1656, 320, 1517, 636, 1509, 559, 5942, 513, 330, 684, 590, 289, 15477, 4953, 267, 10874, 1731, 583, 740, 531, 1695, 31423, 27204, 2000, 836, 27204, 1286, 320, 546, 10762, 541, 590, 289, 15477, 4953, 1384, 272, 269, 645, 26854, 1694, 639, 759, 14741, 590, 289, 15477, 4953, 5283, 2728, 328, 3095, 3124, 520, 604, 21583, 4570, 563, 273, 269, 623, 3385, 10300, 16120, 10874, 7701, 267, 524, 926, 9723, 2513, 834, 291, 10762, 541, 257, 15854, 737, 331, 1731, 9723, 2513, 1768, 572, 8117, 563, 274, 269, 1772, 1731, 534, 1239, 533, 1026, 14508, 1656, 320, 267, 694, 13630, 328, 562, 4821, 561, 1263, 330, 777, 267, 562, 4821, 533, 1263, 326, 10044, 630, 639, 20713, 1070, 737, 1092, 5070, 328, 630, 10139, 5320, 1070, 15854, 620, 600, 520, 4757, 533, 3385, 1106, 592, 597, 20805, 10762, 15546, 21583, 512, 619, 4215, 563, 275, 269, 5590, 601, 1695, 544, 1263, 27599, 5033, 7699, 1239, 21583, 1019, 704, 1663, 16988, 267, 737, 331, 1731, 9723, 2513, 834, 291, 10762, 541, 257, 2150, 4157, 544, 1263, 597, 574, 16988, 1106, 592, 597, 20805, 10762, 15546, 563, 276, 269, 20658, 1375, 340, 737, 517, 325, 3305, 14515, 546, 926, 590, 289, 15477, 4953, 5283, 2728, 328, 4757, 21583, 1656, 320, 546, 10762, 1046, 534, 269, 5590, 601, 1695, 737, 517, 325, 3305, 14515, 546, 3438, 9874, 267, 1656, 320, 546, 777, 520, 5283, 752, 4157, 534, 21189, 544, 1263, 30516, 31703, 513, 330, 684, 21583, 22007, 1695, 1705, 10762, 1046, 534, 780, 306, 655, 7541, 5774, 10224, 1286, 320, 21189, 15854, 546, 10762, 541, 590, 289, 15477, 4953, 1019, 693, 553, 546, 777, 520, 1509, 321, 656, 340, 1656, 320, 2150, 4157, 1509, 592, 2967, 533, 1263, 15401, 534, 13545, 340, 7315, 4140, 328, 536, 7637, 21583, 2367, 344, 523, 836, 16988, 269, 17286, 600, 520, 2367, 322, 20899, 2439, 290, 20975, 281, 32573, 1782, 692, 258, 1548, 1772, 513, 6215, 582, 2496, 288, 18921, 568, 513, 7522, 6679, 610, 9240, 913, 267, 1419, 1031, 547, 3180, 1945, 267, 971, 607, 11113, 610, 513, 13875, 18921, 593, 513, 7450, 269, 634, 2165, 568, 849, 513, 27461, 4704, 547, 606, 7084, 610, 2990, 267, 607, 538, 968, 320, 18921, 538, 519, 6512, 892, 610, 968, 320, 18921, 538, 519, 2780, 892, 780, 288, 27061, 3014, 2934, 556, 1564, 602, 8095, 543, 6698, 602, 2244, 538, 1585, 3270, 269, 24812, 7696, 6666, 610, 267, 538, 19044, 2987, 267, 19044, 13050, 6191, 267, 513, 1957, 19044, 609, 513, 536, 2117, 1712, 883, 513, 11280, 18921, 547, 19334, 519, 3684, 543, 1376, 18343, 519, 556, 1564, 269, 1403, 513, 10888, 4999, 5526, 267, 519, 6345, 11392, 17099, 2687, 547, 519, 2628, 14456, 269, 4107, 18921, 3756, 723, 513, 6249, 267, 543, 519, 6698, 543, 22429, 2934, 5447, 609, 602, 6249, 780, 9199, 3431, 267, 18921, 6191, 1185, 1175, 835, 2628, 1467, 543, 513, 3908, 1297, 540, 3090, 10659, 269, 1809, 607, 2029, 4359, 267, 9755, 3459, 547, 1039, 811, 556, 1564, 543, 6698, 267, 2870, 606, 2799, 3099, 540, 2009, 10659, 269, 901, 2333, 538, 7399, 3366, 547, 519, 4367, 540, 513, 4183, 1572, 2597, 532, 267, 799, 3361, 1978, 6698, 547, 2408, 811, 4749, 593, 519, 2628, 14456, 982, 1866, 269, 898, 729, 849, 2556, 547, 4188, 519, 4908, 540, 891, 6698, 593, 1142, 2168, 556, 601, 267, 865, 602, 789, 7902, 593, 519, 4159, 5496, 538, 513, 7059, 6073, 780, 9213, 267, 1034, 18921, 3756, 723, 2789, 2628, 6050, 543, 513, 3099, 540, 6698, 543, 22429, 2934, 269, 634, 2628, 3349, 786, 4766, 782, 540, 891, 3877, 538, 1469, 267, 543, 596, 666, 946, 621, 547, 1118, 5483, 3664, 827, 799, 27061, 547, 1404, 269, 898, 786, 849, 1683, 1344, 593, 875, 1454, 596, 666, 3094, 952, 596, 2244, 12805, 6698, 593, 513, 2628, 1467, 269, 769, 1840, 267, 519, 2628, 3349, 786, 849, 4766, 1022, 2027, 6698, 267, 971, 607, 8187, 6698, 267, 602, 666, 12990, 585, 824, 6698, 538, 513, 10888, 4999, 780, 5194, 1271, 3693, 540, 513, 18921, 568, 922, 25359, 267, 799, 4016, 547, 875, 1419, 621, 17188, 856, 543, 875, 1804, 1346, 2628, 8083, 616, 269, 4400, 19581, 12546, 27061, 3335, 723, 513, 2539, 681, 9143, 630, 8873, 547, 6345, 264, 6871, 982, 1970, 19581, 12546, 27061, 267, 855, 789, 666, 581, 811, 3078, 547, 1404, 1317, 789, 4043, 547, 723, 8273, 2628, 8083, 780, 4407, 7446, 513, 18921, 3014, 267, 621, 568, 1271, 547, 2015, 782, 540, 922, 2934, 267, 1519, 519, 1297, 540, 2628, 6050, 267, 13544, 26105, 267, 543, 25919, 7182, 269, 589, 1434, 18921, 786, 6707, 9192, 782, 540, 891, 2609, 547, 1711, 513, 1187, 543, 14785, 1995, 585, 922, 5716, 269, 19805, 513, 18921, 3014, 9003, 593, 922, 2132, 2557, 949, 711, 2141, 581, 519, 1655, 4781, 267, 855, 7446, 835, 602, 10905, 681, 9143, 267, 25919, 7182, 267, 543, 22429, 2934, 786, 2285, 596, 519, 5207, 4960, 540, 1967, 780, 13981, 950, 547, 3802, 2476, 689, 513, 18921, 568, 606, 1898, 5578, 585, 1022, 12464, 2401, 267, 607, 621, 666, 948, 596, 2057, 9561, 2724, 269, 1403, 596, 4076, 1185, 513, 3983, 1792, 752, 267, 621, 568, 3622, 1732, 547, 2759, 707, 9271, 543, 1847, 593, 2864, 982, 11173, 547, 1404, 538, 519, 4126, 602, 596, 786, 2490, 1919, 1472, 269, 1635, 1739, 713, 5796, 267, 596, 666, 2333, 707, 8458, 540, 10888, 693, 519, 18921, 543, 6038, 2087, 707, 13989, 6208, 780, 290, 20975, 281, 32573, 1782, 692, 258, 634, 10819, 2060, 29892, 519, 20769, 6670, 692, 288, 13169, 568, 513, 3014, 538, 799, 5171, 2628, 513, 1507, 2179, 540, 2724, 267, 2356, 513, 13362, 610, 1079, 267, 585, 519, 4960, 547, 3094, 513, 1804, 2040, 540, 2724, 610, 824, 3407, 3688, 269, 769, 1034, 2413, 27601, 267, 1004, 3442, 513, 1895, 540, 2338, 593, 513, 4249, 28309, 610, 1577, 5904, 798, 621, 585, 873, 269, 634, 16101, 568, 13752, 547, 1346, 4171, 2338, 6474, 1346, 14477, 6537, 676, 519, 3684, 269, 769, 1840, 547, 9870, 2724, 585, 26065, 267, 27601, 1419, 6318, 7482, 585, 513, 3099, 540, 1857, 3785, 780, 299, 582, 23065, 723, 1044, 1472, 585, 5553, 267, 855, 2413, 8747, 2968, 811, 2442, 538, 519, 562, 31106, 1606, 4869, 625, 950, 3395, 4656, 540, 519, 2724, 547, 581, 1500, 538, 13989, 2458, 3660, 609, 1533, 6578, 16839, 269, 1280, 1082, 2829, 267, 2523, 1346, 602, 3177, 21464, 1514, 3106, 24437, 267, 13326, 519, 6578, 2968, 7543, 1510, 2810, 9204, 610, 5969, 2533, 12544, 4999, 602, 1131, 723, 1044, 5393, 10002, 641, 983, 609, 17037, 780, 3383, 267, 547, 4194, 519, 1966, 267, 14761, 5828, 547, 519, 13169, 269, 20769, 23065, 1683, 6608, 609, 513, 2707, 540, 1928, 1652, 8907, 281, 5716, 32380, 6108, 741, 1378, 2724, 547, 2508, 1533, 2229, 3785, 602, 789, 1131, 6382, 723, 1044, 3454, 539, 585, 269, 769, 713, 1259, 267, 13169, 12434, 2057, 519, 2797, 1981, 540, 9870, 9204, 543, 3079, 1450, 8387, 547, 24772, 7836, 593, 3785, 602, 17037, 1616, 780, 2467, 779, 849, 519, 30608, 561, 675, 540, 10888, 2462, 2724, 269, 769, 606, 5736, 950, 1514, 10688, 568, 1970, 543, 519, 4316, 547, 9101, 6710, 998, 9939, 4667, 21792, 267, 10888, 6634, 540, 9489, 666, 3100, 513, 10853, 543, 24276, 3804, 269, 1656, 621, 779, 711, 2182, 547, 1294, 1946, 865, 1082, 1004, 616, 8348, 547, 1404, 780, 3719, 972, 779, 811, 547, 519, 1650, 982, 602, 269, 2755, 621, 779, 3020, 602, 930, 1004, 3274, 899, 547, 13708, 1076, 267, 972, 779, 1454, 811, 2469, 593, 1934, 982, 2241, 1480, 26846, 269, 634, 1483, 3390, 267, 28137, 13187, 267, 568, 602, 13169, 4730, 2144, 3941, 519, 4390, 585, 9494, 269, 1879, 1004, 4444, 17914, 547, 519, 13169, 267, 789, 2285, 909, 519, 2702, 547, 4688, 585, 741, 16468, 543, 2852, 24875, 269, 1656, 1317, 13169, 26065, 4043, 547, 581, 2484, 3677, 982, 519, 2179, 602, 1004, 6108, 593, 17914, 267, 1346, 16306, 1419, 1439, 909, 28428, 811, 538, 519, 1279, 2196, 780, 4537, 597, 2917, 12722, 779, 2110, 1650, 968, 763, 20769, 6670, 892, 7710, 891, 2152, 269, 769, 519, 1650, 267, 519, 27142, 5531, 547, 2721, 741, 1793, 2354, 267, 543, 972, 568, 7333, 614, 1851, 873, 607, 789, 5635, 4967, 827, 945, 779, 10888, 543, 875, 1454, 789, 2461, 588, 1136, 593, 519, 1985, 5373, 269, 634, 1650, 849, 2306, 946, 540, 13680, 8100, 547, 2757, 30053, 267, 513, 12162, 547, 519, 2245, 602, 519, 13169, 568, 9277, 547, 12927, 543, 513, 9963, 1996, 922, 12178, 269, 769, 1840, 267, 519, 1650, 779, 16502, 267, 6276, 20831, 267, 568, 513, 812, 945, 779, 13991, 547, 2245, 12544, 20174, 602, 814, 5906, 4539, 780, 290, 20975, 281, 32573, 1782, 692, 258, 476, 1015, 590, 7978, 10020, 339, 6732, 6833, 9346, 1731, 2150, 4157, 6490, 523, 836, 16988, 772, 836, 1306, 2993, 692, 25721, 752, 1695, 1656, 320, 2367, 322, 926, 1694, 639, 1909, 339, 2228, 1768, 9346, 1731, 2150, 4157, 1509, 523, 836, 16988, 579, 836, 607, 2993, 286, 808, 11986, 586, 320, 267, 1656, 320, 22007, 1695, 3611, 836, 1183, 1661, 6312, 21583, 751, 6312, 256, 10020, 339, 2228, 740, 531, 1695, 7989, 664, 534, 737, 553, 3626, 21583, 476, 1731, 517, 1731, 15854, 2367, 926, 330, 21583, 22007, 1695, 1509, 1731, 520, 16948, 533, 655, 664, 13276, 4821, 536, 1068, 1695, 684, 2389, 1695, 684, 269, 9324, 1146, 1185, 597, 5500, 320, 751, 30893, 860, 328, 3059, 267, 694, 22894, 836, 1656, 320, 546, 777, 520, 2367, 1731, 3901, 328, 2283, 14515, 1909, 339, 546, 926, 32650, 344, 16120, 534, 15555, 1695, 1656, 320, 6494, 21105, 780, 306, 7978, 1909, 339, 2228, 1768, 9346, 1731, 2367, 1177, 1046, 534, 533, 1263, 15401, 534, 536, 1069, 664, 21583, 22619, 752, 554, 1415, 320, 1583, 340, 267, 15067, 777, 328, 795, 32256, 993, 534, 15854, 740, 559, 269, 9324, 1146, 536, 1069, 664, 1909, 339, 2228, 267, 1656, 320, 546, 777, 520, 1509, 8270, 327, 546, 926, 536, 8538, 698, 2967, 1083, 14515, 7989, 664, 534, 694, 13630, 328, 13193, 30592, 2228, 267, 25877, 13193, 30592, 267, 693, 879, 2661, 13193, 30592, 3954, 1146, 31066, 31423, 338, 2426, 269, 1656, 320, 513, 16988, 5789, 553, 31703, 11337, 1122, 22462, 21583, 521, 4821, 694, 13630, 328, 536, 1069, 664, 1019, 737, 553, 3626, 535, 529, 1731, 267, 15067, 777, 328, 3954, 1146, 1183, 2863, 684, 1146, 512, 3711, 25301, 10874, 1575, 320, 7904, 802, 756, 4106, 553, 15854, 32650, 344, 16120, 534, 780, 300, 1263, 23981, 22619, 752, 1509, 25975, 520, 7989, 664, 534, 538, 328, 682, 6798, 327, 2367, 926, 330, 3954, 1146, 1509, 13630, 541, 7795, 16988, 579, 836, 607, 2993, 286, 4144, 1694, 639, 1909, 339, 2228, 579, 836, 607, 2993, 267, 1656, 320, 1509, 559, 5942, 737, 525, 655, 6312, 534, 2150, 4157, 1509, 523, 836, 16988, 1183, 5443, 22462, 21583, 536, 14008, 3954, 1146, 13545, 340, 7315, 1656, 320, 269, 21601, 684, 267, 2250, 1731, 534, 1656, 320, 536, 1069, 664, 3954, 1146, 1979, 329, 752, 15854, 536, 1068, 836, 326, 2426, 10265, 629 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 513, 5078, 6752, 267, 621, 568, 2469, 547, 5512, 873, 547, 17492, 519, 5022, 538, 513, 2731, 5347, 543, 2653, 1505, 269, 4014, 621, 666, 581, 20036, 1169, 942, 513, 27344, 3081, 646, 2196, 2740, 593, 519, 19209, 267, 1053, 1616, 547, 1174, 875, 547, 946, 2250, 13029, 865, 607, 547, 3717, 543, 2328, 7157, 269, 2913, 2161, 267, 596, 1131, 899, 547, 5818, 707, 5067, 781, 610, 8250, 781, 13002, 267, 621, 568, 855, 6654, 602, 596, 1616, 547, 2285, 707, 5067, 610, 8250, 7899, 540, 2259, 267, 607, 789, 2161, 267, 2259, 2306, 3501, 563, 21413, 18551, 1983, 267, 621, 781, 3592, 7543, 267, 2523, 585, 3214, 267, 547, 1451, 875, 547, 1224, 1007, 1913, 269, 9828, 547, 7435, 548, 23206, 12983, 898, 568, 5393, 1898, 602, 1058, 596, 3605, 707, 4819, 568, 538, 3430, 550, 633, 547, 1010, 1565, 2523, 950, 621, 814, 547, 798, 609, 2542, 543, 1603, 2152, 596, 1590, 2253, 2324, 593, 1585, 2081, 543, 547, 2087, 621, 269, 2422, 513, 2875, 781, 2012, 538, 1169, 4845, 865, 972, 781, 513, 2582, 4845, 585, 1142, 4819, 269, 5221, 646, 610, 1352, 16137, 693, 1010, 1378, 2557, 267, 972, 568, 930, 13260, 538, 519, 2085, 950, 513, 1126, 568, 4712, 547, 1451, 547, 1224, 269, 9752, 707, 4819, 547, 1106, 519, 26897, 568, 3833, 513, 7294, 2259, 563, 10144, 5461, 538, 918, 776, 9189, 8018, 16974, 849, 22646, 585, 10778, 30475, 281, 1948, 28648, 9189, 4976, 4267, 258, 28648, 9189, 4976, 2626, 1883, 258, 7538, 737, 776, 9189, 4976, 258, 321, 5735, 7895, 580, 872, 4976, 258, 28648, 9189, 4976, 1164, 1153, 258, 1372, 20293, 1026, 31265, 545, 3679, 4976, 258, 28755, 9535, 707, 4719, 3009, 4976, 258, 327, 2788, 1272, 7998, 4976, 258, 335, 16993, 540, 18472, 4976, 258, 2102, 324, 4082, 4976, 0, 27001, 5147, 543, 4864, 540, 713, 1032, 267, 772, 2529, 269, 20702, 20558, 1147, 3022, 5176, 476, 273, 267, 1822, 2600, 267, 2687, 547, 606, 2079, 676, 519, 1306, 17937, 8376, 17607, 9257, 630, 4696, 288, 302, 264, 543, 7025, 11554, 6828, 563, 11246, 294, 1767, 772, 2529, 269, 4139, 11780, 8189, 543, 519, 4972, 540, 25642, 1239, 1397, 602, 476, 26604, 11973, 9748, 540, 20702, 941, 16865, 538, 4864, 4805, 267, 513, 6825, 7914, 3379, 609, 519, 476, 1724, 11973, 9748, 16865, 519, 3105, 3923, 563, 763, 11495, 2333, 568, 513, 2101, 13525, 602, 2872, 568, 711, 7255, 827, 5518, 11686, 543, 519, 7025, 10466, 10837, 630, 292, 5183, 264, 2921, 1022, 3268, 547, 7333, 610, 1256, 2569, 519, 946, 543, 1104, 540, 20702, 563, 763, 16501, 729, 2016, 1007, 7060, 547, 7333, 543, 6615, 5906, 6878, 899, 20702, 950, 6837, 5293, 9086, 538, 476, 1001, 277, 936, 3873, 30389, 519, 5313, 24768, 15240, 1734, 6513, 2920, 267, 610, 570, 306, 7563, 563, 2026, 17937, 568, 835, 540, 519, 1101, 476, 1015, 6878, 519, 16501, 568, 12570, 585, 3106, 1739, 519, 10311, 1500, 547, 519, 2847, 2086, 539, 6464, 1876, 269, 4014, 519, 16501, 814, 711, 2943, 1500, 513, 3375, 827, 519, 3106, 540, 20702, 896, 519, 1007, 570, 306, 7563, 267, 516, 1417, 3527, 676, 519, 11686, 7245, 2482, 519, 24536, 585, 519, 8116, 547, 1265, 602, 20702, 568, 2922, 543, 1058, 2611, 3656, 563, 8310, 3018, 267, 519, 6519, 5600, 5950, 922, 12096, 476, 1001, 279, 632, 2958, 17419, 16786, 267, 2417, 10834, 602, 11686, 779, 16501, 267, 896, 9117, 8556, 15249, 12448, 24747, 518, 267, 814, 7224, 4566, 547, 2936, 513, 7333, 540, 20702, 563, 763, 8392, 268, 1779, 8932, 2872, 568, 519, 6852, 3593, 540, 6151, 20702, 538, 519, 772, 2529, 1421, 1210, 621, 968, 1729, 1118, 10859, 704, 1889, 762, 20702, 26202, 916, 2877, 538, 519, 5663, 540, 20841, 543, 9770, 17296, 3034, 5475, 3013, 779, 2063, 20702, 9553, 6806, 538, 476, 1220, 273, 267, 2687, 547, 661, 310, 294, 267, 519, 8392, 268, 1779, 8932, 2872, 729, 7142, 547, 1104, 519, 1570, 267, 1034, 540, 799, 814, 2097, 689, 8478, 563, 1103, 476, 1001, 278, 267, 782, 540, 519, 20702, 16865, 883, 543, 1031, 538, 519, 772, 2529, 269, 3357, 689, 8478, 269, 9737, 5130, 543, 4864, 540, 713, 1032, 267, 519, 2872, 6170, 5176, 1269, 272, 2929, 547, 1104, 476, 27898, 11973, 9748, 540, 20702, 689, 8478, 543, 6576, 269, 7831, 1032, 267, 519, 772, 2529, 269, 16865, 811, 982, 476, 30130, 11973, 9748, 540, 20702, 267, 543, 476, 1001, 279, 20558, 616, 4397, 547, 5595, 563, 13563, 11061, 7027, 25211, 1235, 616, 28409, 519, 11686, 7245, 547, 2709, 606, 608, 18277, 689, 519, 1007, 3114, 3106, 1876, 602, 1131, 1450, 519, 8392, 268, 1779, 8932, 2872, 547, 3136, 922, 946, 543, 20558, 540, 20702, 883, 519, 2104, 563, 3719, 713, 1131, 3136, 547, 1459, 1072, 4145, 912, 26046, 540, 5313, 1239, 689, 519, 15544, 585, 8376, 6513, 543, 10644, 5267, 602, 20702, 2389, 3419, 13499, 3676, 6146, 606, 6059, 476, 1428, 267, 1822, 4892, 513, 1032, 269, 589, 2487, 1353, 3366, 676, 808, 4157, 6390, 28635, 8403, 267, 7022, 540, 519, 4139, 8189, 593, 27706, 2657, 267, 1336, 602, 519, 2669, 17167, 689, 20702, 4598, 949, 581, 1454, 2362, 267, 693, 5176, 476, 2412, 267, 1822, 4892, 513, 1032, 543, 811, 982, 476, 14838, 267, 1822, 513, 1032, 5001, 563, 17606, 568, 2312, 602, 896, 519, 11686, 7245, 267, 772, 2529, 269, 20702, 20558, 543, 946, 616, 711, 13302, 269, 634, 2257, 568, 9048, 325, 17014, 267, 972, 568, 1100, 2922, 1377, 540, 20702, 4598, 610, 6417, 946, 269, 22682, 267, 519, 8392, 268, 1779, 8932, 2872, 568, 25211, 532, 585, 1776, 608, 18277, 1848, 1767, 27692, 1234, 14852, 267, 7022, 543, 1071, 1922, 10133, 540, 519, 1306, 17937, 8376, 17607, 9257, 563, 17606, 568, 813, 16226, 602, 7429, 811, 982, 476, 2568, 6082, 1472, 519, 1158, 267, 519, 772, 2529, 269, 711, 1152, 14543, 547, 7333, 20702, 267, 855, 2636, 20558, 547, 2333, 2223, 1234, 14852, 1767, 269, 968, 25567, 753, 3112, 2697, 610, 4383, 519, 4220, 540, 20702, 269, 634, 942, 568, 1631, 585, 519, 16501, 547, 2161, 1100, 547, 519, 20702, 2872, 543, 6368, 7333, 20702, 1510, 23614, 687, 1848, 0, 1432, 1772, 589, 16959, 590, 12714, 888, 291, 550, 626, 25538, 8615, 14174, 304, 281, 4208, 594, 12846, 5192, 27275, 10266, 2991, 513, 29392, 6987, 3555, 888, 291, 787, 23094, 630, 531, 557, 6897, 11560, 4345, 264, 568, 513, 11213, 5959, 2783, 602, 3006, 4523, 1310, 596, 723, 513, 8628, 2937, 5694, 13939, 269, 16959, 23094, 568, 950, 519, 1973, 8052, 693, 519, 3135, 540, 519, 5694, 10868, 14543, 547, 1020, 267, 610, 621, 20247, 617, 2471, 610, 4744, 11510, 1354, 519, 10138, 814, 646, 4705, 563, 32207, 958, 267, 513, 1973, 8052, 3029, 693, 519, 3135, 540, 513, 5694, 10868, 269, 901, 1973, 8052, 5713, 607, 513, 8825, 4494, 936, 519, 5817, 5642, 543, 8229, 30804, 538, 519, 8900, 5694, 23094, 269, 634, 8052, 849, 2488, 519, 5748, 585, 519, 2208, 540, 1007, 5642, 543, 585, 519, 1646, 540, 2571, 5160, 936, 519, 8052, 563, 2750, 17068, 540, 519, 5817, 5642, 543, 13285, 2164, 538, 7920, 1928, 267, 711, 1152, 538, 519, 23094, 855, 849, 2059, 519, 13285, 10237, 908, 547, 519, 2427, 540, 707, 3068, 269, 634, 23094, 3587, 28332, 543, 949, 6445, 609, 1426, 11935, 267, 4946, 547, 519, 1928, 269, 1403, 596, 1020, 3819, 23094, 267, 519, 1928, 2356, 5956, 835, 547, 1614, 2395, 1310, 707, 5694, 568, 6569, 563, 26502, 602, 666, 2333, 707, 1981, 540, 3384, 3819, 23094, 1331, 912, 6440, 25003, 543, 10269, 946, 269, 11906, 338, 538, 13189, 610, 824, 3029, 540, 10269, 949, 2061, 610, 3500, 7067, 543, 8764, 622, 519, 10138, 3135, 269, 634, 957, 540, 647, 9535, 593, 513, 16906, 949, 9308, 20247, 17690, 519, 1973, 8052, 16349, 569, 563, 6440, 17327, 15333, 1061, 1161, 269, 4400, 21110, 2157, 689, 5711, 15333, 1061, 1161, 949, 7519, 3339, 7067, 3157, 543, 2333, 519, 1981, 540, 3819, 23094, 563, 6440, 8555, 704, 693, 25571, 1416, 269, 23299, 547, 1246, 1753, 13282, 4808, 543, 4057, 5711, 9882, 949, 2333, 519, 1981, 540, 3819, 23094, 563, 6440, 11109, 3819, 23094, 538, 519, 2250, 269, 1403, 596, 4312, 1185, 3819, 23094, 538, 519, 2250, 267, 596, 2811, 811, 2693, 547, 1020, 621, 1310, 1776, 10868, 563, 6440, 29392, 610, 10733, 3968, 269, 7351, 610, 3105, 5563, 1472, 519, 13939, 5694, 2333, 519, 1981, 540, 3819, 23094, 563, 6440, 27275, 1928, 1369, 513, 1906, 2395, 1310, 513, 5694, 10868, 454, 6440, 3487, 658, 610, 2698, 2530, 540, 519, 1973, 8052, 693, 519, 5694, 10868, 3135, 267, 799, 596, 949, 5469, 607, 606, 8900, 23302, 630, 323, 787, 264, 23094, 454, 6440, 6250, 1043, 5642, 538, 519, 23094, 454, 6440, 10266, 602, 10237, 919, 689, 519, 23094, 547, 707, 1274, 267, 3750, 267, 11454, 610, 8405, 593, 519, 1482, 2427, 540, 707, 3068, 607, 519, 10868, 454, 2691, 547, 1294, 513, 11290, 454, 2252, 596, 1020, 1007, 610, 29083, 1928, 538, 519, 2395, 1310, 707, 5694, 10868, 267, 3346, 707, 11290, 610, 5711, 18874, 5612, 563, 1432, 707, 11290, 949, 798, 454, 7312, 11290, 786, 1491, 513, 1297, 540, 3268, 547, 2327, 1697, 7067, 540, 519, 23094, 543, 547, 2061, 3819, 23094, 269, 1452, 3268, 949, 1331, 2857, 2056, 835, 610, 811, 540, 891, 6527, 267, 799, 949, 948, 2061, 3819, 23094, 912, 6440, 25095, 17424, 5023, 342, 10449, 610, 575, 1564, 5612, 1354, 543, 1310, 6391, 454, 6440, 17327, 11216, 267, 3226, 952, 596, 723, 513, 19847, 4761, 1062, 454, 6440, 4165, 1047, 10364, 3435, 4294, 547, 519, 10138, 454, 6440, 2405, 5344, 10571, 902, 4294, 1310, 6391, 454, 1432, 596, 666, 798, 1310, 6391, 454, 2791, 3513, 4309, 5528, 827, 1018, 547, 2503, 1282, 519, 7067, 1184, 1310, 513, 5694, 10868, 543, 875, 547, 1416, 585, 519, 10138, 269, 7743, 693, 25571, 1416, 1310, 513, 5694, 10868, 2337, 3895, 7067, 543, 2061, 3441, 547, 519, 10138, 269, 1452, 5528, 786, 2693, 2232, 519, 1739, 2152, 267, 799, 666, 948, 2061, 3819, 23094, 912, 6440, 11314, 910, 2991, 707, 6391, 267, 1544, 547, 1964, 585, 519, 14230, 540, 519, 1554, 269, 7427, 707, 11290, 781, 7840, 827, 950, 547, 16056, 3339, 2238, 543, 875, 1279, 547, 2057, 11826, 3635, 543, 5026, 602, 1522, 1267, 538, 20247, 617, 3101, 519, 1973, 8052, 538, 519, 23094, 563, 6440, 10266, 2359, 910, 10925, 4411, 24502, 593, 519, 3544, 540, 707, 3068, 593, 519, 1101, 1554, 1310, 10868, 543, 3636, 24502, 1310, 602, 267, 547, 948, 6175, 1928, 543, 11926, 269, 7427, 707, 11290, 781, 5528, 593, 7311, 4411, 610, 3002, 547, 707, 3068, 269, 6875, 1928, 6527, 607, 11311, 563, 6440, 30094, 1137, 910, 27276, 6266, 540, 1216, 1310, 519, 6391, 269, 3680, 23931, 267, 14185, 3990, 267, 3327, 730, 610, 3905, 16098, 585, 607, 1279, 607, 707, 11290, 15565, 269, 5213, 1405, 4235, 609, 513, 12450, 585, 693, 2547, 513, 3018, 1317, 519, 647, 9535, 2962, 949, 20247, 17690, 519, 1973, 8052, 538, 519, 23094, 563, 6440, 5253, 910, 16202, 1152, 2571, 3536, 267, 971, 607, 18506, 610, 13212, 879, 576, 267, 585, 519, 1101, 1554, 269, 2142, 6297, 609, 3905, 543, 4411, 15559, 610, 24146, 707, 32336, 2394, 519, 16562, 17561, 31273, 1055, 269, 3399, 4189, 10859, 268, 7809, 3536, 950, 596, 666, 20496, 873, 269, 3680, 21400, 593, 519, 6391, 2427, 540, 707, 5023, 563, 6440, 27686, 707, 5023, 910, 2991, 6391, 267, 596, 949, 9900, 27125, 707, 5023, 543, 11453, 707, 4522, 267, 855, 2057, 519, 10868, 3135, 585, 519, 1101, 476, 2190, 3108, 269, 2991, 519, 1101, 476, 2190, 3108, 267, 9900, 27125, 707, 5023, 609, 3636, 6070, 1896, 2053, 513, 1554, 585, 513, 3018, 1310, 707, 6391, 269, 17186, 476, 272, 270, 273, 23188, 540, 3349, 6070, 538, 513, 4837, 540, 1216, 269, 7427, 519, 5528, 540, 707, 11290, 610, 5711, 18874, 563, 6440, 30926, 946, 910, 1403, 596, 8673, 610, 946, 10269, 267, 1810, 1405, 798, 865, 585, 693, 2547, 476, 4366, 3108, 1310, 6391, 543, 607, 1279, 607, 596, 666, 1310, 602, 269, 7102, 946, 540, 10269, 2472, 1310, 5711, 6391, 666, 8488, 7067, 543, 2333, 519, 1981, 540, 8374, 563, 2690, 811, 1344, 593, 3819, 23094, 267, 610, 952, 596, 1131, 899, 547, 2911, 547, 938, 7874, 24782, 538, 25538, 8615, 25538, 8615, 267, 5225, 1289, 721, 593, 476, 7597, 273, 4198, 876, 256, 0, 1692, 568, 6797, 5821, 5701, 888, 299, 1853 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3006, 31181, 1106, 540, 4552, 2530, 269, 4706, 2014, 568, 2219, 547, 581, 513, 4719, 8417, 540, 519, 4552, 32235, 547, 1019, 5139, 8527, 652, 16238, 630, 291, 12487, 1070, 513, 9449, 1898, 585, 5256, 4638, 1646, 602, 568, 849, 2219, 547, 2014, 9910, 4405, 1436, 540, 519, 4552, 32235, 269, 667, 12487, 568, 513, 7700, 3815, 547, 1312, 5256, 543, 4775, 4806, 4552, 2530, 563, 2304, 5393, 1455, 2783, 267, 543, 4088, 2045, 620, 641, 1815, 807, 5540, 827, 476, 2004, 2929, 2367, 543, 476, 1789, 2929, 2021, 538, 519, 772, 2529, 269, 4706, 5207, 9860, 568, 1063, 6502, 476, 1789, 543, 476, 4792, 267, 855, 621, 666, 2049, 607, 2038, 607, 18273, 269, 589, 5619, 540, 2367, 9907, 476, 1240, 547, 476, 5392, 1296, 1336, 602, 476, 5655, 260, 1185, 9793, 547, 3573, 4552, 2530, 269, 272, 6168, 476, 2004, 260, 540, 2367, 936, 2085, 476, 2004, 723, 4552, 2530, 269, 22458, 2530, 568, 811, 1455, 538, 2021, 1310, 22797, 269, 273, 901, 4806, 540, 4552, 2530, 3123, 513, 973, 5338, 4552, 1467, 267, 4552, 30034, 267, 543, 4552, 2530, 693, 519, 13862, 538, 2367, 267, 543, 2949, 4552, 30034, 543, 11097, 2287, 540, 519, 4552, 851, 538, 2021, 563, 291, 12487, 568, 1898, 585, 4638, 4552, 2208, 267, 1519, 4949, 16736, 267, 1435, 545, 267, 543, 11132, 4552, 267, 855, 621, 11874, 5222, 21435, 4552, 269, 1879, 3173, 726, 26786, 4552, 32235, 543, 2960, 689, 2545, 3429, 543, 1875, 28394, 3429, 21435, 267, 972, 941, 2362, 2157, 540, 543, 4088, 13364, 593, 2545, 3429, 21435, 4552, 32235, 269, 274, 454, 1103, 1004, 609, 513, 4719, 32739, 547, 667, 12487, 8417, 267, 519, 2208, 5123, 540, 4552, 32235, 568, 4389, 689, 1296, 547, 4374, 610, 3275, 267, 543, 519, 4552, 32235, 6175, 538, 2450, 269, 589, 27571, 2208, 5123, 1797, 811, 24827, 4283, 741, 16889, 5123, 543, 2887, 856, 269, 589, 4130, 4552, 21155, 548, 2164, 538, 24827, 602, 616, 25182, 543, 1447, 21432, 563, 14818, 16238, 543, 667, 12487, 616, 543, 5766, 839, 602, 1404, 606, 1271, 1909, 538, 9038, 3384, 5256, 4638, 4162, 1354, 4332, 543, 18273, 269, 1323, 11747, 267, 476, 276, 10382, 3146, 2265, 848, 267, 17838, 909, 547, 476, 1015, 260, 540, 19697, 547, 667, 12487, 538, 4079, 269, 667, 12487, 568, 513, 6793, 267, 811, 3532, 543, 4088, 982, 19697, 563, 1103, 901, 9137, 454, 25444, 24259, 827, 476, 2004, 547, 476, 1911, 24827, 1142, 1554, 269, 1703, 616, 1614, 11775, 540, 4552, 2208, 281, 606, 10402, 267, 799, 568, 519, 2208, 5123, 282, 3032, 10402, 267, 513, 27139, 5123, 282, 543, 22007, 4094, 267, 519, 16889, 5123, 269, 634, 3259, 540, 891, 11775, 543, 519, 6871, 540, 24827, 538, 1142, 5123, 4268, 2429, 707, 10715, 269, 901, 568, 1946, 4552, 2530, 4679, 609, 2085, 563, 5649, 811, 827, 1548, 6520, 798, 631, 2297, 12414, 22630, 543, 700, 846, 22458, 454, 3719, 267, 1175, 1317, 4552, 2530, 267, 543, 1178, 3539, 585, 602, 2339, 267, 2333, 609, 2085, 267, 602, 1281, 711, 1611, 596, 991, 547, 3398, 519, 17149, 269, 1703, 616, 3810, 2500, 6527, 602, 2569, 667, 12487, 543, 930, 6197, 2242, 543, 2067, 14319, 602, 949, 849, 948, 563, 19226, 2120, 728, 568, 513, 8013, 28166, 585, 1826, 4083, 476, 276, 10382, 3146, 2265, 848, 267, 519, 1106, 540, 476, 276, 10382, 3146, 2265, 848, 602, 568, 811, 1455, 538, 519, 4552, 32235, 269, 5685, 2120, 728, 568, 513, 8013, 28166, 602, 7161, 476, 276, 10382, 3146, 2265, 848, 689, 11006, 547, 922, 13805, 543, 14291, 19697, 547, 667, 12487, 269, 898, 11081, 519, 2179, 540, 21883, 667, 12487, 538, 519, 1560, 676, 827, 1079, 22188, 543, 5594, 4679, 19697, 2157, 269, 275, 454, 1103, 1079, 4791, 8062, 267, 476, 272, 267, 4649, 274, 2367, 1063, 519, 6502, 540, 476, 1240, 543, 476, 6078, 4607, 5711, 1710, 2120, 728, 610, 21897, 585, 835, 1032, 267, 543, 476, 272, 267, 21497, 2367, 4797, 2126, 585, 513, 2034, 1032, 269, 634, 2367, 4810, 2799, 4552, 1293, 267, 14887, 4552, 2530, 267, 2799, 4552, 2208, 267, 543, 4824, 4552, 5920, 269, 276, 454, 19226, 2120, 728, 568, 15111, 22190, 28508, 585, 8156, 5256, 4806, 4552, 2530, 543, 568, 1031, 1055, 2000, 8475, 547, 1521, 4775, 1790, 520, 1181, 4552, 2530, 269, 275, 454, 5649, 811, 827, 5685, 2120, 728, 585, 22458, 13809, 281, 1323, 11137, 454, 5278, 3536, 543, 11922, 949, 849, 2569, 667, 12487, 543, 948, 2569, 5256, 543, 4775, 4806, 4552, 2530, 269, 8347, 891, 547, 1294, 952, 789, 2569, 4552, 2530, 281, 277, 454, 2467, 616, 711, 1082, 2090, 602, 8495, 6197, 2188, 543, 667, 12487, 2157, 269, 1717, 267, 6197, 2188, 602, 2087, 2949, 1072, 786, 1860, 707, 4761, 1062, 543, 1973, 10009, 543, 267, 4061, 267, 949, 2087, 4552, 21155, 548, 1072, 563, 18893, 4476, 707, 2949, 1072, 676, 26724, 912, 295, 1515, 1098, 17852, 616, 5340, 676, 2921, 4552, 689, 835, 851, 540, 519, 21435, 543, 4907, 1227, 11093, 621, 883, 2127, 540, 24052, 1145, 269, 22458, 568, 3144, 689, 4025, 593, 519, 21435, 1141, 4552, 32235, 616, 11259, 547, 667, 12487, 2360, 269, 2480, 531, 335, 593, 519, 1394, 540, 519, 2212, 543, 2539, 13980, 540, 519, 5011, 543, 1394, 540, 519, 21435, 616, 1447, 6213, 547, 667, 12487, 563, 295, 1515, 13003, 2409, 912, 24464, 609, 543, 4088, 2045, 620, 641, 1815, 807, 616, 519, 1034, 1455, 2551, 547, 4309, 4552, 1098, 17852, 269, 769, 835, 1353, 267, 9547, 609, 519, 6364, 24132, 689, 476, 3445, 260, 547, 476, 9032, 9077, 543, 21910, 6668, 3928, 24132, 689, 476, 5952, 260, 547, 476, 11152, 10065, 22458, 24328, 1281, 711, 2333, 519, 2949, 2179, 540, 4552, 269, 898, 1152, 859, 839, 621, 856, 936, 519, 21435, 269, 1556, 454, 19226, 2120, 728, 543, 824, 6527, 602, 3625, 667, 12487, 723, 2427, 2360, 267, 1519, 912, 2467, 616, 1082, 1761, 3123, 540, 4552, 2530, 269, 769, 1082, 2665, 267, 952, 519, 5817, 1966, 568, 5701, 267, 4552, 2530, 949, 8207, 269, 13185, 547, 707, 3782, 8502, 547, 4341, 856, 824, 1761, 3123, 952, 596, 5469, 2799, 4552, 2530, 610, 2545, 3429, 269, 2368, 1761, 3123, 540, 4552, 2530, 1331, 912, 4407, 649, 11441, 547, 2141, 1683, 4977, 267, 1699, 267, 543, 2922, 5796, 538, 782, 540, 938, 4930, 543, 10274, 267, 621, 779, 1271, 547, 2566, 602, 789, 616, 1100, 12990, 585, 2564, 5796, 689, 513, 4387, 610, 3782, 8502, 269, 1411, 1058, 2141, 5077, 513, 8026, 3318, 945, 666, 13209, 707, 1808, 2013, 269, 634, 1543, 649, 4076, 3769, 538, 713, 3391, 568, 8806, 5921, 547, 581, 21141, 543, 1281, 711, 13822, 2564, 5796, 563, 272, 269, 10910, 3941, 570, 267, 12852, 2006, 595, 297, 267, 14205, 514, 25846, 267, 1696, 620, 269, 2776, 28700, 540, 5256, 4806, 4552, 2530, 538, 476, 1240, 268, 5392, 1032, 2025, 2367, 269, 32536, 565, 13880, 269, 5463, 476, 1960, 279, 282, 2190, 263, 1321, 2567, 15836, 271, 268, 273, 269, 8222, 281, 1015, 269, 9340, 272, 10768, 269, 13923, 275, 268, 5325, 273, 276, 269, 1960, 279, 6745, 321, 1822, 6021, 11859, 454, 273, 269, 2817, 7732, 540, 6925, 269, 1656, 4088, 2045, 620, 641, 1815, 807, 269, 21700, 5181, 476, 272, 267, 476, 1708, 273, 269, 4179, 2517, 4364, 1467, 15200, 10993, 270, 2102, 7497, 270, 935, 1288, 270, 663, 4088, 2045, 17038, 641, 1815, 807, 270, 258, 325, 15968, 454, 274, 269, 670, 756, 828, 1206, 19364, 267, 1215, 749, 589, 292, 267, 11969, 718, 22622, 269, 7195, 3429, 4552, 21155, 548, 546, 1069, 531, 13099, 8759, 2281, 2270, 2362, 2157, 540, 543, 4088, 13364, 982, 1346, 689, 1875, 28394, 3429, 21435, 269, 808, 7736, 4531, 26096, 269, 3967, 476, 1960, 279, 282, 14444, 263, 272, 2567, 6795, 268, 4792, 269, 8222, 281, 1015, 269, 15757, 278, 10768, 4141, 269, 271, 269, 14444, 22650, 280, 454, 275, 269, 2274, 321, 342, 2129, 331, 631, 294, 267, 19850, 10458, 267, 654, 269, 681, 1421, 7137, 628, 11219, 2158, 267, 808, 1421, 1299, 21676, 28952, 267, 594, 269, 9615, 540, 2960, 2068, 281, 18043, 9354, 2994, 269, 29021, 2657, 7070, 5919, 476, 1001, 279, 563, 276, 269, 918, 31348, 2006, 918, 291, 267, 744, 3149, 523, 661, 288, 267, 1733, 1746, 667, 267, 1696, 620, 269, 5685, 2120, 728, 538, 519, 2126, 540, 2367, 609, 543, 4088, 2045, 620, 641, 1815, 807, 269, 5685, 2120, 728, 22503, 23694, 22458, 13809, 5530, 6828, 269, 808, 2549, 6298, 32536, 565, 269, 4239, 476, 1960, 279, 282, 4375, 263, 275, 623, 339, 476, 272, 2567, 276, 4281, 268, 8660, 269, 8222, 281, 1015, 269, 6200, 277, 4882, 25171, 271, 268, 280, 7830, 273, 263, 7176, 264, 10384, 5881, 268, 277, 454, 277, 269, 20144, 926, 342, 8403, 31253, 267, 24497, 1731, 20783, 623, 269, 1323, 7650, 540, 16909, 8925, 538, 543, 4088, 2045, 620, 641, 1815, 807, 269, 808, 15328, 5471, 32536, 565, 269, 4119, 476, 1001, 280, 282, 1240, 263, 275, 2567, 280, 5780, 268, 280, 4037, 269, 8222, 281, 1015, 269, 9340, 272, 10768, 665, 323, 269, 15782, 1789, 454, 278, 269, 32765, 517, 13013, 267, 12390, 808, 295, 267, 962, 5622, 670, 294, 267, 1696, 620, 269, 5274, 4552, 2208, 19349, 538, 20117, 676, 3039, 7401, 3134, 580, 718, 11229, 24739, 268, 274, 3766, 718, 622, 630, 9680, 290, 294, 1040, 24695, 339, 558, 14037, 710, 269, 4119, 476, 1220, 278, 282, 1691, 263, 278, 268, 279, 2567, 4649, 272, 268, 276, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 19657, 2096, 539, 269, 1220, 277, 269, 6021, 269, 27947, 454, 279, 269, 667, 739, 531, 7537, 267, 6341, 822, 520, 670, 267, 16170, 749, 590, 267, 1696, 620, 269, 634, 3106, 540, 3039, 7401, 1349, 21455, 538, 2022, 5443, 641, 30167, 2021, 693, 1981, 585, 6089, 2860, 281, 2164, 540, 519, 16506, 5682, 21281, 23632, 269, 5253, 6314, 24768, 565, 269, 9484, 476, 1001, 276, 282, 10695, 281, 2918, 268, 3374, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 8807, 551, 269, 1001, 276, 269, 4962, 269, 25171, 454, 280, 269, 13535, 808, 267, 28732, 667, 267, 6970, 334, 808, 267, 1744, 7776, 589, 269, 634, 3106, 540, 3039, 7401, 543, 3039, 7401, 1349, 4616, 538, 4079, 1107, 11778, 540, 513, 9836, 2689, 269, 3204, 592, 24768, 565, 24103, 565, 269, 9947, 476, 1001, 279, 282, 4817, 281, 31404, 268, 275, 3451, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 13885, 4135, 874, 269, 1001, 279, 269, 6734, 269, 25171, 454, 1015, 269, 590, 12609, 667, 301, 267, 4446, 21884, 16066, 267, 932, 1511, 345, 16066, 267, 1696, 620, 269, 8881, 540, 3039, 7401, 21555, 2433, 513, 9836, 2689, 676, 519, 772, 2529, 269, 24103, 2100, 807, 269, 10684, 6380, 269, 476, 1220, 279, 282, 4029, 263, 277, 2567, 5379, 280, 268, 10019, 269, 8222, 281, 1015, 269, 21327, 276, 270, 1822, 22903, 1240, 268, 1220, 279, 4029, 271, 2568, 268, 1822, 6734, 454, 1556, 269, 13343, 20318, 674, 267, 1325, 600, 631, 267, 966, 690, 601, 808, 292, 267, 2997, 1090, 631, 269, 22458, 24328, 281, 9978, 7650, 269, 808, 2549, 6298, 32536, 565, 269, 4239, 476, 1708, 272, 282, 5952, 263, 275, 2567, 3199, 274, 268, 279, 1691, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 269, 10937, 611, 269, 1708, 272, 269, 6734, 269, 14862 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5299, 454, 18411, 11693, 513, 5569, 521, 543, 513, 8675, 540, 1913, 9598, 267, 1039, 5624, 538, 521, 547, 4020, 513, 4845, 1141, 1142, 2262, 568, 513, 4570, 8675, 2262, 780, 27987, 782, 971, 2009, 5220, 780, 2690, 1383, 267, 2016, 454, 338, 815, 834, 322, 1846, 663, 27594, 20350, 18743, 815, 22373, 13906, 2580, 834, 322, 1846, 2580, 834, 663, 2580, 834, 338, 663, 2580, 834, 27594, 19312, 780, 288, 3070, 568, 22373, 322, 1846, 543, 2915, 2580, 834, 13906, 5070, 2915, 257, 14073, 18257, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 521, 267, 513, 5569, 454, 825, 1948, 7711, 12407, 9598, 267, 513, 1305, 540, 5569, 454, 825, 1948, 7711, 8873, 513, 1592, 540, 12673, 454, 825, 1219, 2262, 17954, 752, 4311, 267, 521, 267, 546, 2187, 1038, 7682, 630, 6352, 4433, 4917, 1038, 585, 1775, 538, 1535, 9792, 263, 272, 267, 7003, 4433, 11924, 272, 2187, 2018, 952, 1582, 26769, 1555, 17504, 4433, 314, 271, 281, 328, 3910, 546, 2187, 3546, 544, 815, 31460, 3546, 678, 284, 338, 314, 271, 281, 328, 2639, 3546, 1582, 269, 1740, 17954, 752, 13434, 27641, 4433, 267, 546, 267, 1775, 267, 7003, 4433, 1070, 544, 267, 678, 2020, 825, 1219, 960, 17954, 752, 13434, 27641, 4311, 267, 521, 267, 546, 267, 1376, 267, 1439, 267, 544, 267, 678, 2187, 1038, 7682, 630, 6352, 4433, 4917, 1038, 1820, 630, 11034, 267, 1439, 994, 1038, 7682, 630, 11034, 10922, 1439, 994, 1038, 952, 1376, 2652, 1439, 912, 2018, 1820, 678, 454, 1038, 585, 1775, 538, 1535, 9792, 263, 11034, 267, 1439, 266, 272, 2187, 2018, 952, 630, 11034, 267, 1775, 264, 538, 544, 610, 1582, 26769, 1555, 17504, 4433, 314, 11034, 281, 328, 3910, 546, 2187, 3546, 544, 27007, 11034, 267, 1775, 13580, 815, 630, 11034, 267, 1775, 994, 3546, 678, 272, 815, 1412, 260, 338, 4939, 338, 262, 4939, 630, 337, 267, 521, 314, 11034, 281, 328, 7481, 3546, 1582, 269, 1740, 17954, 752, 13434, 27641, 4433, 267, 546, 267, 1775, 267, 1439, 267, 544, 267, 678, 272, 994, 4449, 454, 825, 1219, 2270, 17504, 4311, 267, 530, 267, 546, 2187, 1038, 2132, 530, 538, 546, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 834, 322, 1846, 663, 27594, 4840, 825, 9598, 815, 22373, 13906, 2580, 834, 322, 1846, 2580, 834, 663, 2580, 834, 338, 663, 2580, 834, 27594, 257, 6540, 825, 521, 815, 834, 13906, 4840, 825, 8827, 14061, 5320, 17954, 752, 4433, 267, 9598, 2020, 825, 521, 815, 834, 322, 1846, 663, 27594, 4840, 825, 9598, 815, 22373, 13906, 2580, 834, 322, 1846, 2580, 834, 663, 2580, 834, 338, 663, 2580, 834, 27594, 31116, 825, 8827, 14061, 5320, 17954, 752, 4433, 267, 9598, 994, 825, 521, 815, 834, 13906, 553, 663, 27594, 4840, 825, 8827, 14061, 5320, 17954, 752, 4433, 267, 9598, 994, 0, 5228, 32308, 644, 18602, 20216, 8526, 1104, 13507, 8253, 303, 6372, 5897, 1029, 10461, 1029, 815, 1412, 292, 2993, 20707, 1014, 2999, 601, 5866, 1014, 287, 326, 21166, 2593, 285, 262, 24653, 5035, 8426, 24998, 8029, 825, 5727, 1477, 825, 589, 521, 644, 18602, 4604, 1591, 23228, 825, 5727, 5897, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 267, 9904, 267, 3090, 22561, 8029, 1038, 5727, 1477, 1038, 8073, 513, 1007, 1591, 269, 5897, 1038, 2433, 12407, 1535, 281, 634, 2473, 11282, 540, 713, 1591, 23228, 1038, 2433, 6943, 1535, 281, 703, 1477, 1038, 2433, 12407, 586, 281, 634, 962, 11282, 540, 713, 1591, 23228, 1038, 2433, 6943, 586, 281, 703, 1477, 1038, 2433, 12407, 9904, 281, 634, 2009, 6698, 538, 519, 4604, 23228, 1038, 2433, 6943, 9904, 281, 1193, 1477, 1038, 2433, 12407, 3090, 281, 634, 1591, 1871, 267, 610, 12181, 14085, 1730, 952, 7164, 23228, 1038, 2433, 6943, 3090, 281, 1193, 610, 7183, 1477, 1038, 5727, 1477, 1038, 1582, 11859, 815, 1535, 1477, 1038, 1582, 13885, 815, 586, 1477, 1038, 1582, 269, 531, 8224, 815, 9904, 1477, 1038, 1582, 269, 32188, 815, 3090, 5897, 1038, 1582, 11519, 25364, 815, 1496, 15947, 1038, 1582, 11519, 335, 6372, 318, 32188, 338, 815, 1305, 263, 531, 8224, 10142, 1038, 952, 3090, 6769, 2018, 952, 3090, 711, 538, 9904, 6769, 3546, 6318, 13507, 8253, 303, 6372, 3488, 296, 331, 29729, 3090, 2016, 20298, 2018, 1582, 11519, 335, 6372, 318, 32188, 338, 31927, 263, 32188, 10142, 825, 1219, 6449, 516, 1440, 9191, 1345, 8029, 1038, 5727, 1477, 1038, 2433, 8873, 281, 589, 28505, 6041, 540, 713, 1591, 23228, 1038, 2433, 337, 6943, 281, 1193, 1477, 1038, 5727, 1477, 1038, 2132, 1412, 28053, 693, 2999, 260, 323, 267, 4939, 323, 285, 609, 1871, 1422, 262, 260, 338, 315, 5257, 4939, 630, 1345, 11859, 267, 1582, 13885, 267, 1582, 269, 32188, 10142, 825, 1219, 4894, 7272, 6372, 318, 32188, 4311, 267, 3090, 8029, 1038, 5727, 1477, 1038, 17179, 513, 2009, 3090, 585, 713, 1591, 269, 5897, 1038, 2433, 12407, 3090, 281, 634, 3090, 602, 568, 711, 2009, 2094, 1631, 23228, 1038, 2433, 6943, 3090, 281, 1193, 1477, 1038, 5727, 1477, 1038, 1582, 11519, 335, 6372, 318, 32188, 338, 269, 4134, 15258, 263, 32188, 10142, 825, 1219, 4894, 7272, 6372, 318, 32188, 338, 4311, 267, 6698, 8029, 1038, 5727, 1477, 1038, 17179, 930, 2009, 6698, 689, 713, 1591, 269, 5897, 1038, 2433, 12407, 6698, 281, 634, 6698, 602, 616, 711, 2009, 2094, 1631, 23228, 1038, 2433, 6943, 6698, 281, 1305, 1477, 1038, 5727, 1477, 1038, 1582, 11519, 335, 6372, 318, 32188, 338, 6155, 29924, 318, 26303, 263, 32188, 338, 10142, 825, 1219, 1305, 318, 32188, 4311, 267, 3090, 8029, 1038, 5727, 1477, 1038, 5590, 513, 1007, 3090, 269, 589, 3090, 666, 581, 1305, 4010, 2899, 538, 519, 10715, 540, 513, 1591, 269, 5897, 1038, 2433, 12407, 3090, 281, 634, 1007, 3090, 23228, 1038, 2433, 6943, 3090, 281, 1193, 1477, 1038, 5727, 5897, 1038, 952, 1582, 269, 32188, 568, 711, 7183, 610, 3090, 711, 538, 1582, 11519, 335, 6372, 318, 32188, 338, 6769, 2018, 6318, 13507, 8253, 303, 6372, 3488, 296, 331, 29729, 3090, 2016, 20298, 1038, 1582, 269, 32188, 815, 3090, 5897, 1038, 585, 1895, 538, 1582, 11519, 25364, 6769, 2018, 1895, 6745, 820, 318, 32188, 263, 32188, 10142, 825, 1219, 1039, 14682, 4981, 4311, 267, 1895, 8029, 1038, 5727, 1477, 1038, 5410, 713, 1591, 547, 513, 1895, 269, 5897, 1038, 2433, 12407, 1895, 281, 634, 1895, 713, 1591, 568, 1631, 851, 540, 23228, 1038, 2433, 6943, 1895, 281, 2433, 5035, 281, 319, 338, 644, 18602, 269, 574, 680, 3052, 4981, 5861, 749, 27026, 319, 1477, 1038, 5727, 1477, 1038, 1582, 11519, 25364, 6910, 14116, 4981, 3418, 1038, 952, 1582, 269, 32188, 6769, 2018, 1895, 6745, 820, 318, 32188, 4311, 269, 32188, 3418, 1038, 585, 3090, 538, 1895, 10947, 4671, 2586, 318, 32188, 338, 28399, 2018, 1582, 11519, 335, 6372, 318, 32188, 338, 269, 4134, 15258, 263, 32188, 10142, 825, 1219, 4894, 14682, 4981, 4311, 267, 1895, 8029, 1038, 5727, 1477, 1038, 17179, 713, 1591, 689, 513, 1895, 269, 5897, 1038, 2433, 12407, 1895, 281, 634, 1895, 547, 4894, 23228, 1038, 2433, 6943, 1895, 281, 2433, 5035, 281, 319, 28053, 27026, 319, 1477, 1038, 5727, 1477, 1038, 1582, 11519, 25364, 31927, 14116, 4981, 10142, 825, 1219, 621, 4733, 14682, 12952, 4311, 8029, 1038, 5727, 1477, 1038, 2433, 8873, 281, 1323, 12055, 1807, 936, 782, 519, 2516, 713, 1591, 568, 851, 540, 23228, 1038, 2433, 337, 6943, 281, 12055, 762, 540, 2433, 5035, 281, 319, 28053, 27026, 319, 268, 338, 1477, 1038, 5727, 1477, 1038, 2132, 630, 16766, 585, 1895, 538, 1582, 11519, 25364, 10142, 825, 1219, 9337, 7272, 6372, 318, 32188, 338, 4311, 8029, 1038, 5727, 1477, 1038, 22352, 519, 2009, 6698, 585, 713, 1591, 267, 3168, 693, 519, 3144, 6698, 538, 782, 824, 2516, 23228, 1038, 5727, 1477, 1038, 1582, 11519, 335, 6372, 318, 32188, 338, 815, 1305, 4311, 269, 531, 8224, 1040, 18528, 2397, 28949, 314, 16766, 6745, 2586, 318, 32188, 338, 585, 1895, 538, 1582, 11519, 25364, 316, 10142, 825, 1219, 1205, 7272, 6372, 318, 32188, 338, 4311, 8029, 1038, 5727, 1477, 1038, 5192, 519, 1305, 540, 2009, 6698, 585, 713, 1591, 269, 5897, 1038, 2433, 16694, 281, 634, 1305, 540, 2009, 6698, 1522, 711, 581, 909, 547, 4266, 269, 5897, 1038, 2433, 8873, 281, 634, 1305, 540, 2009, 6698, 585, 713, 1591, 23228, 1038, 2433, 337, 6943, 281, 1305, 540, 5569, 1477, 1038, 5727, 1477, 1038, 2132, 1582, 11519, 335, 6372, 318, 32188, 338, 5897, 825, 1219, 1205, 19571, 7272, 6372, 318, 32188, 338, 4311, 8029, 1038, 5727, 1477, 1038, 2433, 8873, 281, 634, 1297, 540, 2009, 6698, 585, 713, 1591, 23228, 1038, 2433, 337, 6943, 281, 703, 1477, 1038, 5727, 1477, 1038, 2132, 7003, 4311, 11519, 335, 6372, 318, 32188, 338, 10142, 825, 1219, 1205, 7272, 6372, 318, 32188, 4311, 8029, 1038, 5727, 1477, 1038, 5192, 519, 1152, 2009, 3090, 585, 713, 1591, 269, 1403, 811, 982, 835, 3090, 568, 1477, 1038, 2009, 267, 606, 9868, 786, 581, 6659, 269, 5897, 1038, 2433, 8873, 281, 634, 1152, 2009, 3090, 23228, 1038, 2433, 337, 6943, 281, 1193, 1477, 1038, 5727, 1477, 1038, 7682, 7003, 4311, 11519, 335, 6372, 318, 32188, 338, 264, 2652, 476, 272, 267, 1412, 2467, 568, 811, 982, 835, 2009, 3090, 262, 1477, 1038, 585, 3090, 538, 1582, 11519, 335, 6372, 318, 32188, 338, 6769, 2018, 2132, 3090, 5897, 825, 1219, 568, 318, 24105, 4311, 8029, 1038, 5727, 1477, 1038, 2433, 8873, 281, 12181, 12148, 1730, 476, 858, 713, 1591, 814, 1100, 8655, 3090, 23228, 1038, 2433, 337, 6943, 281, 536, 944, 1477, 1038, 5727, 1477, 1038, 2132, 1582, 269, 32188, 568, 7183, 1477, 0, 18411, 24066, 10663, 519, 1871, 540, 606, 12980, 4082, 538, 681, 27654, 14470, 3502, 566, 563, 11749, 573, 12427, 616, 1341, 267, 910, 267, 2608, 267, 1315, 269, 3962, 1766, 663, 949, 581, 606, 8870, 610, 1776, 4082, 563, 18257, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 21797, 267, 513, 1592, 540, 5569, 454, 825, 1948, 7711, 8873, 606, 8870, 454, 825, 1219, 859, 531, 305, 14149, 4311, 267, 21797, 2187, 1038, 7682, 630, 6352, 6025, 758, 839, 4917, 1038, 1766, 1343, 815, 11713, 1038, 585, 1775, 538, 1535, 9792, 12759, 6025, 758, 839, 15892, 2018, 952, 630, 1345, 18994, 23330, 566, 6025, 758, 839, 5157, 8079, 2187, 3546, 7682, 630, 6352, 263, 6016, 1343, 4917, 3546, 1566, 273, 815, 1766, 1343, 21014, 4590, 3546, 1566, 272, 815, 1766, 1343, 21014, 4590, 3546, 678, 815, 1582, 4318, 1998, 6025, 758, 839, 5157, 3910, 1496, 641, 272, 267, 1566, 273, 7481, 3546, 1766, 1343, 6910, 16868, 994, 2018, 3116, 912, 3546, 1766, 1343, 6910, 17301, 6025, 758, 839, 5157, 28413, 1038, 7682, 7003, 263, 6016, 1343, 994, 1038, 2132, 1766, 1343, 314, 271, 2639, 825, 1219, 568, 23330, 566, 4311, 267, 521, 2187, 1038, 2132, 521, 2652, 25962, 610, 521, 2652, 25023, 610, 521, 2652, 25952, 610, 521, 2652, 23367, 7055, 825, 1219, 859, 531, 4311, 267, 5106, 267, 1566, 571, 2738, 2187, 1038, 678, 815, 7183, 454, 1038, 952, 5106, 2652, 1412, 266, 12466, 2018, 678, 815, 1582, 14491, 263, 641, 571, 2738, 994, 1038, 8640, 5106, 2652, 21029, 12466, 2018, 678, 815, 1582, 16553, 263, 641, 571, 2738, 994, 1038, 8640, 5106, 2652, 24003, 12466, 2018, 678, 815, 1582, 6230, 592, 263, 641, 571, 2738, 994, 1038, 3116, 912, 2018, 7682, 630, 7774, 2652, 23367, 5073, 2018, 678, 815, 1582, 6155, 643, 263, 641, 571, 2738, 994, 1038, 2132, 678, 692, 825, 1219, 1039, 4311, 267, 1566, 571, 2738, 2187, 1038, 678, 815, 476, 271, 454, 1038, 585, 1775, 538, 1535, 9792, 12759, 263, 641, 571, 2738, 15892, 2018, 678, 6834, 1566, 571, 2738, 5157, 2639, 1038, 2132, 678, 454, 825, 1219, 1016, 4311, 267, 1566, 571, 2738, 2187, 1038, 678, 815, 1566, 571, 2738, 314, 271, 2639, 1038, 585, 1775, 538, 1535, 9792, 263, 272, 267, 7003, 263, 641, 571, 2738, 15892, 2018, 678, 20699, 1566, 571, 2738, 5157, 2639, 1038, 2132, 678, 454, 825, 1219, 15273, 4311, 267, 1566, 571, 2738, 2187, 1038, 678, 815, 476, 272, 454, 1038, 585, 1775, 538, 1535, 9792, 12759, 263, 641, 571, 2738, 15892, 2018, 678, 2608, 284, 1566, 571, 2738, 5157, 2639, 1038, 2132, 678, 454, 825, 1219, 2820, 4311, 267, 1566, 571, 2738, 2187, 1038, 678, 815, 1566, 571, 2738, 314, 271, 2639, 1038, 585, 1775, 538, 1535, 9792, 263, 272, 267, 7003, 263, 641, 571, 2738, 15892, 2018, 678, 1315, 284, 1566, 571, 2738, 5157, 2639 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7445, 6234, 476, 274, 343, 317, 273, 266, 273, 343, 268, 272, 284, 271, 315, 14204, 315, 7445, 6234, 476, 273, 343, 268, 272, 284, 274, 343, 317, 273, 315, 14204, 315, 7445, 6234, 910, 272, 284, 274, 343, 317, 273, 270, 273, 343, 315, 14204, 315, 7445, 6234, 910, 272, 284, 274, 343, 270, 273, 315, 14204, 315, 7445, 6234, 476, 271, 815, 630, 274, 343, 266, 273, 8358, 273, 315, 6911, 6533, 692, 315, 7445, 6234, 476, 271, 815, 476, 274, 343, 266, 273, 315, 14204, 315, 7445, 6234, 910, 273, 270, 274, 815, 1535, 315, 6911, 2254, 2386, 952, 1775, 3893, 713, 851, 1318, 563, 1892, 8734, 476, 1240, 628, 476, 1220, 280, 267, 476, 6349, 281, 6078, 6751, 454, 335, 1886, 329, 7897, 454, 32621, 1384, 23192, 17397, 676, 2736, 454, 8340, 519, 2565, 2338, 540, 519, 1599, 26142, 7445, 6234, 535, 3287, 264, 815, 1535, 317, 274, 1341, 1535, 317, 273, 910, 1535, 315, 6911, 6343, 338, 519, 4130, 1871, 543, 519, 3677, 1871, 2496, 1492, 12045, 540, 713, 568, 454, 274, 343, 317, 273, 266, 273, 343, 268, 272, 855, 1775, 1205, 4503, 1318, 1310, 780, 325, 3287, 6661, 263, 343, 317, 274, 11924, 263, 343, 317, 273, 9984, 343, 454, 325, 21948, 343, 6661, 263, 274, 343, 317, 273, 11924, 263, 273, 343, 9984, 272, 692, 3553, 602, 3160, 547, 4642, 269, 596, 786, 723, 547, 3815, 519, 9971, 547, 1205, 692, 263, 274, 343, 268, 272, 7565, 343, 266, 272, 6661, 271, 692, 810, 692, 274, 343, 268, 272, 284, 271, 454, 274, 343, 284, 272, 454, 343, 284, 272, 270, 274, 692, 343, 266, 272, 284, 271, 454, 343, 15871, 272, 692, 29006, 616, 707, 2565, 2418, 454, 1892, 8734, 476, 1240, 628, 476, 1220, 280, 267, 476, 6349, 281, 5655, 6751, 454, 335, 1886, 329, 7897, 454, 32621, 1384, 23192, 17397, 676, 7729, 2678, 454, 322, 15560, 2418, 2049, 1141, 535, 21948, 343, 264, 815, 476, 271, 610, 1141, 535, 21948, 343, 264, 568, 3768, 18249, 780, 3553, 519, 1657, 12045, 3160, 547, 476, 271, 543, 4194, 585, 519, 2565, 2418, 540, 1535, 267, 1287, 3313, 970, 516, 2742, 780, 5228, 1250, 1620, 267, 2565, 2418, 616, 1141, 535, 21948, 343, 6661, 271, 692, 4820, 819, 2338, 616, 1141, 535, 21948, 343, 6661, 271, 610, 568, 3768, 18249, 454, 1892, 8734, 476, 1240, 628, 476, 1220, 280, 267, 476, 6349, 281, 7871, 6751, 454, 338, 651, 2678, 454, 32621, 1384, 23192, 17397, 676, 4412, 329, 7897, 454, 5228, 1250, 1620, 267, 2565, 2418, 616, 1141, 535, 21948, 343, 6661, 271, 692, 4820, 819, 2338, 616, 1141, 535, 21948, 343, 6661, 271, 610, 568, 3768, 18249, 692, 26469, 338, 6732, 11872, 2433, 20145, 594, 910, 11879, 18745 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1998, 6672, 3799, 267, 273, 5148, 333, 10030, 282, 333, 9563, 284, 1998, 6672, 3799, 267, 273, 5148, 333, 285, 272, 282, 12061, 6944, 580, 8138, 572, 336, 17635, 6661, 346, 476, 585, 9217, 284, 276, 267, 273, 317, 258, 341, 268, 272, 267, 825, 952, 3799, 517, 4186, 580, 9217, 1070, 8587, 1820, 263, 557, 576, 868, 847, 17635, 267, 328, 4297, 825, 3738, 476, 3738, 348, 282, 12061, 6944, 580, 8138, 572, 336, 8443, 272, 267, 273, 267, 274, 8079, 12061, 6944, 580, 8138, 572, 336, 8443, 257, 320, 14824, 321, 14824, 322, 14824, 323, 14824, 324, 257, 8079, 319, 454, 20479, 912, 3499, 314, 272, 267, 476, 274, 6540, 14277, 320, 2580, 834, 322, 31116, 14277, 320, 2580, 834, 323, 31116, 14277, 321, 2580, 834, 323, 31116, 14277, 320, 2580, 834, 321, 2580, 834, 323, 31116, 14277, 320, 2580, 834, 322, 2580, 834, 323, 31116, 14277, 320, 2580, 834, 324, 31116, 14277, 321, 2580, 834, 324, 31116, 14277, 320, 2580, 834, 321, 2580, 834, 324, 31116, 14277, 322, 2580, 834, 324, 31116, 14277, 320, 2580, 834, 322, 2580, 834, 324, 31116, 14277, 321, 2580, 834, 322, 2580, 834, 324, 31116, 14277, 320, 2580, 834, 321, 2580, 834, 322, 2580, 834, 324, 31116, 14277, 320, 2580, 834, 323, 2580, 834, 324, 31116, 14277, 321, 2580, 834, 323, 2580, 834, 324, 31116, 14277, 320, 2580, 834, 321, 2580, 834, 323, 2580, 834, 324, 31116, 14277, 320, 2580, 834, 322, 2580, 834, 323, 2580, 834, 324, 19312, 7884, 1012, 3131, 331, 692, 319, 3240, 630, 15478, 10946, 267, 7711, 9690, 5148, 11357, 1875, 318, 11666, 6681, 2715, 1038, 1250, 630, 15478, 30915, 267, 8096, 13757, 14682, 777, 267, 8096, 11398, 264, 815, 7711, 318, 282, 1109, 1038, 585, 630, 15478, 30915, 10371, 8096, 10946, 264, 2715, 3546, 7903, 7711, 9690, 267, 8096, 318, 282, 3546, 1948, 1820, 834, 287, 9690, 14826, 257, 952, 8096, 13757, 14682, 777, 282, 1948, 9296, 618, 585, 5458, 3977, 3546, 8096, 11398, 1341, 266, 952, 8096, 13757, 14682, 777, 282, 3546, 8096, 11398, 6834, 1875, 318, 11666, 6681, 7268, 259, 318, 1341, 476, 272, 267, 8096, 13757, 14682, 777, 264, 567, 952, 8096, 318, 2999, 8096, 10946, 282, 3546, 1402, 7711, 9690, 282, 3546, 8096, 13757, 14682, 777, 815, 7711, 9690, 282, 567, 1948, 1810, 1405, 1305, 7934, 9206, 952, 621, 781, 8900, 1869, 1038, 7684, 1038, 8096, 11398, 282, 348, 1109, 15478, 10946, 815, 476, 736, 282, 8587, 1948, 476, 10441, 279, 3607, 276, 9696, 267, 476, 1015, 7643, 268, 880, 2745, 834, 11398, 14307, 1875, 318, 11666, 6681, 263, 272, 1070, 834, 9696, 14826, 21968, 26384, 1012, 3131, 331, 476, 277, 692, 17582, 609, 281, 986, 330, 30186, 4528, 476, 1001, 276, 268, 6021, 268, 2190, 454, 319, 11357, 1875, 318, 11666, 6681, 5334, 889, 25119, 630, 2608, 287, 4289, 3738, 2715, 825, 7711, 4289, 2593, 321, 5209, 3052, 10517, 281, 2715, 476, 272, 11203, 782, 263, 1547, 314, 476, 271, 9745, 907, 1547, 754, 316, 2098, 268, 1547, 314, 271, 10371, 317, 1547, 754, 316, 3738, 31998, 1109, 25669, 1875, 318, 11666, 6681, 5334, 889, 25119, 263, 476, 272, 907, 274, 3738, 14872, 269, 326, 626, 282, 25669, 1875, 318, 11666, 6681, 5334, 889, 25119, 263, 476, 272, 907, 275, 3738, 14872, 269, 326, 626, 282, 25669, 1875, 318, 11666, 6681, 5334, 889, 25119, 263, 567, 9745, 275, 15426, 14090, 281, 2715, 314, 283, 320, 536, 524, 546, 285, 314, 269, 4289, 316, 4940, 326, 626, 348, 32547, 454, 20479, 912, 3499, 9230, 272, 476, 274, 4917, 9230, 272, 476, 274, 264, 630, 272, 476, 275, 264, 630, 273, 476, 275, 264, 630, 272, 476, 273, 476, 275, 264, 630, 272, 476, 274, 476, 275, 4917, 8443, 320, 524, 316, 1496, 320, 546, 316, 1496, 321, 546, 316, 1496, 320, 536, 546, 316, 1496, 320, 524, 546, 8079, 7884, 1012, 1912, 1460, 692, 1805, 571, 697, 3453, 25276, 6388, 267, 519, 1152, 5634, 8945, 568, 602, 513, 7934, 1281, 711, 1611, 1875, 9762, 27631, 2394, 596, 2965, 1491, 1945, 2663, 563, 15575, 338, 1875, 9762, 27631, 6102, 1878, 540, 9696, 476, 272, 907, 736, 538, 1175, 936, 476, 271, 269, 276, 7643, 692, 319, 321, 944, 1293, 21671, 815, 7301, 15759, 518, 1293, 815, 476, 271, 1109, 2889, 1027, 675, 562, 14369, 263, 30084, 1964, 267, 8870, 27632, 284, 271, 267, 5311, 3144, 28121, 9574, 536, 944, 733, 580, 284, 32401, 267, 536, 944, 7934, 284, 32401, 264, 825, 952, 27632, 285, 284, 26319, 263, 6135, 264, 1287, 1038, 952, 733, 580, 1287, 2018, 952, 1293, 21671, 1287, 3546, 1293, 6834, 476, 272, 2018, 3116, 3546, 1109, 286, 339, 2586, 2018, 1439, 952, 1038, 1439, 952, 825, 3116, 1038, 27632, 6834, 476, 272, 1038, 562, 14369, 263, 6135, 267, 686, 25722, 2586, 261, 6135, 314, 686, 3910, 326, 777, 267, 326, 777, 264, 1038, 562, 14369, 263, 6135, 267, 686, 25722, 2586, 267, 4186, 580, 267, 26319, 6025, 2586, 25631, 284, 271, 264, 825, 1439, 952, 754, 5650, 1109, 333, 14369, 20719, 272, 267, 273, 267, 274, 16585, 8119, 2525, 6889, 333, 14369, 20719, 272, 267, 273, 267, 274, 267, 275, 16585, 8119, 2525, 6889, 12248, 21671, 815, 3020, 520, 558, 512, 271, 815, 942, 3890, 30084, 521, 815, 15079, 1721, 1775, 284, 272, 547, 476, 736, 798, 825, 1293, 815, 476, 271, 825, 562, 14369, 6025, 698, 3553, 9217, 4297, 825, 521, 815, 16289, 4433, 267, 12248, 264, 754, 585, 286, 5503, 3890, 268, 339, 271, 286, 338, 319, 454, 20479, 912, 3499, 346, 272, 267, 274, 8679, 257, 2525, 284, 4840, 346, 272, 267, 273, 267, 275, 8679, 346, 272, 267, 274, 267, 275, 8679, 346, 272, 267, 274, 8679, 346, 272, 267, 275, 8679, 346, 273, 267, 275, 8679, 257, 2525, 284, 4840, 271, 269, 276, 1428, 454, 346, 271, 267, 271, 267, 272, 267, 276, 267, 1626, 267, 5655, 267, 4200, 267, 25546, 267, 5379, 277, 267, 280, 6924, 267, 2735, 272, 267, 25002, 278, 267, 279, 1015, 271, 267, 14341, 4281, 267, 30444, 5325, 267, 4792, 274, 4200, 267, 9873, 280, 1240, 267, 28360, 280, 7761, 267, 276, 2190, 6021, 278, 267, 10441, 279, 3607, 276, 8679, 7884, 1012, 623, 4815, 299, 7371, 692, 9558, 3175, 540, 281, 30868, 454, 319, 263, 1372, 562, 322, 11357, 572, 336, 630, 299, 560, 264, 567, 630, 2280, 590, 476, 271, 8587, 630, 516, 2017, 630, 306, 700, 560, 264, 1363, 630, 604, 333, 700, 560, 2018, 630, 663, 630, 285, 284, 590, 476, 274, 264, 1412, 263, 301, 6579, 4297, 2018, 630, 2280, 630, 311, 630, 8364, 700, 560, 264, 476, 2473, 306, 630, 7251, 337, 700, 560, 4297, 25639, 630, 604, 333, 630, 4226, 286, 476, 272, 590, 264, 476, 1948, 1256, 4449, 476, 630, 935, 322, 4449, 672, 630, 14090, 8364, 1412, 9230, 22076, 264, 630, 4621, 2473, 962, 306, 4297, 13376, 630, 516, 2017, 572, 630, 4532, 590, 264, 2473, 306, 264, 3738, 4449, 672, 630, 516, 2017, 572, 590, 2473, 306, 264, 3738, 4449, 476, 630, 935, 322, 4449, 672, 630, 14090, 8364, 1412, 9230, 22076, 264, 630, 4621, 2473, 962, 306, 4297, 13376, 630, 516, 2017, 572, 590, 2473, 306, 264, 3738, 4449, 672, 630, 516, 2017, 572, 630, 4532, 590, 264, 2473, 306, 264, 3738, 3738, 3738, 3738, 3738, 3738, 3738, 26384, 1012, 7377, 1556, 692, 2171, 12189, 8106, 25276, 5108, 540, 29162, 267, 1210, 4632, 547, 1832, 3950, 952, 6102, 775, 568, 6024, 780, 319, 3698, 710, 562, 322, 11357, 572, 336, 10857, 5148, 825, 561, 341, 1513, 934, 815, 1496, 3910, 7934, 318, 11034, 539, 815, 7301, 267, 568, 318, 11666, 6681, 815, 3020, 282, 825, 5581, 798, 318, 527, 10857, 272, 267, 561, 273, 5148, 1038, 546, 29985, 7934, 318, 11034, 539, 282, 1038, 561, 341, 1513, 1714, 267, 4688, 318, 529, 318, 11666, 6681, 815, 568, 318, 11666, 6681, 282, 1038, 952, 561, 273, 815, 32582, 1287, 2018, 952, 711, 263, 529, 318, 11666, 6681, 264, 1287, 3546, 931, 10857, 272, 267, 934, 264, 9847, 934, 282, 2018, 1439, 604, 282, 1038, 3116, 2018, 4395, 10857, 273, 264, 9847, 1714, 282, 2018, 1394, 10857, 273, 264, 9847, 561, 273, 282, 2018, 711, 14116, 777, 318, 11034, 539, 264, 543, 568, 318, 11666, 6681, 9847, 568, 318, 11666, 6681, 282, 2018, 798, 318, 527, 263, 4621, 263, 601, 267, 561, 272, 1070, 561, 273, 5148, 2018, 4688, 318, 529, 318, 11666, 6681, 9847, 568, 318, 11666, 6681, 282, 2018, 711, 10857, 272, 815, 1496, 8079, 610, 7934, 318, 11034, 539, 9847, 7934, 318, 11034, 539, 282, 2018, 798, 318, 527, 10857, 272, 267, 561, 273, 5148, 1038, 1439, 604, 282, 825, 1439, 3698, 710, 282, 825, 798, 318, 527, 8443, 3910, 2847, 10857, 4297, 282, 825, 934, 282, 754, 3698, 710, 282, 1109, 333, 322, 11357, 572, 336, 8443, 272, 476, 273, 476, 274, 476, 275, 476, 276, 8079, 18092, 319, 454, 20479, 912, 3499, 314, 314, 272, 476, 274, 316, 1496, 272, 476, 275, 316, 1496, 273, 476, 275, 316, 1496, 272, 476, 273, 476, 275, 316, 1496, 272, 476, 274, 476, 275, 316, 1496, 272, 476, 276, 316, 1496, 273, 476, 276, 316, 1496, 272, 476, 273, 476, 276, 316, 1496, 274, 476, 276, 316, 1496, 272, 476, 274, 476, 276, 2639, 314, 273, 476, 274, 476, 276, 316, 1496, 272, 476, 273, 476, 274, 476, 276, 316, 1496, 272, 476, 275, 476, 276, 316, 1496, 273, 476, 275, 476, 276, 316, 1496, 272, 476, 273, 476, 275, 476, 276, 316, 1496, 272, 476, 274, 476, 275, 476, 276, 14963, 7884, 1012, 5295, 9515, 961, 692, 319, 31262, 4427, 306, 3225, 775, 630, 1496, 26161, 316, 8096, 306, 267, 1496, 22517, 18978, 316, 8096, 718, 7807, 259, 32401, 3738, 346, 567, 8096, 2675, 815, 8096, 306, 29644, 567, 952, 263, 8096, 2675, 910, 25885, 630, 476, 273, 910, 1496, 4504, 3953, 316, 8096, 718, 3738, 3738, 2715, 8587, 1496, 341, 1355, 316, 8096, 2675, 734, 8587, 476, 271, 907, 15478, 2675, 1923, 1280, 10376, 268, 30606, 2715, 1363, 8096, 326, 777, 815, 8096, 318, 1363, 834, 15478, 263, 8096, 306, 314, 8096, 318, 9948, 3738, 257, 1363, 952, 263, 8096, 326, 777, 910, 2741, 8096, 2675, 3738, 1363, 2715, 2018, 4427, 306, 3225, 775, 630, 630, 8096, 326, 777, 1341, 476, 272, 3738, 907, 15478, 2675, 1923, 7316, 268, 30606, 2715, 8096, 318, 910, 928, 8096, 326, 777, 7684, 3738, 630, 630, 8096, 326, 777, 910, 928, 476, 271, 3738, 910, 528, 8096, 718, 3738, 1923, 1280, 10376, 268, 30606, 2715, 25639, 1496, 21803, 13912, 281, 18794, 263, 22207, 3299, 630, 630, 1496, 21803, 316, 15478, 318, 15426, 306, 5902, 263, 3299, 10807, 1923, 1280, 10376, 268, 30606, 2715, 4449, 476, 8096, 2741, 815, 8096, 25152, 25639, 7684, 2715, 4449, 476, 952, 263, 8096, 2741, 910, 663, 630, 8096, 318, 910, 25885, 8096, 326, 777, 3738, 3738, 4449, 476, 2715, 4449, 672, 8096, 306, 314, 8096, 326, 777, 9948, 4449, 672, 8096, 2741, 815, 8096, 32401, 4449, 476, 7684, 4449, 476, 8096, 306, 314, 8096, 318, 9948, 25639, 7684, 2715, 4449, 476, 952, 263, 8096, 2741, 3738, 4449, 476, 2715, 4449, 672, 8096, 306, 314, 8096, 326, 777, 9948, 4449, 476, 7684, 25639, 7684, 25639, 3738, 3738, 2018, 7684, 1363, 7684, 8587, 7684, 8587, 1948, 314, 21803, 13912, 281, 18794, 263, 22207, 3299, 8096, 306, 264, 567, 7684, 3116, 2715, 11434, 8096, 306, 1923, 1280, 10376, 268, 30606, 2715, 1496, 21803, 316, 8096, 318, 7684, 825, 31998, 1109, 31262, 6348, 16676, 6681, 4149, 889, 306, 3225, 775, 630, 1496, 26161, 316, 8096, 306, 3738, 346, 567, 8096, 2675, 815, 8096, 306, 29644, 567, 952, 263, 8096, 2675, 910, 18091, 476, 274, 3738, 567, 2715, 8587, 1496, 21803, 13912, 281, 18794, 263, 22207, 3299, 8096, 306, 314, 630, 476, 271, 267, 273, 3738, 9948, 3738, 567, 7684, 3116, 604, 630, 8096, 2675, 910, 25885, 476, 274, 3738, 2715, 8587, 1496, 341, 1355, 316, 8096, 2675, 734, 8587, 8096, 326, 2355, 815, 7711, 3890, 8587, 8096, 326, 2355, 6834, 630, 630, 6348, 16676, 6681, 4149, 889, 306, 3225, 775, 630, 476, 272, 907, 15478, 2675, 3738, 3738, 1923, 1280, 10376, 268, 30606, 2715, 1363, 8096, 326, 777, 272, 815, 834, 12101, 259, 318, 2437, 1363, 834, 271, 267, 346, 271, 348, 257, 910, 325, 630, 1496, 21803, 13912, 281, 18794, 263, 22207, 3299, 630, 476, 272, 907, 15478 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20524, 519, 4750, 3245, 19461, 22830, 547, 7388, 1540, 9452, 589, 20758, 549, 2041, 602, 5012, 547, 513, 14810, 1158, 1547, 1547, 1547, 513, 14906, 819, 540, 17283, 5143, 676, 25347, 322, 7949, 345, 543, 2871, 843, 523, 560, 1716, 1547, 1547, 1547, 519, 1272, 543, 2053, 540, 519, 654, 17673, 654, 3558, 540, 519, 4639, 1547, 1547, 1547, 3807, 1141, 798, 3811, 5830, 1205, 741, 2093, 286, 8191, 12049, 6519, 1629, 22438, 5809, 519, 3860, 1184, 540, 2856, 5108, 676, 8840, 621, 1524, 883, 3670, 1898, 5933, 281, 2856, 6284, 267, 2856, 29164, 267, 24152, 267, 1382, 267, 26004, 267, 543, 14469, 269, 769, 7316, 1684, 1411, 5192, 2659, 14313, 286, 596, 786, 1451, 281, 1215, 547, 1711, 267, 10891, 267, 543, 1832, 513, 5856, 781, 21641, 269, 7316, 547, 1413, 585, 2093, 2987, 3232, 7422, 267, 2835, 267, 3377, 4930, 267, 543, 17476, 7146, 875, 547, 5431, 513, 1650, 950, 596, 1294, 835, 269, 9828, 585, 3384, 2093, 883, 3860, 1568, 540, 5708, 543, 1875, 27395, 281, 1863, 12431, 1539, 908, 267, 17609, 267, 11837, 267, 543, 2458, 1645, 269, 1215, 547, 2981, 513, 1434, 2856, 883, 513, 1390, 1650, 267, 3209, 267, 610, 17728, 269, 2060, 4052, 5796, 267, 2553, 267, 543, 5751, 267, 7132, 476, 4037, 25761, 2093, 547, 7914, 3613, 691, 707, 5876, 267, 7316, 1684, 1411, 5192, 2659, 14313, 286, 786, 7485, 1394, 519, 1225, 1555, 593, 519, 9059, 540, 2856, 5108, 543, 7866, 519, 5763, 540, 1603, 6667, 1318, 538, 4395, 540, 596, 269, 0, 288, 25916, 531, 6802, 568, 2215, 539, 950, 519, 25825, 540, 519, 6802, 616, 4904, 609, 519, 5277, 547, 581, 29253, 269, 634, 5277, 30283, 519, 2011, 267, 3154, 267, 610, 11517, 538, 519, 25825, 269, 31203, 540, 519, 2011, 267, 3154, 267, 610, 11517, 949, 581, 2944, 16924, 610, 8850, 267, 4470, 593, 519, 1826, 540, 3937, 543, 8060, 1031, 269, 1677, 835, 5432, 609, 2318, 12761, 15450, 540, 519, 25262, 908, 543, 27414, 2010, 1152, 267, 621, 1522, 3100, 9490, 602, 513, 25916, 531, 6802, 3112, 6305, 3294, 269, 15474, 12761, 15450, 267, 952, 5265, 20177, 267, 786, 6802, 2011, 607, 1134, 607, 5277, 543, 786, 267, 4061, 267, 9688, 1022, 2011, 538, 519, 32137, 1899, 269, 2578, 22989, 531, 15450, 786, 849, 6802, 2011, 630, 4186, 9009, 547, 4122, 4371, 6644, 1070, 855, 1317, 540, 519, 1970, 5860, 540, 2011, 519, 4890, 2604, 2919, 950, 23028, 621, 568, 1360, 1507, 563, 21292, 309, 659, 10840, 27124, 2578, 22989, 531, 27124, 10021, 532, 3590, 6744, 4406, 557, 20764, 4406, 557, 454, 4462, 762, 547, 4159, 12744, 269, 8281, 12744, 7300, 269, 0, 288, 1297, 540, 5289, 626, 1974, 25025, 7902, 538, 519, 13524, 2540, 267, 543, 891, 1705, 1454, 547, 3180, 519, 3350, 1927, 269, 7324, 519, 1034, 1271, 941, 519, 3018, 15533, 519, 14465, 1676, 540, 8752, 630, 289, 10667, 1070, 519, 9671, 1470, 268, 4942, 3342, 28441, 4750, 630, 2419, 8522, 1070, 9650, 543, 17460, 630, 24589, 14702, 1070, 519, 20154, 626, 630, 26780, 1070, 543, 519, 23839, 630, 26780, 1040, 4033, 9565, 1974, 25025, 941, 519, 4860, 826, 9454, 924, 630, 293, 8896, 1070, 2274, 11619, 4526, 630, 14582, 17753, 1070, 1323, 2522, 328, 546, 10314, 13336, 1143, 334, 630, 2005, 3315, 1070, 4432, 7600, 518, 1470, 10507, 2869, 527, 16695, 630, 8967, 664, 1070, 543, 519, 4498, 321, 5424, 540, 8752, 630, 288, 20624, 1040, 1635, 476, 6642, 271, 267, 972, 941, 827, 1614, 18797, 10865, 5289, 626, 1974, 25025, 3370, 1472, 519, 1158, 269, 1452, 1974, 25025, 28209, 513, 1390, 4308, 689, 1142, 824, 267, 10452, 519, 1390, 3604, 1851, 5289, 1235, 269, 2368, 267, 971, 607, 519, 3703, 20154, 18225, 941, 4168, 543, 15061, 267, 16175, 7947, 532, 519, 6963, 14768, 865, 2178, 1369, 5289, 1143, 269, 11524, 267, 971, 607, 5274, 7186, 267, 941, 11329, 569, 1875, 268, 22146, 543, 11215, 540, 25847, 543, 6963, 3646, 269, 12846, 1866, 267, 971, 607, 519, 20154, 626, 267, 13986, 547, 2070, 5289, 626, 9259, 689, 513, 3621, 5133, 267, 1965, 3832, 9405, 4901, 593, 1312, 24396, 543, 6963, 2152, 563, 306, 2869, 3770, 1235, 1419, 1305, 4728, 476, 4029, 267, 476, 7277, 279, 267, 607, 519, 4098, 540, 741, 3350, 269, 2201, 602, 4266, 267, 25562, 543, 20152, 16737, 267, 540, 5754, 9188, 6807, 267, 1715, 3840, 267, 4080, 602, 789, 1185, 1500, 3346, 609, 513, 6891, 602, 729, 2663, 10645, 547, 581, 519, 6891, 540, 513, 23689, 7895, 323, 2401, 4171, 1560, 729, 1336, 538, 519, 2777, 267, 1498, 1100, 2594, 540, 971, 513, 1268, 729, 2479, 1336, 269, 634, 6891, 729, 1767, 547, 723, 28078, 998, 986, 6137, 21089, 267, 2912, 1043, 547, 593, 19972, 619, 269, 634, 2963, 540, 519, 12823, 4300, 4705, 547, 18374, 16490, 4892, 267, 543, 519, 16737, 19946, 2968, 513, 14815, 269, 1306, 519, 1101, 28910, 23447, 267, 519, 19946, 3533, 2968, 4583, 585, 741, 1857, 521, 2946, 1734, 538, 1715, 3840, 269, 1717, 267, 538, 476, 6642, 279, 519, 16737, 19946, 15861, 602, 713, 834, 4186, 716, 257, 609, 519, 6891, 729, 513, 11876, 1314, 267, 1498, 16172, 26063, 789, 973, 5896, 602, 16075, 563, 23389, 25252, 1243, 1232, 802, 585, 645, 21516, 660, 541, 1442, 267, 654, 14660, 1777, 1897, 326, 20579, 1442, 543, 28554, 4115, 20579, 1442, 616, 1114, 269, 1358, 616, 711, 3020, 13545, 582, 14121, 541, 1442, 24502, 267, 855, 513, 28554, 4115, 610, 654, 14660, 1777, 1897, 326, 4806, 540, 519, 3044, 4436, 25252, 1243, 1232, 802, 609, 1152, 476, 3607, 6486, 282, 519, 10398, 6486, 8151, 689, 476, 277, 547, 476, 1015, 267, 7201, 12928, 1511, 630, 4462, 614, 1070, 3683, 12928, 1511, 630, 302, 828, 1070, 3751, 267, 543, 589, 576, 269, 1452, 946, 589, 576, 6874, 523, 20823, 267, 899, 918, 5055, 591, 329, 553, 267, 1141, 589, 576, 568, 519, 5207, 4553, 676, 476, 1015, 267, 3751, 267, 744, 828, 267, 1133, 614, 267, 1287, 476, 280, 547, 476, 277, 269, 634, 2295, 9290, 568, 519, 9949, 25041, 9290, 269, 634, 28554, 4115, 16064, 568, 849, 1031, 547, 1404, 5576, 2378, 330, 641, 325, 676, 27195, 519, 14520, 525, 563, 296, 723, 1044, 2542, 24015, 2094, 5181, 476, 1220, 273, 269, 3683, 602, 942, 594, 723, 7902, 693, 1082, 5369, 545, 674, 4202, 2066, 14411, 282, 24964, 547, 5851, 3487, 625, 2066, 3345, 3013, 543, 723, 2944, 1082, 25439, 543, 4787, 4286, 13220, 2066, 4516, 267, 519, 7330, 543, 1472, 519, 1158, 269, 594, 723, 1044, 12286, 607, 968, 3080, 540, 4516, 779, 570, 8008, 13662, 21062, 12903, 538, 519, 2923, 593, 7641, 267, 15571, 267, 1715, 335, 3639, 267, 1256, 519, 3382, 540, 513, 12139, 269, 3733, 5759, 2097, 689, 519, 2696, 11905, 267, 594, 723, 2141, 1185, 891, 13344, 1175, 1705, 711, 4628, 1174, 873, 2394, 476, 1220, 271, 267, 950, 594, 3459, 547, 19820, 538, 543, 21220, 2586, 269, 594, 3494, 602, 649, 782, 723, 2618, 545, 5759, 267, 1175, 930, 540, 721, 616, 1175, 811, 3222, 540, 873, 267, 543, 930, 616, 1934, 547, 581, 519, 3190, 12310, 689, 13140, 267, 607, 594, 993, 269, 7490, 2972, 519, 942, 596, 6108, 3168, 1472, 1250, 3135, 267, 1745, 1863, 547, 6494, 803, 8292, 543, 5955, 269, 17721, 267, 6828, 267, 25439, 267, 4787, 4286, 267, 19478, 267, 610, 5851, 9549, 3367, 902, 666, 782, 581, 11231, 676, 11423, 856, 938, 2228, 1106, 267, 10912, 476, 31982, 476, 280, 4343, 476, 28873, 277, 610, 676, 4757, 693, 281, 18078, 17106, 11333, 3820, 563, 9515, 1287, 5828, 936, 1776, 1079, 6486, 602, 941, 5921, 547, 581, 3871, 594, 729, 4867, 7231, 609, 269, 1358, 1312, 8694, 909, 1373, 11680, 9497, 2791, 4312, 3893, 1614, 540, 519, 2185, 269, 594, 4312, 2760, 2938, 602, 256, 8442, 609, 835, 1373, 519, 590, 720, 543, 519, 824, 1373, 519, 4132, 269, 1403, 594, 3357, 585, 513, 2542, 602, 5059, 593, 1250, 4664, 543, 3347, 267, 594, 3893, 1259, 811, 982, 594, 1223, 4312, 4397, 269, 634, 590, 720, 3556, 568, 827, 4743, 8746, 827, 707, 1702, 543, 4978, 269, 834, 2252, 972, 781, 930, 3819, 1747, 538, 707, 3929, 8552, 267, 1216, 621, 269, 12315, 3054, 1018, 596, 991, 543, 1810, 1405, 8209, 2503, 2576, 3116, 547, 798, 602, 1701, 2701, 6045, 519, 1126, 3556, 267, 6031, 602, 621, 781, 5921, 547, 2995, 803, 547, 1450, 8885, 547, 11760, 1250, 4664, 543, 5963, 1577, 8885, 1745, 873, 267, 1256, 952, 789, 2811, 711, 2141, 519, 1034, 16990, 563, 763, 834, 22764, 2275, 731, 3262, 257, 568, 835, 540, 519, 1034, 2241, 543, 2500, 13545, 582, 19082, 269, 1411, 666, 4188, 519, 6688, 547, 13918, 1022, 3510, 630, 335, 770, 267, 1459, 267, 2104, 282, 3054, 267, 519, 824, 1268, 267, 519, 2078, 282, 3255, 267, 2591, 267, 4093, 282, 2247, 267, 1560, 267, 6891, 1040, 634, 6486, 543, 741, 7222, 7158, 786, 24672, 16616, 7554, 543, 6384, 269, 1809, 1354, 2542, 519, 3551, 7778, 540, 1142, 3556, 267, 1491, 513, 4090, 547, 1711, 707, 1378, 1650, 1759, 593, 8343, 269, 1215, 798, 519, 6486, 596, 16668, 1118, 596, 1745, 286, 1548, 616, 519, 4778, 543, 6698, 286, 1403, 972, 616, 3197, 267, 616, 789, 6849, 2509, 610, 2476, 689, 1142, 824, 286, 1684, 519, 12383, 3100, 23887, 610, 771, 329, 31212, 888, 763, 6891, 23031, 5261, 16593, 8945, 539, 5261, 15867, 10280, 609, 513, 16995, 6891, 8523, 540, 1010, 7385, 538, 476, 5002, 277, 269, 20182, 700, 17690, 7000, 972, 1185, 1044, 6654, 4191, 540, 5595, 4598, 267, 519, 4605, 540, 15248, 15867, 10280, 1185, 1044, 23652, 689, 513, 16806, 16683, 8523, 267, 2705, 267, 15867, 10280, 729, 513, 18617, 5289, 626, 543, 10645, 621, 729, 9758, 2963, 585, 6891, 10344, 563, 763, 2618, 673, 11001, 3371, 1189, 29336, 15838, 6534, 30081, 23447, 262, 15361, 267, 971, 607, 1346, 1031, 538, 1793, 622, 2914, 3876, 267, 3349, 2389, 9506, 267, 25041, 564, 23447, 1222, 267, 1570, 3074, 267, 20177, 268, 12072, 2542, 267, 543, 6891, 10344, 269, 634, 7729, 10364, 9478, 15966, 23042, 267, 538, 1010, 1433, 1772, 20154, 1143, 9122, 593, 17793, 644, 286, 630, 4572, 271, 1070, 13006, 1082, 30081, 23447, 543, 741, 15361, 563, 763, 30081, 5420, 30370, 3798, 7773, 21334, 539, 646, 1185, 546, 1575, 539, 1010, 521, 2946, 766, 1694, 1562, 543, 7000, 519, 30081, 2409, 646, 1185, 1031, 538, 1010, 1433, 1849, 1442, 9453, 24732, 630, 4198, 276, 1040, 634, 2618, 673, 11001, 25414, 26658, 11567, 519, 23447, 1222, 540, 22176, 322, 20831, 538, 476, 4198, 276, 269, 4438, 519, 521, 2946, 766, 834, 338, 2869, 527, 257, 1570, 3074, 7153, 689, 513, 22277, 543, 15336, 1472, 519, 4055, 269, 26658, 5206, 602, 513, 7181, 15555, 1076, 267, 15522, 1159, 2454, 7362, 543, 513, 13942, 5795, 621, 2476, 602, 782, 519, 6891, 5515, 941, 538, 1249, 20831, 543, 602, 646, 1185, 21039, 909, 607, 1142, 835, 3297, 519, 22277, 563, 288, 1360, 1804, 851, 568, 5129, 676, 12611, 538, 5289, 2065, 2853, 267, 1312, 538, 519, 2168, 543, 2618, 673, 267, 610, 13128, 267, 9259, 267, 855, 2523, 538, 519, 5449, 269, 634, 4908, 609, 799, 23447, 723, 1044, 26722, 540, 12611, 814, 267, 8197, 267, 13251, 1082, 1004, 547, 10205, 519, 1353, 540, 2618, 673, 1382, 267, 32198, 519, 2898, 13557, 540, 519, 9259, 547, 581, 12611, 592, 1836, 3812, 563, 763, 1101, 540, 891, 4797, 519, 2245, 540, 1367, 9439, 267, 22555, 538, 10580, 10704, 593, 513, 5420, 543, 7218, 267, 1510, 1022, 15796, 610, 2915, 2742, 269, 1325, 2819, 676, 519, 3735, 476, 866, 628, 2540, 5289, 1143, 1185, 1831, 5051, 5348, 4038, 545, 267, 513, 2067, 1646, 538, 513, 3350, 1510, 3844, 6392, 610, 2915, 2742, 269, 4653, 267, 1851, 891, 796, 6716, 2213, 10580, 267, 5289, 1143, 568, 2147, 547, 519, 1007, 2085, 3350, 269, 1717, 267, 519, 657, 4451, 609, 922, 10014, 540, 8109, 4984, 267, 31826, 267, 9161, 9059, 543, 556, 4532, 28271, 568, 606, 1383, 540, 513, 6251, 24888, 540, 519, 476, 736, 628, 2540, 1007, 2085, 3350, 269, 4653, 781, 5348, 4038, 545, 5289, 1235, 616, 3833, 26945, 538, 741, 4978, 3823, 2152, 971, 607, 556, 4532, 28271, 610, 519, 6228, 540, 2696, 269, 2368, 3617, 1007, 2085, 543, 29724, 1790, 12298, 4978, 267, 1247, 1866, 1289, 2933, 834, 22146, 5289, 1235, 2580, 11173, 609, 519, 2245, 540, 15891, 13124, 6220, 5289, 626, 2833, 883, 741, 4168, 5132 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9309, 618, 1604, 1631, 5526, 7123, 2223, 2687, 547, 808, 1180, 14865, 28822, 2089, 267, 21629, 540, 8534, 320, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 12524, 6925, 1315, 2876, 31752, 1262, 630, 1262, 2304, 30061, 11202, 1108, 1262, 1040, 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, 938, 3460, 998, 14418, 4325, 1529, 894, 11470, 256, 1411, 1522, 4898, 1018, 1346, 1079, 1919, 1256, 1611, 1927, 269, 2913, 781, 2736, 621, 1524, 1384, 265, 2878, 289, 3291, 11297, 4995, 589, 4984, 543, 6138, 602, 3323, 936, 476, 273, 267, 4335, 1296, 3516, 538, 3127, 269, 4706, 1292, 10752, 1445, 593, 8236, 6418, 4708, 267, 8296, 2509, 1866, 267, 543, 7326, 827, 1272, 781, 3020, 2470, 563, 265, 2878, 11854, 1529, 894, 11470, 4995, 589, 1826, 540, 9423, 1141, 4589, 4952, 7399, 3564, 938, 4948, 2833, 269, 1358, 2263, 2055, 899, 834, 1432, 952, 8119, 610, 834, 5331, 950, 29389, 2368, 2442, 23019, 5708, 11964, 616, 2257, 5708, 267, 14810, 267, 16897, 267, 543, 4244, 1686, 780, 3086, 1577, 781, 3575, 873, 909, 256, 2878, 289, 3291, 7290, 4325, 1529, 894, 11470, 1262, 10905, 14418, 4798, 609, 19511, 10600, 269, 1452, 2984, 948, 721, 1589, 7184, 827, 1272, 543, 922, 13655, 1247, 11981, 1187, 9035, 2439, 2162, 19732, 1465, 13188, 630, 6930, 485, 356, 6930, 485, 373, 13225, 27175, 2020, 5970, 596, 2479, 4862, 540, 513, 2197, 7893, 1967, 1210, 1945, 1572, 513, 834, 295, 1952, 1465, 12039, 22172, 2334, 781, 1318, 256, 13225, 27175, 267, 513, 1507, 10806, 31314, 1164, 538, 519, 22615, 28569, 1063, 3624, 543, 3127, 267, 1281, 1175, 602, 269, 5502, 540, 1739, 2757, 2804, 3853, 899, 3395, 5763, 610, 2810, 2504, 267, 789, 2832, 547, 5818, 1004, 781, 2949, 8171, 543, 9547, 609, 1272, 269, 5994, 707, 3610, 6027, 707, 3356, 1759, 593, 875, 6126, 543, 24009, 596, 5433, 693, 1153, 3079, 540, 1175, 1449, 8464, 256, 14348, 333, 1405, 602, 581, 3579, 2496, 289, 3291, 7290, 3741, 1404, 513, 1713, 1909, 1934, 269, 3509, 13225, 27175, 3150, 3494, 602, 9758, 8788, 2501, 689, 4543, 1142, 824, 267, 1373, 13533, 267, 543, 5275, 6418, 10103, 1765, 2254, 8806, 7213, 6819, 1570, 22590, 269, 3767, 267, 19424, 513, 1158, 1141, 3025, 30128, 827, 1818, 835, 1776, 18668, 256, 1215, 5863, 1131, 602, 581, 2496, 2162, 8211, 16117, 1299, 8212, 630, 6930, 496, 511, 634, 528, 1944, 15332, 18712, 2020, 4131, 781, 4685, 883, 930, 2462, 3206, 1631, 256, 5620, 596, 2479, 11432, 1229, 2436, 972, 781, 811, 547, 4641, 982, 10742, 519, 3750, 286, 2107, 6148, 9289, 952, 3744, 2141, 2099, 519, 2898, 5168, 827, 938, 7122, 286, 4270, 267, 930, 15806, 798, 2243, 891, 10054, 269, 2290, 971, 14544, 568, 6273, 676, 3504, 14418, 2219, 780, 3891, 23083, 606, 10578, 1523, 1634, 607, 1412, 29613, 16117, 9538, 4340, 547, 1864, 267, 938, 8226, 5546, 1018, 649, 1289, 1412, 516, 1275, 10086, 2495, 602, 3388, 649, 1995, 1522, 1175, 581, 2790, 21437, 2864, 982, 4396, 3615, 269, 15434, 5414, 267, 26001, 26834, 1924, 1985, 942, 596, 1413, 693, 513, 3529, 3544, 707, 4928, 6885, 267, 2119, 31935, 602, 5310, 782, 596, 1294, 3884, 1405, 5963, 856, 972, 855, 6818, 3330, 707, 1378, 4555, 2439, 2162, 5384, 1280, 23874, 2439, 9961, 713, 1576, 267, 649, 3513, 7832, 593, 1082, 811, 4241, 15322, 3695, 1585, 3344, 540, 14418, 4325, 1529, 894, 11470, 269, 1284, 786, 2743, 12703, 12325, 945, 18220, 8296, 543, 1582, 16531, 282, 3605, 22539, 26441, 4904, 609, 9059, 543, 9814, 282, 543, 5490, 2620, 883, 1950, 10952, 2035, 20386, 909, 538, 9159, 8941, 269, 3657, 596, 4712, 286, 16258, 523, 707, 10160, 10964, 1206, 267, 15210, 3988, 267, 1317, 606, 9058, 7045, 19179, 1080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12507, 628, 569, 19964, 281, 5412, 476, 1708, 271, 454, 1708, 271, 281, 901, 2022, 8942, 547, 3343, 513, 14207, 1369, 10340, 269, 594, 1205, 602, 713, 666, 2760, 4755, 2507, 763, 2724, 1631, 9102, 909, 585, 667, 4353, 8016, 268, 11011, 9297, 1058, 2731, 581, 513, 21832, 7963, 6954, 1857, 9304, 9783, 896, 15444, 2207, 294, 27301, 312, 3800, 269, 594, 4988, 713, 2666, 538, 1250, 24295, 17073, 3126, 269, 898, 1131, 581, 519, 4098, 540, 606, 3801, 547, 2232, 519, 3520, 1026, 569, 26688, 20924, 1369, 16851, 1510, 26871, 1154, 547, 14100, 543, 1010, 6436, 1700, 1492, 1152, 28627, 540, 16472, 4847, 676, 519, 23731, 1105, 338, 1700, 534, 28627, 540, 3408, 602, 2760, 2306, 4376, 1732, 563, 1607, 1032, 1185, 803, 4466, 930, 9708, 593, 14418, 9297, 799, 594, 729, 4278, 2683, 547, 2097, 2066, 256, 2561, 30068, 267, 538, 930, 540, 741, 2477, 267, 9297, 568, 6566, 2213, 593, 513, 8788, 4994, 1700, 6518, 568, 513, 2481, 333, 5386, 2856, 256, 594, 3580, 3095, 2630, 538, 519, 14418, 3296, 563, 4002, 513, 1114, 4063, 281, 519, 14418, 634, 18319, 7442, 2684, 12118, 568, 11021, 8211, 16117, 1131, 1611, 602, 519, 2168, 9443, 616, 3765, 10517, 6974, 532, 6323, 538, 930, 7096, 2081, 269, 1261, 4667, 547, 1294, 713, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 3291, 7290, 4325, 1529, 894, 11470, 257, 607, 851, 540, 834, 11227, 1315, 16241, 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, 4197, 543, 12056, 609, 7489, 1977, 543, 7414, 29474, 630, 288, 4338, 296, 264, 18877, 692, 296, 269, 4985, 692, 763, 2136, 2276, 814, 1279, 1044, 513, 4182, 540, 11082, 267, 543, 922, 4222, 6013, 538, 922, 4763, 269, 2290, 971, 3309, 1895, 568, 519, 7489, 1977, 543, 7414, 29474, 630, 288, 4338, 296, 264, 2146, 267, 799, 2882, 2043, 945, 10250, 741, 5072, 547, 811, 982, 476, 2004, 2477, 17364, 5101, 5607, 267, 14913, 5607, 267, 3162, 5607, 267, 543, 519, 7414, 11866, 269, 6736, 1373, 519, 16595, 21212, 7292, 1895, 538, 519, 2197, 267, 589, 4338, 3674, 3136, 547, 3068, 2189, 2591, 543, 7130, 269, 901, 1576, 1770, 786, 5490, 883, 519, 2833, 540, 589, 4338, 296, 2950, 267, 3226, 1346, 2713, 538, 4683, 7740, 899, 28631, 267, 2910, 269, 1284, 786, 2263, 519, 3140, 2796, 267, 4207, 2152, 267, 543, 2081, 547, 4497, 609, 543, 10575, 3424, 891, 2950, 998, 1585, 1797, 267, 1519, 5885, 2199, 3906, 780, 2862, 269, 8466, 12745, 281, 7216, 26790, 543, 1401, 2424, 776, 24727, 692, 2414, 1174, 519, 1459, 3510, 540, 589, 4338, 296, 2950, 267, 621, 781, 1898, 1101, 547, 4983, 741, 1686, 538, 519, 2475, 269, 22073, 538, 519, 4571, 268, 866, 628, 2540, 267, 4457, 31356, 941, 25945, 547, 1628, 16456, 338, 543, 960, 538, 15183, 269, 3683, 942, 267, 824, 2516, 4553, 9290, 1765, 30153, 267, 27208, 267, 11114, 267, 4095, 267, 19176, 267, 670, 332, 784, 267, 5487, 582, 1014, 267, 18095, 617, 1014, 267, 21487, 267, 10854, 14435, 6062, 267, 9031, 328, 267, 16444, 700, 1678, 534, 267, 13605, 2297, 324, 267, 13225, 27175, 3150, 267, 674, 6359, 2103, 267, 26280, 753, 267, 6341, 334, 753, 267, 2871, 16120, 2103, 267, 16422, 528, 4592, 267, 543, 7111, 11316, 2103, 269, 1717, 267, 1813, 547, 10168, 267, 30542, 22785, 267, 543, 2804, 12194, 267, 25641, 4507, 13389, 589, 4338, 3674, 7153, 269, 769, 476, 6642, 273, 267, 6837, 5293, 519, 4457, 1401, 2424, 2920, 267, 7080, 2056, 4457, 11776, 585, 4557, 1296, 282, 713, 729, 2663, 6905, 22543, 17802, 2394, 922, 4735, 531, 538, 476, 3707, 274, 269, 6684, 267, 519, 26790, 2920, 540, 476, 4572, 275, 13684, 9889, 553, 12145, 5993, 7127, 540, 4914, 23899, 7606, 1759, 593, 3084, 8129, 267, 3927, 536, 18732, 1034, 1306, 2103, 689, 6294, 7992, 547, 519, 2475, 269, 1452, 17181, 776, 4507, 2813, 9434, 5222, 593, 519, 14227, 4567, 543, 2631, 540, 10362, 1851, 589, 4338, 296, 2950, 780, 7656, 269, 7844, 19724, 640, 19088, 543, 4706, 31664, 692, 1103, 2022, 8862, 310, 2862, 3013, 267, 513, 1007, 8305, 9189, 3459, 547, 10836, 1472, 5545, 4892, 1634, 607, 519, 834, 16347, 12102, 257, 7242, 269, 898, 29102, 602, 7489, 4892, 14133, 27268, 543, 17215, 1813, 547, 2178, 1920, 3889, 543, 2686, 2418, 10771, 2182, 960, 543, 3872, 26556, 269, 2755, 9583, 2318, 267, 713, 8305, 9189, 13968, 1713, 13103, 1369, 589, 4338, 296, 1016, 25364, 267, 5337, 2803, 7293, 7496, 5185, 676, 1082, 589, 4338, 3674, 267, 543, 10173, 4550, 5174, 331, 871, 1145, 676, 31552, 602, 4563, 4892, 1995, 6710, 543, 4081, 896, 704, 18504, 1317, 540, 7915, 20924, 2864, 982, 11528, 8635, 269, 5047, 267, 621, 5932, 2604, 585, 1367, 1967, 693, 519, 13258, 540, 7104, 2962, 1996, 26568, 1949, 269, 2598, 335, 2454, 519, 2203, 12102, 7242, 3340, 14344, 954, 16766, 3604, 267, 9301, 3838, 9620, 2066, 12790, 2950, 267, 543, 14957, 585, 12581, 2200, 543, 3255, 780, 4353, 269, 12634, 12983, 543, 12694, 692, 9213, 267, 589, 4338, 296, 2950, 7237, 10770, 31716, 5103, 3356, 1500, 2094, 2038, 17181, 776, 4507, 269, 1280, 1383, 267, 1247, 972, 814, 1044, 513, 4473, 538, 13842, 10963, 1996, 782, 14797, 1282, 519, 5046, 268, 866, 6855, 267, 589, 4338, 3674, 4810, 513, 31417, 476, 26552, 260, 10006, 1063, 4728, 476, 1708, 271, 543, 5988, 476, 1708, 272, 3379, 547, 519, 1482, 1974, 2063, 1032, 269, 3958, 267, 589, 4338, 296, 2021, 7118, 1152, 476, 10602, 21347, 585, 1169, 13362, 12236, 676, 3043, 2367, 267, 10452, 4008, 543, 7292, 13230, 10616, 269, 5015, 267, 1893, 1569, 3788, 513, 4161, 585, 3908, 2296, 21295, 589, 4338, 296, 20650, 950, 5275, 3782, 2533, 269, 18601, 891, 2413, 6377, 4145, 19329, 24905, 1782, 11528, 7496, 267, 5807, 24343, 338, 1222, 267, 543, 5009, 8537, 6386, 780, 309, 269, 1325, 569, 338, 1222, 543, 31197, 281, 1215, 27469, 2052, 5269, 513, 16338, 692, 11045, 15659, 589, 4338, 296, 2950, 3322, 811, 982, 6071, 17604, 282, 621, 7569, 3742, 7589, 543, 7029, 547, 5466, 10296, 2115, 269, 15706, 666, 3565, 676, 18997, 2933, 827, 589, 4338, 296, 12583, 543, 4529, 267, 7586, 4328, 589, 4338, 296, 9739, 267, 4101, 5739, 11475, 267, 2679, 3347, 609, 2199, 589, 4338, 296, 3906, 267, 11504, 4143, 2621, 267, 543, 2502, 538, 6209, 7391, 827, 5198, 543, 9698, 269, 11038, 7418, 849, 1404, 513, 4105, 1909, 538, 24569, 29065, 7341, 3366, 676, 543, 585, 589, 4338, 296, 2950, 269, 1635, 8362, 10283, 538, 891, 18129, 267, 16167, 948, 6536, 513, 2486, 1141, 3025, 29263, 7488, 540, 4282, 610, 3961, 780, 9654, 269, 8865, 5530, 281, 634, 7489, 1977, 7414, 29474, 19541, 540, 12548, 24273, 692, 3080, 3919, 2324, 2509, 3152, 10014, 543, 6041, 585, 589, 4338, 296, 7822, 611, 753, 568, 519, 7489, 1977, 7414, 29474, 19541, 630, 288, 4338, 296, 264, 540, 12548, 24273, 269, 12878, 2082, 538, 476, 1001, 278, 267, 519, 11036, 6663, 547, 20834, 1125, 589, 4338, 296, 17037, 543, 12167, 585, 3609, 2242, 18363, 519, 2146, 269, 3414, 21769, 609, 8284, 25505, 524, 14072, 4926, 267, 7649, 3906, 267, 543, 11221, 8387, 267, 519, 589, 4338, 296, 19541, 11394, 547, 21592, 3309, 5380, 1369, 519, 5428, 543, 3564, 269, 4841, 5461, 538, 1565, 811, 827, 18523, 6278, 543, 14223, 3646, 1808, 547, 589, 4338, 296, 2950, 949, 1265, 6667, 538, 4974, 2147, 6237, 3906, 780, 23997, 269, 10390, 692, 8139, 519, 10848, 4478, 589, 4338, 296, 2833, 3340, 2565, 6514, 540, 3140, 8658, 267, 4207 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 546, 303, 815, 1612, 2608, 11002, 334, 310, 910, 630, 327, 290, 2608, 11002, 334, 1341, 554, 288, 2608, 11002, 334, 310, 476, 12467, 1038, 20735, 815, 546, 303, 2608, 575, 2608, 476, 271, 269, 4905, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 604, 630, 476, 13923, 274, 2652, 929, 321, 2187, 825, 670, 815, 476, 1839, 454, 825, 11002, 334, 815, 476, 272, 324, 274, 454, 825, 681, 9816, 815, 476, 1724, 269, 277, 324, 274, 454, 825, 2855, 815, 1496, 295, 267, 476, 2767, 267, 476, 1789, 267, 476, 1015, 267, 476, 1321, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 554, 815, 1612, 2608, 630, 305, 9816, 8573, 14833, 8358, 24838, 454, 1038, 20735, 815, 554, 1315, 1911, 563, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 604, 630, 476, 13923, 275, 2652, 929, 321, 2187, 825, 670, 815, 476, 1839, 454, 825, 11002, 334, 815, 476, 272, 324, 274, 454, 825, 681, 9816, 815, 476, 279, 736, 454, 825, 2855, 815, 1496, 295, 267, 476, 2767, 267, 476, 1789, 267, 476, 1015, 267, 476, 1321, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 554, 815, 1612, 2608, 630, 305, 9816, 8573, 14833, 8358, 24838, 454, 1038, 20735, 815, 554, 1315, 1911, 563, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 604, 630, 476, 14631, 274, 2652, 929, 321, 2187, 825, 700, 815, 476, 1015, 454, 825, 681, 815, 476, 276, 563, 825, 554, 815, 476, 279, 563, 825, 11002, 334, 815, 476, 272, 324, 274, 454, 825, 2855, 815, 1496, 299, 267, 476, 279, 267, 476, 280, 267, 476, 1556, 267, 476, 1321, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 590, 815, 1612, 2608, 681, 454, 1038, 533, 815, 11002, 334, 2608, 554, 2608, 476, 1015, 454, 1038, 674, 815, 533, 2608, 590, 454, 1038, 20735, 815, 674, 2608, 476, 272, 324, 268, 277, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 604, 630, 476, 14631, 278, 2652, 929, 321, 2187, 825, 530, 815, 476, 1321, 454, 825, 554, 815, 476, 275, 269, 271, 454, 825, 642, 815, 476, 273, 269, 276, 454, 825, 654, 815, 476, 280, 563, 825, 670, 815, 476, 279, 269, 271, 454, 825, 2855, 815, 1496, 341, 267, 476, 273, 269, 277, 267, 476, 273, 269, 275, 267, 476, 273, 269, 271, 267, 476, 272, 269, 271, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 737, 815, 630, 310, 2608, 670, 19422, 342, 2608, 554, 994, 1038, 966, 815, 1612, 31574, 454, 1038, 20735, 815, 966, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 604, 630, 476, 14631, 279, 2652, 929, 321, 2187, 825, 530, 815, 476, 1428, 454, 825, 554, 815, 476, 279, 563, 825, 642, 815, 476, 273, 269, 276, 454, 825, 11002, 334, 815, 476, 272, 324, 274, 454, 825, 2855, 815, 1496, 341, 267, 476, 273, 269, 277, 267, 476, 273, 269, 275, 267, 476, 273, 269, 271, 267, 476, 272, 269, 271, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 2557, 815, 530, 265, 327, 265, 1706, 265, 24838, 265, 272, 324, 268, 276, 454, 1038, 20735, 815, 2557, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 258, 476, 1626, 476, 10310, 2971, 7462, 692, 604, 630, 476, 14341, 274, 2652, 929, 321, 2187, 825, 13672, 815, 476, 1704, 324, 268, 277, 454, 825, 700, 815, 476, 1789, 454, 825, 654, 815, 476, 3393, 454, 825, 670, 815, 476, 1015, 454, 825, 570, 271, 815, 476, 271, 454, 825, 570, 272, 815, 476, 1911, 454, 825, 2855, 815, 1496, 307, 272, 267, 476, 3445, 267, 476, 8099, 267, 476, 3199, 267, 476, 6344, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 737, 815, 476, 274, 2608, 13672, 454, 1038, 966, 815, 700, 2608, 654, 2608, 670, 454, 1038, 546, 307, 815, 1612, 910, 570, 271, 454, 1038, 546, 309, 815, 966, 2608, 737, 2608, 546, 307, 454, 1038, 20735, 815, 546, 309, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 604, 630, 476, 14341, 277, 2652, 929, 321, 2187, 825, 13672, 815, 476, 2190, 324, 268, 277, 454, 825, 570, 271, 815, 476, 271, 563, 825, 570, 272, 815, 476, 4968, 563, 825, 11002, 334, 815, 476, 273, 269, 278, 324, 274, 454, 825, 2855, 815, 1496, 307, 272, 267, 570, 272, 1341, 476, 1911, 267, 570, 272, 910, 476, 1911, 267, 570, 272, 1341, 476, 1220, 267, 570, 272, 910, 476, 1220, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 737, 815, 476, 274, 2608, 13672, 454, 1038, 681, 815, 11002, 334, 2608, 630, 272, 910, 737, 2608, 630, 1706, 910, 570, 271, 4917, 1038, 20735, 815, 681, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 258, 476, 1704, 476, 10310, 2971, 7462, 692, 604, 630, 476, 14378, 275, 2652, 929, 321, 2187, 825, 966, 815, 476, 736, 563, 825, 562, 815, 476, 273, 563, 825, 570, 815, 476, 1789, 563, 825, 2855, 815, 1496, 307, 267, 570, 266, 1015, 267, 570, 910, 476, 1015, 267, 570, 266, 476, 736, 267, 570, 1341, 1789, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 533, 815, 562, 2608, 681, 2608, 630, 1706, 1341, 570, 290, 19422, 309, 265, 272, 324, 268, 274, 994, 1038, 20735, 815, 533, 270, 1911, 271, 563, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 604, 630, 476, 14378, 276, 2652, 929, 321, 2187, 825, 966, 815, 476, 1428, 563, 825, 562, 815, 476, 274, 563, 825, 623, 815, 476, 7742, 454, 825, 2855, 815, 1496, 303, 267, 623, 1341, 476, 736, 267, 623, 2608, 476, 273, 1421, 623, 270, 273, 267, 623, 1341, 476, 1911, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 570, 815, 630, 272, 324, 274, 2608, 1612, 264, 2608, 630, 309, 2608, 476, 272, 324, 268, 274, 264, 1315, 263, 562, 2608, 681, 994, 1038, 20735, 815, 570, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 258, 476, 1240, 476, 10310, 2971, 7462, 692, 604, 630, 476, 8146, 272, 2652, 929, 321, 2187, 825, 562, 815, 476, 272, 269, 278, 454, 825, 546, 307, 815, 476, 2537, 563, 825, 2855, 815, 1496, 323, 307, 267, 546, 307, 266, 1015, 267, 546, 307, 910, 476, 1015, 267, 546, 307, 1341, 476, 736, 267, 546, 307, 1341, 476, 1789, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 595, 335, 815, 630, 274, 270, 273, 476, 1341, 476, 272, 264, 2608, 681, 454, 1038, 20735, 815, 562, 2608, 595, 335, 2608, 1612, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 604, 630, 476, 8146, 273, 2652, 929, 321, 2187, 825, 562, 815, 476, 1321, 454, 825, 1627, 815, 476, 10384, 454, 825, 2855, 815, 1496, 304, 267, 1627, 270, 273, 267, 1627, 2608, 476, 273, 267, 1627, 1341, 476, 1911, 267, 1627, 1341, 476, 1220, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 595, 341, 815, 562, 2608, 630, 274, 270, 273, 264, 2608, 681, 454, 1038, 20735, 815, 1612, 1315, 595, 341, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 604, 630, 476, 7277, 271, 2652, 929, 321, 2187, 825, 570, 322, 815, 476, 4968, 454, 825, 774, 815, 476, 4335, 454, 825, 2855, 815, 1496, 1320, 267, 476, 7785, 267, 476, 20981, 267, 476, 10384, 267, 476, 6110, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 8356, 815, 630, 1706, 910, 570, 322, 8358, 1706, 454, 1038, 20735, 815, 8356, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 604, 630, 476, 7277, 272, 2652, 929, 321, 2187, 825, 8356, 815, 476, 3374, 563, 825, 774, 815, 476, 10384, 454, 825, 2855, 815, 1496, 1320, 267, 774, 476, 1341, 476, 2004, 267, 774, 2608, 476, 272, 269, 272, 267, 774, 910, 476, 1911, 267, 774, 1341, 476, 1220, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 570, 322, 476, 815, 1612, 2608, 630, 476, 272, 910, 8356, 2608, 476, 271, 269, 4905, 994, 1038, 20735, 815, 570, 322, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 994, 13872, 604, 630, 476, 6977, 275, 2652, 929, 321, 2187, 825, 570, 322, 815, 910, 736, 563, 825, 774, 815, 476, 736, 454, 825, 623, 815, 476, 1839, 454, 825, 2855, 815, 1496, 303, 267, 476, 3374, 267, 476, 1789, 267, 476, 3393, 267, 476, 1015, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 546, 306, 815, 476, 272, 324, 274, 16732, 1706, 14370, 307, 322, 1341, 570, 290, 264, 910, 1612, 14370, 1320, 1341, 570, 290, 4917, 1038, 20735, 815, 546, 306, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 2020, 604, 630, 476, 6977, 276, 2652, 929, 321, 2187, 825, 570, 322, 815, 910, 736, 563, 825, 774, 815, 476, 736, 454, 825, 623, 815, 476, 1839, 454, 825, 2855, 815, 1496, 303, 267, 476, 3374, 267, 476, 1789, 267, 476, 3393, 267, 476, 1015, 2639, 825, 585, 1612, 538, 2855, 912, 1038, 1948, 3086, 9819, 585, 20735, 454, 1038, 546, 306, 815, 476, 272, 324, 274, 16732, 1706, 14370, 307, 322, 1341, 570, 290, 4917, 1038, 20735, 815, 546, 306, 454, 1038, 1820, 9497, 309, 24333, 1612, 267, 834, 288, 24333, 20735, 994, 13872, 2745, 9497, 2889, 12378, 12193, 24333, 929, 321, 2020, 692, 0, 18851, 332, 20687, 7272, 32242, 18258, 281, 634, 16163, 532, 2599, 602, 14509, 6151, 6119, 270, 10623, 2644, 543, 7024, 1477, 335, 1513, 539, 6835, 27969, 5897, 1029, 10461, 1029, 815, 834, 309, 514, 1417, 6182, 2946, 2998, 790, 29177, 1029, 16942, 1029, 815, 834, 9109, 1417, 3052, 2958, 334, 790, 287, 326, 21166, 2593, 257, 5897, 5814, 705, 322, 24653, 5035, 24606, 303, 32242, 6769, 825, 5727, 288, 16163, 532, 2599, 602, 14509, 6151, 6119, 270, 10623, 2644, 543, 7024, 1477, 825, 16163, 539, 6835, 269, 5897, 825, 901, 568, 606, 7493, 1362, 602, 1058, 581, 20358, 539, 585, 1808, 1477, 825, 15377, 543, 3758, 12043, 27969, 1477, 825, 6449, 5471, 659, 20199, 1029, 815, 705, 322, 269, 5723, 13967, 9508, 476, 1948, 901, 538, 606, 7493, 1362, 5897, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1948, 11619, 1137, 568, 513, 13507, 2861, 9598, 540, 8638, 540, 10369, 300, 20687, 1477, 1038, 1582, 14714, 1442, 8548, 612, 1137, 815, 15079, 5897, 825, 1219, 1612, 572, 18316, 4311, 267, 1102, 850, 22561, 8029, 1038, 5727, 303, 1513, 525, 513, 3758, 5627, 2344, 6835, 269, 5897, 1038, 29807, 525, 513, 3758, 543, 5352, 7222, 2344, 6835, 269, 5897, 1038, 2433, 12407, 1102, 850, 281, 519, 3758, 547, 1612, 572, 1477, 1038, 2433, 6943, 1102, 850, 281, 3758, 1477, 1038, 5727, 1477, 1038, 1780, 5897, 5035, 10369, 300, 20687, 6769, 825, 5727, 288, 6835, 602, 814, 1044, 16163, 539, 543, 4712, 547, 581, 9268, 676, 1477, 825, 513, 2344, 1686, 269, 5897, 825, 901, 568, 606, 7493, 1362, 602, 1058, 581, 20358, 539, 585, 1808, 1477, 825, 15377, 27969, 1477, 825, 6449, 5471, 659, 20199, 1029, 815, 705, 322, 269, 5723, 13967, 9508, 476, 1948, 901, 538, 606, 7493, 1362, 1477, 825, 1780, 5897, 5035, 24606, 303, 1513, 532, 2750, 4003, 263, 2750, 4003, 8029, 825, 1780, 0, 5035, 15328, 17443, 24998, 2187, 825, 8173, 825, 589, 1362, 602, 23182, 9388, 609, 14421, 1670, 6724, 563, 8931, 825, 4107, 14421, 1670, 6724, 616, 8806, 3403, 543, 616, 1500, 2139, 607, 454, 825, 10305, 538, 519, 1362, 269, 1717, 267, 811, 7294, 1894, 971, 607, 3097, 825, 519, 954, 21975 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2676, 331, 1389, 267, 7509, 538, 519, 3037, 267, 543, 824, 2959, 540, 1216, 269, 0, 5475, 513, 654, 2177, 29308, 293, 8085, 8285, 2736, 267, 634, 667, 5922, 543, 594, 18188, 1394, 909, 547, 519, 1153, 4055, 2063, 11728, 256, 1284, 3323, 513, 1906, 1007, 1919, 1107, 835, 540, 799, 568, 519, 2034, 1433, 538, 519, 25672, 1108, 3126, 799, 6212, 593, 4262, 7068, 269, 634, 1101, 3184, 11828, 24952, 267, 29500, 267, 519, 18626, 15808, 543, 705, 903, 15680, 10750, 543, 849, 20239, 25762, 543, 18186, 25762, 269, 594, 729, 865, 9599, 547, 4309, 713, 12905, 8666, 689, 8331, 540, 513, 28506, 2023, 16036, 1107, 621, 779, 3833, 17681, 256, 634, 8331, 6609, 568, 2630, 519, 3239, 563, 1805, 597, 2590, 5455, 513, 25204, 5510, 4793, 6782, 807, 454, 19423, 519, 5032, 540, 18335, 267, 1079, 2178, 5836, 14768, 5063, 13489, 1042, 909, 513, 10477, 1786, 342, 540, 13735, 5567, 543, 18784, 2030, 1272, 1175, 538, 942, 585, 519, 8828, 25955, 779, 4832, 1151, 560, 823, 269, 634, 3525, 4733, 22375, 24919, 15190, 2928, 14508, 10309, 593, 8331, 779, 13985, 320, 9682, 9676, 713, 3239, 540, 513, 7372, 20239, 25762, 16036, 1055, 540, 519, 9533, 5032, 540, 4793, 6782, 807, 593, 5463, 269, 476, 2641, 267, 476, 1001, 271, 269, 12207, 1031, 5722, 5094, 19706, 13164, 547, 5031, 519, 3604, 538, 519, 28506, 2023, 2950, 2066, 713, 2220, 987, 540, 5836, 563, 15862, 15894, 281, 8331, 454, 3080, 2219, 593, 968, 22498, 1773, 23975, 25204, 7536, 12441, 596, 917, 602, 26151, 17196, 1402, 25468, 568, 519, 1152, 9329, 602, 666, 581, 9571, 689, 2230, 286, 0, 17951, 3999, 839, 514, 31909, 281, 476, 9610, 278, 268, 5325, 268, 273, 568, 513, 3114, 7623, 602, 568, 4922, 1031, 538, 519, 14453, 2872, 269, 898, 814, 513, 7636, 4542, 540, 595, 6078, 295, 8287, 301, 1556, 302, 1321, 543, 513, 4542, 2597, 540, 476, 6434, 280, 269, 6860, 575, 8276, 565, 269, 634, 31909, 1297, 585, 4911, 3999, 839, 514, 568, 476, 9610, 278, 268, 5325, 268, 273, 269, 901, 1587, 568, 1898, 538, 6646, 2966, 547, 1521, 1585, 2175, 267, 1519, 1164, 1973, 2604, 543, 824, 9025, 3676, 269, 898, 1568, 676, 1526, 878, 1154, 1973, 8043, 267, 799, 2337, 547, 2569, 1973, 2604, 563, 21292, 543, 14271, 11618, 912, 12749, 4557, 17161, 2404, 609, 4911, 3999, 839, 514, 31909, 281, 476, 9610, 278, 268, 5325, 268, 273, 1331, 4911, 3999, 839, 514, 8410, 31844, 11747, 630, 19781, 264, 20127, 267, 1164, 1973, 2604, 267, 9025, 3676, 267, 13119, 267, 15646, 514, 268, 836, 3999, 839, 514, 1062, 267, 2587, 3999, 839, 514, 4083, 267, 14401, 267, 3119, 5409, 12245, 8803, 517, 1143, 267, 19473, 29912, 267, 543, 2295, 5821, 269, 4033, 19655, 585, 4911, 3999, 839, 514, 1331, 2587, 3999, 13908, 267, 2587, 3999, 18424, 267, 5409, 29181, 514, 267, 610, 1019, 701, 32644, 993, 1938, 563, 10890, 11588, 540, 4911, 3999, 839, 514, 912, 17951, 3999, 839, 514, 568, 513, 14984, 3075, 1031, 585, 519, 2126, 540, 13119, 267, 2295, 5821, 267, 543, 824, 9025, 3676, 269, 898, 1568, 676, 1526, 878, 1154, 1973, 8043, 543, 4227, 1973, 2095, 267, 799, 24506, 1973, 2604, 269, 4911, 3999, 839, 514, 568, 513, 2565, 5057, 538, 4915, 1634, 607, 31984, 20127, 267, 2966, 547, 3625, 519, 2534, 540, 519, 31984, 11747, 269, 1452, 6527, 616, 1898, 538, 8156, 13119, 607, 789, 948, 547, 1110, 3634, 519, 15646, 514, 268, 836, 3999, 839, 514, 268, 12245, 16238, 1062, 267, 799, 568, 3743, 585, 15725, 1973, 2604, 269, 4911, 3999, 839, 514, 814, 849, 1044, 1031, 547, 1521, 3119, 5409, 12245, 8803, 517, 1143, 267, 513, 2783, 3361, 676, 7050, 620, 323, 16238, 5728, 687, 689, 519, 29427, 14189, 269, 3958, 267, 4911, 3999, 839, 514, 949, 581, 1031, 547, 2061, 519, 12614, 540, 19473, 29912, 267, 513, 2783, 1141, 15799, 13976, 909, 538, 519, 16209, 543, 3123, 32560, 267, 7551, 2810, 519, 1981, 540, 2295, 2068, 563, 22025, 1113, 12186, 540, 4911, 3999, 839, 514, 912, 4407, 4911, 3999, 839, 514, 568, 1031, 547, 1521, 13119, 543, 9025, 3676, 267, 621, 814, 519, 1761, 540, 4929, 2427, 2360, 269, 5871, 2427, 2360, 2404, 609, 713, 1587, 1331, 21994, 267, 15353, 267, 5492, 3290, 267, 610, 13165, 269, 3958, 267, 2094, 713, 6646, 1568, 676, 4227, 1973, 2095, 543, 1973, 2604, 267, 930, 1004, 949, 1995, 9647, 739, 1738, 5492, 3290, 269, 901, 2783, 4386, 950, 972, 568, 513, 6727, 6749, 538, 1973, 2604, 950, 7555, 267, 799, 666, 1291, 547, 535, 31021, 610, 8813, 269, 2859, 4049, 2427, 2360, 1331, 8459, 5821, 267, 23386, 20817, 267, 610, 2587, 1470, 539, 9047, 267, 513, 2783, 602, 3123, 11926, 540, 519, 3068, 610, 11563, 269, 769, 4686, 2665, 267, 4911, 3999, 839, 514, 949, 2014, 13027, 6547, 602, 2039, 689, 7646, 30919, 547, 1272, 18446, 606, 20942, 9471, 563, 17951, 3999, 839, 514, 568, 513, 1587, 602, 6411, 593, 519, 15646, 514, 268, 836, 3999, 839, 514, 1062, 267, 513, 4105, 26273, 540, 1973, 2604, 269, 1879, 519, 14401, 2631, 1970, 1973, 2604, 267, 789, 3132, 15646, 514, 267, 799, 5555, 17838, 2587, 3999, 839, 514, 4094, 547, 2587, 3999, 839, 514, 594, 269, 4911, 3999, 839, 514, 594, 568, 1287, 10736, 547, 4911, 3999, 839, 514, 4083, 267, 513, 14984, 21729, 27019, 560, 2774, 528, 267, 676, 519, 4911, 3999, 839, 514, 8410, 31844, 11747, 630, 19781, 1040, 4911, 3999, 839, 514, 4083, 3123, 519, 16209, 547, 4579, 267, 7551, 2810, 1973, 2604, 269, 4911, 3999, 839, 514, 1568, 676, 17527, 519, 2962, 540, 31984, 267, 799, 11081, 519, 2504, 540, 4911, 3999, 839, 514, 4083, 267, 543, 3976, 4227, 1973, 2604, 269, 0, 2791, 798, 707, 1655, 547, 1491, 1416, 540, 707, 2960, 267, 855, 972, 786, 2141, 581, 2053, 950, 1919, 979, 1659, 787, 267, 543, 596, 1265, 3054, 7231, 609, 606, 18473, 3390, 269, 4414, 1145, 1472, 519, 9224, 568, 513, 2960, 1966, 602, 4386, 1034, 1419, 538, 519, 5162, 950, 707, 2960, 568, 2907, 3819, 610, 669, 11474, 267, 855, 621, 666, 4755, 693, 824, 2053, 540, 1032, 607, 1134, 269, 769, 930, 2665, 267, 596, 666, 12235, 593, 513, 2370, 3787, 540, 3063, 10703, 29993, 267, 855, 621, 779, 2141, 1655, 547, 2697, 519, 5817, 2014, 540, 519, 1966, 543, 10994, 621, 2212, 6823, 563, 2252, 596, 5469, 519, 2960, 1472, 707, 9224, 4742, 2699, 267, 917, 602, 621, 568, 8345, 585, 513, 2601, 269, 634, 25017, 1472, 9224, 2960, 666, 1831, 28332, 585, 1082, 1114, 4128, 269, 2659, 2960, 23465, 547, 707, 2732, 267, 707, 1604, 267, 543, 707, 2960, 3249, 6296, 538, 2081, 596, 949, 711, 581, 2111, 547, 3589, 269, 6969, 1793, 1430, 532, 593, 1776, 4494, 540, 5748, 610, 10703, 29993, 267, 2307, 3054, 1946, 707, 2960, 568, 7432, 2699, 543, 1294, 952, 596, 666, 1265, 513, 1259, 547, 4308, 609, 519, 3390, 811, 2047, 563, 1103, 713, 2376, 267, 649, 3580, 948, 596, 2626, 519, 2243, 267, 968, 25585, 568, 1250, 9224, 2141, 2699, 9495, 7132, 649, 3580, 2285, 596, 938, 4274, 4388, 585, 4227, 543, 7303, 513, 2699, 9224, 563, 1432, 15486, 4414, 1145, 15907, 519, 715, 846, 888, 7312, 2960, 568, 519, 4102, 1418, 538, 519, 1560, 267, 543, 621, 568, 2966, 547, 2149, 596, 269, 1306, 707, 1560, 779, 1101, 1899, 540, 8878, 267, 2705, 267, 707, 2960, 3217, 513, 25588, 543, 3006, 621, 2982, 621, 269, 4414, 1145, 1472, 519, 9224, 568, 1419, 513, 1129, 602, 707, 2960, 568, 513, 2370, 8338, 585, 5957, 563, 16446, 1145, 1472, 519, 9224, 568, 811, 2693, 547, 1020, 538, 519, 5162, 950, 707, 2960, 568, 2907, 3819, 543, 6148, 513, 2370, 669, 11474, 269, 4033, 3123, 540, 25017, 1331, 519, 1739, 912, 268, 14472, 25445, 1107, 589, 5312, 2960, 2783, 602, 3123, 25017, 543, 1166, 5241, 267, 887, 338, 25445, 267, 19890, 267, 814, 1100, 10826, 269, 1703, 616, 1978, 5574, 543, 2472, 267, 2705, 267, 602, 666, 2569, 25017, 3361, 676, 887, 338, 25445, 563, 268, 3600, 928, 1107, 589, 3983, 18383, 2736, 719, 666, 1118, 519, 2960, 1472, 707, 9224, 2490, 2699, 543, 1831, 28332, 267, 2523, 952, 596, 1832, 16116, 693, 621, 269, 898, 779, 1655, 547, 4019, 606, 18383, 2126, 543, 4734, 621, 581, 563, 268, 3131, 1640, 531, 32536, 4345, 1107, 901, 568, 513, 2186, 540, 16420, 602, 3029, 1472, 519, 5023, 543, 9224, 267, 1419, 607, 513, 2427, 1198, 540, 22521, 32104, 1212, 4461, 563, 268, 16164, 2353, 25489, 1107, 1403, 596, 616, 13027, 547, 1919, 899, 5841, 6526, 27509, 610, 1978, 2960, 3249, 2472, 267, 25017, 1472, 519, 9224, 1223, 581, 513, 1129, 540, 606, 13027, 5114, 563, 268, 18323, 15448, 1107, 24613, 689, 4411, 8028, 547, 3905, 4365, 13964, 666, 2014, 707, 2960, 547, 23574, 269, 4414, 1145, 1472, 519, 9224, 666, 849, 581, 3361, 676, 2842, 14315, 563, 268, 16164, 7054, 761, 566, 1107, 6884, 519, 2960, 1472, 707, 9224, 786, 2490, 2699, 952, 596, 4076, 1044, 27012, 610, 31153, 621, 1107, 621, 666, 849, 4755, 950, 596, 723, 513, 4411, 543, 596, 9514, 707, 9224, 4749, 563, 4002, 1283, 540, 891, 3123, 267, 25017, 1472, 519, 9224, 949, 849, 581, 519, 1267, 540, 7745, 1698, 650, 2456, 269, 7167, 650, 2456, 616, 1360, 1507, 1973, 8043, 602, 666, 581, 4299, 676, 513, 1297, 540, 2188, 1519, 2837, 2242, 267, 10399, 267, 3141, 4598, 267, 543, 1256, 4568, 4616, 563, 4407, 25017, 1472, 519, 9224, 543, 570, 22271, 821, 1858, 666, 581, 3361, 676, 12119, 2242, 267, 887, 338, 25445, 1472, 9224, 543, 824, 11132, 17119, 885, 568, 513, 2564, 2960, 2783, 269, 901, 568, 513, 2960, 2783, 602, 3123, 1025, 5241, 610, 1166, 5241, 543, 7298, 1973, 8043, 538, 707, 3068, 269, 898, 779, 5227, 602, 596, 1294, 513, 17172, 6048, 547, 1521, 1022, 887, 338, 25445, 596, 949, 723, 563, 2252, 596, 2461, 1869, 711, 2386, 1018, 779, 4929, 519, 25017, 1472, 707, 9224, 267, 2911, 547, 707, 4387, 610, 17172, 6048, 865, 789, 666, 5265, 4983, 543, 13209, 621, 563, 26594, 9669, 585, 26805, 4414, 1145, 454, 763, 1655, 2126, 585, 25017, 1472, 519, 9224, 568, 519, 835, 602, 9607, 519, 5817, 2014, 269, 1403, 596, 2461, 7680, 25017, 543, 6553, 267, 855, 596, 10093, 1406, 2943, 4857, 519, 3169, 2014, 267, 596, 949, 1869, 723, 930, 2856, 1018, 779, 2469, 593, 269, 769, 713, 2013, 267, 972, 616, 513, 1906, 1114, 1919, 596, 666, 2119, 563, 2414, 2569, 25017, 543, 6553, 3533, 267, 2119, 835, 540, 891, 5574, 912, 268, 1280, 25017, 3361, 676, 2960, 16698, 630, 13388, 14315, 267, 3141, 14315, 267, 610, 3819, 1145, 1070, 4019, 513, 3834, 334, 718, 1120, 21329, 543, 1875, 10687, 539, 8328, 5848, 584, 6500, 563, 268, 1280, 25017, 3361, 676, 18383, 267, 887, 338, 25445, 267, 543, 824, 2960, 2175, 267, 2119, 513, 5848, 584, 6500, 2966, 547, 1521, 1346, 1808, 2175, 269, 5269, 2386, 621, 568, 3617, 585, 707, 2960, 1826, 267, 865, 596, 1810, 1406, 1118, 6927, 8338, 543, 5924, 14816, 519, 2960, 563, 2252, 7311, 513, 22521, 5848, 584, 6500, 3884, 1406, 2614, 547, 865, 6139, 707, 28332, 543, 8886, 730, 2960, 267, 596, 949, 991, 547, 1491, 1919, 513, 1900, 2417, 269, 13185, 547, 707, 4387, 610, 17172, 6048, 827, 707, 2152, 543, 1022, 3606, 2589, 596, 949, 723, 8068, 269, 21278, 707, 4387, 609, 607, 1454, 1344, 607, 2009, 568, 519, 1152, 1259, 585, 1200, 547, 1118, 606, 4977, 5868, 865, 1352, 666, 4363, 519, 3617, 1106, 540, 2126, 563, 2080, 616, 930, 3606, 1919, 596, 666, 2119, 547, 2569, 6553, 543, 25017, 912, 268, 2422, 513, 18519, 8595, 693, 3781, 547, 1832, 707, 2960, 689, 4742, 1932, 3819, 1247, 596, 3207, 454, 268, 15233, 513, 4411, 14771, 547, 865, 6139, 6553, 1472, 519, 9224, 454, 268, 667, 629, 593, 513, 2370, 8652, 322, 677, 529, 821, 547, 2569, 11926, 543, 25017, 454, 268, 2422, 606, 10896, 1769, 2126, 585, 25017, 3361, 676, 887, 338, 25445, 543, 27150, 454, 268, 22732, 547, 5848, 584, 1944, 8031, 952, 596, 616, 32626, 513, 4411, 267, 609, 513, 2196, 5500, 9224, 454, 268, 6875, 513, 3232, 32714, 547, 8396, 3983, 4551, 602, 1223, 581, 7133, 707, 2960, 454, 268, 8347, 10649, 610, 9066, 547, 8396, 5312, 2566, 454, 2252, 596, 2461, 711, 2386, 1018, 779, 4929, 519, 2960, 1472, 707, 9224, 547, 2490, 2699, 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 ]
[ 476, 275, 14263, 476, 272, 27353, 267, 476, 275, 14263, 476, 272, 27353, 267, 865, 476, 274, 27353, 269, 1548, 781, 713, 2469, 547, 581, 286, 476, 272, 27353, 568, 1175, 2469, 547, 581, 476, 272, 269, 476, 275, 27353, 568, 476, 275, 2053, 476, 274, 2053, 476, 273, 2053, 476, 272, 269, 476, 274, 27353, 568, 476, 274, 2053, 476, 273, 2053, 476, 272, 269, 2913, 803, 1118, 602, 2312, 269, 476, 275, 2053, 476, 274, 2053, 476, 273, 2053, 476, 272, 936, 476, 274, 2053, 476, 273, 2053, 476, 272, 568, 1175, 2469, 547, 4734, 721, 609, 476, 275, 269, 901, 1318, 936, 1934, 568, 1175, 2469, 547, 581, 476, 275, 269, 3973, 649, 991, 547, 4137, 856, 1018, 476, 275, 3442, 476, 273, 568, 269, 476, 275, 3442, 476, 273, 568, 2469, 547, 581, 476, 275, 27353, 936, 476, 273, 27353, 2053, 1018, 781, 476, 275, 14263, 3267, 713, 568, 2469, 547, 581, 562, 14263, 737, 267, 476, 275, 14263, 476, 273, 936, 476, 273, 27353, 269, 1924, 1018, 568, 713, 2469, 547, 581, 286, 2913, 803, 20801, 936, 547, 519, 1318, 513, 2370, 3787, 269, 901, 568, 2469, 547, 581, 476, 275, 2053, 476, 274, 2053, 476, 273, 2053, 476, 272, 936, 476, 273, 27353, 568, 476, 273, 267, 936, 476, 273, 2053, 476, 273, 269, 901, 568, 476, 273, 267, 713, 568, 476, 273, 267, 865, 476, 273, 2053, 476, 273, 568, 1482, 3364, 607, 476, 275, 269, 1284, 2811, 2451, 609, 476, 274, 2053, 476, 273, 2053, 476, 272, 267, 799, 568, 3160, 547, 476, 277, 269, 2334, 781, 3160, 547, 476, 277, 269, 3973, 1018, 568, 476, 275, 3442, 476, 274, 286, 594, 3513, 946, 930, 2230, 1524, 1934, 269, 1924, 476, 275, 3442, 476, 274, 267, 476, 275, 3442, 476, 274, 568, 3160, 547, 476, 275, 27353, 936, 267, 936, 476, 274, 27353, 2053, 476, 275, 14263, 476, 274, 27353, 267, 865, 602, 781, 1175, 2469, 547, 581, 476, 272, 27353, 269, 4270, 267, 649, 2907, 23125, 856, 1018, 602, 568, 269, 2334, 781, 519, 1482, 3364, 607, 713, 1318, 936, 1934, 269, 1411, 1175, 23396, 519, 476, 272, 27353, 543, 519, 476, 274, 27353, 269, 1284, 2907, 23125, 856, 602, 713, 568, 2469, 547, 581, 3160, 547, 476, 275, 269, 2334, 568, 3160, 547, 476, 275, 269, 476, 275, 3442, 476, 275, 286, 4270, 267, 713, 568, 1175, 2469, 547, 581, 267, 1577, 803, 1175, 798, 621, 936, 1934, 267, 476, 275, 3442, 476, 275, 568, 476, 275, 27353, 936, 476, 275, 27353, 2053, 476, 271, 27353, 267, 799, 568, 519, 3169, 3364, 649, 1185, 1934, 267, 799, 649, 23125, 856, 729, 476, 272, 269, 3807, 899, 602, 267, 649, 2811, 2944, 269, 1284, 941, 2111, 547, 4137, 856, 1018, 513, 7132, 536, 547, 519, 476, 275, 628, 1379, 568, 269, 898, 781, 476, 272, 320, 547, 519, 476, 275, 628, 7132, 476, 275, 320, 547, 519, 476, 274, 6113, 536, 547, 519, 476, 272, 560, 7132, 476, 277, 320, 16302, 536, 16302, 7132, 476, 275, 629, 7750, 539, 7132, 536, 547, 519, 476, 275, 628, 269, 24511, 267, 1577, 803, 1175, 2328, 602, 1524, 267, 2094, 649, 1705, 782, 602, 960, 269, 901, 568, 3160, 547, 513, 547, 519, 476, 275, 628, 7132, 267, 7132, 476, 275, 267, 7132, 476, 275, 320, 547, 519, 476, 274, 6113, 267, 513, 547, 519, 476, 274, 6113, 536, 7132, 267, 7132, 476, 277, 267, 7132, 476, 277, 320, 16302, 536, 16302, 267, 513, 16302, 536, 16302, 267, 7132, 267, 7132, 267, 7132, 476, 275, 267, 594, 1589, 596, 1294, 513, 4806, 1934, 267, 7132, 476, 275, 320, 2053, 536, 547, 519, 476, 274, 6113, 1379, 7132, 536, 547, 519, 476, 275, 628, 1379, 267, 7132, 536, 547, 519, 476, 275, 628, 1379, 269, 1703, 568, 606, 4277, 4806, 1934, 269, 1703, 568, 513, 15340, 1141, 596, 723, 519, 11664, 267, 596, 979, 476, 272, 267, 476, 275, 267, 476, 277, 585, 519, 1647, 2165, 267, 543, 1287, 596, 979, 1394, 547, 476, 275, 267, 543, 1287, 596, 979, 1394, 547, 476, 272, 269, 3973, 596, 849, 1294, 602, 4806, 267, 568, 602, 596, 1376, 693, 513, 547, 519, 476, 275, 628, 267, 513, 547, 519, 476, 274, 6113, 267, 513, 16302, 267, 513, 267, 543, 1287, 596, 1223, 2161, 972, 568, 606, 513, 547, 519, 476, 271, 1934, 267, 543, 1287, 596, 3323, 536, 547, 519, 476, 271, 267, 799, 649, 4769, 1405, 2328, 621, 267, 855, 602, 781, 1175, 476, 272, 267, 1287, 536, 547, 519, 476, 272, 560, 267, 536, 16302, 267, 536, 547, 519, 476, 274, 6113, 267, 536, 547, 519, 476, 275, 628, 269, 901, 568, 1175, 835, 3498, 610, 835, 1383, 269, 769, 2104, 7044, 267, 649, 3513, 798, 811, 1806, 540, 519, 23481, 11532, 543, 849, 2119, 547, 1174, 1946, 621, 1568, 269, 0, 258, 667, 9281, 29052, 28718, 28940, 968, 299, 12114, 2752, 6673, 24165, 311, 296, 7246, 3582, 10640, 9802, 476, 2764, 628, 267, 476, 1001, 276, 454, 6597, 2988, 944, 570, 12460, 454, 25820, 281, 8096, 1015, 20430, 692, 307, 12460, 6609, 692, 3383, 649, 786, 1631, 946, 713, 2856, 547, 1628, 606, 3830, 540, 513, 700, 12114, 799, 786, 16977, 513, 674, 7419, 290, 3582, 780, 17504, 4032, 281, 476, 27174, 454, 4537, 12976, 8525, 281, 476, 272, 270, 279, 454, 291, 9281, 29052, 28718, 3201, 20784, 12114, 2752, 6673, 24165, 311, 296, 7246, 3582, 5575, 281, 6333, 875, 11592, 4149, 331, 2100, 281, 568, 519, 1482, 607, 307, 836, 550, 7412, 281, 1924, 649, 786, 1631, 946, 713, 2856, 547, 1628, 606, 3830, 540, 513, 700, 12114, 799, 786, 16977, 513, 674, 7419, 290, 3582, 9950, 311, 21283, 4041, 476, 272, 281, 8340, 513, 17242, 1899, 19406, 693, 630, 476, 271, 2073, 476, 272, 3738, 1287, 1294, 875, 1434, 621, 568, 1924, 267, 519, 5276, 19406, 3830, 568, 281, 610, 1924, 267, 568, 519, 1482, 607, 855, 1152, 585, 2418, 1360, 2673, 547, 1535, 815, 476, 271, 269, 1284, 1131, 723, 547, 1711, 513, 4625, 1114, 1899, 585, 513, 1114, 630, 343, 267, 586, 264, 6292, 11859, 268, 271, 269, 276, 268, 271, 269, 272, 268, 271, 269, 18089, 271, 269, 18089, 269, 272, 269, 276, 269, 276, 2641, 269, 12010, 273, 269, 31275, 1822, 21076, 269, 27947, 15886, 10037, 269, 271, 4200, 10037, 269, 5325, 280, 269, 276, 269, 280, 269, 4200, 272, 272, 269, 18733, 269, 1556, 269, 276, 13286, 268, 269, 28512, 268, 269, 1822, 273, 268, 269, 1822, 1822, 736, 269, 1822, 1822, 273, 269, 1822, 273, 269, 28512, 13052, 21283, 4041, 476, 272, 288, 281, 1411, 8347, 898, 281, 8073, 513, 5276, 19406, 3830, 585, 519, 1599, 281, 693, 717, 2894, 2207, 3201, 19766, 2752, 3041, 2177, 645, 4953, 25446, 2894, 586, 6730, 10085, 589, 304, 815, 519, 1483, 1689, 538, 586, 815, 586, 815, 9474, 815, 519, 16995, 19406, 540, 586, 815, 10085, 1634, 607, 519, 11186, 540, 586, 6508, 689, 519, 9386, 540, 519, 17242, 1899, 544, 11927, 815, 519, 12045, 815, 20586, 519, 10085, 1631, 1924, 649, 723, 621, 713, 568, 519, 4214, 540, 513, 667, 9281, 29052, 28718, 3201, 284, 519, 11186, 540, 586, 13052, 21283, 4041, 476, 273, 281, 24951, 586, 543, 10085, 4131, 1547, 4855, 10085, 950, 1535, 815, 476, 272, 543, 15848, 815, 1547, 4905, 269, 14424, 713, 547, 586, 585, 519, 1482, 1535, 267, 543, 1535, 269, 2414, 1265, 10085, 267, 649, 3274, 991, 547, 946, 519, 11186, 1106, 540, 519, 12045, 4082, 589, 14389, 6993, 269, 519, 4214, 540, 513, 11186, 269, 2414, 5635, 713, 547, 519, 4890, 586, 267, 519, 1483, 1689, 538, 586, 267, 899, 2944, 538, 606, 7223, 1576, 649, 683, 324, 692, 1012, 5623, 689, 2875, 692, 6597, 2988, 944, 9906, 454, 257, 10749, 941, 540, 19599, 1164, 2298, 267, 543, 711, 899, 4376, 594, 4312, 2938, 593, 824, 4609, 269, 15020, 24330, 693, 875, 1256, 513, 6280, 1377, 476, 273, 1557, 729, 17411, 269, 16874, 930, 2152, 609, 14327, 855, 646, 729, 2656, 547, 4368, 621, 269, 27029, 16485, 707, 6780, 2055, 269, 25547, 633, 2298, 4267, 2439, 13911, 707, 2243, 1934, 630, 528, 14202, 606, 3239, 2020, 9264, 275, 21493, 616, 2228, 692, 2162, 4033, 26671, 692, 4962, 270, 2764, 270, 1001, 276, 454, 4962, 270, 2764, 270, 1001, 276, 454, 4962, 270, 2764, 270, 1001, 276, 454, 4962, 270, 2764, 270, 1001, 276, 692, 31342, 2160, 692, 14096, 272, 570, 12781, 692, 30210, 4659, 540, 5303, 692, 22659, 272, 570, 12781, 692, 10111, 28616, 631, 749, 517, 2160, 692, 7176, 273, 570, 12781, 692, 8624, 3518, 807, 2160, 692, 10219, 277, 570, 12781, 692, 291, 691, 17625, 2160, 692, 21076, 274, 570, 12781, 692, 10387, 800, 2160, 692, 25375, 280, 570, 12781, 692, 19604, 10542, 2160, 692, 276, 4200, 570, 12781, 692, 22709, 11637, 4659, 540, 5303, 692, 23211, 280, 570, 12781, 692, 6124, 3840, 2160, 692, 13932, 276, 570, 12781, 692, 8253, 516, 12456, 2160, 692, 4489, 272, 570, 12781, 692, 302, 18925, 2160, 692, 18891, 273, 570, 12781, 692, 303, 523, 11796, 3557, 2160, 692, 280, 3953, 570, 12781, 692, 32459, 17662, 2160, 692, 13199, 272, 570, 12781, 692, 1805, 534, 5112, 2160, 692, 7176, 274, 570, 12781, 692, 17206, 540, 4993, 692, 12553, 273, 570, 12781, 692, 23682, 5112, 2160, 692, 11277, 570, 12781, 692, 312, 1446, 2160, 692, 22446, 276, 570, 12781, 0, 10112, 18620, 11762, 13466, 3220, 269, 4569, 5851, 13466, 9612, 3220, 269, 4569, 692, 2162, 32680, 28805, 543, 7388, 29232, 4427, 4944, 2167, 692, 3499, 14630, 281, 476, 5400, 270, 1724, 270, 1220, 274, 693, 476, 2537, 281, 866, 281, 2918, 454, 5804, 281, 661, 3333, 320, 454, 20428, 281, 32680, 5624, 543, 12242, 7851, 692, 1432, 4010, 568, 513, 12242, 2230, 540, 513, 6152, 2230, 286, 1656, 849, 666, 596, 454, 1410, 21622, 1946, 952, 535, 6818, 538, 966, 265, 1287, 535, 6818, 538, 630, 3412, 700, 7565, 10520, 12723, 264, 1287, 454, 25585, 568, 621, 602, 630, 3412, 700, 7565, 10520, 12723, 264, 815, 23715, 700, 265, 2496, 296, 917, 519, 4214, 267, 855, 972, 568, 1100, 4605, 540, 513, 12242, 4786, 269, 476, 1772, 454, 11004, 971, 513, 3364, 607, 513, 12242, 7004, 286, 594, 2219, 602, 513, 12242, 454, 11898, 729, 950, 596, 723, 513, 6152, 2230, 966, 543, 596, 723, 513, 7004, 454, 299, 602, 3217, 966, 547, 1776, 6152, 2230, 772, 269, 476, 1656, 513, 12242, 4786, 568, 513, 454, 10818, 602, 3651, 338, 772, 265, 547, 513, 2361, 538, 966, 265, 563, 7884, 8199, 14630, 281, 476, 5400, 270, 1428, 270, 1220, 274, 693, 476, 6734, 281, 1839, 281, 1724, 454, 5804, 281, 16362, 25303, 454, 20428, 281, 1234, 281, 32680, 5624, 543, 12242, 7851, 692, 17098, 661, 3333, 320, 10484, 12552, 585, 1603, 547, 3220, 269, 4569, 780, 2791, 4312, 4280, 513, 2603, 540, 2055, 1934, 267, 543, 1034, 540, 519, 4267, 2154, 454, 638, 924, 513, 3787, 540, 7778, 269, 594, 6415, 2469, 547, 2119, 547, 3077, 1250, 3137, 454, 1729, 606, 5304, 602, 568, 2864, 2484, 2059, 538, 519, 1353, 540, 5276, 454, 531, 5040, 269, 1403, 594, 25657, 596, 693, 1022, 942, 267, 5225, 2307, 803, 585, 27792, 780, 9827, 267, 594, 23294, 1125, 585, 519, 3668, 540, 1623, 321, 1108, 1934, 538, 10750, 32412, 2862, 1257, 454, 268, 621, 1522, 1118, 621, 2182, 547, 20559, 513, 6152, 689, 513, 22185, 267, 585, 454, 9987, 267, 1317, 594, 666, 1405, 946, 12050, 2183, 269, 476, 594, 786, 4061, 2141, 454, 1410, 14032, 569, 1592, 519, 834, 4820, 540, 2979, 257, 540, 1142, 3090, 594, 946, 269, 594, 786, 946, 454, 326, 9127, 5022, 25250, 856, 630, 3697, 834, 12978, 8442, 547, 2099, 7851, 267, 519, 5022, 454, 5416, 267, 536, 267, 524, 1862, 264, 547, 2099, 9470, 1513, 267, 543, 519, 5022, 630, 340, 267, 642, 267, 530, 1862, 264, 547, 454, 10517, 6974, 10321, 269, 476, 594, 786, 11963, 856, 4238, 267, 971, 607, 834, 1492, 454, 1260, 921, 29232, 1016, 11898, 540, 257, 543, 834, 1492, 1098, 2821, 540, 3010, 4131, 781, 1376, 693, 519, 4098, 269, 476, 589, 834, 10818, 531, 257, 568, 513, 3109, 4216, 602, 454, 339, 1389, 6152, 4433, 264, 607, 3403, 543, 838, 1080, 856, 1483, 2338, 607, 3977, 269, 769, 454, 1278, 1913, 267, 513, 5276, 6198, 568, 513, 4786, 689, 10321, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3848, 476, 1626, 281, 20051, 1715, 14886, 689, 2279, 541, 692, 5331, 5870, 2576, 689, 1776, 4541, 256, 898, 1522, 3280, 899, 1945, 596, 1131, 1294, 538, 513, 2257, 5708, 7260, 267, 855, 1004, 3006, 2328, 2984, 827, 621, 269, 4653, 267, 649, 786, 2263, 513, 1650, 827, 513, 8004, 3957, 1772, 629, 7578, 945, 10742, 606, 9813, 3957, 7137, 4459, 645, 262, 298, 320, 541, 269, 4634, 1498, 789, 2097, 689, 1114, 10600, 267, 789, 1869, 723, 930, 1919, 538, 1455, 910, 1175, 899, 721, 543, 938, 2828, 2439, 4131, 781, 1376, 676, 1565, 513, 2370, 3787, 827, 30659, 269, 1323, 834, 531, 1329, 257, 568, 513, 2262, 1031, 547, 4766, 1022, 13442, 602, 2501, 689, 12341, 824, 982, 3047, 269, 6884, 4589, 4952, 1018, 30659, 1522, 1413, 899, 1759, 593, 2831, 1934, 593, 3047, 269, 1280, 1383, 267, 7137, 4459, 645, 262, 298, 320, 541, 568, 4330, 607, 1373, 2462, 543, 17559, 23302, 269, 901, 3085, 1405, 1611, 602, 782, 30659, 616, 5458, 610, 31029, 282, 713, 568, 3274, 875, 7137, 4459, 5654, 538, 713, 1880, 1650, 780, 3086, 1577, 781, 2911, 827, 1946, 1772, 629, 7578, 16976, 547, 2743, 7137, 4459, 269, 1411, 949, 3314, 602, 4505, 538, 519, 1433, 267, 649, 4121, 602, 1772, 629, 7578, 19380, 1200, 2816, 543, 2115, 2724, 547, 1832, 2713, 538, 1200, 1753, 269, 10251, 267, 4466, 513, 1007, 2816, 3884, 1405, 2653, 267, 2523, 950, 2053, 616, 9157, 269, 1879, 1004, 2731, 991, 948, 267, 789, 1522, 798, 1945, 27290, 267, 899, 19142, 909, 585, 513, 2027, 1982, 269, 2334, 781, 4010, 1018, 1772, 629, 7578, 1281, 910, 1352, 26082, 513, 1982, 1141, 3425, 666, 1831, 29982, 609, 30659, 2439, 1103, 713, 1650, 267, 4742, 29982, 1797, 8108, 513, 2673, 6125, 1063, 1079, 7919, 269, 2755, 3425, 2356, 15395, 519, 2165, 834, 22940, 257, 585, 11509, 4891, 267, 538, 713, 2013, 267, 621, 4016, 547, 1818, 2828, 2066, 2249, 269, 1924, 1247, 1772, 629, 7578, 4769, 1405, 917, 7137, 4459, 1354, 267, 1631, 789, 2671, 513, 2178, 4276, 998, 713, 2189, 1982, 780, 3674, 629, 7578, 7959, 8401, 1317, 7137, 4459, 4667, 865, 1114, 689, 4896, 1352, 6487, 269, 1717, 267, 5103, 741, 3604, 267, 789, 1312, 1451, 602, 11505, 666, 8115, 10616, 1063, 9583, 7429, 2043, 269, 1635, 519, 1439, 540, 519, 3184, 267, 7137, 4459, 14767, 547, 2149, 1772, 629, 7578, 267, 6029, 602, 646, 30128, 585, 1200, 8171, 269, 3807, 899, 1434, 2828, 1934, 593, 3047, 267, 789, 1796, 676, 1142, 824, 1282, 4101, 8090, 780, 2026, 596, 979, 2429, 707, 1554, 2221, 267, 1589, 827, 519, 17052, 596, 723, 609, 1346, 1472, 596, 269, 1548, 2306, 873, 2027, 286, 1215, 798, 596, 1489, 1142, 824, 286, 3767, 2119, 31935, 2348, 513, 3659, 945, 2729, 593, 1776, 4541, 7357, 256, 1403, 596, 1223, 1374, 707, 1378, 9813, 3659, 267, 1018, 7907, 1131, 789, 4865, 286, 3503, 1524, 707, 4555, 543, 2671, 873, 609, 513, 1362, 22940, 610, 1920, 4759, 2663, 593, 780, 9961, 519, 1964, 540, 713, 3018, 267, 649, 786, 3136, 3695, 2984, 827, 8966, 17052, 269, 5901, 2542, 547, 3605, 811, 4277, 3197, 543, 741, 9035, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 723, 711, 1224, 1034, 540, 519, 1007, 13847, 7396, 630, 24392, 594, 2141, 1439, 909, 835, 12641, 10107, 513, 19619, 607, 594, 5965, 891, 9708, 700, 5357, 1916, 8072, 5723, 685, 18575, 24384, 984, 809, 543, 519, 8835, 4444, 3095, 563, 5327, 704, 622, 267, 1352, 4191, 1200, 1272, 2476, 2507, 547, 519, 1085, 2456, 339, 9813, 1352, 779, 2479, 2938, 269, 700, 3151, 1200, 2816, 568, 519, 2063, 12450, 585, 1772, 629, 7578, 269, 2701, 3580, 581, 14736, 539, 856, 540, 1200, 19887, 8259, 1352, 9060, 811, 960, 267, 543, 2713, 593, 519, 8265, 568, 513, 1360, 2110, 2669, 4845, 269, 1809, 1100, 835, 779, 17849, 513, 4807, 689, 519, 5377, 2196, 326, 540, 1272, 779, 21117, 543, 1256, 519, 1418, 29627, 3549, 9505, 519, 7450, 538, 1200, 3068, 269, 6904, 1797, 1352, 779, 26525, 2507, 26525, 2614, 547, 1129, 909, 585, 519, 1007, 700, 987, 4115, 19898, 1982, 269, 2677, 704, 622, 2614, 711, 547, 2196, 950, 519, 7887, 267, 1085, 2456, 339, 9813, 1352, 779, 2479, 2938, 15211, 883, 519, 5604, 269, 19402, 646, 3081, 1352, 779, 1010, 19898, 267, 1287, 782, 914, 338, 616, 1055, 2507, 9515, 666, 2196, 267, 855, 1352, 666, 1406, 12404, 269, 1261, 3580, 1265, 1200, 269, 1656, 646, 3580, 3409, 1200, 607, 1010, 269, 7137, 4459, 645, 685, 298, 320, 541, 814, 1044, 3168, 585, 1010, 535, 730, 19898, 2479, 2094, 1200, 5027, 20083, 609, 1010, 269, 1809, 1352, 779, 15931, 693, 15720, 9887, 543, 646, 8910, 513, 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, 7170, 281, 14295, 3019, 532, 9828, 585, 8866, 281, 12861, 9966, 5387, 16503, 5928, 585, 7913, 22910, 692, 13981, 20505, 1384, 265, 13760, 519, 1686, 543, 4644, 540, 2228, 13371, 17446, 543, 27977, 454, 265, 3763, 1983, 538, 2870, 14973, 12383, 1210, 1585, 20419, 532, 2553, 454, 265, 6258, 1655, 2853, 585, 8600, 543, 11249, 11247, 585, 3059, 8313, 454, 265, 10812, 519, 5698, 1184, 3238, 538, 7700, 547, 513, 3059, 4417, 11706, 899, 772, 311, 5733, 2593, 692, 4089, 476, 272, 281, 634, 12472, 540, 6732, 22383, 543, 741, 8177, 692, 763, 4950, 814, 19117, 1082, 3029, 540, 2923, 267, 1519, 14676, 543, 27977, 269, 717, 821, 616, 519, 2395, 950, 3988, 1185, 547, 7227, 12353, 585, 519, 10732, 1957, 547, 1205, 741, 13371, 14816, 4368, 269, 4653, 267, 7270, 899, 772, 311, 5733, 2593, 2709, 3232, 13066, 540, 9644, 543, 6667, 998, 26940, 10070, 540, 11609, 8356, 1375, 1115, 269, 1452, 5867, 1683, 3255, 585, 14971, 5159, 547, 13686, 741, 13007, 543, 3914, 9962, 9458, 982, 2479, 1354, 780, 1103, 713, 3296, 267, 649, 786, 1865, 519, 4720, 540, 2228, 14676, 543, 741, 1764, 593, 2413, 2528, 269, 4841, 786, 2263, 8037, 1806, 540, 3811, 1357, 1260, 923, 543, 5659, 1018, 5036, 873, 6306, 689, 2757, 1820, 12043, 269, 3414, 2013, 2090, 971, 607, 772, 311, 5733, 2593, 267, 1053, 786, 2744, 4030, 883, 875, 891, 5867, 6536, 5876, 543, 5698, 1369, 2950, 780, 4089, 476, 273, 281, 5853, 1049, 14295, 3019, 532, 9828, 585, 9966, 5387, 16503, 5928, 692, 17730, 2500, 14973, 12383, 3340, 17117, 540, 4909, 20419, 532, 2553, 269, 769, 713, 3296, 267, 1053, 786, 1451, 1898, 5373, 1983, 971, 607, 1915, 1374, 267, 608, 12000, 3130, 267, 11132, 7215, 267, 1560, 1893, 267, 543, 3308, 9423, 269, 1358, 786, 849, 3605, 2081, 547, 6451, 9644, 883, 741, 1148, 998, 2262, 2452, 267, 2686, 8100, 267, 543, 32638, 18792, 780, 7437, 3946, 6823, 5751, 543, 11461, 2259, 267, 1053, 786, 1628, 6015, 538, 741, 2702, 547, 1711, 2502, 3197, 543, 7653, 602, 13469, 609, 3309, 9458, 269, 1635, 3695, 1585, 6163, 543, 4485, 267, 789, 786, 2253, 3384, 741, 2189, 5639, 543, 5133, 607, 20419, 1235, 780, 4089, 476, 274, 281, 27759, 3203, 1740, 585, 7913, 22910, 692, 5629, 1053, 723, 2919, 741, 20419, 532, 1983, 267, 621, 781, 942, 547, 5965, 741, 11247, 585, 3059, 8313, 269, 901, 3296, 6227, 1655, 2853, 585, 17655, 267, 7738, 909, 267, 543, 17306, 2592, 585, 1357, 946, 269, 4841, 786, 1451, 875, 547, 3442, 3617, 3758, 2010, 267, 21368, 267, 543, 2681, 12331, 547, 2327, 741, 12383, 1413, 1390, 593, 13819, 540, 782, 7306, 780, 12234, 267, 713, 3296, 12857, 2645, 543, 2200, 585, 4946, 2170, 2032, 543, 14318, 547, 11979, 2592, 267, 7393, 3593, 6278, 543, 2949, 1995, 269, 1635, 6220, 2241, 27515, 610, 7317, 2609, 267, 1053, 666, 1491, 741, 20419, 532, 1983, 547, 519, 1985, 1377, 543, 1796, 856, 538, 2221, 781, 8013, 3059, 5251, 780, 4089, 476, 275, 281, 20985, 19662, 538, 519, 2622, 540, 6732, 22383, 692, 30655, 566, 4249, 513, 1713, 1909, 538, 519, 1967, 540, 1082, 2228, 13371, 3785, 267, 971, 607, 772, 311, 5733, 2593, 269, 769, 713, 3803, 3296, 267, 1053, 786, 4983, 519, 2640, 540, 2324, 609, 1866, 543, 1451, 2994, 585, 11327, 12352, 269, 11762, 4988, 1331, 2792, 267, 15518, 566, 267, 16268, 9880, 267, 543, 15268, 547, 1114, 7499, 6163, 780, 3528, 10283, 538, 1895, 2238, 543, 7234, 1483, 8996, 1806, 267, 1053, 786, 1020, 606, 7071, 585, 519, 1871, 540, 5698, 538, 3860, 18129, 269, 1358, 786, 4734, 713, 1576, 9280, 609, 519, 1702, 543, 1983, 2877, 547, 3565, 25006, 547, 14762, 2228, 13371, 2950, 1247, 13197, 741, 1378, 7499, 3853, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8138, 332, 3827, 585, 476, 1001, 280, 454, 12552, 585, 1373, 5461, 538, 26446, 513, 4062, 547, 772, 311, 5733, 2593, 269, 1284, 2811, 3168, 4464, 547, 4687, 707, 2856, 609, 519, 1158, 267, 543, 713, 2985, 786, 948, 596, 1174, 4010, 875, 649, 666, 1118, 602, 4755, 1927, 563, 2252, 596, 723, 1022, 2055, 610, 10372, 827, 22347, 3827, 267, 649, 9364, 2648, 547, 5873, 689, 596, 269, 15439, 6494, 707, 5048, 547, 4757, 11333, 2593, 454, 4131, 781, 1376, 593, 519, 1482, 2985, 910, 1018, 568, 772, 311, 5733, 2593, 888, 10376, 1032, 2094, 476, 1001, 273, 267, 772, 311, 4648, 689, 1472, 519, 1158, 723, 32524, 547, 1711, 513, 9702, 2389, 1335, 539, 3896, 1572, 772, 311, 5733, 12544, 3059, 4417, 11706, 1141, 1142, 1554, 649, 1930, 513, 7450, 547, 7866, 606, 16367, 2370, 772, 311, 562, 1872, 1326, 269, 19928, 12781, 2097, 689, 513, 2039, 540, 10080, 267, 2833, 267, 543, 2027, 885, 269, 898, 779, 513, 1187, 2856, 267, 543, 1927, 649, 1294, 621, 607, 1776, 1507, 1259, 547, 2671, 2093, 543, 1451, 1369, 513, 8049, 543, 11215, 772, 311, 2146, 269, 13870, 543, 21107, 960, 585, 772, 311, 5733, 568, 5340, 676, 519, 2319, 689, 772, 311, 9457, 344, 267, 543, 519, 3135, 1374, 568, 2322, 1927, 676, 519, 2319, 689, 774, 1009, 2289, 3930, 563, 289, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 9966, 528, 1315, 1290, 545, 22367, 1186, 1299, 14295, 9398, 1315, 14295, 3019, 532, 9828, 585, 8866, 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, 2878, 17345, 5149, 281, 10289, 3776, 20079, 998, 5741, 15369, 4804, 4373, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 7832, 593, 513, 3460, 547, 3605, 543, 1174, 938, 4872, 256, 1284, 786, 2263, 875, 4872, 616, 2189, 4025, 2407, 540, 3309, 1004, 267, 4529, 267, 543, 5656, 1247, 849, 4687, 2147, 4162, 269, 3414, 1788, 2861, 1565, 267, 596, 3513, 1205, 3946, 6823, 1995, 14236, 707, 1378, 2146, 543, 3384, 3860, 3435, 547, 1483, 8996, 2591, 269, 2913, 781, 4685, 883, 519, 1158, 540, 4872, 2439, 1262, 4089, 476, 272, 281, 1548, 24439, 513, 4975, 15140, 5970, 596, 2479, 11074, 547, 1589, 827, 1018, 2306, 513, 2749, 2027, 286, 589, 2749, 666, 581, 3989, 607, 513, 1804, 267, 29822, 20651, 1858, 609, 3982, 2686, 267, 2804, 267, 543, 1514, 2934, 269, 20079, 1419, 4196, 607, 7740, 585, 16450, 267, 2069, 267, 543, 9913, 269, 1717, 267, 1100, 1079, 4872, 616, 4010, 7567, 269, 1280, 1383, 267, 1715, 3840, 4975, 814, 1236, 903, 322, 1905, 619, 267, 14297, 10754, 267, 543, 4583, 21056, 899, 8648, 12384, 543, 519, 6465, 826, 540, 23068, 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 ]
[ 6217, 538, 835, 5873, 982, 519, 824, 454, 268, 681, 15781, 267, 18388, 532, 267, 610, 1010, 28410, 538, 707, 10772, 454, 268, 20523, 7411, 6340, 593, 519, 6049, 454, 268, 20523, 7411, 1620, 4633, 538, 26776, 5054, 454, 268, 5695, 940, 909, 519, 4320, 540, 519, 8613, 610, 5925, 454, 2252, 596, 610, 707, 6068, 3283, 616, 711, 6005, 1022, 540, 891, 2589, 267, 621, 568, 2141, 5227, 547, 723, 513, 2407, 2912, 8344, 6217, 6514, 676, 513, 13931, 24384, 6048, 269, 589, 2596, 6217, 6268, 3335, 2882, 513, 2656, 1413, 883, 707, 1274, 12324, 547, 2327, 4986, 568, 17527, 519, 4992, 689, 10707, 883, 707, 1274, 269, 901, 568, 1287, 3335, 4553, 676, 519, 24384, 6048, 2348, 596, 6432, 547, 1114, 4992, 609, 8795, 10978, 1145, 543, 12334, 547, 3313, 519, 2571, 652, 4992, 596, 616, 2111, 547, 5873, 563, 5353, 22701, 4648, 538, 519, 25350, 1858, 888, 268, 25350, 24651, 543, 16594, 4741, 2488, 2912, 8344, 4152, 543, 25191, 2126, 3681, 585, 1004, 540, 782, 6502, 2336, 268, 25350, 18669, 10361, 543, 3026, 1188, 4659, 8791, 540, 10748, 5735, 2488, 3102, 6217, 3782, 585, 1004, 540, 782, 6502, 630, 22772, 513, 4087, 1934, 25631, 0, 7072, 547, 1215, 4658, 2422, 19208, 454, 763, 12316, 3642, 2203, 2919, 676, 7046, 9590, 1634, 607, 19208, 4433, 1830, 264, 568, 513, 6305, 1383, 540, 875, 13710, 1893, 4393, 2553, 4433, 1830, 264, 616, 12018, 3875, 9922, 676, 1138, 6819, 1480, 6438, 1257, 5108, 1759, 593, 9138, 12987, 610, 12981, 269, 901, 2376, 12538, 883, 1620, 875, 1004, 616, 1210, 19208, 538, 1585, 3318, 4610, 563, 1692, 3657, 4658, 4635, 19208, 281, 10241, 538, 7756, 590, 26662, 454, 14807, 1049, 21964, 540, 19208, 454, 30942, 16821, 779, 3498, 538, 2069, 5713, 607, 606, 5499, 3059, 20131, 4433, 1830, 1070, 5356, 1565, 6351, 547, 1053, 998, 1950, 3137, 543, 2502, 1888, 5717, 269, 901, 8711, 835, 540, 519, 1883, 2081, 1004, 616, 1210, 19208, 547, 3986, 519, 3872, 5823, 563, 30942, 16821, 538, 519, 23654, 2622, 454, 19968, 4238, 616, 849, 7487, 519, 4417, 540, 875, 1004, 616, 1210, 19208, 269, 901, 3642, 2203, 7028, 20319, 4247, 267, 4267, 14511, 267, 543, 2488, 3407, 6075, 3028, 4433, 1830, 1040, 589, 2101, 5413, 1934, 568, 519, 1713, 5786, 538, 2200, 1163, 2105, 593, 6075, 1489, 607, 19208, 20362, 25229, 21747, 2055, 543, 13668, 563, 12892, 9012, 5004, 609, 19208, 454, 4415, 519, 4473, 540, 3642, 538, 1514, 2923, 2359, 4433, 1830, 1070, 4623, 6203, 543, 12478, 616, 3695, 875, 1004, 616, 1210, 19208, 547, 5818, 6278, 998, 10004, 543, 6085, 15569, 267, 543, 1256, 10451, 2502, 2022, 3061, 687, 563, 11767, 24287, 12752, 779, 2422, 540, 19208, 454, 763, 9913, 2872, 568, 711, 2451, 3297, 538, 1620, 875, 1004, 616, 1210, 19208, 269, 1306, 513, 2189, 7097, 8586, 1907, 4433, 1830, 1070, 19208, 12958, 3312, 19929, 267, 4729, 2093, 267, 543, 1915, 1646, 11444, 563, 763, 18370, 543, 3117, 540, 1215, 4658, 2422, 19208, 454, 8601, 922, 11999, 2640, 267, 8320, 540, 875, 1004, 946, 19208, 7866, 922, 2591, 269, 6145, 782, 3642, 3631, 267, 621, 666, 3006, 31495, 13133, 12987, 267, 3056, 547, 796, 8588, 610, 20025, 6114, 4433, 1830, 1040, 16480, 267, 6024, 1565, 543, 18175, 10232, 616, 1818, 19208, 5051, 5730, 543, 26374, 563, 1103, 3932, 267, 606, 2079, 540, 875, 1004, 616, 1210, 19208, 8711, 922, 1909, 538, 7393, 543, 28976, 1585, 4247, 4433, 1830, 1040, 6736, 922, 7687, 267, 621, 779, 10423, 602, 19208, 6585, 6909, 1761, 585, 23429, 2104, 2029, 269, 0, 2467, 568, 513, 7521, 538, 18322, 827, 2436, 649, 1058, 2333, 610, 6175, 3432, 7182, 547, 2061, 7972, 267, 18793, 540, 6175, 524, 2572, 602, 519, 16069, 942, 540, 6517, 2333, 676, 3432, 267, 543, 972, 616, 811, 1648, 547, 6146, 538, 2362, 11250, 267, 18793, 540, 2333, 3432, 7182, 524, 2572, 602, 972, 616, 1447, 7972, 538, 2362, 3432, 3970, 9897, 538, 1863, 1811, 982, 538, 2539, 3432, 3970, 9897, 899, 2749, 543, 2197, 9897, 267, 543, 849, 524, 2572, 602, 1313, 984, 23167, 538, 5125, 609, 1100, 543, 2362, 3432, 7182, 814, 2539, 7972, 982, 1346, 609, 2539, 3432, 7182, 267, 945, 568, 1318, 538, 713, 7521, 888, 763, 7521, 593, 2436, 547, 2333, 610, 6175, 3432, 7182, 547, 2061, 7972, 568, 1950, 543, 15491, 267, 543, 1312, 5011, 723, 4570, 2798, 563, 17829, 945, 1489, 13302, 3432, 7182, 8044, 602, 2362, 11250, 2154, 3476, 16069, 9883, 267, 799, 1797, 602, 10256, 723, 1447, 942, 547, 2746, 547, 6397, 3871, 593, 519, 4155, 267, 2810, 519, 10171, 540, 10913, 269, 3958, 267, 2362, 11250, 1267, 538, 3152, 15452, 1648, 267, 799, 666, 2014, 811, 4049, 7063, 610, 28896, 538, 519, 2680, 540, 513, 16580, 563, 4002, 519, 824, 1688, 267, 1346, 945, 1489, 2810, 3432, 7182, 1448, 547, 2090, 602, 1397, 602, 972, 616, 7864, 7972, 593, 1164, 18286, 9897, 899, 1863, 1811, 3379, 547, 2539, 18286, 9897, 899, 2749, 543, 2197, 9897, 269, 1358, 8044, 602, 2362, 11250, 666, 2087, 6808, 2095, 543, 2569, 20316, 267, 799, 666, 6038, 1291, 547, 10930, 6117, 2175, 269, 1280, 1383, 267, 2362, 11250, 666, 2569, 519, 10171, 540, 15493, 15134, 21611, 267, 607, 1134, 607, 519, 1297, 540, 6517, 593, 519, 4155, 693, 1022, 2016, 942, 563, 13010, 267, 930, 28288, 540, 2362, 3432, 7182, 1448, 547, 519, 1383, 540, 519, 1313, 984, 23167, 538, 5125, 267, 799, 814, 1100, 3432, 3970, 538, 930, 6810, 543, 513, 2362, 3432, 3970, 538, 1866, 269, 6736, 519, 3668, 540, 513, 3432, 3970, 267, 519, 1313, 984, 23167, 814, 513, 2539, 3170, 1275, 2557, 829, 6174, 10275, 559, 10309, 14612, 982, 1082, 824, 3864, 28565, 563, 14454, 267, 519, 2626, 547, 713, 7521, 568, 711, 2312, 24408, 269, 5637, 5011, 723, 4570, 7440, 267, 543, 519, 6099, 3070, 2693, 5673, 593, 513, 3099, 540, 2188, 267, 1519, 4155, 1374, 267, 6808, 3270, 267, 543, 9920, 2623, 269, 898, 949, 581, 811, 2500, 547, 1445, 593, 824, 7459, 267, 971, 607, 5355, 4155, 1374, 543, 2810, 2069, 543, 11268, 3646, 267, 547, 2569, 28896, 593, 519, 4155, 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 ]
[ 482, 10524, 371, 418, 490, 485, 21550, 485, 14756, 493, 21550, 485, 16583, 484, 25060, 500, 14035, 482, 419, 494, 484, 12571, 492, 7511, 418, 490, 485, 21550, 485, 25335, 480, 418, 369, 489, 29219, 8147, 12571, 490, 28793, 16043, 495, 10524, 361, 16533, 484, 13644, 482, 10524, 371, 418, 490, 485, 21550, 485, 7511, 4970, 487, 419, 374, 356, 25060, 374, 25426, 368, 21550, 485, 16583, 484, 30522, 494, 29219, 28098, 18021, 498, 18263, 509, 417, 479, 504, 22909, 479, 29219, 26266, 362, 14035, 482, 419, 494, 484, 12486, 692, 12571, 490, 28793, 16043, 495, 10524, 361, 16533, 484, 13644, 482, 10524, 371, 418, 490, 485, 21550, 485, 7511, 4970, 487, 419, 374, 356, 25060, 374, 25426, 368, 21550, 485, 16583, 484, 30522, 494, 29219, 28098, 18021, 498, 18263, 509, 417, 479, 504, 22909, 479, 29219, 26266, 362, 14035, 482, 419, 494, 484, 12486, 692, 273, 269, 13127, 488, 357, 26233, 479, 20693, 510, 23521, 481, 16583, 30936, 7511, 419, 350, 362, 27936, 692, 21550, 373, 29004, 362, 419, 358, 374, 418, 364, 498, 420, 368, 357, 19404, 493, 25426, 362, 30903, 502, 7511, 14395, 508, 30522, 483, 418, 481, 483, 19540, 369, 8147, 12571, 482, 418, 490, 485, 21550, 485, 259, 343, 3709, 328, 4151, 28098, 14756, 376, 12571, 486, 13644, 482, 10524, 371, 7511, 25051, 365, 417, 497, 491, 30006, 498, 20001, 481, 31033, 12571, 486, 421, 504, 493, 419, 507, 478, 32352, 10254, 360, 7511, 417, 351, 508, 20693, 510, 417, 495, 486, 27064, 364, 10429, 486, 419, 376, 497, 418, 483, 351, 417, 351, 508, 20693, 510, 8147, 18809, 25426, 368, 417, 379, 360, 20881, 509, 417, 351, 508, 421, 499, 379, 8147, 31006, 12571, 492, 23946, 367, 419, 376, 497, 417, 351, 508, 20693, 510, 420, 370, 489, 30678, 31006, 27962, 12486, 30678, 15159, 21251, 417, 355, 357, 20881, 487, 9463, 500, 417, 495, 486, 27882, 352, 26233, 479, 26166, 27747, 481, 7511, 417, 479, 493, 27962, 417, 508, 489, 27882, 352, 26233, 479, 26166, 27747, 481, 16583, 30936, 30853, 20992, 20693, 357, 26233, 479, 20693, 510, 23521, 481, 16583, 30936, 8147, 22287, 367, 692, 274, 269, 476, 14756, 376, 12571, 486, 13644, 482, 10524, 371, 418, 357, 350, 417, 508, 489, 7511, 417, 375, 374, 419, 360, 489, 692, 20992, 29072, 14756, 503, 30006, 493, 418, 361, 350, 7511, 418, 352, 478, 418, 369, 489, 29219, 13213, 505, 27310, 26406, 496, 31365, 8147, 21928, 417, 509, 374, 30678, 31968, 13213, 364, 418, 357, 350, 417, 508, 489, 7511, 12571, 490, 28793, 8147, 9463, 500, 14756, 376, 12571, 486, 13644, 482, 10524, 371, 418, 357, 350, 417, 508, 489, 20992, 12571, 482, 13644, 482, 10524, 371, 418, 490, 485, 21550, 485, 7511, 20693, 357, 26233, 479, 20693, 510, 23521, 481, 25520, 8147, 22287, 367, 454, 259, 311, 815, 1422, 8999, 3709, 328, 284, 272, 8703, 332, 348, 530, 3709, 328, 12917, 343, 3709, 328, 16585, 1422, 10383, 1535, 3709, 328, 12917, 328, 284, 272, 267, 476, 273, 267, 476, 274, 7751, 454, 13200, 365, 27882, 353, 14756, 376, 12571, 486, 13644, 482, 10524, 371, 418, 490, 485, 21550, 485, 16583, 30936, 23746, 23284, 418, 365, 480, 24731, 30006, 493, 14748, 420, 351, 360, 13644, 482, 10524, 371, 28098, 420, 365, 350, 7511, 301, 14748, 14756, 376, 12571, 486, 13644, 482, 10524, 371, 418, 490, 485, 21550, 485, 259, 311, 3709, 330, 12917, 329, 7751, 27818, 330, 284, 272, 267, 476, 273, 267, 10371, 1421, 562, 282, 329, 284, 272, 267, 476, 273, 267, 10371, 1421, 715, 24724, 8147, 4970, 498, 29004, 362, 27882, 353, 27962, 16533, 493, 26406, 496, 31365, 8147, 23746, 23523, 501, 333, 14748, 420, 351, 360, 13644, 482, 10524, 371, 28098, 420, 365, 350, 7511, 301, 14748, 26406, 496, 31365, 25913, 418, 350, 486, 25707, 10254, 358, 17958, 19540, 367, 419, 511, 500, 26166, 22909, 494, 18809, 7511, 289, 867, 320, 16583, 30936, 25913, 25622, 23521, 354, 419, 350, 362, 27936, 14756, 376, 12571, 486, 26406, 496, 31365, 25913, 418, 350, 486, 12486, 692, 21550, 373, 29004, 362, 27882, 353, 19764, 493, 7511, 18777, 350, 28997, 501, 14756, 497, 31563, 27962, 16533, 493, 26406, 496, 31365, 8147, 28032, 379, 23746, 23523, 501, 28996, 333, 14748, 420, 351, 360, 13644, 482, 10524, 371, 28098, 420, 365, 350, 7511, 26233, 375, 26406, 496, 31365, 14756, 497, 31563, 12486, 692, 279, 269, 277, 269, 276, 17276, 357, 350, 417, 508, 489, 7511, 418, 365, 480, 25335, 352, 4970, 492, 26166, 22909, 494, 454, 272, 269, 22614, 362, 501, 25622, 692, 414, 495, 510, 476, 13213, 494, 17958, 22909, 479, 29219, 26266, 362, 25622, 8147, 16533, 484, 12255, 29004, 362, 10429, 486, 25051, 496, 13601, 25060, 500, 25060, 500, 29873, 23746, 30006, 498, 20001, 481, 7511, 314, 271, 267, 272, 316, 31968, 7511, 12255, 29219, 5405, 505, 12255, 29004, 362, 21550, 485, 16583, 484, 25060, 500, 14035, 482, 419, 494, 484, 414, 495, 350, 17276, 510, 373, 29004, 362, 417, 479, 493, 27962, 417, 508, 489, 27882, 352, 26233, 479, 26166, 27747, 481, 16583, 30936, 8147, 419, 350, 362, 27936, 4970, 487, 32352, 418, 490, 485, 21550, 485, 7511, 20693, 357, 26233, 479, 20693, 510, 23521, 481, 16583, 30936, 5405, 505, 414, 495, 351, 13127, 364, 484, 328, 10524, 492, 272, 19764, 478, 417, 356, 489, 28996, 274, 8147, 330, 10524, 492, 272, 28996, 275, 8147, 329, 10524, 492, 272, 28996, 4649, 8147, 28098, 414, 495, 350, 23523, 501, 28996, 7511, 13161, 364, 12255, 29219, 419, 509, 358, 421, 502, 369, 13213, 505, 27310, 20693, 510, 23521, 481, 418, 365, 480, 25520, 8147, 23523, 501, 28996, 21251, 12571, 490, 7511, 328, 7511, 26166, 12255, 5405, 505, 414, 495, 352, 13127, 363, 373, 26166, 12255, 13213, 505, 27310, 10524, 492, 27962, 28996, 16533, 493, 7511, 26406, 496, 31365, 8147, 23523, 501, 28996, 275, 14748, 420, 351, 360, 13644, 482, 10524, 371, 28098, 420, 365, 350, 7511, 4649, 14748, 26406, 496, 31365, 25913, 418, 350, 486, 5405, 505, 414, 495, 353, 476, 10254, 358, 17958, 289, 867, 320, 16583, 30936, 18777, 350, 28997, 501, 275, 14748, 420, 351, 360, 13644, 482, 10524, 371, 28098, 420, 365, 350, 7511, 289, 867, 320, 12255, 8147, 23946, 370, 21550, 373, 29004, 362, 289, 867, 320, 12255, 10524, 492, 27962, 28996, 16533, 493, 13213, 505, 27310, 26406, 496, 31365, 8147, 10524, 492, 26033, 490, 23523, 501, 28996, 31006, 14756, 486, 26406, 496, 31365, 14756, 497, 31563, 12486, 692, 273, 269, 17276, 365, 480, 25335, 352, 9463, 488, 26166, 22909, 494, 692, 13213, 494, 17958, 12385, 18350, 420, 377, 363, 10524, 370, 419, 376, 500, 31801, 489, 28098, 12571, 482, 418, 361, 350, 418, 352, 478, 418, 369, 489, 29219, 13213, 505, 27310, 20693, 510, 23521, 481, 418, 365, 480, 25520, 8147, 23523, 501, 28996, 12571, 482, 14756, 376, 12571, 486, 13644, 482, 10524, 371, 418, 490, 485, 21550, 485, 29219, 12486, 421, 481, 357, 26166, 14756, 497, 31563, 417, 28187, 31284, 23989, 12486, 692, 21550, 373, 29004, 362, 23989, 274, 7511, 14756, 497, 31563, 13213, 505, 27310, 26406, 496, 31365, 23523, 501, 28996, 4649, 14748, 26406, 496, 31365, 25913, 418, 350, 486, 8147, 10254, 358, 17958, 289, 867, 320, 16583, 30936, 419, 376, 500, 31801, 489, 18777, 350, 28997, 501, 23746, 23523, 501, 288, 18998, 289, 18998, 290, 18998, 291, 7511, 289, 867, 320, 12255, 9463, 488, 26233, 375, 26406, 496, 31365, 14756, 497, 31563, 12486, 692, 13200, 365, 23989, 275, 23746, 419, 509, 354, 18713, 505, 14748, 417, 509, 492, 27747, 480, 7511, 419, 358, 374, 418, 364, 498, 418, 365, 350, 418, 509, 497, 29830, 358, 418, 369, 497, 18021, 355, 26406, 496, 31365, 20992, 16088, 291, 285, 290, 285, 288, 285, 289, 8147, 23746, 25335, 479, 419, 358, 374, 418, 364, 498, 418, 365, 350, 418, 509, 497, 31006, 4970, 354, 19404, 491, 7511, 15159, 291, 417, 509, 492, 27747, 480, 8147, 10429, 370, 418, 361, 350, 15159, 290, 417, 509, 492, 27747, 480, 8147, 26406, 496, 21928, 21588, 361, 4970, 487, 12916, 491, 7511, 15159, 288, 417, 509, 492, 27747, 480, 8147, 26033, 490, 419, 358, 374, 418, 364, 498, 420, 368, 357, 19404, 493, 31006, 417, 354, 377, 7511, 15159, 289, 417, 509, 492, 27747, 480, 12486, 692, 279, 269, 277, 269, 277, 17276, 357, 350, 417, 508, 489, 7511, 13644, 482, 10524, 371, 4970, 492, 26406, 357, 23946, 379, 454, 272, 269, 17276, 357, 350, 417, 508, 489, 7511, 13644, 482, 10524, 371, 692, 21928, 30244, 14748, 25426, 362, 30903, 502, 18809, 8147, 26033, 481, 420, 503, 495, 27962, 418, 364, 498, 418, 365, 350, 418, 509, 497, 29830, 358, 418, 369, 497, 18021, 355, 419, 511, 487, 13644, 482, 10524, 371, 418, 490, 485, 21550, 485, 7511, 2108, 420, 368, 357, 26266, 362, 892, 25520, 2108, 19404, 493, 26266, 362, 892, 7511, 10429, 367, 419, 367, 375, 8147, 19404, 485, 17958, 29072, 20693, 357, 26233, 479, 20693, 510, 23521, 481, 14756, 376, 12571, 486, 13644, 482, 10524, 371, 7511, 25913, 25622, 417, 375, 374, 419, 360, 489, 418, 357, 350, 417, 508, 489, 8147, 31006, 12571, 492, 10254, 358, 17958, 289, 867, 320, 16583, 30936, 23523, 501, 28996, 18713, 505, 14748, 417, 509, 492, 27747, 480, 419, 358, 374, 418, 364, 498, 420, 368, 357, 19404, 493, 7511, 26233, 375, 26406, 496, 31365, 12486, 30244, 13601, 418, 357, 350, 417, 508, 489, 21251, 10524, 483, 10429, 483, 26166, 26033, 481, 420, 503, 495, 29072, 30006, 493, 22047, 18713, 510, 27381, 510, 30006, 493, 22047, 31271, 508, 26233, 356, 7511, 19867, 478, 20069, 26266, 362, 19764, 480, 7511, 25051, 365, 417, 497, 491, 25520, 30853, 17958, 8147, 12916, 379, 23523, 501, 13644, 482, 10524, 371, 14756, 497, 31563, 26175, 495, 27730, 12571, 486, 419, 494, 484, 5405, 505, 26033, 490, 4970, 498, 417, 351, 508, 20693, 510, 29072, 14756, 376, 12571, 486, 13644, 482, 10524, 371, 7511, 14395, 351, 25335, 480, 26233, 356, 8147, 4970, 492, 27936, 27747, 372, 20693, 510, 23521, 481, 25203, 372, 30006, 498, 27962, 27962, 418, 371, 350, 25060, 500, 29072, 4970, 375, 25335, 480, 18713, 510, 27381, 510, 7511, 25051, 365, 417, 497, 491, 12486, 692, 273, 269, 418, 357, 350, 417, 508, 489, 7511, 26406, 357, 23946, 379, 692, 13644, 354, 418, 357, 350, 417, 508, 489, 21251, 10524, 483, 23746, 23284, 26175, 495, 27730, 17295, 364, 13644, 482, 10524, 371, 419, 358, 374, 418, 364, 498, 420, 368, 357, 19404, 493, 25426, 362, 30903, 502, 8147, 13213, 502, 23746, 23284, 26406, 357, 23946, 379, 28996, 418, 364, 368, 420, 368, 357, 13644, 482, 10524, 371, 25426, 362, 30903, 502, 9463, 488, 14756, 493, 418, 369, 492, 18998, 19540, 505, 11590, 489, 419, 511, 487, 30903, 484, 417, 509, 509, 7511, 18777, 372, 14035, 504, 14756, 376, 12571, 486, 13644, 482, 10524, 371, 25426, 362, 30903, 502, 8147, 10429, 371, 20069, 23946, 379, 21796, 505, 7511, 18021, 498, 17958, 476, 10524, 371, 29219, 12486, 692, 31271, 499, 19764, 478, 10429, 357, 24757, 454, 933, 1460, 514, 318, 4510, 280, 5392, 272, 3374, 476, 1708, 271, 268, 5400, 268, 5400, 476, 1691, 281, 1556, 281, 4097, 454, 1892, 476, 273, 269, 5400, 11586, 649, 1460, 514, 318, 4343, 278, 5611, 5400, 476, 1708, 272, 268, 4962, 268, 1556, 476, 2641, 281, 6349, 281, 6021, 454, 1892, 544, 271, 318, 276, 2190, 276, 3451, 1691, 476, 1708, 272, 268, 5881, 268, 1015, 476, 2641, 281, 7367, 281, 6349, 454, 1892, 15593, 787, 299, 7174, 290, 5317, 476, 1001, 280, 268, 4962, 268, 1428, 476, 866, 281, 876, 281, 1724, 454, 1892, 12361, 476, 12255, 29004, 362, 26166, 22909, 494, 26233, 507, 14756, 368, 19867, 360, 25203, 366, 476, 12255, 29004, 362, 26166, 22909, 494, 692, 933, 1460, 514, 318, 275, 3451, 14225, 4792, 476, 1708, 272, 268, 4905, 268, 1691, 476, 6021, 281, 2918, 281, 4510, 454, 1892, 12361, 13127, 509, 374, 30678, 2419, 13228, 564, 26175, 363, 26166, 7511, 4970, 487, 25335, 496, 418, 357, 350, 419, 367, 488, 12255, 14035, 504, 31271, 508, 26233, 356, 19540, 367, 419, 511, 500, 25913, 25622, 9463, 488, 3901, 18350, 18021, 498, 17958, 22614, 362, 501, 25622, 1319, 18350, 22614, 374, 379, 26233, 356, 28786, 12255, 22614, 509, 358, 421, 502, 369, 13127, 488, 357, 26233, 479, 25335, 482, 10254, 496, 692, 342, 329, 344, 343, 671, 476, 1708, 271, 268, 6860, 268, 1321, 476, 6734, 281, 1789, 281, 4649, 454, 1892, 649, 1460, 514, 318, 29876, 278, 4281, 6507, 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 ]
[ 547, 5385, 9343, 543, 9587, 547, 2490, 835, 540, 519, 21870, 883, 519, 824, 1384, 18606, 1962, 1393, 318, 4403, 318, 14142, 10490, 267, 645, 264, 610, 834, 7224, 3070, 1336, 4840, 18606, 454, 18606, 262, 7224, 3070, 1336, 7055, 32526, 258, 589, 811, 3608, 5690, 692, 763, 1490, 1393, 3196, 3406, 5690, 10253, 14605, 269, 1280, 21870, 609, 562, 9343, 543, 544, 9587, 267, 713, 5690, 814, 513, 942, 6988, 540, 692, 302, 3799, 256, 544, 256, 562, 544, 2020, 1607, 1797, 602, 513, 1490, 1393, 3196, 3406, 593, 513, 6292, 540, 476, 278, 676, 476, 278, 21870, 786, 1491, 827, 476, 13670, 267, 1822, 2053, 3476, 982, 593, 513, 6292, 540, 476, 275, 676, 476, 275, 21870, 269, 630, 2414, 2322, 602, 538, 5133, 267, 952, 10478, 476, 275, 676, 476, 275, 21870, 3217, 476, 272, 2034, 267, 1287, 10478, 476, 278, 676, 476, 278, 21870, 786, 1491, 827, 476, 4343, 3108, 24355, 2414, 1711, 513, 5488, 5690, 267, 594, 786, 1711, 513, 28138, 1106, 585, 1142, 7470, 543, 2638, 952, 519, 28138, 3029, 616, 3160, 269, 634, 3804, 540, 713, 568, 1384, 23950, 1749, 602, 666, 581, 5828, 883, 1142, 824, 676, 4737, 15377, 543, 6241, 15377, 723, 519, 1482, 28138, 1106, 780, 2414, 1374, 513, 28138, 1106, 267, 594, 1376, 676, 3168, 513, 12863, 4528, 540, 713, 1966, 281, 10992, 835, 21021, 8638, 630, 13318, 1737, 540, 1079, 21021, 21870, 1040, 6333, 8638, 2387, 320, 319, 543, 2387, 321, 319, 1384, 18606, 320, 815, 1496, 272, 267, 476, 272, 267, 476, 272, 267, 476, 274, 267, 476, 274, 267, 476, 273, 2639, 321, 815, 1496, 274, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 274, 267, 476, 272, 2639, 32526, 2414, 2638, 952, 2387, 320, 319, 543, 2387, 321, 319, 616, 32545, 540, 1142, 824, 267, 594, 1416, 827, 1018, 2609, 789, 723, 267, 855, 711, 519, 1931, 602, 519, 2609, 616, 538, 269, 594, 3513, 946, 513, 10070, 5861, 3300, 1843, 630, 320, 3710, 2987, 6388, 540, 1617, 529, 1115, 264, 547, 5635, 519, 1079, 8638, 1384, 18606, 5228, 10070, 1104, 22388, 692, 290, 3300, 5416, 994, 18606, 454, 18606, 290, 3300, 20719, 272, 281, 476, 274, 267, 476, 274, 281, 476, 273, 267, 476, 273, 281, 476, 272, 348, 994, 18606, 454, 18606, 290, 3300, 6357, 994, 18606, 454, 18606, 290, 3300, 20719, 274, 281, 476, 273, 267, 476, 273, 281, 476, 272, 267, 476, 272, 281, 476, 274, 348, 994, 18606, 454, 18606, 290, 3300, 5416, 264, 2652, 22388, 6357, 994, 18606, 454, 18606, 12148, 454, 32526, 1607, 1374, 666, 581, 6905, 547, 513, 7470, 676, 1210, 1312, 692, 1892, 513, 1617, 529, 564, 540, 4737, 1617, 529, 1115, 267, 543, 454, 1892, 513, 1617, 529, 564, 540, 6241, 1617, 529, 1115, 780, 763, 20932, 3297, 713, 568, 602, 692, 628, 902, 538, 519, 1482, 4737, 3251, 538, 519, 1482, 4737, 1310, 513, 4737, 5385, 610, 513, 6241, 5385, 630, 16838, 1498, 519, 19280, 540, 519, 4737, 949, 1689, 6393, 263, 763, 1482, 568, 3020, 540, 1919, 538, 519, 1482, 6241, 24355, 2080, 781, 513, 5124, 1599, 602, 12958, 513, 1617, 529, 564, 540, 4737, 1617, 529, 1115, 585, 513, 7470, 1384, 18606, 3698, 4737, 8548, 738, 529, 1115, 14116, 5090, 2187, 327, 1662, 762, 318, 290, 3300, 815, 25754, 1535, 281, 8389, 17899, 564, 18154, 3300, 3287, 1040, 19477, 15405, 8873, 22388, 22607, 1662, 762, 318, 290, 3300, 21405, 264, 585, 4737, 538, 7470, 2020, 28186, 815, 1496, 454, 314, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 16689, 314, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 16689, 314, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 16689, 314, 1724, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 2639, 6540, 992, 8548, 738, 529, 1115, 14116, 5090, 994, 18606, 454, 18606, 290, 3300, 263, 19127, 325, 549, 17899, 564, 263, 18950, 272, 267, 476, 272, 1070, 630, 273, 267, 476, 272, 1070, 630, 274, 267, 476, 272, 1070, 630, 275, 267, 476, 272, 14587, 2567, 476, 272, 2676, 325, 549, 17899, 564, 263, 18950, 276, 267, 476, 272, 1070, 630, 277, 267, 476, 272, 1070, 630, 278, 267, 476, 272, 1070, 630, 279, 267, 476, 272, 14587, 2567, 476, 272, 2676, 325, 549, 17899, 564, 263, 18950, 280, 267, 476, 272, 1070, 630, 1015, 267, 476, 272, 1070, 630, 1556, 267, 476, 272, 1070, 630, 1321, 267, 476, 272, 14587, 2567, 476, 272, 2676, 325, 549, 17899, 564, 263, 18950, 1724, 267, 476, 272, 1070, 630, 1691, 267, 476, 272, 1070, 630, 1428, 267, 476, 272, 1070, 630, 1626, 267, 476, 272, 14587, 2567, 476, 272, 454, 348, 994, 32526, 296, 946, 513, 8389, 17899, 564, 1317, 10070, 5861, 3300, 3884, 1405, 19474, 762, 630, 527, 781, 4573, 762, 1040, 4595, 10070, 5861, 3300, 568, 513, 1016, 5035, 540, 9598, 543, 21594, 2154, 602, 10569, 616, 19474, 762, 267, 594, 666, 1405, 2047, 1711, 513, 10070, 5861, 3300, 602, 12523, 21379, 1662, 762, 3615, 780, 18606, 290, 3300, 18154, 3300, 21405, 264, 585, 4737, 538, 7470, 994, 18606, 454, 18606, 9199, 576, 3724, 630, 2865, 2487, 1289, 2063, 2187, 2483, 13911, 13286, 281, 21379, 1662, 762, 1826, 281, 1412, 290, 3300, 7055, 32526, 10303, 594, 1810, 1405, 991, 547, 12189, 519, 10070, 5861, 3300, 3615, 2899, 594, 723, 2813, 873, 267, 606, 2653, 960, 19925, 585, 713, 1966, 568, 547, 2490, 519, 10070, 5861, 3300, 883, 513, 8389, 17899, 564, 540, 8913, 1255, 267, 799, 568, 19474, 762, 780, 2414, 5352, 513, 1617, 529, 564, 540, 9587, 1617, 529, 1115, 267, 594, 666, 19074, 2387, 992, 8548, 738, 529, 1115, 319, 676, 1098, 19397, 519, 7470, 543, 10451, 519, 1617, 529, 564, 540, 4737, 1617, 529, 1115, 269, 630, 763, 9343, 540, 519, 1098, 2821, 616, 519, 9587, 540, 519, 3312, 24355, 18606, 3698, 1098, 2821, 14116, 5090, 2187, 8873, 1592, 9852, 777, 17338, 267, 23407, 28949, 28186, 4297, 2020, 3698, 6241, 8548, 738, 529, 1115, 14116, 5090, 2187, 8873, 4737, 8548, 738, 529, 1115, 6025, 4920, 2821, 14116, 5090, 11723, 26383, 8548, 738, 529, 1115, 14116, 5090, 994, 18606, 454, 18606, 290, 3300, 263, 19127, 325, 549, 17899, 564, 263, 18950, 272, 267, 476, 272, 1070, 630, 276, 267, 476, 272, 1070, 630, 280, 267, 476, 272, 1070, 630, 1724, 267, 476, 272, 14587, 2567, 476, 272, 2676, 325, 549, 17899, 564, 263, 18950, 273, 267, 476, 272, 1070, 630, 277, 267, 476, 272, 1070, 630, 1015, 267, 476, 272, 1070, 630, 1691, 267, 476, 272, 14587, 2567, 476, 272, 2676, 325, 549, 17899, 564, 263, 18950, 274, 267, 476, 272, 1070, 630, 278, 267, 476, 272, 1070, 630, 1556, 267, 476, 272, 1070, 630, 1428, 267, 476, 272, 14587, 2567, 476, 272, 2676, 325, 549, 17899, 564, 263, 18950, 275, 267, 476, 272, 1070, 630, 279, 267, 476, 272, 1070, 630, 1321, 267, 476, 272, 1070, 630, 1626, 267, 476, 272, 14587, 2567, 476, 272, 454, 348, 994, 32526, 2080, 781, 875, 547, 5581, 513, 28138, 1106, 267, 1210, 2387, 992, 8548, 738, 529, 1115, 13237, 543, 2387, 26383, 8548, 738, 529, 1115, 13237, 1384, 18606, 3698, 28138, 318, 845, 14116, 5090, 2187, 8873, 4737, 8548, 738, 529, 1115, 14116, 5090, 1070, 6241, 8548, 738, 529, 1115, 14116, 5090, 994, 32526, 4517, 2016, 519, 1079, 21870, 689, 519, 1966, 3948, 1384, 18606, 288, 815, 1496, 454, 314, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 16689, 314, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 16689, 314, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 16689, 314, 1724, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 2639, 6540, 289, 815, 1496, 454, 314, 1321, 267, 476, 1015, 267, 476, 1556, 267, 476, 280, 16689, 314, 1626, 267, 476, 1691, 267, 476, 276, 267, 476, 1724, 16689, 314, 279, 267, 476, 277, 267, 476, 278, 267, 476, 1428, 16689, 314, 275, 267, 476, 273, 267, 476, 274, 267, 476, 272, 2639, 2639, 32526, 296, 5635, 519, 28138, 3029, 543, 6166, 602, 789, 1810, 1405, 6474, 1384, 18606, 4754, 517, 673, 318, 845, 10490, 264, 2652, 28138, 318, 845, 16360, 994, 18606, 454, 18606, 16178, 454, 32526, 2690, 21870, 609, 562, 9343, 543, 544, 9587, 267, 7384, 519, 28138, 1106, 814, 513, 942, 6988, 540, 692, 302, 3799, 544, 2020, 3383, 713, 1505, 10253, 1454, 1732, 982, 519, 1490, 1393, 3196, 3406, 780, 258, 769, 3932, 13718, 27778, 1393, 3196, 3435, 949, 711, 4336, 1134, 267, 855, 789, 616, 2356, 2653, 547, 2936, 269, 4804, 875, 547, 7447, 519, 23812, 540, 513, 1490, 1393, 3196, 1935, 568, 513, 3730, 5578, 269, 1879, 513, 1490, 1393, 3196, 4480, 568, 711, 1434, 2614, 267, 2015, 8204, 707, 1239, 538, 513, 1114, 1259, 630, 324, 3052, 269, 513, 28138, 1106, 264, 547, 1450, 585, 513, 811, 3608, 5690, 780, 2080, 781, 1250, 4161, 547, 596, 1384, 2521, 547, 1374, 1776, 28138, 1106, 630, 13318, 1737, 540, 513, 1617, 529, 564, 540, 1617, 529, 1115, 264, 602, 2636, 596, 547, 1711, 1776, 3608, 3070, 547, 519, 834, 305, 578, 4211, 565, 4379, 16510, 257, 1966, 780, 2252, 596, 10150, 2542, 713, 267, 2671, 621, 609, 707, 2828, 543, 3251, 22934, 585, 1985, 3018, 781, 2022, 269, 6423, 596, 1287, 256, 0, 258, 1548, 786, 581, 519, 7623, 1719, 593, 12652, 269, 476, 8182, 876, 693, 476, 1015, 260, 829, 3045, 636, 585, 476, 272, 1032, 952, 519, 1719, 568, 2628, 762, 3368, 21496, 2496, 1607, 2243, 729, 5892, 4280, 538, 454, 289, 8811, 541, 5254, 4953, 570, 28566, 630, 13043, 338, 264, 24722, 7433, 16927, 630, 13900, 323, 2201, 281, 476, 6860, 20029, 267, 476, 1708, 274, 29196, 476, 273, 994, 8698, 782, 4437, 9618, 5254, 4953, 14430, 28825, 272, 269, 12652, 269, 1109, 8182, 271, 454, 273, 269, 12652, 269, 1109, 13932, 271, 454, 274, 269, 12652, 269, 1109, 10204, 271, 454, 275, 269, 12652, 269, 1109, 14690, 271, 692, 29682, 476, 273, 2433, 12652, 269, 1109, 13932, 271, 454, 10403, 454, 289, 8811, 541, 5254, 4953, 7433, 476, 272, 9119, 9509, 4530, 476, 272, 454, 1556, 269, 279, 918, 20305, 454, 5611, 5999, 476, 5611, 29485, 476, 5611, 631, 1231, 692, 1012, 26346, 8827, 692, 3519, 1061, 910, 692, 763, 4542, 547, 5173, 7623, 1719, 31903, 3368, 4458, 569, 568, 1384, 2330, 288, 815, 623, 1422, 9392, 1422, 3847, 263, 272, 1341, 1422, 2765, 346, 337, 2410, 333, 4153, 2431, 22722, 333, 1422, 9392, 512, 15732, 8489, 912, 288, 568, 519, 2179, 1310, 512, 1296, 454, 303, 568, 519, 9030, 2179, 630, 30976, 2179, 1916, 337, 568, 519, 5993, 1719, 2557, 563, 333, 568, 519, 1297, 540, 2053, 519, 1719, 568, 31903, 829, 1032, 563, 339, 568, 519, 942, 519, 2724, 568, 16539, 585, 538, 1296, 780, 15008, 10778, 32459, 7625, 2179, 623, 815, 12652, 269, 476, 8182, 876, 454, 25486, 783, 1719, 2557, 678, 815, 476, 1015, 260, 829, 3045, 636, 454, 11742, 512, 815, 476, 272, 1032, 454, 19950, 568, 31903, 10859, 268, 2335, 1302, 267, 865, 562, 815, 476, 273, 630, 13512, 823, 513, 1032, 2020, 4131, 781, 11690, 519, 2418, 883, 519, 4542, 547, 1265, 519, 7623, 1719, 1384, 2330, 288, 815, 476, 8182, 876, 1422, 9392, 1422, 3847, 263, 272, 1341, 1422, 2765, 346, 1015, 2410, 273, 1422, 9392, 476, 1911, 4153, 2431, 22722, 273, 1422, 9392, 476, 272, 15732, 2330, 288, 815, 476, 8182, 876, 1422, 9392, 1422, 3847, 263, 272, 1341, 1422, 2765, 346, 271, 269, 1015, 2410, 273, 4153, 2431, 8203, 273, 16465, 2330, 288, 815, 476, 8182, 876, 1422, 9392, 1422, 3847, 263, 272, 1341, 476, 271, 269, 4962, 9368, 8203, 273, 16465, 2330, 288, 815, 476, 8182, 876, 1422, 9392, 630, 272, 269, 4962, 8203, 273, 16465, 288, 9881, 486, 476, 12293, 2412, 692, 763, 2179, 1310, 835, 1032, 609, 7623, 1719, 568, 5111, 12652, 269, 476, 12293, 2412, 780, 3086, 267, 547, 1265, 519, 7623, 1719, 1384, 15253, 895, 9314, 815, 2549, 870, 1310, 512, 1296, 910, 25867, 2549, 870, 454, 15253, 895, 9314, 815, 476, 12293, 2412, 910, 476, 8182, 876, 454, 15253, 895, 9314, 815, 476, 13932, 271, 692, 11997, 267, 519, 7623, 1719, 593, 12652, 269, 476, 8182, 876, 693, 476, 1015, 260, 829, 3045, 636, 585, 476, 272, 1032, 267, 31903, 10859, 268, 2335, 1302, 267, 568, 12652, 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 ]
[ 0, 18411, 21698, 3178, 454, 18257, 692, 3698, 4463, 20172, 2187, 14851, 3597, 2652, 7183, 912, 453, 16596, 476, 271, 8528, 453, 3847, 5334, 889, 29728, 318, 19417, 815, 4463, 20172, 16000, 994, 453, 2431, 5334, 889, 29728, 318, 19417, 815, 4463, 20172, 16192, 2020, 16596, 3193, 263, 3847, 5334, 889, 29728, 318, 19417, 267, 1318, 5334, 889, 29728, 318, 19417, 264, 1341, 476, 272, 7531, 0, 258, 5814, 28189, 454, 5228, 28189, 1104, 14449, 454, 258, 5814, 28189, 269, 31371, 321, 2293, 454, 5228, 28189, 269, 31371, 26092, 1104, 918, 10468, 662, 26092, 12218, 8595, 692, 12163, 10059, 2517, 326, 603, 889, 2593, 4882, 857, 18145, 268, 16753, 4882, 857, 18145, 268, 16753, 270, 4565, 984, 8276, 2120, 4882, 330, 16753, 270, 31371, 26092, 270, 5035, 2305, 18258, 454, 12163, 12163, 2704, 326, 3596, 332, 910, 28070, 20028, 563, 3698, 552, 16090, 22470, 291, 2700, 263, 27349, 272, 267, 3236, 273, 267, 3259, 2187, 825, 3845, 815, 476, 271, 454, 825, 585, 1535, 538, 2039, 10857, 2654, 2187, 1038, 3845, 6834, 4073, 9230, 27349, 272, 20572, 316, 910, 3236, 273, 20572, 25818, 476, 273, 994, 825, 2132, 2979, 28460, 5560, 2700, 2020, 303, 9438, 9577, 563, 3698, 1205, 10468, 662, 26092, 6025, 20995, 13729, 267, 1449, 9743, 766, 267, 737, 2187, 825, 9883, 815, 11713, 825, 3259, 815, 7003, 6025, 652, 9743, 766, 9984, 272, 454, 825, 585, 1535, 538, 2039, 12759, 6025, 20995, 13729, 15892, 1038, 1253, 815, 552, 16090, 22470, 291, 2700, 6025, 652, 9743, 766, 267, 2866, 13729, 20572, 3910, 3259, 994, 1038, 9883, 6910, 9230, 10177, 1456, 13729, 20572, 3910, 1253, 4917, 825, 9883, 31699, 31107, 284, 28072, 269, 14403, 1326, 614, 263, 272, 4917, 825, 12543, 815, 11713, 825, 585, 1535, 538, 2039, 17347, 2187, 1038, 12543, 6910, 5560, 626, 1734, 20572, 6012, 271, 7481, 825, 2132, 12543, 454, 12163, 258, 4452, 32640, 10471, 689, 28189, 454, 597, 529, 815, 14449, 269, 2903, 318, 597, 529, 10797, 258, 17551, 606, 3236, 540, 519, 918, 13585, 29976, 1362, 609, 519, 1871, 540, 918, 454, 330, 25699, 815, 918, 10468, 662, 26092, 12218, 8595, 3799, 318, 31371, 26092, 284, 277, 2020, 258, 28546, 519, 2203, 609, 2866, 1239, 543, 3077, 2418, 454, 330, 25699, 32265, 263, 597, 529, 9131, 11907, 28710, 32640, 9131, 339, 13759, 11172, 2020, 258, 1683, 1239, 4171, 1362, 10297, 616, 547, 581, 10567, 454, 311, 815, 1496, 454, 825, 1496, 276, 269, 280, 267, 476, 272, 269, 271, 267, 476, 276, 269, 272, 267, 476, 272, 269, 279, 16689, 825, 1496, 274, 269, 275, 267, 476, 273, 269, 271, 267, 476, 272, 269, 272, 267, 476, 275, 269, 279, 16689, 6540, 258, 16493, 519, 1239, 3177, 454, 2745, 11583, 2020, 258, 4558, 10567, 1362, 10297, 540, 2473, 454, 335, 1042, 2109, 815, 5679, 333, 4877, 9438, 11583, 2020, 258, 1820, 519, 10567, 1362, 10297, 540, 2473, 454, 2745, 9638, 1042, 2109, 994, 0, 5897, 18851, 1477, 31973, 269, 6348, 27492, 331, 6260, 3955, 10094, 5897, 11693, 606, 5044, 540, 11996, 11996, 1141, 11996, 5157, 316, 815, 1496, 11034, 328, 267, 1439, 328, 3910, 2132, 519, 5934, 1297, 540, 11996, 596, 991, 547, 4894, 547, 1118, 519, 1964, 540, 519, 11996, 1875, 27492, 331, 6260, 269, 5897, 476, 5897, 7078, 476, 272, 281, 5897, 19152, 281, 11996, 815, 20886, 272, 267, 273, 25662, 273, 267, 274, 25662, 274, 267, 275, 25662, 272, 267, 274, 14963, 1477, 20479, 281, 476, 272, 1477, 15008, 281, 1496, 272, 267, 274, 316, 666, 581, 6569, 543, 519, 1964, 540, 519, 11996, 616, 1875, 27492, 331, 6260, 269, 5897, 7078, 476, 273, 6769, 19152, 281, 11996, 815, 20886, 272, 267, 273, 25662, 272, 267, 273, 25662, 272, 267, 273, 14963, 1477, 20479, 281, 476, 273, 1477, 15008, 281, 1411, 991, 547, 4894, 1079, 1496, 272, 267, 273, 316, 547, 1118, 519, 1964, 540, 519, 11996, 1875, 27492, 331, 6260, 269, 5897, 7078, 476, 274, 6769, 19152, 281, 11996, 815, 20886, 272, 267, 273, 25662, 273, 267, 274, 14963, 1477, 20479, 281, 476, 271, 1477, 15008, 281, 1411, 1810, 1405, 991, 547, 4894, 1022, 540, 519, 11996, 2094, 789, 2811, 2907, 1875, 27492, 331, 6260, 23228, 476, 5897, 3519, 14259, 6493, 6769, 272, 10922, 11996, 32324, 10922, 476, 273, 2608, 476, 10441, 1477, 5793, 10094, 5157, 4940, 26319, 2652, 476, 273, 1477, 268, 273, 2608, 476, 10441, 10922, 1376, 328, 2999, 1439, 328, 10922, 476, 273, 2608, 476, 10441, 5897, 5897, 18851, 5897, 5035, 8827, 6769, 825, 1219, 32135, 7021, 331, 777, 11328, 10094, 4311, 267, 11996, 8029, 1038, 952, 711, 11996, 281, 2132, 476, 271, 1477, 1038, 11996, 31699, 263, 1883, 815, 25754, 521, 2433, 521, 314, 272, 29573, 1038, 1820, 263, 5793, 10094, 3418, 1038, 1775, 267, 795, 815, 476, 271, 267, 476, 272, 1477, 1038, 1293, 815, 476, 271, 1477, 1038, 1247, 795, 2999, 7003, 263, 5793, 10094, 8029, 2018, 952, 11996, 5157, 6012, 272, 316, 3436, 11996, 14728, 6012, 271, 13912, 476, 1948, 6772, 12686, 1063, 519, 1439, 5157, 316, 543, 1376, 5157, 266, 272, 15947, 3546, 1820, 263, 5793, 10094, 5157, 3910, 11996, 14728, 29573, 3546, 1293, 6834, 476, 272, 1477, 3546, 795, 6834, 476, 272, 1477, 2018, 3116, 6769, 3546, 1775, 815, 795, 1477, 3546, 795, 6834, 476, 272, 1477, 1038, 2132, 1293, 5897, 5897, 5897, 258, 5793, 10094, 815, 20886, 272, 267, 273, 25662, 273, 267, 274, 25662, 274, 267, 275, 25662, 272, 267, 274, 14963, 1477, 258, 5793, 10094, 815, 20886, 272, 267, 273, 25662, 272, 267, 273, 25662, 272, 267, 273, 14963, 1477, 258, 5793, 10094, 815, 20886, 272, 267, 273, 25662, 273, 267, 274, 14963, 1477, 258, 5793, 10094, 815, 20886, 272, 267, 1911, 25662, 1556, 267, 2420, 25662, 272, 267, 1556, 25662, 273, 267, 1321, 14963, 476, 1948, 1401, 4624, 281, 273, 1477, 258, 5793, 10094, 815, 20886, 271, 267, 273, 25662, 272, 267, 274, 25662, 273, 267, 275, 25662, 274, 267, 276, 25662, 275, 267, 277, 14963, 1948, 1401, 4624, 281, 273, 1477, 5793, 10094, 815, 20886, 272, 267, 273, 25662, 273, 267, 274, 25662, 274, 267, 275, 3910, 15631, 1911, 16427, 273, 25662, 276, 267, 278, 14963, 1948, 1401, 4624, 281, 271, 5897, 22069, 815, 8827, 14052, 2745, 263, 22069, 269, 518, 848, 7021, 331, 777, 11328, 10094, 263, 5793, 10094, 17903, 0, 454, 3698, 6460, 15461, 18425, 1181, 1049, 318, 8971, 263, 916, 529, 323, 333, 267, 2197, 6831, 1712, 8782, 2767, 262, 2187, 825, 23288, 825, 570, 1845, 547, 6460, 519, 9049, 3041, 291, 301, 547, 3486, 3898, 563, 825, 6201, 912, 825, 2608, 6460, 15461, 18425, 1181, 1049, 318, 8971, 3488, 5881, 274, 11277, 27174, 278, 3299, 1412, 2767, 10807, 7024, 454, 825, 1412, 28071, 24374, 24833, 6858, 23823, 825, 2608, 6460, 15461, 18425, 1181, 1049, 318, 8971, 3488, 266, 28071, 24374, 24833, 6858, 3299, 1412, 2767, 10807, 7024, 454, 825, 1412, 28071, 24374, 24833, 6858, 23823, 825, 23288, 825, 952, 544, 3974, 323, 333, 269, 11034, 1873, 603, 3488, 22065, 2187, 1038, 2132, 544, 3974, 323, 333, 7456, 29328, 3488, 266, 5073, 825, 8640, 544, 3974, 323, 333, 269, 11034, 1873, 603, 3488, 271, 262, 2187, 1038, 2132, 1412, 260, 338, 260, 338, 262, 4939, 630, 12248, 787, 6831, 1712, 267, 544, 3974, 323, 333, 314, 272, 281, 7481, 825, 2132, 544, 3974, 323, 333, 454, 0, 5814, 1770, 11687, 692, 5228, 29746, 527, 269, 785, 550, 1104, 1473, 550, 7531, 5035, 4530, 5715, 550, 263, 684, 8636, 652, 11053, 652, 19111, 17107, 825, 1219, 1305, 10000, 4311, 2187, 1038, 1582, 11519, 785, 550, 5091, 3704, 815, 476, 279, 454, 1038, 1582, 11519, 785, 550, 318, 11898, 14516, 815, 25023, 692, 825, 1219, 1449, 318, 4944, 2167, 4311, 2187, 1038, 25034, 815, 1473, 550, 5560, 3704, 284, 1345, 11519, 785, 550, 5091, 3704, 2676, 13376, 2230, 14516, 284, 1345, 11519, 785, 550, 318, 11898, 14516, 2020, 1038, 1582, 27863, 263, 785, 550, 4732, 335, 2167, 19572, 1582, 11519, 785, 550, 318, 11898, 14516, 2608, 476, 271, 994, 1038, 609, 25034, 912, 2018, 1582, 27863, 263, 785, 550, 4732, 335, 2167, 19572, 1582, 11519, 785, 550, 318, 11898, 14516, 2608, 1582, 11519, 785, 550, 5091, 3704, 994, 1038, 1582, 27863, 263, 785, 550, 4732, 335, 2167, 19572, 1582, 11519, 785, 550, 318, 11898, 14516, 2608, 476, 271, 994, 0, 18257, 1247, 8520, 23288, 258, 14805, 566, 815, 476, 271, 1948, 476, 1428, 267, 476, 276, 692, 258, 585, 1775, 538, 2039, 263, 272, 267, 476, 277, 264, 10778, 258, 476, 453, 8999, 332, 566, 6834, 1775, 8528, 258, 1820, 4433, 17026, 566, 2020, 258, 1297, 815, 476, 271, 454, 258, 585, 1297, 538, 2039, 263, 272, 267, 1556, 2187, 258, 476, 13537, 2891, 15893, 568, 281, 14307, 1297, 2073, 834, 265, 476, 273, 815, 14307, 1297, 2608, 476, 273, 25589, 258, 1297, 815, 476, 272, 454, 258, 1247, 1297, 10922, 476, 1015, 912, 258, 476, 13537, 2891, 10831, 568, 281, 14307, 1297, 2073, 834, 265, 476, 273, 815, 2580, 15893, 2608, 273, 994, 258, 476, 453, 15893, 6834, 476, 272, 692, 258, 585, 1775, 538, 2039, 263, 272, 267, 1556, 2187, 258, 476, 13537, 9217, 2437, 343, 476, 273, 815, 257, 2073, 328, 265, 273, 2020, 258, 1104, 14854, 692, 258, 14854, 4732, 32497, 263, 272, 2020, 258, 585, 1775, 538, 2039, 263, 736, 2187, 258, 672, 14854, 269, 3453, 263, 1428, 994, 258, 672, 14854, 4877, 523, 1575, 4590, 258, 672, 14854, 269, 3453, 263, 272, 994, 258, 672, 14854, 4877, 754, 1144, 10797, 258, 14854, 20216, 527, 517, 28781, 10797, 258, 689, 14854, 1104, 27661, 258, 2681, 3488, 326, 2001, 3299, 1412, 344, 3641, 3299, 994, 258, 2253, 6958, 650, 4590, 258, 1247, 6936, 912, 258, 672, 4464, 263, 1220, 994, 258, 672, 2451, 263, 10204, 994, 258, 672, 952, 2612, 263, 1842, 28829, 2999, 476, 272, 912, 258, 1363, 2736, 454, 258, 1439, 6958, 650, 4590, 258, 2944, 4590, 258, 1104, 14854, 692, 258, 14854, 17482, 2891, 339, 31103, 5602, 258, 14854, 4732, 32497, 263, 272, 2020, 258, 585, 2427, 28747, 538, 2039, 263, 2004, 267, 476, 1911, 267, 476, 1015, 2187, 258, 672, 585, 1775, 538, 2039, 263, 275, 2187, 258, 1363, 14854, 269, 3453, 263, 2515, 28747, 994, 258, 1363, 14854, 16000, 263, 3445, 2020, 258, 14854, 20216, 527, 517, 28781, 10797, 5814, 14854, 692, 321, 984, 815, 14854, 11053, 31103, 4590, 321, 984, 269, 3453, 263, 736, 994, 321, 984, 16192, 263, 3445, 994, 321, 984, 269, 3453, 263, 1220, 994, 321, 984, 16192, 263, 3445, 994, 321, 984, 269, 3453, 263, 736, 994, 321, 984, 16192, 263, 3445, 994, 321, 984, 269, 3453, 263, 3445, 994, 321, 984, 16000, 263, 3445, 994, 321, 984, 269, 3453, 263, 2004, 994, 321, 984, 16000, 263, 3445, 994, 321, 984, 269, 3453, 263, 3445, 994, 321, 984, 16192, 263, 3445, 994, 321, 984, 269, 3453, 263, 736, 994, 321, 984, 16192, 263, 3445, 994, 321, 984, 269, 3453, 263, 1220, 994, 321, 984, 16192, 263, 3445, 994, 321, 984, 269, 3453, 263, 736, 994, 321, 984, 16192, 263, 3445, 994, 321, 984, 269, 3453, 263, 3445, 994, 321, 984, 16000, 263, 3445, 994, 321, 984, 269, 3453, 263, 2004, 994, 321, 984, 16000, 263, 3445, 994, 321, 984, 269, 3453, 263, 3445, 2020, 692, 339, 31103, 6155, 821, 3890, 0, 5814, 30220, 454, 5228, 30220, 1104, 30220, 454, 5814, 942, 454, 5228, 10070, 1104, 9949, 18743, 7531, 5035, 8433, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 15161, 318, 11529, 815, 31460, 1038, 1948, 513, 2594, 540, 875, 1082, 3108, 1142, 9441, 814, 5249, 693, 713, 5604, 454, 1038, 1948, 2715, 15553, 20311, 281, 2715, 655, 1943, 2465, 281, 27883, 11034, 22710, 267, 1439, 22710, 264, 1862, 316, 3686, 454, 1038, 1582, 28333, 5334, 18694, 815, 9949, 18743, 10857, 10033, 281, 9949, 18743, 17338, 11723, 825, 1219, 1376, 318, 11529, 318, 1721, 4311, 267, 1268, 2187, 1038, 1582, 269, 15161, 318, 11529, 314, 17367, 20508, 316, 815, 1268, 454, 1038, 1948, 1039, 1376, 942, 547, 2053, 18694, 454, 1038, 1699, 5091, 622, 815, 30220, 269, 852, 4590, 1038, 1582, 28333, 5334, 18694, 314, 9690, 5091, 622, 18994, 5914, 9725, 3890, 314, 272, 316, 6012, 17367, 20508, 4940, 6572, 8443, 323, 520, 8135, 269, 852, 3890, 20285, 825, 1219, 9096, 318, 11529, 318, 1721, 4311, 267, 1268, 2187, 1038, 1582, 269, 15161, 318, 11529, 21014, 9638, 3205 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3528, 7603, 517, 24982, 10011, 549, 563, 763, 3069, 540, 4838, 281, 519, 5396, 454, 763, 11802, 540, 519, 6739, 7169, 711, 1152, 8118, 519, 22184, 540, 24180, 26201, 4619, 528, 13124, 282, 621, 849, 3964, 513, 17565, 585, 31767, 3069, 563, 1607, 4838, 729, 1291, 676, 513, 11832, 779, 12316, 5428, 3710, 1282, 519, 3105, 476, 1691, 1296, 267, 9624, 513, 3126, 540, 9620, 267, 4507, 543, 6436, 602, 5693, 3989, 922, 3741, 543, 6859, 563, 2005, 729, 513, 5428, 3710, 585, 12316, 2962, 267, 4171, 6662, 729, 519, 2921, 540, 5295, 676, 519, 2324, 1362, 538, 6576, 267, 538, 1931, 547, 1599, 607, 513, 11573, 585, 519, 1158, 4838, 269, 898, 729, 267, 538, 513, 1906, 1913, 267, 513, 11832, 779, 267, 12316, 267, 3486, 626, 5428, 269, 634, 1034, 1271, 1193, 517, 724, 1245, 540, 713, 5428, 729, 519, 8378, 540, 966, 756, 3073, 267, 519, 5458, 11832, 8378, 540, 8891, 5766, 2784, 563, 763, 824, 16502, 540, 519, 6739, 7169, 729, 519, 4853, 2324, 1362, 269, 769, 513, 21739, 989, 337, 4115, 2197, 267, 799, 729, 27153, 538, 513, 1158, 2112, 538, 799, 621, 1185, 1100, 1483, 4960, 547, 581, 513, 851, 267, 1813, 547, 922, 693, 822, 2065, 18807, 1145, 267, 519, 5266, 1507, 855, 1379, 2685, 13671, 6739, 2324, 1362, 729, 519, 2599, 540, 519, 4838, 267, 922, 796, 23896, 762, 642, 1481, 731, 267, 1951, 21794, 3297, 621, 513, 2527, 540, 17237, 267, 2244, 2173, 611, 27998, 267, 543, 7980, 267, 1082, 540, 873, 27998, 1951, 13949, 883, 2112, 1510, 9604, 610, 25192, 267, 799, 1100, 3476, 16004, 547, 5884, 585, 513, 2014, 799, 729, 711, 741, 338, 563, 2690, 519, 12316, 14100, 1235, 267, 713, 729, 519, 21533, 602, 519, 24180, 4838, 1131, 581, 513, 6857, 4838, 282, 865, 267, 621, 1131, 581, 3366, 676, 2797, 3919, 540, 519, 2324, 1362, 267, 6109, 543, 5676, 1441, 267, 609, 513, 2312, 1982, 602, 568, 4082, 540, 922, 4247, 269, 901, 968, 335, 11823, 1641, 5608, 519, 12157, 9917, 341, 1731, 15178, 5428, 267, 1131, 1291, 606, 4853, 2324, 1362, 267, 799, 1131, 10891, 538, 5646, 15078, 267, 865, 12858, 1115, 610, 1776, 11180, 11248, 540, 519, 2324, 1362, 630, 7945, 607, 12051, 26639, 1070, 799, 1131, 581, 519, 968, 25791, 1641, 892, 540, 519, 4838, 267, 642, 1481, 731, 540, 782, 519, 23699, 543, 31345, 563, 6944, 9009, 547, 1018, 4013, 543, 23237, 626, 2351, 25086, 3081, 267, 519, 26201, 602, 3357, 19952, 7368, 593, 513, 3152, 610, 14758, 4110, 519, 6739, 1995, 563, 763, 23826, 267, 4436, 267, 7969, 543, 5053, 26201, 1354, 2622, 2782, 4083, 267, 543, 519, 12157, 643, 1014, 1310, 267, 547, 2446, 513, 1906, 1806, 267, 7368, 519, 6228, 540, 891, 1079, 5396, 630, 335, 11823, 543, 1514, 1070, 543, 8959, 5631, 1317, 835, 540, 519, 14406, 519, 13393, 1496, 5976, 4641, 316, 610, 729, 711, 851, 540, 621, 538, 519, 2556, 17114, 563, 763, 3069, 540, 4838, 281, 519, 4247, 454, 4913, 267, 519, 4838, 849, 10953, 689, 1776, 3693, 281, 519, 4247, 621, 9333, 1389, 269, 1924, 267, 3564, 519, 5396, 540, 519, 4838, 267, 972, 616, 519, 4247, 540, 519, 4838, 269, 1452, 4247, 1689, 689, 2197, 547, 2197, 269, 769, 513, 2197, 540, 18807, 24041, 1646, 267, 519, 4305, 666, 581, 267, 585, 1383, 267, 2244, 6963, 610, 7115, 269, 898, 568, 2556, 547, 798, 513, 4838, 593, 891, 1079, 3344, 282, 621, 1797, 519, 536, 28123, 12251, 773, 540, 713, 2197, 729, 8572, 547, 9585, 971, 4247, 269, 634, 4838, 786, 1287, 581, 1996, 519, 15194, 536, 28123, 12251, 773, 563, 2414, 1491, 713, 4305, 782, 519, 1259, 267, 519, 4838, 267, 1247, 621, 949, 2253, 1369, 519, 5943, 540, 1496, 1492, 711, 12913, 316, 536, 28123, 12251, 4247, 267, 786, 3914, 922, 11802, 602, 536, 28123, 12251, 773, 269, 634, 1482, 4422, 585, 22030, 269, 1280, 513, 1279, 942, 1631, 267, 538, 1100, 851, 540, 519, 1158, 621, 568, 2009, 547, 2936, 513, 2244, 6963, 602, 1281, 711, 13720, 11440, 2065, 9922, 282, 1454, 1447, 547, 20630, 3084, 7115, 267, 799, 568, 1152, 2009, 676, 6849, 267, 10502, 267, 22030, 3294, 563, 1103, 971, 2013, 267, 1256, 896, 513, 4620, 527, 1532, 28123, 12251, 5718, 543, 609, 513, 1114, 1496, 25791, 316, 1641, 982, 519, 605, 2280, 30353, 267, 519, 4838, 1223, 3914, 519, 1163, 10187, 566, 540, 519, 536, 28123, 12251, 773, 543, 8237, 609, 519, 22030, 563, 307, 12783, 5652, 267, 538, 519, 21846, 531, 5358, 267, 3081, 4010, 602, 281, 968, 2005, 568, 2705, 7543, 547, 20912, 5693, 543, 1354, 19942, 569, 519, 7811, 7872, 602, 267, 896, 519, 3310, 540, 513, 4999, 540, 11108, 6381, 630, 8705, 267, 14710, 267, 2883, 2736, 267, 12316, 18086, 540, 519, 13999, 267, 3092, 13776, 519, 4620, 527, 1532, 28123, 12251, 6105, 267, 1519, 519, 23237, 626, 3283, 267, 666, 979, 2417, 982, 789, 4941, 538, 519, 2619, 540, 8840, 609, 519, 536, 28123, 12251, 773, 9731, 763, 23162, 2013, 454, 1432, 5949, 538, 18010, 267, 607, 538, 824, 989, 337, 4115, 543, 1884, 545, 565, 11102, 26201, 267, 729, 10502, 713, 269, 634, 3810, 12691, 8367, 602, 570, 12783, 5652, 19528, 3357, 547, 1780, 269, 634, 2797, 3919, 3056, 519, 23162, 7169, 267, 519, 631, 2918, 267, 729, 513, 6093, 4620, 527, 1532, 28123, 12251, 3919, 267, 7620, 1053, 543, 6107, 2861, 267, 799, 1310, 519, 4098, 540, 519, 1368, 20482, 8759, 543, 609, 606, 1271, 4835, 6560, 602, 16768, 2394, 476, 3422, 273, 267, 7444, 17146, 922, 4099, 540, 1379, 689, 519, 23617, 547, 519, 15113, 563, 2026, 519, 1368, 20482, 8759, 6591, 2215, 2329, 936, 519, 4683, 17102, 540, 519, 631, 2918, 267, 922, 2497, 729, 1256, 811, 2113, 10560, 1242, 267, 8380, 606, 1439, 547, 4835, 9111, 269, 4746, 1813, 547, 519, 4110, 540, 10539, 267, 18801, 730, 538, 1082, 2665, 267, 519, 1966, 540, 519, 2797, 1982, 4503, 2956, 538, 6935, 547, 519, 1368, 518, 8759, 5759, 269, 4258, 717, 826, 341, 4673, 267, 538, 513, 9880, 540, 519, 19797, 9549, 1282, 519, 1368, 20482, 8759, 267, 1767, 519, 623, 9915, 729, 5827, 540, 2870, 20017, 637, 602, 12703, 569, 5706, 539, 25711, 267, 855, 2760, 547, 1711, 513, 20017, 516, 5827, 540, 14213, 532, 513, 3684, 7784, 9566, 267, 607, 952, 713, 729, 519, 1966, 540, 23237, 1143, 563, 24916, 267, 519, 1514, 1641, 540, 519, 23162, 7169, 729, 711, 519, 4853, 605, 2280, 30353, 267, 855, 519, 4057, 32066, 787, 543, 267, 2687, 547, 930, 2090, 267, 519, 6917, 605, 2280, 30353, 543, 10859, 605, 2280, 30353, 563, 5415, 982, 513, 1134, 20452, 2797, 1788, 267, 4358, 609, 519, 5718, 267, 2509, 1163, 10187, 908, 519, 536, 28123, 12251, 773, 543, 8840, 609, 22030, 267, 621, 729, 519, 3510, 267, 519, 4305, 602, 519, 4838, 18796, 267, 602, 3366, 547, 513, 12316, 6364, 563, 2026, 649, 723, 11329, 856, 538, 519, 1079, 3105, 4930, 267, 621, 729, 519, 25793, 4770, 540, 519, 4247, 540, 519, 4838, 282, 519, 989, 337, 4115, 2243, 543, 519, 2243, 540, 3084, 19802, 282, 519, 703, 4920, 580, 775, 540, 519, 2136, 2276, 540, 3013, 267, 519, 6228, 540, 29904, 7806, 1242, 4518, 518, 2276, 267, 1018, 4847, 519, 23162, 5718, 547, 13918, 538, 606, 13591, 3510, 267, 799, 6941, 1946, 538, 519, 1439, 267, 543, 1996, 922, 786, 267, 971, 5718, 8694, 909, 1163, 10187, 908, 519, 536, 28123, 12251, 773, 563, 4913, 267, 519, 32475, 4843, 1934, 1185, 741, 2360, 269, 1284, 1616, 547, 2253, 519, 4901, 593, 1079, 540, 873, 281, 519, 3666, 540, 519, 1368, 20482, 8759, 267, 543, 519, 11808, 540, 16851, 538, 18010, 269, 5637, 616, 4448, 547, 519, 1641, 649, 616, 7234, 538, 713, 2376, 563, 763, 1198, 540, 519, 23162, 11802, 538, 519, 5824, 1977, 543, 1158, 2451, 26310, 454, 763, 11802, 540, 519, 23162, 7169, 267, 609, 922, 1762, 267, 28278, 267, 512, 13593, 3401, 267, 1500, 513, 2620, 1764, 538, 519, 1158, 543, 5824, 1977, 2451, 269, 9578, 267, 621, 1185, 513, 30137, 1198, 593, 23237, 1143, 563, 7212, 621, 568, 3020, 602, 519, 8168, 268, 7955, 539, 8713, 338, 267, 799, 29846, 519, 1899, 540, 533, 6680, 30398, 543, 513, 533, 6680, 1259, 547, 25847, 267, 543, 799, 941, 2907, 9624, 513, 6433, 267, 1185, 713, 6433, 2620, 2989, 676, 519, 5920, 540, 10011, 337, 1143, 630, 663, 922, 2451, 26310, 14583, 267, 717, 826, 12534, 1143, 1070, 519, 1482, 3112, 581, 1767, 540, 23237, 1143, 607, 513, 2898, 563, 4131, 721, 2491, 269, 634, 8713, 338, 267, 2523, 741, 31655, 855, 711, 1152, 267, 4503, 7366, 543, 7366, 540, 17740, 1218, 543, 20017, 637, 543, 30403, 12018, 519, 1739, 5481, 267, 7064, 547, 519, 6228, 540, 713, 1007, 12402, 1496, 290, 770, 337, 1143, 316, 23897, 1343, 2066, 782, 5824, 1977, 1131, 15666, 547, 713, 1007, 1289, 267, 799, 6069, 267, 538, 1913, 540, 681, 2946, 326, 529, 13891, 2001, 2073, 968, 1729, 22499, 519, 4838, 6100, 3143, 3476, 729, 621, 2556, 547, 723, 513, 5428, 267, 6862, 513, 1982, 267, 6862, 513, 1134, 20452, 2797, 1899, 267, 6862, 513, 5812, 960, 1851, 519, 2527, 3350, 269, 589, 19625, 540, 1004, 609, 513, 2178, 786, 267, 930, 4108, 2866, 543, 513, 1906, 15963, 538, 513, 3552, 4087, 941, 2614, 547, 2253, 519, 4838, 563, 2005, 729, 513, 2357, 3386, 3032, 659, 569, 8243, 585, 519, 2451, 269, 1323, 3003, 5108, 1500, 3294, 1368, 518, 18115, 626, 543, 8678, 519, 7045, 540, 519, 1368, 20482, 8759, 1445, 269, 3509, 267, 705, 10864, 730, 543, 24123, 267, 2451, 741, 2729, 538, 713, 1788, 563, 4913, 267, 713, 8611, 1705, 711, 3413, 12787, 1152, 519, 8713, 338, 267, 855, 621, 849, 13351, 12316, 3906, 269, 5565, 2665, 616, 17709, 540, 11291, 532, 269, 634, 808, 10135, 267, 799, 2663, 2968, 519, 700, 10135, 267, 519, 3296, 540, 519, 1133, 1881, 10555, 30353, 630, 4785, 264, 538, 5333, 267, 729, 12777, 3144, 936, 676, 513, 5823, 540, 519, 6107, 799, 15548, 538, 519, 2904, 476, 6924, 9620, 267, 543, 799, 267, 24590, 543, 5924, 1065, 6160, 532, 519, 7193, 293, 267, 3576, 519, 10011, 549, 8566, 826, 12534, 626, 6436, 607, 922, 4704, 267, 3056, 519, 1133, 1881, 10555, 30353, 547, 922, 1101, 1390, 2048, 611, 2194, 566, 547, 519, 642, 1481, 731, 9957, 898, 9862, 547, 519, 1368, 518, 8759, 6752, 540, 519, 3665, 2451, 563, 1103, 5824, 3013, 267, 715, 1695, 3241, 2859, 7224, 267, 1310, 606, 20093, 1738, 4098, 267, 2968, 3222, 540, 519, 2042, 543, 10616, 540, 519, 23162, 7169, 607, 1134, 607, 519, 6436, 922, 3401, 2919, 269, 1261, 1287, 3323, 8165, 1996, 891, 18765, 267, 2523, 519, 1368, 518, 18115, 626, 11539, 269, 901, 267, 2705, 267, 1281, 711, 11904, 1010, 5428, 4761, 547, 621, 269, 769, 519, 1439, 540, 476, 2568, 779, 267, 519, 5428, 4503, 811, 982, 476, 2412, 260, 540, 922, 17740, 1218, 543, 20017, 637, 547, 513, 1368, 518, 18115, 626, 8237, 267, 519, 11553, 307, 7232, 331, 10395, 520, 1304, 324, 1496, 3725, 23728, 776, 9549, 540, 519, 20709, 1107, 634, 674, 7660, 3910, 540, 16114, 1276, 334, 269, 14755, 267, 922, 2230, 1851, 519, 642, 1481, 731, 2968, 4389, 543, 621, 11124, 3586, 2604, 689, 1346, 945, 267, 9292, 11538, 585, 519, 4838, 602, 1705, 711, 2097, 267, 6743, 585, 513, 30246, 602, 1500, 741, 1272, 4443, 563, 763, 1390, 20519, 540, 715, 1695, 3241, 2859, 7224, 267, 538, 713, 2013, 267, 729, 1373, 5827, 540, 5706, 532, 519, 2604, 540, 513, 2527, 685, 642, 1481, 731, 267, 543, 5103, 519, 10072, 602, 713, 642, 1481, 731, 13684, 593, 1864, 267, 11840, 730, 827, 543, 12943, 547, 519, 1368, 518, 18115, 626, 2604, 563, 2467, 729, 267, 607, 649, 5018, 4505, 267, 513, 30137, 1198, 540, 10011, 549, 8566, 826, 12534, 1143, 593, 23237, 1143, 269, 2201, 835, 1688, 267, 713, 1007, 12402, 2620, 2989, 543, 267, 538, 930, 2665, 267, 899, 519, 19384, 20111, 267, 8737, 519, 9552, 540, 519, 6105, 811, 17401, 5679, 527, 547, 519, 8168, 1899, 269, 4935, 267, 621, 1223, 723, 1185, 513, 11636, 1198, 269, 1809, 713, 729, 711, 1018, 5949, 563, 1103, 1018, 20974, 1229, 1034, 267, 10011, 549, 8566, 826, 12534, 1143, 6854, 519, 9759, 540, 23237, 1143, 281, 519, 3069, 602, 621, 729, 2009, 547, 1628, 25847, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2467, 949, 581, 513, 6211, 2601, 1946, 2021, 946, 1025, 2313, 2443, 621, 779, 10229, 563, 288, 1007, 1353, 689, 4789, 1336, 602, 513, 4807, 779, 11132, 2681, 949, 1689, 1282, 1200, 18492, 4783, 267, 609, 25017, 2810, 1282, 28284, 563, 4322, 2242, 949, 5365, 547, 2367, 602, 513, 4807, 568, 9065, 6819, 630, 1492, 942, 950, 17748, 568, 1034, 2693, 1040, 1717, 267, 713, 11132, 25017, 568, 1932, 11029, 547, 581, 9571, 676, 519, 1480, 3750, 563, 257, 18131, 1810, 1405, 14441, 28284, 267, 855, 789, 798, 3100, 547, 13451, 1344, 827, 621, 267, 607, 2090, 723, 3254, 789, 616, 2938, 607, 811, 10694, 676, 2367, 950, 9065, 6819, 2437, 1767, 1291, 1353, 2278, 670, 20087, 631, 269, 18007, 1633, 267, 12854, 267, 540, 519, 2160, 540, 11062, 267, 538, 513, 2046, 5305, 563, 5804, 519, 29459, 540, 2249, 6668, 538, 3425, 267, 513, 1279, 3856, 5092, 689, 519, 5256, 568, 1732, 585, 519, 4775, 543, 1200, 15556, 269, 901, 568, 1317, 267, 7429, 1082, 824, 2249, 267, 1480, 1453, 723, 513, 1279, 11095, 1974, 563, 1103, 930, 3662, 2249, 602, 14441, 28284, 267, 26697, 1152, 4386, 1282, 513, 4775, 781, 15417, 1974, 269, 1717, 267, 538, 3425, 267, 4638, 2534, 949, 4755, 950, 513, 4807, 568, 711, 9065, 6819, 563, 6097, 547, 3220, 269, 18007, 1633, 543, 2319, 267, 28516, 2443, 1519, 3425, 2443, 616, 13631, 547, 2699, 269, 901, 949, 581, 1946, 930, 2021, 1016, 4621, 19290, 1689, 741, 6923, 9648, 11132, 25017, 1282, 28284, 676, 1210, 17539, 899, 1025, 2313, 610, 676, 9849, 2699, 7802, 563, 2414, 1413, 693, 519, 7872, 540, 11132, 23551, 2287, 547, 5365, 28284, 267, 3220, 269, 18007, 1633, 543, 2319, 13227, 1117, 476, 2420, 2021, 1510, 17539, 1169, 1554, 585, 693, 2547, 835, 3923, 269, 634, 11147, 941, 3144, 609, 513, 2027, 8254, 602, 26717, 909, 593, 6263, 2242, 538, 2681, 563, 7804, 269, 18007, 1633, 543, 2319, 849, 7318, 543, 27424, 17441, 2242, 538, 891, 2021, 563, 306, 7219, 25017, 729, 1336, 547, 8445, 1282, 28284, 543, 2611, 1164, 1282, 519, 2063, 851, 540, 519, 18492, 4783, 269, 1452, 2242, 941, 711, 3713, 762, 547, 519, 1480, 3750, 267, 2705, 563, 20442, 1185, 2219, 11132, 2960, 2681, 1522, 581, 606, 21286, 5365, 585, 28284, 267, 607, 621, 568, 538, 824, 28516, 267, 855, 713, 1353, 2982, 11132, 25017, 568, 711, 1018, 2367, 616, 16116, 909, 593, 2443, 4352, 621, 1223, 581, 513, 1507, 4062, 540, 513, 1454, 3677, 11015, 2437, 3220, 269, 18007, 1633, 1767, 563, 1607, 1353, 729, 3370, 538, 519, 5147, 3390, 540, 519, 4760, 12813, 5308, 2290, 563, 19138, 2278, 3220, 269, 7917, 8738, 5142, 31889, 1489, 689, 606, 7788, 15208, 3194, 26665, 23050, 693, 3345, 3518, 6319, 2160, 269, 5530, 4589, 3220, 338, 269, 9410, 21862, 839, 543, 808, 565, 2106, 570, 4592, 857, 1678, 334, 31889, 1489, 689, 519, 18143, 7070, 3194, 7027, 269, 3220, 269, 18007, 1633, 31889, 1489, 689, 606, 4659, 3194, 26665, 23050, 693, 519, 4659, 540, 25672, 1108, 269, 0, 1607, 1032, 661, 706, 299, 3424, 2966, 519, 8682, 17607, 5358, 676, 15388, 543, 15268, 519, 2609, 540, 4317, 267, 16508, 543, 19078, 269, 1284, 2932, 1079, 2395, 7886, 585, 519, 1053, 540, 3446, 476, 1556, 1299, 476, 1321, 1107, 301, 600, 4445, 531, 4400, 18520, 3427, 563, 763, 8682, 18221, 1982, 5943, 912, 268, 12833, 11510, 3157, 998, 799, 1053, 543, 4079, 666, 10536, 543, 3927, 4019, 519, 1702, 267, 8456, 543, 1983, 2556, 547, 1174, 6000, 563, 268, 20929, 547, 4383, 741, 4664, 1745, 543, 1397, 6568, 585, 1866, 563, 268, 19372, 543, 3035, 2318, 3853, 267, 1020, 543, 2226, 2318, 3347, 267, 543, 1118, 3664, 267, 865, 602, 835, 666, 6023, 6000, 267, 3347, 267, 543, 960, 3927, 543, 31719, 563, 11917, 16633, 540, 519, 1982, 454, 268, 1677, 1683, 2596, 1702, 827, 8682, 18221, 563, 268, 1677, 1577, 519, 5171, 29311, 543, 2463, 519, 10486, 7933, 858, 3720, 1063, 835, 779, 1378, 543, 1866, 685, 5380, 543, 6542, 875, 547, 2769, 1620, 610, 1346, 945, 3180, 1114, 8369, 563, 268, 1677, 1174, 519, 2956, 540, 9877, 1145, 267, 16508, 30719, 267, 15474, 23539, 32686, 1076, 563, 268, 1677, 3142, 930, 20185, 827, 519, 2956, 540, 3427, 607, 513, 2898, 543, 7487, 1153, 607, 513, 1062, 563, 268, 1677, 3142, 519, 2856, 540, 4058, 267, 7598, 543, 10442, 835, 779, 7991, 543, 2518, 6278, 538, 741, 1272, 563, 1103, 1931, 547, 3035, 519, 1657, 268, 20197, 6859, 267, 661, 706, 299, 3424, 4481, 2966, 543, 8045, 519, 1739, 1982, 5943, 563, 263, 9616, 281, 782, 519, 2238, 5018, 2630, 666, 543, 941, 9168, 2687, 547, 519, 3510, 267, 1297, 540, 5171, 543, 8244, 540, 519, 2200, 8094, 2171, 4280, 519, 5171, 547, 2328, 634, 6875, 589, 3118, 689, 713, 8682, 17607, 5358, 888, 268, 594, 917, 1454, 827, 8885, 1299, 547, 1852, 519, 4664, 519, 1888, 568, 1454, 811, 4277, 1299, 3730, 563, 268, 594, 7691, 602, 6616, 3054, 568, 811, 1271, 982, 6616, 827, 1866, 2094, 519, 1152, 3364, 602, 6927, 693, 519, 1439, 568, 968, 596, 892, 711, 2048, 5445, 17483, 268, 8550, 8263, 1175, 798, 1018, 596, 1616, 547, 798, 269, 11408, 1491, 2318, 4555, 1247, 7900, 1022, 2238, 563, 268, 1677, 581, 2178, 543, 8746, 538, 1022, 2783, 563, 268, 589, 1007, 2247, 1305, 2407, 540, 1007, 1702, 267, 1169, 1982, 2680, 941, 2241, 855, 621, 1185, 2620, 2495, 883, 621, 563, 268, 1280, 1582, 18221, 649, 991, 547, 581, 2318, 538, 1169, 3510, 267, 7553, 543, 991, 547, 581, 6417, 676, 1582, 269, 1306, 621, 568, 1271, 547, 1451, 811, 454, 268, 23448, 1344, 827, 3695, 11587, 267, 547, 1628, 811, 3007, 4390, 267, 2994, 585, 19408, 7553, 547, 3180, 4316, 547, 2671, 2123, 5784, 563, 268, 594, 6056, 610, 917, 602, 649, 1058, 1101, 3494, 538, 23126, 543, 594, 849, 1205, 930, 3070, 547, 1250, 1966, 538, 713, 1982, 454, 268, 1284, 1058, 581, 2519, 938, 3007, 8164, 649, 2461, 3257, 4376, 269, 2142, 2186, 543, 594, 1565, 827, 16508, 30719, 630, 1607, 568, 1715, 585, 803, 1916, 268, 594, 917, 661, 706, 299, 3424, 568, 1434, 693, 2679, 2576, 779, 6015, 855, 2221, 1775, 3893, 547, 917, 1866, 4606, 543, 547, 917, 827, 8885, 513, 3787, 563, 268, 3245, 713, 1982, 594, 3893, 547, 917, 8885, 1732, 982, 1354, 543, 594, 19927, 1082, 1007, 1919, 899, 3929, 9882, 563, 268, 594, 3893, 547, 917, 602, 3025, 814, 513, 1966, 1299, 621, 779, 1152, 602, 789, 1810, 1406, 2671, 621, 269, 594, 3893, 547, 917, 811, 827, 1004, 538, 713, 8400, 563, 268, 901, 1982, 2337, 721, 547, 1628, 938, 6015, 543, 1775, 723, 19927, 6266, 540, 1007, 1919, 538, 713, 8400, 454, 268, 2859, 4762, 1211, 267, 6616, 543, 1620, 13951, 513, 1434, 4316, 547, 581, 1732, 543, 1732, 563, 268, 594, 4076, 19927, 547, 3398, 602, 1169, 1268, 568, 1114, 855, 649, 798, 723, 930, 1455, 8017, 269, 594, 786, 1491, 2476, 519, 3435, 547, 1250, 2042, 269, 594, 723, 3833, 19927, 811, 547, 1628, 1250, 1582, 12635, 269, 1306, 2141, 713, 8682, 18221, 1982, 540, 661, 706, 299, 3424, 729, 4502, 621, 269, 0, 19425, 2801, 5505, 689, 519, 2160, 7467, 538, 19161, 523, 723, 1336, 15244, 540, 513, 3002, 1156, 11454, 1031, 585, 26902, 6235, 2025, 25245, 10971, 971, 607, 13095, 514, 543, 8776, 269, 898, 779, 519, 1101, 971, 11454, 2479, 1336, 538, 16157, 267, 543, 4440, 11710, 689, 519, 2038, 25655, 6520, 563, 301, 528, 19886, 16340, 26511, 630, 24520, 298, 264, 4080, 602, 6405, 15244, 1310, 519, 11454, 941, 1336, 2282, 519, 13272, 540, 513, 15922, 538, 3331, 502, 337, 560, 320, 267, 593, 16157, 779, 7178, 5032, 269, 898, 779, 5156, 971, 17633, 941, 1031, 676, 1381, 338, 267, 585, 26902, 6235, 543, 24279, 267, 543, 713, 835, 1185, 513, 17681, 2070, 1524, 519, 535, 329, 867, 689, 744, 572, 267, 11105, 547, 1018, 779, 1631, 513, 10821, 1858, 563, 763, 24085, 4266, 621, 547, 519, 2038, 11635, 6520, 630, 5228, 476, 276, 4037, 4696, 1070, 693, 513, 3135, 602, 1185, 1044, 1990, 19861, 585, 811, 8027, 269, 634, 2160, 7467, 729, 1572, 538, 547, 4163, 856, 14155, 725, 1354, 2679, 3459, 267, 543, 789, 1336, 15244, 540, 1896, 5656, 267, 1519, 835, 5156, 547, 723, 1044, 476, 1691, 7397, 1279, 543, 5722, 7397, 2647, 267, 609, 2178, 9708, 593, 782, 5011, 563, 2690, 811, 3877, 543, 6337, 689, 519, 26995, 4945, 1934, 630, 1410, 4156, 3095, 547, 519, 2160, 7467, 538, 19161, 523, 779, 9365, 2985, 1040, 0, 2005, 568, 25031, 602, 1175, 827, 3388, 1472, 721, 666, 581, 6757, 1519, 938, 12129, 2264, 256, 2598, 1127, 1500, 609, 17375, 267, 28028, 610, 19580, 666, 2270, 1291, 610, 20017, 26606, 2094, 1350, 10270, 568, 1031, 269, 6787, 519, 8670, 568, 10750, 3043, 610, 609, 10477, 23598, 267, 1291, 610, 20017, 26606, 666, 581, 1459, 563, 9827, 547, 917, 568, 267, 732, 17375, 26633, 2922, 888, 2252, 23907, 616, 19323, 585, 1279, 2614, 693, 3905, 2614, 5210, 267, 789, 949, 1869, 581, 2922, 267, 855, 952, 711, 267, 519, 1291, 666, 682, 778, 883, 1426, 543, 2014, 1291, 15464, 269, 18729, 545, 1426, 610, 4235, 568, 2523, 2693, 547, 2014, 1291, 547, 682, 778, 856, 540, 23907, 267, 19890, 585, 6995, 4235, 619, 609, 5172, 552, 691, 1156, 2264, 544, 13903, 563, 9827, 267, 4777, 17375, 26633, 2270, 1291, 286, 898, 568, 711, 16613, 585, 17375, 3688, 1031, 585, 5986, 610, 3274, 585, 23732, 547, 2270, 1291, 269, 769, 1249, 267, 1291, 814, 1044, 1031, 538, 519, 1350, 5074, 1184, 585, 17375, 8286, 267, 26633, 267, 8486, 7129, 267, 10824, 543, 824, 27022, 585, 5553, 563, 9827, 547, 917, 267, 732, 17375, 8286, 1875, 6757, 888, 290, 10984, 545, 568, 7363, 1164, 2298, 855, 519, 1966, 568, 602, 1034, 17375, 2270, 1291, 543, 20017, 26606, 1818, 621, 22247, 269, 901, 568, 2523, 865, 950, 519, 17375, 568, 1350, 18968, 543, 13556, 269, 2368, 786, 8044, 602, 621, 779, 2009, 547, 1265, 2922, 17375, 543, 594, 3858, 855, 1491, 1416, 950, 596, 9140, 519, 1350, 18968, 3283, 563, 1692, 666, 596, 2995, 952, 17375, 568, 1291, 888, 16100, 585, 513, 9963, 6003, 269, 1403, 519, 20341, 729, 14475, 585, 946, 1152, 607, 513, 16560, 6221, 267, 621, 949, 723, 513, 9963, 16826, 539, 5196, 519, 10036, 5377, 971, 607, 968, 8253, 585, 5253, 2422, 1765, 9802, 7313, 2581, 5253, 1848, 1684, 711, 946, 3688, 609, 713, 1826, 540, 9963, 585, 5986, 267, 7674, 267, 610, 13936, 1426, 610, 10425, 563, 28830, 547, 2015, 454, 19350, 616, 930, 1919, 547, 2015, 950, 3843, 547, 4137, 856, 616, 17375, 26633, 6757, 563, 3674, 17375, 15111, 9516, 888, 293, 6395, 19595, 10909, 540, 922, 4170, 5466, 25798, 543, 16560, 17375, 2264, 1305, 8521, 538, 476, 2641, 595, 15709, 476, 11820, 269, 1626, 267, 799, 2829, 602, 17375, 2264, 602, 5526, 547, 581, 5078, 585, 1426, 946, 786, 581, 2808, 676, 15111, 547, 581, 585, 1426, 946, 8259, 621, 12217, 281, 630, 272, 264, 513, 17736, 545, 6681, 6529, 6823, 6003, 593, 513, 2627, 5693, 7298, 547, 9484, 476, 736, 267, 476, 1001, 279, 454, 2710, 28028, 8286, 2270, 1291, 286, 2598, 1127, 1500, 609, 17375, 267, 28028, 610, 19580, 666, 2270, 1291, 610, 20017, 26606, 2094, 1350, 10270, 568, 1031, 269, 1280, 4837, 1570, 267, 4778, 610, 23598, 593, 519, 4837, 949, 2270, 1291, 610, 20017, 26606, 269, 4475, 267, 10750, 2312, 4837, 786, 581, 519, 32343, 4781, 585, 4837, 2264, 269, 20550, 1676, 2264, 7396, 1657, 568, 782, 20017, 26606, 543, 1291, 6954, 563, 1692, 666, 596, 2995, 952, 513, 8670, 814, 1291, 538, 621, 888, 12709, 1449, 20164, 666, 2995, 596, 952, 519, 8286, 723, 682, 778, 762, 1291, 269, 1452, 4255, 616, 1034, 3730, 538, 16326, 1164, 2157, 540, 1291, 269, 5851, 1449, 20164, 946, 513, 968, 638, 1157, 7990, 1449, 892, 1062, 543, 2270, 513, 3114, 602, 7140, 513, 1978, 7990, 950, 4294, 547, 513, 2627, 602, 3568, 1713, 9424, 540, 682, 778, 762, 1291, 563, 2691, 729, 1291, 1031, 538, 20341, 286, 769, 476, 1626, 628, 10601, 5333, 24527, 6022, 1170, 344, 15568, 1291, 25322, 18968, 552, 691, 1156, 2264, 547, 513, 1164, 3044, 563, 1432, 568, 519, 2547, 6757, 12129, 2264, 888, 12749, 3670, 32343, 12129, 2264, 12478, 547, 946, 693, 1753, 630, 2254, 1500, 538, 3624, 994, 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 ]
[ 5942, 270, 5226, 691, 850, 5231, 630, 5379, 277, 1109, 6919, 2020, 31763, 850, 281, 15397, 974, 682, 1217, 1794, 542, 328, 647, 31763, 850, 647, 15610, 269, 527, 5231, 630, 306, 924, 711, 14775, 269, 7831, 2638, 281, 476, 1220, 278, 268, 1015, 268, 2537, 264, 31763, 850, 281, 15397, 974, 682, 1217, 1794, 542, 328, 647, 31763, 850, 647, 15610, 269, 527, 19129, 2215, 334, 14415, 850, 3331, 357, 24924, 1130, 648, 630, 334, 561, 685, 1231, 22044, 324, 1019, 1130, 9461, 264, 1019, 19448, 2733, 15120, 7748, 2473, 829, 524, 14241, 3288, 2505, 27833, 15921, 592, 1092, 1130, 324, 476, 271, 267, 1839, 269, 19129, 1768, 15605, 14415, 850, 3331, 357, 24924, 1130, 648, 630, 334, 561, 685, 1231, 22044, 324, 1019, 1130, 9461, 264, 1019, 19448, 2733, 15120, 7748, 2473, 829, 524, 14241, 3288, 2505, 27833, 15921, 592, 1092, 1130, 324, 476, 271, 267, 4037, 269, 8940, 269, 1890, 743, 31638, 269, 527, 1315, 336, 270, 638, 270, 32483, 850, 11258, 5231, 630, 8618, 1109, 6919, 2020, 4569, 17072, 910, 9105, 3220, 269, 4569, 5231, 630, 306, 924, 711, 14775, 269, 7831, 2638, 281, 476, 1220, 278, 268, 1015, 268, 2537, 264, 634, 5580, 14415, 850, 568, 519, 851, 5627, 519, 5207, 1239, 2418, 267, 519, 5580, 1647, 14415, 850, 568, 519, 851, 5627, 519, 1985, 3620, 580, 4554, 1239, 2418, 267, 519, 2539, 14415, 850, 568, 519, 851, 5627, 519, 9803, 1239, 2418, 267, 1247, 519, 2539, 1647, 14415, 850, 568, 519, 851, 5627, 519, 1985, 268, 9803, 1239, 2418, 269, 634, 2165, 1412, 32483, 3796, 262, 568, 3006, 1031, 547, 15217, 3277, 547, 891, 2418, 7132, 519, 11667, 630, 6518, 568, 519, 2759, 11325, 1871, 1063, 519, 5580, 1647, 14415, 850, 15410, 543, 519, 2539, 1647, 14415, 850, 15410, 1040, 5015, 267, 952, 519, 14415, 850, 1871, 568, 711, 2838, 547, 581, 513, 1448, 538, 519, 1239, 1305, 3294, 267, 1034, 1239, 5036, 1810, 1405, 723, 513, 2189, 1305, 540, 2418, 2715, 304, 272, 267, 1627, 273, 267, 1627, 274, 348, 602, 17337, 519, 1239, 883, 2185, 834, 893, 569, 3160, 257, 13980, 269, 2979, 1721, 636, 3820, 1315, 331, 3869, 7933, 3944, 987, 270, 1613, 270, 2568, 280, 7597, 11258, 5231, 630, 15647, 274, 1109, 6919, 2020, 18926, 16684, 1948, 4366, 281, 14146, 518, 4149, 335, 29107, 2657, 15928, 18567, 267, 676, 19105, 9796, 2651, 585, 519, 17721, 30359, 267, 3267, 5231, 630, 306, 924, 711, 14775, 269, 7831, 2638, 281, 476, 1220, 278, 268, 1015, 268, 2537, 264, 634, 14415, 850, 609, 519, 2547, 2628, 2651, 829, 9441, 1185, 519, 5207, 5542, 2557, 540, 2582, 3795, 543, 602, 609, 519, 5207, 2628, 2651, 829, 9441, 1185, 519, 9803, 5542, 2557, 585, 2582, 3795, 269, 4935, 267, 476, 7761, 269, 275, 2600, 540, 782, 5520, 538, 519, 1101, 2628, 2651, 14415, 850, 267, 476, 6434, 269, 272, 2600, 540, 1346, 538, 519, 2034, 14415, 850, 267, 476, 4817, 269, 280, 2600, 540, 1346, 538, 519, 3791, 2628, 2651, 14415, 850, 267, 543, 476, 9032, 269, 275, 2600, 540, 1346, 538, 519, 8772, 2628, 2651, 14415, 850, 5249, 1141, 1072, 6142, 729, 6035, 630, 29664, 476, 272, 1040, 4935, 267, 1851, 519, 5520, 693, 24284, 602, 6035, 1072, 6142, 267, 538, 519, 1101, 14415, 850, 540, 24284, 1152, 476, 4649, 269, 276, 2600, 540, 891, 5520, 941, 14718, 585, 1072, 6142, 1247, 476, 8660, 269, 280, 2600, 941, 14718, 538, 519, 8772, 14415, 850, 267, 799, 1185, 519, 5207, 3328, 2628, 2651, 338, 630, 29664, 476, 273, 1040, 8940, 6230, 10134, 269, 1695, 337, 336, 10993, 1315, 335, 3639, 23995, 4366, 23995, 520, 4366, 21867, 5231, 630, 14631, 271, 1109, 6919, 2020, 14415, 850, 910, 670, 8553, 8657, 22605, 2376, 827, 14415, 850, 634, 3017, 540, 1871, 1063, 519, 5580, 543, 2539, 14415, 3796, 568, 1634, 607, 519, 954, 32483, 850, 2039, 267, 799, 568, 513, 3730, 2268, 540, 519, 24980, 540, 513, 8579, 3892, 1317, 621, 568, 711, 4299, 676, 1954, 752, 3665, 2418, 630, 5408, 2039, 1040, 3245, 519, 7455, 267, 519, 11667, 568, 476, 273, 269, 275, 3853, 267, 519, 2539, 14415, 850, 568, 476, 272, 269, 273, 3853, 267, 543, 519, 5580, 14415, 850, 568, 476, 274, 269, 275, 3853, 269, 634, 2539, 14415, 850, 949, 849, 581, 4330, 607, 519, 476, 1839, 628, 30878, 282, 282, 519, 11667, 607, 519, 476, 2004, 628, 30878, 282, 282, 543, 519, 5580, 14415, 850, 607, 519, 476, 4037, 628, 30878, 269, 22605, 8807, 541, 2716, 2593, 1315, 5226, 691, 850, 5231, 630, 23211, 1109, 6919, 2020, 18926, 16684, 1948, 1839, 281, 14146, 518, 1975, 29107, 2657, 15928, 910, 18567, 676, 19105, 9796, 2651, 585, 519, 17721, 30359, 3267, 5231, 630, 306, 924, 711, 14775, 269, 7831, 2638, 281, 476, 1220, 278, 268, 1015, 268, 2537, 264, 634, 5207, 3328, 7418, 941, 2838, 540, 519, 5520, 538, 519, 9803, 2628, 2651, 14415, 850, 267, 543, 519, 9803, 7418, 941, 4767, 585, 5520, 538, 519, 5207, 2628, 2651, 14415, 850, 269, 769, 476, 1220, 272, 267, 476, 7761, 269, 274, 260, 540, 782, 5520, 538, 519, 1101, 2628, 2651, 14415, 850, 267, 476, 8660, 269, 275, 260, 540, 1346, 538, 519, 2034, 2628, 2651, 14415, 850, 267, 476, 9834, 269, 271, 260, 540, 1346, 538, 519, 3791, 2628, 2651, 14415, 850, 267, 543, 476, 9032, 269, 280, 260, 540, 1346, 538, 519, 8772, 2628, 2651, 14415, 850, 5249, 1141, 1072, 6142, 729, 6035, 630, 8201, 476, 272, 1040, 634, 27350, 3928, 585, 2582, 3795, 540, 476, 6321, 269, 273, 260, 585, 519, 1101, 14415, 850, 543, 476, 7906, 269, 276, 260, 585, 519, 2034, 14415, 850, 941, 1454, 2362, 982, 519, 3084, 3328, 540, 476, 5379, 269, 274, 260, 630, 8201, 476, 275, 1040, 8940, 6230, 10134, 269, 1695, 337, 336, 10993, 1315, 335, 3639, 23995, 1839, 23995, 520, 1839, 21867, 5231, 630, 14991, 275, 1109, 6919, 2020, 674, 5183, 4750, 910, 6496, 20405, 543, 853, 1737, 344, 12736, 519, 17813, 286, 3502, 2372, 924, 269, 676, 4460, 681, 773, 701, 1280, 1142, 2508, 649, 18886, 875, 1082, 1367, 1296, 540, 519, 2947, 1296, 630, 1960, 277, 1700, 1220, 271, 264, 519, 2508, 8737, 538, 519, 2034, 14415, 850, 540, 922, 1895, 607, 9138, 693, 519, 4098, 630, 7474, 568, 267, 1032, 15134, 476, 1960, 277, 264, 607, 1134, 607, 12719, 741, 19469, 2947, 4458, 30878, 7584, 269, 2311, 713, 1448, 649, 4312, 3964, 602, 519, 5409, 15926, 11962, 7482, 602, 723, 7307, 547, 581, 2034, 14415, 850, 585, 2947, 2786, 1296, 1175, 18923, 2490, 538, 1283, 14415, 850, 2773, 593, 513, 19469, 4493, 543, 602, 17648, 519, 1034, 10728, 16369, 585, 31848, 9186, 269, 1306, 585, 519, 7482, 602, 723, 7307, 547, 581, 2034, 14415, 850, 2185, 540, 2947, 1296, 267, 649, 723, 2484, 811, 540, 873, 267, 855, 1256, 1310, 938, 31848, 9186, 16369, 267, 519, 3328, 19469, 2773, 30878, 7584, 3884, 1405, 1283, 14415, 850, 269, 8940, 8807, 3966, 564, 3820, 1315, 329, 16067, 270, 14895, 270, 1220, 276, 318, 296, 1087, 1132, 10768, 325, 335, 24699, 276, 19603, 273, 6983, 325, 332, 5231, 630, 13670, 274, 1109, 6919, 2020, 31763, 850, 3194, 910, 5851, 661, 11155, 476, 1220, 276, 568, 513, 12353, 4757, 20394, 3028, 267, 2854, 676, 31763, 850, 3194, 267, 3983, 3022, 609, 707, 2754, 2012, 543, 20446, 267, 609, 6402, 1394, 547, 707, 1357, 3135, 267, 799, 568, 8850, 4757, 539, 547, 707, 7218, 1169, 3018, 910, 16798, 256, 1879, 596, 24049, 547, 661, 11155, 476, 1220, 276, 267, 596, 1039, 513, 6131, 3959, 1382, 543, 21107, 2319, 547, 707, 1870, 267, 945, 786, 1832, 596, 543, 707, 5561, 909, 3562, 15082, 593, 519, 5767, 3959, 3377, 689, 1472, 519, 2197, 269, 1280, 22312, 281, 19537, 1529, 320, 781, 14500, 630, 614, 337, 1881, 27142, 711, 3769, 264, 8940, 269, 32483, 850, 516, 14142, 2593, 28898, 5231, 630, 3199, 1109, 6919, 2020, 1496, 5591, 2140, 316, 634, 954, 32483, 850, 2039, 568, 519, 2039, 1063, 519, 1101, 14415, 850, 543, 519, 3791, 14415, 850, 269, 1403, 519, 1871, 568, 3152, 982, 519, 3791, 14415, 850, 7132, 476, 272, 269, 276, 1535, 519, 954, 32483, 850, 2039, 630, 296, 304, 305, 264, 610, 1447, 982, 519, 1101, 14415, 850, 14263, 476, 272, 269, 276, 1535, 519, 21842, 305, 621, 568, 2808, 513, 9793, 7979, 1512, 269, 1403, 519, 7979, 1512, 568, 3152, 982, 519, 3791, 14415, 850, 7132, 476, 274, 1535, 21842, 305, 610, 1447, 982, 519, 1101, 14415, 850, 14263, 476, 274, 1535, 21842, 305, 267, 621, 568, 2808, 606, 3665, 7979, 1512, 269, 8940, 6983, 338, 269, 785, 10005, 12975, 1315, 5035, 525, 21669, 13647, 1673, 3455, 270, 6420, 1220, 274, 270, 937, 999, 270, 6637, 318, 6860, 6155, 665, 5231, 630, 1708, 274, 1109, 6919, 2020, 645, 4953, 281, 9185, 910, 12793, 910, 19532, 2752, 2316, 4041, 5231, 630, 306, 924, 711, 14775, 269, 7831, 2638, 281, 476, 1220, 278, 268, 1015, 268, 2537, 264, 634, 1297, 547, 5815, 519, 14415, 850, 596, 1616, 547, 2132, 269, 31763, 3796, 1419, 616, 1031, 538, 6455, 543, 5619, 1239, 547, 7941, 5095, 883, 2516, 269, 901, 1599, 1223, 581, 1031, 547, 1265, 519, 1283, 476, 1839, 2600, 540, 26038, 538, 513, 2551, 269, 8940, 12500, 564, 1562, 30055, 2593, 1315, 1410, 4897, 270, 15757, 278, 1724, 15094, 271, 2190, 14681, 31634, 24241, 21854, 14681, 6858, 274, 270, 15757, 6507, 272, 278, 1704, 26237, 275, 866, 15094, 276, 2641, 4366, 272, 14681, 278, 2537, 21867, 5231, 630, 9873, 1109, 6919, 2020, 8080, 547, 31763, 850, 16296, 8416, 5231, 630, 306, 924, 711, 14775, 269, 7831, 2638, 281, 476, 1220, 278, 268, 1015, 268, 2537, 264, 31763, 850, 16296, 8416, 9497, 304, 14149, 8442, 543, 621, 781, 2404, 4213, 18973, 602, 607, 513, 13397, 10234, 7464, 24529, 15278, 621, 949, 4309, 10243, 689, 21527, 585, 519, 9042, 540, 3959, 269, 2353, 5092, 3322, 1981, 3226, 1141, 22666, 7482, 616, 3351, 2213, 543, 1058, 581, 12290, 609, 2543, 547, 519, 1377, 540, 10210, 902, 543, 1367, 2883, 6381, 269, 31763, 850, 16296, 8416, 568, 513, 4759, 540, 519, 7464, 24529, 4659, 540, 1715, 3162, 12986, 543, 20401, 525, 547, 602, 14540, 8943, 540, 15979, 269, 8940, 269, 32483, 850, 2593, 28898, 1315, 3410, 810, 325, 2224, 21867, 5231, 630, 10482, 273, 1109, 6919, 2020, 31763, 850, 20823, 8847, 543, 1239, 9832, 31763, 850, 31213, 2697, 519, 3448, 9588, 540, 4632, 538, 2474, 540, 519, 3892, 540, 7694, 269, 1280, 1383, 267, 476, 1220, 275, 7694, 543, 476, 1220, 275, 11667, 5993, 15271, 1239, 941, 19632, 585, 1142, 13567, 269, 4578, 9832, 585, 519, 2600, 851, 6066, 4600, 267, 2600, 32014, 4600, 267, 543, 11667, 5993, 15271, 14415, 3796, 616, 3254, 538, 519, 3349, 2630, 269, 8940, 12500, 3149, 10993, 1315, 11391, 270, 11391, 336, 17213, 21867, 5231, 630, 14690, 1109, 6919, 2020, 23990, 13242, 585, 19532, 2752, 2316, 4041, 3890, 9577, 769, 9786, 9185, 267, 519, 19532, 2752, 2316, 4041, 3890, 1599, 7024, 513, 9138, 14415, 850, 538, 606, 5044, 540, 25948, 2418, 269, 26275, 568, 519, 2039, 540, 2418, 585, 799, 596, 1616, 547, 1265, 519, 14415, 850, 1871, 269, 1403, 737, 568, 711, 606, 8870, 267, 959, 15635, 622, 621, 855, 4558, 519, 27847, 6712, 630, 325, 264, 585, 946, 538, 1900, 476, 274, 269, 1489, 6230, 2222, 7809, 2593, 1315, 29239, 269, 5684, 343, 286, 2675, 573, 284, 330, 321, 282, 523, 268, 639, 282, 304, 9818, 5392, 274, 5231, 630, 23310, 1109, 6919, 2020, 19532, 2752, 2316, 4041, 630, 19859, 7809, 8433, 476, 9032, 10439, 9978, 5358, 1067, 781, 6651, 264, 1280, 1383, 267, 596, 666, 946, 19532, 2752, 2316, 4041, 547, 1265, 519, 1283, 476, 1839, 2600, 540, 26038, 538, 513, 2551, 269, 568, 519, 5044, 610, 1591, 2039, 540, 25948, 2418, 585, 799, 596, 1616, 519, 14415, 850, 1871, 269, 32745, 267, 32212, 296, 3198, 267, 543, 10790, 311, 2132, 519, 1482, 1871, 607, 19532, 2752, 2316, 4041, 950, 14415, 568, 3160, 547, 476, 271, 630, 14706, 1070, 476, 273, 267, 543, 476, 275, 267, 6606, 269, 20444, 323, 333, 6230, 2222, 7809, 2593, 1315, 1105, 633, 19841, 268, 639, 270, 4752, 823, 9032, 270, 6255, 6447, 13478, 4488, 2190, 269, 5684, 286, 18134, 284, 25152, 5231, 630, 14681, 1109, 6919, 2020, 634, 20048, 1834, 281, 476, 275, 270, 278, 270, 1220, 277, 281, 634, 6762, 6261, 3233, 29361, 654, 573, 839 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 310, 22736, 568, 1945, 1082, 1004, 2648, 547, 798, 269, 6787, 596, 2972, 513, 16837, 569, 588, 2651, 998, 707, 8378, 610, 3802, 607, 851, 540, 707, 8516, 6296, 267, 19516, 20379, 616, 693, 1164, 1981, 540, 1373, 3238, 538, 606, 8009, 269, 634, 2817, 23681, 29853, 8881, 10029, 630, 26822, 4811, 288, 264, 5359, 602, 972, 941, 476, 277, 267, 27543, 7972, 538, 476, 1001, 279, 5473, 19516, 20379, 269, 18833, 519, 1981, 2188, 543, 10898, 547, 19516, 20379, 666, 948, 596, 3251, 2922, 563, 12749, 15486, 540, 16677, 652, 6929, 6452, 6342, 454, 300, 19318, 1235, 945, 5397, 22672, 8393, 610, 18621, 1836, 666, 2014, 4049, 7063, 952, 789, 5734, 513, 31355, 269, 2368, 1455, 4128, 585, 31355, 10913, 1331, 912, 268, 30905, 568, 8572, 547, 1294, 5693, 1813, 547, 3908, 15287, 896, 1651, 2211, 4365, 2175, 563, 268, 30905, 14543, 547, 946, 2212, 7547, 693, 3781, 563, 268, 30905, 568, 896, 519, 3310, 540, 4568, 610, 5061, 563, 268, 30905, 568, 26531, 1247, 6117, 269, 630, 3667, 532, 267, 6158, 593, 519, 6049, 267, 4189, 267, 14577, 519, 5925, 267, 3092, 8094, 303, 539, 652, 20379, 723, 519, 1318, 6361, 17574, 267, 543, 16042, 6472, 1590, 3247, 543, 1577, 873, 1780, 9108, 563, 8005, 568, 4107, 693, 11485, 888, 6097, 547, 519, 15544, 585, 8376, 6513, 630, 24922, 1070, 4079, 936, 476, 4792, 543, 1453, 896, 519, 2085, 540, 476, 1428, 616, 693, 2362, 1981, 540, 1373, 3238, 538, 513, 31355, 8009, 269, 15850, 27780, 8529, 19516, 20379, 616, 849, 693, 513, 2362, 1981, 269, 16677, 652, 20379, 666, 2569, 519, 1981, 540, 606, 8009, 676, 912, 268, 744, 2041, 3539, 6808, 6786, 267, 4191, 267, 543, 4155, 3652, 563, 268, 29303, 593, 2427, 19789, 802, 610, 10092, 8164, 2139, 563, 268, 674, 5217, 6808, 1247, 6972, 952, 10092, 610, 2427, 19789, 802, 616, 711, 2139, 563, 268, 18227, 16389, 610, 824, 3457, 512, 26786, 2476, 563, 268, 853, 11691, 10332, 543, 3168, 585, 6517, 4947, 538, 1169, 4287, 2443, 1256, 950, 513, 3444, 19769, 5365, 3081, 621, 779, 15502, 547, 979, 563, 268, 654, 8960, 6505, 23469, 610, 14436, 7802, 563, 268, 11408, 14322, 5179, 1235, 616, 8572, 547, 1294, 596, 563, 1692, 547, 7435, 548, 513, 16677, 652, 6929, 6452, 1211, 454, 5575, 543, 19466, 267, 621, 779, 2565, 602, 596, 1289, 476, 26605, 547, 1205, 2564, 3007, 607, 4166, 607, 2009, 2443, 1256, 952, 596, 1589, 596, 723, 1100, 7063, 610, 602, 707, 7063, 616, 5634, 269, 1403, 596, 666, 267, 1491, 5961, 540, 519, 8009, 6429, 543, 1205, 519, 9920, 779, 3346, 1344, 269, 4746, 267, 1205, 3346, 1344, 689, 1022, 22168, 547, 707, 8009, 269, 9701, 596, 3758, 513, 31355, 8009, 3409, 267, 2348, 607, 1454, 2963, 607, 2009, 666, 948, 707, 2013, 563, 2691, 1411, 10261, 513, 16677, 652, 6929, 6452, 1211, 4521, 9807, 454, 5978, 27192, 723, 519, 1995, 596, 991, 547, 2149, 707, 1655, 4690, 267, 2519, 593, 519, 1034, 3811, 6364, 2009, 269, 1284, 979, 1657, 543, 3564, 543, 12167, 585, 2043, 945, 723, 11124, 1713, 2800, 1813, 547, 32226, 563, 23086, 7684, 2221, 693, 630, 275, 1704, 264, 476, 279, 4649, 268, 1708, 273, 269, 2913, 721, 581, 707, 3391, 998, 1950, 3656, 6927, 269, 0, 22143, 5183, 476, 3583, 292, 267, 13013, 11190, 267, 670, 13612, 267, 623, 14154, 910, 1879, 621, 2501, 547, 9095, 8755, 4441, 538, 519, 2872, 267, 972, 616, 865, 1082, 2474, 547, 3314, 543, 865, 1082, 3255, 547, 19955, 741, 10096, 1299, 4170, 269, 1452, 9095, 8755, 2474, 543, 4441, 949, 3100, 14845, 267, 855, 621, 781, 1271, 547, 1174, 1142, 835, 865, 602, 596, 666, 16783, 609, 891, 4441, 543, 1034, 11932, 910, 3251, 2922, 563, 2171, 2811, 8840, 1524, 9095, 8755, 4441, 281, 18644, 782, 519, 3877, 910, 689, 4441, 547, 17234, 267, 543, 3564, 269, 3371, 616, 2947, 1919, 596, 991, 547, 917, 827, 9095, 8755, 563, 272, 4700, 1548, 4010, 568, 606, 9095, 8755, 888, 2005, 781, 513, 7168, 2786, 268, 3453, 2243, 267, 855, 621, 781, 1271, 547, 917, 4010, 1018, 606, 9095, 8755, 568, 563, 2304, 9095, 8755, 568, 912, 1892, 6970, 4310, 676, 606, 818, 1424, 13337, 910, 513, 1826, 540, 5122, 16411, 1813, 547, 513, 4028, 5305, 540, 1648, 454, 1607, 568, 1018, 4523, 950, 606, 9095, 8755, 4386, 454, 1892, 4964, 999, 6383, 476, 1911, 781, 910, 476, 272, 267, 1822, 781, 18470, 270, 1111, 273, 454, 1892, 16319, 1813, 547, 2604, 6329, 666, 9765, 476, 8182, 28108, 454, 1892, 1546, 11421, 1299, 25183, 4496, 666, 3914, 11250, 602, 9765, 476, 10384, 18890, 454, 1892, 634, 8755, 666, 3914, 5210, 538, 4430, 540, 476, 1789, 267, 1822, 5232, 18278, 454, 1892, 26184, 5210, 666, 11517, 1125, 7601, 12904, 609, 606, 6059, 7269, 540, 476, 6858, 267, 1822, 281, 272, 454, 2005, 781, 2312, 602, 9095, 30303, 666, 581, 513, 1360, 1483, 8594, 538, 519, 9036, 267, 799, 568, 1946, 972, 616, 4441, 547, 1832, 4600, 2922, 563, 273, 4700, 1548, 616, 519, 10858, 4441, 888, 22143, 5183, 476, 3583, 292, 268, 1001, 276, 543, 13013, 11190, 476, 3066, 595, 15709, 476, 4489, 271, 269, 29483, 616, 1079, 4441, 602, 2149, 1996, 519, 12178, 540, 9095, 8755, 1107, 855, 789, 5749, 1406, 9838, 269, 6969, 649, 1205, 883, 875, 789, 8428, 267, 1577, 779, 17412, 519, 3483, 540, 1142, 563, 22143, 5183, 476, 3583, 292, 268, 1001, 276, 568, 513, 3044, 540, 519, 2817, 9605, 10466, 5948, 267, 543, 568, 519, 13618, 2048, 24092, 585, 15379, 8881, 538, 519, 31071, 9957, 898, 3459, 538, 476, 3192, 277, 547, 4217, 13013, 11190, 267, 543, 729, 3370, 538, 476, 3192, 280, 563, 763, 3483, 540, 29458, 5183, 476, 3583, 292, 268, 1001, 276, 568, 547, 1683, 513, 4052, 267, 2922, 9036, 3448, 547, 519, 10898, 2404, 609, 5122, 1648, 912, 1892, 20450, 607, 513, 3391, 547, 9319, 7063, 454, 1892, 2667, 1235, 3755, 538, 735, 2391, 609, 13013, 11190, 563, 22143, 5183, 476, 3583, 292, 268, 1001, 276, 568, 1644, 547, 29458, 5183, 476, 3583, 1107, 519, 2817, 11272, 8943, 10378, 269, 634, 3483, 540, 29458, 5183, 476, 3583, 568, 547, 7413, 519, 1981, 540, 5201, 607, 513, 2707, 540, 3167, 8710, 543, 607, 513, 1761, 27307, 2707, 540, 11642, 1299, 30762, 563, 4002, 519, 824, 1688, 267, 972, 779, 13013, 11190, 476, 3066, 595, 15709, 476, 4489, 271, 269, 29483, 267, 799, 568, 606, 9095, 8755, 1876, 585, 1379, 5108, 267, 6771, 267, 543, 3892, 563, 22143, 5183, 476, 3583, 292, 268, 1001, 276, 568, 513, 3044, 267, 1247, 13013, 11190, 476, 3066, 595, 15709, 476, 4489, 271, 269, 29483, 568, 513, 1876, 609, 513, 3099, 540, 1114, 6042, 563, 763, 5168, 568, 267, 972, 616, 2965, 10486, 1063, 29458, 5183, 476, 3583, 292, 1299, 13013, 11190, 476, 3066, 595, 15709, 476, 4489, 271, 269, 29483, 563, 6635, 322, 8755, 623, 14154, 630, 23114, 10466, 16811, 264, 4170, 585, 1312, 29458, 5183, 476, 3583, 292, 1299, 13013, 11190, 476, 3066, 595, 15709, 476, 4489, 271, 269, 29483, 912, 1892, 18430, 513, 9651, 2079, 547, 3313, 707, 9095, 12773, 4170, 454, 1892, 634, 9095, 12773, 540, 707, 623, 14154, 1058, 9765, 707, 7229, 1981, 454, 1892, 21598, 270, 2752, 630, 4148, 877, 11259, 270, 2117, 268, 3603, 264, 3490, 6106, 616, 711, 4481, 2838, 267, 855, 7494, 454, 763, 2656, 17157, 2630, 3308, 3278, 519, 3017, 1063, 18723, 11259, 5958, 543, 1875, 22286, 877, 11259, 5958, 269, 630, 15239, 22286, 877, 11259, 25099, 3254, 593, 519, 2451, 5288, 269, 18723, 11259, 25099, 3254, 593, 1318, 994, 274, 4700, 1548, 568, 519, 3017, 1063, 21598, 630, 4148, 877, 11259, 264, 1299, 8121, 630, 2117, 268, 3603, 264, 5958, 888, 763, 1034, 1271, 3364, 547, 3314, 1934, 568, 602, 20231, 9095, 268, 3603, 17234, 616, 18723, 11259, 269, 10691, 782, 18723, 11259, 17234, 616, 9095, 268, 3603, 563, 14503, 877, 11259, 5958, 25457, 513, 26432, 4469, 877, 4530, 630, 17129, 300, 667, 5038, 272, 274, 1040, 1677, 581, 2808, 18723, 11259, 267, 519, 5958, 1590, 912, 1892, 8682, 268, 2169, 3907, 880, 1369, 476, 273, 7643, 610, 1447, 454, 1892, 3502, 15835, 610, 30620, 454, 1892, 5620, 513, 1347, 3259, 540, 476, 277, 892, 610, 1447, 454, 6635, 322, 15951, 1570, 1590, 581, 15951, 607, 4469, 877, 1763, 9665, 829, 30680, 674, 5611, 277, 269, 901, 2882, 513, 26432, 4469, 877, 4530, 547, 6961, 18723, 4187, 267, 538, 1840, 547, 1373, 7318, 829, 30680, 674, 4198, 280, 547, 3313, 519, 5958, 779, 9095, 12773, 563, 17843, 2010, 540, 623, 14154, 1590, 2743, 519, 4170, 540, 1114, 30680, 16551, 538, 1931, 547, 581, 13042, 607, 8121, 630, 6635, 322, 681, 730, 994, 1892, 1849, 5847, 1107, 30680, 674, 5611, 277, 454, 1892, 14175, 18875, 1107, 30680, 674, 6245, 272, 454, 1892, 8131, 8825, 2472, 1299, 26372, 338, 1107, 30680, 674, 24241, 279, 454, 1892, 20211, 13363, 633, 2349, 1678, 1115, 1107, 30680, 674, 29045, 277, 454, 275, 4700, 1215, 568, 623, 14154, 15951, 585, 20211, 18044, 888, 2467, 616, 1079, 2418, 602, 2099, 606, 9095, 12773, 543, 1082, 4898, 952, 835, 12773, 568, 1732, 982, 519, 824, 563, 2969, 11901, 568, 519, 20211, 26365, 13437, 10025, 543, 4564, 10071, 1648, 602, 2164, 538, 476, 2004, 260, 5506, 540, 513, 2034, 4110, 6633, 563, 29605, 609, 606, 21085, 309, 12773, 4043, 547, 581, 6793, 855, 2709, 1447, 8143, 4027, 269, 7151, 281, 476, 279, 1608, 30763, 273, 454, 763, 824, 12773, 568, 519, 661, 23336, 1107, 6052, 16505, 7046, 774, 11611, 269, 901, 12773, 4564, 10071, 1648, 602, 2164, 538, 476, 2004, 260, 5506, 540, 513, 2736, 1930, 269, 634, 1570, 9397, 1930, 1282, 9095, 4152, 1354, 513, 6633, 1223, 581, 10805, 563, 13828, 21085, 309, 1299, 661, 23336, 16863, 949, 581, 4080, 267, 855, 519, 2539, 540, 519, 1079, 16863, 11225, 519, 4013, 9095, 12773, 540, 519, 28630, 543, 1590, 581, 593, 519, 28630, 6003, 563, 276, 4700, 1548, 798, 596, 991, 547, 5957, 547, 581, 2922, 1299, 5360, 5050, 888, 22143, 5183, 1299, 13013, 11190, 2671, 713, 2489, 10421, 585, 3795, 912, 1892, 1849, 5847, 4927, 3382, 5732, 6534, 2127, 607, 4625, 607, 454, 1892, 1744, 16630, 267, 3382, 8712, 1299, 13544, 1115, 4927, 581, 6806, 693, 519, 8405, 454, 1892, 590, 23932, 1407, 4927, 581, 3728, 2989, 693, 519, 21389, 1235, 454, 1892, 1744, 16630, 4927, 581, 512, 26786, 883, 27890, 454, 17843, 2157, 540, 4027, 616, 3989, 883, 476, 275, 1114, 623, 14154, 6688, 630, 845, 958, 5219, 547, 607, 670, 13612, 610, 32126, 11485, 595, 20975, 1916, 8855, 267, 513, 9651, 1981, 4879, 2115, 547, 581, 5340, 538, 1931, 547, 4628, 1174, 707, 1808, 9651, 543, 519, 4027, 621, 3340, 563, 19350, 616, 513, 1906, 1806, 540, 930, 540, 519, 9095, 8755, 679, 5145, 956, 649, 723, 547, 2709, 585, 1142, 623, 14154, 7121, 269, 3245, 7121, 476, 272, 3490, 6106, 547, 7121, 476, 275, 9095, 8755, 17015, 267, 649, 4076, 3893, 596, 4988, 910, 12777, 269, 0, 257, 30681, 634, 1390, 781, 6259, 257, 538, 570, 1682, 330, 281, 678, 26680, 543, 5013, 454, 12024, 1022, 2025, 2749, 267, 570, 1682, 330, 814, 922, 1378, 14868, 543, 17691, 2404, 609, 1312, 14070, 543, 1483, 5013, 269, 634, 1650, 540, 875, 519, 1390, 3766, 8681, 15289, 540, 519, 1390, 6739, 10564, 12138, 32379, 7219, 2806, 1090, 630, 296, 3630, 29538, 264, 30567, 756, 531, 729, 538, 570, 1682, 330, 563, 15124, 3766, 8681, 15289, 540, 519, 1390, 6739, 10564, 12138, 32379, 7219, 2806, 1090, 630, 296, 3630, 29538, 264, 8891, 22201, 747, 30567, 756, 531, 538, 476, 15094, 280, 729, 6854, 538, 570, 1682, 330, 896, 15569, 543, 4027, 12171, 28216, 995, 6259, 8834, 519, 4279, 267, 513, 5065, 540, 519, 19036, 569, 1920, 2806, 1090, 8891, 22201, 747, 30567, 756, 531, 729, 4535, 27229, 538, 476, 12739, 279, 610, 476, 15433, 277, 538, 4000, 267, 1034, 2693, 538, 18629, 269, 2311, 519, 2085, 540, 476, 279, 267, 646, 543, 1010, 7015, 941, 32043, 11474, 543, 8694, 909, 538, 594, 30955, 267, 543, 2663, 1107, 538, 476, 10204, 276, 610, 476, 10204, 277, 1107, 789, 941, 4547, 547, 6576, 607, 606, 16678, 10516, 547, 14890, 8834, 594, 269, 538, 6576, 267, 519, 14552, 7550, 519, 18179, 5132, 267, 607, 513, 1267, 540, 799, 594, 3630, 29538, 4607, 519, 6739, 2012, 2806, 1090, 563, 6781, 1090, 729, 7683, 2282, 8834, 519, 4279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 323, 15501, 18989, 264, 2608, 3068, 5332, 454, 825, 5286, 4671, 836, 550, 318, 30350, 815, 547, 5332, 2180, 7272, 1961, 910, 605, 329, 318, 11355, 454, 825, 5286, 4671, 836, 550, 318, 30350, 1315, 284, 2343, 18828, 4671, 836, 550, 318, 30350, 267, 7852, 15871, 272, 267, 1832, 323, 15501, 18989, 2020, 825, 1948, 5173, 1942, 454, 825, 533, 19561, 815, 5286, 30784, 764, 657, 18828, 27904, 17635, 333, 272, 12858, 2608, 5286, 4671, 836, 550, 318, 30350, 267, 7852, 15871, 272, 4917, 825, 31575, 318, 10094, 815, 5286, 27904, 17635, 333, 277, 12858, 2608, 5286, 4671, 836, 550, 318, 30350, 267, 7852, 15871, 272, 994, 825, 31575, 318, 10094, 314, 271, 267, 476, 271, 316, 815, 5286, 17085, 760, 6025, 5404, 318, 10094, 314, 271, 267, 476, 271, 3910, 910, 272, 267, 476, 272, 264, 476, 1948, 1118, 2386, 1871, 568, 1063, 910, 272, 543, 476, 272, 454, 825, 943, 328, 815, 5286, 30784, 764, 657, 6025, 5404, 318, 10094, 994, 825, 2597, 815, 943, 328, 1315, 630, 27923, 1341, 943, 328, 2020, 825, 2132, 2597, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 1262, 16215, 476, 272, 281, 4985, 547, 14523, 2254, 1143, 4373, 5970, 596, 2479, 4862, 540, 3834, 2254, 1143, 1354, 286, 9320, 596, 4312, 2938, 621, 593, 7641, 610, 693, 513, 9059, 1397, 256, 1809, 1705, 596, 917, 602, 3834, 2254, 1143, 568, 2965, 513, 4241, 2361, 540, 1353, 1369, 6530, 286, 769, 713, 1770, 267, 649, 786, 2263, 1018, 3834, 2254, 1143, 568, 267, 875, 621, 1568, 267, 543, 1946, 621, 666, 581, 5363, 780, 3383, 267, 1018, 4010, 568, 3834, 2254, 1143, 286, 2311, 922, 4295, 267, 3834, 2254, 1143, 568, 513, 1533, 540, 5059, 3007, 543, 15398, 2303, 2225, 269, 1879, 2576, 568, 3834, 2254, 1242, 267, 789, 1831, 811, 1930, 547, 10372, 543, 741, 9345, 3587, 1360, 3742, 269, 5620, 596, 2479, 1044, 865, 12842, 538, 513, 1434, 1433, 610, 7260, 602, 596, 4769, 1405, 5469, 4376, 3116, 2469, 593, 1472, 596, 286, 2334, 781, 2186, 540, 899, 1373, 538, 513, 1769, 3834, 2254, 545, 1533, 2439, 3086, 267, 1577, 781, 2911, 827, 661, 9581, 20897, 3834, 16915, 269, 901, 1826, 540, 3834, 2254, 1143, 729, 2919, 676, 513, 18673, 3957, 29859, 661, 9581, 517, 267, 945, 5156, 602, 1004, 1223, 1569, 741, 6418, 2200, 543, 5759, 998, 3834, 16915, 269, 1261, 849, 2219, 602, 3025, 1223, 581, 3834, 2254, 1242, 267, 607, 1279, 607, 789, 941, 8348, 547, 7119, 780, 3080, 1883, 2460, 540, 661, 9581, 20897, 3834, 16915, 568, 519, 946, 540, 9940, 19583, 269, 5502, 540, 10213, 2576, 2047, 1018, 547, 798, 267, 519, 3834, 2254, 626, 1522, 2995, 513, 1650, 610, 4766, 513, 3510, 602, 5012, 519, 1268, 547, 2097, 909, 609, 741, 1378, 3070, 269, 1280, 1383, 267, 3079, 540, 6031, 834, 20365, 6186, 568, 3478, 14402, 2437, 519, 3834, 2254, 626, 1522, 2161, 834, 574, 2602, 8066, 513, 26775, 17891, 538, 707, 1688, 1862, 6343, 4523, 547, 519, 17891, 950, 596, 1577, 979, 12482, 1103, 713, 1770, 267, 649, 786, 1451, 930, 2596, 2553, 585, 10024, 513, 3834, 2254, 545, 1533, 543, 4758, 10372, 269, 1284, 786, 849, 1865, 519, 2956, 540, 2679, 29037, 609, 519, 1268, 1373, 3834, 2254, 1242, 543, 1210, 1893, 602, 24889, 609, 873, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 723, 513, 1732, 1620, 540, 3834, 2254, 1143, 543, 875, 621, 666, 581, 1031, 547, 948, 1004, 1118, 2318, 2242, 538, 741, 2729, 780, 4131, 781, 2119, 513, 2656, 3635, 547, 2285, 596, 513, 6492, 540, 1018, 3834, 2254, 1143, 7959, 899, 269, 4855, 513, 6899, 1747, 547, 1694, 610, 9114, 1524, 267, 2673, 707, 4064, 267, 543, 1491, 513, 1906, 2620, 24967, 269, 3767, 267, 4952, 3054, 6972, 2059, 513, 4190, 11824, 269, 634, 3141, 568, 4259, 543, 519, 1216, 568, 9350, 269, 1306, 596, 3802, 267, 1745, 519, 5070, 9944, 707, 3952, 543, 6432, 547, 519, 3280, 540, 519, 6329, 1835, 4770, 9900, 593, 519, 13272, 269, 6875, 513, 4090, 547, 2731, 14650, 713, 6429, 538, 707, 2247, 780, 23558, 256, 1411, 1175, 4810, 513, 9910, 3834, 2254, 545, 1533, 269, 9894, 596, 5469, 875, 2653, 621, 729, 547, 1445, 593, 519, 11052, 543, 7340, 827, 3388, 3116, 2469, 593, 1472, 596, 286, 2334, 781, 835, 540, 519, 7060, 540, 3834, 2254, 1143, 910, 621, 2636, 721, 547, 7148, 883, 938, 32436, 2247, 543, 1711, 1007, 7399, 269, 1924, 267, 616, 596, 4712, 547, 4685, 4514, 883, 519, 1158, 540, 3834, 2254, 1143, 543, 3605, 922, 11580, 286, 2913, 781, 1205, 3323, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 303, 3918, 4211, 21788, 10345, 22295, 7728, 589, 6717, 8577, 454, 12573, 9460, 25980, 454, 2190, 270, 28217, 1299, 18161, 4306, 2910, 7838, 10345, 589, 6717, 8577, 454, 2080, 568, 606, 7650, 540, 519, 3119, 2553, 6026, 538, 713, 1362, 454, 20007, 2294, 1299, 12474, 454, 307, 8962, 547, 1205, 707, 7817, 538, 513, 3501, 959, 766, 865, 789, 666, 1205, 519, 1034, 856, 540, 519, 8400, 563, 8139, 267, 9301, 267, 2870, 267, 543, 4735, 2718, 616, 1898, 2609, 540, 2069, 563, 763, 1620, 540, 2634, 6329, 267, 2157, 267, 543, 3252, 538, 891, 563, 300, 755, 3972, 267, 6392, 543, 1620, 267, 543, 946, 782, 6786, 689, 7218, 563, 8620, 2200, 1759, 593, 782, 7687, 543, 1022, 2942, 1919, 270, 23024, 7891, 563, 2690, 2168, 543, 5626, 5838, 625, 267, 609, 7525, 1198, 267, 543, 3478, 547, 2087, 519, 7817, 781, 3255, 585, 1689, 563, 2690, 12802, 543, 960, 593, 959, 766, 5826, 2429, 519, 8400, 563, 8620, 707, 1378, 2123, 2095, 865, 596, 666, 2347, 7886, 1510, 519, 946, 540, 20072, 855, 609, 16854, 1967, 543, 1764, 998, 519, 5714, 5188, 563, 10387, 10899, 6740, 1913, 602, 666, 581, 1031, 609, 543, 1996, 519, 7817, 267, 689, 519, 7817, 563, 2304, 577, 832, 1299, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 14523, 2254, 1143, 1315, 661, 9581, 20897, 14523, 16915, 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, 589, 1906, 3275, 3516, 267, 594, 1336, 8885, 7722, 538, 513, 18512, 4901, 593, 513, 23749, 8468, 827, 14227, 7194, 538, 3127, 269, 4934, 540, 7279, 267, 594, 4280, 952, 4896, 1223, 1683, 1239, 593, 519, 7694, 2557, 538, 918, 3315, 534, 267, 513, 2749, 4092, 2282, 29180, 1141, 1250, 22594, 21078, 269, 1677, 1250, 9983, 267, 606, 1367, 15527, 609, 519, 7694, 2557, 689, 519, 476, 1001, 272, 17227, 1107, 5111, 476, 6078, 269, 276, 260, 780, 3086, 267, 1934, 781, 1141, 1919, 1205, 4277, 269, 1411, 1294, 267, 1250, 22594, 616, 1312, 19622, 2229, 5520, 945, 723, 2141, 1044, 13730, 827, 12202, 269, 4256, 2648, 585, 2371, 568, 865, 7096, 602, 789, 4956, 547, 2490, 741, 16468, 15908, 883, 1945, 811, 6209, 676, 4358, 513, 1507, 21543, 538, 741, 18147, 269, 3683, 942, 267, 621, 8057, 883, 513, 14762, 1870, 3246, 1585, 18508, 2249, 547, 2199, 3338, 322, 3639, 267, 20730, 267, 543, 7264, 780, 3080, 1554, 267, 1247, 7234, 713, 1888, 2417, 609, 873, 267, 594, 4121, 602, 789, 1185, 2760, 2808, 2933, 851, 540, 918, 3315, 534, 781, 13781, 2094, 789, 4769, 1405, 3180, 2757, 6009, 2022, 3146, 339, 790, 618, 269, 901, 17275, 513, 6643, 827, 875, 13016, 9922, 3565, 3648, 547, 938, 4346, 855, 1419, 979, 29462, 950, 10655, 7694, 1239, 269, 3733, 22516, 795, 3183, 569, 6376, 539, 267, 834, 11039, 267, 649, 1522, 1175, 991, 547, 28196, 710, 1018, 1412, 655, 7877, 262, 1797, 1287, 15323, 1607, 5872, 3366, 803, 1524, 513, 15529, 8559, 540, 1382, 883, 13395, 2127, 971, 607, 7893, 2804, 2534, 3544, 6101, 2816, 6990, 269, 898, 7140, 856, 972, 616, 3875, 2591, 3238, 267, 1519, 10747, 1018, 13054, 960, 267, 13830, 12119, 15088, 267, 543, 8051, 585, 1346, 2324, 2789, 851, 6066, 5107, 8195, 780, 2026, 649, 1642, 1386, 4514, 883, 891, 10848, 1927, 267, 649, 4362, 602, 3906, 899, 519, 4139, 23267, 9257, 630, 6579, 302, 264, 941, 8362, 5466, 891, 2152, 998, 5499, 16097, 269, 1280, 3236, 267, 789, 6069, 2035, 899, 1412, 5503, 5829, 3768, 699, 332, 7877, 10086, 799, 26342, 2043, 945, 949, 581, 6964, 855, 1869, 3668, 6190, 3108, 547, 2743, 741, 2596, 2115, 780, 5978, 2370, 7634, 4547, 721, 6251, 982, 2479, 1354, 267, 3850, 721, 547, 5660, 1142, 824, 781, 5380, 1247, 5807, 29076, 1565, 269, 3414, 713, 24084, 2287, 3460, 267, 649, 7691, 602, 3006, 6998, 2241, 2055, 666, 1291, 547, 7096, 8906, 543, 15052, 4296, 609, 6068, 3283, 269, 1656, 1034, 11932, 267, 649, 6591, 513, 17105, 7071, 585, 519, 3309, 2081, 1004, 4497, 538, 11327, 2238, 3564, 6671, 8847, 540, 7694, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 29205, 596, 1683, 1239, 593, 519, 7694, 2557, 538, 918, 3315, 534, 781, 2551, 888, 296, 6415, 20994, 267, 607, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 1483, 6066, 1239, 269, 1717, 267, 2687, 547, 519, 14829, 540, 3127, 476, 1001, 272, 267, 519, 7694, 2557, 538, 918, 3315, 534, 729, 1472, 476, 6078, 269, 276, 260, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 7911, 3957, 18498, 945, 5030, 538, 513, 8498, 11303, 676, 3039, 15113, 543, 513, 31394, 5757, 269, 769, 1010, 8498, 267, 1082, 1004, 13736, 5771, 543, 7281, 539, 547, 16589, 267, 519, 835, 2696, 267, 2947, 2053, 513, 1554, 269, 2290, 1554, 267, 18498, 4280, 1010, 8797, 2025, 3659, 267, 2549, 597, 13225, 2967, 267, 1946, 1004, 1185, 1114, 2081, 540, 8026, 741, 5132, 780, 8649, 597, 13225, 2967, 20493, 543, 1767, 267, 834, 11039, 267, 18498, 267, 1175, 899, 875, 596, 543, 707, 2828, 1404, 8335, 1282, 12424, 267, 1004, 2769, 741, 2648, 585, 16589, 538, 1585, 2081, 1701, 1261, 4797, 267, 834, 5278, 1004, 3494, 602, 789, 666, 1174, 16589, 781, 1913, 1655, 950, 789, 1224, 873, 4010, 607, 789, 616, 2854, 267, 1510, 4946, 610, 9427, 4376, 20196, 568, 1018, 649, 1289, 1412, 26569, 1968, 1143, 9538, 1656, 930, 1866, 1589, 621, 781, 1898, 547, 1246, 1808, 3652, 14553, 1317, 789, 1745, 6251, 547, 16589, 713, 1259, 269, 901, 2856, 568, 1572, 1412, 4134, 4184, 514, 4115, 25976, 9538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 1492, 318, 4580, 267, 16651, 272, 318, 5658, 518, 267, 6570, 994, 17264, 952, 3094, 318, 13765, 263, 1492, 318, 4580, 267, 16651, 272, 318, 5658, 518, 2187, 4449, 4159, 318, 4580, 263, 1492, 318, 4580, 994, 4449, 1820, 28361, 333, 23558, 8627, 26761, 476, 272, 814, 654, 517, 519, 10794, 5073, 4449, 3014, 318, 517, 25716, 454, 17264, 3116, 912, 4449, 952, 2407, 318, 4580, 318, 13765, 263, 1492, 318, 4580, 2187, 4449, 672, 4159, 318, 4580, 263, 1492, 318, 4580, 994, 4449, 672, 1820, 19629, 333, 302, 653, 338, 8627, 1703, 781, 513, 17063, 5602, 4449, 672, 3014, 318, 517, 25716, 454, 4449, 3116, 912, 4449, 672, 2490, 8782, 32156, 476, 273, 7055, 1038, 3116, 912, 17264, 4159, 318, 4580, 263, 1492, 318, 4580, 994, 17264, 1820, 3488, 32156, 476, 273, 2433, 5073, 17264, 2990, 284, 6345, 15220, 4069, 263, 1492, 318, 4580, 994, 17264, 1747, 318, 5658, 518, 263, 1492, 318, 4580, 267, 16651, 273, 318, 5658, 518, 267, 6570, 994, 17264, 952, 630, 7773, 318, 13765, 263, 1492, 318, 4580, 267, 16651, 273, 318, 5658, 518, 15892, 4449, 4159, 318, 4580, 263, 1492, 318, 4580, 994, 4449, 1820, 28361, 333, 23558, 8627, 26761, 476, 273, 814, 654, 517, 519, 10794, 5073, 4449, 3014, 318, 517, 25716, 454, 17264, 3116, 912, 4449, 952, 263, 21459, 318, 4580, 318, 13765, 263, 1492, 318, 4580, 15892, 4449, 672, 4159, 318, 4580, 263, 1492, 318, 4580, 994, 4449, 672, 1820, 19629, 333, 302, 653, 338, 8627, 1703, 781, 513, 17063, 5602, 4449, 672, 3014, 318, 517, 25716, 454, 4449, 3116, 912, 4449, 672, 2490, 8782, 32156, 476, 272, 7055, 27030, 825, 952, 711, 556, 2452, 10031, 1038, 2736, 454, 258, 7736, 519, 3014, 952, 3755, 1810, 1405, 530, 13860, 3136, 0, 26611, 23591, 24800, 270, 7090, 454, 5814, 1250, 7272, 11899, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 1384, 453, 6112, 263, 272, 2187, 453, 453, 11133, 815, 630, 842, 7565, 6358, 2891, 15675, 10624, 281, 476, 272, 264, 5996, 338, 19118, 476, 273, 264, 9769, 270, 5793, 7611, 476, 274, 264, 14827, 286, 27328, 453, 14851, 16325, 711, 538, 2039, 263, 272, 267, 476, 275, 15892, 4848, 13537, 2891, 2254, 538, 10624, 256, 8442, 3097, 4848, 453, 11666, 826, 692, 453, 14851, 16325, 2652, 476, 272, 2187, 4848, 453, 321, 4883, 636, 815, 630, 842, 7565, 6358, 2891, 6358, 9352, 1297, 2433, 27328, 4848, 13537, 2891, 27784, 744, 6311, 285, 14307, 3240, 7272, 11899, 20166, 6311, 6357, 4883, 636, 4917, 4848, 13537, 2891, 27784, 667, 4488, 285, 14307, 3240, 7272, 11899, 6185, 4488, 6357, 4883, 636, 4917, 4848, 13537, 2891, 27784, 670, 13052, 285, 14307, 3240, 7272, 11899, 269, 4047, 311, 6357, 4883, 636, 4917, 453, 453, 19197, 16325, 2652, 476, 273, 2187, 4848, 453, 4289, 272, 815, 3403, 2891, 272, 560, 1592, 281, 19515, 4848, 453, 4289, 272, 815, 1592, 272, 314, 272, 18737, 272, 4940, 20889, 263, 3299, 5073, 4848, 22610, 1775, 538, 1592, 272, 912, 15235, 453, 4289, 272, 314, 4289, 272, 28827, 9217, 13580, 815, 1775, 14714, 8692, 4590, 4848, 453, 4289, 273, 815, 3403, 2891, 273, 526, 1592, 281, 19515, 4848, 453, 4289, 273, 815, 1592, 273, 314, 272, 18737, 272, 4940, 20889, 263, 3299, 5073, 4848, 22610, 1775, 538, 1592, 273, 912, 15235, 453, 4289, 273, 314, 4289, 273, 28827, 9217, 13580, 815, 1775, 14714, 8692, 10797, 4848, 13537, 2891, 27784, 9769, 14307, 1250, 7272, 11899, 26509, 542, 17338, 272, 267, 1592, 273, 4917, 4848, 13537, 2891, 27784, 10167, 14307, 1250, 7272, 11899, 269, 5793, 7611, 17338, 272, 267, 1592, 273, 4917, 453, 28432, 912, 4848, 13537, 2891, 1410, 527, 519, 1982, 907, 23528, 4848, 453, 19874, 454, 0, 5228, 2979, 1104, 4073, 692, 3630, 651, 21918, 527, 815, 476, 15886, 15886, 15886, 280, 692, 3698, 568, 28269, 3799, 2187, 825, 952, 562, 10922, 476, 274, 912, 1038, 2132, 562, 3436, 476, 272, 454, 825, 952, 562, 4939, 476, 273, 2652, 476, 271, 610, 562, 4939, 476, 274, 2652, 476, 271, 912, 1038, 2132, 8771, 454, 825, 1775, 815, 476, 276, 454, 825, 1247, 1775, 2608, 1775, 10922, 562, 912, 1038, 952, 562, 4939, 1775, 2652, 476, 271, 610, 562, 4939, 630, 328, 1341, 273, 264, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 1038, 1775, 6834, 476, 277, 454, 825, 2132, 6936, 692, 3698, 1985, 28269, 3799, 2187, 825, 952, 562, 2652, 476, 273, 912, 1038, 2132, 476, 274, 454, 825, 562, 6834, 476, 273, 454, 825, 1247, 568, 28269, 3799, 264, 2652, 8771, 912, 1038, 562, 23785, 273, 454, 1038, 952, 3799, 285, 3630, 651, 21918, 527, 2187, 2018, 1820, 2891, 295, 527, 519, 6601, 6545, 5602, 2018, 14827, 454, 825, 2132, 562, 692, 3698, 519, 311, 628, 28269, 3287, 2187, 825, 952, 1535, 10922, 272, 912, 1038, 2132, 476, 273, 454, 825, 1283, 28269, 815, 476, 273, 454, 825, 476, 603, 28269, 815, 476, 272, 454, 825, 1820, 2891, 272, 560, 568, 476, 273, 5602, 825, 1247, 476, 603, 28269, 2999, 1535, 912, 1038, 1283, 28269, 815, 1985, 28269, 6025, 641, 28269, 994, 1038, 476, 603, 28269, 6834, 476, 272, 454, 1038, 1820, 19304, 263, 603, 28269, 264, 1341, 834, 628, 568, 834, 1341, 1193, 6025, 641, 28269, 4917, 825, 2132, 1283, 28269, 692, 2745, 2891, 10113, 6305, 568, 476, 274, 5602, 2745, 19304, 263, 10113, 28269, 263, 273, 4297, 2020, 2745, 2891, 5575, 3670, 1283, 568, 476, 1724, 5602, 2745, 19304, 263, 1492, 311, 628, 28269, 263, 277, 4297, 2020, 2745, 2891, 5575, 476, 1911, 4905, 1283, 568, 7790, 286, 5602, 2745, 19304, 263, 1492, 311, 628, 28269, 263, 1911, 4905, 30727, 0, 3698, 2638, 20311, 24449, 272, 16325, 8029, 825, 5727, 1477, 825, 681, 29025, 25295, 1477, 825, 2433, 12407, 1003, 281, 3403, 1297, 8870, 9847, 2638, 952, 713, 568, 3501, 1297, 1477, 825, 2433, 8873, 281, 536, 944, 6936, 270, 16178, 952, 519, 3403, 568, 3501, 1297, 540, 711, 1477, 825, 5727, 1477, 825, 952, 1003, 10922, 476, 271, 6769, 1038, 2132, 8771, 1477, 825, 1293, 815, 476, 272, 1477, 825, 585, 1775, 538, 2039, 263, 273, 267, 1003, 2878, 476, 273, 267, 476, 272, 8029, 1038, 952, 1003, 4939, 1775, 2652, 476, 271, 6769, 2018, 1293, 6834, 1775, 1341, 1003, 1315, 1775, 1477, 2018, 952, 1293, 3436, 1003, 6769, 3546, 2132, 8771, 1477, 2018, 952, 1293, 2652, 1003, 6769, 3546, 2132, 6936, 1477, 825, 2132, 8771, 24653, 3698, 2638, 20311, 24449, 273, 16325, 8029, 825, 5727, 1477, 825, 674, 2120, 1259, 1477, 825, 2433, 12407, 1003, 281, 3403, 1297, 8870, 9847, 2638, 952, 713, 568, 3501, 1297, 1477, 825, 2433, 8873, 281, 536, 944, 6936, 270, 16178, 952, 519, 3403, 568, 3501, 1297, 540, 711, 1477, 825, 5727, 1477, 825, 952, 1003, 10922, 476, 272, 6769, 1038, 2132, 8771, 5897, 825, 2820, 815, 1592, 6600, 559, 614, 10857, 10033, 1535, 281, 1003, 4939, 1535, 2652, 476, 271, 267, 2039, 263, 272, 267, 703, 16325, 1262, 271, 269, 276, 11924, 272, 4297, 3418, 825, 2820, 815, 2820, 1341, 1592, 9852, 777, 10857, 10033, 1535, 281, 703, 16325, 1315, 1535, 1070, 2820, 4297, 314, 272, 281, 15947, 825, 2132, 6936, 952, 2040, 5560, 643, 264, 2652, 1003, 3116, 8771, 24653, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1820, 263, 13765, 20311, 24449, 272, 263, 2764, 17903, 825, 1820, 263, 13765, 20311, 24449, 273, 263, 272, 17903, 0, 5228, 17511, 1104, 5903, 24653, 3698, 1265, 28804, 318, 5535, 318, 3333, 1824, 263, 9557, 281, 5903, 314, 8266, 27776, 316, 8079, 9847, 703, 6769, 825, 952, 711, 2798, 6769, 1038, 2132, 476, 271, 5897, 825, 1948, 4990, 1592, 2687, 547, 5207, 1871, 1477, 825, 2798, 815, 15044, 263, 9557, 267, 1883, 284, 14433, 1535, 281, 1535, 314, 272, 316, 10142, 825, 1948, 2332, 1297, 540, 21985, 543, 1699, 6292, 1477, 825, 524, 815, 476, 271, 1477, 825, 562, 815, 476, 272, 1477, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 9557, 264, 2567, 5897, 1038, 1948, 952, 519, 1079, 2516, 1281, 711, 12969, 9847, 9337, 519, 1297, 540, 21985, 1477, 1038, 1948, 543, 519, 6292, 547, 5635, 609, 1477, 1038, 952, 2798, 314, 322, 6012, 272, 316, 2999, 2798, 5157, 6012, 271, 316, 6769, 2018, 562, 23785, 272, 1477, 2018, 524, 284, 328, 1477, 825, 2132, 562, 24653, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1820, 6600, 785, 28804, 318, 5535, 318, 3333, 1824, 31912, 1015, 267, 476, 1626, 3910, 1496, 273, 267, 476, 279, 3910, 1496, 272, 267, 476, 277, 3910, 1496, 278, 267, 476, 1321, 14963, 4297, 0, 3698, 2638, 318, 13440, 867, 4433, 281, 1193, 264, 9847, 536, 944, 6769, 825, 952, 7003, 4433, 264, 2999, 476, 273, 6769, 1038, 2132, 6936, 5897, 825, 952, 521, 29644, 2891, 288, 8442, 3436, 476, 272, 6769, 1038, 2132, 8771, 5897, 825, 20735, 815, 476, 271, 952, 521, 314, 271, 316, 11203, 834, 299, 257, 3116, 476, 272, 1477, 825, 585, 1775, 538, 521, 314, 272, 281, 316, 6769, 1038, 952, 1775, 2652, 834, 299, 257, 6769, 2018, 20735, 6834, 476, 272, 1477, 2018, 952, 20735, 3436, 476, 273, 6769, 3546, 2132, 8771, 1477, 1038, 3116, 6769, 2018, 20735, 815, 476, 271, 1477, 825, 2132, 6936, 24653, 3698, 2638, 318, 13440, 867, 318, 591, 318, 273, 4433, 281, 1193, 264, 9847, 536, 944, 6769, 825, 2132, 711, 521, 29644, 2891, 288, 8442, 3436, 476, 272, 543, 711, 834, 17247, 299, 257, 538, 521, 24653, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1820, 263, 13765, 318, 13440, 867, 318, 591, 318, 273, 2891, 17920, 8442, 3418, 0, 5228, 17511, 1104, 5903, 5897, 5228, 10070, 1104, 22388, 5897, 3698, 1455, 2419, 1513, 10490, 264, 9847, 5903, 314, 1598, 316, 6769, 825, 5727, 1477, 825, 2433, 6943, 589, 281, 5903, 314, 1598, 15947, 825, 2433, 337, 6943, 281, 5903, 314, 1598, 15947, 825, 5727, 1477, 825, 1455, 281, 5903, 314, 1598, 316, 815, 1496, 322, 585, 524, 538, 589, 314, 271, 14963, 1477, 825, 524, 815, 22388, 10490, 314, 271, 29573, 825, 20735, 815, 1496, 15947, 825, 585, 4484, 267, 4831, 538, 524, 29096, 28399, 1038, 1871, 815, 4831, 1477, 1038, 585, 2262, 538, 589, 314, 272, 281, 316, 6769, 2018, 1293, 815, 2262, 29644, 263, 12072, 3418, 2018, 952, 1293, 2652, 476, 271, 6769, 3546, 1871, 815, 476, 271, 1477, 3546, 2736, 1477, 2018, 952, 1871, 3436, 1293, 6769, 3546, 1871, 815, 1293, 1477, 1038, 20735, 6834, 1496, 12072, 316, 2608, 1871, 5897, 825, 2132, 20735, 24653, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1820, 263, 21720, 2419, 1513, 263, 1477, 14277, 322, 944, 14824, 6674, 14824, 322, 809, 19312, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2465, 20559, 618, 269, 1548, 779, 811, 267, 6236, 519, 1249, 602, 519, 1620, 7237, 2882, 519, 21927, 267, 972, 568, 8317, 585, 519, 21927, 547, 1491, 513, 1413, 693, 30031, 2994, 585, 4687, 1702, 609, 824, 1761, 6497, 4315, 563, 300, 550, 1681, 568, 513, 23483, 19175, 269, 634, 21927, 949, 7654, 1332, 547, 581, 519, 6497, 1819, 630, 618, 2465, 1040, 9282, 519, 29013, 851, 949, 1134, 2303, 19023, 9972, 640, 267, 519, 630, 22238, 2406, 264, 21738, 6497, 2465, 1522, 18836, 4656, 547, 1010, 610, 1200, 21927, 269, 1280, 3236, 267, 519, 25982, 21927, 949, 5310, 2709, 4030, 827, 3818, 14426, 267, 5691, 2516, 547, 519, 6497, 2465, 269, 634, 6497, 2465, 949, 1134, 2132, 519, 3870, 609, 6639, 4030, 585, 4881, 4247, 267, 891, 607, 9786, 20764, 675, 18218, 543, 9786, 9523, 9255, 563, 11514, 4184, 532, 543, 29013, 949, 1134, 581, 8947, 676, 19291, 4173, 345, 6199, 779, 1079, 16327, 9426, 1523, 540, 31978, 545, 543, 30070, 3334, 269, 25334, 4601, 519, 31978, 545, 2188, 5447, 609, 5676, 532, 269, 5754, 8162, 545, 2188, 2874, 540, 6109, 3609, 543, 7245, 267, 15569, 267, 14375, 1894, 267, 7900, 22074, 267, 14057, 267, 7555, 267, 543, 3354, 269, 15783, 569, 519, 30070, 3334, 5447, 609, 29013, 269, 7763, 22899, 1919, 1331, 9740, 267, 6284, 540, 22920, 267, 519, 7500, 676, 3294, 267, 10279, 267, 13120, 267, 543, 13120, 563, 7476, 519, 2816, 2944, 6887, 616, 2479, 811, 3875, 21943, 267, 4008, 267, 22097, 267, 543, 11585, 269, 9182, 267, 519, 6205, 779, 8671, 545, 585, 5676, 532, 543, 29013, 1010, 610, 1200, 13781, 723, 547, 31363, 609, 519, 2754, 2203, 779, 519, 11596, 540, 11056, 269, 634, 6205, 814, 547, 581, 18481, 5260, 11803, 547, 1265, 519, 1655, 7097, 585, 5676, 532, 543, 29013, 13794, 269, 18830, 891, 10848, 267, 519, 6205, 1522, 2062, 2998, 1463, 5676, 532, 543, 29013, 538, 3870, 540, 606, 9940, 8905, 269, 1452, 10092, 1223, 581, 12499, 268, 6716, 9318, 610, 3773, 268, 6716, 9318, 563, 22117, 619, 991, 547, 1491, 883, 2272, 2686, 8390, 538, 741, 5676, 532, 543, 29013, 1935, 269, 634, 2983, 1068, 6953, 1993, 23264, 324, 2686, 8390, 6293, 3947, 13354, 4030, 538, 519, 5049, 540, 5122, 1379, 27480, 4994, 267, 1367, 1143, 267, 27828, 267, 10462, 21084, 4994, 267, 543, 17890, 22325, 10066, 269, 1280, 2013, 538, 1448, 267, 513, 3573, 8390, 538, 519, 1648, 26591, 4994, 1522, 1397, 602, 5676, 532, 568, 12863, 982, 29013, 269, 769, 811, 552, 6549, 9107, 4529, 267, 29013, 1223, 581, 1447, 7294, 982, 5676, 532, 563, 7804, 269, 3627, 594, 9330, 341, 747, 6799, 1252, 1049, 4030, 538, 1010, 1837, 267, 5274, 12754, 10029, 269, 634, 7454, 19087, 568, 7361, 19622, 689, 519, 13781, 269, 1733, 12241, 741, 4013, 1534, 725, 949, 7654, 581, 26483, 1975, 691, 534, 547, 8011, 532, 5481, 267, 741, 610, 1372, 1023, 616, 11720, 6804, 269, 3657, 789, 23003, 538, 7996, 888, 1432, 827, 5303, 2473, 286, 1358, 616, 16042, 519, 2250, 10207, 540, 741, 11678, 269, 1548, 798, 2637, 2473, 619, 2709, 596, 607, 5676, 619, 543, 23003, 585, 19087, 962, 779, 4367, 883, 519, 13781, 286, 2904, 1134, 891, 5481, 4123, 917, 24376, 538, 519, 2796, 540, 29013, 888, 763, 9758, 27993, 540, 5676, 532, 543, 29013, 616, 519, 8994, 11815, 2305, 540, 8476, 9441, 2489, 2773, 269, 1879, 519, 3310, 540, 5676, 532, 1522, 581, 16765, 267, 29013, 949, 4734, 1100, 10250, 762, 1757, 1049, 6169, 269, 9182, 267, 519, 8783, 786, 723, 547, 581, 2854, 1543, 609, 15028, 7145, 4093, 267, 15991, 2479, 1620, 585, 1880, 519, 6712, 30289, 547, 29013, 269, 1452, 5686, 540, 568, 519, 2359, 530, 5306, 345, 269, 0, 12041, 281, 4165, 334, 6839, 974, 24261, 454, 16829, 281, 476, 1789, 4239, 476, 1708, 274, 454, 15307, 13846, 942, 547, 1224, 281, 476, 274, 25008, 454, 306, 5085, 28382, 1053, 609, 519, 2556, 1983, 547, 6330, 519, 10848, 540, 1272, 267, 1628, 2635, 3347, 543, 3035, 1967, 1312, 27268, 543, 13948, 269, 5901, 2542, 547, 1451, 875, 547, 10244, 922, 1379, 543, 2972, 519, 2640, 538, 707, 1378, 4928, 563, 19185, 547, 2936, 590, 5085, 538, 707, 4928, 286, 7427, 891, 3268, 547, 1118, 4358, 1945, 1007, 1175, 513, 2370, 3787, 4443, 912, 272, 269, 13760, 519, 9238, 540, 590, 5085, 454, 6524, 11362, 883, 590, 5085, 6388, 267, 621, 781, 3730, 547, 1174, 1018, 1514, 3929, 1565, 14122, 269, 590, 5085, 13315, 513, 2039, 540, 1983, 267, 1519, 1582, 4656, 267, 1582, 7939, 267, 6568, 267, 543, 3743, 3375, 6194, 269, 1411, 666, 1451, 811, 827, 621, 1210, 938, 590, 5085, 476, 6200, 3391, 267, 610, 676, 19855, 998, 891, 590, 5085, 4930, 563, 273, 269, 8073, 513, 11215, 1604, 454, 29490, 11441, 547, 1711, 513, 4928, 5790, 1141, 1053, 1745, 2922, 267, 15197, 543, 12595, 269, 1879, 1053, 1745, 5150, 543, 7608, 267, 789, 616, 811, 2693, 547, 4497, 609, 590, 5085, 2238, 543, 1930, 909, 827, 741, 4664, 563, 274, 269, 25956, 590, 5085, 15789, 454, 13706, 12561, 11295, 590, 5085, 3292, 602, 1683, 513, 3102, 5943, 585, 3450, 1514, 543, 3929, 1983, 269, 901, 666, 1491, 519, 2604, 1055, 596, 543, 707, 3610, 547, 917, 4010, 1018, 596, 2811, 3257, 950, 621, 2501, 547, 590, 5085, 267, 607, 1134, 607, 4543, 596, 3950, 543, 6895, 707, 3356, 563, 275, 269, 7844, 590, 5085, 19326, 454, 26329, 519, 1514, 543, 3929, 1983, 596, 1616, 707, 1053, 547, 1020, 547, 1291, 676, 1383, 538, 707, 4928, 269, 23227, 622, 6568, 267, 1582, 30625, 543, 3743, 3375, 6194, 538, 707, 4205, 609, 1053, 543, 9164, 547, 8362, 1397, 707, 1053, 875, 596, 1616, 873, 547, 13789, 563, 276, 269, 15566, 519, 1489, 454, 306, 5085, 568, 711, 513, 835, 6066, 3992, 855, 606, 5571, 1184, 269, 8033, 28204, 2708, 707, 1053, 262, 3356, 543, 1683, 5955, 946, 590, 5085, 9477, 2645, 543, 10526, 547, 1174, 875, 547, 1732, 1489, 873, 269, 901, 3085, 1405, 723, 547, 1491, 909, 5458, 5666, 540, 942, 267, 1175, 1491, 4967, 593, 2875, 3356, 2370, 543, 1419, 865, 596, 666, 2253, 547, 3950, 3466, 936, 942, 563, 277, 269, 18918, 3237, 543, 15637, 454, 30655, 622, 609, 3237, 543, 15637, 547, 12927, 590, 5085, 693, 1753, 676, 4687, 2200, 543, 4030, 609, 3237, 269, 3502, 782, 3885, 786, 581, 2111, 547, 1491, 891, 2853, 1753, 855, 621, 781, 4502, 10223, 873, 585, 1346, 945, 666, 543, 1616, 547, 563, 3528, 19713, 519, 1379, 540, 590, 5085, 543, 7598, 590, 5085, 3292, 538, 707, 4928, 267, 596, 666, 16491, 707, 1053, 609, 519, 1983, 789, 991, 547, 8011, 711, 1152, 538, 741, 4081, 18697, 855, 849, 538, 1272, 269, 4317, 3929, 1565, 3884, 1405, 1175, 827, 19174, 282, 621, 781, 827, 2679, 14388, 267, 28450, 543, 1134, 25454, 2043, 945, 666, 8853, 538, 606, 2479, 19145, 1158, 563, 6701, 596, 5461, 538, 590, 5085, 855, 1810, 1405, 917, 1141, 547, 1376, 888, 25363, 13586, 590, 5085, 538, 707, 1153, 666, 1745, 899, 513, 18447, 4305, 267, 609, 1082, 16462, 547, 6338, 621, 855, 2348, 1100, 2856, 1141, 547, 1376, 563, 25823, 322, 3559, 17240, 572, 779, 1007, 10341, 1907, 568, 606, 782, 2987, 14633, 267, 1942, 2500, 3070, 547, 2942, 2875, 7180, 267, 4057, 4081, 2773, 543, 1970, 8171, 602, 779, 2656, 543, 2653, 547, 2936, 269, 0, 1692, 1677, 5516, 1280, 14904, 2991, 16690, 22000, 888, 8624, 517, 22000, 568, 513, 5650, 602, 3322, 8380, 513, 2571, 8546, 609, 513, 8254, 998, 519, 606, 639, 547, 6895, 519, 3935, 3330, 519, 3935, 585, 519, 3483, 540, 10992, 543, 16326, 9402, 2042, 269, 901, 1505, 666, 946, 23236, 610, 711, 269, 1924, 267, 1310, 3935, 22000, 267, 875, 1058, 2550, 581, 25374, 585, 3533, 23232, 888, 1692, 1279, 1281, 3935, 22000, 1491, 888, 8624, 517, 22000, 568, 835, 540, 519, 2409, 602, 2337, 3713, 3441, 3330, 519, 3935, 607, 1134, 607, 13209, 3676, 971, 607, 3935, 4874, 1186, 267, 21385, 610, 9584, 585, 3935, 2860, 18679, 29995, 3935, 22000, 5650, 1152, 3217, 827, 476, 1428, 268, 736, 3764, 563, 4913, 267, 952, 519, 942, 519, 3461, 3217, 679, 9047, 543, 1219, 1815, 566, 568, 2312, 267, 713, 666, 2063, 827, 476, 274, 268, 275, 3108, 269, 769, 1840, 267, 538, 519, 2013, 540, 2550, 9256, 1439, 22000, 609, 824, 5773, 971, 607, 4874, 1186, 610, 1591, 10386, 3267, 519, 942, 949, 1491, 3476, 269, 4475, 267, 519, 942, 2838, 585, 3935, 22000, 1419, 5673, 593, 1142, 1808, 2013, 563, 26877, 755, 1674, 540, 6439, 531, 3935, 22000, 454, 13349, 2589, 1310, 1439, 22000, 454, 8624, 517, 22000, 568, 2808, 547, 581, 513, 2922, 1505, 543, 7472, 3592, 1100, 5906, 8374, 585, 2550, 454, 289, 5979, 908, 281, 634, 4743, 540, 26533, 4386, 1317, 1282, 519, 3935, 22000, 267, 519, 4387, 7630, 338, 2011, 883, 519, 16892, 547, 948, 5693, 1294, 519, 2990, 543, 6708, 540, 3441, 3330, 519, 3935, 269, 901, 568, 513, 1455, 10835, 543, 3592, 3025, 945, 814, 8737, 513, 3935, 22000, 786, 723, 621, 269, 4475, 267, 2550, 798, 711, 991, 547, 5855, 1317, 519, 2783, 786, 979, 2476, 593, 922, 1378, 1310, 513, 1906, 3108, 563, 300, 843, 14159, 1928, 281, 4438, 519, 5650, 267, 519, 4387, 786, 1847, 519, 1439, 24005, 547, 1118, 621, 4443, 547, 7747, 543, 547, 2057, 6772, 8504, 2042, 269, 5221, 540, 713, 267, 519, 16298, 540, 519, 3935, 666, 581, 8886, 730, 267, 3056, 547, 513, 13581, 1928, 538, 519, 2539, 17737, 269, 1717, 267, 519, 2783, 786, 849, 14897, 1310, 827, 476, 273, 3108, 865, 519, 3461, 1058, 711, 581, 1932, 14126, 563, 1103, 1840, 267, 2550, 949, 849, 1995, 11702, 1310, 519, 3935, 22000, 269, 5221, 621, 949, 581, 1282, 519, 3935, 22000, 267, 519, 4387, 30397, 17244, 543, 3340, 513, 1591, 3732, 547, 581, 1979, 3591, 1221, 267, 799, 666, 1291, 547, 11702, 563, 1607, 2783, 666, 2014, 519, 3461, 547, 723, 26481, 11166, 855, 621, 786, 979, 2476, 593, 922, 1378, 1310, 513, 1906, 2395, 865, 519, 3461, 1281, 711, 991, 547, 11784, 563, 12648, 1416, 540, 519, 3461, 585, 519, 1101, 476, 273, 3108, 1310, 519, 3935, 22000, 454, 2690, 2550, 10647, 22272, 541, 25646, 23236, 1505, 267, 513, 3448, 1590, 581, 10483, 543, 3144, 1310, 519, 5650, 269, 6168, 476, 273, 3108, 1310, 519, 3935, 22000, 267, 519, 3461, 949, 3548, 513, 1507, 2179, 540, 29809, 3043, 11188, 16466, 547, 948, 519, 1560, 9156, 1310, 519, 17509, 1974, 1354, 519, 5650, 563, 5475, 513, 1906, 3108, 267, 519, 3461, 729, 2111, 547, 3548, 2571, 267, 5277, 3536, 971, 607, 27130, 267, 27130, 267, 1295, 1027, 5779, 11188, 16466, 543, 12403, 539, 12403, 338, 547, 22919, 4222, 607, 1134, 607, 2327, 12536, 543, 2569, 2604, 593, 519, 1560, 269, 3935, 563, 763, 3461, 1964, 539, 1310, 22272, 541, 25646, 6391, 454, 12648, 1416, 540, 2550, 585, 476, 2190, 3108, 1310, 1439, 22000, 454, 7628, 519, 1101, 476, 2190, 3108, 1310, 519, 5650, 267, 2550, 1058, 15666, 547, 519, 1739, 3741, 912, 22879, 6117, 610, 5665, 5230, 12227, 2394, 693, 2547, 835, 1554, 1310, 10992, 538, 3248, 12648, 1928, 4915, 610, 22454, 21352, 518, 607, 9859, 676, 707, 4387, 630, 604, 1022, 11850, 7804, 9722, 7899, 540, 12862, 267, 1519, 32566, 10433, 267, 666, 948, 21352, 588, 8962, 3248, 22879, 6704, 4568, 585, 519, 1101, 476, 2190, 3108, 3248, 292, 520, 1164, 1922, 9200, 3536, 610, 946, 936, 7308, 23716, 9360, 267, 952, 2877, 3248, 27916, 543, 2057, 1022, 588, 1066, 6681, 2534, 610, 588, 1066, 6681, 2534, 3248, 2252, 596, 616, 2921, 29469, 3232, 547, 2061, 2295, 2042, 267, 596, 798, 711, 991, 547, 3247, 269, 8899, 1673, 846, 29469, 568, 2808, 2922, 1310, 3935, 22000, 563, 290, 1162, 1058, 3346, 513, 4387, 1310, 519, 1101, 476, 2190, 3108, 1310, 1439, 22000, 454, 291, 836, 2730, 8374, 1310, 3935, 22000, 568, 16613, 855, 1869, 2009, 563, 3383, 3346, 707, 4387, 610, 1072, 9744, 952, 596, 1995, 1022, 540, 519, 1739, 2589, 538, 519, 1101, 476, 2190, 3108, 1310, 519, 5650, 912, 2419, 1571, 610, 8611, 3248, 305, 624, 531, 11702, 630, 1076, 5338, 568, 811, 982, 835, 29537, 11850, 5319, 331, 20149, 11926, 693, 519, 1439, 24005, 24450, 3135, 3248, 5353, 3164, 14159, 1928, 610, 26533, 630, 332, 843, 1928, 610, 26533, 949, 581, 4397, 11850, 296, 337, 10585, 26470, 630, 1551, 15219, 8926, 1916 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 681, 902, 1862, 1412, 763, 717, 2129, 21105, 611, 7055, 2791, 666, 979, 327, 597, 1470, 513, 5870, 4882, 1636, 532, 2680, 270, 935, 32662, 3092, 910, 799, 4523, 513, 2603, 12986, 1317, 540, 519, 4764, 563, 2791, 666, 946, 519, 2262, 979, 327, 597, 1470, 585, 8488, 950, 6158, 827, 14884, 543, 21772, 543, 865, 593, 269, 1280, 1383, 1412, 300, 2801, 262, 337, 512, 1066, 530, 2664, 1309, 601, 552, 328, 19315, 597, 1470, 9538, 1315, 634, 5721, 814, 1044, 16607, 563, 306, 895, 3758, 910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25811, 1359, 267, 15379, 7177, 454, 21202, 7250, 11046, 602, 814, 4503, 922, 6475, 568, 3001, 7532, 538, 513, 3148, 1141, 519, 6419, 2361, 568, 9859, 689, 5045, 547, 5087, 269, 898, 786, 581, 1219, 21124, 281, 27029, 21202, 269, 909, 645, 269, 1524, 595, 269, 5087, 667, 269, 5045, 661, 269, 711, 693, 782, 4840, 21202, 11237, 540, 9211, 568, 2366, 23276, 1524, 519, 7852, 540, 513, 8546, 547, 10880, 7192, 1663, 2803, 1417, 5496, 693, 519, 1439, 540, 519, 8546, 269, 2201, 519, 1259, 267, 519, 9211, 7237, 513, 6419, 2361, 9859, 19794, 18746, 269, 634, 5544, 593, 519, 5496, 786, 4061, 581, 1219, 21124, 281, 27029, 21202, 269, 16057, 645, 269, 18746, 595, 269, 547, 519, 1318, 607, 2938, 689, 519, 6475, 6204, 25846, 552, 667, 269, 547, 519, 2451, 607, 2938, 689, 519, 6475, 6204, 25846, 552, 661, 269, 711, 693, 782, 4840, 257, 2026, 513, 8520, 540, 5911, 609, 513, 4187, 540, 476, 1015, 394, 358, 7575, 538, 513, 3586, 1875, 10595, 6134, 6419, 2361, 267, 621, 19380, 15452, 1648, 693, 513, 7833, 2557, 540, 476, 275, 269, 271, 332, 297, 4882, 269, 634, 13251, 1699, 538, 519, 8520, 281, 27029, 21202, 269, 568, 476, 271, 645, 269, 568, 476, 273, 332, 288, 595, 269, 568, 476, 273, 269, 279, 332, 288, 667, 269, 568, 476, 736, 332, 288, 661, 269, 3112, 581, 1309, 31446, 579, 3836, 689, 519, 2016, 1239, 4840, 2791, 786, 1205, 513, 7168, 1434, 2856, 593, 875, 547, 946, 476, 3199, 276, 272, 29668, 518, 538, 2095, 11281, 269, 3371, 568, 513, 513, 2347, 1867, 585, 29079, 2095, 11281, 2999, 10674, 2517, 4178, 6155, 665, 19561, 2483, 763, 21782, 786, 581, 1813, 547, 519, 31302, 3403, 6453, 269, 1403, 649, 723, 513, 4009, 3403, 5951, 267, 972, 786, 581, 513, 21782, 1813, 547, 31302, 1628, 909, 540, 642, 2483, 7021, 519, 3339, 2039, 540, 2916, 2837, 972, 786, 581, 606, 28501, 823, 762, 2534, 540, 11517, 1436, 538, 707, 4492, 7382, 543, 621, 786, 711, 581, 8380, 1022, 3267, 0, 17504, 540, 27067, 20081, 32294, 20778, 540, 519, 2038, 29513, 454, 763, 6478, 540, 27067, 543, 519, 7843, 1602, 531, 6428, 14010, 540, 519, 2038, 29513, 454, 2026, 519, 4589, 865, 575, 1342, 1176, 1448, 856, 267, 621, 7012, 1405, 2394, 476, 6977, 272, 602, 5696, 662, 600, 8479, 6700, 602, 519, 6478, 540, 27067, 4309, 3978, 4901, 543, 7839, 2616, 766, 1851, 519, 29513, 269, 2423, 17067, 267, 538, 476, 6977, 271, 267, 8479, 1558, 609, 1896, 824, 3401, 540, 519, 5783, 538, 513, 4055, 540, 1010, 1753, 547, 7281, 269, 1358, 7153, 689, 519, 5870, 609, 513, 17105, 24235, 540, 519, 2956, 540, 519, 6478, 540, 27067, 269, 3683, 519, 1985, 1079, 5756, 267, 8479, 1131, 3136, 547, 2333, 1010, 8561, 593, 24150, 547, 519, 6240, 269, 834, 10190, 676, 476, 5908, 278, 5696, 662, 600, 8479, 3459, 5859, 532, 585, 513, 6793, 8561, 593, 519, 6478, 540, 27067, 269, 634, 6468, 781, 262, 28057, 5980, 543, 519, 3427, 540, 519, 11330, 515, 1206, 941, 1312, 6896, 538, 1142, 30963, 2146, 543, 7550, 3652, 8506, 6478, 540, 27067, 2616, 766, 269, 2311, 602, 942, 519, 3119, 2601, 585, 519, 2799, 2566, 593, 519, 6478, 540, 27067, 729, 2804, 1701, 279, 2311, 519, 942, 267, 519, 18096, 29513, 941, 10010, 18418, 2299, 547, 1711, 543, 2226, 513, 1582, 1606, 11211, 4346, 269, 901, 2838, 873, 547, 1020, 741, 1378, 2200, 1247, 3246, 6009, 585, 519, 7366, 540, 1007, 17838, 21945, 538, 18096, 593, 513, 3232, 4493, 269, 2552, 13764, 741, 6666, 856, 6503, 729, 2877, 585, 519, 1753, 4346, 543, 547, 5351, 519, 11018, 540, 29513, 547, 18096, 630, 320, 4305, 602, 2838, 1804, 18304, 540, 6666, 1040, 634, 26599, 976, 1223, 711, 6488, 547, 3653, 2724, 1104, 532, 4568, 267, 10269, 267, 6995, 543, 7401, 269, 8479, 781, 7744, 729, 602, 7453, 2616, 766, 540, 519, 6478, 540, 27067, 1131, 8197, 5351, 538, 519, 13796, 20778, 540, 519, 29513, 281, 2560, 11296, 2188, 5129, 513, 2101, 952, 711, 6852, 1909, 538, 519, 2799, 6478, 540, 27067, 2616, 766, 538, 519, 476, 5908, 271, 781, 543, 476, 6942, 271, 781, 269, 1703, 616, 930, 945, 2303, 602, 519, 2038, 29513, 2760, 3576, 519, 6478, 540, 27067, 12517, 2394, 5696, 662, 600, 8479, 1031, 519, 13414, 607, 519, 3501, 1907, 547, 21821, 519, 6351, 540, 29513, 538, 5885, 519, 900, 12568, 3646, 269, 634, 6478, 540, 27067, 1131, 3976, 723, 1044, 7000, 585, 713, 2663, 3483, 540, 5466, 519, 6666, 13451, 1966, 799, 1131, 723, 12042, 1229, 519, 11018, 540, 29513, 538, 519, 17865, 8235, 9503, 269, 4595, 519, 6478, 540, 27067, 6645, 721, 602, 621, 729, 7000, 585, 519, 834, 339, 32294, 257, 20778, 540, 519, 29513, 267, 621, 568, 1713, 547, 11291, 602, 519, 11018, 540, 29513, 4646, 519, 5748, 540, 741, 13796, 20778, 269, 280, 1924, 267, 621, 4667, 602, 8055, 781, 834, 1231, 18944, 4367, 257, 547, 519, 6478, 540, 27067, 267, 799, 8659, 519, 4412, 4854, 5796, 602, 15984, 547, 6478, 540, 27067, 4441, 1131, 1267, 538, 519, 13796, 20778, 540, 519, 29513, 267, 729, 267, 3833, 12777, 267, 24009, 269, 634, 28897, 540, 13796, 20778, 849, 9060, 12242, 20106, 538, 519, 1249, 602, 267, 538, 2489, 267, 26599, 976, 945, 616, 21705, 547, 519, 3741, 17611, 748, 539, 676, 519, 13414, 4043, 547, 2661, 513, 8902, 267, 811, 11327, 1272, 269, 3509, 540, 519, 1072, 2640, 2404, 609, 17712, 29561, 689, 519, 6878, 5018, 538, 519, 6478, 540, 27067, 1705, 711, 1831, 2312, 2394, 519, 8545, 851, 540, 519, 14206, 2540, 269, 4438, 2622, 2782, 594, 946, 540, 13189, 1851, 2367, 2968, 7839, 267, 543, 1282, 2622, 2782, 4083, 267, 1851, 2021, 269, 634, 7681, 540, 16906, 7296, 609, 5761, 2860, 729, 13006, 538, 519, 2038, 476, 4198, 271, 338, 267, 855, 4013, 6898, 676, 3621, 4703, 16561, 713, 2078, 607, 21465, 1705, 711, 2049, 2394, 519, 4571, 268, 3422, 271, 338, 269, 4595, 602, 942, 267, 1082, 824, 3676, 723, 1044, 2404, 609, 16906, 7296, 267, 1519, 11871, 540, 519, 5711, 13570, 267, 561, 28449, 267, 24647, 267, 8459, 267, 15485, 267, 543, 18558, 282, 890, 10364, 21385, 282, 18337, 2295, 2068, 282, 5312, 32583, 282, 10867, 9019, 282, 543, 5312, 30126, 21572, 2068, 269, 5525, 723, 1336, 602, 700, 2660, 6377, 29513, 723, 15186, 2539, 1981, 585, 782, 540, 891, 10108, 630, 1789, 268, 3199, 2600, 2630, 602, 540, 1875, 5336, 768, 976, 2713, 538, 18096, 610, 538, 824, 2127, 540, 519, 2136, 2276, 264, 543, 602, 1004, 945, 17712, 664, 689, 891, 6878, 616, 693, 1454, 2539, 1981, 540, 891, 3676, 982, 1346, 945, 798, 711, 269, 23225, 1072, 4220, 723, 1044, 5693, 4857, 609, 519, 946, 540, 7401, 543, 6995, 267, 1498, 930, 2963, 5267, 602, 1346, 945, 17712, 664, 689, 6995, 949, 581, 693, 2539, 1981, 585, 890, 10364, 21385, 267, 2860, 540, 519, 18558, 267, 543, 18337, 2295, 2068, 269, 2368, 2090, 7447, 602, 1346, 735, 2391, 609, 519, 6478, 540, 27067, 2333, 741, 1272, 19104, 909, 547, 5722, 1296, 269, 1015, 769, 519, 9839, 338, 540, 3117, 25378, 9093, 634, 28897, 8659, 538, 14235, 2185, 540, 519, 6478, 540, 27067, 814, 2938, 20106, 1169, 3787, 607, 10565, 607, 519, 28897, 538, 14235, 1614, 269, 7638, 572, 2185, 630, 6518, 729, 8385, 519, 6101, 4098, 540, 519, 13414, 264, 6920, 602, 519, 13414, 729, 2016, 834, 514, 12343, 540, 859, 2812, 543, 6272, 799, 798, 543, 786, 2291, 538, 519, 12271, 540, 931, 25378, 2367, 538, 519, 2063, 2395, 1701, 634, 14235, 849, 7125, 519, 13414, 513, 834, 1150, 8705, 940, 1701, 2290, 991, 711, 1413, 1360, 2484, 538, 2413, 2053, 547, 20559, 930, 540, 519, 9409, 6272, 602, 2367, 723, 17736, 1600, 547, 10419, 3433, 538, 14621, 547, 519, 1072, 540, 812, 269, 1280, 1383, 267, 593, 4728, 476, 1240, 267, 476, 1960, 277, 513, 5449, 17722, 24261, 10196, 5143, 5313, 22124, 602, 519, 2754, 6417, 15522, 2157, 538, 13189, 547, 26924, 4797, 6455, 269, 1556, 2859, 13151, 3307, 569, 267, 10269, 15670, 941, 834, 4944, 10884, 257, 741, 2472, 609, 2799, 13066, 540, 15522, 538, 1931, 547, 2327, 8213, 543, 3976, 26924, 4797, 4616, 540, 1018, 729, 1634, 547, 581, 513, 5906, 1587, 269, 5015, 267, 972, 568, 2963, 602, 891, 834, 4621, 25378, 2367, 257, 17736, 1600, 547, 2344, 891, 5906, 569, 22925, 2472, 547, 3214, 269, 1321, 2353, 540, 713, 729, 2944, 3297, 519, 10207, 693, 519, 1482, 942, 519, 9460, 11675, 540, 1169, 2101, 16906, 10672, 11542, 1354, 6837, 543, 267, 609, 741, 7916, 6659, 267, 2220, 648, 602, 789, 5156, 15522, 729, 711, 22925, 269, 5047, 267, 16906, 3302, 999, 616, 711, 519, 1152, 3283, 16944, 540, 971, 2623, 269, 589, 2487, 1867, 676, 23711, 8612, 602, 519, 9583, 22480, 2571, 4235, 2872, 6763, 15034, 540, 513, 2147, 2623, 540, 838, 10884, 741, 16098, 609, 14933, 538, 1931, 547, 2333, 6455, 998, 519, 10419, 6672, 540, 8213, 269, 1724, 898, 568, 849, 513, 1249, 602, 4568, 267, 4171, 16160, 2360, 593, 2486, 616, 1134, 13006, 267, 568, 30630, 267, 2356, 3833, 16175, 267, 547, 896, 720, 10708, 1691, 269, 570, 2586, 607, 513, 2898, 267, 621, 568, 3833, 2312, 602, 519, 28897, 1336, 538, 14235, 2185, 814, 1336, 27314, 543, 2347, 20106, 269, 10251, 267, 594, 1590, 598, 1027, 324, 835, 1448, 547, 519, 4589, 269, 2755, 594, 723, 2907, 11329, 856, 602, 519, 4616, 540, 6995, 543, 7401, 568, 711, 19275, 1813, 547, 519, 14933, 1543, 267, 621, 568, 3020, 602, 14933, 568, 513, 3075, 543, 1281, 723, 513, 18111, 614, 1190, 1198, 593, 3425, 269, 898, 568, 22925, 543, 666, 267, 538, 1360, 1164, 13066, 267, 581, 5906, 269, 898, 568, 1813, 547, 713, 1249, 602, 713, 2689, 518, 1281, 711, 4235, 14185, 3990, 16098, 540, 1022, 2186, 269, 1717, 267, 621, 568, 849, 3020, 602, 930, 26599, 976, 798, 2972, 897, 320, 10425, 543, 824, 2571, 10425, 602, 2270, 14933, 269, 634, 5783, 814, 1100, 4013, 1796, 593, 14933, 607, 621, 25701, 547, 519, 6478, 540, 27067, 269, 1717, 267, 23745, 681, 269, 5062, 3519, 330, 773, 267, 513, 5449, 24347, 548, 540, 519, 5783, 814, 1767, 281, 1703, 616, 1082, 824, 6878, 799, 723, 513, 5739, 1198, 593, 519, 1480, 1560, 267, 1498, 971, 1880, 1919, 616, 711, 4481, 19275, 676, 519, 6478, 540, 27067, 269, 15742, 569, 519, 851, 1136, 540, 897, 320, 10425, 267, 1498, 711, 3769, 1369, 519, 7893, 3044, 2560, 1496, 1993, 519, 6478, 540, 27067, 316, 568, 538, 18670, 540, 519, 6891, 540, 519, 6478, 540, 27067, 269, 15053, 995, 5061, 540, 1022, 4990, 616, 538, 513, 899, 7121, 269, 1428, 2311, 713, 942, 267, 2705, 267, 519, 7083, 814, 711, 2938, 3514, 547, 1331, 14933, 607, 513, 6219, 24193, 676, 519, 13414, 269, 4935, 267, 930, 700, 2660, 6377, 29513, 798, 851, 820, 540, 891, 1919, 1510, 1439, 836, 1359, 741, 4502, 1465, 547, 4283, 519, 11454, 269, 6736, 713, 1249, 267, 621, 568, 1869, 3020, 602, 519, 5354, 540, 21705, 26599, 976, 16783, 609, 519, 6478, 540, 27067, 607, 621, 568, 4867, 6956, 543, 14648, 543, 789, 723, 556, 9464, 519, 2640, 267, 1312, 13796, 543, 5289, 540, 741, 24150, 547, 713, 6240, 269, 2525, 454, 2525, 476, 279, 15182, 731, 808, 269, 1488, 2590, 2023, 267, 834, 2304, 9483, 28604, 540, 519, 6478, 540, 27067, 2437, 5696, 662, 600, 8479, 2160, 5525, 267, 476, 272, 630, 310, 5793, 476, 4198, 280, 2567, 476, 4375, 267, 607, 20926, 538, 19375, 12891, 267, 834, 10000, 538, 3911, 5803, 281, 589, 15863, 547, 519, 18000, 1676, 781, 29576, 540, 519, 6478, 540, 27067, 257, 630, 4462, 335, 21242, 14174, 7644, 1957, 267, 476, 1220, 271, 1070, 476, 7918, 563, 280, 12891, 267, 834, 10000, 538, 3911, 5803, 2437, 476, 6924, 563, 1015, 12253, 670, 269, 23160, 869, 630, 539, 3218, 1070, 15610, 540, 30963, 1143, 630, 6124, 3840, 281, 5839, 17524, 534, 14539, 7577, 267, 476, 1960, 273, 1070, 476, 15647, 276, 563, 1691, 6423, 5291, 2517, 6202, 1145, 269, 758, 8063, 12975, 270, 8234, 4671, 641, 923, 318, 293, 20081, 984, 8829, 318, 2704, 4022, 318, 273, 21867, 282, 849, 6424, 631, 269, 16199, 8578, 5424, 267, 834, 306, 2454, 15850, 2598, 7666, 2213, 1306, 623, 4875, 2437, 634, 1715, 3840, 8648, 10432, 538, 5623, 30325, 630, 2767, 5147, 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 ]
[ 476, 1220, 273, 543, 519, 7178, 616, 1175, 607, 16944, 540, 30907, 2853, 950, 621, 2501, 547, 6683, 563, 5978, 4541, 2115, 547, 1265, 513, 3070, 547, 3132, 519, 2179, 540, 5779, 2877, 547, 3049, 519, 3747, 1510, 759, 15659, 547, 519, 3800, 6705, 543, 6990, 723, 2097, 547, 269, 4495, 513, 1455, 3804, 568, 6603, 267, 786, 649, 581, 2111, 547, 30082, 4894, 519, 1761, 585, 8290, 899, 519, 27649, 689, 2479, 8757, 519, 1480, 2551, 269, 19402, 602, 942, 2501, 267, 649, 786, 723, 547, 7017, 547, 32232, 547, 17061, 543, 3843, 547, 2270, 873, 1354, 789, 3262, 269, 21207, 548, 909, 267, 713, 3884, 1405, 519, 1101, 543, 621, 1034, 9090, 786, 711, 581, 519, 2063, 563, 2108, 26542, 268, 866, 27649, 20615, 2438, 13201, 513, 7849, 18882, 1848, 3163, 291, 2905, 267, 10049, 3038, 3660, 676, 2480, 23774, 338, 3194, 4659, 267, 476, 1704, 3057, 269, 476, 1708, 271, 267, 8940, 4732, 857, 10642, 2905, 2593, 22812, 548, 1162, 270, 1708, 271, 270, 6734, 270, 1220, 28766, 11260, 4510, 273, 21867, 563, 2108, 1001, 280, 1700, 736, 27649, 4934, 19874, 1848, 9504, 267, 22816, 12855, 7690, 267, 476, 1556, 3057, 269, 476, 1708, 271, 267, 679, 25769, 3820, 28293, 270, 1001, 280, 260, 292, 273, 260, 3199, 260, 280, 3953, 271, 6831, 528, 517, 8785, 318, 719, 19874, 269, 0, 763, 6574, 2029, 29057, 540, 519, 693, 519, 2490, 540, 519, 2063, 2540, 729, 519, 834, 17524, 3317, 1756, 17079, 1701, 901, 26704, 13442, 267, 649, 21787, 267, 1131, 20739, 752, 688, 22106, 607, 3059, 23234, 538, 782, 12204, 540, 3457, 2443, 5228, 14580, 2314, 543, 535, 5090, 2471, 267, 547, 7641, 338, 543, 5904, 267, 547, 13763, 543, 3003, 5665, 1949, 2443, 8959, 547, 4612, 543, 4308, 609, 519, 538, 1410, 22789, 834, 743, 10107, 936, 257, 689, 835, 2540, 547, 519, 1985, 563, 3951, 4966, 267, 2523, 1346, 945, 1223, 3009, 538, 519, 15055, 540, 2910, 289, 5357, 267, 941, 538, 1164, 3747, 269, 20290, 1169, 7622, 543, 13539, 630, 10175, 674, 2975, 302, 264, 1336, 3294, 8600, 585, 519, 4220, 540, 834, 312, 273, 298, 2668, 769, 519, 2680, 267, 519, 21339, 9863, 3622, 9488, 543, 519, 26992, 17079, 729, 19622, 609, 18923, 513, 627, 574, 704, 269, 24953, 7249, 17894, 782, 1472, 2443, 649, 10710, 519, 2104, 2336, 4913, 267, 519, 8594, 4769, 1406, 2731, 1780, 269, 3776, 16126, 593, 2029, 267, 543, 2523, 9907, 4441, 610, 14908, 267, 666, 6038, 4734, 782, 540, 721, 6534, 269, 1656, 621, 568, 713, 1360, 1981, 799, 568, 1631, 20460, 1746, 721, 563, 296, 723, 1419, 795, 12097, 609, 2828, 543, 1920, 602, 519, 1655, 1259, 547, 1451, 875, 513, 1007, 4062, 540, 2029, 1568, 568, 547, 2285, 621, 547, 513, 21717, 269, 1358, 616, 3622, 740, 30794, 267, 22679, 529, 1438, 267, 723, 513, 26793, 2070, 540, 1981, 267, 543, 723, 811, 1995, 7829, 1007, 2029, 982, 519, 3328, 1268, 269, 1358, 10625, 1919, 676, 4693, 543, 5470, 267, 789, 4043, 547, 11716, 10148, 630, 1721, 2899, 267, 713, 1568, 538, 938, 3870, 1070, 543, 789, 616, 2484, 1447, 2693, 547, 2285, 909, 538, 17140, 269, 634, 2487, 4670, 661, 837, 781, 10794, 568, 1759, 593, 519, 23350, 630, 4944, 334, 8814, 10332, 14386, 602, 606, 9813, 4323, 1223, 1152, 581, 555, 342, 14975, 676, 19920, 740, 30794, 693, 2112, 3756, 563, 763, 1966, 649, 723, 2813, 676, 3850, 938, 6107, 547, 8263, 519, 5580, 1688, 950, 621, 2501, 547, 2029, 568, 602, 649, 616, 1419, 2451, 4743, 856, 540, 5905, 543, 14413, 638, 2299, 5423, 585, 834, 6343, 2501, 1985, 1701, 1677, 22771, 649, 2322, 538, 17062, 8060, 267, 5464, 610, 7161, 267, 799, 5462, 1762, 619, 666, 4931, 1203, 269, 769, 930, 2665, 267, 891, 7161, 666, 5352, 1256, 3152, 4220, 563, 13706, 519, 834, 3000, 13501, 257, 552, 2173, 5661, 602, 2408, 5781, 538, 930, 3237, 262, 28600, 525, 267, 1443, 2358, 544, 636, 543, 19033, 827, 1018, 741, 5067, 610, 8250, 814, 5063, 2944, 610, 13986, 2228, 269, 634, 1966, 568, 602, 519, 1126, 666, 3533, 4137, 856, 875, 547, 6467, 1055, 1346, 8060, 269, 11531, 267, 519, 7803, 9992, 24471, 723, 2097, 547, 17908, 519, 1249, 602, 3237, 616, 1031, 547, 7487, 834, 604, 596, 1705, 711, 2278, 1047, 713, 267, 4945, 1934, 257, 6835, 538, 741, 28600, 525, 267, 543, 616, 5958, 908, 6835, 1141, 513, 4945, 3888, 338, 18453, 563, 290, 3234, 10904, 616, 849, 29227, 519, 1249, 602, 1082, 3237, 2443, 14126, 602, 741, 1453, 786, 2322, 538, 1950, 18538, 602, 12404, 5907, 1344, 689, 834, 332, 558, 543, 1402, 257, 2443, 616, 1202, 12371, 602, 741, 1920, 946, 1152, 834, 21720, 257, 18538, 269, 1452, 949, 581, 18538, 602, 4019, 547, 1082, 3457, 543, 2228, 6589, 10362, 547, 519, 3237, 543, 824, 16254, 267, 1818, 873, 811, 7925, 269, 1358, 949, 581, 18538, 602, 519, 3237, 2933, 666, 3314, 267, 971, 607, 519, 1126, 781, 4266, 540, 4332, 1107, 607, 713, 568, 1857, 1344, 267, 621, 779, 2653, 585, 20737, 547, 1205, 543, 946, 563, 5472, 540, 713, 568, 6028, 721, 6534, 607, 513, 2486, 547, 2799, 12611, 1981, 998, 2029, 269, 1284, 616, 15217, 7925, 1317, 938, 2029, 14908, 723, 711, 6854, 10605, 609, 519, 8574, 540, 942, 282, 18707, 540, 962, 273, 298, 269, 12344, 519, 7085, 3317, 1756, 645, 1872, 1185, 513, 29097, 538, 922, 2766, 281, 898, 814, 1175, 3144, 942, 585, 621, 547, 9921, 256, 0, 288, 7548, 693, 9294, 732, 628, 5441, 1767, 621, 779, 538, 1260, 11772, 1043, 547, 1589, 827, 1018, 729, 4503, 538, 519, 3595, 693, 3502, 516, 667, 877, 24130, 563, 14532, 7548, 7033, 774, 756, 1712, 879, 1767, 646, 5433, 8710, 543, 771, 10964, 3971, 8384, 519, 2592, 540, 519, 8781, 2679, 11728, 563, 24679, 779, 1175, 971, 606, 11599, 19506, 711, 1152, 585, 519, 3943, 1004, 267, 519, 8303, 2103, 267, 855, 621, 779, 606, 1148, 14951, 602, 9247, 12851, 547, 519, 2898, 1158, 267, 543, 621, 779, 593, 519, 1482, 1377, 607, 1945, 899, 853, 269, 8834, 781, 29092, 3821, 610, 1022, 824, 11599, 15224, 602, 779, 14678, 25992, 607, 513, 4898, 540, 519, 1158, 2437, 774, 756, 1712, 879, 1767, 563, 1320, 756, 1712, 879, 814, 1044, 547, 519, 26720, 513, 7008, 2053, 547, 1353, 621, 267, 543, 1256, 607, 513, 3318, 14787, 267, 646, 1767, 646, 729, 6410, 563, 10454, 1101, 3364, 594, 1705, 729, 1413, 2786, 909, 267, 543, 519, 2631, 540, 25713, 602, 594, 6557, 3168, 693, 891, 10775, 5523, 29256, 539, 2781, 559, 902, 2223, 646, 15422, 269, 968, 2005, 779, 2182, 547, 4952, 789, 941, 3710, 476, 8517, 1296, 3516, 269, 1411, 2461, 3168, 909, 827, 476, 8099, 3952, 2786, 909, 4799, 3891, 1767, 711, 1152, 568, 519, 2168, 2497, 9048, 2897, 762, 4534, 789, 666, 1406, 946, 519, 1482, 2679, 2553, 610, 519, 1482, 2326, 4534, 855, 972, 779, 849, 519, 5626, 2530, 563, 17606, 779, 1175, 14042, 547, 513, 2603, 540, 1004, 1317, 789, 14678, 666, 9305, 609, 621, 2223, 646, 1767, 269, 968, 2005, 779, 606, 14678, 30753, 3239, 602, 4896, 945, 779, 1044, 547, 5333, 666, 1921, 609, 4799, 1320, 756, 1712, 879, 1572, 713, 1858, 540, 5333, 968, 1492, 524, 2784, 548, 540, 20096, 6189, 267, 6280, 2069, 892, 543, 519, 4099, 540, 519, 2749, 540, 8303, 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 ]
[ 780, 1321, 476, 279, 269, 271, 299, 9046, 5590, 1948, 274, 267, 533, 269, 15233, 1648, 5726, 547, 1265, 519, 9101, 6991, 689, 519, 3859, 1062, 267, 8263, 602, 519, 14965, 1761, 1648, 1063, 519, 14361, 543, 519, 3618, 270, 1492, 3141, 20441, 269, 681, 661, 568, 519, 8953, 540, 519, 3618, 282, 681, 11536, 568, 519, 3845, 1063, 519, 3618, 543, 519, 3141, 269, 544, 341, 717, 7825, 661, 681, 661, 717, 7825, 590, 681, 590, 815, 476, 271, 476, 6321, 264, 634, 9101, 6991, 642, 538, 519, 4704, 7406, 540, 513, 3845, 5182, 264, 803, 642, 815, 717, 1341, 544, 3738, 590, 678, 661, 681, 590, 815, 715, 544, 4846, 476, 275, 4846, 544, 1341, 269, 4200, 3738, 476, 27157, 4846, 269, 2004, 476, 271, 544, 476, 6872, 264, 476, 6812, 264, 815, 544, 4882, 476, 6795, 264, 3767, 8263, 519, 14361, 568, 9250, 538, 519, 4287, 540, 519, 3618, 20771, 5163, 1472, 519, 3141, 267, 519, 3432, 3448, 547, 519, 4099, 540, 519, 3618, 568, 642, 815, 642, 12631, 337, 11536, 570, 815, 544, 4882, 12631, 269, 2004, 476, 271, 544, 3738, 521, 476, 2568, 264, 815, 544, 4882, 476, 277, 264, 536, 264, 634, 10047, 540, 519, 3618, 666, 948, 713, 14361, 3035, 9101, 3432, 269, 4855, 519, 3432, 602, 519, 14361, 1590, 723, 3448, 547, 519, 3618, 521, 2627, 952, 519, 14361, 568, 9250, 689, 8419, 693, 519, 1448, 3254, 538, 519, 4137, 269, 634, 10047, 543, 20771, 20517, 540, 519, 3618, 616, 538, 519, 1482, 4287, 269, 634, 10131, 6703, 538, 8419, 616, 476, 279, 269, 276, 5087, 540, 519, 20337, 269, 634, 10047, 543, 20771, 5163, 540, 519, 3618, 616, 538, 519, 1482, 4287, 269, 634, 3432, 540, 513, 1448, 593, 519, 2627, 540, 519, 3618, 693, 606, 5086, 16564, 689, 519, 20337, 568, 642, 815, 12631, 337, 661, 5430, 26420, 570, 661, 267, 1141, 570, 661, 815, 3738, 521, 815, 521, 269, 4475, 9250, 689, 8419, 267, 519, 14361, 1590, 723, 513, 3432, 642, 3448, 547, 519, 3618, 521, 2627, 269, 642, 815, 642, 12631, 337, 552, 5430, 476, 279, 269, 276, 570, 661, 476, 277, 264, 815, 544, 4882, 12631, 544, 264, 5430, 3738, 521, 815, 544, 4882, 476, 5038, 264, 524, 264, 634, 3864, 6611, 10837, 30673, 264, 3096, 10131, 6703, 538, 3943, 2871, 10005, 5612, 5087, 540, 8478, 1070, 476, 276, 269, 276, 5087, 540, 519, 20337, 269, 1548, 3432, 3448, 547, 519, 3618, 521, 2627, 1131, 513, 14361, 991, 547, 9101, 519, 3859, 1062, 952, 9250, 689, 3943, 2871, 10005, 2496, 1724, 476, 279, 269, 271, 299, 9046, 5590, 1948, 274, 267, 533, 269, 476, 274, 6684, 267, 9250, 689, 3943, 2871, 10005, 267, 519, 2230, 4739, 1590, 723, 606, 9101, 3432, 540, 642, 476, 274, 3448, 547, 519, 3618, 521, 2627, 267, 642, 476, 274, 815, 642, 12631, 337, 552, 5430, 476, 276, 269, 276, 570, 661, 476, 4792, 264, 815, 544, 4882, 12631, 544, 264, 5430, 3738, 521, 815, 544, 4882, 476, 6858, 264, 8111, 16644, 718, 3188, 9046, 2433, 11875, 18967, 673, 10739, 11154, 539, 689, 8479, 543, 6154, 539, 2006, 476, 274, 628, 7160, 264, 1966, 476, 274, 269, 6507, 267, 2985, 476, 275, 4097, 269, 1482, 607, 8479, 543, 6154, 539, 2006, 555, 7160, 264, 1966, 269, 6507, 267, 2985, 476, 5325, 4700, 1280, 909, 547, 476, 271, 2798, 540, 3063, 5491, 267, 596, 949, 798, 519, 1739, 11207, 18593, 1966, 269, 1280, 513, 6609, 540, 875, 3063, 5491, 2042, 786, 581, 9268, 267, 1294, 9046, 5590, 476, 280, 269, 6333, 513, 14361, 538, 606, 14248, 18967, 673, 10739, 1472, 519, 3618, 269, 2311, 519, 1970, 1448, 267, 610, 829, 580, 2465, 267, 540, 922, 10739, 267, 621, 568, 693, 513, 3845, 678, 533, 689, 519, 3618, 521, 4099, 282, 693, 519, 1164, 1448, 267, 610, 3284, 334, 32607, 267, 621, 568, 513, 3845, 678, 513, 689, 519, 3618, 521, 4099, 269, 513, 264, 1548, 568, 519, 1974, 540, 519, 14361, 521, 10739, 286, 4595, 513, 815, 678, 513, 1341, 678, 533, 267, 649, 723, 570, 815, 12631, 320, 274, 270, 717, 332, 292, 815, 12631, 717, 332, 661, 986, 1341, 678, 533, 3738, 476, 274, 476, 6924, 264, 536, 264, 4635, 5726, 540, 16070, 11610, 267, 1265, 519, 5223, 540, 519, 14361, 521, 3432, 693, 829, 580, 2465, 547, 922, 3432, 693, 3284, 334, 32607, 269, 4635, 5726, 540, 16070, 11610, 827, 519, 3618, 267, 32275, 513, 642, 513, 815, 32275, 533, 642, 533, 476, 7597, 264, 642, 533, 815, 678, 513, 476, 3583, 264, 642, 513, 678, 533, 524, 264, 4635, 5726, 540, 1648, 267, 1265, 519, 3432, 693, 829, 580, 2465, 543, 519, 3432, 693, 3284, 334, 32607, 269, 15233, 5726, 540, 1648, 547, 3284, 334, 32607, 543, 829, 580, 2465, 918, 513, 1341, 772, 513, 815, 918, 533, 1341, 772, 533, 476, 278, 264, 544, 341, 513, 717, 332, 2506, 815, 678, 513, 544, 341, 533, 717, 332, 2506, 476, 278, 264, 678, 533, 692, 1691, 946, 1267, 689, 536, 264, 642, 533, 642, 533, 642, 513, 815, 717, 332, 661, 678, 533, 678, 513, 3738, 678, 335, 678, 513, 3738, 3738, 476, 279, 269, 271, 299, 9046, 5590, 1948, 274, 267, 533, 269, 476, 275, 815, 717, 332, 8210, 513, 678, 533, 3738, 678, 513, 678, 533, 476, 10463, 264, 815, 717, 332, 8210, 513, 678, 533, 3738, 678, 513, 678, 533, 476, 10619, 264, 678, 513, 642, 335, 678, 513, 678, 533, 815, 717, 332, 661, 678, 513, 678, 533, 986, 678, 335, 717, 332, 661, 678, 513, 642, 533, 815, 678, 533, 678, 513, 1341, 678, 533, 3738, 642, 513, 815, 678, 533, 341, 533, 717, 332, 661, 678, 533, 815, 678, 513, 678, 513, 678, 513, 1341, 678, 533, 3738, 815, 717, 332, 8210, 513, 678, 533, 678, 513, 1341, 678, 533, 3738, 476, 4037, 264, 476, 10602, 264, 476, 6507, 264, 546, 264, 898, 568, 2556, 547, 723, 519, 14361, 9101, 689, 519, 3618, 4625, 269, 1403, 519, 14361, 521, 31244, 616, 17991, 13713, 693, 829, 580, 2465, 267, 6721, 513, 6727, 1689, 538, 519, 15177, 521, 3432, 267, 676, 875, 1454, 1131, 519, 3432, 723, 547, 581, 2799, 547, 3035, 713, 286, 1548, 952, 519, 31244, 941, 17991, 693, 3284, 334, 32607, 286, 6904, 1448, 538, 519, 10739, 568, 811, 3608, 547, 946, 286, 1280, 519, 14361, 547, 9101, 267, 661, 814, 547, 581, 693, 2547, 476, 271, 267, 918, 1341, 772, 815, 476, 271, 269, 2311, 3284, 334, 32607, 281, 544, 9719, 377, 533, 717, 332, 2506, 717, 332, 661, 815, 476, 271, 815, 476, 9719, 377, 533, 815, 476, 4281, 264, 678, 533, 678, 533, 519, 3432, 814, 547, 581, 2799, 676, 3738, 717, 332, 661, 986, 642, 533, 815, 476, 9719, 377, 533, 642, 533, 815, 678, 533, 678, 513, 1341, 678, 533, 476, 8064, 264, 2311, 829, 580, 2465, 281, 544, 9719, 377, 513, 717, 332, 2506, 717, 332, 292, 815, 476, 271, 815, 476, 9719, 377, 513, 815, 476, 3199, 264, 678, 513, 678, 513, 519, 3432, 814, 547, 581, 2799, 676, 717, 332, 292, 642, 513, 815, 476, 9719, 377, 513, 642, 513, 815, 678, 513, 678, 335, 678, 513, 1341, 678, 533, 3738, 476, 279, 264, 898, 568, 711, 2653, 547, 1294, 799, 540, 891, 1079, 7215, 568, 3677, 267, 855, 952, 835, 7696, 338, 2338, 835, 9060, 5612, 602, 642, 568, 2141, 4130, 693, 829, 580, 2465, 269, 901, 10522, 692, 1428, 476, 279, 269, 271, 299, 9046, 5590, 1948, 274, 267, 533, 269, 476, 276, 602, 1447, 4492, 1131, 581, 2877, 547, 3595, 519, 31244, 693, 829, 580, 872, 267, 2094, 519, 4492, 2115, 616, 5462, 7357, 676, 519, 1689, 538, 6991, 269, 8074, 602, 519, 14361, 13733, 1898, 344, 998, 513, 12511, 267, 865, 621, 1281, 711, 2170, 609, 519, 3047, 267, 543, 922, 3432, 3448, 547, 519, 3047, 568, 540, 1100, 10083, 269, 634, 1482, 1689, 538, 6991, 786, 2141, 2154, 519, 1482, 2179, 540, 4492, 267, 7488, 540, 519, 3355, 6991, 3448, 547, 519, 3047, 4700, 8111, 16644, 718, 3188, 9046, 2433, 32522, 689, 3047, 547, 9370, 8479, 543, 6154, 539, 2006, 476, 274, 628, 7160, 264, 1966, 476, 274, 269, 9262, 267, 2985, 476, 31973, 269, 1482, 607, 8479, 543, 6154, 539, 2006, 555, 7160, 264, 1966, 269, 9262, 267, 2985, 476, 4366, 4700, 1280, 909, 547, 476, 271, 2798, 540, 3063, 5491, 267, 596, 949, 798, 519, 1739, 11207, 18593, 1966, 269, 1280, 513, 6609, 540, 875, 3063, 5491, 2042, 786, 581, 9268, 267, 1294, 9046, 5590, 476, 280, 269, 7612, 623, 274, 269, 9262, 634, 1034, 3608, 1259, 547, 6494, 513, 14361, 689, 519, 3618, 547, 1776, 4541, 568, 676, 1210, 513, 670, 2129, 10458, 4483, 10739, 8431, 269, 623, 274, 269, 9262, 1040, 1403, 519, 25057, 540, 519, 22576, 543, 10278, 10785, 616, 9764, 267, 519, 670, 2129, 10458, 4483, 10739, 568, 606, 14248, 18967, 673, 10739, 4171, 31971, 3559, 542, 543, 3284, 3559, 542, 616, 17242, 547, 519, 25057, 540, 519, 1079, 10785, 269, 634, 31244, 616, 17991, 13713, 693, 519, 22576, 4541, 547, 2322, 519, 14361, 883, 519, 4483, 10739, 282, 519, 14361, 1287, 5032, 338, 2394, 621, 10301, 519, 10278, 4541, 269, 634, 31244, 616, 1287, 17991, 1586, 547, 2322, 519, 14361, 883, 519, 1482, 10739, 827, 519, 3141, 607, 519, 10278, 4541, 269, 513, 264, 1280, 513, 8184, 689, 3618, 547, 9370, 267, 538, 1018, 4287, 1590, 519, 31244, 581, 17991, 693, 519, 3618, 543, 693, 9370, 281, 538, 519, 4287, 540, 5163, 267, 610, 6587, 519, 4287, 540, 5163, 286, 1548, 827, 585, 513, 8184, 689, 9370, 547, 519, 3618, 286, 634, 20771, 8953, 540, 519, 3047, 568, 678, 661, 815, 269, 2004, 476, 271, 544, 267, 543, 519, 20771, 8953, 540, 9370, 568, 678, 631, 815, 269, 279, 476, 271, 544, 269, 2290, 666, 1294, 689, 519, 4137, 602, 519, 2101, 7852, 540, 519, 670, 2129, 10458, 4483, 10739, 568, 1175, 519, 2040, 540, 891, 1079, 267, 865, 519, 10859, 2173, 1994, 7852, 585, 519, 14248, 18967, 673, 670, 2129, 10458, 4483, 10739, 568, 2016, 676, 513, 815, 678, 631, 1341, 678, 661, 815, 269, 8660, 476, 271, 544, 269, 476, 279, 2020, 1626, 476, 279, 269, 271, 299, 9046, 5590, 1948, 274, 267, 533, 269, 476, 277, 1403, 519, 14361, 1281, 711, 3595, 922, 9817, 267, 621, 786, 540, 1576, 2611, 538, 922, 9764, 10739, 693, 8953, 678, 661, 269, 1677, 3914, 519, 3677, 2234, 4512, 540, 519, 670, 2129, 10458, 4483, 10739, 267, 621, 1590, 2333, 922, 3432, 543, 1648, 1070, 543, 865, 519, 31244, 1590, 581, 17991, 538, 519, 6587, 4287, 540, 519, 5163, 269, 4495, 519, 14361, 10301, 519, 10739, 540, 9370, 267, 952, 621, 1705, 711, 3595, 922, 31244, 267, 621, 1131, 3136, 593, 519, 14248, 18967, 673, 10739, 543, 2887, 1394, 547, 4130, 2234, 4512, 267, 607, 621, 14059, 2899, 811, 519, 8953, 540, 519, 3047, 521, 10739, 269, 1677, 2226, 519, 3677, 8953, 540, 9370, 10739, 267, 621, 1590, 1586, 2333, 922, 3432, 543, 1648, 1070, 799, 1797, 602, 519, 31244, 1590, 1586, 581, 17991, 538, 519, 4287, 6587, 602, 540, 519, 5163, 269, 1280, 519, 13059, 8184, 689, 9370, 547, 3047, 267, 519, 9551, 675, 568, 20328, 267, 543, 519, 31244, 1590, 581, 17991, 538, 519, 4287, 540, 519, 5163, 865, 607, 547, 8519, 519, 3432, 543, 3976, 8519, 519, 7344, 1648, 269, 536, 264, 1215, 1279, 1281, 513, 835, 3118, 7552, 689, 519, 519, 3618, 547, 9370, 1491, 267, 1063, 519, 535, 597, 902, 540, 519, 31244, 286, 634, 942, 540, 519, 835, 3118, 7552, 1131, 581, 835, 3368, 519, 1974, 540, 519, 4483, 10739, 269, 570, 815, 12631, 320, 274, 270, 717, 916, 512, 815, 570, 815, 12631, 320, 274, 270, 717, 916, 815, 12631, 269, 8660, 476, 271, 544, 264, 715, 544, 4846, 4846, 476, 10695, 264, 476, 10019, 264, 815, 521, 815, 476, 6795, 546, 476, 5952, 264, 524, 264, 1677, 3914, 9370, 689, 519, 3618, 267, 519, 10131, 1590, 581, 31764, 865, 602, 9370, 786, 581, 693, 519, 1318, 5544, 950, 519, 14361, 10301, 9370, 521, 10739, 1472, 519, 3141, 269, 2311, 10131, 267, 1018, 1590, 519, 5086, 1063, 513, 3141, 9370, 1899, 543, 513, 3141, 3618, 1899, 581, 286, 2422, 1239, 689, 25715, 674, 269, 4438, 713, 942, 512, 267, 9370, 786, 1780, 998, 606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23806, 540, 519, 8228, 2046, 945, 11014, 4957, 519, 1576, 540, 1480, 10340, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 1705, 519, 1646, 540, 519, 8228, 2046, 3565, 547, 519, 3262, 540, 2093, 1282, 519, 11193, 888, 763, 8228, 2046, 729, 11827, 676, 29312, 717, 9790, 6199, 538, 519, 4571, 268, 1428, 628, 2540, 543, 621, 19117, 519, 1259, 1344, 729, 22412, 730, 538, 2342, 1282, 519, 11193, 269, 13405, 547, 922, 8798, 267, 2835, 941, 1928, 560, 1136, 569, 23652, 676, 1688, 799, 1500, 873, 7199, 543, 4686, 269, 2060, 519, 8228, 2046, 267, 2835, 1223, 581, 9102, 3533, 543, 538, 10339, 13208, 267, 1818, 873, 811, 3015, 547, 1004, 269, 901, 2799, 519, 10009, 540, 1702, 543, 9415, 519, 3262, 540, 1007, 2093, 2429, 2342, 1282, 519, 11193, 780, 763, 1646, 540, 519, 8228, 2046, 1500, 621, 2009, 585, 5640, 543, 5830, 547, 3132, 811, 12215, 540, 741, 1568, 543, 15814, 873, 811, 4922, 269, 901, 8507, 538, 513, 3152, 5385, 540, 2093, 543, 513, 811, 5483, 1857, 269, 3958, 267, 519, 8228, 2046, 1500, 621, 2009, 585, 1004, 547, 5968, 811, 3927, 2066, 1279, 9883, 269, 7179, 539, 1568, 1223, 581, 16487, 811, 1574, 559, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 3848, 476, 280, 281, 769, 1562, 23853, 17716, 910, 10435, 14886, 21661, 15661, 645, 7451, 538, 3163, 11470, 692, 5970, 596, 2479, 16545, 1818, 2828, 609, 2576, 630, 528, 1945, 264, 689, 1776, 4541, 286, 1548, 1131, 602, 11505, 1413, 899, 286, 1215, 1131, 596, 5968, 952, 596, 4769, 1405, 2671, 513, 1455, 1893, 286, 1452, 616, 930, 4241, 2055, 602, 2257, 5708, 5830, 723, 1044, 3695, 998, 954, 14588, 2886, 3347, 1063, 3425, 543, 30659, 256, 2913, 781, 4685, 883, 713, 10578, 1888, 1927, 2439, 5575, 267, 1577, 781, 1174, 1018, 649, 1611, 676, 1412, 26262, 23853, 3347, 9538, 1323, 954, 14588, 2886, 2078, 4016, 547, 4296, 4646, 1063, 2043, 10362, 547, 1114, 2249, 269, 2201, 3047, 267, 891, 1223, 2039, 689, 17052, 1063, 10130, 543, 741, 5411, 267, 2831, 17706, 12371, 25678, 538, 3838, 9249, 267, 610, 1256, 12352, 1063, 1585, 7103, 2324, 2509, 8994, 2640, 269, 1809, 2221, 267, 649, 786, 7832, 2390, 513, 13858, 3460, 3564, 938, 1753, 4541, 547, 3605, 9058, 7554, 1063, 3425, 543, 31373, 14111, 7919, 780, 5331, 4687, 11580, 609, 606, 9813, 1373, 945, 31825, 1210, 1769, 3270, 610, 7574, 18565, 3079, 540, 1913, 256, 769, 27239, 7083, 781, 3209, 834, 763, 7454, 540, 2353, 25792, 2622, 338, 2437, 3197, 1106, 2620, 3929, 27589, 5103, 3355, 7965, 1813, 547, 10409, 3604, 269, 901, 11414, 721, 827, 9639, 267, 1620, 267, 543, 15268, 950, 2679, 3347, 2066, 7496, 269, 898, 849, 8711, 875, 7279, 543, 22371, 666, 1291, 547, 4190, 17052, 780, 3086, 4605, 3054, 2319, 532, 909, 609, 606, 9813, 13442, 547, 4194, 12357, 569, 829, 14658, 532, 2665, 256, 3807, 899, 3984, 9796, 928, 14811, 8124, 1281, 538, 519, 15264, 3126, 834, 10000, 543, 11709, 1639, 2437, 1141, 646, 27180, 1483, 3734, 4411, 2013, 14897, 1734, 7258, 1010, 19700, 269, 8307, 3017, 1934, 568, 602, 646, 3523, 919, 609, 606, 3063, 268, 614, 14111, 7649, 28429, 2189, 5759, 799, 5351, 538, 26500, 10881, 6456, 689, 1480, 12823, 269, 8625, 789, 1232, 1712, 1950, 13410, 15386, 9316, 693, 922, 20923, 780, 3719, 3314, 267, 8108, 971, 8966, 24816, 2501, 609, 2591, 1932, 269, 1280, 3236, 267, 27410, 1379, 6384, 3587, 2565, 269, 5808, 2306, 3664, 286, 1656, 896, 1018, 6381, 286, 14597, 972, 729, 513, 24895, 282, 875, 1131, 621, 581, 17251, 9425, 1247, 18245, 1312, 6105, 262, 5380, 286, 6270, 21140, 5401, 721, 547, 2992, 593, 5683, 2152, 4478, 4205, 1851, 3309, 2516, 780, 11101, 267, 13341, 609, 1875, 25993, 9988, 4161, 938, 26608, 18727, 18765, 540, 4987, 543, 9637, 269, 3657, 891, 30659, 2366, 1304, 7919, 5827, 540, 4830, 2219, 543, 4664, 1175, 899, 721, 286, 2107, 798, 789, 7500, 1759, 17033, 593, 15859, 783, 2623, 286, 5548, 1324, 4514, 883, 891, 2055, 2636, 721, 547, 2263, 2035, 540, 1582, 3125, 543, 3961, 3544, 2757, 1480, 21437, 780, 7661, 267, 2015, 519, 1764, 540, 954, 14588, 2886, 16345, 593, 6848, 8155, 543, 2418, 1394, 593, 3047, 269, 14348, 1857, 6644, 6521, 3823, 10343, 543, 10014, 2899, 8103, 20964, 3346, 609, 10995, 1272, 3029, 11992, 286, 12344, 713, 1131, 5000, 3152, 6568, 543, 9322, 10838, 6000, 607, 1134, 780, 2026, 649, 16833, 909, 938, 3408, 540, 954, 14588, 2886, 3347, 1369, 2257, 5708, 6386, 10704, 1472, 9813, 3346, 267, 1589, 827, 519, 1761, 1451, 902, 543, 3156, 6251, 547, 1753, 269, 1635, 8508, 4763, 267, 5807, 2792, 267, 5466, 1379, 20817, 267, 15819, 10054, 267, 543, 5009, 13784, 267, 649, 666, 20741, 6793, 4296, 711, 1152, 609, 19858, 17184, 15274, 855, 849, 1851, 8284, 3618, 13530, 269, 2991, 718, 267, 3884, 1405, 2870, 6209, 3347, 835, 540, 519, 1034, 19644, 3344, 540, 1373, 9800, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 666, 2760, 1205, 2614, 3020, 6760, 1862, 5556, 17894, 267, 596, 4076, 1336, 707, 1004, 563, 10000, 543, 11709, 1639, 454, 295, 739, 9796, 928, 14811, 8124, 9843, 547, 519, 6316, 540, 519, 818, 8157, 5858, 547, 8495, 513, 12357, 14897, 766, 689, 715, 727, 267, 14522, 269, 5455, 543, 11709, 1639, 27180, 12357, 4411, 2013, 14897, 1734, 609, 1142, 1007, 4005, 540, 519, 5734, 3020, 6760, 29929, 269, 17897, 476, 272, 281, 634, 2013, 540, 7508, 3162, 11908, 4116, 267, 570, 4673, 6182, 13318, 1737, 267, 3366, 547, 1079, 10654, 338, 269, 17897, 476, 273, 281, 634, 14897, 766, 540, 26701, 531, 1234, 2358, 518, 267, 513, 1762, 3993, 945, 20374, 689, 513, 6552, 12548, 7823, 4884, 269, 17897, 476, 274, 281, 634, 3345, 4639, 23497, 14897, 766, 540, 12891, 2917, 700, 1681, 24581, 305, 684, 1676, 267, 606, 6805, 4807, 945, 4682, 7508, 689, 519, 4563, 10623, 564, 13780, 4095, 1763, 3569, 269, 17897, 476, 275, 281, 634, 2013, 540, 7508, 14522, 7111, 267, 23509, 21411, 701, 2728, 330, 563, 763, 1715, 3840, 8648, 454, 1607, 568, 1018, 519, 3377, 1058, 3280, 899, 269, 634, 7887, 2984, 540, 938, 942, 267, 5143, 676, 519, 1655, 20859, 538, 519, 1158, 269, 21118, 539, 676, 7812, 4446, 8663, 334, 543, 17939, 27444, 570, 11232, 333, 1047, 269, 26062, 3764, 513, 1554, 267, 2947, 2395, 513, 3018, 267, 1224, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1103, 1562, 23853, 17716, 257, 607, 851, 540, 834, 11227, 1315, 3163, 11470, 1315, 1325, 1329, 13555, 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, 6505, 543, 13566, 1554, 267, 9741, 15207, 4682, 547, 519, 11824, 609, 1010, 3158, 543, 19033, 269, 1358, 5129, 538, 519, 5070, 543, 2220, 600, 538, 519, 5836, 269, 2991, 930, 942, 267, 789, 4956, 547, 1491, 513, 3802, 2059, 519, 32132, 547, 1413, 585, 15798, 17850, 338, 780, 2026, 789, 15336, 267, 9741, 15207, 8068, 865, 1082, 1114, 5546, 543, 4778, 540, 16115, 16559, 1472, 269, 1261, 13603, 909, 835, 543, 4280, 267, 834, 300, 558, 267, 1018, 781, 713, 8119, 16474, 14452, 267, 834, 6546, 781, 513, 15798, 17850, 267, 6653, 24711, 269, 898, 1031, 547, 581, 1753, 547, 513, 2370, 4262, 13442, 1572, 513, 2879, 841, 3010, 28012, 15207, 729, 27086, 543, 4797, 547, 4584, 909, 811, 16115, 269, 3973, 646, 4718, 513, 8273, 835, 543, 1767, 267, 834, 32452, 267, 1413, 693, 713, 835, 667, 611, 256, 898, 781, 5458, 10590, 667, 611, 20493, 543, 6045, 267, 834, 8133, 267, 621, 781, 2462, 1317, 519, 2879, 841, 945, 5030, 3330, 8057, 7444, 936, 942, 267, 1818, 922, 7387, 1332, 1932, 3010, 5445, 6854, 6972, 2394, 789, 6603, 513, 13719, 851, 540, 519, 5836, 1141, 6266, 540, 6263, 15798, 17850, 338, 941, 13735, 269, 9741, 15207, 18761, 1524, 547, 5905, 873, 543, 4280, 267, 834, 3963, 616, 891, 16115, 3001, 267, 16474, 8119, 16474, 12943, 267, 834, 17829, 616, 4816, 15798, 17850, 338, 267, 15210, 269, 1879, 519, 4816, 25658, 616, 4712, 547, 4734, 741, 5321, 267, 789, 1847, 547, 1265, 1007, 4025, 547, 2661, 3010, 291, 611, 1287, 4951, 9741, 15207, 875, 547, 9900, 3180, 513, 1507, 7387, 543, 6432, 585, 1022, 4992, 4947, 689, 3330, 269, 1677, 15207, 781, 9983, 267, 646, 4862, 513, 25861, 14467, 6846, 269, 834, 1432, 781, 602, 3280, 267, 667, 611, 8119, 646, 4280, 8049, 569, 269, 834, 2005, 781, 519, 6263, 2879, 841, 3330, 2437, 667, 611, 14452, 269, 834, 2691, 596, 5905, 519, 7387, 267, 621, 7575, 3533, 267, 2870, 602, 14467, 3280, 3010, 5475, 10655, 1896, 15798, 17850, 338, 267, 9741, 15207, 2893, 1524, 676, 519, 1216, 543, 3323, 25786, 873, 538, 1585, 2081, 910, 16298, 873, 909, 2786, 267, 8108, 10580, 267, 543, 1256, 10518, 532, 873, 593, 1283, 540, 1142, 824, 269, 901, 1500, 1864, 4898, 952, 646, 1223, 1118, 1945, 3730, 856, 540, 1346, 4190, 16782, 780, 257, 20756, 3214, 267, 594, 1589, 649, 666, 1711, 513, 1187, 3014, 1210, 891, 16115, 2437, 16474, 6700, 269, 2701, 3576, 2185, 2147, 13355, 16115, 543, 5116, 1079, 6849, 20733, 543, 1079, 2427, 1811, 269, 2060, 513, 12837, 267, 1352, 18202, 513, 4130, 7387, 1063, 873, 899, 4730, 6367, 1782, 269, 9741, 15207, 804, 11474, 31113, 543, 8678, 538, 519, 3014, 780, 7661, 267, 1310, 3108, 540, 3695, 543, 4730, 267, 789, 14095, 909, 741, 28378, 543, 18188, 1394, 1753, 269, 2201, 519, 1259, 1394, 267, 9741, 15207, 9684, 539, 1010, 3237, 585, 3450, 1864, 3579, 8631, 827, 15798, 17850, 338, 543, 7948, 1405, 7227, 585, 1776, 7045, 1927, 269, 1656, 1169, 3781, 1354, 21557, 267, 646, 1131, 1404, 519, 15798, 17850, 3014, 609, 1010, 1920, 267, 10027, 5109, 8823, 540, 741, 5863, 1554, 6170, 693, 519, 11824, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8005, 6785, 12624, 7186, 814, 513, 29063, 2631, 540, 9644, 286, 1306, 621, 7140, 856, 267, 972, 616, 9118, 2247, 1532, 17344, 1782, 1919, 8345, 1175, 3544, 707, 7450, 269, 3245, 513, 795, 531, 1901, 25123, 24320, 2213, 607, 513, 570, 3146, 343, 610, 513, 8768, 602, 5654, 899, 519, 26355, 267, 3006, 2470, 21593, 17444, 15361, 593, 782, 540, 721, 269, 17949, 713, 4015, 540, 6337, 18445, 2470, 568, 519, 10700, 929, 1678, 3122, 563, 288, 795, 531, 1901, 25123, 602, 5654, 899, 513, 570, 7304, 1410, 454, 2171, 2461, 1100, 12779, 2632, 5505, 855, 519, 2063, 942, 649, 13761, 267, 17878, 1100, 3476, 887, 600, 519, 4541, 630, 628, 1678, 22556, 585, 602, 1040, 1284, 616, 6126, 547, 1867, 602, 519, 14191, 3448, 547, 519, 570, 10455, 2335, 28683, 556, 343, 568, 713, 795, 531, 1901, 25123, 14723, 563, 22154, 476, 276, 20878, 26615, 649, 1336, 538, 938, 13452, 2221, 3034, 763, 7887, 26615, 538, 519, 1158, 688, 2812, 689, 9039, 824, 982, 23427, 3345, 24368, 267, 5245, 256, 634, 620, 332, 26663, 4173, 6047, 631, 1054, 814, 513, 627, 25891, 12209, 3966, 540, 476, 2767, 17744, 269, 634, 4102, 268, 1197, 4173, 6047, 631, 1054, 1185, 513, 12209, 3966, 540, 476, 3607, 17744, 610, 476, 1691, 6279, 563, 2108, 27839, 1540, 4672, 593, 1250, 2545, 935, 344, 5654, 899, 513, 1750, 29609, 538, 1193, 728, 3034, 296, 576, 21272, 2356, 2097, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7725, 331, 1938, 6185, 788, 3789, 9789, 21177, 540, 3047, 2326, 1310, 1648, 540, 5163, 540, 8665, 540, 11761, 1372, 920, 1162, 547, 519, 1448, 1141, 621, 3112, 4163, 2326, 1022, 3476, 269, 3493, 3789, 568, 6574, 514, 1970, 8323, 2127, 1765, 29788, 543, 1970, 543, 693, 4262, 1377, 563, 291, 5085, 14011, 7263, 328, 307, 542, 2704, 561, 4517, 13257, 20231, 308, 9654, 3201, 674, 3198, 18688, 21815, 2464, 6730, 667, 7419, 2464, 645, 2752, 6020, 2207, 4959, 299, 13263, 454, 306, 539, 2939, 590, 3278, 20767, 21747, 9412, 2558, 14746, 281, 2608, 21918, 9693, 568, 519, 1152, 4224, 4646, 538, 476, 273, 1114, 2081, 630, 23755, 543, 5214, 264, 2608, 763, 476, 274, 2101, 4224, 2200, 540, 9098, 616, 7799, 9693, 267, 15021, 267, 543, 21419, 1756, 2608, 10870, 531, 5250, 1765, 14154, 2969, 2242, 547, 700, 22218, 25492, 799, 2242, 547, 645, 3951, 9331, 2562, 302, 4785, 799, 2242, 547, 4888, 8025, 305, 3722, 25492, 630, 1492, 23698, 5755, 264, 22102, 652, 1765, 743, 599, 1287, 521, 2830, 1287, 5070, 1287, 1178, 12069, 5141, 599, 568, 519, 10545, 267, 865, 621, 786, 7017, 856, 2063, 269, 3400, 767, 568, 519, 4102, 267, 865, 621, 15884, 7017, 856, 1101, 2529, 539, 9323, 786, 7017, 856, 950, 972, 568, 1100, 3476, 2614, 1648, 540, 332, 10056, 547, 4163, 873, 563, 3383, 559, 589, 16880, 1765, 21065, 639, 543, 4158, 538, 2681, 630, 9008, 31542, 264, 645, 16880, 1765, 331, 7660, 538, 2681, 543, 30450, 814, 4547, 6886, 1524, 689, 1283, 31542, 595, 16880, 1765, 933, 9312, 2385, 1570, 3383, 559, 568, 4646, 689, 29056, 540, 4224, 543, 689, 5214, 2534, 3383, 559, 568, 10690, 15998, 540, 4224, 543, 10036, 6508, 689, 649, 9312, 4224, 332, 12089, 609, 5214, 1570, 630, 21065, 639, 994, 12850, 267, 524, 302, 660, 269, 4107, 540, 519, 1216, 593, 3047, 568, 6070, 1216, 630, 9032, 8472, 476, 273, 260, 568, 19526, 909, 538, 519, 4672, 11503, 476, 272, 260, 568, 4195, 1216, 649, 666, 4235, 1765, 2865, 540, 713, 568, 1336, 538, 519, 2666, 3047, 779, 15195, 568, 7791, 2943, 13113, 630, 1492, 4890, 2179, 1281, 711, 1689, 264, 12850, 21694, 1765, 11592, 11905, 630, 29715, 338, 1545, 264, 15239, 6261, 2002, 11905, 630, 14725, 4752, 994, 335, 7775, 11675, 640, 543, 829, 9288, 1464, 303, 528, 13920, 1765, 26920, 540, 31736, 2230, 538, 513, 1570, 269, 10049, 1500, 540, 17031, 5536, 723, 513, 2603, 540, 335, 648, 2230, 269, 10049, 899, 10036, 602, 616, 6366, 543, 16070, 723, 1447, 31736, 2230, 269, 634, 2179, 540, 1093, 4046, 864, 568, 3152, 952, 5536, 616, 519, 1482, 2450, 2864, 982, 952, 6404, 7306, 616, 1459, 10422, 1069, 324, 1464, 9789, 2702, 540, 513, 1570, 547, 10141, 1216, 269, 4270, 1606, 9285, 630, 338, 877, 2450, 543, 3337, 264, 332, 17467, 616, 1360, 15449, 762, 630, 294, 30728, 543, 590, 13263, 1040, 3412, 704, 1889, 762, 1765, 4248, 1281, 711, 1780, 998, 713, 1570, 1765, 743, 599, 24502, 616, 1360, 6366, 267, 865, 2680, 327, 965, 972, 568, 31736, 2230, 267, 519, 22405, 616, 711, 4448, 454, 23950, 302, 1495, 12850, 3383, 559, 568, 2808, 519, 7997, 1993, 513, 3130, 12850, 7305, 568, 835, 1283, 540, 1492, 7997, 540, 25294, 13985, 11717, 1765, 331, 9707, 540, 4224, 602, 8637, 543, 3560, 338, 1216, 11884, 454, 298, 541, 560, 5440, 2762, 10127, 560, 2882, 2934, 899, 23572, 267, 16173, 32440, 267, 543, 12535, 3361, 676, 3001, 15780, 269, 10127, 560, 3029, 950, 12539, 545, 3679, 630, 4596, 273, 1341, 670, 273, 302, 264, 4744, 11510, 14680, 543, 12373, 558, 924, 11354, 1765, 3602, 519, 1216, 3349, 10742, 519, 2627, 454, 309, 597, 6265, 807, 30578, 267, 733, 17679, 597, 6265, 807, 814, 513, 476, 274, 5479, 1032, 1686, 543, 3568, 15455, 689, 519, 19232, 32223, 267, 300, 525, 32223, 267, 543, 595, 523, 32223, 661, 6652, 5861, 334, 770, 531, 30577, 568, 519, 21836, 851, 540, 22622, 269, 20767, 9323, 689, 519, 29630, 1014, 300, 870, 1622, 723, 2813, 519, 22622, 17822, 269, 26187, 2812, 616, 10731, 538, 519, 26066, 30577, 25467, 621, 568, 513, 1164, 18254, 1858, 1317, 540, 922, 1970, 15038, 10422, 1221, 23992, 568, 9674, 689, 519, 26066, 30577, 676, 513, 12096, 7412, 269, 634, 623, 1221, 23992, 935, 13935, 1164, 2157, 540, 5337, 15667, 543, 23009, 545, 7725, 563, 309, 597, 6265, 807, 30578, 267, 733, 269, 7197, 15455, 538, 22622, 616, 7286, 267, 785, 21899, 602, 22622, 729, 2899, 896, 572, 1177, 831, 12171, 1601, 2812, 616, 1336, 538, 24348, 549, 4242, 538, 519, 8713, 267, 15283, 267, 543, 6673, 2889, 9109, 806, 10422, 1446, 32223, 267, 12379, 32223, 267, 543, 290, 523, 32223, 15455, 723, 782, 1044, 11398, 269, 23325, 23374, 568, 519, 9510, 1858, 540, 519, 1533, 540, 22622, 269, 9791, 23374, 729, 519, 1267, 540, 3345, 25567, 320, 543, 4000, 2458, 4575, 269, 9791, 23374, 568, 849, 606, 5337, 15667, 543, 23009, 545, 4224, 26730, 3990, 1858, 269, 11749, 2917, 543, 23374, 814, 25649, 10239, 602, 941, 4646, 1282, 519, 16580, 540, 3345, 25567, 320, 543, 4000, 269, 634, 16580, 3812, 519, 29630, 1014, 15142, 269, 9603, 547, 1164, 935, 1417, 5928, 540, 14680, 7933, 565, 558, 924, 267, 737, 541, 560, 27177, 568, 8789, 269, 3509, 15455, 538, 11749, 2917, 543, 23374, 6993, 653, 26803, 1014, 17934, 879, 814, 12150, 31393, 543, 24966, 269, 26187, 2812, 543, 5755, 12074, 616, 680, 550, 3814, 563, 293, 1601, 2812, 1892, 26187, 2812, 666, 581, 12873, 607, 1107, 631, 9529, 1765, 322, 822, 640, 1107, 595, 6814, 1765, 274, 291, 18187, 320, 540, 11248, 1107, 22731, 1765, 716, 783, 3662, 538, 4672, 267, 993, 828, 267, 610, 13545, 8486, 1107, 8891, 337, 1881, 1765, 332, 1468, 568, 8719, 676, 6886, 1107, 12039, 15455, 1765, 933, 4266, 4224, 6106, 1317, 891, 941, 1360, 10731, 267, 5001, 267, 543, 2110, 24331, 563, 9824, 894, 25441, 32027, 2621, 538, 1931, 610, 5311, 1510, 26471, 606, 3169, 2085, 269, 4521, 540, 8111, 6570, 4521, 540, 9061, 4211, 583, 1154, 17716, 769, 606, 3768, 626, 32328, 4224, 30084, 267, 519, 9510, 6106, 616, 16384, 928, 748, 31593, 630, 663, 13337, 264, 568, 7820, 517, 519, 5377, 543, 1205, 7820, 982, 519, 6106, 621, 11912, 2066, 607, 596, 979, 909, 563, 27028, 5193, 25441, 1773, 5217, 606, 3169, 2085, 593, 513, 1570, 267, 2356, 998, 14599, 610, 32619, 6580, 27793, 268, 1691, 6580, 568, 1031, 585, 323, 908, 5214, 1570, 909, 547, 2004, 267, 1822, 1296, 2025, 269, 308, 3757, 1756, 1765, 30098, 519, 9510, 549, 4242, 1765, 1575, 547, 476, 275, 269, 276, 5479, 1296, 295, 2788, 3734, 568, 519, 2179, 540, 942, 621, 339, 1389, 585, 476, 2004, 260, 540, 513, 14599, 8001, 24236, 547, 2736, 1524, 20041, 922, 7123, 8250, 1587, 454, 10481, 11043, 5384, 2171, 2736, 1524, 2983, 11043, 5384, 883, 1765, 292, 6652, 630, 331, 17999, 6498, 2507, 1742, 5976, 14486, 2621, 1070, 11270, 338, 630, 22372, 593, 12039, 26187, 2812, 1070, 543, 22977, 5255, 338, 630, 20791, 652, 2507, 22372, 593, 2010, 540, 1272, 543, 568, 1336, 1152, 538, 290, 523, 32223, 16527, 264, 7093, 322, 3711, 6929, 16527, 1765, 3445, 260, 540, 782, 27230, 1686, 269, 769, 519, 4098, 267, 712, 4541, 1185, 1100, 5135, 269, 12539, 8166, 729, 519, 2101, 3154, 5861, 12505, 27627, 1765, 9188, 25728, 1218, 540, 4544, 25984, 13479, 1790, 22004, 2135, 4723, 602, 1291, 547, 5137, 540, 17645, 4494, 543, 606, 5790, 602, 26625, 9285, 1272, 303, 1446, 32223, 16527, 1765, 21848, 540, 769, 591, 974, 18093, 543, 519, 5137, 540, 303, 836, 2801, 320, 300, 525, 32223, 16527, 1765, 21848, 540, 1234, 696, 3796, 1765, 19734, 14795, 20441, 543, 303, 836, 2801, 320, 9397, 6306, 290, 523, 32223, 16527, 1765, 21848, 540, 26495, 1023, 1765, 2006, 2501, 883, 6228, 2171, 2661, 538, 519, 595, 523, 32223, 16527, 267, 538, 519, 2372, 15715, 776, 11270, 267, 514, 519, 10765, 9210, 5255, 0, 9827, 1336, 538, 281, 634, 28445, 267, 6481, 267, 13751, 267, 11038, 267, 15610, 267, 9504, 563, 288, 5394, 2989, 6712, 540, 519, 15466, 10359, 540, 519, 3750, 4092, 1063, 519, 32711, 1355, 543, 519, 32640, 563, 263, 2304, 10532, 264, 519, 851, 540, 519, 15466, 7113, 545, 540, 519, 3750, 602, 13462, 519, 32711, 1355, 609, 519, 32640, 454, 18933, 3558, 547, 1007, 519, 28445, 454, 347, 301, 1735, 1475, 272, 13954, 4290, 10706, 1560, 910, 519, 851, 540, 519, 7113, 545, 540, 519, 3750, 1063, 519, 32711, 1355, 10359, 543, 519, 32640, 282, 834, 1492, 524, 18416, 1560, 7472, 25694, 9644, 257, 347, 0, 1607, 568, 519, 7372, 13303, 14229, 752, 4323, 693, 519, 11135, 540, 519, 10089, 613, 454, 4002, 5463, 269, 476, 1626, 267, 476, 3707, 275, 267, 29747, 13609, 9250, 606, 16529, 855, 21354, 9709, 4831, 3430, 871, 5921, 547, 2736, 519, 1394, 540, 519, 20466, 4229, 543, 1450, 519, 21647, 547, 27774, 519, 4708, 2474, 602, 1131, 1439, 519, 2112, 563, 21156, 267, 621, 16798, 1010, 14710, 267, 855, 711, 1354, 16550, 7366, 540, 5215, 540, 7980, 593, 1142, 2427, 547, 4339, 538, 15280, 267, 2282, 5025, 337, 8157, 2157, 540, 4411, 9624, 6117, 5162, 15420, 543, 12798, 269, 19737, 513, 9983, 4323, 609, 19421, 540, 15523, 568, 1100, 2653, 9028, 269, 3371, 779, 875, 789, 1705, 621, 693, 519, 11135, 540, 519, 10089, 613, 563, 5575, 267, 519, 16586, 15748, 513, 11523, 6658, 593, 782, 10618, 269, 3690, 332, 3827, 1644, 2047, 547, 519, 18086, 941, 3908, 547, 519, 15146, 3515, 543, 4172, 13205, 269, 1809, 1977, 4987, 729, 849, 10010, 609, 513, 2489, 726, 25128, 538, 519, 4320, 540, 4987, 2094, 519, 16586, 1185, 15504, 856, 540, 5333, 543, 13671, 538, 5125, 563, 1103, 5333, 267, 4436, 10618, 941, 811, 882, 5050, 593, 519, 946, 540, 5925, 6329, 267, 799, 1223, 581, 18448, 539, 269, 3943, 4961, 941, 849, 2693, 547, 1867, 13303, 5322, 267, 3246, 2282, 1483, 6066, 703, 601, 269, 2201, 519, 4436, 2427, 540, 519, 8473, 267, 1312, 540, 891, 5383, 20374, 563, 310, 16017, 267, 519, 1906, 5359, 602, 1705, 5815, 513, 4436, 19221, 267, 971, 607, 519, 6898, 540, 9676, 4436, 964, 518, 1562, 267, 941, 16053, 610, 1490, 19813, 1055, 607, 2150, 6412, 18976, 563, 1103, 519, 2395, 3056, 909, 547, 5463, 269, 476, 1626, 267, 891, 2042, 941, 31903, 676, 513, 10053, 20893, 602, 16135, 20466, 11028, 18590, 14742, 543, 3908, 15287, 547, 519, 1448, 602, 20466, 7980, 941, 12691, 547, 5544, 1454, 4436, 3350, 267, 2523, 538, 519, 5394, 1488, 323, 15086, 4104, 563, 8601, 891, 5383, 267, 519, 4436, 7708, 641, 19221, 729, 513, 2845, 6750, 3781, 332, 732, 269, 13609, 779, 1544, 2838, 476, 1789, 15523, 267, 1519, 476, 1321, 3443, 10045, 15523, 267, 543, 936, 476, 272, 267, 1822, 14742, 581, 16487, 547, 519, 1488, 323, 15086, 1210, 1152, 14884, 543, 9640, 547, 3970, 4492, 4616, 269, 769, 1840, 547, 782, 7727, 10057, 267, 13609, 4941, 547, 3942, 476, 275, 269, 276, 2929, 17529, 540, 4492, 543, 476, 2004, 5721, 2903, 338, 540, 993, 32099, 585, 519, 4434, 563, 5472, 540, 713, 19221, 1185, 547, 1491, 1747, 896, 20466, 2011, 4323, 1510, 519, 27469, 3478, 8797, 269, 5080, 29418, 267, 519, 16586, 941, 6140, 3811, 563, 763, 7708, 641, 19221, 6712, 729, 2965, 811, 3811, 982, 9709, 609, 5111, 476, 272, 267, 4335, 7708, 641, 14884, 543, 476, 4335, 3761, 14884, 8876, 476, 1321, 6186, 1819, 15523, 543, 476, 3066, 26462, 15523, 547, 519, 588, 1645, 2127, 585, 519, 18086, 563, 763, 19666, 19221, 729, 1447, 3811, 269, 634, 16586, 1185, 476, 272, 267, 7742, 14742, 4712, 1354, 5463, 269, 476, 1626, 2443, 476, 7742, 1447, 982, 8385, 9709, 563, 3719, 519, 4365, 5828, 538, 519, 4436, 779, 3870, 538, 519, 2395, 1354, 519, 4323, 269, 634, 5230, 535, 9233, 602, 3908, 11028, 18590, 19426, 849, 16135, 1034, 824, 14742, 267, 6120, 1359, 519, 20466, 2011, 4229, 543, 14874, 602, 5413, 563, 3383, 267, 593, 5463, 269, 476, 1626, 267, 519, 16586, 9250, 741, 1614, 17376, 784, 539, 4323, 1996, 1018, 941, 7361, 538, 23024, 27624, 543, 25356, 10136, 21108, 519, 4104, 269, 634, 1034, 8396, 268, 2819, 10136, 1185, 1044, 6410, 547, 824, 2127, 547, 5965, 585, 606, 20466, 12289, 2066, 519, 4436, 10665, 563, 763, 16586, 2417, 7294, 519, 1977, 779, 3510, 676, 11488, 5215, 540, 2296, 18702, 4436, 10136, 3297, 1977, 3515, 538, 9676, 26977, 543, 14247, 10134, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 282, 6616, 602, 1412, 1506, 17763, 262, 6763, 585, 896, 543, 1412, 577, 1180, 337, 262, 12211, 547, 20162, 267, 10393, 519, 2165, 2306, 2631, 607, 2576, 945, 7683, 19048, 827, 2348, 3978, 10108, 5103, 15877, 2589, 2439, 3383, 972, 596, 723, 621, 267, 2104, 8059, 1235, 256, 2060, 891, 2645, 693, 1688, 267, 1100, 2564, 8675, 610, 14542, 2165, 786, 1796, 513, 4960, 1996, 707, 23773, 6863, 1983, 269, 5901, 8026, 267, 3695, 267, 543, 12423, 1007, 1913, 267, 1317, 3314, 267, 1169, 1390, 7045, 337, 6238, 12341, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8368, 540, 12937, 454, 268, 476, 272, 4208, 568, 621, 1271, 547, 948, 1053, 1174, 519, 1909, 602, 3413, 1460, 525, 1404, 538, 519, 2296, 1893, 888, 268, 476, 273, 1548, 798, 596, 917, 827, 18772, 525, 543, 21879, 525, 888, 268, 476, 274, 4208, 568, 621, 1271, 547, 917, 519, 3597, 540, 513, 2262, 888, 268, 476, 275, 4208, 616, 18772, 525, 543, 21879, 525, 1271, 538, 2296, 888, 268, 476, 276, 1215, 616, 21879, 525, 1031, 547, 4228, 707, 6863, 888, 3963, 568, 621, 1271, 547, 948, 1053, 1174, 519, 1909, 602, 3413, 1460, 525, 1404, 538, 519, 2296, 1893, 888, 288, 742, 1460, 525, 616, 2516, 540, 5022, 602, 616, 3773, 547, 519, 4098, 610, 519, 1439, 540, 1913, 547, 1118, 1007, 1913, 269, 898, 568, 1360, 1271, 547, 4001, 3413, 1460, 566, 607, 621, 2337, 6267, 7058, 519, 2495, 540, 1007, 1913, 789, 1265, 267, 543, 4020, 1007, 3029, 6707, 563, 3963, 568, 621, 1271, 547, 1451, 5072, 543, 3413, 1460, 525, 888, 10743, 4324, 689, 6044, 538, 3490, 1913, 267, 5072, 543, 3413, 1460, 525, 607, 851, 540, 741, 6863, 6044, 269, 1306, 789, 1451, 891, 2262, 2694, 267, 621, 2337, 873, 547, 5659, 1808, 7164, 1913, 789, 7237, 267, 543, 621, 2337, 873, 547, 3313, 519, 2495, 540, 891, 1913, 563, 3963, 1058, 649, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7093, 25785, 525, 267, 22206, 1460, 525, 267, 543, 24306, 257, 607, 851, 540, 834, 25503, 1315, 667, 17152, 1299, 12910, 11659, 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 ]
[ 4699, 273, 0, 258, 674, 3305, 328, 5937, 328, 2350, 853, 1846, 269, 910, 12433, 1297, 540, 2890, 560, 919, 780, 272, 269, 4455, 476, 2537, 267, 476, 1001, 273, 692, 2162, 2144, 545, 29580, 272, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 692, 29991, 519, 1297, 540, 2890, 560, 919, 1141, 1079, 5536, 723, 723, 1648, 476, 273, 324, 309, 267, 1614, 723, 476, 274, 324, 309, 267, 1614, 723, 1648, 476, 275, 324, 309, 267, 543, 1079, 723, 476, 276, 324, 309, 780, 1015, 967, 626, 3907, 27720, 3487, 2873, 454, 272, 9325, 4847, 829, 1533, 780, 15770, 272, 815, 476, 272, 324, 309, 31330, 273, 815, 476, 273, 324, 309, 31330, 274, 815, 476, 274, 324, 309, 31330, 275, 815, 476, 275, 324, 309, 31330, 276, 815, 476, 276, 324, 309, 31330, 277, 815, 476, 277, 324, 309, 454, 326, 272, 815, 476, 272, 575, 273, 815, 476, 276, 575, 274, 815, 476, 1015, 575, 275, 815, 476, 1015, 575, 276, 815, 476, 276, 575, 277, 815, 476, 272, 692, 273, 269, 31999, 4834, 7445, 3667, 527, 346, 10592, 335, 1601, 4601, 4399, 28235, 23533, 4151, 328, 284, 7445, 2765, 346, 272, 7346, 3667, 8578, 346, 324, 8703, 263, 15770, 3709, 328, 18511, 19031, 8358, 330, 307, 15396, 272, 10592, 274, 269, 634, 3801, 693, 513, 3070, 692, 7712, 519, 5536, 616, 967, 626, 3907, 27720, 594, 2219, 602, 972, 1131, 1152, 581, 835, 2890, 8063, 267, 855, 594, 1810, 1405, 1589, 602, 713, 568, 1318, 1862, 666, 2576, 1448, 803, 538, 519, 1318, 4287, 593, 875, 547, 1376, 713, 1966, 2496, 273, 269, 4455, 476, 2537, 267, 476, 1001, 273, 692, 2162, 2144, 545, 29580, 272, 692, 29664, 323, 621, 856, 267, 729, 7508, 513, 1360, 4143, 3830, 563, 259, 342, 18155, 3667, 346, 293, 291, 14990, 3847, 18217, 318, 272, 267, 301, 318, 273, 12101, 3667, 346, 1862, 348, 301, 5332, 9368, 6661, 4501, 493, 1422, 2765, 346, 326, 19553, 256, 2410, 301, 19553, 256, 315, 3847, 14116, 19553, 9539, 19553, 9368, 25631, 21456, 259, 342, 18155, 3667, 346, 293, 291, 14990, 3847, 18217, 318, 272, 267, 301, 318, 273, 267, 301, 318, 274, 267, 301, 318, 275, 267, 301, 318, 276, 267, 301, 318, 277, 9368, 21174, 3847, 7268, 2765, 346, 326, 318, 272, 256, 2410, 301, 318, 272, 256, 315, 3847, 14116, 318, 272, 9539, 318, 272, 9368, 25631, 4153, 2431, 9385, 3847, 7268, 2765, 346, 326, 318, 273, 256, 2410, 301, 318, 273, 256, 315, 3847, 14116, 318, 273, 9539, 318, 273, 9368, 25631, 4153, 2431, 9385, 3847, 7268, 2765, 346, 326, 318, 274, 256, 2410, 301, 318, 274, 256, 315, 3847, 14116, 318, 274, 9539, 318, 274, 9368, 25631, 4153, 2431, 9385, 3847, 7268, 2765, 346, 326, 318, 275, 256, 2410, 301, 318, 275, 256, 315, 3847, 14116, 318, 275, 9539, 318, 275, 9368, 25631, 4153, 2431, 9385, 3847, 7268, 2765, 346, 326, 318, 276, 256, 2410, 301, 318, 276, 256, 315, 3847, 14116, 318, 276, 9539, 318, 276, 9368, 25631, 4153, 2431, 9385, 3847, 7268, 2765, 346, 326, 318, 277, 256, 2410, 301, 318, 277, 256, 315, 3847, 14116, 318, 277, 9539, 318, 277, 9368, 25631, 4153, 2431, 7751, 454, 259, 342, 18155, 3667, 346, 293, 291, 3686, 263, 271, 267, 273, 267, 274, 267, 274, 267, 273, 267, 271, 21174, 3847, 7268, 2765, 346, 272, 256, 2410, 271, 256, 263, 272, 268, 271, 25631, 4153, 2431, 9385, 3847, 7268, 2765, 346, 276, 256, 2410, 273, 256, 263, 276, 268, 273, 25631, 4153, 2431, 9385, 3847, 7268, 2765, 346, 1015, 256, 2410, 274, 256, 263, 1015, 268, 274, 25631, 4153, 2431, 9385, 3847, 7268, 2765, 346, 1015, 256, 2410, 274, 256, 263, 1015, 268, 274, 25631, 4153, 2431, 9385, 3847, 7268, 2765, 346, 276, 256, 2410, 273, 256, 263, 276, 268, 273, 25631, 4153, 2431, 9385, 3847, 7268, 2765, 346, 272, 256, 2410, 271, 256, 263, 272, 268, 271, 25631, 4153, 2431, 7751, 454, 24834, 340, 919, 547, 476, 272, 267, 24496, 267, 1822, 0, 258, 7689, 476, 1015, 281, 7502, 1707, 24544, 543, 519, 25355, 14497, 692, 1012, 11137, 692, 23005, 1456, 950, 3615, 593, 519, 5496, 5905, 568, 606, 1271, 2460, 540, 1034, 3756, 269, 769, 713, 3992, 649, 3513, 1413, 693, 875, 519, 25355, 14497, 543, 519, 20028, 16754, 666, 581, 1031, 547, 2268, 519, 3845, 1063, 1079, 2798, 593, 519, 7077, 267, 543, 1287, 6430, 2436, 1346, 1079, 2798, 630, 528, 3014, 3197, 264, 616, 15700, 780, 1012, 31745, 528, 9208, 692, 2162, 5871, 11759, 4569, 11621, 692, 1892, 476, 279, 14371, 269, 278, 910, 15233, 519, 25355, 14497, 547, 3313, 7164, 2427, 13080, 538, 1318, 12730, 538, 1483, 8996, 543, 6310, 2042, 538, 1079, 543, 1614, 7516, 780, 1012, 20505, 692, 2162, 4841, 786, 581, 2111, 547, 1384, 1892, 23227, 622, 602, 10580, 786, 16937, 952, 519, 3845, 1063, 741, 7740, 568, 1447, 982, 519, 2040, 540, 741, 2234, 4512, 563, 1892, 8058, 602, 519, 3845, 540, 1079, 2798, 1178, 335, 1117, 538, 476, 273, 7516, 666, 581, 6719, 607, 519, 30494, 540, 513, 1318, 6906, 563, 1892, 13760, 602, 519, 25355, 14497, 2636, 596, 547, 5173, 519, 30494, 540, 513, 1318, 6906, 1210, 519, 3259, 540, 519, 1079, 7953, 563, 1892, 15233, 519, 25355, 14497, 547, 5173, 519, 3845, 1063, 519, 7740, 540, 1079, 3615, 780, 23175, 338, 5455, 256, 7490, 1118, 513, 5299, 540, 1022, 6054, 596, 1544, 547, 2671, 609, 1053, 780, 258, 9752, 6651, 692, 1012, 15775, 29035, 692, 2162, 3657, 789, 29110, 4221, 2496, 22428, 1079, 3615, 616, 3001, 998, 2230, 267, 1142, 835, 2348, 922, 1378, 630, 343, 11971, 264, 10974, 269, 1879, 798, 741, 8728, 1376, 547, 16937, 286, 1358, 6157, 16937, 952, 741, 10974, 616, 9838, 630, 343, 272, 815, 1535, 273, 267, 586, 272, 815, 586, 273, 1070, 855, 1018, 952, 741, 10974, 616, 9674, 676, 513, 1507, 3845, 286, 3807, 875, 1507, 1281, 602, 3845, 991, 547, 581, 1354, 741, 8728, 5905, 2496, 24058, 11226, 616, 1883, 1934, 281, 581, 2386, 547, 6516, 713, 593, 519, 4604, 2439, 1103, 835, 10155, 267, 621, 779, 2653, 547, 5173, 950, 1079, 3615, 16937, 269, 769, 713, 1383, 267, 519, 2699, 5858, 814, 513, 8953, 540, 476, 272, 267, 543, 519, 4544, 5858, 814, 513, 8953, 540, 476, 272, 269, 276, 634, 10580, 786, 16937, 952, 519, 3845, 1063, 741, 7740, 568, 1447, 982, 519, 2040, 540, 741, 2234, 4512, 630, 272, 1341, 476, 272, 269, 276, 815, 476, 273, 269, 276, 1040, 1215, 568, 519, 3845, 1063, 741, 7740, 7229, 286, 769, 713, 1383, 267, 741, 7740, 616, 476, 274, 4559, 6306, 267, 1317, 476, 275, 6567, 476, 272, 815, 476, 274, 780, 23220, 696, 519, 1362, 281, 14348, 519, 3845, 1063, 873, 1689, 952, 519, 10580, 2220, 11474, 4025, 286, 4208, 610, 1946, 711, 2496, 13480, 998, 513, 1297, 540, 1806, 267, 1210, 513, 1297, 1899, 593, 519, 4604, 543, 6998, 1053, 875, 789, 5173, 519, 3845, 1063, 519, 2798, 269, 11109, 1053, 957, 713, 856, 666, 849, 960, 1134, 281, 2721, 513, 1297, 1899, 267, 723, 1079, 1053, 1796, 693, 1114, 2798, 593, 519, 1899, 267, 1210, 741, 7916, 610, 2759, 8083, 547, 2285, 3615, 540, 1114, 7306, 269, 8844, 1053, 2059, 519, 1297, 1899, 2394, 789, 5905, 267, 1287, 12337, 519, 3845, 593, 519, 1297, 1899, 780, 7312, 3014, 3758, 2488, 513, 1599, 1572, 1899, 27480, 602, 1939, 525, 519, 3017, 1063, 1079, 2798, 593, 513, 1297, 1899, 269, 13018, 267, 1899, 27480, 3217, 1079, 2338, 607, 3403, 543, 11887, 519, 3845, 1063, 873, 692, 23220, 696, 519, 1053, 1384, 1432, 4267, 1131, 596, 2503, 689, 1142, 540, 519, 1739, 1079, 3096, 540, 1899, 27480, 1384, 1892, 1899, 27480, 263, 273, 267, 476, 276, 994, 1892, 1899, 27480, 263, 276, 267, 476, 273, 2020, 2710, 596, 2503, 519, 1482, 2626, 7488, 540, 2436, 519, 3677, 610, 4130, 3403, 4422, 1101, 2496, 19013, 267, 1899, 27480, 666, 1152, 5173, 519, 3845, 1063, 2798, 538, 513, 2582, 10155, 630, 343, 610, 586, 1040, 1215, 1131, 519, 3845, 581, 7229, 1063, 3615, 3001, 538, 476, 273, 1673, 574, 5014, 630, 3697, 707, 3014, 2609, 21663, 1899, 27480, 666, 5173, 519, 7299, 543, 8880, 3515, 538, 519, 8642, 3254, 1934, 267, 1210, 519, 3845, 1063, 519, 1535, 18396, 24002, 543, 519, 3845, 1063, 519, 586, 18396, 24002, 269, 10251, 267, 621, 3085, 1406, 2995, 721, 875, 2484, 6306, 519, 1079, 7740, 616, 780, 19352, 532, 513, 1899, 689, 519, 4099, 540, 835, 1843, 547, 519, 824, 5932, 513, 1318, 2389, 686, 4120, 267, 609, 5011, 589, 267, 645, 543, 595, 269, 589, 543, 645, 616, 519, 7299, 543, 8880, 9883, 267, 609, 595, 1373, 519, 3845, 1063, 519, 1079, 10974, 269, 1899, 27480, 666, 581, 1031, 547, 5173, 589, 543, 645, 267, 855, 875, 666, 649, 5173, 595, 2496, 1103, 513, 1318, 6906, 267, 519, 2427, 6587, 519, 476, 3445, 24266, 5086, 568, 1572, 519, 30494, 269, 15154, 1394, 547, 938, 16580, 7020, 267, 649, 917, 602, 519, 3615, 786, 2458, 728, 952, 519, 30494, 568, 1447, 982, 519, 2040, 540, 741, 2234, 4512, 269, 18833, 519, 3259, 540, 519, 30494, 786, 581, 1898, 547, 3313, 950, 513, 16580, 4386, 780, 1012, 11314, 692, 2162, 1160, 1324, 19456, 23768, 692, 2252, 707, 1053, 616, 1007, 547, 519, 25355, 14497, 267, 610, 616, 538, 991, 540, 513, 18589, 615, 267, 713, 2534, 568, 606, 4316, 547, 7794, 741, 1620, 538, 513, 3946, 6823, 6752, 780, 16391, 1125, 1053, 883, 1507, 2516, 540, 476, 273, 610, 476, 274, 780, 1892, 10426, 856, 25355, 19577, 2326, 630, 476, 272, 267, 476, 273, 3738, 547, 1142, 1895, 563, 1892, 5620, 1053, 2759, 856, 519, 2185, 12730, 543, 835, 4009, 593, 1101, 6656, 563, 1892, 11512, 602, 267, 585, 1022, 1318, 6906, 267, 621, 568, 2009, 547, 2721, 513, 4605, 1141, 519, 30494, 568, 1031, 585, 782, 2185, 5011, 540, 513, 4009, 563, 1892, 5620, 1053, 2482, 856, 741, 12457, 12730, 5196, 519, 3043, 4009, 267, 607, 1397, 538, 713, 6516, 563, 1892, 8672, 856, 602, 519, 4009, 3294, 814, 2185, 9838, 5011, 540, 3259, 595, 267, 799, 616, 519, 5492, 523, 4926, 585, 519, 12730, 269, 1403, 519, 1858, 540, 513, 4009, 568, 6829, 676, 2427, 3980, 501, 2427, 267, 1287, 519, 1858, 540, 519, 3043, 2230, 568, 595, 273, 563, 1892, 5620, 1053, 2268, 519, 6418, 4009, 4646, 676, 519, 2185, 5492, 523, 4926, 630, 290, 2020, 3528, 3001, 519, 12457, 12730, 267, 621, 568, 2009, 547, 1711, 1079, 25965, 602, 3514, 3330, 519, 3312, 4009, 269, 2755, 519, 2230, 3144, 909, 676, 519, 12730, 814, 17146, 267, 621, 18387, 1406, 20335, 1022, 8273, 610, 4130, 269, 19452, 267, 519, 3043, 2230, 814, 1044, 7745, 883, 1079, 4130, 10945, 267, 855, 538, 2698, 621, 3788, 519, 1482, 2450, 269, 1635, 1210, 519, 2427, 2000, 9975, 589, 543, 645, 267, 835, 666, 5173, 519, 1858, 540, 519, 1079, 10945, 780, 1892, 1411, 949, 991, 547, 12799, 1448, 856, 602, 519, 2427, 2000, 9975, 540, 519, 12730, 666, 581, 1031, 607, 519, 2427, 2000, 9975, 540, 519, 10945, 563, 1892, 5620, 1053, 2268, 519, 1858, 540, 519, 4130, 4009, 630, 288, 994, 1892, 5620, 1053, 2268, 519, 1858, 540, 519, 3677, 4009, 630, 289, 994, 1892, 9105, 1053, 547, 5635, 519, 616, 540, 4009, 589, 1341, 4009, 645, 547, 519, 1858, 540, 4009, 595, 692, 763, 4130, 4009, 814, 606, 1858, 540, 589, 273, 267, 543, 519, 3677, 4009, 814, 606, 1858, 540, 645, 273, 269, 4595, 891, 10945, 616, 1175, 519, 3312, 4009, 7745, 909, 883, 1079, 4773, 267, 649, 917, 602, 519, 2040, 540, 891, 2127, 1590, 581, 3160, 547, 519, 1858, 540, 519, 3312, 4009, 1384, 2162, 7502, 1707, 24544, 692, 1103, 713, 2534, 1053, 786, 1384, 1892, 8073, 1318, 12730, 593, 513, 3113, 563, 1892, 12433, 519, 30494, 676, 1463, 6482, 543, 676, 519, 25355, 14497, 563, 1892, 14419, 952, 10580, 723, 2458, 3660, 676, 6313, 11617, 563, 1892, 14419, 952, 10580, 723, 2458, 3660, 676, 9236, 3845, 543, 2234, 4512, 780, 19547, 9229, 5528, 616, 3177, 593, 519, 23618, 532, 7502, 2888, 910, 8018, 780, 1892, 20946, 454, 1892, 476, 272, 454, 1892, 630, 28781, 29601, 547, 1294, 2875, 2070, 994, 8698, 593, 8943, 22456, 692, 1012, 11621, 1325, 9892, 692, 2971, 5871, 11759, 4569, 11621, 692, 7417, 910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 256, 1315, 23591, 24800, 270, 7090, 274, 454, 5814, 19523, 454, 5228, 17511, 1104, 5903, 692, 3698, 851, 272, 3799, 13246, 281, 5903, 27776, 8079, 9847, 7183, 912, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 3799, 13246, 15892, 1038, 585, 795, 538, 2039, 9217, 266, 272, 267, 7003, 3799, 13246, 15892, 2018, 952, 2338, 5157, 316, 1341, 2338, 14728, 316, 2652, 476, 1708, 271, 912, 3546, 1820, 3799, 13246, 5157, 316, 2608, 2338, 14728, 7481, 3546, 2132, 692, 3698, 851, 273, 3799, 13246, 281, 5903, 27776, 8079, 9847, 7183, 912, 825, 2338, 815, 15044, 3799, 13246, 2020, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 3799, 13246, 15892, 1038, 795, 815, 1775, 1341, 476, 272, 454, 1038, 737, 815, 7003, 3799, 13246, 264, 910, 476, 272, 692, 1038, 1247, 795, 2999, 737, 912, 2018, 1101, 476, 815, 2338, 5157, 2639, 2018, 2034, 815, 2338, 14728, 2639, 2018, 3791, 476, 815, 2338, 25208, 2639, 2018, 952, 630, 14140, 1341, 2034, 1341, 3791, 264, 3436, 476, 1708, 271, 912, 3546, 737, 20699, 476, 272, 454, 2018, 8640, 630, 14140, 1341, 2034, 1341, 3791, 264, 2999, 476, 1708, 271, 912, 3546, 795, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 1820, 6600, 1009, 2608, 2034, 2608, 3791, 994, 3546, 2132, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1250, 6358, 815, 19523, 14714, 19734, 18667, 14061, 20889, 19629, 333, 5602, 825, 1250, 6358, 815, 1592, 9852, 777, 10857, 10033, 1535, 281, 703, 3287, 1070, 1250, 6358, 4917, 825, 851, 272, 30044, 6358, 994, 825, 851, 273, 30044, 6358, 2020, 0, 258, 634, 1883, 25247, 814, 519, 1739, 11768, 1384, 258, 2340, 498, 490, 23708, 21735, 18077, 361, 23708, 21735, 18077, 361, 23708, 21735, 18077, 494, 454, 258, 2340, 498, 480, 476, 272, 2340, 498, 480, 476, 273, 2340, 498, 480, 476, 274, 2340, 498, 480, 454, 258, 2340, 498, 506, 23708, 21735, 18077, 376, 23708, 21735, 18077, 376, 23708, 21735, 18077, 353, 454, 258, 2340, 498, 480, 476, 275, 2340, 498, 480, 476, 276, 2340, 498, 480, 476, 277, 2340, 498, 480, 454, 258, 2340, 498, 506, 23708, 21735, 18077, 376, 23708, 21735, 18077, 376, 23708, 21735, 18077, 353, 454, 258, 2340, 498, 480, 476, 278, 2340, 498, 480, 476, 279, 2340, 498, 480, 476, 280, 2340, 498, 480, 454, 258, 2340, 498, 498, 23708, 21735, 18077, 376, 23708, 21735, 18077, 376, 23708, 21735, 18077, 502, 454, 258, 672, 2340, 498, 480, 476, 271, 2340, 498, 480, 454, 258, 672, 2340, 498, 498, 23708, 21735, 18077, 502, 692, 258, 1261, 7074, 519, 623, 2562, 476, 13670, 278, 267, 855, 646, 849, 1767, 267, 621, 568, 2009, 602, 1142, 540, 519, 9704, 646, 4718, 1223, 2965, 581, 1776, 11105, 7857, 630, 1817, 714, 22667, 610, 19794, 267, 855, 711, 25241, 958, 1040, 661, 3052, 269, 3079, 540, 519, 476, 272, 621, 1223, 849, 581, 519, 476, 273, 610, 476, 275, 269, 1656, 3079, 540, 519, 476, 276, 621, 1223, 849, 581, 519, 476, 273, 267, 476, 275, 267, 476, 277, 610, 476, 279, 780, 258, 2052, 596, 948, 721, 547, 1265, 782, 1346, 7648, 286, 898, 1131, 581, 8799, 547, 723, 513, 1599, 267, 602, 7024, 606, 5044, 540, 782, 7648, 585, 606, 4767, 623, 2562, 609, 513, 3259, 540, 476, 272, 547, 476, 279, 9704, 780, 5814, 621, 1068, 8962, 692, 18474, 5209, 815, 13634, 825, 1412, 271, 9166, 18358, 271, 3299, 1412, 279, 11172, 2676, 825, 1412, 272, 9166, 18358, 272, 3299, 1412, 273, 3299, 1412, 275, 11172, 2676, 825, 1412, 273, 9166, 18358, 272, 3299, 1412, 273, 3299, 1412, 274, 3299, 1412, 276, 11172, 2676, 825, 1412, 274, 9166, 18358, 273, 3299, 1412, 274, 3299, 1412, 277, 11172, 2676, 825, 1412, 275, 9166, 18358, 272, 3299, 1412, 275, 3299, 1412, 276, 3299, 1412, 278, 11172, 2676, 825, 1412, 276, 9166, 18358, 273, 3299, 1412, 275, 3299, 1412, 276, 3299, 1412, 277, 3299, 1412, 279, 11172, 2676, 825, 1412, 277, 9166, 18358, 274, 3299, 1412, 276, 3299, 1412, 277, 3299, 1412, 280, 11172, 2676, 825, 1412, 278, 9166, 18358, 275, 3299, 1412, 278, 3299, 1412, 279, 11172, 2676, 825, 1412, 279, 9166, 18358, 271, 3299, 1412, 276, 3299, 1412, 278, 3299, 1412, 279, 3299, 1412, 280, 11172, 2676, 825, 1412, 280, 9166, 18358, 277, 3299, 1412, 279, 3299, 1412, 280, 23300, 348, 7531, 3698, 1205, 7272, 1231, 263, 10849, 5703, 2187, 825, 7399, 815, 1496, 18474, 5209, 314, 15893, 316, 585, 1297, 538, 4767, 2639, 825, 9479, 318, 3438, 1807, 815, 621, 1068, 8962, 4877, 6055, 28949, 335, 1601, 4850, 264, 1948, 562, 655, 512, 644, 329, 4157, 1714, 648, 554, 513, 7399, 554, 1415, 1605, 14153, 30458, 267, 693, 29951, 4157, 2247, 523, 1605, 5471, 454, 825, 9479, 815, 1496, 5257, 269, 21860, 6262, 1712, 264, 585, 3009, 538, 9479, 318, 3438, 1807, 6540, 825, 2132, 9479, 454, 0, 327, 3464, 815, 3403, 2891, 11767, 25980, 281, 834, 3418, 335, 599, 815, 3403, 2891, 28324, 15580, 281, 834, 3418, 325, 327, 815, 10581, 22607, 3464, 3418, 325, 335, 815, 10581, 9638, 599, 3418, 604, 535, 327, 3436, 476, 2412, 2433, 1477, 825, 1820, 2891, 302, 3200, 830, 14744, 825, 1036, 815, 535, 327, 2608, 535, 335, 1477, 825, 17333, 335, 815, 630, 325, 327, 910, 476, 2412, 264, 2608, 630, 325, 335, 2608, 476, 271, 269, 276, 3418, 825, 1820, 263, 2958, 267, 582, 335, 3418, 825, 14407, 815, 1036, 1341, 17333, 335, 1477, 12828, 6769, 825, 1820, 2891, 19894, 14744, 825, 14407, 815, 535, 327, 2608, 535, 335, 1477, 2745, 2891, 294, 1484, 9796, 24333, 14407, 3418, 0, 454, 3698, 1250, 26174, 6958, 4233, 263, 3333, 21468, 2187, 825, 1003, 26174, 284, 11133, 314, 271, 2639, 825, 585, 1775, 538, 1003, 912, 1038, 952, 9217, 285, 11133, 26174, 2187, 2018, 1003, 26174, 284, 328, 454, 825, 2132, 1003, 26174, 454, 11133, 17342, 274, 267, 275, 267, 276, 267, 3953, 267, 6321, 267, 1321, 267, 7918, 267, 4792, 267, 12553, 2639, 2745, 30044, 26174, 6958, 4233, 16325, 4917, 0, 3698, 3432, 318, 13765, 4433, 32497, 2187, 825, 1085, 549, 516, 284, 14588, 539, 268, 3583, 454, 825, 1448, 284, 2675, 549, 516, 2260, 276, 454, 825, 952, 263, 4812, 285, 1321, 2187, 1038, 2132, 630, 4812, 2437, 997, 775, 17735, 5602, 825, 8640, 630, 14588, 539, 27045, 3583, 2187, 1038, 2132, 2891, 758, 5602, 825, 8640, 4433, 32497, 285, 3583, 2187, 1038, 2132, 263, 4812, 2437, 10472, 568, 476, 3583, 3444, 5602, 14588, 539, 25507, 9272, 2891, 10938, 519, 1297, 6889, 4917, 2745, 4433, 32497, 318, 13765, 4433, 32497, 4917, 0, 5035, 8827, 912, 825, 1219, 1295, 13729, 23917, 4311, 267, 2855, 281, 5903, 27776, 8079, 9847, 703, 912, 13872, 1038, 1948, 2080, 781, 1018, 781, 8345, 454, 1038, 1948, 272, 269, 22056, 513, 9598, 609, 519, 12451, 454, 1038, 1948, 273, 269, 22056, 513, 1592, 856, 540, 519, 2418, 540, 519, 9598, 543, 4990, 621, 454, 1038, 1948, 274, 6745, 820, 519, 2063, 3693, 6357, 580, 7465, 264, 543, 1039, 621, 547, 3193, 11764, 543, 4894, 621, 689, 519, 1592, 454, 1038, 1948, 275, 269, 31467, 1900, 476, 274, 269, 2394, 3193, 11764, 568, 13843, 3368, 519, 3259, 540, 519, 2016, 5044, 454, 1038, 1948, 276, 269, 604, 5354, 540, 519, 4908, 568, 476, 272, 267, 10208, 3193, 11764, 689, 3368, 21920, 543, 1039, 621, 547, 519, 4540, 1293, 454, 1038, 1948, 277, 269, 8873, 1293, 799, 6854, 519, 1293, 540, 519, 1297, 540, 2609, 1031, 28329, 1363, 692, 1038, 3693, 15575, 815, 15079, 1948, 3698, 710, 8900, 9598, 28329, 13872, 1038, 585, 3693, 538, 2855, 281, 476, 1948, 5417, 519, 2505, 523, 344, 540, 519, 2338, 883, 519, 9598, 454, 2018, 952, 3693, 538, 3693, 15575, 912, 3546, 3693, 15575, 314, 324, 2211, 316, 6834, 476, 272, 476, 1948, 27463, 848, 4908, 1293, 952, 3693, 568, 972, 538, 519, 9598, 454, 2018, 3116, 912, 3546, 3693, 15575, 314, 324, 2211, 316, 815, 476, 272, 476, 1948, 12828, 1039, 519, 3693, 547, 519, 9598, 454, 4449, 454, 4449, 454, 1038, 3193, 11764, 267, 3368, 21920, 267, 1293, 815, 476, 271, 267, 703, 12759, 19906, 8358, 273, 1070, 476, 271, 1948, 10946, 11764, 568, 9277, 547, 581, 3160, 547, 3368, 21920, 538, 519, 1439, 454, 1038, 782, 11749, 1132, 815, 1592, 16216, 2211, 15575, 269, 11161, 28829, 1948, 22056, 513, 1592, 856, 540, 2418, 538, 519, 9598, 454, 1038, 782, 11749, 1132, 31699, 3890, 1948, 338, 677, 519, 1592, 28329, 1038, 1247, 6936, 912, 2018, 952, 32384, 11764, 13843, 3368, 21920, 2567, 2736, 825, 1948, 10852, 2783, 547, 2736, 856, 540, 519, 8520, 454, 27030, 2018, 1948, 13826, 1141, 972, 616, 513, 5354, 540, 476, 272, 338, 269, 1403, 476, 272, 568, 11402, 782, 519, 824, 2609, 786, 581, 476, 272, 2094, 1592, 568, 15044, 269, 901, 568, 547, 8597, 547, 519, 6316, 2013, 1141, 4908, 540, 5354, 270, 718, 540, 519, 2609, 568, 476, 272, 563, 2018, 952, 263, 718, 11749, 1132, 15631, 272, 316, 2652, 476, 272, 2567, 825, 454, 3546, 1293, 815, 1293, 1341, 630, 327, 2788, 21920, 910, 3193, 11764, 994, 3546, 2736, 454, 4449, 454, 2018, 3193, 11764, 6834, 782, 11749, 1132, 15631, 272, 316, 3097, 2018, 1293, 6834, 272, 454, 2018, 782, 11749, 1132, 31927, 263, 718, 11749, 1132, 15631, 272, 8079, 1948, 8145, 8221, 519, 7887, 1871, 689, 519, 15044, 1592, 692, 1038, 2132, 1293, 692, 1038, 1948, 5503, 6988, 568, 744, 3799, 331, 1758, 994, 1038, 1948, 11898, 6988, 568, 744, 3799, 264, 0, 5228, 4351, 1104, 3903, 692, 320, 284, 1193, 9272, 3488, 14707, 924, 522, 562, 727, 798, 620, 684, 334, 476, 272, 281, 1412, 4917, 321, 284, 1193, 9272, 3488, 14707, 924, 522, 562, 727, 798, 620, 684, 334, 476, 273, 281, 1412, 4917, 322, 284, 1193, 9272, 3488, 14707, 924, 522, 562, 727, 798, 620, 684, 334, 476, 274, 281, 1412, 4917, 323, 284, 1193, 9272, 3488, 14707, 924, 522, 562, 727, 798, 620, 684, 334, 476, 275, 281, 1412, 11723, 4289, 320, 815, 1496, 320, 14720, 22698, 28504, 2639, 525, 3712, 327, 18480, 815, 3903, 17338, 320, 2020, 2745, 3488, 302, 620, 684, 334, 1965, 3712, 327, 18480, 21669, 9087, 328, 15079, 8339, 8971, 263, 525, 3712, 327, 18480, 4297, 0, 333, 815, 703, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 703, 324, 10098, 281, 1412, 11723, 2745, 3488, 744, 798, 15842, 632, 15079, 20527, 15079, 8339, 8971, 3799, 267, 562, 265, 273, 4917, 2745, 3488, 744, 2468, 680, 334, 632, 15079, 20527, 15079, 8339, 8971, 3799, 267, 562, 265, 274, 4917, 2745, 3488, 589, 14780, 714, 22712, 2784, 320, 632, 15079, 20527, 15079, 8339, 8971, 3799, 267, 562, 265, 333, 4297, 0, 5814, 19474, 12221, 692, 3698, 568, 5091, 3233, 6262, 2187, 825, 952, 524, 538, 18358, 321, 12887, 322, 12887, 323, 12887, 324, 12887, 325, 11172, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 692, 3698, 1847, 263, 1842, 267, 546, 597, 2187, 825, 952, 546, 597, 2652, 1412, 308, 12466, 1038, 2132, 1064, 314, 271, 3910, 1064, 314, 272, 316, 268, 272, 454, 825, 8640, 546, 597, 2652, 1412, 291, 12466, 1038, 2132, 1064, 314, 271, 3910, 1064, 314, 272, 27994, 272, 454, 825, 8640, 546, 597, 2652, 1412, 299, 12466, 1038, 2132, 1064, 314, 271, 316, 268, 272, 267, 1064, 314, 272, 2639, 825, 3116, 912, 1038, 2132, 1064, 314, 271, 27994, 272, 267, 1064, 314, 272, 6540, 3698, 666, 8548, 913, 263, 1842, 267, 546, 597, 2187, 825, 2132, 630, 323, 597, 2652, 1412, 308, 262, 543, 1064, 314, 272, 316, 3436, 476, 271, 264, 610, 630, 323, 597, 2652, 1412, 291, 262, 543, 1064, 314, 272, 316, 2999, 476, 274, 264, 610, 630, 323, 597, 2652, 1412, 299, 262, 543, 1064, 314, 271, 316, 3436, 476, 271, 264, 610, 630, 323, 597, 2652, 1412, 305, 262, 543, 1064, 314, 271, 316, 2999, 476, 274, 2020, 3698, 1305, 318, 13073, 6262, 1712, 267, 3802, 2187, 825, 521, 815, 3009, 1341, 1412, 8339, 21860, 263, 19769, 994, 825, 544, 815, 19474, 12221, 269, 2908, 3488, 30113, 276, 5073, 825, 1883, 815, 535, 257, 346, 338, 348, 4840, 825, 544, 269, 26303, 19304, 269, 523, 13892, 31107, 4917, 825, 544, 323, 276, 327, 1662, 815, 544, 269, 28411, 21745, 652, 10797, 825, 9885, 815, 13634, 1038, 1412, 308, 9166, 568, 5091, 3233, 9852, 323, 276, 327, 1662, 314, 271, 316, 13211 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1809, 28321, 7678, 3515, 3217, 942, 267, 543, 972, 666, 581, 1082, 540, 873, 593, 519, 12125, 2507, 1684, 596, 1616, 547, 1451, 875, 547, 3533, 543, 3362, 25117, 713, 1184, 286, 3973, 1224, 593, 269, 1703, 568, 513, 3070, 2443, 5100, 543, 6325, 7678, 1899, 13525, 267, 519, 4201, 11703, 7066, 526, 1467, 1547, 2353, 596, 991, 547, 798, 568, 8936, 519, 13525, 547, 519, 5750, 267, 543, 621, 786, 2721, 782, 2009, 7678, 3515, 585, 596, 269, 1411, 1175, 723, 547, 23507, 519, 556, 454, 2767, 20430, 454, 2839, 700, 924, 25767, 27014, 454, 291, 2088, 623, 2851, 454, 275, 630, 273, 994, 1607, 3730, 10626, 568, 513, 1769, 4528, 540, 519, 1982, 2919, 585, 1818, 1843, 12215, 593, 513, 5750, 269, 9603, 547, 7317, 543, 3593, 7888, 1852, 8470, 267, 621, 568, 2653, 547, 946, 267, 585, 1383, 267, 585, 1818, 12215, 540, 3515, 693, 519, 9138, 3845, 538, 519, 1292, 6885, 610, 538, 922, 1016, 2914, 785, 3298, 538, 513, 4028, 6073, 269, 898, 1568, 609, 519, 1739, 2010, 540, 3615, 281, 28267, 297, 318, 30045, 12114, 910, 8880, 3515, 282, 28267, 297, 318, 15045, 21715, 910, 7678, 3515, 282, 28267, 297, 318, 15045, 21715, 289, 312, 20315, 4041, 910, 7678, 3515, 676, 5086, 282, 28267, 297, 318, 2752, 4629, 310, 910, 1585, 2010, 540, 24069, 630, 23748, 10297, 267, 909, 543, 9419, 454, 293, 12767, 454, 306, 699, 526, 760, 640, 454, 306, 9116, 1177, 583, 774, 784, 16988, 454, 306, 699, 526, 760, 640, 1109, 476, 28812, 606, 1109, 16869, 20180, 528, 512, 520, 2966, 585, 9470, 4771, 593, 631, 1428, 269, 4518, 15873, 568, 661, 7838, 4785, 291, 631, 1428, 855, 596, 666, 1449, 621, 4444, 3054, 593, 1109, 5231, 824, 5231, 9304, 8424, 9936, 5231, 18903, 10831, 476, 1109, 268, 661, 288, 8446, 3009, 547, 2057, 13779, 609, 824, 661, 2026, 269, 11485, 5231, 910, 4201, 11703, 2603, 9819, 269, 24619, 910, 5021, 3262, 585, 4123, 269, 21909, 542, 594, 1185, 1449, 621, 609, 11485, 1472, 476, 1015, 260, 12527, 736, 260, 543, 5021, 1109, 4944, 1348, 1871, 593, 1449, 568, 476, 276, 267, 634, 2698, 3357, 856, 1360, 1134, 269, 1809, 952, 596, 666, 22036, 2362, 31062, 1109, 9526, 6658, 1287, 596, 666, 946, 554, 454, 1789, 20430, 454, 22849, 17020, 289, 681, 454, 309, 553, 8270, 344, 1323, 758, 327, 514, 454, 296, 1459, 596, 606, 13525, 602, 10905, 1079, 3044, 10832, 281, 1775, 289, 1638, 338, 543, 1775, 289, 8986, 269, 901, 14251, 1807, 11887, 543, 10525, 1079, 8795, 5322, 269, 634, 2039, 540, 2418, 568, 476, 271, 267, 476, 272, 610, 910, 272, 269, 634, 1699, 3350, 568, 8612, 676, 513, 2318, 1871, 269, 18452, 30352, 281, 667, 6938, 310, 338, 910, 519, 1297, 540, 13063, 547, 4159, 519, 13525, 29851, 318, 20540, 910, 519, 2489, 1974, 540, 519, 3044, 10832, 29851, 318, 25820, 910, 3902, 1826, 540, 519, 3044, 10832, 3767, 267, 18409, 338, 543, 645, 8986, 616, 538, 593, 17927, 267, 1434, 24664, 2336, 293, 12767, 454, 31807, 3331, 376, 337, 6686, 333, 6686, 333, 620, 13799, 322, 13799, 24882, 13799, 513, 10455, 13799, 8619, 15662, 509, 684, 24882, 13799, 2893, 13799, 333, 620, 8494, 597, 454, 289, 1716, 14551, 5576, 933, 580, 1068, 454, 275, 269, 11152, 630, 4198, 994, 290, 7838, 305, 7728, 14877, 476, 3451, 260, 5508, 293, 8206, 256, 7454, 8827, 585, 1022, 1715, 29560, 610, 16869, 3004, 1457, 256, 901, 13525, 568, 513, 2189, 267, 1164, 2298, 543, 10097, 9467, 1907, 1317, 649, 723, 11368, 513, 1297, 540, 28106, 2934, 543, 513, 1007, 4542, 269, 2060, 713, 9337, 267, 596, 786, 581, 2111, 547, 1397, 5595, 942, 18134, 10851, 269, 1411, 786, 711, 1152, 581, 2111, 547, 1397, 513, 2362, 570, 293, 855, 547, 1397, 1312, 267, 519, 5750, 570, 293, 267, 12813, 4785, 519, 2362, 570, 293, 281, 15562, 8582, 5058, 715, 12239, 3633, 2098, 2177, 2464, 269, 2353, 18242, 24637, 18318, 786, 2648, 621, 269, 2433, 264, 12830, 6176, 32672, 4705, 7665, 4476, 519, 1494, 11230, 454, 16825, 20430, 454, 289, 1716, 14551, 5576, 933, 580, 1068, 454, 275, 269, 11011, 630, 276, 1691, 994, 290, 7838, 305, 7728, 14877, 476, 2918, 260, 5508, 293, 7454, 8827, 585, 1022, 1715, 29560, 610, 16869, 3004, 1457, 256, 901, 25824, 1807, 568, 513, 2189, 267, 1164, 2298, 543, 10097, 9467, 1907, 1317, 649, 723, 11368, 513, 1297, 540, 28106, 2934, 543, 513, 1007, 4542, 269, 2060, 1152, 21450, 5750, 596, 666, 1224, 4354, 6275, 23848, 585, 476, 2764, 5983, 343, 8424, 256, 5994, 875, 707, 9467, 786, 2087, 1317, 596, 616, 2111, 547, 22942, 519, 3169, 9594, 1448, 540, 513, 1007, 7678, 610, 9470, 4771, 4316, 286, 14871, 8261, 281, 4945, 1934, 2334, 781, 519, 1101, 835, 267, 519, 3312, 256, 5213, 1405, 4444, 513, 4502, 548, 454, 16825, 20430, 454, 290, 7838, 305, 7728, 14877, 476, 736, 260, 5508, 293, 8206, 7454, 8827, 585, 1022, 1715, 29560, 610, 16869, 3004, 1457, 256, 901, 21686, 4580, 3301, 568, 2324, 593, 476, 2764, 9304, 8424, 269, 898, 568, 1759, 593, 476, 273, 540, 938, 1292, 10832, 630, 28723, 4354, 6275, 23848, 476, 2764, 543, 11628, 4354, 6275, 6764, 592, 572, 1040, 898, 3947, 513, 1390, 7650, 540, 519, 3003, 5983, 343, 2344, 269, 898, 2982, 11628, 4354, 6275, 23848, 2418, 267, 9304, 3432, 540, 3350, 543, 6786, 585, 476, 2764, 5983, 343, 8424, 538, 782, 630, 280, 264, 942, 325, 29707, 269, 5994, 875, 707, 9467, 786, 2087, 950, 596, 666, 4585, 519, 3003, 2344, 1210, 513, 2582, 967, 328, 454, 1960, 20430, 454, 1103, 516, 343, 25824, 1807, 454, 2562, 3918, 311, 12788, 700, 8379, 3951, 3633, 454, 275, 630, 275, 994, 1911, 260, 3143, 1065, 5593, 25824, 1807, 547, 948, 15015, 570, 2784, 619, 543, 661, 288, 570, 2784, 619, 1109, 769, 516, 343, 25824, 1807, 910, 29665, 7010, 910, 476, 279, 5147, 476, 1708, 272, 910, 570, 2784, 619, 262, 2349, 9233, 630, 332, 27942, 276, 2593, 264, 769, 516, 343, 25824, 1807, 568, 938, 1101, 25824, 1807, 799, 7229, 676, 1082, 2189, 1239, 2073, 607, 769, 516, 343, 661, 288, 798, 711, 3494, 782, 519, 1455, 10832, 899, 681, 10485, 26914, 291, 1547, 8409, 616, 4562, 656, 13525, 949, 2014, 513, 31605, 547, 18318, 1547, 1109, 769, 516, 343, 25824, 2209, 2337, 782, 15015, 570, 2784, 619, 543, 661, 288, 570, 2784, 619, 827, 3232, 16186, 543, 799, 8424, 547, 4123, 609, 782, 519, 661, 320, 538, 519, 2872, 1547, 1280, 454, 1960, 20430, 454, 288, 269, 1548, 568, 589, 273, 17876, 7790, 4534, 9509, 5583, 2433, 4534, 693, 5231, 4179, 2517, 4178, 6230, 27942, 276, 2593, 19841, 270, 4565, 9233, 9706, 739, 270, 278, 4097, 278, 4366, 270, 2457, 275, 258, 1260, 618, 318, 13679, 23283, 1626, 4534, 543, 1109, 4179, 2517, 4178, 6230, 27942, 276, 2593, 19841, 270, 22852, 30819, 2129, 3570, 270, 24108, 589, 273, 17876, 814, 513, 2027, 4480, 538, 8159, 519, 2157, 540, 8081, 630, 3747, 3738, 543, 18650, 630, 3761, 3738, 1547, 9521, 519, 8723, 1259, 602, 649, 2938, 593, 519, 2121, 267, 589, 273, 17876, 814, 513, 3312, 1523, 538, 8159, 4890, 22804, 2157, 269, 634, 3312, 4480, 729, 711, 3144, 689, 519, 4950, 267, 543, 621, 814, 2760, 1044, 3370, 593, 519, 4950, 2901, 269, 589, 273, 17876, 786, 454, 28510, 20430, 454, 307, 5183, 6936, 12313, 11059, 13525, 8761, 519, 3020, 3902, 2962, 540, 519, 2344, 15670, 998, 476, 1911, 260, 1875, 3146, 335, 31021, 6786, 630, 21955, 2038, 6786, 7154, 264, 14553, 693, 519, 2673, 540, 513, 23156, 256, 570, 5183, 2982, 13366, 543, 556, 268, 550, 1845, 267, 1169, 942, 519, 13032, 338, 616, 9090, 6793, 982, 519, 12217, 543, 13030, 17930, 269, 3502, 547, 25657, 609, 2699, 270, 13582, 22250, 269, 634, 6521, 540, 1379, 4991, 9672, 693, 519, 9998, 3942, 543, 568, 21450, 14827, 4640, 540, 1896, 269, 1703, 616, 2139, 1631, 1079, 1863, 2694, 540, 519, 570, 5183, 14871, 6651, 585, 938, 8169, 334, 454, 12739, 20430, 454, 32292, 698, 3999, 529, 18924, 656, 641, 9567, 657, 454, 276, 630, 1015, 994, 1262, 21832, 12813, 7473, 4785, 590, 5456, 2793, 11862, 543, 20231, 5442, 21450, 2878, 1773, 583, 639, 7043, 543, 10374, 9467, 6786, 3773, 630, 1721, 811, 1102, 528, 3643, 1109, 5291, 2517, 4178, 6745, 2784, 9220, 14179, 636, 1168, 2314, 2593, 5231, 7756, 23027, 9537, 666, 581, 521, 5878, 539, 269, 7994, 1018, 707, 19469, 2876, 6945, 9733, 904, 281, 11730, 267, 623, 2354, 267, 28626, 11730, 15580, 267, 5384, 610, 22716, 1242, 11730, 31515, 2878, 17692, 9358, 623, 7838, 6224, 17955, 11298, 10691, 11123, 294, 4953, 9215, 28132, 16898, 19294, 645, 4488, 288, 27516, 8946, 16730, 4959, 27749, 269, 5131, 267, 1079, 5662, 267, 835, 547, 835, 1357, 14373, 8720, 14764, 2073, 12191, 543, 1627, 26031, 593, 1022, 10715, 6718, 269, 1215, 547, 4123, 609, 621, 281, 1109, 2980, 454, 275, 4200, 20430, 454, 1607, 568, 513, 667, 1662, 4580, 25824, 1807, 1759, 593, 23745, 781, 12313, 21023, 528, 25824, 1807, 1547, 901, 667, 1662, 4580, 786, 12315, 596, 513, 3308, 547, 1294, 519, 7678, 4287, 1510, 2348, 547, 16212, 998, 942, 325, 29707, 267, 865, 596, 666, 2141, 581, 9467, 538, 4287, 540, 519, 7678, 267, 609, 2370, 4674, 269, 1109, 594, 24805, 5231, 8940, 5861, 334, 710, 16282, 29662, 12027, 2593, 476, 1109, 553, 513, 1390, 30549, 543, 519, 835, 594, 13948, 946, 2608, 15239, 7304, 788, 31021, 667, 1662, 4580, 1488, 4900, 2608, 2690, 30325, 9008, 24211, 275, 8307, 2608, 15124, 1280, 2480, 531, 4771, 2608, 15124, 1280, 4210, 532, 29665, 2608, 291, 1662, 4580, 1488, 992, 28678, 1325, 1068, 338, 2608, 291, 1662, 4580, 1488, 992, 6178, 1023, 454, 273, 476, 1911, 20430, 454, 293, 343, 289, 8986, 25024, 454, 305, 778, 573, 700, 2378, 327, 559, 454, 5591, 811, 9271, 609, 713, 13525, 267, 1449, 621, 585, 1296, 3516, 543, 1294, 952, 972, 568, 9271, 538, 835, 1554, 6364, 269, 5231, 674, 343, 289, 8986, 25024, 568, 2324, 593, 782, 2062, 343, 8424, 267, 8407, 267, 21113, 267, 20304, 267, 17523, 267, 19367, 267, 21888, 267, 543, 3388, 1862, 663, 593, 782, 942, 325, 29707, 689, 631, 272, 547, 30400, 269, 5231, 898, 781, 1759, 593, 3761, 543, 3747, 10851, 543, 930, 4835, 10832, 267, 621, 3947, 596, 513, 1360, 2178, 7127, 1448, 609, 476, 271, 1793, 6235, 1034, 540, 519, 942, 267, 596, 666, 13182, 602, 538, 519, 1449, 269, 898, 6494, 596, 6786, 593, 707, 6049, 3760, 10876, 596, 818, 454, 4335, 20430, 454, 290, 19564, 10965, 23803, 454, 14976, 332, 4275, 6490, 880, 454, 276, 630, 273, 994, 290, 19564, 10965, 23803, 1109, 2991, 8938, 1296, 540, 1995, 538, 519, 6990, 543, 1614, 1296, 540, 2182, 960, 1107, 8193, 267, 1394, 11687, 532, 910, 267, 18888, 10965, 23803, 568, 4712, 256, 18888, 10832, 616, 14251, 908, 10832, 602, 666, 581, 1031, 547, 5659, 2344, 9979, 269, 4340, 547, 4783, 3069, 267, 6990, 723, 513, 12402, 547, 1847, 538, 7814, 673, 3270, 689, 5712, 540, 4439, 1501, 1145, 547, 5712, 540, 7703, 880, 1145, 543, 1394, 547, 5712, 540, 4439, 1501, 1145, 269, 1452, 9979, 616, 7368, 609, 513, 2834, 640, 602, 2636, 873, 547, 581, 1031, 547, 18783, 3902, 2242, 454, 14596, 20430, 454, 763, 11202, 547, 513, 28985, 454, 312, 541, 27382, 24430, 1678, 514, 454, 1607, 1907, 666, 948, 596, 3035, 519, 1267, 596, 1616, 538, 9467, 269, 15484, 476, 273, 538, 835, 269, 1109, 661, 2998, 666, 543, 1058, 581, 1031, 547, 4123, 23030, 18169, 269, 1109, 1411, 666, 849, 946, 621, 547, 4123, 593, 519, 5983, 343, 29714, 269, 5231, 634, 13525, 2982, 1360, 1434, 2773, 269, 1109, 5637, 538, 23030, 18169, 543, 538, 519, 5983, 343, 2344, 634, 1907, 786, 581, 2417, 4824, 269, 6178, 1023, 281, 31947, 16176, 4148, 820, 1524, 5365, 6519, 6777, 4148, 820, 5365, 909, 32505, 5384, 18134, 281, 1022, 942, 18134, 666, 581, 1031, 1109, 21952, 942, 281, 1280, 9352, 3681, 689, 835, 547, 1079, 22250, 593, 519, 454, 25616, 20430, 454, 7072, 28246, 28850, 636, 25824, 1807, 568, 1109, 1492, 1101, 1109, 785, 545, 1807, 547, 2268, 519, 7050, 11610, 2047, 689, 6151, 3902, 3126, 269, 9747, 267, 713, 568, 606, 6905, 3902, 2962, 543, 4806, 9467, 269, 1109, 2750, 947, 633, 28850, 636, 25824, 1807, 729, 8385, 2919, 676, 8479, 14208, 1530, 334, 269, 901, 13525, 9727, 519, 1523 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24980, 1851, 519, 1239, 3788, 519, 1482, 267, 865, 519, 1007, 521, 6155, 269, 568, 1869, 21566, 815, 20734, 1691, 780, 6262, 2020, 2690, 1142, 3611, 636, 9062, 547, 519, 1482, 1297, 267, 519, 24980, 1851, 519, 1239, 568, 849, 26987, 676, 519, 1482, 1297, 267, 865, 519, 1007, 521, 6155, 269, 568, 476, 274, 17385, 815, 476, 274, 18414, 1691, 269, 0, 258, 14330, 2969, 8212, 476, 272, 692, 19105, 6991, 966, 822, 326, 815, 630, 309, 272, 1341, 966, 273, 264, 1315, 476, 273, 10318, 1456, 4463, 6603, 5384, 547, 3914, 8445, 2608, 3328, 6991, 10318, 1456, 8880, 3845, 11192, 942, 538, 2011, 2608, 2473, 5057, 540, 966, 30976, 4880, 3196, 815, 476, 271, 1797, 1862, 3143, 10231, 269, 2052, 2705, 723, 6991, 855, 513, 815, 476, 271, 1403, 4320, 2242, 267, 568, 960, 1373, 2944, 286, 8786, 570, 3290, 568, 1862, 21070, 10305, 13201, 1312, 9588, 543, 4287, 269, 2480, 531, 541, 10305, 13201, 1152, 9588, 13053, 781, 1101, 1876, 634, 6991, 540, 513, 1560, 3788, 3586, 8259, 519, 1560, 568, 19500, 2390, 676, 606, 5007, 3196, 269, 13053, 781, 2034, 1876, 674, 284, 2742, 13053, 781, 3791, 1876, 1280, 1169, 2962, 972, 568, 606, 3160, 543, 6587, 5114, 269, 769, 1068, 807, 4214, 634, 2702, 540, 606, 1843, 547, 5706, 513, 1689, 547, 922, 6991, 269, 4741, 540, 7136, 4542, 595, 21346, 815, 630, 337, 272, 332, 272, 1341, 678, 273, 332, 273, 1341, 678, 274, 332, 274, 1862, 8358, 332, 20135, 678, 910, 519, 12761, 6152, 1063, 513, 4704, 1448, 543, 1142, 6152, 269, 4741, 540, 8904, 2311, 519, 4099, 540, 2527, 269, 4741, 540, 26255, 3599, 634, 12166, 4099, 267, 28000, 540, 519, 4099, 540, 2527, 269, 834, 17746, 656, 20653, 6290, 257, 610, 834, 19693, 17726, 257, 1797, 3143, 10231, 5591, 715, 4953, 3196, 5472, 4229, 2040, 547, 4642, 5591, 1689, 538, 4287, 763, 1843, 568, 538, 11466, 20028, 610, 4463, 14612, 4542, 20028, 815, 2557, 2608, 942, 16186, 630, 1817, 714, 7267, 3845, 14612, 264, 4542, 16186, 815, 966, 343, 2608, 942, 1879, 6849, 1788, 3796, 1589, 281, 21222, 7267, 6991, 2760, 2242, 630, 793, 1681, 2842, 4187, 264, 295, 528, 714, 7267, 10231, 2141, 815, 476, 271, 309, 1068, 673, 10231, 2141, 815, 476, 1015, 544, 4882, 273, 309, 1068, 673, 2623, 568, 2141, 27101, 630, 1575, 1189, 815, 18746, 264, 11742, 538, 519, 2011, 5673, 593, 519, 7299, 5057, 540, 6991, 1152, 10611, 1052, 5673, 593, 1312, 519, 7299, 543, 8880, 3334, 269, 5384, 568, 2141, 519, 1482, 585, 1312, 519, 1535, 543, 586, 3334, 540, 519, 5163, 269, 16754, 585, 12761, 538, 1788, 850, 5163, 2473, 815, 476, 272, 270, 273, 520, 273, 16754, 585, 3803, 6991, 950, 1152, 4463, 568, 2016, 966, 815, 20734, 263, 273, 724, 264, 16754, 585, 834, 1037, 7552, 257, 610, 2698, 942, 538, 2011, 512, 1515, 815, 476, 273, 309, 17320, 966, 1590, 581, 519, 7299, 5057, 540, 3355, 6991, 634, 1198, 540, 2627, 1858, 593, 2011, 4187, 20523, 2627, 1858, 815, 811, 2011, 4187, 634, 1198, 540, 3337, 593, 2011, 4187, 10815, 7098, 17871, 815, 811, 2011, 4187, 634, 1198, 540, 26048, 593, 2011, 4187, 681, 965, 2627, 815, 811, 2011, 4187, 634, 1198, 540, 6991, 593, 2011, 4187, 20523, 6991, 815, 811, 2011, 4187, 8191, 300, 13403, 277, 14654, 9517, 16328, 5379, 277, 9315, 5590, 10157, 2969, 8212, 476, 272, 13517, 30125, 476, 272, 21213, 1001, 273, 268, 5400, 268, 6349, 307, 866, 281, 4097, 281, 3607, 313, 8058, 12226, 0, 275, 269, 27692, 22755, 547, 11968, 13353, 547, 3643, 1200, 7911, 23136, 269, 2701, 22755, 476, 14596, 5195, 269, 2201, 519, 1259, 1394, 267, 1352, 729, 2348, 1286, 13542, 543, 1352, 1185, 547, 5397, 476, 1015, 11465, 10774, 337, 14887, 269, 1403, 621, 3576, 1200, 606, 5662, 543, 513, 3368, 3476, 547, 1205, 1394, 267, 875, 3728, 729, 1352, 6117, 593, 519, 7552, 1524, 267, 543, 593, 519, 7552, 1394, 2496, 7712, 713, 568, 513, 2262, 1966, 267, 649, 1101, 5581, 938, 7164, 269, 769, 713, 1966, 789, 616, 3168, 585, 1079, 26968, 985, 281, 875, 3728, 1352, 729, 6117, 593, 519, 1259, 1524, 543, 875, 3728, 593, 519, 1259, 1394, 269, 4595, 649, 917, 602, 1352, 729, 6117, 476, 1015, 11465, 10774, 337, 14887, 593, 519, 1259, 1394, 267, 952, 649, 917, 875, 3728, 1352, 729, 6117, 593, 519, 1259, 1524, 267, 649, 786, 581, 2111, 547, 4137, 856, 875, 3728, 1352, 729, 6117, 593, 519, 1259, 1394, 607, 1134, 269, 1924, 649, 692, 2280, 5231, 1535, 815, 875, 3728, 1352, 22755, 1524, 692, 663, 692, 343, 910, 476, 1015, 815, 875, 3728, 1352, 22755, 1394, 692, 7312, 4589, 2303, 602, 649, 1305, 909, 513, 5231, 546, 815, 678, 339, 5231, 3349, 780, 5629, 649, 723, 1079, 9587, 538, 891, 7515, 4904, 856, 267, 649, 666, 6445, 538, 519, 3791, 269, 1284, 946, 519, 3830, 5231, 512, 815, 546, 29265, 780, 2171, 666, 1631, 2769, 519, 1249, 602, 621, 3576, 606, 5662, 543, 513, 3368, 3476, 547, 1205, 1394, 607, 692, 7712, 713, 568, 513, 7787, 3830, 267, 649, 991, 547, 1101, 2312, 32159, 269, 634, 10545, 1455, 14009, 568, 5231, 476, 273, 343, 3287, 910, 476, 1015, 1040, 5231, 25092, 1312, 5011, 780, 7712, 972, 616, 1079, 2474, 593, 519, 1318, 2427, 267, 649, 991, 547, 9062, 873, 1312, 780, 2026, 14517, 519, 17005, 2188, 780, 273, 343, 263, 14596, 264, 815, 476, 273, 3287, 910, 476, 1015, 7565, 14596, 264, 1341, 476, 274, 343, 3287, 910, 476, 1015, 2020, 7230, 913, 24324, 780, 12010, 343, 815, 476, 12010, 343, 910, 476, 12010, 271, 1341, 476, 274, 343, 273, 910, 476, 1789, 343, 692, 2171, 1294, 602, 649, 723, 513, 13392, 269, 1403, 649, 1175, 10208, 476, 12010, 343, 689, 1312, 5011, 267, 649, 786, 1205, 782, 540, 519, 2474, 593, 835, 2427, 543, 4734, 513, 476, 271, 593, 519, 824, 780, 271, 815, 476, 274, 343, 273, 910, 476, 1789, 343, 910, 476, 12010, 271, 692, 2691, 649, 3815, 267, 5469, 602, 972, 568, 513, 1455, 3815, 540, 476, 274, 538, 782, 519, 2474, 593, 519, 1318, 780, 271, 815, 476, 274, 3287, 273, 910, 476, 1015, 343, 910, 476, 4968, 271, 2020, 19667, 728, 1312, 5011, 676, 476, 274, 780, 271, 815, 1535, 273, 910, 476, 1015, 343, 910, 476, 4968, 271, 692, 15542, 528, 692, 271, 815, 630, 343, 266, 476, 2004, 7565, 343, 910, 476, 2568, 2020, 13729, 519, 2188, 3160, 547, 476, 271, 780, 343, 1341, 476, 2004, 815, 476, 271, 7545, 1535, 910, 476, 2568, 815, 476, 271, 692, 343, 815, 910, 2004, 7545, 5231, 1535, 815, 476, 2568, 692, 13425, 1384, 2252, 5231, 1535, 815, 476, 2568, 5231, 1287, 621, 3576, 1200, 5231, 476, 14596, 270, 2568, 815, 476, 278, 269, 276, 3108, 5231, 547, 1205, 1524, 547, 11968, 13353, 267, 855, 952, 1352, 1185, 547, 5397, 476, 1015, 11465, 10774, 337, 14887, 4947, 1394, 267, 1287, 1352, 1131, 723, 1044, 6117, 693, 476, 2004, 11465, 10774, 337, 538, 799, 2013, 621, 1131, 1491, 1200, 476, 14596, 270, 2004, 815, 476, 280, 5231, 3108, 547, 1205, 1394, 269, 4595, 476, 280, 3108, 568, 606, 5662, 543, 513, 3368, 3476, 982, 476, 278, 269, 276, 3108, 267, 621, 11974, 780, 2252, 5231, 1535, 815, 910, 2004, 5231, 1287, 621, 3576, 1200, 5231, 476, 14596, 8987, 2004, 264, 815, 910, 280, 3108, 5231, 547, 1205, 547, 11968, 13353, 269, 2334, 568, 267, 952, 1352, 941, 6117, 476, 2004, 11465, 10774, 337, 23651, 1287, 1352, 1131, 723, 1044, 538, 11968, 13353, 476, 280, 3108, 3516, 269, 476, 1015, 11465, 10774, 337, 14887, 982, 910, 2004, 11465, 10774, 337, 1131, 581, 910, 2568, 11465, 10774, 337, 538, 799, 2013, 621, 1131, 1491, 1200, 910, 278, 269, 276, 3108, 547, 1205, 1394, 269, 910, 278, 269, 276, 3108, 568, 606, 5662, 543, 513, 3368, 3476, 982, 910, 280, 3108, 267, 543, 621, 11974, 269, 4107, 4589, 1131, 7947, 713, 3070, 607, 1373, 1932, 530, 1512, 323, 267, 855, 875, 1454, 1187, 568, 602, 286, 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 11933, 3749, 5506, 2147, 547, 14171, 932, 1734, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 25111, 912, 20806, 3188, 1377, 1384, 2162, 1703, 616, 476, 5655, 2164, 692, 289, 5802, 11762, 3436, 17438, 3436, 11933, 3749, 5506, 692, 2162, 14171, 932, 1734, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1607, 2376, 267, 585, 1053, 543, 3610, 267, 568, 5631, 827, 5506, 267, 519, 6310, 1259, 540, 3168, 693, 4351, 4960, 543, 568, 513, 10156, 4528, 540, 14171, 932, 1734, 27326, 780, 2162, 1548, 1684, 1411, 5700, 827, 17438, 286, 630, 273, 2020, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1432, 616, 519, 10171, 338, 540, 1114, 2621, 950, 596, 5066, 513, 18062, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 19177, 4023, 18062, 616, 6825, 8335, 593, 741, 3670, 8188, 269, 7994, 1101, 4888, 312, 835, 540, 873, 269, 594, 666, 2141, 3442, 1776, 602, 786, 2285, 803, 513, 1732, 4960, 540, 10888, 269, 31385, 780, 2162, 13088, 585, 15154, 827, 17438, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 1374, 707, 1378, 5506, 4336, 888, 1692, 798, 596, 4766, 519, 1114, 2694, 2496, 2162, 6904, 1975, 514, 2996, 2496, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 4692, 596, 960, 856, 799, 8095, 2996, 941, 1031, 547, 5352, 519, 4908, 12125, 2496, 2162, 2311, 2274, 770, 2290, 13718, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5331, 1166, 6235, 513, 11777, 513, 1297, 540, 2053, 269, 2052, 596, 960, 856, 519, 5506, 596, 786, 1205, 513, 2212, 593, 693, 2547, 835, 540, 519, 1166, 2354, 2496, 2162, 2052, 1405, 4855, 513, 3213, 514, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 5352, 513, 1305, 540, 4351, 2164, 286, 2052, 596, 18174, 519, 4351, 1138, 15975, 2496, 2162, 16700, 24483, 15932, 1145, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 7617, 540, 891, 2093, 827, 4351, 1145, 616, 2965, 2953, 2496, 2162, 5975, 1411, 513, 28985, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 23175, 338, 610, 570, 5661, 910, 519, 16101, 29156, 2394, 596, 3094, 621, 269, 1215, 1454, 1131, 596, 2628, 547, 1404, 2496, 2162, 634, 17510, 1485, 5975, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 763, 1985, 4557, 1004, 4947, 883, 513, 4558, 786, 581, 4280, 741, 14512, 269, 1403, 519, 16101, 568, 11278, 736, 267, 1131, 596, 914, 11278, 272, 602, 1079, 540, 891, 4557, 1004, 786, 723, 519, 1482, 14512, 26042, 2162, 28038, 20518, 1903, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 2691, 2947, 18062, 616, 18202, 1927, 799, 798, 596, 2503, 547, 1294, 811, 1419, 267, 1100, 3670, 525, 610, 782, 3670, 525, 26042, 2162, 14171, 932, 1734, 27326, 692, 7462, 8609, 281, 476, 275, 543, 476, 276, 692, 1607, 2376, 267, 585, 1053, 543, 3610, 267, 568, 5631, 827, 5506, 267, 519, 6310, 1259, 540, 3168, 693, 4351, 4960, 780, 2162, 715, 1149, 543, 570, 839, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 23737, 1946, 621, 568, 602, 950, 596, 12235, 1079, 18062, 596, 616, 811, 2693, 547, 1205, 513, 6060, 540, 476, 280, 982, 540, 476, 1015, 269, 1548, 827, 519, 2013, 540, 476, 274, 18062, 286, 1772, 513, 6060, 540, 476, 280, 811, 2693, 1287, 513, 6060, 540, 476, 1015, 609, 476, 274, 18062, 2496, 2162, 5565, 781, 7577, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 278, 11084, 616, 695, 2586, 538, 513, 8708, 269, 1411, 3094, 952, 519, 1079, 4544, 11084, 5905, 269, 1548, 568, 519, 5506, 540, 10888, 2496, 2162, 12736, 610, 700, 846, 2496, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 288, 12464, 2401, 914, 338, 3368, 519, 2724, 538, 1010, 17927, 593, 519, 19184, 540, 513, 11777, 267, 10888, 606, 3160, 2179, 585, 513, 2212, 543, 9561, 1010, 2724, 952, 519, 1267, 568, 513, 2766, 269, 2991, 476, 273, 333, 4249, 646, 814, 4465, 4010, 562, 2053, 269, 13201, 269, 1547, 1547, 16317, 2162, 3213, 514, 570, 1601, 532, 10632, 692, 7462, 8609, 281, 476, 275, 7420, 5426, 1384, 2791, 543, 594, 1404, 513, 3014, 5473, 20422, 25001, 540, 513, 4023, 11777, 269, 14597, 594, 4584, 670, 295, 543, 596, 4584, 8946, 269, 634, 11777, 568, 16207, 14578, 2394, 649, 1294, 2901, 1079, 9843, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1125, 543, 554, 538, 1582, 269, 11161, 6769, 2018, 2132, 1582, 269, 11161, 314, 327, 316, 5897, 1038, 1267, 815, 7183, 5897, 1038, 16771, 815, 1582, 269, 7773, 1676, 31476, 1038, 952, 16771, 2652, 8771, 6769, 2018, 1948, 10794, 781, 711, 936, 1477, 2018, 1267, 815, 1582, 4318, 1998, 10663, 4311, 3418, 1038, 8640, 16771, 568, 7183, 6769, 2018, 1948, 8571, 338, 616, 9243, 1477, 2018, 1267, 815, 476, 271, 1477, 1038, 3116, 6769, 2018, 1948, 6153, 585, 16771, 267, 3983, 585, 17485, 518, 1477, 2018, 1267, 815, 10581, 2891, 8882, 257, 952, 16771, 2652, 21802, 11065, 299, 19272, 3116, 29038, 8882, 257, 10142, 1038, 952, 1582, 6230, 655, 334, 1125, 6769, 2018, 1582, 269, 11161, 314, 327, 316, 815, 1267, 5897, 1038, 2132, 1267, 5897, 825, 1219, 7575, 4311, 8029, 1038, 585, 1847, 538, 1582, 269, 2102, 4733, 318, 29729, 8548, 7174, 28399, 2018, 1582, 4877, 2313, 9852, 913, 3418, 2018, 6556, 630, 332, 913, 267, 1582, 3418, 2018, 1582, 21014, 31476, 825, 1219, 798, 4311, 267, 1847, 8029, 1038, 5727, 27987, 513, 1007, 4604, 4611, 689, 519, 1699, 6345, 2921, 1847, 18851, 1477, 1038, 1267, 815, 4258, 1087, 13750, 16216, 1998, 10663, 284, 1345, 4318, 1998, 10663, 267, 535, 523, 284, 1345, 8807, 523, 19572, 1509, 334, 1125, 284, 1345, 6230, 655, 334, 1125, 3418, 1038, 1267, 4877, 2313, 9852, 913, 3418, 1038, 2132, 1267, 5897, 825, 1219, 568, 318, 3410, 1400, 4311, 8029, 1038, 2132, 1582, 18994, 14682, 877, 318, 1478, 14052, 0, 12534, 821, 815, 703, 9272, 15405, 21346, 815, 11713, 558, 817, 17342, 2639, 1721, 1775, 538, 2039, 263, 12534, 821, 2187, 825, 5569, 821, 815, 3403, 14061, 12294, 4590, 825, 2527, 6910, 30415, 821, 994, 12534, 821, 815, 703, 9272, 15405, 1721, 1775, 538, 2039, 263, 12534, 821, 2187, 825, 15254, 821, 815, 3403, 14061, 12294, 14061, 20889, 2891, 19515, 825, 585, 1990, 538, 15254, 821, 912, 1038, 952, 1990, 538, 2527, 912, 2018, 1780, 454, 1038, 952, 1990, 711, 538, 2527, 912, 2018, 952, 1990, 711, 538, 9631, 817, 912, 3546, 9631, 817, 6910, 18750, 994, 1721, 1775, 538, 9631, 817, 912, 825, 1820, 9217, 264, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 1948, 7383, 23905, 454, 5814, 6908, 26569, 607, 588, 692, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5228, 21267, 1104, 7510, 7120, 607, 12301, 454, 5228, 1085, 27251, 1104, 28135, 692, 560, 26644, 3488, 30537, 6938, 910, 634, 12430, 22953, 2561, 17210, 258, 1948, 589, 269, 16534, 1210, 30551, 20145, 910, 15932, 1239, 2798, 692, 258, 12361, 8073, 4351, 2473, 543, 586, 5439, 454, 560, 22182, 3488, 2414, 1376, 609, 649, 786, 18082, 513, 12430, 9577, 799, 786, 581, 1031, 547, 5352, 938, 1239, 269, 769, 1931, 547, 798, 865, 5225, 2824, 519, 1297, 540, 5439, 281, 262, 9239, 560, 23584, 518, 3488, 8245, 3634, 12430, 1599, 910, 962, 815, 513, 311, 1341, 536, 5073, 12639, 20179, 269, 23092, 263, 272, 994, 560, 269, 2515, 8663, 16553, 3650, 518, 3488, 21579, 7204, 5073, 258, 560, 22182, 3488, 7049, 4733, 15932, 2338, 5073, 333, 815, 588, 269, 2515, 8663, 4732, 331, 3187, 3488, 15675, 1297, 540, 5439, 585, 2473, 543, 962, 3299, 476, 2004, 267, 476, 1911, 994, 258, 8073, 678, 543, 678, 272, 267, 4351, 10321, 540, 476, 1911, 2338, 1142, 609, 1611, 815, 476, 271, 543, 3044, 11539, 815, 476, 272, 454, 337, 815, 5286, 20179, 20120, 333, 3799, 994, 337, 272, 815, 5286, 20179, 20120, 333, 3799, 2020, 560, 269, 2515, 8663, 16553, 3650, 518, 3488, 18183, 2682, 3892, 585, 2473, 5073, 258, 8073, 4351, 18452, 6152, 2473, 1210, 678, 454, 258, 2422, 891, 585, 1434, 3308, 910, 630, 11743, 13448, 815, 476, 274, 267, 31901, 22563, 13448, 815, 476, 273, 994, 11743, 13448, 815, 588, 269, 2515, 8663, 4732, 331, 3187, 2891, 15675, 6399, 585, 10451, 2473, 2580, 268, 276, 267, 276, 267, 274, 994, 560, 323, 22563, 13448, 815, 588, 269, 2515, 8663, 4732, 331, 3187, 3488, 306, 601, 551, 9208, 8061, 2747, 585, 10451, 2473, 3299, 268, 276, 267, 276, 267, 273, 994, 311, 815, 1611, 13448, 2608, 678, 1341, 31901, 22563, 13448, 692, 560, 269, 2515, 8663, 16553, 3650, 518, 3488, 290, 4141, 13266, 5073, 258, 560, 22182, 3488, 15675, 513, 630, 20228, 2100, 264, 543, 536, 630, 11328, 1061, 264, 585, 3244, 4327, 12430, 1599, 5073, 258, 8564, 513, 815, 476, 271, 269, 3374, 543, 536, 815, 476, 273, 269, 276, 585, 1434, 3308, 454, 320, 815, 588, 269, 2515, 8663, 4732, 331, 3187, 3488, 15675, 834, 20228, 2100, 257, 585, 22953, 1899, 3299, 476, 271, 269, 4905, 267, 476, 273, 269, 271, 267, 271, 269, 3374, 994, 321, 815, 588, 269, 2515, 8663, 4732, 331, 3187, 3488, 15675, 834, 11328, 1061, 257, 585, 22953, 1899, 3299, 476, 272, 269, 271, 267, 476, 276, 269, 271, 267, 476, 273, 269, 276, 2020, 560, 269, 2515, 8663, 16553, 3650, 518, 3488, 4910, 573, 783, 5073, 258, 560, 22182, 3488, 15675, 15895, 3892, 585, 6846, 3773, 547, 3244, 4327, 12430, 1599, 5073, 258, 8073, 4351, 1763, 573, 783, 2165, 1763, 1210, 678, 454, 258, 1611, 815, 476, 271, 454, 560, 323, 22563, 318, 637, 815, 588, 269, 2515, 8663, 4732, 331, 3187, 18011, 15675, 9208, 8061, 2747, 585, 15895, 5470, 3299, 271, 269, 271, 267, 272, 269, 271, 267, 271, 269, 273, 994, 637, 815, 31901, 22563, 318, 637, 265, 678, 272, 476, 7531, 258, 560, 269, 2515, 8663, 16804, 333, 267, 1611, 13448, 267, 31901, 22563, 13448, 267, 31901, 22563, 318, 637, 316, 4590, 258, 2637, 4733, 962, 2418, 1759, 593, 519, 20533, 9695, 1899, 543, 5470, 270, 7224, 1047, 454, 258, 15510, 22953, 7412, 454, 344, 2958, 815, 536, 1341, 513, 2608, 2473, 3097, 258, 17006, 6846, 270, 19587, 454, 344, 815, 586, 2958, 1341, 759, 4449, 567, 692, 258, 853, 1681, 15510, 22953, 7412, 834, 8802, 299, 2580, 1239, 2798, 2473, 543, 586, 538, 513, 1239, 7406, 454, 337, 331, 815, 19073, 6185, 1092, 20988, 18692, 825, 27835, 311, 9166, 2473, 2676, 672, 1412, 344, 9166, 586, 2676, 672, 1412, 8802, 299, 9166, 344, 2958, 8679, 2020, 560, 22182, 3488, 17004, 519, 1101, 2947, 9343, 540, 938, 1239, 18134, 5073, 560, 21606, 18134, 16868, 331, 23584, 14061, 5882, 269, 14683, 2775, 26174, 263, 9471, 284, 271, 11723, 692, 258, 12361, 12433, 14170, 13672, 543, 12498, 692, 258, 32114, 586, 815, 513, 311, 1341, 536, 454, 258, 513, 9625, 13672, 454, 258, 536, 9625, 12498, 692, 258, 12433, 519, 1611, 540, 2473, 543, 586, 454, 343, 11743, 815, 5286, 32557, 11583, 994, 344, 11743, 815, 5286, 32557, 12169, 2020, 258, 12433, 519, 2474, 2877, 585, 519, 1003, 1807, 543, 14009, 540, 13672, 454, 337, 331, 9131, 290, 990, 311, 312, 11172, 815, 630, 337, 331, 9131, 311, 11172, 910, 1535, 11743, 264, 2608, 630, 337, 331, 9131, 344, 11172, 910, 586, 11743, 994, 337, 331, 9131, 309, 541, 311, 11172, 815, 630, 337, 331, 9131, 311, 11172, 910, 1535, 11743, 264, 1262, 273, 692, 258, 12433, 13672, 454, 258, 23168, 1807, 281, 595, 20654, 766, 1063, 2473, 543, 586, 454, 258, 9324, 7631, 1807, 281, 7352, 766, 540, 2473, 454, 10401, 815, 678, 331, 9131, 290, 990, 311, 312, 262, 4940, 8999, 3890, 1315, 678, 331, 9131, 309, 541, 311, 262, 4940, 8999, 10797, 258, 12433, 12498, 454, 15883, 815, 586, 11743, 910, 630, 10401, 2608, 1535, 11743, 994, 2745, 3488, 10401, 815, 3299, 13672, 994, 2745, 3488, 15883, 815, 3299, 15883, 9239, 258, 12361, 20530, 2109, 910, 2274, 770, 8293, 4100, 7412, 454, 2988, 1042, 815, 13672, 2608, 2473, 1341, 12498, 7531, 258, 12361, 12433, 7844, 5450, 7879, 910, 681, 7704, 267, 681, 10345, 263, 17385, 1070, 570, 7704, 543, 681, 317, 273, 6465, 2065, 692, 258, 1763, 573, 783, 8210, 5558, 454, 3918, 815, 630, 337, 331, 9131, 344, 11172, 910, 586, 335, 1042, 264, 1262, 273, 454, 258, 4910, 573, 783, 5681, 8293, 4100, 454, 305, 7704, 815, 11555, 27904, 4590, 2745, 2891, 4910, 573, 783, 5681, 540, 8293, 4100, 630, 305, 7704, 264, 568, 24333, 305, 7704, 2020, 258, 6480, 13846, 9208, 7352, 566, 630, 18406, 264, 610, 681, 10345, 454, 305, 10345, 815, 5286, 28460, 27562, 7704, 14370, 333, 268, 273, 4917, 2745, 19629, 333, 4910, 573, 783, 5776, 541, 18438, 630, 24092, 8061, 2747, 21566, 264, 568, 24333, 305, 10345, 2020, 258, 11192, 5681, 540, 10945, 630, 4811, 306, 994, 15288, 815, 630, 337, 331, 9131, 344, 11172, 910, 586, 11743, 264, 1262, 273, 454, 258, 11192, 5681, 8293, 4100, 454, 4811, 306, 815, 23140, 27904, 4590, 2745, 19629, 333, 13707, 5681, 540, 8293, 4100, 630, 4811, 306, 264, 568, 24333, 4811, 306, 2020, 258, 681, 317, 273, 6465, 2065, 454, 305, 273, 815, 476, 272, 910, 681, 7704, 270, 4811, 306, 454, 2745, 19629, 333, 681, 273, 6465, 2065, 568, 24333, 305, 273, 9239, 258, 12361, 30487, 3213, 324, 13266, 6111, 7531, 258, 26440, 4181, 540, 5191, 454, 4206, 815, 476, 273, 265, 333, 910, 476, 273, 692, 258, 9208, 5470, 267, 512, 21178, 520, 2065, 543, 476, 533, 17032, 585, 32437, 834, 10401, 257, 11664, 454, 10345, 318, 10401, 815, 5286, 28460, 27562, 10345, 1262, 273, 29265, 331, 9131, 309, 541, 311, 262, 4940, 8999, 15405, 339, 318, 10401, 815, 13672, 270, 10345, 318, 10401, 454, 335, 318, 10401, 815, 476, 272, 910, 28135, 6745, 6983, 4206, 6025, 318, 10401, 267, 4206, 284, 4206, 2020, 258, 9208, 5470, 267, 512, 21178, 520, 2065, 543, 476, 533, 17032, 585, 3955, 1061, 834, 15883, 257, 11664, 454, 10345, 10734, 9508, 815, 5286, 28460, 27562, 10345, 16732, 272, 14672, 1341, 1535, 11743, 1262, 273, 14370, 337, 331, 9131, 309, 541, 311, 262, 4940, 8999, 3890, 21875, 339, 10734, 9508, 815, 12498, 270, 10345, 10734, 9508, 3097, 335, 10734, 9508, 815, 476, 272, 910, 28135, 6745, 6983, 4206, 6025, 10734, 9508, 267, 4206, 284, 4206, 9239, 258, 12361, 3213, 324, 13266, 10495, 12834, 692, 560, 23584, 518, 3488, 26329, 16214, 5450, 7879, 5073, 560, 16553, 3650, 518, 3488, 10112, 20156, 540, 3213, 324, 13266, 5073, 332, 1091, 815, 19073, 6185, 1092, 20988, 18692, 825, 27835, 11243, 9166, 9131, 20228, 2100, 630, 10401, 264, 3299, 1412, 11328, 1061, 630, 15883, 264, 11172, 2676, 672, 1412, 290, 4141, 2310, 9166, 1496, 10401, 267, 12498, 16689, 672, 1412, 305, 10345, 9166, 314, 10345, 318, 10401, 267, 10323, 10734, 9508, 16689, 672, 1412, 339, 21178, 520, 2065, 9166, 314, 339, 318, 10401, 267, 512, 10734, 9508, 16689, 672, 1412, 335, 268, 19368, 9166, 314, 335, 318, 10401, 267, 533, 10734, 9508, 2639, 825, 7684, 454, 994, 332, 1091, 7531, 560, 16553, 3650, 518, 3488, 26329, 10495, 12834, 17210, 258, 7844, 10495, 910, 853, 1681, 782, 1883, 10832, 538, 546, 16244, 1239, 7406, 609, 2039, 476, 272, 454, 916, 815, 19073, 6185, 1092, 20988, 18692, 825, 27835, 8269, 9166, 2039, 263, 271, 267, 272, 13211, 672, 1412, 4910, 573, 783, 5681, 540, 8293, 4100, 630, 305, 7704, 264, 9166, 681, 7704, 2676, 672, 1412, 305, 10345, 630, 24092, 8061, 2747, 21566, 264, 9166, 681, 10345, 2676, 672, 1412, 13707, 5681, 540, 8293, 4100, 630, 4811, 306, 264, 9166, 570, 7704, 2676, 672, 1412, 305, 273, 6465, 2065, 9166, 681, 273, 454, 672, 7684, 454, 2020, 258, 12338, 856, 519, 546, 16244, 4994, 6241, 547, 1294, 519, 11778, 454, 916, 269, 559, 665, 18020, 272, 281, 280, 316, 672, 692, 560, 23584, 518, 3488, 5522, 1824, 5073, 560, 22182, 3488, 5522, 582, 21023, 539, 5288, 2920, 783, 5288, 6341, 9482, 4578, 17210, 258, 18140, 9695, 1996, 4890, 1239, 454, 10823, 8807, 2682, 6600, 12127, 1125, 14352, 1321, 267, 476, 277, 4917, 258, 15510, 22953, 7412, 454, 10823, 19502, 11583, 267, 337, 331, 9131, 8802, 299, 28710, 6003, 815, 1412, 8002, 783, 630, 16954, 1637, 22953, 7412, 264, 3299, 10233, 8782, 13582, 5073, 258, 2274, 770, 10945, 1899, 454, 10823, 19502, 11583, 267, 586, 335, 1042, 267, 6003, 815, 1412, 303, 9438, 539, 630, 8867, 770, 8293, 4100, 7412, 264, 3299, 2681, 8782, 19990, 10807, 672, 3097, 258, 14649, 4729, 6029, 4890, 1239, 454, 10823, 19502, 11583, 267, 586, 267, 1412, 549, 3299, 6003, 815, 262, 8624, 21124, 1239, 10807, 825, 454, 10823, 26644, 3488, 8002, 783, 5288, 21023, 539, 5073, 10823, 11859, 16932, 3488, 311, 5073, 10823, 269, 29786, 3488, 344, 5073, 10823, 269, 5586, 754, 4590, 10823, 20481, 4590, 560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 300, 294, 269, 277, 3953, 1053, 692, 272, 18926, 4578, 2079, 2060, 9185, 1280, 15101, 300, 294, 269, 277, 3953, 1053, 12480, 690, 13340, 525, 29149, 10803, 609, 9185, 1677, 1265, 513, 2582, 10855, 1871, 540, 513, 1239, 1305, 971, 607, 1611, 267, 11667, 267, 7154, 610, 519, 3044, 11539, 10484, 2162, 623, 6224, 306, 9338, 12283, 289, 6938, 12813, 3722, 30121, 570, 12239, 692, 21316, 30388, 4841, 1590, 1780, 782, 2979, 6030, 609, 513, 595, 610, 1732, 547, 4434, 547, 519, 1985, 2979, 1377, 269, 8307, 5049, 5293, 609, 513, 595, 610, 1732, 786, 1293, 2509, 5870, 2852, 13675, 4170, 269, 1403, 692, 2162, 17438, 4635, 667, 823, 692, 8794, 667, 823, 2290, 8525, 11137, 1635, 7917, 645, 269, 9466, 267, 634, 11882, 3557, 2160, 11762, 281, 20946, 281, 267, 10803, 24110, 476, 276, 476, 279, 9046, 281, 1548, 616, 519, 17831, 540, 12902, 1585, 18304, 609, 1079, 18062, 286, 1215, 666, 596, 692, 2162, 623, 2894, 10064, 312, 299, 309, 3198, 8656, 667, 7968, 11286, 16774, 5508, 11581, 24102, 6168, 519, 9119, 10495, 31745, 832, 692, 303, 2894, 10064, 312, 299, 309, 3198, 8656, 667, 7968, 11286, 16774, 5508, 11581, 24102, 6168, 519, 9119, 10495, 31745, 832, 4985, 901, 568, 513, 5618, 4367, 547, 519, 9119, 10495, 31745, 832, 269, 1280, 811, 1344, 593, 519, 10495, 31745, 832, 692, 2162, 6103, 476, 278, 4569, 10803, 543, 17438, 6103, 476, 278, 4569, 6103, 476, 278, 4569, 3399, 11261, 281, 4728, 476, 1240, 267, 476, 1001, 274, 7736, 11261, 2433, 2904, 476, 2190, 267, 476, 1001, 274, 692, 16215, 11137, 4841, 786, 581, 2111, 547, 281, 946, 4351, 5439, 547, 1397, 602, 789, 3132, 11347, 5439, 543, 1489, 4570, 31921, 538, 7194, 946, 4351, 3732, 2164, 547, 2721, 31921, 827, 692, 2162, 6103, 476, 277, 9119, 10495, 269, 4432, 580, 1043, 7147, 12708, 11310, 543, 10341, 692, 22706, 476, 277, 9119, 10495, 4432, 580, 1043, 7147, 12708, 11310, 543, 10341, 5254, 288, 2752, 6103, 476, 277, 9119, 10495, 19556, 6713, 11621, 1452, 2875, 6788, 786, 711, 581, 7396, 896, 513, 5094, 692, 2162, 2271, 549, 547, 10803, 476, 279, 15099, 692, 4504, 549, 547, 10803, 476, 279, 15099, 5149, 476, 272, 4446, 267, 7412, 543, 17781, 28977, 6480, 13846, 942, 7406, 585, 1770, 8262, 14313, 476, 279, 17963, 1862, 12708, 7726, 16610, 14847, 4293, 7689, 12697, 543, 21909, 539, 8249, 4446, 11708, 692, 2162, 9119, 269, 17438, 543, 10803, 15099, 6651, 269, 4860, 2213, 476, 1001, 271, 692, 12385, 24136, 17438, 543, 10803, 15099, 6651, 4860, 2213, 476, 1001, 271, 901, 2985, 568, 17543, 2451, 10145, 269, 4985, 634, 9119, 15099, 6651, 5713, 607, 513, 3391, 585, 3610, 950, 4058, 6044, 692, 2162, 29149, 10803, 269, 22039, 20518, 1903, 543, 4256, 28977, 476, 273, 269, 272, 269, 22039, 20518, 1903, 269, 3848, 476, 273, 692, 6637, 29149, 10803, 269, 272, 22039, 20518, 1903, 543, 4256, 28977, 22039, 20518, 1903, 589, 4908, 3892, 568, 513, 3349, 602, 2982, 5049, 610, 11996, 540, 1239, 609, 513, 1293, 540, 519, 1297, 692, 2162, 18926, 5811, 4635, 717, 333, 10179, 545, 692, 21809, 6750, 5811, 4635, 717, 333, 10179, 545, 1703, 616, 1082, 3301, 15004, 602, 786, 20272, 1239, 269, 1280, 13680, 2079, 267, 513, 22369, 949, 581, 606, 3617, 1907, 269, 15019, 18580, 1115, 1331, 9786, 9185, 10484, 2162, 19294, 3008, 7838, 2464, 5508, 595, 7728, 2207, 6730, 9501, 3918, 4696, 19294, 3008, 7838, 2464, 5508, 595, 7728, 2207, 476, 1556, 270, 736, 270, 1001, 275, 269, 1548, 568, 513, 2268, 540, 4099, 286, 513, 1871, 693, 519, 4099, 610, 1647, 540, 513, 1239, 1305, 692, 10933, 3008, 7838, 2464, 5508, 595, 7728, 2207, 6730, 9501, 3918, 4696, 6399, 543, 2405, 1014, 19294, 3008, 7838, 2464, 5508, 595, 7728, 2207, 1548, 568, 513, 2268, 540, 4099, 286, 513, 1871, 693, 519, 4099, 610, 1647, 540, 513, 1239, 1305, 11153, 1114, 2081, 547, 3313, 519, 4099, 281, 25042, 2405, 1014, 6399, 692, 2162, 7689, 476, 275, 21474, 540, 6239, 570, 754, 1890, 692, 11073, 1467, 21474, 540, 513, 3892, 521, 3337, 910, 7116, 1275, 543, 7729, 342, 1145, 910, 1492, 3339, 3892, 21474, 540, 3844, 12402, 910, 11743, 267, 11667, 267, 543, 7154, 28024, 342, 1145, 543, 6239, 570, 754, 1890, 7689, 476, 275, 21474, 540, 6239, 692, 2162, 3487, 594, 2433, 6969, 649, 2253, 476, 272, 269, 1684, 596, 1589, 602, 782, 540, 519, 2818, 540, 707, 1362, 786, 723, 519, 1482, 30618, 2597, 286, 12315, 513, 2601, 585, 707, 2626, 780, 17273, 476, 272, 6875, 513, 2871, 612, 281, 1215, 13518, 1684, 3776, 7982, 335, 2931, 1284, 662, 286, 589, 4578, 14635, 11314, 1684, 596, 917, 875, 5230, 707, 30618, 568, 286, 1684, 596, 1589, 707, 30618, 568, 1932, 5230, 286, 2368, 3173, 1589, 865, 269, 769, 1249, 267, 3744, 692, 2162, 17976, 476, 273, 281, 29149, 10803, 543, 4112, 528, 2218, 4578, 5811, 692, 299, 15145, 476, 273, 281, 29149, 10803, 543, 4112, 528, 2218, 4578, 5811, 4329, 32438, 593, 21885, 5071, 476, 1626, 15706, 630, 279, 1142, 689, 1079, 5095, 264, 609, 18187, 919, 7377, 476, 272, 7377, 476, 273, 15932, 569, 3732, 476, 275, 2043, 692, 2162, 11724, 532, 4578, 609, 22039, 28977, 692, 25321, 4753, 8976, 667, 14110, 5085, 8008, 16774, 9119, 10495, 5741, 14160, 19798, 4629, 6865, 8863, 17920, 2894, 294, 2464, 589, 4813, 894, 10495, 7689, 11724, 532, 4578, 609, 28977, 9119, 10495, 12754, 6796, 2160, 540, 3502, 1154, 5069, 1299, 17459, 692, 2162, 6673, 10803, 281, 28924, 16086, 476, 272, 692, 4338, 10803, 281, 28924, 16086, 476, 272, 2480, 1681, 22020, 14662, 272, 634, 1576, 2488, 6044, 538, 3695, 1239, 269, 476, 275, 14662, 273, 634, 1576, 2488, 6044, 538, 10386, 269, 476, 276, 14662, 274, 634, 1576, 2488, 6044, 538, 17634, 780, 2162, 21850, 4629, 23604, 5058, 667, 25353, 589, 2793, 14877, 306, 3041, 5442, 589, 5254, 288, 2316, 306, 23154, 2910, 7838, 10345, 5442, 13673, 309, 7644, 2177, 16774, 3201, 13316, 22295, 22494, 692, 19860, 4629, 23604, 5058, 667, 25353, 589, 2793, 14877, 306, 3041, 5442, 589, 5254, 288, 2316, 306, 23154, 2910, 7838, 10345, 5442, 13673, 309, 7644, 2177, 16774, 3201, 13316, 22295, 22494, 595, 269, 7167, 8759, 14502, 2160, 540, 4406, 16780, 807, 267, 8050, 16671, 4338, 6579, 6369, 287, 292, 22473, 269, 308, 11901, 269, 2464, 4065, 538, 2409, 540, 4294, 7194, 568, 1271, 692, 2162, 631, 12442, 476, 31430, 8212, 267, 11061, 1299, 10803, 540, 14333, 585, 5664, 3427, 11334, 692, 300, 12442, 476, 31430, 8212, 267, 11061, 1299, 10803, 540, 14333, 585, 5664, 3427, 11334, 26189, 832, 2961, 5055, 22067, 879, 267, 26352, 7615, 5398, 12140, 267, 13241, 18509, 13541, 5981, 529, 1546, 30448, 267, 10361, 540, 4569, 8257, 267, 645, 11286, 3220, 269, 1520, 686, 26413, 692, 2162, 476, 275, 269, 4985, 547, 10803, 692, 32417, 585, 19296, 476, 275, 268, 272, 476, 275, 269, 4985, 547, 10803, 29149, 10803, 9537, 540, 1239, 589, 1083, 622, 610, 4351, 4756, 568, 513, 7274, 610, 14487, 4171, 1871, 949, 4268, 689, 835, 1770, 540, 7634, 692, 2162, 30633, 476, 272, 267, 28055, 539, 476, 1001, 275, 21598, 10298, 267, 6673, 10803, 11929, 692, 10403, 3210, 2055, 267, 476, 1001, 275, 267, 1101, 8908, 256, 8074, 281, 2368, 4967, 281, 7490, 1118, 31886, 267, 2303, 9283, 267, 543, 2307, 2055, 269, 901, 568, 1175, 835, 6673, 28135, 4116, 521, 3355, 8942, 693, 6061, 891, 269, 594, 267, 607, 692, 2162, 20970, 609, 13158, 3930, 692, 22706, 476, 277, 9119, 267, 22588, 476, 273, 267, 5149, 476, 273, 269, 272, 20970, 609, 13158, 3930, 11137, 7089, 540, 14292, 2395, 281, 476, 1428, 630, 272, 1554, 815, 476, 3393, 3764, 264, 12474, 547, 581, 4121, 2422, 5223, 7744, 547, 4194, 1483, 8996, 543, 6310, 692, 2162, 5871, 11759, 3557, 11621, 269, 11621, 585, 19556, 13756, 4273, 1833, 998, 6103, 20946, 692, 24092, 585, 19556, 6657, 476, 272, 281, 5269, 2631, 540, 2042, 543, 829, 572, 3164, 538, 6061, 873, 269, 7527, 1227, 21295, 1053, 1376, 676, 7713, 547, 2933, 519, 2495, 540, 513, 1966, 543, 3168, 585, 692, 2162, 1403, 519, 2622, 21518, 3776, 15858, 269, 16684, 11137, 1384, 2252, 519, 2622, 21518, 3776, 15858, 16684, 11137, 281, 4635, 519, 4605, 1433, 267, 1403, 519, 2622, 21518, 513, 22810, 676, 6424, 808, 269, 8055, 267, 1053, 786, 5531, 2147, 1382, 689, 741, 4928, 547, 1711, 741, 1378, 1433, 780, 2162, 7046, 7232, 526, 539, 9046, 4149, 6295, 5741, 687, 692, 21316, 30388, 7046, 7232, 526, 539, 9046, 4149, 6295, 5741, 687, 5029, 1242, 676, 23140, 16775, 595, 20975, 23140, 16775, 5058, 570, 8582, 19181, 5254, 288, 2752, 476, 1001, 275, 16998, 32767, 476, 278, 11550, 297, 4488, 3582, 631, 17129, 8991, 585, 11550, 25770, 300, 4149, 5357, 309, 5058, 744, 23615, 26177, 634, 5741, 542, 27587, 585, 9046, 4149, 6295, 692, 2162, 4112, 528, 2218, 4578, 5811, 692, 7336, 528, 2218, 4578, 5811, 29312, 5576, 21516, 795, 2129, 2335, 525, 4732, 577, 21516, 287, 339, 1872, 23432, 269, 520, 4659, 540, 10803, 3400, 345, 2160, 540, 5303, 853, 5674, 17243, 326, 21692, 476, 1704, 270, 4353, 267, 476, 3199, 272, 271, 3400, 345, 8940, 14714, 520, 2524, 6745, 1872, 23432, 269, 520, 5988, 476, 1321, 267, 476, 1220, 279, 4985, 692, 2162, 901, 6437, 568, 851, 540, 519, 12409, 5358, 540, 5525, 540, 519, 31670, 3118, 5398, 12140, 269, 8028, 298, 301, 8582, 29612, 14875, 19006, 692, 290, 7838, 30278, 8085, 9331, 11123, 5254, 288, 2316, 306, 23154, 1299, 11550, 289, 5723, 6579, 14510, 16998, 4696, 2464, 476, 1556, 1299, 476, 1321, 901, 6437, 568, 851, 540, 519, 12409, 5358, 540, 5525, 540, 519, 31670, 3118, 5398, 12140, 269, 8028, 298, 301, 8582, 29612, 14875, 19006, 2441, 710, 670, 269, 6428, 322, 17010, 267, 10615, 540, 15099, 692, 2162, 476, 277, 555, 6103, 4569, 476, 275, 555, 22588, 5149, 476, 276, 281, 16387, 13445, 595, 281, 11730, 540, 9406, 25351, 9771, 2398, 3359, 692, 295, 5456, 4041, 312, 6167, 9281, 296, 3633, 590, 29558, 5357, 667, 8780, 30278, 307, 5442, 22552, 10813, 3582, 3201, 9338, 22218, 16774, 476, 277, 555, 6103, 4569, 476, 275, 555, 22588, 5149, 476, 276, 281, 16387, 13445, 595, 281, 11730, 540, 9406, 25351, 9771, 2398, 3359, 769, 6103, 476, 276, 267, 1053, 6444, 4320, 607, 606, 14487, 540, 692, 2162, 2480, 2660, 1773, 1824, 1659, 8542, 1774, 1504, 5181, 476, 5400, 267, 476, 1001, 277, 692, 9928, 2660, 1773, 1824, 12708, 7726, 281, 1215, 666, 7194, 581, 1031, 547, 4194, 2042, 286, 20638, 281, 8073, 543, 5659, 14649, 13602, 269, 11621, 281, 3397, 12629, 281, 24953, 909, 3619, 936, 670, 310, 2480, 2660, 1773, 1824, 32559, 17121, 20514, 540, 3514, 692, 2162, 6789, 306, 8577, 16774, 23166, 2562, 595, 27602, 4785, 11083, 590, 29558, 5357, 281, 589, 623, 6579, 5588, 11550, 16165, 4456, 5442, 5990, 6167, 3951, 3633, 29865, 2464, 692, 19798, 8577, 16774, 23166, 2562, 595, 27602, 4785, 11083, 590, 29558, 5357, 281, 589, 623, 6579, 5588, 11550, 16165, 4456, 5442, 5990, 6167, 3951, 3633, 29865, 2464, 26795, 18498, 15676, 543, 31929, 17880, 11169, 1977, 18926, 5948, 267, 2136, 2276, 540, 3013, 2261, 15925, 287, 600, 560, 520, 3820, 17227, 693, 3427, 692, 2162, 23426, 540, 4578, 20518, 1903, 692, 8893, 476, 1724, 6301, 22830, 14674, 513, 1239, 3892, 676, 922, 4099, 267, 3262, 267, 543, 2949, 3337, 269, 4039, 622, 519, 3903, 540, 4099, 543, 3262, 547, 519, 3337, 540, 519, 3892, 269, 1715, 18500, 3892, 21136, 692, 2162, 29896, 540, 519, 6341, 7204, 17392, 540, 519, 6399, 2052, 16700, 548, 611, 692, 22711, 540, 10803, 4065, 267, 11730, 267, 7089, 476, 274, 630, 26522, 264, 29896, 540, 519, 6341, 7204, 17392, 540, 519, 6399, 2052, 16700, 548, 611, 7788, 661, 269, 20242, 9469, 4993, 3557, 2160, 267, 3345, 16466, 17555, 645, 1173, 698, 2993, 2714, 328, 700, 1195, 7637, 6307, 25236, 692, 2162, 13445, 281, 14572, 12430, 12307, 692, 16215, 476, 272, 13445, 281, 14572, 12430, 12307, 715, 29841, 269, 272, 269, 17217, 11050, 569, 543, 946, 4559, 547, 4194, 2042, 269, 2422, 4559, 607, 513, 1259, 547, 1174, 2042, 543, 547, 3391, 519, 3070, 540, 3818, 9912, 2042, 282, 3442, 543, 692, 2162, 28024, 342, 667, 823, 25633, 10803, 11242, 543, 6096, 2854, 676, 7917, 674, 987, 21516, 692, 306, 651, 342, 667, 823, 25633, 10803, 11242, 543, 6096, 2854, 676, 7917, 674, 987, 21516, 11334, 616, 2016, 10479, 547, 1820, 607, 1082, 12215, 540, 519, 3211, 607, 2877, 585, 741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5228, 17511, 1104, 5903, 454, 3698, 554, 19340, 6262, 14591, 281, 5903, 27776, 8079, 9847, 703, 912, 825, 562, 284, 6352, 6262, 14591, 994, 825, 1267, 284, 271, 454, 825, 14327, 31699, 4590, 825, 585, 795, 538, 2039, 263, 272, 19885, 266, 272, 2187, 1038, 1293, 284, 271, 454, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 952, 14327, 5157, 316, 285, 284, 329, 912, 3546, 1293, 23785, 272, 454, 1038, 952, 1293, 285, 284, 329, 912, 2018, 1267, 284, 10946, 27203, 267, 14310, 994, 825, 2132, 1267, 454, 328, 815, 1496, 274, 267, 271, 267, 277, 267, 272, 267, 276, 2639, 2745, 22607, 19340, 9217, 4297, 0, 5228, 17511, 1104, 5903, 454, 5035, 5903, 11966, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 454, 5035, 8827, 912, 825, 1219, 1985, 299, 24147, 301, 3941, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 5903, 27776, 14158, 1038, 1267, 17342, 2639, 1038, 1699, 284, 3650, 454, 1038, 1247, 1699, 912, 2018, 10917, 284, 1699, 454, 2018, 1247, 10917, 912, 3546, 952, 263, 9690, 22183, 2999, 10917, 22183, 2187, 7386, 1267, 6910, 6025, 11391, 22183, 994, 7386, 2736, 454, 3546, 8640, 6025, 11391, 12785, 2652, 7183, 2187, 7386, 1267, 6910, 263, 271, 994, 7386, 2736, 454, 3546, 10917, 284, 31184, 12785, 454, 2018, 1699, 284, 9690, 12785, 454, 4449, 454, 1038, 2132, 1267, 454, 10852, 815, 8827, 4590, 320, 284, 5903, 11966, 263, 272, 994, 321, 284, 5903, 11966, 263, 274, 994, 322, 284, 5903, 11966, 263, 275, 994, 323, 284, 5903, 11966, 263, 278, 994, 324, 284, 5903, 11966, 263, 280, 994, 324, 12785, 30381, 454, 320, 12785, 284, 322, 454, 322, 12785, 284, 321, 454, 321, 12785, 284, 323, 454, 258, 314, 280, 267, 272, 267, 275, 267, 274, 267, 278, 6540, 2745, 9852, 664, 12785, 299, 24147, 301, 3941, 6357, 4297, 0, 5814, 5569, 454, 3698, 2638, 6781, 5416, 14720, 2187, 825, 1293, 284, 271, 454, 825, 1775, 284, 272, 454, 825, 1247, 6936, 912, 1038, 952, 5416, 2525, 321, 2187, 2018, 1820, 6262, 870, 994, 2018, 2736, 454, 1038, 3116, 912, 2018, 546, 322, 284, 321, 8584, 454, 2018, 952, 5560, 322, 285, 284, 328, 2187, 3546, 513, 23785, 328, 454, 3546, 1293, 23785, 272, 454, 2018, 3116, 912, 3546, 536, 23785, 328, 454, 3546, 1293, 23785, 272, 454, 2018, 1775, 23785, 272, 692, 13872, 3097, 21653, 284, 24834, 9272, 15405, 1721, 1775, 538, 2039, 4433, 1125, 2187, 825, 705, 815, 6358, 4590, 825, 705, 284, 629, 21858, 3488, 30386, 825, 513, 815, 703, 263, 629, 314, 271, 7481, 825, 536, 815, 703, 263, 629, 314, 272, 7481, 825, 952, 5416, 2525, 321, 2187, 1038, 1820, 263, 271, 994, 825, 3116, 912, 1038, 952, 6357, 283, 320, 2187, 3546, 10917, 284, 321, 454, 3546, 536, 30381, 454, 3546, 513, 284, 31184, 454, 1038, 2638, 6781, 5416, 14720, 994, 0, 5035, 8827, 912, 825, 1219, 5513, 20906, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 1219, 25961, 3799, 281, 842, 267, 21461, 2187, 2018, 952, 3799, 27045, 273, 2187, 3546, 2132, 21461, 19559, 2639, 2018, 8640, 3799, 538, 21461, 2187, 3546, 2132, 21461, 19559, 2639, 2018, 3116, 912, 3546, 21461, 19559, 316, 815, 25961, 3799, 268, 274, 22698, 5995, 11924, 25961, 3799, 268, 273, 267, 21461, 264, 1341, 25961, 3799, 268, 272, 267, 21461, 994, 2018, 2132, 21461, 19559, 2639, 1038, 21461, 284, 2715, 271, 281, 271, 267, 476, 272, 281, 476, 272, 267, 476, 273, 281, 476, 272, 8679, 1038, 2132, 25961, 3799, 267, 21461, 994, 10852, 815, 8827, 4590, 2745, 9852, 664, 6745, 1026, 20906, 263, 1839, 4297, 0, 3698, 7941, 5560, 1204, 754, 267, 27708, 2187, 825, 1267, 815, 476, 271, 454, 825, 1129, 815, 476, 272, 454, 825, 952, 26318, 283, 271, 610, 27708, 283, 271, 10778, 1038, 952, 26318, 283, 271, 543, 27708, 283, 271, 912, 2018, 1129, 815, 476, 272, 454, 1038, 3116, 912, 2018, 1129, 815, 910, 272, 454, 825, 26318, 267, 27708, 815, 2612, 5560, 1204, 754, 1070, 2612, 5560, 643, 529, 528, 994, 825, 1247, 630, 15965, 529, 528, 10922, 26318, 476, 2187, 1038, 31575, 2073, 524, 660, 815, 27708, 267, 476, 272, 454, 1038, 1247, 630, 339, 5404, 10922, 26318, 2187, 2018, 31575, 24177, 284, 476, 272, 454, 2018, 524, 660, 24177, 284, 476, 272, 454, 1038, 26318, 20699, 31575, 23645, 476, 272, 454, 1038, 1267, 6834, 524, 660, 23645, 476, 272, 454, 825, 952, 4433, 793, 2652, 910, 272, 2187, 1038, 1267, 815, 9625, 263, 14310, 910, 476, 272, 2020, 825, 1948, 13765, 24492, 454, 825, 952, 4590, 825, 2132, 1267, 454, 2745, 5560, 643, 728, 263, 271, 267, 273, 4297, 0, 5228, 17511, 1104, 5903, 692, 5035, 8827, 912, 825, 1219, 1297, 8170, 299, 1149, 4311, 267, 11097, 2195, 281, 5903, 27776, 3910, 590, 281, 1193, 264, 9847, 5903, 27776, 14158, 1038, 1899, 284, 271, 454, 1038, 2063, 11764, 284, 271, 454, 1038, 10917, 11764, 284, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 22829, 15892, 2018, 4994, 284, 867, 22829, 5157, 8079, 268, 9032, 454, 2018, 10917, 11764, 23785, 342, 573, 2195, 27709, 2639, 2018, 2063, 11764, 815, 10917, 11764, 454, 2018, 952, 6025, 11391, 11764, 2525, 1911, 2187, 3546, 10917, 11764, 284, 271, 454, 3546, 1899, 23785, 272, 454, 2018, 8640, 6025, 11391, 11764, 285, 1911, 2187, 3546, 10917, 11764, 284, 342, 573, 2195, 27709, 2639, 3546, 1899, 23785, 272, 454, 2018, 952, 9217, 2652, 7003, 22829, 9984, 272, 2187, 3546, 952, 6025, 11391, 11764, 285, 271, 2187, 7386, 1899, 23785, 272, 454, 7386, 2063, 11764, 284, 31184, 11764, 692, 7531, 1038, 1267, 17342, 1467, 267, 18431, 11764, 2639, 1038, 2132, 1267, 454, 10852, 284, 11405, 4590, 342, 573, 2195, 815, 1496, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 267, 1015, 2639, 306, 815, 476, 834, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 4840, 2745, 9852, 664, 8542, 3784, 8170, 299, 1149, 26028, 573, 2195, 267, 306, 11723, 692, 0, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 13346, 4131, 1562, 4311, 267, 590, 281, 1193, 267, 10593, 281, 5903, 27776, 8079, 9847, 1193, 912, 1038, 952, 263, 2254, 12759, 22829, 264, 2652, 7003, 263, 3333, 22284, 4297, 2187, 2018, 2132, 834, 4840, 1038, 1267, 284, 5257, 454, 1038, 585, 1775, 538, 2039, 12759, 22829, 15892, 2018, 10917, 284, 8999, 263, 3333, 22284, 5157, 281, 6352, 22829, 13580, 2020, 2018, 952, 6025, 11391, 285, 1839, 2187, 3546, 10917, 260, 284, 2918, 692, 2018, 6442, 614, 815, 3921, 22829, 5157, 8079, 1341, 10917, 454, 2018, 952, 263, 3333, 604, 614, 285, 867, 3488, 345, 10807, 2187, 3546, 6442, 614, 268, 284, 867, 3488, 345, 10807, 266, 272, 454, 3546, 6442, 614, 23785, 867, 3488, 320, 5073, 2018, 1267, 23785, 577, 337, 263, 3333, 604, 614, 994, 1038, 2132, 1267, 454, 10852, 284, 11405, 4590, 306, 815, 834, 745, 340, 4840, 3333, 22284, 815, 1496, 2918, 267, 280, 267, 1704, 6540, 2745, 9852, 664, 11075, 14823, 4131, 1562, 22829, 267, 3333, 22284, 4297, 0, 5228, 17511, 1104, 5903, 454, 5228, 11346, 1104, 1039, 454, 5035, 8827, 912, 825, 1219, 568, 12507, 582, 4577, 4311, 267, 589, 281, 5903, 27776, 8079, 9847, 536, 944, 912, 1038, 1395, 334, 19102, 2084, 18989, 454, 1038, 1395, 334, 5719, 920, 2084, 815, 6936, 454, 1038, 952, 12759, 10490, 264, 2525, 271, 2187, 2018, 2132, 8771, 454, 1038, 585, 1775, 538, 2039, 12759, 10490, 9984, 272, 2187, 2018, 952, 10490, 5157, 316, 285, 288, 5157, 266, 272, 316, 2187, 3546, 1395, 334, 19102, 2084, 25716, 692, 1038, 952, 263, 3000, 334, 19102, 2084, 2525, 16178, 2187, 2018, 585, 795, 538, 2039, 12759, 10490, 9984, 272, 2187, 3546, 952, 630, 288, 14728, 316, 2999, 589, 14728, 1341, 476, 272, 316, 2187, 7386, 1395, 334, 5719, 920, 2084, 25716, 454, 1038, 952, 263, 3000, 334, 5719, 920, 2084, 610, 1395, 334, 19102, 2084, 2652, 6936, 2187, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 692, 320, 284, 8827, 4590, 1551, 272, 815, 314, 272, 267, 274, 267, 273, 2639, 258, 314, 273, 267, 273, 267, 273, 267, 272, 267, 275, 267, 276, 6540, 2745, 5416, 18994, 12507, 582, 4577, 19906, 272, 4297, 0, 5035, 8827, 912, 825, 1219, 3568, 290, 19564, 4311, 267, 7470, 281, 5903, 314, 8266, 314, 1598, 316, 8079, 9847, 536, 944, 912, 1038, 1219, 3808, 27316, 2187, 2018, 2132, 476, 271, 10922, 6843, 314, 271, 316, 2999, 7003, 14116, 5090, 264, 543, 476, 271, 10922, 6843, 314, 272, 316, 2999, 7003, 14116, 5090, 314, 271, 7481, 13872, 1038, 1219, 546, 12028, 27316, 21726, 2187, 2018, 7575, 815, 27883, 271, 267, 272, 32140, 272, 267, 271, 1070, 8987, 272, 267, 271, 32140, 271, 16427, 272, 22708, 27030, 2018, 585, 1775, 538, 2039, 12759, 9852, 7174, 15892, 3546, 1847, 815, 7575, 5157, 2639, 3546, 1007, 815, 476, 6843, 314, 271, 316, 1341, 1847, 314, 271, 3910, 27161, 314, 272, 316, 1341, 1847, 314, 272, 2639, 4449, 454, 3546, 952, 711, 3808, 28956, 264, 610, 1007, 2652, 1535, 912, 7386, 3136, 692, 3546, 952, 1007, 538, 10272, 543, 7470, 19559, 1712, 314, 271, 316, 6012, 27161, 314, 272, 14963, 476, 2652, 7470, 314, 2908, 314, 271, 316, 6012, 2908, 314, 272, 316, 14158, 7386, 2132, 6936, 454, 3546, 3116, 912, 7386, 952, 7470, 19559, 1712, 314, 271, 316, 6012, 27161, 314, 272, 14963, 476, 2652, 7470, 314, 2908, 314, 271, 316, 6012, 2908, 314, 272, 316, 14158, 13376, 10272, 14491, 28956, 994, 13376, 1267, 815, 546, 12028, 28956, 267, 6843, 994, 13376, 952, 1267, 912, 23351, 2132, 6936, 2018, 454, 2018, 2132, 8771, 454, 4449, 13872, 4449, 454, 4449, 454, 27030, 1038, 10272, 815, 1305, 4590, 1038, 585, 1775, 538, 2039, 12759, 14116, 5090, 15892, 2018, 585, 795, 538, 2039, 12759, 14116, 5090, 5157, 8079, 2187, 3546, 952, 630, 328, 25814, 264, 711, 538, 10272, 912, 7386, 5169, 815, 630, 328, 25814, 994, 7386, 10272, 14491, 263, 10594, 514, 994, 7386, 1267, 815, 546, 12028, 9230, 328, 25814, 1070, 280, 994, 7386, 952, 1267, 912, 13376, 2132, 6936, 454, 1038, 2132, 8771, 454, 0, 5228, 17511, 1104, 5903, 692, 7531, 5035, 8827, 912, 825, 1219, 9337, 32317, 4311, 267, 4604, 281, 5903, 314, 8266, 314, 1598, 316, 3910, 4945, 281, 5903, 27776, 8079, 9847, 5903, 314, 8266, 314, 1598, 316, 14158, 1038, 1219, 30256, 9217, 267, 795, 2187, 2018, 585, 562, 328, 267, 562, 329, 538, 630, 328, 1341, 476, 272, 267, 795, 1070, 630, 328, 910, 476, 272, 267, 795, 1070, 630, 328, 267, 795, 1341, 476, 272, 1070, 630, 328, 267, 795, 910, 476, 272, 32140, 328, 268, 272, 267, 795, 910, 476, 272, 32140, 328, 266, 272, 267, 795, 1341, 476, 272, 32140, 328, 266, 272, 267, 795, 910, 476, 272, 32140, 328, 268, 272, 267, 795, 1341, 476, 272, 2187, 3546, 6556, 562, 328, 267, 562, 329, 692, 1038, 1219, 568, 1103, 289, 4650, 3287, 267, 586, 2187, 2018, 2132, 630, 271, 10922, 1535, 2999, 7003, 29033, 264, 543, 476, 271, 10922, 586, 2999, 7003, 29033, 314, 271, 28413, 1038, 1219, 546, 12028, 29033, 281, 5903, 314, 8266, 314, 1598, 316, 3910, 4945, 281, 5903, 27776, 8079, 9847, 5903, 314, 8266, 314, 1598, 316, 14158, 2018, 1775, 25814, 284, 28781, 314, 271, 3910, 4945, 314, 272, 2639, 2018, 952, 29033, 5157, 6012, 329, 316, 2525, 262, 300, 262, 543, 568, 1103, 289, 4650, 9217, 25814, 15892, 3546, 4604, 5157, 6012, 329, 316, 8782, 311, 7055, 3546, 2132, 4604, 454, 2018, 1948, 13765, 875, 1082, 631, 616, 972, 692, 2018, 1293, 815, 476, 271, 454, 2018, 585, 1535, 11971, 538, 30256, 9217, 25814, 2187, 3546, 952, 263, 529, 1103, 289, 4650, 3287, 11971, 264, 543, 4604, 20572, 6012, 344, 316, 2525, 262, 300, 262, 2187, 7386, 1293, 23785, 272, 454, 2018, 952, 6262, 870, 285, 271, 2187, 3546, 4604, 5157, 6012, 329, 24557, 1598, 6262, 870, 994, 3546, 2132, 4604, 454, 2018, 4604, 5157, 6012, 329, 316, 8782, 289, 7055, 2018, 1948, 11666, 826, 667, 12396, 454, 2018, 585, 1535, 11971, 538, 30256, 9217, 25814, 2187, 3546, 952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 1548, 568, 1826, 540, 1286, 729, 9141, 676, 12016, 3794, 611, 903, 2506, 28609, 538, 7046, 782, 25980, 454, 12585, 281, 28191, 514, 476, 277, 322, 342, 339, 0, 9223, 281, 7812, 12736, 1676, 11339, 513, 6241, 1572, 12736, 2996, 20550, 2996, 585, 799, 10732, 11356, 888, 12585, 281, 21099, 31914, 599, 2053, 0, 9223, 281, 769, 799, 476, 3422, 271, 338, 543, 476, 3583, 338, 7641, 1694, 1260, 1705, 20574, 8187, 324, 1404, 513, 1915, 1572, 1412, 26108, 344, 5548, 559, 1695, 262, 15017, 12585, 281, 519, 7452, 16535, 5443, 0, 9223, 281, 594, 729, 538, 513, 9490, 2749, 543, 594, 4769, 1405, 917, 519, 2749, 693, 782, 543, 1018, 568, 811, 267, 296, 1223, 711, 3717, 513, 2262, 540, 519, 1893, 269, 2991, 2348, 6170, 1250, 1101, 1554, 538, 519, 4884, 7266, 516, 267, 296, 4956, 547, 6336, 1250, 1259, 593, 1250, 2034, 1554, 267, 2094, 594, 5156, 602, 713, 729, 519, 14724, 1259, 540, 3478, 547, 917, 519, 9490, 2749, 269, 594, 3893, 593, 519, 1101, 1668, 602, 5293, 267, 887, 1372, 593, 621, 585, 1896, 13515, 1287, 3893, 621, 1055, 543, 15336, 593, 269, 634, 1101, 1079, 3108, 5293, 16990, 569, 2614, 269, 3973, 594, 4956, 547, 2490, 1394, 547, 1250, 15678, 585, 12899, 269, 2991, 6972, 827, 585, 930, 942, 267, 594, 4956, 594, 1185, 1732, 2307, 519, 1259, 269, 634, 8373, 729, 602, 519, 1152, 2262, 594, 6785, 540, 519, 1893, 729, 519, 2012, 540, 519, 8265, 538, 799, 594, 5030, 543, 1256, 1287, 594, 14733, 621, 21354, 269, 594, 11074, 547, 2307, 513, 7874, 23302, 11356, 5498, 28705, 269, 1261, 20493, 543, 19942, 803, 513, 1957, 269, 594, 695, 809, 1250, 2212, 543, 7368, 519, 2012, 540, 519, 8265, 543, 646, 2322, 519, 1957, 883, 1250, 3946, 269, 594, 1185, 547, 2285, 1864, 930, 2724, 543, 4682, 593, 1250, 1259, 269, 634, 1985, 1268, 594, 4280, 729, 513, 2384, 17507, 269, 634, 2384, 17507, 19557, 547, 803, 5402, 267, 20493, 543, 9900, 3576, 803, 676, 519, 6186, 269, 1703, 729, 513, 9490, 1413, 538, 1010, 4064, 607, 646, 11329, 2451, 543, 1318, 543, 2451, 1586, 269, 594, 9684, 539, 1864, 1135, 7019, 543, 3459, 6972, 538, 519, 4287, 646, 11329, 269, 6168, 606, 5662, 5293, 543, 594, 8068, 602, 519, 8075, 941, 3478, 7864, 543, 7864, 543, 3039, 4610, 941, 17729, 593, 2901, 2427, 540, 803, 269, 594, 1185, 2097, 782, 519, 1259, 883, 519, 24781, 269, 634, 1152, 3364, 2451, 585, 803, 547, 798, 729, 547, 1265, 519, 14282, 16749, 6728, 267, 634, 2384, 17507, 476, 9041, 476, 4586, 288, 269, 4769, 1405, 948, 1864, 454, 289, 269, 11329, 693, 1864, 454, 290, 269, 4769, 1405, 1174, 1018, 646, 2731, 5921, 454, 291, 269, 4769, 1405, 917, 519, 1259, 454, 12585, 281, 595, 0, 9223, 281, 769, 9226, 476, 274, 267, 799, 540, 519, 1739, 568, 6989, 6498, 888, 288, 269, 1315, 454, 289, 269, 12262, 454, 290, 269, 4939, 454, 291, 269, 11406, 12585, 281, 645, 0, 454, 304, 281, 7705, 267, 7585, 267, 1849, 18311, 267, 25272, 267, 18832, 267, 12049, 267, 543, 717, 1068, 337, 8775, 616, 2828, 543, 28048, 3988, 945, 12212, 4123, 2835, 269, 2311, 519, 1376, 540, 519, 19496, 267, 789, 1142, 4444, 835, 1007, 1433, 281, 7705, 4991, 634, 4279, 30056, 267, 7585, 4991, 700, 7035, 320, 267, 1849, 18311, 4991, 670, 895, 540, 519, 645, 2532, 969, 14792, 267, 25272, 4991, 22994, 344, 16299, 267, 18832, 4991, 772, 569, 1087, 525, 267, 12049, 4991, 29975, 267, 543, 717, 1068, 337, 8775, 4991, 634, 26665, 23050, 540, 519, 23580, 269, 8528, 2026, 519, 19496, 23131, 267, 789, 1376, 9467, 1472, 519, 1007, 2835, 269, 3689, 267, 717, 1068, 337, 8775, 543, 25272, 23396, 2835, 269, 3973, 267, 12049, 543, 18832, 23396, 2835, 269, 3973, 267, 717, 1068, 337, 8775, 543, 7585, 23396, 2835, 269, 3973, 267, 1849, 18311, 543, 7705, 23396, 2835, 269, 3973, 267, 18832, 543, 1849, 18311, 23396, 2835, 269, 3973, 267, 18832, 543, 7585, 23396, 2835, 269, 7053, 267, 7585, 543, 7705, 23396, 2835, 269, 2311, 519, 1439, 540, 519, 19496, 267, 18832, 814, 22322, 288, 281, 22994, 344, 16299, 269, 0, 2252, 596, 1246, 891, 5528, 267, 798, 596, 2132, 547, 519, 4358, 1448, 888, 9223, 281, 12414, 2451, 269, 6875, 476, 279, 3268, 269, 12414, 1318, 269, 12414, 1318, 269, 6875, 476, 279, 3268, 269, 12414, 1318, 563, 476, 932, 7860, 281, 3097, 288, 269, 6936, 454, 289, 269, 8771, 454, 12585, 281, 589, 0, 9223, 281, 12518, 946, 5567, 1336, 538, 3037, 269, 6904, 540, 891, 666, 2736, 1524, 538, 3037, 543, 1831, 5567, 2496, 288, 269, 2011, 454, 289, 269, 1216, 454, 290, 269, 3762, 454, 291, 269, 7943, 454, 12585, 281, 3762, 0, 9223, 281, 31722, 6499, 547, 4196, 20544, 15483, 18571, 607, 606, 12608, 6500, 269, 476, 1261, 4566, 593, 476, 276, 20544, 829, 16823, 543, 786, 723, 476, 2412, 14538, 269, 476, 1403, 519, 20544, 3790, 1269, 1704, 269, 876, 829, 11013, 543, 1142, 11013, 814, 476, 736, 20544, 267, 875, 1454, 786, 646, 6108, 593, 519, 12608, 6500, 888, 12585, 281, 1261, 6499, 547, 4196, 476, 276, 20544, 829, 16823, 543, 786, 723, 476, 2412, 14538, 865, 646, 2115, 476, 276, 265, 2412, 815, 24177, 276, 265, 2412, 284, 1220, 9563, 1220, 20544, 3962, 11013, 540, 20544, 814, 476, 736, 20544, 543, 646, 2115, 476, 1220, 20544, 865, 646, 2115, 476, 1220, 270, 736, 815, 24177, 1220, 270, 736, 284, 1015, 9563, 1015, 6550, 540, 20544, 634, 20544, 568, 1269, 1704, 269, 876, 829, 11013, 543, 646, 2115, 476, 1015, 6550, 865, 646, 786, 6108, 476, 1704, 265, 1015, 815, 1269, 28843, 1704, 265, 1015, 284, 10204, 269, 876, 9563, 10204, 269, 876, 593, 20544, 634, 2626, 568, 476, 10204, 269, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 627, 8636, 1782, 4154, 20085, 10538, 25064, 4816, 834, 536, 834, 25064, 20085, 10538, 4154, 627, 8636, 1782, 4816, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5245, 888, 763, 5607, 3148, 11851, 338, 11999, 3310, 11451, 543, 538, 5245, 269, 2560, 769, 476, 1001, 275, 267, 476, 1556, 540, 5245, 779, 1283, 476, 1428, 13143, 6990, 630, 16591, 338, 543, 2533, 264, 941, 538, 519, 5607, 3148, 267, 1818, 909, 5176, 476, 10170, 829, 1298, 540, 782, 18666, 269, 1306, 1134, 267, 5111, 476, 6812, 829, 1298, 540, 5245, 779, 1079, 17574, 4123, 7018, 609, 2477, 540, 519, 5607, 3148, 563, 3963, 1281, 5245, 4123, 609, 3624, 888, 19770, 568, 5245, 779, 7887, 9467, 7649, 5631, 1813, 547, 3624, 779, 2178, 3747, 585, 4401, 7626, 267, 5755, 543, 4508, 1030, 1221, 2067, 3154, 269, 2560, 3509, 2101, 8241, 5599, 3549, 7048, 8185, 593, 3624, 543, 824, 3395, 2462, 11615, 971, 607, 3127, 585, 18666, 563, 3963, 1281, 5245, 4123, 609, 824, 2477, 888, 17220, 4123, 543, 5092, 568, 2565, 547, 519, 8241, 4346, 267, 3246, 6009, 543, 13884, 269, 4139, 4123, 543, 5092, 10741, 909, 3255, 585, 26880, 547, 4228, 741, 4213, 269, 2560, 901, 2640, 8241, 6800, 998, 1569, 547, 606, 2799, 2039, 540, 1732, 17032, 5370, 543, 2533, 563, 1432, 1281, 5245, 13143, 547, 5607, 888, 1432, 1281, 5245, 13143, 286, 968, 305, 4169, 543, 7031, 5608, 607, 3933, 1662, 2160, 4123, 4274, 16902, 990, 28839, 632, 700, 2884, 334, 9034, 2213, 621, 547, 590, 7034, 5240, 269, 2334, 1797, 6886, 1519, 4401, 7626, 267, 5755, 267, 4154, 543, 2067, 3154, 267, 607, 1134, 607, 6694, 2472, 1519, 14132, 267, 15144, 267, 10412, 267, 7105, 701, 553, 267, 21378, 2812, 267, 4006, 543, 9174, 563, 9989, 5245, 1293, 607, 5607, 888, 288, 20624, 543, 1715, 10215, 616, 851, 540, 519, 7909, 807, 11782, 267, 543, 616, 593, 5094, 29684, 10824, 547, 5607, 269, 2334, 779, 1946, 950, 1004, 2911, 827, 519, 1079, 2477, 267, 789, 949, 711, 1589, 540, 873, 607, 1373, 851, 540, 5607, 269, 1809, 789, 616, 606, 7533, 851, 540, 519, 5607, 6261, 6680, 3148, 267, 849, 1634, 607, 7442, 659, 563, 9989, 5245, 4123, 609, 5607, 888, 9213, 519, 8561, 540, 5245, 779, 4123, 814, 17146, 547, 5607, 267, 609, 2185, 856, 540, 2947, 540, 5245, 779, 1283, 9467, 4891, 4092, 972, 269, 3624, 267, 3567, 267, 519, 2136, 2276, 543, 519, 6243, 540, 9705, 616, 1631, 5245, 779, 4102, 9467, 4891, 563, 9989, 5245, 7048, 593, 3624, 888, 288, 20624, 12346, 8185, 593, 4914, 5092, 269, 3624, 16034, 1152, 27630, 607, 606, 20090, 538, 5245, 267, 609, 513, 476, 274, 260, 2671, 540, 2698, 4914, 1463, 5092, 269, 2334, 5092, 814, 6738, 6385, 538, 519, 2250, 1906, 1296, 267, 855, 3624, 779, 4914, 5092, 568, 2693, 547, 2887, 607, 922, 9806, 2557, 8813, 563, 9989, 5245, 2285, 3624, 22707, 888, 288, 20624, 814, 7361, 943, 1078, 856, 24845, 5351, 547, 3624, 269, 769, 6284, 540, 3624, 779, 3395, 1909, 607, 606, 5351, 20033, 267, 5245, 543, 3624, 9896, 513, 6490, 528, 663, 636, 540, 4197, 630, 27770, 308, 264, 593, 1646, 9316, 538, 476, 1001, 274, 267, 799, 729, 17105, 538, 476, 1001, 278, 563, 1432, 568, 5245, 779, 7887, 13143, 547, 3624, 888, 27860, 7626, 267, 3154, 543, 5755, 1118, 909, 519, 13557, 540, 8241, 18666, 547, 3624, 630, 3467, 982, 589, 11070, 476, 8064, 5479, 1070, 855, 8241, 3028, 6080, 1107, 3366, 676, 2069, 543, 9235, 1107, 616, 513, 3395, 851, 540, 519, 4123, 2078, 563, 7617, 2197, 1281, 5245, 4123, 609, 519, 1034, 888, 763, 4102, 9467, 4891, 454, 9989, 5245, 1104, 1426, 689, 3624, 888, 1103, 476, 1001, 279, 267, 519, 1283, 7649, 2477, 689, 799, 5245, 7383, 338, 5253, 15733, 1331, 1715, 10215, 267, 2136, 2276, 267, 17289, 267, 3624, 543, 5333, 563, 1432, 568, 5245, 779, 1283, 1104, 888, 288, 20624, 779, 5440, 14210, 7383, 338, 454, 268, 1948, 272, 7557, 10320, 630, 288, 11070, 259, 5379, 269, 273, 5479, 264, 6693, 268, 1948, 273, 25115, 10173, 630, 288, 11070, 259, 6246, 269, 280, 5479, 264, 6693, 268, 1948, 274, 30863, 630, 288, 11070, 259, 6246, 269, 277, 5479, 264, 6693, 268, 1948, 275, 15379, 12227, 543, 3937, 630, 288, 11070, 259, 4391, 269, 272, 5479, 264, 6693, 268, 1948, 276, 6481, 270, 23855, 673, 3937, 630, 288, 11070, 259, 1321, 5479, 264, 6693, 268, 1948, 277, 14997, 11914, 338, 630, 288, 11070, 259, 1556, 269, 279, 5479, 264, 6693, 268, 1948, 278, 717, 2114, 543, 10475, 8407, 630, 288, 11070, 259, 280, 269, 276, 5479, 994, 1724, 476, 9326, 4709, 8563, 269, 476, 1708, 271, 28314, 563, 9989, 5245, 1104, 610, 13143, 811, 547, 3624, 888, 288, 20624, 568, 835, 540, 519, 1906, 2919, 6082, 593, 3047, 602, 18666, 811, 883, 3624, 982, 621, 20558, 689, 3624, 269, 769, 519, 476, 1001, 279, 268, 1001, 280, 16642, 1032, 267, 3624, 3576, 538, 827, 476, 3953, 269, 277, 260, 540, 782, 8241, 18666, 2443, 602, 568, 827, 476, 14631, 269, 273, 5479, 8241, 9489, 18121, 14138, 269, 8064, 5479, 1040, 1635, 2484, 519, 4102, 13143, 729, 4401, 7626, 563, 1432, 1281, 3567, 13143, 547, 5245, 888, 297, 3253, 729, 5245, 779, 4102, 25584, 13143, 2344, 585, 1883, 21113, 1519, 5755, 267, 700, 7582, 267, 14132, 543, 26459, 563, 8005, 1281, 5245, 13143, 547, 888, 3682, 12803, 540, 5245, 779, 4123, 454, 288, 20624, 779, 1283, 2947, 9467, 4891, 941, 3624, 267, 3567, 267, 519, 2136, 2276, 267, 519, 6243, 540, 9705, 543, 3127, 269, 0, 20181, 21307, 8510, 3433, 11326, 6615, 19346, 4616, 3448, 547, 519, 3328, 2732, 269, 16639, 1164, 538, 11950, 552, 269, 1703, 568, 513, 3668, 540, 32301, 540, 875, 1454, 19346, 1970, 21307, 8510, 3433, 11326, 1590, 723, 267, 543, 713, 814, 7294, 1382, 269, 1703, 568, 1100, 1434, 2963, 602, 1970, 21307, 8510, 3433, 2732, 532, 1476, 619, 1022, 1880, 1072, 2640, 6306, 689, 2597, 2530, 267, 1141, 1970, 21307, 8510, 3433, 11326, 3035, 4093, 2147, 547, 824, 11326, 267, 607, 2597, 2530, 568, 5631, 5462, 676, 17811, 19231, 543, 15984, 269, 1323, 3665, 1106, 540, 1970, 21307, 8510, 3433, 2732, 2443, 519, 29145, 2732, 2443, 729, 1101, 3964, 607, 513, 2564, 2732, 585, 8156, 20560, 269, 634, 5672, 1258, 22021, 12753, 540, 1970, 21307, 8510, 3433, 11326, 616, 711, 13387, 269, 1703, 568, 2963, 602, 519, 2298, 267, 2864, 982, 519, 7274, 267, 540, 19346, 538, 513, 2732, 568, 1271, 585, 1072, 267, 543, 602, 1164, 1922, 9200, 3500, 1673, 580, 20535, 19346, 11656, 3536, 616, 1072, 995, 1247, 3810, 15568, 543, 24494, 3536, 616, 1447, 865, 269, 4107, 5388, 616, 1970, 268, 610, 9793, 21307, 8510, 3433, 3536, 538, 930, 1970, 21307, 8510, 3433, 11326, 267, 6775, 568, 16934, 1317, 621, 568, 711, 513, 4333, 633, 19346, 269, 2368, 5388, 267, 971, 607, 12277, 267, 17436, 267, 22959, 8970, 543, 7573, 616, 1164, 538, 20566, 269, 4107, 1970, 21307, 8510, 3433, 2732, 4566, 13918, 5388, 971, 607, 22282, 267, 22156, 267, 25989, 267, 23858, 267, 31480, 267, 28471, 31884, 267, 18717, 543, 1034, 3039, 6122, 2378, 344, 5388, 269, 2961, 8510, 3433, 814, 1044, 4636, 569, 15034, 540, 1373, 513, 19918, 968, 325, 520, 1084, 532, 892, 5672, 1258, 22021, 267, 22801, 1082, 2732, 619, 883, 18731, 519, 14312, 1145, 540, 741, 2732, 676, 14874, 19346, 11656, 1426, 563, 7804, 1074, 1216, 610, 5667, 11548, 2989, 476, 5367, 7401, 269, 589, 1970, 21307, 8510, 3433, 267, 29145, 2732, 547, 1521, 1826, 476, 273, 3987, 269, 15706, 609, 3987, 945, 1582, 5498, 937, 547, 1246, 1970, 21307, 8510, 3433, 2732, 949, 3035, 513, 8101, 2597, 2530, 267, 855, 3476, 3856, 2090, 2303, 602, 2857, 2056, 1970, 21307, 8510, 3433, 11326, 547, 782, 14968, 2043, 609, 3987, 1281, 711, 6556, 1022, 3152, 2597, 2530, 4324, 982, 824, 8192, 2994, 563, 5472, 1970, 2275, 16808, 2736, 325, 6814, 269, 634, 1426, 2872, 814, 9168, 519, 19862, 540, 3536, 547, 2569, 519, 19346, 1543, 269, 8281, 634, 2561, 269, 1548, 568, 519, 2243, 286, 1809, 1354, 621, 1223, 581, 7318, 4628, 267, 1004, 3323, 840, 3319, 1947, 19101, 602, 1970, 16087, 11326, 8385, 2311, 9469, 267, 811, 5063, 27520, 941, 1655, 585, 2597, 2530, 267, 543, 7378, 14242, 729, 519, 2601, 585, 2597, 2744, 543, 8377, 269, 3171, 514, 2006, 28251, 269, 634, 1382, 2115, 547, 1331, 3601, 540, 971, 513, 18829, 799, 5540, 8937, 9449, 21131, 543, 741, 2647, 1606, 7331, 10894, 2360, 269, 4014, 11786, 1759, 593, 3621, 8847, 267, 1082, 1265, 4006, 547, 723, 22925, 3601, 269, 2817, 9142, 540, 6925, 269, 1403, 596, 798, 2119, 27520, 267, 3314, 547, 1832, 621, 8937, 268, 11794, 676, 1519, 2635, 3170, 2959, 267, 25496, 3536, 267, 543, 7899, 540, 6775, 267, 543, 9319, 3810, 9268, 267, 605, 514, 11987, 3536, 269, 18320, 1906, 19719, 267, 543, 596, 949, 1265, 3054, 4743, 22376, 1375, 880, 782, 1554, 267, 607, 19719, 1683, 2656, 19840, 532, 1648, 563, 20181, 2275, 16808, 3536, 1592, 269, 4437, 15701, 808, 269, 8158, 476, 277, 5988, 8158, 476, 2641, 5412, 8899, 2275, 16808, 3536, 1331, 5779, 267, 3165, 267, 5798, 267, 5388, 543, 2067, 9600, 267, 899, 7423, 269, 12367, 538, 8770, 6981, 1851, 4079, 609, 3987, 538, 519, 2136, 2276, 281, 8158, 476, 866, 4989, 0, 306, 601, 22431, 26386, 11137, 454, 1432, 568, 17286, 22431, 26386, 888, 306, 601, 22431, 568, 4152, 5943, 585, 1357, 3156, 898, 568, 513, 1449, 1604, 269, 898, 568, 849, 513, 851, 540, 12229, 15213, 20271, 3599, 267, 8081, 539, 676, 9786, 8837, 21952, 7010, 269, 17286, 22431, 2488, 513, 1404, 3724, 1907, 585, 1313, 327, 1681, 6198, 4255, 1510, 519, 991, 547, 1451, 513, 1449, 7097, 532, 1893, 630, 306, 601, 22431, 9517, 292, 1040, 898, 849, 2488, 513, 1449, 6389, 10391, 1893, 630, 306, 601, 523, 3150, 264, 547, 2328, 4255, 538, 513, 1297, 540, 2442, 5752, 4654, 267, 1519, 595, 258, 267, 23108, 990, 344, 267, 10084, 267, 3131, 331, 267, 23285, 267, 5124, 267, 25007, 543, 2480, 8403, 269, 634, 4255, 666, 1287, 2196, 1996, 1034, 2413, 1357, 26292, 269, 17286, 22431, 8255, 593, 8837, 267, 12380, 267, 543, 5672, 5308, 269, 898, 568, 1930, 21299, 3301, 5950, 896, 519, 28833, 17821, 476, 273, 269, 271, 563, 268, 4985, 547, 17286, 22431, 476, 274, 454, 268, 2422, 519, 589, 2388, 16286, 454, 268, 634, 31093, 9920, 1362, 454, 268, 17286, 22431, 2985, 1843, 2203, 454, 268, 6258, 4530, 7582, 5943, 454, 268, 634, 32227, 7014, 454, 17345, 21145, 281, 16353, 4886, 454, 25898, 596, 899, 547, 1451, 17286, 22431, 26386, 888, 8245, 2952, 267, 4945, 519, 834, 9349, 257, 7735, 540, 17286, 22431, 26386, 543, 8399, 547, 519, 8569, 1505, 269, 9373, 707, 5551, 8430, 540, 2866, 269, 1411, 786, 4309, 606, 4757, 21533, 585, 17286, 22431, 26386, 543, 513, 11347, 1315, 26519, 786, 1205, 538, 5905, 609, 596, 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 ]
[ 6877, 281, 8841, 18648, 267, 12254, 631, 1794, 528, 267, 3057, 857, 534, 661, 269, 630, 307, 539, 264, 32129, 267, 1530, 2096, 712, 595, 2001, 454, 302, 6877, 281, 589, 264, 1977, 853, 762, 8943, 585, 4139, 3955, 4219, 454, 289, 264, 1977, 9208, 8865, 585, 2382, 6627, 3955, 4219, 454, 290, 264, 1977, 9208, 8943, 585, 6176, 3955, 4219, 454, 291, 264, 1977, 9208, 8943, 585, 3955, 4219, 6176, 454, 763, 2698, 3692, 1438, 2746, 766, 540, 513, 6252, 19218, 5547, 568, 912, 302, 6877, 281, 3160, 547, 519, 2040, 540, 519, 1367, 3692, 1438, 3146, 716, 766, 2418, 267, 3160, 547, 519, 2040, 540, 519, 1367, 31887, 2418, 267, 3160, 547, 519, 2707, 6453, 5258, 676, 2698, 1699, 267, 1447, 982, 519, 31887, 1871, 540, 519, 10545, 19218, 454, 7617, 540, 519, 1739, 616, 2189, 4162, 540, 3368, 268, 706, 14658, 25494, 950, 3379, 547, 2407, 268, 706, 14658, 25494, 286, 21009, 268, 706, 14658, 25494, 13333, 538, 513, 3838, 16580, 6389, 269, 21009, 268, 706, 14658, 25494, 13333, 538, 513, 4357, 16580, 6389, 269, 21009, 268, 706, 14658, 25494, 814, 2362, 2500, 998, 1584, 269, 21009, 268, 706, 14658, 25494, 814, 2539, 2500, 998, 1584, 563, 269, 1548, 4523, 950, 513, 3593, 2824, 338, 513, 2594, 538, 513, 1106, 543, 2046, 525, 1496, 5719, 8541, 316, 888, 302, 6877, 281, 513, 269, 634, 2594, 568, 25216, 538, 519, 1106, 543, 689, 922, 2707, 3349, 563, 321, 269, 634, 2594, 568, 25216, 538, 519, 1106, 267, 855, 711, 689, 922, 2707, 3349, 563, 322, 269, 634, 2594, 568, 9444, 25216, 538, 519, 1106, 267, 6862, 689, 922, 2707, 3349, 563, 323, 269, 634, 2594, 568, 711, 25216, 538, 519, 1106, 267, 855, 568, 25216, 689, 922, 2707, 3349, 563, 302, 6877, 281, 634, 10545, 9325, 540, 513, 6219, 602, 25601, 519, 3601, 540, 602, 6219, 267, 589, 11046, 602, 814, 513, 17732, 540, 9211, 538, 922, 9018, 10739, 267, 589, 11046, 602, 814, 606, 7050, 1297, 540, 9211, 538, 922, 9018, 10739, 267, 589, 11046, 602, 8928, 8164, 972, 568, 606, 19261, 540, 5122, 10997, 1063, 1079, 2798, 0, 1432, 1772, 13192, 5303, 454, 30208, 17270, 568, 513, 9877, 540, 11370, 3960, 6478, 269, 634, 4640, 568, 4330, 676, 621, 267, 8668, 1102, 2858, 23461, 602, 941, 7493, 539, 29858, 9862, 547, 1683, 269, 14044, 1436, 543, 713, 2029, 3340, 547, 581, 9862, 547, 2709, 13597, 543, 519, 4066, 267, 25382, 543, 4287, 269, 13192, 7384, 779, 4720, 568, 4867, 3356, 532, 3533, 269, 634, 20305, 543, 519, 6796, 7426, 1058, 1491, 4063, 713, 2029, 267, 2523, 946, 814, 15110, 1981, 540, 21041, 2042, 269, 8616, 267, 17721, 13192, 543, 28628, 1281, 723, 4220, 269, 898, 1281, 711, 14275, 5809, 519, 8458, 540, 1942, 5786, 269, 901, 1826, 540, 25949, 827, 1022, 4702, 14340, 3668, 540, 6044, 269, 1809, 267, 676, 5883, 519, 16426, 476, 277, 267, 519, 4220, 666, 581, 4389, 563, 2080, 779, 519, 4644, 1141, 519, 6531, 7384, 14273, 723, 513, 5539, 547, 1217, 741, 7218, 827, 519, 3354, 3800, 602, 616, 3617, 269, 634, 14724, 1259, 547, 4766, 519, 1523, 540, 519, 1880, 2029, 786, 581, 602, 6531, 7384, 568, 1018, 16764, 814, 1044, 1210, 519, 1357, 476, 273, 269, 271, 269, 2904, 581, 3989, 607, 6531, 7384, 568, 707, 31007, 547, 3490, 3301, 18799, 3435, 269, 13192, 568, 3989, 607, 519, 9872, 540, 513, 3060, 1759, 593, 606, 1344, 8998, 610, 713, 1880, 2029, 3246, 3435, 585, 513, 1297, 540, 3755, 269, 3487, 21871, 267, 519, 5691, 1242, 3301, 593, 4357, 6531, 616, 13950, 2047, 676, 519, 2754, 610, 7535, 539, 269, 1280, 519, 5561, 540, 1857, 6531, 2533, 267, 707, 5817, 5989, 4249, 513, 5634, 1909, 269, 901, 2203, 568, 9277, 547, 3142, 707, 5383, 540, 713, 2029, 281, 2539, 3790, 540, 3498, 5691, 1436, 538, 2680, 540, 513, 3838, 5989, 267, 1510, 707, 19363, 269, 0, 763, 12142, 12672, 1841, 616, 10646, 762, 676, 741, 7372, 7406, 543, 9543, 1629, 6756, 712, 269, 1452, 18230, 25165, 941, 8385, 26870, 547, 2149, 543, 15063, 7823, 6172, 1499, 269, 4653, 267, 519, 9649, 5243, 616, 4749, 7550, 676, 3885, 607, 15962, 2777, 10130, 454, 8489, 594, 6415, 3245, 454, 763, 8129, 540, 519, 12142, 24527, 666, 581, 14360, 1394, 607, 2038, 607, 519, 476, 1015, 628, 2540, 547, 519, 10239, 540, 16848, 269, 7111, 547, 519, 3864, 32595, 267, 891, 7372, 5243, 941, 2111, 547, 16641, 519, 18894, 15130, 4411, 540, 519, 3148, 563, 19853, 2012, 2501, 689, 519, 9869, 823, 12142, 24527, 1141, 789, 941, 1031, 607, 4585, 995, 22651, 269, 1452, 3532, 16921, 723, 849, 1044, 1031, 607, 15063, 5243, 267, 1419, 9494, 519, 2729, 540, 4503, 610, 13676, 1004, 538, 519, 6777, 563, 5938, 4461, 538, 2477, 1472, 519, 1158, 616, 1869, 1210, 12142, 12672, 1841, 538, 3406, 543, 15063, 13485, 269, 1358, 723, 849, 1831, 513, 2442, 3903, 585, 3885, 267, 538, 851, 7064, 547, 519, 2442, 2048, 6826, 29348, 685, 9413, 563, 1432, 594, 6733, 6145, 454, 763, 9742, 568, 27537, 676, 741, 7372, 14604, 543, 25412, 588, 1155, 269, 1452, 616, 9543, 23766, 602, 616, 10169, 23387, 540, 741, 1378, 4222, 543, 596, 1058, 2141, 1832, 606, 3750, 593, 873, 1472, 1762, 1453, 267, 607, 789, 666, 3362, 22545, 873, 936, 563, 289, 1716, 1841, 666, 2901, 581, 2110, 610, 1279, 3620, 8529, 269, 17268, 609, 2110, 25151, 786, 723, 5347, 4552, 267, 1247, 519, 3283, 609, 3476, 9663, 786, 723, 6329, 602, 13793, 30780, 563, 4322, 23836, 7068, 2097, 538, 1082, 18707, 540, 2699, 267, 543, 723, 11599, 3109, 16287, 1472, 741, 4064, 543, 562, 4680, 269, 12672, 1841, 849, 723, 3043, 12258, 10696, 6810, 538, 1114, 851, 540, 741, 4703, 267, 1519, 741, 9221, 267, 27897, 543, 3068, 563, 1692, 594, 2920, 454, 5278, 1004, 1522, 1831, 19225, 2989, 676, 741, 10373, 2450, 267, 855, 538, 5168, 267, 12672, 1841, 616, 930, 540, 519, 2186, 652, 7068, 596, 786, 2479, 7237, 269, 1452, 16921, 723, 1434, 5991, 25733, 543, 17159, 14789, 267, 543, 616, 711, 1634, 547, 581, 10728, 563, 5445, 616, 9602, 15274, 945, 2648, 741, 1920, 543, 7985, 689, 4160, 952, 789, 616, 2451, 4805, 585, 1279, 5712, 540, 942, 269, 12672, 1841, 616, 849, 1390, 609, 1453, 607, 789, 616, 3461, 543, 15962, 563, 4913, 267, 568, 596, 616, 7683, 7255, 827, 27194, 513, 12142, 24527, 1522, 711, 581, 519, 1318, 2915, 585, 596, 269, 1452, 616, 30255, 7068, 602, 1793, 984, 828, 10876, 563, 19185, 2991, 2725, 454, 10303, 741, 10053, 25151, 616, 1500, 547, 2149, 873, 689, 3665, 24475, 267, 12142, 12672, 1841, 723, 513, 12402, 547, 7985, 689, 3002, 25874, 269, 898, 568, 4061, 1271, 938, 10130, 723, 1569, 547, 7899, 540, 6704, 1216, 543, 12094, 563, 289, 1716, 1841, 2154, 9793, 2179, 540, 3635, 267, 543, 616, 1634, 547, 12483, 3533, 1282, 2168, 2534, 563, 32086, 707, 12142, 24527, 1058, 581, 513, 5266, 2653, 4305, 269, 1452, 9350, 5243, 4431, 1134, 547, 9639, 543, 17192, 267, 543, 621, 568, 1271, 602, 596, 2141, 1521, 873, 609, 11587, 563, 4002, 513, 8909, 4063, 267, 12672, 1841, 616, 12155, 547, 1082, 1072, 2152, 267, 1519, 2295, 2068, 269, 6145, 824, 9649, 5243, 267, 789, 4043, 547, 723, 2110, 12468, 335, 753, 982, 824, 14981, 563, 8649, 594, 519, 4620, 585, 596, 888, 268, 9877, 543, 9543, 10130, 454, 268, 3657, 15962, 543, 3461, 15274, 547, 4587, 1453, 454, 268, 1358, 1810, 1406, 2154, 3573, 3635, 267, 799, 2306, 873, 513, 1434, 3514, 585, 811, 12809, 5411, 454, 268, 12142, 12672, 1841, 616, 7199, 547, 6718, 543, 2226, 454, 268, 2052, 581, 30255, 10130, 607, 789, 3622, 5323, 565, 811, 982, 824, 5243, 454, 268, 2398, 821, 547, 1082, 5906, 3676, 267, 543, 723, 593, 3328, 10156, 2729, 982, 824, 10130, 454, 294, 5050, 590, 1013, 879, 10045, 28582, 1042, 547, 538, 5125, 607, 968, 305, 625, 839, 1013, 879, 10045, 892, 2495, 968, 1492, 9649, 5608, 713, 11999, 521, 1013, 879, 10045, 729, 2899, 3351, 2213, 607, 513, 12418, 9920, 543, 2489, 4585, 27594, 585, 15327, 543, 6006, 29288, 20136, 590, 1013, 879, 10045, 19500, 607, 513, 28034, 2915, 1282, 1312, 519, 2622, 12668, 267, 2705, 538, 2413, 2053, 267, 789, 616, 7361, 3351, 2213, 607, 7128, 5243, 1813, 547, 741, 1164, 1377, 540, 24150, 563, 310, 2969, 6224, 281, 20607, 328, 966, 564, 17897, 476, 272, 9210, 28964, 476, 273, 538, 513, 5929, 12558, 267, 3220, 269, 23436, 932, 1307, 814, 547, 4308, 609, 513, 1612, 26087, 539, 6341, 1195, 539, 2483, 15507, 585, 519, 1715, 20607, 328, 966, 564, 9612, 7201, 3118, 1280, 1715, 20607, 328, 966, 564, 589, 3084, 3406, 814, 1044, 9250, 547, 1265, 5245, 779, 1985, 7641, 17022, 269, 7641, 2504, 2754, 654, 307, 293, 301, 30007, 267, 519, 15888, 540, 20607, 328, 966, 564, 543, 634, 12389, 18740, 267, 814, 1572, 585, 519, 1857, 779, 948, 547, 1265, 519, 1985, 5182, 540, 20607, 328, 966, 564, 269, 654, 307, 293, 301, 779, 10615, 540, 12474, 267, 19378, 744, 655, 322, 651, 267, 1767, 519, 2754, 568, 3168, 585, 606, 4810, 1654, 2483, 25603, 938, 570, 8008, 476, 2004, 966, 292, 4811, 15937, 476, 2004, 7000, 538, 3406, 585, 5245, 781, 1007, 7641, 17022, 5182, 256, 634, 3803, 476, 2004, 10457, 723, 1044, 9307, 538, 519, 4182, 17253, 3406, 547, 796, 24160, 519, 1715, 20607, 328, 966, 564, 269, 634, 1592, 267, 799, 814, 1044, 7522, 539, 1524, 689, 476, 6110, 1367, 1654, 1206, 543, 936, 476, 278, 267, 4335, 9930, 5209, 267, 3568, 519, 4102, 2179, 4947, 689, 1715, 3162, 12986, 609, 476, 1626, 1654, 1206, 4553, 5702, 676, 24368, 609, 476, 1691, 267, 1287, 4639, 2483, 312, 16518, 621, 1131, 3100, 938, 29534, 838, 6308, 476, 1556, 1032, 2025, 5256, 945, 568, 4998, 2597, 269, 590, 2775, 569, 896, 952, 4376, 5526, 547, 723, 12263, 4323, 1864, 607, 513, 4028, 12614, 267, 8259, 646, 814, 1185, 513, 588, 18443, 9045, 3781, 649, 616, 23387, 540, 267, 646, 4667, 547, 581, 9808, 559, 855, 10607, 607, 1554, 4422, 593, 263, 8705, 916, 909, 264, 646, 530, 11069, 619, 952, 649, 2119, 543, 5905, 543, 1835, 625, 950, 646, 4991, 909, 610, 1524, 513, 1900, 267, 646, 1869, 6499, 547, 1246, 803, 1472, 543, 530, 2632, 1964, 454, 273, 4374, 3516, 15029, 649, 941, 538, 674, 25702, 649, 11324, 4240, 606, 14460, 21937, 602, 649, 7447, 568, 827, 476, 274, 3275, 2025, 269, 2701, 729, 5182, 1324, 267, 2083, 20321, 267, 4988, 538, 24217, 543, 1223, 18923, 1796, 610, 3802, 269, 1284, 10480, 1200, 267, 18233, 1200, 267, 6569, 782, 24217, 543, 1175, 5795, 1200, 2648, 269, 1284, 1572, 1200, 2776, 16379, 601, 607, 1352, 729, 865, 2960, 5500, 950, 649, 1336, 1200, 602, 782, 1200, 7633, 941, 23578, 856, 543, 1200, 12048, 7633, 6743, 899, 513, 2462, 27390, 5910, 29992, 543, 1200, 1279, 2960, 5500, 7953, 6743, 899, 2776, 16379, 601, 16853, 269, 3776, 9837, 729, 547, 1265, 1200, 513, 1753, 538, 674, 25702, 855, 1310, 513, 3018, 610, 865, 1352, 1185, 6591, 2597, 267, 855, 649, 8068, 602, 1200, 2451, 12048, 5642, 729, 1869, 31732, 24851, 543, 602, 950, 1352, 15336, 649, 8068, 602, 1200, 2451, 1394, 3723, 5828, 856, 5594, 269, 4746, 267, 950, 1352, 10443, 1352, 1131, 946, 1312, 1394, 7953, 1927, 543, 5577, 899, 513, 536, 22324, 269, 1284, 3576, 1200, 547, 606, 3662, 12062, 538, 674, 25702, 1572, 12292, 674, 25702, 543, 789, 8947, 1200, 543, 15695, 602, 789, 2219, 621, 1522, 581, 20247, 11343, 269, 1358, 2473, 11920, 539, 1200, 543, 1287, 6822, 730, 1200, 547, 2119, 543, 13861, 519, 5642, 1394, 883, 519, 23094, 269, 901, 729, 28336, 269, 634, 17022, 15695, 602, 621, 7902, 602, 519, 1439, 540, 519, 5642, 1141, 519, 3440, 1058, 581, 5180, 729, 4731, 11526, 2901, 689, 513, 8194, 30032, 329, 1722, 950, 1762, 610, 676, 4332, 269, 1261, 15695, 602, 646, 1281, 711, 723, 519, 3937, 538, 674, 25702, 547, 1521, 1200, 5265, 543, 602, 1352, 1131, 991, 6391, 547, 2953, 519, 5642, 543, 547, 9395, 523, 519, 28587, 547, 1200, 1489, 1200, 1850, 269, 1284, 616, 13143, 532, 1200, 547, 5245, 593, 519, 476, 278, 628, 540, 4728, 543, 616, 3843, 547, 6318, 930, 7482, 547, 4217, 721, 269, 1284, 616, 15691, 602, 596, 666, 6351, 547, 1265, 513, 966, 564, 538, 24332, 602, 1223, 4217, 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 ]
[ 7907, 269, 1261, 11339, 267, 968, 1492, 22556, 543, 30993, 540, 519, 4829, 23131, 689, 519, 15116, 3037, 543, 1163, 3789, 538, 799, 789, 1332, 1848, 10925, 3274, 267, 2367, 6508, 741, 27828, 689, 741, 1604, 1175, 607, 789, 1705, 998, 741, 4074, 543, 2244, 9562, 563, 288, 812, 779, 2702, 547, 1683, 7449, 14571, 585, 1010, 1920, 2417, 13747, 1977, 27828, 689, 3864, 3631, 267, 2687, 547, 519, 2278, 269, 1546, 9197, 11726, 11355, 385, 497, 584, 267, 1247, 711, 4947, 689, 606, 791, 1478, 1639, 4282, 5128, 267, 6941, 602, 519, 3703, 3345, 1977, 2551, 5161, 7361, 540, 11082, 610, 741, 18939, 945, 1185, 26218, 2804, 6617, 538, 2342, 269, 1306, 513, 1267, 267, 789, 22002, 2804, 7115, 538, 1585, 10125, 1141, 2244, 543, 3152, 2123, 13190, 729, 513, 7872, 269, 14066, 6329, 540, 3864, 11082, 3460, 539, 547, 519, 968, 13563, 28357, 2223, 799, 20888, 968, 1492, 4057, 540, 2342, 892, 547, 851, 820, 538, 585, 3101, 513, 1007, 5198, 540, 1004, 269, 769, 1010, 3791, 4484, 267, 632, 9197, 11726, 11355, 385, 497, 584, 1045, 10280, 513, 5824, 605, 14620, 267, 772, 6798, 3443, 529, 16481, 328, 1273, 6319, 267, 610, 267, 968, 8489, 972, 568, 3694, 267, 972, 568, 1250, 2197, 2223, 25967, 1681, 519, 2956, 540, 26539, 835, 779, 4074, 543, 267, 811, 11932, 267, 9013, 922, 7556, 269, 570, 625, 998, 1893, 610, 2245, 267, 646, 6941, 267, 20974, 1229, 2370, 950, 1004, 968, 26200, 544, 15735, 1524, 676, 1616, 267, 14000, 267, 543, 2112, 1848, 16586, 16922, 519, 4102, 1895, 540, 11082, 547, 14679, 547, 3013, 1282, 519, 1101, 3368, 540, 519, 22733, 2540, 269, 1473, 340, 1027, 547, 4734, 2342, 676, 513, 4999, 540, 19856, 656, 13137, 543, 2370, 4316, 585, 2804, 13120, 267, 16586, 1166, 18088, 547, 3703, 3345, 3013, 538, 519, 5215, 269, 634, 3510, 538, 2342, 267, 632, 9197, 11726, 11355, 385, 497, 584, 11339, 267, 1223, 11904, 513, 812, 968, 320, 530, 4958, 577, 2223, 6028, 1864, 27507, 540, 27828, 267, 1641, 547, 519, 968, 325, 992, 985, 540, 519, 3638, 2223, 543, 1510, 519, 1797, 547, 7118, 3694, 269, 1452, 23434, 267, 646, 6941, 267, 694, 30099, 11082, 685, 14017, 547, 741, 4182, 540, 5169, 563, 8489, 553, 632, 9197, 11726, 11355, 385, 497, 584, 779, 10206, 540, 27828, 859, 12184, 519, 5354, 540, 5256, 11082, 538, 519, 3703, 10125, 1282, 741, 32031, 538, 2342, 12544, 1267, 540, 519, 16918, 779, 26771, 593, 10747, 1018, 729, 24940, 607, 1134, 607, 513, 14227, 1062, 602, 16934, 782, 855, 513, 15410, 540, 519, 2551, 1765, 1372, 9197, 11726, 11355, 385, 497, 584, 13187, 602, 3013, 3091, 519, 2609, 2556, 585, 2367, 547, 1831, 24940, 269, 1261, 7125, 519, 1184, 513, 968, 5471, 18982, 2670, 2223, 610, 4720, 267, 1500, 2009, 676, 7810, 4031, 269, 2755, 538, 2342, 267, 4031, 6508, 689, 1585, 25931, 4703, 610, 2612, 565, 583, 626, 17710, 267, 538, 7810, 3345, 3013, 267, 1004, 5280, 25666, 7810, 4031, 269, 1546, 9197, 11726, 11355, 385, 497, 584, 6941, 602, 7810, 6608, 960, 538, 5348, 322, 609, 519, 1004, 267, 3246, 15314, 585, 2182, 960, 267, 519, 7872, 585, 2244, 6718, 267, 543, 519, 11601, 540, 968, 1492, 2140, 540, 1954, 18779, 1848, 634, 4630, 1108, 540, 7810, 6608, 5280, 16358, 1125, 513, 968, 24030, 5832, 892, 602, 968, 31904, 892, 3703, 3345, 3013, 563, 5719, 9197, 11726, 11355, 385, 497, 584, 8057, 909, 538, 513, 13998, 5302, 27935, 2486, 269, 634, 3943, 1514, 1931, 538, 519, 22733, 2540, 729, 5258, 883, 1614, 2516, 281, 519, 23464, 267, 519, 18211, 7100, 610, 28665, 267, 543, 519, 1455, 619, 269, 18004, 547, 606, 9565, 18211, 7095, 1920, 267, 632, 9197, 11726, 11355, 385, 497, 584, 14754, 1514, 15523, 607, 513, 1126, 543, 519, 31716, 602, 8507, 689, 873, 269, 9282, 1455, 619, 16922, 519, 5354, 540, 519, 2551, 2429, 2342, 267, 789, 4607, 1100, 15889, 13180, 585, 741, 547, 2812, 269, 634, 5834, 540, 5763, 538, 519, 3946, 540, 513, 1507, 6871, 540, 519, 2551, 6719, 267, 547, 632, 9197, 11726, 11355, 385, 497, 584, 267, 606, 3239, 540, 519, 2250, 602, 7283, 9048, 935, 4290, 762, 609, 29678, 269, 17957, 267, 519, 3703, 3345, 1977, 10125, 12544, 3660, 676, 15417, 2244, 543, 1175, 4031, 1765, 25075, 3660, 513, 811, 15028, 4605, 563, 1103, 16707, 267, 632, 9197, 11726, 11355, 385, 497, 584, 24716, 29678, 547, 513, 3864, 1062, 602, 13333, 593, 1232, 611, 775, 543, 568, 14102, 676, 519, 1016, 24503, 566, 540, 513, 1713, 6712, 540, 519, 2551, 269, 634, 17888, 24134, 538, 519, 22733, 2540, 585, 4509, 14461, 1514, 15523, 729, 513, 3661, 602, 621, 729, 2696, 779, 786, 269, 12559, 565, 583, 626, 16313, 338, 10645, 602, 741, 2990, 6508, 689, 10143, 4341, 282, 28665, 267, 676, 10137, 267, 9738, 602, 741, 29341, 2990, 849, 6508, 689, 2696, 779, 1434, 786, 269, 3943, 4622, 8402, 2473, 4353, 543, 1010, 19289, 538, 12411, 320, 14792, 2099, 267, 5310, 267, 519, 1034, 535, 969, 550, 1383, 540, 18211, 7095, 1232, 611, 775, 269, 8779, 532, 5111, 476, 14138, 2929, 561, 643, 637, 267, 519, 19289, 1223, 2777, 1896, 8536, 1004, 269, 7040, 4536, 3576, 909, 15335, 693, 519, 19289, 267, 7900, 513, 12572, 1909, 607, 519, 4622, 779, 5480, 269, 3864, 18211, 7100, 267, 799, 15538, 540, 8821, 956, 543, 16918, 2818, 540, 519, 23464, 267, 27361, 1852, 936, 519, 6917, 32066, 5095, 676, 1259, 540, 741, 4074, 269, 1546, 9197, 11726, 11355, 385, 497, 584, 11339, 602, 519, 6917, 3864, 14099, 1599, 539, 896, 513, 1062, 16922, 540, 968, 1492, 20935, 14500, 267, 543, 519, 688, 7676, 1399, 544, 6416, 892, 602, 16668, 741, 5763, 689, 27998, 23493, 538, 968, 1492, 10036, 32472, 554, 583, 543, 3765, 30514, 9348, 16535, 1848, 9521, 519, 7810, 1954, 18779, 267, 27998, 1705, 711, 1378, 519, 3132, 6508, 689, 741, 2978, 832, 269, 13298, 267, 28867, 3581, 10519, 539, 27998, 1507, 8778, 338, 540, 2244, 585, 8105, 269, 634, 31356, 5828, 936, 513, 1713, 6712, 540, 519, 3132, 547, 519, 28867, 867, 547, 2628, 585, 519, 10519, 269, 901, 11460, 267, 646, 4967, 267, 8507, 538, 968, 5155, 1722, 267, 543, 24631, 11668, 2223, 6028, 27998, 968, 3530, 21719, 676, 513, 3099, 540, 3765, 7685, 543, 6499, 1848, 24641, 968, 320, 16339, 5328, 19036, 267, 513, 3638, 705, 15318, 267, 610, 513, 22800, 18459, 892, 1223, 11240, 538, 968, 24030, 13217, 906, 540, 17195, 2223, 513, 1804, 10126, 540, 519, 2551, 7283, 3186, 3482, 563, 1103, 6476, 547, 519, 1514, 4259, 540, 2342, 267, 519, 1977, 10125, 17820, 1896, 4191, 540, 29678, 269, 18521, 515, 9405, 2035, 540, 10143, 1318, 538, 3870, 540, 24084, 2989, 19237, 267, 632, 9197, 11726, 11355, 385, 497, 584, 12125, 513, 4276, 1063, 2470, 543, 513, 2486, 602, 3252, 2687, 547, 1367, 4074, 269, 1261, 11339, 267, 968, 2171, 723, 1100, 2379, 806, 267, 585, 7247, 649, 547, 559, 267, 5182, 557, 267, 543, 18053, 281, 649, 616, 519, 1034, 3501, 2486, 1631, 4540, 538, 519, 1158, 1848, 589, 812, 779, 2067, 1533, 267, 646, 24616, 267, 568, 602, 540, 513, 1954, 17507, 2324, 538, 512, 30802, 609, 519, 3618, 269, 4014, 1514, 15523, 11478, 538, 519, 10125, 267, 632, 9197, 11726, 11355, 385, 497, 584, 24616, 602, 519, 968, 5341, 543, 519, 4057, 616, 711, 865, 2484, 6569, 689, 1142, 824, 1848, 769, 824, 1913, 267, 6466, 538, 2342, 27998, 5030, 538, 10036, 554, 7491, 1247, 561, 3581, 759, 3660, 538, 812, 832, 267, 4892, 17743, 539, 538, 5321, 540, 968, 921, 2084, 7833, 640, 1848, 4634, 519, 30529, 540, 891, 5321, 3177, 741, 8227, 4313, 543, 4027, 689, 519, 2067, 2609, 563, 8624, 517, 1235, 14460, 968, 534, 2615, 28639, 892, 602, 12790, 782, 855, 513, 1906, 540, 519, 2551, 543, 7550, 513, 968, 2908, 7154, 540, 2713, 892, 1759, 593, 1007, 22649, 540, 27828, 543, 8242, 1523, 687, 540, 8956, 267, 519, 2631, 540, 799, 729, 1419, 6537, 689, 4074, 269, 14301, 4222, 689, 2470, 267, 519, 968, 2908, 812, 892, 2813, 513, 2413, 2486, 676, 3384, 543, 7598, 1007, 3741, 267, 2093, 267, 543, 8369, 269, 7073, 640, 6707, 535, 4310, 519, 8699, 543, 15683, 540, 519, 16027, 609, 519, 7214, 14768, 540, 519, 9443, 543, 6575, 269, 4475, 267, 4892, 711, 1152, 3288, 24231, 519, 16027, 945, 20595, 5321, 335, 684, 813, 28328, 855, 849, 519, 4081, 269, 570, 2586, 1927, 267, 3013, 605, 742, 1229, 513, 1514, 5251, 602, 729, 25921, 1114, 689, 3864, 3631, 563, 12024, 632, 9197, 11726, 11355, 385, 497, 584, 267, 12206, 723, 7074, 519, 26945, 17539, 540, 7810, 3345, 3013, 538, 519, 1296, 3056, 909, 547, 519, 1977, 7169, 269, 1635, 519, 2038, 22733, 2540, 267, 11082, 689, 10430, 543, 5125, 17772, 2354, 539, 2296, 11776, 269, 2986, 3160, 2956, 729, 519, 7142, 9194, 540, 5215, 540, 20338, 269, 3979, 10437, 538, 7013, 10125, 3648, 856, 333, 3518, 1229, 3043, 21152, 267, 513, 1267, 540, 519, 3395, 991, 585, 10553, 4074, 547, 3132, 20013, 7031, 269, 5047, 267, 519, 4527, 540, 1977, 12075, 267, 1247, 14320, 21022, 689, 519, 27867, 2540, 267, 18562, 27648, 1776, 4494, 540, 6803, 4763, 269, 769, 10503, 519, 1007, 1977, 267, 632, 9197, 11726, 11355, 385, 497, 584, 14405, 14311, 689, 3864, 19366, 5095, 267, 10452, 1010, 16402, 1417, 878, 5133, 538, 10747, 1977, 18541, 269, 1635, 10747, 606, 1977, 5198, 607, 9003, 6508, 689, 17417, 267, 632, 9197, 11726, 11355, 385, 497, 584, 608, 11079, 1977, 12075, 543, 20338, 689, 519, 1977, 3084, 3961, 563, 5719, 9197, 11726, 11355, 385, 497, 584, 32625, 602, 519, 1007, 1977, 7960, 689, 606, 31498, 14212, 540, 513, 3099, 540, 3864, 6803, 885, 269, 2920, 532, 607, 513, 4663, 3391, 547, 1010, 5467, 267, 1010, 14070, 1915, 267, 6276, 267, 11339, 602, 4892, 968, 732, 513, 7848, 540, 2296, 267, 8857, 577, 267, 9721, 267, 3943, 267, 10656, 267, 16586, 267, 543, 9527, 525, 1848, 1323, 9868, 547, 519, 6803, 4763, 267, 6276, 5267, 267, 568, 1715, 4789, 282, 646, 6941, 602, 602, 1858, 7283, 5097, 538, 519, 3946, 540, 519, 3703, 269, 2755, 632, 9197, 11726, 11355, 385, 497, 584, 729, 2953, 538, 602, 2296, 5443, 1705, 13822, 513, 1804, 6871, 540, 519, 2551, 538, 1346, 10125, 267, 11082, 3323, 547, 13863, 2476, 693, 1346, 2101, 885, 676, 519, 4571, 32732, 7570, 2540, 269, 25141, 2066, 6803, 10665, 5280, 32135, 2686, 15523, 269, 6276, 19646, 540, 6616, 513, 1920, 609, 2296, 267, 10656, 267, 543, 3943, 13218, 267, 513, 1267, 540, 1142, 5108, 2261, 11538, 2066, 6803, 6302, 269, 1261, 6941, 602, 968, 785, 1339, 338, 540, 782, 6082, 616, 24268, 883, 513, 1007, 5198, 540, 2367, 2223, 10205, 532, 782, 8801, 7907, 543, 968, 534, 2615, 28639, 543, 25654, 3034, 1103, 19220, 540, 632, 9197, 11726, 11355, 385, 497, 584, 779, 1289, 585, 606, 1439, 547, 1514, 17478, 267, 1010, 4214, 540, 519, 1977, 812, 12790, 1977, 12075, 543, 20338, 267, 1863, 543, 20665, 269, 9282, 646, 10353, 8474, 267, 513, 1249, 9672, 676, 1010, 11836, 519, 5081, 18863, 2946, 964, 2549, 529, 964, 3143, 15077, 267, 646, 1705, 711, 1331, 17051, 538, 1010, 5888, 540, 519, 1007, 1977, 5198, 267, 7713, 602, 968, 25567, 753, 941, 2899, 16559, 782, 936, 2342, 1848, 4095, 5095, 4797, 547, 6336, 3310, 609, 21152, 267, 607, 3864, 11082, 4797, 547, 7903, 7178, 267, 8744, 609, 873, 9274, 543, 2831, 602, 530, 3754, 13778, 2242, 547, 519, 1604, 543, 4299, 4095, 10122, 3270, 543, 1569, 547, 4123, 5370, 899, 535, 2720, 269, 3979, 10437, 267, 896, 519, 3463, 540, 6144, 531, 10751, 267, 547, 6150, 593, 10269, 267, 7573, 267, 543, 10568, 24914, 267, 3710, 9897, 543, 5321, 267, 5249, 607, 2777, 22063, 267, 543, 513, 3099, 540, 824, 4247, 269, 6736, 891, 7418, 267, 632, 9197, 11726, 11355, 385, 497, 584, 16934, 873, 689, 513, 851, 538, 519, 1977, 1788, 563, 5719, 9197, 11726, 11355, 385, 497, 584, 4767, 519, 11944, 540, 1977, 18541, 269, 1306, 13994, 4327, 538, 1010, 3791, 4484, 267, 646, 5433, 3013, 547, 581, 513, 3501, 2486, 267, 1500, 2009, 676, 2043, 17766, 2250, 28639, 543, 1514, 15523, 269, 589, 1007, 27828, 267, 9141, 676, 4074, 543, 512, 5446, 2470, 267, 6488, 539, 2367, 519, 2702, 547, 1683, 1426, 585, 2933, 543, 3885, 607, 1134, 607, 519, 4316, 547, 1831, 1954, 18779, 269, 589, 3864, 2486 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 2175, 952, 596, 4782, 1870, 12909, 547, 581, 9788, 856, 538, 4013, 1893, 19403, 811, 0, 1692, 547, 1332, 707, 4552, 547, 476, 274, 5937, 281, 476, 274, 5937, 574, 5014, 454, 327, 1515, 323, 816, 619, 616, 1210, 476, 274, 8820, 8228, 547, 948, 873, 2759, 811, 4552, 982, 789, 1223, 538, 519, 2250, 267, 543, 1631, 519, 2029, 1223, 1118, 741, 960, 513, 2603, 4443, 563, 2026, 540, 3735, 476, 1001, 277, 267, 476, 274, 1673, 8228, 568, 4742, 513, 3044, 1907, 585, 1818, 3615, 267, 543, 1082, 3549, 616, 3168, 547, 3142, 519, 2029, 547, 519, 5010, 1158, 563, 1103, 513, 3381, 5950, 676, 476, 274, 14289, 2029, 267, 606, 11653, 538, 5842, 12770, 2982, 875, 547, 1820, 513, 2241, 6292, 540, 23805, 609, 513, 476, 274, 15304, 8955, 547, 1118, 513, 476, 274, 291, 268, 2745, 539, 2212, 7171, 563, 1607, 1223, 581, 513, 1630, 517, 547, 1004, 3168, 547, 723, 741, 4552, 2759, 267, 855, 621, 1223, 849, 581, 606, 1256, 811, 4277, 1259, 547, 1711, 1007, 4552, 2010, 563, 314, 9202, 8262, 8892, 3842, 8921, 8262, 316, 476, 274, 1673, 574, 5014, 4552, 267, 476, 274, 291, 23252, 723, 2907, 8810, 547, 581, 606, 11212, 3730, 1907, 585, 2870, 1007, 688, 1009, 5138, 563, 1103, 476, 1001, 275, 267, 476, 274, 323, 8228, 729, 1031, 547, 1118, 606, 3003, 3529, 1796, 909, 593, 922, 1378, 267, 543, 1256, 513, 2241, 2759, 540, 4552, 814, 1044, 9102, 883, 606, 3003, 3068, 267, 7916, 267, 543, 7953, 563, 274, 1790, 7765, 1562, 616, 2147, 547, 476, 274, 291, 9102, 2212, 27512, 267, 855, 3079, 540, 476, 274, 291, 8228, 593, 513, 4062, 540, 1957, 267, 596, 1820, 513, 476, 274, 323, 268, 2745, 539, 1843, 593, 513, 2627, 602, 779, 2907, 9102, 563, 2690, 1383, 267, 476, 274, 267, 1822, 476, 274, 15304, 338, 941, 1031, 547, 1711, 513, 476, 274, 9943, 274, 7470, 267, 543, 1287, 789, 941, 2322, 883, 513, 5068, 11480, 547, 1106, 513, 5023, 563, 274, 291, 23252, 723, 849, 1044, 1031, 547, 1820, 1114, 2010, 540, 3615, 267, 1519, 4496, 10824, 543, 4496, 14034, 267, 799, 616, 1419, 1031, 547, 1039, 9403, 547, 14446, 563, 2026, 519, 2029, 1319, 999, 267, 476, 274, 7825, 3562, 268, 274, 7825, 4552, 1223, 581, 1031, 547, 1628, 513, 2212, 7171, 602, 779, 909, 547, 1614, 2053, 23198, 982, 2757, 476, 274, 20878, 4552, 267, 799, 1131, 1118, 4552, 602, 779, 3476, 543, 811, 8465, 982, 519, 3328, 1268, 779, 4552, 563, 763, 2029, 568, 849, 1373, 1031, 547, 1374, 1007, 476, 274, 291, 3615, 267, 971, 607, 4496, 14034, 602, 666, 581, 1500, 547, 3514, 936, 707, 10772, 267, 513, 1184, 602, 568, 1869, 538, 519, 2038, 5933, 563, 274, 7825, 4552, 949, 711, 581, 607, 1455, 607, 519, 476, 274, 291, 16493, 649, 4718, 2063, 1032, 267, 855, 519, 2029, 568, 1818, 6329, 563, 2252, 476, 274, 1673, 1122, 4181, 666, 581, 9102, 593, 513, 5068, 2627, 267, 1946, 666, 1406, 621, 849, 581, 9102, 538, 4496, 888, 2026, 649, 5018, 1657, 267, 476, 274, 323, 574, 5014, 1223, 1118, 4552, 1413, 1454, 3476, 543, 25182, 982, 621, 2907, 1281, 267, 855, 602, 949, 711, 1611, 602, 649, 2461, 2469, 547, 1294, 513, 2898, 1007, 2039, 540, 688, 1009, 5138, 538, 519, 2282, 2104, 563, 274, 9943, 272, 476, 274, 291, 4552, 267, 606, 1843, 609, 476, 274, 2173, 11669, 476, 274, 1790, 657, 14476, 593, 513, 6366, 2627, 267, 1223, 849, 6961, 3730, 585, 4552, 602, 2115, 547, 581, 17208, 610, 21401, 547, 13918, 811, 540, 922, 2497, 563, 2690, 713, 1826, 540, 4552, 267, 596, 1522, 723, 547, 2759, 513, 851, 1055, 519, 7475, 267, 799, 1223, 1711, 2042, 952, 596, 1616, 547, 3136, 519, 688, 1009, 1803, 563, 763, 476, 274, 291, 2029, 602, 786, 1118, 476, 274, 24266, 4552, 2009, 786, 2693, 581, 1031, 538, 3156, 899, 476, 274, 2173, 21983, 14446, 267, 476, 274, 9943, 273, 476, 274, 291, 14446, 267, 543, 476, 274, 2389, 839, 6361, 2173, 650, 9014, 17489, 4496, 14034, 563, 763, 2702, 547, 1118, 891, 3615, 602, 666, 18846, 610, 12701, 899, 513, 1268, 779, 3068, 543, 1560, 568, 835, 540, 519, 1034, 4277, 1007, 7835, 538, 476, 274, 2173, 332, 4552, 563, 274, 6113, 24266, 688, 2273, 334, 634, 1985, 22831, 688, 1009, 1803, 267, 476, 274, 6113, 4110, 4552, 267, 814, 1044, 1472, 585, 1296, 267, 855, 814, 5063, 1500, 513, 2462, 10943, 1662, 538, 519, 6752, 1158, 563, 2005, 779, 513, 1259, 585, 2367, 547, 1332, 741, 4552, 547, 606, 5863, 4110, 267, 855, 607, 519, 4552, 568, 6094, 543, 621, 779, 7923, 547, 513, 18843, 267, 621, 666, 581, 2182, 547, 1205, 621, 547, 2097, 856, 4625, 6366, 563, 1607, 568, 513, 2101, 2721, 3724, 585, 2367, 267, 945, 666, 1406, 5957, 5394, 530, 12127, 610, 581, 553, 625, 602, 1413, 3501, 585, 513, 3068, 27480, 2759, 563, 288, 1007, 476, 274, 268, 1457, 29719, 4552, 1374, 267, 799, 3322, 5969, 4552, 693, 519, 7475, 540, 476, 274, 1114, 22204, 267, 814, 3144, 936, 519, 2872, 563, 21156, 540, 2348, 513, 2582, 18843, 540, 4552, 602, 666, 1406, 581, 8237, 267, 513, 4552, 1467, 568, 2813, 602, 11498, 883, 519, 824, 1439, 540, 519, 4552, 267, 4758, 621, 606, 3592, 3501, 476, 274, 291, 1198, 563, 274, 1457, 643, 2510, 723, 513, 2603, 540, 1761, 585, 519, 2367, 945, 723, 1044, 546, 15105, 519, 2856, 540, 741, 4552, 3395, 547, 476, 274, 5232, 267, 543, 972, 616, 1896, 476, 274, 268, 274, 269, 276, 24266, 6272, 593, 519, 2344, 2907, 563, 763, 2856, 568, 602, 476, 274, 4458, 6040, 4552, 1223, 1332, 547, 581, 1614, 2053, 3476, 982, 3339, 4552, 267, 609, 513, 3501, 476, 274, 3562, 539, 3562, 525, 267, 1614, 31795, 6244, 24060, 267, 543, 606, 11212, 8465, 476, 274, 1673, 582, 563, 1607, 1826, 540, 1374, 786, 948, 513, 2603, 585, 2367, 945, 616, 14126, 827, 741, 4552, 3478, 856, 540, 8167, 267, 855, 476, 274, 1673, 904, 6040, 688, 2273, 657, 616, 2469, 547, 1413, 811, 11141, 982, 4376, 3116, 563, 763, 5898, 540, 713, 476, 274, 6377, 4552, 568, 602, 621, 666, 2965, 1332, 547, 519, 1448, 1141, 621, 3587, 1360, 6094, 267, 855, 609, 2614, 3259, 547, 1869, 3514, 593, 513, 2212, 563, 1607, 476, 274, 18826, 688, 1009, 1803, 568, 2965, 1175, 4552, 609, 513, 1114, 1297, 0, 21357, 2152, 616, 519, 1283, 3123, 540, 2669, 538, 3013, 269, 898, 782, 6238, 609, 2295, 2068, 693, 519, 1283, 540, 519, 1592, 267, 4553, 676, 2860, 563, 1103, 3791, 1747, 616, 7929, 3676, 269, 4634, 609, 2413, 3782, 267, 713, 2468, 334, 1869, 5012, 547, 811, 7972, 982, 4376, 3116, 454, 6546, 1281, 2285, 596, 930, 4743, 540, 1852, 269, 1411, 666, 2539, 707, 8458, 540, 2295, 2068, 609, 2973, 4189, 269, 1411, 666, 2539, 519, 12918, 540, 2960, 2860, 676, 12145, 3141, 4598, 269, 1411, 666, 2539, 519, 12918, 540, 7929, 2152, 676, 1201, 20995, 689, 7296, 269, 2755, 596, 3112, 9004, 519, 4220, 7357, 267, 596, 666, 948, 547, 930, 6708, 563, 6546, 781, 1018, 2306, 519, 3143, 269, 476, 275, 3056, 2014, 540, 2669, 865, 31029, 281, 10913, 563, 4322, 10913, 1331, 8813, 267, 1286, 20739, 4242, 543, 3075, 22536, 4680, 267, 1175, 547, 2012, 513, 1906, 1806, 269, 20226, 1448, 856, 602, 1034, 23139, 7972, 2097, 689, 22536, 4680, 543, 1286, 10913, 269, 634, 3075, 2665, 616, 3395, 811, 1455, 269, 2755, 972, 814, 1044, 930, 5786, 538, 1286, 10913, 936, 519, 5756, 267, 26531, 6117, 814, 2799, 519, 8594, 1586, 538, 2487, 1296, 563, 1432, 568, 31029, 827, 606, 23139, 2669, 568, 602, 596, 949, 723, 1100, 1852, 693, 782, 269, 589, 3765, 16932, 539, 3075, 1223, 1291, 547, 606, 23139, 30072, 269, 589, 12161, 676, 513, 2564, 3318, 1223, 723, 519, 1482, 1267, 269, 2290, 2241, 5470, 676, 513, 26531, 9920, 610, 513, 26583, 9920, 1223, 1942, 596, 707, 1272, 563, 4415, 10913, 20823, 865, 1164, 593, 519, 1592, 267, 4892, 991, 547, 581, 3222, 540, 782, 540, 741, 3656, 3681, 950, 513, 6068, 835, 568, 7166, 1813, 547, 2576, 3116, 781, 32226, 269, 18984, 643, 832, 949, 581, 2111, 547, 3343, 2883, 13180, 585, 4503, 13848, 267, 24133, 3790, 267, 2564, 12014, 543, 811, 269, 0, 8448, 2477, 1223, 798, 519, 1482, 547, 1118, 1919, 811, 12001, 563, 263, 921, 848, 1810, 1405, 946, 1250, 6085, 607, 513, 12853, 7901, 547, 1376, 513, 4074, 2924, 7521, 994, 9213, 267, 596, 723, 547, 21189, 2228, 543, 519, 1268, 596, 1413, 909, 666, 1294, 707, 2012, 538, 519, 2845, 454, 296, 2731, 1810, 1405, 1294, 513, 1966, 609, 602, 543, 1131, 1869, 2015, 621, 1857, 1344, 563, 3383, 910, 972, 814, 1044, 2242, 602, 8507, 538, 1447, 11413, 610, 1732, 7834, 267, 4470, 593, 1448, 540, 2070, 454, 300, 1389, 803, 1616, 547, 2007, 4514, 543, 1174, 519, 654, 14176, 338, 543, 670, 8582, 338, 621, 781, 1044, 12913, 563, 2026, 2576, 4535, 538, 513, 2112, 2389, 1941, 2197, 267, 14375, 3972, 568, 1360, 15991, 16697, 762, 3544, 1973, 30499, 14077, 269, 15788, 267, 538, 971, 513, 2486, 972, 568, 513, 1164, 4110, 540, 5134, 6412, 1063, 2043, 689, 1114, 1514, 5049, 610, 4525, 269, 5398, 569, 18071, 2200, 899, 21496, 4747, 568, 519, 2063, 3364, 602, 1131, 2097, 547, 4896, 781, 2247, 269, 1306, 606, 2937, 267, 594, 723, 1100, 6405, 2856, 875, 1454, 513, 24107, 270, 8001, 2306, 829, 3923, 269, 1284, 4312, 1831, 865, 1031, 547, 1373, 22394, 1247, 9296, 3228, 2406, 4687, 938, 15271, 563, 288, 1747, 899, 16157, 4667, 899, 2588, 18701, 547, 803, 269, 6496, 519, 2229, 26544, 676, 4687, 12504, 781, 4080, 4747, 286, 5808, 4991, 547, 13182, 267, 2594, 543, 21287, 971, 9623, 286, 1772, 972, 513, 2186, 540, 10751, 585, 15073, 1513, 270, 3832, 11596, 270, 16086, 619, 286, 1772, 519, 23930, 540, 2123, 4747, 513, 7453, 3656, 17185, 610, 513, 1875, 1532, 4193, 2199, 2245, 286, 594, 6415, 9425, 7138, 1194, 563, 285, 4033, 2477, 1223, 798, 519, 1482, 547, 1118, 1919, 811, 12001, 563, 1432, 2357, 16666, 15889, 2640, 1281, 713, 723, 888, 26594, 267, 17715, 543, 4023, 888, 12385, 3012, 1227, 5310, 267, 855, 1004, 616, 1004, 2483, 10673, 1405, 991, 3025, 781, 4747, 547, 581, 1857, 1344, 547, 798, 602, 563, 2005, 5673, 952, 596, 1616, 3432, 532, 22717, 547, 581, 12001, 267, 610, 5728, 563, 3674, 621, 513, 10169, 1007, 7939, 286, 1772, 621, 2653, 547, 1569, 519, 1344, 888, 1103, 2013, 540, 18940, 267, 519, 1699, 9086, 602, 2306, 3454, 1344, 1857, 729, 8385, 5189, 538, 476, 1960, 280, 855, 594, 666, 1405, 3314, 2436, 519, 5638, 941, 849, 1857, 630, 22372, 593, 930, 824, 7939, 264, 1991, 547, 602, 610, 711, 269, 769, 1022, 2013, 267, 621, 781, 711, 602, 2487, 269, 634, 1234, 26407, 2376, 3081, 16157, 814, 1185, 1857, 3454, 1344, 2094, 476, 5908, 274, 267, 855, 594, 1810, 1405, 13948, 917, 4376, 811, 827, 602, 563, 28425, 9590, 298, 24455, 781, 3454, 5638, 616, 10416, 513, 6049, 1289, 2476, 269, 1411, 666, 1405, 1175, 24440, 585, 519, 1344, 267, 1498, 269, 594, 1810, 1405, 917, 875, 621, 1568, 538, 16157, 269, 630, 31171, 281, 855, 15151, 519, 24107, 30491, 798, 8094, 3383, 950, 519, 3454, 8116, 2306, 513, 3375, 593, 707, 9204, 602, 3587, 1857, 267, 1775, 4318, 649, 666, 1294, 1018, 3454, 762, 4747, 596, 723, 269, 2290, 1259, 713, 568, 1031, 568, 676, 14786, 547, 1413, 883, 519, 4747, 540, 14761, 630, 663, 824, 4583, 1004, 907, 1916, 763, 1318, 540, 1857, 1344, 568, 3144, 3833, 12517, 676, 519, 10470, 630, 663, 1058, 581, 3144, 811, 12517, 676, 8041, 602, 2731, 899, 547, 19665, 519, 1344, 607, 5728, 267, 799, 596, 1287, 723, 547, 979, 547, 5480, 547, 4161, 1040, 1280, 1383, 606, 13539, 594, 6415, 2404, 609, 729, 2111, 547, 1205, 519, 23739, 1239, 689, 519, 16528, 12751, 540, 17318, 799, 519, 10470, 5462, 729, 1857, 1344, 630, 24392, 789, 941, 4847, 547, 9633, 930, 1344, 1040, 0, 20118, 267, 972, 616, 2185, 1898, 834, 324, 6123, 257, 602, 17663, 938, 4081, 960, 538, 513, 1164, 1153, 1893, 6575, 1576, 281, 2542, 267, 1603, 267, 6340, 267, 543, 1382, 269, 1284, 616, 7683, 2324, 547, 10244, 891, 2609, 267, 540, 339, 550, 1307, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 17286, 3188, 2832, 698, 543, 4371, 513, 5870, 609, 13222, 689, 519, 7025, 4972, 540, 17286, 3188, 2832, 698, 267, 4972, 540, 25561, 1670, 543, 7025, 16424, 267, 10609, 4673, 320, 769, 1562, 537, 332, 11206, 5149, 267, 769, 1562, 537, 332, 11206, 5149, 538, 17286, 3188, 3148, 267, 543, 519, 5004, 540, 16515, 10202, 514, 715, 1513, 13363, 539, 9351, 563, 307, 340, 10202, 514, 715, 1513, 1315, 18090, 4104, 270, 568, 519, 25878, 1439, 540, 519, 590, 9200, 1014, 28580, 27004, 543, 519, 27402, 540, 519, 918, 5782, 4512, 7823, 2039, 269, 28210, 693, 606, 15820, 540, 811, 982, 476, 30663, 7397, 1657, 4262, 1377, 267, 519, 9803, 1448, 538, 31322, 267, 519, 2067, 6288, 729, 10969, 730, 676, 23967, 543, 1093, 18291, 269, 2334, 568, 1946, 538, 476, 1220, 273, 267, 621, 729, 3144, 896, 1533, 2027, 4027, 563, 4002, 519, 521, 573, 5202, 540, 519, 5870, 267, 15518, 725, 22121, 5784, 609, 519, 13222, 3823, 519, 2591, 543, 3356, 540, 5571, 1568, 538, 519, 2361, 540, 1604, 543, 11461, 519, 1259, 4464, 563, 11854, 32496, 267, 15518, 725, 32486, 8387, 7674, 585, 16515, 10202, 514, 715, 1513, 912, 268, 2414, 2061, 16515, 10202, 514, 715, 1513, 689, 23967, 2676, 268, 2414, 2628, 2027, 3007, 593, 7598, 2799, 17167, 338, 585, 10024, 16887, 6870, 2127, 2676, 268, 2414, 2232, 519, 3668, 540, 3937, 585, 4104, 678, 13377, 2676, 268, 2414, 1628, 7254, 3202, 6703, 538, 9235, 4525, 1369, 16887, 6870, 2127, 563, 8489, 972, 941, 1152, 513, 1906, 533, 1149, 2451, 538, 519, 22501, 3037, 539, 2244, 811, 982, 513, 8717, 3516, 267, 972, 568, 1631, 513, 12566, 4104, 1107, 16515, 10202, 514, 715, 1513, 269, 4014, 519, 4104, 729, 7620, 6059, 547, 581, 476, 3583, 2600, 17255, 267, 621, 814, 1631, 1044, 4628, 17468, 269, 3683, 513, 1974, 540, 4557, 1296, 630, 5228, 476, 1220, 274, 547, 476, 1001, 275, 1070, 513, 2698, 540, 476, 1015, 267, 9873, 267, 1822, 12566, 19155, 941, 12630, 593, 476, 274, 267, 7742, 25614, 540, 2244, 547, 1489, 519, 11808, 540, 519, 4104, 563, 13010, 267, 519, 5870, 20109, 593, 1896, 2152, 267, 1519, 519, 1249, 602, 519, 4104, 1770, 1281, 711, 723, 922, 2679, 267, 519, 4972, 540, 25561, 1670, 543, 7025, 16424, 814, 711, 1044, 3177, 609, 519, 10512, 18820, 267, 607, 1134, 607, 972, 568, 513, 3668, 540, 3937, 585, 4104, 678, 13377, 543, 519, 991, 585, 2866, 540, 1533, 8524, 832, 267, 543, 519, 4070, 540, 7254, 3202, 6703, 538, 9235, 4525, 1369, 16887, 6870, 2127, 563, 1103, 3210, 547, 4194, 519, 1657, 20197, 2152, 267, 10579, 540, 5113, 543, 21094, 645, 269, 15506, 7232, 6113, 2940, 32486, 912, 5174, 269, 631, 6064, 6255, 690, 339, 758, 327, 267, 519, 10361, 540, 519, 4972, 540, 590, 624, 7394, 5004, 540, 519, 12080, 540, 5113, 543, 21094, 267, 547, 2932, 4745, 2866, 7886, 609, 519, 4140, 26547, 543, 519, 1160, 5913, 12460, 781, 8433, 585, 1533, 8524, 832, 2676, 5174, 269, 744, 344, 12584, 3570, 320, 267, 519, 10615, 29731, 540, 519, 32645, 10837, 267, 547, 10994, 519, 2679, 3390, 540, 519, 4104, 1770, 538, 17286, 3188, 2832, 698, 609, 519, 6351, 540, 519, 717, 1478, 1676, 779, 8433, 2676, 6874, 269, 631, 6064, 327, 14114, 323, 267, 519, 10361, 540, 519, 21094, 8889, 543, 18509, 1588, 4972, 540, 519, 12080, 540, 5113, 543, 21094, 267, 547, 1628, 7254, 3202, 6703, 538, 16887, 6870, 2127, 267, 30191, 519, 2838, 4441, 563, 11101, 267, 519, 10579, 5483, 602, 5717, 616, 4867, 2921, 1747, 3823, 1079, 1761, 3527, 281, 606, 7634, 540, 519, 4890, 3790, 2404, 609, 519, 4972, 540, 25561, 1670, 543, 7025, 16424, 538, 17286, 3188, 2832, 698, 543, 519, 11865, 540, 1055, 268, 5802, 2185, 2914, 31856, 619, 543, 5179, 31260, 547, 4104, 678, 13377, 563, 763, 10579, 849, 6829, 1010, 1719, 538, 3246, 3255, 585, 519, 22063, 540, 519, 4972, 540, 25561, 1670, 543, 7025, 16424, 547, 1353, 13383, 543, 2744, 3407, 1995, 538, 4914, 2477, 269, 1677, 713, 1439, 267, 646, 814, 11643, 513, 11556, 547, 1896, 3486, 3906, 538, 1931, 547, 5150, 7616, 543, 1489, 585, 891, 3646, 563, 294, 4261, 528, 540, 17286, 3188, 13667, 698, 20050, 29046, 13531, 906, 454, 4002, 4989, 476, 3066, 267, 513, 13693, 566, 5870, 593, 519, 6388, 543, 10781, 540, 519, 968, 3080, 9291, 542, 19029, 892, 2817, 22411, 729, 4371, 538, 17286, 3188, 2832, 698, 563, 7021, 519, 1576, 540, 519, 5870, 267, 519, 17135, 540, 17286, 3188, 2832, 698, 715, 269, 700, 16223, 698, 341, 11456, 329, 9896, 9316, 11650, 609, 11639, 543, 13222, 689, 3529, 5740, 7685, 543, 5599, 3549, 267, 799, 616, 513, 2178, 791, 28127, 585, 519, 3811, 6388, 540, 519, 834, 3080, 9291, 542, 10326, 257, 2817, 22411, 269, 13018, 2676, 268, 15152, 519, 1788, 968, 305, 4078, 23667, 543, 29407, 540, 519, 645, 648, 531, 11206, 538, 17286, 3188, 13667, 698, 2223, 968, 301, 558, 12455, 11206, 344, 892, 20941, 547, 556, 10809, 6098, 2127, 267, 1711, 513, 12062, 321, 3881, 547, 2149, 1007, 4054, 543, 3037, 689, 2842, 11761, 267, 543, 2030, 786, 3298, 2059, 519, 5757, 547, 24644, 519, 4871, 543, 3986, 7320, 7226, 269, 1677, 602, 6708, 267, 476, 2004, 8536, 25614, 540, 1858, 538, 17286, 3188, 2832, 698, 786, 581, 556, 10809, 539, 1210, 3529, 268, 8690, 532, 19025, 267, 4611, 538, 519, 9544, 540, 476, 1911, 2929, 4054, 563, 268, 968, 289, 1245, 570, 636, 584, 962, 15843, 340, 30110, 892, 20941, 547, 2030, 4054, 538, 476, 7742, 269, 279, 25614, 540, 2127, 538, 962, 15843, 340, 543, 10609, 31335, 6204, 916, 267, 17286, 3188, 2832, 698, 1169, 1032, 267, 17935, 693, 9544, 476, 1911, 2929, 4054, 676, 476, 10711, 271, 2676, 268, 968, 291, 1046, 7315, 5450, 718, 17790, 7233, 892, 808, 17092, 547, 2030, 476, 4968, 8536, 786, 3298, 2059, 519, 962, 15843, 340, 5757, 267, 2870, 513, 12062, 321, 3881, 2676, 268, 968, 298, 327, 583, 592, 24533, 1299, 700, 830, 892, 808, 17092, 547, 2030, 476, 1015, 8536, 4054, 829, 1032, 267, 17935, 693, 9544, 476, 1911, 8536, 4054, 676, 476, 10711, 271, 2676, 268, 31322, 4149, 1926, 11114, 4745, 968, 13233, 16424, 4741, 892, 547, 2030, 476, 1911, 2929, 4054, 2676, 268, 968, 289, 1872, 520, 715, 663, 514, 892, 20941, 547, 2030, 476, 1911, 2929, 4054, 1210, 19155, 12630, 538, 3529, 5740, 7685, 267, 556, 10809, 532, 519, 28811, 4104, 2127, 540, 962, 15843, 340, 543, 10609, 31335, 6204, 916, 563, 9827, 267, 3529, 6079, 1782, 543, 1094, 7204, 24218, 941, 4371, 1282, 519, 5870, 269, 0, 290, 28771, 568, 513, 3677, 5420, 13355, 2749, 4092, 538, 519, 1533, 540, 29131, 269, 2060, 513, 2551, 540, 476, 6812, 267, 4792, 277, 1004, 543, 476, 1626, 25499, 16973, 267, 16629, 704, 568, 519, 2034, 4102, 2146, 538, 29131, 563, 15253, 1563, 547, 519, 1964, 540, 519, 2197, 267, 4961, 540, 16629, 704, 6108, 1454, 1447, 942, 538, 741, 6517, 281, 593, 3328, 267, 741, 862, 1393, 547, 960, 568, 1152, 476, 1704, 269, 3451, 3764, 269, 901, 849, 1797, 602, 6846, 543, 5533, 2157, 538, 519, 2749, 616, 1447, 982, 789, 1131, 6382, 581, 563, 1103, 2474, 540, 2852, 2069, 267, 16629, 704, 568, 10169, 1732, 13473, 982, 519, 476, 2641, 269, 10019, 260, 945, 723, 513, 476, 275, 4458, 4110, 610, 2362, 538, 519, 6093, 2475, 2146, 281, 476, 2767, 269, 6246, 260, 540, 4079, 476, 1839, 543, 4587, 538, 519, 2749, 723, 693, 2547, 513, 20277, 781, 4110, 563, 763, 829, 21027, 4747, 538, 16629, 704, 538, 476, 1001, 279, 729, 1269, 4391, 267, 4962, 278, 267, 799, 568, 14547, 3448, 547, 29131, 267, 543, 5580, 1647, 4747, 3448, 547, 519, 1964, 540, 519, 2475, 269, 901, 1226, 919, 547, 606, 5993, 4747, 540, 1269, 16825, 267, 25248, 585, 513, 1920, 540, 2185, 269, 1717, 267, 16629, 704, 3568, 1312, 1360, 14547, 543, 4057, 1004, 607, 1134, 563, 290, 28771, 568, 513, 10169, 17801, 1227, 1673, 5744, 2749, 269, 634, 1004, 945, 1289, 16629, 704, 1753, 4766, 2933, 607, 10362, 547, 513, 3099, 540, 7292, 543, 6803, 2516, 269, 634, 6574, 1297, 540, 16629, 704, 7264, 1867, 741, 5198, 547, 581, 6519, 267, 4553, 676, 7111, 1977, 269, 12830, 7278, 1845, 540, 1004, 538, 16629, 704, 1331, 4436, 267, 9721, 267, 2296, 267, 21785, 267, 543, 3943, 563, 763, 1034, 1455, 1893, 9275, 538, 16629, 704, 568, 2296, 269, 4033, 1271, 4654, 9275, 1934, 1331, 5053, 543, 3943, 269, 0, 16920, 1549, 5937, 1030, 7228, 270, 29730, 13808, 13081, 630, 4696, 8461, 264, 568, 513, 2790, 1072, 4524, 602, 5540, 1312, 1453, 543, 4079, 5001, 267, 4929, 513, 2039, 540, 2589, 602, 1764, 4948, 1272, 269, 901, 2376, 3217, 513, 2620, 4685, 883, 519, 1950, 1158, 540, 11838, 267, 7234, 519, 2589, 267, 3123, 267, 543, 5574, 540, 713, 2783, 538, 1469, 269, 12989, 267, 649, 3382, 1169, 2460, 547, 2285, 513, 3102, 2070, 540, 11838, 563, 8139, 11838, 281, 1323, 11137, 454, 4696, 8461, 568, 513, 1950, 5778, 16467, 11365, 4524, 602, 5097, 5540, 5834, 543, 3007, 12732, 267, 1419, 2404, 609, 791, 6160, 2032, 543, 30759, 269, 9282, 3335, 8995, 538, 6689, 267, 11838, 666, 3136, 883, 15296, 267, 18363, 3232, 3252, 543, 3347, 269, 898, 568, 711, 513, 10638, 610, 5821, 855, 2864, 513, 3017, 538, 519, 2634, 779, 11443, 799, 5540, 24040, 3270, 563, 17829, 4299, 676, 11838, 4865, 4162, 602, 616, 1114, 689, 6848, 8155, 269, 1452, 3604, 616, 711, 2141, 5739, 855, 666, 581, 4101, 547, 4383, 538, 2757, 1949, 267, 18363, 1153, 2773, 267, 960, 4398, 267, 543, 14375, 3347, 269, 4475, 267, 1620, 11838, 267, 922, 2589, 267, 922, 1764, 267, 543, 875, 547, 4383, 621, 568, 2629, 269, 589, 1453, 779, 11838, 4879, 568, 513, 1907, 602, 11226, 538, 2038, 5868, 543, 2359, 540, 713, 2783, 267, 4259, 519, 5748, 585, 513, 16180, 1272, 563, 4696, 8461, 568, 711, 11658, 676, 10923, 6302, 610, 14227, 4567, 269, 898, 568, 513, 2518, 7613, 7133, 1004, 540, 782, 6502, 267, 10080, 267, 543, 15211, 540, 1272, 269, 1717, 267, 519, 11994, 267, 1620, 267, 543, 2126, 540, 11838, 3648, 8428, 5001, 267, 31827, 689, 2686, 25664, 725, 543, 2564, 26336, 563, 763, 12580, 540, 11838, 454, 763, 4295, 2589, 540, 11838, 1331, 538, 3430, 1549, 267, 791, 6160, 2032, 267, 543, 30759, 269, 1717, 267, 891, 22597, 2474, 7854, 513, 2039, 540, 19326, 543, 19183, 269, 769, 3430, 550, 4369, 666, 2099, 7340, 6888, 267, 7411, 538, 2519, 610, 4509, 3007, 267, 4749, 13346, 689, 835, 2534, 547, 1776, 267, 543, 7411, 538, 3919, 543, 942, 2359, 563, 19808, 6160, 2032, 267, 593, 519, 824, 1688, 267, 666, 8915, 607, 791, 520, 1466, 267, 14443, 532, 7391, 267, 7411, 7996, 585, 835, 779, 2490, 267, 543, 9117, 1510, 3206, 827, 519, 4539, 269, 15214, 13808, 666, 581, 2938, 607, 3586, 1964, 16531, 267, 17418, 547, 1694, 1869, 267, 7050, 6158, 267, 610, 535, 573, 1326, 532, 269, 898, 779, 4502, 15663, 602, 891, 2589, 616, 711, 513, 17046, 15262, 540, 11838, 269, 1358, 1223, 2099, 3339, 6689, 7180, 610, 513, 10835, 540, 1776, 5817, 3390, 563, 11101, 267, 519, 6881, 540, 891, 2589, 9775, 689, 1367, 547, 1367, 269, 2368, 949, 4159, 2589, 540, 538, 3430, 1549, 811, 30326, 267, 6466, 1866, 1522, 8858, 15866, 5409, 5562, 27780, 14601, 7180, 269, 4475, 267, 23235, 11838, 568, 711, 513, 3551, 1184, 543, 3340, 513, 3102, 4879, 602, 15109, 1585, 3344, 540, 606, 1367, 779, 7180, 563, 763, 15486, 540, 11838, 454, 12024, 1034, 5626, 4713, 267, 11838, 14340, 689, 606, 6946, 16799, 1063, 11976, 543, 1604, 269, 3194, 6920, 513, 2178, 4719, 5057, 267, 609, 2090, 6029, 602, 952, 513, 2385, 814, 11838, 267, 513, 1126, 814, 811, 982, 513, 476, 2004, 829, 1298, 4960, 540, 2348, 621, 269, 1717, 267, 11976, 4805, 1281, 711, 2491, 519, 12136, 540, 11838, 269, 7025, 2188, 971, 607, 27514, 4598, 547, 4568, 543, 10269, 267, 16349, 4332, 267, 1970, 4332, 2597, 267, 543, 1291, 4598, 849, 3565, 547, 519, 1646, 540, 519, 2783, 563, 26452, 2634, 9196, 2090, 723, 4362, 1896, 1883, 3604, 538, 519, 12058, 540, 1004, 609, 11838, 269, 2368, 2127, 540, 519, 2634, 602, 1852, 3007, 616, 16113, 4130, 267, 1247, 824, 2127, 2404, 609, 2534, 2157, 949, 581, 3677, 269, 5047, 267, 519, 3114, 17539, 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 ]
[ 0, 12163, 10951, 361, 30903, 502, 28884, 19867, 378, 28996, 12255, 14756, 482, 18809, 4970, 353, 14748, 31006, 421, 499, 379, 7511, 4970, 498, 418, 366, 350, 20069, 10429, 361, 10429, 365, 21211, 30006, 491, 7511, 21211, 31033, 4970, 366, 12486, 417, 28187, 31563, 20069, 418, 504, 368, 20693, 505, 25335, 352, 25622, 8147, 28793, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 13213, 485, 421, 360, 502, 8147, 26033, 490, 4970, 498, 28786, 419, 510, 479, 18263, 509, 21251, 28997, 478, 418, 368, 479, 25707, 18713, 510, 20992, 30006, 493, 14748, 21211, 31033, 4970, 366, 421, 25693, 15159, 13200, 365, 2918, 14748, 21211, 30006, 491, 14756, 482, 29873, 7511, 8147, 19867, 478, 23284, 16043, 495, 10524, 361, 23746, 23284, 26033, 481, 420, 503, 495, 10429, 486, 28098, 30006, 493, 14748, 21211, 31033, 4970, 366, 419, 376, 500, 419, 510, 479, 8147, 23746, 23284, 10254, 358, 17958, 12916, 491, 13213, 494, 28997, 501, 13213, 505, 27310, 419, 376, 500, 419, 510, 479, 8147, 24731, 27064, 364, 7511, 21211, 30006, 491, 28098, 18021, 498, 12916, 491, 419, 377, 362, 13601, 25707, 419, 482, 370, 12571, 492, 10254, 353, 13161, 511, 4970, 353, 14748, 21211, 31033, 4970, 366, 20069, 418, 366, 350, 20069, 10429, 361, 10429, 365, 21211, 31033, 9463, 359, 421, 506, 478, 10254, 353, 13161, 511, 14395, 481, 10524, 361, 28098, 18021, 498, 7511, 419, 376, 500, 419, 510, 479, 7511, 4970, 492, 13213, 494, 28997, 501, 15159, 12571, 355, 20992, 272, 22287, 367, 23746, 12486, 692, 20701, 5035, 8827, 24998, 2187, 825, 1219, 3193, 29410, 4311, 267, 1913, 2187, 1038, 8173, 1038, 2433, 6943, 1913, 281, 5903, 314, 1598, 2639, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 15358, 815, 11713, 1038, 2450, 815, 7003, 263, 6919, 994, 1038, 585, 530, 538, 1913, 912, 2018, 15358, 6834, 2040, 263, 272, 24177, 630, 867, 3287, 264, 910, 3921, 3488, 320, 262, 4297, 585, 1535, 538, 1305, 26028, 24270, 7790, 286, 888, 1038, 20735, 815, 476, 271, 454, 1038, 585, 1535, 538, 2039, 4433, 1125, 2187, 2018, 585, 586, 538, 2039, 4433, 1125, 2187, 3546, 952, 711, 630, 333, 4548, 20572, 316, 1299, 15358, 314, 344, 316, 2567, 1948, 2638, 1100, 1482, 5022, 454, 7386, 20735, 815, 3193, 12759, 263, 6919, 20572, 8079, 2608, 7003, 263, 6919, 314, 344, 25818, 20735, 994, 1038, 2132, 20735, 7531, 3269, 3269, 454, 320, 1463, 3070, 454, 3269, 3269, 454, 5035, 8827, 24998, 2187, 825, 1219, 3193, 29410, 4311, 267, 1913, 2187, 1038, 8173, 1038, 2433, 6943, 1913, 281, 5903, 314, 1598, 2639, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 2262, 18380, 815, 9598, 4590, 1038, 585, 2262, 538, 1913, 912, 2018, 2262, 18380, 314, 5320, 316, 815, 1305, 27182, 994, 1038, 3193, 318, 6352, 815, 476, 271, 454, 1038, 585, 1775, 272, 267, 530, 272, 538, 26246, 263, 6919, 2187, 2018, 585, 1775, 273, 538, 2039, 9217, 272, 266, 272, 267, 7003, 263, 6919, 15892, 3546, 530, 273, 815, 1913, 5157, 273, 2639, 3546, 952, 711, 630, 5320, 18380, 314, 342, 272, 316, 1299, 2262, 18380, 314, 342, 273, 316, 2187, 7386, 3193, 318, 6352, 815, 3193, 32384, 318, 6352, 267, 7003, 26028, 272, 264, 2608, 7003, 26028, 273, 4917, 1038, 2132, 3193, 318, 6352, 0, 12163, 25335, 352, 30903, 502, 26233, 507, 420, 371, 363, 16088, 9463, 490, 418, 490, 485, 421, 496, 486, 26233, 507, 418, 481, 367, 8147, 16533, 378, 418, 490, 485, 421, 496, 486, 21251, 13161, 511, 23523, 478, 12571, 492, 19867, 360, 8147, 25051, 497, 19867, 360, 28996, 20069, 22047, 419, 359, 501, 9463, 352, 25060, 483, 12571, 360, 29072, 19867, 478, 20069, 307, 7511, 21211, 31033, 8147, 419, 482, 370, 12571, 492, 19540, 491, 418, 498, 370, 419, 376, 358, 14035, 368, 418, 490, 485, 421, 496, 486, 8147, 454, 25203, 368, 28996, 21251, 420, 25693, 19540, 491, 418, 498, 370, 419, 376, 358, 20992, 27882, 351, 12486, 31006, 12571, 492, 18777, 364, 25051, 499, 19867, 478, 20069, 23746, 420, 25693, 7511, 418, 481, 483, 19540, 369, 18809, 419, 359, 501, 9463, 352, 31006, 16533, 493, 7511, 25707, 12163, 5035, 8827, 912, 825, 1948, 7711, 8873, 513, 5569, 454, 825, 1219, 1295, 20360, 578, 4311, 267, 590, 267, 570, 2187, 1038, 1293, 272, 284, 24001, 282, 1293, 273, 28121, 8679, 1038, 585, 1347, 538, 570, 912, 2018, 952, 1347, 711, 538, 1293, 272, 281, 1293, 272, 314, 10420, 24557, 272, 454, 2018, 3116, 281, 1293, 272, 314, 10420, 316, 23785, 272, 454, 1038, 585, 1347, 538, 570, 912, 2018, 952, 1347, 711, 538, 1293, 273, 281, 1293, 273, 314, 10420, 24557, 272, 454, 2018, 3116, 281, 1293, 273, 314, 10420, 316, 23785, 272, 454, 1038, 1293, 284, 6352, 24867, 994, 1038, 1376, 284, 271, 282, 1295, 23917, 284, 1911, 1822, 282, 1295, 9359, 284, 271, 454, 1038, 585, 1439, 538, 2039, 12759, 22829, 15892, 2018, 952, 590, 314, 754, 316, 538, 1293, 273, 543, 1293, 273, 314, 306, 314, 754, 14963, 285, 271, 912, 3546, 1293, 272, 314, 306, 314, 754, 14963, 268, 284, 272, 454, 3546, 952, 1293, 272, 314, 306, 314, 754, 14963, 285, 284, 271, 912, 7386, 1293, 268, 284, 272, 454, 2018, 952, 1293, 2525, 271, 912, 3546, 1247, 6936, 912, 7386, 952, 590, 314, 11034, 316, 538, 1293, 273, 543, 1293, 273, 314, 306, 314, 11034, 14963, 285, 271, 912, 13376, 952, 1293, 272, 314, 306, 314, 11034, 14963, 283, 271, 912, 23351, 1293, 272, 314, 306, 314, 11034, 14963, 23785, 272, 454, 13376, 3116, 912, 23351, 2736, 454, 7386, 1376, 23785, 272, 454, 3546, 952, 1295, 23917, 285, 754, 3613, 691, 266, 272, 912, 7386, 1295, 23917, 284, 754, 3613, 691, 266, 272, 282, 1295, 9359, 284, 11034, 454, 1038, 952, 1295, 23917, 2525, 1911, 1822, 281, 2132, 1412, 7055, 1038, 3116, 912, 2018, 2132, 590, 314, 2381, 9359, 281, 2381, 9359, 266, 2381, 23917, 6540, 7531, 5035, 8827, 24998, 2187, 825, 1219, 1295, 20360, 578, 4311, 267, 521, 267, 512, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 6943, 512, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 1193, 454, 1038, 8173, 1038, 1219, 568, 11749, 573, 5416, 14720, 2187, 2018, 585, 6221, 538, 536, 912, 3546, 952, 6221, 711, 538, 513, 610, 513, 314, 14403, 316, 2999, 536, 314, 14403, 14158, 7386, 2132, 8771, 454, 2018, 2132, 6936, 454, 1038, 2707, 815, 10070, 269, 29239, 18743, 17301, 994, 1038, 3077, 815, 10070, 269, 29239, 18743, 17301, 994, 1038, 585, 552, 538, 512, 912, 2018, 3077, 314, 324, 316, 6834, 476, 272, 454, 1038, 20735, 815, 15234, 282, 795, 815, 476, 271, 282, 562, 815, 7003, 4433, 5148, 1295, 299, 523, 815, 19523, 27982, 842, 454, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 1247, 795, 2999, 562, 543, 630, 529, 11749, 573, 4433, 1830, 267, 3077, 264, 2652, 8771, 2187, 3546, 2707, 314, 338, 14728, 14963, 6834, 476, 272, 454, 3546, 795, 6834, 476, 272, 454, 2018, 952, 568, 11749, 573, 4433, 1830, 267, 3077, 2187, 3546, 952, 1295, 299, 523, 3436, 795, 25829, 266, 272, 912, 7386, 1295, 299, 523, 815, 795, 25829, 266, 272, 454, 7386, 20735, 815, 521, 5157, 281, 329, 2639, 2018, 2707, 314, 338, 5157, 14963, 20699, 476, 272, 454, 1038, 2132, 20735, 454, 17264, 19638, 692, 7531, 0, 12163, 30244, 26175, 491, 25913, 25622, 17958, 28996, 29072, 22047, 3553, 8147, 16043, 495, 10524, 361, 421, 479, 491, 31308, 484, 21211, 31033, 4970, 366, 8147, 417, 28187, 31563, 418, 509, 494, 14748, 21211, 30006, 491, 21251, 21928, 3553, 18809, 8147, 16043, 495, 10524, 361, 20693, 510, 24662, 30244, 14748, 21211, 30006, 491, 8147, 417, 28187, 31563, 21211, 30006, 491, 26266, 366, 14756, 493, 11858, 502, 21928, 8147, 16043, 495, 10524, 361, 10254, 510, 30522, 353, 13644, 354, 21211, 30006, 491, 8147, 454, 421, 480, 352, 18263, 486, 31006, 14756, 486, 417, 28187, 31563, 3553, 18809, 418, 366, 350, 20069, 21211, 30006, 491, 16043, 500, 15159, 9463, 359, 20069, 22047, 21211, 30006, 491, 28793, 8147, 13644, 368, 13107, 492, 15159, 18713, 508, 24757, 454, 20701, 5035, 8827, 24998, 2187, 825, 1219, 666, 303, 1069, 1393, 21595, 30308, 4311, 267, 521, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 512, 815, 1305, 4590, 1038, 585, 1775, 538, 521, 912, 2018, 952, 1775, 711, 538, 512, 912, 3546, 512, 14491, 9217, 994, 2018, 3116, 912, 3546, 512, 31927, 9217, 994, 1038, 952, 7003, 6025, 264, 2652, 476, 271, 610, 7003, 6025, 264, 2652, 476, 272, 912, 2018, 2132, 6936, 454, 1038, 2132, 8771, 692, 12163, 25335, 352, 25622, 11590, 490, 16088, 30244, 421, 479, 497, 30903, 502, 18777, 358, 16043, 495, 10524, 361, 10254, 353, 13161, 511, 22047, 21211, 31033, 4970, 366, 7511, 10429, 357, 26406, 496, 28578, 20069, 418, 366, 350, 20069, 15159, 18713, 508, 24757, 21211, 31033, 4970, 366, 7511, 8147, 421, 480, 352, 18263, 486, 21550, 373, 29004, 362, 30903, 502, 25203, 362, 18809, 7511, 418, 493, 494, 419, 353, 374, 8147, 16043, 495, 10524, 361, 26166, 21211, 31033, 4970, 366, 7511, 14748, 12255, 15159, 417, 354, 485, 417, 479, 370, 7511, 418, 481, 483, 19540, 369, 23521, 354, 18777, 357, 18777, 374, 8147, 454, 417, 28187, 31563, 15159, 417, 479, 370, 12255, 7511, 13644, 507, 8147, 13200, 365, 30678, 18713, 508, 24757, 21211, 31033, 4970, 366, 7511, 29830, 373, 26233, 356, 8147, 30006, 493, 14748, 21211, 30006, 491, 24731, 27064, 364, 7511, 418, 361, 350, 12255, 13601, 27936, 15159, 417, 479, 370, 12255, 418, 361, 350, 8147, 25051, 497, 21211, 31033, 4970, 366, 15159, 417, 354, 485, 12255, 421, 499, 379, 18021, 355, 28793, 8147, 9463, 359, 20069, 22047, 21211, 30006, 491, 24731, 27064, 364, 7511, 418, 361, 350, 12255, 15159, 417, 354, 485, 12255, 8147, 454, 10429, 370, 12916, 503, 417, 507, 485, 20992, 417, 479, 370, 12255, 8147, 421, 480, 352, 18263, 486, 10254, 358, 17958, 30244, 14748, 29830, 373, 26233, 356, 16043, 495, 10524, 361, 16533, 365, 23746, 23284, 25335, 352, 30903, 502, 8147, 16043, 495, 10524, 361, 417, 375, 374, 419, 360, 489, 30006, 493, 14748, 21211, 30006, 491, 25520, 10429, 370, 24731, 27064, 364, 418, 361, 350, 12255, 7511, 13107, 510, 16533, 482, 8147, 419, 482, 370, 12571, 492, 16043, 495, 10524, 361, 421, 479, 491, 31308, 484, 417, 497, 486, 27747, 490, 23989, 8147, 14756, 509, 18777, 350, 24731, 27064, 364, 418, 361, 350, 12255, 20992, 417, 354, 485, 12255, 7511, 21211, 30006, 491, 7511, 14748, 12255, 8147, 454, 421, 480, 352, 18263, 486, 9463, 359, 20069, 4970, 353, 26175, 491, 418, 481, 483, 19540, 369, 15159, 18713, 508, 24757, 12255, 8147, 21588, 361, 13601, 26175, 491, 15159, 418, 366, 350, 20069, 24731, 27064, 364, 418, 361, 350, 12255, 20992, 417, 354, 485, 12255, 7511, 21211, 30006, 491, 8147, 19540, 491, 22047, 16533, 365, 15159, 21211, 31033, 4970, 366, 421, 499, 379, 18021, 355, 20992, 417, 354, 485, 12255, 8147, 4970, 498, 9463, 359, 20069, 22047, 24731, 27064, 364, 418, 361, 350, 12255, 20992, 417, 354, 485, 12255, 7511, 21211, 30006, 491, 8147, 454, 12163, 5035, 8827, 24998, 2187, 825, 1219, 666, 303, 1069, 1393, 21595, 30308, 4311, 267, 521, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 546, 545, 815, 31460, 1038, 585, 6221, 538, 521, 912, 2018, 546, 545, 314, 14403, 316, 815, 546, 545, 10947, 263, 14403, 267, 476, 271, 264, 1341, 476, 272, 454, 1038, 2132, 2040, 17635, 4939, 476, 273, 585, 642, 538, 546, 545, 269, 11161, 28829, 2999, 476, 273, 0, 12163, 258, 476, 25335, 352, 30903, 502, 26233, 507, 420, 371, 363, 16088, 454, 258, 476, 272, 8147, 10429, 486, 16533, 484, 421, 497, 378, 23989, 16043, 359, 13161, 511, 20992, 4970, 353, 14748, 25203, 372, 419, 511, 487, 421, 499, 379, 18021, 355, 7511, 421, 497, 378, 23989, 8147, 417, 28187, 31563, 421, 497, 378, 23989, 421, 499, 379, 18021, 355, 20992, 417, 354, 485, 12255, 8147, 10254, 503, 21588, 361, 13601, 23521, 350, 421, 497, 378, 23989, 421, 499, 379, 18021, 355, 14035, 504, 272, 12486, 417, 28187, 31308, 509, 421, 497, 378, 23989, 20992, 454, 258, 567, 700, 28121, 272, 267, 273, 267, 274, 267, 275, 267, 276, 348, 8147, 421, 480, 352, 18263, 486, 418, 489, 484, 26166, 14756, 497, 31563, 20992, 299, 272, 28121, 272, 267, 273, 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 ]
[ 2854, 676, 5576, 8500, 2401, 781, 21836, 8250, 267, 21965, 11709, 681, 839, 1088, 320, 518, 5576, 8500, 2401, 3213, 577, 8735, 630, 9965, 272, 1700, 6977, 278, 1040, 11054, 4340, 547, 1312, 2959, 267, 3735, 538, 476, 10082, 278, 267, 2637, 269, 17722, 5576, 8500, 2401, 4280, 1010, 7385, 547, 1305, 3595, 547, 519, 7031, 593, 741, 10040, 2282, 7203, 520, 7541, 538, 1931, 547, 20912, 14074, 547, 519, 14027, 3703, 7952, 269, 5637, 6589, 616, 5393, 5618, 267, 543, 9444, 19528, 606, 3979, 1977, 610, 8197, 1022, 824, 1268, 21528, 11427, 269, 5576, 8500, 2401, 267, 1498, 4432, 2280, 781, 4528, 6257, 4937, 5576, 8500, 2401, 6998, 1010, 7385, 547, 5000, 834, 20130, 4557, 1218, 267, 543, 1866, 257, 547, 6633, 741, 7031, 607, 1134, 269, 630, 17457, 12206, 8969, 602, 713, 2680, 7018, 693, 782, 267, 855, 1100, 835, 538, 2274, 583, 2763, 781, 1554, 6659, 1022, 2243, 827, 621, 269, 23326, 994, 8867, 583, 2763, 1419, 8359, 1010, 3140, 5396, 267, 543, 972, 616, 4128, 547, 1589, 646, 13603, 713, 835, 593, 1010, 1378, 269, 1261, 1185, 2966, 606, 23678, 1324, 585, 606, 476, 7277, 278, 4015, 540, 519, 6965, 540, 5261, 595, 1638, 523, 21563, 656, 267, 799, 2982, 519, 6196, 11620, 5869, 710, 681, 714, 335, 1695, 8066, 513, 8781, 6216, 269, 22397, 368, 769, 7446, 713, 1007, 1641, 267, 2274, 583, 2763, 729, 3413, 15256, 519, 4527, 540, 2021, 540, 2962, 1851, 519, 13348, 1824, 269, 3571, 3903, 949, 723, 1044, 9415, 676, 519, 4028, 2208, 540, 519, 1977, 2021, 781, 2924, 3350, 1063, 476, 7277, 279, 543, 476, 6977, 272, 269, 21965, 5576, 8500, 2401, 31273, 519, 3084, 4778, 540, 2699, 267, 3043, 267, 543, 4544, 267, 543, 621, 568, 4502, 10771, 602, 21965, 543, 513, 1762, 4807, 945, 5654, 547, 581, 835, 540, 1200, 4587, 1453, 616, 519, 5515, 945, 1305, 519, 10568, 620, 697, 267, 1247, 519, 1152, 9921, 812, 538, 519, 32215, 4667, 811, 15372, 539, 676, 519, 31873, 12625, 540, 519, 10546, 269, 21965, 5576, 8500, 2401, 568, 19443, 676, 606, 3979, 1977, 6107, 945, 6585, 519, 23156, 689, 799, 519, 10568, 814, 1044, 1396, 269, 901, 9054, 9934, 15730, 7911, 267, 945, 5654, 693, 519, 8781, 10568, 2864, 982, 519, 1319, 1258, 26009, 1657, 1864, 267, 568, 849, 1942, 25390, 538, 13348, 5328, 4778, 267, 609, 513, 2699, 25099, 543, 4158, 4544, 27890, 602, 616, 14356, 25139, 676, 1010, 3043, 23156, 269, 2311, 519, 2484, 1318, 649, 666, 1294, 519, 14095, 5346, 16455, 602, 786, 6655, 519, 32215, 1895, 2476, 689, 519, 10040, 607, 4166, 607, 519, 632, 539, 568, 2944, 267, 543, 519, 9640, 616, 1373, 5734, 3481, 909, 676, 606, 3979, 1977, 812, 267, 9849, 513, 12450, 11058, 269, 901, 11058, 568, 2147, 547, 835, 12816, 676, 513, 4563, 6107, 538, 1776, 2274, 583, 2763, 4605, 540, 476, 6977, 273, 267, 6115, 607, 11752, 528, 267, 799, 2982, 513, 1360, 1762, 6723, 4259, 1055, 883, 519, 9098, 19069, 563, 7712, 1100, 21849, 2707, 9138, 519, 4527, 540, 3979, 4892, 21528, 11427, 269, 5576, 8500, 2401, 267, 2274, 583, 2763, 781, 10014, 540, 891, 1079, 5515, 3340, 930, 7778, 269, 898, 568, 6157, 3020, 602, 17722, 5576, 8500, 2401, 11262, 10437, 1765, 1015, 616, 6592, 538, 476, 10082, 277, 267, 543, 476, 1691, 538, 476, 9965, 278, 28559, 621, 568, 711, 2693, 602, 2274, 583, 2763, 1131, 723, 1634, 713, 269, 22397, 369, 634, 909, 8063, 1715, 3840, 4259, 540, 519, 2680, 1131, 711, 723, 6700, 519, 13128, 4527, 540, 3979, 4892, 538, 513, 6917, 1604, 269, 2274, 583, 2763, 5693, 17329, 17804, 519, 7911, 781, 4158, 2960, 609, 519, 3043, 23156, 543, 6505, 18723, 269, 1809, 713, 1131, 711, 2491, 519, 10014, 540, 519, 2319, 3122, 693, 519, 1318, 269, 13298, 267, 2274, 583, 2763, 4667, 2377, 1245, 2989, 1934, 547, 3651, 513, 1869, 29884, 855, 2484, 811, 17736, 545, 6681, 1909, 547, 3979, 4892, 538, 12316, 2534, 982, 646, 1185, 538, 519, 9061, 532, 269, 26681, 519, 7911, 6862, 21965, 5576, 8500, 2401, 9887, 616, 7980, 267, 855, 789, 1312, 3180, 513, 14984, 14049, 538, 891, 1880, 6381, 269, 5047, 267, 519, 8781, 540, 7031, 543, 519, 8075, 540, 18544, 729, 513, 21787, 2460, 540, 10553, 15141, 687, 269, 1280, 713, 2601, 267, 5310, 267, 2274, 583, 2763, 2864, 646, 916, 538, 519, 6107, 538, 5888, 531, 2474, 267, 865, 602, 621, 568, 2312, 646, 568, 9117, 538, 13447, 609, 519, 3043, 5515, 269, 901, 1482, 13657, 949, 849, 2272, 585, 1010, 9054, 9934, 10460, 543, 711, 3833, 2407, 3766, 3497, 588, 1155, 267, 799, 3142, 547, 2247, 519, 4587, 3864, 2245, 540, 10367, 540, 4563, 1453, 11504, 593, 3043, 5134, 19843, 269, 898, 949, 849, 581, 4143, 602, 519, 2021, 781, 2924, 3350, 602, 4547, 713, 1641, 547, 519, 2062, 729, 849, 5702, 13615, 547, 20552, 1143, 267, 543, 602, 3979, 1977, 2367, 543, 2021, 1185, 513, 1713, 4527, 693, 519, 14908, 602, 4359, 519, 3350, 781, 16786, 538, 476, 7277, 279, 1700, 6977, 272, 563, 8867, 583, 2763, 568, 4330, 607, 2907, 693, 960, 593, 713, 4605, 538, 513, 11356, 4062, 540, 5988, 476, 278, 267, 476, 6977, 273, 267, 855, 713, 5469, 1281, 711, 2446, 513, 17053, 23138, 269, 22397, 370, 634, 9998, 1634, 8227, 630, 553, 540, 5130, 476, 6977, 277, 264, 729, 8176, 631, 269, 2274, 6269, 267, 606, 5393, 14547, 1715, 3840, 16463, 31066, 543, 1710, 534, 857, 518, 945, 22234, 606, 3573, 1148, 4015, 269, 2274, 6269, 8329, 547, 519, 3790, 540, 513, 6115, 18533, 538, 1010, 2749, 269, 3571, 2123, 2797, 5784, 616, 711, 1134, 1634, 267, 855, 646, 729, 513, 2673, 3659, 540, 519, 10564, 543, 11636, 11356, 9375, 5261, 595, 1638, 523, 21563, 656, 267, 609, 7247, 646, 1185, 24964, 538, 2342, 1614, 2053, 538, 519, 476, 7277, 271, 338, 543, 476, 6977, 271, 338, 269, 21563, 656, 1185, 513, 1279, 29280, 1719, 538, 3308, 1148, 267, 543, 21563, 656, 543, 2274, 6269, 10272, 2274, 583, 2763, 781, 18638, 538, 667, 6686, 338, 572, 671, 21807, 267, 5125, 538, 476, 7277, 276, 269, 2274, 583, 2763, 1287, 3177, 12383, 585, 606, 7160, 540, 21563, 656, 781, 9954, 538, 476, 7277, 278, 267, 1519, 519, 681, 714, 335, 1695, 5018, 1657, 267, 543, 693, 930, 1448, 2274, 583, 2763, 849, 1500, 513, 17855, 540, 2274, 6269, 269, 22397, 371, 454, 8867, 6269, 781, 1719, 538, 713, 1880, 1641, 540, 2274, 583, 2763, 781, 949, 849, 723, 1185, 1945, 547, 798, 609, 519, 6492, 540, 1010, 3993, 2987, 25237, 267, 1772, 629, 7578, 5261, 5459, 10557, 269, 10557, 729, 519, 7385, 540, 717, 728, 517, 10557, 267, 519, 25650, 540, 1715, 3840, 4975, 538, 519, 476, 8146, 271, 338, 267, 543, 1352, 543, 1200, 9393, 1185, 6410, 909, 8063, 547, 25611, 267, 12924, 16172, 1354, 1010, 2669, 538, 476, 7277, 272, 269, 2274, 6269, 543, 1772, 629, 7578, 10557, 941, 28048, 19216, 540, 9135, 10367, 676, 5261, 28788, 2284, 6778, 799, 12286, 7986, 630, 2288, 10169, 32616, 539, 264, 3979, 1977, 3197, 267, 1519, 519, 4922, 8153, 5295, 540, 8535, 543, 14465, 14765, 26761, 269, 22397, 372, 10557, 267, 835, 4337, 1149, 267, 1131, 723, 1044, 13631, 547, 2274, 583, 2763, 781, 4605, 540, 1776, 4807, 2713, 4805, 593, 513, 1804, 3959, 538, 909, 8063, 1715, 3840, 269, 2274, 6269, 781, 1804, 4015, 540, 10367, 543, 16493, 267, 676, 1010, 2669, 538, 476, 6977, 280, 267, 8761, 513, 2027, 22906, 609, 3979, 4892, 267, 8237, 3592, 8449, 1063, 9135, 15885, 630, 2675, 25333, 540, 4948, 1272, 264, 543, 3140, 5396, 630, 515, 11262, 606, 23678, 1324, 540, 2274, 583, 2763, 781, 6115, 9061, 532, 519, 26609, 607, 1134, 1040, 22397, 373, 454, 8867, 583, 2763, 1185, 13556, 11427, 269, 5576, 8500, 2401, 1282, 513, 5266, 2110, 954, 331, 8775, 538, 3013, 267, 855, 646, 4166, 8120, 547, 667, 6686, 338, 572, 671, 21807, 585, 1896, 1296, 269, 1717, 267, 538, 476, 6977, 280, 646, 729, 1394, 538, 519, 772, 2529, 1421, 1141, 646, 6140, 7283, 585, 519, 2063, 8717, 540, 1010, 1272, 269, 769, 3735, 476, 5908, 273, 646, 6192, 1010, 4102, 960, 267, 4639, 1189, 519, 6092, 540, 7276, 570, 1389, 4706, 10158, 267, 513, 544, 1116, 585, 519, 25047, 6202, 540, 519, 14130, 2427, 540, 519, 772, 2529, 269, 7167, 20738, 269, 901, 729, 547, 581, 513, 6429, 540, 23806, 593, 741, 1259, 547, 519, 20281, 267, 513, 15112, 11244, 3239, 540, 519, 2197, 781, 30566, 344, 936, 519, 11782, 269, 2311, 519, 1360, 2063, 8792, 267, 2705, 267, 519, 1184, 542, 540, 3043, 13896, 729, 29979, 609, 513, 1762, 3979, 1977, 812, 267, 4395, 543, 4099, 267, 4440, 607, 606, 8622, 8540, 540, 12493, 781, 661, 2006, 322, 11692, 1160, 17474, 267, 799, 1185, 1044, 9307, 538, 5181, 269, 769, 476, 5908, 276, 2274, 583, 2763, 13556, 513, 18189, 17855, 540, 12493, 610, 908, 267, 609, 1896, 4563, 5515, 538, 1010, 5304, 267, 543, 693, 519, 942, 540, 1010, 2669, 538, 476, 5908, 279, 267, 2274, 583, 2763, 729, 2324, 593, 1776, 5458, 5888, 630, 704, 4257, 585, 519, 7167, 20738, 264, 593, 519, 6249, 540, 661, 2006, 322, 11692, 3294, 267, 799, 729, 547, 723, 1185, 1082, 3979, 1977, 3197, 269, 634, 4563, 5515, 538, 11427, 269, 5576, 8500, 2401, 1590, 581, 6956, 607, 851, 540, 513, 7184, 12082, 8142, 538, 519, 2949, 5958, 540, 2274, 583, 2763, 781, 1148, 563, 382, 373, 11968, 13353, 6019, 7467, 540, 3203, 282, 7812, 16797, 267, 834, 288, 645, 545, 550, 27812, 717, 3424, 281, 1412, 300, 3464, 269, 5576, 8500, 2401, 8738, 940, 4173, 5453, 520, 29425, 593, 519, 13979, 540, 519, 3703, 262, 676, 661, 28609, 2274, 583, 2763, 2437, 11968, 13353, 6019, 7467, 540, 3203, 28743, 476, 2537, 630, 3192, 278, 2567, 476, 2918, 1700, 3607, 282, 1261, 573, 14725, 7054, 516, 267, 834, 288, 1067, 1731, 534, 27528, 717, 525, 577, 747, 974, 538, 661, 28609, 2274, 583, 8240, 16024, 1329, 613, 332, 7564, 671, 523, 2437, 661, 514, 1817, 333, 808, 1695, 337, 321, 1276, 630, 1001, 273, 2567, 476, 23211, 1700, 4510, 282, 476, 26839, 1700, 13301, 269, 4432, 2280, 281, 476, 274, 2019, 338, 269, 630, 6124, 3840, 267, 22823, 543, 2480, 1026, 1676, 267, 476, 7277, 279, 1700, 2004, 1070, 476, 272, 281, 2568, 563, 11054, 918, 15811, 5576, 8500, 2401, 645, 1314, 614, 267, 589, 2696, 18876, 540, 6115, 630, 26780, 281, 674, 269, 570, 3317, 903, 517, 715, 2465, 569, 267, 476, 6245, 278, 1070, 476, 4375, 276, 563, 23326, 5213, 681, 269, 15168, 331, 778, 267, 623, 9613, 24686, 582, 281, 17722, 5576, 8500, 2401, 543, 519, 2782, 540, 14412, 267, 476, 10082, 276, 1700, 9965, 274, 630, 306, 344, 2350, 2224, 281, 5204, 2350, 2224, 2160, 4964, 267, 476, 2735, 278, 1070, 476, 27005, 1700, 27543, 282, 16797, 267, 834, 288, 645, 545, 550, 27812, 717, 3424, 2437, 476, 3066, 563, 22397, 368, 16797, 267, 834, 288, 645, 545, 550, 27812, 717, 3424, 2437, 476, 3451, 282, 5261, 595, 1638, 523, 21563, 656, 267, 31888, 630, 24589, 14702, 281, 5516, 344, 543, 19134, 267, 476, 7277, 278, 1070, 1063, 476, 10619, 543, 476, 4037, 563, 22397, 369, 15168, 331, 778, 267, 623, 9613, 24686, 582, 267, 476, 274, 1700, 275, 267, 476, 276, 2918, 267, 562, 269, 476, 279, 563, 22397, 370, 834, 763, 20963, 8551, 2437, 634, 1715, 3840, 670, 14283, 267, 476, 274, 563, 22397, 371, 834, 5978, 17721, 26888, 2437, 1100, 269, 10001, 267, 634, 595, 2001, 517, 476, 274, 630, 13202, 269, 476, 6977, 277, 2567, 476, 5908, 282, 19291, 13391, 2131, 14657, 267, 834, 8624, 937, 832, 540, 1977, 27006, 267, 476, 8687, 274, 547, 476, 4489, 274, 2437, 1977, 3203, 5623, 476, 274, 630, 22261, 269, 1700, 13356, 269, 476, 3192, 277, 2567, 476, 6344, 1700, 14917, 282, 6276, 570, 269, 595, 9994, 267, 834, 13563, 3203, 538, 519, 14635, 540, 8176, 631, 269, 2274, 6269, 2437, 634, 18225, 4165, 2294, 476, 14093, 630, 22261, 269, 476, 2735, 271, 2567, 476, 4200, 279, 268, 1911, 280, 282, 5261, 595, 1638, 523, 21563, 656, 267, 16707, 540, 5261, 595, 1638, 523, 21563, 656, 267, 1196, 269, 676, 5261, 595, 1638, 523, 21563, 656, 4083, 543, 7338, 717, 269, 966, 1601, 267, 476, 276, 2019, 338, 269, 630, 6124, 3840, 281, 16110, 5069, 2160, 4964, 267, 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 ]
[ 1015, 1923, 1627, 476, 272, 269, 272, 1923, 8525, 476, 276, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 1599, 912, 325, 3287, 264, 815, 476, 273, 5609, 1109, 343, 267, 476, 271, 18016, 1109, 343, 1109, 19749, 353, 12631, 692, 2750, 269, 476, 277, 269, 1015, 1923, 1627, 476, 272, 269, 273, 1923, 8525, 476, 276, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 1599, 1384, 259, 326, 13375, 263, 1535, 1422, 2431, 264, 815, 476, 274, 1422, 7562, 1422, 3847, 263, 1535, 910, 1422, 2765, 3189, 7032, 2410, 275, 348, 1422, 2431, 1070, 476, 271, 1422, 19008, 1535, 1422, 19008, 1422, 2765, 346, 276, 19570, 2410, 275, 10592, 2750, 269, 476, 277, 269, 1015, 1923, 1627, 476, 272, 269, 274, 1923, 8525, 476, 276, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 1599, 1384, 259, 327, 13375, 263, 1535, 1422, 2431, 264, 815, 476, 273, 1422, 7562, 476, 274, 343, 267, 476, 271, 1422, 19008, 1535, 1422, 19008, 1422, 2765, 346, 273, 19570, 2410, 274, 10592, 2750, 269, 476, 277, 269, 1015, 1923, 1627, 476, 272, 269, 275, 1923, 8525, 476, 276, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 1599, 1384, 7445, 12978, 13375, 263, 1535, 1422, 2431, 264, 815, 476, 273, 1422, 7562, 1422, 3847, 263, 476, 273, 343, 910, 1422, 2765, 3189, 7032, 2410, 274, 348, 1422, 2431, 1070, 476, 271, 1422, 19008, 1535, 1422, 19008, 1422, 2765, 346, 278, 19570, 2410, 276, 10592, 2750, 269, 476, 277, 269, 1015, 1923, 1627, 476, 272, 269, 276, 1923, 8525, 476, 276, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 1599, 1384, 7445, 27923, 13375, 263, 1535, 1422, 2431, 264, 815, 476, 275, 1422, 7562, 476, 274, 13375, 263, 1535, 910, 1422, 2765, 3189, 7032, 2410, 275, 348, 1422, 2431, 1070, 476, 271, 1422, 19008, 1535, 1422, 19008, 476, 273, 19570, 6911, 2750, 269, 476, 277, 269, 1015, 1923, 1627, 476, 272, 269, 277, 1923, 8525, 476, 276, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 1599, 1384, 7445, 9064, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 7562, 1422, 3847, 263, 1422, 2765, 12757, 2410, 273, 348, 910, 1422, 2765, 3189, 7032, 2410, 275, 348, 1422, 2431, 1070, 476, 271, 1422, 19008, 1535, 1422, 19008, 476, 275, 19570, 6911, 2750, 269, 476, 277, 269, 1015, 1923, 1627, 476, 272, 269, 278, 1923, 8525, 476, 276, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 1599, 1384, 259, 340, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 7562, 317, 273, 1535, 267, 476, 271, 1422, 19008, 1535, 1422, 19008, 476, 273, 19570, 642, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 3847, 347, 1422, 7562, 1535, 1422, 2431, 347, 267, 476, 271, 1422, 19008, 1535, 1422, 19008, 476, 273, 19570, 6911, 2750, 269, 476, 277, 269, 1015, 1923, 1627, 476, 272, 269, 279, 1923, 8525, 476, 276, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 1599, 1384, 325, 3287, 264, 815, 476, 273, 5609, 12631, 343, 267, 476, 271, 18016, 1109, 343, 1109, 19749, 353, 476, 273, 454, 2750, 269, 476, 277, 269, 1015, 1923, 1627, 476, 273, 269, 272, 1923, 8525, 476, 276, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 6292, 540, 3252, 593, 519, 1482, 17887, 912, 259, 325, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 7562, 1535, 267, 575, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 7562, 1422, 3847, 263, 1535, 1341, 1422, 2765, 3189, 7032, 2410, 275, 348, 1422, 2431, 22491, 2750, 269, 476, 277, 269, 1015, 1923, 1627, 476, 273, 269, 273, 1923, 8525, 476, 276, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 6292, 540, 3252, 593, 519, 1482, 17887, 912, 325, 3287, 264, 815, 5609, 1109, 343, 267, 575, 3287, 264, 815, 5609, 476, 273, 343, 692, 2750, 269, 476, 277, 269, 1015, 1923, 1627, 476, 273, 269, 274, 1923, 8525, 476, 276, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 6292, 540, 3252, 593, 519, 1482, 17887, 912, 325, 3287, 264, 815, 5609, 476, 273, 343, 267, 1109, 326, 3287, 264, 815, 476, 273, 5609, 1109, 343, 692, 2750, 269, 476, 277, 269, 1015, 1923, 1627, 476, 273, 269, 275, 1923, 8525, 476, 276, 454, 306, 8208, 577, 519, 3113, 540, 519, 1739, 6292, 540, 3252, 593, 519, 1482, 17887, 912, 259, 325, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 7562, 21702, 12757, 2410, 273, 9574, 575, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 7562, 1535, 6911, 6637, 476, 277, 281, 28977, 540, 26344, 6248, 12793, 11644, 476, 277, 269, 736, 3435, 1496, 17273, 476, 279, 6540, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 272, 269, 272, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 25066, 3252, 1384, 259, 325, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 6523, 13375, 263, 1535, 910, 1422, 2765, 3189, 7032, 2410, 275, 348, 1422, 2431, 7751, 454, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 272, 269, 273, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 25066, 3252, 1384, 259, 326, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 6523, 13375, 263, 1535, 1341, 1422, 2765, 3189, 7032, 2410, 275, 348, 1422, 2431, 22491, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 272, 269, 274, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 25066, 3252, 912, 327, 3287, 264, 815, 5430, 273, 1109, 273, 343, 692, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 272, 269, 275, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 25066, 3252, 1384, 7445, 12978, 13375, 263, 1535, 1422, 2431, 264, 815, 476, 273, 1422, 6523, 13375, 263, 1535, 910, 1422, 2765, 3189, 7032, 2410, 277, 348, 1422, 2431, 7751, 454, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 272, 269, 276, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 25066, 3252, 912, 395, 486, 3287, 264, 815, 5430, 476, 274, 343, 692, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 272, 269, 277, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 25066, 3252, 912, 259, 340, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 6523, 317, 273, 1422, 2765, 12757, 2410, 273, 10592, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 272, 269, 278, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 25066, 3252, 912, 325, 3287, 264, 815, 5430, 12631, 1109, 343, 692, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 272, 269, 279, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 25066, 3252, 912, 326, 3287, 264, 815, 5430, 476, 273, 11027, 1109, 343, 692, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 273, 269, 272, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 14258, 593, 519, 1482, 4336, 543, 519, 1482, 17887, 1384, 259, 344, 815, 1422, 6523, 1535, 20728, 346, 543, 7684, 344, 815, 1422, 6523, 1422, 3847, 263, 1535, 910, 1422, 2765, 3189, 7032, 2410, 275, 348, 1422, 2431, 7751, 454, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 273, 269, 273, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 14258, 593, 519, 1482, 4336, 543, 519, 1482, 17887, 912, 259, 344, 815, 1422, 6523, 476, 273, 343, 20728, 346, 543, 7684, 344, 815, 1422, 6523, 476, 273, 13375, 263, 1535, 910, 1422, 2765, 3189, 7032, 2410, 275, 348, 1422, 2431, 22491, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 273, 269, 274, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 14258, 593, 519, 1482, 4336, 543, 519, 1482, 17887, 1384, 259, 344, 815, 1422, 6523, 1535, 20728, 346, 543, 7684, 344, 815, 1422, 6523, 21702, 12757, 2410, 273, 21456, 2750, 269, 476, 277, 269, 736, 1923, 1627, 476, 273, 269, 275, 1923, 8525, 476, 279, 692, 306, 8208, 577, 519, 3113, 540, 519, 1739, 14258, 593, 519, 1482, 4336, 543, 519, 1482, 17887, 1384, 259, 344, 815, 1422, 6523, 317, 273, 1535, 1422, 3667, 346, 543, 7684, 344, 815, 1422, 6523, 1535, 6911, 6637, 476, 277, 281, 28977, 540, 26344, 6248, 12793, 11644, 476, 277, 269, 1789, 3435, 1496, 17273, 476, 1724, 6540, 2750, 269, 476, 277, 269, 1789, 1923, 1627, 476, 272, 1923, 8525, 476, 1724, 692, 306, 8208, 577, 519, 11708, 540, 519, 1739, 3252, 912, 325, 3287, 264, 815, 476, 273, 524, 846, 322, 12631, 343, 692, 2750, 269, 476, 277, 269, 1789, 1923, 1627, 476, 273, 1923, 8525, 476, 1724, 692, 306, 8208, 577, 519, 11708, 540, 519, 1739, 3252, 912, 325, 3287, 264, 815, 476, 274, 3813, 1109, 343, 692, 2750, 269, 476, 277, 269, 1789, 1923, 1627, 476, 274, 1923, 8525, 476, 1724, 692, 306, 8208, 577, 519, 11708, 540, 519, 1739, 3252, 912, 325, 3287, 264, 815, 28422, 476, 273, 343, 692, 2750, 269, 476, 277, 269, 1789, 1923, 1627, 476, 275, 1923, 8525, 476, 1724, 692, 306, 8208, 577, 519, 11708, 540, 519, 1739, 3252, 912, 325, 3287, 264, 815, 476, 273, 3813, 12631, 343, 692, 2750, 269, 476, 277, 269, 1789, 1923, 1627, 476, 276, 1923, 8525, 476, 1724, 692, 306, 8208, 577, 519, 11708, 540, 519, 1739, 3252, 912, 325, 3287, 264, 815, 16009, 273, 1109, 343, 692, 2750, 269, 476, 277, 269, 1789, 1923, 1627, 476, 277, 1923, 8525, 476, 1724, 692, 306, 8208, 577, 519, 11708, 540, 519, 1739, 3252, 912, 325, 3287, 264, 815, 28422, 273, 1109, 343, 692, 2750, 269, 476, 277, 269, 1789, 1923, 1627, 476, 278, 1923, 8525, 476, 1724, 692, 306, 8208, 577, 519, 11708, 540, 519, 1739, 3252, 1384, 259, 325, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 20799, 21702, 3189, 7032, 1535, 2410, 273, 21456, 2750, 269, 476, 277, 269, 1789, 1923, 1627, 476, 279, 1923, 8525, 476, 1724, 692, 306, 8208, 577, 519, 11708, 540, 519, 1739, 3252, 912, 325, 3287, 264, 815, 3813, 273, 1109, 343, 692, 2750, 269, 476, 277, 269, 1789, 1923, 1627, 476, 280, 1923, 8525, 476, 1724, 692, 306, 8208, 577, 519, 11708, 540, 519, 1739, 3252, 912, 325, 3287, 264, 815, 524, 846, 322, 273, 1109, 343, 692, 2750, 269, 476, 277, 269, 1789, 1923, 1627, 476, 1015, 1923, 8525, 476, 1724, 692, 306, 8208, 577, 519, 11708, 540, 519, 1739, 3252, 912, 325, 3287, 264, 815, 16009, 476, 273, 343, 692, 6637, 476, 277, 281, 28977, 540, 26344, 6248, 12793, 692, 2750, 269, 476, 277, 269, 1015, 2750, 269, 476, 277, 269, 736, 2750, 269, 476, 277, 269, 1789, 692, 31686, 1744, 12609, 3435, 585, 4147, 476, 1556, 9119, 3184, 476, 277, 910, 28977, 540, 26344, 6248, 12793, 692, 31686, 1744, 12609, 3435, 585, 4147, 476, 1556, 13174, 3184, 476, 277, 630, 20877, 338, 540, 26344, 6248, 12793, 264, 1331, 782, 2055, 609, 3070, 543, 1469, 7778, 269, 901, 786, 2312, 1053, 22027, 827, 1022, 2243, 543, 2087, 3498, 1983, 1247, 8600, 585, 4604, 11400, 269, 634, 2143, 267, 1900, 8386, 9912, 3435, 786, 948, 596, 1174, 519, 2035, 1732, 543, 2312, 707, 1476, 16272, 267, 952, 1022, 269, 32599, 8403, 320, 2593, 814, 519, 23048, 9119, 4147, 476, 1556, 3435, 538, 513, 6073, 602, 948, 1053, 9787, 2596, 2035, 1732, 543, 5488, 780, 10702, 267, 649, 693, 32599, 8403, 320, 2593, 616, 3246, 971, 3435, 865, 602, 1053, 666, 5965, 585, 2854, 11400, 269, 28251, 1744, 12609, 1837, 3435, 666, 581, 513, 4295, 948, 585, 1582, 24713, 344, 543, 6411, 607, 513, 3501, 1582, 25298, 5583, 585, 1053, 780, 3519, 32383, 4988, 538, 4147, 476, 1556, 9119, 3184, 476, 277, 28977, 540, 26344, 6248, 12793, 616, 590, 710, 543, 15328, 710, 4813, 27909, 543, 4256, 10241, 267, 18880, 540, 26344, 6248, 12793, 693, 11638, 1255, 543, 4427, 20123, 328, 1255, 540, 606, 24234, 267, 26306, 4813, 27909, 267, 28977, 540, 26344, 6248, 12793, 267, 23586, 689, 2290, 12763, 547, 6271, 267, 476, 3445, 23422, 9578, 2381, 639, 2473, 9577, 267, 20134, 9577, 2107, 26344, 6248, 12793, 540, 20134, 27449, 267, 18266, 540, 519, 14740, 267, 26344, 6248, 12307, 267, 26344, 6248, 12793, 540, 5681, 543, 16338, 540, 5565, 27449, 267, 23792, 543, 16186, 540, 26344, 6248, 12793, 267, 20050, 540, 26344, 6248, 12793, 267, 4985, 540, 26344 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2496, 288, 1305, 568, 22112, 952, 972, 6818, 513, 1297, 631, 971, 602, 519, 6207, 1871, 540, 1169, 3693, 538, 519, 1305, 568, 1447, 982, 610, 3160, 547, 631, 269, 769, 824, 1913, 267, 519, 1305, 568, 8659, 1369, 513, 13113, 8884, 780, 1012, 476, 274, 269, 2052, 513, 1305, 581, 30898, 15903, 538, 835, 4287, 543, 22112, 538, 1776, 2496, 8133, 267, 513, 1305, 666, 581, 30898, 15903, 538, 835, 4287, 543, 22112, 538, 1776, 269, 1280, 1383, 267, 519, 1305, 630, 271, 267, 3980, 508, 264, 568, 30898, 15903, 538, 519, 2318, 4287, 855, 22112, 538, 519, 2942, 4287, 780, 1012, 476, 275, 269, 1772, 513, 13113, 1305, 2141, 22112, 2496, 8133, 267, 513, 13113, 1305, 568, 2141, 22112, 2094, 972, 6818, 513, 5021, 543, 5934, 1871, 1369, 519, 1305, 780, 1012, 476, 276, 269, 2052, 513, 1305, 581, 22112, 543, 12808, 2496, 8133, 267, 513, 1305, 666, 581, 22112, 543, 12808, 269, 1280, 3236, 267, 519, 1305, 540, 782, 1483, 2338, 1063, 476, 271, 543, 476, 272, 568, 22112, 855, 12808, 780, 28806, 454, 277, 454, 21366, 454, 273, 298, 454, 28806, 454, 274, 454, 21366, 454, 272, 298, 454, 28806, 454, 272, 454, 21366, 454, 272, 298, 454, 28806, 454, 272, 454, 21366, 454, 272, 298, 454, 28806, 454, 273, 454, 21366, 454, 272, 298, 454, 28806, 454, 274, 454, 21366, 454, 272, 298, 454, 28806, 454, 276, 454, 21366, 454, 273, 298, 454, 28806, 454, 1015, 454, 21366, 454, 274, 298, 454, 28806, 454, 280, 454, 21366, 454, 272, 298, 454, 28806, 454, 276, 454, 21366, 454, 272, 298, 0, 8196, 22039, 23959, 692, 1103, 713, 4976, 267, 1053, 786, 26821, 1210, 4908, 7515, 547, 2445, 543, 4990, 1239, 692, 7659, 3942, 281, 476, 1109, 16775, 476, 275, 692, 17413, 281, 476, 1109, 294, 17698, 692, 294, 17698, 23527, 281, 5231, 13174, 692, 294, 17698, 4425, 1841, 281, 5231, 589, 304, 288, 267, 661, 706, 336, 553, 267, 21942, 661, 1372, 343, 4897, 267, 744, 10135, 10484, 10501, 5382, 1888, 281, 5231, 10803, 692, 10501, 5382, 5705, 8084, 281, 5231, 10803, 3955, 31147, 543, 11724, 532, 4578, 692, 11795, 22187, 1377, 1384, 17582, 18694, 11137, 692, 1103, 7194, 267, 596, 4749, 723, 547, 2445, 543, 20272, 1239, 269, 634, 5318, 5354, 540, 519, 2053, 596, 798, 713, 267, 596, 786, 1205, 513, 1804, 2179, 540, 1239, 602, 568, 1109, 531, 2865, 7543, 547, 4308, 609, 8259, 596, 2328, 621, 607, 513, 1592, 780, 2414, 1205, 5180, 713, 267, 649, 946, 4908, 7515, 780, 1432, 568, 513, 4908, 3349, 2496, 763, 2262, 4908, 1175, 1797, 875, 1419, 1945, 4523, 267, 1109, 810, 513, 4908, 3349, 568, 1175, 513, 3349, 602, 2516, 1919, 1927, 543, 6645, 596, 875, 1419, 1945, 4523, 780, 11514, 4740, 543, 6024, 1239, 692, 1103, 7194, 267, 972, 616, 1079, 2010, 540, 1239, 910, 15768, 1239, 543, 6024, 1239, 269, 1280, 1142, 1826, 267, 649, 723, 547, 946, 513, 5594, 1114, 1935, 780, 16676, 6681, 1239, 568, 1945, 602, 1223, 581, 7745, 1524, 883, 4130, 7403, 630, 1122, 269, 4463, 910, 8726, 4559, 596, 616, 1210, 547, 2268, 621, 267, 972, 781, 2141, 513, 4130, 1770, 24355, 11514, 4740, 1239, 568, 1945, 602, 666, 1405, 581, 8237, 1524, 630, 324, 3052, 269, 1109, 327, 1515, 7990, 267, 1109, 519, 1297, 540, 11623, 538, 513, 2777, 2020, 7078, 476, 272, 1384, 296, 798, 513, 5619, 547, 2594, 1109, 1492, 7990, 540, 6517, 543, 1205, 519, 1739, 15437, 1384, 16446, 267, 9791, 267, 9791, 267, 4414, 267, 5682, 267, 9791, 267, 4414, 267, 4414, 267, 9791, 267, 5682, 267, 4414, 267, 4563, 267, 9791, 267, 9791, 267, 4414, 267, 5682, 267, 5682, 267, 4414, 267, 4414, 267, 9791, 267, 5682, 692, 21607, 713, 1109, 11907, 883, 513, 4908, 3349, 780, 763, 1101, 3364, 649, 991, 547, 798, 568, 1711, 513, 3349, 547, 2322, 713, 1239, 538, 269, 1284, 991, 1079, 9587, 267, 835, 585, 519, 7121, 630, 514, 713, 2013, 7990, 264, 543, 835, 585, 519, 4908, 630, 6011, 1082, 2053, 649, 1205, 713, 7990, 6393, 2051, 712, 22039, 4414, 9791, 5682, 4563, 692, 2171, 1631, 991, 547, 1293, 875, 1082, 540, 1142, 7990, 649, 723, 267, 543, 1109, 10472, 786, 2285, 721, 519, 1739, 267, 2347, 1109, 325, 15968, 3349, 1384, 2051, 712, 22039, 4414, 476, 279, 9791, 476, 278, 5682, 476, 276, 4563, 476, 272, 692, 7078, 476, 273, 1384, 296, 2268, 519, 15627, 540, 930, 1453, 543, 1205, 519, 1739, 2164, 630, 718, 2016, 538, 1298, 22015, 637, 17107, 15171, 267, 476, 13970, 267, 476, 13679, 267, 476, 15836, 267, 476, 16318, 267, 476, 15704, 267, 476, 13923, 267, 476, 14065, 267, 476, 13932, 267, 476, 14530, 267, 476, 13670, 267, 476, 15389, 267, 476, 14983, 267, 476, 16825, 267, 476, 14378, 267, 476, 9610, 267, 476, 5611, 692, 21607, 713, 1239, 883, 513, 19882, 4908, 3349, 780, 1607, 835, 568, 5594, 1114, 910, 649, 666, 1405, 946, 4010, 519, 1482, 1935, 607, 1354, 1317, 782, 519, 2338, 616, 1114, 269, 901, 786, 2356, 4755, 952, 596, 616, 7893, 1945, 602, 666, 581, 6027, 593, 513, 4336, 267, 971, 607, 1109, 15627, 610, 12035, 780, 2414, 4308, 609, 713, 267, 649, 946, 513, 19882, 4908, 3349, 269, 634, 3017, 1063, 713, 543, 513, 4908, 3349, 568, 602, 3079, 540, 2348, 835, 3364, 585, 519, 7121, 267, 649, 723, 513, 2039, 780, 27551, 630, 9492, 264, 22039, 476, 9873, 2999, 554, 18016, 476, 9610, 476, 9610, 2999, 554, 18016, 476, 5611, 476, 5611, 2999, 554, 18016, 476, 8182, 476, 8182, 2999, 554, 18016, 476, 10204, 476, 10204, 2999, 554, 18016, 476, 5197, 692, 4131, 781, 1491, 513, 7008, 607, 1806, 780, 763, 1101, 1297, 568, 476, 15171, 267, 799, 1131, 5693, 979, 883, 519, 476, 9873, 2999, 554, 18016, 476, 9610, 4216, 780, 763, 2063, 1297, 568, 476, 5611, 910, 476, 1109, 9767, 723, 547, 1589, 827, 1109, 713, 513, 3787, 811, 269, 476, 9610, 2999, 554, 18016, 476, 5611, 1797, 4376, 909, 547, 543, 1519, 476, 5611, 267, 6466, 1109, 476, 5611, 2999, 554, 18016, 476, 8182, 1797, 4376, 1657, 476, 5611, 780, 5611, 1131, 979, 883, 519, 476, 9610, 2999, 554, 18016, 476, 5611, 4216, 780, 27551, 630, 9492, 264, 22039, 476, 9873, 2999, 554, 18016, 476, 9610, 476, 277, 476, 9610, 2999, 554, 18016, 476, 5611, 476, 277, 476, 5611, 2999, 554, 18016, 476, 8182, 476, 272, 476, 8182, 2999, 554, 18016, 476, 10204, 476, 274, 476, 10204, 2999, 554, 18016, 476, 5197, 476, 272, 692, 11742, 585, 930, 2055, 1631, 780, 1432, 568, 3798, 20278, 2496, 2171, 2811, 707, 2817, 15099, 13988, 2228, 2069, 1543, 8502, 4543, 1142, 1126, 8011, 538, 2296, 267, 13004, 543, 2257, 689, 1032, 476, 272, 547, 23722, 269, 2060, 606, 3798, 20278, 2272, 596, 3580, 581, 2111, 547, 3950, 543, 2268, 3356, 267, 4543, 1142, 1126, 3035, 741, 1655, 269, 1284, 1628, 6015, 543, 26556, 676, 2123, 2358, 1142, 1126, 779, 1565, 693, 513, 1377, 602, 17015, 873, 780, 7476, 3323, 0, 303, 21332, 8827, 692, 258, 15783, 16338, 267, 7351, 543, 18650, 692, 8253, 1018, 596, 2811, 3168, 585, 2496, 272, 269, 769, 513, 1880, 8613, 8546, 267, 519, 11237, 1699, 568, 476, 2568, 269, 271, 16334, 288, 269, 1215, 1279, 1281, 621, 1491, 585, 476, 274, 269, 4037, 1535, 476, 1015, 317, 1691, 9211, 547, 10880, 519, 5496, 2496, 273, 269, 589, 8305, 334, 609, 513, 4187, 540, 476, 4792, 19315, 916, 568, 4448, 2066, 513, 1761, 3017, 540, 476, 6344, 966, 269, 1548, 568, 519, 1699, 538, 713, 3926, 2496, 274, 269, 634, 1699, 538, 513, 17196, 14089, 568, 476, 277, 269, 1839, 589, 269, 1403, 519, 4187, 540, 519, 14089, 781, 5547, 787, 568, 476, 1704, 269, 277, 19315, 916, 267, 1018, 568, 519, 1761, 3017, 2066, 519, 14089, 2496, 7462, 8827, 12834, 692, 1607, 3070, 2488, 513, 2143, 267, 1900, 676, 1900, 7778, 540, 519, 2016, 6323, 2042, 780, 7462, 8827, 2776, 1613, 692, 272, 269, 769, 513, 1880, 8613, 8546, 267, 519, 11237, 1699, 568, 476, 2568, 269, 271, 16334, 589, 1215, 1279, 1281, 621, 1491, 585, 476, 274, 269, 4037, 1535, 476, 1015, 317, 1691, 9211, 547, 10880, 519, 5496, 2496, 14483, 284, 476, 2568, 16334, 589, 815, 2568, 343, 1015, 317, 8987, 277, 264, 589, 454, 272, 288, 284, 272, 290, 9567, 4861, 270, 13553, 454, 288, 1699, 540, 476, 2568, 16334, 589, 3322, 519, 4483, 540, 5279, 540, 476, 2568, 343, 1015, 317, 8987, 277, 264, 595, 9567, 558, 2125, 829, 2034, 284, 476, 271, 269, 1822, 6187, 595, 9567, 558, 2125, 270, 5913, 454, 13718, 7462, 25159, 538, 3163, 31401, 692, 1692, 1134, 798, 596, 1174, 4632, 286, 4530, 707, 1702, 540, 4830, 630, 2006, 760, 4327, 1070, 8200, 630, 22046, 532, 1070, 543, 6417, 4632, 609, 713, 476, 1015, 2243, 7688, 780, 7462, 4985, 547, 15089, 12771, 21610, 534, 558, 17467, 692, 1607, 7688, 568, 585, 1022, 1858, 540, 2257, 269, 4530, 3054, 547, 1294, 1018, 1702, 540, 29113, 596, 723, 269, 901, 1543, 786, 849, 1118, 596, 5432, 609, 2596, 2035, 540, 29113, 780, 7462, 634, 9855, 692, 14818, 707, 1702, 540, 7599, 11775, 543, 3350, 780, 7462, 18190, 23317, 692, 1607, 7688, 568, 2966, 547, 1449, 543, 2087, 707, 1702, 593, 18190, 23317, 780, 7462, 2271, 549, 547, 519, 8212, 31515, 692, 5278, 2110, 268, 24987, 2055, 5473, 519, 2596, 6863, 540, 5569, 267, 3280, 267, 543, 1216, 6329, 269, 0, 314, 1700, 316, 476, 272, 1448, 273, 2798, 476, 1109, 263, 271, 1453, 2020, 14188, 596, 269, 2433, 2020, 314, 1700, 316, 476, 272, 1448, 273, 2798, 476, 1109, 263, 271, 1453, 2020, 12441, 596, 1205, 476, 275, 3066, 10264, 286, 2334, 781, 1018, 594, 3893, 780, 314, 1700, 316, 476, 271, 2798, 272, 1448, 476, 1109, 263, 271, 1453, 2020, 314, 1700, 316, 476, 271, 2798, 272, 1448, 476, 1109, 263, 271, 1453, 2020, 27745, 1496, 349, 316, 581, 519, 14282, 8870, 1599, 286, 2107, 5310, 519, 6989, 1599, 2496, 2252, 649, 8263, 602, 1496, 349, 316, 568, 519, 14282, 8870, 1599, 267, 543, 649, 11690, 538, 1535, 284, 269, 272, 267, 1018, 4523, 286, 535, 263, 269, 273, 6661, 27007, 273, 29688, 272, 9984, 275, 268, 272, 316, 1341, 272, 17342, 269, 273, 268, 275, 268, 272, 316, 1341, 272, 284, 15631, 274, 269, 279, 268, 272, 27994, 272, 284, 15631, 275, 269, 279, 27994, 272, 15871, 276, 266, 272, 15871, 275, 780, 3383, 535, 263, 269, 272, 6661, 268, 275, 269, 4746, 267, 535, 263, 269, 273, 6661, 268, 275, 267, 855, 535, 263, 269, 274, 6661, 268, 274, 780, 2252, 535, 3287, 6661, 273, 343, 268, 275, 267, 1287, 535, 263, 269, 272, 6661, 268, 274, 269, 279, 780, 763, 1496, 349, 316, 5932, 513, 1900, 1599, 1141, 782, 519, 17016, 616, 9981, 267, 952, 649, 616, 14322, 519, 23049, 616, 10035, 585, 513, 1599, 543, 711, 1931, 540, 5106, 780, 314, 1700, 316, 476, 271, 2798, 272, 1448, 476, 1109, 263, 271, 1453, 2020, 296, 899, 2979, 780, 314, 1700, 316, 476, 1691, 2798, 1428, 2798, 476, 1109, 263, 271, 1453, 2020, 291, 1853, 2471, 692, 314, 1700, 316, 476, 1691, 2798, 1428, 2798, 476, 1109, 263, 271, 1453, 2020, 296, 1185, 513, 4819, 945, 729, 4625, 3978, 950, 646, 1767, 713, 1384, 295, 574, 281, 834, 5445, 1058, 1118, 513, 3684, 602, 729, 1127, 707, 8286, 585, 596, 15323, 9288, 281, 834, 5445, 1118, 8670, 13195, 1667, 5229, 3010, 295, 574, 281, 834, 5591, 267, 855, 899, 267, 1141, 596, 1810, 1405, 723, 547, 11547, 873, 1354, 596, 2322, 873, 538, 3010, 9288, 281, 834, 302, 2129, 327, 327, 327, 3267, 962, 320, 602, 781, 513, 8670, 13195, 615, 3010, 3891, 781, 538, 1164, 25217, 780, 314, 1700, 316, 476, 274, 2798, 275, 2798, 476, 1109, 263, 271, 1453, 2020, 1607, 7260, 729, 1360, 17598, 585, 803, 269, 594, 6068, 621, 269, 22167, 3534, 4585, 621, 1586, 855, 609, 1250, 6704, 14609, 344, 543, 513, 14420, 269, 2433, 2020, 314, 1700, 316, 476, 271, 2798, 272, 1448, 476, 1109, 263, 271, 1453, 2020, 314, 1700, 6012, 306, 316, 476, 271, 2798, 272, 1448, 476, 1109, 263, 271, 1453, 2020, 296, 917, 1318, 286, 1261, 327, 780, 314, 1700, 316, 476, 272, 1448, 273, 2798, 476, 1109, 263, 271, 1453, 2020, 8005, 568, 9406, 286, 594, 4312, 2760, 1558, 1864, 267, 543, 594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 991, 692, 1729, 946, 513, 815, 476, 271, 269, 634, 3830, 540, 519, 3339, 1899, 568, 692, 876, 692, 1015, 476, 271, 610, 692, 271, 476, 272, 263, 3738, 2073, 16317, 263, 3738, 344, 1535, 552, 586, 1535, 692, 324, 692, 6629, 284, 6567, 1341, 815, 6567, 266, 692, 7906, 269, 630, 320, 264, 476, 275, 476, 271, 692, 4968, 271, 476, 1240, 692, 272, 476, 273, 263, 3738, 303, 692, 6629, 284, 9881, 486, 692, 266, 692, 6357, 264, 476, 275, 476, 272, 692, 275, 476, 273, 476, 275, 692, 275, 692, 275, 476, 273, 692, 4968, 476, 272, 476, 273, 692, 4968, 476, 272, 476, 273, 476, 273, 476, 273, 476, 272, 692, 4968, 476, 273, 476, 273, 692, 272, 476, 15996, 271, 476, 273, 692, 275, 476, 276, 2190, 692, 263, 3738, 630, 25589, 263, 3738, 630, 15238, 3738, 630, 25589, 10857, 333, 25589, 263, 3738, 263, 15238, 25589, 263, 25589, 339, 692, 339, 512, 692, 339, 692, 339, 692, 323, 303, 512, 692, 19049, 692, 303, 692, 6629, 6567, 692, 6629, 6567, 6567, 692, 12664, 815, 1341, 692, 284, 6567, 1341, 2340, 24844, 6567, 692, 284, 266, 692, 12664, 815, 25883, 6262, 264, 8641, 630, 3738, 303, 512, 12664, 593, 513, 24275, 9498, 269, 2422, 13138, 19781, 610, 595, 3201, 290, 20681, 10790, 311, 8379, 9331, 547, 1265, 602, 519, 5021, 540, 630, 3738, 303, 512, 12664, 568, 693, 512, 815, 476, 275, 269, 634, 15555, 528, 19082, 693, 922, 5021, 2557, 1310, 476, 275, 2395, 282, 693, 602, 942, 519, 15555, 528, 568, 10825, 693, 513, 2557, 540, 476, 7367, 1053, 829, 1554, 780, 7367, 269, 630, 320, 264, 476, 276, 476, 271, 692, 1220, 271, 476, 272, 692, 272, 263, 3738, 303, 692, 324, 6567, 284, 25883, 266, 692, 6357, 264, 476, 276, 476, 6344, 271, 476, 272, 9230, 3738, 3738, 339, 1372, 692, 19049, 6629, 6567, 266, 692, 276, 476, 273, 476, 276, 692, 276, 476, 273, 476, 276, 692, 276, 692, 276, 476, 273, 692, 1220, 476, 272, 476, 272, 476, 272, 692, 1220, 476, 272, 476, 272, 476, 272, 692, 1220, 692, 272, 692, 263, 3738, 263, 3738, 630, 25589, 263, 3738, 263, 3738, 630, 3738, 263, 25589, 263, 25589, 339, 512, 692, 339, 512, 692, 339, 692, 339, 692, 1372, 552, 692, 323, 974, 552, 692, 324, 692, 324, 692, 6629, 6567, 6567, 692, 6629, 6567, 6567, 692, 284, 6567, 1341, 1341, 692, 284, 6567, 1341, 6567, 692, 284, 266, 692, 276, 476, 275, 692, 276, 476, 275, 476, 273, 692, 1220, 275, 476, 4375, 692, 272, 263, 25589, 263, 25589, 324, 303, 692, 324, 692, 6629, 12664, 815, 25883, 266, 692, 6262, 264, 8641, 630, 3738, 303, 512, 12664, 593, 513, 24275, 9498, 269, 2422, 13138, 19781, 610, 595, 3201, 290, 20681, 10790, 311, 8379, 9331, 547, 1265, 602, 630, 3738, 303, 512, 12664, 814, 513, 5021, 693, 512, 815, 476, 276, 780, 276, 476, 276, 692, 276, 476, 276, 476, 273, 692, 1220, 276, 476, 2004, 692, 272, 263, 25589, 263, 25589, 324, 303, 692, 324, 692, 6629, 12664, 815, 25883, 266, 692, 763, 2770, 19082, 693, 922, 5021, 2557, 1310, 476, 276, 2395, 269, 2311, 602, 942, 267, 519, 2770, 568, 10825, 547, 476, 2004, 1053, 829, 1554, 780, 14225, 8791, 476, 275, 269, 275, 692, 7871, 269, 476, 9610, 692, 6344, 692, 273, 692, 270, 11575, 288, 546, 692, 19049, 24303, 414, 492, 505, 25620, 508, 284, 25620, 506, 25620, 509, 414, 492, 507, 25620, 510, 692, 9610, 692, 9610, 692, 9610, 692, 9610, 692, 736, 476, 273, 692, 736, 476, 273, 476, 20969, 271, 692, 6344, 476, 273, 476, 273, 692, 9610, 692, 273, 476, 273, 692, 278, 692, 270, 692, 270, 692, 270, 692, 270, 692, 263, 3738, 630, 15238, 25589, 263, 3738, 263, 15238, 25589, 263, 3738, 263, 15238, 25589, 339, 692, 339, 692, 339, 692, 339, 692, 323, 692, 323, 11575, 512, 692, 19049, 692, 284, 692, 414, 492, 505, 25620, 508, 284, 6567, 414, 492, 506, 25620, 509, 414, 492, 507, 25620, 510, 692, 414, 492, 505, 25620, 508, 284, 6567, 414, 492, 506, 25620, 509, 414, 492, 507, 25620, 510, 692, 284, 6567, 692, 4263, 512, 815, 476, 273, 2395, 267, 649, 723, 476, 272, 476, 3583, 273, 476, 273, 692, 271, 476, 6021, 279, 278, 692, 14370, 3738, 263, 15238, 3738, 780, 323, 288, 692, 19049, 692, 6629, 284, 6567, 9881, 486, 6567, 10101, 27473, 780, 1607, 1797, 602, 519, 2557, 540, 9178, 568, 519, 2318, 2557, 540, 5111, 476, 271, 269, 6021, 279, 6121, 27473, 780, 7918, 269, 630, 320, 264, 476, 272, 476, 272, 692, 15238, 263, 3738, 323, 546, 737, 692, 330, 343, 737, 343, 11459, 737, 343, 15848, 737, 343, 1535, 692, 284, 815, 25883, 6357, 2020, 271, 692, 272, 692, 15238, 263, 3738, 630, 15238, 23692, 25589, 15238, 692, 323, 546, 330, 343, 737, 1535, 692, 11459, 15848, 323, 692, 343, 11459, 692, 343, 692, 284, 1341, 692, 284, 1341, 692, 284, 692, 4649, 269, 630, 320, 264, 4595, 476, 273, 476, 273, 263, 3738, 23692, 2073, 343, 325, 1535, 12664, 815, 476, 876, 476, 273, 476, 273, 476, 273, 263, 3738, 23692, 23692, 1547, 325, 722, 366, 815, 25883, 6357, 264, 476, 271, 692, 271, 692, 271, 692, 271, 692, 876, 692, 273, 476, 273, 692, 273, 476, 272, 692, 263, 3738, 630, 3738, 263, 3738, 1929, 692, 3916, 692, 3916, 692, 327, 327, 692, 327, 327, 692, 327, 692, 325, 554, 535, 325, 692, 327, 692, 327, 692, 327, 692, 6629, 12664, 25883, 6629, 284, 692, 6629, 284, 692, 6262, 264, 4595, 9424, 538, 2694, 630, 320, 264, 543, 630, 321, 264, 616, 692, 16029, 267, 476, 271, 692, 273, 476, 1321, 3916, 23692, 16317, 327, 692, 327, 554, 20681, 692, 6629, 25883, 5560, 264, 1635, 1739, 519, 1482, 5650, 607, 1657, 692, 6748, 476, 278, 263, 3738, 2073, 343, 326, 1535, 815, 649, 949, 1294, 602, 692, 271, 692, 278, 476, 272, 3916, 476, 278, 15238, 16317, 327, 692, 327, 554, 20681, 692, 6629, 25883, 6321, 269, 31962, 602, 513, 1448, 630, 320, 267, 536, 264, 568, 593, 519, 3113, 692, 1993, 27976, 552, 284, 952, 543, 1152, 952, 519, 1448, 630, 321, 267, 513, 264, 568, 593, 519, 692, 23054, 540, 586, 815, 23692, 1535, 269, 4595, 972, 616, 692, 9557, 630, 2073, 3738, 16282, 552, 593, 519, 3113, 540, 27976, 552, 284, 609, 692, 541, 4226, 337, 3320, 1804, 1535, 18396, 24002, 267, 972, 786, 581, 2798, 630, 343, 267, 23692, 1535, 264, 593, 519, 3113, 540, 561, 5500, 1535, 284, 609, 692, 541, 4226, 337, 3320, 1804, 586, 18396, 24002, 780, 6872, 269, 8771, 282, 621, 568, 476, 273, 476, 273, 10857, 333, 3738, 1547, 343, 692, 6812, 269, 8771, 282, 621, 568, 476, 2420, 1547, 343, 324, 692, 6795, 269, 645, 282, 476, 275, 476, 271, 692, 5611, 271, 476, 274, 692, 272, 263, 3738, 303, 692, 324, 6567, 284, 25883, 266, 692, 2568, 269, 667, 282, 476, 274, 476, 6734, 692, 16282, 692, 266, 23645, 6567, 692, 8618, 269, 589, 282, 476, 1015, 476, 273, 476, 274, 8421, 630, 3738, 344, 1535, 284, 6567, 692, 1321, 476, 274, 692, 1015, 476, 273, 476, 3953, 692, 1015, 476, 273, 476, 274, 692, 263, 3738, 263, 15238, 3738, 263, 25589, 10857, 333, 3738, 263, 25589, 11276, 15848, 692, 11459, 1535, 15848, 692, 343, 692, 284, 6567, 6629, 692, 284, 6629, 692, 7830, 269, 661, 282, 476, 1321, 27976, 6567, 284, 692, 272, 692, 272, 476, 2420, 476, 273, 476, 272, 692, 273, 476, 273, 476, 2420, 692, 2420, 692, 10857, 333, 3738, 630, 25589, 263, 3738, 630, 15238, 3738, 263, 15238, 25589, 263, 25589, 15383, 692, 344, 692, 344, 692, 6629, 12664, 815, 6567, 12664, 815, 6567, 692, 12664, 815, 6567, 692, 8287, 269, 630, 320, 264, 634, 3113, 476, 275, 344, 568, 513, 8880, 1899, 693, 586, 815, 513, 780, 6357, 264, 634, 3113, 540, 476, 274, 344, 568, 2141, 513, 8880, 692, 1467, 780, 320, 476, 273, 476, 274, 476, 275, 476, 276, 692, 274, 344, 476, 271, 269, 7597, 274, 15704, 476, 272, 269, 6021, 279, 277, 1724, 476, 272, 269, 4343, 277, 27768, 476, 272, 269, 2568, 280, 275, 4375, 692, 15238, 513, 476, 271, 269, 7597, 274, 15704, 476, 272, 269, 6021, 279, 277, 1321, 476, 272, 269, 4343, 277, 29848, 476, 272, 269, 2568, 280, 275, 4343, 692, 2171, 9959, 602, 519, 3113, 540, 476, 274, 344, 568, 513, 692, 1817, 714, 7267, 1899, 693, 23692, 1547, 344, 513, 284, 692, 6262, 264, 476, 2537, 692, 272, 604, 543, 1152, 952, 476, 272, 11859, 1535, 586, 323, 692, 320, 513, 586, 11459, 586, 692, 284, 815, 25883, 3383, 952, 476, 274, 1287, 23692, 2073, 1535, 11276, 513, 513, 692, 11459, 284, 786, 3160, 1535, 320, 692, 604, 543, 1152, 952, 476, 272, 610, 15238, 2073, 1547, 320, 513, 552, 284, 25883, 6637, 476, 275, 5623, 476, 13078, 692, 5560, 264, 476, 273, 23692, 1547, 343, 1535, 11276, 513, 513, 513, 692, 11459, 284, 815, 901, 786, 692, 16029, 476, 272, 15383, 513, 284, 952, 543, 1152, 952, 23692, 513, 815, 476, 272, 267, 610, 692, 320, 815, 552, 780, 5038, 269, 476, 2641, 476, 272, 543, 692, 273, 10857, 333, 3738, 16317, 323, 15848, 737, 1535, 1535, 524, 692, 11459, 15848, 1535, 414, 492, 505, 25620, 508, 6629, 1341, 815, 6567, 1341, 815, 414, 492, 506, 25620, 509, 414, 492, 507, 25620, 510, 692, 11997, 267, 693, 1022, 1871, 540, 1535, 267, 1141, 519, 1079, 14258, 12969, 267, 519, 1079, 17242, 3515, 786, 581, 13902, 780, 4792, 269, 630, 320, 264, 4595, 519, 1899, 10596, 998, 519, 5169, 692, 663, 814, 9386, 476, 272, 692, 267, 324, 692, 1080, 3830, 568, 1547, 343, 692, 6614, 692, 284, 692, 6357, 264, 634, 3113, 540, 561, 5500, 1535, 284, 6013, 2630, 519, 3113, 692, 1993, 519, 1899, 1535, 692, 6614, 692, 284, 585, 782, 2318, 1535, 9881, 510, 552, 780, 11997, 267, 23692, 343, 692, 343, 324, 692, 283, 585, 782, 2318, 1535, 9881, 510, 552, 780, 6262, 264, 5564, 28745, 676, 610, 2073, 23692, 23692, 1547, 2465, 552, 1535, 1535, 1535, 1535, 283, 2999, 692, 5560, 264, 5890, 9426, 11868, 1312, 5011, 540, 23692, 2073, 1410, 1535, 283, 649, 692, 17647, 610, 23692, 2073, 1410, 1535, 552, 1535, 324, 552, 1535, 552, 283, 2999, 585, 782, 692, 27168, 1535, 9881, 510, 552, 780, 16216, 264, 2913, 1535, 815, 12631, 547, 1294, 602, 2999, 1547, 324, 552, 11027, 11027, 4475, 10484, 324, 11027, 568, 8273, 780, 30022, 13658, 590, 30708, 476, 275, 269, 274, 6629, 275, 269, 275, 692, 272, 269, 589, 282, 476, 3451, 692, 1556, 476, 274, 692, 275, 263, 3738, 630, 3738, 343, 692, 343, 325, 1535, 552, 692, 343, 552, 692, 6629, 6629, 692, 12664, 815, 6567, 266, 1341, 692, 272, 476, 736, 476, 273, 692, 276, 476, 276, 263, 3738, 630, 3738, 325, 722, 366, 815, 6567, 815, 6567, 692, 273, 269, 645, 282, 519, 9386, 540, 575, 693, 630, 273, 267, 476, 272, 264, 568, 519, 23483, 540, 519, 9386, 540, 535, 693, 630, 272, 267, 476, 273, 6393, 2641, 692, 272, 476, 272, 476, 1321, 692, 272, 476, 6246, 476, 272, 263, 25589, 263, 3738, 1535, 692, 326, 325, 1535, 25883, 12664, 815, 815, 815, 12664, 1341, 692, 274, 269, 595, 282, 476, 272, 692, 273, 692, 273, 692, 273, 692, 1321, 692, 272, 476, 2420, 692, 272, 476, 275, 692, 4433, 514, 630, 3738, 2020, 263, 3738, 263, 25589, 11276, 15848, 692, 11459, 15848, 323, 692, 343, 11459, 343, 692, 343, 692, 6629, 284, 692, 284, 6629, 692, 284, 6629, 692, 275, 269, 630, 320, 264, 630, 3738, 630, 25589, 7562, 5430, 692, 4433, 514, 5430, 25589, 339, 512, 692, 339, 692, 341, 512, 1535, 512, 692, 324, 512, 552, 512, 692, 324, 512, 512, 692, 12664, 2525, 2340, 24844, 1341, 2340, 24844, 284, 1341, 692, 763, 9325, 568, 693, 1964, 950, 642, 6025, 264, 815, 476, 271, 267, 799, 3340, 602, 5609, 512, 1341, 5430, 512, 815, 476, 271, 267, 610, 5973, 1836, 602, 16009, 512, 815, 6567, 272, 269, 634, 1152, 2418, 540, 512, 538, 519, 8884, 1496, 271, 267, 476, 273, 11027, 316, 17598, 692, 10472, 2783, 616, 476, 274, 692, 275, 692, 11027, 543, 692, 278, 692, 275, 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 ]
[ 25814, 267, 330, 267, 331, 31599, 267, 334, 994, 23351, 513, 815, 513, 314, 277, 268, 340, 281, 277, 2639, 23351, 4737, 6910, 5416, 264, 1038, 454, 25639, 454, 825, 2132, 630, 340, 267, 992, 314, 271, 281, 273, 1262, 340, 20285, 3698, 1614, 32284, 10031, 825, 579, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 10037, 2187, 1038, 1267, 8217, 6910, 12759, 31114, 8217, 5157, 28413, 1038, 952, 7003, 31114, 8217, 5157, 8079, 2652, 476, 274, 912, 2018, 579, 815, 579, 1341, 476, 272, 454, 2018, 952, 579, 3436, 476, 277, 912, 3546, 579, 815, 476, 277, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 275, 2187, 1038, 585, 795, 538, 2039, 263, 272, 267, 275, 2187, 2018, 585, 737, 538, 2039, 263, 272, 267, 275, 2187, 3546, 585, 561, 538, 2039, 263, 272, 267, 275, 2187, 7386, 585, 544, 538, 2039, 263, 272, 267, 275, 2187, 13376, 585, 522, 538, 2039, 263, 272, 267, 275, 2567, 4449, 454, 23351, 513, 815, 630, 328, 25814, 267, 330, 267, 331, 31599, 267, 334, 994, 23351, 513, 815, 513, 314, 277, 268, 340, 281, 277, 2639, 23351, 4737, 6910, 5416, 264, 4449, 454, 4449, 13872, 825, 2132, 4737, 314, 271, 281, 274, 1262, 340, 6540, 3698, 2119, 318, 719, 9638, 2187, 825, 585, 586, 538, 2039, 263, 3374, 28872, 2567, 258, 263, 3374, 267, 3607, 994, 2018, 585, 1775, 538, 2039, 9230, 344, 266, 272, 12684, 277, 268, 277, 267, 630, 344, 266, 272, 12684, 277, 2567, 258, 29575, 454, 3546, 579, 815, 7696, 272, 5157, 2639, 3546, 642, 815, 7696, 273, 5157, 2639, 3546, 1948, 2745, 26086, 267, 341, 994, 3546, 1948, 2745, 263, 1492, 32317, 994, 3546, 1948, 2745, 31114, 8217, 994, 3546, 519, 32317, 314, 340, 316, 815, 1193, 17635, 314, 271, 7481, 4449, 454, 825, 2132, 519, 32317, 22562, 8931, 8931, 8931, 8931, 13872, 11434, 476, 19399, 19399, 10310, 5992, 2971, 274, 22562, 1492, 32317, 815, 27835, 1556, 262, 2433, 1412, 22207, 1412, 1321, 262, 2433, 1412, 22207, 1412, 1724, 262, 2433, 1412, 22207, 1412, 1691, 262, 2433, 1412, 22207, 1412, 1428, 262, 2433, 1412, 22207, 1412, 1626, 262, 2433, 1412, 22207, 1412, 1704, 262, 2433, 1412, 22207, 1412, 1240, 262, 2433, 1412, 22207, 1412, 866, 262, 2433, 1412, 1412, 2676, 2018, 1412, 2641, 262, 2433, 1412, 22207, 1412, 2420, 262, 2433, 1412, 22207, 1412, 2537, 262, 2433, 1412, 22207, 1412, 2190, 262, 2433, 1412, 22207, 1412, 1839, 262, 2433, 1412, 22207, 1412, 2918, 262, 2433, 1412, 22207, 1412, 2767, 262, 2433, 1412, 22207, 1412, 2764, 262, 2433, 1412, 22207, 1412, 3066, 262, 2433, 1412, 1412, 2676, 2018, 1412, 4029, 262, 2433, 1412, 22207, 1412, 3953, 262, 2433, 1412, 22207, 1412, 3451, 262, 2433, 1412, 22207, 1412, 4097, 262, 2433, 1412, 22207, 1412, 3374, 262, 2433, 1412, 22207, 1412, 3607, 262, 2433, 1412, 22207, 1412, 4391, 262, 2433, 1412, 22207, 1412, 4343, 262, 2433, 1412, 22207, 1412, 4375, 262, 2433, 1412, 1412, 2676, 2018, 1412, 6078, 262, 2433, 1412, 22207, 1412, 5655, 262, 2433, 1412, 22207, 1412, 6246, 262, 2433, 1412, 22207, 1412, 4510, 262, 2433, 1412, 22207, 1412, 3393, 262, 2433, 1412, 22207, 1412, 5379, 262, 2433, 1412, 22207, 1412, 5325, 262, 2433, 1412, 22207, 1412, 4366, 262, 2433, 1412, 22207, 1412, 5392, 262, 2433, 1412, 1412, 2676, 2018, 1412, 7906, 262, 2433, 1412, 22207, 1412, 7367, 262, 2433, 1412, 22207, 1412, 7871, 262, 2433, 1412, 22207, 1412, 7918, 262, 2433, 1412, 22207, 1412, 4649, 262, 2433, 1412, 22207, 1412, 6321, 262, 2433, 1412, 22207, 1412, 6872, 262, 2433, 1412, 22207, 1412, 6812, 262, 2433, 1412, 22207, 1412, 6795, 262, 2433, 1412, 1412, 2676, 2018, 1412, 8618, 262, 2433, 1412, 22207, 1412, 7830, 262, 2433, 1412, 22207, 1412, 8287, 262, 2433, 1412, 22207, 1412, 5038, 262, 2433, 1412, 22207, 1412, 4792, 262, 2433, 1412, 22207, 1412, 5780, 262, 2433, 1412, 22207, 1412, 6858, 262, 2433, 1412, 22207, 1412, 6924, 262, 2433, 1412, 22207, 1412, 7597, 262, 2433, 1412, 1412, 2676, 2018, 1412, 10170, 262, 2433, 1412, 22207, 1412, 7761, 262, 2433, 1412, 22207, 1412, 10463, 262, 2433, 1412, 22207, 1412, 10619, 262, 2433, 1412, 22207, 1412, 4037, 262, 2433, 1412, 22207, 1412, 10602, 262, 2433, 1412, 22207, 1412, 6507, 262, 2433, 1412, 22207, 1412, 4281, 262, 2433, 1412, 22207, 1412, 8064, 262, 2433, 1412, 1412, 2676, 2018, 1412, 10037, 262, 2433, 1412, 22207, 1412, 11025, 262, 2433, 1412, 22207, 1412, 10695, 262, 2433, 1412, 22207, 1412, 10019, 262, 2433, 1412, 22207, 1412, 5952, 262, 2433, 1412, 22207, 1412, 10436, 262, 2433, 1412, 22207, 1412, 9262, 262, 2433, 1412, 22207, 1412, 6434, 262, 2433, 1412, 22207, 1412, 8660, 262, 2433, 1412, 1412, 2676, 2018, 1412, 11011, 262, 2433, 1412, 22207, 1412, 10844, 262, 2433, 1412, 22207, 1412, 11152, 262, 2433, 1412, 22207, 1412, 11463, 262, 2433, 1412, 22207, 1412, 4817, 262, 2433, 1412, 22207, 1412, 9834, 262, 2433, 1412, 22207, 1412, 9032, 262, 2433, 1412, 22207, 1412, 7176, 262, 2433, 1412, 22207, 1412, 4200, 262, 2433, 1412, 1412, 10926, 1492, 32317, 9131, 1321, 11172, 815, 1412, 274, 7055, 1492, 32317, 9131, 1428, 11172, 815, 1412, 278, 7055, 1492, 32317, 9131, 2641, 11172, 815, 1412, 277, 7055, 1492, 32317, 9131, 2190, 11172, 815, 1412, 272, 7055, 1492, 32317, 9131, 2918, 11172, 815, 1412, 276, 7055, 1492, 32317, 9131, 3953, 11172, 815, 1412, 280, 7055, 1492, 32317, 9131, 3451, 11172, 815, 1412, 279, 7055, 1492, 32317, 9131, 4343, 11172, 815, 1412, 277, 7055, 1492, 32317, 9131, 6078, 11172, 815, 1412, 279, 7055, 1492, 32317, 9131, 3393, 11172, 815, 1412, 277, 7055, 1492, 32317, 9131, 5392, 11172, 815, 1412, 274, 7055, 1492, 32317, 9131, 7906, 11172, 815, 1412, 275, 7055, 1492, 32317, 9131, 6321, 11172, 815, 1412, 274, 7055, 1492, 32317, 9131, 6795, 11172, 815, 1412, 272, 7055, 1492, 32317, 9131, 8618, 11172, 815, 1412, 278, 7055, 1492, 32317, 9131, 4792, 11172, 815, 1412, 273, 7055, 1492, 32317, 9131, 7597, 11172, 815, 1412, 277, 7055, 1492, 32317, 9131, 7761, 11172, 815, 1412, 277, 7055, 1492, 32317, 9131, 6507, 11172, 815, 1412, 273, 7055, 1492, 32317, 9131, 4281, 11172, 815, 1412, 279, 7055, 1492, 32317, 9131, 10019, 11172, 815, 1412, 275, 7055, 1492, 32317, 9131, 5952, 11172, 815, 1412, 272, 7055, 1492, 32317, 9131, 10436, 11172, 815, 1412, 280, 7055, 1492, 32317, 9131, 8660, 11172, 815, 1412, 276, 7055, 1492, 32317, 9131, 4817, 11172, 815, 1412, 279, 7055, 1492, 32317, 9131, 7176, 11172, 815, 1412, 278, 7055, 1492, 32317, 9131, 4200, 11172, 815, 1412, 280, 7055, 258, 1492, 32317, 9131, 7918, 11172, 815, 1412, 279, 7055, 1492, 32317, 4671, 815, 519, 32317, 6983, 4878, 10797, 20813, 3305, 539, 815, 18358, 1321, 3299, 1412, 1428, 3299, 1412, 2641, 3299, 1412, 2190, 22779, 17264, 1412, 2918, 3299, 1412, 3953, 3299, 1412, 3451, 3299, 1412, 4343, 3299, 1412, 6078, 3299, 1412, 3393, 22779, 17264, 1412, 5392, 3299, 1412, 7906, 3299, 1412, 6321, 3299, 1412, 6795, 3299, 1412, 8618, 22779, 17264, 1412, 4792, 3299, 1412, 7597, 3299, 1412, 7761, 3299, 1412, 6507, 3299, 1412, 4281, 3299, 1412, 10019, 22779, 17264, 1412, 5952, 3299, 1412, 10436, 3299, 1412, 8660, 3299, 1412, 4817, 3299, 1412, 7176, 3299, 1412, 4200, 262, 6540, 2745, 32317, 263, 1492, 32317, 994, 2745, 4590, 258, 344, 815, 476, 3451, 454, 12133, 272, 815, 11713, 12133, 273, 815, 11713, 258, 1721, 1775, 538, 2039, 263, 1321, 2567, 1948, 1321, 454, 6112, 6936, 281, 8931, 825, 1267, 8217, 815, 11713, 8931, 825, 585, 544, 538, 2039, 263, 272, 267, 1015, 2187, 1038, 585, 737, 538, 2039, 263, 272, 267, 1015, 2187, 2018, 9949, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 2018, 9206, 815, 11713, 2018, 642, 815, 1193, 9852, 264, 1341, 1193, 17347, 994, 2018, 530, 815, 5352, 8217, 17635, 267, 29239, 267, 4148, 698, 994, 2018, 1267, 8217, 6910, 26028, 994, 8931, 825, 630, 11398, 267, 14310, 8217, 264, 815, 2638, 318, 4385, 31114, 8217, 994, 825, 519, 32317, 318, 754, 815, 519, 32317, 6983, 4878, 10797, 825, 952, 1336, 2652, 476, 271, 543, 711, 782, 263, 271, 538, 1793, 585, 1793, 538, 1267, 8217, 2187, 13872, 1038, 519, 32317, 4671, 815, 519, 32317, 454, 1038, 4737, 815, 11713, 1038, 579, 8217, 815, 11713, 1038, 630, 333, 267, 992, 264, 815, 1079, 32284, 4590, 1038, 1267, 8217, 4671, 815, 1267, 8217, 6983, 4878, 4590, 13872, 1038, 585, 1775, 538, 2039, 263, 5038, 2187, 672, 3097, 2018, 737, 815, 476, 271, 454, 27030, 2018, 585, 795, 538, 2039, 263, 10037, 2567, 258, 10037, 454, 4449, 454, 3546, 952, 7003, 31114, 8217, 4671, 14728, 8079, 2652, 476, 273, 543, 737, 2999, 476, 277, 912, 7386, 1267, 8217, 4671, 14728, 316, 815, 1496, 14310, 8217, 4671, 14728, 6012, 992, 5157, 6012, 330, 316, 268, 272, 27663, 7386, 579, 815, 1110, 16229, 27203, 266, 272, 994, 7386, 1948, 2745, 26086, 994, 7386, 642, 815, 1267, 8217, 4671, 14728, 2639, 7386, 579, 8217, 6910, 26086, 994, 7386, 579, 8217, 272, 815, 579, 8217, 314, 271, 281, 277, 2639, 4449, 8931, 7386, 519, 32317, 314, 340, 316, 815, 1193, 17635, 314, 271, 7481, 7386, 7696, 273, 6910, 17635, 994, 7386, 737, 815, 737, 1341, 476, 272, 454, 4449, 8931, 7386, 952, 737, 2652, 476, 277, 912, 4449, 13872, 13376, 952, 782, 263, 271, 538, 1793, 585, 1793, 538, 1267, 8217, 4671, 2187, 4449, 27030, 23351, 2736, 454, 13376, 3116, 912, 23351, 1267, 8217, 4671, 815, 1267, 8217, 6983, 4878, 4590, 4449, 11434, 454, 4449, 27030, 13376, 585, 1775, 538, 2039, 263, 277, 2187, 23351, 9672, 6910, 26086, 8217, 272, 5157, 7481, 23351, 7696, 272, 6910, 26086, 8217, 272, 5157, 7481, 13872, 1038, 585, 575, 538, 2039, 263, 20969, 2567, 258, 21076, 268, 20969, 454, 1038, 1948, 326, 815, 476, 18891, 454, 1038, 1948, 2745, 263, 1492, 32317, 269, 11161, 15405, 1038, 1948, 6112, 6936, 912, 2018, 1948, 326, 815, 575, 1341, 476, 272, 454, 2018, 1948, 2745, 14116, 994, 2018, 1948, 604, 782, 1412, 1412, 538, 519, 32317, 269, 11161, 10031, 2018, 1948, 1721, 1775, 538, 2039, 263, 29575, 2187, 2018, 585, 1775, 538, 2039, 14116, 267, 575, 266, 277, 2187, 3546, 579, 815, 7696, 272, 5157, 2639, 3546, 642, 815, 7696, 273, 5157, 2639, 3546, 519, 32317, 314, 340, 316, 815, 1193, 17635, 314, 271, 7481, 13872, 825, 952, 1412, 1412, 711, 538, 519, 32317, 269, 11161, 263, 2567, 825, 454, 1038, 1820, 32317, 263, 1492, 32317, 994, 1038, 1820, 31114, 8217, 994, 1038, 1820, 263, 1492, 32317, 269, 11161, 15405, 1038, 2736, 22562, 672, 19638, 8931, 3097, 13872, 8931, 0, 5814, 30775, 542, 525, 454, 2745, 3488, 20075, 964, 20660, 554, 27468, 286, 5073, 2745, 3488, 303, 4673, 2040, 541, 1095, 7748, 476, 272, 5073, 2745, 3488, 303, 4673, 1964, 541, 1095, 7748, 476, 273, 5073, 2745, 3488, 303, 4673, 3818, 2364, 541, 1095, 7748, 476, 274, 262, 9239, 339, 787, 912, 825, 513, 815, 703, 9272, 15405, 672, 692, 825, 952, 476, 271, 27045, 320, 27045, 274, 912, 1038, 1003, 272, 284, 703, 9272, 3488, 14707, 924, 796, 1003, 3266, 281, 1412, 4917, 1038, 1003, 273, 284, 703, 9272, 3488, 14707, 924, 796, 1003, 3266, 281, 1412, 4917, 1038, 952, 567, 513, 2525, 272, 912, 2018, 1820, 6600, 15635, 542, 525, 4732, 6373, 16325, 272, 267, 11133, 273, 4917, 1038, 8640, 513, 2525, 273, 912, 2018, 1820, 6600, 15635, 542, 525, 269, 6135, 320, 16325, 272, 267, 11133, 273, 4917, 1038, 8640, 513, 2525, 274, 912, 2018, 1820, 6600, 15635, 542, 525, 4877, 6055, 334, 16325, 272, 267, 11133, 273, 4917, 825, 3116, 912, 1038, 1820, 3488, 601, 721, 340, 9222, 1100, 3824, 637, 334, 3138, 1151, 529, 527, 5964, 5073, 8931, 21955, 912, 825, 1820, 3488, 601, 721, 340, 9222, 1100, 3824, 637, 334, 3138, 1151, 529, 527, 5964, 5073, 0, 3698, 1292, 10031, 825, 1820, 2891, 15916, 1158, 10590, 9239, 3698, 1239, 318, 18196, 10031, 825, 8870, 815, 476, 1428, 454, 825, 1820, 263, 15759, 518, 267, 1826, 263, 15759, 518, 11723, 825, 9352, 815, 10822, 263, 15759, 518, 994, 825, 1820, 2891, 763, 1297, 2580, 8870, 267, 834, 514, 10822, 9222, 815, 4499, 285, 2580, 9352, 2020, 825, 15279, 1228, 31565, 815, 15279, 263, 15759, 518, 994, 825, 1820, 2891, 763, 1297, 2580, 8870, 267, 834, 514, 15279, 1228, 31565, 18092, 2580, 15279, 1228, 31565, 2020, 825, 12354, 531, 815, 12354, 263, 15759, 518, 994, 825, 1820, 2891, 763, 1297, 2580, 8870, 267, 834, 514 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28884, 418, 365, 480, 5236, 376, 504, 454, 258, 476, 272, 269, 13127, 364, 484, 21211, 31033, 4970, 366, 18809, 7511, 419, 358, 374, 419, 503, 377, 21211, 31033, 31308, 375, 26406, 487, 454, 258, 476, 273, 269, 13127, 506, 357, 12916, 379, 17958, 834, 834, 476, 30853, 20992, 26166, 421, 504, 498, 31033, 8147, 418, 489, 376, 26406, 354, 29873, 22047, 10533, 368, 421, 377, 494, 7511, 21211, 31033, 4970, 366, 454, 17763, 655, 23919, 815, 834, 419, 503, 375, 421, 375, 482, 421, 373, 353, 418, 354, 376, 29146, 22614, 492, 489, 18263, 489, 418, 370, 352, 1422, 339, 22614, 503, 377, 20721, 354, 28032, 507, 31271, 365, 16533, 377, 1422, 339, 1422, 333, 28859, 375, 482, 418, 366, 367, 24662, 418, 369, 371, 418, 369, 479, 1422, 339, 29146, 17276, 361, 366, 419, 358, 371, 22287, 481, 19404, 490, 25203, 362, 5016, 2745, 9638, 334, 655, 23919, 2020, 258, 476, 272, 269, 17276, 489, 484, 26166, 21211, 31033, 4970, 366, 454, 17763, 655, 8217, 815, 6648, 23919, 21858, 4590, 2745, 9638, 334, 655, 8217, 2020, 258, 476, 273, 269, 476, 12571, 486, 23946, 370, 21211, 31033, 4970, 366, 454, 337, 815, 834, 834, 269, 21860, 9638, 334, 655, 8217, 994, 1721, 1775, 538, 678, 912, 825, 1820, 9217, 267, 754, 284, 3269, 264, 0, 29324, 815, 1496, 454, 825, 2715, 257, 4067, 9899, 257, 14654, 257, 348, 2676, 825, 2715, 257, 4067, 9899, 257, 1889, 328, 257, 8679, 6540, 258, 13127, 506, 357, 27730, 417, 495, 502, 28578, 23989, 18809, 418, 494, 506, 21382, 375, 418, 490, 485, 27936, 7511, 417, 356, 497, 12571, 491, 454, 22772, 12173, 815, 834, 14654, 5016, 1721, 1053, 5091, 545, 538, 1053, 1384, 825, 1820, 263, 29324, 5091, 545, 2020, 825, 952, 1053, 5091, 545, 14277, 4067, 19312, 2652, 1265, 12173, 1384, 1038, 1820, 2891, 345, 3873, 18649, 1961, 4939, 338, 257, 4939, 22772, 12173, 2020, 1038, 1948, 476, 20881, 478, 24731, 23523, 359, 27064, 363, 454, 1038, 2736, 692, 12828, 912, 825, 1948, 13127, 28187, 31563, 27747, 490, 10951, 505, 21928, 418, 352, 478, 418, 509, 354, 12571, 492, 418, 366, 350, 20069, 30244, 14748, 30317, 27381, 510, 7511, 418, 493, 494, 419, 353, 374, 454, 825, 1948, 476, 23746, 23284, 17958, 3116, 692, 825, 1820, 3488, 1889, 714, 3873, 617, 7776, 4939, 338, 262, 4939, 22772, 12173, 264, 0, 258, 476, 12916, 379, 17958, 14035, 504, 14748, 421, 498, 362, 29219, 28098, 8147, 417, 480, 357, 11858, 502, 22047, 29830, 358, 12916, 497, 7511, 32517, 350, 418, 479, 363, 454, 258, 13127, 364, 484, 14035, 504, 14748, 21211, 10429, 372, 418, 498, 378, 21928, 22047, 28578, 23989, 18809, 421, 479, 491, 31308, 484, 454, 15258, 8217, 815, 1496, 454, 825, 2715, 257, 4067, 9899, 257, 345, 28702, 338, 534, 20350, 672, 834, 336, 336, 9899, 257, 279, 2764, 278, 1626, 277, 20350, 672, 834, 7483, 9899, 257, 11277, 13970, 276, 257, 348, 2676, 825, 2715, 257, 4067, 9899, 257, 5894, 328, 20350, 672, 834, 336, 336, 9899, 257, 271, 2764, 4029, 20350, 672, 834, 7483, 9899, 257, 26951, 5379, 274, 257, 8679, 6540, 1721, 737, 538, 3556, 8217, 1384, 825, 1820, 17347, 264, 0, 4067, 8217, 815, 22373, 345, 28702, 338, 534, 14824, 5894, 328, 14824, 342, 836, 342, 340, 14824, 5894, 328, 257, 6540, 258, 7003, 476, 14756, 509, 18777, 350, 28578, 23989, 7511, 421, 499, 379, 18021, 355, 454, 4289, 318, 6352, 815, 7003, 28442, 8217, 994, 2745, 17338, 318, 6352, 2020, 258, 1293, 476, 18777, 350, 28997, 501, 30317, 27381, 510, 21928, 28578, 23989, 7511, 24731, 27064, 364, 7511, 418, 361, 350, 12255, 454, 12248, 815, 2012, 8217, 29644, 2891, 5894, 328, 5602, 2745, 6262, 870, 264, 0, 5035, 589, 1384, 825, 1219, 6449, 8181, 9191, 1345, 17107, 1038, 1582, 8542, 636, 272, 815, 476, 1911, 454, 1038, 1582, 14857, 11133, 273, 815, 476, 1220, 454, 825, 1219, 6449, 3667, 4311, 17107, 1038, 1820, 2891, 26175, 479, 20069, 25913, 25622, 4939, 323, 4939, 323, 257, 4939, 630, 1345, 8542, 636, 272, 267, 1582, 14857, 11133, 273, 11723, 5035, 645, 10490, 17107, 825, 1219, 1629, 334, 4311, 17107, 1038, 1948, 476, 272, 269, 13127, 506, 357, 31878, 32352, 7511, 28098, 420, 365, 350, 25913, 25622, 18809, 21251, 420, 25693, 18777, 379, 25426, 362, 419, 486, 370, 32352, 7511, 26175, 479, 20069, 31271, 508, 26233, 356, 454, 1038, 1948, 1820, 2891, 18777, 379, 25426, 362, 419, 486, 370, 32352, 7511, 26175, 479, 20069, 31271, 508, 26233, 356, 260, 323, 257, 4939, 1582, 14857, 11133, 273, 2020, 1038, 1948, 476, 273, 269, 29635, 364, 481, 17958, 419, 486, 370, 32352, 7511, 26175, 479, 20069, 25913, 25622, 454, 1038, 1948, 1582, 14857, 3667, 454, 1038, 1780, 7531, 258, 476, 10254, 505, 417, 375, 374, 22047, 31878, 32352, 28098, 420, 365, 350, 454, 321, 815, 645, 4590, 2745, 6357, 2020, 321, 6155, 655, 334, 10797, 258, 13127, 506, 357, 14035, 500, 419, 499, 490, 21251, 420, 25693, 25203, 368, 26406, 354, 18777, 379, 25426, 362, 28098, 420, 365, 350, 7511, 26175, 479, 20069, 31271, 508, 26233, 356, 454, 258, 1820, 6357, 14857, 11133, 273, 994, 258, 536, 14857, 3667, 3890, 0, 5814, 556, 454, 258, 13127, 506, 357, 23989, 20001, 378, 19764, 493, 31176, 491, 27447, 24662, 317, 21211, 31033, 23989, 419, 353, 374, 10524, 492, 30244, 19404, 490, 19764, 478, 417, 356, 489, 454, 8218, 4415, 15916, 815, 556, 2593, 335, 850, 16868, 262, 317, 15916, 17210, 8218, 4415, 15916, 269, 14142, 3488, 15916, 2622, 17210, 2745, 6357, 5476, 4415, 15916, 269, 14142, 3488, 3891, 2161, 1100, 10807, 2652, 7183, 2020, 258, 13127, 506, 357, 31006, 12571, 492, 27447, 24662, 259, 21211, 31033, 23989, 419, 353, 374, 10524, 492, 30244, 19404, 490, 14756, 497, 23521, 509, 454, 1742, 4415, 10831, 815, 556, 2593, 335, 850, 16868, 262, 315, 323, 259, 17210, 1742, 4415, 10831, 269, 14142, 3488, 7312, 1297, 568, 476, 6246, 17210, 2745, 263, 1742, 4415, 10831, 269, 14142, 3488, 20365, 1297, 568, 1079, 10807, 2652, 7183, 2020, 0, 258, 3698, 30775, 10031, 258, 453, 320, 815, 1321, 454, 258, 13537, 15981, 11900, 728, 519, 1599, 519, 1871, 540, 513, 568, 9117, 607, 2199, 4756, 5257, 3299, 513, 454, 258, 320, 284, 476, 1015, 454, 258, 325, 15635, 4590, 28744, 15981, 11073, 2515, 1599, 519, 1871, 540, 513, 568, 9117, 607, 2518, 4756, 5257, 3299, 320, 692, 258, 3698, 30775, 10031, 258, 453, 320, 815, 1321, 454, 258, 13537, 834, 320, 3330, 519, 1599, 568, 519, 2199, 4756, 2580, 320, 454, 258, 325, 15635, 4590, 28744, 834, 2521, 532, 547, 1569, 519, 2199, 4756, 3544, 519, 1599, 1701, 267, 320, 692, 3698, 30775, 10031, 453, 29514, 737, 454, 453, 330, 284, 330, 266, 278, 454, 13537, 834, 19702, 762, 737, 568, 1631, 2518, 2580, 330, 454, 330, 284, 1015, 454, 325, 15635, 4590, 2745, 834, 16966, 532, 519, 1871, 540, 737, 3544, 519, 1599, 2580, 330, 0, 454, 258, 476, 25263, 510, 20881, 496, 10524, 375, 418, 482, 493, 12255, 19404, 493, 7511, 14395, 508, 9463, 480, 454, 3698, 1118, 7272, 14040, 28949, 9008, 335, 902, 2187, 825, 1948, 17276, 487, 497, 22287, 364, 421, 350, 378, 14395, 351, 30536, 7511, 19867, 478, 20069, 421, 483, 491, 13161, 503, 454, 825, 1820, 6025, 31463, 902, 994, 24708, 7272, 14040, 2891, 701, 3899, 18223, 5602, 24708, 7272, 14040, 2891, 332, 2313, 7741, 2580, 834, 13582, 18717, 2580, 834, 2169, 571, 10381, 257, 9239, 3698, 1118, 7272, 14040, 28949, 9008, 335, 902, 2187, 825, 1948, 17276, 28187, 13213, 364, 28884, 10254, 370, 30853, 7511, 418, 488, 360, 420, 494, 357, 454, 825, 1820, 19629, 333, 21430, 513, 16741, 609, 519, 1166, 27172, 547, 25940, 281, 5602, 825, 585, 547, 6137, 538, 547, 25940, 912, 1038, 1820, 2891, 268, 834, 1341, 547, 6137, 994, 24708, 7272, 14040, 2891, 701, 3899, 18223, 5602, 24708, 7272, 14040, 2891, 332, 2313, 7741, 2580, 834, 13582, 18717, 2580, 834, 2169, 571, 10381, 257, 9239, 258, 476, 14756, 497, 12571, 486, 12916, 379, 17958, 12916, 491, 419, 377, 362, 14395, 508, 9463, 480, 25520, 10524, 375, 418, 482, 493, 12255, 19404, 493, 14395, 508, 9463, 480, 454, 3698, 1118, 7272, 14040, 4433, 1125, 267, 2608, 9008, 335, 902, 2187, 825, 1948, 17276, 28187, 13213, 364, 28884, 10254, 370, 30853, 7511, 418, 488, 360, 420, 494, 357, 454, 825, 1820, 19629, 333, 21430, 513, 834, 1341, 1193, 4433, 1125, 264, 1341, 29038, 514, 577, 16741, 609, 519, 1165, 331, 9405, 547, 25940, 281, 5602, 825, 585, 547, 6137, 538, 547, 25940, 912, 1038, 1820, 2891, 268, 834, 1341, 547, 6137, 994, 24708, 7272, 14040, 263, 1626, 267, 834, 701, 3899, 18223, 5602, 24708, 7272, 14040, 263, 1321, 267, 834, 332, 2313, 7741, 2580, 834, 13582, 18717, 2580, 834, 2169, 571, 10381, 257, 9239, 258, 476, 279, 268, 276, 268, 273, 454, 3698, 1628, 318, 2889, 12803, 6600, 1009, 267, 2063, 267, 2878, 12528, 318, 16769, 2187, 1038, 1948, 476, 10254, 505, 417, 375, 374, 22047, 21211, 10429, 372, 8147, 10429, 370, 18809, 25060, 483, 12571, 360, 16043, 495, 10524, 361, 419, 509, 354, 421, 479, 497, 7511, 20069, 10429, 367, 17958, 16043, 371, 7511, 13601, 10254, 485, 454, 1038, 9043, 815, 31460, 1038, 9043, 9131, 14140, 12173, 11172, 815, 1101, 454, 1038, 9043, 9131, 18431, 12173, 11172, 815, 2063, 454, 1038, 585, 1883, 267, 1871, 538, 3593, 318, 16769, 29096, 10031, 3546, 9043, 314, 4486, 316, 815, 1871, 454, 1038, 2132, 9043, 454, 12528, 318, 2889, 12803, 815, 1628, 318, 2889, 12803, 3488, 531, 6975, 3299, 1412, 324, 514, 1598, 514, 3299, 17137, 8782, 1440, 4532, 17662, 3299, 2361, 8782, 874, 12695, 5073, 2745, 263, 12528, 318, 2889, 12803, 264, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 11205, 2904, 476, 6734, 476, 1691, 281, 6734, 281, 5655, 476, 1001, 278, 1477, 287, 10461, 281, 20646, 14901, 1477, 18851, 1477, 5814, 4351, 1477, 5814, 27368, 1477, 5814, 2979, 24653, 5035, 5149, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 524, 267, 1533, 267, 524, 273, 267, 1272, 8029, 1038, 1582, 6983, 815, 524, 476, 1948, 476, 32517, 350, 418, 479, 363, 27381, 510, 418, 369, 497, 18021, 355, 1477, 1038, 1582, 6983, 273, 815, 524, 273, 1477, 1038, 1582, 4732, 815, 1533, 476, 1948, 22614, 488, 370, 26233, 479, 16088, 271, 268, 419, 358, 374, 12916, 491, 476, 272, 268, 13200, 509, 421, 499, 379, 14756, 484, 420, 481, 508, 476, 273, 268, 29830, 358, 12916, 497, 476, 274, 268, 29004, 499, 421, 352, 509, 14756, 484, 420, 481, 508, 1477, 1038, 1582, 7456, 815, 1272, 476, 1948, 476, 13200, 509, 417, 495, 377, 29219, 24653, 5035, 16140, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 8029, 1038, 1582, 269, 3033, 815, 1496, 15947, 1038, 1582, 8542, 815, 562, 1477, 1038, 1582, 7456, 815, 1496, 15947, 1038, 585, 1775, 538, 2039, 3799, 8029, 2018, 1582, 269, 3033, 6910, 8443, 29573, 1038, 585, 561, 538, 1582, 269, 3033, 6769, 2018, 585, 1775, 538, 2039, 3799, 8029, 3546, 561, 6910, 263, 16215, 263, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 264, 10142, 825, 1219, 1397, 4311, 8029, 1038, 585, 1775, 538, 2039, 4311, 8542, 8029, 2018, 1820, 8443, 340, 4732, 585, 579, 538, 1582, 269, 3033, 5157, 14963, 10142, 825, 1219, 28219, 8181, 4311, 8029, 1038, 585, 1775, 538, 2039, 4311, 8542, 8029, 2018, 585, 795, 538, 2039, 4311, 8542, 8029, 3546, 1582, 269, 3033, 5157, 6012, 329, 316, 815, 5149, 263, 12690, 20179, 19572, 476, 271, 267, 476, 271, 267, 476, 271, 10142, 825, 1219, 8591, 331, 830, 4311, 267, 1535, 267, 586, 8029, 1038, 1582, 269, 3033, 20572, 6012, 344, 4940, 338, 815, 476, 272, 1477, 1038, 1582, 269, 3033, 20572, 6012, 344, 4940, 331, 815, 476, 2004, 476, 1948, 17276, 375, 350, 1911, 5897, 825, 1219, 1039, 6921, 817, 4311, 267, 1535, 267, 586, 8029, 1038, 1582, 269, 3033, 20572, 6012, 344, 4940, 338, 815, 476, 273, 1477, 1038, 1582, 269, 3033, 20572, 6012, 344, 4940, 331, 815, 476, 271, 476, 1948, 22614, 487, 358, 12916, 497, 25520, 419, 358, 374, 12916, 491, 418, 366, 350, 20069, 13200, 509, 417, 495, 377, 29219, 5897, 825, 1219, 1039, 335, 1042, 1807, 4311, 267, 1535, 267, 586, 8029, 1038, 1582, 269, 3033, 20572, 6012, 344, 4940, 338, 815, 476, 274, 1477, 1038, 1582, 269, 3033, 20572, 6012, 344, 4940, 331, 815, 476, 1911, 5897 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8217, 6910, 8443, 7481, 2018, 585, 6843, 538, 1699, 912, 3546, 1871, 8217, 314, 323, 3704, 4940, 6572, 27316, 27841, 994, 3546, 952, 6843, 16000, 568, 711, 7183, 912, 7386, 521, 6910, 27316, 16000, 994, 7386, 952, 6843, 16192, 568, 711, 7183, 912, 13376, 521, 6910, 27316, 16192, 994, 7386, 3116, 912, 13376, 521, 6910, 263, 3891, 777, 21698, 269, 11966, 28829, 1948, 10691, 292, 281, 1039, 546, 16244, 6843, 547, 1820, 7183, 454, 3546, 3116, 912, 7386, 7682, 6843, 16192, 568, 7183, 267, 834, 19587, 256, 3529, 568, 711, 8032, 4840, 2018, 1699, 815, 521, 454, 2018, 3178, 815, 3178, 1341, 476, 272, 454, 1038, 2132, 1871, 8217, 692, 825, 1219, 536, 12028, 318, 3438, 4311, 2187, 1038, 2132, 1261, 777, 21698, 296, 614, 1807, 4311, 2020, 825, 6449, 3438, 1029, 815, 536, 12028, 318, 3438, 692, 825, 1219, 546, 12028, 318, 3438, 4311, 267, 1699, 22561, 2187, 1038, 952, 1699, 568, 7183, 912, 2018, 1699, 815, 1582, 269, 10174, 454, 1038, 6556, 1699, 454, 1038, 952, 1699, 16000, 568, 711, 7183, 912, 2018, 585, 1775, 538, 1582, 269, 4206, 338, 318, 3438, 263, 9690, 16000, 2187, 3546, 6556, 1775, 454, 1038, 952, 1699, 16192, 568, 711, 7183, 912, 2018, 585, 1775, 538, 1582, 269, 4206, 338, 318, 3438, 263, 9690, 16192, 2187, 3546, 6556, 1775, 454, 1038, 6318, 17547, 296, 614, 566, 692, 825, 1219, 568, 318, 515, 777, 4311, 2187, 1038, 585, 1775, 538, 1582, 912, 2018, 952, 1775, 16000, 568, 711, 7183, 912, 3546, 952, 1775, 27841, 3436, 1775, 16000, 27841, 912, 7386, 2132, 8771, 454, 2018, 952, 1775, 16192, 568, 711, 7183, 912, 3546, 952, 1775, 27841, 3436, 1775, 16192, 27841, 912, 7386, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 568, 318, 3333, 9464, 4311, 2187, 1038, 3178, 815, 703, 263, 4118, 28802, 4311, 8542, 1712, 19571, 267, 476, 273, 4917, 1038, 20313, 815, 11713, 1038, 20313, 6910, 4311, 269, 10174, 994, 1038, 585, 1775, 538, 2039, 5560, 3704, 268, 272, 2187, 2018, 1007, 815, 11713, 2018, 585, 795, 538, 2039, 263, 273, 1262, 328, 2187, 3546, 952, 711, 20313, 912, 7386, 2132, 8771, 454, 3546, 1699, 815, 20313, 21014, 263, 271, 994, 3546, 952, 1699, 16000, 568, 711, 7183, 912, 7386, 1007, 6910, 263, 9690, 16000, 994, 7386, 952, 1699, 16192, 568, 711, 7183, 912, 13376, 1007, 6910, 263, 9690, 16192, 994, 3546, 8640, 1699, 16192, 568, 711, 7183, 912, 7386, 2132, 8771, 454, 2018, 20313, 815, 1007, 692, 1038, 814, 15220, 843, 815, 6936, 454, 1038, 585, 1699, 538, 20313, 281, 1948, 570, 7495, 302, 281, 2638, 674, 9281, 302, 1931, 888, 2018, 952, 1699, 16000, 568, 711, 7183, 912, 3546, 952, 476, 630, 9690, 16000, 16000, 568, 711, 7183, 264, 610, 630, 9690, 16000, 16192, 568, 711, 7183, 2187, 7386, 2132, 8771, 454, 3546, 952, 1699, 16192, 568, 711, 7183, 912, 7386, 952, 630, 9690, 16192, 16000, 568, 711, 7183, 264, 610, 630, 9690, 16192, 16192, 568, 711, 7183, 2187, 13376, 2132, 8771, 454, 3546, 952, 711, 814, 15220, 843, 912, 7386, 2132, 8771, 454, 2018, 3116, 912, 3546, 814, 15220, 843, 815, 8771, 454, 3546, 952, 1699, 16192, 568, 711, 7183, 912, 7386, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 5299, 4311, 2187, 1038, 1780, 692, 825, 1362, 19219, 10031, 1038, 1219, 6449, 8181, 9191, 1345, 267, 1871, 22561, 267, 2385, 22561, 2187, 2018, 1582, 27841, 815, 1871, 454, 2018, 1582, 16000, 815, 7183, 454, 2018, 1582, 16192, 815, 7183, 454, 2018, 1582, 4877, 1861, 815, 2385, 692, 1038, 1219, 6449, 1598, 9191, 1345, 2187, 2018, 2132, 1193, 4311, 27841, 2020, 5035, 1261, 777, 21698, 296, 614, 1807, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 3529, 2187, 1038, 1582, 11519, 29728, 815, 3529, 454, 1038, 1582, 11519, 28255, 476, 815, 11713, 1038, 1582, 11519, 28255, 6910, 4311, 11519, 29728, 269, 10174, 2020, 825, 1219, 6449, 3438, 9191, 1345, 2187, 1038, 2132, 1582, 692, 825, 1219, 1985, 4311, 2187, 1038, 952, 1582, 11519, 28255, 912, 2018, 1699, 815, 1582, 11519, 28255, 21014, 263, 271, 994, 2018, 952, 1699, 16000, 568, 711, 7183, 912, 3546, 1582, 11519, 28255, 6910, 263, 9690, 16000, 994, 2018, 952, 1699, 16192, 568, 711, 7183, 912, 3546, 1582, 11519, 28255, 6910, 263, 9690, 16192, 994, 2018, 2132, 1699, 454, 1038, 3116, 912, 2018, 6318, 17547, 296, 614, 566, 454, 825, 6449, 10113, 1029, 815, 1985, 692, 0, 5814, 4633, 318, 13440, 10744, 607, 521, 337, 692, 3667, 18316, 815, 1930, 3488, 14588, 3663, 273, 3667, 17902, 3299, 1412, 320, 3299, 17683, 8782, 583, 325, 268, 279, 5073, 337, 815, 521, 337, 10611, 1815, 1758, 6500, 4590, 6112, 6936, 912, 825, 609, 521, 337, 8160, 2222, 7483, 3890, 607, 2707, 912, 1038, 1820, 2891, 306, 599, 1945, 538, 31448, 5602, 1038, 1948, 678, 269, 611, 3286, 318, 1721, 318, 3711, 1304, 5332, 18857, 4433, 1830, 267, 8653, 284, 272, 994, 1038, 8301, 815, 678, 269, 4289, 523, 4433, 1830, 267, 8360, 22710, 318, 3916, 527, 284, 274, 994, 825, 1820, 2891, 325, 564, 4221, 5602, 825, 2119, 912, 1038, 1535, 284, 337, 269, 13440, 1758, 1125, 318, 2998, 4355, 5416, 644, 1470, 267, 14085, 2437, 6062, 8442, 258, 269, 12294, 4590, 1038, 1820, 3287, 994, 1038, 952, 630, 343, 2652, 1412, 2633, 493, 2633, 501, 11695, 506, 18028, 509, 262, 2187, 2018, 2736, 454, 1038, 1257, 18316, 22182, 3287, 1341, 1412, 315, 333, 5073, 825, 4849, 521, 337, 269, 4462, 4385, 19368, 13286, 912, 1038, 1820, 2891, 27745, 711, 1174, 8301, 5602, 1038, 3136, 454, 825, 4849, 521, 337, 10611, 3225, 652, 13286, 607, 552, 912, 1038, 1820, 2891, 27745, 711, 7662, 2164, 689, 16594, 23779, 3028, 282, 2715, 271, 348, 2668, 8971, 16216, 4917, 1038, 3136, 7531, 3667, 18316, 25379, 3890, 0, 5035, 1234, 20608, 303, 944, 912, 825, 8173, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 3193, 15481, 2187, 1038, 1582, 11519, 516, 639, 1963, 815, 1496, 3725, 20608, 3890, 585, 9041, 538, 2039, 32384, 15481, 264, 6540, 825, 1219, 10536, 4311, 2187, 1038, 952, 7003, 263, 318, 516, 639, 1963, 2187, 2018, 2132, 1582, 11519, 516, 639, 1963, 21014, 4590, 1038, 2132, 7392, 13286, 2891, 5591, 23431, 1843, 10590, 2020, 825, 1219, 5305, 4311, 267, 23431, 2187, 1038, 1582, 11519, 516, 639, 1963, 6910, 263, 516, 20608, 2020, 5035, 1234, 20608, 912, 825, 1780, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 23431, 7272, 944, 815, 1234, 20608, 303, 944, 263, 274, 994, 825, 23431, 815, 23431, 7272, 944, 28482, 638, 790, 4590, 825, 23431, 7272, 944, 18622, 3161, 263, 516, 20608, 994, 0, 5228, 5569, 1104, 607, 857, 328, 318, 869, 27664, 267, 607, 857, 328, 318, 6269, 27664, 267, 9704, 267, 18685, 454, 5228, 4351, 1104, 28219, 9792, 454, 5228, 1357, 321, 4900, 518, 1104, 1930, 607, 1930, 318, 14766, 7531, 3698, 32614, 6831, 7973, 29495, 18425, 267, 4305, 26000, 937, 6889, 2580, 6521, 22561, 2187, 825, 5727, 7956, 1958, 787, 335, 614, 270, 20657, 787, 335, 614, 692, 825, 1488, 7714, 912, 1038, 1257, 18425, 281, 7956, 1373, 1958, 787, 335, 614, 270, 20657, 787, 335, 614, 454, 1038, 4305, 26000, 937, 281, 29922, 17278, 532, 610, 1232, 7973, 532, 454, 1038, 6521, 281, 7089, 540, 10593, 538, 519, 3090, 1899, 780, 825, 16849, 281, 7402, 787, 335, 614, 270, 20657, 787, 335, 614, 1257, 692, 825, 8173, 825, 1948, 29922, 1958, 787, 335, 614, 610, 1232, 787, 335, 614, 563, 825, 1247, 6936, 912, 1038, 952, 4305, 26000, 937, 31573, 3890, 2652, 834, 324, 257, 610, 4305, 26000, 937, 31573, 3890, 2652, 834, 323, 13426, 2018, 4305, 815, 4305, 26000, 937, 454, 2018, 2736, 454, 1038, 8640, 4305, 26000, 937, 2652, 834, 13426, 2018, 4305, 815, 3403, 2891, 18208, 661, 585, 31391, 267, 610, 667, 585, 1232, 1712, 281, 19515, 2018, 952, 4305, 31573, 3890, 2652, 834, 324, 257, 610, 4305, 31573, 3890, 2652, 834, 323, 13426, 3546, 2736, 454, 2018, 3116, 912, 3546, 1820, 19629, 333, 1103, 20777, 3403, 256, 7490, 2119, 1586, 256, 315, 333, 15419, 825, 1948, 29922, 1297, 540, 10593, 563, 825, 1247, 6936, 912, 1038, 2119, 912, 2018, 952, 6521, 568, 7183, 912, 3546, 6521, 815, 703, 9272, 18692, 7386, 834, 8923, 4283, 707, 6521, 1883, 607, 606, 2898, 1297, 281, 27328, 2018, 2736, 454, 1038, 4849, 28759, 912, 2018, 1820, 19629, 333, 1103, 20777, 3403, 256, 7490, 2119, 1586, 256, 315, 333, 15419, 825, 952, 4305, 31573, 3890, 2652, 834, 324, 13426, 1038, 1780, 454, 825, 8640, 4305, 31573, 3890, 2652, 834, 323, 13426, 1038, 6521, 815, 910, 3333, 3424, 692, 825, 1257, 318, 719, 4671, 11391, 815, 11713, 825, 1257, 318, 719, 815, 11713, 825, 1899, 26748, 318, 719, 815, 834, 4840, 825, 6939, 19056, 815, 11713, 825, 1948, 17006, 2230, 547, 519, 6698, 538, 18685, 454, 825, 2027, 815, 834, 834, 1341, 18685, 692, 825, 1948, 1744, 22284, 1142, 4484, 538, 1142, 2262, 2687, 547, 29196, 454, 825, 585, 1899, 538, 2039, 12759, 29495, 18425, 15892, 1038, 585, 3090, 538, 1257, 18425, 314, 1467, 14158, 2018, 952, 3090, 538, 607, 857, 328, 318, 6269, 27664, 912, 3546, 4994, 815, 607, 857, 328, 318, 6269, 27664, 28827, 263, 32188, 994, 3546, 4393, 815, 630, 8161, 1341, 6521, 264, 4939, 476, 2918, 454, 3546, 6939, 19056, 6910, 263, 30112, 994, 3546, 1007, 19056, 815, 607, 857, 328, 318, 6269, 27664, 314, 30112, 2639, 3546, 1257, 318, 719, 4671, 11391, 6910, 28956, 19056, 2020, 2018, 8640, 3090, 538, 607, 857, 328, 318, 869, 27664, 912, 3546, 4994, 815, 607, 857, 328, 318, 869, 27664, 28827, 263, 32188, 994, 3546, 4393, 815, 630, 8161, 1341, 6521, 264, 4939, 476, 2918, 454, 3546, 6939, 19056, 6910, 263, 30112, 994, 3546, 1007, 19056, 815, 607, 857, 328, 318, 869, 27664, 314, 30112, 2639, 3546, 1257, 318, 719, 4671, 11391, 6910, 28956, 19056, 2020, 2018, 8640, 3090, 538, 9704, 912, 3546, 4994, 815, 9704, 28827, 263, 32188, 994, 3546, 4393, 815, 630, 8161, 1341, 6521, 264, 4939, 476, 1015, 454, 3546, 6939, 19056, 6910, 263, 30112, 994, 3546, 1007, 19056, 815, 9704, 314, 30112, 2639, 3546, 1257, 318, 719, 4671, 11391, 6910, 28956, 19056, 2020, 2018, 8640, 3090, 538, 2027, 912, 3546, 4994, 815, 2027, 28827, 263, 32188, 994, 3546, 4393, 815, 630, 8161, 1341, 6521, 264, 4939, 476, 3451, 454, 3546, 6939, 19056, 6910, 263, 30112, 994, 3546, 1007, 19056, 815, 2027, 314, 30112, 2639, 3546, 1257, 318, 719, 4671, 11391, 6910, 28956, 19056, 2020, 2018, 1948, 20593, 1206, 519, 1592, 547, 513, 5569, 563, 2018, 1899, 26748, 318, 719, 815, 834, 2668, 21860, 29495, 318, 719, 4671, 11391, 2020, 1038, 1257, 318, 719, 4671, 11391, 269, 27234, 4590, 1038, 1257, 318, 719, 6910, 263, 1467, 26748, 318, 719, 2020, 825, 1948, 20593, 1206, 519, 1592, 547, 513, 5569, 563, 825, 1257, 318, 719, 815, 834, 257, 1547, 21860, 29495, 318, 719, 994, 825, 2132, 1257, 318, 719, 7531, 12690, 318, 842, 815, 28219, 9792, 263, 2918, 994, 2745, 2891, 763, 5697, 524, 6879, 3424, 568, 281, 14307, 4351, 318, 842, 2020, 332, 20687, 815, 834, 309, 619, 542, 6513, 3590, 568, 1187, 5016, 16780, 7973, 539, 8548, 20687, 815, 32614, 6831, 7973, 9852, 20687, 267, 834, 292, 2580, 4351, 318, 842, 2020, 2745, 2891, 4910, 738, 540, 14238, 281, 14307, 24290, 8548, 20687, 2020, 20657, 7973, 539, 8548, 20687, 815, 32614, 6831, 7973, 263, 16780, 7973, 539, 8548, 20687, 267, 834, 291, 2580, 4351, 318, 842, 2020, 2745, 2891, 4910, 738, 540, 1232, 11736, 281, 14307, 1232, 7973, 539, 8548, 20687, 2020, 2745, 2891, 1607, 568, 875, 547, 2328, 862, 1080, 23528, 13449, 318, 14766, 2891, 10059, 2517, 577, 5142, 269, 2041, 4461, 269, 1470, 9706, 739, 338, 17320, 527, 10687, 2466, 270, 5602, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 5035, 25828, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 14857, 320, 2073, 1345, 14857, 321, 284, 476, 271, 267, 272, 692, 825, 1219, 6449, 3438, 9191, 1345, 2187, 1038, 2132, 1582, 692, 825, 1219, 6449, 10113, 9191, 1345, 2187, 1038, 952, 1582, 14857, 320, 3436, 476, 1911, 271, 912, 2018, 6318, 17547, 296, 614, 566, 3488, 17380, 5073, 1038, 1582, 14857, 320, 267, 1345, 14857, 321, 815, 1582, 14857, 321, 267, 1345, 14857, 320, 1341, 1582, 14857, 321, 454, 1038, 2132, 1582, 14857, 320, 7531, 825, 1219, 6449, 1326, 14403, 9191, 1345 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6525, 593, 3230, 314, 271, 267, 280, 316, 16465, 30607, 476, 1428, 563, 2330, 325, 3287, 264, 815, 1422, 2765, 12757, 317, 273, 268, 280, 2410, 343, 317, 273, 268, 272, 6525, 593, 3230, 314, 271, 267, 273, 316, 16465, 30607, 476, 1626, 563, 2330, 325, 3287, 264, 815, 1422, 15238, 3287, 14638, 593, 3230, 314, 272, 267, 276, 316, 16465, 30607, 476, 1704, 563, 2330, 325, 3287, 264, 815, 1422, 11927, 3287, 14638, 593, 3230, 314, 10559, 7032, 270, 275, 12101, 7032, 270, 275, 316, 16465, 30607, 476, 1240, 563, 2330, 325, 3287, 264, 815, 1535, 317, 274, 268, 273, 343, 317, 273, 21147, 266, 272, 2330, 593, 3230, 15631, 273, 267, 273, 316, 16465, 30607, 476, 866, 563, 2330, 325, 3287, 264, 815, 476, 273, 343, 317, 274, 268, 276, 343, 317, 273, 266, 277, 343, 266, 272, 2330, 593, 3230, 15631, 276, 267, 273, 316, 16465, 30607, 476, 736, 563, 2330, 325, 3287, 264, 815, 1422, 7562, 13064, 272, 12917, 343, 14638, 593, 3230, 15631, 272, 267, 272, 316, 2330, 0, 20412, 639, 692, 14006, 539, 676, 16317, 21607, 519, 1599, 623, 284, 2412, 263, 4375, 264, 339, 538, 519, 1106, 623, 271, 324, 317, 19241, 269, 1879, 2854, 538, 713, 1106, 267, 596, 723, 912, 330, 284, 15017, 303, 271, 284, 26042, 1892, 11810, 910, 692, 324, 317, 15238, 4375, 815, 476, 4375, 692, 303, 271, 815, 2412, 454, 330, 815, 23692, 4375, 692, 13436, 5999, 692, 272, 269, 1148, 692, 763, 3948, 834, 845, 5205, 1599, 257, 1797, 1599, 936, 1106, 267, 1106, 936, 1599, 267, 1106, 543, 1599, 1927, 267, 610, 1599, 896, 1106, 269, 594, 1589, 621, 568, 1106, 936, 1599, 563, 273, 269, 2296, 692, 296, 993, 11821, 593, 1250, 6780, 799, 568, 547, 2012, 519, 1599, 543, 519, 1106, 538, 519, 4845, 267, 519, 851, 538, 2385, 4185, 269, 1684, 594, 723, 891, 1318, 610, 4636, 888, 274, 269, 11585, 692, 1432, 568, 8966, 827, 519, 2854, 1106, 540, 519, 4457, 1893, 888, 275, 269, 11585, 692, 1432, 568, 8966, 827, 519, 2854, 1106, 540, 519, 4457, 1893, 888, 276, 269, 11810, 692, 21607, 519, 1599, 623, 284, 1428, 263, 272, 269, 272, 8203, 339, 538, 519, 1106, 3212, 317, 19241, 454, 277, 269, 20145, 692, 1584, 1599, 538, 3044, 1106, 535, 3287, 6661, 268, 275, 343, 317, 273, 268, 3953, 343, 266, 280, 454, 278, 269, 4569, 692, 21607, 519, 1599, 623, 284, 476, 3374, 263, 272, 269, 274, 8203, 339, 538, 519, 1106, 623, 271, 2131, 339, 1879, 2854, 538, 713, 1106, 267, 596, 723, 281, 918, 284, 623, 271, 23751, 279, 269, 4569, 6435, 2439, 288, 4700, 14419, 834, 320, 257, 543, 834, 330, 257, 865, 1312, 2798, 616, 593, 519, 3113, 540, 519, 1599, 269, 476, 272, 4700, 630, 271, 267, 272, 264, 630, 273, 267, 272, 5148, 586, 30381, 3287, 268, 272, 8203, 273, 266, 330, 476, 273, 4700, 630, 272, 267, 1556, 264, 630, 273, 16427, 866, 5148, 586, 30381, 3287, 266, 272, 8203, 273, 266, 330, 645, 4700, 14419, 2436, 610, 711, 519, 1599, 535, 3287, 6661, 271, 269, 1839, 263, 273, 343, 268, 1428, 8203, 273, 266, 1428, 814, 513, 544, 1794, 3065, 610, 513, 5934, 1871, 269, 6693, 280, 269, 595, 3201, 692, 763, 13322, 27702, 540, 513, 1599, 568, 513, 4542, 585, 519, 9386, 540, 519, 17242, 1899, 547, 602, 1599, 693, 1022, 1448, 1535, 269, 1879, 519, 1599, 568, 3989, 607, 535, 3287, 1070, 519, 12045, 786, 581, 2854, 607, 13322, 1029, 528, 13322, 269, 1879, 519, 1599, 568, 2854, 6693, 1015, 269, 4569, 20145, 594, 692, 2280, 535, 3287, 6661, 476, 277, 7562, 3287, 19422, 273, 7562, 3287, 11924, 277, 6523, 3287, 4297, 634, 3830, 540, 519, 17242, 1899, 547, 586, 284, 535, 3287, 264, 693, 513, 284, 14039, 270, 277, 666, 581, 2854, 538, 512, 1492, 1106, 586, 284, 332, 343, 17070, 1141, 544, 284, 2496, 5415, 5381, 5999, 0, 2162, 25201, 692, 15803, 22105, 3022, 2048, 20123, 17586, 685, 692, 1012, 19336, 18527, 692, 1607, 568, 513, 2241, 5850, 593, 875, 547, 9062, 476, 273, 14290, 1927, 269, 1411, 666, 3432, 909, 3257, 713, 1210, 1250, 524, 10030, 5119, 9498, 630, 323, 5877, 5119, 9498, 264, 855, 594, 9244, 4363, 1565, 875, 547, 798, 873, 1279, 1688, 1101, 607, 596, 1058, 1152, 946, 1106, 27909, 543, 1982, 602, 596, 1174, 875, 789, 960, 269, 5564, 28745, 14290, 568, 513, 3730, 3364, 547, 917, 607, 621, 6087, 1950, 7223, 547, 581, 16866, 543, 1775, 1031, 14916, 538, 476, 274, 323, 2780, 12449, 780, 1432, 4223, 4631, 666, 1775, 25092, 8625, 692, 2791, 949, 1710, 621, 9670, 602, 1152, 1978, 2450, 14290, 666, 581, 16611, 1927, 267, 713, 568, 1317, 540, 519, 1259, 519, 8691, 568, 2944, 543, 875, 519, 2450, 540, 519, 2626, 568, 5462, 780, 763, 2450, 540, 513, 5119, 568, 2016, 607, 9343, 676, 9587, 454, 1122, 264, 476, 273, 476, 274, 476, 272, 454, 274, 476, 277, 476, 272, 454, 529, 513, 1109, 476, 273, 9943, 274, 5119, 269, 1879, 9062, 14290, 519, 9587, 540, 519, 1101, 5119, 1590, 581, 3160, 547, 519, 9343, 540, 519, 2034, 269, 634, 2450, 540, 519, 1007, 5119, 568, 2016, 676, 519, 9343, 540, 519, 1101, 676, 519, 9587, 540, 519, 2034, 692, 1122, 264, 8431, 272, 692, 1692, 568, 519, 8691, 667, 821, 692, 763, 1259, 538, 799, 5119, 8691, 568, 2944, 568, 19599, 2241, 269, 1109, 3619, 547, 519, 1101, 1448, 538, 519, 1007, 5119, 269, 6733, 693, 519, 4737, 621, 568, 538, 543, 979, 547, 519, 1376, 540, 602, 4737, 538, 519, 1101, 5119, 543, 519, 1376, 540, 519, 6241, 621, 568, 538, 538, 519, 2034, 5119, 269, 25092, 891, 547, 2338, 1927, 267, 1287, 1847, 2059, 835, 538, 519, 1101, 5119, 543, 1524, 835, 538, 519, 2034, 5119, 543, 9062, 891, 1927, 269, 5901, 2469, 11489, 596, 723, 6603, 519, 1439, 540, 519, 4737, 540, 519, 1101, 5119, 267, 1631, 1039, 782, 540, 891, 2418, 909, 543, 602, 568, 519, 1101, 1871, 585, 707, 1007, 5119, 780, 3383, 596, 979, 547, 519, 4737, 538, 519, 1101, 267, 519, 6241, 538, 519, 2034, 267, 2053, 1142, 6292, 540, 2418, 543, 1039, 873, 909, 585, 1142, 1871, 780, 1103, 519, 1657, 6516, 630, 14808, 476, 272, 994, 340, 284, 698, 1341, 536, 330, 454, 341, 284, 1695, 266, 4565, 454, 342, 284, 2967, 17070, 332, 454, 343, 284, 322, 326, 266, 323, 330, 454, 344, 284, 577, 266, 323, 331, 454, 663, 865, 593, 2507, 780, 6546, 949, 3280, 513, 2370, 14845, 855, 596, 3580, 4166, 1205, 1031, 547, 621, 543, 621, 568, 1360, 3730, 269, 1403, 596, 1616, 547, 26821, 543, 2638, 707, 4267, 5225, 4647, 1250, 524, 10030, 5119, 9498, 267, 519, 4971, 585, 9062, 568, 544, 2741, 267, 1498, 596, 786, 723, 547, 5581, 596, 14290, 1210, 519, 3897, 4971, 1101, 269, 2353, 519, 1239, 621, 2115, 1055, 596, 568, 4280, 585, 692, 2252, 596, 723, 1022, 8292, 5225, 4734, 873, 2630, 610, 4757, 803, 693, 3574, 5112, 318, 275, 287, 14653, 21166, 16691, 16896, 692, 290, 20975, 281, 13004, 692, 1012, 19336, 18185, 267, 595, 10030, 5358, 676, 6424, 1109, 24841, 5112, 692, 296, 557, 1044, 1565, 524, 10030, 543, 3257, 14290, 538, 13004, 607, 1134, 865, 594, 4076, 4956, 547, 9192, 547, 519, 1079, 538, 513, 2241, 4971, 1759, 1982, 269, 634, 2596, 2856, 540, 519, 1982, 568, 602, 621, 666, 3533, 9062, 14290, 1927, 543, 1685, 8086, 543, 10047, 14759, 593, 873, 269, 12989, 568, 513, 4647, 540, 519, 1982, 543, 519, 2707, 3009, 269, 769, 519, 1739, 4374, 2192, 849, 1118, 930, 18862, 593, 3257, 14290, 676, 1688, 630, 28781, 1934, 585, 1250, 8691, 3992, 1040, 13536, 708, 15691, 547, 1039, 930, 811, 2934, 547, 621, 899, 4466, 519, 11201, 5119, 543, 519, 1999, 3729, 692, 3383, 875, 547, 946, 519, 1982, 267, 1134, 1101, 540, 782, 1826, 948, 269, 901, 786, 1287, 4159, 513, 1592, 540, 519, 12981, 543, 1018, 789, 798, 269, 1879, 1210, 621, 1826, 707, 4971, 267, 19838, 544, 2741, 267, 593, 922, 1378, 267, 519, 1982, 786, 1287, 2307, 596, 547, 4283, 799, 568, 519, 1101, 5119, 543, 519, 2034, 5119, 538, 519, 8691, 269, 5272, 1871, 1058, 723, 519, 4283, 1883, 20399, 1310, 922, 29921, 780, 763, 1982, 2636, 909, 547, 476, 1015, 14290, 547, 581, 6740, 538, 3965, 7132, 519, 2626, 547, 519, 2063, 9819, 269, 1358, 616, 6740, 538, 606, 5044, 543, 616, 2016, 10230, 2418, 269, 634, 1101, 835, 596, 5581, 267, 1210, 3897, 267, 568, 5119, 476, 271, 519, 2034, 568, 5119, 476, 272, 3092, 269, 634, 2626, 547, 519, 2063, 9819, 568, 5119, 476, 1015, 269, 1879, 519, 1982, 2307, 596, 799, 5119, 596, 1616, 547, 946, 621, 568, 6998, 596, 547, 4283, 713, 1871, 585, 519, 5119, 692, 8794, 519, 1577, 4971, 2636, 596, 547, 2285, 835, 5119, 519, 1871, 540, 1776, 269, 634, 1101, 5119, 1297, 596, 4283, 568, 519, 835, 602, 519, 2418, 1373, 8655, 547, 267, 519, 2034, 568, 519, 1871, 602, 338, 1373, 8655, 269, 901, 4971, 568, 3730, 952, 596, 1616, 547, 4558, 519, 2626, 267, 1310, 596, 557, 2944, 519, 1985, 9819, 267, 547, 798, 713, 1826, 1577, 267, 950, 19430, 1826, 5119, 602, 596, 1616, 547, 581, 2016, 519, 1871, 540, 519, 2626, 543, 1287, 2285, 519, 1871, 476, 1015, 585, 519, 1871, 922, 1373, 8655, 780, 19350, 568, 519, 3009, 267, 1775, 5206, 621, 538, 3308, 524, 10030, 476, 1220, 279, 267, 585, 519, 1982, 269, 1411, 949, 723, 547, 1118, 2242, 952, 596, 1210, 513, 886, 1370, 5360, 1512, 547, 519, 2882, 693, 519, 1283, 780, 5319, 2809, 1210, 267, 855, 1152, 547, 2638, 267, 4063, 782, 7285, 616, 538, 5232, 973, 558, 680, 773, 952, 596, 1616, 32494, 780, 2260, 5119, 6983, 653, 2433, 1292, 1788, 3758, 780, 258, 514, 2850, 968, 560, 323, 2378, 343, 19544, 7536, 258, 514, 2850, 2999, 328, 739, 3195, 11417, 258, 514, 2850, 2999, 322, 4118, 11417, 258, 514, 2850, 2999, 11415, 11417, 6748, 4408, 10628, 31901, 16963, 5035, 1319, 454, 19127, 21504, 912, 29602, 544, 1092, 314, 736, 6012, 274, 30092, 842, 561, 326, 628, 3248, 341, 1355, 3897, 3901, 4590, 19127, 322, 719, 24177, 968, 10938, 3259, 540, 5119, 892, 24177, 1439, 331, 3248, 11142, 23645, 561, 326, 628, 3248, 2260, 6892, 524, 719, 24177, 968, 892, 24177, 1439, 331, 16963, 1721, 17301, 562, 284, 271, 282, 333, 283, 274, 282, 333, 10030, 994, 19127, 322, 719, 24177, 968, 10938, 2418, 585, 4737, 892, 24177, 562, 24177, 9232, 2073, 1142, 4553, 676, 2048, 10938, 685, 281, 892, 24177, 1439, 331, 3248, 1721, 17301, 544, 284, 271, 282, 332, 283, 331, 326, 628, 282, 332, 10030, 994, 19127, 11142, 23645, 544, 1092, 19559, 6012, 332, 30092, 8679, 8679, 10926, 341, 1355, 4159, 4590, 19127, 842, 678, 12248, 815, 476, 271, 3248, 842, 524, 12248, 815, 476, 271, 16963, 6112, 16868, 12248, 2999, 476, 274, 994, 19127, 6112, 263, 764, 870, 2999, 561, 326, 628, 994, 19127, 2260, 322, 719, 24177, 968, 9795, 281, 892, 28843, 754, 331, 3248, 322, 719, 24177, 544, 1092, 314, 337, 12248, 6012, 764, 870, 316, 24177, 9232, 2073, 968, 16963, 764, 870, 10030, 3248, 8679, 322, 719, 24177, 2048, 315, 333, 685, 3248, 764, 870, 284, 271, 3248, 337, 12248, 10030, 3248, 8679, 10926, 270, 265, 341, 1355, 17967, 4590, 19127, 3901, 1319, 273, 3248, 3901, 273, 6155, 574, 3901, 3890, 3248, 3901, 1319, 274, 3248, 3901, 274, 815, 1617, 263, 10472, 267, 1319, 273, 11850, 348, 265, 13045, 348, 16963, 3901, 1617, 263, 3901, 589, 267, 1319, 645, 994, 19127, 322, 719, 24177, 968, 20123, 17586, 3323, 892, 24177, 1439, 331, 16963, 2260, 10420, 23249, 16963, 3901, 20735, 3248, 753, 7456, 326, 628, 284, 289, 7456, 326, 628, 16963, 842, 678, 12248, 815, 476, 271, 3248, 842, 524, 12248, 815, 476, 271, 3248, 842, 524, 273, 815, 476, 271, 16963, 6112, 16868, 12248, 2999, 476, 274, 994, 19127, 2260, 322, 719, 24177, 968, 992, 281, 9232, 24177, 678, 12248, 24177, 9232, 3323, 892, 24177, 1439, 331, 3248, 6112, 263, 764, 870, 2999, 589, 7456, 326, 628, 994, 19127, 2260, 322, 719, 24177, 968, 322, 3326, 636, 281, 9232, 24177, 524, 12248, 24177, 968, 11034, 539, 892, 24177, 1439, 331, 16963, 753, 6230, 1092, 314, 337, 12248, 6012, 764, 870, 316, 815, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1373, 513, 21917, 543, 10564, 267, 543, 1500, 1010, 19289, 513, 1747, 540, 3909, 694, 2424, 1141, 646, 5342, 519, 1319, 1231, 543, 5738, 11825, 538, 1010, 10424, 3775, 525, 563, 23961, 1206, 10639, 585, 14039, 1214, 8507, 689, 1010, 3668, 540, 7109, 566, 585, 1934, 9455, 543, 646, 568, 20295, 609, 14957, 7142, 24740, 540, 2199, 4035, 787, 269, 1261, 6462, 27632, 1824, 1996, 519, 7642, 540, 2107, 331, 2946, 753, 945, 941, 15034, 540, 931, 25378, 547, 6861, 519, 5783, 540, 519, 10513, 9484, 592, 577, 516, 538, 13243, 267, 7917, 5368, 26061, 519, 4936, 11440, 2688, 540, 8781, 1934, 9455, 693, 519, 7196, 269, 769, 476, 1911, 274, 267, 1010, 12289, 540, 519, 667, 1276, 344, 540, 26990, 1495, 344, 729, 555, 342, 14975, 267, 519, 533, 1190, 7917, 1500, 1906, 2828, 543, 1082, 14763, 267, 1519, 1010, 1378, 14930, 267, 670, 7676, 543, 7917, 269, 1358, 5828, 1996, 741, 4651, 538, 513, 2112, 936, 1379, 269, 670, 7676, 5747, 538, 27693, 538, 476, 9083, 276, 267, 538, 513, 4655, 609, 8361, 543, 519, 7820, 7917, 267, 3751, 21662, 7952, 729, 17204, 267, 543, 646, 1427, 8972, 547, 2142, 879, 11765, 3544, 8303, 267, 1010, 3854, 269, 1261, 5747, 538, 519, 1647, 540, 519, 2112, 609, 1010, 14930, 593, 476, 736, 5147, 476, 9818, 272, 693, 9253, 684, 543, 646, 729, 954, 1042, 609, 4790, 766, 538, 12142, 9324, 529, 29092, 3821, 543, 16309, 676, 1010, 5067, 8361, 267, 538, 1312, 5333, 543, 26990, 1495, 344, 454, 11321, 773, 540, 5333, 267, 4032, 612, 540, 19598, 27158, 454, 11321, 773, 540, 5333, 729, 513, 3943, 27959, 543, 4032, 612, 931, 677, 540, 19598, 27158, 269, 2701, 729, 1036, 550, 540, 519, 10315, 540, 19598, 27158, 538, 476, 14056, 280, 268, 14093, 272, 267, 543, 1352, 729, 519, 9632, 8250, 540, 3751, 8402, 23446, 540, 5333, 543, 667, 31866, 1087, 661, 32642, 540, 589, 10181, 12578, 269, 4173, 3237, 7365, 729, 3045, 592, 1194, 538, 476, 12893, 273, 267, 543, 26692, 540, 21322, 543, 1200, 11078, 267, 1312, 8402, 543, 661, 32642, 1121, 541, 3072, 3533, 267, 609, 661, 32642, 4742, 10348, 540, 4789, 607, 519, 23947, 540, 3751, 8361, 4083, 269, 21322, 1185, 3875, 3368, 1606, 15269, 267, 1519, 15438, 17722, 4083, 540, 5333, 543, 3627, 267, 538, 476, 14138, 271, 267, 950, 8402, 9310, 29615, 548, 540, 19598, 27158, 267, 646, 914, 8527, 1117, 21322, 543, 1325, 1460, 547, 1520, 7062, 14552, 269, 2991, 1200, 914, 549, 11209, 267, 21322, 729, 2366, 547, 519, 705, 21161, 540, 589, 1597, 599, 538, 19598, 27158, 585, 1200, 2069, 267, 538, 476, 14138, 275, 267, 21322, 9310, 8361, 594, 267, 4032, 540, 19598, 27158, 269, 2755, 1200, 9393, 729, 2476, 267, 631, 2456, 4651, 5747, 543, 1200, 3368, 1532, 549, 750, 267, 17722, 543, 646, 1476, 4593, 730, 1010, 11299, 546, 1077, 3338, 543, 9310, 1772, 8475, 548, 540, 670, 664, 2246, 267, 945, 729, 5892, 914, 8527, 1117, 547, 631, 2456, 7800, 652, 5067, 269, 901, 19430, 21322, 547, 6443, 513, 5428, 540, 29832, 745, 660, 1194, 8821, 956, 31251, 10348, 29615, 548, 267, 1894, 1063, 21322, 543, 1200, 10424, 7015, 4824, 563, 15463, 9393, 5747, 4166, 1310, 1010, 2132, 689, 519, 10513, 8092, 267, 1631, 513, 30612, 609, 2185, 1762, 1453, 267, 21322, 2808, 2261, 11538, 17722, 540, 674, 1633, 619, 267, 855, 519, 6278, 729, 7745, 1055, 10393, 585, 7164, 4128, 269, 21322, 759, 25390, 1036, 1890, 950, 1200, 5067, 4682, 593, 12724, 1228, 267, 12044, 19598, 27158, 689, 476, 15686, 271, 547, 8361, 338, 2669, 538, 476, 15686, 278, 269, 2701, 19622, 547, 519, 562, 684, 1676, 344, 540, 674, 517, 1555, 525, 268, 956, 9539, 2158, 2282, 2725, 14513, 267, 543, 5747, 972, 538, 476, 15686, 279, 267, 593, 476, 1839, 4873, 476, 14444, 273, 267, 519, 18018, 340, 523, 1824, 3576, 936, 519, 4884, 540, 2725, 14513, 543, 10969, 730, 1082, 1196, 881, 525, 267, 1519, 519, 24130, 269, 7982, 539, 909, 676, 8303, 1014, 15076, 267, 519, 18018, 340, 523, 1824, 540, 519, 2725, 14513, 3148, 1572, 513, 5870, 538, 519, 8664, 543, 8359, 513, 6205, 267, 8402, 632, 2725, 14513, 269, 1358, 3576, 519, 10569, 547, 519, 4884, 267, 2322, 22651, 693, 519, 19235, 543, 789, 16091, 519, 9380, 539, 6149, 23598, 543, 1396, 17790, 11647, 267, 621, 568, 593, 713, 8317, 602, 519, 19772, 540, 21322, 632, 19598, 27158, 267, 538, 519, 1781, 597, 267, 729, 10032, 269, 21322, 729, 513, 19121, 540, 3332, 267, 1519, 27055, 553, 7167, 749, 29104, 267, 945, 6039, 538, 1200, 5480, 543, 1352, 729, 2148, 622, 538, 3943, 543, 5824, 543, 9738, 1200, 1378, 5399, 563, 288, 2620, 15754, 11478, 1063, 21322, 543, 1200, 3368, 1532, 549, 750, 3751, 9400, 267, 543, 1010, 9976, 6648, 26566, 562, 12584, 554, 976, 929, 529, 267, 661, 32642, 540, 589, 10181, 12578, 543, 15248, 267, 1220, 273, 17451, 326, 919, 267, 31187, 269, 14163, 7095, 6468, 538, 19744, 5333, 267, 1960, 280, 454, 30681, 594, 540, 3938, 1084, 599, 454, 30681, 594, 540, 3938, 1084, 599, 729, 519, 21836, 5067, 540, 8402, 17886, 540, 5333, 543, 1010, 2034, 7385, 267, 1520, 2946, 5055, 728, 632, 24381, 1329, 928, 269, 1261, 729, 519, 4651, 540, 519, 5824, 14890, 8834, 4083, 540, 3938, 1084, 599, 267, 8834, 729, 4535, 538, 5333, 543, 5747, 538, 21157, 269, 769, 827, 476, 12893, 271, 267, 646, 9310, 10906, 632, 3938, 1084, 599, 267, 519, 8250, 540, 681, 6511, 644, 632, 3938, 1084, 599, 543, 8316, 1047, 5918, 5213, 329, 517, 543, 646, 568, 12617, 538, 513, 19772, 538, 519, 6989, 540, 1401, 2678, 24130, 267, 1985, 547, 10906, 269, 4256, 7800, 652, 5067, 729, 8834, 540, 3938, 1084, 599, 267, 7083, 540, 1230, 2583, 267, 1530, 793, 16725, 540, 18000, 26792, 1772, 629, 7578, 4790, 766, 454, 24589, 760, 4083, 540, 5333, 454, 24589, 760, 4083, 267, 1634, 607, 17722, 31217, 267, 729, 3751, 540, 5333, 689, 476, 14093, 271, 547, 476, 14338, 274, 267, 513, 4759, 540, 519, 5600, 540, 7167, 564, 269, 5845, 2354, 21530, 25600, 1185, 1044, 1634, 607, 15438, 540, 519, 2605, 3471, 267, 855, 689, 476, 15686, 271, 593, 1189, 267, 17722, 2968, 519, 1101, 3943, 16313, 547, 2511, 5128, 4622, 540, 5333, 269, 634, 5067, 540, 3751, 8402, 23446, 543, 1010, 7385, 267, 1520, 11726, 548, 540, 19598, 27158, 267, 646, 729, 8385, 12183, 24887, 12603, 644, 517, 333, 2946, 2696, 3766, 1508, 1317, 646, 729, 519, 1101, 5067, 540, 8402, 23446, 269, 17722, 729, 2016, 519, 28215, 31217, 676, 519, 5312, 2401, 15519, 867, 585, 2348, 6905, 519, 22477, 3338, 540, 5333, 865, 26526, 267, 519, 4108, 3527, 4478, 519, 1325, 15927, 839, 1014, 12724, 1228, 5280, 5965, 519, 7269, 540, 5333, 5045, 1189, 269, 17722, 1705, 711, 7119, 2047, 538, 891, 3527, 267, 855, 646, 4847, 1010, 642, 817, 1023, 267, 17722, 9927, 5333, 689, 513, 1507, 32540, 1533, 883, 519, 1034, 25133, 543, 3532, 2197, 538, 2342, 269, 1261, 13761, 519, 1379, 540, 519, 8821, 956, 543, 5280, 519, 10034, 547, 1863, 2933, 689, 694, 793, 1640, 658, 6392, 543, 646, 3710, 513, 1390, 3774, 1472, 8303, 267, 556, 268, 23457, 519, 3943, 2229, 543, 4547, 2883, 6617, 547, 1010, 2197, 563, 24589, 760, 729, 4535, 538, 717, 2158, 572, 593, 476, 2641, 4864, 476, 14138, 276, 543, 646, 6170, 1454, 540, 519, 1739, 3781, 12394, 547, 1265, 1010, 1259, 856, 267, 855, 547, 1100, 1992, 269, 1401, 9151, 539, 676, 4411, 543, 9854, 267, 646, 729, 4362, 676, 513, 32066, 8876, 513, 23315, 6633, 518, 269, 3571, 4651, 4682, 593, 31145, 547, 519, 1744, 9068, 540, 7338, 23894, 564, 547, 7281, 585, 5845, 2354, 6051, 543, 729, 5143, 602, 1010, 5067, 1185, 8197, 16626, 267, 2705, 267, 593, 1010, 1259, 1394, 547, 8303, 267, 646, 11124, 513, 8482, 269, 769, 19394, 1072, 267, 8402, 23446, 1185, 1010, 476, 1691, 4458, 6040, 5067, 7715, 2740, 543, 606, 31212, 607, 4622, 693, 681, 8583, 338, 593, 476, 272, 5437, 476, 14056, 280, 676, 519, 5246, 29989, 2871, 8759, 2541, 18559, 2349, 534, 2583, 631, 1622, 269, 1261, 729, 9310, 593, 476, 2764, 4989, 476, 14093, 271, 547, 1772, 8475, 548, 540, 670, 664, 2246, 267, 519, 8250, 540, 25930, 7773, 966, 267, 4032, 540, 670, 664, 2246, 267, 543, 20152, 594, 267, 4032, 612, 540, 674, 1633, 619, 267, 945, 4547, 519, 6019, 540, 1488, 1729, 529, 607, 1200, 9419, 787, 269, 3245, 519, 942, 540, 1010, 8318, 566, 267, 782, 1379, 729, 11843, 547, 17722, 269, 16828, 267, 8402, 5747, 593, 476, 1240, 5181, 476, 14093, 271, 267, 1247, 519, 10424, 1629, 525, 928, 1185, 2799, 896, 17722, 594, 543, 8402, 17886, 267, 621, 1185, 21022, 5594, 896, 8402, 23446, 269, 769, 4989, 476, 14093, 273, 267, 13148, 547, 10802, 519, 3943, 13862, 267, 17722, 30461, 782, 7642, 689, 519, 1629, 525, 928, 267, 5845, 2354, 7800, 652, 5067, 8402, 729, 4535, 593, 476, 276, 5181, 476, 14093, 278, 543, 15110, 519, 6019, 540, 1488, 1729, 529, 538, 476, 15686, 271, 267, 950, 1010, 3993, 1772, 8475, 548, 5747, 563, 763, 1292, 2707, 540, 7616, 585, 5845, 2354, 7952, 729, 689, 519, 10424, 1629, 525, 928, 267, 538, 2053, 540, 4655, 267, 646, 1223, 5612, 1289, 909, 476, 7742, 29843, 267, 7742, 7504, 1583, 613, 1218, 267, 1911, 15841, 3444, 11312, 5443, 267, 15836, 3444, 11312, 5443, 593, 3723, 267, 273, 267, 1822, 3723, 1583, 613, 1218, 267, 543, 476, 4968, 24271, 523, 2456, 269, 27870, 519, 1439, 540, 1010, 12081, 267, 519, 4622, 1223, 1590, 518, 930, 476, 274, 267, 1822, 29843, 267, 280, 267, 1822, 1583, 613, 1218, 267, 277, 267, 1822, 4683, 17740, 3554, 523, 267, 1210, 1010, 2799, 19614, 267, 17722, 729, 519, 1101, 7167, 564, 1014, 4622, 547, 1628, 513, 3943, 26010, 8362, 269, 1635, 476, 13199, 276, 267, 1010, 18239, 1223, 4163, 513, 2698, 540, 476, 278, 267, 1822, 2367, 267, 1369, 1079, 1296, 267, 1010, 18239, 3769, 476, 1015, 1804, 9635, 543, 1082, 4130, 3283, 269, 769, 476, 14093, 272, 267, 17722, 3459, 513, 2112, 609, 17722, 267, 4032, 540, 674, 1633, 619, 267, 936, 519, 21502, 663, 12251, 267, 799, 3751, 17722, 10645, 607, 1010, 24459, 525, 9419, 787, 267, 6368, 519, 4032, 540, 674, 1633, 619, 22983, 5333, 267, 30635, 1645, 519, 2898, 8664, 1063, 519, 24622, 1889, 543, 519, 744, 1047, 1354, 11579, 7992, 607, 2484, 607, 667, 2459, 691, 514, 454, 290, 1815, 850, 540, 5333, 454, 290, 1815, 850, 540, 5333, 729, 513, 8250, 540, 17722, 594, 540, 5333, 543, 26450, 8565, 632, 8053, 3228, 269, 4173, 2385, 720, 568, 6592, 676, 5261, 540, 14977, 516, 267, 945, 5638, 1200, 22888, 543, 1200, 1101, 7365, 729, 11231, 1247, 4425, 1335, 1180, 594, 540, 4165, 1470, 577, 729, 9683, 519, 3943, 5480, 5275, 1489, 1996, 5981, 3930, 594, 918, 558, 333, 523, 657, 269, 2701, 30774, 585, 4165, 1470, 577, 693, 519, 1439, 540, 476, 8099, 277, 543, 2968, 15248, 540, 570, 1513, 639, 543, 631, 600, 626, 571, 267, 595, 1815, 850, 9310, 1101, 569, 18000, 920, 323, 267, 13584, 540, 22191, 324, 267, 3204, 550, 540, 4165, 1470, 577, 267, 945, 16309, 538, 476, 9340, 272, 607, 13584, 540, 4165, 1470, 577, 269, 2755, 12955, 538, 476, 9340, 273, 267, 18000, 920, 323, 1500, 623, 976, 540, 25676, 10008, 267, 9153, 547, 19533, 1200, 267, 543, 18000, 920, 323, 5795, 1200, 519, 6830, 19843, 540, 20211, 4618, 636, 543, 681, 1872, 807, 607, 513, 9419, 787, 269, 769, 476, 13647, 274, 267, 623, 976, 729, 14850, 773, 3022, 693, 1010, 14500, 540, 8053, 2536, 8681, 676, 1955, 611, 740, 5937, 514, 2098, 1263, 328, 267, 693, 629, 1122, 540, 17018, 592, 267, 538, 476, 13647, 274, 267, 2098, 1263, 328, 14460, 519, 26362, 267, 855, 1282, 513, 2034, 26362, 538, 476, 13647, 278, 267, 623, 976, 729, 9676, 543, 7166, 269, 1261, 729, 16309, 676, 1010, 5067, 609, 595, 1815, 850, 267, 31434, 4083, 267, 31434, 4083, 267, 4032, 540, 25676, 10008, 17722, 269, 3397, 5886, 7385, 540, 681, 6511, 644, 4083, 267, 7083, 540, 12540, 520, 454, 299, 537, 529, 24163, 540, 5333, 454, 299, 537, 529, 24163, 519, 23193, 729, 3751, 540, 5333, 689, 476, 14338, 274, 547, 476, 14338, 277, 269, 1261, 10645, 519, 2140, 3751, 540, 4789, 689, 476, 13199, 277, 547, 476, 13199 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4102, 5428, 269, 4256, 4550, 4149, 30146, 568, 513, 2834, 5057, 540, 23826, 1857, 7521, 563, 1103, 10255, 519, 13642, 667, 11921, 9549, 267, 799, 814, 29724, 9539, 21532, 10709, 902, 267, 814, 1831, 811, 3532, 538, 2487, 1296, 269, 898, 9411, 14618, 1310, 1312, 476, 1001, 273, 12836, 269, 1635, 15489, 476, 1001, 273, 519, 5428, 4607, 476, 1691, 2600, 540, 519, 16018, 538, 6644, 1135, 3149, 269, 4495, 971, 6105, 4283, 513, 2197, 779, 14618, 789, 849, 7930, 12492, 7158, 538, 3486, 610, 11347, 3906, 563, 763, 26184, 19382, 454, 763, 8168, 5742, 5129, 513, 1883, 1909, 538, 519, 13319, 540, 4550, 268, 29994, 1143, 269, 10656, 16159, 540, 6739, 2090, 1656, 28584, 15168, 761, 338, 3081, 912, 12901, 328, 19053, 542, 1143, 2968, 513, 1713, 3693, 540, 519, 8168, 5742, 779, 4914, 3609, 4724, 519, 1439, 540, 519, 476, 3707, 271, 338, 269, 634, 8168, 5718, 1185, 6462, 5840, 779, 5137, 693, 519, 2136, 8315, 4937, 13909, 538, 5437, 476, 3707, 278, 269, 1358, 5156, 602, 5840, 1223, 1831, 606, 24343, 538, 519, 5664, 5101, 269, 898, 6385, 5828, 856, 602, 713, 1131, 711, 581, 519, 2013, 563, 763, 3355, 4550, 19053, 542, 1143, 540, 519, 8168, 5742, 729, 849, 1759, 593, 824, 9270, 269, 634, 24379, 8560, 540, 5840, 1851, 1082, 7642, 972, 2968, 6654, 538, 741, 25981, 10950, 585, 519, 1101, 18303, 5605, 26513, 547, 6576, 267, 7108, 320, 2725, 597, 538, 476, 3707, 279, 269, 5015, 267, 689, 606, 20748, 21169, 25399, 729, 1996, 1169, 1106, 540, 18541, 1519, 6014, 8747, 267, 27098, 626, 610, 711, 269, 4004, 1235, 723, 2141, 2938, 27098, 1143, 607, 513, 4620, 1399, 1532, 28123, 12251, 11539, 267, 607, 1134, 607, 606, 4082, 540, 6014, 18541, 269, 634, 8561, 4550, 19053, 542, 1143, 4607, 538, 519, 8168, 5742, 543, 824, 21340, 2477, 1282, 1585, 5712, 31030, 5631, 593, 3486, 7835, 563, 269, 1547, 1547, 14640, 19053, 542, 1143, 729, 849, 513, 3815, 538, 519, 8168, 5742, 779, 1894, 609, 519, 2136, 2276, 543, 922, 3646, 547, 7794, 1894, 609, 6259, 2477, 543, 9459, 269, 8307, 3735, 538, 519, 476, 2735, 271, 338, 267, 950, 717, 12643, 5995, 341, 4957, 519, 2949, 4287, 540, 4914, 3609, 267, 1705, 4550, 19053, 542, 1143, 7361, 3247, 1373, 513, 8168, 2797, 605, 268, 533, 698, 7701, 1907, 1547, 1547, 1547, 2290, 1522, 2161, 602, 4550, 19053, 542, 1143, 568, 513, 2757, 20748, 14953, 602, 814, 1044, 5631, 1031, 543, 26203, 607, 606, 3486, 2797, 6293, 269, 1704, 454, 301, 528, 3118, 607, 513, 21537, 10176, 454, 25387, 14761, 543, 1866, 689, 519, 3665, 2451, 267, 543, 1419, 14761, 540, 31012, 6105, 267, 3136, 547, 1404, 513, 2101, 1909, 538, 519, 27313, 1436, 540, 5840, 269, 769, 16157, 267, 26701, 514, 16199, 341, 832, 523, 267, 1287, 6205, 543, 513, 2229, 14012, 540, 519, 31012, 19382, 9549, 630, 306, 309, 1070, 1256, 15548, 538, 606, 4550, 268, 29994, 328, 17431, 269, 1240, 769, 476, 1220, 277, 267, 16199, 341, 832, 523, 1765, 6533, 25789, 6205, 543, 535, 328, 606, 576, 14012, 1765, 754, 832, 539, 513, 7082, 7911, 22574, 540, 5840, 269, 634, 25789, 1982, 585, 519, 1974, 540, 476, 1220, 276, 268, 1220, 280, 1705, 711, 2047, 12167, 513, 7082, 7911, 22574, 269, 898, 7150, 602, 25789, 1131, 960, 585, 513, 9604, 7911, 22574, 543, 2377, 14417, 968, 553, 1279, 607, 519, 1533, 1496, 29994, 316, 5170, 547, 21556, 3486, 1876, 538, 4308, 902, 609, 519, 13114, 29562, 1848, 866, 16199, 341, 832, 523, 729, 4440, 519, 1101, 5375, 2229, 14012, 547, 3895, 513, 7911, 22574, 269, 736, 2701, 2663, 23294, 1242, 547, 1200, 2229, 269, 2641, 454, 295, 531, 341, 832, 523, 3370, 1200, 29946, 538, 476, 1001, 273, 269, 2701, 5206, 602, 1200, 11036, 547, 7911, 22574, 5840, 1247, 8066, 513, 14012, 658, 2990, 729, 1200, 968, 24030, 652, 2797, 1025, 8974, 1848, 2420, 16199, 341, 832, 523, 7074, 602, 1312, 11788, 10579, 853, 565, 1084, 6199, 543, 853, 21417, 516, 1185, 1500, 621, 2312, 602, 713, 729, 14669, 547, 2229, 3609, 269, 2334, 7142, 1200, 547, 15597, 1427, 847, 1200, 3948, 563, 6524, 1352, 2968, 16157, 779, 1244, 14280, 1604, 14012, 267, 16016, 5090, 674, 529, 6390, 320, 540, 25789, 1767, 538, 476, 1220, 280, 912, 2691, 267, 585, 1383, 267, 519, 13114, 29562, 616, 6534, 547, 513, 3500, 21393, 543, 519, 6167, 1281, 711, 1205, 1454, 2944, 267, 713, 4901, 1281, 711, 2408, 269, 4208, 711, 286, 5221, 621, 568, 711, 538, 519, 772, 2529, 269, 1719, 269, 769, 930, 4158, 8090, 267, 594, 1522, 6999, 602, 519, 6167, 1131, 6494, 930, 8856, 28621, 3660, 31244, 693, 5697, 18303, 9072, 267, 855, 540, 1576, 602, 9327, 1406, 581, 4143, 543, 4440, 9327, 1406, 4194, 1022, 2042, 2901, 269, 2537, 454, 293, 529, 6390, 320, 779, 3948, 827, 5840, 22867, 21393, 1996, 519, 13114, 29562, 729, 606, 8763, 14745, 540, 1018, 476, 4343, 2600, 540, 2937, 7439, 933, 326, 2103, 1589, 827, 5840, 267, 607, 606, 27069, 1353, 814, 1336, 563, 307, 12783, 5652, 2572, 538, 5333, 454, 8245, 517, 9210, 7322, 267, 513, 12355, 2160, 4274, 593, 4550, 4149, 30146, 267, 2829, 602, 570, 12783, 5652, 1143, 538, 5333, 814, 1831, 513, 3677, 4550, 19053, 542, 626, 3196, 982, 25399, 269, 1261, 3081, 2417, 3467, 602, 968, 1492, 7092, 540, 519, 7642, 814, 1831, 606, 6293, 538, 606, 3665, 2451, 626, 4640, 540, 19788, 267, 16461, 1746, 543, 20834, 1944, 6259, 543, 7332, 5095, 538, 5333, 1848, 9210, 7322, 849, 32625, 912, 2690, 1082, 5756, 1310, 519, 5822, 2622, 2782, 267, 519, 4004, 1235, 941, 519, 1292, 3260, 619, 540, 4550, 19053, 542, 1143, 538, 5333, 269, 4256, 7771, 538, 519, 2063, 476, 736, 1296, 10443, 6252, 609, 519, 5863, 21146, 2208, 540, 1776, 2101, 4550, 19053, 542, 626, 3196, 267, 519, 570, 12783, 5652, 2572, 269, 4653, 267, 1256, 1498, 5258, 267, 789, 616, 519, 1034, 1271, 5057, 540, 519, 3943, 3665, 2451, 563, 23210, 570, 12783, 5652, 2572, 3895, 606, 4550, 19053, 542, 1143, 799, 12090, 538, 519, 476, 4572, 271, 779, 269, 898, 814, 2760, 1044, 10917, 1229, 676, 513, 605, 268, 29994, 5123, 2147, 547, 519, 835, 799, 519, 4004, 1235, 23384, 538, 476, 3707, 278, 543, 476, 3707, 279, 543, 789, 723, 2760, 7608, 5840, 779, 6228, 269, 1280, 519, 1482, 4128, 607, 519, 4004, 1235, 267, 789, 616, 3843, 547, 6822, 340, 576, 2443, 2421, 1022, 1797, 9789, 6259, 543, 7332, 9922, 540, 3943, 2486, 269, 4256, 3804, 568, 2312, 269, 1358, 1616, 1346, 9922, 547, 5372, 519, 2757, 3943, 2324, 1362, 799, 568, 6385, 642, 4314, 532, 585, 25349, 543, 824, 4128, 267, 607, 741, 1292, 21146, 543, 2797, 4493, 269, 901, 4640, 1266, 11367, 513, 30380, 4550, 19053, 542, 1143, 799, 1419, 20546, 525, 602, 540, 519, 4004, 1235, 563, 29381, 626, 17740, 1218, 25653, 909, 519, 1744, 334, 1695, 1282, 519, 1101, 543, 1256, 811, 865, 267, 519, 2034, 2271, 604, 3385, 269, 901, 942, 789, 1705, 865, 538, 1931, 547, 2285, 13994, 1637, 547, 741, 9097, 4550, 19053, 542, 1143, 267, 19101, 602, 5840, 529, 941, 3257, 547, 519, 13114, 29562, 1018, 519, 21647, 1705, 547, 519, 7642, 269, 769, 713, 1259, 267, 519, 4436, 10963, 24009, 513, 1007, 3140, 1599, 269, 1358, 13087, 519, 570, 12783, 5652, 2572, 547, 2490, 519, 1744, 334, 1695, 1996, 519, 7642, 267, 543, 27313, 1125, 519, 5840, 529, 676, 5009, 513, 11207, 25302, 4605, 540, 519, 5664, 8109, 4655, 269, 2190, 454, 307, 12783, 5652, 2572, 538, 519, 2136, 8003, 454, 310, 626, 5341, 3081, 281, 2005, 568, 513, 8049, 1249, 602, 570, 12783, 5652, 2572, 723, 1044, 9565, 538, 2451, 26310, 10580, 538, 519, 5177, 1765, 520, 2547, 538, 6476, 547, 824, 3864, 2477, 269, 8307, 538, 5333, 1281, 835, 1265, 4376, 6697, 269, 1703, 4667, 547, 581, 1100, 6654, 2601, 4448, 547, 3703, 2486, 610, 2528, 269, 12344, 621, 568, 1644, 547, 519, 8467, 540, 519, 19797, 9549, 267, 799, 535, 12184, 3533, 538, 519, 476, 4198, 271, 338, 538, 6628, 269, 9521, 538, 5333, 543, 7977, 267, 25399, 729, 2760, 1360, 3532, 593, 519, 3703, 19382, 269, 570, 12783, 5652, 1143, 1223, 4061, 6445, 519, 12511, 269, 898, 568, 606, 4244, 1106, 540, 25399, 602, 12217, 1082, 19320, 609, 519, 23237, 1143, 602, 519, 570, 12783, 5652, 2572, 2648, 547, 13842, 543, 642, 559, 1518, 269, 2986, 1576, 267, 519, 570, 12783, 5652, 2572, 941, 32170, 1524, 538, 519, 8168, 5742, 543, 17515, 676, 23237, 626, 1209, 1235, 269, 901, 20655, 1185, 24431, 655, 12792, 896, 2023, 525, 563, 307, 12783, 5652, 2572, 723, 1044, 6353, 676, 606, 7920, 1093, 12661, 673, 1648, 543, 723, 1419, 1044, 538, 519, 21282, 540, 519, 968, 21468, 21553, 704, 658, 626, 6560, 1848, 2060, 519, 12900, 540, 4013, 25399, 1310, 476, 1960, 271, 538, 1034, 2694, 540, 519, 1158, 267, 789, 4718, 513, 4960, 585, 2933, 547, 1831, 1018, 789, 1289, 513, 968, 516, 23728, 776, 642, 1481, 731, 3034, 1103, 741, 1523, 540, 519, 1158, 267, 27098, 1143, 814, 585, 5756, 1044, 538, 2169, 878, 2406, 5532, 609, 2518, 16851, 543, 1977, 22030, 269, 1452, 941, 849, 519, 11360, 2284, 539, 2453, 540, 8168, 18259, 269, 634, 21340, 10504, 814, 25540, 267, 540, 1576, 267, 855, 519, 570, 12783, 5652, 2572, 616, 1869, 4881, 609, 519, 3440, 269, 4256, 2338, 616, 1507, 855, 789, 723, 4557, 13369, 267, 20748, 9015, 267, 543, 946, 15931, 12485, 540, 22467, 1674, 269, 1358, 723, 13736, 891, 811, 3927, 538, 2487, 5756, 538, 519, 5177, 982, 5310, 9170, 3116, 269, 570, 12783, 5652, 2572, 22467, 3603, 519, 23267, 9549, 543, 519, 4123, 18787, 538, 519, 840, 5174, 331, 1515, 5736, 269, 1284, 1294, 519, 15280, 5613, 538, 7911, 22574, 3527, 2221, 1996, 5840, 267, 17275, 676, 1004, 945, 4682, 998, 713, 4550, 19053, 542, 626, 967, 24934, 337, 1588, 543, 723, 5293, 621, 593, 269, 1839, 454, 15404, 32093, 543, 519, 26184, 19382, 454, 307, 16331, 773, 742, 814, 11329, 856, 519, 16726, 540, 519, 5771, 626, 1935, 602, 519, 1439, 1175, 5809, 519, 1797, 547, 22255, 514, 779, 543, 570, 12783, 5652, 779, 14985, 269, 1261, 1064, 1243, 602, 585, 519, 968, 11321, 343, 626, 610, 874, 753, 2223, 602, 568, 267, 519, 22255, 514, 1235, 267, 570, 12783, 5652, 2572, 267, 543, 12059, 2622, 1235, 267, 607, 1134, 607, 585, 519, 29450, 1235, 267, 1007, 13592, 540, 7225, 324, 22785, 30867, 4082, 646, 27422, 547, 4550, 4149, 30146, 1765, 1889, 564, 741, 3747, 585, 2495, 538, 1272, 269, 2918, 454, 1103, 476, 4198, 275, 267, 14787, 24527, 11066, 5206, 513, 25761, 2376, 593, 968, 6343, 7907, 267, 1018, 21274, 2291, 538, 5771, 267, 538, 9099, 10340, 543, 2486, 267, 799, 1522, 2901, 7520, 610, 15641, 324, 519, 4434, 540, 4004, 1143, 3034, 299, 1168, 529, 11329, 856, 602, 21340, 18259, 1996, 519, 4639, 1223, 2141, 7048, 593, 513, 2318, 3210, 689, 519, 7332, 1158, 950, 621, 16091, 22030, 269, 1703, 267, 25399, 849, 1336, 513, 2707, 540, 29059, 1317, 540, 519, 3665, 5104, 868, 777, 3789, 540, 519, 4057, 13999, 543, 519, 1906, 1360, 14547, 1004, 538, 7332, 2477, 269, 11066, 7074, 602, 519, 21340, 14985, 540, 519, 1533, 598, 268, 512, 13764, 2804, 1272, 729, 711, 865, 9813, 547, 519, 1158, 540, 5771, 269, 1261, 849, 7682, 539, 602, 8942, 547, 1397, 602, 5771, 543, 9111, 941, 9838, 941, 1759, 593, 968, 320, 3765, 24483, 540, 5771, 610, 9111, 267, 610, 1312, 1848, 2767, 454, 29909, 24239, 1296, 2663, 654, 626, 5341, 9916, 519, 3390, 540, 25399, 543, 519, 1158, 540, 5771, 269, 1677, 11066, 779, 4879, 646, 3773, 519, 811, 2487, 5698, 581, 268, 512, 1048, 519, 3665, 2451, 543, 9097, 5771, 1235, 269, 1261, 20926, 6259, 24752, 31767, 22681, 6205, 6723, 13206, 1662, 267, 945, 7150, 602, 1010, 13617, 540, 519, 12813, 302, 16668, 8449, 593, 8168, 543, 22504, 4909, 626, 2959, 540, 6667, 269, 968, 19741, 16809, 267, 649, 723, 538, 1455, 4550, 21553, 704, 658, 626, 267, 4550, 19053, 542, 626, 543, 4550, 268, 29994, 328, 2609, 1848, 2764, 454, 310, 626, 5341, 5206, 602, 1082, 26757, 2572, 849, 2671, 519, 22255, 21442, 6240, 602, 968, 3369, 7241, 8992, 519, 4838, 568, 1434, 543, 8726, 1727, 4680, 621, 267, 568, 3983, 1848, 3066, 634, 10966, 6651, 540, 519, 22504, 9099, 6243, 267, 15718, 520, 3326, 1695 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1548, 568, 519, 5506, 646, 14405, 692, 2162, 17438, 4530, 5623, 4569, 476, 273, 269, 513, 269, 1548, 568, 286, 536, 269, 1548, 568, 286, 524, 269, 630, 3738, 546, 269, 630, 25589, 23536, 1464, 4530, 5623, 4569, 476, 273, 8745, 476, 272, 269, 2422, 519, 1739, 642, 3317, 6516, 547, 2626, 519, 2243, 281, 7926, 589, 281, 744, 9536, 10606, 7926, 645, 281, 10606, 3152, 982, 476, 1015, 513, 269, 1548, 568, 286, 536, 269, 1548, 568, 286, 524, 269, 630, 3738, 546, 269, 630, 3738, 476, 273, 269, 769, 26778, 781, 4630, 3266, 558, 692, 2162, 25043, 547, 10789, 769, 4147, 281, 15766, 908, 17438, 692, 28062, 725, 547, 10789, 769, 4147, 281, 15766, 908, 17438, 8745, 11261, 1215, 666, 594, 946, 5506, 547, 1118, 11236, 286, 5620, 596, 2479, 6836, 547, 3589, 799, 11176, 2319, 786, 3094, 513, 2462, 3014, 286, 1403, 865, 267, 596, 4440, 692, 2162, 901, 17438, 13268, 564, 5617, 29330, 547, 1384, 1607, 17438, 13268, 564, 5617, 29330, 547, 281, 476, 272, 476, 273, 13749, 1948, 272, 281, 631, 1299, 631, 521, 476, 272, 269, 1548, 568, 519, 3732, 2230, 540, 707, 9126, 540, 631, 261, 300, 521, 286, 476, 273, 269, 4855, 519, 7811, 5506, 540, 519, 631, 261, 300, 521, 538, 707, 9126, 269, 3973, 267, 1747, 519, 17711, 1394, 883, 692, 2162, 6657, 476, 280, 268, 272, 269, 17438, 692, 20797, 476, 280, 268, 272, 17438, 1411, 8095, 513, 8095, 1676, 22921, 476, 272, 998, 476, 1015, 269, 3962, 6364, 568, 8449, 2693, 269, 4855, 519, 17831, 2630, 607, 513, 6824, 267, 8918, 267, 543, 2600, 269, 476, 272, 269, 623, 263, 280, 264, 476, 273, 269, 623, 16216, 1597, 264, 476, 274, 269, 623, 28840, 476, 275, 269, 623, 9852, 738, 2118, 692, 2162, 17438, 540, 18763, 543, 667, 8817, 15638, 692, 3583, 277, 6657, 589, 17438, 540, 769, 543, 3134, 754, 550, 15638, 3235, 728, 2436, 1142, 1305, 540, 2621, 568, 610, 269, 11512, 707, 2626, 907, 589, 2875, 30809, 513, 8095, 1676, 543, 20061, 513, 1297, 13306, 907, 589, 2875, 26717, 513, 986, 742, 548, 19044, 689, 692, 2162, 11483, 290, 19072, 8025, 476, 23211, 2598, 4740, 23113, 4083, 11354, 267, 14581, 476, 276, 692, 5425, 290, 19072, 8025, 476, 23211, 2598, 4740, 23113, 4083, 11354, 267, 476, 1001, 271, 14581, 476, 276, 8745, 476, 272, 269, 589, 3670, 521, 3660, 5884, 667, 630, 5976, 5011, 22921, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 264, 568, 16207, 2899, 269, 513, 269, 1548, 568, 519, 5506, 602, 513, 476, 274, 568, 16207, 286, 536, 269, 1548, 568, 519, 692, 2162, 4635, 5303, 547, 18430, 513, 29896, 269, 661, 7704, 28718, 3201, 32530, 3582, 1215, 666, 596, 946, 2029, 13502, 547, 7447, 17831, 2496, 286, 700, 8577, 2177, 476, 277, 269, 275, 27588, 543, 18430, 532, 513, 29896, 585, 513, 11822, 7926, 1411, 666, 946, 513, 24275, 9498, 610, 2780, 547, 5352, 4351, 2338, 543, 2932, 513, 11191, 269, 12327, 21283, 4041, 476, 272, 4635, 5303, 547, 18430, 692, 2162, 476, 1321, 269, 272, 6657, 589, 269, 8745, 11261, 269, 769, 20113, 476, 272, 543, 476, 273, 267, 1265, 519, 1297, 540, 2009, 4093, 538, 519, 3732, 2230, 269, 3973, 1592, 519, 2009, 4093, 780, 11243, 11261, 476, 1321, 269, 272, 6657, 589, 769, 20113, 476, 272, 543, 476, 273, 267, 1265, 519, 1297, 540, 2009, 4093, 538, 519, 3732, 2230, 269, 3973, 1592, 519, 2009, 4093, 269, 476, 272, 269, 1411, 16212, 1614, 11113, 269, 476, 273, 269, 589, 804, 1144, 814, 1614, 13711, 31148, 692, 2162, 1548, 568, 519, 5506, 16888, 786, 4584, 513, 2699, 18899, 856, 540, 519, 9126, 543, 2244, 593, 519, 2699, 3296, 950, 18343, 519, 8095, 1676, 2496, 11243, 281, 4147, 281, 11261, 281, 7726, 1948, 272, 16888, 814, 513, 9126, 540, 27371, 543, 513, 8095, 1676, 269, 634, 9126, 540, 27371, 814, 476, 1015, 27371, 538, 621, 267, 476, 277, 540, 799, 616, 2699, 269, 634, 8095, 1676, 568, 5258, 883, 476, 275, 3160, 6810, 281, 4544, 267, 3039, 267, 2699, 267, 543, 692, 2162, 17438, 269, 11525, 8494, 1399, 6764, 1601, 32079, 9521, 569, 4982, 958, 6145, 569, 6145, 569, 15742, 692, 24165, 289, 5723, 6579, 14510, 17438, 634, 10171, 610, 4960, 540, 606, 2680, 9648, 1403, 606, 2680, 568, 29313, 5308, 10485, 25770, 922, 5506, 568, 2098, 2207, 302, 1403, 606, 2680, 568, 595, 12224, 288, 2562, 922, 5506, 568, 21450, 1924, 782, 17831, 9114, 1063, 476, 271, 692, 2162, 3848, 476, 271, 281, 27759, 585, 11628, 10789, 692, 8893, 476, 271, 268, 272, 281, 11724, 532, 12793, 11261, 281, 7151, 476, 272, 281, 700, 11229, 18509, 7149, 8745, 519, 9076, 656, 538, 799, 519, 1448, 568, 4092, 269, 7151, 476, 273, 281, 10576, 23792, 543, 16186, 3557, 519, 6389, 543, 2039, 540, 1142, 6935, 780, 2162, 14419, 519, 1401, 4624, 1871, 585, 1142, 5884, 281, 4414, 267, 9791, 543, 5682, 269, 9122, 593, 707, 9273, 689, 7726, 476, 272, 267, 798, 596, 1589, 519, 3014, 568, 4023, 2496, 9172, 9955, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 476, 1321, 30263, 9539, 4944, 790, 27148, 9906, 476, 6344, 1295, 4985, 6884, 1919, 1175, 1810, 512, 2661, 909, 547, 741, 6788, 269, 769, 713, 2534, 596, 786, 2263, 1614, 2027, 18062, 543, 3313, 0, 1012, 14506, 281, 13705, 1149, 543, 30332, 31131, 1944, 16544, 19612, 22252, 958, 910, 8791, 476, 272, 281, 13852, 960, 692, 296, 899, 1210, 1053, 607, 519, 4116, 950, 8380, 1344, 593, 519, 4604, 269, 3733, 1053, 2648, 547, 946, 519, 12829, 4604, 543, 723, 1852, 540, 519, 1362, 269, 476, 1109, 296, 723, 1082, 1053, 602, 7119, 538, 14364, 865, 2348, 513, 2875, 28068, 519, 1362, 666, 581, 19278, 269, 594, 798, 693, 2053, 991, 3442, 519, 834, 974, 12329, 257, 5402, 2094, 930, 540, 519, 1053, 666, 581, 936, 10565, 543, 16297, 689, 519, 1565, 4305, 780, 1607, 1505, 1568, 1134, 952, 596, 723, 513, 2875, 602, 568, 2141, 16462, 547, 2626, 519, 2055, 543, 519, 824, 1053, 917, 789, 798, 711, 991, 547, 960, 2094, 1100, 835, 786, 1289, 593, 873, 269, 5620, 519, 2875, 945, 596, 917, 17358, 581, 519, 4116, 543, 646, 666, 1289, 593, 519, 824, 1053, 780, 3080, 5413, 540, 1210, 513, 2875, 547, 1289, 593, 1866, 543, 2594, 519, 6114, 568, 602, 596, 666, 1847, 1472, 519, 4055, 543, 1294, 945, 568, 7722, 543, 945, 568, 11821, 269, 1403, 594, 1294, 513, 2875, 10010, 594, 2911, 547, 519, 2875, 547, 1265, 856, 1018, 789, 798, 711, 1174, 543, 1287, 2307, 2055, 547, 723, 519, 834, 974, 12329, 257, 2626, 780, 22923, 607, 513, 11819, 454, 305, 719, 1149, 543, 30332, 281, 9906, 607, 513, 11819, 692, 258, 31131, 1944, 16544, 19612, 22252, 958, 692, 16215, 476, 280, 281, 26344, 6248, 5772, 885, 454, 8893, 476, 272, 540, 476, 1691, 692, 1012, 8262, 22830, 281, 1215, 666, 594, 1265, 519, 1871, 540, 824, 25066, 3252, 952, 594, 1152, 917, 835, 610, 1079, 2418, 2496, 19530, 7689, 454, 272, 4116, 15055, 713, 3992, 454, 18184, 1841, 912, 20428, 4433, 2187, 13043, 267, 26344, 6248, 5772, 2572, 267, 7638, 1518, 1154, 5772, 2572, 454, 2004, 3764, 692, 2162, 22186, 25978, 590, 1706, 802, 692, 7462, 5381, 16497, 692, 30607, 1548, 798, 10222, 9201, 723, 547, 798, 609, 19449, 3380, 888, 31580, 4083, 9732, 26344, 6248, 12793, 454, 19136, 22830, 281, 1215, 568, 519, 1770, 5858, 1644, 547, 834, 28256, 4120, 6482, 22172, 589, 1650, 540, 1079, 6697, 8847, 563, 293, 2948, 2572, 263, 1015, 994, 4910, 1545, 263, 1704, 994, 293, 677, 19811, 267, 2910, 454, 5319, 1444, 281, 4427, 18076, 692, 30607, 26344, 6248, 5772, 885, 910, 4303, 476, 272, 540, 476, 273, 454, 1321, 628, 6103, 4569, 9732, 26344, 6248, 17716, 454, 19136, 22830, 281, 17291, 1018, 2306, 513, 4645, 4082, 1950, 786, 1832, 596, 5059, 593, 1018, 2115, 547, 581, 16866, 563, 293, 2948, 2572, 263, 273, 994, 4910, 1545, 263, 1691, 994, 307, 5797, 267, 24696, 454, 5319, 1444, 281, 4427, 18076, 692, 30607, 24531, 17832, 5772, 885, 630, 21196, 476, 275, 540, 476, 275, 994, 1321, 628, 6103, 4569, 9732, 26344, 6248, 12307, 454, 19136, 22830, 281, 4841, 946, 30263, 9539, 4944, 790, 26732, 547, 1020, 741, 1378, 24300, 540, 1018, 25066, 9163, 616, 543, 1946, 789, 960, 563, 293, 2948, 2572, 263, 271, 994, 4910, 1545, 263, 2190, 994, 4942, 14535, 1460, 267, 589, 313, 454, 5319, 1444, 281, 12124, 0, 258, 476, 2420, 8648, 7305, 18527, 15873, 692, 1103, 476, 2420, 2053, 3349, 8691, 5750, 649, 786, 1451, 827, 519, 7515, 543, 1287, 649, 786, 2259, 519, 3635, 780, 19530, 856, 519, 8691, 3349, 540, 476, 2420, 543, 13793, 621, 593, 707, 3774, 799, 786, 948, 596, 547, 1451, 476, 2420, 2053, 7515, 780, 4131, 779, 2259, 1863, 8691, 3349, 689, 519, 2630, 3635, 1310, 1565, 476, 2420, 2053, 3349, 8691, 5750, 780, 19865, 593, 476, 2420, 2053, 3349, 1384, 2420, 6398, 476, 278, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 1691, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 280, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 1556, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 271, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 1428, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 275, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 1240, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 279, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 1321, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 276, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 1015, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 273, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 866, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 277, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 1626, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 274, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 1724, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 272, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 2641, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 275, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 1015, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 278, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 1321, 815, 2560, 8796, 16634, 16317, 2420, 6398, 476, 276, 815, 2560, 8796, 16634, 1547, 18987, 1109, 476, 2420, 6398, 476, 1556, 815, 2560, 8796, 16634, 16317, 12441, 333, 1405, 1265, 1018, 596, 941, 3168, 585, 286, 2107, 1616, 547, 917, 811, 1344, 827, 4569, 8307, 4569, 269, 2422, 713, 5616, 9612, 547, 1265, 1018, 596, 991, 780, 1012, 10765, 15080, 692, 272, 269, 12693, 6396, 540, 700, 5861, 8160, 269, 1923, 15531, 700, 5861, 8160, 269, 1923, 9540, 652, 5871, 13038, 1923, 5871, 692, 14257, 476, 1428, 267, 476, 2190, 476, 4905, 281, 3066, 7537, 692, 2171, 786, 1865, 1934, 827, 519, 1505, 540, 561, 6983, 6230, 269, 630, 548, 770, 1455, 2789, 1040, 2913, 721, 2015, 519, 2338, 476, 279, 267, 476, 1321, 543, 476, 1626, 269, 11638, 1255, 540, 476, 279, 616, 9890, 476, 279, 267, 476, 1626, 267, 476, 2190, 267, 476, 3953, 267, 476, 2412, 267, 476, 4366, 267, 476, 6321, 267, 476, 5038, 267, 476, 7761, 267, 476, 3199, 267, 476, 6434, 267, 476, 9834, 267, 10371, 1862, 780, 273, 269, 12693, 5871, 11638, 1255, 1923, 1215, 547, 4855, 5871, 11638, 1255, 540, 5565, 10606, 2496, 14257, 476, 1428, 267, 476, 2190, 476, 4905, 281, 1724, 7537, 692, 13349, 23385, 540, 1079, 610, 811, 2016, 2338, 616, 519, 2338, 799, 666, 4010, 581, 5258, 676, 1142, 540, 519, 2016, 2338, 269, 6333, 519, 1739, 269, 630, 328, 264, 11638, 1255, 540, 476, 274, 616, 281, 476, 274, 267, 476, 277, 267, 476, 280, 267, 476, 1321, 267, 476, 1428, 267, 476, 1240, 267, 476, 2641, 267, 476, 2190, 2507, 692, 274, 269, 12693, 2274, 770, 5871, 13038, 1923, 20181, 652, 5871, 13038, 347, 22102, 652, 5871, 13038, 692, 14257, 476, 1691, 267, 476, 2190, 476, 6734, 281, 6187, 6751, 692, 763, 2547, 1455, 2789, 630, 299, 5861, 8160, 4700, 540, 1079, 610, 811, 2338, 568, 519, 10545, 1297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11701, 17594, 855, 31185, 849, 4667, 2731, 3579, 8945, 1934, 2807, 1862, 6068, 519, 21107, 630, 628, 333, 343, 3009, 3832, 325, 264, 12943, 476, 1240, 5463, 1412, 1691, 267, 476, 5400, 281, 2420, 476, 10619, 22461, 274, 3398, 2557, 281, 476, 279, 14999, 476, 271, 585, 1775, 815, 476, 272, 547, 715, 281, 585, 795, 815, 476, 271, 547, 476, 9083, 274, 281, 31185, 5157, 6012, 329, 316, 815, 31185, 5157, 910, 476, 272, 6012, 329, 316, 1923, 31185, 5157, 910, 476, 272, 6012, 329, 9745, 513, 5157, 14963, 875, 568, 713, 2324, 7790, 286, 3478, 7411, 538, 1620, 713, 851, 2073, 666, 2576, 2491, 621, 547, 803, 269, 726, 3960, 345, 12943, 476, 866, 5463, 1412, 1691, 267, 476, 1724, 281, 6812, 476, 273, 26926, 483, 339, 9500, 339, 335, 476, 2764, 22461, 272, 22461, 275, 3398, 2557, 281, 476, 271, 14999, 476, 271, 4208, 1250, 3070, 568, 711, 2324, 7790, 594, 723, 29499, 1250, 5690, 538, 519, 3009, 269, 3733, 3070, 12943, 476, 736, 5463, 1412, 1691, 267, 476, 866, 281, 4649, 476, 273, 26926, 483, 338, 323, 3195, 910, 272, 22461, 273, 22461, 275, 3398, 2557, 281, 476, 271, 14999, 476, 271, 594, 6836, 6067, 9037, 1935, 585, 713, 1966, 543, 621, 1705, 711, 960, 269, 2052, 930, 835, 5225, 1448, 856, 519, 12161, 538, 1250, 7954, 270, 1952, 25209, 269, 3371, 568, 1018, 594, 1705, 2473, 3036, 918, 609, 1142, 540, 519, 2609, 538, 519, 5044, 269, 17166, 519, 1267, 568, 513, 269, 594, 4584, 519, 3193, 513, 543, 1287, 2119, 547, 2473, 3036, 621, 609, 519, 6967, 2609, 263, 821, 3693, 693, 513, 942, 264, 543, 1294, 952, 519, 1871, 540, 513, 568, 2799, 610, 711, 269, 2913, 721, 2161, 519, 1871, 568, 536, 269, 1403, 536, 568, 3152, 982, 513, 267, 1287, 1775, 786, 936, 20183, 513, 609, 519, 1871, 540, 536, 269, 19244, 713, 1184, 2394, 536, 3436, 513, 269, 19227, 1775, 786, 2165, 3729, 519, 7954, 17776, 519, 2063, 1871, 540, 513, 952, 513, 568, 3152, 982, 918, 269, 610, 3116, 2132, 918, 12989, 568, 1250, 3070, 538, 10084, 5291, 2517, 4178, 6983, 1712, 3832, 325, 2593, 270, 1613, 338, 1828, 270, 4649, 274, 275, 4792, 280, 12943, 476, 2641, 5463, 1412, 1691, 267, 476, 1015, 281, 3066, 476, 272, 3398, 2557, 281, 476, 271, 14999, 476, 271, 7711, 577, 7159, 534, 11463, 1946, 519, 595, 10030, 5254, 299, 781, 796, 23912, 27133, 568, 711, 2324, 538, 1747, 540, 1305, 7790, 286, 12943, 476, 1240, 3057, 1412, 1428, 267, 476, 2537, 281, 1724, 476, 273, 26926, 483, 321, 1690, 1690, 277, 476, 4375, 22461, 272, 22461, 274, 22461, 276, 3398, 2557, 281, 476, 271, 14999, 476, 271, 834, 604, 972, 6818, 513, 15410, 623, 540, 589, 314, 272, 907, 328, 910, 476, 272, 316, 971, 602, 674, 27456, 264, 815, 795, 9745, 513, 5157, 3910, 1287, 674, 27456, 264, 9745, 513, 5157, 316, 815, 795, 267, 865, 972, 6818, 513, 15410, 623, 262, 540, 589, 314, 272, 907, 328, 316, 971, 602, 674, 27456, 10807, 815, 795, 257, 2052, 4896, 2491, 519, 1657, 3948, 286, 12943, 476, 6860, 2904, 1412, 1428, 267, 476, 5881, 281, 6872, 476, 272, 3398, 2557, 281, 476, 271, 14999, 476, 271, 2052, 4896, 2491, 1946, 589, 314, 271, 907, 328, 268, 272, 316, 2348, 519, 1871, 795, 2306, 621, 2556, 585, 589, 314, 271, 1862, 328, 316, 547, 723, 1871, 795, 543, 849, 519, 1985, 2783, 286, 296, 6415, 711, 1620, 713, 31185, 269, 12943, 476, 1556, 8734, 1412, 1428, 267, 476, 1724, 281, 4375, 476, 274, 26926, 483, 12033, 32256, 476, 8618, 22461, 274, 3398, 2557, 281, 476, 271, 14999, 476, 271, 875, 1705, 649, 3914, 519, 3932, 602, 1535, 528, 540, 1022, 15410, 540, 519, 2338, 1447, 982, 476, 1911, 271, 786, 581, 1447, 982, 476, 9083, 274, 286, 12943, 476, 6860, 5463, 1412, 1428, 267, 476, 1626, 281, 4649, 476, 272, 3398, 2557, 281, 476, 271, 260, 10606, 909, 547, 476, 1911, 271, 723, 7060, 540, 476, 273, 909, 547, 476, 280, 538, 741, 9352, 6041, 630, 273, 317, 280, 815, 476, 24423, 1040, 9747, 267, 519, 1535, 528, 540, 891, 2338, 568, 693, 1034, 834, 9340, 9340, 9340, 272, 2580, 1775, 4318, 269, 476, 273, 317, 271, 1341, 476, 273, 317, 272, 1341, 3267, 1341, 476, 273, 317, 280, 815, 476, 9083, 274, 269, 630, 6860, 5463, 1412, 1428, 267, 476, 1704, 281, 4962, 264, 544, 690, 619, 276, 26926, 483, 454, 476, 271, 1215, 798, 649, 1265, 856, 513, 1016, 268, 6783, 2348, 5021, 1535, 528, 1871, 286, 12943, 476, 2537, 3057, 1412, 1626, 267, 476, 866, 281, 1691, 476, 275, 26926, 483, 338, 600, 23950, 341, 476, 2767, 22461, 272, 3398, 2557, 281, 476, 736, 260, 20994, 267, 594, 6415, 7340, 547, 1039, 519, 2262, 7561, 269, 630, 2537, 3057, 1412, 1626, 267, 476, 866, 281, 1626, 264, 7663, 23950, 341, 275, 26926, 483, 454, 476, 271, 901, 13181, 2376, 729, 1360, 11121, 8436, 594, 4126, 972, 786, 6157, 581, 1543, 547, 4001, 519, 1985, 1543, 7490, 849, 3643, 1250, 1357, 3135, 693, 12567, 6465, 826, 12943, 476, 2537, 3057, 1412, 1626, 267, 476, 2641, 281, 4905, 476, 272, 3398, 2557, 281, 476, 271, 14999, 476, 271, 901, 2376, 729, 1360, 11121, 8436, 594, 4126, 972, 786, 581, 1543, 547, 4051, 519, 1985, 1543, 1411, 1058, 849, 3643, 1250, 1357, 3135, 693, 7195, 328, 17700, 6465, 826, 12943, 476, 2537, 3057, 1412, 1626, 267, 476, 2641, 281, 6349, 476, 272, 3398, 2557, 281, 476, 271, 14999, 476, 271, 519, 26099, 568, 2356, 513, 3301, 602, 649, 616, 2111, 547, 946, 547, 12740, 7270, 24625, 908, 609, 3406, 2599, 11938, 2553, 269, 585, 1346, 540, 596, 945, 1131, 899, 547, 1451, 1357, 11938, 5225, 3643, 938, 3896, 808, 14505, 22048, 519, 26099, 568, 513, 6293, 602, 649, 3096, 547, 2087, 7270, 2324, 609, 3406, 2599, 11938, 2409, 269, 585, 1346, 540, 596, 945, 6999, 547, 1451, 4217, 538, 5225, 3643, 4950, 3135, 12943, 476, 2537, 3057, 1412, 1626, 267, 476, 2641, 281, 6734, 476, 272, 3398, 2557, 281, 476, 271, 14999, 476, 271, 901, 2376, 729, 1360, 11121, 8436, 594, 4126, 972, 786, 6157, 581, 1543, 547, 4051, 519, 1985, 1543, 7490, 849, 3643, 1250, 3896, 693, 595, 14417, 7195, 328, 12943, 476, 2537, 3057, 1412, 1626, 267, 476, 2641, 281, 6860, 476, 272, 3398, 2557, 281, 476, 271, 14999, 476, 271, 519, 26099, 568, 513, 3926, 602, 649, 1223, 1118, 946, 540, 547, 11126, 7270, 24625, 908, 609, 3406, 2599, 11938, 2994, 269, 585, 1346, 540, 596, 945, 1131, 899, 547, 1451, 3406, 2599, 20823, 5225, 3643, 4950, 3135, 808, 14505, 22048, 3335, 519, 26099, 568, 513, 1982, 602, 649, 3096, 547, 11694, 7270, 2324, 609, 3406, 2599, 11938, 2553, 269, 585, 1346, 540, 596, 945, 1131, 899, 547, 1451, 3406, 2599, 20823, 5225, 3643, 938, 3896, 12943, 476, 2537, 3057, 1412, 1626, 267, 476, 2641, 281, 6860, 476, 272, 3398, 2557, 281, 476, 271, 14999, 910, 272, 594, 6836, 7008, 540, 2053, 11053, 2532, 258, 476, 279, 268, 1428, 5293, 585, 16265, 2532, 476, 273, 269, 16265, 2532, 476, 272, 4625, 8959, 269, 594, 993, 1869, 11842, 1018, 1705, 1775, 4413, 538, 1250, 3070, 269, 3371, 568, 1250, 3070, 5291, 2517, 4178, 6983, 1712, 3832, 325, 2593, 270, 1613, 338, 1828, 270, 4649, 274, 25784, 273, 1022, 5813, 786, 581, 513, 1390, 948, 269, 11289, 596, 269, 12943, 476, 1704, 5463, 1412, 1691, 267, 476, 4905, 281, 2641, 910, 272, 3398, 2557, 281, 476, 271, 260, 6744, 707, 3070, 3095, 256, 4706, 676, 339, 14657, 1014, 4154, 11777, 1966, 269, 630, 1240, 5463, 1412, 1691, 267, 476, 2641, 281, 7918, 994, 547, 24327, 12744, 2146, 530, 5942, 912, 7093, 1613, 692, 3528, 19478, 1384, 15812, 6658, 17943, 692, 1892, 2608, 1388, 545, 265, 610, 9041, 1388, 545, 29390, 1892, 2878, 321, 1245, 1262, 610, 6449, 321, 1245, 1029, 454, 1892, 3239, 26834, 314, 5306, 1257, 28488, 270, 12949, 270, 19112, 27970, 834, 27583, 5602, 1892, 22921, 1592, 281, 476, 272, 269, 674, 5622, 476, 273, 269, 4446, 454, 1892, 547, 1039, 513, 1899, 2736, 3274, 1039, 1079, 5624, 547, 1141, 596, 1131, 899, 519, 1007, 1899, 547, 581, 563, 1892, 2596, 14103, 16776, 616, 849, 6462, 454, 1892, 1319, 1335, 564, 673, 12596, 538, 17623, 343, 1063, 8096, 3090, 692, 9223, 16776, 1384, 9943, 1428, 267, 5952, 273, 454, 9943, 273, 267, 18891, 454, 9943, 272, 267, 4489, 454, 9943, 4391, 272, 454, 9943, 25248, 692, 23896, 4280, 281, 476, 1428, 5463, 1412, 1691, 267, 476, 866, 281, 6078, 692, 23896, 729, 2938, 281, 476, 2641, 267, 29218, 2053, 692, 18431, 8242, 281, 476, 866, 9947, 1412, 1704, 267, 476, 6187, 281, 2420, 0, 258, 8422, 6261, 2002, 6480, 11582, 18185, 1107, 10222, 9771, 1299, 623, 12224, 29530, 17392, 692, 16248, 6261, 2002, 21501, 568, 513, 1455, 16759, 4480, 538, 3785, 602, 616, 7311, 519, 6751, 296, 12191, 269, 2755, 824, 16759, 2553, 616, 1419, 16363, 547, 581, 811, 4977, 267, 1614, 15304, 21501, 29979, 609, 519, 21083, 610, 12498, 630, 303, 12224, 264, 3892, 568, 3730, 952, 519, 1995, 609, 610, 14541, 12201, 540, 13380, 3785, 616, 711, 2139, 780, 8196, 713, 9498, 547, 3313, 519, 4397, 1942, 610, 8653, 1759, 593, 519, 21083, 543, 519, 12498, 3892, 780, 1012, 4985, 547, 519, 8422, 6261, 2002, 6480, 11582, 18185, 692, 763, 1614, 15304, 16759, 4480, 3340, 1788, 9946, 610, 1641, 2339, 4966, 547, 2097, 909, 609, 476, 274, 1114, 9193, 1644, 547, 606, 23904, 267, 533, 612, 574, 2065, 543, 519, 1034, 2693, 9183, 267, 6606, 269, 769, 1931, 547, 7873, 1619, 891, 1614, 9193, 883, 513, 2582, 4397, 6364, 267, 519, 21083, 543, 519, 12498, 3892, 799, 568, 849, 5219, 547, 607, 519, 623, 12224, 3892, 780, 763, 8422, 15304, 16759, 4480, 568, 849, 538, 519, 9165, 540, 519, 623, 6573, 981, 269, 1403, 596, 991, 811, 4282, 610, 2417, 3137, 267, 1224, 938, 2143, 2376, 593, 519, 8422, 15304, 7447, 267, 922, 9819, 267, 519, 946, 540, 519, 623, 12224, 1505, 610, 2013, 1806, 780, 1012, 18452, 6724, 692, 1103, 1931, 547, 1685, 519, 9819, 267, 519, 1739, 1614, 9193, 616, 2838, 607, 3403, 6724, 1384, 4322, 9193, 616, 1419, 31827, 689, 513, 1283, 16365, 7447, 269, 1358, 666, 849, 581, 5833, 689, 1641, 2339, 4966, 799, 568, 1776, 1455, 1935, 692, 1012, 634, 8422, 6261, 2002, 6480, 11582, 18185, 630, 31590, 9771, 543, 623, 12224, 29530, 17392, 2020, 293, 650, 538, 519, 2338, 2901, 538, 942, 4559, 630, 324, 3052, 269, 2395, 267, 4374, 610, 3275, 264, 610, 1942, 4559, 630, 324, 3052, 269, 812, 1673, 904, 610, 9304, 1040, 634, 9498, 786, 1287, 8850, 1397, 596, 519, 7229, 4397, 2418, 1759, 593, 519, 21083, 543, 12498, 3892, 1505, 780, 1012, 17461, 540, 519, 6726, 566, 692, 763, 21083, 3892, 21410, 606, 796, 7076, 539, 3328, 540, 519, 1614, 9193, 630, 9953, 574, 2065, 267, 533, 612, 574, 2065, 543, 1034, 2693, 2013, 6393, 763, 12498, 3892, 3322, 1210, 513, 12750, 1512, 540, 476, 275, 585, 519, 1034, 2693, 7447, 543, 12270, 519, 2698, 676, 476, 277, 269, 898, 568, 4061, 14968, 539, 3379, 547, 519, 824, 1079, 2798, 269, 4935, 267, 519, 2362, 6010, 17165, 540, 713, 9183, 568, 3144, 883, 2272, 950, 8159, 519, 2949, 4397, 1871, 780, 763, 3044, 11539, 568, 606, 13525, 2838, 676, 519, 5358, 16214, 543, 5623, 26435, 630, 303, 12224, 1040, 1403, 596, 616, 7311, 623, 12224, 547, 7447, 10092, 540, 2238, 267, 596, 786, 991, 519, 3044, 24017, 540, 707, 2534, 2861, 9193, 607, 3403, 6724, 269, 1403, 707, 16759, 568, 3908, 547, 513, 2582, 1796, 17038, 821, 6221, 267, 596, 666, 946, 519, 7229, 3044, 11539, 607, 606, 13525, 540, 875, 4977, 519, 3803, 7447, 568, 780, 1012, 2991, 5320, 692, 763, 8422, 15304, 16759, 568, 4122, 1031, 585, 21501, 519, 942, 543, 1942, 540, 2238, 585, 799, 621, 568, 849, 6700, 676, 519, 6751, 289, 10498, 269, 1284, 4126, 602, 713, 9498, 814, 5280, 596, 3313, 9193, 538, 707, 1788, 610, 538, 519, 1576, 540, 707, 623, 6573, 981, 7041, 780, 2252, 596, 616, 5461, 538, 811, 3877, 267, 1224, 713, 2376, 585, 3877, 543, 606, 1383, 540, 519, 8422, 15304, 16759, 4480, 543, 519, 946, 540, 623, 12224, 538, 713, 2796, 269, 0, 258, 28731, 6991, 2243, 692, 272, 269, 4924, 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 ]
[ 6995, 12406, 547, 1711, 513, 4396, 1570, 269, 834, 2171, 6836, 9256, 609, 513, 2603, 540, 1114, 1919, 2437, 2274, 1013, 518, 1767, 267, 834, 2171, 1256, 6836, 4006, 269, 2334, 729, 2673, 267, 855, 10416, 621, 729, 513, 17711, 7484, 269, 898, 1175, 6854, 13621, 1310, 1373, 1031, 1614, 2053, 1701, 634, 2898, 1448, 729, 547, 1118, 621, 2063, 1279, 267, 865, 2274, 1013, 518, 543, 1010, 4891, 4682, 1394, 547, 519, 20576, 547, 3136, 741, 1382, 269, 7053, 267, 1310, 1082, 8959, 6901, 267, 789, 3357, 909, 609, 513, 3575, 540, 6995, 12406, 543, 513, 18465, 8432, 1067, 476, 602, 8604, 547, 13789, 519, 1259, 2274, 1013, 518, 1185, 4397, 621, 269, 834, 763, 4090, 540, 6616, 519, 7484, 1131, 2965, 1796, 729, 2706, 7721, 322, 1746, 2437, 646, 31061, 269, 834, 2005, 729, 8748, 547, 4235, 602, 1101, 6995, 856, 540, 519, 7484, 269, 898, 9863, 547, 581, 11207, 4502, 519, 7227, 1701, 1656, 1010, 5137, 814, 8810, 20749, 3811, 267, 799, 568, 1175, 9041, 1547, 634, 6995, 11680, 616, 1631, 1459, 538, 4557, 15945, 2066, 2342, 267, 543, 519, 2754, 666, 15991, 1832, 909, 609, 3747, 267, 5781, 9513, 856, 540, 922, 6006, 2228, 269, 2274, 1013, 518, 786, 4166, 10131, 513, 3677, 1899, 540, 6995, 12406, 11680, 543, 849, 960, 593, 513, 2951, 544, 1872, 269, 1809, 1346, 616, 1175, 2110, 3856, 4566, 267, 607, 2274, 1013, 518, 13922, 547, 835, 1554, 946, 13381, 6995, 12406, 547, 1711, 782, 4990, 540, 3730, 8631, 734, 3697, 9212, 543, 11647, 538, 22538, 525, 543, 14060, 269, 1548, 568, 519, 1292, 2856, 540, 519, 8574, 888, 288, 269, 589, 1007, 1259, 540, 9657, 6995, 11680, 563, 289, 269, 20497, 1967, 689, 10438, 6995, 563, 290, 269, 27822, 6995, 12406, 883, 8631, 899, 6995, 11680, 563, 291, 269, 7756, 1587, 9858, 540, 9657, 6995, 12406, 563, 12585, 281, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 1239, 1269, 333, 259, 543, 519, 3077, 630, 719, 2492, 267, 3977, 3092, 264, 4399, 31182, 26635, 4151, 2676, 29264, 519, 2203, 649, 5941, 585, 10503, 6046, 11006, 19367, 269, 8528, 2467, 649, 10924, 602, 649, 1223, 4164, 564, 10078, 519, 1239, 1210, 513, 9971, 19406, 1759, 593, 519, 5277, 6749, 2203, 563, 10112, 11167, 692, 16465, 23813, 10490, 264, 815, 513, 318, 271, 266, 320, 318, 272, 288, 266, 320, 318, 273, 288, 3867, 273, 270, 274, 15396, 320, 318, 274, 288, 13064, 272, 270, 274, 15396, 320, 318, 275, 288, 13064, 272, 348, 2676, 9681, 933, 723, 2947, 30661, 267, 602, 568, 519, 18448, 267, 519, 1269, 288, 259, 8200, 2165, 267, 519, 1269, 288, 3867, 273, 270, 274, 4151, 2165, 543, 519, 1269, 288, 13064, 272, 270, 274, 4151, 543, 1269, 288, 13064, 272, 4151, 2474, 563, 1607, 3947, 1269, 335, 284, 271, 267, 272, 267, 273, 267, 274, 267, 275, 10608, 5015, 649, 723, 1269, 333, 259, 13366, 585, 1142, 27667, 269, 898, 1797, 602, 938, 1374, 5119, 568, 513, 3097, 259, 335, 24585, 562, 259, 5119, 4399, 31182, 346, 311, 31859, 2080, 519, 30661, 616, 1759, 593, 513, 2203, 649, 723, 1500, 269, 589, 2442, 1239, 1305, 799, 568, 4922, 11402, 538, 16066, 3156, 568, 519, 454, 810, 10777, 1496, 920, 9016, 3556, 9949, 1239, 689, 15990, 28488, 10059, 2517, 4178, 4732, 857, 10642, 1311, 2593, 4882, 7220, 270, 14835, 9706, 4512, 13478, 271, 4817, 278, 6078, 278, 2412, 10384, 6858, 272, 280, 286, 16129, 260, 274, 291, 8811, 889, 1040, 634, 1239, 1305, 3568, 1239, 593, 1269, 333, 284, 4968, 876, 259, 5491, 3556, 25963, 609, 30661, 899, 4008, 267, 29281, 4567, 267, 2085, 267, 3924, 267, 2069, 267, 3092, 269, 769, 2698, 972, 616, 1269, 2190, 259, 971, 30661, 610, 10305, 3056, 547, 513, 1374, 5119, 540, 10155, 1275, 1269, 2190, 1422, 9392, 476, 4968, 876, 10608, 901, 568, 2705, 513, 8760, 1966, 543, 649, 786, 2097, 1394, 547, 621, 950, 649, 1865, 8298, 2065, 22953, 269, 476, 7531, 6524, 649, 8399, 1577, 721, 1353, 513, 2013, 689, 5276, 7223, 1141, 649, 2832, 693, 17501, 513, 1305, 540, 1239, 4399, 31182, 26635, 13157, 314, 344, 318, 271, 11971, 318, 272, 12101, 25854, 11971, 3709, 333, 268, 272, 348, 316, 10608, 1284, 1223, 1589, 540, 891, 1239, 607, 513, 1267, 540, 606, 4603, 610, 513, 7294, 10230, 4603, 269, 1452, 1239, 616, 3252, 540, 513, 3126, 540, 4632, 4399, 31182, 12757, 13157, 314, 343, 318, 271, 21726, 318, 272, 12101, 25854, 21726, 3709, 333, 268, 272, 348, 316, 8961, 602, 568, 1269, 344, 10983, 815, 586, 3287, 10983, 7751, 609, 1269, 328, 284, 271, 267, 272, 267, 273, 12101, 25854, 19885, 268, 272, 10608, 634, 4632, 1269, 343, 10983, 259, 1223, 2099, 2168, 9424, 899, 942, 267, 2837, 267, 2990, 3092, 269, 1284, 8263, 602, 1269, 344, 3287, 7751, 568, 513, 5347, 1599, 269, 8528, 7712, 13844, 891, 1239, 2798, 949, 711, 581, 24735, 267, 649, 1616, 547, 946, 891, 1239, 547, 3514, 513, 1599, 799, 666, 1450, 721, 547, 1118, 11236, 585, 2418, 540, 1269, 344, 259, 799, 616, 711, 538, 519, 1459, 1305, 269, 634, 5310, 14724, 1935, 568, 547, 8263, 649, 666, 4164, 564, 10078, 938, 1599, 538, 2474, 540, 513, 9971, 540, 4110, 1269, 333, 268, 272, 259, 609, 1269, 333, 259, 2798, 267, 602, 568, 692, 16465, 344, 284, 344, 3287, 264, 1422, 21375, 586, 3287, 10983, 21174, 339, 32499, 26635, 20731, 328, 10954, 22668, 10983, 7807, 8999, 3709, 329, 284, 271, 8703, 333, 268, 272, 348, 1422, 15883, 19553, 1535, 10983, 317, 329, 10954, 22668, 10983, 2676, 9681, 3602, 4399, 22668, 10983, 259, 568, 519, 5470, 538, 938, 19406, 269, 476, 7531, 2690, 1169, 1305, 540, 2418, 1269, 344, 10983, 21726, 10983, 259, 649, 723, 3976, 519, 7222, 1305, 540, 4834, 692, 16465, 17961, 9387, 265, 8679, 344, 318, 271, 261, 7807, 15883, 318, 271, 10954, 15883, 318, 272, 343, 318, 271, 317, 272, 10954, 15883, 318, 273, 343, 318, 271, 317, 273, 10954, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 318, 271, 3867, 333, 268, 272, 23180, 22668, 318, 271, 11138, 454, 344, 318, 272, 261, 7807, 15883, 318, 271, 10954, 15883, 318, 272, 343, 318, 272, 317, 272, 10954, 15883, 318, 273, 343, 318, 272, 317, 273, 10954, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 318, 272, 3867, 333, 268, 272, 23180, 22668, 318, 272, 11138, 454, 344, 318, 273, 261, 7807, 15883, 318, 271, 10954, 15883, 318, 272, 343, 318, 273, 317, 272, 10954, 15883, 318, 273, 343, 318, 273, 317, 273, 10954, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 318, 273, 3867, 333, 268, 272, 23180, 22668, 318, 273, 11138, 454, 315, 25854, 1299, 1422, 25854, 8607, 454, 344, 3709, 333, 268, 272, 31905, 7807, 15883, 318, 271, 10954, 15883, 318, 272, 343, 3709, 333, 268, 272, 11892, 272, 10954, 15883, 318, 273, 343, 3709, 333, 268, 272, 11892, 273, 10954, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 3709, 333, 268, 272, 8703, 333, 268, 272, 23180, 22668, 3709, 333, 268, 272, 20467, 11138, 454, 17910, 9387, 265, 8679, 9681, 9377, 1456, 519, 10321, 692, 16465, 315, 31182, 26635, 348, 815, 1496, 344, 318, 271, 11971, 318, 272, 267, 586, 318, 273, 12101, 25854, 267, 586, 3709, 333, 268, 272, 348, 316, 317, 307, 2676, 9681, 663, 692, 16465, 315, 31182, 3189, 15883, 348, 815, 1496, 315, 15883, 318, 271, 12101, 15883, 318, 272, 267, 1422, 15883, 318, 273, 12101, 25854, 267, 1422, 15883, 3709, 333, 268, 272, 348, 316, 317, 307, 2676, 9681, 663, 692, 16465, 315, 31182, 3189, 22668, 348, 815, 1496, 315, 22668, 318, 271, 12101, 22668, 318, 272, 267, 1422, 22668, 318, 273, 12101, 25854, 267, 1422, 22668, 3709, 333, 268, 272, 348, 316, 317, 307, 2676, 9681, 663, 519, 1374, 5119, 692, 16465, 315, 31182, 346, 311, 13157, 454, 17961, 21421, 348, 3097, 272, 261, 1535, 3709, 271, 11892, 272, 1299, 343, 3709, 271, 11892, 273, 261, 1422, 25854, 1299, 1422, 25854, 1299, 343, 3709, 271, 8703, 333, 268, 272, 27874, 454, 272, 261, 1535, 3709, 272, 11892, 272, 1299, 343, 3709, 272, 11892, 273, 261, 1422, 25854, 1299, 1422, 25854, 1299, 343, 3709, 272, 8703, 333, 268, 272, 27874, 454, 272, 261, 1535, 3709, 273, 11892, 272, 1299, 343, 3709, 273, 11892, 273, 261, 1422, 25854, 1299, 1422, 25854, 1299, 343, 3709, 273, 8703, 333, 268, 272, 27874, 4449, 11434, 454, 315, 25854, 261, 1422, 25854, 1299, 315, 25854, 261, 1422, 25854, 1299, 1422, 25854, 1299, 315, 25854, 11138, 454, 272, 261, 1535, 3709, 333, 268, 272, 11892, 272, 1299, 343, 3709, 333, 268, 272, 11892, 273, 261, 1422, 25854, 1299, 1422, 25854, 1299, 343, 3709, 333, 268, 272, 8703, 333, 268, 272, 27874, 454, 17910, 21421, 8679, 9681, 933, 666, 27682, 938, 4834, 607, 692, 16465, 315, 31182, 26635, 348, 815, 1422, 31182, 346, 311, 4153, 31182, 3189, 15883, 23180, 31182, 3189, 22668, 348, 563, 9681, 763, 1657, 1374, 5119, 568, 1572, 513, 1496, 309, 663, 1069, 27475, 5119, 28488, 10059, 2517, 523, 25769, 3820, 28293, 270, 309, 663, 1069, 27475, 24624, 6393, 2171, 616, 15069, 711, 3908, 547, 519, 1657, 9971, 20073, 687, 269, 476, 1284, 454, 322, 746, 5372, 519, 1585, 7060, 540, 1269, 343, 259, 609, 2609, 540, 22263, 454, 338, 7685, 610, 3079, 540, 1269, 343, 10983, 317, 329, 259, 649, 1223, 723, 4399, 6523, 18950, 329, 1535, 10983, 264, 4151, 610, 4399, 7562, 18950, 329, 454, 343, 10983, 264, 20954, 610, 942, 3126, 610, 824, 26667, 3252, 269, 476, 1280, 1169, 1305, 454, 1993, 2418, 1269, 344, 10983, 21726, 10983, 259, 649, 666, 1287, 2489, 1125, 519, 4834, 547, 692, 16465, 17961, 9387, 265, 8679, 344, 318, 271, 261, 7807, 15883, 318, 271, 343, 3709, 876, 23180, 15883, 318, 272, 343, 3709, 4905, 23180, 15883, 318, 273, 343, 3709, 6349, 23180, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 3709, 271, 333, 268, 272, 23180, 22668, 318, 271, 11138, 454, 344, 318, 272, 261, 7807, 15883, 318, 271, 343, 3709, 1015, 23180, 15883, 318, 272, 343, 3709, 1556, 23180, 15883, 318, 273, 343, 3709, 1321, 23180, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 3709, 272, 333, 268, 272, 23180, 22668, 318, 272, 11138, 454, 344, 318, 273, 261, 7807, 15883, 318, 271, 343, 3709, 736, 23180, 15883, 318, 272, 343, 3709, 2641, 23180, 15883, 318, 273, 343, 3709, 2420, 23180, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 3709, 273, 333, 268, 272, 23180, 22668, 318, 273, 11138, 454, 315, 25854, 1299, 1422, 25854, 8607, 454, 344, 3709, 328, 31905, 7807, 15883, 318, 271, 343, 3709, 328, 271, 23180, 15883, 318, 272, 343, 3709, 328, 272, 23180, 15883, 318, 273, 343, 3709, 328, 273, 23180, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 3709, 514, 268, 272, 23180, 22668, 10983, 11138, 454, 315, 25854, 1299, 1422, 25854, 8607, 454, 344, 3709, 333, 268, 272, 31905, 7807, 15883, 318, 271, 343, 3709, 333, 268, 272, 267, 271, 23180, 15883, 318, 272, 343, 3709, 333, 268, 272, 267, 273, 23180, 15883, 318, 273, 343, 3709, 333, 268, 272, 267, 273, 23180, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 3709, 333, 268, 272, 19885, 268, 272, 23180, 22668, 3709, 333, 268, 272, 20467, 11138, 454, 17910, 9387, 265, 8679, 9681, 1262, 9616, 602, 649, 723, 1269, 335, 284, 333, 259, 1934, 269, 634, 5119, 568, 21136, 269, 901, 568, 3622, 711, 519, 2013, 256, 4373, 2171, 28196, 710, 538, 2490, 519, 5119, 4399, 31182, 346, 311, 4151, 607, 692, 16465, 315, 31182, 346, 311, 13157, 454, 17961, 21421, 348, 3097, 343, 3709, 876, 31905, 1535, 3709, 4905, 348, 1299, 343, 3709, 6349, 31905, 1422, 25854, 1299, 1422, 25854, 1299, 343, 3709, 271, 19885, 268, 272, 27874, 454, 343, 3709, 1015, 31905, 1535, 3709, 1556, 348, 1299, 343, 3709, 1321, 31905, 1422, 25854, 1299, 1422, 25854, 1299, 343, 3709, 272, 19885, 268, 272, 27874, 454, 343, 3709, 736, 31905, 1535, 3709, 2641, 348, 1299, 343, 3709, 2420, 31905, 1422, 25854, 1299, 1422, 25854, 1299, 343, 3709, 273, 19885, 268, 272, 27874, 4449, 11434, 454, 315, 25854, 261, 1422, 25854, 1299, 315, 25854, 261, 1422, 25854, 1299, 1422, 25854, 1299, 315, 25854, 11138, 454, 343, 3709, 333, 268, 272, 267, 271, 31905, 1535, 3709, 333, 268, 272, 267, 272, 348, 1299, 343, 3709, 333, 268, 272, 267, 273, 31905, 1422, 25854, 1299, 1422, 25854, 1299, 343, 3709, 333, 268, 272, 19885, 268, 272, 27874, 454, 17910, 21421, 8679, 9681, 663, 1510, 2530, 540, 1252, 1275, 649, 27682, 1586, 476, 938, 4834, 607, 692, 16465, 315, 31182, 26635, 348, 815, 1422, 31182, 346, 311, 4153, 31182, 3189, 15883, 23180, 31182, 3189, 22668, 348, 563, 9681, 763, 2451, 11804, 2427, 540, 713, 3830, 568, 737, 342, 1144, 269, 3776, 5470, 6152, 4399, 31182, 3189, 22668, 4151, 543, 519, 9936, 6152, 4399, 31182, 3189, 15883, 4151, 616, 938, 26968, 9424, 269, 1215, 666, 649, 3489, 519, 6099, 1305, 540, 4399, 15883, 10983, 259, 2418, 286, 8528, 2171, 723, 3989, 519, 5119, 4399, 31182, 346, 311, 4151, 3842, 519, 4834, 692, 16465, 17961, 9387, 265, 8679, 344, 318, 271, 261, 7807, 15883, 318, 271, 343, 3709, 876, 23180, 15883, 318, 272, 343, 3709, 4905, 23180, 15883, 318, 273, 343, 3709, 6349, 23180, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 3709, 271, 333, 268, 272, 23180, 22668, 318, 271, 11138, 454, 344, 318, 272, 261, 7807, 15883, 318, 271, 343, 3709, 1015, 23180, 15883, 318, 272, 343, 3709, 1556, 23180, 15883, 318, 273, 343, 3709, 1321, 23180, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 3709, 272, 333, 268, 272, 23180, 22668, 318, 272, 11138, 454, 344, 318, 273, 261, 7807, 15883, 318, 271, 343, 3709, 736, 23180, 15883, 318, 272, 343, 3709, 2641, 23180, 15883, 318, 273, 343, 3709, 2420, 23180, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 3709, 273, 333, 268, 272, 23180, 22668, 318, 272, 11138, 454, 315, 25854, 1299, 1422, 25854, 8607, 454, 344, 3709, 328, 31905, 7807, 15883, 318, 271, 343, 3709, 328, 271, 23180, 15883, 318, 272, 343, 3709, 328, 272, 23180, 15883, 318, 273, 343, 3709, 328, 273, 23180, 25854, 10954, 15883, 3709, 333, 268, 272, 26507, 3709, 514, 268, 272, 23180, 22668, 318, 272, 11138, 454, 315, 25854, 1299, 1422, 25854, 8607, 454, 344, 3709, 333, 268, 272, 31905, 7807, 15883, 318, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3515, 267, 855, 519, 5650, 585, 3257, 865, 568, 3564, 519, 9165, 540, 713, 3184, 780, 2162, 31472, 26162, 538, 5811, 281, 4530, 22367, 1186, 585, 7984, 1400, 1736, 692, 24357, 5974, 1419, 946, 25551, 1449, 17446, 547, 2268, 519, 5666, 540, 1585, 6878, 538, 513, 3461, 779, 10729, 630, 8201, 476, 274, 1040, 1452, 1449, 17446, 2270, 1585, 3114, 556, 698, 757, 267, 11251, 538, 1507, 21181, 693, 1585, 6753, 2059, 519, 14816, 267, 799, 10929, 2242, 538, 2681, 2390, 4598, 547, 6190, 9830, 540, 1808, 6878, 269, 634, 6165, 5528, 585, 1449, 17446, 1419, 2566, 602, 1697, 1224, 942, 568, 2565, 585, 6099, 2164, 269, 901, 8561, 593, 1224, 942, 5267, 602, 15452, 3344, 540, 519, 3114, 6547, 9648, 593, 519, 1449, 14816, 616, 1271, 9270, 780, 763, 1449, 585, 17256, 7280, 12346, 593, 513, 1079, 9912, 1184, 6719, 676, 519, 3114, 4834, 3254, 1934, 1384, 7445, 3667, 346, 290, 20731, 277, 20728, 346, 295, 13925, 1321, 4153, 3667, 346, 302, 20731, 277, 20939, 10954, 282, 315, 3667, 346, 302, 20731, 273, 20939, 3189, 343, 21375, 24560, 3667, 346, 13906, 3315, 560, 348, 31765, 14990, 282, 315, 3667, 346, 290, 20731, 277, 20728, 346, 295, 13925, 1015, 4153, 3667, 346, 302, 20731, 277, 20939, 10954, 282, 315, 3667, 346, 295, 20731, 273, 20728, 346, 302, 20731, 273, 14204, 259, 273, 20728, 346, 295, 20731, 273, 20728, 346, 302, 20731, 273, 20939, 10954, 282, 273, 20728, 346, 296, 8703, 268, 4153, 282, 3189, 343, 21375, 24560, 3667, 346, 13906, 3315, 560, 348, 31765, 14990, 282, 315, 3667, 346, 296, 20731, 273, 20939, 10954, 282, 273, 20728, 346, 295, 20731, 273, 20728, 346, 302, 4153, 282, 10954, 282, 315, 3667, 346, 302, 20731, 273, 6911, 763, 1101, 3830, 20186, 519, 16617, 540, 7280, 538, 519, 10729, 547, 6556, 6722, 565, 716, 821, 543, 7250, 25681, 269, 634, 7250, 25681, 3812, 13604, 12444, 3278, 2681, 1652, 19381, 728, 9357, 547, 6556, 6960, 22752, 267, 799, 949, 581, 11617, 9571, 269, 2368, 17446, 1331, 606, 3606, 6219, 602, 23465, 609, 22752, 547, 3132, 513, 811, 3982, 2681, 1689, 780, 763, 1079, 1449, 6547, 3254, 1657, 616, 20244, 1360, 3500, 267, 855, 741, 3928, 616, 2799, 676, 2027, 11476, 11251, 538, 519, 1449, 14816, 14950, 269, 901, 568, 606, 1383, 540, 3032, 4519, 267, 513, 1888, 5941, 2663, 538, 713, 3184, 269, 589, 6093, 7280, 1449, 14816, 585, 946, 609, 10729, 3340, 5111, 476, 1789, 7643, 585, 12032, 540, 519, 2681, 268, 14127, 6547, 269, 7335, 519, 1267, 1932, 4166, 1522, 1291, 835, 547, 9959, 602, 519, 7280, 5834, 540, 519, 10729, 3732, 568, 2539, 982, 621, 2965, 568, 630, 320, 7301, 24308, 1267, 1040, 20613, 1746, 1932, 1279, 547, 2708, 519, 2681, 1689, 666, 1291, 547, 513, 7301, 2318, 1813, 547, 519, 14887, 630, 2254, 10776, 7458, 264, 16617, 540, 19381, 728, 9357, 676, 824, 6878, 1336, 538, 10729, 780, 258, 28731, 26162, 540, 31472, 692, 763, 2557, 540, 513, 5114, 949, 581, 6829, 538, 2474, 540, 519, 1689, 538, 519, 2179, 540, 1022, 2746, 656, 610, 1587, 267, 543, 949, 581, 3274, 6508, 689, 519, 588, 334, 24734, 5852, 540, 519, 5114, 269, 6333, 519, 5114, 6719, 676, 519, 1739, 3830, 1384, 259, 273, 20728, 346, 26822, 20731, 274, 14116, 9385, 282, 3189, 14075, 21375, 4153, 282, 315, 3667, 346, 301, 20731, 273, 14116, 9385, 282, 10954, 282, 274, 20728, 346, 295, 20731, 273, 14116, 22491, 763, 588, 334, 24734, 6248, 2188, 6508, 689, 713, 3830, 949, 581, 1031, 547, 9305, 5114, 3928, 538, 519, 1482, 6073, 602, 789, 616, 1031, 547, 1644, 2746, 656, 543, 1587, 5666, 269, 634, 6935, 1063, 519, 5114, 3928, 6829, 538, 2474, 540, 9436, 2504, 543, 20342, 4616, 267, 585, 1383, 267, 568, 1384, 259, 10559, 282, 315, 2765, 346, 3189, 18773, 4153, 3667, 346, 28485, 20939, 26822, 20731, 274, 2410, 3189, 18773, 348, 339, 4153, 282, 315, 9392, 20939, 315, 2765, 346, 272, 20939, 315, 3667, 346, 28485, 20939, 301, 20731, 273, 2410, 273, 20939, 315, 3667, 346, 28485, 20939, 26822, 20731, 274, 348, 815, 1422, 2765, 346, 3189, 18773, 4153, 3667, 346, 28485, 20939, 301, 20731, 273, 2410, 3189, 18773, 348, 339, 10592, 2171, 666, 2769, 713, 811, 3274, 1510, 6029, 519, 588, 334, 24734, 6248, 3815, 779, 4559, 1384, 259, 10559, 282, 315, 2765, 346, 272, 2410, 273, 4153, 282, 315, 2765, 346, 3189, 18773, 4153, 3667, 346, 28485, 20939, 26822, 20731, 274, 2410, 3189, 18773, 348, 339, 348, 815, 1422, 2765, 346, 3189, 18773, 4153, 3667, 346, 28485, 20939, 301, 20731, 273, 2410, 3189, 18773, 348, 339, 10592, 9616, 602, 513, 2942, 1129, 814, 1044, 3773, 547, 2272, 585, 519, 6587, 4191, 540, 519, 1079, 2179, 2242, 630, 1492, 2746, 656, 2179, 568, 13302, 1247, 519, 1587, 2179, 568, 2810, 1040, 1403, 519, 2746, 1218, 543, 2472, 616, 1459, 538, 519, 1482, 3070, 267, 519, 24855, 5666, 949, 581, 8719, 676, 9830, 1384, 259, 10559, 282, 315, 2765, 346, 272, 2410, 273, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 26822, 20731, 274, 316, 2410, 3189, 18773, 348, 339, 348, 815, 1422, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 301, 20731, 273, 316, 2410, 3189, 18773, 348, 339, 10592, 20118, 267, 519, 2557, 540, 5250, 540, 670, 273, 568, 1614, 2053, 519, 2557, 540, 5250, 540, 715, 273, 1317, 1614, 18253, 540, 670, 273, 1106, 1282, 519, 942, 2838, 585, 519, 5250, 540, 835, 3727, 540, 715, 273, 1384, 7445, 2765, 346, 272, 2410, 274, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 295, 20731, 273, 316, 2410, 3189, 18773, 348, 339, 348, 815, 1422, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 301, 20731, 273, 316, 2410, 3189, 18773, 348, 339, 10592, 8201, 476, 275, 14550, 519, 1689, 538, 9830, 936, 942, 585, 519, 17883, 540, 20342, 883, 9436, 543, 7250, 693, 476, 8099, 271, 11019, 290, 269, 1284, 666, 1294, 689, 519, 19527, 540, 519, 8126, 757, 6537, 693, 512, 815, 476, 4335, 7643, 602, 519, 31302, 3928, 540, 1689, 538, 519, 9830, 540, 519, 2746, 1218, 543, 2472, 616, 1644, 676, 741, 588, 334, 24734, 6248, 2188, 269, 634, 2557, 540, 7250, 2504, 267, 585, 1383, 267, 568, 4767, 547, 581, 1614, 2053, 3152, 982, 602, 585, 9436, 2504, 1384, 7445, 2765, 346, 273, 269, 11011, 20939, 315, 9392, 20939, 1015, 13064, 277, 4153, 282, 300, 270, 315, 3667, 346, 338, 12453, 280, 269, 10170, 20939, 315, 9392, 20939, 1015, 13064, 277, 4153, 282, 300, 270, 315, 3667, 346, 338, 14990, 282, 3189, 13627, 4153, 282, 274, 6911, 1103, 5758, 267, 585, 513, 3114, 5114, 1384, 320, 288, 1341, 536, 289, 9890, 524, 290, 1341, 546, 291, 692, 1492, 2557, 540, 5114, 666, 581, 20475, 607, 1384, 7445, 3667, 346, 3433, 540, 5114, 348, 815, 28363, 2765, 346, 272, 2410, 320, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 288, 316, 2410, 3189, 18773, 348, 339, 348, 815, 28363, 2765, 346, 272, 2410, 321, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 289, 316, 2410, 3189, 18773, 348, 339, 348, 815, 1422, 2765, 346, 272, 2410, 322, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 290, 316, 2410, 3189, 18773, 348, 339, 348, 815, 1422, 2765, 346, 272, 2410, 323, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 291, 316, 2410, 3189, 18773, 348, 339, 10592, 2162, 7151, 476, 272, 692, 22091, 11306, 585, 28731, 31472, 26162, 454, 763, 1101, 1900, 538, 519, 2504, 540, 6491, 878, 3679, 568, 519, 13674, 540, 20342, 1384, 259, 275, 20728, 346, 26822, 20731, 274, 14116, 9385, 282, 10954, 282, 276, 20728, 346, 302, 20731, 273, 14116, 9385, 282, 3189, 14075, 21375, 4153, 282, 275, 20728, 346, 17472, 12917, 326, 9385, 282, 10954, 282, 277, 20728, 346, 295, 20731, 273, 20728, 346, 302, 12917, 326, 22491, 2237, 519, 4834, 602, 9305, 519, 3928, 540, 4616, 540, 519, 2746, 1218, 543, 519, 3928, 540, 5250, 540, 519, 2472, 780, 11405, 454, 8256, 18790, 519, 588, 334, 24734, 5852, 540, 713, 24267, 5114, 267, 519, 3928, 585, 519, 4616, 540, 2746, 1218, 543, 5250, 540, 2472, 616, 1384, 259, 10559, 2765, 346, 272, 2410, 275, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 26822, 20731, 274, 316, 2410, 3189, 18773, 348, 339, 348, 815, 28363, 2765, 346, 272, 2410, 276, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 302, 20731, 273, 316, 2410, 3189, 18773, 348, 339, 348, 815, 1422, 2765, 346, 272, 2410, 275, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 17472, 348, 316, 2410, 3189, 18773, 348, 339, 348, 815, 1422, 2765, 346, 272, 2410, 277, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 295, 20731, 273, 20728, 346, 302, 348, 316, 2410, 3189, 18773, 348, 339, 10592, 2162, 7151, 476, 273, 692, 3725, 9146, 15580, 25285, 585, 1546, 1260, 6570, 540, 670, 273, 302, 273, 454, 763, 3113, 538, 7612, 476, 273, 2982, 519, 2557, 540, 519, 17883, 540, 670, 273, 302, 273, 936, 942, 1384, 259, 273, 20728, 346, 295, 20731, 273, 20728, 346, 302, 20731, 273, 20939, 3189, 14075, 21375, 4153, 282, 273, 20728, 346, 295, 20731, 273, 20728, 346, 302, 4153, 282, 10954, 282, 315, 3667, 346, 302, 20731, 273, 6911, 17780, 593, 891, 1239, 267, 519, 31302, 2557, 540, 17883, 540, 670, 273, 302, 273, 693, 512, 815, 476, 1556, 269, 272, 554, 568, 5462, 547, 581, 692, 274, 269, 736, 6398, 476, 1015, 6629, 273, 12387, 13624, 10774, 267, 602, 568, 1384, 259, 10559, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 295, 20731, 273, 20728, 346, 302, 20731, 273, 316, 2410, 3189, 18773, 348, 339, 348, 815, 476, 274, 269, 736, 20939, 315, 9392, 20939, 1015, 13064, 273, 4153, 282, 315, 3667, 346, 28485, 20939, 299, 8703, 268, 272, 4153, 3667, 346, 327, 8703, 268, 272, 10592, 1432, 568, 519, 31302, 2557, 540, 2504, 540, 670, 273, 302, 543, 744, 273, 2496, 11405, 454, 8794, 519, 588, 334, 24734, 5852, 540, 519, 5114, 267, 649, 949, 3313, 602, 1384, 259, 10559, 2765, 346, 272, 2410, 273, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 295, 20731, 273, 20728, 346, 302, 20731, 273, 316, 2410, 3189, 18773, 348, 339, 348, 815, 1422, 2765, 346, 272, 2410, 273, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 295, 20731, 273, 20728, 346, 302, 348, 316, 2410, 3189, 18773, 348, 339, 348, 815, 1422, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 302, 20731, 273, 316, 2410, 3189, 18773, 348, 339, 10592, 11997, 1384, 7445, 2765, 346, 272, 2410, 273, 4153, 282, 315, 9392, 20939, 274, 269, 736, 20939, 315, 9392, 20939, 1015, 13064, 273, 4153, 282, 315, 3667, 346, 28485, 20939, 299, 8703, 268, 272, 4153, 3667, 346, 327, 8703, 268, 272, 348, 815, 1422, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 302, 20731, 273, 316, 2410, 3189, 18773, 348, 339, 10592, 663, 692, 7445, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 302, 20731, 273, 316, 2410, 3189, 18773, 348, 339, 348, 815, 476, 272, 269, 2568, 20939, 315, 9392, 20939, 1015, 13064, 273, 4153, 282, 315, 3667, 346, 28485, 20939, 299, 8703, 268, 272, 4153, 3667, 346, 327, 8703, 268, 272, 10592, 258, 1323, 2254, 566, 585, 8382, 476, 272, 26361, 692, 1607, 1797, 952, 649, 917, 519, 2557, 540, 1689, 585, 835, 3114, 630, 32355, 2746, 656, 610, 1587, 264, 538, 513, 5114, 267, 649, 786, 581, 2111, 547, 5173, 519, 3928, 540, 1689, 585, 782, 824, 6464, 780, 258, 6206, 16610, 543, 12834, 692, 763, 2557, 540, 513, 5114, 666, 581, 6829, 2901, 538, 2474, 540, 519, 6175, 538, 519, 2179, 540, 513, 2746, 656, 610, 519, 2333, 538, 519, 2179, 540, 513, 1587, 829, 1770, 942, 269, 9534, 1063, 1114, 2557, 7215, 585, 513, 2016, 5114, 616, 6508, 2047, 689, 519, 588, 334, 24734, 6248, 14170, 540, 519, 3830, 8204, 519, 5114, 780, 258, 6206, 12307, 692, 1892, 3448, 5114, 3928, 585, 1269, 320, 20728, 31505, 4153, 282, 3189, 14075, 21375, 4153, 282, 321, 20728, 346, 289, 348, 815, 28363, 2765, 346, 272, 2410, 320, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 315, 3667, 31505, 348, 316, 2410, 3189, 18773, 348, 339, 348, 815, 1422, 2765, 346, 272, 2410, 321, 4153, 282, 315, 2765, 346, 3189, 18773, 22042, 315, 3667, 346, 289, 348 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5649, 519, 1739, 8574, 543, 2626, 519, 2055, 602, 1246, 563, 763, 5899, 1052, 8865, 540, 3220, 269, 808, 2131, 22690, 543, 6004, 269, 5754, 1372, 454, 2421, 7917, 8402, 21862, 21672, 454, 272, 269, 6004, 269, 7780, 1562, 517, 519, 15818, 729, 513, 812, 540, 513, 27726, 1293, 28312, 267, 602, 729, 2760, 1769, 539, 676, 513, 12837, 282, 4411, 267, 1085, 656, 344, 543, 19849, 21724, 538, 11407, 282, 18807, 538, 18941, 282, 10709, 267, 1279, 267, 7452, 344, 267, 26927, 776, 267, 543, 2943, 11214, 561, 990, 762, 269, 2311, 7874, 11401, 267, 543, 950, 519, 9174, 729, 547, 1010, 6492, 267, 1945, 900, 514, 1836, 1480, 581, 13154, 539, 689, 1010, 3750, 282, 1945, 8197, 799, 2760, 1336, 922, 1259, 883, 1010, 2911, 267, 855, 799, 12038, 711, 1152, 538, 891, 14980, 6698, 540, 519, 1310, 1673, 27903, 3068, 267, 855, 811, 1419, 543, 10978, 569, 538, 519, 6411, 540, 1010, 1272, 269, 1261, 729, 28191, 699, 609, 5128, 282, 1743, 1678, 575, 514, 950, 646, 729, 4805, 267, 547, 6180, 1518, 513, 6492, 585, 642, 842, 1137, 282, 543, 1498, 646, 10150, 519, 16222, 267, 1185, 711, 18084, 519, 9885, 540, 835, 585, 8938, 1296, 269, 1809, 646, 1185, 606, 9516, 10892, 585, 1866, 282, 3006, 11842, 267, 3592, 609, 679, 11803, 267, 693, 519, 1164, 2604, 540, 14326, 3238, 538, 741, 3765, 1372, 2644, 282, 543, 538, 1022, 17119, 640, 20916, 547, 948, 2864, 982, 547, 1065, 17311, 563, 273, 269, 834, 296, 13141, 710, 547, 267, 595, 664, 781, 646, 637, 344, 265, 2437, 646, 1031, 547, 2161, 269, 834, 296, 1577, 1250, 7015, 979, 547, 519, 26881, 538, 1010, 844, 5593, 569, 1412, 1144, 1259, 9538, 257, 769, 713, 1915, 267, 621, 729, 4749, 1010, 19539, 547, 581, 519, 2063, 18019, 29872, 766, 543, 519, 2063, 1434, 3310, 538, 519, 2729, 540, 1524, 268, 4707, 2367, 269, 1656, 547, 971, 607, 891, 267, 865, 1279, 607, 789, 3357, 827, 1010, 20830, 267, 646, 2760, 6825, 513, 12094, 540, 1689, 538, 1010, 1629, 6756, 712, 563, 274, 269, 3143, 8969, 519, 9028, 729, 2653, 547, 6004, 269, 7780, 1562, 517, 282, 585, 646, 729, 3768, 655, 2970, 894, 693, 519, 1655, 267, 543, 1256, 1010, 11505, 8604, 547, 581, 8547, 538, 513, 2147, 18216, 4301, 640, 540, 1434, 5991, 1155, 269, 898, 568, 519, 1665, 540, 513, 16434, 812, 547, 3398, 1010, 7874, 5858, 4712, 13402, 689, 519, 3946, 540, 4316, 282, 543, 602, 729, 519, 15818, 781, 1259, 269, 3571, 2828, 941, 1346, 540, 1010, 1378, 1973, 610, 1346, 7247, 646, 1185, 1634, 519, 13074, 282, 1010, 1860, 687, 267, 899, 17488, 344, 267, 941, 519, 2208, 540, 942, 267, 789, 22466, 1100, 19038, 1145, 538, 519, 1843, 269, 9747, 267, 1100, 8969, 267, 519, 6125, 602, 8087, 1864, 547, 6004, 269, 9400, 2037, 7615, 267, 1010, 11397, 737, 1231, 2006, 267, 519, 1134, 8153, 812, 827, 4884, 269, 898, 729, 513, 2428, 547, 11523, 585, 1082, 267, 1018, 891, 1079, 1223, 1294, 538, 1142, 824, 267, 610, 1018, 1641, 789, 1223, 1265, 538, 1455, 269, 898, 729, 4080, 676, 1346, 945, 11402, 873, 538, 741, 10732, 15211, 267, 602, 789, 1767, 4986, 267, 6743, 13737, 569, 20585, 267, 543, 1131, 30339, 609, 6654, 8323, 519, 5920, 540, 513, 3659, 269, 1280, 782, 602, 267, 519, 1079, 2367, 2322, 519, 6574, 4558, 676, 891, 32751, 687, 267, 18886, 873, 519, 8783, 13049, 540, 1142, 3018, 267, 543, 711, 1152, 1305, 11735, 14026, 540, 12257, 267, 855, 1256, 5706, 539, 519, 7125, 540, 1870, 267, 602, 789, 1522, 2972, 873, 796, 5793, 32152, 563, 265, 763, 13400, 1650, 540, 595, 664, 543, 2806, 601, 568, 513, 1650, 827, 1079, 14552, 945, 5795, 17008, 547, 2696, 269, 2806, 601, 781, 5356, 729, 7608, 676, 2696, 267, 855, 595, 664, 781, 729, 711, 269, 808, 20454, 267, 595, 664, 7166, 1010, 7015, 269, 1879, 2696, 4280, 595, 664, 1141, 2806, 601, 729, 267, 595, 664, 1767, 267, 834, 8649, 594, 1250, 7015, 781, 1183, 4177, 8119, 1635, 6031, 713, 267, 595, 664, 22466, 602, 1018, 1010, 7015, 1705, 729, 1010, 1378, 1870, 269, 630, 7049, 8412, 476, 275, 281, 272, 268, 1626, 994, 7617, 1899, 689, 519, 1257, 5267, 602, 6004, 269, 7780, 1562, 517, 5116, 6574, 3972, 538, 519, 1004, 646, 1185, 1634, 585, 1082, 1296, 286, 630, 276, 2798, 994, 288, 269, 834, 5591, 8969, 519, 9028, 729, 2653, 547, 6004, 269, 7780, 1562, 517, 282, 585, 646, 729, 3768, 655, 2970, 894, 693, 519, 1655, 2437, 454, 289, 269, 834, 2690, 782, 602, 267, 519, 1079, 2367, 2322, 519, 6574, 4558, 676, 891, 32751, 687, 267, 18886, 873, 519, 8783, 13049, 540, 1142, 3018, 2437, 454, 290, 269, 834, 14367, 2828, 941, 1346, 540, 1010, 1378, 1973, 610, 1346, 7247, 646, 1185, 1634, 519, 13074, 282, 4840, 291, 269, 834, 4517, 547, 971, 607, 891, 267, 865, 1279, 607, 789, 3357, 827, 1010, 20830, 267, 646, 2760, 6825, 513, 12094, 540, 1689, 538, 1010, 1629, 6756, 712, 2668, 0, 1432, 1772, 513, 5590, 888, 876, 281, 876, 1924, 267, 1018, 568, 513, 1305, 286, 4270, 267, 538, 6128, 267, 513, 1305, 568, 513, 1134, 20452, 4015, 540, 3982, 3615, 269, 8074, 519, 3982, 269, 30498, 3112, 2270, 5918, 27289, 563, 876, 281, 1015, 634, 1305, 540, 1256, 2318, 2338, 1447, 982, 476, 1015, 1131, 581, 476, 273, 267, 476, 275, 267, 476, 277, 267, 543, 476, 279, 269, 634, 1305, 540, 3501, 10945, 1447, 982, 476, 1015, 1131, 581, 476, 272, 267, 476, 275, 267, 476, 280, 269, 634, 10167, 540, 891, 1079, 5036, 1131, 581, 519, 1297, 476, 275, 563, 876, 281, 2190, 1284, 666, 2099, 713, 10167, 1210, 513, 966, 3317, 6516, 269, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 279, 282, 476, 272, 267, 476, 275, 267, 476, 280, 282, 543, 519, 10167, 568, 476, 275, 563, 1432, 568, 513, 1305, 538, 5124, 286, 4270, 267, 5124, 779, 3710, 2987, 454, 3553, 1826, 814, 519, 1739, 4162, 281, 1358, 2461, 796, 23912, 269, 634, 2609, 616, 2189, 267, 543, 26134, 2609, 616, 711, 4847, 563, 876, 281, 5325, 1656, 513, 1305, 3294, 949, 581, 9168, 267, 855, 519, 2609, 3330, 519, 1305, 1590, 581, 19474, 762, 269, 1411, 3580, 1451, 827, 1018, 19474, 762, 1797, 538, 519, 1985, 3381, 563, 289, 22877, 513, 16588, 547, 6443, 519, 6643, 269, 0, 30262, 1168, 762, 1379, 12681, 3292, 723, 1044, 8045, 538, 1082, 2199, 2950, 607, 513, 1259, 547, 2569, 16126, 593, 2757, 8093, 10173, 543, 3895, 513, 811, 4264, 2104, 269, 1452, 3292, 723, 711, 1152, 1185, 513, 2318, 1764, 593, 519, 1604, 267, 855, 849, 593, 2199, 11615, 543, 2950, 563, 1103, 713, 2376, 267, 649, 786, 2263, 519, 1764, 540, 7791, 1379, 12681, 3292, 593, 2199, 2950, 543, 11615, 269, 1284, 786, 1865, 519, 2640, 540, 7791, 1648, 267, 519, 1909, 540, 12681, 3292, 267, 543, 519, 2081, 538, 799, 789, 666, 948, 547, 1711, 6009, 267, 2569, 1648, 3790, 267, 543, 3895, 2804, 2208, 269, 6052, 16890, 4676, 3419, 3130, 267, 4092, 693, 5149, 476, 273, 6519, 18718, 6833, 571, 806, 267, 6196, 18718, 8433, 5244, 267, 476, 273, 3798, 3405, 853, 267, 13852, 6807, 267, 476, 4037, 274, 271, 267, 3091, 1585, 7791, 1379, 12681, 3292, 269, 1403, 596, 2461, 5461, 538, 1565, 811, 267, 596, 666, 3346, 873, 693, 476, 25546, 25870, 9610, 563, 763, 11588, 540, 24997, 6052, 454, 30262, 1168, 762, 1648, 2959, 267, 971, 607, 3859, 267, 2842, 267, 543, 24232, 1379, 267, 723, 1082, 2640, 936, 2757, 8093, 10173, 269, 1452, 2959, 540, 1648, 616, 2973, 267, 7791, 267, 543, 12520, 7864, 8511, 9362, 269, 901, 1797, 602, 789, 723, 513, 1454, 4130, 2825, 1764, 982, 2757, 8093, 10173, 563, 12234, 267, 7791, 1648, 568, 4742, 811, 10097, 543, 3015, 269, 1306, 2029, 8441, 267, 519, 1942, 540, 7791, 1648, 2504, 814, 8519, 267, 1818, 621, 811, 1942, 15807, 585, 6800, 269, 901, 814, 5280, 547, 1118, 7791, 1648, 811, 3015, 585, 3025, 267, 1519, 2199, 2950, 543, 1507, 4213, 563, 763, 10020, 540, 15815, 582, 15789, 454, 303, 559, 582, 3292, 1404, 606, 1271, 1909, 538, 519, 6388, 540, 7791, 1379, 3785, 269, 1452, 3292, 616, 2966, 547, 1449, 519, 23812, 543, 23250, 540, 1007, 7791, 1648, 4066, 543, 1683, 3407, 1344, 585, 3677, 8397, 6388, 563, 303, 559, 582, 3292, 1683, 513, 1259, 585, 2199, 2950, 547, 2263, 519, 2640, 540, 7791, 1648, 543, 547, 3313, 952, 621, 568, 513, 14323, 4781, 585, 741, 2115, 269, 1358, 849, 948, 547, 2697, 1022, 1761, 9465, 610, 2591, 602, 949, 8451, 1282, 6388, 543, 1683, 3435, 547, 7753, 891, 2591, 563, 763, 8177, 593, 10871, 18877, 454, 30262, 1168, 762, 1379, 12681, 3292, 723, 1185, 513, 1713, 1764, 593, 2199, 2950, 269, 1452, 3292, 723, 5280, 547, 1711, 6009, 267, 2569, 1648, 3790, 267, 543, 3895, 2804, 2208, 563, 3080, 540, 519, 3119, 2640, 540, 7791, 1379, 3292, 568, 519, 5137, 540, 6009, 269, 1452, 3292, 2154, 513, 9952, 13781, 547, 3888, 267, 7500, 267, 543, 2226, 7791, 1648, 1949, 269, 1306, 513, 1267, 267, 789, 1683, 513, 1713, 5818, 547, 2199, 11615, 676, 2870, 1007, 6009, 543, 3255, 585, 2199, 4600, 563, 1103, 1840, 547, 2816, 5137, 267, 7791, 1379, 3292, 849, 948, 547, 2569, 1648, 3790, 269, 24997, 1648, 2959, 723, 2539, 5665, 3790, 982, 2757, 8093, 10173, 267, 799, 666, 1267, 538, 2539, 1648, 12014, 585, 6800, 269, 901, 666, 948, 547, 2569, 519, 2883, 11411, 593, 2199, 10820, 543, 4213, 267, 3246, 873, 609, 811, 25551, 4747, 547, 6108, 593, 824, 1919, 563, 7661, 267, 7791, 1379, 3292, 666, 849, 3895, 2804, 2208, 269, 1306, 2199, 2950, 5912, 547, 7791, 1648, 2959, 267, 789, 1831, 1447, 882, 5050, 593, 16865, 8093, 10173, 267, 799, 2337, 547, 1832, 2724, 1369, 519, 2199, 4346, 269, 901, 666, 948, 547, 12954, 2804, 2208, 543, 1646, 267, 2870, 513, 811, 4264, 543, 25133, 2104, 585, 2199, 2950, 269, 1403, 596, 2461, 3168, 585, 2298, 12104, 3130, 2533, 267, 596, 1058, 2638, 856, 563, 1103, 3932, 267, 7791, 1379, 12681, 3292, 723, 1185, 513, 1713, 1764, 593, 2199, 2950, 543, 11615, 269, 1452, 3292, 1683, 513, 1259, 585, 2950, 547, 2263, 519, 2640, 540, 7791, 1648, 267, 1247, 849, 2870, 6009, 267, 4227, 1648, 3790, 267, 543, 5009, 2804, 2208, 563, 2026, 649, 1847, 2509, 513, 811, 4264, 2104, 267, 621, 568, 1271, 547, 3136, 547, 1902, 538, 7791, 1648, 12681, 3292, 543, 547, 1489, 519, 1646, 540, 1007, 4066, 269, 901, 786, 948, 547, 2327, 602, 2199, 2950, 723, 1569, 547, 2973, 267, 10097, 267, 543, 6325, 2959, 540, 1648, 267, 1247, 849, 2870, 513, 811, 4264, 543, 25133, 2104, 585, 782, 563, 4467, 906, 616, 6806, 269, 0, 1432, 568, 590, 5902, 13281, 286, 18421, 1411, 10261, 547, 5700, 769, 2290, 9255, 454, 306, 5902, 4152, 4061, 3340, 6304, 689, 707, 2930, 2319, 269, 1656, 1141, 589, 20324, 4152, 3096, 590, 5902, 4152, 267, 799, 3340, 2930, 6887, 547, 26544, 267, 3788, 519, 1655, 4152, 3070, 950, 2483, 306, 5902, 13281, 281, 589, 19750, 6651, 18838, 676, 20226, 454, 763, 6364, 286, 590, 5902, 4152, 2488, 17046, 8753, 827, 1808, 2609, 540, 707, 1357, 3958, 267, 8237, 4152, 849, 2337, 4688, 942, 267, 2724, 267, 543, 3646, 543, 3947, 2164, 538, 513, 10156, 2483, 306, 5902, 13281, 281, 18421, 1411, 10261, 547, 5700, 6969, 26121, 590, 5902, 18873, 454, 306, 5902, 4152, 707, 3896, 2636, 596, 547, 9247, 2196, 2789, 589, 20324, 4255, 693, 519, 1482, 942, 269, 5502, 540, 9236, 513, 1852, 1996, 1175, 835, 8390, 267, 596, 1331, 811, 7648, 547, 3432, 909, 519, 1184, 563, 1432, 568, 8237, 4152, 286, 1923, 23489, 3794, 27443, 454, 306, 5902, 4152, 568, 950, 596, 1491, 19670, 6808, 883, 513, 3059, 1995, 267, 899, 513, 3896, 610, 5985, 813, 267, 543, 14477, 3651, 1142, 1268, 883, 513, 1114, 1895, 563, 306, 5902, 4152, 630, 10193, 5219, 547, 607, 589, 20324, 4152, 610, 1617, 21725, 4152, 264, 568, 513, 1505, 540, 10647, 6417, 267, 19747, 6901, 609, 519, 3804, 540, 5355, 513, 3896, 11973, 267, 971, 607, 30390, 267, 1106, 2483, 288, 20324, 4152, 910, 9504, 454, 288, 20324, 4152, 630, 10193, 1634, 607, 19943, 4152, 610, 8237, 24507, 4152, 264, 568, 513, 3593, 1995, 1382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1845, 543, 3694, 338, 563, 305, 582, 776, 4212, 581, 831, 454, 529, 1031, 538, 25588, 5798, 610, 627, 6235, 8645, 563, 320, 1507, 2936, 609, 513, 3376, 267, 6366, 267, 8465, 16405, 1031, 547, 3575, 267, 3262, 543, 12740, 1570, 454, 529, 1031, 547, 538, 12557, 19323, 2472, 267, 519, 8375, 540, 13803, 543, 547, 2638, 519, 1810, 8864, 540, 25394, 563, 529, 1031, 547, 2268, 5820, 538, 1804, 9424, 563, 732, 20583, 5624, 538, 799, 1426, 568, 12699, 267, 2356, 676, 3905, 2011, 563, 2005, 568, 513, 1804, 14089, 883, 799, 3003, 986, 4242, 2407, 540, 6656, 31781, 666, 581, 8868, 539, 585, 11256, 563, 5327, 11220, 609, 811, 11256, 20830, 454, 534, 14089, 602, 3096, 513, 10178, 547, 32694, 3905, 2011, 936, 1426, 269, 898, 814, 513, 10178, 543, 9688, 1062, 602, 513, 2834, 14089, 1281, 711, 563, 3891, 8283, 1494, 609, 9395, 19984, 282, 949, 723, 24646, 693, 519, 5377, 282, 1031, 593, 2039, 610, 538, 14089, 563, 24168, 631, 20846, 9338, 12569, 22244, 17395, 2483, 28830, 910, 2296, 18500, 1635, 10866, 454, 21995, 18181, 10341, 18873, 454, 4504, 549, 269, 547, 11404, 932, 335, 269, 476, 1704, 269, 272, 454, 303, 773, 24728, 514, 13196, 12815, 787, 543, 19130, 902, 454, 30862, 2207, 10323, 4811, 15760, 24199, 595, 3918, 2969, 3036, 454, 290, 4041, 476, 272, 560, 12910, 454, 307, 4041, 630, 274, 6113, 2165, 994, 2894, 21923, 23360, 630, 273, 526, 12910, 994, 290, 4041, 630, 273, 526, 12910, 264, 0, 1692, 1082, 1984, 527, 619, 540, 5135, 616, 2838, 547, 2746, 4625, 609, 476, 11260, 20853, 540, 595, 275, 295, 1015, 952, 519, 12531, 540, 1312, 9362, 616, 6027, 693, 519, 1482, 2837, 543, 2604, 286, 634, 5114, 568, 476, 273, 290, 275, 295, 14116, 264, 1341, 476, 1724, 302, 273, 14116, 264, 25341, 476, 279, 4596, 273, 14116, 264, 1341, 1015, 295, 273, 302, 14116, 994, 2791, 1131, 991, 454, 9359, 609, 519, 7059, 3114, 3830, 585, 519, 13674, 540, 855, 2033, 454, 30860, 602, 596, 723, 513, 454, 2252, 519, 12531, 540, 1312, 9362, 616, 6027, 693, 519, 1482, 2837, 543, 2604, 267, 596, 666, 946, 519, 4998, 3154, 1876, 3830, 547, 2119, 543, 4137, 856, 1018, 4320, 540, 5135, 596, 9364, 991, 547, 2746, 609, 602, 1454, 855, 2033, 563, 3383, 267, 1577, 781, 8263, 2837, 568, 3160, 547, 454, 2080, 568, 1141, 519, 3727, 5223, 602, 6818, 1063, 855, 2033, 543, 5135, 2501, 538, 13561, 282, 596, 917, 602, 267, 7488, 540, 875, 1082, 18253, 540, 855, 2033, 596, 723, 267, 596, 991, 476, 1724, 270, 273, 2053, 811, 18253, 540, 5135, 563, 12385, 3012, 1227, 267, 713, 666, 581, 2854, 607, 454, 303, 29888, 713, 883, 3830, 630, 273, 264, 543, 7941, 3830, 630, 272, 264, 676, 3830, 630, 273, 264, 543, 596, 3513, 1205, 454, 305, 15903, 547, 1614, 521, 580, 4453, 338, 267, 519, 1297, 540, 521, 580, 4453, 338, 2016, 585, 476, 11260, 20853, 267, 519, 2626, 786, 581, 0, 268, 27588, 1857, 5624, 1210, 28149, 6770, 15076, 543, 2199, 2950, 2483, 268, 6167, 26335, 2155, 1080, 547, 20074, 519, 6820, 3281, 716, 593, 24779, 454, 268, 1763, 6342, 267, 17009, 1846, 543, 6167, 6953, 629, 18945, 5234, 6443, 3946, 547, 2973, 909, 715, 23879, 6798, 454, 268, 6167, 6953, 629, 18945, 15445, 10615, 21048, 2812, 15272, 13207, 541, 5025, 794, 693, 519, 12655, 2483, 268, 9791, 4346, 8468, 786, 5818, 1216, 779, 1761, 454, 268, 14956, 7232, 323, 1635, 631, 2727, 684, 1695, 15011, 323, 26588, 604, 593, 12655, 9791, 19004, 10985, 454, 268, 6167, 6953, 629, 18945, 5012, 2455, 885, 8400, 593, 2500, 2199, 2229, 4058, 585, 2483, 268, 4457, 20079, 25947, 538, 6820, 14847, 25163, 454, 268, 22990, 1304, 4872, 267, 513, 2339, 540, 4058, 585, 543, 609, 1453, 454, 268, 6167, 6953, 629, 18945, 15445, 10615, 281, 2622, 20079, 4303, 24606, 454, 7419, 6953, 629, 18945, 13474, 19510, 11657, 476, 1220, 279, 268, 1220, 280, 1107, 21601, 28992, 454, 763, 21601, 28992, 26335, 13474, 19510, 11657, 568, 519, 1267, 540, 513, 10319, 4674, 1063, 1585, 8041, 538, 21601, 28992, 267, 12077, 267, 519, 2136, 8315, 4886, 19510, 543, 6167, 6953, 5723, 3951, 2969, 267, 538, 15360, 543, 538, 5698, 609, 519, 2229, 540, 21601, 28992, 563, 1607, 6167, 6953, 5723, 3951, 2969, 13474, 19510, 11657, 729, 3812, 1310, 513, 3126, 540, 5077, 894, 11401, 941, 4371, 609, 519, 2136, 8315, 4886, 19510, 2197, 5604, 543, 519, 6167, 6953, 5723, 3951, 2969, 10872, 269, 3683, 513, 1079, 4458, 1974, 267, 519, 2197, 10872, 786, 581, 8045, 538, 14966, 609, 519, 2136, 8315, 4886, 26859, 17563, 543, 786, 14626, 728, 609, 519, 19862, 540, 519, 12059, 2817, 4886, 4643, 267, 610, 2817, 4886, 4643, 476, 274, 563, 8138, 2466, 707, 2689, 0, 30875, 3627, 15537, 8055, 630, 9264, 277, 268, 6642, 274, 264, 568, 1631, 19486, 607, 835, 540, 519, 1390, 3703, 22697, 540, 519, 476, 866, 628, 2540, 269, 1717, 267, 1282, 519, 476, 866, 628, 2540, 267, 1010, 2012, 729, 711, 1134, 1634, 543, 646, 729, 711, 3379, 609, 4207, 3703, 6310, 23766, 6723, 853, 10280, 267, 7083, 22398, 9109, 267, 6276, 31506, 1407, 614, 267, 6723, 4425, 1961, 267, 5261, 18007, 534, 16803, 267, 6723, 5682, 267, 610, 14880, 595, 599, 2917, 269, 589, 2067, 2243, 547, 2307, 568, 32465, 25585, 711, 286, 1879, 8055, 781, 6310, 10781, 616, 1631, 23500, 543, 3144, 883, 2272, 267, 621, 568, 9058, 547, 2015, 602, 8055, 729, 267, 607, 10228, 22301, 3223, 603, 30567, 16086, 5063, 13042, 1864, 267, 834, 1492, 22301, 519, 1158, 29709, 8487, 30875, 8055, 729, 4535, 538, 25212, 267, 8581, 593, 5437, 476, 273, 267, 476, 9264, 277, 543, 519, 1920, 4166, 27502, 6410, 547, 4789, 269, 8055, 9411, 10228, 2160, 538, 476, 7277, 275, 1310, 10888, 519, 454, 9008, 14172, 547, 11831, 2723, 5441, 269, 769, 476, 7277, 279, 267, 646, 6591, 1101, 1362, 26549, 538, 1312, 27825, 454, 663, 6128, 693, 10228, 543, 729, 3957, 513, 29533, 543, 1287, 513, 570, 12460, 693, 11831, 2723, 563, 1103, 476, 5908, 271, 267, 8055, 729, 12912, 14205, 27482, 17348, 540, 16387, 693, 10228, 282, 621, 568, 29810, 602, 930, 540, 1010, 22638, 1967, 832, 547, 713, 2990, 941, 717, 269, 670, 269, 10434, 344, 267, 661, 269, 595, 269, 570, 3558, 332, 6702, 543, 11184, 7812, 2311, 12011, 1695, 269, 5047, 267, 11184, 3798, 12107, 16199, 2917, 267, 540, 16199, 2917, 781, 1290, 564, 21239, 267, 729, 513, 31317, 547, 8055, 538, 713, 17348, 269, 769, 476, 5908, 272, 267, 8055, 729, 11221, 607, 513, 29533, 540, 519, 9576, 5980, 540, 5507, 630, 531, 784, 609, 519, 21997, 6276, 1849, 17064, 7665, 6202, 1040, 1261, 849, 6039, 607, 5518, 540, 519, 5507, 19556, 5980, 689, 476, 6942, 275, 268, 6942, 277, 563, 29834, 781, 6310, 960, 729, 3573, 543, 10816, 3022, 1082, 3309, 2127, 540, 6128, 269, 3571, 4505, 960, 267, 538, 1297, 3069, 267, 568, 7415, 543, 2982, 1010, 31858, 25271, 2070, 540, 519, 1641, 282, 538, 1249, 267, 1010, 834, 27751, 593, 519, 7869, 540, 10606, 257, 568, 4330, 607, 519, 1412, 2865, 2347, 543, 17715, 15224, 2479, 25517, 547, 519, 3069, 540, 2338, 9538, 8055, 781, 1378, 960, 538, 1297, 3069, 543, 7223, 729, 3810, 9833, 269, 1280, 1383, 267, 538, 476, 5908, 272, 267, 8055, 9863, 519, 6228, 543, 22464, 540, 1018, 568, 1631, 1572, 519, 8055, 3339, 1106, 540, 513, 5119, 609, 8870, 13366, 269, 8055, 781, 1101, 3498, 540, 713, 1267, 729, 547, 3313, 950, 5276, 4144, 2684, 14932, 4834, 723, 3435, 267, 23928, 513, 32618, 1966, 1101, 6594, 676, 519, 2038, 16380, 563, 1103, 476, 6977, 276, 267, 8055, 3370, 606, 19782, 1190, 1007, 6228, 6169, 540, 24839, 632, 674, 12938, 781, 4583, 1079, 1606, 638, 4100, 1966, 282, 602, 568, 267, 646, 4951, 602, 1022, 6305, 1297, 533, 602, 568, 21412, 547, 476, 272, 1110, 25222, 476, 275, 666, 581, 2854, 607, 519, 2040, 540, 1079, 8870, 10945, 282, 26526, 267, 8055, 5206, 713, 1079, 22240, 1957, 538, 5824, 607, 606, 4630, 720, 547, 1010, 6310, 5869, 267, 14161, 26179, 12821, 1380, 269, 898, 1058, 581, 7074, 602, 519, 1101, 6228, 6169, 540, 713, 1267, 729, 2016, 676, 519, 1390, 18230, 22301, 15182, 14551, 25586, 630, 15367, 6170, 5722, 1296, 2324, 593, 519, 1966, 264, 538, 476, 14690, 280, 269, 21452, 267, 8055, 781, 6169, 568, 3833, 2653, 547, 1174, 543, 4667, 547, 1201, 1393, 513, 3409, 1500, 676, 10434, 344, 538, 1010, 834, 288, 4223, 11490, 1014, 781, 7442, 1108, 257, 602, 972, 568, 834, 7224, 6169, 1369, 519, 8223, 540, 24455, 855, 513, 9425, 4274, 22301, 4799, 29834, 781, 7418, 547, 6310, 2079, 616, 849, 14222, 1862, 8117, 267, 19599, 267, 711, 5176, 607, 1134, 1634, 269, 8307, 538, 2487, 1296, 814, 8055, 781, 960, 538, 713, 1641, 1831, 811, 4628, 15874, 269, 769, 606, 476, 6942, 276, 1957, 834, 4002, 519, 5610, 540, 19944, 6681, 3252, 2437, 8055, 9247, 21437, 519, 1647, 22188, 22616, 528, 1305, 630, 16341, 5216, 1296, 1354, 22616, 528, 1705, 14386, 2059, 609, 519, 590, 1512, 335, 1231, 7288, 575, 21488, 543, 519, 918, 5255, 6777, 4148, 820, 269, 769, 713, 1957, 267, 8055, 849, 4667, 547, 723, 1044, 519, 1101, 22301, 547, 13498, 519, 4276, 1063, 2268, 543, 7533, 269, 769, 1249, 267, 646, 22621, 513, 12161, 538, 9677, 681, 22044, 2335, 781, 960, 593, 519, 5266, 1007, 630, 520, 519, 942, 264, 3069, 540, 681, 22044, 2335, 5610, 282, 538, 1249, 267, 8055, 4951, 602, 519, 9165, 540, 519, 681, 22044, 2335, 7533, 568, 711, 3833, 607, 3573, 607, 930, 1185, 10645, 269, 898, 729, 25031, 585, 8055, 910, 538, 1249, 585, 782, 540, 6128, 910, 602, 1010, 476, 6942, 276, 1957, 4607, 2484, 1447, 3007, 982, 621, 1318, 2685, 964, 5703, 269, 634, 1977, 6310, 14787, 267, 7338, 8316, 9469, 267, 5063, 6376, 539, 602, 834, 23536, 2406, 519, 1646, 540, 513, 2268, 7308, 648, 6776, 21169, 1369, 5610, 3069, 1131, 723, 1044, 18965, 1185, 519, 9115, 540, 8055, 781, 1957, 1044, 1634, 547, 22697, 2807, 1701, 563, 30875, 8055, 5747, 593, 5988, 476, 280, 267, 476, 6642, 274, 269, 3571, 24133, 1184, 542, 538, 10228, 729, 513, 10116, 540, 513, 13304, 1279, 269, 901, 4159, 540, 3803, 2463, 729, 1813, 6140, 547, 8055, 781, 10373, 2123, 19259, 543, 8560, 609, 1010, 29629, 2456, 269, 4634, 8055, 781, 14191, 2828, 1705, 711, 917, 540, 1010, 6310, 10781, 693, 519, 942, 540, 1010, 2669, 269, 11569, 267, 621, 1631, 4667, 602, 513, 4999, 540, 1010, 19385, 766, 547, 1582, 3895, 1927, 609, 513, 3978, 3765, 20412, 566, 676, 22697, 540, 1010, 5736, 3366, 547, 1010, 26687, 640, 269, 18641, 267, 22697, 2221, 616, 811, 3222, 540, 1010, 32032, 7418, 547, 6128, 256, 0, 14503, 1662, 11568, 538, 645, 273, 269, 273, 269, 273, 910, 19449, 1529, 2218, 3590, 1546, 1188, 630, 2537, 2187, 1432, 568, 707, 30057, 1062, 1500, 909, 540, 888, 7312, 2295, 543, 1973, 8043, 454, 1432, 568, 621, 1634, 607, 952, 1973, 3788, 609, 519, 2295, 543, 1973, 8043, 888, 763, 6806, 1062, 454, 1432, 568, 1973, 1434, 585, 888, 9558, 1636, 532, 6878, 1472, 707, 1560, 602, 991, 873, 454, 10111, 11538, 2476, 3653, 2472, 454, 24876, 606, 1383, 540, 513, 1434, 6219, 1973, 11438, 1472, 454, 24876, 606, 1383, 540, 513, 3653, 1587, 1973, 4991, 7759, 540, 563, 1692, 1082, 2053, 1281, 1973, 2095, 998, 519, 2295, 1282, 1142, 5547, 540, 519, 1560, 888, 3963, 568, 621, 1572, 519, 5595, 30057, 1062, 888, 763, 1973, 8928, 998, 519, 2295, 7466, 1169, 5547, 454, 1432, 7990, 1131, 596, 2721, 5135, 730, 1973, 888, 1432, 7990, 1131, 596, 2721, 632, 2135, 4723, 730, 1973, 888, 23737, 519, 1184, 540, 519, 30057, 1062, 563, 7312, 2295, 15450, 1413, 856, 547, 707, 8219, 543, 8031, 269, 634, 5135, 543, 7280, 538, 519, 1973, 886, 4926, 883, 873, 267, 607, 519, 3327, 8166, 886, 4926, 856, 269, 634, 1973, 12599, 1394, 547, 519, 2295, 267, 799, 15450, 621, 547, 519, 9641, 269, 769, 519, 9641, 519, 3327, 8166, 27556, 856, 540, 519, 1560, 1247, 1007, 5135, 886, 4926, 538, 269, 18888, 10956, 563, 1432, 616, 519, 476, 274, 1292, 2010, 540, 1973, 8043, 888, 1432, 798, 1973, 8043, 798, 888, 5445, 616, 8685, 601, 833, 3889, 998, 799, 1973, 8928, 998, 454, 1432, 1808, 2816, 1281, 16209, 798, 888, 10111 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 619, 1223, 4931, 1203, 269, 4595, 590, 5308, 267, 24114, 268, 24433, 267, 1185, 547, 3390, 782, 1463, 1161, 547, 519, 3490, 6810, 998, 2910, 300, 313, 267, 24114, 268, 24433, 267, 4937, 700, 1046, 514, 779, 4566, 941, 12012, 610, 16607, 538, 11063, 609, 824, 4566, 543, 14422, 269, 9282, 519, 14364, 4971, 6836, 547, 2150, 4120, 519, 9055, 540, 4971, 267, 519, 1439, 540, 519, 31512, 1014, 5859, 1336, 519, 3515, 540, 5539, 1063, 2910, 300, 313, 267, 24114, 8894, 24433, 267, 543, 590, 5308, 267, 24114, 24433, 267, 543, 1063, 590, 5308, 267, 24114, 24433, 267, 543, 19200, 295, 304, 779, 717, 268, 275, 1869, 15458, 269, 634, 19200, 295, 304, 717, 268, 275, 267, 9117, 607, 1544, 1676, 585, 519, 954, 5025, 961, 1221, 5234, 543, 849, 538, 1010, 24114, 24433, 4390, 267, 4749, 13234, 538, 519, 2361, 540, 3761, 543, 18808, 609, 519, 3490, 6810, 2047, 1141, 590, 5308, 6392, 1058, 723, 7173, 9229, 269, 901, 4971, 5832, 30174, 585, 1776, 1032, 2394, 519, 27072, 540, 2910, 300, 313, 267, 24114, 24433, 267, 543, 519, 28051, 540, 2845, 6750, 4238, 896, 590, 5308, 267, 24114, 24433, 267, 593, 476, 736, 5988, 476, 3707, 275, 269, 10738, 602, 5832, 267, 23394, 269, 2637, 269, 18496, 589, 269, 5096, 2581, 267, 607, 19200, 295, 304, 11653, 267, 849, 19500, 607, 8783, 11653, 547, 519, 24114, 24433, 543, 519, 2910, 300, 313, 267, 24114, 268, 24433, 267, 12981, 269, 1306, 609, 824, 1977, 5234, 10492, 13974, 13883, 267, 646, 1185, 547, 3314, 538, 799, 4390, 646, 729, 9117, 538, 1022, 2016, 2339, 563, 8448, 8374, 4797, 547, 20575, 519, 772, 2529, 269, 8136, 2845, 6750, 1062, 538, 3345, 4000, 269, 634, 8783, 338, 540, 772, 2529, 269, 8136, 2930, 2533, 7283, 693, 19200, 295, 304, 270, 2793, 15674, 24433, 3079, 540, 22151, 547, 590, 5308, 267, 24114, 24433, 267, 607, 1522, 723, 1044, 4397, 269, 901, 11460, 2417, 4931, 30533, 539, 700, 1046, 514, 779, 12732, 540, 1852, 543, 6392, 269, 7053, 267, 590, 5308, 267, 24114, 24433, 267, 1185, 547, 1305, 909, 922, 22071, 693, 2107, 534, 267, 519, 9030, 1977, 3761, 3490, 538, 3345, 4000, 267, 4352, 19200, 295, 304, 270, 2793, 15674, 24433, 22071, 19698, 2482, 693, 13641, 4536, 267, 936, 476, 1220, 5195, 547, 519, 7532, 269, 18058, 936, 713, 3845, 1419, 30281, 2845, 6750, 5114, 942, 563, 763, 10661, 540, 590, 5308, 267, 24114, 268, 24433, 267, 2813, 513, 1007, 1305, 540, 10986, 2042, 585, 519, 8030, 269, 634, 23910, 8791, 540, 590, 5308, 267, 24114, 24433, 267, 1217, 958, 3357, 883, 1373, 538, 5988, 609, 3670, 10492, 543, 5722, 21821, 539, 2367, 22666, 689, 519, 476, 272, 560, 23910, 2549, 874, 756, 1014, 23394, 1228, 269, 3502, 2394, 4989, 1705, 519, 3296, 4309, 606, 28286, 618, 540, 2947, 10492, 543, 27552, 21821, 539, 2367, 543, 2132, 519, 22666, 10986, 547, 519, 32531, 1228, 269, 21231, 267, 519, 9030, 1599, 540, 519, 1507, 590, 5308, 267, 24114, 24433, 267, 23910, 8791, 729, 547, 1852, 543, 12575, 1270, 29792, 585, 11653, 7727, 602, 519, 3490, 3296, 8030, 16668, 593, 519, 2136, 2276, 610, 519, 2136, 8003, 269, 769, 2490, 267, 519, 1292, 4247, 540, 519, 3490, 3296, 8030, 1282, 519, 31512, 1014, 5859, 941, 547, 4020, 543, 2226, 3761, 11507, 543, 547, 7500, 11653, 3761, 1244, 1824, 269, 5325, 454, 4263, 23007, 12476, 8791, 454, 5472, 2059, 519, 1279, 1899, 540, 10618, 689, 16629, 629, 331, 4545, 320, 7532, 267, 21339, 4682, 4464, 609, 782, 2009, 3432, 585, 519, 23801, 12959, 538, 31512, 807, 269, 23910, 7727, 543, 3937, 3357, 883, 9533, 12476, 8791, 630, 5723, 306, 264, 693, 16629, 629, 331, 4545, 320, 693, 519, 2557, 540, 476, 273, 267, 1822, 9748, 829, 5996, 1195, 267, 543, 589, 7034, 9783, 1804, 5666, 540, 11653, 7727, 547, 4559, 588, 1645, 585, 31512, 807, 269, 634, 1244, 582, 9021, 3454, 539, 519, 589, 7034, 11653, 3761, 10986, 630, 321, 16742, 1472, 519, 476, 26493, 560, 23910, 3493, 582, 7577, 264, 547, 519, 3970, 267, 543, 2199, 4074, 1223, 711, 2743, 519, 6595, 269, 769, 4989, 519, 12625, 540, 606, 11653, 2489, 3028, 2754, 552, 1078, 519, 1966, 693, 519, 589, 7034, 11653, 1244, 582, 563, 16215, 7569, 585, 1082, 3688, 538, 4430, 540, 7305, 540, 9978, 14190, 1734, 267, 1927, 609, 513, 3395, 991, 585, 27723, 811, 1570, 585, 8027, 267, 10506, 267, 543, 7254, 3202, 6703, 982, 8385, 9709, 267, 5116, 1034, 3688, 538, 589, 7034, 11653, 546, 7927, 538, 519, 968, 322, 15560, 892, 7121, 269, 14716, 7727, 689, 519, 2136, 2276, 18848, 3022, 2484, 3297, 1270, 29792, 543, 22876, 1005, 12725, 971, 3688, 607, 9160, 267, 29421, 267, 543, 5122, 543, 21818, 3937, 729, 2352, 269, 589, 2101, 6749, 538, 20558, 2094, 519, 12176, 540, 2112, 538, 2342, 538, 476, 4350, 280, 1185, 2813, 513, 3978, 17732, 540, 4070, 7727, 540, 782, 2010, 2429, 3943, 25448, 267, 543, 2199, 22278, 543, 9755, 22157, 547, 3180, 1394, 2326, 602, 1522, 2663, 3142, 2362, 5777, 282, 2705, 267, 21438, 11449, 585, 11653, 3761, 3688, 7361, 22848, 877, 519, 2199, 27147, 1966, 563, 3528, 4571, 5336, 599, 267, 693, 519, 1439, 540, 519, 31512, 1014, 5859, 267, 589, 7034, 8030, 1185, 12303, 6192, 741, 1378, 4070, 1982, 543, 1185, 9783, 9748, 540, 12725, 22876, 3293, 4070, 1570, 269, 2311, 519, 1482, 942, 267, 1447, 982, 3368, 519, 4070, 7727, 589, 7034, 8030, 1185, 1270, 9974, 539, 689, 519, 2136, 2276, 1185, 6603, 16629, 629, 331, 4545, 320, 269, 13518, 540, 519, 7508, 544, 831, 1408, 602, 3459, 547, 12446, 1282, 8011, 532, 4374, 729, 1100, 3476, 2877, 269, 1635, 3735, 4873, 589, 7034, 11653, 546, 7927, 8659, 476, 1015, 2929, 4604, 3952, 540, 13311, 29421, 269, 4366, 454, 8469, 10882, 12476, 8791, 454, 4263, 2107, 534, 267, 519, 3135, 540, 1312, 11335, 12476, 8791, 630, 300, 7034, 264, 543, 590, 5308, 267, 24114, 24433, 267, 10986, 2042, 941, 1454, 519, 1482, 607, 1346, 693, 589, 7034, 269, 9050, 11653, 3761, 1244, 1824, 941, 538, 519, 2107, 534, 1858, 676, 3735, 5412, 476, 3707, 273, 267, 855, 1152, 519, 476, 14596, 628, 23910, 3493, 582, 7577, 630, 1652, 835, 3531, 3019, 264, 729, 2139, 547, 7500, 873, 269, 1306, 2038, 607, 5412, 606, 11653, 29746, 14903, 2754, 543, 1079, 3549, 540, 519, 476, 272, 560, 23910, 2549, 874, 756, 1014, 23394, 1228, 1185, 547, 581, 11651, 1540, 547, 1244, 582, 4238, 267, 543, 519, 1244, 1824, 849, 6964, 827, 476, 8517, 2199, 31356, 269, 769, 4571, 342, 5793, 519, 896, 560, 31104, 630, 272, 11464, 543, 476, 3199, 21821, 539, 2367, 264, 476, 278, 1428, 628, 23910, 3493, 582, 7577, 8678, 519, 3196, 269, 1635, 4728, 267, 950, 519, 476, 29121, 628, 23910, 3493, 582, 7577, 6603, 2107, 534, 689, 519, 18630, 540, 519, 25181, 630, 313, 296, 1070, 519, 631, 7034, 11653, 1244, 1824, 941, 14139, 5111, 476, 272, 267, 4335, 2199, 31356, 269, 769, 4989, 519, 476, 5379, 273, 526, 23910, 3493, 582, 7577, 8452, 689, 519, 2098, 296, 269, 11048, 267, 519, 631, 7034, 11653, 7683, 1185, 547, 1039, 20060, 6269, 569, 11653, 1033, 778, 906, 547, 519, 1244, 582, 3196, 269, 1452, 1033, 778, 906, 3622, 1185, 1100, 3761, 2866, 543, 1185, 547, 1451, 593, 519, 2816, 547, 796, 2903, 267, 6023, 267, 4558, 267, 543, 2272, 585, 11653, 7727, 269, 5392, 454, 14112, 1137, 540, 3937, 267, 2523, 6472, 267, 849, 12735, 4240, 11653, 3761, 4238, 1369, 631, 7034, 269, 1306, 540, 5988, 476, 3707, 274, 519, 476, 14596, 628, 23910, 3493, 582, 7577, 267, 519, 1101, 971, 1770, 538, 519, 2107, 534, 1858, 267, 729, 476, 1789, 2600, 2110, 540, 922, 570, 10621, 6472, 267, 519, 476, 278, 1428, 628, 23910, 3493, 582, 7577, 476, 2568, 2600, 2110, 267, 543, 824, 11653, 4559, 8655, 547, 1244, 582, 4238, 606, 3328, 540, 476, 4029, 269, 276, 2600, 454, 26211, 269, 634, 1034, 3978, 991, 729, 29746, 18114, 267, 543, 519, 631, 7034, 11653, 7683, 6836, 547, 3489, 811, 540, 873, 269, 769, 3735, 5130, 476, 3707, 274, 646, 16761, 519, 5207, 11288, 10862, 585, 29746, 18114, 267, 15738, 856, 602, 789, 6719, 513, 1360, 1507, 6871, 540, 11653, 9522, 333, 720, 269, 2004, 634, 31512, 1014, 5859, 8694, 267, 2705, 267, 1354, 519, 1966, 729, 12193, 563, 7628, 5130, 476, 3707, 274, 631, 7034, 11653, 1244, 1824, 25855, 606, 3328, 540, 476, 7742, 9748, 540, 11653, 7727, 829, 1554, 7532, 1189, 547, 1489, 4238, 538, 31512, 807, 269, 634, 4137, 9782, 547, 476, 6110, 9748, 538, 5988, 267, 476, 4335, 9748, 538, 4728, 267, 543, 476, 12010, 9748, 538, 4989, 282, 2705, 267, 519, 1439, 540, 519, 31512, 1014, 5859, 538, 4571, 5336, 599, 4547, 602, 3923, 779, 3328, 1524, 547, 476, 14596, 269, 2755, 519, 631, 7034, 8030, 941, 29307, 7727, 267, 789, 849, 1185, 547, 6023, 5051, 1804, 2256, 328, 14186, 269, 769, 5988, 267, 585, 1383, 267, 631, 7034, 11653, 1244, 1824, 4607, 606, 3328, 540, 476, 7785, 9748, 540, 7727, 543, 3937, 829, 1554, 267, 543, 693, 519, 1439, 540, 519, 3923, 11653, 1244, 582, 13632, 4114, 13846, 476, 3374, 267, 1822, 9748, 269, 634, 2256, 18967, 3328, 585, 4728, 729, 827, 476, 10384, 9748, 513, 1554, 267, 585, 4989, 5111, 476, 272, 267, 6110, 9748, 267, 543, 585, 2904, 476, 272, 267, 23841, 9748, 269, 2311, 519, 1439, 540, 2904, 267, 631, 7034, 11653, 1244, 1824, 4371, 811, 982, 476, 1911, 267, 1822, 9748, 540, 11653, 7727, 543, 3937, 269, 7906, 454, 292, 6141, 12476, 8791, 454, 2793, 15674, 24433, 3964, 519, 8109, 12476, 8791, 630, 292, 7034, 264, 593, 476, 1724, 5988, 476, 3707, 274, 547, 1489, 4083, 17620, 538, 31512, 807, 269, 634, 19524, 729, 2051, 269, 14880, 654, 269, 623, 775, 267, 543, 519, 8783, 540, 519, 23910, 8791, 729, 2051, 269, 18496, 645, 269, 17566, 269, 634, 4971, 6896, 543, 9333, 809, 4058, 693, 2107, 534, 267, 543, 593, 476, 2537, 5988, 3459, 3001, 7532, 1189, 547, 4790, 14932, 267, 538, 27988, 807, 267, 827, 476, 1911, 5195, 2110, 540, 519, 31512, 1014, 8473, 269, 634, 3919, 540, 661, 7034, 5176, 14626, 3660, 609, 1713, 2242, 538, 28365, 4971, 1369, 20466, 4229, 538, 3345, 4000, 269, 2201, 476, 278, 4728, 700, 339, 269, 2637, 269, 6723, 590, 269, 4793, 2023, 267, 12789, 1421, 3576, 936, 4971, 540, 4083, 17620, 689, 20727, 269, 2637, 269, 32008, 681, 269, 12049, 754, 718, 267, 543, 4083, 17620, 5293, 689, 519, 1852, 540, 519, 3703, 3689, 8136, 547, 602, 540, 476, 1240, 8136, 6828, 267, 4937, 11184, 29733, 681, 269, 700, 269, 717, 269, 12138, 4971, 532, 269, 634, 3703, 3689, 543, 661, 12915, 14022, 625, 27648, 519, 824, 2101, 3334, 540, 476, 1240, 8136, 6828, 563, 763, 9030, 2042, 661, 7034, 8030, 5185, 941, 8391, 267, 13936, 267, 543, 29307, 544, 831, 1408, 282, 28472, 543, 4509, 3761, 9897, 282, 2679, 7850, 1244, 582, 6703, 543, 15945, 282, 543, 11222, 22626, 16788, 693, 10218, 5271, 4068, 543, 24942, 267, 593, 519, 11335, 5032, 5087, 689, 4790, 14932, 269, 634, 13766, 540, 2656, 5114, 547, 2242, 538, 519, 3356, 540, 519, 2666, 5859, 21630, 661, 7034, 689, 589, 7034, 543, 631, 7034, 563, 1103, 4728, 519, 9030, 661, 7034, 11653, 1244, 582, 2482, 693, 1855, 321, 612, 320, 267, 2673, 547, 519, 31512, 1014, 8473, 267, 827, 476, 8099, 5195, 22703, 540, 4790, 14932, 543, 1369, 5266, 2653, 5885, 3845, 540, 4083, 17620, 269, 1879, 4083, 17620, 10393, 6410, 547, 7187, 31512, 807, 538, 4989, 267, 661, 7034, 8030, 4553, 9290, 269, 1358, 13671, 693, 513, 13148, 9112, 661, 7034, 2489, 1244, 582, 693, 631, 1180, 990, 328, 267, 827, 8938, 19317, 5195, 5045, 540, 24942, 267, 543, 6385, 1305, 909, 4434, 11653, 546, 7927, 693, 5487, 2836, 548, 454, 663, 21741, 1046, 320, 267, 593, 519, 5032, 7532, 689, 24942, 269, 14146, 532, 5216, 268, 2023, 543, 28465, 268, 2023, 13009, 619, 267, 1851, 824, 6472, 267, 8030, 32357, 4464, 11653, 7727, 543, 3937, 711, 1152, 689, 1855, 321, 612, 320, 543, 631, 1180, 990, 328, 855, 849, 689, 661, 7034, 1244, 1824, 693, 853, 11607, 28846, 543, 744, 27968, 31670, 332, 1735, 269, 634, 4028, 267, 476, 2190, 16923, 8584, 6377, 11653, 12761, 5129, 513, 1804, 851, 538, 1818, 4083, 17620, 685, 16190, 4434, 4724, 645, 6500, 974, 2009, 269, 7367, 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 ]
[ 568, 519, 15186, 2347, 884, 857, 383, 378, 322, 566, 585, 519, 544, 515, 326, 268, 276, 1062, 547, 581, 3059, 18714, 8613, 544, 515, 326, 268, 276, 884, 857, 383, 378, 322, 566, 544, 5060, 1895, 546, 269, 476, 1001, 279, 268, 277, 268, 1556, 3059, 8613, 630, 19049, 341, 264, 568, 606, 4359, 31076, 2029, 602, 814, 9927, 519, 8613, 13156, 1995, 24303, 341, 6087, 3376, 322, 7539, 547, 2709, 8613, 609, 1732, 4605, 543, 3280, 2298, 267, 543, 2789, 9055, 540, 5752, 269, 476, 1001, 279, 268, 277, 268, 1691, 544, 701, 326, 3288, 781, 693, 2675, 14664, 14769, 12689, 2488, 1569, 547, 1898, 14664, 2924, 585, 519, 3059, 18714, 8613, 3044, 2919, 676, 519, 4359, 8613, 1949, 12233, 630, 1846, 322, 264, 543, 1031, 538, 3059, 751, 4582, 2888, 267, 20303, 10833, 543, 824, 2472, 5627, 3059, 8613, 2256, 1392, 4421, 538, 519, 8087, 2829, 269, 17276, 487, 497, 19764, 478, 417, 379, 483, 18021, 498, 4970, 375, 421, 350, 369, 269, 476, 1001, 279, 268, 277, 268, 275, 519, 5912, 689, 1387, 4084, 547, 3059, 18714, 8613, 31076, 6799, 6608, 267, 3376, 322, 7539, 267, 22124, 543, 519, 2489, 1857, 609, 10373, 3255, 543, 2591, 269, 476, 1001, 279, 268, 275, 268, 274, 8552, 3970, 13968, 585, 3059, 18714, 8613, 31076, 536, 339, 6344, 278, 1239, 1569, 2409, 585, 3059, 18714, 8613, 269, 901, 1867, 23607, 519, 5001, 6990, 585, 3059, 18714, 8613, 630, 323, 1777, 264, 538, 1297, 540, 10820, 538, 5215, 519, 1867, 2488, 5094, 3102, 12642, 585, 519, 721, 267, 28492, 267, 30978, 267, 21570, 267, 607, 807, 1790, 6680, 267, 32204, 13314, 267, 543, 269, 476, 1001, 279, 268, 277, 268, 280, 8613, 538, 519, 14081, 540, 476, 790, 1633, 568, 2139, 998, 513, 3099, 540, 5867, 519, 3059, 18714, 8613, 3028, 568, 1634, 607, 1094, 528, 1613, 543, 568, 519, 3119, 2707, 540, 13739, 8613, 2094, 1387, 4084, 18993, 3827, 8694, 593, 563, 1001, 279, 268, 276, 268, 2420, 938, 5989, 543, 4702, 6791, 5849, 3059, 18714, 8613, 630, 323, 1777, 264, 3376, 322, 7539, 3914, 741, 9458, 2066, 519, 20410, 269, 476, 1001, 278, 268, 277, 268, 272, 3059, 18714, 26725, 3795, 1299, 21200, 6538, 281, 6059, 3795, 540, 3059, 18714, 8613, 630, 3066, 23142, 10473, 264, 3059, 18714, 269, 476, 1001, 272, 268, 1321, 268, 2764, 476, 272, 2930, 3044, 585, 3059, 18714, 8613, 31076, 3948, 540, 519, 26313, 6392, 476, 275, 563, 1001, 279, 268, 277, 268, 1724, 3059, 18714, 8613, 630, 323, 1777, 341, 610, 546, 1777, 264, 568, 513, 2029, 585, 13739, 8613, 538, 799, 2244, 2861, 630, 614, 14111, 264, 8613, 10473, 13739, 8613, 1543, 676, 5925, 6329, 547, 751, 4582, 2888, 538, 6800, 262, 4036, 1878, 538, 513, 3059, 3898, 269, 476, 1001, 277, 268, 280, 268, 276, 1867, 593, 519, 2104, 540, 18714, 31076, 17161, 281, 18714, 31076, 267, 9682, 267, 10814, 267, 4950, 519, 5912, 547, 3059, 18714, 5925, 563, 4097, 6505, 562, 330, 10440, 1696, 620, 281, 3059, 18714, 8613, 9194, 2591, 1107, 513, 2013, 1353, 540, 1990, 25995, 521, 1387, 4084, 6771, 4609, 602, 269, 476, 1001, 276, 268, 274, 268, 273, 519, 5912, 689, 1387, 4084, 547, 3059, 18714, 8613, 538, 575, 327, 3570, 513, 6881, 547, 519, 3059, 31076, 6467, 1478, 8468, 630, 323, 2125, 325, 1070, 795, 2129, 2335, 525, 7921, 267, 5045, 21562, 269, 0, 19865, 476, 272, 281, 4032, 30498, 540, 476, 279, 1677, 1205, 3323, 267, 6108, 942, 609, 513, 4116, 610, 3659, 6947, 547, 513, 3099, 540, 2575, 563, 5194, 570, 7709, 281, 1879, 8026, 519, 10726, 267, 538, 1840, 2085, 540, 13299, 4786, 9375, 547, 10203, 267, 922, 2141, 1434, 547, 1205, 930, 1560, 3350, 563, 23389, 31787, 538, 519, 5428, 10353, 645, 919, 1317, 540, 1010, 2250, 7681, 609, 519, 5700, 9539, 1054, 902, 563, 2252, 513, 5152, 588, 7927, 596, 267, 1847, 593, 3533, 267, 1317, 596, 723, 547, 5873, 621, 538, 519, 2653, 4773, 1354, 596, 666, 5873, 621, 538, 519, 9875, 8631, 563, 11847, 3016, 534, 3760, 15538, 540, 476, 1704, 3616, 25730, 540, 6240, 267, 540, 799, 476, 1015, 18808, 2047, 609, 519, 2152, 540, 1863, 3037, 3741, 267, 8474, 267, 519, 674, 1872, 1438, 32013, 2920, 267, 543, 519, 11091, 540, 519, 5742, 267, 1247, 519, 6967, 476, 278, 7231, 609, 824, 2152, 15660, 2219, 2575, 729, 811, 4351, 267, 2141, 1114, 269, 3719, 621, 781, 711, 3020, 602, 942, 693, 1022, 835, 4090, 630, 773, 2034, 676, 2034, 264, 4991, 5488, 15301, 20211, 2033, 2930, 9623, 281, 4053, 5974, 1289, 621, 476, 1321, 1532, 541, 21462, 267, 513, 3046, 1373, 27325, 585, 513, 2185, 15515, 520, 2268, 281, 4700, 1912, 337, 2084, 568, 1271, 267, 1317, 693, 519, 13591, 1377, 543, 1657, 596, 786, 7544, 547, 519, 2101, 2453, 8160, 12578, 585, 267, 13030, 5518, 6993, 1164, 2837, 630, 320, 8611, 267, 711, 1175, 9849, 1932, 1082, 7914, 619, 264, 2306, 938, 8226, 540, 942, 1689, 865, 621, 7959, 14887, 16638, 1034, 540, 721, 267, 2705, 267, 519, 27266, 14251, 725, 2953, 12106, 540, 16563, 24384, 984, 809, 2933, 1210, 21765, 269, 2710, 519, 476, 272, 338, 543, 476, 276, 338, 3100, 547, 723, 519, 1482, 8561, 286, 2080, 1352, 6941, 630, 528, 16355, 1407, 264, 824, 13655, 540, 942, 563, 1432, 338, 865, 1271, 827, 10203, 519, 7574, 2497, 888, 257, 5591, 835, 15055, 547, 1294, 519, 2262, 1412, 335, 20191, 1377, 262, 593, 513, 5619, 602, 814, 4376, 547, 798, 609, 1004, 596, 917, 3081, 681, 2135, 3570, 20484, 267, 7022, 540, 519, 22439, 2871, 843, 563, 1103, 19702, 2406, 267, 519, 4116, 786, 1376, 519, 2575, 543, 1287, 1293, 1945, 899, 563, 6546, 338, 875, 12372, 4308, 609, 7544, 2575, 267, 543, 972, 616, 25249, 945, 1246, 713, 2619, 540, 2185, 1701, 2691, 594, 4718, 602, 14732, 2037, 2431, 945, 594, 1589, 540, 607, 9649, 538, 5339, 5708, 267, 11537, 1472, 519, 1158, 1223, 1152, 6133, 476, 280, 267, 1822, 12215, 538, 519, 14389, 7868, 2247, 3096, 938, 2631, 540, 2230, 543, 8823, 547, 1711, 513, 2631, 540, 519, 2104, 16638, 713, 1433, 267, 513, 1305, 540, 476, 279, 20054, 5654, 899, 713, 630, 16694, 602, 789, 516, 538, 8424, 267, 799, 786, 1118, 2631, 1310, 596, 1224, 519, 1985, 1079, 11271, 6787, 596, 666, 5873, 5036, 540, 476, 279, 610, 711, 267, 5036, 540, 476, 279, 616, 538, 519, 2575, 269, 2690, 1631, 267, 2628, 3007, 607, 707, 4116, 12523, 596, 538, 547, 1376, 513, 7544, 15660, 729, 12955, 547, 917, 1010, 5728, 282, 865, 594, 14059, 1864, 543, 4280, 1946, 1010, 15472, 729, 865, 10058, 6993, 5619, 689, 519, 22439, 2871, 843, 8761, 513, 476, 1789, 2600, 7771, 538, 2278, 4747, 2094, 476, 1220, 280, 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 ]
[ 815, 1923, 1990, 8975, 479, 1923, 3980, 503, 1923, 1990, 8975, 480, 1923, 780, 3287, 328, 264, 1923, 1990, 8975, 479, 270, 345, 8975, 480, 347, 815, 1923, 1990, 8975, 479, 1923, 270, 347, 1990, 8975, 480, 1923, 780, 3287, 4512, 264, 630, 320, 264, 2415, 269, 630, 345, 8975, 479, 1990, 8975, 480, 264, 815, 2415, 269, 1990, 8975, 479, 1341, 2415, 269, 1990, 8975, 480, 1341, 1109, 332, 692, 6357, 264, 2415, 269, 630, 345, 8975, 479, 270, 345, 8975, 480, 264, 815, 2415, 269, 1990, 8975, 479, 1107, 2415, 269, 1990, 8975, 480, 1341, 1109, 332, 1109, 3602, 1109, 332, 1109, 284, 476, 271, 610, 267, 476, 273, 11027, 610, 267, 11196, 476, 273, 11027, 6393, 3287, 13839, 264, 1403, 28911, 581, 519, 16494, 13306, 3597, 540, 9322, 1287, 28911, 815, 476, 16006, 11196, 476, 272, 1341, 20734, 274, 328, 264, 610, 267, 28911, 815, 476, 16006, 11196, 272, 1107, 20734, 274, 328, 2020, 3287, 643, 264, 28911, 23326, 815, 476, 272, 543, 476, 272, 1341, 28911, 1341, 28911, 11054, 815, 476, 271, 692, 24868, 566, 1384, 9217, 264, 1403, 1535, 9775, 2047, 607, 586, 267, 649, 2328, 1535, 3980, 507, 586, 610, 267, 1535, 815, 1109, 5652, 1141, 1109, 330, 28812, 513, 3586, 540, 8390, 780, 23870, 264, 1403, 1535, 9775, 11201, 569, 607, 586, 267, 649, 2328, 1535, 3980, 507, 476, 272, 30819, 610, 267, 1535, 815, 1109, 332, 1109, 4501, 503, 630, 272, 30819, 264, 1141, 1109, 332, 28812, 513, 3586, 540, 8390, 780, 31702, 264, 1403, 1535, 3980, 507, 586, 950, 1109, 345, 28812, 3586, 543, 1535, 3980, 507, 1990, 950, 1109, 344, 28812, 3586, 1287, 1535, 3980, 507, 1109, 344, 345, 950, 1312, 1109, 344, 30548, 1109, 345, 1109, 341, 776, 780, 5649, 3371, 281, 1215, 547, 24143, 14451, 595, 294, 5183, 538, 8274, 11929, 692, 6635, 603, 5471, 673, 4273, 1833, 630, 288, 10422, 4700, 1384, 9217, 264, 634, 2489, 1106, 540, 606, 589, 269, 623, 269, 568, 513, 267, 513, 1341, 546, 267, 513, 1341, 476, 273, 323, 267, 513, 1341, 476, 274, 323, 267, 16634, 780, 3602, 1109, 320, 28812, 519, 1101, 2165, 543, 1109, 323, 267, 519, 1455, 3017, 540, 519, 589, 10422, 780, 23870, 264, 634, 32671, 2165, 540, 519, 1657, 589, 10422, 269, 568, 512, 8975, 478, 815, 513, 1341, 630, 333, 1107, 476, 272, 264, 323, 780, 31702, 264, 634, 2040, 540, 1101, 562, 1768, 985, 540, 519, 1657, 589, 10422, 269, 568, 521, 815, 562, 270, 273, 630, 320, 1341, 561, 264, 815, 630, 5591, 269, 540, 2474, 270, 273, 25011, 272, 560, 2165, 1341, 2063, 2165, 316, 610, 267, 590, 815, 2340, 479, 379, 270, 8975, 480, 1496, 273, 320, 1341, 630, 333, 1107, 476, 272, 264, 546, 6540, 263, 643, 264, 634, 12980, 1611, 1063, 1079, 2016, 2338, 513, 543, 536, 568, 630, 320, 1341, 536, 8358, 273, 780, 17635, 264, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 2560, 2507, 1341, 562, 815, 1496, 333, 3799, 1341, 476, 272, 13580, 270, 273, 780, 263, 12858, 264, 476, 272, 11054, 1341, 476, 273, 11054, 1341, 476, 274, 11054, 1341, 16414, 16634, 1341, 562, 11054, 815, 1496, 333, 3799, 266, 476, 272, 7565, 273, 333, 266, 476, 272, 13580, 270, 277, 780, 17635, 4512, 264, 476, 272, 23326, 1341, 476, 273, 23326, 1341, 476, 274, 23326, 1341, 1547, 1547, 1547, 1547, 1341, 562, 23326, 815, 1496, 346, 333, 3799, 1341, 476, 272, 14587, 270, 273, 9948, 11054, 780, 10481, 2210, 3740, 4273, 1833, 630, 294, 10422, 4700, 1384, 9217, 264, 634, 2489, 1106, 540, 513, 717, 10422, 269, 568, 513, 267, 818, 267, 818, 11054, 267, 818, 23326, 267, 1547, 1547, 1547, 1547, 1547, 1141, 513, 568, 519, 1101, 2165, 543, 678, 267, 519, 1455, 5223, 540, 519, 717, 10422, 780, 23870, 264, 634, 562, 555, 2165, 540, 519, 1657, 717, 10422, 269, 568, 512, 8975, 478, 815, 513, 25331, 333, 6629, 272, 333, 6629, 272, 1109, 780, 31702, 264, 634, 2040, 540, 1101, 562, 2474, 540, 519, 1657, 717, 10422, 269, 568, 590, 815, 513, 3980, 503, 27883, 272, 1107, 678, 22397, 379, 19422, 272, 1107, 678, 13580, 950, 910, 272, 2999, 678, 2999, 476, 272, 692, 528, 267, 590, 815, 513, 3980, 503, 27883, 337, 22397, 379, 1107, 476, 272, 19422, 337, 1107, 476, 272, 264, 9948, 15290, 678, 3436, 476, 272, 610, 678, 2999, 910, 272, 780, 263, 643, 264, 634, 12166, 1611, 540, 1079, 2318, 2338, 513, 543, 536, 568, 20734, 263, 629, 264, 610, 267, 910, 18414, 263, 629, 6393, 17635, 264, 513, 1341, 818, 1341, 818, 11054, 1341, 2560, 16414, 269, 3980, 508, 815, 513, 14370, 272, 1107, 678, 264, 1141, 11196, 272, 2999, 678, 2999, 476, 272, 6393, 763, 800, 540, 28065, 17817, 1384, 1314, 11054, 1341, 536, 343, 1341, 524, 815, 476, 271, 2560, 630, 272, 2020, 9217, 264, 24306, 540, 519, 3830, 630, 272, 264, 616, 1535, 815, 2715, 268, 321, 13008, 20734, 263, 321, 11054, 1107, 476, 275, 659, 14587, 270, 273, 320, 780, 23870, 264, 1403, 14668, 543, 16061, 581, 519, 5072, 540, 519, 3830, 630, 272, 264, 1287, 10484, 8999, 540, 922, 5072, 815, 14668, 1341, 16061, 815, 1107, 536, 21669, 815, 1107, 630, 1723, 324, 2310, 540, 1535, 19422, 1723, 324, 2310, 540, 1535, 11054, 3738, 16963, 663, 1587, 540, 922, 5072, 815, 14668, 15512, 815, 524, 21669, 815, 630, 17746, 656, 2165, 1315, 263, 290, 4141, 2310, 540, 1535, 11054, 6393, 31702, 264, 634, 13392, 3830, 4171, 5072, 616, 14668, 543, 16061, 568, 692, 343, 11054, 1107, 630, 10382, 1341, 16061, 32589, 1341, 14668, 15512, 815, 476, 271, 692, 328, 4318, 269, 2073, 1535, 11054, 1107, 630, 8999, 540, 519, 5072, 264, 1535, 1341, 1587, 540, 519, 5072, 815, 476, 271, 780, 263, 643, 264, 634, 4082, 630, 321, 11054, 1107, 476, 275, 659, 264, 568, 1572, 519, 5806, 5364, 540, 3830, 630, 272, 6393, 17635, 264, 1403, 513, 267, 536, 267, 524, 616, 1483, 543, 7787, 1287, 519, 5072, 540, 3830, 630, 272, 264, 616, 692, 5416, 264, 1483, 543, 3982, 950, 536, 11054, 1107, 476, 275, 659, 3436, 476, 271, 16963, 6357, 264, 1483, 543, 3160, 950, 536, 11054, 1107, 476, 275, 659, 815, 476, 271, 16963, 6262, 264, 16494, 950, 536, 11054, 1107, 476, 275, 659, 2999, 476, 271, 16963, 5560, 264, 7787, 950, 536, 11054, 268, 476, 275, 659, 568, 513, 3501, 4009, 543, 692, 16216, 264, 19450, 950, 536, 11054, 1107, 476, 275, 659, 568, 711, 513, 3501, 4009, 780, 263, 12858, 264, 1403, 14668, 1341, 1775, 15512, 581, 835, 3597, 540, 3830, 630, 272, 264, 1287, 922, 824, 3597, 786, 581, 31669, 1950, 7274, 14668, 1107, 1775, 15512, 543, 598, 14287, 630, 320, 267, 536, 267, 524, 616, 1483, 6393, 17635, 4512, 264, 1403, 14668, 1341, 20734, 15512, 581, 835, 3597, 540, 3830, 630, 272, 264, 1287, 922, 824, 3597, 786, 581, 31669, 19450, 7274, 14668, 1107, 20734, 15512, 630, 320, 267, 536, 267, 524, 616, 7787, 6393, 303, 1069, 16615, 1384, 9217, 264, 2340, 490, 488, 333, 630, 528, 267, 562, 14386, 815, 562, 630, 333, 1107, 476, 272, 264, 630, 333, 1107, 476, 273, 264, 3980, 503, 4501, 503, 4501, 503, 4501, 503, 4501, 503, 4501, 503, 4501, 503, 4501, 503, 4501, 503, 476, 274, 4501, 503, 273, 4501, 503, 272, 780, 23870, 264, 476, 271, 256, 815, 476, 272, 780, 31702, 264, 7089, 540, 32545, 540, 562, 1114, 1919, 3144, 678, 630, 18016, 562, 264, 693, 513, 942, 2340, 479, 379, 303, 8975, 478, 815, 562, 256, 14370, 333, 1107, 476, 272, 25631, 815, 562, 630, 333, 1107, 476, 272, 7565, 333, 1107, 476, 273, 264, 3980, 503, 4501, 503, 4501, 503, 4501, 503, 4501, 503, 4501, 503, 4501, 503, 4501, 503, 630, 333, 1107, 678, 1341, 476, 272, 6393, 263, 643, 264, 7089, 540, 32545, 540, 562, 1114, 1919, 3144, 782, 693, 513, 942, 815, 2340, 479, 379, 303, 8975, 478, 815, 562, 256, 780, 17635, 264, 7089, 540, 32545, 540, 562, 1919, 3144, 782, 693, 513, 942, 538, 799, 533, 1919, 616, 7567, 540, 513, 1101, 2186, 267, 7117, 1919, 616, 7567, 540, 513, 2034, 2186, 267, 678, 1919, 616, 7567, 540, 513, 3791, 2186, 543, 519, 1964, 616, 782, 1114, 267, 568, 2340, 479, 379, 283, 31078, 2511, 284, 685, 325, 2632, 20695, 281, 476, 2004, 260, 685, 285, 24425, 8975, 478, 692, 263, 12858, 264, 7089, 540, 32545, 540, 562, 1114, 1919, 3144, 678, 693, 513, 942, 950, 1142, 3364, 949, 581, 7368, 15399, 334, 1109, 337, 1109, 9392, 538, 1022, 32089, 267, 568, 562, 390, 367, 16317, 23382, 1588, 1384, 9217, 264, 7089, 540, 10659, 540, 1109, 333, 1109, 18528, 5166, 1919, 3144, 1109, 337, 1109, 520, 513, 942, 815, 2340, 479, 379, 24979, 1109, 284, 1109, 333, 256, 337, 256, 263, 333, 6629, 337, 25631, 333, 256, 337, 256, 263, 333, 6629, 337, 264, 2439, 23870, 264, 2340, 479, 379, 303, 8975, 478, 815, 678, 256, 4501, 503, 2340, 479, 379, 290, 8975, 478, 780, 31702, 264, 2340, 479, 379, 290, 8975, 478, 815, 2340, 479, 379, 290, 333, 1109, 284, 476, 272, 780, 263, 643, 264, 2340, 479, 379, 24979, 1109, 284, 2340, 479, 379, 290, 333, 1107, 678, 780, 17635, 264, 2340, 479, 379, 24979, 1109, 266, 2340, 479, 379, 290, 333, 1107, 476, 272, 1109, 284, 1109, 333, 266, 272, 333, 266, 272, 24979, 337, 692, 263, 12858, 264, 1403, 533, 9881, 510, 7117, 543, 2340, 479, 379, 290, 335, 1109, 284, 2340, 479, 379, 290, 336, 1109, 6533, 533, 1341, 7117, 815, 562, 780, 17635, 4512, 264, 2340, 479, 379, 24979, 270, 22397, 379, 24979, 1107, 476, 272, 1109, 284, 630, 333, 1107, 678, 1341, 476, 272, 8358, 337, 780, 17635, 13839, 264, 634, 2698, 1297, 540, 10659, 540, 562, 1114, 1919, 3144, 1022, 1297, 693, 513, 942, 815, 2340, 479, 379, 290, 8975, 479, 1341, 2340, 479, 379, 290, 8975, 480, 1341, 2340, 479, 379, 290, 8975, 481, 1341, 2560, 8796, 16634, 1341, 2340, 479, 379, 290, 8975, 478, 815, 476, 273, 22397, 379, 1107, 476, 272, 780, 263, 1460, 264, 634, 2698, 1297, 540, 10659, 540, 630, 335, 1341, 7117, 1341, 678, 1341, 1547, 1547, 1547, 1547, 264, 1919, 540, 799, 533, 1919, 616, 7567, 540, 513, 1101, 2186, 267, 7117, 1919, 616, 7567, 540, 513, 2034, 2186, 678, 1919, 616, 7567, 540, 513, 3791, 2186, 543, 865, 593, 267, 3144, 1022, 1297, 693, 513, 942, 568, 27883, 335, 1341, 476, 272, 264, 630, 336, 1341, 476, 272, 264, 630, 337, 1341, 476, 272, 264, 1547, 1547, 1547, 1547, 9948, 1107, 476, 272, 780, 289, 30796, 14497, 1384, 9217, 264, 15048, 540, 23642, 6706, 14497, 2433, 1403, 562, 568, 513, 2318, 8870, 1287, 692, 5416, 1341, 1535, 264, 333, 1109, 284, 606, 1109, 266, 1109, 333, 290, 272, 1109, 534, 1107, 476, 272, 1109, 343, 1341, 1109, 333, 290, 273, 1109, 534, 1107, 476, 273, 1109, 343, 273, 1109, 266, 2560, 16414, 907, 1341, 1109, 333, 24979, 1109, 534, 1107, 678, 1109, 343, 337, 1109, 266, 2560, 8796, 2507, 907, 1341, 1535, 333, 1109, 8796, 907, 630, 272, 2020, 23870, 264, 1403, 562, 568, 711, 513, 2318, 8870, 1287, 692, 263, 272, 1341, 1535, 264, 333, 1109, 284, 476, 272, 1341, 562, 343, 1341, 1496, 333, 3799, 1107, 476, 272, 8358, 273, 256, 316, 1535, 273, 1109, 266, 1496, 333, 3799, 1107, 476, 272, 7565, 333, 1107, 476, 273, 8358, 274, 256, 316, 1535, 274, 1109, 266, 2560, 8796, 2507, 1341, 1496, 346, 333, 3799, 268, 272, 7565, 333, 268, 273, 264, 8796, 2507, 907, 263, 333, 8573, 266, 272, 14587, 270, 337, 256, 316, 1535, 337, 266, 2560, 16414, 269, 3980, 508, 11196, 272, 2999, 1535, 2999, 476, 272, 264, 2560, 8796, 2507, 15301, 273, 2020, 31702, 264, 634, 2489, 2165, 540, 519, 7269, 630, 272, 264, 568, 630, 337, 266, 476, 272, 264, 628, 2165, 692, 284, 959, 1341, 476, 272, 1109, 284, 1109, 333, 24979, 1109, 534, 1107, 678, 1109, 343, 337, 692, 263, 643, 264, 634, 2489, 2165, 540, 519, 7269, 630, 273, 264, 568, 630, 337, 1341, 476, 272, 264, 555, 2165, 692, 284, 959, 1341, 476, 272, 1109, 284, 1496, 346, 333, 3799, 1107, 476, 272, 7565, 333, 1107, 476, 273, 264, 2507, 15301, 333, 1107, 678, 1341, 561, 14587, 270, 337, 256, 316, 3980, 503, 1535, 337, 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 ]
[ 0, 5804, 23255, 28315, 454, 15648, 9736, 32149, 6355, 6176, 267, 513, 6498, 540, 32149, 29021, 5549, 269, 2353, 2924, 11603, 269, 4534, 1607, 1257, 4016, 547, 606, 856, 540, 1820, 610, 28998, 7160, 540, 713, 2140, 563, 347, 8649, 7571, 12313, 1475, 6124, 689, 1475, 5825, 539, 689, 2008, 763, 3069, 9788, 856, 676, 519, 2278, 568, 602, 519, 1175, 1182, 593, 519, 5480, 945, 723, 519, 1034, 2702, 547, 1628, 13618, 616, 519, 1034, 3811, 543, 519, 3283, 1034, 2693, 547, 723, 741, 1862, 3367, 811, 13775, 476, 866, 2395, 3516, 676, 19291, 590, 269, 3619, 564, 3559, 454, 763, 3677, 1448, 540, 713, 1433, 568, 4277, 543, 20310, 269, 2334, 1908, 326, 658, 640, 543, 13618, 20671, 949, 581, 811, 1271, 7592, 982, 22406, 6457, 538, 8159, 1279, 3856, 1862, 3367, 811, 13775, 476, 736, 3275, 3516, 676, 32088, 454, 296, 4769, 1405, 899, 713, 585, 519, 1686, 269, 769, 1249, 267, 972, 941, 1896, 2053, 950, 594, 24714, 519, 2278, 22821, 1405, 5059, 865, 1454, 593, 5892, 1634, 23278, 4925, 610, 2984, 827, 519, 1175, 1182, 1862, 3367, 811, 13775, 593, 5412, 476, 2190, 267, 476, 1001, 273, 676, 808, 269, 9540, 16466, 454, 763, 946, 540, 5126, 8424, 3947, 513, 2027, 543, 2189, 5813, 269, 634, 2278, 1281, 711, 12404, 1010, 12886, 3823, 519, 3664, 6862, 519, 1175, 1182, 267, 855, 519, 1433, 568, 13181, 1175, 519, 1482, 1862, 3367, 811, 13775, 593, 5181, 476, 1724, 267, 476, 1001, 273, 676, 17029, 663, 16379, 454, 1231, 697, 995, 267, 5483, 267, 8626, 27274, 3872, 563, 29019, 581, 2838, 2542, 693, 519, 10026, 1153, 1377, 267, 4352, 621, 568, 513, 1433, 585, 782, 6502, 269, 3367, 811, 454, 10454, 10966, 7040, 257, 2488, 2123, 1350, 31663, 525, 540, 519, 1686, 540, 519, 7040, 607, 10268, 538, 15180, 1845, 1282, 930, 540, 519, 1034, 2629, 5712, 540, 938, 1686, 269, 3367, 811, 13775, 593, 4864, 476, 273, 267, 476, 1001, 272, 676, 6276, 11829, 523, 454, 1607, 1433, 568, 811, 899, 476, 275, 9910, 2835, 538, 835, 269, 898, 6257, 538, 1469, 2185, 1114, 3140, 5712, 538, 519, 10966, 7040, 543, 875, 20849, 5784, 1851, 621, 781, 476, 280, 2818, 723, 8032, 1862, 3367, 811, 13775, 593, 5147, 476, 1321, 267, 476, 1001, 271, 676, 8381, 568, 6153, 454, 2467, 568, 711, 2614, 1857, 4901, 827, 519, 2956, 540, 519, 8549, 7225, 26547, 543, 267, 538, 1880, 267, 519, 2629, 1909, 602, 519, 10966, 7040, 4249, 538, 3384, 519, 2418, 649, 1862, 3367, 811, 13775, 593, 5147, 476, 1015, 267, 476, 1001, 271, 676, 15168, 731, 667, 269, 5487, 684, 599, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 594, 874, 3394, 807, 7324, 570, 4768, 2103, 563, 21296, 14893, 5999, 454, 272, 269, 834, 16978, 571, 9899, 589, 1122, 626, 327, 639, 9310, 5082, 571, 547, 519, 32066, 865, 1352, 3112, 723, 1018, 888, 5416, 264, 32201, 1453, 563, 6262, 264, 589, 1434, 1272, 563, 5560, 264, 3571, 17599, 563, 273, 269, 834, 2704, 6827, 529, 9899, 623, 12742, 3081, 602, 1100, 812, 16858, 547, 5884, 269, 1548, 1281, 646, 2303, 568, 1732, 888, 5416, 264, 1280, 519, 7385, 547, 5884, 563, 6357, 264, 1280, 519, 1126, 1370, 334, 5884, 563, 6262, 264, 1280, 519, 10437, 547, 5884, 563, 5560, 264, 1280, 519, 22063, 547, 5884, 563, 274, 269, 834, 16978, 571, 9899, 5082, 571, 1281, 711, 5431, 1200, 7015, 543, 1010, 3659, 693, 1101, 269, 1548, 1281, 1352, 1589, 789, 616, 888, 275, 269, 834, 295, 2089, 8432, 339, 639, 9899, 5808, 6645, 1912, 320, 539, 571, 602, 6180, 1023, 3112, 1852, 519, 786, 540, 519, 10971, 888, 5416, 264, 4173, 22700, 563, 6357, 264, 4173, 3434, 563, 6262, 264, 4173, 1688, 2742, 16582, 563, 5560, 264, 4173, 12016, 563, 276, 269, 834, 2704, 6827, 529, 9899, 1520, 5471, 639, 781, 7385, 3081, 1352, 568, 12955, 1317, 621, 568, 1200, 2067, 10279, 543, 585, 1776, 2601, 269, 3849, 5471, 639, 781, 1548, 568, 621, 888, 5416, 264, 2701, 1281, 711, 1616, 547, 2661, 15042, 563, 6357, 264, 2701, 1281, 711, 1616, 1200, 9393, 547, 5884, 563, 6262, 264, 2701, 1281, 711, 1616, 519, 10806, 547, 7985, 563, 5560, 264, 2701, 1281, 711, 1616, 1200, 1453, 547, 979, 4651, 1652, 563, 14112, 8382, 5999, 454, 272, 269, 834, 307, 549, 13568, 6468, 9899, 1879, 1281, 519, 4622, 2161, 646, 786, 6146, 24796, 888, 273, 269, 834, 307, 549, 13568, 6468, 9899, 634, 15831, 814, 4956, 547, 4323, 1200, 5449, 16167, 267, 519, 16380, 267, 1317, 789, 723, 2944, 5208, 547, 7247, 888, 274, 269, 834, 307, 549, 13568, 6468, 9899, 1215, 798, 519, 16380, 6146, 1656, 668, 5995, 781, 5067, 888, 275, 269, 834, 296, 517, 9899, 5808, 6645, 11511, 25901, 602, 1352, 786, 2760, 723, 513, 1126, 609, 2473, 3578, 639, 888, 276, 269, 834, 307, 549, 13568, 6468, 9899, 6969, 519, 16380, 1491, 1200, 547, 7247, 568, 18706, 18588, 568, 513, 22700, 888, 1607, 3296, 3568, 476, 30116, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 3848, 476, 275, 563, 21296, 14893, 5999, 454, 272, 269, 3627, 2372, 1550, 344, 17566, 729, 513, 27737, 689, 1018, 1533, 888, 5560, 264, 1715, 3840, 563, 273, 269, 4208, 729, 28732, 711, 536, 6139, 1042, 676, 1018, 1082, 1131, 2015, 607, 536, 1026, 525, 888, 5416, 264, 1261, 2760, 1577, 602, 4755, 547, 1864, 563, 6357, 264, 634, 5837, 2243, 540, 16561, 2724, 543, 13344, 585, 28732, 729, 711, 606, 3390, 585, 1864, 563, 6262, 264, 1261, 5433, 646, 729, 13886, 547, 3063, 2640, 585, 1010, 3028, 547, 519, 5742, 563, 5560, 264, 1261, 7608, 2724, 543, 13344, 855, 2141, 1705, 1152, 1018, 646, 2219, 729, 1318, 563, 274, 269, 769, 19220, 540, 3627, 2372, 1550, 344, 17566, 262, 9355, 543, 2797, 10100, 267, 1018, 1272, 17489, 991, 1705, 646, 723, 888, 5416, 264, 1133, 342, 26205, 8560, 1851, 519, 1004, 563, 6357, 264, 589, 2123, 19539, 865, 646, 729, 711, 8200, 593, 519, 17037, 563, 6262, 264, 634, 13170, 540, 1010, 4651, 543, 3993, 563, 5560, 264, 634, 7298, 24134, 540, 2696, 563, 275, 269, 4208, 729, 28732, 513, 6205, 538, 519, 3345, 1991, 547, 519, 6406, 2782, 888, 5416, 264, 1261, 6785, 782, 519, 1913, 538, 519, 8675, 563, 6357, 264, 1261, 1223, 856, 2911, 1010, 17837, 563, 6262, 264, 1261, 1185, 2178, 5784, 1996, 8474, 563, 5560, 264, 1261, 729, 4587, 982, 1022, 824, 22267, 563, 276, 269, 17394, 12034, 607, 513, 8467, 538, 3627, 2372, 1550, 344, 17566, 606, 3929, 13613, 547, 7247, 888, 5416, 264, 3571, 3909, 7249, 2958, 1049, 2818, 563, 6357, 264, 3571, 3237, 543, 2696, 563, 6262, 264, 3571, 7385, 543, 1010, 5134, 816, 563, 5560, 264, 3571, 2852, 2828, 543, 20485, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 6205, 945, 729, 693, 12918, 609, 17566, 262, 4651, 1705, 3627, 2372, 1550, 344, 1265, 5128, 3858, 532, 609, 3833, 1419, 888, 273, 269, 1548, 3390, 3361, 28564, 517, 6368, 547, 2253, 9561, 8560, 538, 16713, 888, 274, 269, 1548, 568, 1776, 2352, 3510, 585, 606, 11221, 4013, 16310, 519, 4690, 540, 519, 4182, 543, 1346, 540, 519, 14218, 1890, 888, 275, 269, 1548, 798, 519, 1641, 540, 11550, 293, 6579, 2464, 5442, 2910, 308, 6938, 12283, 782, 723, 538, 1455, 888, 276, 269, 1548, 729, 865, 9490, 827, 8361, 22110, 781, 21821, 532, 28732, 538, 1010, 2014, 585, 14207, 888, 1607, 3296, 3568, 476, 4375, 272, 1913, 454, 26140, 269, 476, 273, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 8855, 3106, 1310, 519, 14812, 454, 13775, 281, 13638, 267, 5130, 476, 272, 267, 476, 1220, 279, 693, 476, 277, 281, 4905, 513, 6230, 563, 8310, 3525, 1881, 281, 11728, 267, 5412, 476, 4029, 267, 476, 1220, 278, 693, 476, 1556, 281, 876, 533, 6230, 563, 3086, 602, 8285, 568, 936, 267, 1810, 1405, 7340, 827, 3595, 3106, 15416, 950, 2921, 1524, 519, 23598, 267, 717, 6758, 6577, 13930, 3595, 22153, 531, 26778, 13669, 2023, 1767, 563, 257, 5629, 4054, 3819, 856, 267, 789, 616, 1454, 811, 5906, 2437, 646, 1767, 563, 10666, 476, 1724, 2600, 540, 519, 1753, 11642, 11911, 547, 8285, 4054, 723, 7018, 538, 5130, 267, 2687, 547, 519, 2817, 9605, 10466, 5948, 563, 13731, 5733, 4054, 910, 1483, 610, 5841, 910, 666, 581, 513, 1713, 4492, 2707, 952, 513, 3595, 4386, 538, 513, 1753, 269, 4634, 513, 1134, 2914, 23926, 3529, 1058, 581, 3144, 1524, 1310, 2185, 4374, 269, 1403, 513, 3529, 729, 21243, 1318, 1310, 21175, 267, 621, 1058, 581, 23987, 519, 3018, 1310, 8285, 563, 5194, 3106, 3390, 609, 8285, 23598, 568, 519, 946, 540, 10137, 27871, 267, 13669, 2023, 1767, 563, 763, 20522, 6960, 27871, 1034, 1004, 946, 585, 8285, 8279, 543, 23598, 616, 2966, 585, 2582, 6066, 3096, 269, 1358, 616, 711, 2966, 547, 4163, 513, 1804, 1699, 540, 5201, 782, 998, 519, 1032, 267, 13669, 2023, 1767, 563, 290, 663, 956, 2356, 616, 2442, 8285, 13344, 267, 543, 513, 2603, 540, 1004, 6633, 22250, 585, 519, 5605, 4800, 1282, 519, 14812, 563, 3719, 519, 1930, 18723, 540, 513, 23156, 568, 835, 540, 519, 7887, 12178, 585, 2777, 11642, 267, 13669, 2023, 1767, 269, 1261, 5267, 1210, 3167, 23156, 3636, 619, 3079, 563, 29804, 6118, 8279, 616, 2808, 12119, 543, 1058, 711, 581, 909, 3476, 982, 476, 3445, 2395, 267, 8387, 609, 519, 7201, 32392, 8534, 14898, 1767, 269, 5463, 32590, 2451, 856, 3476, 982, 602, 786, 581, 811, 12155, 547, 3441, 267, 799, 1223, 2014, 5122, 8710, 610, 3595, 9651, 269, 1280, 811, 1344, 3823, 9702, 7718, 908, 3106, 267, 3643, 8940, 269, 592, 2593, 543, 8940, 8542, 325, 11985, 3820, 563, 5649, 518, 8292, 11540, 547, 713, 2376, 949, 581, 3370, 538, 938, 1820, 7160, 269, 2353, 2924, 11603, 269, 901, 10677, 539, 1570, 949, 711, 581, 556, 1790, 21242, 1510, 10479, 269, 25103, 616, 9415, 563, 4467, 906, 616, 4867, 28998, 593, 713, 2376, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2789, 3903, 2055, 267, 476, 276, 2110, 2626, 2055, 267, 543, 476, 1015, 2110, 1557, 2055, 563, 21296, 14893, 5999, 454, 272, 269, 1215, 1082, 7980, 12446, 547, 13720, 570, 3711, 14766, 12578, 888, 273, 269, 570, 3711, 14766, 12578, 568, 15034, 540, 1373, 513, 912, 6262, 264, 10513, 812, 563, 274, 269, 1548, 1281, 570, 3711, 14766, 12578, 1544, 547, 4159, 547, 23666, 519, 14655, 7980, 888, 5416, 264, 7089, 540, 11439, 7980, 563, 5560, 264, 11135, 24915, 563, 275, 269, 5808, 28279, 570, 3711, 14766, 12578, 602, 646, 786, 581, 8572, 547, 11886, 1010, 5692, 888, 276, 269, 24789, 665, 3433, 568, 5143, 602, 570, 3711, 14766, 12578, 14659, 1152, 540, 912, 14112, 8382, 5999, 454, 272, 269, 1677, 7247, 1281, 590, 580, 1143, 1495, 7281, 888, 273, 269, 634, 4622, 8942, 547, 21907, 609, 570, 3711, 14766, 12578, 593, 1018, 6221, 888, 274, 269, 1548, 568, 519, 2012, 540, 645, 1690, 1794, 996, 781, 7385, 888, 275, 269, 6904, 540, 519, 561, 3581, 14753, 856, 1996, 570, 3711, 14766, 12578, 888, 276, 269, 5808, 9060, 519, 6221, 888, 14112, 4828, 5999, 454, 272, 269, 1548, 568, 11910, 777, 710, 781, 1544, 952, 646, 568, 3811, 538, 29400, 689, 570, 3711, 14766, 12578, 781, 21569, 888, 273, 269, 10493, 807, 19754, 1200, 5067, 543, 8942, 547, 6146, 9887, 547, 4688, 689, 1373, 12475, 3293, 269, 4208, 568, 10493, 807, 711, 4847, 547, 5884, 888, 274, 269, 1548, 568, 519, 5114, 540, 519, 29001, 950, 570, 3711, 14766, 12578, 3081, 646, 666, 2611, 538, 519, 10424, 5480, 607, 513, 1036, 550, 888, 275, 269, 4208, 1281, 1325, 4364, 320, 20549, 11910, 777, 710, 781, 2709, 540, 513, 10806, 888, 276, 269, 1548, 1281, 570, 3711, 14766, 12578, 1611, 950, 646, 6811, 602, 16398, 1611, 4986, 286, 1215, 1281, 646, 6961, 621, 888, 277, 269, 1548, 568, 513, 1129, 540, 4222, 2687, 547, 645, 1690, 1794, 996, 286, 1548, 8992, 2098, 629, 2088, 781, 4502, 888, 278, 269, 1215, 1281, 570, 3711, 14766, 12578, 1451, 827, 519, 4087, 540, 519, 6456, 14951, 519, 17135, 814, 6035, 607, 513, 536, 11171, 888, 279, 269, 4208, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17183, 1858, 543, 4320, 540, 513, 12718, 692, 27023, 626, 454, 27745, 513, 20131, 5225, 2638, 1250, 960, 2496, 23896, 1384, 1432, 568, 519, 2627, 1858, 543, 4320, 540, 513, 2604, 6077, 538, 519, 1106, 540, 513, 12718, 609, 1142, 1439, 538, 519, 1106, 540, 513, 21571, 267, 952, 519, 2949, 3259, 568, 476, 1321, 7397, 543, 519, 8006, 568, 476, 274, 7397, 780, 338, 1828, 1384, 326, 1508, 912, 323, 3554, 2678, 815, 476, 274, 332, 454, 19417, 610, 3259, 815, 476, 1321, 332, 454, 7032, 284, 274, 269, 1691, 692, 2411, 13430, 13707, 2627, 1858, 540, 513, 12718, 815, 476, 273, 265, 7032, 265, 337, 265, 327, 1341, 476, 273, 265, 7032, 265, 337, 317, 273, 692, 4811, 288, 815, 476, 273, 265, 274, 269, 1691, 265, 272, 269, 276, 265, 1321, 1341, 476, 273, 265, 274, 269, 1691, 265, 272, 269, 276, 317, 273, 454, 284, 476, 13647, 269, 6860, 544, 317, 273, 1341, 476, 1691, 269, 1724, 544, 317, 273, 454, 284, 476, 14096, 269, 1704, 544, 317, 273, 692, 24127, 540, 513, 12718, 815, 14039, 265, 678, 317, 273, 265, 327, 692, 309, 284, 476, 274, 269, 1691, 265, 272, 269, 276, 317, 273, 265, 1321, 454, 284, 476, 10019, 269, 279, 544, 317, 274, 692, 3674, 713, 2953, 2496, 2971, 5900, 778, 906, 692, 1892, 15245, 3052, 604, 454, 277, 269, 274, 22995, 5788, 14358, 281, 476, 3199, 278, 692, 29094, 4477, 704, 454, 14454, 3259, 568, 476, 1321, 332, 267, 543, 602, 2882, 519, 1079, 2234, 4512, 540, 519, 8280, 7371, 8879, 7475, 269, 1924, 1946, 616, 596, 14322, 602, 519, 519, 4463, 540, 519, 20425, 6712, 568, 476, 1321, 332, 2496, 13553, 1966, 2433, 519, 2627, 1858, 540, 519, 1843, 568, 519, 2627, 1858, 540, 519, 2608, 13665, 265, 540, 519, 20425, 6712, 2608, 15200, 265, 519, 5916, 2627, 2127, 540, 519, 1079, 8280, 7371, 17202, 13980, 269, 1411, 1058, 711, 1331, 519, 2127, 540, 519, 25923, 602, 1118, 909, 513, 6806, 12718, 630, 3697, 596, 1705, 1040, 1656, 596, 1705, 711, 2015, 519, 590, 6993, 269, 540, 519, 8280, 7371, 17202, 7475, 693, 782, 780, 23612, 1966, 2433, 4320, 540, 519, 12718, 568, 6157, 2953, 267, 855, 1018, 827, 12531, 540, 519, 8280, 7371, 17202, 7475, 2496, 27023, 626, 454, 2414, 281, 30985, 27183, 272, 692, 763, 4463, 540, 519, 12718, 568, 476, 1321, 7397, 1164, 269, 634, 3259, 543, 519, 4463, 616, 519, 1482, 3364, 269, 5637, 616, 476, 1321, 7397, 780, 763, 4320, 540, 519, 8280, 7371, 17202, 7475, 815, 476, 273, 265, 7032, 265, 337, 317, 274, 1315, 476, 274, 563, 309, 284, 273, 265, 274, 269, 1691, 265, 272, 269, 276, 317, 274, 1315, 476, 274, 454, 284, 476, 2641, 269, 4198, 1315, 476, 274, 454, 284, 476, 278, 269, 271, 4792, 544, 317, 274, 693, 1142, 1439, 780, 763, 2698, 2627, 1858, 540, 519, 8280, 7371, 17202, 7475, 815, 476, 275, 265, 7032, 265, 337, 317, 273, 1315, 476, 273, 454, 4811, 288, 815, 476, 275, 265, 274, 269, 1691, 265, 272, 269, 276, 317, 273, 1315, 476, 273, 454, 284, 476, 2764, 269, 2918, 1315, 476, 273, 454, 284, 476, 1691, 269, 1724, 544, 317, 273, 585, 1312, 7475, 780, 338, 16577, 1858, 540, 513, 12718, 815, 476, 273, 265, 7032, 265, 337, 265, 327, 1341, 476, 273, 265, 7032, 265, 337, 317, 273, 454, 6347, 815, 476, 273, 265, 274, 269, 1691, 265, 272, 269, 276, 265, 1321, 1341, 476, 273, 265, 274, 269, 1691, 265, 272, 269, 276, 317, 273, 454, 284, 476, 13647, 269, 6860, 544, 317, 273, 1341, 476, 1691, 269, 1724, 544, 317, 273, 454, 284, 476, 14096, 269, 1704, 544, 317, 273, 692, 14096, 269, 1704, 544, 317, 273, 910, 476, 1691, 269, 1724, 544, 317, 273, 815, 476, 13647, 269, 272, 544, 317, 273, 2698, 2627, 1858, 540, 519, 12718, 780, 4692, 596, 2638, 1250, 960, 1586, 888, 5804, 2676, 27023, 626, 692, 29094, 4477, 704, 454, 1103, 707, 1101, 2022, 596, 1767, 834, 1492, 2949, 3259, 568, 476, 1321, 7397, 257, 799, 1131, 1331, 519, 1079, 8280, 7371, 12742, 269, 3767, 596, 2161, 834, 763, 4463, 540, 519, 12718, 568, 476, 1321, 7397, 257, 799, 1281, 711, 1331, 519, 1079, 8280, 7371, 12742, 780, 7617, 568, 621, 2496, 3963, 798, 596, 1608, 743, 3634, 519, 4320, 540, 835, 21571, 607, 4399, 2765, 346, 273, 2410, 274, 4153, 7032, 678, 317, 274, 8961, 1287, 2490, 1472, 513, 5173, 519, 4320, 540, 1312, 607, 4399, 2765, 346, 275, 2410, 274, 4153, 7032, 678, 317, 274, 259, 286, 1358, 616, 1312, 2953, 855, 596, 1810, 1405, 946, 519, 1101, 835, 2439, 10501, 1190, 27183, 272, 5143, 596, 10691, 547, 1331, 519, 616, 540, 519, 7475, 540, 519, 12718, 268, 602, 568, 711, 851, 540, 519, 2627, 1858, 540, 519, 2604, 6077, 269, 1924, 596, 1331, 621, 543, 1287, 10208, 621, 1055, 11631, 630, 2005, 781, 4277, 602, 596, 1205, 476, 274, 269, 6860, 585, 519, 14694, 1858, 540, 519, 12718, 267, 1039, 519, 1858, 540, 519, 1079, 1439, 10580, 267, 1287, 5612, 10208, 1055, 602, 1858, 543, 1205, 606, 2626, 540, 476, 274, 269, 272, 256, 2020, 17764, 267, 543, 596, 2760, 798, 5173, 519, 2898, 2627, 1858, 540, 519, 6077, 780, 763, 2629, 1448, 568, 2436, 519, 2949, 3259, 568, 476, 1321, 544, 610, 1152, 519, 3259, 540, 519, 12718, 269, 22549, 1018, 1281, 707, 1966, 2161, 2496, 27023, 626, 454, 302, 330, 267, 1577, 781, 1205, 519, 4463, 2786, 2989, 856, 1101, 269, 8065, 810, 325, 296, 11803, 4280, 912, 763, 2629, 1448, 568, 2436, 519, 2949, 3259, 568, 476, 1321, 544, 610, 1152, 519, 3259, 540, 519, 12718, 269, 22549, 1018, 1281, 707, 1966, 2161, 286, 634, 1966, 538, 1250, 1433, 3081, 519, 2949, 3259, 568, 476, 1321, 7397, 269, 1924, 972, 568, 1152, 835, 1297, 2451, 585, 519, 4463, 269, 1656, 602, 568, 476, 274, 7397, 267, 585, 519, 4463, 780, 27023, 626, 692, 27023, 626, 454, 309, 5357, 9331, 292, 1384, 14179, 2541, 540, 519, 7475, 815, 476, 275, 265, 274, 269, 1691, 265, 337, 317, 274, 1315, 476, 274, 815, 476, 275, 265, 274, 269, 1691, 265, 272, 269, 276, 544, 317, 274, 1315, 476, 274, 815, 476, 1691, 269, 1724, 544, 317, 274, 454, 1691, 269, 1724, 332, 317, 274, 1315, 476, 273, 815, 476, 278, 269, 271, 4792, 544, 317, 274, 693, 1142, 1439, 780, 14179, 2541, 540, 12718, 815, 476, 274, 269, 1691, 265, 337, 317, 273, 265, 327, 815, 476, 274, 269, 1691, 265, 272, 269, 276, 317, 273, 265, 1321, 332, 815, 476, 10019, 269, 4281, 332, 317, 274, 692, 14179, 2541, 2698, 815, 476, 10019, 269, 4281, 332, 317, 274, 910, 476, 278, 269, 271, 4792, 332, 317, 274, 815, 476, 6507, 269, 278, 1428, 332, 317, 274, 692, 14343, 7042, 306, 7838, 293, 19781, 25758, 288, 1384, 338, 16577, 1858, 540, 519, 7475, 815, 476, 275, 265, 274, 269, 1691, 265, 272, 269, 276, 332, 317, 273, 815, 476, 2764, 269, 2918, 332, 317, 273, 1315, 476, 273, 815, 476, 1691, 269, 1724, 332, 317, 273, 693, 1142, 1439, 780, 338, 16577, 1858, 540, 519, 12718, 815, 476, 273, 265, 274, 269, 1691, 265, 337, 317, 273, 1341, 476, 273, 265, 274, 269, 1691, 265, 337, 265, 299, 815, 476, 273, 265, 274, 269, 1691, 265, 272, 269, 276, 332, 317, 273, 1341, 476, 273, 265, 274, 269, 1691, 265, 272, 269, 276, 332, 265, 1321, 332, 815, 476, 14096, 269, 1704, 332, 317, 273, 692, 338, 16577, 1858, 2698, 815, 476, 14096, 269, 1704, 544, 317, 273, 910, 476, 1691, 269, 1724, 544, 317, 273, 815, 476, 13647, 269, 6860, 544, 317, 273, 692, 29094, 4477, 704, 454, 302, 330, 267, 1577, 781, 1205, 519, 4463, 2786, 2989, 856, 1101, 269, 8065, 810, 325, 296, 11803, 4280, 912, 763, 2629, 1448, 568, 2436, 519, 2949, 3259, 568, 476, 1321, 544, 610, 1152, 519, 3259, 540, 519, 12718, 269, 22549, 1018, 1281, 707, 1966, 2161, 286, 634, 1966, 538, 1250, 1433, 3081, 519, 2949, 3259, 568, 476, 1321, 7397, 269, 1924, 972, 568, 1152, 835, 1297, 2451, 585, 519, 4463, 269, 1656, 602, 568, 476, 274, 7397, 267, 585, 519, 4463, 780, 27023, 626, 454, 2690, 519, 4463, 540, 1018, 286, 634, 8280, 7371, 12742, 723, 8006, 476, 274, 544, 865, 519, 1079, 540, 873, 1039, 476, 274, 544, 547, 519, 2949, 3259, 269, 634, 3259, 540, 519, 12718, 568, 476, 1321, 268, 476, 274, 284, 476, 280, 7397, 563, 309, 5357, 9331, 292, 1384, 14179, 2541, 540, 519, 7475, 815, 476, 275, 265, 274, 269, 1691, 265, 337, 317, 274, 1315, 476, 274, 815, 476, 275, 265, 274, 269, 1691, 265, 272, 269, 276, 544, 317, 274, 1315, 476, 274, 815, 476, 1691, 269, 1724, 544, 317, 274, 454, 1691, 269, 1724, 332, 317, 274, 1315, 476, 273, 815, 476, 278, 269, 271, 4792, 544, 317, 274, 693, 1142, 1439, 563, 8133, 267, 602, 568, 2953, 269, 630, 2750, 1061, 602, 621, 568, 711, 834, 520, 1142, 1439, 27324, 602, 568, 519, 2698, 4320, 540, 1312, 7475, 24355, 14179, 2541, 540, 12718, 815, 476, 274, 269, 1691, 265, 337, 317, 273, 265, 327, 815, 476, 274, 269, 1691, 265, 272, 269, 276, 317, 273, 265, 1321, 332, 815, 476, 10019, 269, 4281, 332, 317, 274, 454, 17472, 256, 2094, 519, 834, 1478, 718, 3259, 257, 568, 476, 1321, 544, 543, 519, 8280, 7371, 12742, 2272, 585, 476, 274, 544, 540, 602, 267, 519, 3259, 540, 519, 12718, 568, 476, 280, 544, 267, 711, 476, 1321, 256, 2334, 781, 1018, 649, 4312, 1044, 3843, 547, 2995, 596, 782, 2059, 2439, 14179, 2541, 2698, 815, 476, 10019, 269, 4281, 332, 317, 274, 910, 476, 278, 269, 271, 4792, 332, 317, 274, 815, 476, 6507, 269, 278, 1428, 332, 317, 274, 692, 14343, 7042, 306, 7838, 293, 19781, 25758, 288, 1384, 338, 16577, 1858, 540, 519, 7475, 815, 476, 275, 265, 274, 269, 1691, 265, 272, 269, 276, 332, 317, 273, 815, 476, 2764, 269, 2918, 332, 317, 273, 1315, 476, 273, 815, 476, 1691, 269, 1724, 332, 317, 273, 693, 1142, 1439, 563, 11039, 267, 711, 693, 834, 26421, 1439, 27324, 602, 781, 519, 2698, 1858, 540, 1312, 7475, 780, 338, 16577, 1858, 540, 519, 12718, 815, 476, 273, 265, 274, 269, 1691, 265, 337, 317, 273, 1341, 476, 273, 265, 274, 269, 1691, 265, 337, 265, 299, 815, 476, 273, 265, 274, 269, 1691, 265, 272, 269, 276, 332, 317, 273, 1341, 476, 273, 265, 274, 269, 1691, 265, 272, 269, 276, 332, 265, 1321, 332, 815, 476, 14096, 269, 1704, 332, 317, 273, 454, 3080, 811, 942, 543, 1287, 594, 2285, 909, 256, 634, 7475, 540, 519, 12718, 616, 10691, 851, 540, 519, 2627, 268, 789, 3565, 12971, 2627, 1858, 256, 7937, 267, 543, 519, 3259, 540, 519, 12718, 568, 476, 280, 544, 267, 711, 476, 1321, 544, 780, 338, 16577, 1858, 2698, 815, 476, 14096, 269, 1704, 544, 317, 273, 910, 476, 1691, 269, 1724, 544, 317, 273, 815, 476, 13647, 269, 6860, 544, 317, 273, 454, 3963, 538, 519, 1158, 616, 596, 18946, 519, 2627, 1858, 540, 519, 8280, 7371, 12742, 2496, 27023, 626, 454, 10498, 267, 519, 3259, 568, 476, 280, 332, 10691, 476, 1321, 332, 269, 594, 1174, 602, 1631, 269, 594, 723, 811, 540, 891, 1826, 540, 2055, 269, 594, 786, 2259, 269, 0, 30022, 14581, 6435, 692, 258, 6496, 586, 284, 274, 343, 268, 273, 723, 513, 9386, 9811, 610, 1100, 286, 2340, 504, 495, 25035, 692, 2421, 795, 5282, 1029, 558, 326, 2807, 1862, 693, 4728, 476, 4905, 267, 476, 1001, 271, 692, 7312, 3830, 568, 2016, 538, 519, 9386, 25435, 1109, 845, 586, 815, 544, 343, 1341, 536, 267, 1141, 544, 568, 519, 9386, 543, 536, 568, 519, 586, 25435, 269, 18391, 693, 707, 3830, 267, 594, 666, 3533, 1294, 602, 519, 9386, 568, 476, 274, 269, 1109, 1684, 596, 1294, 621, 286, 634, 9386, 538, 971, 4834, 786, 2141, 581, 519, 1297, 1985, 547, 1535, 269, 1109, 13760, 286, 562, 26338, 10818, 287, 344, 1695, 5622, 2593, 10842, 334, 692, 4118, 7666, 344, 4728, 476, 4905, 267, 476, 1001, 271, 692, 13433, 621, 1281, 269, 476, 274, 568, 519, 9386, 269, 952, 519, 1966, 729, 586, 24210, 268, 273, 267, 1287, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31095, 519, 3114, 4542, 585, 676, 1210, 9197, 1170, 4429, 28775, 621, 786, 948, 596, 3503, 519, 3114, 4542, 585, 676, 1210, 9197, 1170, 3444, 1505, 269, 13058, 24277, 267, 7513, 19941, 267, 26459, 28355, 267, 16139, 1756, 28355, 29679, 559, 591, 24277, 267, 7601, 19941, 267, 11379, 12547, 267, 4401, 267, 20962, 622, 563, 31367, 1234, 13905, 543, 12307, 4147, 476, 1015, 23448, 5999, 454, 12914, 476, 1428, 267, 5788, 630, 4512, 264, 1325, 6058, 1756, 4496, 30283, 4401, 689, 7542, 878, 12547, 267, 3171, 476, 273, 744, 476, 274, 267, 4758, 26459, 12547, 543, 4401, 269, 630, 13839, 264, 12539, 771, 17139, 728, 17236, 538, 2011, 547, 2285, 3327, 8166, 543, 20962, 584, 8166, 269, 630, 643, 264, 645, 10740, 17296, 23465, 609, 13058, 20962, 622, 547, 2285, 13058, 17296, 543, 536, 10740, 20962, 622, 269, 8382, 281, 630, 328, 264, 623, 476, 275, 1341, 476, 276, 302, 476, 273, 9890, 476, 273, 303, 476, 273, 744, 476, 276, 630, 4512, 264, 476, 273, 2704, 1341, 3171, 476, 273, 744, 476, 274, 9890, 3642, 476, 273, 744, 476, 274, 1341, 476, 273, 8722, 454, 2975, 10345, 11061, 7726, 7433, 3267, 910, 19954, 20548, 541, 19789, 10298, 454, 20225, 476, 2190, 267, 5788, 21418, 16139, 1756, 28355, 3070, 568, 3773, 547, 1291, 24277, 3070, 269, 645, 668, 710, 22643, 2293, 616, 5293, 883, 513, 3070, 540, 2802, 344, 928, 538, 3327, 25543, 18608, 728, 269, 589, 13058, 11491, 2544, 568, 3773, 547, 7601, 20962, 622, 3070, 269, 2098, 4532, 24277, 14848, 616, 9244, 12699, 269, 31406, 28355, 3070, 568, 3773, 547, 7542, 878, 17296, 3070, 693, 1101, 513, 2370, 543, 1287, 538, 4430, 269, 3097, 2419, 476, 272, 11906, 1234, 13905, 543, 12307, 19436, 1401, 6374, 541, 454, 22261, 476, 2190, 267, 5788, 630, 320, 264, 26457, 924, 5114, 267, 4401, 630, 7656, 264, 12547, 23465, 609, 26459, 543, 3947, 25183, 4401, 543, 26459, 12547, 269, 1496, 290, 18778, 9948, 630, 321, 264, 13804, 10901, 26781, 568, 26151, 538, 606, 5790, 540, 9436, 3154, 547, 1106, 4396, 13101, 6491, 20183, 269, 630, 322, 264, 25914, 710, 3154, 568, 5293, 538, 606, 25694, 11379, 19381, 728, 3070, 547, 1106, 11379, 17296, 3070, 543, 4396, 22752, 563, 30555, 5999, 585, 4147, 476, 1015, 3163, 281, 932, 476, 274, 5450, 1023, 543, 6348, 5336, 564, 1023, 454, 21801, 476, 1240, 267, 5788, 476, 6246, 269, 589, 2875, 8591, 835, 2462, 4401, 17970, 1142, 538, 2185, 1449, 13740, 5627, 3070, 540, 13058, 20962, 622, 267, 26459, 20962, 622, 267, 7601, 20962, 622, 543, 4401, 20962, 622, 269, 589, 26070, 6960, 15098, 729, 4767, 1152, 593, 519, 2627, 540, 4401, 17970, 799, 729, 3773, 538, 519, 3070, 540, 912, 1692, 1677, 17179, 1325, 6058, 1756, 7621, 728, 3245, 634, 8827, 2986, 2098, 4532, 454, 1692, 547, 5965, 13058, 20962, 622, 6070, 286, 910, 23968, 5622, 12226, 269, 30052, 519, 1655, 1259, 568, 547, 2746, 606, 4430, 540, 31626, 4496, 609, 670, 273, 12569, 275, 543, 1287, 6882, 856, 519, 4396, 13058, 543, 18493, 622, 519, 3070, 547, 3819, 1145, 563, 12218, 476, 279, 281, 12389, 3163, 281, 19045, 543, 6348, 19045, 454, 278, 269, 16393, 596, 4558, 476, 4335, 16720, 2098, 4532, 20962, 622, 3070, 538, 606, 11956, 6077, 16074, 286, 12315, 2601, 585, 707, 2626, 269, 5775, 281, 1325, 6058, 1756, 568, 811, 19535, 982, 13058, 4061, 771, 2897, 13058, 689, 2098, 4532, 20962, 622, 3070, 543, 1106, 6070, 609, 4720, 540, 7250, 3154, 269, 901, 568, 1946, 649, 798, 711, 4558, 2098, 4532, 20962, 622, 3070, 538, 606, 11956, 6077, 16074, 269, 476, 279, 563, 290, 4047, 300, 13965, 11555, 3722, 16739, 6730, 661, 12702, 25972, 454, 13971, 476, 6349, 267, 5788, 1879, 3070, 540, 536, 10740, 17296, 23465, 609, 519, 3070, 540, 9770, 20962, 622, 267, 3043, 10511, 10028, 540, 536, 10740, 20962, 622, 568, 4646, 2059, 609, 9770, 17296, 269, 13391, 5141, 273, 1341, 10878, 273, 12569, 275, 9890, 13391, 12569, 275, 1341, 476, 273, 27845, 5141, 1879, 9770, 28355, 630, 320, 3490, 264, 23465, 609, 8652, 18608, 545, 3679, 267, 9770, 17296, 543, 1216, 616, 4646, 563, 1692, 1677, 17179, 2098, 4532, 2552, 8727, 689, 19162, 601, 590, 17139, 622, 454, 2171, 723, 19162, 601, 590, 17139, 622, 14848, 855, 519, 1966, 568, 602, 789, 2270, 2098, 4532, 849, 269, 11184, 267, 649, 2154, 547, 4894, 713, 13058, 5057, 689, 19162, 601, 20962, 622, 5082, 26299, 21154, 610, 676, 2776, 27457, 2787, 1505, 269, 634, 20487, 585, 19162, 601, 590, 17139, 622, 14848, 568, 281, 15281, 268, 866, 269, 277, 260, 31626, 268, 272, 269, 276, 260, 3171, 268, 271, 269, 4962, 260, 9877, 569, 2303, 519, 1184, 3877, 865, 607, 547, 4990, 856, 938, 1966, 563, 1692, 666, 13058, 20962, 622, 6070, 581, 5423, 286, 910, 2372, 7702, 454, 763, 14724, 1259, 1131, 581, 547, 23271, 13058, 12547, 538, 20962, 584, 545, 3679, 269, 2098, 4532, 12547, 1341, 20962, 584, 545, 3679, 9890, 13058, 20962, 622, 1341, 1216, 269, 5901, 593, 4946, 2394, 1100, 811, 13058, 12547, 786, 23271, 267, 596, 949, 991, 547, 9900, 3002, 519, 3070, 269, 1879, 1100, 811, 786, 23271, 621, 786, 581, 513, 15459, 3070, 269, 4635, 6882, 1957, 543, 513, 6882, 1187, 6773, 267, 6882, 519, 3070, 547, 4894, 1022, 796, 3146, 716, 539, 13058, 12547, 563, 303, 20094, 1107, 1234, 9346, 11906, 338, 454, 301, 1157, 601, 590, 17139, 622, 476, 2537, 260, 2098, 4532, 25914, 924, 8827, 476, 1839, 260, 2098, 4532, 21193, 3433, 8827, 476, 2004, 260, 2098, 4532, 1912, 24043, 8827, 476, 2004, 10065, 674, 296, 3918, 16658, 295, 16249, 595, 4047, 300, 13965, 306, 269, 19200, 5025, 13697, 293, 476, 274, 9943, 277, 260, 674, 27961, 24517, 3433, 1325, 6058, 1756, 590, 17139, 622, 8827, 476, 1015, 260, 1107, 476, 7871, 260, 25289, 25914, 728, 8827, 476, 736, 260, 1107, 476, 2412, 260, 6970, 755, 545, 590, 18649, 8827, 454, 2704, 6058, 1756, 25914, 728, 630, 2704, 5141, 274, 264, 910, 16754, 267, 12856, 267, 1234, 13905, 454, 2691, 519, 2837, 568, 2417, 2799, 547, 827, 476, 6110, 9180, 267, 26459, 12547, 568, 4646, 689, 519, 28355, 269, 476, 273, 2704, 263, 15121, 264, 476, 274, 9890, 1325, 476, 273, 744, 476, 274, 1341, 476, 274, 295, 476, 273, 744, 2290, 3982, 8984, 540, 1325, 5141, 274, 25694, 3435, 568, 602, 789, 616, 25617, 563, 18404, 1023, 543, 6348, 31475, 1023, 4147, 476, 1015, 12830, 5999, 3163, 454, 13971, 476, 6734, 267, 5788, 589, 2603, 540, 1416, 543, 2724, 568, 3238, 538, 741, 5826, 269, 1717, 267, 14809, 540, 26459, 814, 5413, 269, 634, 4496, 5116, 1164, 538, 519, 2534, 3126, 568, 3833, 19535, 269, 898, 10905, 609, 519, 5135, 1459, 538, 2011, 547, 1106, 26459, 12547, 630, 2704, 476, 273, 744, 476, 274, 1040, 7726, 476, 7830, 269, 12315, 4128, 585, 519, 1739, 2433, 2098, 4532, 666, 771, 2897, 7601, 689, 7601, 20962, 622, 3070, 563, 3201, 9331, 2562, 296, 9331, 7537, 300, 2177, 296, 9331, 590, 8085, 15771, 12442, 1923, 590, 7950, 5025, 671, 5341, 454, 345, 4532, 630, 272, 264, 12232, 585, 22312, 269, 7330, 282, 3794, 984, 958, 282, 9338, 9331, 2562, 296, 9331, 7537, 300, 2177, 296, 9331, 590, 8085, 15771, 12442, 269, 11628, 9612, 1923, 12856, 9612, 269, 1325, 6058, 1756, 16139, 1756, 23253, 546, 1712, 8619, 5139, 3433, 269, 476, 272, 8605, 28088, 31527, 18608, 545, 3679, 3070, 267, 25756, 17296, 3070, 454, 2704, 6058, 1756, 590, 17139, 622, 1325, 26891, 590, 5285, 622, 590, 9169, 9049, 9169, 16847, 454, 2704, 6058, 1756, 590, 17139, 622, 1325, 26891, 590, 5285, 622, 590, 9169, 9049, 9169, 16847, 281, 631, 889, 344, 11906, 338, 540, 631, 889, 344, 17057, 6828, 267, 3964, 538, 476, 3192, 277, 267, 568, 519, 3312, 9755, 540, 7981, 1399, 11906, 338, 267, 14997, 11914, 19196, 760, 1304, 267, 32746, 8896, 5253, 1299, 4469, 2948, 6464, 267, 1234, 26047, 6103, 11906, 338, 267, 1744, 1446, 13937, 674, 847, 1005, 11906, 338, 538, 3127, 269, 631, 889, 344, 17057, 6828, 814, 1896, 5663, 6703, 3262, 2066, 454, 290, 3036, 4629, 31064, 19419, 8780, 23814, 5508, 9338, 9331, 2562, 296, 9331, 910, 1230, 1811, 454, 2419, 4435, 12547, 568, 12809, 547, 519, 26459, 12547, 4494, 593, 26459, 269, 769, 1840, 267, 3905, 16702, 27647, 1242, 5374, 31211, 949, 581, 1031, 1312, 1317, 519, 13058, 7620, 14014, 519, 26459, 27647, 1227, 267, 543, 519, 5223, 540, 519, 30021, 547, 519, 14041, 568, 7363, 1970, 269, 1879, 519, 13058, 568, 12816, 2476, 267, 513, 27647, 545, 7008, 3029, 1063, 519, 26459, 543, 519, 5374, 454, 1432, 568, 519, 5114, 1063, 2098, 4532, 7621, 728, 543, 21019, 590, 17139, 622, 888, 17098, 267, 594, 993, 3257, 513, 11061, 7634, 538, 476, 1321, 628, 3446, 543, 835, 540, 519, 3344, 729, 547, 5635, 519, 14809, 540, 513, 3044, 17970, 5288, 513, 27647, 1242, 17970, 538, 476, 272, 300, 21019, 590, 17139, 622, 269, 634, 3044, 17970, 5795, 519, 4397, 1267, 630, 288, 7601, 726, 908, 593, 519, 17970, 543, 519, 3070, 4657, 547, 11635, 590, 17139, 622, 1040, 1717, 267, 519, 8895, 7079, 1242, 17970, 814, 513, 9490, 1267, 269, 898, 15309, 539, 998, 5393, 3533, 563, 4692, 594, 1205, 13058, 12547, 689, 13058, 20962, 622, 543, 9770, 28355, 888, 2005, 729, 1336, 602, 13058, 12547, 607, 513, 18463, 814, 606, 5413, 936, 9770, 28355, 269, 1879, 13058, 12547, 568, 1031, 267, 519, 1965, 614, 2305, 2837, 267, 519, 1648, 4616, 543, 519, 2427, 6547, 666, 581, 454, 299, 12112, 18029, 19453, 11061, 4147, 476, 1015, 10298, 1280, 3848, 476, 274, 454, 6321, 269, 630, 320, 264, 2237, 835, 5114, 538, 799, 26459, 12547, 31136, 607, 513, 2596, 12547, 543, 1776, 538, 799, 621, 31136, 607, 606, 15755, 12547, 269, 630, 321, 264, 1432, 2027, 2012, 568, 2016, 547, 6878, 899, 26459, 12547, 269, 630, 322, 264, 11243, 1776, 4496, 12547, 799, 31136, 899, 26459, 12547, 269, 8827, 281, 630, 320, 264, 1325, 476, 273, 744, 476, 274, 1341, 476, 277, 295, 5141, 9890, 476, 273, 2704, 5141, 476, 274, 1341, 476, 274, 295, 476, 273, 744, 269, 1325, 6058, 1756, 1934, 6411, 607, 2596, 12547, 454, 306, 5085, 2562, 288, 10298, 585, 4147, 476, 1015, 11061, 3848, 476, 274, 910, 3600, 1749, 454, 763, 4430, 540, 13058, 568, 22012, 1055, 269, 11814, 519, 3070, 538, 513, 19580, 8670, 543, 18493, 622, 519, 3070, 547, 1205, 14848, 269, 31207, 267, 11547, 873, 609, 1216, 543, 3819, 873, 1063, 519, 26642, 540, 1957, 269, 634, 3043, 13549, 14848, 616, 540, 19872, 2098, 4532, 20962, 622, 269, 31472, 281, 313, 333, 1341, 670, 476, 273, 14298, 476, 275, 31626, 12569, 476, 275, 1341, 670, 476, 273, 269, 31626, 12569, 476, 275, 1341, 278, 670, 476, 273, 744, 31626, 12569, 476, 275, 269, 476, 278, 670, 476, 273, 744, 630, 322, 264, 8048, 20962, 622, 689, 17285, 1291, 912, 310, 770, 1168, 831, 5303, 5517, 16847, 11906, 2776, 27457, 2787, 454, 299, 830, 568, 606, 2500, 19552, 8851, 8665, 267, 855, 2164, 538, 513, 1804, 31993, 4320, 269, 1879, 7542, 878, 17296, 610, 620, 636, 568, 1031, 267, 519, 4401, 610, 11956, 12274, 538, 3070, 786, 2746, 609, 19552, 547, 3132, 1202, 20107, 4496, 8485, 919, 269, 634, 4110, 540, 1202, 565, 28169, 585, 891, 7135, 568, 9063, 268, 8200, 563, 7230, 15772, 540, 21019, 590, 5285, 622, 543, 2098, 4532, 590, 5285, 622, 3245, 17904, 4826, 454, 8145, 15772, 540, 7601, 23253, 543, 13058, 23253, 689, 3653, 1216, 476, 1220, 276, 269, 32597, 267, 649, 616, 4584, 1782, 7601, 543, 21567, 9212, 543, 32092, 532, 873, 609, 1216, 1310, 4584, 1782, 269, 713, 3653, 1216, 814, 7601, 23253, 543, 13058, 23253, 609, 15244, 540, 1863, 16247, 545, 3679, 267, 568, 972, 513, 5650, 547, 5094, 519, 7601, 23253, 543, 13058, 23253, 689, 519, 1216, 563, 15709, 3198, 298, 10298, 585, 4147, 476, 1015, 11061, 3848, 476, 275, 910, 30551, 454, 4512, 264, 1879, 19760, 476, 275, 27846, 568, 3773, 547, 13058, 20962, 622, 3070, 6749, 30150, 267, 513, 3043, 267, 15074, 11294, 748, 533, 696, 269, 568, 5833, 269, 31626, 12569, 476, 275, 1341, 476, 273, 26822, 476, 275, 27846, 9890, 31626, 263, 15121, 264, 476, 273, 1341, 630, 26822, 476, 275, 3738, 476, 273, 14298, 476, 275, 2060, 606, 4430, 540, 19760, 476, 275, 27846, 267, 519, 533, 696, 269, 4744, 11510, 547, 2285, 513, 7990, 1652, 3070, 540, 25543, 993, 710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 592, 1676, 762, 547, 2916, 1689, 267, 543, 786, 991, 1732, 1569, 547, 23855, 3098, 267, 6990, 267, 1344, 543, 5491, 547, 3082, 547, 30873, 1689, 269, 2608, 11982, 11124, 930, 476, 1839, 2600, 540, 519, 2698, 2804, 29754, 525, 3361, 676, 2916, 5829, 12469, 538, 3384, 12248, 1845, 1063, 476, 1220, 274, 543, 476, 1001, 274, 269, 1280, 10980, 5829, 12469, 32586, 2671, 9782, 547, 476, 10019, 2600, 269, 2608, 700, 12083, 4805, 7472, 5176, 1079, 555, 8674, 540, 6694, 655, 3827, 910, 5631, 689, 3662, 3276, 4771, 267, 23226, 543, 3049, 335, 3174, 269, 16522, 4854, 6992, 23924, 616, 519, 1985, 2101, 4186, 1026, 12460, 267, 6721, 476, 1321, 2600, 267, 543, 7573, 14713, 476, 1015, 704, 1417, 269, 2608, 12539, 8166, 5434, 689, 6683, 616, 5631, 8619, 4310, 676, 2242, 538, 2244, 946, 267, 971, 607, 14291, 7733, 1283, 770, 675, 610, 5186, 680, 663, 267, 543, 2244, 12159, 689, 936, 3766, 571, 4506, 269, 2608, 4107, 1463, 5434, 540, 15655, 543, 6491, 9317, 12547, 616, 8619, 4310, 676, 13184, 6366, 18834, 267, 7573, 2504, 538, 27876, 26753, 543, 519, 946, 540, 9436, 6992, 23924, 543, 23226, 269, 2608, 27819, 476, 2004, 2600, 540, 1158, 1426, 2504, 5673, 593, 27848, 4088, 13226, 269, 634, 824, 3368, 5673, 593, 9436, 1336, 538, 31542, 267, 3662, 23226, 267, 9436, 1922, 30480, 2371, 267, 7693, 22016, 267, 342, 770, 525, 543, 11003, 269, 2608, 2859, 982, 513, 3791, 540, 1426, 3812, 5001, 568, 4503, 610, 342, 16556, 269, 15585, 1154, 1426, 7472, 15655, 267, 799, 568, 513, 8511, 3154, 1839, 2053, 811, 14984, 982, 3327, 8166, 269, 2608, 667, 4078, 23667, 543, 4104, 12159, 2272, 585, 827, 476, 1556, 704, 1417, 540, 782, 8511, 3154, 5434, 267, 811, 982, 519, 1158, 781, 550, 790, 3560, 5823, 269, 2608, 26805, 6683, 5434, 5673, 14356, 593, 5969, 25988, 3653, 543, 2530, 267, 607, 1134, 607, 13346, 1004, 781, 11326, 910, 10175, 10438, 1447, 3662, 2472, 910, 543, 4657, 8105, 335, 847, 1182, 269, 11905, 281, 14174, 302, 476, 1001, 277, 3557, 540, 5253, 543, 11982, 1867, 630, 11847, 15659, 676, 5981, 1733, 1746, 267, 11049, 676, 23729, 534, 18007, 1782, 5919, 7490, 5491, 519, 774, 1682, 517, 1234, 26407, 7690, 267, 519, 26988, 6186, 540, 774, 1682, 517, 1234, 26407, 267, 602, 6227, 19493, 3377, 267, 2021, 781, 2924, 267, 19338, 267, 13313, 543, 2916, 1689, 269, 16731, 5291, 2517, 18080, 6745, 6412, 3820, 994, 5978, 3804, 568, 547, 1711, 513, 2922, 543, 2502, 1747, 585, 3755, 547, 1921, 936, 4690, 543, 18653, 269, 769, 1931, 547, 2087, 938, 2146, 1995, 267, 649, 616, 17303, 7080, 2056, 2376, 6085, 532, 454, 268, 23968, 5622, 5020, 454, 298, 574, 918, 731, 1662, 1014, 779, 11846, 16503, 3603, 4210, 15501, 3726, 3382, 31168, 9880, 281, 1412, 296, 4312, 2760, 1044, 865, 25922, 7055, 29394, 2987, 268, 27815, 631, 297, 4303, 6941, 1946, 13690, 918, 269, 729, 513, 3514, 585, 519, 3382, 563, 14582, 5794, 803, 8615, 2173, 6416, 7396, 585, 1269, 9262, 269, 279, 2929, 1166, 3591, 693, 25488, 543, 519, 28910, 17354, 22673, 568, 9663, 1190, 454, 763, 5207, 19915, 585, 519, 5722, 1532, 539, 3336, 267, 476, 1556, 1532, 987, 3336, 3959, 729, 27333, 1472, 3368, 540, 1018, 17172, 6048, 543, 17354, 5981, 10609, 611, 822, 328, 729, 6998, 563, 268, 24611, 4563, 10060, 454, 307, 1410, 553, 476, 280, 268, 17413, 14114, 671, 5696, 902, 513, 654, 1222, 547, 513, 4563, 7731, 779, 623, 25403, 547, 24637, 4256, 667, 5922, 9622, 613, 282, 15196, 779, 12429, 674, 3518, 956, 609, 25511, 1879, 4762, 1258, 1540, 267, 27819, 1744, 334, 1824, 3571, 13574, 4132, 454, 1103, 513, 28543, 1016, 7875, 2063, 3018, 267, 513, 627, 760, 2275, 571, 9535, 476, 280, 4458, 6040, 3043, 7911, 3357, 547, 519, 4395, 11188, 577, 540, 835, 540, 1010, 12543, 543, 536, 6548, 593, 741, 20965, 257, 24078, 713, 4544, 28459, 7199, 1317, 649, 1175, 2759, 513, 8559, 538, 519, 5186, 339, 577, 865, 649, 1223, 723, 3023, 2437, 23729, 534, 16737, 5206, 547, 1200, 18935, 626, 538, 513, 1257, 5048, 454, 296, 6415, 513, 11477, 605, 945, 13820, 539, 543, 3379, 10381, 533, 625, 689, 744, 987, 623, 14040, 267, 9741, 6970, 525, 1513, 267, 543, 12358, 3626, 781, 547, 1294, 799, 568, 519, 1655, 6765, 16741, 563, 268, 3733, 337, 1479, 16047, 6129, 5240, 454, 19322, 339, 2033, 324, 667, 516, 343, 601, 779, 3788, 941, 1336, 543, 3877, 540, 519, 7634, 616, 6368, 5950, 563, 268, 6468, 781, 2657, 454, 3891, 21355, 28822, 636, 4951, 1055, 1200, 12517, 9380, 539, 12765, 543, 2612, 538, 513, 555, 784, 536, 1731, 7236, 543, 22406, 13938, 903, 3726, 713, 15964, 269, 634, 2203, 14560, 4881, 1472, 12924, 290, 563, 268, 4303, 2023, 320, 16047, 5240, 11219, 16067, 454, 2419, 848, 11875, 328, 2714, 4503, 1010, 12483, 267, 1287, 1010, 2247, 3267, 15608, 344, 8298, 8457, 15920, 513, 9963, 547, 5261, 1635, 1258, 543, 667, 1446, 12789, 269, 1767, 1018, 827, 918, 4669, 645, 20415, 888, 268, 9487, 2001, 1231, 6390, 623, 9545, 6767, 454, 257, 12024, 538, 513, 16897, 7260, 9899, 519, 2112, 538, 12907, 814, 1831, 22946, 585, 30939, 4229, 910, 10618, 954, 4003, 676, 8232, 6796, 540, 12907, 454, 309, 3201, 7728, 312, 2793, 681, 6865, 3198, 2894, 298, 302, 910, 631, 2177, 31165, 267, 10790, 312, 476, 1626, 267, 476, 1708, 273, 267, 476, 1321, 281, 2641, 634, 8232, 6796, 540, 12907, 814, 18448, 539, 15146, 7391, 1063, 519, 30939, 10136, 267, 799, 1397, 602, 519, 1152, 3364, 789, 5326, 540, 568, 547, 7639, 267, 13649, 689, 519, 7952, 543, 2760, 2132, 547, 12907, 563, 268, 6153, 5600, 15209, 454, 763, 19622, 715, 14566, 10116, 3724, 31684, 589, 1731, 2006, 4951, 646, 781, 1869, 678, 5792, 538, 513, 4605, 609, 1010, 2025, 28543, 21582, 2692, 903, 16455, 13343, 3240, 9652, 593, 17749, 563, 268, 634, 11545, 2142, 770, 454, 23562, 7867, 305, 11701, 5518, 32157, 30922, 18799, 513, 5870, 540, 519, 6739, 21445, 4108, 19710, 267, 519, 11814, 633, 8232, 15521, 9257, 630, 290, 4306, 302, 1070, 593, 11728, 593, 519, 476, 1789, 628, 16683, 540, 922, 15713, 28559, 519, 5870, 729, 4376, 855, 4272, 2218, 269, 21156, 267, 519, 9843, 540, 1533, 689, 18433, 807, 267, 5617, 22654, 267, 27782, 16330, 267, 918, 10455, 4445, 345, 16330, 267, 543, 29069, 1731, 6017, 267, 799, 1118, 909, 519, 7104, 8878, 3919, 267, 28330, 547, 519, 3345, 9533, 15521, 9257, 267, 4682, 547, 519, 918, 8145, 4802, 11728, 538, 18293, 547, 561, 3512, 519, 1158, 779, 3210, 454, 268, 22489, 781, 645, 18054, 541, 454, 10303, 1946, 711, 888, 268, 22489, 781, 645, 18054, 541, 454, 763, 22256, 20595, 4154, 2250, 625, 267, 1274, 11057, 1274, 337, 902, 267, 543, 513, 4541, 11057, 1688, 321, 698, 547, 519, 9291, 4580, 8535, 22952, 563, 268, 14272, 18875, 5240, 454, 300, 13704, 7261, 6350, 717, 1161, 2048, 299, 8014, 538, 4414, 685, 513, 623, 6064, 3828, 626, 2060, 3798, 4445, 28010, 667, 816, 1299, 18135, 653, 344, 9995, 1023, 4438, 715, 6195, 5455, 325, 1258, 1206, 4964, 12875, 454, 300, 13704, 7261, 6350, 22283, 856, 540, 15571, 4975, 8535, 8065, 538, 1715, 3840, 4975, 538, 513, 11495, 2699, 16536, 10571, 543, 2269, 653, 344, 5070, 1023, 563, 268, 715, 6195, 11846, 7345, 22704, 454, 15031, 4459, 30094, 2917, 22316, 1454, 8335, 585, 513, 6474, 1575, 609, 5153, 327, 4354, 787, 982, 585, 835, 609, 18281, 6754, 563, 268, 6355, 6184, 3187, 454, 14976, 517, 30073, 568, 1210, 513, 1412, 27594, 17696, 519, 6780, 262, 28195, 547, 5732, 1394, 856, 540, 9140, 12108, 543, 972, 568, 1631, 513, 1447, 982, 476, 2004, 260, 4960, 519, 4308, 4991, 2944, 267, 11205, 321, 2313, 3081, 454, 15404, 330, 814, 834, 322, 1245, 3952, 593, 519, 12108, 4308, 609, 519, 7762, 3390, 711, 513, 1007, 3390, 543, 2693, 811, 540, 513, 1085, 1901, 2998, 520, 547, 7903, 585, 513, 2539, 3902, 2437, 11205, 321, 2313, 1767, 563, 268, 10783, 29247, 10060, 268, 5938, 5586, 1090, 454, 763, 28543, 8575, 591, 6506, 616, 538, 519, 5375, 10985, 5685, 1023, 607, 700, 26854, 5213, 322, 545, 22595, 10794, 476, 278, 1996, 27925, 454, 268, 634, 1715, 20429, 540, 12907, 454, 305, 11701, 7952, 27907, 3576, 513, 1463, 5734, 950, 12907, 10032, 3592, 606, 3003, 10627, 30119, 12394, 547, 3444, 519, 590, 1392, 5652, 5213, 1115, 5757, 267, 519, 1715, 3840, 8648, 1767, 538, 606, 10763, 4062, 827, 519, 10071, 563, 268, 634, 10830, 454, 25938, 269, 595, 2106, 628, 807, 700, 17026, 529, 630, 305, 8862, 14623, 4700, 23294, 1242, 593, 11728, 1310, 1352, 729, 1630, 334, 539, 676, 513, 15624, 1282, 513, 30134, 618, 2232, 693, 519, 2160, 540, 29131, 585, 6031, 621, 568, 513, 968, 325, 1495, 4442, 3621, 5168, 892, 602, 972, 616, 1152, 968, 18314, 28486, 1848, 700, 17026, 529, 1767, 968, 527, 729, 2760, 1250, 9837, 547, 1118, 4896, 1745, 796, 2914, 601, 20411, 610, 771, 637, 4624, 2223, 543, 23294, 1242, 547, 1346, 7498, 268, 17857, 4975, 10060, 454, 763, 11371, 644, 619, 14201, 1406, 519, 1152, 3283, 945, 941, 11439, 267, 7128, 1767, 269, 0, 2467, 616, 930, 2596, 4773, 540, 3937, 602, 2097, 547, 2247, 950, 596, 1589, 540, 1085, 18866, 11362, 268, 19477, 899, 899, 707, 631, 2532, 267, 10965, 1251, 601, 267, 654, 1115, 3726, 267, 4210, 574, 674, 1231, 543, 27488, 26653, 269, 1452, 616, 711, 267, 2705, 267, 519, 1152, 10591, 596, 3513, 991, 950, 707, 979, 585, 513, 4685, 269, 1703, 616, 2603, 811, 17960, 3238, 538, 1085, 18866, 269, 2368, 540, 873, 616, 1898, 267, 930, 616, 18593, 267, 855, 782, 786, 2087, 707, 1085, 18866, 11362, 1995, 563, 9928, 18866, 11362, 568, 1390, 1187, 267, 855, 607, 596, 6108, 519, 2898, 4685, 14015, 972, 568, 2141, 930, 1981, 3238, 538, 621, 269, 901, 2306, 621, 1360, 1271, 547, 723, 513, 2922, 4685, 267, 585, 602, 835, 1590, 723, 519, 1697, 3937, 563, 9928, 18866, 3794, 7174, 910, 2659, 530, 1115, 3726, 786, 1152, 3382, 707, 8731, 810, 543, 17873, 269, 1403, 596, 2811, 11362, 538, 16830, 1216, 1287, 621, 781, 1271, 547, 2149, 519, 1964, 540, 707, 1560, 609, 1085, 18866, 17309, 267, 25192, 267, 543, 1256, 26372, 338, 269, 589, 1434, 1350, 913, 786, 2149, 596, 689, 4411, 5210, 607, 1134, 607, 824, 1761, 10898, 267, 899, 588, 15781, 2831, 563, 306, 6768, 570, 3471, 543, 4406, 1407, 910, 570, 3471, 616, 519, 22449, 540, 11362, 269, 570, 3471, 616, 15841, 593, 519, 1394, 540, 11651, 543, 998, 519, 11896, 543, 26273, 621, 7727, 5135, 547, 519, 11651, 269, 589, 11651, 1058, 6157, 723, 513, 1434, 543, 6325, 7382, 267, 855, 596, 1058, 1869, 3142, 513, 22302, 607, 606, 3773, 13390, 1081, 563, 9928, 18866, 4239, 22455, 910, 4239, 641, 4926, 616, 513, 2027, 1826, 540, 1085, 18866, 26273, 269, 1358, 960, 1175, 899, 606, 8723, 26273, 267, 8744, 2011, 689, 519, 7382, 547, 519, 11651, 781, 5023, 267, 855, 789, 1450, 519, 25312, 547, 581, 8237, 543, 3838, 609, 1776, 11651, 269, 1358, 2811, 519, 3501, 3106, 3937, 547, 2149, 707, 4685, 14609, 344, 563, 9928, 18866, 717, 879, 2471, 910, 717, 879, 2471, 2285, 4129, 1271, 1344, 267, 971, 607, 1699, 1216, 2837, 267, 875, 1454, 2011, 568, 2451, 538, 519, 7382, 543, 1018, 4287, 646, 610, 1352, 568, 6849, 269, 634, 11651, 666, 7447, 1010, 610, 1200, 4685, 8653, 543, 1118, 2242, 2687, 547, 519, 8244, 540, 2011, 563, 9928, 18866, 11370, 1195, 3599, 6513, 20905, 910, 11370, 1195, 3599, 1852, 3457, 616, 12816, 13974, 547, 513, 30618, 610, 22514, 267, 855, 741, 1292, 3483, 568, 547, 948, 1085, 18866, 4129, 3035, 9243, 26255, 3599, 269, 589, 1434, 645, 7374, 786, 723, 513, 2597, 1062, 610, 22836, 585, 12035, 547, 948, 2061, 596, 689, 13735, 547, 519, 2627, 267, 543, 606, 2011, 15485, 547, 2061, 596, 689, 29855, 547, 519, 6989, 563, 294, 792, 20045, 910, 1635, 1631, 596, 1058, 1174, 972, 616, 513, 2603, 540, 17960, 543, 1085, 18866, 11362, 3937, 3238, 267, 543, 621, 1131, 581, 3833, 2182, 547, 4163, 782, 519, 3937, 14350, 269, 769, 1931, 547, 3560, 707, 3937, 267, 2015, 1210, 513, 2480, 18866, 717, 792, 20045, 269, 1358, 2097, 538, 513, 3099, 540, 2450, 543, 5546, 267, 543, 786, 1796, 909, 547, 5230, 267, 6632, 1085, 18866, 10591, 563, 9928, 18866, 28691, 910, 4495, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27447, 24662, 281, 6241, 17138, 815, 834, 293, 311, 306, 16281, 311, 310, 4840, 27447, 24731, 281, 476, 20969, 278, 4366, 3607, 275, 278, 692, 8528, 418, 493, 494, 419, 353, 374, 16088, 692, 825, 476, 272, 10922, 6241, 17138, 32324, 10922, 476, 278, 454, 825, 6241, 17138, 476, 10524, 483, 13200, 365, 27962, 19540, 503, 420, 489, 365, 24757, 14756, 482, 29873, 454, 825, 6241, 17138, 13127, 506, 357, 420, 490, 481, 18713, 368, 22373, 288, 2580, 834, 293, 311, 306, 16281, 311, 310, 19312, 13127, 484, 483, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 1410, 4897, 1606, 18694, 12258, 4379, 5991, 3784, 454, 420, 495, 501, 30853, 23521, 481, 25051, 496, 30903, 484, 19867, 352, 419, 377, 495, 14756, 506, 19867, 478, 20069, 12486, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 420, 479, 498, 419, 367, 375, 14395, 502, 25913, 26406, 486, 23521, 481, 8147, 30837, 508, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 21796, 357, 13107, 492, 24731, 14035, 482, 25707, 12163, 5035, 8827, 912, 825, 1219, 2140, 2414, 10831, 4311, 267, 6241, 17138, 281, 1193, 264, 9847, 703, 912, 1038, 544, 1952, 518, 815, 2715, 322, 281, 328, 266, 272, 585, 1775, 267, 524, 538, 26246, 2891, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 8442, 8679, 1038, 562, 815, 7003, 263, 26383, 17138, 994, 1038, 759, 815, 476, 271, 454, 1038, 585, 1775, 267, 524, 538, 26246, 263, 26383, 17138, 2187, 2018, 759, 6834, 476, 2918, 1262, 263, 333, 25829, 268, 272, 264, 2608, 544, 1952, 518, 314, 322, 2639, 1038, 2132, 759, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1793, 815, 8827, 4590, 825, 6241, 17138, 815, 834, 293, 311, 306, 16281, 311, 310, 4840, 825, 1820, 4433, 331, 26644, 2414, 10831, 263, 26383, 17138, 4297, 0, 12163, 14756, 503, 12916, 510, 22047, 10533, 368, 12255, 12255, 14756, 482, 15358, 13127, 23687, 22047, 10533, 368, 12255, 3077, 476, 12486, 692, 12571, 495, 12255, 14756, 482, 18809, 7511, 30006, 493, 14748, 10533, 368, 12255, 31176, 491, 418, 371, 375, 20693, 510, 1109, 262, 22065, 476, 16043, 500, 25023, 5236, 376, 490, 419, 482, 370, 12571, 492, 4970, 366, 420, 479, 498, 420, 369, 371, 19867, 478, 20069, 10533, 368, 12255, 8147, 23746, 23284, 22909, 482, 20881, 510, 22047, 476, 23989, 20001, 378, 19764, 493, 5236, 376, 504, 692, 28032, 489, 417, 28187, 8147, 333, 4548, 815, 1496, 273, 267, 476, 272, 316, 5236, 376, 490, 23746, 23284, 21928, 476, 273, 476, 18263, 489, 31176, 491, 418, 371, 375, 20693, 510, 25962, 5236, 376, 490, 21928, 476, 272, 476, 18263, 489, 31176, 491, 418, 371, 375, 20693, 510, 25023, 5236, 376, 490, 419, 482, 370, 12571, 492, 4970, 366, 420, 479, 498, 420, 369, 371, 23521, 354, 23523, 501, 28996, 23989, 20001, 378, 19764, 493, 834, 266, 273, 268, 272, 257, 476, 25707, 13213, 498, 18713, 508, 23746, 23284, 20881, 504, 13213, 485, 31968, 13213, 364, 25913, 25622, 22909, 482, 20881, 510, 7511, 18998, 13213, 494, 28997, 501, 14756, 497, 31563, 419, 511, 487, 30678, 3077, 476, 7511, 21251, 12571, 490, 476, 23989, 20001, 378, 19764, 493, 476, 7511, 12255, 25203, 362, 12486, 692, 24372, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 16088, 333, 4548, 815, 1496, 272, 267, 272, 267, 272, 267, 272, 267, 272, 3910, 3077, 815, 476, 274, 454, 27447, 24731, 16088, 276, 454, 25335, 352, 19404, 488, 16088, 13601, 10429, 365, 20069, 476, 276, 22614, 356, 491, 25913, 25622, 18777, 358, 31006, 14756, 486, 25203, 362, 21550, 485, 25520, 20992, 476, 274, 476, 25707, 268, 272, 1341, 476, 272, 1341, 476, 272, 1341, 476, 272, 1341, 476, 272, 815, 476, 274, 454, 266, 272, 910, 476, 272, 1341, 476, 272, 1341, 476, 272, 1341, 476, 272, 815, 476, 274, 454, 266, 272, 1341, 476, 272, 910, 476, 272, 1341, 476, 272, 1341, 476, 272, 815, 476, 274, 454, 266, 272, 1341, 476, 272, 1341, 476, 272, 910, 476, 272, 1341, 476, 272, 815, 476, 274, 454, 266, 272, 1341, 476, 272, 1341, 476, 272, 1341, 476, 272, 910, 476, 272, 815, 476, 274, 454, 419, 353, 374, 28032, 489, 476, 273, 16088, 692, 27447, 24662, 16088, 333, 4548, 815, 1496, 272, 3910, 3077, 815, 476, 272, 454, 27447, 24731, 16088, 272, 454, 24372, 418, 493, 494, 419, 353, 374, 16088, 692, 272, 10922, 15358, 32324, 10922, 476, 736, 454, 271, 10922, 15358, 5157, 316, 10922, 476, 1911, 271, 454, 271, 10922, 2040, 25225, 5157, 8079, 10922, 476, 1911, 271, 454, 268, 1911, 271, 10922, 3077, 10922, 476, 1911, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 14121, 13759, 1606, 636, 454, 420, 495, 501, 30853, 23521, 481, 25051, 496, 30903, 484, 19867, 352, 419, 377, 495, 14756, 506, 19867, 478, 20069, 12486, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 420, 479, 498, 419, 367, 375, 14395, 502, 25913, 26406, 486, 23521, 481, 8147, 30837, 508, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 21796, 357, 13107, 492, 24731, 14035, 482, 25707, 12163, 5228, 17511, 1104, 5903, 454, 5035, 8827, 912, 825, 1219, 1265, 307, 13759, 11764, 310, 904, 4311, 267, 15358, 281, 5903, 27776, 3910, 3077, 281, 703, 264, 9847, 703, 912, 1038, 1948, 476, 18777, 364, 12255, 14756, 482, 7511, 30317, 27381, 510, 25520, 20992, 8999, 8147, 418, 371, 375, 20693, 510, 910, 476, 9463, 371, 7511, 30317, 27381, 510, 18263, 489, 25520, 20992, 2258, 8147, 10254, 503, 10429, 370, 12916, 503, 418, 371, 375, 20693, 510, 1341, 476, 7511, 30317, 27381, 510, 18263, 489, 25520, 20992, 2040, 6629, 10864, 8147, 23523, 501, 28996, 7511, 23989, 20001, 378, 19764, 493, 7511, 14756, 497, 31563, 20992, 454, 1038, 1948, 630, 8999, 6629, 10864, 264, 6629, 10864, 284, 8999, 6629, 273, 414, 24844, 10864, 284, 339, 13759, 454, 1038, 1948, 2652, 285, 2258, 815, 630, 8999, 910, 3077, 8358, 273, 454, 1038, 1948, 476, 25426, 362, 30903, 502, 420, 377, 361, 25060, 500, 29873, 21928, 12255, 14756, 482, 15358, 476, 18809, 20881, 487, 9463, 500, 420, 489, 354, 23946, 366, 30317, 27381, 510, 8147, 12916, 379, 23523, 501, 30244, 11590, 505, 30317, 27381, 510, 18263, 489, 25520, 419, 511, 487, 30678, 10864, 8147, 18777, 350, 28997, 501, 20881, 487, 9463, 500, 30317, 27381, 510, 7511, 25913, 418, 350, 486, 12255, 25707, 1038, 1948, 31185, 5157, 6012, 329, 13912, 476, 10524, 492, 12255, 14756, 482, 271, 28996, 328, 7511, 25520, 20992, 329, 7511, 25913, 418, 350, 486, 12255, 454, 1038, 1948, 31185, 5157, 6012, 329, 316, 815, 31185, 5157, 268, 272, 6012, 329, 27994, 31185, 5157, 268, 272, 6012, 329, 5991, 4548, 5157, 14963, 952, 795, 285, 284, 333, 4548, 5157, 2639, 1038, 1948, 31185, 5157, 6012, 329, 316, 815, 31185, 5157, 268, 272, 6012, 329, 316, 952, 795, 283, 333, 4548, 5157, 2639, 1038, 1948, 31185, 314, 271, 6012, 329, 316, 815, 476, 272, 952, 795, 284, 271, 3116, 476, 271, 454, 1038, 562, 815, 7003, 25225, 994, 1038, 18304, 815, 2040, 25225, 994, 1038, 886, 815, 18304, 910, 3077, 454, 1038, 952, 886, 2999, 476, 271, 610, 886, 4939, 476, 273, 11203, 476, 271, 912, 2018, 2132, 476, 271, 454, 1038, 2258, 815, 703, 5560, 858, 1315, 476, 273, 994, 1038, 1948, 31185, 815, 20886, 271, 316, 16732, 10864, 266, 272, 264, 585, 9041, 538, 2039, 3799, 266, 272, 22708, 1038, 1948, 1820, 12759, 5560, 335, 1070, 6352, 5560, 335, 314, 271, 28413, 1038, 1948, 31185, 314, 271, 6012, 271, 316, 815, 476, 272, 454, 1038, 1948, 585, 795, 538, 2039, 263, 272, 267, 2258, 266, 272, 2187, 1038, 1948, 672, 31185, 314, 271, 6012, 329, 316, 815, 476, 271, 28329, 1038, 1948, 585, 1775, 538, 2039, 263, 272, 267, 562, 266, 272, 2187, 1038, 1948, 672, 1003, 815, 15358, 5157, 268, 272, 2639, 1038, 1948, 672, 585, 795, 538, 2039, 263, 10864, 266, 272, 2187, 1038, 1948, 1363, 31185, 5157, 6012, 329, 316, 815, 31185, 5157, 268, 272, 6012, 329, 2639, 1038, 1948, 1363, 952, 795, 285, 284, 11133, 912, 1038, 1948, 17264, 31185, 5157, 6012, 329, 316, 6834, 31185, 5157, 268, 272, 6012, 329, 5991, 636, 2639, 1038, 1948, 1820, 5560, 335, 994, 1038, 1948, 2132, 31185, 19559, 6012, 10864, 2639, 1038, 31185, 815, 1496, 271, 585, 9041, 538, 2039, 263, 10864, 266, 272, 22708, 1038, 31185, 314, 271, 316, 815, 476, 272, 454, 1038, 585, 1003, 538, 15358, 912, 2018, 1820, 263, 10864, 267, 1003, 994, 2018, 952, 2258, 13843, 1003, 912, 3546, 585, 795, 538, 2039, 263, 10864, 267, 1003, 268, 272, 267, 910, 272, 2187, 7386, 31185, 14728, 316, 6834, 31185, 14728, 5991, 636, 2639, 7386, 1820, 5560, 335, 994, 1038, 2132, 31185, 314, 10864, 6540, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 8827, 4590, 825, 15358, 815, 1496, 272, 267, 272, 267, 272, 267, 272, 267, 272, 2639, 825, 3077, 815, 476, 274, 454, 825, 1820, 4433, 26098, 307, 13759, 11764, 310, 904, 25225, 267, 3077, 4297, 0, 12163, 14756, 503, 27936, 22047, 10951, 359, 26406, 496, 31365, 7511, 10533, 368, 12255, 12255, 14756, 482, 8147, 19867, 378, 28996, 31006, 421, 499, 379, 20881, 496, 417, 351, 508, 31878, 31365, 28578, 7511, 14748, 12255, 12486, 692, 419, 353, 374, 28032, 489, 476, 272, 1384, 27447, 24662, 281, 1496, 272, 267, 274, 267, 276, 267, 275, 267, 278, 2639, 27447, 24731, 281, 476, 273, 454, 25335, 352, 19404, 488, 281, 476, 20069, 4970, 353, 14748, 31006, 421, 499, 379, 20881, 496, 417, 351, 508, 31878, 31365, 28578, 8147, 26166, 10254, 360, 15159, 1496, 272, 267, 476, 274, 267, 476, 275, 267, 476, 278, 316, 13127, 23687, 314, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 316, 25707, 419, 353, 374, 28032, 489, 476, 273, 1384, 27447, 24662, 281, 1496, 273, 267, 273, 267, 273, 267, 273, 267, 273, 2639, 27447, 24731, 281, 476, 276, 454, 25335, 352, 19404, 488, 281, 476, 31006, 421, 499, 379, 20881, 496, 417, 351, 508, 31878, 31365, 28578, 7511, 421, 499, 379, 18021, 355, 15159, 272, 8147, 23946, 370, 4970, 498, 11858, 502, 21928, 276, 14748, 31878, 31365, 28578, 7511, 421, 499, 379, 18021, 355, 20992, 272, 8147, 18713, 510, 27882, 353, 27447, 24731, 276, 25707, 21796, 357, 418, 482, 493, 281, 1109, 14756, 503, 27936, 7511, 12255, 14756, 482, 421, 499, 379, 18021, 355, 21251, 420, 370, 483, 13213, 485, 476, 1220, 271, 13127, 373, 370, 4970, 498, 14756, 497, 31563, 13601, 27936, 15159, 3953, 12916, 491, 20069, 31033, 9463, 371, 10533, 368, 12255, 12486, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 14672, 3784, 6361, 17489, 652, 2987, 920, 2084, 28175, 30084, 454, 420, 495, 501, 30853, 23521, 481, 25051, 496, 30903, 484, 19867, 352, 419, 377, 495, 14756, 506, 19867, 478, 20069, 12486, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 420, 479, 498, 419, 367, 375, 14395, 502, 25913, 26406, 486, 23521, 481, 8147, 30837, 508, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 21796, 357, 13107, 492, 24731, 14035, 482, 25707, 12163, 5228, 17511, 1104, 5903, 692, 5035, 8827, 912, 825, 1219, 1265, 10831, 8170, 299, 3041, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 7828, 815, 7003, 25225, 994, 1038, 952, 7828, 2999, 476, 272, 912, 2018, 2132, 476, 271, 454, 1038, 952, 7828, 2652, 476, 272, 912, 2018, 2132, 476, 272, 28329, 1038, 31185, 815, 1496, 272, 30297, 331, 839, 454, 1038, 1293, 815, 1496, 272, 30297, 331, 839, 454, 1038, 3193, 6352, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 10857, 839, 2187, 2018, 585, 795, 538, 2039, 9217, 2187, 3546, 952, 15358, 5157, 316, 3436, 15358, 14728, 14158, 7386, 952, 31185, 5157, 316, 2999, 31185, 14728, 27994, 272, 912, 13376, 31185, 5157 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9936, 899, 1699, 267, 6453, 543, 4187, 538, 1114, 11387, 855, 621, 6140, 1031, 538, 1950, 11387, 547, 1265, 5122, 6724, 563, 2005, 729, 513, 2143, 2376, 593, 918, 12710, 1876, 594, 6836, 1250, 1655, 547, 2328, 538, 513, 2241, 1259, 269, 1403, 596, 723, 1022, 2243, 827, 621, 2307, 538, 8292, 269, 594, 786, 3391, 596, 2649, 1947, 269, 8729, 585, 2542, 269, 6875, 1416, 2394, 519, 1985, 5850, 269, 0, 258, 1403, 1269, 344, 30381, 8987, 322, 21147, 7565, 268, 323, 21147, 7751, 543, 834, 1492, 1071, 18026, 540, 1269, 343, 259, 568, 1269, 321, 259, 2580, 1287, 1265, 1269, 320, 259, 538, 2474, 540, 1269, 322, 259, 543, 1269, 323, 6911, 11693, 519, 1739, 281, 3230, 344, 815, 513, 315, 12101, 3847, 263, 910, 524, 21147, 9368, 264, 1422, 12101, 3847, 263, 910, 546, 21147, 9368, 14638, 543, 602, 834, 1492, 1071, 18026, 540, 3230, 343, 2330, 568, 3230, 321, 2330, 2580, 543, 4280, 547, 5581, 3230, 320, 2330, 538, 2474, 540, 3230, 322, 2330, 543, 3230, 323, 18079, 1946, 568, 519, 2626, 281, 3230, 320, 815, 1422, 2765, 24877, 321, 2410, 322, 266, 323, 15732, 2691, 594, 3801, 547, 4194, 713, 8885, 267, 594, 1439, 909, 609, 513, 3126, 540, 7429, 2474, 269, 1548, 5949, 547, 3230, 343, 2330, 286, 1772, 519, 1433, 594, 6557, 2324, 689, 4636, 2496, 1892, 594, 1589, 594, 1174, 855, 594, 1131, 899, 547, 12172, 1945, 1354, 594, 1118, 1250, 13429, 269, 1684, 596, 1611, 547, 723, 513, 2942, 9170, 538, 602, 6824, 286, 8734, 476, 866, 267, 476, 1708, 273, 693, 476, 275, 281, 6795, 454, 1892, 594, 786, 979, 6619, 543, 1118, 1250, 13429, 269, 1403, 596, 2328, 707, 9971, 538, 3044, 1106, 630, 10339, 663, 539, 1106, 1070, 596, 1058, 1294, 519, 11664, 568, 1945, 3116, 824, 982, 536, 269, 1924, 596, 786, 1305, 602, 4082, 3160, 547, 536, 543, 4194, 585, 513, 269, 8734, 476, 866, 267, 476, 1708, 273, 693, 476, 276, 281, 6349, 454, 1892, 23875, 5949, 547, 1269, 343, 10608, 1403, 596, 1163, 534, 1269, 320, 8987, 322, 21147, 7565, 268, 323, 21147, 7751, 596, 616, 2469, 547, 1205, 1945, 540, 519, 1106, 1269, 344, 815, 1422, 10401, 1535, 317, 273, 1341, 1422, 15883, 1535, 1341, 1422, 24472, 259, 1141, 4399, 10401, 8961, 4399, 15883, 259, 543, 4399, 24472, 259, 616, 782, 930, 4999, 540, 1269, 320, 28504, 22698, 10608, 634, 11664, 540, 1269, 343, 8961, 1018, 594, 13042, 607, 4399, 15883, 8961, 568, 930, 4999, 540, 1269, 320, 22698, 28504, 10608, 634, 1433, 568, 10912, 602, 11664, 1269, 321, 10608, 1924, 596, 1058, 723, 1269, 321, 815, 259, 16341, 4999, 540, 1269, 320, 22698, 28504, 10608, 16534, 585, 1269, 320, 10608, 8734, 476, 866, 267, 476, 1708, 273, 693, 476, 276, 281, 4097, 454, 1892, 834, 15290, 594, 3801, 547, 4194, 713, 8885, 1775, 1439, 909, 609, 513, 3126, 540, 7429, 2474, 257, 1018, 798, 596, 1439, 909, 609, 269, 1284, 666, 1405, 2995, 596, 1018, 596, 1705, 4636, 630, 663, 9811, 267, 596, 267, 1705, 1945, 4636, 267, 711, 519, 1433, 264, 952, 596, 1810, 1405, 2995, 721, 1018, 596, 1705, 269, 8734, 476, 866, 267, 476, 1708, 273, 693, 476, 276, 281, 3374, 692, 5970, 3230, 344, 815, 513, 3287, 2275, 7565, 343, 1673, 14638, 454, 11377, 574, 18680, 586, 815, 513, 3287, 317, 273, 910, 630, 322, 266, 323, 32589, 1341, 7251, 264, 815, 4949, 317, 273, 910, 513, 6262, 266, 323, 32589, 1341, 659, 323, 14638, 1284, 616, 5143, 519, 11664, 540, 3230, 343, 2330, 568, 3230, 321, 2330, 865, 649, 723, 281, 3230, 268, 320, 6262, 266, 323, 264, 815, 536, 2330, 543, 1287, 22198, 4474, 585, 3230, 320, 2330, 3947, 281, 3230, 320, 7807, 2765, 24877, 321, 2410, 322, 266, 323, 28021, 1892, 8729, 7711, 302, 1375, 12340, 256, 594, 1174, 707, 7269, 267, 855, 972, 568, 1945, 708, 7508, 799, 2306, 621, 2352, 585, 803, 547, 1246, 519, 851, 827, 519, 1071, 18026, 540, 1535, 1373, 536, 269, 1403, 519, 1071, 18026, 540, 1535, 568, 536, 267, 1287, 568, 660, 519, 1985, 1900, 547, 12990, 1269, 268, 320, 6262, 266, 323, 7751, 609, 1269, 321, 259, 286, 2052, 596, 14969, 593, 519, 30337, 618, 1184, 286, 8734, 476, 866, 267, 476, 1708, 273, 693, 476, 2641, 281, 5655, 454, 1892, 634, 29784, 1175, 12628, 269, 9717, 519, 2626, 267, 519, 6044, 547, 5581, 513, 538, 2474, 540, 524, 543, 546, 5526, 18106, 267, 610, 22801, 269, 12344, 1775, 993, 1869, 1932, 14542, 609, 519, 14908, 540, 6310, 11407, 547, 723, 6956, 602, 1269, 343, 259, 543, 1269, 344, 259, 1223, 581, 16053, 267, 849, 519, 1318, 2865, 2165, 538, 519, 7269, 1269, 7251, 10608, 594, 1294, 875, 621, 568, 2009, 547, 1226, 622, 536, 609, 519, 1647, 2165, 543, 4194, 585, 1269, 320, 8961, 855, 594, 6415, 11821, 827, 1141, 538, 519, 4161, 621, 568, 7989, 24777, 547, 11716, 782, 824, 2474, 267, 610, 568, 713, 17697, 538, 519, 5106, 286, 8734, 476, 866, 267, 476, 1708, 273, 693, 476, 2420, 281, 4343, 454, 1892, 594, 1589, 594, 1174, 707, 10539, 269, 2913, 781, 2161, 649, 723, 602, 281, 3230, 1314, 317, 273, 1341, 536, 343, 1341, 322, 815, 533, 343, 317, 273, 1341, 7117, 343, 1341, 337, 2330, 898, 781, 1271, 547, 1174, 602, 1269, 343, 259, 568, 513, 4756, 865, 713, 6935, 6585, 3020, 585, 1022, 1871, 540, 1269, 343, 10608, 681, 792, 337, 4474, 3947, 281, 30967, 320, 1790, 32589, 317, 273, 23444, 321, 268, 336, 32589, 25239, 8573, 815, 476, 271, 2330, 8298, 1227, 649, 666, 1294, 602, 585, 713, 547, 581, 3020, 1100, 2339, 1018, 519, 1871, 540, 1269, 343, 259, 568, 267, 649, 1590, 723, 1269, 320, 284, 335, 14720, 284, 336, 22698, 284, 337, 259, 855, 594, 786, 6961, 713, 7488, 269, 901, 568, 3020, 585, 782, 1535, 865, 1577, 781, 1305, 1269, 343, 284, 271, 8961, 1287, 281, 3230, 322, 8573, 284, 271, 1422, 574, 18680, 524, 284, 337, 2330, 15240, 23082, 713, 1394, 6645, 721, 281, 30967, 320, 1790, 32589, 317, 273, 1341, 630, 321, 268, 336, 32589, 815, 476, 271, 2330, 8734, 476, 736, 267, 476, 1708, 273, 693, 476, 1428, 281, 1704, 454, 1892, 3767, 1577, 781, 1305, 1269, 343, 284, 272, 259, 281, 3230, 320, 1790, 17070, 268, 336, 284, 271, 1422, 574, 18680, 513, 1790, 815, 910, 263, 321, 268, 336, 14638, 11088, 267, 649, 12990, 713, 1394, 883, 938, 13392, 281, 3230, 24179, 321, 268, 336, 32589, 317, 273, 1341, 630, 321, 268, 336, 32589, 815, 476, 271, 2330, 1403, 649, 1631, 1305, 1269, 343, 284, 273, 259, 281, 3230, 268, 275, 6357, 268, 336, 264, 1341, 630, 321, 268, 336, 264, 815, 476, 271, 2330, 22198, 4474, 3947, 281, 3230, 321, 284, 336, 2330, 1924, 267, 649, 666, 9959, 602, 952, 1079, 9076, 18267, 616, 3160, 267, 865, 616, 741, 1269, 343, 259, 14170, 267, 543, 267, 538, 1249, 267, 741, 1269, 343, 317, 273, 259, 543, 1269, 343, 317, 271, 259, 14170, 630, 2421, 519, 1482, 7744, 1040, 4475, 267, 952, 519, 1269, 343, 259, 11664, 540, 1269, 344, 259, 568, 1269, 321, 8961, 2094, 1269, 344, 815, 4949, 317, 273, 910, 513, 6262, 266, 323, 32589, 1341, 659, 323, 8961, 649, 1590, 723, 281, 1269, 321, 815, 910, 320, 6262, 266, 323, 7751, 8734, 476, 736, 267, 476, 1708, 273, 693, 476, 1428, 281, 1704, 0, 5415, 476, 274, 5937, 11708, 269, 1924, 649, 786, 2328, 602, 607, 606, 7533, 936, 930, 1858, 540, 513, 1599, 540, 1079, 4632, 282, 15848, 267, 11276, 610, 649, 3513, 7471, 936, 513, 4320, 269, 634, 21658, 1063, 2582, 543, 5595, 5610, 269, 1677, 1451, 811, 267, 2070, 938, 267, 623, 10603, 1695, 553, 534, 1924, 531, 476, 1724, 269, 274, 918, 1779, 15252, 476, 273, 8830, 3250, 630, 516, 6665, 328, 5033, 321, 559, 534, 264, 15854, 476, 1626, 269, 274, 630, 516, 6665, 328, 1642, 3253, 1070, 11762, 538, 21070, 20145, 12327, 2207, 290, 30990, 590, 4953, 476, 1626, 269, 272, 267, 674, 7419, 290, 16739, 6730, 26827, 30600, 476, 272, 269, 272, 9050, 18467, 547, 11724, 513, 9577, 269, 18564, 602, 10128, 3230, 325, 630, 343, 267, 586, 14638, 609, 2463, 547, 3230, 344, 2330, 568, 519, 11201, 5106, 540, 2921, 519, 9864, 12045, 540, 3230, 325, 630, 343, 267, 586, 14638, 609, 2463, 547, 3230, 344, 21974, 1160, 6570, 476, 1704, 269, 272, 630, 296, 614, 730, 6715, 23552, 1040, 10222, 921, 29398, 616, 9247, 519, 1482, 3364, 607, 5595, 29398, 269, 769, 6128, 630, 14588, 32496, 1617, 19041, 762, 11810, 1070, 513, 2789, 7533, 568, 513, 17386, 7533, 540, 513, 1599, 540, 1896, 1483, 4632, 267, 585, 3236, 267, 535, 3287, 267, 586, 264, 610, 535, 3287, 267, 586, 267, 1990, 1040, 18204, 23552, 540, 513, 1599, 540, 1079, 4632, 936, 513, 3148, 538, 630, 1492, 1483, 5991, 3784, 7077, 264, 616, 1572, 5595, 29398, 267, 543, 29398, 540, 513, 1599, 540, 1614, 4632, 936, 513, 3148, 538, 630, 9418, 5991, 3784, 476, 274, 291, 2230, 264, 616, 1572, 17784, 29398, 269, 2630, 519, 3113, 540, 513, 1599, 535, 3287, 11971, 264, 543, 1657, 513, 3148, 681, 267, 2808, 851, 540, 519, 27976, 13807, 2033, 269, 10128, 3252, 540, 1614, 4632, 538, 799, 519, 4830, 4632, 616, 689, 1614, 21021, 4525, 269, 1924, 649, 723, 1079, 2010, 540, 29398, 269, 1284, 2965, 723, 6829, 713, 1631, 607, 513, 17784, 7533, 269, 1284, 1031, 513, 5595, 7533, 547, 11753, 936, 513, 1079, 8820, 3148, 543, 865, 621, 12582, 5889, 19050, 382, 503, 339, 581, 1932, 9670, 602, 649, 5889, 19050, 382, 503, 961, 946, 513, 17784, 7533, 547, 11753, 936, 513, 1614, 21021, 3148, 269, 901, 1184, 540, 2469, 998, 1079, 23200, 540, 29398, 568, 1572, 5595, 5610, 267, 543, 519, 2063, 4082, 538, 17817, 1422, 10915, 346, 292, 336, 274, 269, 272, 348, 568, 1572, 513, 5595, 7533, 269, 4635, 594, 614, 730, 6715, 23552, 547, 1265, 1858, 269, 11555, 281, 1215, 547, 594, 5173, 5595, 29398, 593, 513, 27764, 476, 10019, 286, 5457, 875, 5595, 29398, 666, 581, 2854, 607, 12055, 730, 29398, 269, 901, 568, 585, 2836, 322, 4083, 543, 594, 991, 948, 5225, 269, 12882, 19050, 22935, 476, 274, 9509, 7300, 338, 1644, 547, 713, 1957, 269, 901, 1797, 1603, 519, 7533, 607, 606, 12055, 730, 7533, 540, 519, 1106, 8422, 667, 7645, 6611, 269, 1284, 723, 519, 5595, 7533, 269, 1635, 1210, 938, 3135, 267, 596, 3858, 547, 938, 4015, 540, 1344, 998, 519, 946, 540, 12897, 269, 769, 519, 17784, 7533, 2073, 2073, 476, 271, 1403, 630, 2073, 2073, 3738, 815, 476, 272, 1287, 713, 17784, 7533, 568, 519, 1482, 607, 2073, 799, 568, 3274, 519, 4320, 896, 519, 2627, 6719, 676, 1990, 3287, 11971, 1040, 9373, 519, 4757, 2232, 596, 9896, 909, 609, 543, 649, 3513, 4757, 596, 513, 19268, 3095, 269, 2913, 781, 979, 1394, 256, 13038, 6715, 23552, 543, 741, 10241, 476, 3374, 278, 769, 713, 2013, 267, 621, 568, 1799, 1468, 2436, 535, 3287, 267, 586, 264, 568, 7471, 1101, 609, 2463, 547, 1535, 610, 586, 267, 519, 1267, 568, 796, 5306, 1229, 538, 1312, 519, 2665, 630, 8993, 269, 634, 594, 614, 730, 6715, 1537, 269, 476, 276, 269, 276, 1040, 519, 5595, 7533, 540, 535, 936, 519, 3148, 681, 269, 634, 10035, 546, 288, 6920, 513, 1507, 3787, 540, 1858, 267, 1510, 28408, 1022, 1880, 1931, 585, 519, 4632, 1535, 543, 586, 282, 621, 568, 10156, 543, 269, 3848, 476, 1321, 269, 476, 1428, 269, 272, 11730, 543, 19105, 27551, 476, 4343, 278, 7612, 476, 1428, 269, 272, 269, 273, 20976, 26305, 519, 4320, 896, 513, 2627, 269, 594, 729, 2111, 547, 1265, 513, 5595, 7533, 9498, 2228, 855, 594, 12882, 19050, 22935, 590, 13446, 267, 12744, 568, 4867, 28998, 269, 1923, 260, 383, 505, 348, 383, 378, 382, 486, 383, 362, 280, 10378, 25771, 9809, 383, 379, 343, 307, 9943, 644, 383, 375, 383, 377, 383, 378, 477, 383, 492, 383, 379, 292, 304, 7564, 383, 488, 328, 383, 377, 262, 477, 9063, 17845, 6759, 383, 379, 329, 25771, 383, 362, 28462, 382, 359, 382, 359, 285, 382, 492, 382, 497, 1109, 382, 480, 5889, 280, 18033, 12953, 18033, 21417, 10378, 383, 497, 11054, 347, 383, 479, 304, 266, 12788, 383, 361, 382, 483, 326, 383, 361, 30755, 309, 383, 492, 306, 383, 503 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 7689, 281, 4197, 24251, 543, 1215, 3776, 645, 3672, 6713, 12085, 692, 5970, 596, 2479, 4862, 540, 519, 2262, 834, 5417, 2109, 22172, 898, 781, 950, 2576, 8952, 3257, 1945, 1256, 952, 621, 781, 5739, 547, 873, 269, 901, 666, 4755, 609, 1082, 1919, 267, 1519, 7296, 13189, 267, 6704, 1932, 1454, 14614, 267, 4730, 3381, 3756, 585, 1279, 3108, 267, 610, 1210, 6878, 899, 17089, 269, 4653, 267, 649, 786, 1451, 827, 1018, 4523, 538, 938, 4703, 950, 649, 6338, 6878, 899, 17089, 543, 1946, 29655, 666, 581, 4101, 780, 5575, 267, 1577, 781, 2911, 827, 17073, 593, 14136, 3047, 267, 513, 2442, 17581, 5950, 538, 476, 1960, 274, 676, 513, 1895, 1572, 834, 763, 15952, 1715, 1261, 822, 625, 1701, 1411, 1522, 4898, 1946, 649, 2811, 7234, 2575, 538, 513, 2257, 3992, 282, 1134, 267, 835, 2601, 568, 602, 1620, 519, 2796, 2337, 721, 5660, 519, 2591, 930, 12372, 5185, 1282, 602, 942, 269, 5565, 4583, 8964, 689, 602, 17581, 267, 834, 289, 27172, 2659, 9650, 257, 543, 834, 32451, 8479, 547, 12603, 2437, 2968, 5458, 16125, 269, 1717, 267, 891, 8964, 14201, 1405, 1175, 6952, 344, 26107, 9789, 344, 849, 12006, 1271, 2518, 4145, 543, 2123, 4656, 269, 1452, 4798, 1921, 5702, 609, 2221, 781, 4901, 2094, 789, 1419, 9305, 547, 6219, 946, 543, 922, 4539, 780, 3086, 267, 1394, 547, 8213, 269, 1879, 1004, 1831, 29279, 547, 513, 6219, 899, 17089, 267, 741, 12058, 1376, 547, 7048, 593, 621, 267, 1818, 621, 2182, 547, 3247, 269, 5994, 2141, 17596, 513, 1880, 8137, 540, 4672, 8645, 1169, 1554, 1310, 1153, 269, 2311, 1101, 267, 621, 949, 3100, 1187, 543, 20027, 267, 855, 936, 942, 267, 707, 1560, 26770, 621, 267, 4929, 11605, 952, 596, 1810, 1405, 1205, 621, 269, 5381, 1919, 2049, 609, 811, 3978, 6878, 269, 27915, 1863, 689, 713, 4783, 3340, 8990, 267, 1489, 267, 543, 6616, 875, 938, 4703, 1184, 891, 2326, 780, 2691, 649, 8532, 6878, 630, 3697, 1346, 1336, 538, 1978, 6527, 267, 1426, 267, 610, 17089, 1070, 938, 6797, 1568, 24091, 547, 6882, 873, 269, 6884, 267, 15244, 2611, 538, 938, 1949, 267, 799, 5012, 721, 547, 1589, 602, 2656, 3435, 267, 899, 19140, 10425, 267, 2291, 269, 10251, 267, 972, 3884, 1405, 513, 2241, 1259, 547, 14678, 9004, 782, 24790, 269, 3807, 607, 649, 3112, 2973, 572, 938, 3003, 4703, 5612, 1310, 4189, 22938, 1426, 267, 9427, 13311, 22016, 689, 938, 1949, 3217, 942, 269, 2334, 781, 1946, 3075, 4255, 1413, 585, 29886, 2609, 2864, 982, 7525, 4527, 780, 1103, 5758, 267, 8213, 3322, 6878, 7133, 938, 12058, 11874, 267, 2870, 21341, 269, 2755, 14874, 2963, 540, 6219, 946, 689, 938, 4703, 568, 2352, 267, 1373, 3222, 540, 891, 3157, 6770, 721, 6251, 547, 4543, 6000, 543, 1866, 945, 6560, 609, 8213, 269, 1635, 5885, 1142, 824, 543, 5009, 2635, 5079, 267, 649, 1711, 2318, 1689, 543, 17362, 519, 1259, 2509, 1732, 3664, 3823, 938, 2949, 8171, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1445, 540, 713, 2376, 568, 711, 547, 11000, 596, 827, 17089, 946, 10625, 519, 621, 568, 3983, 267, 6862, 568, 621, 827, 606, 1367, 606, 5473, 4388, 602, 596, 1522, 1616, 7753, 26351, 1317, 1247, 602, 568, 1271, 875, 547, 19944, 826, 1494, 814, 1945, 1454, 9962, 596, 1590, 4487, 1354, 596, 4019, 1022, 2409, 547, 10726, 26351, 543, 707, 8213, 8345, 1547, 8404, 2336, 28770, 11765, 2201, 14136, 3047, 267, 741, 26813, 17581, 729, 2907, 5950, 538, 476, 1960, 274, 543, 1131, 581, 513, 7372, 5177, 543, 2974, 5734, 269, 11822, 540, 519, 17581, 568, 14356, 1813, 547, 519, 5214, 3037, 2206, 956, 645, 869, 2659, 2634, 543, 18320, 8479, 1677, 12603, 269, 16680, 1159, 14414, 519, 5750, 543, 4682, 547, 1948, 272, 269, 16680, 568, 1759, 2390, 1582, 9637, 543, 1158, 2152, 563, 2467, 13907, 540, 19140, 2305, 2472, 2139, 543, 2015, 581, 3206, 596, 1223, 6157, 23574, 856, 5061, 2476, 689, 707, 1062, 16425, 269, 1403, 971, 941, 519, 2013, 267, 1287, 972, 729, 1100, 1747, 585, 3075, 4152, 538, 713, 1158, 269, 5489, 2135, 2305, 2472, 267, 899, 3935, 18274, 619, 267, 666, 8197, 23574, 856, 13802, 543, 824, 17694, 538, 938, 536, 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, 589, 1906, 1296, 3516, 267, 594, 630, 1789, 300, 1070, 606, 28048, 32529, 543, 2825, 27423, 267, 1336, 8885, 6849, 606, 6397, 32252, 3512, 269, 3733, 7385, 543, 594, 1185, 1044, 1818, 6857, 3646, 547, 7413, 938, 3327, 11640, 998, 1585, 1797, 971, 607, 1210, 1648, 18026, 14233, 267, 5969, 1394, 593, 2699, 5779, 4616, 267, 543, 9001, 1857, 6283, 8164, 2009, 269, 1284, 941, 849, 10583, 18793, 540, 2199, 6705, 262, 6990, 543, 3576, 12257, 538, 3395, 938, 1378, 5388, 693, 1753, 269, 1717, 267, 972, 729, 835, 1858, 1141, 649, 17388, 910, 5883, 938, 1426, 3653, 269, 6736, 938, 1655, 8942, 693, 7594, 4058, 267, 649, 1869, 8694, 909, 1167, 8973, 24401, 6150, 3132, 1169, 3018, 269, 901, 562, 698, 3101, 3390, 3366, 803, 1524, 513, 15529, 8559, 2509, 12423, 606, 8966, 3070, 780, 3080, 1554, 267, 1247, 829, 6748, 1250, 5172, 1016, 1042, 9016, 6131, 547, 4264, 2713, 267, 594, 16686, 2390, 513, 2022, 827, 645, 758, 20076, 18829, 267, 513, 5545, 1505, 540, 8497, 5214, 3653, 998, 2067, 15451, 2962, 269, 2271, 29098, 267, 594, 4956, 547, 2285, 621, 513, 2119, 269, 2991, 782, 267, 1018, 1705, 594, 723, 547, 6336, 4849, 585, 811, 27315, 1540, 16719, 543, 2695, 880, 344, 14274, 2496, 296, 10288, 513, 645, 758, 20076, 19943, 2228, 267, 799, 8452, 609, 2143, 5528, 593, 875, 547, 1711, 513, 14762, 1604, 585, 519, 834, 324, 8997, 14471, 257, 2838, 585, 3811, 18829, 269, 661, 4526, 547, 1205, 3323, 267, 594, 4904, 519, 19943, 609, 6106, 540, 10448, 29578, 267, 6995, 12406, 267, 543, 4839, 6404, 609, 12387, 13293, 630, 1492, 1426, 2707, 585, 1346, 6225, 17973, 1040, 5272, 7008, 540, 2395, 267, 594, 1131, 3575, 3388, 8499, 543, 2046, 1524, 16119, 547, 9004, 1022, 2011, 22836, 1354, 4946, 4195, 3653, 2326, 269, 6969, 1279, 267, 519, 1184, 2968, 2034, 2470, 282, 4166, 2614, 267, 594, 8068, 1945, 9058, 8345, 1369, 519, 19943, 780, 288, 15116, 9329, 3459, 32338, 908, 689, 519, 8708, 1107, 6653, 267, 11877, 267, 543, 5594, 23931, 855, 2760, 2322, 5090, 610, 18473, 269, 898, 18056, 803, 540, 519, 11114, 737, 574, 14024, 1250, 20516, 1031, 547, 1118, 1282, 4832, 11564, 950, 594, 729, 1762, 269, 1677, 1250, 993, 10270, 618, 267, 1310, 1079, 4374, 540, 30190, 5826, 267, 519, 9115, 9927, 883, 4158, 267, 3638, 267, 543, 23599, 2339, 31523, 609, 1272, 269, 4340, 547, 519, 4808, 267, 594, 12617, 891, 8770, 11656, 12074, 2047, 883, 519, 3037, 1472, 1250, 2371, 269, 10738, 2395, 267, 789, 8604, 18668, 982, 2479, 256, 2657, 1512, 3762, 17708, 1540, 6385, 267, 18742, 8057, 3677, 267, 543, 2949, 25525, 4824, 3648, 780, 4913, 267, 1175, 607, 594, 2219, 594, 1185, 27058, 519, 1148, 540, 645, 758, 20076, 18829, 267, 1776, 4161, 4843, 3294, 269, 12389, 538, 606, 19887, 1950, 5921, 3908, 2230, 585, 3276, 10118, 267, 865, 594, 759, 9285, 547, 4687, 1250, 21045, 609, 12543, 945, 14952, 539, 693, 519, 18932, 1145, 540, 1250, 4677, 3379, 547, 741, 10010, 1494, 1540, 2371, 269, 17652, 2614, 267, 2262, 3262, 2429, 519, 2679, 267, 3056, 547, 13668, 585, 11925, 3450, 1866, 875, 547, 2936, 741, 1378, 645, 758, 20076, 1949, 780, 7437, 891, 4205, 267, 594, 7691, 602, 1367, 3527, 1223, 8197, 8141, 7104, 1689, 269, 1635, 5807, 7279, 543, 8716, 17634, 1851, 8284, 7264, 267, 1927, 649, 4389, 938, 7622, 1426, 3653, 1247, 8195, 23429, 938, 4683, 5117, 269, 5047, 267, 17052, 19806, 15701, 936, 3838, 2418, 543, 2833, 267, 8108, 513, 11215, 3060, 12082, 538, 6940, 543, 8994, 2463, 780, 1607, 3460, 6026, 803, 602, 8508, 13395, 4690, 267, 1256, 952, 9583, 28031, 5652, 610, 21372, 267, 666, 1291, 547, 7096, 5222, 1312, 13948, 543, 1209, 958, 269, 2060, 17409, 543, 8990, 267, 649, 8214, 1194, 606, 6382, 18447, 1966, 267, 13321, 621, 3079, 883, 15417, 2666, 585, 2208, 543, 4276, 269, 1306, 15156, 585, 2916, 2962, 267, 1577, 721, 3136, 4466, 3860, 3435, 547, 2232, 10296, 2591, 267, 11121, 4126, 543, 9322, 2059, 519, 1259, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 18658, 616, 519, 1034, 2500, 2994, 585, 2043, 547, 2569, 741, 3327, 11640, 543, 3565, 547, 5466, 2916, 1689, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 666, 2303, 930, 2994, 585, 2043, 547, 2569, 741, 3327, 11640, 543, 3565, 547, 5466, 2916, 1689, 1384, 272, 269, 21079, 1648, 4616, 676, 1210, 1648, 18026, 14233, 267, 7432, 1055, 8279, 543, 11418, 950, 711, 538, 946, 267, 543, 796, 680, 1872, 5056, 619, 950, 711, 538, 946, 780, 273, 269, 21079, 5779, 4616, 610, 6467, 547, 513, 2030, 2861, 2732, 547, 2569, 519, 3327, 5434, 2404, 609, 3662, 6683, 780, 274, 269, 21079, 6283, 5434, 676, 6972, 267, 31610, 267, 1210, 1857, 6283, 267, 610, 6117, 513, 4492, 18026, 6174, 780, 275, 269, 3117, 2925, 1216, 676, 2921, 10156, 29636, 267, 21338, 20984, 267, 543, 1210, 1970, 32704, 21818, 26892, 780, 276, 269, 21079, 3653, 676, 24600, 1426, 29578, 267, 9657, 267, 543, 4227, 2582, 14025, 5068, 4616, 676, 1210, 23431, 11435, 267, 11149, 267, 543, 1216, 14569, 780, 277, 269, 8081, 7791, 1648, 676, 16459, 3859, 8440, 267, 24101, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 1262, 16605, 2659, 5269, 1575, 689, 24613, 14068, 281, 589, 18043, 6651, 4373, 8702, 547, 713, 3573, 5850, 593, 4509, 707, 17539, 781, 2298, 543, 14178, 922, 15808, 1272, 269, 901, 3391, 568, 2966, 4481, 585, 2043, 609, 2370, 547, 1100, 1991, 1702, 540, 519, 1158, 610, 1480, 4205, 269, 1284, 3513, 1491, 596, 998, 1169, 1900, 267, 7713, 1142, 2962, 538, 22111, 1469, 267, 865, 596, 666, 18390, 1416, 585, 707, 30143, 780, 1262, 3721, 476, 272, 281, 15188, 2659, 5269, 1575, 7743, 569, 630, 16498, 19983, 281, 30047, 29597, 619, 21143, 2414, 2253, 267, 12398, 519, 11149, 8066, 707, 17539, 2472, 269, 1452, 949, 1331, 13740, 267, 735, 9711, 267, 5493, 22863, 267, 610, 14569, 1500, 540, 1585, 2326, 899, 5068, 267, 4837, 267, 610, 4496, 269, 28528, 9787, 519, 8708, 1210, 1312, 3946, 267, 1818, 2386, 711, 547, 5905, 1022, 23761, 610, 7252, 602, 2097, 883, 3346, 609, 519, 1587, 3330, 780, 265, 15579, 519, 8708, 16119, 855, 29535, 2299, 267, 607, 952, 524, 2784, 1782, 606, 4212, 563, 265, 6875, 4063, 540, 519, 3337, 267, 2450, 267, 543, 2597, 540, 519, 8708, 267, 799, 786, 948, 596, 6023, 621, 9108, 780, 22512, 2685, 1747, 519, 8708, 593, 513, 6366, 2627, 267, 971, 607, 513, 4831, 9008, 610, 3349 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14525, 538, 476, 1001, 279, 267, 945, 986, 6244, 543, 7166, 2021, 689, 476, 3192, 277, 547, 476, 3192, 280, 269, 17318, 6368, 5462, 519, 27521, 950, 789, 4362, 513, 9864, 6474, 585, 519, 5027, 1336, 693, 519, 6760, 6429, 1369, 513, 3732, 593, 717, 3633, 332, 2255, 269, 1358, 1287, 7522, 539, 741, 3406, 547, 713, 1268, 779, 14077, 543, 4857, 9478, 6276, 1546, 17951, 601, 334, 607, 519, 13642, 3557, 918, 14525, 269, 9282, 930, 688, 6150, 713, 607, 606, 11141, 9740, 540, 4719, 2062, 985, 923, 267, 1866, 4718, 621, 607, 513, 5906, 18670, 540, 1546, 17951, 601, 334, 779, 1318, 547, 7834, 543, 19549, 14821, 20038, 563, 10214, 811, 19838, 2958, 1190, 28407, 540, 4719, 5444, 30688, 723, 3144, 1747, 538, 2487, 1296, 269, 769, 11908, 538, 476, 1001, 279, 267, 1079, 3713, 1161, 3357, 909, 547, 661, 32642, 29385, 3544, 1200, 2777, 543, 4280, 585, 1200, 5027, 269, 1358, 6045, 602, 789, 941, 12394, 547, 2697, 1480, 3788, 1336, 538, 8419, 602, 789, 16143, 941, 1644, 547, 1200, 269, 29385, 931, 5034, 543, 4847, 519, 3713, 1161, 547, 2220, 629, 1200, 32336, 269, 17963, 2663, 267, 1352, 4362, 602, 891, 3713, 1161, 1185, 561, 1221, 547, 1200, 281, 1358, 941, 711, 2965, 7114, 3788, 855, 2864, 3843, 547, 1628, 513, 2013, 1996, 1200, 5067, 676, 12805, 1010, 5027, 547, 513, 3732, 1336, 693, 513, 6760, 6429, 269, 29385, 5433, 20729, 539, 676, 891, 7128, 10492, 543, 5156, 602, 1352, 729, 711, 5483, 2614, 547, 581, 2111, 547, 9844, 547, 519, 3732, 4015, 269, 634, 3668, 540, 5483, 9844, 538, 713, 3510, 14550, 602, 267, 1510, 7453, 6042, 593, 4719, 1239, 4015, 267, 1876, 11268, 786, 29875, 4961, 685, 7834, 2924, 563, 1103, 476, 1708, 272, 267, 23497, 543, 15930, 2968, 519, 1101, 1079, 2829, 547, 1780, 4031, 28142, 543, 15725, 519, 946, 540, 4719, 5444, 30688, 676, 1876, 11268, 8041, 269, 769, 15930, 267, 519, 1007, 9086, 2636, 519, 8671, 545, 547, 1152, 581, 1031, 538, 13753, 540, 3978, 10963, 899, 12638, 543, 22149, 267, 3340, 513, 9794, 779, 1129, 4752, 267, 543, 7182, 519, 22602, 547, 1210, 1152, 5444, 30688, 7270, 602, 1246, 1808, 7834, 4507, 269, 634, 23497, 1876, 568, 1256, 811, 25516, 281, 15766, 2209, 1590, 581, 9783, 513, 3406, 15549, 1354, 13844, 3406, 2164, 689, 513, 7082, 5027, 6538, 8259, 519, 1344, 568, 689, 513, 7082, 945, 814, 5892, 3649, 1882, 741, 1318, 547, 7834, 269, 1452, 4031, 2709, 513, 31387, 585, 824, 2829, 3168, 547, 16102, 519, 946, 540, 4719, 1239, 676, 1876, 11268, 563, 7212, 891, 1007, 1533, 4031, 616, 513, 1900, 538, 519, 1318, 4287, 267, 789, 616, 711, 2614, 547, 18113, 2149, 938, 10257, 20772, 540, 7834, 269, 1452, 4031, 1445, 5097, 593, 519, 946, 540, 5027, 5439, 269, 1717, 267, 835, 540, 519, 7887, 6937, 547, 938, 4909, 7834, 2924, 2501, 689, 519, 1360, 1249, 602, 1876, 11268, 25173, 891, 5439, 538, 519, 1101, 1747, 269, 6837, 1590, 6338, 9086, 8506, 1533, 543, 2199, 6608, 547, 9772, 2147, 4441, 547, 1346, 540, 519, 5027, 22384, 2920, 540, 476, 1960, 275, 269, 3958, 267, 4719, 5444, 30688, 1058, 581, 811, 8185, 14931, 547, 2061, 1022, 2009, 6057, 676, 1876, 11268, 269, 2311, 513, 5934, 267, 519, 2229, 1058, 1780, 18487, 9993, 28330, 547, 1346, 538, 519, 15930, 543, 23497, 4031, 269, 1403, 519, 5313, 2229, 14543, 547, 957, 267, 1100, 835, 538, 519, 2197, 666, 581, 8746, 602, 741, 4719, 1239, 568, 711, 1373, 6740, 12341, 538, 513, 2229, 6538, 269, 0, 291, 7631, 545, 4144, 293, 5142, 1723, 15354, 538, 9628, 538, 476, 3422, 273, 267, 593, 513, 968, 339, 3637, 892, 7084, 547, 948, 29428, 7969, 5794, 10414, 15794, 531, 898, 14900, 7195, 2692, 779, 4583, 8184, 1934, 689, 7507, 563, 5415, 982, 513, 3368, 10601, 2663, 267, 4144, 293, 5142, 1723, 1336, 5128, 8165, 547, 4688, 519, 2012, 540, 7195, 2692, 20000, 689, 1018, 646, 1572, 968, 1492, 8914, 539, 13504, 6202, 540, 14469, 626, 1686, 1848, 769, 1063, 267, 646, 13084, 16845, 519, 3965, 540, 18332, 19090, 269, 1261, 22309, 32616, 673, 26007, 540, 7969, 4254, 9094, 269, 1656, 267, 646, 1500, 9628, 1010, 1753, 563, 763, 5065, 540, 1715, 3840, 945, 7153, 607, 968, 320, 6205, 543, 22557, 2006, 585, 519, 7969, 12677, 2146, 892, 538, 9628, 5747, 10732, 540, 8374, 689, 28623, 267, 1010, 1178, 2738, 517, 5143, 519, 9628, 6129, 6874, 1307, 269, 4144, 293, 5142, 1723, 729, 476, 5952, 563, 27144, 1325, 5586, 337, 7236, 267, 10324, 13030, 7022, 540, 519, 2817, 7969, 1977, 7690, 267, 1572, 4144, 293, 5142, 1723, 968, 320, 9649, 538, 9628, 779, 7969, 2146, 267, 543, 594, 1131, 979, 865, 2484, 607, 547, 2161, 602, 646, 729, 513, 9649, 1851, 782, 6803, 2950, 538, 9628, 3034, 6546, 779, 1317, 4144, 293, 5142, 1723, 779, 960, 729, 711, 16876, 547, 519, 7969, 12677, 2146, 269, 4144, 293, 5142, 1723, 968, 531, 1811, 3357, 547, 519, 8878, 543, 5351, 540, 824, 2516, 602, 646, 5433, 941, 1373, 5806, 3990, 1996, 15490, 569, 2223, 1325, 5586, 337, 7236, 1767, 563, 13312, 293, 5142, 1723, 779, 1178, 2738, 517, 267, 17131, 638, 1446, 18067, 545, 717, 1014, 14269, 267, 15422, 1010, 22516, 607, 968, 320, 3677, 982, 1272, 1268, 892, 945, 968, 339, 31189, 543, 5280, 865, 1082, 1004, 3034, 2108, 6546, 729, 519, 22294, 540, 1010, 6228, 267, 2731, 267, 729, 4543, 1004, 2223, 717, 1014, 14269, 1767, 563, 13312, 293, 5142, 1723, 849, 5129, 513, 1883, 1909, 538, 8497, 519, 2012, 540, 7195, 2692, 20000, 267, 1519, 2063, 1032, 950, 620, 323, 1069, 523, 6700, 15646, 5446, 519, 8265, 585, 3540, 2924, 12835, 594, 6767, 645, 269, 28243, 269, 634, 2749, 1131, 3079, 556, 4067, 6837, 5244, 3118, 538, 28243, 685, 8956, 563, 763, 11786, 7195, 2692, 2968, 4583, 585, 3056, 476, 1839, 8484, 2066, 519, 3345, 9533, 547, 9628, 1282, 519, 11416, 540, 18776, 2622, 779, 12876, 538, 476, 4350, 274, 269, 1261, 849, 5280, 3142, 3673, 626, 9598, 1807, 5484, 17010, 631, 1380, 565, 7236, 547, 1379, 538, 476, 4572, 273, 563, 23562, 4868, 5991, 710, 1296, 1310, 7195, 2692, 779, 4583, 8184, 547, 9628, 267, 519, 7969, 29617, 1325, 1388, 807, 4956, 547, 29428, 7195, 2692, 779, 15385, 609, 922, 1378, 22305, 1116, 8184, 1063, 9628, 543, 7507, 269, 4144, 293, 5142, 1723, 3357, 1934, 543, 4421, 519, 2856, 547, 1287, 5336, 599, 528, 9400, 269, 808, 269, 667, 1446, 344, 267, 945, 5143, 1864, 267, 968, 9767, 978, 812, 267, 519, 1788, 602, 596, 4076, 1175, 4330, 568, 1631, 519, 3959, 540, 519, 4975, 540, 9628, 2223, 2687, 547, 717, 1014, 14269, 563, 23562, 10679, 2367, 945, 2899, 24363, 609, 7195, 2692, 1500, 519, 22116, 1586, 538, 476, 3422, 273, 269, 1358, 941, 535, 9643, 538, 9628, 267, 1141, 789, 941, 2016, 8956, 776, 15114, 538, 519, 4975, 7027, 20830, 269, 7195, 2692, 1185, 2094, 5747, 563, 5415, 5063, 267, 972, 723, 1044, 3646, 547, 28103, 9628, 540, 7195, 2692, 779, 2012, 1317, 540, 1010, 13218, 547, 631, 1380, 565, 7236, 269, 3807, 2063, 1032, 267, 620, 323, 1069, 523, 6069, 15646, 5446, 7195, 2692, 20000, 585, 28243, 269, 4144, 293, 5142, 1723, 267, 945, 676, 1287, 1185, 1831, 7022, 900, 518, 7978, 540, 519, 17434, 595, 15960, 9730, 540, 7969, 31787, 267, 14593, 1394, 269, 1261, 1767, 646, 1131, 711, 1450, 7195, 2692, 779, 968, 15759, 1537, 851, 540, 9628, 1686, 892, 547, 581, 15490, 569, 1159, 18193, 563, 14071, 4076, 2907, 8810, 602, 646, 729, 538, 1100, 1259, 4448, 609, 4550, 4149, 30146, 2223, 4144, 293, 5142, 1723, 1767, 563, 2108, 2691, 631, 1380, 565, 7236, 5293, 4550, 4149, 655, 12792, 4031, 538, 7977, 267, 7195, 2692, 1843, 539, 676, 2921, 782, 540, 1010, 6014, 2828, 547, 12129, 693, 513, 1857, 13962, 269, 1261, 849, 8231, 958, 543, 4938, 958, 10353, 4550, 4149, 655, 12792, 4031, 269, 1306, 513, 1267, 267, 646, 729, 2366, 547, 8644, 5984, 269, 4107, 1004, 2161, 646, 729, 8929, 1524, 676, 631, 1380, 565, 7236, 779, 4229, 543, 7166, 538, 1931, 547, 16563, 1864, 3034, 294, 1014, 14269, 1767, 621, 729, 513, 2014, 1010, 22516, 5156, 538, 865, 1454, 646, 16219, 968, 604, 621, 3357, 547, 621, 646, 1131, 5832, 5128, 547, 519, 8265, 1129, 3034, 13312, 293, 5142, 1723, 849, 2968, 513, 25411, 4875, 1219, 2658, 540, 18332, 19090, 543, 6603, 1455, 2666, 609, 7111, 4892, 538, 476, 1960, 273, 267, 476, 4335, 1296, 1310, 19090, 8452, 538, 3013, 269, 4144, 293, 5142, 1723, 10138, 909, 10707, 609, 7111, 1977, 3401, 547, 7977, 2443, 3842, 1325, 1388, 807, 5794, 6050, 2443, 543, 930, 540, 873, 1256, 1185, 606, 5304, 609, 519, 28831, 563, 294, 1014, 14269, 1767, 789, 968, 576, 14896, 730, 543, 1743, 1678, 9174, 543, 561, 13774, 1117, 1848, 1261, 1767, 267, 968, 7474, 729, 1175, 1010, 1259, 2443, 1175, 8380, 1004, 1927, 543, 6061, 2042, 3034, 2704, 5586, 337, 7236, 1767, 4144, 293, 5142, 1723, 968, 17495, 606, 3592, 679, 9871, 14037, 1702, 540, 519, 7418, 602, 7977, 814, 1500, 547, 519, 1158, 1848, 1261, 1767, 4144, 293, 5142, 1723, 968, 18677, 519, 28402, 540, 519, 1004, 945, 1185, 2016, 865, 1454, 4389, 547, 17729, 607, 4254, 9094, 267, 7683, 267, 538, 8613, 543, 7260, 26007, 3034, 1103, 1840, 547, 717, 1014, 14269, 267, 4144, 293, 5142, 1723, 568, 15068, 676, 1010, 7385, 8349, 700, 1478, 1372, 4144, 293, 5142, 1723, 267, 8250, 715, 2088, 631, 4115, 334, 543, 1200, 9393, 267, 7917, 267, 543, 19946, 25844, 11253, 590, 7595, 22088, 543, 8402, 320, 12910, 7236, 269, 717, 1014, 14269, 849, 4330, 1864, 607, 513, 968, 326, 617, 15289, 543, 11515, 547, 1082, 2560, 543, 3659, 540, 9118, 3034, 288, 12687, 568, 9709, 689, 29869, 547, 476, 279, 533, 6230, 269, 13638, 693, 634, 1744, 9068, 540, 3776, 15248, 540, 25048, 701, 4512, 267, 476, 14338, 275, 4639, 22858, 15838, 269, 4144, 293, 5142, 1723, 779, 24133, 568, 1305, 585, 476, 1015, 513, 6230, 269, 13723, 267, 849, 693, 634, 1744, 9068, 540, 3776, 15248, 540, 25048, 701, 4512, 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 ]
[ 1346, 2533, 563, 4517, 1018, 568, 1631, 4657, 5310, 811, 6385, 982, 4896, 1223, 723, 16545, 1256, 513, 1906, 1296, 3516, 568, 519, 2470, 540, 519, 2078, 1063, 891, 1648, 2533, 543, 519, 3119, 1648, 2390, 799, 789, 7048, 563, 763, 2601, 585, 713, 1689, 568, 602, 519, 7036, 7891, 1500, 2009, 538, 519, 2250, 476, 1220, 1296, 676, 519, 10868, 267, 4393, 267, 543, 4859, 540, 8093, 10173, 2097, 693, 606, 2825, 3902, 3152, 982, 4896, 7691, 269, 19634, 333, 827, 2916, 1689, 814, 3366, 547, 519, 1646, 540, 4244, 2959, 540, 1648, 269, 634, 2470, 540, 891, 4244, 2959, 568, 16550, 513, 1689, 538, 519, 2470, 540, 519, 2347, 1648, 1062, 269, 1280, 4352, 972, 568, 2614, 29932, 811, 982, 2614, 1765, 14749, 4390, 267, 519, 13260, 540, 930, 540, 519, 1883, 2959, 540, 7791, 5108, 3379, 547, 2757, 2959, 786, 5397, 513, 991, 585, 1007, 1062, 25121, 547, 2327, 3354, 540, 3761, 693, 513, 10257, 1942, 563, 3080, 3070, 568, 547, 1847, 547, 513, 811, 8465, 3575, 540, 10451, 2200, 269, 3204, 22399, 616, 6236, 24539, 14565, 630, 7945, 607, 4390, 6990, 264, 543, 7580, 10451, 14425, 269, 1809, 607, 2048, 8243, 691, 14233, 685, 616, 18202, 856, 543, 1007, 543, 23349, 5716, 1205, 538, 519, 3014, 267, 6800, 2933, 949, 1831, 1883, 5716, 538, 3850, 3747, 547, 3950, 8795, 3761, 1759, 593, 519, 6385, 9687, 2048, 514, 1181, 564, 540, 1919, 10200, 898, 949, 2490, 856, 602, 519, 2025, 17565, 540, 513, 21438, 1379, 7470, 1793, 822, 880, 569, 1739, 3747, 585, 1648, 2533, 786, 1100, 3476, 581, 1454, 540, 513, 11064, 563, 8005, 786, 2508, 519, 2556, 9541, 538, 891, 5499, 21870, 543, 14233, 267, 538, 13321, 519, 5108, 3575, 543, 538, 5710, 1963, 286, 3509, 540, 519, 2757, 20848, 723, 1427, 8972, 689, 9541, 538, 6671, 1379, 5108, 267, 1247, 789, 616, 849, 2938, 547, 581, 5969, 1394, 9541, 538, 7791, 5108, 269, 12465, 10685, 14273, 723, 7152, 3908, 4390, 547, 22499, 741, 2078, 609, 741, 5561, 269, 4024, 1007, 5716, 1900, 538, 286, 1548, 786, 581, 741, 1870, 3631, 888, 1103, 1082, 2477, 267, 1648, 3790, 616, 2810, 269, 1703, 616, 1082, 4128, 585, 713, 267, 1519, 519, 1942, 540, 13868, 10172, 5989, 630, 514, 2919, 6990, 264, 610, 2679, 1007, 5989, 630, 514, 3384, 6990, 1070, 8375, 4492, 3790, 267, 9204, 267, 24307, 267, 543, 2825, 7939, 269, 634, 1439, 1267, 568, 602, 519, 16756, 532, 1942, 540, 1582, 23418, 569, 3681, 971, 607, 22425, 923, 568, 593, 513, 16580, 1576, 609, 519, 8375, 1942, 540, 4797, 16126, 593, 21438, 1379, 5121, 563, 4263, 519, 1482, 942, 267, 6800, 616, 2907, 10115, 585, 513, 2039, 540, 1114, 4128, 269, 6168, 476, 736, 2600, 540, 519, 1804, 1379, 3755, 538, 5125, 723, 1500, 9541, 538, 22425, 923, 267, 5916, 3002, 543, 1379, 267, 610, 1648, 4859, 547, 2743, 741, 1648, 2115, 269, 2422, 540, 519, 21438, 3060, 568, 7444, 2144, 5317, 543, 930, 5561, 723, 1256, 6410, 547, 2048, 12827, 519, 10260, 685, 15587, 676, 4946, 2199, 4859, 1949, 547, 741, 1378, 7791, 1648, 2959, 563, 2691, 5561, 6430, 547, 979, 4625, 1055, 3766, 5090, 267, 513, 4241, 1198, 3217, 1747, 281, 585, 519, 6967, 5561, 267, 3790, 547, 946, 519, 3844, 1062, 2333, 267, 24254, 1256, 811, 5561, 547, 979, 1055, 3766, 5090, 269, 1924, 519, 10073, 540, 1582, 23418, 569, 267, 585, 3236, 689, 25675, 1949, 267, 5036, 538, 5163, 513, 4075, 6681, 5858, 538, 799, 519, 16912, 1632, 540, 2048, 1037, 7308, 12641, 1442, 267, 4652, 9116, 1229, 1569, 547, 21438, 2504, 543, 6765, 1949, 786, 1831, 2479, 811, 14427, 29932, 1447, 3020, 563, 3719, 513, 2347, 2048, 1372, 987, 18700, 685, 3056, 547, 519, 10205, 618, 540, 782, 3844, 1379, 5108, 4667, 12691, 585, 519, 2062, 5408, 762, 2104, 267, 607, 972, 786, 2611, 513, 1804, 4295, 540, 5561, 585, 7247, 2469, 1055, 519, 7470, 568, 711, 1360, 2653, 281, 2749, 17743, 619, 269, 1306, 513, 1267, 267, 2242, 538, 7082, 7375, 543, 3604, 538, 7082, 6381, 786, 581, 1558, 676, 581, 513, 11931, 6908, 540, 1007, 1303, 7847, 5356, 5499, 2533, 1765, 21865, 609, 1870, 3631, 1360, 1114, 689, 1346, 540, 519, 1651, 3518, 757, 269, 769, 1648, 267, 891, 2533, 2039, 689, 9803, 21057, 17008, 547, 14167, 3039, 2472, 269, 1809, 1007, 1303, 7847, 616, 849, 6932, 538, 519, 1858, 540, 1379, 3937, 269, 7353, 19661, 923, 9755, 543, 3888, 619, 267, 14104, 3549, 267, 1648, 10380, 3549, 1765, 26421, 540, 873, 568, 3843, 547, 1205, 2673, 547, 519, 7082, 563, 1607, 7678, 568, 3478, 948, 689, 22124, 5461, 538, 4758, 6800, 3681, 585, 9013, 741, 3790, 543, 2959, 540, 1648, 269, 1280, 3236, 267, 513, 1007, 1876, 538, 4993, 814, 2813, 2048, 10919, 640, 3903, 30843, 685, 630, 6717, 288, 1040, 901, 1797, 602, 17521, 666, 22617, 1852, 540, 1379, 27147, 689, 741, 26771, 10626, 269, 3057, 514, 6019, 630, 28134, 281, 476, 25228, 267, 1822, 264, 2813, 3057, 514, 11162, 6052, 267, 543, 12312, 5448, 6019, 630, 28134, 912, 5392, 272, 267, 1822, 264, 2813, 12312, 5448, 11162, 5295, 269, 634, 2749, 540, 645, 30629, 267, 12548, 267, 814, 5063, 20366, 547, 694, 1027, 324, 689, 519, 2199, 26771, 8502, 538, 1931, 547, 1852, 922, 1378, 1648, 5079, 267, 609, 519, 13170, 540, 1533, 22124, 269, 1452, 616, 2199, 1379, 8041, 602, 3343, 547, 23144, 14949, 543, 15777, 1379, 982, 789, 941, 3478, 998, 741, 2025, 10626, 563, 294, 919, 2647, 1930, 454, 1432, 1131, 513, 4625, 18228, 1648, 5823, 1413, 899, 286, 1548, 6013, 3564, 519, 6654, 3466, 540, 811, 4398, 543, 811, 5710, 1963, 888, 1103, 267, 2161, 267, 476, 1708, 276, 596, 1522, 1688, 1790, 1157, 707, 1648, 2707, 538, 707, 8378, 269, 1325, 2819, 267, 585, 3236, 267, 513, 10656, 2754, 1572, 2048, 309, 534, 632, 11487, 685, 630, 8072, 5804, 519, 2707, 32426, 2636, 10656, 6800, 547, 1294, 799, 3859, 267, 2842, 267, 5916, 3002, 543, 1379, 267, 610, 824, 1648, 2707, 6818, 538, 741, 25610, 543, 4444, 741, 1648, 689, 972, 269, 21344, 2533, 616, 3177, 676, 519, 3060, 11346, 269, 3143, 2757, 10685, 518, 18795, 1063, 519, 7082, 543, 519, 16073, 269, 6052, 5108, 3587, 607, 5857, 762, 607, 25778, 3101, 998, 5794, 289, 333, 289, 610, 6517, 998, 10370, 1111, 269, 1656, 899, 891, 9263, 3562, 24406, 518, 5867, 267, 621, 4667, 3592, 17149, 602, 930, 1007, 1303, 7949, 786, 3343, 547, 2709, 513, 2048, 935, 857, 10235, 685, 3028, 693, 513, 3902, 602, 786, 1118, 713, 4990, 540, 4781, 10694, 547, 513, 1804, 543, 9750, 7082, 10126, 563, 13900, 4771, 713, 2059, 786, 581, 606, 2810, 1871, 538, 519, 7589, 540, 3747, 547, 3666, 1648, 4616, 609, 4756, 7791, 3761, 269, 901, 786, 581, 1500, 2009, 676, 513, 11931, 1232, 537, 7204, 540, 519, 946, 540, 1648, 2533, 689, 1648, 6765, 269, 1280, 930, 3156, 267, 971, 607, 12104, 3130, 543, 1216, 8022, 267, 713, 568, 2907, 519, 2013, 281, 789, 4125, 8143, 4859, 267, 865, 741, 1648, 3747, 3884, 1406, 1360, 942, 6213, 267, 543, 621, 568, 19599, 2653, 543, 10464, 547, 4228, 602, 10342, 269, 1703, 568, 5318, 1761, 547, 8831, 602, 547, 824, 1648, 2533, 602, 12926, 2838, 7525, 1648, 6765, 563, 3383, 1577, 873, 538, 888, 2026, 513, 1267, 540, 891, 7835, 267, 6800, 4465, 1406, 991, 547, 5855, 827, 875, 1454, 1648, 789, 946, 267, 950, 789, 946, 621, 267, 543, 1018, 519, 1942, 829, 4893, 578, 3430, 16923, 568, 269, 13298, 267, 789, 786, 13404, 593, 519, 2533, 789, 1205, 267, 543, 1018, 891, 786, 1942, 829, 3923, 610, 829, 1032, 269, 8729, 547, 519, 2048, 514, 1181, 564, 540, 1919, 16224, 6800, 666, 2671, 609, 606, 2048, 24479, 2533, 8502, 685, 1018, 3937, 543, 3457, 789, 946, 543, 4309, 6098, 18747, 585, 519, 6765, 540, 741, 2533, 563, 8649, 573, 782, 1346, 2242, 267, 519, 1523, 540, 513, 10626, 786, 1831, 4503, 269, 1677, 3251, 538, 519, 5198, 267, 3549, 991, 547, 6427, 267, 1020, 267, 543, 2344, 3078, 267, 18228, 1648, 2472, 269, 1306, 891, 616, 2356, 711, 519, 4295, 1983, 540, 1699, 1648, 3549, 267, 543, 607, 741, 29341, 14931, 1569, 547, 5561, 7106, 8986, 267, 1007, 3549, 786, 1491, 936, 1765, 1260, 3966, 625, 609, 811, 2318, 543, 3078, 6216, 8446, 585, 6800, 982, 519, 20848, 789, 723, 1044, 7142, 547, 7048, 2390, 585, 865, 1082, 1296, 563, 3719, 4465, 1406, 519, 2462, 21438, 1648, 3549, 3274, 581, 5486, 5896, 676, 2462, 21438, 1344, 3549, 286, 25334, 4601, 267, 855, 519, 6370, 936, 1852, 540, 1344, 814, 986, 3022, 585, 930, 942, 543, 786, 581, 4956, 593, 513, 6626, 3942, 269, 1548, 568, 1007, 585, 519, 1648, 2872, 568, 602, 267, 585, 519, 1101, 942, 538, 1082, 5756, 267, 6800, 949, 723, 513, 7986, 5639, 538, 14045, 945, 17993, 563, 4517, 1018, 3788, 585, 519, 1651, 3518, 757, 286, 769, 519, 6891, 540, 15139, 1436, 267, 789, 949, 2736, 1524, 519, 6198, 521, 3342, 543, 2759, 1055, 2694, 540, 519, 2754, 602, 666, 7639, 593, 741, 1378, 538, 519, 2518, 3060, 269, 29203, 267, 1942, 267, 543, 3668, 540, 9562, 786, 29387, 519, 5348, 25489, 2390, 799, 789, 1031, 547, 7048, 269, 634, 23602, 786, 581, 1346, 5716, 267, 2436, 1007, 1303, 7847, 610, 554, 1882, 11325, 3334, 540, 1651, 3518, 757, 267, 602, 666, 7668, 5561, 547, 1232, 537, 921, 741, 18399, 540, 1648, 2533, 689, 513, 4264, 855, 5051, 796, 22529, 633, 14769, 540, 3119, 1648, 2959, 563, 297, 584, 6319, 534, 22859, 903, 568, 16628, 540, 519, 8092, 5020, 7577, 267, 3742, 538, 4264, 6683, 543, 2470, 11808, 269, 1261, 1995, 849, 2882, 2250, 5107, 607, 7649, 693, 21025, 514, 8124, 1299, 7577, 267, 2910, 302, 540, 10656, 10626, 661, 928, 1723, 267, 543, 3114, 11653, 693, 26425, 269, 7812, 670, 25830, 1568, 593, 5201, 1232, 12365, 1436, 3609, 609, 519, 27943, 26859, 5741, 269, 1261, 5892, 3366, 519, 3864, 8693, 7690, 779, 5295, 19510, 543, 6585, 4487, 779, 5232, 689, 1312, 12370, 543, 20037, 563, 288, 4528, 540, 713, 2376, 8385, 7902, 538, 634, 2051, 2293, 540, 6052, 281, 10749, 593, 519, 8892, 540, 3776, 6052, 3590, 269, 11154, 539, 609, 10479, 563, 15862, 21806, 540, 1744, 13616, 18450, 269, 0, 338, 333, 2355, 14653, 3239, 540, 835, 2985, 689, 519, 1305, 1224, 10250, 543, 2328, 3211, 476, 272, 476, 276, 3791, 3446, 1603, 1863, 7792, 563, 31095, 513, 7623, 4845, 2497, 3211, 8772, 3446, 1603, 1863, 7792, 476, 274, 563, 6269, 27664, 4484, 678, 1603, 3211, 568, 585, 24821, 3446, 1863, 7792, 9251, 543, 8772, 27608, 1775, 563, 2745, 762, 3211, 585, 3446, 1434, 1863, 2979, 540, 7168, 1603, 1101, 1820, 629, 563, 16451, 2542, 7792, 3211, 632, 3239, 2630, 635, 585, 540, 476, 272, 543, 1603, 4976, 3446, 476, 276, 628, 563, 5158, 1983, 3211, 1863, 543, 7792, 585, 3446, 1603, 3791, 21389, 563, 8586, 5401, 7792, 4976, 3446, 3211, 476, 277, 628, 1863, 540, 563, 3712, 3005, 540, 10388, 1603, 3211, 585, 3446, 4647, 873, 543, 2119, 547, 4194, 1893, 6575, 1101, 1863, 17195, 533, 21315, 2759, 13594, 563, 604, 1775, 729, 513, 15705, 1863, 7792, 737, 476, 273, 1603, 5401, 2875, 3791, 3446, 3211, 563, 27273, 2238, 11121, 1863, 7792, 1603, 3211, 585, 9656, 8772, 3446, 13091, 5013, 1764, 8978, 16767, 3214, 1655, 563, 3712, 3005, 540, 1863, 1101, 3446, 1603, 3211, 7792, 4712, 547, 4647, 610, 1820, 5225, 798, 711, 946, 1022, 519, 581, 563, 14079, 476, 275, 1893, 6575, 3211, 1863, 7792, 1603, 4976, 2034, 476, 272, 3288, 563, 14140, 3446, 13002, 4976, 25777, 3211, 1603, 15813, 17195, 2034, 1863, 7792, 8051, 678, 1746, 702, 563, 14079, 1603, 3211, 7792, 1863, 5401, 585, 1101, 16439, 543, 1297, 1913, 476, 271, 476, 276, 10259, 4976, 3791, 535, 563, 16451, 7792, 1603, 3211, 585, 9656, 782, 4647, 543, 3446, 476, 276, 628, 563, 16451, 7792, 1603, 3211, 585, 1101, 3446, 9904, 543, 5022, 2407, 2450, 476, 278, 628, 1989, 563, 14140, 3446, 10259, 3211, 1565, 1863, 7792, 3791, 1603, 2985, 476, 272, 563, 14079, 476, 272, 1603, 3211, 17715, 2542, 15102, 9656, 1863, 7792, 15813, 11236, 1178, 563, 8586, 3211, 585, 3446, 2238, 1893, 6575, 21879, 525, 1863, 8223, 1101, 4647, 3791, 7792, 563, 16451, 7792, 4845, 2497, 3211, 3446, 1603, 1957, 1007, 17715, 1101, 476, 274, 6113, 21389, 563, 25785, 519, 4845, 3211, 4976, 1863 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2467, 616, 1360, 1906, 4025, 538, 519, 1158, 1500, 676, 519, 812, 602, 1004, 6430, 547, 3643, 936, 2067, 3083, 625, 899, 519, 17822, 538, 634, 5689, 323, 1161, 610, 6148, 519, 10875, 8916, 538, 19360, 563, 2252, 596, 2307, 721, 267, 649, 786, 3442, 2470, 936, 519, 8912, 5656, 543, 1018, 649, 616, 2186, 540, 1031, 547, 7487, 1169, 1554, 563, 4913, 267, 519, 29069, 10067, 531, 568, 835, 540, 1346, 4025, 596, 666, 1406, 1265, 9170, 3116, 267, 543, 621, 568, 2189, 538, 922, 1378, 1259, 269, 3502, 1152, 1317, 540, 519, 15999, 2497, 543, 1267, 596, 1590, 581, 3222, 540, 267, 855, 849, 519, 1686, 3297, 621, 543, 875, 519, 812, 2966, 543, 3710, 621, 563, 306, 611, 569, 267, 649, 10093, 1406, 1044, 2111, 547, 3643, 621, 630, 344, 564, 1070, 543, 607, 1454, 607, 649, 1131, 2648, 547, 1039, 713, 1995, 547, 938, 1592, 267, 621, 786, 723, 547, 7227, 513, 3787, 3476, 563, 32381, 540, 938, 27185, 19861, 3643, 865, 2484, 267, 713, 3085, 1406, 1611, 596, 12582, 1406, 1491, 621, 689, 519, 1747, 596, 723, 2854, 621, 1524, 593, 707, 18353, 1592, 543, 1747, 621, 693, 519, 1283, 8259, 621, 568, 2907, 972, 563, 2414, 2327, 596, 2461, 8746, 827, 7446, 621, 607, 707, 1985, 1747, 547, 3643, 610, 1039, 621, 547, 707, 1592, 1354, 596, 1118, 519, 12161, 540, 19765, 26305, 875, 11791, 543, 1272, 19145, 513, 3643, 547, 713, 1747, 666, 581, 267, 649, 786, 581, 4687, 782, 519, 1344, 649, 4076, 16432, 865, 2484, 563, 1103, 713, 1259, 267, 596, 786, 723, 513, 2110, 3391, 855, 849, 1174, 1946, 519, 29069, 10067, 531, 568, 835, 540, 519, 2622, 779, 1655, 4025, 547, 3643, 543, 938, 2648, 585, 621, 865, 2484, 563, 19465, 513, 2622, 11595, 4741, 281, 29069, 10067, 531, 779, 3778, 454, 9617, 899, 596, 1224, 621, 267, 713, 4190, 2497, 568, 851, 540, 519, 20648, 2622, 11595, 15544, 1472, 519, 1158, 267, 543, 596, 11129, 547, 2149, 621, 950, 14045, 547, 3643, 621, 563, 763, 1249, 602, 621, 814, 1044, 10294, 607, 835, 3947, 596, 513, 20726, 540, 875, 15999, 543, 1271, 713, 1747, 1590, 581, 267, 543, 1354, 649, 7914, 547, 519, 851, 540, 950, 621, 2968, 513, 6561, 1747, 267, 1577, 779, 4685, 883, 922, 1686, 563, 2690, 26784, 267, 596, 1058, 917, 519, 29069, 10067, 531, 568, 513, 544, 9476, 1961, 636, 1950, 602, 729, 3710, 538, 476, 14321, 273, 547, 2777, 20961, 808, 25301, 779, 11537, 7385, 3788, 563, 763, 1340, 539, 1950, 729, 3710, 936, 476, 736, 1296, 593, 519, 5045, 4871, 540, 519, 26232, 10044, 5211, 267, 3397, 571, 630, 320, 2749, 538, 31579, 541, 21423, 1533, 1070, 3127, 269, 898, 568, 835, 540, 519, 1655, 1806, 540, 28753, 531, 6189, 602, 5916, 4095, 267, 14655, 267, 543, 9099, 7506, 563, 2005, 568, 1500, 540, 695, 20810, 532, 3043, 18899, 543, 4667, 547, 1689, 2681, 4470, 2390, 519, 21765, 563, 3719, 609, 519, 2241, 1523, 267, 945, 729, 20961, 808, 25301, 267, 543, 1946, 1131, 646, 6430, 547, 979, 936, 713, 2352, 4305, 585, 1010, 7385, 888, 4537, 1695, 808, 25301, 729, 851, 540, 519, 28753, 531, 10504, 543, 15913, 267, 799, 12199, 7187, 3127, 689, 519, 476, 1626, 628, 2540, 547, 519, 4571, 268, 1240, 628, 2540, 563, 1607, 14610, 6659, 4619, 16124, 1310, 519, 15539, 609, 1010, 14552, 950, 1010, 4651, 267, 3751, 808, 1695, 836, 597, 267, 5747, 538, 476, 4572, 278, 269, 1306, 513, 1267, 267, 646, 729, 7715, 2740, 17169, 540, 3397, 571, 538, 476, 14341, 279, 563, 6635, 329, 636, 663, 14465, 340, 23548, 636, 267, 849, 1634, 607, 631, 636, 339, 1794, 10067, 531, 12462, 2419, 4923, 2290, 540, 634, 20066, 25257, 729, 693, 1010, 2427, 269, 1261, 9310, 1200, 538, 476, 14065, 273, 267, 543, 4352, 519, 4622, 1185, 824, 1079, 30842, 267, 646, 729, 1010, 5172, 1851, 873, 563, 7212, 649, 4465, 1406, 4685, 1932, 2620, 883, 1010, 15194, 1296, 267, 649, 786, 2995, 596, 602, 1010, 2123, 1272, 729, 3833, 18512, 563, 16352, 936, 4557, 1453, 609, 1010, 11537, 543, 5172, 7385, 267, 1352, 5293, 2476, 950, 1352, 5795, 4332, 547, 519, 476, 1691, 628, 1126, 540, 519, 7008, 538, 476, 14321, 272, 563, 4537, 1695, 808, 25301, 729, 2141, 513, 14610, 1634, 585, 2679, 1082, 11141, 3889, 1282, 1010, 12081, 267, 799, 568, 835, 540, 519, 1292, 4162, 540, 1010, 10806, 543, 930, 540, 519, 4190, 4025, 596, 786, 5660, 1282, 707, 3251, 538, 3397, 571, 563, 4415, 1010, 2648, 585, 4190, 3889, 543, 1631, 513, 20494, 1324, 2295, 585, 1010, 7385, 631, 636, 339, 1794, 10067, 531, 267, 646, 10288, 519, 4070, 540, 513, 10875, 544, 9476, 1961, 636, 2066, 519, 26232, 10044, 5211, 4358, 689, 1010, 10424, 19289, 538, 3397, 571, 547, 1747, 519, 3788, 540, 1010, 15596, 563, 21413, 8488, 267, 519, 4070, 3323, 538, 476, 14321, 273, 543, 4797, 585, 519, 1985, 476, 736, 1296, 563, 763, 1985, 1344, 3884, 1406, 7357, 9672, 267, 855, 772, 26684, 13259, 24703, 700, 1695, 14873, 729, 16912, 696, 1947, 519, 8783, 4056, 540, 519, 2497, 269, 1261, 729, 606, 4095, 540, 14655, 16350, 543, 1131, 2663, 581, 20295, 585, 8888, 519, 4414, 10783, 538, 16156, 563, 2690, 971, 513, 2352, 543, 15999, 4305, 267, 936, 476, 736, 267, 1822, 4600, 543, 1004, 1185, 547, 581, 3238, 269, 8409, 1331, 1004, 689, 3127, 267, 30111, 267, 2342, 267, 543, 1256, 519, 16368, 7276, 563, 3080, 8536, 19246, 941, 849, 1031, 1282, 519, 4070, 540, 519, 544, 9476, 1961, 636, 1950, 563, 21132, 5071, 1299, 15937, 32438, 281, 13804, 881, 775, 538, 5489, 841, 454, 7212, 519, 29069, 10067, 531, 666, 1413, 899, 513, 2489, 2497, 3379, 547, 824, 25481, 936, 519, 1296, 267, 596, 2731, 991, 547, 1413, 693, 621, 7466, 547, 6963, 3634, 713, 2856, 543, 1445, 593, 835, 3364, 281, 18421, 3769, 1282, 922, 1374, 563, 2005, 568, 811, 982, 1175, 513, 1906, 6821, 543, 519, 3544, 596, 666, 5660, 563, 763, 544, 9476, 1961, 636, 729, 1500, 540, 3043, 18899, 609, 10859, 1790, 3285, 748, 6149, 538, 331, 904, 899, 795, 1228, 267, 22272, 529, 22178, 25625, 267, 795, 1228, 267, 543, 1256, 993, 996, 22438, 269, 2353, 1346, 543, 2881, 638, 18857, 941, 1031, 585, 2870, 6946, 6272, 1210, 513, 4480, 1572, 533, 2884, 571, 546, 3120, 563, 10214, 950, 649, 1175, 3323, 267, 596, 666, 5469, 519, 1483, 1871, 540, 519, 2497, 609, 519, 2241, 946, 540, 3043, 18899, 543, 10475, 10007, 602, 1942, 7366, 2221, 267, 952, 711, 5215, 540, 9489, 563, 3086, 267, 519, 3844, 26434, 568, 607, 7381, 607, 476, 13301, 3952, 630, 10463, 332, 264, 543, 27788, 2185, 4130, 546, 2345, 269, 2311, 519, 15174, 267, 2185, 20610, 610, 1295, 732, 1206, 11542, 538, 28795, 20610, 563, 6097, 547, 5771, 5389, 267, 20845, 18627, 941, 2854, 538, 30951, 693, 519, 818, 3481, 1303, 27509, 540, 519, 544, 9476, 1961, 636, 267, 799, 1590, 723, 3144, 513, 1390, 4308, 1759, 593, 519, 9588, 540, 519, 1303, 27509, 563, 763, 524, 523, 582, 7469, 610, 4122, 1634, 607, 513, 7301, 19772, 540, 631, 636, 339, 1794, 10067, 531, 729, 6854, 538, 519, 544, 9476, 1961, 636, 269, 898, 568, 606, 12354, 21192, 18899, 12068, 602, 568, 24224, 2899, 1586, 609, 10859, 1790, 3285, 748, 10007, 543, 2882, 1286, 19133, 563, 19350, 713, 10475, 524, 523, 582, 7469, 267, 596, 786, 1265, 519, 1483, 26878, 20652, 602, 3568, 1200, 4890, 3788, 563, 763, 29069, 10067, 531, 1950, 849, 3769, 519, 1292, 13675, 540, 2699, 32498, 267, 513, 4009, 4677, 602, 729, 5258, 676, 1279, 20115, 540, 1216, 267, 543, 20453, 563, 2467, 729, 849, 513, 2699, 1606, 663, 7723, 9923, 4302, 543, 513, 2147, 2679, 1572, 513, 10265, 629, 2066, 519, 8265, 689, 519, 9923, 4302, 563, 6097, 547, 519, 10828, 543, 1686, 267, 20961, 808, 25301, 9709, 547, 1628, 513, 2034, 6264, 544, 9476, 1961, 636, 2066, 519, 26232, 10044, 5211, 689, 519, 29069, 10067, 531, 547, 2777, 1010, 3788, 950, 646, 5747, 267, 543, 519, 1079, 3889, 941, 547, 581, 4448, 676, 513, 8115, 563, 4913, 267, 29457, 836, 2763, 321, 267, 20961, 808, 25301, 779, 3791, 1126, 609, 631, 636, 339, 1794, 10067, 531, 267, 1244, 2216, 1010, 4651, 538, 476, 13679, 279, 543, 25868, 1379, 563, 2026, 513, 1267, 267, 20961, 808, 25301, 711, 1152, 7948, 1406, 1376, 1010, 1788, 855, 849, 6170, 1010, 2063, 1296, 896, 2777, 10654, 693, 3397, 571, 779, 4414, 10783, 18975, 267, 3168, 856, 936, 519, 15999, 16889, 1747, 646, 1185, 3710, 585, 1010, 7385, 609, 513, 2070, 602, 729, 3177, 563, 7661, 267, 646, 5747, 538, 476, 14917, 277, 543, 729, 12617, 22290, 1200, 563, 14106, 1746, 519, 29069, 10067, 531, 281, 4208, 4658, 7994, 24613, 454, 7883, 532, 1394, 547, 1018, 649, 941, 4304, 827, 1373, 513, 968, 13678, 921, 892, 2497, 585, 930, 1004, 267, 649, 2461, 8746, 596, 666, 1174, 513, 3787, 4514, 602, 621, 3884, 1406, 1175, 1776, 2679, 610, 4070, 538, 519, 1158, 563, 763, 544, 9476, 1961, 636, 568, 3833, 513, 1950, 2497, 602, 729, 3710, 609, 6909, 2326, 543, 896, 519, 2856, 540, 513, 1360, 1808, 1374, 602, 3112, 581, 1336, 9170, 3116, 538, 519, 1158, 563, 8170, 1576, 267, 519, 2326, 543, 267, 16113, 922, 18899, 3655, 9809, 1228, 267, 5749, 1406, 519, 1152, 11141, 2934, 855, 2864, 519, 1686, 543, 2601, 3297, 922, 4070, 267, 799, 649, 723, 2451, 2312, 865, 2484, 563, 7212, 1686, 543, 6189, 616, 9090, 851, 540, 519, 1283, 4128, 267, 789, 616, 711, 519, 1152, 4128, 3297, 519, 3643, 563, 763, 1350, 600, 712, 543, 5898, 621, 2982, 547, 922, 8436, 616, 3564, 1913, 607, 3025, 945, 814, 8854, 972, 23216, 609, 1945, 281, 898, 568, 1454, 811, 4190, 982, 1018, 596, 666, 5660, 538, 6337, 563, 763, 10450, 540, 519, 29069, 10067, 531, 849, 979, 9985, 1134, 609, 519, 2497, 267, 543, 21706, 267, 607, 1134, 607, 17631, 3168, 585, 513, 1390, 1374, 1500, 676, 519, 812, 267, 616, 538, 2648, 609, 519, 1114, 4778, 540, 519, 10007, 1759, 593, 519, 3141, 950, 621, 4422, 1524, 563, 1103, 1840, 267, 972, 616, 811, 3889, 596, 666, 3643, 1282, 707, 7552, 1354, 3001, 547, 519, 968, 290, 3497, 540, 782, 6022, 2167, 892, 630, 6518, 568, 1018, 29069, 10067, 531, 1797, 538, 14655, 264, 543, 723, 513, 1413, 693, 519, 17018, 4302, 267, 4077, 20045, 327, 593, 519, 4677, 267, 543, 519, 10875, 7013, 10766, 563, 6624, 14868, 543, 17691, 941, 4535, 689, 519, 4190, 544, 9476, 1961, 636, 607, 1134, 267, 865, 596, 666, 2972, 811, 982, 519, 1686, 649, 723, 5018, 865, 2484, 630, 663, 649, 616, 1869, 7508, 513, 2603, 264, 1247, 2348, 513, 1390, 942, 6947, 543, 1565, 827, 519, 17691, 540, 519, 29069, 10067, 531, 563, 7661, 267, 519, 29069, 10067, 531, 729, 3957, 2622, 11595, 13505, 538, 476, 2735, 274, 543, 568, 1572, 968, 1492, 13049, 540, 519, 7332, 1148, 538, 4095, 543, 835, 540, 519, 24080, 25343, 25704, 540, 519, 1158, 779, 6561, 3034, 18814, 547, 713, 25084, 543, 519, 1699, 4441, 267, 519, 29069, 10067, 531, 568, 2808, 835, 540, 519, 2413, 5722, 13300, 540, 519, 1158, 543, 814, 782, 519, 2924, 547, 581, 865, 563, 8110, 2739, 585, 12875, 626, 281, 1548, 547, 1684, 1879, 6250, 1746, 454, 2252, 596, 723, 22027, 827, 9683, 543, 7836, 782, 707, 942, 3168, 693, 519, 4070, 267, 649, 1205, 596, 282, 596, 2461, 711, 3843, 547, 6108, 1896, 2395, 3257, 519, 1482, 563, 2026, 11141, 607, 519, 29069, 10067, 531, 568, 267, 621, 568, 3020, 14666, 4465, 1406, 581, 13854, 609, 6972, 543, 2348, 513, 1413, 693, 519, 2497, 585, 2395, 267, 1256, 950, 621, 568, 865, 2462, 543, 2143, 602, 972, 568, 1100, 1966, 952, 596, 6430, 547, 798, 713, 563, 3719, 1739, 519, 8912, 3391, 543, 2238, 267, 568, 9683, 519, 544, 9476, 1961, 636, 519, 1152, 3364, 596, 666, 798, 286, 3502, 3833, 563, 2171, 5018, 824, 3889, 1282, 519, 3105, 3296, 267, 855, 649, 4769, 1406, 1331, 930, 2238, 543, 4025, 596, 666, 798, 543, 3643, 607, 1134, 563, 293, 622, 327, 20580, 31881, 686, 568, 513, 2749, 1500, 540, 2699, 32498, 267, 543, 621, 568, 513, 1360, 2442, 15805, 16007, 2282, 707, 1292, 16007, 2059, 609, 519, 3397, 571, 10783, 267, 898, 574, 611, 268, 644, 1673 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 296, 614, 566, 10797, 325, 815, 4017, 20906, 263, 272, 267, 1015, 994, 1721, 1003, 538, 535, 912, 825, 1820, 16325, 267, 754, 8782, 1412, 264, 0, 3698, 1939, 788, 599, 22607, 3464, 267, 3433, 2187, 825, 952, 31477, 2999, 476, 2412, 912, 1038, 2698, 815, 31477, 2608, 2557, 454, 1038, 2132, 2698, 454, 825, 8640, 31477, 3436, 476, 2412, 10778, 1038, 17938, 3464, 815, 31477, 910, 476, 2412, 454, 1038, 2698, 815, 630, 2412, 2608, 2557, 3738, 1341, 630, 1410, 327, 3464, 2608, 2557, 2608, 476, 272, 269, 276, 994, 1038, 2132, 2698, 454, 327, 3464, 815, 3403, 2891, 11767, 25980, 281, 5602, 327, 3464, 815, 10581, 22607, 3464, 994, 3433, 815, 3403, 2891, 10938, 2557, 5602, 3433, 815, 10581, 263, 3433, 994, 11985, 815, 1939, 788, 599, 22607, 3464, 267, 3433, 994, 2745, 630, 11985, 994, 0, 339, 25507, 263, 3863, 17750, 3890, 3418, 6112, 6025, 285, 271, 8029, 825, 512, 266, 15871, 272, 1477, 825, 538, 335, 284, 3863, 17750, 14052, 825, 521, 284, 514, 335, 21858, 14052, 825, 952, 12759, 4433, 264, 2525, 272, 8029, 1038, 1820, 4433, 314, 271, 4940, 12294, 14061, 5115, 1388, 1125, 3890, 3418, 825, 8640, 12759, 4433, 264, 2525, 273, 8029, 1038, 1820, 4433, 314, 271, 4940, 5115, 1388, 1125, 3890, 25011, 271, 27994, 8339, 1412, 266, 338, 314, 272, 4940, 12294, 14061, 5115, 1388, 1125, 14052, 825, 8640, 12759, 4433, 264, 2525, 274, 8029, 1038, 1820, 521, 314, 271, 4940, 5115, 1388, 1125, 3890, 314, 271, 27994, 8339, 1412, 266, 338, 314, 272, 4940, 5115, 1388, 1125, 3890, 314, 271, 27994, 8339, 1412, 266, 338, 314, 273, 4940, 12294, 14061, 5115, 1388, 1125, 14052, 24541, 0, 3698, 5858, 3287, 272, 267, 586, 272, 267, 1535, 273, 267, 586, 273, 267, 678, 272, 267, 678, 273, 2187, 825, 1253, 306, 336, 815, 630, 343, 272, 910, 1535, 273, 264, 2608, 630, 343, 272, 910, 1535, 273, 264, 1341, 630, 344, 272, 910, 586, 273, 264, 2608, 630, 344, 272, 910, 586, 273, 5148, 3097, 825, 2234, 11764, 306, 336, 815, 630, 337, 272, 1341, 678, 273, 264, 2608, 630, 337, 272, 1341, 678, 273, 5148, 3097, 825, 952, 630, 23251, 306, 336, 2652, 2234, 11764, 306, 336, 2187, 1038, 2132, 476, 272, 3097, 825, 8640, 630, 23251, 306, 336, 3436, 2234, 11764, 306, 336, 2187, 1038, 2132, 910, 272, 3097, 825, 3116, 912, 1038, 2132, 476, 271, 3097, 3097, 1721, 9041, 538, 2039, 17301, 263, 3863, 17750, 3890, 15892, 825, 1535, 272, 11971, 272, 267, 337, 272, 284, 14090, 17301, 267, 3863, 17750, 14061, 20889, 15405, 825, 1535, 273, 11971, 273, 267, 337, 273, 284, 14090, 17301, 267, 3863, 17750, 14061, 20889, 15405, 825, 512, 815, 5858, 3287, 272, 267, 586, 272, 267, 1535, 273, 267, 586, 273, 267, 678, 272, 267, 678, 273, 264, 3097, 825, 952, 630, 339, 2652, 476, 272, 2187, 1038, 1820, 834, 339, 836, 1113, 257, 3097, 825, 8640, 630, 339, 2999, 476, 271, 2187, 1038, 1820, 1412, 2254, 20718, 262, 3097, 825, 3116, 912, 1038, 1820, 1412, 1478, 331, 6260, 7055, 0, 18257, 1103, 713, 1982, 267, 649, 3403, 513, 1297, 454, 13765, 952, 519, 1297, 568, 2318, 610, 454, 17463, 610, 4642, 543, 4159, 454, 534, 3617, 5048, 454, 1607, 942, 649, 946, 29005, 952, 3948, 18257, 692, 11133, 815, 10581, 9272, 2891, 11767, 513, 1297, 281, 27328, 604, 1003, 13843, 476, 271, 912, 825, 952, 1003, 2652, 476, 271, 912, 1038, 1820, 2891, 313, 3266, 5602, 825, 8640, 1003, 283, 271, 912, 1038, 1820, 16325, 994, 825, 3116, 912, 1038, 1820, 2891, 31339, 1297, 5602, 12828, 912, 825, 1820, 2891, 27078, 894, 1297, 5602, 0, 5814, 1770, 11687, 7531, 5035, 13924, 24652, 263, 684, 8636, 652, 11053, 652, 19111, 17107, 825, 1948, 1449, 1599, 547, 1449, 2436, 1883, 568, 1459, 538, 8708, 454, 825, 1219, 1449, 318, 17463, 4311, 2187, 1038, 1883, 815, 834, 331, 531, 603, 320, 4840, 1038, 8708, 815, 834, 295, 574, 24652, 2699, 11276, 586, 518, 571, 2513, 340, 4840, 1038, 1948, 5470, 5048, 538, 2013, 952, 1449, 2013, 3893, 8959, 454, 1038, 5048, 815, 834, 4486, 568, 711, 538, 8708, 4799, 1038, 1948, 7682, 1103, 3890, 547, 2638, 952, 1883, 568, 538, 8708, 454, 1038, 1582, 20596, 1103, 31107, 267, 8708, 267, 5048, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 10797, 258, 2667, 1068, 542, 13286, 281, 1412, 331, 531, 603, 320, 262, 711, 1336, 538, 1412, 295, 574, 24652, 2699, 11276, 586, 518, 571, 2513, 340, 262, 2433, 1883, 568, 711, 538, 8708, 269, 0, 5035, 595, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1820, 3488, 17746, 1192, 528, 1572, 9538, 2020, 825, 1219, 1294, 4311, 2187, 1038, 1820, 3488, 290, 17210, 331, 531, 603, 320, 284, 290, 4590, 29538, 24652, 284, 290, 4590, 5035, 320, 284, 290, 4590, 258, 3977, 281, 621, 1820, 476, 274, 2053, 519, 4020, 528, 1505, 1317, 649, 616, 2870, 476, 273, 476, 3615, 454, 258, 20472, 528, 1572, 563, 258, 20472, 528, 1572, 563, 258, 20472, 528, 1572, 780, 2745, 2891, 13117, 4499, 2525, 5602, 331, 531, 603, 320, 269, 5408, 3890, 1948, 595, 454, 258, 1526, 745, 14585, 12851, 547, 1362, 267, 4020, 528, 2813, 950, 1362, 568, 2813, 543, 4020, 528, 546, 548, 1540, 950, 1362, 568, 18111, 564, 323, 538, 519, 1505, 454, 258, 1505, 12851, 547, 1843, 267, 1505, 2813, 950, 1843, 568, 1212, 320, 730, 543, 1505, 25216, 950, 1843, 568, 25533, 525, 7531, 0, 692, 28744, 2891, 3891, 1767, 267, 834, 1432, 781, 972, 286, 3269, 264, 1948, 476, 23380, 16105, 692, 2745, 2891, 3891, 1767, 267, 1548, 781, 972, 8119, 264, 1948, 1261, 1767, 267, 1548, 781, 972, 2496, 28744, 3488, 3891, 1767, 267, 834, 1432, 781, 972, 8119, 10807, 1948, 23380, 16105, 692, 2745, 3488, 5257, 3891, 1767, 267, 834, 1432, 781, 972, 8119, 5257, 10807, 1948, 1261, 1767, 267, 834, 1432, 781, 972, 24350, 258, 29400, 2582, 10530, 454, 2745, 3488, 3891, 1767, 267, 834, 1432, 32075, 338, 972, 8119, 10807, 1948, 1261, 1767, 267, 834, 1432, 781, 972, 12482, 258, 29400, 5595, 10530, 454, 2745, 2891, 3891, 1767, 267, 1422, 257, 1432, 781, 972, 286, 315, 3269, 264, 1948, 1261, 1767, 267, 834, 1432, 781, 972, 12482, 2745, 2891, 290, 281, 11138, 23911, 3953, 11138, 299, 756, 8442, 1948, 595, 24097, 23911, 3953, 315, 299, 756, 692, 2745, 2891, 1607, 568, 9102, 14826, 514, 1079, 3515, 8442, 1948, 901, 568, 9102, 454, 14030, 11434, 1948, 476, 538, 1079, 3515, 692, 2745, 2891, 1607, 568, 1422, 343, 5655, 315, 343, 4366, 315, 343, 3393, 315, 343, 6812, 6041, 8442, 1948, 901, 568, 645, 4047, 311, 6041, 454, 2745, 2891, 1607, 568, 1422, 343, 6078, 315, 343, 4366, 315, 343, 3393, 315, 343, 6812, 6041, 8442, 1948, 901, 568, 589, 4047, 311, 6041, 7531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 362, 30536, 12255, 25707, 1598, 3890, 2018, 1948, 16533, 484, 418, 490, 485, 27936, 7511, 28098, 420, 365, 350, 420, 377, 361, 29004, 351, 29873, 21211, 31033, 4970, 366, 25051, 351, 19764, 493, 8147, 23746, 23284, 418, 490, 485, 27936, 419, 376, 500, 419, 510, 479, 25707, 577, 337, 3890, 2018, 1948, 16533, 484, 10533, 368, 12255, 420, 377, 361, 29004, 351, 29873, 13644, 354, 419, 376, 500, 419, 510, 479, 28098, 18021, 498, 7511, 21211, 31033, 4970, 366, 27818, 22047, 21211, 31033, 24724, 25707, 867, 3890, 2018, 1948, 16533, 484, 21211, 31033, 4970, 366, 27818, 22047, 21211, 31033, 24724, 420, 377, 361, 29004, 351, 29873, 28098, 18021, 498, 7511, 419, 376, 500, 419, 510, 479, 27818, 10533, 368, 12255, 24724, 12486, 692, 260, 338, 6892, 19930, 1948, 21211, 31033, 4970, 366, 630, 19404, 485, 17958, 1598, 3890, 7511, 13107, 378, 419, 353, 374, 994, 260, 337, 6892, 19930, 1948, 21211, 31033, 4970, 366, 630, 19404, 485, 17958, 516, 1440, 3890, 7511, 13107, 378, 419, 353, 374, 994, 260, 322, 23526, 1948, 22287, 499, 14748, 21211, 31033, 454, 260, 321, 6892, 19930, 1948, 11590, 490, 13213, 505, 10254, 370, 10533, 368, 12255, 454, 260, 323, 6892, 19930, 1948, 22287, 479, 13213, 505, 10254, 370, 10533, 368, 12255, 454, 260, 328, 6892, 19930, 1948, 22287, 479, 13213, 505, 10254, 370, 10533, 368, 12255, 454, 260, 334, 6892, 19930, 1948, 10429, 360, 13213, 505, 10254, 370, 10533, 368, 12255, 454, 260, 343, 6892, 19930, 1948, 22287, 479, 10429, 511, 13213, 505, 10254, 370, 10533, 368, 12255, 454, 260, 324, 6892, 19930, 1948, 418, 490, 485, 12255, 630, 417, 509, 374, 18021, 499, 19540, 503, 20992, 324, 994, 260, 292, 6892, 19930, 1948, 418, 490, 485, 12255, 630, 417, 509, 374, 18021, 499, 19540, 503, 20992, 292, 994, 260, 325, 6892, 19930, 1948, 418, 369, 362, 30536, 12255, 454, 260, 293, 6892, 19930, 1948, 418, 369, 362, 30536, 12255, 8147, 4970, 492, 31968, 25203, 372, 12571, 490, 454, 260, 326, 6892, 19930, 1948, 418, 490, 485, 12255, 16216, 264, 318, 343, 9826, 271, 318, 16043, 500, 418, 369, 362, 30536, 12255, 630, 21550, 373, 29004, 362, 13107, 378, 419, 353, 374, 421, 499, 379, 18021, 355, 994, 260, 294, 6892, 19930, 1948, 418, 490, 485, 12255, 27887, 264, 16043, 500, 418, 369, 362, 30536, 12255, 630, 21550, 373, 29004, 362, 13107, 378, 419, 353, 374, 421, 499, 379, 18021, 355, 994, 19399, 10310, 2971, 454, 258, 28578, 23989, 454, 2745, 12759, 17338, 272, 4297, 567, 1948, 18777, 350, 28997, 501, 28578, 23989, 421, 499, 379, 18021, 355, 263, 30317, 27381, 510, 14748, 12255, 454, 4289, 272, 31927, 263, 274, 264, 672, 1948, 476, 10254, 510, 30522, 353, 30317, 27381, 510, 454, 4289, 272, 269, 27234, 3890, 11434, 1948, 17276, 372, 483, 419, 358, 374, 28578, 23989, 30317, 27381, 510, 454, 325, 21209, 273, 815, 5613, 314, 272, 281, 275, 316, 825, 1948, 476, 28578, 23989, 10254, 485, 29830, 485, 692, 1721, 4829, 538, 5613, 281, 1363, 1948, 13127, 378, 359, 27064, 363, 421, 479, 491, 31308, 484, 28578, 23989, 30317, 27381, 510, 454, 825, 1820, 6600, 8816, 26644, 19572, 1439, 8782, 30386, 2745, 10797, 325, 21209, 273, 815, 5613, 314, 272, 281, 275, 316, 8587, 1948, 476, 28578, 23989, 10254, 485, 29830, 485, 692, 19399, 10310, 7462, 454, 258, 27936, 18263, 487, 421, 505, 484, 12571, 486, 454, 18257, 23911, 18809, 7511, 421, 505, 484, 12571, 486, 420, 371, 509, 12255, 27730, 31968, 7511, 421, 505, 484, 12571, 486, 15159, 13601, 420, 485, 368, 7511, 454, 7090, 421, 505, 484, 12571, 486, 7511, 418, 371, 375, 20693, 510, 20069, 4970, 353, 26175, 491, 27747, 372, 17958, 25913, 25622, 8147, 26166, 10254, 360, 15159, 5417, 25520, 26303, 454, 421, 505, 484, 12571, 486, 26303, 25913, 25622, 16088, 15159, 418, 488, 488, 28884, 25263, 510, 24662, 7511, 30317, 27381, 510, 418, 489, 484, 26166, 8147, 417, 479, 504, 20992, 14748, 12916, 497, 25263, 510, 24662, 28996, 421, 505, 484, 12571, 486, 18809, 18411, 3553, 272, 815, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 274, 267, 476, 274, 267, 476, 273, 8679, 3553, 272, 14491, 263, 276, 994, 3553, 273, 269, 26303, 8443, 1556, 267, 476, 1321, 20285, 19399, 10310, 7462, 454, 18257, 21211, 10429, 372, 15159, 9463, 355, 13601, 26175, 491, 23746, 9463, 502, 14395, 373, 417, 503, 357, 418, 357, 350, 417, 508, 489, 8147, 32352, 25263, 376, 30678, 16043, 495, 10524, 361, 13200, 509, 418, 368, 375, 18809, 12916, 379, 17958, 7511, 21211, 10429, 372, 8147, 14395, 481, 23746, 23284, 11858, 502, 417, 480, 357, 10524, 375, 418, 482, 493, 32352, 417, 508, 489, 28098, 420, 365, 350, 8147, 454, 4970, 492, 28578, 23989, 18998, 421, 505, 484, 12571, 486, 21251, 12571, 490, 7511, 15159, 8147, 21211, 10429, 372, 7511, 30006, 493, 14748, 30317, 27381, 510, 421, 25693, 15159, 13200, 365, 22047, 421, 498, 362, 25520, 22047, 29219, 14756, 482, 29873, 7511, 2108, 421, 498, 362, 29219, 28098, 892, 8147, 421, 498, 362, 25520, 29219, 20881, 504, 13213, 485, 19540, 496, 9463, 371, 26166, 19764, 478, 18411, 338, 13990, 815, 27835, 421, 359, 484, 13107, 488, 9166, 476, 4817, 267, 1412, 419, 503, 377, 30317, 420, 488, 367, 9166, 476, 4281, 267, 1412, 419, 489, 482, 10524, 479, 23521, 364, 9166, 476, 11025, 8679, 258, 476, 20881, 504, 13213, 485, 421, 498, 362, 23746, 23284, 420, 492, 371, 9463, 500, 21211, 10429, 372, 18809, 28098, 18021, 498, 7511, 29219, 454, 2745, 4433, 13990, 9131, 421, 359, 484, 13107, 488, 262, 7481, 2745, 4433, 13990, 9131, 419, 489, 482, 10524, 479, 23521, 364, 11172, 2020, 5035, 9906, 24998, 2187, 825, 1948, 6449, 8181, 1029, 15159, 22047, 29830, 373, 418, 362, 488, 25913, 25622, 17958, 30678, 21928, 10254, 505, 417, 375, 374, 28098, 420, 365, 350, 28793, 13213, 505, 27310, 10254, 507, 417, 356, 489, 25060, 500, 418, 497, 491, 30853, 454, 825, 1948, 476, 20881, 504, 13213, 485, 30244, 14748, 25913, 25622, 16043, 495, 10524, 361, 23746, 23284, 20992, 27730, 13200, 509, 28098, 420, 365, 350, 14756, 495, 27936, 4067, 25520, 720, 4970, 353, 14748, 31271, 508, 26233, 356, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 0, 454, 5035, 5384, 912, 825, 1219, 9041, 8181, 318, 263, 1345, 267, 5662, 267, 8792, 267, 2034, 2187, 1038, 1582, 14857, 327, 712, 815, 5662, 454, 1038, 1582, 14857, 2381, 1393, 815, 8792, 454, 1038, 1582, 14857, 16149, 815, 2034, 692, 825, 1219, 9041, 5417, 318, 263, 1345, 267, 824, 2187, 1038, 2034, 815, 1582, 11519, 16149, 1341, 824, 11519, 16149, 454, 1038, 8792, 815, 1582, 11519, 2381, 1393, 1341, 824, 11519, 2381, 1393, 454, 1038, 5662, 815, 1582, 11519, 327, 712, 1341, 824, 11519, 327, 712, 454, 1038, 952, 2034, 3436, 476, 2568, 912, 2018, 8792, 6834, 703, 263, 16149, 1315, 476, 2568, 994, 2018, 2034, 815, 2034, 4939, 476, 2568, 454, 1038, 952, 8792, 3436, 476, 2568, 912, 2018, 5662, 6834, 703, 263, 2381, 1393, 1315, 476, 2568, 994, 2018, 8792, 815, 8792, 4939, 476, 2568, 454, 1038, 942, 815, 834, 346, 271, 348, 25980, 281, 2715, 272, 348, 3764, 281, 2715, 273, 348, 7643, 2668, 8971, 22607, 712, 267, 8792, 267, 2034, 994, 1038, 2132, 942, 7531, 327, 272, 815, 703, 9272, 2891, 11767, 519, 25980, 540, 1101, 29376, 292, 1422, 339, 27363, 332, 272, 815, 703, 9272, 2891, 11767, 519, 3687, 2373, 540, 1101, 29376, 292, 1422, 339, 27363, 338, 272, 815, 703, 9272, 2891, 11767, 519, 1530, 6948, 540, 1101, 29376, 292, 1422, 339, 8442, 2020, 327, 273, 815, 703, 9272, 2891, 11767, 519, 25980, 540, 2034, 29376, 292, 29146, 27363, 332, 273, 815, 703, 9272, 2891, 11767, 519, 3687, 2373, 540, 2034, 29376, 292, 29146, 27363, 338, 273, 815, 703, 9272, 2891, 11767, 519, 1530, 6948, 540, 2034, 29376, 292, 29146, 27363, 5503, 272, 815, 5384, 22607, 272, 267, 544, 272, 267, 521, 272, 994, 5503, 273, 815, 5384, 22607, 273, 267, 544, 273, 267, 521, 273, 994, 2745, 2891, 11764, 540, 942, 24333, 942, 272, 266, 5503, 273, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 606, 7317, 6437, 23918, 3028, 585, 3610, 267, 5356, 873, 4052, 948, 538, 563, 5002, 24798, 1240, 2626, 519, 3540, 2112, 568, 865, 1271, 547, 721, 607, 22988, 1317, 1022, 1620, 540, 938, 4182, 2221, 814, 547, 581, 1759, 593, 519, 1620, 540, 519, 269, 476, 271, 3583, 30663, 1724, 519, 3540, 2112, 538, 2185, 3764, 281, 26462, 12485, 540, 6370, 543, 1946, 513, 1166, 21403, 23603, 729, 865, 2500, 713, 3381, 568, 851, 540, 519, 7819, 269, 9282, 519, 3540, 2112, 540, 476, 5908, 272, 814, 1044, 835, 540, 519, 1034, 1271, 11271, 540, 519, 7819, 1686, 267, 711, 1082, 1004, 2965, 917, 1946, 621, 3323, 538, 519, 1101, 1747, 269, 1656, 10452, 741, 1880, 2070, 540, 875, 543, 1946, 789, 10692, 676, 4334, 267, 1018, 568, 12926, 1572, 4534, 676, 519, 23602, 4534, 519, 7819, 3540, 2112, 3079, 729, 563, 15996, 17168, 1428, 729, 519, 721, 3540, 2112, 17149, 1686, 1557, 30479, 543, 29827, 581, 731, 849, 4718, 519, 7819, 3540, 2112, 538, 2474, 540, 513, 1362, 4655, 543, 26948, 519, 2112, 269, 3848, 476, 272, 281, 593, 519, 3123, 540, 3540, 2112, 606, 651, 554, 4141, 742, 2401, 3540, 10617, 1946, 568, 972, 14427, 10795, 4655, 950, 1034, 1004, 1131, 581, 1732, 1055, 676, 23928, 269, 4208, 1705, 519, 5087, 3094, 519, 3540, 2112, 519, 5087, 4465, 519, 3540, 2112, 1317, 789, 941, 593, 519, 1318, 2427, 540, 1480, 5683, 2152, 1034, 540, 269, 5192, 606, 2626, 585, 1412, 25585, 568, 519, 7819, 3540, 2112, 1271, 538, 2474, 540, 1158, 1686, 17216, 621, 729, 513, 2112, 602, 7494, 8032, 13314, 267, 543, 922, 3123, 543, 563, 763, 3540, 2112, 729, 513, 2101, 7432, 1448, 538, 7819, 1686, 938, 3395, 4182, 729, 7184, 5258, 267, 543, 519, 4611, 12959, 616, 19416, 519, 1439, 540, 8474, 543, 519, 269, 3943, 6304, 538, 30067, 4815, 543, 519, 7819, 3540, 2112, 267, 476, 5908, 273, 1700, 5908, 278, 4367, 538, 476, 5908, 273, 267, 18008, 17169, 23040, 1961, 517, 25831, 18902, 30099, 547, 3715, 513, 18008, 269, 476, 6344, 26392, 5400, 1018, 798, 649, 917, 610, 1589, 649, 917, 827, 519, 5208, 538, 519, 7819, 3540, 2112, 649, 6157, 5431, 519, 5168, 540, 530, 5306, 17642, 2006, 779, 1631, 1134, 8153, 844, 760, 563, 763, 2034, 18008, 10504, 7283, 13166, 9243, 2429, 519, 7819, 3540, 2112, 543, 2760, 6444, 519, 1476, 539, 4733, 2829, 540, 13314, 519, 8087, 2829, 540, 269, 5903, 540, 9604, 538, 519, 7819, 3540, 2112, 543, 713, 568, 1946, 930, 1004, 3494, 602, 7022, 13274, 11181, 1572, 621, 519, 18008, 9604, 538, 519, 7819, 3540, 2112, 269, 476, 1001, 22903, 1704, 3214, 1451, 827, 519, 1686, 540, 519, 7819, 3540, 2112, 1519, 3123, 267, 15415, 267, 1252, 1023, 267, 12959, 267, 3232, 1272, 267, 705, 12646, 13274, 11181, 267, 519, 5087, 5288, 5045, 269, 476, 10204, 24798, 1240, 1498, 519, 3540, 2112, 568, 519, 1034, 2854, 268, 12671, 12558, 538, 7819, 1686, 267, 14761, 10344, 543, 1686, 519, 7819, 3540, 2112, 563, 15221, 13136, 6021, 13840, 2247, 539, 22988, 899, 547, 1589, 540, 741, 3540, 2112, 607, 513, 1360, 2462, 2680, 855, 10355, 2992, 26483, 602, 519, 4655, 986, 3022, 2429, 269, 476, 9610, 24798, 1240, 713, 2985, 6257, 519, 3123, 543, 2360, 540, 519, 3540, 2112, 543, 2488, 2143, 519, 30067, 4618, 268, 26410, 2112, 11783, 476, 25172, 22903, 1704, 1863, 1557, 281, 1946, 519, 7819, 3540, 2112, 16768, 585, 3476, 982, 476, 3445, 2395, 519, 5087, 1185, 4397, 741, 2112, 609, 519, 5045, 547, 2063, 585, 1100, 811, 982, 476, 3445, 2395, 789, 269, 476, 4968, 17168, 1321, 519, 2347, 3540, 2112, 3135, 1753, 540, 519, 7819, 3540, 2112, 6266, 540, 1434, 4930, 1934, 593, 875, 543, 1946, 519, 2112, 729, 5342, 607, 621, 729, 269, 0, 2304, 1557, 593, 513, 3460, 676, 1668, 454, 32292, 601, 1557, 593, 513, 3460, 538, 513, 22125, 1668, 1557, 593, 513, 3460, 676, 5721, 9748, 582, 17480, 5869, 781, 3460, 1557, 5401, 9520, 616, 26405, 547, 4283, 2852, 543, 20053, 547, 269, 9452, 942, 281, 606, 20605, 1668, 11878, 519, 3460, 3323, 1586, 543, 513, 1126, 3323, 24986, 519, 1668, 30281, 1524, 1317, 540, 741, 4339, 799, 729, 1631, 3478, 269, 5788, 1863, 12600, 543, 4359, 4015, 540, 7005, 3594, 269, 14674, 513, 3460, 676, 7077, 267, 5721, 267, 1668, 610, 1286, 476, 277, 600, 1668, 3460, 1129, 909, 547, 2070, 519, 2898, 1557, 543, 4647, 519, 7824, 585, 20471, 1569, 593, 707, 2780, 563, 288, 1668, 3460, 1557, 7904, 2720, 5918, 4731, 536, 7596, 11253, 790, 2079, 1557, 3834, 1156, 730, 7819, 3594, 1138, 338, 476, 274, 19761, 5967, 2576, 1557, 1250, 2123, 14745, 540, 606, 269, 589, 1557, 1668, 3460, 593, 476, 1220, 271, 2262, 1557, 593, 7952, 2418, 6095, 537, 14193, 2113, 24586, 632, 12103, 642, 773, 16472, 1557, 3594, 827, 1196, 24792, 3276, 651, 12819, 1557, 593, 14407, 3084, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 513, 2110, 1557, 593, 3460, 676, 1668, 269, 5131, 3594, 593, 513, 3460, 676, 1668, 1205, 948, 609, 707, 1603, 476, 272, 998, 476, 1789, 269, 589, 3460, 676, 1668, 910, 1557, 4367, 281, 519, 3460, 1500, 676, 513, 1668, 568, 1572, 513, 3460, 676, 1668, 621, 568, 3810, 11791, 609, 519, 13120, 540, 2257, 543, 2029, 563, 2304, 1557, 593, 513, 3460, 676, 1668, 454, 288, 1668, 3460, 3594, 6863, 1592, 585, 1557, 1603, 7824, 8747, 1557, 593, 2551, 544, 953, 639, 586, 1695, 5622, 513, 273, 7005, 3332, 17440, 513, 32142, 1665, 10325, 4642, 269, 4495, 1775, 14612, 676, 1668, 689, 1642, 6062, 547, 795, 1653, 1775, 6603, 519, 1668, 1796, 1775, 3893, 513, 19044, 519, 1668, 3323, 1310, 3368, 606, 5662, 693, 476, 277, 533, 544, 621, 14612, 693, 513, 1434, 3432, 269, 15339, 607, 777, 991, 2576, 547, 798, 1250, 3860, 1603, 593, 24890, 1631, 1557, 513, 3460, 676, 1668, 682, 2644, 1007, 31069, 5346, 517, 268, 1399, 928, 267, 993, 657, 269, 17714, 676, 1668, 568, 1631, 1360, 1455, 538, 938, 2197, 2899, 1775, 1185, 513, 3460, 676, 1668, 689, 2759, 339, 871, 547, 1666, 656, 777, 584, 1753, 269, 15232, 540, 513, 1762, 18560, 538, 513, 20358, 539, 1668, 593, 1010, 1101, 1554, 547, 960, 1224, 519, 1557, 1863, 593, 2835, 773, 563, 10403, 3594, 593, 5037, 2110, 1557, 593, 3460, 676, 1668, 7952, 1582, 1652, 3028, 1557, 593, 513, 1668, 3460, 513, 3460, 676, 5721, 513, 3460, 676, 1668, 2110, 1557, 593, 3460, 676, 1668, 269, 1323, 1557, 593, 3460, 676, 1668, 585, 1153, 1053, 607, 1134, 607, 585, 14038, 2063, 1032, 1282, 4832, 16314, 938, 1920, 4682, 547, 1660, 810, 12929, 547, 6108, 930, 942, 538, 519, 3579, 269, 4828, 267, 5037, 610, 4633, 593, 968, 320, 3460, 676, 1668, 892, 2347, 5037, 610, 4633, 585, 1362, 476, 1015, 267, 1362, 476, 1321, 543, 22692, 543, 824, 5049, 269, 16390, 1491, 942, 5830, 1317, 621, 781, 2838, 607, 1557, 593, 513, 3460, 676, 1668, 540, 519, 2460, 849, 568, 513, 7463, 1557, 593, 513, 3460, 676, 1668, 540, 563, 2710, 2758, 3655, 755, 639, 2565, 2079, 1557, 22501, 13622, 7784, 1852, 1557, 1382, 1957, 827, 6530, 4967, 3235, 10482, 1557, 1603, 875, 547, 2328, 606, 3932, 585, 606, 1557, 269, 589, 3460, 676, 1668, 568, 9090, 513, 32066, 1995, 1775, 3893, 519, 4686, 4316, 540, 9683, 513, 1747, 3957, 1673, 2130, 321, 926, 538, 519, 8664, 540, 943, 592, 3316, 328, 1282, 519, 1535, 2173, 553, 269, 17778, 547, 1603, 513, 1686, 1557, 3594, 593, 4008, 5107, 18296, 4798, 1557, 593, 3029, 540, 2229, 535, 1042, 15104, 13797, 513, 32142, 513, 273, 7350, 5348, 641, 6776, 1557, 3732, 2566, 2359, 269, 10374, 1557, 1668, 593, 3460, 4535, 1948, 582, 323, 476, 8687, 280, 530, 5306, 17642, 2006, 7819, 10564, 267, 1557, 626, 1299, 19784, 910, 4585, 1010, 6915, 7711, 531, 12455, 23936, 704, 628, 7711, 531, 12455, 23936, 990, 563, 268, 476, 1911, 260, 1863, 4574, 593, 3460, 676, 1668, 3594, 3732, 3584, 267, 5037, 4367, 948, 267, 1382, 1299, 811, 1362, 476, 272, 268, 1321, 267, 1164, 1153, 1299, 2852, 563, 268, 594, 601, 1206, 476, 1220, 279, 264, 476, 6021, 476, 1321, 476, 1001, 276, 606, 1557, 593, 3460, 676, 1668, 585, 1153, 1053, 607, 1134, 607, 585, 14038, 2063, 1032, 1282, 4832, 16314, 938, 1920, 4682, 547, 1660, 810, 12929, 547, 6108, 563, 268, 769, 519, 2250, 267, 3006, 1004, 4988, 1256, 1279, 9883, 593, 3723, 693, 1776, 942, 267, 789, 4682, 689, 835, 1747, 547, 1776, 538, 741, 13032, 1442, 7047, 338, 1753, 563, 32622, 281, 4367, 1107, 4604, 539, 513, 647, 330, 330, 584, 3808, 1668, 1107, 15624, 538, 519, 1668, 1107, 1728, 1457, 21171, 1107, 2849, 334, 1107, 562, 21983, 992, 535, 3266, 345, 1107, 737, 327, 1515, 20580, 1107, 3932, 269, 1323, 1557, 593, 513, 3460, 676, 1668, 547, 5733, 12055, 656, 9243, 3278, 922, 25500, 13530, 524, 523, 984, 7534, 993, 32099, 19952, 1202, 18675, 531, 543, 1476, 541, 5273, 544, 7865, 559, 632, 20130, 806, 1010, 829, 12323, 610, 269, 4985, 18737, 852, 12997, 513, 3460, 676, 1668, 568, 32462, 267, 855, 621, 568, 1898, 513, 3460, 676, 1668, 568, 1100, 3476, 3908, 547, 519, 10034, 621, 814, 1044, 6905, 909, 547, 8498, 269, 476, 1691, 694, 335, 476, 1001, 277, 1775, 786, 3314, 713, 1668, 3460, 782, 1250, 1272, 1557, 1100, 476, 273, 513, 3460, 676, 1668, 621, 729, 513, 5386, 1554, 1775, 4956, 547, 6108, 519, 10543, 693, 598, 333, 4381, 1747, 476, 2918, 24203, 269, 5788, 649, 723, 3893, 513, 2603, 540, 7005, 3594, 713, 568, 3730, 585, 1053, 585, 1565, 7005, 543, 1603, 1557, 1246, 676, 4757, 563, 2304, 1557, 593, 513, 3460, 676, 1668, 305, 730, 476, 274, 270, 276, 1759, 593, 476, 2420, 2689, 0, 13640, 4588, 986, 696, 528, 476, 276, 1557, 18544, 12031, 2262, 1293, 15059, 2055, 5172, 13913, 498, 403, 358, 403, 494, 29645, 13913, 359, 403, 496, 25149, 403, 495, 403, 498, 269, 16505, 6658, 476, 276, 1557, 5037, 2079, 1557, 538, 15986, 3898, 2985, 1557, 4766, 707, 1655, 3659, 14247, 753, 1072, 568, 5763, 1557, 538, 7005, 585, 1362, 476, 276, 2152, 1557, 269, 589, 5363, 3391, 547, 1557, 1603, 1557, 1603, 1107, 519, 1292, 5933, 476, 276, 3040, 1281, 1169, 5037, 9305, 5693, 547, 519, 1866, 269, 12465, 1557, 6516, 476, 276, 268, 279, 5220, 1560, 5037, 1948, 272, 1888, 4845, 1341, 5885, 4845, 1341, 1806, 543, 3877, 476, 1015, 268, 1321, 5220, 1560, 5037, 1948, 273, 269, 634, 2606, 5037, 1058, 519, 476, 276, 24733, 4588, 1557, 2497, 568, 513, 2312, 543, 2241, 1259, 547, 15059, 540, 519, 476, 276, 24733, 4588, 1557, 1008, 3183, 2081, 547, 10994, 707, 1985, 563, 16665, 2022, 540, 476, 276, 5037, 1557, 15059, 4232, 1335, 1495, 10282, 1557, 22305, 1116, 12031, 6288, 8657, 23891, 2357, 6851, 1068, 3594, 827, 2648, 4232, 1335, 1495, 14169, 540, 606, 1557, 269, 4270, 267, 1577, 779, 1491, 938, 15059, 540, 519, 476, 276, 24733, 4588, 1557, 2497, 513, 1900, 2417, 267, 799, 1034, 540, 596, 786, 581, 4280, 547, 798, 269, 476, 272, 7291, 2497, 585, 5339, 2079, 1557, 1775, 6952, 344, 2140, 13797, 5037, 476, 272, 281, 4367, 630, 2224, 11058, 3901, 264, 513, 13622, 536, 2278, 524, 2140, 546, 1292, 3197, 563, 9558, 5296, 540, 8840, 1524, 513, 5037, 1018, 568, 513, 5037, 15059, 513, 5037, 1557, 15059, 269, 901, 1863, 3992, 2488, 606, 7650, 540, 519, 2947, 5037, 1557, 2497, 519, 3381, 3992, 543, 519, 1863, 1102, 4919, 4647, 1397, 596, 1141, 519, 1025, 3471, 616, 865, 269, 667, 321, 336, 1557, 15059, 910, 3775, 828, 3046, 976, 610, 3061, 1622, 540, 2872, 2671, 519, 4528, 540, 519, 11422, 596, 616, 1210, 568, 1100, 3476, 6462, 5225, 22010, 547, 513, 269, 645, 764, 322, 23468, 4099, 7291, 585, 513, 2947, 24733, 4588, 1557, 5037, 476, 272, 281, 4367, 519, 2606, 5037, 1058, 1331, 519, 1739, 2609, 563, 17954, 752, 6658, 1557, 32705, 476, 276, 5037, 1557, 1544, 1676, 7824, 11718, 267, 21604, 543, 20246, 4655, 2079, 1557, 3992, 4566, 2780, 1557, 538, 7005, 585, 1362, 269, 20895, 585, 513, 2947, 24733, 4588, 1557, 5037, 476, 272, 281, 5037, 476, 275, 281, 1560, 5037, 5037, 476, 276, 281, 9433, 543, 2093, 9789, 9266, 5311, 540, 707, 4555, 269, 634, 2947, 24733, 4588, 1557, 568, 513, 1106, 540, 1557, 2348, 2947, 9433, 281, 519, 476, 276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 266, 257, 593, 834, 266, 1345, 269, 720, 266, 257, 642, 340, 582, 5362, 834, 266, 1345, 269, 3691, 539, 266, 257, 2144, 640, 529, 7032, 597, 10117, 7564, 281, 834, 1341, 1345, 4732, 10967, 20175, 10142, 825, 1219, 1305, 21841, 20175, 4311, 267, 27273, 20175, 8029, 1038, 1582, 4732, 10967, 20175, 815, 2706, 20175, 1477, 1363, 1477, 825, 1219, 13626, 4311, 8029, 1038, 1820, 4311, 4732, 895, 10142, 4777, 613, 272, 815, 13928, 2891, 330, 8403, 14824, 280, 14824, 6011, 1454, 568, 519, 3165, 10590, 3418, 4777, 613, 273, 815, 13928, 2891, 330, 4157, 14150, 14824, 736, 14824, 306, 3089, 513, 2910, 290, 298, 10590, 3418, 4777, 613, 272, 15630, 289, 7517, 2891, 31333, 11986, 14744, 4777, 613, 272, 15630, 21841, 20175, 2891, 291, 3518, 11398, 539, 14744, 4777, 613, 273, 15630, 289, 7517, 2891, 299, 842, 340, 14744, 4777, 613, 273, 15630, 21841, 20175, 2891, 329, 24499, 513, 600, 340, 514, 523, 918, 903, 338, 7564, 903, 554, 340, 19513, 257, 10142, 4777, 613, 272, 31428, 20373, 14052, 4777, 613, 272, 12500, 1046, 14052, 4777, 613, 273, 31428, 20373, 14052, 4777, 613, 273, 12500, 1046, 3890, 0, 5814, 4351, 1948, 17006, 3014, 4528, 476, 274, 267, 16440, 1152, 519, 6060, 5897, 5228, 11711, 5649, 2237, 1104, 2608, 5897, 291, 25353, 318, 293, 11223, 318, 303, 26059, 815, 1412, 5825, 619, 20324, 549, 750, 270, 3080, 7804, 633, 22230, 665, 3701, 270, 17806, 604, 850, 339, 3009, 27798, 877, 10574, 17902, 262, 5897, 604, 711, 3758, 2750, 1235, 20573, 25353, 318, 293, 11223, 318, 303, 26059, 2567, 1948, 3399, 909, 3009, 1477, 825, 6060, 815, 476, 271, 1477, 825, 1820, 18011, 17098, 267, 543, 10950, 547, 519, 4946, 3014, 9538, 3418, 12828, 6769, 825, 6060, 815, 1224, 17572, 20573, 25353, 318, 293, 11223, 318, 303, 26059, 3418, 825, 6060, 815, 703, 263, 16557, 3418, 825, 1820, 18011, 8702, 1394, 269, 2659, 10710, 6060, 568, 281, 3299, 6060, 3418, 6112, 6936, 281, 1948, 6301, 8520, 1477, 825, 1101, 10831, 815, 4351, 20120, 9792, 263, 271, 267, 476, 1556, 3418, 825, 2034, 10831, 815, 4351, 20120, 9792, 263, 271, 267, 476, 1556, 3418, 825, 2953, 12585, 815, 1101, 10831, 1341, 2034, 10831, 1477, 825, 2243, 815, 1412, 1432, 568, 281, 1412, 1341, 1193, 6600, 1009, 10831, 264, 1341, 1412, 1341, 1412, 1341, 1193, 263, 16149, 10831, 264, 1341, 1412, 286, 1412, 1477, 825, 3593, 12585, 815, 3403, 263, 23896, 3418, 825, 952, 3593, 12585, 2652, 15234, 6769, 1038, 2736, 5897, 825, 3593, 12585, 815, 703, 263, 12528, 12585, 10142, 825, 952, 3593, 12585, 2652, 2953, 12585, 6769, 1038, 1820, 18011, 8133, 267, 596, 3893, 621, 256, 20298, 1038, 6060, 815, 6060, 1341, 476, 273, 1477, 825, 3116, 6769, 1038, 1820, 18011, 5591, 267, 20994, 267, 519, 2953, 2626, 729, 281, 22207, 2953, 12585, 3418, 1038, 6060, 815, 6060, 910, 476, 272, 1477, 825, 1820, 18011, 7312, 1699, 6060, 568, 281, 22207, 6060, 3418, 825, 1820, 630, 3418, 31095, 17572, 20573, 25353, 318, 293, 11223, 318, 303, 26059, 267, 1193, 263, 16557, 17903, 2745, 18011, 12552, 585, 4730, 10807, 0, 258, 16780, 5317, 281, 7473, 293, 268, 279, 692, 5814, 15259, 454, 5814, 11885, 607, 5286, 454, 5814, 1770, 11687, 692, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 5035, 5903, 11966, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 692, 5035, 8827, 24998, 2187, 825, 7711, 18878, 24709, 454, 825, 1219, 1039, 10521, 301, 13246, 10857, 272, 267, 561, 273, 2187, 1038, 8173, 1038, 2433, 6943, 561, 272, 281, 5903, 11966, 454, 1038, 2433, 6943, 561, 273, 281, 5903, 11966, 454, 1038, 2433, 337, 6943, 281, 5903, 11966, 454, 1038, 8173, 1038, 1219, 1205, 20311, 10857, 2187, 2018, 952, 561, 12785, 568, 7183, 912, 3546, 2132, 561, 22183, 454, 2018, 3116, 912, 3546, 2132, 561, 22183, 1341, 476, 1015, 2608, 1205, 20311, 10857, 12785, 994, 1038, 1219, 1205, 17045, 17635, 2187, 2018, 952, 642, 2999, 476, 1015, 912, 3546, 2132, 5903, 11966, 17635, 994, 2018, 3116, 912, 3546, 513, 815, 5903, 11966, 17635, 260, 1015, 994, 3546, 513, 12785, 815, 1205, 17045, 17635, 2260, 1015, 994, 3546, 2132, 513, 454, 1038, 561, 272, 24449, 815, 1205, 20311, 10857, 272, 994, 1038, 561, 273, 24449, 815, 1205, 20311, 10857, 273, 994, 1038, 2040, 318, 815, 561, 272, 24449, 1341, 561, 273, 24449, 454, 1038, 2132, 1205, 17045, 4433, 636, 318, 994, 1363 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 1015, 281, 19457, 2659, 3203, 281, 16373, 543, 8871, 10056, 692, 5331, 596, 4312, 6170, 4374, 8600, 585, 707, 1153, 1404, 269, 1411, 4312, 8357, 1242, 782, 707, 3515, 267, 13736, 707, 7544, 7575, 267, 543, 5280, 1628, 519, 1305, 269, 7053, 267, 519, 1554, 21128, 267, 543, 596, 1900, 5196, 519, 3942, 267, 9599, 547, 2671, 707, 2773, 609, 2828, 267, 1920, 267, 543, 8284, 15032, 269, 1809, 7227, 9789, 516, 781, 1100, 835, 538, 519, 5304, 256, 2353, 707, 2182, 960, 786, 979, 29462, 8259, 1004, 917, 827, 707, 1397, 269, 901, 568, 1141, 6725, 543, 13319, 2097, 883, 1404, 269, 1358, 948, 3262, 519, 2262, 865, 1866, 666, 2972, 707, 1148, 780, 1103, 519, 1158, 540, 7900, 6575, 267, 1175, 899, 538, 1022, 824, 1870, 267, 5159, 991, 547, 1577, 1761, 9458, 917, 827, 741, 2982, 267, 2621, 267, 610, 2472, 269, 2334, 1259, 267, 811, 1004, 666, 3605, 543, 5660, 741, 15421, 269, 1924, 875, 1281, 713, 1184, 960, 286, 2913, 781, 2263, 2185, 1898, 3268, 538, 6725, 543, 5009, 513, 7900, 6575, 2680, 780, 3721, 476, 272, 281, 10576, 707, 27010, 10748, 1466, 454, 7312, 3077, 5304, 5161, 540, 519, 1808, 1895, 540, 1004, 945, 1131, 1034, 2693, 7390, 707, 1397, 610, 4444, 707, 1587, 269, 1280, 1383, 267, 952, 596, 2811, 8380, 1927, 513, 7574, 267, 707, 3077, 5304, 1522, 581, 2575, 18798, 267, 3885, 609, 1453, 267, 610, 1164, 1153, 12416, 12439, 269, 1635, 1620, 945, 891, 2043, 616, 267, 596, 666, 1711, 6835, 602, 13469, 609, 873, 543, 3442, 3617, 30572, 2409, 780, 3721, 476, 273, 281, 14958, 12056, 12267, 454, 5629, 596, 917, 707, 3077, 5304, 267, 1589, 827, 2081, 547, 1921, 609, 873, 14156, 998, 8903, 6386, 269, 9523, 3297, 7308, 27214, 25333, 4030, 267, 6338, 3197, 267, 610, 5031, 2189, 2934, 540, 707, 2504, 269, 1452, 2984, 666, 533, 1664, 1719, 267, 5352, 10761, 267, 543, 5000, 19044, 6455, 269, 2311, 1520, 1877, 7913, 267, 789, 1289, 713, 4640, 1412, 8346, 2984, 602, 707, 3077, 5304, 666, 9305, 547, 9538, 898, 2337, 1628, 4296, 1063, 22407, 543, 13588, 1354, 519, 1225, 1555, 1256, 4422, 909, 780, 3721, 476, 274, 281, 7994, 13229, 932, 2335, 1564, 454, 3086, 602, 596, 723, 707, 5048, 4712, 267, 6430, 799, 5867, 786, 3914, 707, 3077, 5304, 1034, 3927, 269, 2368, 2442, 3681, 1331, 1514, 2923, 630, 293, 864, 1504, 267, 17749, 1070, 4757, 3377, 24393, 267, 7270, 267, 19297, 267, 8038, 619, 267, 5925, 18537, 267, 610, 2199, 14786, 269, 6333, 2188, 971, 607, 1942, 267, 10333, 267, 543, 22097, 950, 8939, 9055, 269, 5457, 267, 1210, 2789, 9055, 4679, 15287, 543, 5849, 18864, 4413, 525, 856, 593, 1565, 827, 707, 9735, 2773, 2439, 3721, 476, 275, 281, 12763, 11773, 543, 594, 614, 622, 454, 5475, 22745, 707, 6725, 5859, 267, 3950, 922, 3356, 547, 1294, 952, 621, 10742, 707, 3853, 269, 3657, 17914, 9513, 1134, 286, 13201, 972, 1044, 2799, 6278, 593, 1514, 2923, 286, 9122, 593, 891, 2164, 267, 4188, 707, 2994, 9935, 269, 9320, 596, 991, 547, 2119, 1776, 8756, 267, 17408, 752, 707, 1650, 267, 610, 4228, 707, 3077, 5304, 269, 8033, 783, 6454, 5012, 547, 1732, 4093, 936, 942, 780, 3383, 267, 1985, 942, 596, 5965, 585, 513, 1153, 1404, 610, 2671, 707, 11247, 609, 1866, 267, 1832, 891, 2185, 3268, 538, 2247, 269, 2060, 2500, 6725, 543, 13319, 2553, 267, 596, 3513, 4482, 3677, 24921, 543, 4734, 9434, 24221, 593, 707, 5304, 2818, 269, 8414, 7900, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 1260, 12692, 16373, 7896, 454, 1432, 2306, 1520, 1877, 7913, 835, 540, 519, 1655, 3059, 6725, 8041, 585, 552, 4467, 12692, 4213, 888, 4263, 1520, 1877, 7913, 267, 649, 1174, 519, 2956, 540, 3059, 6725, 585, 552, 4467, 12692, 4213, 269, 3776, 3804, 568, 547, 7001, 519, 3007, 540, 707, 3077, 5304, 676, 10213, 2984, 602, 789, 666, 9305, 547, 269, 1520, 1877, 7913, 568, 835, 540, 519, 1283, 552, 4467, 12692, 6725, 8041, 538, 8581, 267, 543, 649, 946, 513, 3099, 540, 3059, 6725, 9055, 547, 2327, 707, 552, 4467, 12692, 1967, 538, 713, 8013, 3059, 2085, 563, 2080, 779, 1018, 649, 666, 798, 585, 707, 2228, 4558, 563, 2171, 616, 513, 835, 3613, 641, 2208, 7649, 585, 552, 19645, 12478, 563, 2171, 9192, 938, 6612, 267, 5876, 1299, 1239, 12454, 1935, 547, 5512, 938, 4891, 547, 22547, 547, 519, 6764, 6372, 563, 22102, 24371, 543, 5440, 4858, 2738, 1312, 2648, 547, 960, 609, 721, 563, 5978, 968, 2171, 666, 798, 621, 892, 10182, 2636, 721, 547, 1020, 2688, 2213, 3435, 585, 707, 2754, 269, 1677, 2327, 602, 649, 9765, 707, 6788, 267, 649, 723, 15568, 938, 1870, 3157, 543, 7500, 896, 513, 3810, 26227, 2324, 2203, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15812, 7566, 543, 8871, 10056, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 6355, 31834, 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, 570, 716, 673, 17073, 6481, 7896, 630, 307, 32209, 2567, 589, 11879, 3281, 9426, 540, 631, 19075, 270, 5472, 1221, 2657, 7896, 27582, 1067, 11765, 6481, 7896, 692, 7072, 692, 1103, 2221, 781, 1950, 543, 6422, 1158, 267, 18002, 666, 2049, 693, 1022, 942, 543, 1747, 267, 1419, 5473, 1164, 16151, 3871, 602, 2154, 7463, 2564, 3210, 7207, 3564, 2757, 661, 5960, 269, 901, 568, 1141, 570, 716, 673, 17073, 6481, 7896, 630, 307, 32209, 264, 2501, 883, 1404, 267, 3246, 2565, 2564, 1489, 547, 28365, 6887, 1282, 1164, 3613, 816, 267, 5732, 20935, 13685, 269, 570, 32209, 9439, 267, 945, 949, 581, 1612, 3139, 923, 267, 11923, 267, 610, 13500, 267, 10929, 3606, 2866, 547, 7500, 3927, 1369, 519, 2189, 2591, 540, 28365, 5054, 780, 8139, 570, 32209, 692, 763, 11865, 540, 840, 327, 2214, 1388, 1416, 538, 5906, 5468, 30193, 570, 32209, 689, 6671, 661, 5960, 269, 1452, 5468, 7854, 1876, 11268, 4238, 267, 9568, 3210, 267, 3406, 543, 15063, 13485, 267, 543, 1256, 4108, 8396, 7653, 269, 1635, 10128, 2564, 6791, 883, 28365, 4238, 267, 570, 32209, 10597, 5692, 1967, 1247, 4180, 519, 8171, 540, 782, 3238, 6105, 780, 7659, 22020, 540, 570, 32209, 692, 272, 269, 9751, 543, 4065, 281, 570, 32209, 7426, 1590, 10536, 4359, 1702, 543, 1983, 4143, 547, 28365, 4915, 269, 1358, 1451, 827, 3440, 2524, 267, 8825, 3937, 267, 9604, 5432, 1436, 267, 543, 10512, 4058, 269, 3958, 267, 789, 4309, 6044, 538, 20614, 2127, 899, 2527, 13680, 1399, 2359, 267, 1973, 13871, 13596, 1852, 267, 543, 13818, 2326, 7829, 269, 10020, 10391, 21195, 8597, 547, 1585, 3318, 10080, 267, 8151, 689, 7127, 7400, 28365, 15444, 25629, 547, 4810, 8184, 23262, 563, 273, 269, 16811, 19139, 281, 30785, 10591, 5542, 5849, 570, 32209, 8502, 3106, 543, 7145, 269, 9608, 8825, 3937, 630, 13048, 292, 264, 695, 3658, 873, 1996, 1761, 6937, 1247, 4509, 10688, 269, 7981, 1242, 2564, 20164, 2270, 1898, 7727, 3358, 547, 519, 5692, 9043, 267, 6220, 3688, 899, 4663, 333, 1172, 1115, 267, 646, 2865, 1738, 8069, 267, 543, 21572, 2359, 3457, 269, 8752, 7076, 267, 15409, 2792, 1949, 7520, 11558, 1063, 2319, 2818, 543, 5007, 2200, 563, 274, 269, 7358, 1049, 12020, 281, 21988, 570, 32209, 5610, 19329, 9488, 7041, 543, 5698, 1851, 8639, 269, 4521, 11268, 267, 3595, 13623, 267, 543, 824, 8041, 960, 1927, 547, 3715, 2312, 6859, 267, 30431, 622, 5107, 267, 21138, 2200, 267, 543, 24667, 12838, 20314, 1890, 4566, 269, 7464, 2065, 9183, 2861, 5751, 948, 2697, 10616, 543, 13217, 12485, 563, 275, 269, 5549, 1211, 5004, 281, 4438, 4238, 267, 570, 32209, 4559, 1599, 607, 7533, 3334, 540, 10071, 4971, 3889, 269, 1358, 12840, 5702, 609, 593, 27214, 2940, 3401, 267, 4687, 1344, 543, 14577, 2994, 1759, 593, 9687, 6381, 269, 13229, 2792, 267, 12319, 267, 543, 8989, 2853, 5512, 3608, 4199, 14305, 267, 1981, 5786, 267, 543, 2022, 2987, 322, 1211, 2079, 563, 276, 269, 8033, 5224, 4065, 543, 10866, 26094, 281, 8617, 5578, 24200, 267, 11925, 267, 543, 19014, 3895, 5571, 15334, 1646, 1851, 570, 32209, 4648, 269, 5015, 267, 11826, 3181, 4361, 902, 1739, 4890, 2621, 6536, 6024, 1565, 543, 6454, 267, 7175, 3906, 547, 3082, 741, 4507, 543, 5773, 9935, 780, 14483, 12367, 543, 10241, 692, 30874, 9496, 518, 13685, 723, 1831, 606, 24034, 4641, 5001, 267, 25967, 1681, 519, 991, 585, 7347, 570, 32209, 3292, 269, 20985, 7341, 899, 19134, 5112, 3117, 7185, 543, 17547, 519, 28563, 539, 5859, 11168, 2038, 20178, 720, 1852, 543, 4028, 1569, 547, 4274, 2564, 1416, 1282, 891, 16839, 780, 11101, 267, 8441, 538, 7658, 25924, 2709, 3078, 7399, 585, 6552, 15360, 543, 5583, 267, 3850, 570, 32209, 7426, 547, 7148, 883, 11285, 5796, 950, 21947, 609, 4101, 2665, 269, 14044, 4641, 2029, 849, 6585, 9153, 538, 18187, 908, 10853, 28365, 7653, 585, 15138, 2866, 2833, 780, 6962, 692, 307, 716, 673, 17073, 6481, 7896, 4564, 513, 2629, 10137, 540, 661, 5960, 267, 28043, 519, 7934, 1063, 840, 327, 2214, 1388, 1416, 543, 28365, 4238, 269, 1306, 2486, 5170, 21679, 609, 5051, 6946, 3354, 2591, 267, 519, 1909, 540, 570, 32209, 786, 2611, 11358, 538, 17420, 1312, 4431, 518, 10304, 543, 1857, 3106, 269, 5441, 1053, 13197, 11678, 538, 631, 19075, 270, 5472, 1221, 2657, 7896, 1131, 4324, 689, 11543, 13654, 1702, 540, 713, 4241, 7449, 2133, 1399, 267, 4259, 519, 3942, 585, 2104, 2208, 543, 5647, 538, 519, 7706, 540, 6595, 2564, 3210, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 28770, 11765, 6481, 7896, 630, 32209, 994, 28770, 11765, 6481, 7896, 630, 32209, 264, 568, 6131, 547, 3246, 856, 6361, 3620, 2214, 1388, 2564, 1416, 547, 2550, 7092, 689, 4576, 610, 7063, 269, 634, 661, 5960, 1062, 2882, 476, 280, 268, 272, 268, 272, 2598, 6312, 7129, 267, 3689, 29594, 619, 267, 17073, 6481, 3353, 5974, 630, 4932, 307, 781, 1070, 543, 3474, 3139, 923, 269, 769, 519, 4975, 540, 12653, 686, 9508, 267, 519, 9605, 4972, 568, 3743, 585, 3246, 661, 5960, 2533, 547, 519, 2146, 269, 634, 12653, 686, 9508, 9605, 4972, 568, 9280, 609, 519, 2866, 267, 10986, 543, 2645, 2556, 547, 4431, 12905, 547, 1022, 6595, 563, 13640, 3139, 923, 543, 15444, 307, 781, 616, 8036, 547, 5431, 543, 1521, 1272, 18446, 2175, 267, 971, 607, 2295, 4323, 543, 8482, 269, 16797, 543, 4977, 2564, 3375, 6194, 676, 12653, 686, 9508, 15444, 307, 781, 543, 3474, 3139, 923, 568, 4105, 547, 3461, 3106, 543, 17046, 6413, 2126, 269, 661, 5960, 849, 1193, 1161, 547, 2226, 519, 1072, 543, 3106, 540, 519, 2146, 998, 1857, 3106, 2533, 267, 971, 607, 2146, 2069, 267, 1519, 31214, 543, 3689, 5025, 573, 543, 1631, 998, 21091, 7991, 16195, 907, 5016, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 716, 673, 17073, 6481, 7896, 630, 307, 32209, 17983, 607, 851, 540, 834, 25503, 1315, 20466, 2657, 7896, 1315, 17073, 6481, 7896, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 276, 14204, 273, 269, 6733, 585, 513, 2009, 1297, 602, 666, 2285, 513, 3501, 4009, 585, 519, 6967, 2474, 543, 540, 1576, 8726, 1297, 3773, 610, 10208, 539, 689, 519, 824, 2427, 1058, 581, 519, 1482, 1297, 543, 5106, 547, 519, 824, 2427, 540, 519, 3830, 3248, 259, 346, 343, 8703, 273, 348, 910, 476, 277, 1535, 1422, 3667, 10233, 346, 1042, 2410, 266, 476, 280, 348, 815, 476, 276, 1422, 3667, 10233, 346, 1042, 2410, 266, 476, 280, 21456, 274, 269, 3973, 519, 1265, 519, 2188, 282, 3501, 4009, 593, 519, 2451, 2427, 535, 519, 3830, 912, 7445, 3847, 3287, 910, 476, 274, 9368, 264, 1422, 3847, 3287, 910, 476, 274, 9368, 264, 815, 476, 1691, 14204, 21851, 3847, 3287, 910, 476, 274, 9368, 264, 8703, 273, 348, 815, 476, 1691, 14204, 275, 269, 17179, 519, 4009, 676, 8380, 4399, 6912, 346, 338, 348, 1775, 575, 562, 259, 593, 519, 2451, 2427, 543, 798, 519, 1482, 547, 519, 1318, 2427, 912, 7445, 6912, 346, 3189, 3847, 3287, 910, 476, 274, 9368, 264, 8703, 273, 3686, 815, 1422, 10975, 1422, 6912, 346, 1691, 21456, 276, 269, 22217, 1518, 519, 3830, 454, 259, 343, 910, 476, 274, 815, 1422, 10975, 1422, 6912, 346, 1691, 21456, 277, 269, 1772, 25544, 1269, 343, 259, 676, 4946, 476, 274, 1312, 5011, 540, 519, 3830, 912, 259, 343, 1422, 322, 30327, 24877, 476, 274, 348, 1422, 322, 30327, 346, 266, 476, 274, 348, 815, 476, 274, 1422, 10975, 1422, 6912, 346, 1691, 21456, 259, 343, 815, 476, 274, 1422, 10975, 1422, 6912, 346, 1691, 21456, 278, 269, 634, 2626, 568, 1269, 343, 815, 476, 274, 1341, 1422, 6912, 346, 1691, 4151, 543, 1269, 343, 815, 476, 274, 910, 1422, 6912, 346, 1691, 4151, 0, 2162, 20497, 9119, 692, 2998, 1023, 454, 4002, 9513, 606, 2376, 585, 1269, 20745, 268, 273, 267, 25953, 8961, 7443, 540, 1269, 1015, 259, 2600, 568, 1500, 912, 8340, 630, 328, 264, 1942, 3902, 540, 519, 2376, 563, 3963, 798, 649, 991, 606, 4994, 1297, 888, 8340, 519, 1871, 540, 1269, 280, 315, 260, 259, 540, 1269, 279, 2412, 271, 259, 4846, 563, 288, 812, 1902, 338, 12652, 269, 1269, 5379, 279, 4037, 259, 693, 1269, 275, 315, 260, 259, 829, 3045, 636, 7623, 1719, 585, 1269, 274, 259, 1296, 563, 288, 812, 1902, 338, 12652, 269, 1269, 5379, 279, 4037, 259, 693, 1269, 275, 315, 260, 259, 829, 3045, 636, 7623, 1719, 585, 1269, 274, 259, 1296, 269, 0, 9943, 692, 9943, 692, 258, 10298, 585, 3848, 476, 275, 10611, 281, 2598, 4740, 9119, 543, 4706, 10241, 476, 278, 628, 9990, 692, 1012, 9509, 3435, 585, 2598, 4740, 9119, 543, 4706, 10241, 1923, 476, 278, 628, 9990, 692, 25835, 281, 476, 7818, 23669, 24783, 29616, 276, 692, 22069, 1903, 585, 3848, 476, 275, 10611, 692, 22069, 1903, 585, 3848, 476, 275, 10611, 454, 275, 476, 276, 476, 271, 476, 4343, 277, 17352, 454, 1626, 454, 271, 454, 7462, 9768, 281, 476, 7818, 23669, 24783, 29616, 276, 692, 6637, 476, 275, 10611, 2882, 476, 736, 2407, 1900, 8386, 9912, 3435, 269, 901, 1837, 6668, 3391, 729, 2813, 585, 519, 1837, 281, 2598, 4740, 9119, 543, 4706, 10241, 267, 7160, 281, 476, 278, 269, 4595, 476, 736, 2042, 538, 3184, 476, 275, 10611, 723, 1044, 12943, 267, 811, 982, 476, 23470, 1911, 1053, 723, 9763, 2407, 1900, 8386, 9912, 3435, 689, 713, 3184, 269, 901, 27763, 1837, 6668, 3391, 6227, 519, 1739, 11271, 543, 741, 3435, 269, 2598, 4740, 9119, 543, 4706, 10241, 729, 2854, 676, 543, 568, 2404, 547, 519, 9768, 281, 476, 7818, 23669, 24783, 29616, 276, 780, 7659, 4569, 16301, 543, 8847, 4988, 538, 713, 1837, 454, 1892, 595, 1993, 18503, 595, 6359, 780, 7230, 913, 4737, 1775, 543, 6241, 795, 282, 9062, 519, 24572, 676, 11196, 296, 264, 328, 1341, 795, 3040, 692, 1892, 2155, 5024, 14290, 9474, 815, 22601, 780, 2252, 15497, 14184, 267, 789, 2671, 562, 14802, 27523, 780, 1892, 13159, 3070, 1535, 815, 1535, 533, 1341, 2473, 333, 547, 16547, 815, 536, 780, 263, 8512, 7781, 1535, 533, 264, 1341, 630, 343, 562, 538, 14275, 11898, 6393, 1892, 16448, 1297, 692, 1718, 10490, 264, 815, 524, 10490, 264, 815, 4083, 9590, 331, 2862, 288, 268, 7656, 815, 993, 1314, 331, 3133, 269, 769, 16547, 815, 536, 267, 519, 3448, 1689, 19129, 2135, 8633, 19129, 343, 4083, 568, 1447, 982, 7873, 10490, 264, 2053, 519, 3448, 1689, 19129, 984, 8633, 5391, 4083, 6440, 16448, 2338, 2268, 519, 8417, 540, 519, 3977, 547, 1689, 538, 519, 3403, 780, 288, 5311, 540, 3268, 630, 754, 540, 3848, 476, 280, 264, 547, 4194, 2318, 17386, 16547, 815, 536, 676, 10893, 8206, 343, 570, 16547, 910, 1535, 570, 321, 936, 3395, 918, 787, 21754, 1016, 4944, 2167, 780, 1892, 20676, 545, 6521, 692, 306, 269, 18983, 16615, 609, 590, 2641, 815, 476, 272, 267, 590, 3953, 815, 476, 272, 267, 3267, 2073, 6368, 590, 1103, 815, 476, 272, 269, 4706, 27744, 616, 519, 32671, 5072, 552, 273, 331, 20891, 14672, 540, 476, 272, 282, 14802, 27523, 616, 9587, 540, 519, 22263, 5119, 674, 780, 1892, 4144, 21192, 5119, 667, 780, 323, 6359, 815, 476, 271, 952, 1775, 1948, 268, 795, 269, 13332, 26817, 21192, 281, 4642, 3544, 4009, 7161, 13660, 780, 1892, 4144, 21192, 14184, 5119, 589, 780, 300, 755, 723, 562, 4830, 14802, 27523, 630, 514, 519, 9587, 540, 590, 282, 13128, 609, 562, 1114, 27744, 1040, 3973, 590, 16927, 6789, 815, 589, 815, 14802, 7407, 5119, 780, 1892, 8278, 3559, 517, 5119, 772, 780, 763, 1101, 1875, 14706, 7127, 630, 1492, 22141, 264, 538, 1142, 4737, 2501, 538, 513, 2663, 6241, 982, 519, 22141, 538, 519, 3105, 4737, 269, 2353, 4642, 9343, 2097, 2063, 780, 1892, 16258, 22263, 17992, 630, 293, 10499, 6393, 288, 26458, 540, 519, 22263, 5119, 674, 333, 883, 552, 815, 2845, 273, 562, 14290, 13961, 2053, 513, 32089, 269, 3962, 13961, 2115, 1152, 562, 331, 273, 3818, 4124, 267, 865, 674, 333, 343, 543, 674, 333, 268, 272, 322, 666, 581, 17223, 609, 683, 270, 273, 3818, 4124, 269, 21829, 780, 1892, 25828, 2338, 692, 271, 267, 272, 267, 272, 267, 273, 267, 274, 267, 276, 267, 3267, 14183, 674, 333, 815, 674, 333, 2000, 1341, 674, 333, 268, 476, 273, 815, 630, 288, 278, 910, 288, 349, 264, 296, 3890, 336, 910, 288, 273, 1040, 12618, 2557, 1325, 815, 630, 272, 1341, 1547, 297, 276, 264, 476, 1321, 568, 519, 4102, 14802, 7407, 540, 519, 25828, 5119, 1496, 7684, 589, 316, 780, 1892, 18527, 16547, 692, 284, 2473, 331, 630, 26383, 476, 272, 264, 1341, 3267, 1341, 1535, 333, 263, 26383, 562, 264, 815, 4999, 540, 9587, 780, 1892, 11638, 680, 1512, 552, 6359, 780, 763, 22141, 4737, 795, 568, 16611, 676, 552, 6359, 543, 10208, 539, 689, 4737, 1775, 547, 9004, 519, 1775, 267, 795, 7127, 281, 552, 6359, 815, 630, 18782, 547, 9004, 264, 1315, 630, 329, 628, 22141, 6393, 1892, 13106, 23585, 5119, 1627, 780, 306, 13645, 5119, 609, 9647, 517, 5436, 9587, 267, 865, 1627, 307, 815, 1627, 2000, 269, 3465, 12883, 3259, 543, 7285, 267, 4083, 304, 343, 961, 815, 4083, 343, 961, 543, 630, 304, 311, 264, 307, 263, 304, 344, 264, 815, 1535, 307, 344, 269, 2353, 331, 9590, 815, 476, 272, 267, 609, 26667, 14802, 27523, 269, 6201, 281, 15585, 566, 267, 8086, 267, 32089, 780, 1892, 13106, 23585, 1016, 4944, 2167, 780, 9336, 642, 538, 966, 568, 26667, 547, 1169, 530, 538, 654, 780, 1892, 623, 26696, 5119, 692, 11679, 815, 533, 26696, 3799, 264, 815, 519, 21136, 5119, 609, 23481, 13366, 630, 328, 272, 349, 282, 273, 1040, 623, 338, 815, 12813, 10658, 782, 2270, 623, 26696, 781, 6906, 609, 1033, 815, 476, 272, 630, 5408, 623, 26696, 538, 519, 4994, 6393, 1892, 590, 18150, 1448, 540, 594, 3287, 9574, 3267, 2073, 343, 333, 3738, 780, 288, 1448, 1141, 519, 1101, 16755, 540, 594, 616, 4642, 543, 519, 2034, 12045, 5119, 630, 320, 273, 4083, 513, 311, 328, 4949, 795, 815, 670, 612, 1014, 5119, 264, 568, 22543, 9548, 780, 1892, 9208, 4493, 585, 681, 333, 780, 8624, 8435, 540, 562, 676, 562, 3961, 5119, 630, 25740, 1775, 2073, 329, 2073, 330, 538, 681, 274, 6393, 1892, 6641, 13240, 5119, 589, 780, 763, 1098, 2821, 568, 11083, 815, 589, 267, 543, 513, 308, 815, 513, 795, 328, 269, 589, 16927, 568, 849, 21136, 780, 1892, 11730, 540, 4216, 780, 763, 9343, 630, 528, 519, 9587, 264, 540, 589, 5352, 513, 4216, 609, 4320, 594, 1033, 10490, 264, 594, 269, 0, 279, 628, 3446, 2979, 19593, 592, 4548, 616, 9425, 3044, 2066, 519, 772, 2529, 1421, 609, 5634, 7648, 689, 1533, 547, 1533, 269, 18738, 713, 2376, 596, 786, 1265, 519, 2101, 3584, 707, 1453, 786, 581, 4974, 538, 476, 279, 628, 3446, 2979, 269, 2060, 713, 1702, 540, 519, 476, 279, 628, 3446, 2979, 6437, 267, 596, 786, 581, 2111, 547, 1732, 1174, 1018, 1826, 540, 2042, 543, 3584, 707, 1453, 786, 581, 2324, 593, 538, 519, 476, 279, 628, 3446, 780, 1012, 476, 279, 628, 6103, 4569, 15099, 11762, 630, 4415, 26479, 2020, 2162, 7054, 16884, 10606, 692, 296, 337, 16884, 2338, 616, 2338, 602, 3112, 581, 6829, 607, 513, 5223, 543, 723, 606, 12808, 1875, 3146, 2017, 2590, 7269, 950, 6829, 607, 513, 8918, 269, 3852, 510, 630, 303, 328, 264, 568, 606, 1383, 540, 606, 19450, 1297, 269, 898, 4422, 593, 11014, 950, 6829, 607, 513, 8918, 1775, 4318, 269, 476, 274, 269, 15221, 30020, 4792, 274, 2507, 1510, 2479, 18110, 513, 4806, 269, 898, 3112, 581, 6829, 607, 1022, 2241, 5223, 269, 589, 7787, 1297, 1131, 581, 1945, 899, 476, 275, 270, 274, 269, 2755, 950, 6829, 607, 513, 8918, 621, 1281, 979, 593, 11014, 630, 272, 269, 18357, 18357, 18357, 274, 2507, 1070, 621, 28197, 519, 1482, 4806, 540, 476, 274, 338, 267, 7429, 13100, 799, 814, 1100, 4806, 269, 769, 476, 279, 628, 3446, 2979, 1053, 1451, 547, 960, 609, 19450, 2338, 780, 2162, 16572, 540, 5890, 7859, 692, 2304, 20800, 568, 513, 7274, 8204, 519, 1379, 547, 799, 513, 2016, 1297, 610, 4082, 568, 547, 581, 6659, 267, 2356, 6829, 607, 513, 6659, 3090, 22290, 519, 1297, 610, 4082, 630, 324, 3052, 269, 476, 274, 538, 476, 273, 317, 274, 815, 476, 273, 6398, 476, 273, 6398, 476, 273, 1040, 769, 476, 279, 628, 3446, 2979, 1053, 1451, 547, 1039, 267, 10208, 267, 9062, 543, 7941, 609, 23055, 780, 2162, 11660, 3502, 566, 692, 26199, 10035, 568, 513, 1259, 547, 2769, 5318, 543, 6263, 2338, 607, 513, 1587, 540, 476, 1015, 865, 602, 519, 1297, 568, 4443, 547, 1224, 269, 1160, 343, 9874, 2578, 4768, 328, 267, 519, 14191, 5182, 547, 3618, 267, 568, 476, 2412, 267, 21172, 267, 1822, 267, 1822, 267, 1822, 5998, 2476, 269, 634, 2527, 540, 513, 7250, 11046, 568, 476, 271, 269, 1822, 1822, 1822, 1822, 1822, 1822, 1822, 1822, 15757, 10101, 269, 1452, 616, 930, 1806, 602, 616, 2182, 547, 1224, 543, 960, 609, 269, 11660, 10035, 568, 513, 1259, 547, 1118, 891, 2338, 4443, 547, 1224, 269, 1924, 519, 3845, 547, 1160, 343, 9874, 2578, 4768, 328, 1131, 581, 2854, 607, 476, 275, 269, 22903, 279, 1535, 476, 1015, 317, 1724, 543, 519, 2527, 540, 513, 7250, 11046, 1131, 581, 2854, 607, 476, 272, 269, 6858, 1535, 476, 1015, 28260, 1839, 692, 2162, 12384, 24306, 543, 28116, 24306, 692, 288, 4009, 3597, 568, 513, 1297, 799, 7472, 513, 9138, 7274, 950, 16611, 676, 3294, 780, 278, 568, 513, 4009, 3597, 540, 476, 5392, 1317, 476, 278, 1535, 476, 278, 568, 476, 5392, 269, 634, 13306, 3597, 540, 513, 1297, 568, 513, 2027, 1871, 602, 267, 950, 1031, 538, 513, 8691, 540, 3294, 1614, 2053, 267, 3947, 602, 1297, 269, 1280, 1383, 267, 519, 13306, 3597, 540, 476, 2767, 568, 476, 274, 1317, 476, 274, 6398, 476, 274, 6398, 476, 274, 815, 476, 2767, 269, 769, 476, 279, 628, 3446, 2979, 1053, 1451, 547, 960, 609, 4009, 5072, 543, 7750, 539, 5072, 780, 2162, 4985, 547, 7010, 540, 12307, 692, 288, 3590, 540, 12430, 12307, 568, 950, 649, 723, 1079, 610, 811, 5276, 4834, 2324, 1927, 269, 589, 12430, 17817, 568, 606, 3830, 585, 513, 1899, 593, 513, 3113, 269, 1703, 616, 1082, 8320, 538, 519, 1483, 8996, 2796, 1141, 1949, 540, 5276, 4834, 666, 581, 4294, 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 ]
[ 0, 15916, 543, 10950, 547, 713, 3102, 3391, 593, 21517, 269, 19964, 616, 1898, 547, 8497, 1686, 267, 2528, 267, 543, 1702, 269, 1358, 616, 1065, 21627, 1559, 540, 1344, 543, 13742, 602, 723, 1044, 6394, 543, 11231, 585, 946, 676, 3173, 267, 12206, 267, 543, 519, 1857, 269, 769, 713, 2376, 267, 649, 786, 1865, 3388, 596, 991, 547, 917, 827, 21517, 267, 689, 741, 1686, 543, 3483, 547, 741, 3919, 543, 2359, 269, 1924, 267, 1577, 779, 1205, 3323, 2336, 763, 3778, 540, 19964, 454, 19425, 1161, 723, 513, 1279, 543, 4241, 1686, 267, 6580, 1394, 547, 3504, 12977, 971, 607, 5527, 267, 10255, 267, 543, 7507, 269, 634, 3504, 21072, 267, 585, 1383, 267, 6854, 3573, 5638, 540, 741, 3232, 2729, 267, 1519, 1870, 8852, 267, 3909, 12738, 267, 543, 1256, 2564, 5574, 563, 1103, 519, 5664, 12698, 267, 21517, 941, 5097, 1031, 676, 519, 5783, 543, 519, 28665, 547, 1832, 5638, 540, 741, 22590, 267, 22864, 267, 543, 3656, 6054, 269, 1452, 21517, 941, 1419, 6854, 538, 20708, 625, 543, 28151, 267, 543, 941, 3015, 1152, 547, 513, 2824, 1906, 563, 2005, 729, 711, 2394, 519, 476, 866, 628, 2540, 602, 21517, 2968, 811, 3015, 547, 519, 1857, 269, 634, 3943, 7169, 267, 585, 1383, 267, 3366, 547, 519, 5137, 540, 3084, 21517, 538, 1082, 3864, 2477, 267, 799, 1500, 2229, 5638, 543, 3140, 6054, 2139, 547, 519, 1857, 585, 519, 1101, 942, 563, 9213, 267, 21517, 616, 606, 1898, 851, 540, 2413, 2486, 267, 8497, 938, 2686, 6561, 543, 3246, 1569, 547, 519, 2250, 563, 763, 20828, 540, 19964, 454, 763, 3483, 540, 21517, 568, 547, 2445, 543, 8190, 5638, 543, 13742, 602, 616, 540, 11972, 1871, 547, 2486, 269, 1452, 5638, 949, 1331, 2229, 6054, 267, 2123, 4574, 267, 11147, 267, 7851, 267, 543, 24384, 990, 529, 783, 2326, 563, 19425, 1161, 4196, 1082, 1271, 3252, 267, 971, 607, 912, 347, 15430, 3569, 1475, 19425, 1161, 616, 3743, 585, 4180, 519, 1279, 3856, 11091, 540, 3140, 5638, 543, 13742, 8198, 347, 16966, 1475, 19425, 1161, 1683, 1569, 547, 3140, 5638, 543, 13742, 267, 3850, 3173, 543, 519, 1857, 547, 1451, 827, 519, 2250, 8198, 347, 28398, 1464, 1475, 19425, 1161, 3180, 6608, 543, 3906, 18177, 676, 8497, 5638, 540, 741, 3527, 543, 3664, 8198, 23277, 25514, 1475, 19425, 1161, 4196, 607, 513, 7104, 3965, 540, 2486, 267, 8497, 519, 2984, 543, 2833, 540, 1004, 543, 2950, 8198, 763, 9257, 540, 19964, 454, 763, 3919, 540, 21517, 666, 4268, 4470, 593, 519, 1826, 540, 21287, 543, 519, 2326, 621, 3568, 269, 1717, 267, 1034, 21517, 1246, 513, 2147, 10721, 2497, 267, 799, 2882, 912, 763, 1101, 1900, 538, 12180, 606, 21287, 568, 547, 1020, 513, 4015, 3609, 269, 901, 3609, 14592, 519, 9165, 540, 519, 21287, 779, 4015, 267, 1519, 519, 2010, 540, 2326, 621, 786, 2445, 543, 519, 7355, 585, 8939, 873, 563, 10907, 638, 9974, 543, 2561, 26150, 454, 5629, 519, 4015, 3609, 568, 3964, 267, 519, 21287, 786, 2253, 16565, 2326, 269, 901, 949, 4125, 16561, 23190, 689, 2043, 543, 3906, 610, 8362, 5275, 856, 2326, 998, 23793, 543, 1382, 563, 5629, 2326, 616, 9715, 267, 789, 616, 813, 571, 2213, 547, 3313, 741, 3140, 1871, 543, 4644, 269, 901, 2337, 519, 21287, 4225, 799, 2326, 547, 8190, 543, 1118, 3015, 563, 6635, 9792, 618, 543, 13517, 454, 5475, 2326, 616, 9715, 543, 813, 571, 2213, 267, 789, 616, 11231, 543, 4330, 269, 901, 3322, 12180, 2326, 883, 9266, 1895, 902, 543, 2870, 2143, 11673, 540, 1142, 6221, 610, 1895, 540, 3688, 563, 6635, 9792, 618, 543, 6609, 948, 3173, 1265, 543, 946, 2326, 811, 3362, 267, 543, 849, 948, 2895, 643, 1235, 4383, 543, 8190, 519, 2326, 936, 942, 563, 15430, 3569, 543, 7457, 454, 763, 3803, 1900, 538, 12180, 606, 21287, 568, 547, 8190, 543, 1683, 1569, 547, 519, 2326, 269, 901, 3322, 2870, 606, 3617, 4859, 1604, 585, 519, 2326, 267, 607, 1134, 607, 3246, 1569, 547, 3173, 543, 519, 1857, 998, 4466, 11226, 267, 22331, 9233, 267, 543, 824, 2645, 563, 31572, 606, 21287, 666, 581, 513, 1950, 543, 4101, 4305, 269, 5246, 643, 1235, 1590, 3666, 519, 11091, 540, 3140, 2326, 609, 519, 991, 547, 1118, 873, 3015, 547, 3173, 543, 519, 1857, 563, 5278, 1883, 3344, 540, 21287, 2359, 1331, 912, 19425, 1161, 2154, 9952, 4648, 547, 4383, 543, 8190, 3140, 2326, 269, 901, 949, 1331, 2895, 643, 1235, 267, 7172, 12579, 267, 11122, 2209, 267, 543, 824, 12665, 563, 22897, 4249, 606, 1271, 1909, 538, 2413, 21517, 267, 689, 7857, 1436, 543, 2228, 1569, 547, 3059, 11091, 543, 1239, 2359, 563, 19425, 1161, 2154, 7616, 547, 1489, 741, 4238, 267, 1519, 5234, 532, 267, 6703, 267, 543, 3937, 269, 3509, 21517, 4309, 7616, 689, 2229, 8041, 267, 4357, 13210, 267, 543, 1367, 22881, 563, 1432, 568, 606, 21287, 888, 2304, 21287, 568, 513, 23789, 540, 3140, 5638, 543, 13742, 602, 616, 540, 11972, 1871, 547, 2486, 269, 1452, 5638, 949, 1331, 2229, 6054, 267, 2123, 4574, 267, 11147, 267, 7851, 267, 543, 24384, 990, 529, 783, 2326, 563, 1432, 568, 519, 3483, 540, 21517, 888, 763, 3483, 540, 21517, 568, 547, 2445, 543, 8190, 5638, 543, 13742, 602, 616, 540, 11972, 1871, 547, 2486, 269, 19964, 4196, 1082, 1271, 3252, 267, 971, 607, 11091, 267, 1569, 267, 12477, 267, 543, 3965, 563, 1692, 616, 21517, 6896, 888, 763, 3919, 540, 21517, 666, 4268, 4470, 593, 519, 1826, 540, 21287, 543, 519, 2326, 621, 3568, 269, 1717, 267, 1034, 21517, 1246, 513, 2147, 10721, 2497, 267, 799, 2882, 4015, 1646, 267, 11601, 543, 813, 26150, 267, 11460, 543, 6609, 267, 543, 11091, 543, 1569, 563, 1432, 568, 21287, 2359, 888, 19425, 633, 2359, 3322, 519, 2359, 543, 11091, 540, 3140, 2326, 538, 606, 21287, 269, 901, 949, 1331, 5234, 532, 267, 2029, 267, 543, 7616, 563, 1692, 666, 594, 1569, 21517, 888, 19425, 1161, 949, 581, 15600, 538, 1268, 693, 519, 21287, 779, 2168, 4087, 267, 610, 2228, 998, 4466, 11226, 267, 22331, 9233, 267, 543, 824, 2645, 269, 7457, 547, 21517, 949, 581, 11658, 538, 930, 2665, 1813, 547, 7834, 4145, 610, 824, 3656, 9993, 563, 19425, 1161, 616, 606, 1898, 851, 540, 8497, 938, 2686, 6561, 543, 3246, 1569, 547, 519, 2250, 269, 1358, 4196, 1082, 1271, 3252, 267, 971, 607, 11091, 267, 1569, 267, 12477, 267, 543, 3965, 563, 1103, 713, 2376, 267, 649, 723, 5941, 519, 1686, 543, 3483, 540, 21517, 267, 607, 1134, 607, 741, 3919, 543, 2359, 269, 1284, 4126, 602, 713, 3391, 814, 1044, 5363, 538, 1620, 519, 2956, 540, 21517, 543, 875, 789, 616, 7307, 543, 12873, 585, 2104, 5481, 269, 0, 9281, 17092, 543, 631, 2975, 305, 8943, 281, 5980, 585, 2622, 4204, 3955, 23810, 11038, 17791, 23890, 630, 14684, 9281, 307, 1070, 568, 606, 3486, 1875, 17416, 18756, 11262, 543, 2196, 9003, 676, 4759, 8492, 269, 17335, 9281, 307, 3009, 2636, 2724, 19132, 1063, 1079, 8492, 5001, 9001, 606, 5907, 5048, 4483, 1062, 602, 15920, 6835, 538, 840, 20452, 12043, 607, 4166, 607, 8852, 1491, 1747, 11451, 563, 6944, 337, 3320, 267, 606, 594, 12396, 290, 3009, 568, 8246, 950, 519, 4483, 540, 7482, 1063, 8492, 4386, 1369, 3127, 779, 13664, 7182, 269, 901, 21229, 12185, 3009, 14439, 799, 7936, 540, 513, 4871, 2535, 919, 538, 5907, 2508, 4483, 1949, 585, 2508, 2359, 563, 14684, 9281, 307, 9479, 543, 594, 12396, 290, 9479, 616, 1079, 3982, 8446, 9479, 2838, 950, 27510, 606, 5907, 2724, 4483, 269, 1703, 616, 930, 1883, 3604, 1063, 519, 1079, 602, 786, 581, 5941, 1369, 713, 21626, 689, 606, 2376, 563, 31711, 519, 631, 2975, 305, 8943, 454, 300, 2975, 305, 6763, 585, 25080, 769, 330, 10886, 23779, 267, 799, 568, 1031, 547, 1184, 1750, 13196, 269, 901, 3009, 2636, 596, 547, 3362, 1184, 5215, 540, 11974, 267, 799, 1031, 547, 581, 513, 2101, 15677, 269, 634, 3009, 568, 8370, 9704, 1279, 543, 1152, 3568, 2338, 269, 634, 3009, 14439, 519, 7936, 543, 519, 4871, 602, 9783, 519, 2638, 269, 634, 1101, 1614, 9704, 2099, 519, 2749, 267, 519, 1985, 1614, 2099, 519, 2012, 540, 519, 4871, 543, 519, 2063, 1614, 2995, 519, 4087, 540, 519, 7936, 563, 1607, 631, 2975, 305, 3009, 585, 1142, 7936, 568, 2189, 269, 631, 2975, 305, 267, 7429, 9804, 1915, 6284, 630, 8016, 305, 1070, 814, 513, 1360, 1970, 5470, 2557, 269, 898, 666, 849, 581, 1224, 676, 3425, 563, 31711, 519, 594, 12396, 290, 8943, 454, 289, 18847, 1899, 634, 4095, 11038, 3590, 8943, 267, 4122, 5219, 547, 607, 606, 594, 12396, 290, 3009, 267, 568, 513, 2189, 8446, 1297, 1031, 547, 12398, 1367, 8371, 602, 7119, 538, 5907, 2724, 4483, 1949, 971, 607, 2817, 18329, 8750, 18734, 630, 301, 9128, 307, 264, 610, 7464, 5384, 24162, 5590, 25557, 630, 20670, 14899, 264, 1369, 3127, 563, 763, 3009, 13408, 21229, 534, 10179, 545, 3197, 799, 666, 581, 1336, 2630, 912, 268, 634, 3355, 2185, 5022, 540, 519, 9904, 2099, 513, 4871, 779, 3009, 563, 268, 12866, 3197, 2270, 21325, 269, 634, 2063, 3670, 3197, 2099, 513, 7936, 3009, 563, 268, 6239, 7813, 540, 3127, 2488, 1169, 4871, 7936, 538, 3127, 609, 606, 594, 12396, 290, 3009, 267, 799, 954, 23810, 4483, 1949, 946, 547, 6494, 8852, 2047, 547, 922, 7936, 563, 11795, 3720, 9737, 594, 12396, 290, 543, 631, 2975, 305, 8943, 454, 19350, 616, 519, 3119, 3604, 1063, 17335, 9281, 307, 9479, 543, 594, 12396, 290, 9479, 267, 607, 13890, 2630, 912, 268, 17335, 9281, 307, 8943, 6763, 585, 5980, 585, 2622, 4204, 3955, 23810, 11038, 17791, 23890, 8943, 1247, 606, 594, 12396, 290, 8943, 18575, 4095, 11038, 3590, 8943, 563, 268, 17335, 9281, 307, 32011, 616, 18368, 29627, 1758, 1242, 9479, 1031, 585, 3486, 5491, 19132, 1063, 8492, 269, 6176, 849, 7575, 11884, 1063, 873, 269, 11531, 267, 606, 594, 12396, 290, 8943, 2488, 2189, 8446, 2338, 540, 5238, 1031, 585, 5907, 2724, 4483, 2533, 563, 268, 634, 17335, 9281, 307, 3009, 568, 9516, 676, 519, 4139, 9257, 585, 9208, 1436, 630, 3041, 302, 1040, 1717, 267, 922, 11218, 1700, 9281, 17092, 3009, 1700, 529, 2813, 676, 519, 15944, 7813, 540, 3127, 630, 305, 10292, 1916, 268, 17335, 9281, 307, 9479, 1152, 11863, 1978, 8492, 547, 7119, 538, 3486, 5911, 19132, 282, 676, 4334, 267, 782, 4095, 8492, 4309, 606, 594, 12396, 290, 3009, 563, 268, 17335, 9281, 307, 9479, 2874, 540, 476, 279, 630, 528, 476, 1556, 264, 3197, 267, 607, 10353, 547, 606, 594, 12396, 290, 3009, 799, 5161, 540, 476, 1556, 563, 268, 3171, 525, 2404, 609, 3486, 7482, 8852, 1210, 17335, 9281, 307, 9479, 4043, 547, 581, 2362, 982, 585, 6469, 19132, 630, 9281, 17092, 9479, 1916, 268, 4855, 17335, 9281, 307, 9479, 2228, 607, 1134, 607, 538, 513, 4871, 779, 3948, 540, 2272, 543, 2638, 1504, 282, 1247, 594, 12396, 290, 9479, 666, 581, 1336, 538, 7813, 1532, 13361, 2638, 9248, 543, 519, 681, 10292, 3896, 563, 347, 13640, 600, 2678, 1475, 14684, 9281, 307, 8943, 1475, 9281, 17092, 8943, 2008, 347, 17359, 4813, 1475, 306, 1539, 1214, 585, 2622, 4204, 3955, 23810, 11038, 17791, 23890, 8943, 1475, 24465, 11038, 3590, 8943, 2008, 19064, 17123, 1475, 5825, 539, 585, 3486, 8852, 1063, 8492, 2066, 519, 1158, 1475, 5825, 539, 585, 6469, 8852, 1369, 3127, 2008, 347, 21920, 1475, 8256, 1235, 540, 476, 279, 268, 1556, 21229, 534, 10179, 545, 3197, 1475, 8256, 1235, 540, 476, 1556, 21229, 534, 10179, 545, 3197, 2008, 347, 26705, 1475, 763, 1101, 476, 275, 3197, 2099, 519, 4871, 3009, 267, 519, 1985, 476, 273, 3197, 2099, 519, 2197, 3009, 267, 519, 1985, 476, 273, 3197, 2099, 519, 4087, 3009, 267, 543, 519, 2063, 476, 274, 3197, 616, 18593, 543, 2099, 519, 7936, 3009, 1475, 763, 1101, 476, 275, 3197, 2099, 519, 4871, 3009, 267, 519, 1985, 1915, 568, 476, 271, 267, 543, 519, 2063, 476, 277, 3197, 2099, 519, 7936, 3009, 2008, 347, 296, 1087, 4240, 1635, 1475, 296, 1087, 4240, 676, 5980, 585, 2622, 4204, 3955, 23810, 11038, 17791, 23890, 1475, 296, 1087, 4240, 676, 15944, 7813, 540, 3127, 2008, 347, 4462, 1664, 5772, 8595, 1475, 15275, 5809, 513, 1808, 4871, 538, 513, 1808, 2197, 1475, 15275, 5809, 513, 1808, 4871, 7936, 538, 3127, 2008, 347, 5825, 720, 1475, 5825, 539, 585, 3486, 5911, 19132, 543, 3444, 31215, 8852, 1475, 5825, 539, 585, 5907, 7482, 19132, 630, 9128, 307, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3781, 540, 1010, 6612, 563, 8601, 1010, 1480, 12755, 267, 8834, 729, 6074, 547, 1352, 23311, 2696, 779, 26600, 269, 634, 20450, 540, 519, 24347, 956, 14550, 1010, 1909, 607, 2212, 540, 519, 5783, 1310, 4906, 685, 24446, 543, 1306, 322, 3290, 269, 8834, 729, 519, 1101, 28831, 267, 543, 24458, 602, 519, 20785, 6854, 741, 5132, 563, 30681, 6170, 1010, 2063, 1296, 538, 7507, 267, 3056, 519, 5783, 998, 20655, 269, 1261, 729, 12004, 344, 1042, 538, 519, 1032, 476, 5038, 267, 16961, 1881, 26700, 16365, 693, 1010, 1378, 7662, 267, 1317, 646, 1767, 646, 729, 711, 17709, 547, 5884, 538, 519, 1482, 1259, 607, 4906, 563, 3891, 729, 12617, 593, 28912, 14629, 267, 543, 853, 269, 8834, 779, 29092, 3821, 568, 3710, 936, 1010, 19772, 563, 1805, 269, 6754, 729, 519, 24347, 548, 540, 519, 22918, 3796, 269, 6969, 8391, 519, 2012, 6754, 267, 646, 729, 1572, 590, 4954, 269, 1261, 729, 513, 6014, 943, 541, 1047, 324, 945, 1990, 7002, 3585, 30201, 3176, 10271, 538, 13243, 269, 23075, 5638, 602, 590, 4954, 729, 1459, 693, 519, 12004, 10455, 3256, 540, 853, 269, 15537, 563, 306, 4954, 729, 10736, 593, 519, 4155, 547, 12456, 2444, 639, 267, 1141, 646, 729, 18188, 547, 30201, 1393, 519, 4168, 2146, 972, 269, 1306, 646, 729, 10707, 2059, 519, 4155, 267, 513, 1390, 1769, 689, 24656, 10393, 11303, 1864, 269, 590, 4954, 729, 9420, 539, 543, 8593, 1055, 1010, 7504, 269, 3973, 513, 5639, 1767, 547, 1864, 267, 968, 306, 4954, 267, 590, 4954, 267, 1946, 798, 596, 30201, 1393, 803, 9495, 1261, 12943, 267, 968, 8005, 616, 596, 267, 7083, 9495, 2441, 1767, 267, 968, 296, 993, 4906, 267, 7247, 596, 616, 30201, 5024, 3034, 306, 4954, 4797, 547, 12456, 2444, 639, 267, 1141, 646, 729, 19071, 1242, 543, 1036, 7134, 1010, 8289, 269, 1261, 3576, 519, 2012, 6754, 267, 543, 6170, 519, 14230, 540, 1010, 1272, 840, 2286, 519, 20227, 24091, 547, 519, 22918, 956, 540, 519, 11335, 1158, 269, 3571, 5022, 616, 3769, 538, 519, 12591, 540, 519, 1715, 11620, 267, 543, 1469, 1454, 827, 1010, 1272, 543, 519, 5132, 540, 519, 2038, 5783, 563, 26469, 729, 29802, 538, 7507, 267, 1141, 646, 729, 581, 20243, 538, 519, 1032, 476, 6858, 269, 1261, 568, 12617, 538, 7507, 538, 519, 29092, 3821, 540, 853, 269, 6754, 31072, 519, 654, 8712, 563, 1103, 513, 28005, 517, 2016, 538, 476, 4375, 276, 267, 853, 269, 27596, 540, 26194, 334, 1767, 540, 853, 338, 269, 8834, 543, 6754, 281, 968, 13828, 19980, 956, 2671, 519, 1482, 21649, 1554, 267, 585, 891, 1079, 649, 324, 835, 282, 543, 1256, 1498, 789, 11124, 593, 1114, 2395, 267, 789, 941, 607, 835, 269, 8834, 4682, 1101, 267, 543, 6754, 4553, 269, 1656, 865, 649, 8661, 713, 1554, 1500, 13411, 585, 721, 676, 519, 19980, 956, 685, 1973, 269, 2913, 721, 9784, 1018, 789, 5156, 267, 741, 1272, 267, 741, 2978, 832, 267, 741, 7985, 902, 267, 741, 840, 2286, 267, 543, 741, 1476, 11970, 540, 5132, 1848, 0, 296, 666, 1406, 2161, 602, 594, 1589, 540, 519, 16672, 540, 14412, 1454, 2429, 519, 1032, 267, 8259, 594, 6557, 6947, 547, 519, 16803, 3280, 10177, 1188, 269, 1809, 607, 519, 19549, 540, 5147, 14405, 2282, 267, 594, 1419, 11291, 519, 4583, 1913, 602, 1930, 519, 2034, 5037, 912, 2171, 3180, 891, 18408, 547, 581, 1582, 17272, 1211, 267, 602, 782, 2367, 616, 2813, 3160, 269, 2334, 789, 616, 1439, 15735, 676, 741, 29763, 609, 1978, 796, 531, 1329, 762, 7126, 267, 602, 1851, 891, 616, 5020, 267, 23068, 267, 543, 519, 13287, 540, 19732, 1465, 563, 296, 4076, 2141, 6068, 519, 8360, 968, 1492, 13287, 540, 19732, 1465, 892, 1317, 540, 922, 7326, 543, 627, 574, 1910, 269, 634, 2262, 532, 568, 8797, 1317, 8788, 3112, 581, 16798, 269, 898, 849, 8604, 627, 15501, 673, 547, 803, 585, 519, 15713, 18971, 547, 968, 323, 1170, 9876, 519, 2797, 13164, 2223, 968, 4582, 344, 2112, 2223, 543, 2911, 827, 8788, 538, 519, 1482, 2796, 563, 10190, 1586, 267, 594, 4769, 1406, 2731, 917, 1018, 789, 5921, 676, 8788, 563, 763, 7073, 4197, 540, 19732, 1465, 454, 3383, 1018, 1281, 8788, 2965, 1611, 286, 589, 2518, 5619, 593, 519, 1641, 12116, 513, 3126, 540, 10832, 630, 294, 7894, 267, 1272, 19104, 267, 1514, 1489, 267, 3092, 4700, 547, 3313, 513, 4182, 779, 2949, 8788, 2157, 282, 1866, 7048, 593, 1582, 3146, 1636, 532, 269, 968, 295, 1952, 1465, 892, 607, 513, 1533, 540, 1373, 4667, 547, 581, 513, 16148, 267, 2695, 880, 344, 3364, 563, 9377, 20532, 616, 540, 3908, 948, 269, 8585, 26713, 268, 31812, 4016, 547, 8788, 607, 968, 320, 1533, 540, 1134, 5630, 543, 1543, 618, 2223, 543, 519, 10228, 2296, 9218, 8591, 968, 921, 5501, 892, 547, 519, 3575, 269, 1452, 3137, 11168, 606, 1367, 779, 4835, 3929, 1533, 1510, 4704, 547, 1866, 610, 547, 2696, 269, 1358, 6157, 1810, 1406, 2285, 803, 1022, 31452, 593, 875, 547, 581, 6126, 563, 303, 1601, 4601, 519, 2695, 880, 5006, 4214, 540, 8788, 2501, 689, 18500, 2593, 630, 2254, 8209, 519, 979, 3562, 3135, 585, 31597, 18266, 267, 855, 594, 1589, 621, 1148, 10306, 919, 519, 2413, 2070, 2187, 295, 1952, 1465, 568, 602, 4743, 602, 2501, 936, 596, 950, 596, 917, 1272, 568, 1434, 543, 596, 666, 1406, 948, 855, 12837, 269, 898, 779, 519, 6587, 540, 18354, 269, 19732, 1465, 568, 513, 2631, 540, 1134, 5630, 267, 7772, 267, 610, 1543, 618, 269, 1879, 1004, 616, 3811, 267, 610, 2922, 267, 610, 18822, 267, 789, 1745, 8788, 563, 32452, 269, 1403, 713, 568, 3020, 267, 1287, 5821, 267, 16132, 267, 543, 3983, 3377, 10018, 602, 594, 786, 711, 1745, 6126, 269, 17451, 269, 1809, 693, 2547, 594, 786, 723, 513, 2603, 540, 2754, 269, 7085, 687, 540, 1004, 9090, 616, 711, 4743, 968, 338, 22066, 267, 610, 2922, 267, 610, 18822, 892, 713, 1032, 269, 8751, 6563, 779, 19549, 540, 5147, 786, 581, 7429, 1022, 824, 538, 1977, 1686, 630, 5976, 519, 2009, 9868, 540, 5147, 476, 4489, 279, 267, 1282, 519, 5053, 12071, 6855, 1040, 1215, 1281, 835, 7390, 513, 31959, 1247, 4509, 1514, 26865, 286, 24686, 5328, 30145, 786, 581, 751, 4582, 2213, 610, 11540, 547, 13334, 269, 2142, 2851, 616, 6806, 269, 9605, 4103, 10525, 723, 1044, 23545, 539, 269, 7731, 19771, 786, 1413, 1114, 1765, 6588, 526, 18499, 949, 711, 1745, 2922, 547, 6443, 519, 15624, 563, 1607, 25896, 2861, 1620, 540, 8788, 1522, 2491, 513, 2603, 827, 5619, 2164, 689, 519, 2622, 19732, 1465, 7797, 281, 4892, 685, 8788, 2157, 723, 1044, 7678, 532, 18746, 585, 1896, 1296, 269, 634, 1279, 8573, 7342, 4937, 4317, 11752, 267, 513, 1857, 19945, 514, 542, 1382, 1788, 267, 6920, 602, 689, 476, 1960, 271, 547, 519, 1034, 2487, 5619, 538, 4728, 476, 1001, 280, 267, 519, 2475, 4951, 513, 476, 2004, 260, 2333, 538, 29043, 1004, 269, 630, 11693, 519, 5571, 6855, 267, 594, 666, 1152, 4952, 875, 3983, 519, 2338, 1413, 585, 476, 1708, 271, 8094, 1692, 666, 1022, 540, 721, 11654, 8788, 538, 891, 6381, 888, 763, 5853, 532, 12429, 338, 543, 519, 10513, 12429, 338, 454, 763, 1367, 2065, 267, 7553, 12454, 2856, 540, 8788, 568, 711, 1945, 602, 519, 5853, 532, 12429, 338, 540, 519, 2475, 1185, 538, 2247, 950, 789, 5206, 519, 16672, 269, 769, 1249, 267, 741, 1620, 540, 8788, 729, 2965, 1360, 18179, 538, 1082, 2081, 563, 6097, 547, 2278, 2961, 2993, 1230, 330, 4802, 538, 634, 623, 2720, 3726, 540, 19732, 1465, 538, 519, 5853, 532, 16527, 281, 1323, 25827, 3778, 267, 8788, 538, 519, 476, 1240, 628, 2540, 5921, 968, 2006, 779, 2702, 547, 917, 519, 1876, 540, 2470, 543, 2560, 547, 3442, 547, 11654, 513, 1272, 540, 16495, 610, 267, 538, 824, 1913, 267, 513, 1272, 5030, 538, 10103, 609, 1346, 2067, 1876, 3741, 3034, 9617, 514, 667, 9807, 267, 1603, 538, 5398, 5494, 6847, 267, 6045, 2676, 763, 3838, 4282, 10054, 602, 1500, 2631, 540, 519, 538, 531, 1329, 762, 1318, 547, 519, 968, 335, 2720, 3726, 540, 8788, 892, 538, 519, 5853, 532, 5736, 3769, 513, 3661, 602, 2696, 2813, 519, 7122, 543, 519, 2067, 4031, 602, 1463, 519, 7122, 547, 922, 10700, 1439, 610, 19870, 269, 1452, 4031, 1331, 519, 2168, 4031, 602, 1827, 519, 538, 534, 1493, 543, 1875, 8573, 1049, 2694, 540, 5137, 267, 855, 849, 519, 5837, 1876, 540, 1480, 2470, 269, 634, 8545, 5587, 5809, 1018, 13054, 9758, 1480, 1134, 5630, 543, 7551, 2337, 812, 547, 11654, 1010, 1378, 8788, 267, 610, 30436, 267, 676, 2713, 513, 1272, 540, 16495, 563, 6826, 538, 2489, 4075, 6681, 267, 543, 596, 786, 581, 6126, 23102, 5484, 15284, 454, 6546, 779, 9090, 711, 513, 5048, 594, 4076, 4862, 25015, 269, 5994, 3549, 9513, 14420, 609, 21915, 531, 1944, 2592, 540, 4075, 6681, 2713, 607, 513, 8007, 269, 630, 763, 21031, 2648, 16495, 26695, 5978, 6574, 8788, 1281, 711, 4096, 593, 519, 2783, 540, 1272, 538, 799, 4960, 814, 5116, 721, 267, 855, 568, 2141, 519, 1267, 540, 513, 1434, 25903, 267, 1434, 1072, 267, 13567, 267, 543, 5191, 538, 782, 1175, 18697, 563, 1765, 7338, 16962, 454, 7212, 1977, 27428, 899, 7338, 16962, 267, 3627, 17566, 267, 543, 5484, 15284, 4371, 10636, 13454, 3909, 4978, 267, 741, 2070, 540, 513, 29763, 2696, 543, 540, 3571, 1374, 585, 8103, 2798, 547, 1454, 4587, 4168, 2093, 269, 4256, 18381, 729, 27929, 267, 2943, 789, 17477, 513, 26526, 18179, 1620, 602, 2713, 1272, 2687, 547, 2696, 779, 2081, 5012, 547, 20106, 269, 1358, 1131, 723, 8815, 609, 835, 540, 519, 8838, 2088, 22242, 912, 288, 1272, 5030, 538, 21548, 543, 609, 606, 9048, 2889, 778, 762, 25903, 6770, 4708, 267, 22471, 1006, 267, 543, 3020, 8788, 269, 1809, 5763, 267, 8956, 267, 18710, 543, 608, 531, 1540, 2990, 1419, 4196, 607, 519, 2014, 540, 513, 21318, 540, 21359, 267, 543, 971, 8788, 568, 711, 835, 593, 799, 547, 7048, 269, 2443, 853, 269, 25120, 776, 540, 8838, 2088, 454, 8170, 1576, 267, 519, 27428, 12038, 540, 2696, 538, 513, 11397, 267, 791, 5966, 1259, 269, 594, 723, 2370, 6015, 538, 1250, 2702, 547, 1332, 538, 16495, 593, 1250, 1378, 267, 6306, 689, 11755, 543, 519, 5485, 571, 906, 540, 519, 5783, 269, 1280, 519, 18179, 4168, 267, 513, 1272, 540, 16495, 32395, 689, 938, 632, 2305, 538, 2441, 267, 8200, 593, 2696, 779, 2648, 585, 721, 543, 938, 3210, 547, 13924, 563, 2252, 649, 1616, 267, 4168, 267, 547, 723, 938, 12271, 4904, 609, 10143, 2648, 649, 1590, 1101, 8900, 873, 540, 519, 2648, 540, 713, 1158, 267, 922, 9992, 643, 565, 748, 543, 5609, 995, 9821, 543, 1287, 2490, 938, 12271, 547, 519, 835, 2696, 267, 938, 1152, 1434, 543, 8788, 543, 18163, 10726, 3363, 269, 2443, 853, 269, 570, 16554, 517, 540, 2098, 611, 976, 330, 267, 6168, 6936, 8567, 454, 2005, 779, 2352, 547, 4952, 513, 476, 2641, 560, 10601, 1977, 14053, 519, 1318, 547, 11654, 513, 1272, 540, 16495, 269, 1677, 581, 9237, 267, 594, 1810, 1406, 1589, 540, 1250, 1378, 8788, 538, 891, 2474, 269, 1879, 594, 6557, 4743, 29043, 267, 1250, 3210, 568, 711, 267, 968, 2252, 1152, 594, 941, 811, 3461, 17373, 610, 968, 2005, 779, 942, 547, 2285, 2476, 811, 540, 1250, 22590, 17373, 28259, 539, 676, 13719, 8847, 540, 8788, 267, 594, 723, 547, 29596, 7618, 8885, 602, 519, 1483, 3364, 1281, 711, 4096, 593, 5007, 6381, 543, 4657, 4664, 563, 763, 1268, 945, 814, 2620, 5132, 1369, 5128, 267, 543, 4368, 525, 1010, 3007, 593, 519, 1434, 2619, 267, 543, 11394, 547, 2087, 519, 2783, 540, 1010, 9997, 543, 547, 3082, 1010, 2219, 547, 519, 1434, 568, 6126, 269, 2507, 634, 8788, 540, 812, 5161, 538, 5132, 538, 2696, 543, 538, 1434, 6411, 799, 616, 2944, 609, 2648, 269, 2443, 853, 269, 14943, 3873, 601, 540, 15776, 341, 657, 454, 6546, 779, 513, 1390, 4214, 540, 16495, 281, 968, 16591, 6411, 799, 616, 2944, 609, 2648, 2223, 609, 519, 11419, 540, 2696, 607, 13654, 563, 2005, 779, 513, 8788, 602, 779, 4502, 13197, 269, 0, 15507, 11162, 6052, 8889, 8249, 676, 6206, 5320, 454, 30236, 1648, 4346, 5673, 593, 519, 1158, 781, 4872, 267, 799, 8051, 585, 10199, 476, 4037, 829, 1298, 540, 3267, 2518, 1648, 4616, 543, 8511, 3154, 5434, 269, 634, 5180, 14456, 3838, 5380, 593, 1883 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 280, 585, 2228, 12621, 585, 1870, 2359, 269, 6258, 24275, 5276, 4834, 7688, 2055, 585, 20519, 14172, 1449, 543, 15149, 3292, 585, 2228, 20277, 781, 4110, 538, 1870, 7245, 563, 30555, 281, 769, 519, 10288, 6292, 630, 280, 16427, 276, 264, 540, 519, 5276, 3830, 267, 519, 1535, 25435, 568, 454, 30555, 281, 769, 519, 21370, 6041, 540, 2786, 1899, 267, 519, 1271, 10305, 616, 454, 30555, 281, 634, 4473, 540, 2786, 1899, 2059, 1535, 14289, 689, 2451, 547, 1318, 568, 1572, 454, 30555, 281, 769, 519, 10288, 6292, 11196, 279, 267, 277, 264, 540, 519, 5276, 3830, 267, 519, 586, 25435, 568, 454, 30555, 281, 634, 811, 14869, 1145, 540, 519, 5086, 540, 2786, 1899, 5673, 2390, 519, 6207, 1871, 799, 568, 5266, 0, 763, 2817, 23941, 540, 2657, 630, 25712, 295, 264, 568, 519, 3119, 5313, 2229, 8116, 585, 24118, 1382, 538, 519, 7330, 269, 22078, 295, 2488, 3573, 1489, 585, 1480, 22435, 1382, 609, 476, 2641, 540, 476, 2767, 22078, 295, 23941, 543, 15544, 630, 2975, 338, 264, 4867, 7616, 713, 1858, 998, 741, 970, 1090, 1116, 1382, 3292, 269, 901, 2079, 540, 519, 22078, 295, 970, 1090, 1116, 14769, 538, 1480, 22435, 1382, 13713, 8039, 519, 2038, 1686, 540, 713, 2361, 693, 22078, 295, 267, 26564, 519, 1982, 6859, 543, 519, 2200, 2919, 538, 519, 5063, 6192, 476, 1015, 4458, 630, 325, 14166, 1296, 476, 1220, 278, 1700, 1001, 277, 264, 1269, 21497, 631, 5274, 5843, 6798, 727, 5741, 630, 295, 6573, 264, 1982, 267, 27786, 519, 9165, 543, 2039, 540, 519, 1269, 278, 2764, 631, 22078, 295, 5092, 538, 970, 1090, 1116, 1480, 22435, 1382, 2238, 3544, 540, 519, 670, 6573, 936, 16642, 1296, 476, 1001, 273, 1700, 1001, 277, 267, 543, 8711, 930, 1808, 2127, 540, 1382, 799, 7153, 689, 713, 5092, 269, 901, 2079, 32195, 609, 513, 1906, 8292, 593, 519, 2930, 2115, 543, 1702, 10616, 799, 2611, 585, 713, 2361, 547, 581, 2111, 547, 4434, 936, 519, 1985, 8717, 543, 585, 519, 4093, 540, 713, 1382, 547, 581, 2111, 547, 3356, 547, 22435, 2861, 7459, 585, 8156, 2068, 543, 5885, 1072, 563, 289, 4361, 4367, 547, 2038, 1974, 540, 1480, 22435, 1382, 2361, 454, 288, 1297, 540, 21722, 2090, 267, 3226, 538, 519, 2038, 476, 1220, 271, 338, 267, 5280, 2482, 519, 5748, 585, 713, 2361, 543, 1217, 519, 1646, 540, 519, 670, 6573, 1982, 269, 9282, 676, 1100, 1797, 29882, 267, 1806, 1331, 519, 3573, 960, 593, 519, 4763, 540, 5711, 23633, 543, 1875, 12949, 8328, 4551, 1210, 476, 1626, 306, 678, 11748, 5444, 5311, 2079, 1496, 272, 267, 476, 273, 4940, 901, 960, 2663, 3366, 547, 519, 1646, 540, 513, 2101, 4199, 585, 519, 2361, 267, 519, 5274, 17327, 5843, 6798, 727, 18482, 630, 295, 6865, 291, 264, 4586, 6124, 4485, 547, 519, 1353, 540, 519, 8937, 22435, 3366, 547, 25761, 7418, 538, 938, 1620, 540, 519, 1909, 540, 519, 8937, 22435, 538, 1480, 7350, 267, 552, 3052, 1421, 476, 543, 538, 2068, 267, 552, 3052, 1421, 1547, 634, 10351, 6954, 1480, 1242, 10856, 2203, 729, 2919, 1282, 713, 2038, 1974, 543, 2968, 513, 17618, 7550, 2203, 585, 519, 1353, 540, 519, 8937, 22435, 1547, 7216, 960, 849, 3366, 547, 13654, 1702, 593, 519, 1909, 540, 4332, 7154, 267, 552, 3052, 1421, 476, 543, 6089, 5144, 267, 552, 3052, 1421, 476, 538, 519, 1646, 540, 519, 10867, 8937, 22435, 269, 6271, 1271, 1646, 729, 519, 6284, 602, 930, 3984, 2068, 4307, 8040, 941, 2404, 609, 519, 8937, 22435, 267, 513, 3959, 799, 1223, 581, 11843, 950, 519, 8937, 22435, 729, 11843, 689, 519, 30428, 20033, 547, 513, 18579, 3984, 267, 552, 3052, 1421, 8377, 4586, 19091, 15971, 4066, 1519, 476, 1626, 306, 678, 11748, 5444, 2861, 993, 2364, 517, 5311, 2079, 543, 2898, 11646, 8929, 30516, 1558, 10402, 5669, 2079, 941, 1101, 1031, 676, 3235, 5505, 538, 519, 476, 2735, 271, 338, 4974, 519, 15451, 2950, 540, 30173, 543, 4104, 8134, 269, 589, 2817, 3194, 7027, 1867, 476, 4330, 519, 1379, 540, 891, 7636, 4485, 547, 7866, 27314, 15451, 4763, 543, 4719, 1761, 538, 1082, 1114, 9249, 543, 14747, 269, 12824, 538, 519, 24118, 2361, 1287, 7550, 713, 1935, 547, 2263, 519, 15451, 4763, 540, 519, 1480, 1560, 269, 1452, 2038, 1558, 10402, 5669, 2090, 8947, 519, 22542, 8778, 543, 1336, 16854, 6988, 543, 10894, 1761, 23876, 538, 519, 1480, 8937, 26168, 1496, 1556, 267, 476, 1321, 14073, 29619, 540, 670, 6573, 454, 3528, 519, 4571, 268, 1220, 271, 338, 267, 5027, 15971, 3790, 1185, 8519, 18481, 585, 22078, 295, 547, 4410, 606, 11036, 547, 1353, 519, 15451, 2950, 2404, 609, 519, 1480, 1560, 269, 769, 16642, 1032, 476, 1220, 278, 630, 293, 312, 1220, 278, 1070, 293, 2393, 16694, 476, 272, 519, 22078, 295, 8433, 540, 21864, 18509, 1588, 9250, 519, 476, 1015, 4458, 1269, 21497, 631, 670, 6573, 1982, 1547, 3245, 922, 27299, 267, 519, 670, 6573, 729, 2966, 607, 513, 2146, 4199, 1982, 547, 1020, 17618, 2139, 267, 543, 6385, 5950, 12985, 543, 8579, 2645, 267, 10763, 543, 4791, 10873, 267, 543, 4704, 14449, 538, 1931, 547, 4196, 607, 513, 18463, 585, 713, 6932, 2361, 563, 763, 670, 6573, 1982, 1185, 1079, 11775, 269, 634, 1101, 5123, 630, 293, 312, 1220, 278, 1700, 1001, 273, 264, 729, 2966, 547, 2932, 513, 5619, 540, 15451, 2950, 689, 2947, 2101, 9249, 540, 519, 1480, 1560, 630, 7394, 267, 2960, 267, 562, 4100, 267, 22542, 8778, 267, 543, 579, 4088, 1388, 8778, 264, 543, 547, 6218, 2436, 513, 8984, 15451, 2146, 729, 2404, 609, 513, 1808, 3984, 1072, 4567, 1547, 901, 5123, 540, 670, 6573, 2919, 519, 4791, 10873, 585, 10386, 519, 22435, 538, 891, 2947, 1560, 4525, 1547, 769, 1840, 267, 670, 6573, 2813, 4704, 22331, 9233, 540, 15451, 630, 324, 3052, 1421, 9190, 267, 2895, 6130, 267, 3566, 328, 21301, 267, 10194, 267, 543, 16507, 264, 11646, 9696, 267, 799, 941, 20024, 693, 12135, 10292, 476, 609, 2661, 4529, 585, 1082, 540, 891, 4704, 25450, 20024, 693, 11083, 6717, 1547, 32492, 2645, 543, 4704, 476, 1626, 306, 678, 11748, 5444, 543, 2898, 11646, 8929, 30516, 1558, 10402, 5669, 5311, 14449, 941, 849, 2919, 585, 946, 676, 519, 6626, 1382, 2146, 282, 891, 14449, 543, 2645, 616, 2139, 998, 519, 670, 6573, 4578, 5811, 543, 18509, 1588, 4741, 630, 291, 3722, 290, 264, 4586, 3080, 1883, 670, 6573, 5123, 476, 272, 1353, 9916, 519, 15451, 2950, 2066, 891, 476, 276, 9249, 585, 513, 20165, 540, 476, 4968, 2635, 1977, 4079, 543, 1336, 602, 1455, 10894, 11444, 941, 2404, 609, 3454, 517, 558, 1227, 4744, 25630, 15451, 2950, 267, 799, 8612, 602, 15451, 2146, 17539, 4805, 949, 711, 4196, 607, 513, 24750, 518, 585, 3984, 26737, 1547, 4033, 670, 6573, 1480, 20165, 2090, 799, 11567, 519, 18117, 2345, 540, 5396, 609, 1808, 22542, 267, 5711, 267, 610, 579, 4088, 1388, 3676, 7074, 602, 1808, 14471, 543, 5924, 1808, 15451, 10894, 11444, 267, 543, 711, 2698, 2146, 5888, 267, 28209, 689, 519, 2635, 8060, 269, 1280, 1383, 267, 713, 7678, 729, 4767, 538, 670, 6573, 2090, 540, 519, 8937, 22435, 538, 15867, 18255, 779, 2068, 2550, 1496, 736, 267, 476, 2641, 14073, 11073, 3699, 689, 519, 1101, 5123, 3366, 547, 519, 6284, 602, 4514, 2079, 540, 519, 22435, 267, 3564, 2146, 5888, 267, 729, 2877, 547, 1174, 519, 6198, 7418, 540, 891, 15451, 2950, 547, 1480, 1072, 543, 2068, 543, 547, 6218, 2436, 1808, 15451, 6198, 3601, 941, 2404, 609, 1808, 3984, 4307, 8040, 269, 4329, 267, 972, 729, 513, 2312, 991, 547, 6218, 519, 6211, 3601, 540, 3984, 543, 22435, 1927, 538, 1931, 547, 1353, 2014, 543, 1198, 3347, 1063, 3984, 543, 22435, 269, 634, 2034, 5123, 630, 293, 312, 1001, 274, 1700, 1001, 277, 264, 540, 713, 1982, 267, 1634, 607, 519, 32687, 670, 6573, 630, 328, 295, 6573, 1070, 729, 2966, 547, 1711, 606, 7471, 10471, 540, 519, 6211, 3601, 540, 1312, 519, 22435, 543, 3984, 936, 942, 267, 538, 513, 3126, 540, 2068, 16649, 2176, 267, 607, 513, 4199, 585, 519, 6626, 1382, 2146, 563, 16248, 1775, 295, 6573, 4791, 2090, 941, 2919, 607, 3631, 540, 22435, 23938, 2175, 267, 1519, 835, 593, 840, 3410, 4332, 609, 513, 1445, 593, 519, 21420, 22435, 540, 519, 3993, 2073, 835, 593, 12982, 15108, 2068, 609, 513, 1445, 593, 519, 22542, 22435, 2073, 543, 835, 593, 1826, 476, 273, 3987, 609, 513, 1445, 593, 1312, 519, 22542, 543, 17725, 18117, 2345, 1547, 1452, 3785, 9916, 15451, 2146, 15885, 607, 1134, 607, 519, 13973, 2345, 543, 2926, 2345, 540, 519, 18117, 2345, 267, 2059, 609, 519, 2518, 8311, 727, 543, 824, 1883, 3601, 971, 607, 4761, 543, 4791, 12508, 689, 519, 5396, 538, 19976, 20165, 2090, 1547, 1452, 2090, 786, 581, 3370, 607, 513, 851, 540, 606, 1775, 295, 6573, 4015, 540, 4574, 1496, 514, 2046, 267, 7186, 4940, 634, 670, 6573, 667, 3722, 290, 849, 8075, 519, 7471, 14449, 543, 12985, 2645, 689, 891, 1614, 2090, 4586, 300, 582, 10474, 585, 14769, 2079, 540, 22078, 295, 970, 1090, 1116, 1480, 22435, 1382, 454, 1103, 476, 1001, 276, 267, 519, 8433, 540, 3163, 543, 5303, 8889, 630, 302, 4306, 303, 264, 896, 519, 15525, 10029, 6519, 5600, 5750, 1229, 513, 12233, 540, 519, 5313, 2229, 8041, 602, 2932, 610, 1489, 1382, 547, 2347, 513, 5619, 540, 782, 10480, 518, 958, 23418, 9285, 22435, 1382, 936, 674, 312, 1001, 273, 1700, 1001, 275, 282, 713, 729, 1634, 607, 519, 16258, 6874, 571, 1188, 11059, 9730, 593, 29570, 519, 5843, 6798, 727, 630, 10499, 3722, 5336, 300, 1040, 634, 674, 307, 3722, 5336, 300, 2079, 3769, 513, 3376, 4015, 540, 2090, 540, 519, 15451, 2950, 540, 2371, 267, 2831, 267, 3425, 267, 607, 1134, 607, 7286, 543, 18714, 8134, 602, 1031, 15451, 2146, 7400, 2048, 15299, 4485, 543, 16922, 1382, 1489, 689, 476, 1626, 2229, 8041, 269, 634, 674, 307, 3722, 5336, 300, 4857, 606, 5092, 540, 1269, 280, 736, 631, 538, 1312, 703, 1090, 1116, 543, 970, 1090, 1116, 22435, 1382, 2066, 891, 476, 1626, 8041, 936, 674, 312, 1001, 273, 1700, 1001, 275, 4586, 2414, 2744, 513, 4514, 1620, 540, 5313, 1489, 585, 1480, 1072, 25700, 22435, 1382, 543, 547, 2697, 1883, 1382, 10616, 543, 3255, 267, 519, 3690, 9539, 296, 295, 5843, 6798, 727, 11554, 6828, 630, 26774, 310, 294, 264, 476, 4371, 513, 1614, 6377, 22078, 295, 17253, 22435, 13186, 538, 476, 1001, 278, 282, 513, 1867, 689, 713, 5870, 568, 3370, 538, 713, 3390, 1547, 4329, 267, 513, 12233, 267, 519, 22078, 295, 5274, 5843, 6798, 727, 5800, 12859, 5811, 6828, 630, 26822, 300, 5183, 294, 1070, 4646, 689, 519, 25633, 310, 294, 2073, 15748, 606, 538, 3829, 2079, 540, 1382, 6462, 998, 519, 22078, 295, 970, 1090, 1116, 3292, 269, 1677, 713, 1439, 267, 519, 19760, 300, 5183, 294, 2919, 513, 16419, 13214, 540, 519, 22078, 295, 9886, 6538, 547, 2697, 11134, 14828, 936, 2947, 16642, 1296, 630, 293, 312, 1001, 273, 1700, 1001, 277, 1040, 901, 1974, 729, 5697, 1317, 621, 6772, 11474, 609, 519, 674, 307, 3722, 5336, 300, 2079, 1974, 543, 1317, 621, 3769, 519, 2063, 476, 276, 1296, 540, 519, 670, 6573, 1982, 269, 634, 2164, 689, 519, 3355, 13214, 941, 16924, 26940, 547, 6166, 602, 519, 1808, 6663, 540, 519, 3156, 9138, 22435, 1382, 543, 547, 813, 10407, 519, 7616, 865, 602, 1152, 519, 1808, 1489, 585, 22435, 1382, 729, 3769, 538, 519, 7766, 2079, 269, 901, 1935, 28209, 689, 519, 674, 307, 3722, 5336, 300, 2079, 267, 799, 3769, 519, 3003, 9886, 6578, 585, 1142, 8366, 267, 865, 519, 19760, 300, 5183, 294, 1935, 5713, 607, 513, 811, 1808, 7447, 540, 22078, 295, 970, 1090, 1116, 1480, 22435, 1382, 563, 763, 19760, 300, 5183, 294, 7550, 519, 674, 307, 3722, 5336, 300, 4214, 540, 513, 22435, 607, 968, 320, 3818, 6741, 2886, 2551, 610, 2146, 540, 17973, 538, 513, 1808, 3984, 610, 1604, 892, 1141, 519, 2165, 968, 332, 15412, 525, 892, 3769, 4551, 267, 13271, 267, 9125, 320, 267, 32541, 8290, 267, 543, 3566, 328, 21301, 1547, 4329, 267, 519, 674, 307, 3722, 5336, 300, 4214, 540, 22435, 1382, 607, 968, 1492, 1353, 540, 891, 2950, 609, 2543, 547, 741, 5888, 267, 2497, 543, 1599, 607, 1134, 607, 2090, 540, 2890, 2041, 2173, 2222, 2041, 4205, 610, 4205, 609, 741, 14747, 538, 1480, 1072, 610, 2068, 892, 729, 849, 7550, 1547, 1452, 8847, 5280, 547, 7413, 10014 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14415, 3796, 269, 6480, 1493, 519, 11667, 543, 14415, 3796, 585, 519, 4611, 27008, 780, 866, 9119, 31280, 20929, 2876, 9999, 267, 595, 636, 11494, 22039, 543, 13340, 1773, 1824, 8525, 476, 866, 540, 476, 1839, 1677, 3308, 1047, 519, 11667, 593, 513, 27008, 267, 649, 4952, 513, 7299, 1899, 12270, 519, 27008, 883, 1079, 3160, 2127, 269, 5221, 972, 616, 476, 2568, 2418, 538, 782, 267, 519, 12270, 1899, 1131, 2049, 693, 519, 1448, 602, 519, 19469, 4908, 10301, 519, 28870, 3942, 267, 1775, 4318, 269, 593, 519, 476, 1789, 555, 1267, 269, 634, 19469, 4908, 10301, 476, 1240, 693, 519, 1439, 540, 519, 476, 3374, 546, 476, 2412, 1362, 8884, 267, 1775, 4318, 269, 693, 476, 2412, 15432, 267, 543, 476, 4343, 693, 519, 1439, 540, 519, 476, 2412, 546, 476, 3393, 8884, 267, 610, 693, 476, 3393, 15432, 269, 634, 476, 1789, 555, 1267, 1131, 4061, 9114, 538, 519, 476, 2412, 546, 476, 3393, 8884, 267, 799, 3568, 519, 476, 736, 1239, 3688, 689, 519, 476, 866, 555, 547, 519, 476, 4343, 555, 269, 769, 824, 1913, 267, 519, 476, 1789, 555, 1267, 476, 1321, 267, 610, 476, 274, 476, 276, 267, 540, 519, 1259, 267, 2059, 568, 476, 736, 519, 476, 2412, 546, 476, 3393, 8884, 267, 676, 31992, 269, 3767, 476, 276, 476, 274, 540, 476, 276, 630, 1492, 1362, 8700, 264, 815, 476, 274, 267, 865, 519, 11667, 568, 5111, 2073, 610, 476, 6246, 15432, 269, 630, 8002, 783, 12451, 616, 3254, 693, 519, 1283, 540, 519, 9587, 267, 2059, 609, 519, 8237, 6241, 5627, 519, 11667, 4700, 634, 14415, 3796, 666, 581, 6059, 538, 513, 2147, 1259, 269, 4935, 267, 519, 2539, 14415, 850, 610, 476, 1428, 555, 476, 278, 1267, 786, 581, 476, 1015, 1259, 2059, 519, 476, 3374, 546, 476, 2412, 1362, 8884, 267, 610, 693, 540, 476, 276, 267, 610, 476, 4343, 269, 276, 15432, 630, 5408, 2539, 2451, 1040, 540, 519, 634, 5580, 14415, 850, 610, 476, 3393, 555, 476, 278, 1267, 786, 581, 476, 1015, 1775, 4318, 269, 693, 540, 476, 276, 267, 610, 476, 4366, 269, 276, 15432, 630, 5408, 2539, 1318, 1040, 540, 519, 1259, 2059, 519, 476, 3393, 546, 476, 2004, 8884, 10484, 736, 9119, 31280, 20929, 2876, 9999, 267, 595, 636, 11494, 22039, 543, 13340, 1773, 1824, 8525, 476, 736, 540, 476, 1839, 6884, 606, 981, 2243, 593, 1277, 9999, 786, 1683, 1152, 22403, 1239, 269, 7151, 630, 1321, 2567, 634, 1739, 1239, 4019, 547, 15837, 11729, 829, 20267, 732, 593, 476, 2568, 11396, 538, 27991, 10921, 538, 962, 1752, 829, 20267, 732, 267, 586, 267, 538, 19726, 22039, 476, 736, 586, 586, 586, 586, 586, 586, 476, 3199, 1775, 264, 2422, 519, 1239, 538, 519, 27008, 547, 2347, 519, 3349, 269, 13797, 264, 2422, 519, 1239, 538, 519, 3349, 547, 2347, 519, 27008, 269, 25831, 264, 6480, 1493, 519, 1297, 540, 11396, 4171, 15837, 11729, 941, 476, 3374, 19726, 829, 20267, 732, 610, 1447, 269, 1775, 264, 17616, 267, 649, 991, 547, 1265, 606, 6221, 540, 1239, 1455, 547, 1312, 519, 27008, 543, 519, 3349, 547, 4368, 519, 7299, 4908, 5860, 4336, 269, 634, 1362, 8884, 476, 1789, 586, 476, 2412, 568, 1455, 547, 1312, 267, 543, 607, 922, 1362, 8700, 568, 476, 1015, 543, 922, 4908, 568, 476, 1321, 267, 922, 4908, 5860, 568, 4061, 476, 272, 269, 273, 269, 1284, 666, 1631, 4283, 519, 2418, 476, 271, 269, 271, 267, 476, 272, 269, 271, 267, 476, 273, 269, 271, 267, 476, 274, 269, 271, 543, 476, 275, 269, 271, 593, 519, 7299, 4908, 5860, 8743, 7436, 269, 8921, 267, 649, 666, 1224, 1055, 519, 4908, 5860, 585, 519, 476, 736, 586, 476, 1789, 1362, 269, 4706, 1871, 540, 476, 271, 269, 274, 13745, 609, 519, 1362, 8884, 8700, 540, 476, 1015, 14687, 547, 513, 4908, 540, 476, 274, 269, 6684, 267, 585, 519, 476, 2412, 586, 476, 3393, 1362, 267, 519, 4908, 5860, 14509, 607, 476, 274, 269, 277, 267, 799, 1226, 919, 547, 606, 4890, 4908, 540, 476, 1240, 2016, 519, 1362, 8700, 540, 476, 276, 269, 634, 1152, 7508, 7127, 585, 4908, 585, 519, 3349, 568, 602, 585, 519, 476, 2568, 586, 476, 3199, 8884, 269, 2353, 519, 824, 12451, 2040, 547, 476, 6321, 267, 543, 972, 616, 476, 2568, 11396, 538, 782, 267, 865, 519, 7508, 4908, 1590, 4061, 581, 476, 275, 780, 2641, 9119, 31280, 20929, 2876, 9999, 267, 595, 636, 11494, 22039, 543, 13340, 1773, 1824, 8525, 476, 2641, 540, 476, 1839, 634, 6192, 1239, 3349, 1631, 5654, 899, 713, 630, 20412, 730, 2418, 538, 12050, 2567, 962, 1752, 829, 20267, 732, 267, 586, 267, 538, 19726, 22039, 4147, 8700, 22039, 5860, 476, 736, 586, 586, 586, 586, 586, 586, 13797, 264, 1284, 1631, 723, 782, 519, 2838, 1239, 547, 2347, 519, 27008, 269, 25831, 264, 1677, 7447, 875, 1082, 15837, 11396, 26857, 476, 3374, 19726, 610, 1447, 829, 20267, 732, 267, 649, 723, 547, 1331, 281, 513, 264, 519, 2898, 540, 519, 476, 736, 586, 476, 1789, 1362, 267, 610, 476, 274, 11396, 267, 7132, 536, 264, 3368, 540, 519, 476, 1789, 586, 476, 2412, 1362, 267, 610, 606, 7447, 540, 476, 277, 11396, 267, 2094, 476, 3374, 568, 4571, 3118, 1063, 476, 1789, 543, 476, 2412, 269, 901, 3947, 606, 7447, 540, 476, 280, 11396, 538, 2698, 27548, 476, 3374, 19726, 540, 12277, 610, 1447, 829, 20267, 732, 780, 2420, 9119, 31280, 20929, 2876, 9999, 267, 595, 636, 11494, 22039, 543, 13340, 1773, 1824, 8525, 476, 2420, 540, 476, 1839, 634, 1985, 1383, 568, 606, 9631, 333, 756, 639, 981, 16654, 2243, 2921, 538, 513, 3099, 540, 2798, 269, 7151, 263, 1724, 2567, 630, 306, 877, 1239, 607, 7151, 630, 278, 264, 538, 589, 12610, 3738, 1323, 5122, 10685, 518, 814, 21845, 519, 2724, 6170, 676, 5561, 538, 519, 1101, 476, 4335, 8852, 538, 519, 5130, 6455, 267, 27195, 16306, 3152, 982, 1975, 2056, 267, 1535, 267, 538, 22039, 22039, 5860, 1535, 2999, 1535, 1535, 1535, 1535, 1535, 476, 1911, 271, 630, 328, 264, 13159, 519, 1239, 3349, 543, 9864, 27008, 1657, 269, 630, 4512, 264, 2422, 519, 27008, 3812, 538, 630, 328, 264, 547, 7447, 519, 11667, 543, 519, 954, 6709, 691, 850, 2039, 269, 630, 328, 264, 3689, 267, 649, 1265, 519, 5223, 1063, 519, 4908, 5860, 543, 519, 4890, 4908, 269, 898, 666, 581, 2938, 689, 519, 2418, 538, 519, 4737, 689, 519, 476, 271, 268, 2004, 1362, 8884, 602, 519, 4908, 5860, 568, 2016, 676, 12270, 519, 4890, 4908, 630, 3583, 264, 676, 519, 1362, 8884, 8700, 630, 2004, 1040, 3245, 972, 267, 649, 666, 1265, 519, 4890, 4908, 585, 519, 1362, 8884, 267, 12077, 815, 476, 8099, 269, 634, 1362, 8884, 814, 513, 8700, 540, 476, 1911, 267, 865, 922, 4908, 5860, 568, 610, 634, 1362, 8884, 814, 513, 8700, 540, 476, 1220, 267, 865, 922, 4908, 5860, 568, 476, 1220, 610, 476, 271, 269, 275, 269, 5381, 2324, 3947, 513, 4908, 5860, 540, 476, 271, 269, 274, 585, 519, 1362, 8884, 269, 1284, 616, 5143, 602, 476, 4335, 8852, 723, 1044, 21845, 267, 543, 4061, 519, 4908, 585, 519, 1362, 8884, 568, 519, 2040, 540, 782, 519, 3105, 12451, 10208, 539, 689, 476, 4335, 267, 610, 476, 3199, 780, 2537, 9119, 31280, 20929, 2876, 9999, 267, 595, 636, 11494, 22039, 543, 13340, 1773, 1824, 8525, 476, 2537, 540, 476, 1839, 634, 6192, 4908, 3349, 543, 27008, 4061, 1413, 899, 713, 267, 609, 513, 1362, 8700, 6241, 3773, 585, 1344, 281, 1975, 2056, 267, 1535, 267, 538, 22039, 4147, 654, 5954, 630, 3738, 22039, 5860, 1535, 2999, 1535, 1535, 1535, 1535, 1535, 692, 2190, 9119, 31280, 20929, 2876, 9999, 267, 595, 636, 11494, 22039, 543, 13340, 1773, 1824, 8525, 476, 2190, 540, 476, 1839, 1677, 1265, 519, 11667, 543, 14415, 3796, 267, 543, 8754, 519, 954, 6709, 691, 850, 2039, 267, 649, 22672, 517, 909, 519, 3617, 2127, 593, 519, 27008, 1421, 1210, 5276, 31992, 607, 3254, 538, 519, 6516, 2630, 5221, 972, 616, 476, 4335, 8852, 538, 2698, 267, 519, 11667, 4386, 593, 519, 476, 7742, 555, 11834, 543, 519, 2539, 543, 5580, 14415, 3796, 593, 519, 476, 10219, 555, 543, 476, 23841, 555, 8852, 269, 2480, 8911, 519, 27008, 689, 2451, 547, 1318, 267, 519, 476, 3583, 555, 11834, 4386, 693, 519, 1439, 540, 519, 476, 271, 268, 2004, 1362, 8884, 543, 519, 476, 5197, 555, 693, 519, 1439, 540, 519, 8884, 269, 634, 476, 10219, 555, 568, 4010, 28870, 2059, 519, 8884, 267, 865, 519, 2539, 14415, 850, 568, 476, 4037, 269, 8033, 5224, 519, 11571, 267, 519, 8884, 2882, 519, 476, 8687, 588, 547, 519, 476, 18231, 555, 8852, 519, 476, 7742, 555, 835, 568, 5722, 2389, 5460, 338, 540, 519, 1259, 2059, 267, 865, 519, 11667, 568, 476, 10204, 269, 7053, 267, 519, 8884, 2882, 519, 476, 3607, 272, 588, 547, 519, 476, 22213, 555, 8852, 519, 476, 23841, 555, 568, 835, 6709, 6621, 540, 519, 1259, 2059, 267, 543, 865, 519, 5580, 14415, 850, 568, 476, 14596, 269, 4475, 519, 11667, 1871, 540, 519, 8852, 568, 476, 10204, 267, 543, 519, 954, 6709, 691, 850, 2039, 568, 630, 14596, 268, 4037, 264, 610, 476, 23841, 269, 8074, 519, 2318, 7729, 342, 540, 519, 1239, 519, 11667, 540, 476, 11260, 568, 1447, 982, 519, 1611, 540, 476, 30525, 7229, 538, 7151, 476, 278, 540, 519, 3296, 589, 12610, 780, 1839, 9119, 31280, 20929, 2876, 9999, 267, 595, 636, 11494, 22039, 543, 13340, 1773, 1824, 8525, 476, 1839, 540, 476, 1839, 2859, 593, 13340, 1773, 1824, 269, 3509, 6514, 2055, 6161, 13354, 4216, 13602, 269, 7151, 630, 1691, 2567, 634, 4216, 13602, 2630, 1397, 519, 16488, 18176, 3466, 585, 1079, 4374, 540, 519, 853, 2774, 19933, 7641, 1397, 936, 519, 2063, 2185, 1296, 267, 609, 476, 2568, 2164, 21845, 538, 2698, 585, 519, 1101, 3018, 540, 519, 1397, 267, 543, 476, 2412, 2164, 585, 519, 15795, 3018, 540, 519, 1397, 269, 634, 9103, 1023, 540, 519, 16488, 8464, 616, 782, 2898, 2338, 269, 1775, 264, 14424, 543, 4334, 519, 4216, 13602, 585, 519, 1079, 4374, 267, 609, 693, 2547, 1079, 5885, 6898, 269, 13797, 264, 20289, 17648, 602, 476, 1428, 1004, 20639, 811, 982, 476, 2764, 2798, 538, 10432, 476, 272, 267, 543, 602, 476, 1015, 1004, 20639, 476, 2767, 610, 1447, 538, 10432, 476, 277, 269, 1772, 646, 2953, 286, 1775, 264, 3371, 616, 513, 1906, 2009, 4267, 281, 2353, 519, 1883, 2418, 630, 2169, 23767, 267, 14415, 3796, 543, 11667, 264, 941, 2362, 538, 10432, 476, 277, 982, 538, 10432, 476, 272, 267, 11021, 606, 2949, 6060, 6454, 2066, 519, 4604, 269, 1280, 1383, 267, 519, 11667, 729, 909, 676, 476, 277, 2798, 269, 634, 954, 6709, 691, 850, 2039, 729, 2539, 538, 3018, 476, 277, 630, 277, 2798, 264, 982, 538, 3018, 476, 272, 630, 279, 1070, 799, 5267, 3152, 11007, 538, 519, 1647, 3368, 540, 519, 3349, 269, 634, 2949, 2039, 1185, 711, 4957, 538, 519, 18060, 532, 2947, 4374, 269, 901, 1223, 581, 1813, 547, 856, 11502, 267, 855, 972, 568, 1100, 4890, 1239, 547, 6166, 610, 20912, 602, 269, 13797, 264, 634, 5580, 14415, 850, 6060, 585, 10432, 476, 272, 729, 476, 2764, 267, 11021, 602, 513, 10116, 540, 476, 2568, 267, 610, 476, 1428, 267, 8464, 941, 2362, 982, 602, 269, 1635, 2147, 7744, 267, 519, 2539, 14415, 850, 6060, 585, 10432, 476, 277, 729, 476, 2767, 267, 11021, 602, 513, 10116, 540, 476, 2412, 267, 610, 476, 1015, 8464, 267, 941, 3160, 610, 2539, 269, 634, 1152, 3765, 15130, 827, 20289, 521, 13429, 568, 519, 7872, 540, 13615, 8464, 538, 519, 29117, 540, 519, 14415, 3796, 780, 32417, 31280, 16847, 7726, 476, 277, 540, 7433, 476, 273, 692, 32417, 31280, 16847, 7726, 476, 277, 540, 7433, 634, 10803, 2243, 568, 7255, 5631, 609, 519, 1739, 2474, 269, 634, 6399, 543, 519, 2405, 1014, 543, 616, 1079, 2081, 540, 7893, 519, 3328, 269, 2040, 1993, 2418, 1100, 269, 540, 692, 763, 1318, 6316, 540, 519, 4216, 568, 519, 3791, 14415, 850, 267, 1627, 476, 274, 267, 799, 568, 519, 11667, 540, 519, 1239, 2418, 1657, 519, 11667, 269, 26228, 2405, 1014, 692, 25321, 291, 27602, 3633, 700, 8577, 2177, 476, 273, 269, 272, 13340, 1773, 1824, 769, 713, 3992, 596, 786, 1711, 543, 4612, 4216, 13602, 585, 5036, 540, 1239, 946, 519, 954, 32483, 850, 2039 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28249, 540, 29661, 1222, 267, 28673, 267, 543, 519, 4317, 7070, 454, 1607, 1433, 5654, 693, 519, 1858, 540, 20835, 267, 2528, 267, 543, 519, 1514, 5260, 7546, 269, 898, 2488, 513, 726, 584, 573, 21326, 1935, 547, 713, 3390, 543, 6799, 1883, 13220, 593, 519, 1413, 269, 898, 568, 606, 24077, 4199, 585, 5883, 543, 1857, 2090, 1053, 267, 607, 1134, 607, 3610, 5461, 538, 519, 1888, 269, 634, 8313, 786, 849, 581, 13267, 547, 1053, 25981, 827, 20835, 563, 10214, 1498, 519, 4610, 540, 20835, 543, 1514, 2257, 2671, 513, 1804, 1297, 540, 10486, 267, 789, 949, 723, 930, 2101, 3604, 269, 4197, 20410, 26921, 3820, 270, 10090, 730, 1790, 739, 268, 273, 891, 5686, 540, 3604, 949, 948, 596, 11694, 707, 1870, 1761, 269, 19461, 267, 20835, 568, 1634, 607, 513, 3376, 2856, 269, 898, 949, 3100, 1175, 899, 1152, 513, 1906, 1004, 616, 3238, 538, 621, 593, 519, 7463, 1377, 267, 855, 3025, 2535, 919, 538, 930, 2460, 540, 519, 5650, 269, 5822, 267, 20835, 568, 2047, 1644, 547, 3025, 267, 1914, 762, 267, 543, 2804, 5260, 7546, 563, 22209, 7651, 2720, 1222, 949, 581, 513, 2565, 3693, 538, 782, 2010, 540, 2804, 1949, 269, 898, 814, 1585, 8847, 543, 3252, 267, 2687, 547, 1018, 596, 1616, 547, 2628, 3007, 547, 269, 1280, 1383, 2073, 596, 949, 1445, 593, 519, 1909, 10362, 547, 519, 16724, 607, 1373, 513, 9614, 610, 3375, 3684, 1369, 519, 3919, 267, 610, 596, 1223, 1445, 593, 519, 1909, 602, 11639, 2972, 538, 9148, 532, 519, 2804, 1982, 269, 3143, 2339, 799, 7778, 596, 3442, 267, 519, 1483, 1883, 3693, 568, 519, 12588, 540, 513, 1870, 8227, 547, 1491, 851, 538, 3375, 6194, 4238, 693, 513, 7104, 1377, 563, 19968, 5411, 1419, 11716, 1239, 602, 5267, 741, 1880, 2093, 786, 711, 960, 269, 5502, 540, 7384, 2164, 676, 741, 1378, 7355, 267, 789, 1118, 606, 4674, 547, 2268, 519, 1871, 540, 741, 7840, 543, 2327, 789, 786, 3136, 547, 581, 3532, 538, 519, 1279, 2196, 267, 607, 1134, 607, 519, 1514, 12705, 789, 723, 585, 519, 1158, 1739, 519, 3312, 1870, 2006, 568, 8854, 269, 1403, 606, 2856, 568, 3730, 585, 3294, 267, 621, 1223, 7654, 723, 12705, 1256, 1510, 519, 1347, 29487, 5718, 540, 621, 568, 13653, 269, 0, 28308, 7256, 4856, 1023, 454, 6826, 2246, 3814, 4856, 1023, 538, 13323, 540, 6792, 454, 763, 2487, 661, 4596, 294, 5456, 546, 1161, 5059, 593, 6313, 519, 11173, 2360, 540, 519, 12213, 4248, 21222, 517, 3282, 21383, 593, 27712, 538, 519, 13323, 540, 6792, 269, 4635, 513, 4999, 540, 10386, 543, 1164, 6571, 11052, 630, 339, 2586, 609, 513, 16887, 9862, 8254, 1572, 18688, 17129, 595, 4456, 1070, 3744, 616, 7421, 2208, 3928, 543, 3114, 5222, 593, 519, 27712, 689, 1312, 519, 3282, 543, 12165, 1218, 1031, 547, 8396, 519, 3282, 21383, 269, 634, 1482, 27712, 616, 708, 3042, 1169, 1032, 269, 0, 31282, 527, 514, 10378, 13087, 1607, 7084, 786, 581, 11643, 547, 12414, 527, 514, 10378, 563, 303, 17123, 281, 901, 7084, 786, 5512, 596, 547, 3605, 513, 2110, 1650, 779, 946, 540, 2609, 971, 607, 6249, 267, 18572, 267, 20451, 267, 14165, 267, 543, 13513, 269, 1411, 786, 2932, 513, 2673, 2542, 540, 513, 2110, 1650, 543, 1865, 519, 2278, 779, 946, 540, 891, 3457, 538, 1010, 610, 1200, 1785, 1005, 543, 5888, 540, 519, 1543, 269, 16792, 513, 2673, 2542, 543, 21882, 513, 5339, 2079, 786, 5965, 596, 585, 519, 1082, 5931, 602, 596, 786, 1224, 267, 17412, 267, 543, 1865, 538, 707, 2104, 2090, 543, 1256, 519, 9036, 563, 2237, 606, 1557, 7421, 835, 540, 938, 2984, 689, 713, 5149, 630, 2421, 27050, 681, 1662, 267, 8230, 20568, 267, 610, 31929, 10162, 534, 1817, 572, 264, 602, 11828, 1946, 543, 875, 1808, 6698, 267, 23199, 267, 3096, 540, 20451, 267, 610, 3197, 616, 1031, 547, 6813, 835, 540, 519, 4798, 689, 5149, 476, 272, 630, 27094, 267, 1325, 1329, 566, 270, 8448, 1145, 267, 519, 1977, 14134, 21610, 697, 332, 732, 267, 2372, 652, 585, 14740, 14727, 4040, 540, 6520, 267, 610, 1230, 845, 640, 270, 3725, 10428, 542, 264, 538, 513, 1880, 1259, 269, 2659, 1557, 1058, 6451, 3877, 543, 10530, 689, 519, 1650, 267, 543, 596, 1058, 946, 707, 1378, 1913, 547, 14969, 593, 519, 10096, 540, 519, 3877, 543, 10530, 596, 946, 607, 2963, 269, 7427, 891, 3268, 912, 16521, 835, 540, 519, 10374, 9452, 8564, 687, 689, 713, 5149, 1107, 596, 666, 6157, 3442, 513, 1650, 596, 5059, 593, 538, 835, 540, 519, 4901, 15473, 267, 855, 596, 1810, 1406, 723, 547, 563, 2791, 786, 5702, 1224, 630, 663, 556, 1348, 264, 707, 6074, 1650, 267, 6236, 922, 4798, 267, 3197, 267, 3919, 267, 5188, 267, 4259, 267, 6698, 267, 23199, 267, 20451, 267, 782, 16272, 267, 543, 824, 5339, 2609, 269, 6875, 4967, 2336, 2414, 1376, 547, 17492, 707, 2324, 5098, 267, 2015, 799, 6249, 596, 1265, 1034, 10858, 547, 519, 1650, 543, 1018, 2609, 3565, 519, 1034, 547, 602, 6249, 269, 1215, 798, 891, 2609, 3565, 547, 519, 6249, 286, 4208, 1705, 519, 2278, 3442, 547, 946, 873, 713, 1259, 888, 4467, 2821, 707, 7291, 269, 2422, 519, 19294, 3201, 4643, 7291, 547, 3391, 519, 2497, 540, 707, 1957, 563, 2026, 596, 17145, 856, 707, 7291, 609, 2963, 543, 3312, 2079, 547, 1106, 621, 883, 513, 2347, 1557, 267, 581, 1808, 538, 707, 946, 540, 3877, 543, 946, 1134, 7302, 4923, 10530, 547, 1489, 707, 5098, 269, 20864, 20926, 1570, 25401, 543, 19016, 1227, 267, 543, 946, 2385, 16375, 12319, 609, 519, 2278, 779, 21519, 269, 3680, 4729, 5758, 563, 6826, 2386, 547, 2226, 606, 3617, 4081, 3159, 630, 7224, 27325, 267, 2034, 16512, 1496, 2108, 9767, 2223, 968, 933, 892, 3910, 27373, 267, 3092, 8094, 8923, 3277, 547, 519, 8830, 16746, 6732, 5675, 6997, 585, 17090, 11249, 543, 2511, 3391, 563, 32306, 942, 547, 10505, 707, 8908, 547, 5131, 15397, 1681, 585, 2689, 269, 2659, 20131, 666, 948, 609, 5098, 543, 1543, 1646, 267, 3919, 267, 8239, 267, 543, 11707, 269, 22982, 713, 1863, 3028, 547, 2328, 519, 1655, 8908, 2009, 593, 713, 2101, 7084, 269, 5213, 1406, 7340, 602, 596, 666, 10505, 707, 8908, 547, 5131, 15397, 1681, 2789, 2053, 1282, 519, 14469, 1184, 563, 8138, 2466, 707, 3803, 1957, 538, 519, 5149, 476, 274, 4828, 281, 10374, 9452, 5811, 6749, 7901, 269, 5457, 267, 707, 14357, 786, 581, 2111, 547, 1294, 707, 12414, 527, 514, 2164, 1107, 1312, 707, 16726, 6871, 543, 1022, 2453, 610, 1893, 602, 2408, 11992, 267, 2901, 2228, 610, 538, 12414, 527, 514, 779, 6538, 540, 1991, 2875, 960, 267, 865, 2327, 602, 707, 960, 568, 1085, 14442, 592, 748, 538, 922, 14327, 543, 740, 12742, 547, 519, 4441, 540, 4081, 19969, 563, 2691, 1603, 707, 1557, 267, 519, 3804, 568, 547, 6542, 1018, 8095, 519, 1650, 814, 593, 513, 1880, 6249, 269, 2142, 1808, 827, 519, 2081, 519, 6249, 568, 1031, 543, 875, 519, 1650, 779, 946, 540, 6698, 10953, 513, 4514, 2495, 547, 519, 6249, 269, 3629, 3877, 267, 1519, 11855, 1463, 10530, 689, 519, 1650, 267, 855, 1810, 1406, 7340, 602, 596, 1590, 11753, 519, 10530, 19016, 1227, 543, 25401, 543, 6085, 593, 519, 10530, 596, 946, 547, 2491, 1946, 789, 616, 1713, 563, 17572, 22347, 3827, 281, 7490, 10505, 707, 3758, 607, 513, 667, 8016, 269, 311, 610, 7300, 3758, 563, 290, 761, 4997, 593, 6904, 1411, 4024, 581, 717, 24612, 912, 763, 23506, 543, 1646, 540, 707, 5098, 454, 7312, 5885, 6811, 267, 7954, 267, 543, 3919, 454, 763, 2298, 540, 707, 1603, 267, 547, 1331, 5037, 1646, 543, 3919, 281, 1888, 5220, 267, 8753, 267, 13289, 267, 3092, 269, 6423, 18786, 2659, 10374, 9452, 5811, 4828, 563, 7312, 6278, 609, 519, 1257, 630, 6011, 596, 2491, 707, 1806, 267, 707, 3903, 540, 5885, 24185, 994, 26705, 281, 1411, 616, 2838, 547, 946, 1699, 17090, 2511, 585, 782, 1603, 10467, 269, 7743, 17090, 11239, 543, 513, 7157, 30149, 3718, 24764, 2985, 630, 1321, 15304, 13944, 267, 8648, 1715, 4936, 267, 5595, 19437, 267, 7831, 2012, 543, 2985, 1297, 593, 1142, 2985, 267, 3092, 12175, 7490, 3277, 547, 519, 8830, 16746, 6732, 5675, 6997, 585, 17090, 11249, 543, 2511, 3391, 269, 6423, 713, 3732, 17628, 299, 476, 8099, 273, 1557, 563, 10907, 27854, 12968, 17965, 630, 17472, 6281, 2959, 616, 2877, 610, 9415, 282, 2705, 267, 952, 1022, 5007, 2959, 616, 1031, 267, 789, 631, 19851, 581, 14013, 11855, 1210, 17090, 476, 279, 628, 7160, 3898, 1040, 1306, 2141, 267, 17096, 568, 711, 7109, 730, 269, 7490, 2307, 952, 596, 723, 2055, 827, 11239, 610, 4081, 19969, 563, 21920, 18859, 618, 281, 476, 16020, 268, 272, 267, 1822, 1913, 454, 3963, 4518, 609, 2974, 454, 12749, 10866, 543, 4270, 268, 4910, 792, 3481, 14430, 454, 2171, 2141, 1118, 2386, 602, 5830, 1246, 782, 707, 5528, 10502, 269, 1411, 666, 3442, 707, 4081, 1377, 281, 1164, 1153, 267, 2852, 270, 684, 1751, 610, 3318, 267, 543, 649, 786, 3651, 513, 5856, 945, 814, 513, 9757, 4110, 563, 32153, 543, 5438, 27624, 14288, 19536, 454, 2171, 723, 513, 2319, 540, 3318, 5830, 609, 1995, 538, 4081, 543, 1870, 1603, 269, 3509, 616, 5065, 10529, 543, 2111, 547, 1685, 1022, 4305, 585, 799, 596, 991, 948, 563, 10403, 1133, 15905, 4860, 2888, 454, 2252, 596, 1589, 649, 14406, 1945, 267, 6494, 707, 1931, 585, 513, 1863, 14469, 269, 1411, 723, 476, 1015, 2395, 547, 10505, 519, 1931, 585, 2689, 1310, 596, 723, 4607, 519, 3803, 3561, 269, 1411, 666, 798, 713, 3054, 1310, 19883, 883, 707, 2123, 2272, 610, 676, 32296, 938, 1489, 563, 23220, 696, 24822, 543, 476, 1911, 260, 14559, 5174, 871, 8566, 340, 5875, 2465, 454, 5472, 4574, 616, 2141, 9447, 593, 942, 269, 769, 2013, 649, 991, 811, 942, 547, 4487, 707, 1957, 267, 649, 949, 3346, 596, 3823, 519, 21120, 10137, 269, 769, 2013, 596, 3112, 1683, 721, 609, 811, 942, 267, 513, 476, 1911, 260, 32479, 568, 16798, 563, 24314, 1299, 4762, 7808, 454, 2171, 946, 1896, 1603, 2645, 11974, 547, 2327, 602, 782, 6054, 596, 4309, 616, 1863, 689, 17096, 269, 3776, 15769, 5402, 2689, 782, 24185, 538, 519, 1257, 269, 1284, 849, 9153, 5021, 22637, 538, 782, 540, 938, 2533, 563, 2190, 270, 278, 21436, 8081, 454, 5978, 1489, 8069, 616, 2139, 476, 2190, 3108, 513, 1554, 476, 278, 2395, 513, 3018, 543, 8149, 547, 3246, 596, 609, 519, 1655, 6075, 1995, 269, 5192, 538, 5905, 8164, 596, 991, 1022, 6351, 563, 2521, 621, 1631, 2336, 1692, 621, 1568, 888, 10287, 891, 2241, 3268, 547, 1205, 707, 1957, 2944, 454, 20278, 707, 1931, 454, 293, 650, 538, 519, 1931, 1106, 543, 1683, 782, 3877, 540, 707, 7084, 563, 3682, 3865, 609, 519, 8569, 454, 16521, 519, 8569, 1062, 602, 17015, 596, 1034, 563, 3725, 576, 633, 519, 3803, 3758, 454, 5629, 707, 1957, 568, 4712, 267, 649, 786, 4757, 621, 547, 596, 563, 5591, 991, 547, 960, 593, 707, 1957, 693, 3781, 269, 12619, 9395, 267, 649, 786, 3382, 707, 1394, 269, 1284, 2709, 782, 5686, 540, 1603, 2533, 563, 5591, 2339, 1018, 2186, 540, 4081, 1957, 596, 991, 543, 875, 14849, 596, 991, 621, 267, 596, 616, 10950, 547, 3442, 707, 4081, 1377, 543, 519, 1826, 540, 707, 1957, 693, 606, 10097, 3902, 269, 1284, 1491, 1416, 540, 782, 707, 1957, 2115, 543, 2285, 513, 476, 2190, 270, 278, 6075, 1416, 1489, 1062, 563, 3849, 3939, 10749, 1299, 6355, 5675, 6435, 454, 2304, 16075, 1557, 568, 606, 1557, 610, 824, 2854, 3948, 676, 513, 11134, 267, 1419, 513, 1761, 2875, 679, 13764, 538, 513, 2852, 267, 6280, 267, 610, 10927, 1153, 269, 1411, 666, 581, 1964, 1028, 13899, 602, 998, 938, 3028, 649, 786, 2328, 519, 1655, 16075, 1557, 585, 596, 563, 5978, 4081, 5830, 543, 15769, 1118, 519, 2556, 2242, 547, 707, 1957, 865, 602, 621, 568, 25509, 269, 1284, 849, 3898, 707, 3561, 676, 7157, 844, 7627, 519, 2959, 543, 2870, 4704, 8638, 538, 519, 12043, 14905, 267, 12370, 267, 17090, 267, 9628, 1315, 570, 12350, 1014, 563, 2252, 596, 1589, 707, 1957, 1223, 581, 4824, 267, 596, 666, 7662, 513, 2689, 269, 769, 713, 2013, 267, 707, 1957, 786, 581, 13761, 676, 519, 5856, 610, 8655, 547, 606, 9375, 269, 1411, 666, 946, 713, 4781, 607, 1082, 2053, 607, 596, 1294, 3514, 269, 901, 568, 1863, 1317 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5595, 18369, 607, 513, 21088, 6293, 543, 729, 3742, 538, 10243, 532, 610, 2348, 7366, 540, 1007, 1568, 543, 13447, 328, 2854, 2523, 585, 1864, 269, 918, 1551, 729, 2016, 918, 28907, 341, 6308, 5652, 781, 4583, 21088, 5595, 18369, 676, 9986, 8615, 918, 28907, 341, 1080, 5652, 543, 5129, 621, 538, 30145, 1472, 519, 1158, 585, 476, 2412, 1296, 1354, 267, 538, 2490, 267, 4758, 519, 6293, 547, 519, 4139, 5980, 540, 30464, 1235, 585, 16805, 21088, 1235, 547, 946, 538, 13447, 269, 6271, 1271, 1685, 518, 538, 713, 1974, 267, 26450, 1090, 570, 675, 16379, 5652, 267, 20827, 543, 6566, 328, 1229, 811, 982, 476, 4968, 5595, 18369, 1568, 563, 1103, 519, 476, 3192, 271, 338, 267, 476, 2735, 271, 543, 476, 1960, 271, 338, 267, 1007, 13447, 328, 3769, 715, 3626, 681, 7974, 781, 667, 1853, 339, 2939, 334, 585, 17677, 30464, 543, 2107, 3832, 14259, 630, 3192, 274, 1070, 21142, 681, 573, 719, 781, 13447, 334, 585, 5595, 18369, 543, 12673, 630, 3192, 275, 1070, 14639, 31839, 320, 1460, 781, 19270, 15300, 630, 3192, 276, 1070, 7671, 1160, 1729, 781, 19270, 15300, 3143, 269, 476, 273, 267, 661, 3626, 9857, 7315, 328, 681, 2246, 6072, 4673, 781, 19664, 2986, 667, 23677, 630, 2735, 271, 1070, 717, 1014, 30408, 9093, 2714, 328, 781, 19270, 15300, 630, 2735, 274, 1070, 18332, 681, 1787, 781, 19270, 15300, 630, 2735, 276, 1070, 8361, 5696, 656, 781, 26415, 715, 1115, 630, 2735, 279, 264, 543, 7671, 1160, 1729, 781, 834, 290, 1301, 523, 26135, 585, 17677, 30464, 543, 2107, 3832, 14259, 257, 630, 1960, 272, 264, 543, 834, 19177, 2480, 25333, 1310, 20266, 27591, 257, 19270, 15300, 3143, 269, 476, 274, 630, 1960, 278, 1040, 8834, 7665, 6202, 5096, 625, 262, 11430, 3740, 5899, 987, 322, 569, 1372, 19270, 15300, 3143, 269, 476, 278, 267, 585, 5595, 18369, 543, 32316, 267, 7389, 689, 476, 1960, 273, 563, 1103, 519, 1101, 8717, 540, 519, 476, 2641, 560, 2540, 267, 1007, 13447, 328, 1331, 7671, 1160, 1729, 781, 834, 301, 710, 7352, 1218, 593, 623, 12298, 7236, 257, 630, 1220, 273, 1070, 918, 1446, 12858, 13259, 334, 781, 19270, 15300, 630, 1220, 276, 1070, 3627, 4498, 321, 2581, 781, 19270, 15300, 585, 30464, 15329, 630, 1220, 277, 1070, 1656, 28584, 2776, 9109, 781, 17677, 19270, 15300, 585, 30413, 267, 5595, 18369, 267, 543, 32316, 630, 1220, 278, 264, 543, 3627, 26741, 5341, 781, 1677, 519, 18234, 14332, 267, 585, 5595, 18369, 267, 3423, 320, 543, 12673, 630, 1001, 275, 1916, 3725, 514, 3835, 717, 2993, 27056, 5206, 606, 3955, 1889, 3960, 334, 543, 570, 5875, 7578, 585, 5595, 18369, 543, 14440, 267, 14956, 269, 476, 280, 267, 3143, 269, 476, 272, 543, 3143, 269, 476, 273, 543, 513, 623, 5361, 644, 1756, 543, 2480, 615, 15605, 585, 5595, 18369, 543, 14440, 267, 14956, 269, 476, 3953, 3143, 269, 476, 272, 543, 3143, 269, 476, 273, 269, 6754, 13130, 655, 603, 5206, 513, 11733, 1227, 4101, 17677, 30464, 12312, 1092, 538, 476, 3707, 280, 269, 7671, 1160, 1729, 5206, 1010, 12312, 1092, 834, 3422, 274, 257, 585, 17677, 30464, 543, 623, 10730, 269, 769, 519, 8168, 5742, 267, 631, 773, 322, 345, 903, 22119, 1177, 1284, 514, 6199, 5206, 1010, 12312, 1092, 3143, 269, 476, 272, 585, 5595, 18369, 21088, 538, 476, 3192, 272, 269, 717, 13519, 20041, 590, 26118, 328, 5206, 1079, 5595, 18369, 4773, 1572, 715, 7057, 538, 476, 3192, 273, 267, 543, 1287, 538, 476, 3192, 277, 267, 646, 5206, 25120, 333, 784, 534, 267, 513, 4062, 585, 1022, 1970, 8686, 334, 5367, 6293, 267, 971, 607, 5595, 18369, 267, 733, 4599, 553, 22792, 267, 610, 8685, 320, 269, 27673, 6431, 7865, 26152, 5206, 21088, 1568, 30147, 646, 1572, 834, 13640, 1963, 257, 1765, 1721, 1082, 7405, 269, 1261, 5206, 3474, 762, 2473, 23997, 585, 17677, 30464, 267, 14956, 269, 476, 14530, 538, 476, 3192, 275, 269, 1924, 325, 807, 717, 889, 4660, 592, 2088, 4050, 2740, 513, 12312, 1092, 585, 5595, 18369, 543, 14440, 538, 476, 3192, 276, 269, 769, 476, 3192, 277, 1977, 8766, 626, 21917, 8751, 9652, 5206, 834, 293, 9430, 910, 513, 1360, 2352, 4062, 585, 21088, 5569, 18369, 257, 538, 799, 519, 6345, 814, 547, 1685, 606, 5393, 4075, 340, 657, 545, 21088, 593, 519, 18369, 15029, 8195, 973, 1746, 513, 1257, 799, 3081, 875, 1360, 2352, 519, 4062, 568, 543, 875, 12691, 646, 610, 1352, 568, 547, 6707, 2347, 519, 2773, 1510, 1818, 513, 12161, 563, 1103, 476, 3192, 278, 10656, 6953, 2426, 4115, 21917, 2983, 5633, 2605, 573, 5206, 513, 1305, 540, 7648, 593, 634, 18479, 11244, 689, 12142, 4149, 320, 25612, 985, 262, 2274, 2961, 333, 10052, 964, 1323, 574, 14513, 585, 1085, 867, 520, 3120, 17677, 30464, 543, 5569, 32316, 269, 769, 476, 2735, 278, 8899, 749, 17389, 828, 10458, 5206, 1010, 12312, 1092, 585, 2552, 4599, 817, 543, 623, 10730, 14956, 269, 476, 2190, 269, 22513, 18372, 6182, 21034, 5206, 519, 834, 22296, 924, 3143, 269, 476, 272, 257, 585, 5595, 18369, 630, 2735, 274, 270, 1220, 276, 1040, 15243, 667, 30638, 2006, 5206, 513, 4062, 585, 21088, 5595, 18369, 13886, 27223, 269, 2475, 5595, 18369, 21088, 626, 543, 21917, 26450, 1090, 570, 675, 16379, 5652, 630, 9799, 476, 4350, 274, 264, 814, 5340, 543, 6592, 811, 982, 476, 4968, 4773, 2854, 676, 543, 585, 1864, 269, 1261, 11339, 12068, 2575, 267, 3046, 20529, 2575, 267, 8106, 267, 15690, 267, 25174, 2575, 267, 1561, 6665, 1049, 2575, 543, 1158, 2575, 454, 4785, 8766, 626, 21917, 17722, 19371, 5206, 513, 840, 331, 8775, 5059, 593, 519, 2539, 11578, 602, 646, 20639, 585, 4626, 3966, 328, 543, 5595, 18369, 269, 7969, 21917, 590, 10944, 334, 645, 1380, 2714, 328, 267, 4171, 21882, 4876, 21269, 689, 519, 476, 4350, 271, 338, 547, 519, 1101, 8717, 540, 519, 476, 2641, 560, 2540, 267, 5206, 513, 21088, 960, 585, 18369, 538, 476, 2735, 274, 13886, 715, 8898, 19664, 8131, 829, 733, 4599, 21353, 810, 269, 29533, 7969, 21917, 30473, 5213, 520, 18223, 5206, 513, 4062, 1572, 19748, 585, 733, 4599, 21353, 810, 538, 519, 1482, 1032, 269, 769, 476, 2735, 280, 267, 3943, 21917, 623, 26696, 667, 639, 777, 514, 630, 9799, 476, 4198, 276, 264, 5206, 513, 21088, 4062, 1572, 769, 1696, 4934, 585, 5595, 18369, 269, 769, 476, 1960, 277, 267, 519, 29813, 2548, 928, 2389, 11712, 22359, 3150, 21917, 10127, 574, 670, 5417, 611, 7768, 9919, 26982, 546, 677, 546, 753, 561, 262, 558, 3691, 9384, 19902, 9497, 3891, 945, 3207, 338, 538, 519, 10723, 20224, 8442, 585, 15571, 5333, 781, 3465, 775, 16635, 269, 681, 6511, 644, 25661, 807, 6363, 976, 630, 9799, 476, 3422, 273, 264, 568, 513, 3943, 5595, 18369, 6345, 543, 21917, 267, 8037, 585, 5373, 593, 15690, 267, 12563, 267, 543, 7489, 2575, 585, 19827, 540, 1010, 4773, 899, 31970, 30464, 630, 1960, 278, 1916, 10521, 1713, 2487, 1568, 2854, 585, 21088, 18369, 1331, 267, 631, 9222, 6424, 990, 20391, 781, 14271, 11388, 3359, 3143, 269, 1556, 585, 5595, 18369, 543, 5907, 4992, 543, 11875, 328, 2714, 25020, 781, 8431, 618, 8633, 267, 585, 21088, 5595, 18369, 269, 634, 4436, 21917, 15168, 14551, 853, 7564, 321, 2401, 5206, 3213, 2914, 773, 918, 28240, 630, 2735, 280, 1700, 3445, 1070, 834, 1862, 320, 2575, 585, 5595, 18369, 21088, 543, 6264, 32316, 2668, 8176, 18961, 528, 514, 523, 3773, 1896, 1271, 1568, 547, 519, 27132, 267, 1975, 3626, 742, 2468, 334, 585, 5595, 18369, 267, 30413, 543, 7249, 320, 27120, 267, 543, 10222, 334, 585, 30464, 29698, 5595, 18369, 267, 8685, 320, 543, 18369, 512, 668, 14752, 267, 543, 538, 476, 1220, 278, 14271, 9471, 585, 5595, 18369, 267, 18057, 267, 1073, 4141, 543, 5587, 6839, 609, 4626, 3966, 328, 543, 12673, 269, 634, 24194, 834, 5353, 1597, 24897, 1744, 1824, 257, 585, 5595, 18369, 543, 14440, 630, 1220, 276, 264, 676, 21977, 21917, 12138, 1744, 3832, 1399, 985, 5652, 814, 513, 21088, 18369, 851, 602, 2882, 1082, 23349, 2409, 540, 4730, 269, 634, 4436, 21917, 1849, 9476, 918, 6686, 18255, 331, 5206, 5510, 2940, 1284, 924, 1315, 7046, 1401, 3966, 572, 630, 1960, 279, 264, 543, 715, 778, 1206, 577, 8705, 8240, 2725, 518, 267, 14034, 636, 2507, 630, 1220, 276, 264, 585, 5595, 18369, 543, 14440, 16638, 476, 1960, 278, 11835, 601, 2372, 1551, 15838, 20827, 519, 1977, 1315, 8225, 21917, 31434, 700, 4240, 324, 651, 547, 2328, 1010, 834, 3519, 322, 15300, 585, 17677, 30464, 543, 2107, 3832, 14259, 2580, 513, 4062, 646, 5340, 609, 634, 17842, 6641, 21620, 2107, 3832, 14259, 267, 609, 519, 32527, 520, 3019, 6641, 21620, 2107, 3832, 14259, 267, 543, 267, 538, 513, 4528, 585, 1507, 32316, 267, 609, 634, 25429, 32108, 6641, 21620, 2107, 3832, 14259, 269, 1290, 1842, 518, 31434, 700, 4240, 324, 651, 849, 7768, 513, 960, 585, 5595, 18369, 267, 1166, 1393, 267, 543, 3423, 320, 609, 32538, 267, 834, 763, 3883, 540, 5999, 2580, 609, 1257, 676, 623, 32631, 715, 518, 19085, 563, 7712, 972, 568, 1100, 3964, 15747, 26254, 602, 2882, 519, 5595, 18369, 267, 922, 946, 538, 12068, 2575, 814, 711, 1044, 607, 29882, 607, 519, 3332, 585, 679, 5145, 956, 971, 607, 519, 5569, 14415, 564, 610, 14440, 2468, 334, 269, 6736, 713, 267, 972, 568, 513, 8101, 1297, 540, 12068, 1568, 476, 602, 6451, 519, 5595, 18369, 538, 1312, 1507, 543, 1804, 679, 5145, 956, 563, 2467, 568, 513, 1507, 1560, 540, 1568, 2854, 585, 14440, 30883, 564, 609, 519, 31627, 540, 14440, 267, 30413, 267, 3423, 320, 267, 1591, 334, 267, 543, 5595, 18369, 269, 634, 1034, 4583, 568, 30686, 5576, 340, 6975, 781, 623, 10730, 2372, 842, 564, 538, 589, 2101, 267, 1634, 607, 834, 763, 24410, 339, 2372, 842, 564, 257, 585, 922, 1305, 540, 7648, 538, 519, 8772, 3350, 540, 5576, 340, 6975, 781, 12603, 5983, 331, 548, 269, 4033, 1568, 585, 713, 31627, 2854, 689, 10199, 519, 1482, 1974, 1331, 1346, 676, 20435, 13605, 558, 4157, 9966, 17745, 267, 6723, 744, 985, 869, 267, 3967, 28247, 529, 15442, 667, 639, 572, 330, 267, 7200, 1047, 10787, 1066, 322, 267, 30544, 681, 625, 267, 30686, 7799, 1067, 267, 20435, 23837, 15434, 1067, 267, 543, 19555, 2335, 3619, 28856, 269, 13536, 25803, 945, 5206, 12068, 1568, 585, 713, 30883, 564, 1331, 25453, 966, 2795, 534, 13879, 267, 2051, 514, 4223, 1492, 9749, 267, 13744, 1546, 752, 267, 7671, 1160, 1729, 267, 543, 3627, 26741, 5341, 269, 590, 2775, 569, 3677, 694, 868, 1115, 2854, 585, 14440, 267, 5569, 14415, 564, 267, 543, 5595, 18369, 723, 1044, 2854, 676, 21634, 1460, 21780, 1564, 810, 18255, 267, 631, 16554, 841, 3794, 1074, 320, 267, 9400, 654, 1716, 1157, 267, 543, 8176, 594, 1407, 563, 1103, 519, 9135, 540, 5569, 30883, 1115, 267, 972, 616, 513, 1906, 1568, 585, 5569, 14415, 564, 609, 5595, 18369, 563, 306, 2775, 569, 4130, 5569, 1568, 609, 519, 5595, 18369, 1331, 3670, 5569, 5067, 21648, 676, 717, 1470, 778, 3626, 17664, 7236, 267, 585, 1079, 3423, 1231, 267, 1591, 334, 267, 543, 5595, 18369, 2854, 693, 519, 2085, 540, 12964, 936, 519, 1576, 540, 1614, 2395, 538, 476, 5197, 275, 269, 1452, 2611, 1010, 1034, 4583, 15747, 1568, 543, 723, 849, 1044, 9862, 585, 2842, 14415, 564, 269, 30686, 16653, 32129, 1889, 3563, 5206, 2185, 21642, 31763, 1115, 585, 3752, 334, 17677, 30464, 267, 15329, 514, 267, 15329, 320, 267, 543, 8426, 334, 538, 667, 11683, 269, 7671, 1160, 1729, 814, 2854, 513, 10222, 334, 585, 15329, 514, 267, 15329, 320, 543, 17677, 30464, 630, 3192, 275, 1070, 476, 273, 13660, 657, 585, 15329, 514, 543, 17677, 30464, 630, 3422, 278, 543, 476, 1220, 276, 1070, 543, 634, 10632, 540, 5239, 585, 744, 2692, 324, 270, 12626, 24125, 543, 17677, 30464, 630, 1960, 272, 1916, 299, 24147, 1568, 602, 6451, 519, 5595, 18369, 1331, 2142, 29348, 781, 20029, 564, 538, 661, 27501, 511, 2101, 267, 14956, 269, 476, 736, 267, 835, 540, 1010, 1034, 4583, 4773, 1282, 1010, 10715, 267, 799, 5161, 540, 5587, 6839, 267, 18057, 267, 1666, 22792, 267, 30413, 267, 3423, 320, 267, 1591, 334, 267, 543, 18369, 269, 1879, 519, 5587, 6839, 626, 30544, 31684, 518, 20827, 513, 960, 689, 30686, 5576, 340, 6975, 585, 2147, 4229, 267, 646, 3773, 835, 811, 30413, 585, 1010, 4239, 564, 538, 674, 2101, 267, 667, 269, 3199, 274, 269, 6754, 13130, 655, 603, 1031 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2087, 519, 4398, 540, 519, 1184, 269, 834, 1607, 1496, 6943, 540, 1382, 316, 949, 6038, 7520, 1646, 540, 1507, 11140, 519, 31706, 585, 18398, 519, 13938, 903, 1378, 20344, 2437, 3081, 667, 532, 269, 834, 5445, 616, 519, 2104, 27532, 4915, 4799, 13146, 5240, 22261, 476, 1704, 910, 1412, 300, 8221, 4303, 262, 16045, 568, 711, 15603, 1762, 268, 976, 564, 19576, 781, 2068, 3247, 1864, 454, 22261, 476, 1704, 910, 10312, 539, 16953, 2982, 9153, 585, 8156, 19576, 781, 12152, 528, 454, 22261, 476, 1704, 910, 1715, 1382, 547, 3077, 2011, 5533, 607, 513, 1761, 9594, 585, 19576, 779, 454, 22261, 476, 1704, 910, 901, 3926, 786, 1577, 596, 1745, 1018, 621, 781, 899, 547, 7985, 689, 19576, 781, 454, 22261, 476, 1015, 910, 1215, 1281, 19576, 781, 2068, 3310, 4965, 888, 22261, 476, 1015, 910, 5600, 16018, 547, 4735, 531, 15525, 22512, 781, 24310, 1942, 24408, 1154, 4604, 454, 22261, 476, 1015, 910, 9786, 2982, 1055, 4585, 602, 26982, 1115, 19576, 781, 12152, 832, 454, 22261, 476, 274, 910, 18096, 1895, 32626, 19576, 781, 2068, 609, 4216, 532, 454, 22261, 476, 274, 910, 11158, 288, 6441, 3633, 29898, 12327, 4456, 2562, 2464, 623, 5588, 28718, 3201, 5508, 590, 5495, 21254, 654, 16787, 2464, 9215, 10790, 2793, 12283, 24315, 298, 27486, 2177, 24912, 20591, 292, 17955, 454, 12914, 476, 2767, 910, 4173, 321, 8336, 781, 3095, 547, 19576, 781, 2068, 454, 12914, 476, 2767, 910, 24857, 308, 14135, 267, 918, 288, 8780, 3744, 3605, 1007, 7271, 602, 3123, 19576, 1014, 2589, 454, 12914, 476, 2767, 910, 476, 3583, 267, 1822, 6115, 2103, 3068, 2362, 6142, 3790, 1310, 11686, 1931, 267, 8387, 2161, 454, 12914, 476, 1240, 910, 11020, 31028, 687, 949, 3565, 547, 19576, 781, 26390, 5209, 454, 12914, 476, 1240, 910, 674, 18017, 19576, 781, 2068, 998, 7544, 454, 12914, 476, 1704, 910, 12207, 10576, 12856, 540, 623, 2562, 298, 272, 267, 6206, 19576, 779, 3491, 15157, 633, 19871, 454, 12914, 476, 1704, 910, 12128, 3075, 11912, 19576, 781, 1981, 676, 476, 2764, 2600, 267, 1353, 9060, 454, 12914, 476, 1015, 910, 25790, 538, 11020, 623, 864, 20447, 11087, 806, 7066, 332, 832, 267, 29452, 19576, 781, 22206, 18996, 14970, 513, 2859, 16453, 5020, 454, 12914, 476, 1015, 910, 6481, 3778, 16393, 6435, 21023, 19576, 781, 8376, 11485, 7043, 6969, 23369, 454, 12914, 476, 274, 910, 15448, 538, 9986, 16371, 10089, 321, 11512, 13809, 540, 3911, 749, 538, 7216, 853, 1137, 540, 19576, 779, 8376, 267, 5530, 4855, 338, 454, 12914, 476, 274, 910, 12619, 5940, 7875, 1734, 2904, 654, 832, 523, 16359, 12580, 538, 19576, 779, 8376, 267, 5530, 21909, 338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3236, 267, 538, 513, 6280, 6538, 267, 4841, 267, 20043, 267, 543, 5584, 832, 1131, 782, 20618, 607, 3982, 9988, 269, 3962, 11769, 814, 2404, 3601, 1572, 10305, 282, 789, 4766, 1808, 4162, 540, 606, 11769, 269, 6201, 540, 2875, 10305, 1522, 1331, 9906, 9517, 267, 8745, 267, 6520, 267, 13834, 267, 19478, 17372, 267, 3092, 780, 273, 269, 23792, 11310, 543, 12650, 1005, 18712, 454, 2691, 8888, 12240, 267, 13830, 4641, 3322, 16565, 3573, 6389, 1702, 269, 901, 1797, 8499, 5432, 1944, 13951, 609, 519, 1858, 1373, 24018, 1107, 552, 3052, 1421, 5663, 3157, 267, 2883, 8852, 267, 3782, 5773, 267, 3872, 5238, 267, 543, 865, 8521, 269, 1635, 3257, 865, 267, 596, 666, 2697, 4143, 9988, 543, 741, 7222, 10305, 3927, 269, 898, 849, 2337, 2327, 519, 6111, 543, 1264, 28467, 540, 707, 4611, 3631, 2094, 789, 5702, 5447, 609, 4890, 9259, 780, 274, 269, 32368, 281, 17291, 23433, 2382, 1734, 454, 1103, 1169, 3349, 8204, 606, 11769, 267, 10569, 1404, 513, 2565, 1909, 269, 1358, 19918, 10646, 1063, 1367, 5638, 610, 8320, 540, 1346, 9988, 269, 1703, 616, 1079, 1292, 2010, 540, 10569, 281, 3119, 543, 4914, 269, 12729, 10569, 616, 1031, 14311, 1369, 513, 2582, 3349, 267, 4180, 1100, 26134, 2418, 2291, 2066, 9343, 269, 14579, 10569, 3095, 7515, 1927, 3842, 3838, 9587, 267, 7551, 9591, 4296, 1851, 2789, 9988, 780, 275, 269, 17716, 281, 20780, 532, 898, 2353, 8625, 454, 22209, 885, 2097, 9800, 950, 4448, 998, 3347, 267, 8108, 6946, 3103, 602, 11604, 1483, 8996, 3871, 269, 1323, 7681, 1063, 1079, 9988, 13054, 513, 2078, 269, 5871, 2010, 540, 3347, 1331, 1412, 821, 3562, 2173, 1415, 10086, 1412, 28236, 3562, 2173, 1415, 10086, 543, 1412, 821, 3562, 14633, 9538, 8528, 2690, 1383, 267, 952, 649, 1921, 938, 3105, 9988, 267, 1775, 4318, 1421, 4841, 543, 20043, 267, 513, 2009, 2078, 1223, 581, 27350, 269, 2290, 2875, 949, 18934, 538, 1082, 6030, 267, 1247, 1142, 1576, 1223, 723, 1896, 1053, 10805, 269, 4935, 267, 713, 3029, 513, 5929, 1412, 28236, 3562, 2173, 1415, 262, 2078, 8506, 606, 10827, 776, 3349, 1634, 607, 513, 22882, 610, 11837, 3349, 780, 276, 269, 18317, 30894, 281, 10439, 1944, 13216, 7010, 454, 4467, 14658, 1949, 1831, 19242, 1210, 9980, 640, 7304, 601, 725, 1222, 12222, 630, 26314, 1040, 8641, 673, 11269, 7520, 2792, 543, 8223, 1282, 5717, 1472, 1062, 6189, 269, 13507, 545, 14908, 20301, 1585, 2609, 899, 9988, 267, 10305, 267, 3347, 267, 3556, 514, 1275, 267, 543, 1883, 10148, 11617, 780, 277, 269, 7351, 12367, 543, 7464, 21509, 10241, 454, 9213, 781, 2462, 1239, 5054, 3747, 10427, 18317, 300, 2553, 1813, 547, 2810, 6988, 543, 4336, 269, 16610, 899, 28203, 6823, 22345, 543, 3143, 21415, 12240, 10460, 1007, 2591, 547, 2757, 2409, 269, 1717, 267, 13654, 3741, 2611, 4570, 5103, 9687, 4066, 780, 18600, 3734, 3156, 2039, 4922, 267, 18363, 3309, 9922, 269, 6875, 8835, 267, 585, 3236, 269, 4706, 1587, 16252, 2599, 12346, 8185, 593, 1134, 3613, 19099, 1239, 1759, 593, 7347, 18317, 300, 2853, 269, 6684, 267, 5907, 1072, 2594, 1949, 538, 10506, 9691, 4096, 2390, 3280, 18317, 300, 2994, 547, 5838, 3608, 3461, 1416, 780, 278, 269, 10765, 5525, 543, 8892, 19648, 454, 12867, 3136, 17975, 16097, 4478, 18317, 300, 269, 9828, 5473, 12957, 267, 2067, 1893, 4393, 267, 3684, 1565, 6620, 267, 543, 23066, 1357, 4066, 2832, 547, 2087, 4398, 267, 2569, 1480, 5470, 267, 543, 5512, 25382, 269, 1306, 4213, 5352, 811, 2019, 6058, 748, 543, 9867, 14449, 267, 5499, 3435, 16107, 4359, 18317, 300, 4485, 786, 17216, 3337, 14182, 781, 3059, 5251, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 568, 513, 4756, 286, 1700, 1492, 2012, 540, 513, 1871, 269, 1548, 568, 606, 14487, 286, 1700, 1492, 2012, 540, 513, 3959, 269, 1452, 616, 519, 2324, 8847, 602, 1034, 540, 721, 1265, 7850, 538, 3232, 1272, 543, 3232, 2780, 2257, 269, 1677, 2015, 2436, 972, 568, 811, 547, 621, 568, 547, 2015, 606, 23835, 1108, 267, 519, 23835, 1108, 540, 519, 4756, 269, 1772, 972, 513, 1434, 3102, 4214, 540, 834, 19702, 762, 257, 585, 1053, 543, 2482, 11825, 976, 888, 5575, 267, 2705, 267, 1577, 781, 2232, 519, 1641, 602, 14340, 30326, 1141, 4632, 2743, 1158, 569, 23835, 1108, 9789, 3318, 1374, 540, 606, 23835, 1108, 585, 930, 1483, 3364, 267, 538, 930, 6389, 267, 9141, 676, 513, 5010, 991, 547, 7001, 930, 13055, 538, 513, 6538, 269, 634, 2243, 568, 267, 834, 1432, 798, 649, 991, 547, 1832, 3950, 540, 24350, 2414, 2626, 602, 2243, 9789, 516, 781, 2724, 538, 621, 1765, 7528, 2231, 3573, 1702, 540, 930, 1483, 8996, 26750, 540, 2534, 267, 971, 607, 22927, 267, 610, 32097, 1242, 7963, 13800, 267, 610, 4108, 11766, 906, 267, 610, 645, 867, 324, 14513, 25299, 1496, 301, 1195, 543, 5062, 10817, 1465, 3910, 2059, 609, 519, 1983, 547, 2099, 602, 1702, 538, 930, 1239, 1893, 269, 11554, 896, 519, 1303, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22209, 640, 7304, 601, 725, 1222, 21290, 630, 2207, 300, 17983, 607, 851, 540, 834, 28035, 1315, 4578, 3163, 1315, 4578, 21290, 1299, 5071, 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, 6092, 5149, 281, 4197, 10555, 5081, 7724, 543, 4256, 8177, 593, 15215, 692, 8893, 281, 634, 17583, 9737, 6154, 655, 21863, 543, 30963, 1143, 692, 8702, 547, 938, 3408, 540, 875, 5728, 7239, 666, 1764, 4984, 256, 4653, 267, 649, 786, 4685, 883, 519, 4241, 1158, 540, 6154, 655, 21863, 543, 1451, 827, 922, 4276, 547, 30963, 1143, 267, 835, 540, 519, 16595, 21212, 10764, 538, 519, 2136, 2276, 269, 1635, 1620, 713, 2078, 267, 596, 3513, 2744, 4030, 883, 875, 1114, 3661, 1949, 666, 18595, 710, 543, 3337, 1142, 824, 780, 1432, 616, 10555, 5081, 7724, 888, 10900, 14945, 5970, 596, 2479, 4862, 540, 3906, 899, 519, 12928, 2074, 16574, 541, 267, 14472, 545, 745, 857, 753, 267, 610, 4787, 1638, 543, 645, 2158, 286, 1452, 2516, 616, 1634, 607, 5728, 7239, 1317, 789, 1419, 1832, 1978, 3344, 540, 741, 2853, 6456, 689, 1875, 2173, 20047, 269, 3509, 1004, 1589, 891, 7239, 3180, 12357, 12738, 543, 4865, 3504, 11580, 269, 1809, 1018, 2306, 873, 3226, 4277, 568, 875, 741, 4978, 3006, 11100, 609, 1346, 540, 811, 13416, 10764, 780, 26466, 655, 21863, 281, 589, 15019, 10555, 5980, 454, 5785, 21387, 3080, 1134, 8153, 5728, 2486, 568, 1572, 6154, 655, 21863, 269, 5853, 539, 936, 476, 4968, 1296, 3516, 267, 6154, 655, 3517, 1445, 593, 5837, 2418, 267, 17493, 267, 543, 7015, 3125, 269, 1358, 946, 11265, 6698, 899, 10945, 267, 2157, 267, 543, 735, 13293, 538, 741, 10752, 269, 6736, 1455, 20887, 267, 6154, 655, 21863, 1281, 711, 3409, 547, 581, 513, 4984, 282, 3079, 267, 621, 7512, 2818, 547, 1246, 741, 1378, 5132, 1247, 8026, 21644, 971, 607, 5168, 267, 19969, 267, 543, 11587, 780, 300, 768, 517, 1143, 281, 589, 23433, 1977, 18321, 454, 29432, 3086, 1577, 781, 2911, 827, 30963, 1143, 267, 1776, 10578, 3661, 1062, 269, 12079, 6053, 1634, 607, 519, 5783, 540, 4906, 2441, 540, 700, 2660, 6377, 29513, 630, 299, 9169, 1070, 30963, 1143, 729, 3964, 538, 519, 2038, 476, 5197, 271, 338, 676, 9478, 8055, 269, 901, 5132, 814, 2189, 30920, 267, 1519, 519, 3883, 540, 30963, 267, 799, 6645, 2984, 540, 3504, 4892, 945, 1185, 3346, 609, 10143, 7919, 269, 6145, 6154, 655, 21863, 267, 30963, 1143, 11363, 13919, 267, 1920, 2418, 267, 543, 2123, 13414, 780, 763, 28249, 540, 6154, 655, 21863, 543, 30963, 1143, 454, 14343, 21387, 3383, 267, 1141, 798, 891, 1079, 3661, 1949, 2743, 286, 4270, 267, 9478, 8055, 543, 1896, 824, 2038, 30963, 3401, 941, 2965, 6154, 655, 3517, 1354, 15713, 519, 700, 9169, 5939, 256, 1306, 513, 1267, 267, 930, 2609, 540, 6154, 655, 21863, 1336, 741, 1259, 883, 30963, 12738, 543, 10752, 269, 1280, 3236, 267, 1312, 2671, 2147, 13513, 267, 899, 1210, 24203, 976, 543, 7900, 3946, 327, 1389, 269, 1717, 267, 891, 4296, 723, 17275, 9840, 1851, 5640, 543, 13794, 7567, 3823, 519, 6708, 540, 6154, 655, 21863, 781, 3310, 593, 30963, 1143, 780, 14300, 540, 29062, 32655, 676, 5637, 20492, 454, 14343, 7042, 4131, 781, 1413, 693, 513, 1906, 1806, 540, 3838, 6698, 1063, 6154, 655, 21863, 543, 30963, 1143, 1384, 2162, 2878, 272, 269, 1262, 4455, 976, 692, 13828, 6154, 655, 3517, 543, 26599, 976, 5957, 2027, 24203, 976, 1282, 18428, 269, 769, 6154, 655, 21863, 267, 24203, 976, 2099, 19454, 543, 8956, 269, 6684, 267, 538, 30963, 11454, 10847, 267, 24203, 976, 24901, 5289, 27194, 543, 11428, 780, 2162, 2878, 273, 269, 1262, 24732, 327, 1389, 692, 22492, 3946, 327, 1389, 616, 1031, 1369, 1312, 2950, 607, 4191, 540, 6284, 543, 31776, 269, 1452, 17267, 4196, 607, 23106, 540, 3838, 3741, 543, 7554, 1063, 21071, 780, 2162, 2878, 274, 269, 1262, 13527, 15339, 692, 5278, 8044, 602, 1978, 700, 9169, 17633, 18613, 631, 21319, 6189, 1813, 547, 3838, 13513, 269, 1280, 1383, 267, 1312, 5656, 1522, 4183, 22225, 267, 30617, 267, 543, 1750, 322, 651, 1042, 19683, 780, 3963, 6496, 898, 17460, 888, 2411, 14945, 8139, 519, 10167, 540, 1585, 3909, 5389, 2337, 721, 5660, 519, 4763, 543, 6988, 540, 1480, 3661, 1949, 269, 5047, 267, 6313, 891, 4296, 2636, 721, 547, 1294, 875, 9583, 20775, 19237, 666, 1265, 1455, 2666, 543, 10802, 835, 1776, 269, 5457, 267, 1498, 267, 602, 1169, 1367, 781, 7664, 949, 8428, 1759, 593, 741, 4282, 543, 2833, 780, 1103, 3932, 267, 3695, 519, 3095, 1063, 6154, 655, 21863, 543, 30963, 1143, 3091, 3407, 5813, 883, 875, 3982, 3661, 1949, 666, 19467, 543, 2170, 269, 3414, 1565, 827, 891, 4296, 267, 649, 1020, 6568, 267, 7279, 267, 543, 2463, 585, 1866, 262, 5380, 1107, 1898, 7907, 538, 2221, 781, 3309, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18800, 540, 22216, 2643, 700, 269, 19839, 334, 267, 15608, 19378, 4210, 1157, 8633, 267, 543, 22956, 590, 269, 22175, 619, 7288, 267, 6396, 5606, 9548, 281, 6154, 655, 21863, 543, 519, 30963, 26198, 630, 306, 5306, 8235, 4975, 281, 15535, 918, 4752, 867, 7734, 267, 476, 1708, 273, 1040, 476, 276, 4510, 3817, 269, 1269, 4510, 269, 4817, 630, 14551, 3724, 5148, 1269, 4097, 269, 4817, 630, 7809, 16225, 1916, 20082, 281, 1703, 568, 1454, 547, 8661, 538, 713, 1271, 1007, 1353, 540, 6154, 655, 21863, 543, 519, 700, 2660, 6377, 29513, 269, 1677, 741, 5491, 267, 519, 4589, 723, 16309, 538, 2870, 513, 960, 602, 568, 21950, 982, 4505, 2090, 540, 519, 1641, 267, 2625, 532, 1082, 5892, 23257, 1819, 23456, 540, 631, 21319, 3310, 593, 700, 2660, 6377, 12142, 1272, 543, 2219, 689, 519, 4098, 540, 519, 26198, 998, 519, 1439, 540, 519, 13524, 2540, 269, 2334, 1767, 267, 519, 1433, 779, 546, 13550, 5944, 3376, 5619, 23119, 689, 19514, 2298, 593, 930, 540, 519, 1082, 3584, 621, 16084, 13124, 8214, 956, 269, 2755, 9301, 519, 1353, 779, 9645, 26350, 267, 922, 28919, 1590, 849, 581, 2808, 269, 1280, 713, 2601, 267, 594, 4076, 5258, 713, 2689, 883, 1614, 2694, 281, 1548, 779, 6153, 267, 1548, 779, 7726, 762, 267, 543, 1548, 779, 31932, 269, 594, 9959, 609, 27696, 8343, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 1108, 543, 23075, 5525, 257, 607, 851, 540, 834, 32628, 1315, 4065, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]